n=2;
m=1;
v=100;
e=1955;
C=[73, 22];
D=[82, 58];
K=[0.027, 0.679];
A=[81, 46, 42, 13, 49, 99, 26, 99, 27, 19, 17, 72, 39, 83, 82, 92, 62, 33, 44, 60, 10, 22, 55, 12, 24, 80, 3, 30, 25, 10, 53, 55, 16, 13, 62, 56, 27, 54, 2, 82, 58, 31, 1, 24, 11, 48, 75, 2, 46, 74, 97, 95, 61, 54, 83, 40, 11, 44, 29, 72, 39, 75, 13, 58, 25, 91, 31, 45, 70, 86, 83, 81, 59, 13, 69, 99, 85, 76, 27, 74, 94, 79, 1, 23, 93, 61, 98, 18, 87, 53, 28, 28, 19, 46, 30, 24, 94, 39, 17, 80, 26, 29, 88, 60, 84, 46, 9, 36, 72, 41, 71, 95, 96, 4, 98, 39, 27, 24, 33, 67, 33, 41, 41, 23, 19, 69, 89, 4, 73, 72, 19, 49, 78, 49, 64, 61, 62, 35, 1, 81, 90, 65, 40, 38, 56, 79, 89, 65, 92, 33, 95, 23, 11, 11, 6, 69, 96, 36, 69, 76, 49, 48, 8, 91, 78, 66, 88, 98, 9, 34, 76, 32, 7, 93, 16, 1, 89, 8, 100, 83, 94, 63, 47, 26, 79, 44, 87, 31, 37, 15, 67, 96, 3, 45, 90, 22, 43, 98, 19, 99, 8, 48, 45, 51, 5, 77, 71, 75, 83, 48, 25, 23, 64, 96, 63, 77, 76, 70, 9, 9, 66, 19, 76, 28, 51, 90, 46, 12, 8, 18, 67, 88, 85, 48, 92, 63, 67, 20, 80, 13, 22, 1, 100, 68, 72, 47, 49, 57, 39, 88, 27, 53, 99, 75, 60, 1, 1, 28, 37, 59, 57, 28, 3, 88, 26, 20, 46, 72, 13, 66, 75, 98, 40, 45, 63, 42, 42, 87, 4, 81, 98, 11, 48, 95, 85, 76, 81, 94, 76, 4, 40, 25, 16, 74, 78, 37, 45, 54, 52, 47, 78, 88, 84, 52, 81, 22, 11, 47, 11, 47, 39, 64, 74, 34, 11, 93, 32, 41, 11, 5, 4, 71, 60, 19, 30, 18, 72, 41, 47, 73, 28, 48, 84, 40, 13, 92, 24, 64, 36, 90, 2, 15, 16, 34, 40, 19, 62, 62, 61, 8, 42, 93, 81, 21, 82, 43, 50, 71, 58, 38, 44, 37, 58, 32, 34, 8, 90, 52, 49, 15, 55, 4, 79, 70, 45, 91, 40, 16, 58, 26, 80, 75, 32, 63, 34, 18, 87, 66, 33, 36, 13, 76, 4, 30, 52, 26, 26, 49, 90, 78, 88, 9, 10, 79, 35, 88, 31, 23, 72, 3, 39, 3, 63, 14, 95, 18, 29, 59, 80, 87, 85, 94, 30, 97, 85, 50, 92, 43, 56, 27, 65, 98, 5, 79, 85, 44, 83, 80, 84, 19, 91, 13, 67, 67, 80, 12, 22, 51, 92, 43, 72, 14, 60, 73, 23, 4, 83, 84, 34, 92, 70, 93, 92, 58, 4, 11, 25, 26, 37, 46, 44, 81, 82, 30, 5, 53, 24, 30, 85, 4, 65, 98, 61, 64, 89, 60, 5, 92, 18, 56, 46, 41, 11, 55, 71, 58, 84, 68, 21, 52, 72, 8, 46, 43, 51, 67, 88, 43, 53, 91, 21, 41, 76, 94, 81, 21, 36, 28, 13, 22, 98, 46, 21, 33, 26, 36, 46, 76, 100, 62, 43, 1, 55, 19, 54, 50, 5, 45, 56, 50, 75, 96, 91, 27, 86, 70, 62, 98, 13, 100, 79, 57, 15, 94, 90, 53, 32, 67, 1, 57, 50, 19, 79, 26, 27, 65, 33, 12, 62, 7, 13, 32, 3, 65, 35, 48, 83, 9, 58, 42, 63, 100, 79, 76, 63, 99, 44, 61, 51, 22, 63, 4, 9, 74, 2, 58, 42, 35, 95, 86, 62, 64, 74, 16, 49, 88, 84, 99, 69, 13, 72, 43, 83, 95, 62, 17, 78, 4, 18, 67, 73, 82, 70, 12, 63, 5, 24, 34, 97, 52, 77, 33, 26, 21, 29, 10, 35, 5, 95, 6, 79, 88, 52, 91, 91, 62, 81, 50, 12, 13, 13, 98, 22, 18, 81, 69, 16, 50, 83, 16, 28, 85, 51, 66, 6, 31, 94, 9, 43, 67, 22, 72, 40, 37, 7, 86, 1, 90, 94, 3, 51, 78, 96, 33, 68, 51, 47, 74, 92, 41, 25, 77, 20, 4, 7, 19, 94, 94, 73, 13, 49, 42, 92, 29, 71, 71, 28, 6, 77, 1, 93, 77, 32, 45, 68, 5, 64, 