N = 100; K = 100; M = 1640; S = 1; T = 99; C = [31,41,50,48,34,19,91,99,65,54,35,14,14,60,80,55,93,10,81,9,40,9,49,7,88,85,51,82,40,92,57,49,64,95,33,67,27,19,14,20,2,9,43,29,15,13,39,52,90,53,77,17,29,50,4,93,45,80,3,29,73,58,10,59,5,99,45,50,84,29,75,30,11,8,71,41,8,31,80,70,56,41,70,93,39,8,5,31,34,73,16,33,52,8,7,33,55,59,46,11]; A = [|0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, |0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, |0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0, 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[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,35,36,36,36,36,36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,38,38,38,38,38,38,38,38,38,39,39,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,45,45,45,45,45,45,45,45,45,45,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,50,50,50,50,50,50,50,50,50,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,52,53,53,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,55,55,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,56,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,58,58,58,58,58,58,59,59,59,59,59,59,59,59,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,61,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,63,64,64,64,64,64,65,65,65,65,65,65,65,65,65,65,65,65,65,65,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,66,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,69,70,70,70,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,77,77,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,78,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,81,81,81,81,81,81,81,81,81,81,81,81,82,82,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,83,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,84,85,85,85,85,85,85,85,85,85,86,86,86,86,86,86,86,86,86,86,86,86,87,87,87,87,87,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,89,89,89,89,89,89,89,89,89,89,89,89,89,89,90,90,90,90,90,90,90,90,90,90,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,93,93,93,93,93,93,93,93,93,93,93,96,96,96,96,96,96,96,97,97,97,97,97,97,97,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,99,99,99,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,91,81,80,75,74,73,72,71,69,65,64,62,61,59,57,55,52,51,50,49,48,47,46,45,44,43,41,40,37,36,35,34,33,31,30,28,27,26,25,24,23,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,3,2,1]; V = [75,24,45,22,14,97,54,94,51,14,94,75,8,64,69,81,27,92,7,72,10,10,90,75,6,96,27,32,75,12,46,30,10,23,35,32,75,74,10,82,10,13,52,60,36,35,53,50,5,78,60,79,71,59,75,6,46,46,69,78,58,42,28,86,81,51,30,4,29,99,37,39,20,13,32,13,32,77,74,16,9,1,51,47,39,60,83,99,85,83,94,3,49,10,30,71,80,97,76,15,48,84,52,63,10,35,79,31,75,70,43,32,25,93,37,5,64,31,12,87,29,51,72,41,38,3,80,77,92,14,62,56,68,52,73,43,92,75,80,50,97,96,43,62,76,81,44,9,29,49,72,89,84,94,81,13,98,75,100,17,49,4,17,77,97,88,70,83,22,74,27,100,86,78,23,65,31,14,8,95,83,83,24,92,21,43,61,60,32,97,51,6,84,7,13,6,13,99,62,20,26,37,20,2,26,94,27,51,27,93,47,83,96,4,40,5,39,29,94