n=2000; m=300; v=100; e=4264; C=[75, 90, 30, 46, 84, 80, 66, 17, 13, 67, 68, 80, 3, 95, 41, 6, 62, 99, 74, 61, 82, 24, 66, 19, 97, 73, 96, 64, 27, 28, 49, 64, 58, 60, 34, 35, 85, 62, 74, 4, 91, 37, 15, 80, 88, 50, 85, 88, 95, 32, 28, 56, 57, 71, 6, 36, 57, 2, 60, 39, 77, 15, 21, 15, 20, 66, 15, 30, 52, 89, 49, 2, 43, 47, 85, 30, 45, 91, 19, 79, 96, 22, 26, 44, 86, 15, 34, 38, 46, 98, 9, 14, 39, 12, 3, 53, 41, 54, 72, 49, 38, 24, 68, 81, 91, 64, 81, 79, 5, 34, 27, 36, 4, 37, 80, 12, 22, 24, 14, 31, 97, 74, 50, 19, 96, 19, 50, 84, 58, 51, 2, 9, 61, 72, 18, 59, 13, 76, 72, 3, 6, 27, 72, 55, 82, 66, 7, 73, 23, 100, 61, 40, 32, 57, 81, 80, 74, 100, 3, 32, 61, 38, 36, 21, 23, 36, 76, 97, 48, 23, 25, 41, 91, 31, 81, 45, 22, 62, 33, 23, 19, 94, 28, 30, 85, 2, 20, 77, 54, 26, 73, 16, 95, 59, 19, 93, 93, 4, 81, 78, 15, 44, 34, 18, 3, 80, 82, 78, 76, 11, 78, 97, 73, 44, 79, 95, 29, 63, 62, 77, 5, 92, 51, 49, 90, 50, 60, 7, 8, 41, 1, 92, 71, 88, 5, 66, 15, 79, 29, 62, 93, 1, 44, 60, 77, 35, 95, 28, 49, 98, 25, 67, 69, 23, 50, 92, 65, 57, 92, 7, 99, 43, 6, 73, 68, 69, 98, 2, 8, 96, 36, 69, 32, 57, 88, 70, 45, 90, 31, 81, 98, 13, 72, 96, 87, 38, 31, 41, 79, 87, 6, 29, 5, 82, 40, 40, 39, 66, 77, 15, 79, 1, 74, 94, 20, 66, 17, 38, 56, 50, 80, 74, 86, 69, 83, 61, 85, 55, 35, 36, 2, 2, 89, 49, 3, 82, 19, 95, 73, 35, 49, 99, 31, 58, 50, 22, 11, 14, 60, 96, 14, 32, 10, 49, 71, 89, 17, 98, 13, 52, 66, 75, 8, 77, 78, 18, 27, 52, 29, 75, 100, 68, 64, 30, 92, 17, 69, 1, 67, 88, 97, 15, 19, 3, 20, 32, 90, 66, 87, 55, 77, 56, 63, 16, 47, 49, 56, 34, 39, 87, 89, 76, 25, 94, 90, 34, 82, 84, 2, 35, 91, 49, 83, 53, 23, 20, 47, 21, 16, 63, 48, 59, 43, 48, 30, 17, 73, 60, 60, 39, 53, 35, 13, 95, 64, 20, 32, 7, 55, 14, 45, 40, 93, 18, 42, 40, 46, 77, 57, 56, 52, 61, 1, 50, 89, 61, 32, 19, 67, 84, 2, 96, 46, 46, 9, 12, 36, 44, 61, 91, 72, 35, 46, 38, 50, 11, 80, 44, 24, 49, 3, 24, 100, 77, 56, 50, 32, 19, 10, 86, 57, 64, 66, 27, 53, 67, 91, 78, 70, 6, 29, 73, 81, 6, 49, 43, 44, 77, 3, 52, 11, 4, 25, 24, 44, 51, 4, 5, 41, 45, 34, 57, 69, 10, 31, 91, 26, 42, 88, 41, 59, 52, 38, 45, 58, 51, 67, 66, 76, 20, 43, 43, 47, 8, 96, 27, 47, 72, 34, 75, 52, 35, 37, 63, 67, 63, 31, 