39, 36, 61, 95, 69, 50, 60, 84, 75, 98, 10, 75, 15, 89, 2, 77, 88, 5, 15, 5, 46, 11, 33, 21, 47, 18, 82, 89, 40, 51, 10, 35, 21, 93, 55, 35, 56, 65, 47, 40, 40, 23, 45, 72, 95, 2, 84, 6, 20, 56, 57, 66, 24, 74, 58, 36, 43, 76, 45, 31, 7, 92, 75, 37, 61, 39, 14, 85, 8, 81, 60, 38, 77, 15, 74, 36, 8, 96, 19, 69, 93, 37, 75, 13, 51, 2, 36, 71, 33, 11, 62, 71, 80, 62, 12, 19, 94, 65, 19, 47, 89, 86, 90, 10, 88, 13, 68, 38, 31, 3, 83, 27, 56, 83, 48, 95, 7, 4, 93, 12, 44, 56, 94, 83, 2, 23, 76, 40, 31, 79, 66, 16, 42, 56, 19, 53, 19, 98, 21, 42, 26, 55, 71, 93, 61, 82, 9, 55, 66, 83, 12, 44, 66, 80, 50, 100, 51, 100, 95, 26, 53, 57, 6, 98, 32, 43, 89, 83, 61, 40, 45, 19, 42, 87, 93, 52, 95, 93, 60, 45, 92, 58, 84, 86, 60, 45, 57, 20, 67, 17, 56, 35, 74, 16, 29, 76, 5, 91, 66, 4, 42, 41, 77, 35, 51, 14, 78, 98, 27, 54, 34, 52, 63, 56, 81, 19, 90, 28, 92, 34, 67, 23, 22, 4, 65, 13, 65, 27, 38, 61, 18, 14, 91, 2, 92, 28, 68, 31, 48, 13, 58, 86, 34, 74, 18, 7, 87, 31, 58, 44, 97, 16, 56, 72, 19, 13, 9, 100, 91, 81, 42, 29, 92, 78, 92, 69, 11, 23, 6, 44, 91, 23, 97, 97, 63, 47, 82, 3, 5, 17, 76, 32, 76, 12, 83, 39, 96, 68, 40, 30, 83, 84, 82, 36, 89, 66, 41, 22, 86, 90, 96, 50, 73, 88, 18, 91, 90, 70, 67, 89, 97, 20, 77, 42, 39, 69, 76, 82, 68, 98, 79, 68, 27, 90, 63, 27, 5, 24, 75, 58, 97, 36, 6, 60, 23, 15, 76, 90, 21, 22, 81, 39, 79, 35, 100, 89, 5, 86, 55, 99, 63, 29, 27, 64, 89, 30, 89, 34, 27, 65, 86, 52, 43, 68, 44, 46, 15, 50, 1, 33, 50, 67, 77, 65, 79, 58, 53, 5, 41, 82, 56, 55, 59, 23, 73, 96, 33, 99, 95, 15, 40, 31, 77, 57, 23, 79, 41, 1, 82, 29, 19, 61, 35, 2, 100, 14, 8, 99, 62, 24, 31, 69, 3, 43, 78, 48, 64, 9, 49, 67, 49, 92, 44, 48, 40, 45, 45, 73, 5, 19, 67, 28, 4, 17, 27, 100, 30, 17, 3, 95, 69, 25, 8, 49, 67, 11, 76, 43, 53, 53, 76, 18, 17, 53, 52, 99, 22, 61, 82, 10, 100, 60, 22, 10, 75, 68, 32, 3, 30, 11, 12, 67, 91, 4, 84, 48, 66, 7, 81, 15, 40, 72, 93, 21, 56, 1, 86, 9, 11, 79, 81, 78, 21, 35, 53, 50, 17, 54, 47, 43, 76, 42, 76, 38, 7, 61, 26, 56, 99, 31, 33, 70, 3, 43, 49, 96, 29, 82, 8, 70, 73, 75, 12, 54, 85, 12, 44, 69, 12, 80, 51, 16, 99, 95, 81, 48, 53, 7, 63, 59, 59, 93, 14, 62, 48, 20, 6, 2, 78, 40, 78, 86, 51, 13, 11, 31, 20, 48, 86, 46, 94, 92, 14, 77, 1, 56, 5, 50, 63, 15, 4, 96, 6, 94, 17, 60, 61, 43, 34, 92, 70, 20, 27, 93, 6, 1, 38, 74, 15, 4, 74, 5, 95, 2, 76, 86, 10, 35, 75, 45, 30, 86, 49, 32, 69, 17, 32, 72, 83, 62, 7, 90, 91, 17, 32, 10, 14, 100, 55, 76, 22, 7, 14, 90, 22, 17, 67, 39, 30, 73, 1, 8, 17, 44, 47, 74, 19, 92, 64, 58, 56, 95, 62, 61, 43, 54, 50, 73, 11, 75, 75, 82, 97, 48, 4, 84, 35, 4, 16, 14, 70, 49, 49, 9, 42, 24, 8, 18, 43, 36, 47, 82, 86, 27, 56, 35, 12, 65, 10, 48, 53, 85, 19, 75, 17, 81, 65, 70, 69, 21, 8, 49, 28, 71, 57, 79, 79, 5, 38, 32, 43, 43, 6, 47, 54, 16, 84, 94, 28, 69, 50, 54, 32, 98, 86, 79, 44, 87, 38, 9, 8, 67, 43, 83, 93, 36, 82, 7, 73, 38, 72, 90, 75, 42, 52, 