,43,79,1,14,8,60,1,58,60,57,70,50,1,15,40,70,51,16,90,49,60,34,89,77,89,27,23,8,31,2,94,97,92,94,56,39,46,89,63,2,68,21,94,45,31,31,33,100,36,52,73,1,69,34,28,59,38,81,100,93,17,44,49,39,75,63,88,97,22,42,14,55,11,41,21,73,19,39,55,31,71,88,53,53,24,98,62,28,20,8,70,92,58,1,21,59,25,65,40,43,69,39,54,65,81,47,17,53,88,9,100,35,84,9,6,67,60,2,52,52,49,14,81,3,9,46,42,77,26,46,16,84,55,53,91,28,64,90,95,65,36,32,69,30,67,96,15,1,57,24,40,97,63,5,6,95,83,42,19,22,83,55,77,61,72,92,38,33,85,91,67,95,88,17,6,75,82,33,13,44,40,53,59,25,22,92,80,35,33,100,20,90,24,47,41,47,72,89,59,44,6,78,78,15,37,78,66,20,93,52,48,97,83,30,32,46,82,49,20,64,43,91,57,92,80,23,67,29,56,37,93,13,57,17,10,52,10,51,48,44,83,7,66,86,4,25,7,65,34,17,23,18,47,29,91,2,9,15,33,77,12,73,71,67,76,9,83,8,49,49,20,44,23,80,82,93,57,10,22,79,78,4,83,12,66,53,84,99,17,19,7,70,19,78,38,43,96,38,15,89,14,14,65,38,45,21,35,85,48,27,37,98,67,82,15,54,46,87,18,35,29,46,49,66,53,57,82,35,61,51,72,56,27,48,99,68,46,72,19,99,89,60,51,70,63,62,87,54,59,67,37,19,44,71,56,39,19,9,33,38,45,99,69,68,68,93,4,93,63,57,44,67,62,67,81,51,69,40,41,74,20,2,21,10,35,91,6,94,80,89,67,17,51,43,6,8,47,12,18,33,52,96,7,9,3,2,89,5,86,56,71,39,80,72,68,83,80,41,15,19,75,94,41,86,39,98,79,27,44,22,77,1,84,15,94,95,99,82,14,31,90,81,21,84,87,65,15,6,29,53,47,18,22,70,73,18,42,84,83,1,80,28,57,43,68,1,45,72,57,10,23,82,9,66,22,64,97,97,6,78,63,24,6,45,91,33,90,9,23,23,64,46,94,77,21,76,87,61,75,58,100,55,5,4,32,67,73,95,14,81,69,64,23,24,100,21,69,86,17,63,74,36,59,48,17,15,24,34,43,17,46,3,2,26,86,98,41,88,42,97,55,39,68,70,9,51,86,28,31,24,16,6,66,39,46,57,14,69,3,88,19,18,29,95,37,88,15,82,76,34,66,10,10,9,88,13,69,56,92,26,38,84,99,94,23,7,64,82,11,19,100,45,86,42,90,60,20,50,58,22,84,98,24,4,99,78,60,98,88,16,38,82,40,3,23,35,87,91,27,49,1,97,12,7,89,79,3,94,5,4,94,38,66,10,73,57,22,95,85,37,94,61,24,92,95,14,15,80,4,23,11,56,90,23,100,36,16,58,13,53,14,100,90,8,2,55,55,45,93,24,15,69,33,87,60,78,93,1,53,65,33,48,46,70,45,21,75,70,78,39,59,90,12,8,70,37,92,23,14,65,34,39,49,30,12,39,32,52,69,13,81,11,25,100,65,42,35,45,57,38,85,7,100,31,15,97,43,3,94,25,8,66,2,13,46,48,15,24,65,17,74,50,25,71,92,59,23,94,68,40,80,12,83,33,34,94,95,31,15,96,42,76,69,14,97,66,76,88,36,32,4,74,20,81,18,88,26,75,11,12,17,70,65,84,61,52,36,42,25,57,76,12,95,52,49,82,56,80,48,89,54,7,39,14,68,11,33,4,36,5,50,11,36,83,18,31,70,71,68,44,96,35,18,96,81,64,37,76,32,9,38,19,76,4,79,97,25,62,33,6,51,38,80,15,92,17,33,66,12,55,3,83,38,62,88,73,12,33,96,76,48,12,58,74,87,47,42,47,22,95,94,37,2,69,78,37,89,90,34,44,70,38,70,74,5,11,80,52,17,12,4,9,50,68,45,77,61,31,11,61,72,45,82,89,95,30,55,49,36,67,81,37,33,9,81,56,83,16,88,41,12,100,93,19,96,82,30,14,16,8,62,38,95,21,43,60,68,63,17,20,5,61,69,20,74,13,15,93,57,89,68,45,86,23,69,86,7,55,73,33,15,87,24,85,27,60,62,54,1,99,51,54,13,92,40,61,70,26,7,15,1,100,1,94,96,85,19,60,71,48,33,78,7,94,18,63,55,100,20,8,6,31,57,93,14,93,39,23,97,51,92,24,45,53,62,72,2,20,17,48,7,99,22,6,83,40,18,32,6,94,86,48,51,67,84,9,14,54,74,37,47,91,17,8,41,94,12,67,24,69,13