50, 59, 70, 99, 1, 67, 78, 83, 51, 9, 28, 17, 86, 77, 41, 61, 92, 59, 59, 57, 83, 49, 34, 5, 18, 33, 1, 43, 70, 14, 31, 42, 36, 53, 25, 3, 56, 61, 78, 73, 41, 39, 85, 47, 38, 23, 19, 47, 83, 19, 23, 95, 10, 3, 35, 79, 11, 26, 77, 11, 68, 24, 61, 37, 11, 85, 5, 1, 30, 11, 2, 74, 26, 12, 34, 54, 41, 33, 93, 89, 56, 62, 77, 59, 38, 57, 22, 12, 50, 4, 65, 38, 91, 27, 39, 77, 5, 57, 92, 62, 11, 58, 37, 65, 55, 89, 43, 50, 44, 12, 89, 94, 63, 81, 92, 61, 33, 38, 17, 58, 4, 80, 91, 65, 71, 37, 79, 4, 99, 25, 90, 79, 94, 89, 95, 52, 49, 57, 16, 27, 80, 45, 51, 28, 82, 70, 72, 41, 86, 87, 55, 32, 19, 49, 68, 16, 98, 61, 60, 26, 70, 14, 34, 56, 37, 19, 54, 77, 77, 67, 13, 92, 64, 20, 13, 51, 95, 52, 23, 70, 13, 1, 18, 85, 4, 39, 74, 84, 49, 84, 93, 68, 29, 68, 25, 63, 2, 17, 91, 80, 18, 56, 91, 98, 8, 21, 16, 62, 93, 39, 89, 50, 7, 52, 64, 31, 48, 69, 41, 65, 37, 5, 79, 34, 23, 11, 80, 49, 62, 35, 51, 40, 65, 68, 66, 5, 90, 20, 23, 84, 54, 100, 30, 92, 55, 8, 87, 91, 65, 77, 14, 35, 2, 100, 17, 7, 9, 27, 33, 26, 85, 29, 81, 50, 90, 35, 42, 4, 12, 96, 74, 98, 79, 94, 26, 13, 75, 79, 57, 1, 52, 93, 24, 33, 80, 53, 12, 56, 23, 20, 11, 73, 67, 63, 65, 18, 13, 85, 44, 19, 7, 39, 5, 60, 8, 8, 42, 20, 41, 18, 10, 40, 48, 3, 51, 68, 98, 56, 6, 64, 77, 22, 51, 34, 99, 77, 91, 3, 93, 98, 15, 7, 3, 8, 29, 45, 93, 52, 97, 94, 26, 49, 16, 77, 71, 85, 36, 79, 82, 73, 9, 96, 31, 53, 87, 87, 35, 16, 87, 23, 91, 29, 50, 89, 31, 55, 60, 86, 11, 69, 71, 72, 78, 83, 58, 37, 1, 28, 2, 66, 86, 15, 25, 91, 75, 82, 40, 62, 84, 8, 31, 23, 44, 54, 20, 87, 4, 84, 96, 31, 61, 89, 37, 95, 68, 72, 11, 91, 27, 81, 22, 93, 22, 36, 48, 9, 9, 49, 44, 89, 84, 4, 18, 68, 53, 50, 49, 70, 33, 96, 97, 76, 58, 74, 89, 77, 87, 98, 44, 35, 41, 30, 14, 78, 45, 100, 54, 76, 74, 90, 66, 68, 89, 17, 67, 92, 42, 34, 58, 30, 93, 50, 46, 38, 69, 84, 27, 58, 76, 1, 10, 72, 68, 15, 70, 88, 4, 67, 4, 26, 90, 4, 62, 34, 99, 35, 25, 70, 68, 73, 43, 11, 9, 74, 50, 35, 67, 96, 94, 38, 62, 56, 17, 48, 99, 27, 26, 14, 34, 64, 51, 68, 75, 7, 99, 14, 3, 50, 31, 14, 26, 16, 11, 85, 23, 98, 76, 32, 23, 97, 52, 5, 89, 100, 37, 15, 30, 7, 62, 42, 91, 83, 78, 18, 59, 65, 91, 94, 4, 49, 22, 80, 44, 94, 52, 80, 