70, 67, 35, 3, 53, 84, 24, 96, 16, 76, 87, 7, 30, 4, 22, 7, 52, 45, 57, 10, 83, 21, 38, 37, 48, 66, 58, 12, 33, 13, 77, 4, 71, 28, 26, 14, 99, 46, 31, 2, 72, 45, 40, 94, 45, 100, 66, 31, 82, 85, 5, 20, 73, 32, 56, 14, 15, 6, 58, 68, 56, 28, 82, 63, 32, 8, 41, 47, 83, 16, 45, 94, 45, 62, 94, 96, 85, 30, 18, 4, 69, 19, 9, 12, 79, 64, 3, 89, 82, 54, 56, 41, 32, 47, 67, 64, 37, 84, 73, 12, 27, 63, 80, 76, 45, 77, 69, 70, 56, 36, 46, 23, 4, 44, 82, 20, 54, 22, 7, 15, 36, 66, 33, 44, 64, 37, 9, 46, 70, 23, 66, 97, 52, 82, 68, 14, 22, 91, 4, 52, 3, 76, 15, 94, 35, 52, 70, 77, 58, 73, 34, 63, 44, 15, 69, 50, 89, 62, 77, 86, 62, 81, 90, 95, 19, 65, 100, 74, 12, 18, 54, 62, 80, 49, 82, 14, 60, 5, 42, 40, 1, 18, 67, 93, 77, 34, 57, 60, 45, 10, 36, 25, 23, 33, 49, 84, 30, 61, 48, 80, 1, 83, 5, 34, 79, 69, 46, 63, 89, 24, 32, 25, 57, 8, 5, 14, 78, 27, 73, 96, 17, 45, 91, 23, 86, 4, 55, 1, 64, 62, 98, 46, 56, 56, 63, 16, 18, 1, 39, 45, 73, 23, 1, 17, 3, 99, 30, 25, 86, 44, 7, 41, 5, 69, 36, 79, 48, 76, 95, 50, 92, 22, 58, 12, 31, 66, 39, 45, 73, 24, 56, 49, 22, 12, 2, 3, 68, 42, 52, 96, 83, 69, 26, 26, 52, 10, 33, 67, 64, 44, 97, 44, 89, 15, 75, 74, 60, 21, 82, 70, 21, 79, 80, 94, 50, 70, 1, 62, 24, 72, 7, 93, 76, 21, 70, 20, 51, 17, 25, 97, 66, 11, 14, 32, 13, 86, 94, 23, 2, 27, 54, 3, 90, 100, 26, 20, 42, 32, 95, 24, 83, 91, 71, 74, 8, 33, 31, 53, 30, 49, 19, 58, 31, 35, 6, 10, 45, 52, 25, 19, 15, 86, 19, 71, 27, 8, 33, 46, 72, 77, 82, 71, 40, 99, 4, 24, 39, 14, 75, 82, 63, 40, 89, 73, 69, 3, 36, 47, 57, 25, 57, 69, 43, 16, 20, 91, 65, 14, 69, 36, 52, 2, 100, 72, 57, 27, 82, 58, 86, 82, 81, 40, 45, 68, 91, 11, 59, 98, 82, 8, 44, 39, 21, 14, 3, 14, 79, 86, 85, 28, 35, 50, 68, 70, 55, 76, 86, 63, 92, 93, 54, 92, 57, 60, 29, 46, 3, 50, 59, 86, 64, 77, 98, 40, 92, 7, 100, 37, 84, 88, 19, 4, 68, 12, 26, 68, 85, 6, 75, 27, 30, 78, 10, 4, 70, 62, 11, 92, 47, 47, 93, 49, 6, 58, 100, 13, 67, 7, 57, 18, 75, 75, 12, 28, 98, 66, 48, 81, 41, 36, 84, 74, 44];
B=[46, 35, 66, 87, 16, 28, 66, 8, 97, 88, 1, 89, 91, 60, 1, 13, 99, 73, 53, 45, 79, 46, 7, 97, 95, 20, 7, 32, 82, 92, 47, 89, 85, 2, 47, 53, 3, 84, 94, 81, 76, 35, 90, 19, 14, 39, 1, 68, 64, 11, 89, 15, 84, 87, 68, 71, 11, 49, 52, 49, 6, 59, 55, 14, 35, 81, 86, 23, 34, 46, 79, 4, 58, 11, 58, 4, 78, 9, 28, 2, 18, 25, 64, 76, 16, 81, 4, 61, 72, 39, 3, 16, 13, 63, 11, 99, 45, 96, 27, 19, 70, 34, 54, 32, 67, 40, 100, 87, 8, 50, 98, 86, 68, 81, 81, 83, 24, 86, 46, 28, 75, 48, 57, 20, 21, 71, 16, 9, 16, 78, 42, 54, 71, 6, 99, 50, 66, 81, 2, 96, 63, 12, 38, 45, 63, 48, 44, 39, 40, 57, 50, 98, 67, 62, 41, 45, 16, 87, 39, 85, 81, 69, 34, 55, 28, 78, 31, 35, 30, 76, 74, 86, 75, 5, 27, 13, 76, 97, 15, 55, 74, 49, 79, 95, 36, 49, 74, 72, 75, 45, 25, 2, 50, 63, 95, 62, 78, 23, 84, 52, 71, 66, 99, 91, 39, 93, 24, 22, 88, 74, 32, 2, 47, 4, 11, 32, 94, 7, 2, 58, 84, 83, 34, 40, 76, 89, 52, 35, 20, 1, 3, 55, 25, 