,8,97,99,15,64,100,21,66,44,68,92,10,7,85,98,47,14,29,44,95,29,98,71,60,25,18,9,96,48,12,80,30,98,8,57,46,64,42,56,2,87,22,53,45,11,54,74,71,56,37,45,28,34,18,20,20,97,31,1,56,46,99,91,42,24,17,75,51,35,40,33,51,39,39,33,89,85,4,27,86,42,69,40,41,9,7,44,85,49,56,9,80,80,27,36,51,27,93,59,53,88,54,99,43,89,50,72,11,52,21,86,43,16,47,61,46,72,36,5,63,96,3,8,47,99,92,74,29,6,69,15,38,40,25,5,64,68,79,38,21,32,43,64,67,18,95,16,10,47,37,16,20,1,21,58,29,30,74,58,84,46,89,32,70,35,47,30,91,41,17,10,43,8,30,14,54,38,81,14,93,8,38,68,79,81,39,36,21,83,16,13,4,99,34,72,9,34,85,61,52,76,38,78,1,53,4,4,21,84,8,58,36,31,14,61,75,20,11,72,3,39,6,5,65,96,45,40,23,31,11,17,76,56,34,28,22,35,29,89,80,4,22,2,20,91,9,56,73,98,84,60,59,14,93,72,30,34,93,75,51,41,23,71,18,49,53,4,53,48,16,94,89,72,19,94,100,21,69,75,79,8,54,9,8,83,10,72,17,39,80,1,89,79,65,55,56,64,39,40,28,8,26,1,40,72,95,57,26,70,99,91,81,80,75,74,73,72,71,69,65,64,62,61,59,57,55,52,51,50,49,48,47,46,45,44,43,41,40,37,36,35,34,33,31,30,28,27,26,25,24,23,21,20,19,18,17,16,15,14,12,11,10,9,8,7,6,5,4,3,2]; D = [688,970,589,975,690,579,843,442,967,657,922,431,553,806,729,646,879,825,655,591,616,480,648,550,441,901,576,453,667,895,440,449,810,622,527,838,731,739,428,547,839,860,457,826,799,735,654,867,664,537,833,845,831,972,935,540,461,516,945,483,871,860,621,794,823,427,978,916,852,674,793,993,998,887,408,657,685,724,513,868,903,802,658,666,610,765,731,656,419,977,543,843,948,781,463,884,852,451,825,801,955,554,519,684,929,810,415,435,814,875,811,768,738,788,870,469,590,820,828,680,621,997,469,663,986,549,480,483,916,582,509,843,645,414,867,798,692,597,916,666,613,530,729,724,612,460,828,832,694,700,991,428,732,928,585,722,740,569,746,481,535,919,905,569,555,590,574,931,494,924,412,681,691,583,515,691,440,675,950,627,427,544,572,544,527,470,874,918,758,560,881,911,558,599,844,430,656,961,701,629,450,598,488,598,645,806,574,855,479,832,910,420,799,506,520,725,590,939,532,898,970,406,403,851,556,544,867,954,871,508,447,557,973,586,901,593,493,846,698,702,841,566,422,804,672,556,890,971,433,807,508,524,782,439,773,917,526,892,564,490,965,419,421,705,1000,832,451,454,971,415,733,721,674,494,444,676,448,898,756,878,916,845,701,883,412,535,887,948,833,911,866,671,676,975,598,918,858,539,896,771,482,462,692,991,940,812,790,906,575,406,861,964,937,634,492,789,852,740,813,795,413,927,649,550,574,644,616,670,869,738,778,795,692,472,855,709,625,917,776,583,804,653,460,557,979,748,424,893,461,419,897,534,426,736,444,849,587,508,475,944,897,809,963,803,966,917,470,899,505,977,891,542,401,922,462,464,722,946,593,437,474,661,831,753,414,806,917,985,529,860,432,757,578,920,517,938,797,816,512,743,410,908,728,858,428,865,665,995,496,478,550,622,480,441,739,452,436,739,553,523,725,946,438,794,880,427,464,761,772,817,454,686,765,494,717,477,832,842,929,618,475,730,580,671,577,471,455,590,922,441,624,485,686,760,745,886,469,852,625,455,616,517,551,922,820,414,717,973,522,480,434,596,984,925,547,808,758,467,512,979,965,772,841,851,723,654,727,938,801,835,664,678,672,652,919,734,596