73, 43, 89, 97, 81, 29, 31, 8, 26, 72, 6, 63, 25, 42, 69, 43, 84, 85, 32, 33, 70, 24, 60, 17, 62, 84, 62, 32, 59, 20, 60, 17, 7, 72, 81, 43, 57, 77, 80, 13, 92, 9, 47, 25, 57, 73, 52, 81, 76, 94, 48, 43, 38, 12, 43, 79, 58, 12, 11, 7, 6, 90, 12, 2, 31, 39, 72, 84, 100, 47, 91, 85, 23, 46, 21, 77, 61, 83, 59, 12, 79, 65, 31, 54, 1, 74, 19, 72, 23, 17, 21, 79, 93, 83, 28, 37, 3, 100, 9, 14, 97, 91, 63, 9, 16, 52, 45, 31, 13, 45, 50, 80, 62, 87, 41, 8, 94, 74, 82, 76, 9, 14, 7, 69, 61, 24, 76, 12, 3, 12, 70, 63, 4, 45, 82, 59, 44, 1, 60, 29, 41, 28, 29, 58, 8, 36, 52, 63, 66, 18, 22, 36, 14, 40, 48, 96, 75, 20, 17, 79, 46, 14, 94, 62, 59, 89, 52, 53, 11, 39, 73, 37, 93, 29, 86, 68, 82, 9, 3, 74, 22, 65, 96, 26, 8, 3, 23, 37, 76, 46, 87, 72, 18, 56, 55, 92, 82, 44, 42, 2, 67, 83, 13, 69, 12, 49, 86, 63, 14, 6, 28, 78, 10, 22, 35, 100, 70, 12, 46, 32, 35, 83, 82, 72, 36, 65, 6, 47, 46, 25, 68, 22, 34, 55, 33, 95, 66, 58, 95, 97, 80, 69, 14, 95, 40, 81, 94, 25, 100, 34, 13, 55, 73, 20, 88, 5, 28, 81, 62, 67, 86, 25, 22, 65, 38, 75, 77, 78, 55, 42, 14, 27, 96, 42, 62, 85, 36, 10, 26, 38, 46, 95, 1, 14, 41, 77, 14, 21, 45, 47, 60, 51, 12, 11, 11, 86, 65, 85, 41, 13, 77, 34, 62, 49, 76, 47, 60, 69, 61, 47, 67, 73, 40, 90, 76, 7, 70, 15, 71, 81, 66, 97, 90, 81, 32, 80, 52, 97, 29, 53, 97, 58, 21, 81, 69, 15, 46, 20, 68, 82, 6, 38, 45, 2, 95, 35, 22, 16, 29, 38, 86, 33, 63, 88, 69, 86, 10, 31, 23, 83, 54, 52, 36, 48, 74, 58, 86, 18, 91, 71, 63, 82, 35, 2, 54, 64, 12, 78, 44, 89, 51, 39, 72, 57, 66, 35, 31, 11, 67, 66, 100, 70, 52, 41, 71, 46, 63, 23, 87, 23, 22, 2, 9, 100, 90, 14, 44, 66, 74, 59, 43, 58, 41, 40, 9, 44, 76, 53, 51, 31, 45, 56, 13, 86, 24, 44, 42, 12, 64, 98, 2, 10, 16, 65, 74, 83, 79, 92, 31, 81, 77, 38, 61, 70, 47, 38, 73, 6, 53, 15, 17, 68, 6, 81, 40, 50, 28, 21, 90, 85, 29, 90, 53, 56, 45, 85, 96, 32, 53, 82, 20, 48, 12, 43, 8, 58, 93, 21, 93, 86, 16, 65, 54, 49, 54, 43, 56, 16, 53, 59, 58, 32, 9, 51, 48, 55, 28, 90, 47, 37, 18, 44, 46, 76, 6, 93, 76, 11, 7, 53, 91, 51, 88, 24, 45, 25, 11, 60, 61, 69, 52, 45, 61, 60, 60, 53, 20, 85, 78, 28, 54, 80, 20, 38, 93, 98, 99, 25, 56, 54, 59, 87, 67, 88, 23, 59, 48, 15, 40, 30, 82, 71, 