16, 31, 17, 79, 86, 27, 26, 36, 29, 44, 85, 9, 65, 27, 40, 74, 43, 75, 97, 27, 16, 75, 6, 43, 57, 1, 54, 27, 34, 25, 92, 92, 39, 70, 13, 57, 25, 48, 14, 58, 2, 47, 51, 3, 93, 30, 99, 14, 8, 25, 97, 6, 75, 39, 35, 27, 55, 49, 78, 65, 73, 29, 14, 21, 34, 16, 36, 29, 34, 83, 59, 85, 27, 29, 59, 87, 81, 24, 79, 54, 100, 25, 26, 96, 92, 4, 28, 73, 31, 3, 80, 18, 16, 89, 32, 51, 91, 35, 97, 51, 27, 48, 69, 62, 72, 34, 29, 6, 56, 17, 77, 16, 28, 37, 91, 38, 80, 50, 26, 13, 48, 69, 1, 74, 12, 23, 82, 16, 20, 8, 74, 2, 18, 48, 30, 91, 87, 32, 33, 29, 37, 61, 79, 80, 94, 54, 4, 67, 24, 50, 15, 93, 85, 83, 86, 38, 22, 88, 88, 7, 72, 73, 69, 92, 20, 96, 82, 38, 24, 17, 87, 92, 32, 19, 61, 35, 33, 22, 21, 6, 91, 99, 87, 59, 54, 25, 63, 90, 52, 99, 89, 18, 52, 56, 80, 64, 53, 9, 65, 49, 82, 60, 61, 66, 36, 28, 35, 2, 9, 50, 89, 65, 61, 16, 37, 13, 1, 2, 80, 34, 18, 81, 69, 47, 32, 83, 49, 2, 70, 6, 81, 50, 83, 78, 45, 28, 69, 19, 64, 50, 34, 52, 62, 52, 31, 29, 45, 63, 43, 2, 57, 49, 53, 47, 69, 46, 12, 93, 62, 79, 71, 34, 73, 35, 47, 12, 39, 83, 69, 16, 5, 57, 68, 41, 98, 63, 85, 31, 75, 30, 26, 80, 41, 66, 46, 27, 70, 57, 86, 62, 84, 34, 5, 3, 15, 73, 83, 93, 46, 82, 2, 26, 22, 50, 46, 70, 29, 46, 25, 94, 1, 86, 89, 41, 51, 19, 91, 54, 46, 70, 42, 70, 45, 33, 13, 88, 34, 1, 2, 14, 22, 92, 80, 52, 52, 22, 95, 50, 64, 77, 24, 18, 78, 82, 3, 65, 3, 40, 5, 12, 94, 47, 64, 7, 5, 53, 49, 30, 22, 13, 100, 46, 60, 77, 41, 14, 86, 69, 92, 94, 37, 84, 82, 32, 13, 1, 64, 99, 9, 27, 80, 48, 31, 59, 24, 33, 39, 73, 3, 29, 92, 75, 85, 54, 27, 11, 66, 50, 66, 54, 62, 91, 39, 43, 58, 9, 6, 87, 53, 58, 33, 60, 53, 44, 87, 33, 7, 63, 17, 19, 89, 66, 10, 53, 26, 1, 69, 35, 32, 10, 12, 12, 33, 15, 40, 73, 58, 62, 7, 83, 34, 5, 26, 30, 18, 48, 25, 87, 57, 54, 31, 85, 69, 23, 4, 74, 78, 48, 67, 11, 50, 25, 28, 59, 9, 56, 10, 67, 59, 61, 89, 14, 38, 79, 56, 91, 97, 50, 60, 58, 1, 83, 73, 20, 59, 65, 7, 15, 16, 91, 28, 56, 93, 32, 45, 1, 16, 33, 45, 2, 7, 75, 88, 99, 85, 21, 22, 76, 23, 12, 11, 45, 12, 44, 52, 74, 16, 64, 76, 78, 29, 4, 9, 12, 23, 57, 71, 20, 71, 35, 91, 67, 14, 66, 86, 38, 77, 22, 82, 22, 38, 72, 52, 100, 31, 75, 55, 41, 34, 76, 20, 46, 29, 3, 35, 99, 70, 25, 51, 77, 23, 56, 7, 69, 89, 39, 44, 23, 67, 81, 49, 4, 100, 46, 9, 59, 63, 39, 99, 94, 8, 91, 75, 4, 11, 79, 36, 24, 45, 21, 66, 38, 61, 78, 87, 82, 28, 8, 20, 26, 23, 24, 4, 20, 90, 72, 25, 61, 3, 38, 60, 37, 62, 21, 45, 72, 95, 44, 92, 35, 64, 43, 15, 55, 52, 7, 32, 62, 78, 74, 1, 29, 44, 64, 5, 40, 91, 93, 20, 8, 71, 30, 85, 57, 42, 80, 53, 78, 93, 2, 76, 61, 26, 49, 11, 40, 54, 19, 22, 49, 75, 55, 37, 41, 61, 52, 72, 91, 77, 9, 77, 46, 96, 56, 29, 27, 71, 33, 27, 24, 69, 64, 10, 5, 79, 92, 62, 37, 8, 88, 91, 59, 76, 83, 84, 60, 80, 9, 73, 39, 92, 47, 57, 80, 93, 32, 25, 11, 13, 79, 74, 41, 93, 92, 41, 75, 56, 85, 25, 38, 50, 77, 68, 31, 51, 31, 29, 58, 25, 22, 88, 70, 59, 74, 56, 5, 37, 