N = 100; K = 100; M = 1769; S = 1; T = 100; C = [45,8,12,21,25,67,84,82,91,56,25,9,98,62,16,28,28,71,29,18,81,41,68,47,5,85,72,3,46,6,75,74,19,20,49,55,40,67,47,82,5,15,70,62,62,39,55,47,87,7,25,31,5,54,52,22,43,79,4,53,68,48,91,30,96,62,47,66,56,54,60,42,29,55,96,88,90,50,38,79,92,51,62,54,92,69,20,53,23,17,10,21,24,14,10,5,45,65,96,100]; 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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[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,34,35,35,35,35,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,37,38,38,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,39,40,40,40,40,40,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,49,49,49,49,49,49,49,49,49,49,50,50,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,55,55,55,55,55,55,55,55,55,55,56,56,56,56,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,57,58,58,58,59,59,59,59,59,59,59,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,61,61,61,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,62,63,63,63,63,63,63,63,63,63,63,63,63,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,65,65,65,65,65,65,66,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,68,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,69,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,74,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,76,77,77,77,77,77,77,77,77,77,77,77,77,78,78,78,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,79,80,80,80,80,80,80,80,80,80,80,80,81,81,81,81,81,81,81,81,81,81,82,82,82,82,82,82,82,83,83,83,83,83,83,83,84,84,84,84,84,84,84,84,84,84,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,85,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,86,87,87,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,88,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,89,90,90,90,90,90,90,90,90,90,90,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,91,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,92,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,93,94,95,95,95,95,95,95,95,95,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,98,98,98,98,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,94,93,91,90,89,86,82,81,79,78,77,76,72,71,68,65,64,62,60,59,58,57,56,55,54,52,50,49,46,43,42,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,16,15,14,13,12,10,9,8,7,6,5,4,3,2,1,98]; V = [9,16,14,55,93,19,83,81,15,4,21,54,45,53,36,23,84,34,13,46,9,28,74,59,7,33,26,65,50,57,12,55,71,43,14,83,56,84,11,73,4,16,98,74,29,99,55,31,48,82,83,23,75,58,10,18,87,8,38,18,5,92,47,76,9,78,78,42,48,4,81,63,87,72,93,77,38,71,23,68,78,95,70,83,96,99,67,50,22,27,18,17,95,46,8,25,38,10,12,63,78,12,6,41,2,14,19,86,25,82,54,36,11,49,20,13,66,98,36,11,56,16,1,87,49,29,77,4,62,31,37,78,77,36,66,85,69,33,53,29,60,11,10,66,20,58,41,32,40,88,81,49,44,69,91,41,28,78,34,26,64,68,2,70,30,45,49,38,52,67,39,58,23,35,32,63,3,35,15,84,75,65,92,22,23,12,49,67,42,12,17,6,96,66,7,15,64,26,89,80,21,91,6,81,33,28,80,74,59,79,87,18,15,35,26,28,4,67,18,63,98,60,68,20,98,58,46,78,16,54,89,67,24,71,9,77,26,7,58,40,31,46,62,44,89,90,7,66,3,71,18,82,81,35,62,77,95,24,9,85,26,77,53,66,79,23,96,19,89,11,11,60,97,51,6,81,76,6,70,45,13,21,28,73,51,43,44,33,74,21,27,95,56,2,17,13,19,67,17,36,12,30,45,17,97,59,23,38,26,67,12,4,16,52,1,58,26,80,78,9,44,11,93,76,90,86,69,83,96,81,91,40,5,71,92,76,56,54,4,95,11,68,62,17,19,29,22,55,59,36,10,40,3,92,70,60,9,34,13,64,77,60,82,62,93,25,35,2,69,34,56,31,40,36,28,97,76,33,19,73,57,81,88,5,87,94,37,69,84,62,49,53,56,42,94,32,91,72,28,66,25,71,52,79,96,27,70,89,68,95,31,81,96,38,53,43,50,64,81,67,31,60,93,98,38,36,39,83,72,95,93,13,12,61,8,8,48,20,76,71,35,92,12,81,20,6,16,3,11,35,50,52,99,82,8,66,45,89,90,39,29,14,7,62,98,32,52,7,81,22,86,23,94,38,13,46,30,11,35,8,14