94, 81, 89, 21, 55, 8, 63, 90, 51, 73, 54, 78, 35, 77, 53, 78, 32, 67, 20, 28, 51, 91, 59, 62, 68, 69, 6, 65, 23, 63, 68, 5, 29, 89, 74, 15, 79, 69, 25, 94, 26, 6, 90, 99, 39, 35, 78, 96, 55, 58, 42, 60, 37, 17, 13, 59, 65, 76, 96, 97, 11, 67, 60, 89, 50, 96, 46, 32, 82, 32, 52, 34, 36, 15, 89, 8, 39, 57, 57, 67, 24, 87, 94, 53, 97, 34, 39, 62, 25, 78, 99, 69, 70, 30, 73, 98, 4, 18, 2, 90, 49, 62, 2, 69, 73, 77, 22, 28, 75, 48, 5, 40, 53, 12, 11, 27, 69, 42, 19, 80, 100, 42, 9, 55, 66, 78, 94, 13, 22, 72, 77, 65, 40, 62, 74, 77, 96, 69, 86, 72, 21, 72, 78, 100, 74, 77, 95, 1, 20, 8, 6, 11, 97, 79, 46, 54, 82, 22, 71, 75, 53, 46, 97, 35, 4, 62, 38, 80, 95, 25, 67, 85, 94, 26, 53, 97, 22, 28, 33, 89, 13, 74, 85, 48, 53, 21, 22, 100, 4, 90, 56, 12, 45, 91, 50, 49, 4, 17, 60, 85, 85, 95, 44, 12, 55, 5, 77, 30, 79, 62, 96, 92, 33, 5, 18, 3, 59, 89, 26, 42, 48, 88, 50, 32, 78, 49, 18, 5, 5, 73, 74, 37, 42, 51, 38, 53, 42, 87, 39, 13, 47, 80, 89, 10, 80, 95, 74, 61, 40, 76, 20, 100, 45, 92, 97, 64, 49, 36, 2, 99, 85, 44, 18, 43, 68, 51, 73, 14, 55, 22, 90, 56, 51, 58, 61, 22, 10, 26, 4, 17, 42, 86, 22, 75, 59, 70, 45, 80, 40, 49, 60, 100, 20, 48, 1, 55, 89, 25, 58, 21, 52, 64, 45, 47, 86, 42, 80, 57, 47, 29, 72, 66, 10, 11, 34, 10, 85, 13, 9, 59, 86, 42, 3, 35, 45, 69, 1, 8, 35, 95, 19, 99, 26, 40, 88, 85, 94, 95, 67, 15, 75, 13, 75, 17, 100]; D=[61, 36, 49, 47, 68, 58, 39, 64, 87, 33, 78, 87, 2, 28, 20, 95, 3, 59, 99, 9, 8, 56, 68, 91, 99, 67, 45, 52, 20, 78, 84, 52, 8, 38, 20, 60, 72, 84, 71, 38, 59, 72, 16, 47, 76, 74, 18, 84, 66, 74, 30, 57, 66, 34, 63, 20, 31, 70, 2, 30, 59, 92, 67, 31, 25, 44, 33, 51, 97, 17, 73, 40, 60, 20, 75, 42, 89, 34, 36, 32, 80, 93, 8, 32, 89, 80, 74, 85, 67, 91, 24, 12, 25, 39, 17, 29, 89, 6, 97, 63, 36, 33, 28, 66, 98, 87, 18, 64, 95, 78, 1, 82, 100, 52, 27, 20, 62, 64, 79, 94, 80, 37, 46, 85, 44, 35, 39, 26, 100, 48, 95, 57, 65, 100, 72, 9, 44, 52, 17, 26, 56, 36, 26, 83, 7, 63, 21, 86, 81, 84, 41, 57, 5, 30, 5, 14, 14, 88, 88, 65, 54, 98, 11, 41, 32, 10, 62, 24, 63, 67, 76, 52, 45, 2, 79, 88, 84, 87, 3, 59, 85, 72, 97, 36, 99, 71, 79, 36, 96, 17, 63, 3, 49, 35, 59, 91, 92, 94, 67, 20, 34, 41, 63, 80, 8, 83, 66, 