80, 5, 10, 22, 60, 96, 61, 61, 35, 97, 32, 21, 58, 57, 96, 63, 47, 85, 42, 85, 56, 54, 65, 78, 32, 11, 86, 51, 93, 94, 2, 47, 61, 52, 36, 95, 69, 76, 14, 68, 47, 92, 73, 50, 62, 100, 90, 24, 30, 19, 10, 59, 60, 35, 66, 40, 6, 17, 12, 83, 3, 62, 86, 97, 54, 65, 26, 19, 46, 53, 64, 15, 16, 50, 91, 66, 86, 88, 41, 81, 47, 32, 53, 48, 80, 33, 55, 88, 90, 58, 57, 10, 49, 53, 74, 94, 19, 25, 27, 72, 15, 71, 96, 11, 1, 87, 81, 70, 2, 67, 57, 19, 47, 63, 10, 99, 44, 27, 14, 31, 2, 82, 82, 89, 41, 63, 35, 21, 41, 84, 57, 47, 30, 60, 46, 71, 73, 6, 41, 17, 61, 75, 58, 68, 12, 10, 43, 21, 34, 43, 50, 48, 16, 56, 6, 60, 48, 5, 71, 70, 13, 76, 4, 19, 65, 54, 51, 64, 45, 93, 59, 45, 73, 81, 24, 67, 99, 98, 93, 92, 37, 92, 70, 26, 27, 27, 15, 17, 94, 45, 76, 34, 26, 87, 15, 56, 81, 90, 34, 4, 35, 88, 33, 96, 83, 44, 48, 40, 20, 85, 32, 57, 21, 25, 64, 66, 30, 33, 75, 18, 29, 90, 82, 68, 48, 96, 74, 51, 35, 27, 25, 27, 67, 30, 76, 43, 36, 83, 4, 8, 82, 31, 19, 29, 49, 60, 92, 100, 89, 3, 25, 20, 74, 74, 34, 91, 89, 42, 14, 49, 2, 79, 64, 2, 62, 37, 30, 97, 97, 60, 49, 63, 47, 39, 66, 55, 12, 60, 93, 9, 58, 51, 95, 72, 62, 49, 100, 65, 59, 62, 99, 56, 2, 78, 44, 33, 49, 50, 24, 100, 28, 16, 84, 86, 72, 64, 51, 98, 15, 58, 74, 50, 3, 90, 63, 38, 71, 34, 61, 63, 30, 79, 24, 20, 14, 80, 58, 5, 69, 89, 96, 71, 29, 13, 75, 6, 64, 2, 10, 45, 86, 29, 23, 9, 12, 1, 87, 98, 14, 24, 56, 73, 98, 13, 16, 12, 30, 78, 56, 97, 43, 71, 13, 43, 67, 48, 25, 80, 7, 34, 71, 22, 44, 27, 51, 57, 53, 39, 58, 51, 97, 49, 79, 9, 43, 92, 83, 87, 37, 41, 99, 45, 60, 34, 3, 13, 93, 35, 31, 75, 2, 53, 80, 68, 82, 75, 72, 16, 57, 96, 88, 83, 43, 9, 70, 37, 63, 100, 75, 16, 60, 77, 50, 45, 23, 44, 66, 16, 24, 11, 9, 6, 33, 84, 74, 32, 5, 87, 49, 87, 28, 98, 37, 34, 88, 35, 37, 90, 23, 49, 3, 96, 48, 77, 4, 43, 32, 43, 35, 80, 46, 15, 6, 85, 30, 8, 35, 31, 5, 10, 69, 4, 36, 99, 37, 70, 46, 73, 91, 63, 97, 76, 86, 15, 51, 70, 24, 11, 72, 19, 83, 93, 29, 39, 98, 76, 22, 61, 58, 17, 53, 1, 86, 55, 13, 17, 73, 75, 62, 47, 98, 20, 56, 15, 71, 16, 66, 50, 4, 6, 85, 77, 52, 67, 68, 77, 63, 22, 25, 58, 17, 91, 75, 56, 45, 66, 42, 8, 26, 70, 74, 50, 77, 83, 32, 33, 6, 81, 26, 55, 30, 9, 74, 65, 51, 29, 32, 58, 25, 54, 100, 84, 87, 56, 1, 26, 91, 1, 54, 65, 91, 79, 21, 18, 89, 10, 21, 50, 9, 99, 76, 16, 16, 25, 98, 59, 60, 86, 64, 30, 70, 98, 22, 53, 11, 92, 44, 32, 52, 92, 30, 28, 3, 48, 18, 20, 60, 48, 98, 86, 30, 40, 64, 14, 71, 44, 97, 72, 32, 18, 5, 99, 9, 8, 74, 16, 52, 98, 1, 32, 44, 43, 78, 44, 26, 21, 30, 47, 44, 91, 37, 92, 57, 23, 53, 34, 58, 26, 55, 28, 65, 44, 87, 13, 91, 81, 56, 25, 28, 37, 40, 58, 59, 92, 21, 11, 79, 98, 21, 59, 39, 95, 46, 67, 65, 1, 73, 11, 81, 43, 33, 84, 35, 54, 95, 86, 27, 73, 21, 6, 43, 78, 53, 64, 89, 25, 94, 95, 88, 93, 97, 43, 92, 56, 81, 45, 97, 99, 25, 10, 86, 17, 72, 56, 30, 10, 30, 71, 69, 8, 65, 82, 58, 55, 58, 53, 23, 69, 94, 1, 49, 17, 