N = 100; K = 100; M = 1830; S = 1; T = 100; C = [86,18,47,92,36,27,48,70,34,36,86,7,48,100,15,20,56,74,25,10,15,64,79,35,84,63,92,87,19,83,23,99,27,39,91,93,21,10,19,85,7,90,74,72,33,59,71,51,57,71,21,60,68,20,40,3,46,92,96,77,64,7,72,71,8,85,15,59,75,6,52,21,33,44,67,38,87,63,96,83,31,42,74,6,18,80,1,7,80,11,98,91,91,24,57,36,39,79,29,2]; 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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V = [43,6,7,57,13,85,53,2,78,89,15,83,78,22,3,54,17,100,7,73,31,27,11,8,35,59,12,52,29,47,54,4,12,16,87,38,96,88,91,95,65,64,60,44,37,48,8,85,22,100,1,27,70,89,76,95,56,52,13,57,65,36,65,68,21,92,37,81,25,86,57,3,80,11,47,25,92,39,30,13,8,2,58,1,6,14,75,83,71,32,56,88,31,38,50,21,61,68,30,62,82,62,86,10,21,46,64,85,2,40,94,79,33,64,43,80,11,91,45,51,98,44,2,15,28,3,7,75,95,40,93,46,53,72,77,20,76,46,21,81,16,60,43,25,62,61,14,100,35,95,83,28,76,61,44,15,3,55,11,58,97,93,1,29,80,11,96,96,42,9,46,52,89,94,12,21,100,6,52,40,1,19,42,96,39,61,25,30,18,98,83,64,41,18,2,16,6,33,14,52,68,24,12,73,88,96,38,47,74,72,18,46,30,16,52,37,81,40,96,79,43,20,66,19,76,40,51,44,23,100,91,10,34,22,10,21,13,65,57,2,98,54,40,50,18,97,60,81,19,77,67,26,87,60,29,46,82,73,62,38,59,17,49,13,41,21,17,31,52,30,33,19,14,26,70,44,29,54,30,5,26,74,87,34,21,74,50,43,31,97,64,50,8,92,52,52,88,16,59,80,91,73,5,97,92,62,86,57,60,70,48,39,29,40,73,35,14,64,15,41,22,70,44,79,55,42,79,56,88,52,27,17,16,98,57,22,46,24,17,67,3,90,7,28,61,52,72,57,81,79,92,65,77,59,38,30,38,11,3,79,58,19,59,77,92,61,58,72,34,77,49,39,57,72,19,50,43,73,36,83,70,68,26,34,37,41,84,39,84,44,30,25,23,79,25,96,69,51,33,59,48,57,5,36,49,87,35,52,86,72,18,84,93,80,78,78,16,67,71,4,89,81,89,8,63,5,84,53,99,57,39,93,26,42,61,74,33,85,6,100,63,10,65,27,10,82,5,45,8,11,20,97,1,24,18,74,37,24,85,99,29,40,86,59,19,69,98,59,73,85,65,66,87,5,85,17,16,45,77,57,6,3,68,80,24,66,78,44,40,1,79,6,20,18,16,76,35,92,55,62,60,34,2,65,60,19,69,98,57,50,97,73,82,19,97,10,47,82,1,21,96,95,13,2,93,86,93,48,49,84,69,46,77,51,14,12,1,17,88,84,91,14,55,11,46,86,69,76,25,90,80,17,68,7,57,96,21,42,21,66,22,46,24,74,25,44,38,63,88,90,23,53,97,42,31,33,43,36,1,16,51,28,47,51,88,74,45,75,9,30,67,17,66,37,49,90,12,28,38,22,9,74,32,20,1,82,72,1,46,58,92,41,96,60,54,58,54,73,91,44,79,57,76,53,55,78,33,44,70,4,100,67,52,39,71,4,73,27,84,45,13,32,45,64,10,2,28,19,14,52,49,96,54,41,54,93,19,74,21,48,70,46,49,47,17,39,21,89,56,69,92,68,30,51,34,24,66,10,34,15,51,52,72,15,35,83,75,62,12,23,6,1,72,53,54,51,35,79,49,15,98,63,69,69,96,89,23,5,17,72,52,11,8,41,40,62,92,53,70,37,95,34,99,48,3,98,63,92,14,68,26,19,72,95,24,28,9,19,10,49,88,23,46,83,15,49,53,25,60,56,75,6,72,85,49,2,33,38,27,9,55,65,19,91,80,51,88,36,81,35,90,85,16,59,93,94,47,76,35,74,9,73,40,55,71,13,84,9,30,100,3,57,54,35,66,40,43,53,99,38,42,65,25,82,29,1,38,90,99,27,55,47,22,29,2,25,99,75,59,37,15,98,32,98,38,18,66,59,92,64,75,50,58,20,100,34,76,71,53,64,38,95,86,65,96,22,71,38,49,22,72,90,69,51,65,30,73,83,39,93,63,51,63,66,62,45,15,31,86,26,64,51,3,26,86,91,51,63,65,34,100,85,70,89,43,91,37,48,48,33,94,55,76,99,26,54,65,21,7,9,68,43,6,4,61,17,12,47,89,49,59,66,56,86,88,59,2,8,13,69,15,3,17,68,39,27,31,7,91,83,87,93,98,39,83,98,22,30,21,3,19,1,49,6,25,79,17,45,27,34,83,79,41,78,63,82,57,98,89,13