65, 52, 63, 38, 37, 22, 94, 82, 46, 36, 51, 13, 42, 68, 31, 39, 94, 31, 2, 45, 39, 71, 42, 72, 10, 50, 91, 83, 7, 49, 36, 76, 11, 57, 61, 17, 58, 29, 79, 75, 30, 89, 33, 86, 35, 63, 72, 22, 1, 12, 18, 12, 56, 33, 30, 44, 23, 38, 68, 14, 87, 43, 77, 54, 84, 54, 20, 69, 25, 85, 39, 65, 88, 53, 39, 45, 97, 78, 62, 49, 32, 64, 83, 23, 27, 69, 15, 74, 61, 4, 15, 58, 60, 62, 11, 33, 70, 67, 85, 56, 27, 4, 47, 65, 84, 3, 1, 29, 59, 46, 83, 41, 18, 56, 41, 25, 37, 57, 68, 82, 13, 84, 9, 11, 73, 66, 52, 67, 91, 8, 43, 71, 15, 74, 30, 76, 50, 31, 58, 30, 50, 92, 81, 88, 40, 76, 57, 50, 70, 31, 5, 21, 18, 94, 50, 26, 71, 78, 54, 83, 19, 69, 2, 53, 38, 14, 58, 5, 65, 76, 6, 56, 97, 65, 50, 85, 61, 16, 17, 54, 9, 87, 50, 14, 97, 93, 31, 38, 66, 16, 79, 74, 75, 14, 98, 2, 43, 1, 6, 24, 58, 87, 29, 76, 65, 84, 21, 61, 58, 83, 2, 42, 35, 87, 63, 54, 29, 76, 80, 6, 77, 83, 86, 60, 58, 88, 62, 72, 38, 90, 54, 34, 31, 12, 13, 16, 65, 63, 5, 56, 84, 25, 69, 22, 11, 64, 50, 96, 62, 82, 30, 25, 14, 24, 57, 39, 54, 5, 60, 81, 68, 41, 6, 88, 61, 17, 69, 76, 25, 44, 94, 66, 67, 9, 36, 63, 64, 75, 66, 57, 55, 51, 91, 38, 42, 58, 74, 58, 63, 37, 61, 32, 99, 4, 54, 75, 84, 76, 14, 73, 23, 65, 83, 3, 100, 95, 21, 82, 53, 27, 85, 89, 9, 56, 44, 3, 18, 55, 82, 90, 69, 44, 95, 48, 73, 66, 18, 45, 25, 86, 85, 58, 26, 79, 43, 17, 85, 25, 43, 30, 37, 34, 20, 84, 17, 1, 54, 74, 67, 37, 76, 16, 68, 48, 7, 37, 62, 77, 35, 55, 14, 31, 91, 78, 8, 92, 46, 45, 3, 76, 59, 86, 30, 74, 89, 75, 3, 24, 60, 44, 74, 97, 26, 67, 91, 53, 66, 84, 99, 20, 95, 77, 14, 22, 36, 50, 28, 59, 94, 84, 1, 71, 75, 76, 46, 55, 33, 12, 35, 28, 44, 64, 94, 39, 20, 1, 19, 7, 33, 27, 64, 20, 82, 73, 31, 71, 52, 82, 54, 62, 7, 27, 42, 62, 35, 60, 20, 6, 33, 54, 36, 54, 31, 96, 59, 77, 48, 36, 23, 6, 35, 89, 84, 25, 8, 11, 42, 69, 68, 19, 65, 97, 21, 29, 87, 22, 80, 47, 85, 28, 62, 43, 33, 83, 69, 88, 42, 70, 62, 62, 12, 63, 1, 36, 69, 16, 41, 89, 52, 52, 33, 33, 79, 97, 48, 28, 13, 60, 79, 95, 11, 89, 8, 52, 59, 72, 13, 96, 61, 36, 2, 81, 86, 50, 36, 61, 13, 88, 15, 33, 9, 67, 73, 82, 64, 17, 79, 54, 97, 39, 96, 65, 4, 47, 88, 69, 76, 22, 79, 99, 6, 93, 51, 63, 61, 95, 18, 12, 70, 13, 39, 61, 41, 81, 