83, 51, 61, 69, 8, 61, 62, 95, 50, 38, 43, 50, 54, 3, 46, 21, 93, 96, 32, 69, 48, 47, 13, 28, 82, 86, 15, 24, 5, 31, 28, 65, 5, 85, 94, 66, 15, 30, 22, 71, 78, 67, 27, 35, 11, 28, 2, 71, 39, 17, 13, 33, 32, 55, 65, 38, 89, 62, 32, 78, 86, 8, 47, 62, 19, 31, 25, 35, 90, 10, 78, 36, 86, 95, 15, 65, 25, 54, 36, 41, 35, 23, 53, 88, 5, 62, 40, 41, 72, 9, 14, 58, 2, 77, 71, 57, 38, 26, 35, 74, 56, 66, 13, 58, 98, 65, 51, 32, 77, 62, 5, 74, 32, 83, 8, 2, 22, 25, 94, 58, 62, 56, 88, 69, 18, 12, 72, 18, 86, 16, 71, 9, 98, 59, 89, 1, 15, 54, 21, 45, 76, 45, 15, 95, 70, 86, 40, 78, 64, 62, 40, 4, 100, 70, 8, 21, 49, 25, 62, 41, 39, 60, 51, 21, 68, 16, 1, 42, 83, 34, 72, 48, 59, 15, 54, 12, 24, 21, 100, 64, 73, 85, 65, 53, 41, 59, 24, 17, 50, 54, 51, 1, 70, 86, 77, 28, 1, 24, 25, 42, 1, 71, 28, 40, 85, 56, 5, 45, 14, 46, 27, 54, 42, 22, 38, 84, 27, 49, 30, 11, 52, 67, 20, 72, 42, 54, 63, 85, 95, 9, 61, 14, 39, 61, 44, 90, 76, 32, 54, 56, 3, 1, 32, 81, 29, 86, 55, 5, 97, 13, 40, 67, 6];
W=[71, 35, 2, 92, 57, 76, 70, 27, 77, 19, 59, 20, 12, 81, 70, 51, 74, 67, 89, 29, 80, 22, 77, 46, 7, 59, 96, 38, 24, 8, 67, 38, 57, 82, 16, 34, 51, 84, 76, 94, 34, 69, 61, 69, 16, 60, 49, 82, 90, 21, 54, 98, 38, 79, 35, 83, 34, 78, 56, 4, 42, 76, 98, 19, 34, 82, 25, 71, 24, 34, 86, 34, 66, 62, 30, 62, 85, 54, 93, 23, 87, 35, 79, 96, 72, 20, 40, 58, 3, 81, 94, 62, 61, 68, 30, 68, 72, 55, 29, 71, 46, 24, 69, 47, 27, 76, 13, 41, 80, 88, 86, 12, 27, 74, 88, 19, 92, 26, 79, 11, 16, 43, 39, 26, 54, 65, 28, 69, 94, 65, 91, 97, 74, 90, 20, 26, 51, 81, 43, 53, 19, 37, 52, 72, 78, 30, 27, 52, 97, 68, 96, 70, 63, 11, 58, 15, 13, 5, 64, 23, 94, 16, 56, 20, 35, 90, 15, 77, 93, 71, 34, 26, 50, 72, 4, 10, 83, 13, 43, 2, 18, 64, 4, 5, 12, 14, 62, 49, 69, 85, 11, 93, 66, 57, 69, 27, 49, 82, 57, 75, 24, 42, 82, 72, 97, 85, 61, 96, 72, 30, 85, 94, 1, 81, 19, 65, 67, 55, 45, 76, 61, 91, 31, 54, 5, 34, 41, 27, 1, 92, 80, 22, 67, 99, 68, 79, 30, 82, 43, 39, 24, 64, 8, 18, 81, 48, 3, 32, 87, 61, 54, 2, 83, 34, 38, 78, 46, 92, 70, 52, 46, 46, 67, 45, 45, 52, 4, 99, 39, 26, 27, 93, 84, 31, 28, 3, 46, 19, 44, 38, 25, 25, 13, 28, 83, 86, 56, 81, 34, 83, 84, 54, 33, 64, 38, 48, 80, 16, 33, 39, 9, 41, 25, 86, 94, 76, 42, 86, 85, 40, 67, 31, 53, 34, 96, 27, 18, 24, 10, 74, 4, 96, 47, 63, 22, 59, 84, 83, 40, 85, 97, 31, 29, 20, 91, 5, 92, 73, 37, 7, 17, 7, 51, 40, 92, 72, 33, 46, 79, 7, 51, 64, 81, 92, 89, 11, 43, 23, 20, 68, 1, 95, 30, 71, 59, 15, 22, 2, 61, 88, 20, 51, 42, 1, 34, 37, 92, 63, 2, 86, 74, 85, 65, 26, 30, 31, 51, 49, 93, 90, 17, 4, 86, 15, 80, 74, 70, 62, 49, 47, 73, 62, 43, 17, 29, 50, 27, 16, 19, 74, 42, 73, 16, 60, 90, 4, 3, 44, 94, 38, 14, 84, 34, 80, 63, 51, 35, 34, 35, 46, 97, 72, 74, 79, 36, 89, 58, 77, 78, 12, 77, 48, 21, 94, 22, 19, 78, 12, 56, 15, 65, 49, 84, 31, 15, 50, 89, 30, 53, 11, 73, 66, 85, 50, 52, 26, 42, 75, 11, 71, 36, 57, 90, 6, 83, 79, 15, 62, 58, 