,439,866,989,605,789,761,459,986,550,966,514,513,452,769,401,610,822,874,472,621,993,905,591,436,563,660,777,924,567,914,553,979,556,859,757,401,618,800,887,798,441,879,827,868,947,881,484,574,908,992,680,892,660,855,813,687,561,759,765,901,685,646,775,528,628,662,846,807,977,408,657,533,853,424,992,977,461,786,498,675,868,566,771,820,611,544,551,528,766,777,780,607,414,592,826,593,851,623,737,895,694,933,960,831,661,842,793,565,741,883,877,949,737,642,990,478,456,517,772,606,800,749,505,903,683,560,532,623,520,520,677,960,711,420,817,879,856,832,493,597,565,890,828,559,807,533,475,839,867,940,908,936,771,601,701,555,583,804,478,897,543,750,847,760,771,581,904,571,490,740,795,776,485,787,798,588,632,484,975,559,900,946,457,837,885,556,443,436,840,851,507,565,455,919,890,782,409,560,607,672,973,851,564,604,791,521,532,742,473,537,489,599,611,747,997,449,809,475,693,437,448,588,902,445,676,590,524,542,867,603,749,660,649,423,894,760,430,988,457,481,891,650,864,742,934,754,402,937,656,498,809,627,715,416,892,780,737,505,439,887,883,992,457,956,440,749,860,555,516,709,692,674,674,972,587,990,634,814,980,960,830,432,555,717,852,404,964,608,583,774,876,652,510,878,427,633,568,546,729,736,695,777,477,524,963,772,597,959,502,672,845,943,864,634,509,453,426,718,673,472,506,818,760,632,650,998,569,700,704,890,509,510,783,652,657,466,402,509,421,681,825,595,917,993,772,867,667,691,680,407,878,604,525,511,951,604,867,946,989,692,898,679,983,818,898,928,927,959,675,903,573,486,459,510,879,657,613,701,441,678,469,757,619,946,906,843,818,613,480,619,857,587,715,409,602,532,843,895,548,504,961,796,479,472,851,640,738,458,498,483,615,949,973,581,962,455,946,434,647,704,462,559,916,916,471,499,962,697,907,429,751,817,572,828,653,475,480,740,932,945,878,512,725,614,936,678,909,830,544,772,655,859,870,570,475,828,882,551,513,961,749,445,521,468,694,553,678,953,713,874,530,783,968,799,709,814,961,802,559,670,446,881,449,615,469,782,741,630,441,997,419,534,622,910,441,863,434,788,455,469,445,404,613,995,740,593,912,506,957,643,537,641,608,921,632,730,979,509,439,797,401,816,606,654,763,666,525,537,497,417,676,694,739,774,451,990,817,986,594,841,539,481,803,578,643,761,545,700,481,552,424,978,876,912,698,517,734,783,862,596,462,615,676,557,834,410,588,477,518,766,832,802,798,762,886,458,902,784,705,664,734,872,690,903,472,957,616,970,686,924,703,447,952,609,663,920,672,990,992,419,948,675,740,839,924,911,989,935,779,435,652,775,892,674,488,888,590,702,947,632,665,900,873,674,623,437,914,970,941,526,766,854,676,795,835,907,468,484,732,418,744,747,605,859,624,472,662,895,740,852,439,562,821,808,451,552,916,561,837,544,682,418,648,900,740,952,992,816,598,504,611,493,879,959,858,756,480,771,574,736,890,801,823,634,523,673,508,994,485,970,452,792,536,747,635,807,531,951,511,458,733,655,598,556,479,440,668,534,875,973,768,834,681,420,941,519,473,694,984,992,832,449,917,655,902,429,710,474,411,611,457,891,423,641,600,611,625,600,736,759,895,669,835,718,905,720,573,591,878,729,480,722,47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