,30,17,34,100,8,4,36,60,40,39,89,25,60,20,61,23,58,77,73,42,75,6,81,93,67,31,88,49,80,94,12,92,97,86,7,9,33,89,43,92,74,54,59,61,11,61,2,12,59,64,6,72,64,18,32,88,72,12,37,17,41,71,8,52,41,3,91,19,68,100,84,76,46,18,65,85,95,97,20,16,39,25,55,15,10,35,89,50,60,21,16,42,4,45,26,4,13,11,95,20,10,79,73,46,9,47,40,81,80,35,43,54,33,67,7,18,26,49,72,33,5,26,47,66,37,14,80,100,64,46,49,41,48,29,51,50,31,35,24,47,63,73,81,88,70,3,10,50,1,46,68,37,48,30,65,14,99,13,83,29,81,98,64,30,64,73,42,49,35,83,98,77,41,93,32,46,18,65,30,13,65,1,34,43,48,32,95,52,100,18,57,41,6,92,43,80,87,94,47,27,36,9,80,76,20,67,45,74,5,62,97,53,69,33,24,83,82,95,32,15,84,95,36,64,35,13,27,24,2,33,3,6,40,15,3,54,91,67,83,29,26,81,67,93,73,44,65,25,33,42,14,84,28,76,77,30,64,76,20,59,13,36,37,47,87,70,3,64,22,48,73,38,17,97,26,73,53,55,6,40,69,44,2,5,42,35,6,64,70,100,21,53,83,23,90,54,78,22,97,88,85,84,70,50,12,5,57,19,71,29,84,60,41,61,90,13,52,61,45,98,28,57,3,41,25,86,93,87,74,76,22,46,22,71,15,2,68,34,23,35,57,2,57,28,12,98,76,73,98,71,42,100,31,49,28,91,100,64,100,31,59,44,34,89,69,67,12,78,44,37,96,35,63,61,29,6,87,97,7,8,77,65,18,55,45,10,99,78,36,59,98,68,52,50,49,78,63,69,33,68,80,34,99,63,21,32,6,20,19,45,37,99,1,64,71,100,74,73,26,3,3,86,31,27,93,53,90,99,33,71,13,10,14,89,37,72,28,89,39,13,87,92,49,21,3,83,33,48,100,25,25,57,79,50,91,31,25,94,15,38,73,53,24,96,87,72,47,94,40,26,94,84,96,34,44,68,56,68,51,86,19,24,22,61,67,87,33,45,50,64,58,16,58,19,79,11,17,67,48,94,88,59,85,22,53,92,60,66,49,6,59,96,89,9,68,70,43,45,33,14,88,58,49,17,77,75,2,38,13,76,42,97,56,59,95,9,24,52,48,40,24,11,85,58,48,52,46,71,97,33,30,68,59,37,92,45,66,77,22,9,30,59,65,60,62,93,90,76,62,8,7,24,82,69,76,76,59,91,84,89,7,16,94,57,93,81,57,70,12,99,95,22,77,55,58,24,27,80,4,51,84,10,14,62,52,69,62,87,91,77,62,81,50,29,19,5,100,37,12,21,62,32,73,55,72,64,46,24,90,42,77,58,37,33,77,79,44,78,34,22,53,18,13,69,75,65,49,66,38,62,37,81,89,92,87,33,58,53,89,80,11,76,24,65,33,81,39,68,87,80,86,45,53,5,95,57,40,75,62,20,77,93,83,78,63,73,96,27,87,45,50,47,66,72,23,29,91,24,23,76,35,67,17,34,1,2,32,17,76,38,54,7,17,90,22,54,41,56,92,3,97,37,52,78,45,69,74,52,6,79,9,65,100,1,36,1,11,54,57,60,27,10,19,83,9,17,74,80,49,64,21,24,9,35,88,39,84,25,79,97,87,100,36,16,65,100,17,12,68,60,46,42,28,67,58,23,27,8,37,12,84,12,59,59,16,100,70,70,87,69,15,18,92,86,10,82,11,91,98,78,61,89,79,85,53,51,59,73,91,100,99,94,91,90,87,86,82,81,76,75,74,71,70,69,65,60,59,57,56,55,53,52,49,48,47,46,45,44,42,40,37,36,35,34,32,31,30,29,28,26,25,24,23,22,20,19,18,17,16,15,14,12,9,8,7,6,5,4,3,2]; D = [754,680,677,550,902,819,916,633,635,752,832,634,808,495,904,401,997,432,708,454,594,963,682,758,664,791,619,859,663,431,412,835,772,555,606,754,887,512,500,943,433,942,852,848,426,973,496,639,634,781,990,627,713,446,784,844,897,871,573,499,546,686,827,549,582,496,772,431,680,686,935,564,970,828,615,508,930,994,625,969,536,632,909,786,404,872,616,465,793,942,942,732,882,873,523,577,877,650,663,479,772,839,820,556,620,529,997,898,969,789,808,873,998,429,490,724,688,860,925,554,983,738,713,723,658,832,898,539,495,786,423,937,910,831,490,528,903,857,499,519,682,407,450,414,648,873,559,469,804,997,678,667,619,930,752,528,913,744,516,585,422,551,924,535,642,735,846,531,757,800,788,644,679,829