53, 49, 96, 30, 52, 87, 24, 67, 85, 24, 41, 97, 57, 78, 27, 56, 46, 47, 5, 4, 79, 8, 10, 50, 48, 72, 31, 71, 57, 36, 45, 31, 25, 47, 71, 44, 27, 2, 94, 73, 67, 16, 44, 97, 32, 60, 63, 90, 16, 36, 81, 50, 60, 87, 7, 75, 80, 88, 78, 65, 7, 81, 59, 68, 22, 10, 78, 10, 91, 4, 71, 17, 42, 84, 98, 38, 51, 85, 12, 3, 94, 57, 20, 38, 16, 31, 85, 52, 71, 57, 55, 94, 63, 63, 77, 15, 25, 43, 95, 90, 3, 63, 96, 29, 80, 44, 93, 33, 21, 70, 31, 87, 37, 25, 41, 19, 70, 92, 48, 94, 30, 96, 35, 24, 70, 15, 10, 49, 30, 63, 50, 2, 7, 90, 18, 30, 61, 46, 74, 86, 60, 19, 68, 96, 40, 66, 14, 97, 50, 8, 87, 62, 32, 2, 39, 27, 94, 84, 83, 26, 91, 9, 1, 30, 86, 11, 28, 5, 72, 29, 48, 19, 36, 27, 81, 85, 53, 81, 34, 42, 31, 85, 59, 13, 49, 32, 6, 29, 20, 9, 70, 78, 20, 57, 77, 99, 7, 15, 8, 11, 9, 97, 11, 99, 29, 24, 23, 13, 56, 75, 16, 37, 31, 89, 43, 68, 31, 34, 45, 4, 99, 51, 22, 70, 26, 43, 36, 36, 37, 36, 74, 67, 20, 94, 55, 15, 89, 6, 3, 79, 73, 14, 94, 8, 48, 60, 6, 83, 44, 35, 80, 76, 32, 7, 80, 20, 87, 91, 41, 11, 91, 28, 52, 64, 61, 8, 36, 71, 36, 60, 58, 56, 81, 25, 23, 49, 35, 75, 40, 55, 53, 49, 27, 37, 32, 65, 94, 9, 7, 27, 13, 41, 75, 43, 65, 28, 60, 58, 53, 92, 25, 47, 62, 62, 6, 77, 52, 63, 22, 54, 96, 24, 42, 70, 68, 87, 8, 84, 3, 28, 67, 76, 36, 6, 86, 45, 50, 98, 17, 19, 92, 56, 6, 17, 87, 67, 56, 52, 54, 49, 73, 14, 37, 69, 9, 36, 67, 92, 44, 66, 33, 27, 61, 43, 6, 87, 12, 94, 62, 6, 46, 64, 21, 31, 31, 90, 21, 36, 3, 21, 30, 49, 73, 45, 39, 79, 29, 27, 21, 72, 86, 33, 61, 16, 14, 95, 71, 75, 83, 9, 93, 50, 12, 41, 34, 88, 27, 44, 20, 87, 93, 25, 10, 90, 7, 71, 46, 96, 26, 83, 45, 13, 81, 85, 20, 1, 94, 97, 12, 63, 63, 91, 27, 67, 9, 99, 4, 18, 21, 76, 73, 7, 40, 21, 65, 56, 55, 53, 61, 80, 29, 78, 59, 21, 51, 33, 1, 62, 78, 74, 39, 71, 78, 76, 90, 66, 87, 68, 31, 30, 11, 66, 54, 79, 9, 34, 68, 78, 24, 69, 26, 50, 97, 60, 90, 57, 34, 48, 42, 90, 13, 92, 99, 89, 69, 17, 18, 85, 22, 1, 2, 57, 9, 82, 57, 61, 88, 59, 89, 38, 11, 66, 72, 44, 20, 23, 50, 94, 22, 67, 43, 28, 44, 3, 56, 62, 44, 43, 52, 52, 92, 83, 88, 33, 17, 13, 19, 66, 11, 88, 60, 56, 55, 28, 16, 89, 42, 51, 13, 53, 17, 67, 62, 73, 24, 78, 5, 91, 69, 9, 40, 89, 33, 3, 4, 41, 22, 77, 75, 61, 4, 19, 53, 47, 44, 48, 46, 55, 67, 38, 50, 1, 91, 72, 83, 28, 83, 7, 86, 19, 47, 65, 79, 28, 45, 93, 84, 17, 40, 61, 30, 20, 1, 57, 15, 39, 22, 71, 59, 23, 61, 81, 81, 49, 33, 69, 15, 45, 53, 29, 12, 95, 54, 12, 37, 65, 77, 87, 46, 70, 77, 26, 57, 6, 39, 18, 63, 64, 35, 78, 89, 84, 93, 53, 10, 60, 43, 96, 11, 50, 28, 95, 21, 23, 19, 27, 85, 98, 42, 38, 72, 84, 33, 71, 55, 3, 39, 1, 86, 68, 37, 49, 33, 40, 46, 20, 90, 45, 25, 64, 99, 75, 13, 74, 73, 95, 57, 64, 19, 60, 44, 90, 95, 98, 9, 22, 71, 45, 39, 70, 78, 99, 47, 85, 40, 12, 62, 18, 53, 75, 46, 39, 6, 79, 27, 99, 9, 63, 63, 26, 84, 74, 5, 82, 54, 50, 7, 80, 69, 25, 31, 83, 7, 7, 77, 29, 32, 3, 97, 32, 42, 92, 90, 3, 45, 16, 1, 