,73,68,52,75,67,89,3,94,27,13,53,20,21,91,14,92,21,2,17,76,21,61,44,46,97,6,8,55,84,7,34,49,85,27,44,89,21,73,90,65,96,23,19,27,5,20,69,94,4,40,76,65,61,23,69,99,83,18,78,88,24,55,46,42,66,79,83,75,82,21,27,41,29,68,26,98,7,9,71,24,94,32,85,56,12,26,19,58,61,97,80,68,96,11,63,53,83,43,65,14,34,38,18,51,30,45,79,28,40,93,36,75,56,62,87,46,75,70,36,15,94,50,22,9,69,35,62,72,36,61,93,3,12,39,6,43,61,84,67,93,37,13,86,8,58,11,22,91,66,76,76,51,78,85,10,74,42,11,14,98,74,83,35,11,81,59,20,79,23,93,50,97,12,64,64,8,44,25,98,48,51,19,90,54,1,55,13,98,53,68,50,96,7,78,40,99,82,87,34,85,98,38,22,50,14,82,89,45,40,91,32,62,67,19,98,56,84,88,29,32,69,97,97,55,23,68,84,56,28,61,98,19,30,53,34,92,97,63,72,99,10,50,76,57,2,55,49,5,73,82,70,14,74,22,50,20,79,76,67,61,30,23,86,15,25,9,64,1,16,47,7,87,18,81,74,19,32,2,81,34,62,13,71,30,82,30,32,78,78,72,14,33,36,46,69,91,89,65,39,59,90,9,67,4,6,96,78,14,77,23,99,76,26,4,24,32,27,8,13,55,96,50,53,45,38,44,20,8,80,33,51,71,4,85,30,46,64,6,32,29,50,5,59,79,2,25,56,41,10,33,52,97,39,9,61,38,81,56,34,85,95,34,24,55,20,74,58,62,96,12,88,26,39,13,69,88,86,33,76,89,81,55,83,82,79,55,21,80,54,86,12,80,74,69,99,22,46,65,9,39,59,86,6,22,52,97,58,59,50,19,53,47,90,23,42,77,86,9,40,69,37,53,58,51,37,84,99,58,69,80,26,2,63,97,5,25,21,46,26,77,18,16,94,80,17,50,36,65,59,87,8,6,68,56,44,87,69,51,50,35,15,69,48,71,41,30,21,61,8,82,49,97,37,83,27,52,97,20,70,85,72,82,38,97,78,58,83,92,57,37,14,76,89,5,86,83,9,52,95,90,20,14,32,40,13,80,69,55,94,51,14,50,19,67,67,84,40,21,10,61,41,2,85,63,91,60,88,72,98,81,29,46,88,32,72,89,72,96,17,34,7,62,77,10,56,89,68,71,96,3,45,67,91,89,22,94,81,82,74,15,16,44,25,32,40,66,70,91,40,15,98,44,96,11,66,71,30,37,65,6,78,62,66,46,27,66,66,4,8,72,88,88,99,11,56,4,96,4,34,3,49,9,81,37,42,89,45,16,67,29,91,23,15,38,81,45,86,11,50,37,84,9,63,97,53,91,34,80,43,14,54,27,41,29,74,10,4,77,6,4,57,79,43,46,97,27,25,99,41,67,22,89,1,92,2,32,76,63,79,69,38,44,55,13,88,6,54,84,35,4,93,98,3,27,42,77,14,78,30,86,16,24,20,18,13,88,91,54,48,8,77,66,90,95,75,32,7,15,99,93,33,55,99,3,79,39,71,57,11,10,47,11,22,16,97,21,59,23,83,34,23,83,17,37,56,76,57,12,15,3,48,18,94,41,43,52,82,41,6,19,50,74,30,73,5,9,20,31,86,20,43,13,3,90,73,26,11,11,69,89,42,83,67,78,65,1,73,78,10,88,51,33,82,15,17,90,7,27,39,55,68,1,1,62,18,53,44,23,26,67,75,61,63,10,77,29,70,36,40,33,9,81,27,11,64,3,87,17,91,73,98,12,43,53,31,38,3,65,19,22,48,67,45,6,86,31,75,59,96,45,41,56,7,74,66,82,84,72,9,71,84,3,56,45,64,81,58,50,94,68,60,60,57,46,25,41,80,87,81,20,27,20,19,10,58,49,21,77,64,37,7,26,45,90,26,27,96,48,77,84,42,84,81,19,45,53,1,53,98,96,72,30,56,2,14,75,33,58,25,83,57,38,76,65,65,65,61,84,8,88,42,92,16,8,99,58,4,63,27,44,60,54,2,15,59,89,40,91,78,11,29,75,96,43,41,45,45,95,50,81,26,39,47,37,30,76,15,50,50,27,22,88,68,82,93,78,15,91,87,11,3,95,24,65,5,68,11,35,46,47,10,85,46,31,59,14,66,98,95,13,72,2,76,59,53,47,59,91,31,61,74,58,66,55,97,39,84,80,82,29,48,91,65,42,9,76,33,87,61,8,99,61,28,72,3,12,91,20,31,16,84,15,82,67,2,42,14,88,1,43,85,47,3,56,32,70,78,48,62,3,94,28,69,56,48,98,1,36,11,84,69,61,39,50,56,11,13,44,41,2,54,63,18,26,56,82,73,37,75,29,98,21,3,87,41,6,94,11,68,56,82,91,7,64,43,29,18,33,50,41,51,28,58,77,8,31,55,88,61,58,36,20,98,12,79,11,63,79,44,56,48,69,42,81,21,4,16,51,85,85,75,37,28,18,74,32,85,19,21,97,65,80,90,99,24,55,71,28,4,73,13,42,31,72,9,56,34,4,73,49,59,44,44,77,30,73,28,78,77,5,81,90,55,13,39,59,92,46,31,74,95,42,33,89,7,37,13,55,83,57,31,69,22,55,72,43,5,32,59,84,86,18,56,42,47,74,66,4,7,3,67,37,14,19,50,44,61,7,83,57,88,40,21,18,68,8,23,34,37,69,38,98,94,93,91,90,89,86,82,81,79,78,77,76,72,71,68,65,64,62,60,59,58,57,56,55,54,52,50,49,46,43,42,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,16,15,14,13,12,10,9,8,7,6,5,4,3,2,100]; D = 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