,615,947,826,467,774,994,985,911,532,995,912,653,528,602,440,589,478,908,486,901,486,835,778,916,456,886,695,567,695,914,480,781,664,741,796,688,937,914,804,736,441,848,614,894,992,889,652,591,820,847,924,655,675,500,612,466,414,806,685,767,957,759,757,548,921,836,768,429,951,820,753,502,757,991,607,669,500,581,610,747,853,992,949,791,738,625,520,458,573,969,813,802,998,594,612,497,968,476,470,559,721,494,454,454,932,716,902,998,794,1000,973,615,644,432,731,836,721,914,587,743,866,656,947,817,867,888,813,712,837,418,659,817,702,467,459,829,909,587,963,756,833,955,605,854,706,601,519,883,969,903,726,747,676,855,630,948,615,965,740,457,938,772,902,827,900,948,986,914,757,493,857,895,813,502,764,544,570,908,941,571,447,960,911,465,969,411,505,978,758,740,508,629,864,522,990,889,769,963,572,946,530,699,929,858,484,886,458,810,736,564,802,641,980,709,462,878,594,839,713,819,955,865,460,669,802,932,522,691,943,615,729,445,803,475,554,604,572,830,934,886,972,689,451,548,873,404,531,454,769,630,493,902,851,720,695,958,502,686,614,492,978,822,600,776,494,871,652,430,555,555,961,653,875,602,854,977,681,731,820,741,988,706,598,553,480,869,918,733,558,652,484,719,522,482,471,821,580,798,636,449,533,507,795,817,993,850,441,412,468,759,422,671,747,921,738,659,407,986,703,506,766,753,635,499,786,921,999,930,852,758,715,915,809,798,740,452,448,481,794,579,688,479,589,554,904,976,550,896,866,957,771,684,585,530,636,977,471,703,871,433,874,724,677,845,524,601,524,925,944,409,831,963,735,661,870,948,512,462,935,582,743,719,751,782,972,880,564,948,530,740,532,512,608,770,769,785,429,426,930,434,611,844,802,570,873,613,820,996,962,572,479,986,432,418,731,690,524,663,408,589,956,523,886,791,892,961,731,453,756,850,492,444,863,831,691,602,860,577,583,728,848,827,631,483,440,851,750,574,589,522,956,963,695,694,867,458,789,689,690,707,470,578,512,950,860,882,807,419,606,479,822,569,570,933,587,702,811,420,935,404,802,707,476,862,888,514,491,508,691,498,677,719,868,950,796,537,621,676,749,876,953,990,629,712,735,742,436,861,793,459,547,716,790,421,738,613,606,693,612,809,840,848,445,831,513,771,696,944,407,445,994,989,445,580,966,477,901,630,750,960,868,645,940,843,418,645,836,474,999,606,872,447,571,846,622,986,675,806,574,808,814,629,743,569,502,482,551,532,721,581,576,929,507,920,616,876,596,465,952,444,625,786,675,632,948,859,729,512,989,427,672,608,841,687,882,941,697,984,707,668,580,785,415,974,896,553,644,566,417,452,851,866,758,776,743,587,467,640,776,725,523,573,808,494,549,941,806,575,680,409,525,792,688,489,732,692,903,867,524,816,816,985,734,852,996,469,440,866,741,559,810,970,443,837,811,958,674,910,581,944,402,498,669,849,451,402,833,753,797,828,971,560,648,430,774,933,800,736,925,518,986,683,501,563,475,637,968,669,954,928,661,794,766,802,812,532,793,437,644,699,822,965,678,422,900,588,413,587,829,528,482,856,945,649,695,999,537,623,755,983,707,691,990,888,752,731,424,442,929,870,857,884,815,897,795,563,706,647,465,449,862,934,476,756,945,688,706,734,404,651,965,461,1000,761,893,793,892,453,671,946,466,884,825,451,655,431,529,902,677,430,919,650,677,651,668,740,491,475,629,980,671,900,832,544,611,838,450,874,940,984,774,468,548,466,818,568,407,851,646,695,838,873,923,751,655,692,460,654,767,845,924,564,592,664