97, 91, 1, 72, 58, 81, 2, 51, 18, 95, 93, 69, 35, 66, 53, 38, 3, 34, 67, 56, 67, 27, 18, 8, 7, 74, 55, 4, 24, 62, 58, 78, 62, 17, 75, 64, 85, 26, 38, 95, 44, 82, 20, 37, 72, 23, 17, 83, 15, 58, 38, 5, 29, 63, 10, 33, 96, 86, 77, 11, 56, 9, 94, 93, 88, 87, 4, 23, 35, 86, 2, 64, 11, 1, 66, 3, 46, 62, 98, 39, 2, 98, 85, 91, 1, 24, 83, 28, 31, 20, 31, 13, 65, 84, 7, 74, 77, 53, 76, 46, 26, 10, 9, 33, 62, 75, 76, 91, 2, 90, 63, 21, 4, 92, 39, 53, 29, 8, 74, 32, 39, 82, 75, 26, 68, 55, 39, 96, 65, 8, 99, 99, 64, 48, 76, 10, 87, 69, 19, 23, 40, 16, 79, 58, 99, 60, 85, 35, 67, 18, 6, 79, 8, 77, 17, 51, 32, 32, 80, 56, 17, 42, 58, 38, 71, 2, 72, 88, 43, 10, 11, 90, 47, 68, 38, 48, 59, 54, 67, 54, 47, 71, 68, 65, 80, 70, 29, 6, 8, 98, 67, 97, 35, 83, 23, 80, 22, 62, 29, 87, 21, 99, 27, 90, 88, 97, 63, 13, 32, 38, 3, 18, 49, 83, 24, 48, 84, 56, 32, 98, 73, 2, 45, 27, 81, 92, 59, 54, 66, 44, 57, 10, 70, 13, 1, 90, 45, 83, 36, 83, 34, 90, 64, 52, 39, 36, 63, 62, 76, 41, 59, 4, 98, 89, 57, 3, 38, 59, 98, 18, 88, 47, 8, 84, 54, 11, 20, 9, 8, 63, 72, 68, 48, 30, 27, 26, 6, 96, 41, 57, 63, 41, 65, 81, 29, 3, 80, 93, 14, 34, 43, 33, 82, 57, 61, 11, 35, 87, 99, 48, 60, 2, 92, 86, 57, 15, 69, 82, 13, 49, 7, 24, 93, 59, 9, 74, 34, 92, 54, 77, 16, 7, 89, 39, 19, 35, 2, 5, 52, 59, 54, 73, 33, 46, 86, 36, 50, 95, 46, 82, 64, 10, 27, 6, 92, 63, 68, 67, 65, 22, 4, 65, 48, 18, 1, 52, 96, 49, 42, 56, 74, 88, 93, 45, 76, 60, 63, 12, 42, 67, 11, 19, 86, 39, 14, 39, 11, 37, 10, 95, 71, 75, 73, 22, 79, 55, 53, 17, 44, 87, 19, 92, 22, 9, 6, 68, 80, 65, 33, 72, 45, 96, 24, 62, 92, 3, 91, 80, 77, 57, 36, 25, 81, 74, 93, 84, 46, 70, 54, 17, 64, 68, 4, 68, 85, 54, 5, 94, 15, 42, 43, 67, 26, 26, 72, 86, 68, 95, 51, 8, 50, 79, 25, 78, 25, 74, 42, 51, 81, 22, 28, 72, 84, 37, 81, 88, 87, 54, 77, 42, 91, 41, 19, 68, 71, 53, 11, 95, 38, 88, 50, 65, 56, 65, 8, 61, 38, 75, 43, 74, 83, 56, 17, 28, 47, 14, 20, 97, 35, 68, 90, 85, 41, 7, 89, 29, 52, 40, 66, 55, 52, 10, 97, 39, 75, 7, 38, 96, 62, 13, 30, 21, 74, 54, 5, 45, 31, 70, 45, 89, 7, 49, 9, 45, 35, 5, 16, 96, 69, 82, 85, 94, 83, 46, 92, 57, 69, 75, 20, 10, 53, 17, 76, 71, 46, 24, 2, 33, 53, 71, 2, 66, 51, 6, 95, 56, 61, 36, 80, 34, 48, 97, 28, 94, 52, 66, 3, 44, 91, 59, 20, 34, 77, 84, 74, 20, 21, 48, 11, 63, 32, 80, 86, 7, 65, 49, 45, 62, 97, 78, 2, 22, 27, 1, 78, 46, 72, 57, 10, 73, 64, 13, 68, 79, 59, 87, 6, 74, 63, 77, 89, 50, 62, 76, 2, 78, 78, 96, 84, 59, 79, 43, 31, 84, 92, 47, 4, 53, 28, 86, 2, 5, 38, 65, 85, 77, 85, 1, 79, 25, 19, 64, 46, 55, 85, 5, 9, 19, 35, 16, 86, 38, 18, 40, 19, 27, 25, 21, 5, 10, 46, 85, 29, 46, 63, 80, 19, 19, 71, 69, 36, 8, 54, 26, 38, 67, 51, 75, 63, 64, 27, 7, 41, 81, 86, 40, 59, 27, 44, 69, 28, 53, 58, 10, 22, 38, 40, 66, 98, 48, 70, 72, 12, 99, 25, 8, 78, 61, 79, 37, 45, 40, 63, 58, 43, 9, 57, 55, 1, 70, 68, 35, 70, 5, 85, 10, 78, 43, 23, 62, 60, 28, 59, 31, 41, 34, 75, 8, 53];