6, 82, 92, 85, 99, 98, 42, 29, 76, 19, 2, 70, 94, 91, 10, 91, 74, 42, 39, 48, 99, 4, 54, 22, 22, 48, 28, 87, 73, 41, 29, 27, 85, 21, 22, 54, 82, 40, 37, 44, 60, 79, 45, 49, 91, 20, 26, 80, 62, 84, 45, 11, 11, 34, 93, 35, 14, 82, 70, 70, 89, 10, 37, 46, 52, 68, 43, 83, 14, 65, 53, 72, 6, 84, 33, 45, 85, 62, 15, 73, 99, 73, 18, 48, 24, 23, 89, 46, 17, 13, 84, 14, 32, 76, 72, 59, 9, 82, 46, 83, 17, 92, 75, 19, 67, 59, 68, 6, 93, 93, 11, 30, 61, 46, 46, 20, 16, 74, 2, 15, 11, 25, 56, 34, 16, 13, 99, 33, 42, 75, 53, 65, 61, 77, 6, 32, 52, 83, 17, 12, 68, 88, 66, 55, 77, 40, 15, 83, 24, 20, 71, 89, 9, 98, 89, 31, 43, 61, 72, 53, 59, 51, 74, 98, 39, 18, 8, 37, 68, 53, 25, 98, 74, 53, 98, 7, 97, 36, 30, 65, 25, 10, 5, 2, 26, 30, 10, 69, 42, 44, 28, 65, 51, 61, 94, 49, 52, 87, 9, 4, 7, 58, 7, 88, 35, 62, 21, 53, 35, 46, 64, 63, 31, 16, 92, 19, 81, 78, 97, 22, 32, 29, 63, 34, 96, 53, 29, 50, 53, 97, 28, 32, 61, 71, 57, 10, 11, 66, 47, 56, 10, 10, 98, 36, 25, 79, 89, 28, 13, 6, 21, 54, 20, 34, 99, 46, 91, 59, 51, 84, 11, 51, 25, 44, 91, 32, 93, 7, 9, 96, 22, 55, 59, 15, 98, 21, 96, 99, 28, 89, 8, 58, 10, 86, 11, 37, 30, 88, 80, 86, 24, 87, 61, 51, 37, 33, 73, 21, 21, 71, 66, 46, 24, 55, 33, 59, 90, 52, 24, 72, 46, 95, 66, 22, 84, 53, 8, 78, 26, 53, 54, 88, 36, 79, 36, 19, 70, 30, 34, 97, 75, 87, 54, 70, 47, 98, 33, 48, 56, 40, 60, 22, 21, 45, 4, 61, 19, 47, 84, 27, 98, 68, 90, 95, 99, 37, 35, 12, 74, 31, 15, 2, 73, 85, 40, 49, 86, 31, 75, 7, 6, 90, 52, 68, 75, 7, 22, 57, 84, 13, 38, 46, 93, 29, 11, 84, 49, 88, 55, 78, 39, 8, 40, 82, 97, 24, 29, 63, 76, 2, 58, 64, 35, 21, 81, 24, 98, 50, 35, 96, 33, 13, 7, 61, 5, 72, 90, 43, 10, 49, 27, 97, 95, 34, 79, 2, 50, 5, 52, 47, 99, 32, 62, 31, 98, 41, 27, 96, 60, 49, 40, 11, 51, 66, 59, 90, 65, 66, 82, 71, 3, 51, 48, 40, 12, 16, 91, 98, 24, 26, 10, 39, 38, 7, 16, 95, 77, 78, 1, 57, 67, 80, 84, 49, 42, 73, 89, 82, 94, 28, 44, 90, 74, 97, 21, 48, 15, 2, 95, 62, 83, 34, 95, 88, 24, 47, 34, 25, 56, 64, 9, 57, 59, 93, 41, 14, 23, 2, 37, 45, 5, 13, 10, 75, 71, 47, 63, 9, 2, 34, 38, 12, 29, 56, 25, 53, 58, 11, 40, 33, 4, 15, 98, 87, 96, 75, 91, 90, 96, 64, 98, 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