,809,992,882,743,890,931,998,577,417,742,458,558,933,703,752,902,598,744,774,913,565,590,933,988,753,774,545,830,706,825,982,710,530,785,699,927,934,590,744,722,542,521,485,992,978,643,795,599,691,858,576,825,535,568,685,645,823,580,651,928,773,446,870,494,512,525,897,434,925,800,721,933,650,838,974,632,801,823,686,711,641,788,664,468,943,770,892,981,979,688,698,858,741,686,586,659,590,732,459,622,782,550,895,468,868,740,890,755,678,478,524,907,506,582,789,882,699,487,542,783,530,749,874,787,443,459,846,451,591,728,803,447,904,437,738,894,966,608,705,696,409,652,618,458,577,810,561,800,886,763,830,823,989,953,657,998,455,443,938,613,506,665,850,653,791,900,788,476,563,748,767,424,926,660,626,524,970,612,490,577,645,705,433,705,467,832,640,433,460,537,541,879,882,830,951,948,522,518,574,473,922,673,970,717,604,999,635,879,598,697,778,465,626,573,445,458,871,863,419,924,671,719,519,931,456,951,974,606,910,407,838,485,579,711,505,929,949,631,957,890,872,617,531,636,928,772,547,605,470,422,546,664,436,742,553,589,879,452,937,950,943,714,547,610,980,806,556,948,836,781,477,925,531,633,532,441,990,532,689,770,871,906,477,585,575,466,619,764,598,747,916,637,969,842,530,593,856,457,965,405,661,939,405,592,898,433,705,643,941,753,732,743,966,450,708,416,900,825,764,898,574,715,797,864,583,959,466,404,905,789,763,479,840,679,975,677,464,728,549,519,836,869,729,553,962,734,532,443,882,908,684,765,540,622,642,452,730,562,651,647,755,698,460,817,841,898,718,579,458,777,560,513,573,844,776,875,479,883,861,771,921,654,783,939,877,452,518,937,945,582,754,935,696,617,544,574,746,844,923,728,969,935,864,542,598,858,440,520,889,829,921,974,563,864,596,568,482,484,810,495,816,447,506,474,977,691,511,777,841,618,523,954,676,942,975,755,978,969,493,691,884,515,977,902,455,835,493,510,535,587,939,928,429,873,810,663,698,541,781,691,822,760,885,903,781,796,655,756,554,679,559,407,593,714,772,460,756,554,952,738,771,609,636,459,439,781,528,997,990,976,733,450,538,473,689,852,809,792,629,712,708,842,820,570,577,607,800,612,606,415,449,684,893,666,735,972,884,848,701,971,511,826,986,991,705,871,665,879,584,604,706,859,405,978,750,988,993,567,675,560,533,887,967,784,761,734,663,968,655,610,886,569,881,850,765,827,726,624,978,863,798,443,766,507,733,723,519,702,930,713,588,536,592,657,828,464,438,939,769,446,804,967,954,986,887,413,732,946,693,659,855,611,944,872,748,766,793,451,802,789,494,427,762,672,595,885,827,894,774,602,689,861,434,499,710,427,537,769,515,990,471,540,836,812,648,584,522,785,624,783,664,701,448,553,803,471,712,790,723,985,570,486,753,882,685,641,529,591,936,792,426,857,794,647,637,799,865,790,707,721,669,734,695,978,463,778,562,883,629,939,732,421,741,752,965,752,577,667,462,821,976,699,709,938,1000,627,464,991,530,593,772,761,480,403,976,968,458,950,818,552,622,453,970,992,852,743,656,840,980,694,996,848,750,561,735,656,931,552,983,935,667,818,725,559,664,482,960,884,782,420,865,776,965,429,881,583,913,492,601,562,618,669,968,723,960,784,438,698,623,462,590,503,683,961,694,657,435,494,722,492,978,848,518,927,996,487,809,812,521,443,942,712,560,587,858,636,897,824,866,405,634,9,8,9,9,7,10,10,9,6,5,3,8,9,8,10,2,10,5,9,6,9,2,4,6,3,2,7,7,8,6,7,9,2,9,3,3,8,7,8,7,9,5,2,4,8,7,7,2,2,10,1,6,6,10,5,6,7,4,1,7,3];