n=2000; m=2; v=100; e=1730; C=[65, 5, 92, 90, 3, 34, 74, 10, 40, 76, 33, 59, 36, 82, 42, 30, 75, 79, 27, 32, 10, 4, 88, 23, 44, 49, 62, 50, 46, 73, 50, 18, 43, 27, 28, 58, 100, 51, 89, 43, 74, 56, 38, 98, 40, 36, 38, 90, 70, 12, 2, 80, 62, 1, 95, 39, 51, 60, 13, 8, 96, 72, 34, 28, 62, 6, 69, 1, 41, 24, 11, 66, 87, 83, 50, 48, 98, 78, 76, 12, 4, 30, 61, 18, 71, 100, 16, 29, 6, 83, 61, 49, 78, 71, 43, 46, 94, 41, 43, 34, 52, 60, 43, 40, 22, 88, 62, 7, 98, 53, 57, 76, 22, 67, 20, 37, 63, 62, 36, 9, 56, 68, 15, 68, 66, 72, 77, 71, 70, 70, 35, 59, 90, 84, 13, 65, 72, 88, 20, 27, 35, 92, 60, 82, 12, 41, 94, 3, 69, 43, 70, 10, 84, 48, 79, 36, 2, 47, 12, 83, 33, 67, 86, 76, 67, 61, 33, 84, 11, 78, 88, 32, 17, 17, 11, 79, 50, 44, 68, 92, 70, 41, 42, 76, 33, 87, 88, 88, 52, 97, 2, 63, 99, 6, 24, 51, 74, 70, 44, 85, 73, 52, 93, 6, 40, 33, 7, 35, 24, 64, 81, 4, 38, 54, 41, 32, 57, 37, 99, 25, 10, 96, 49, 66, 62, 49, 98, 57, 68, 98, 20, 98, 32, 56, 83, 28, 28, 50, 43, 35, 33, 45, 21, 77, 76, 64, 30, 22, 86, 46, 51, 10, 29, 93, 48, 37, 60, 22, 6, 97, 97, 47, 75, 10, 73, 68, 26, 82, 64, 57, 55, 79, 54, 51, 69, 82, 46, 18, 5, 69, 97, 82, 40, 44, 93, 13, 72, 63, 42, 36, 39, 40, 5, 52, 93, 83, 32, 83, 79, 17, 98, 79, 80, 14, 11, 10, 19, 85, 74, 40, 34, 78, 78, 37, 46, 22, 46, 19, 55, 53, 4, 58, 34, 17, 64, 57, 24, 66, 49, 57, 81, 77, 36, 51, 25, 5, 4, 3, 90, 87, 13, 30, 54, 40, 60, 96, 6, 73, 59, 14, 12, 95, 86, 86, 21, 65, 41, 14, 58, 22, 47, 34, 61, 41, 83, 12, 66, 63, 77, 68, 51, 19, 75, 92, 72, 24, 89, 33, 7, 93, 1, 44, 16, 92, 4, 35, 11, 79, 65, 82, 87, 95, 60, 85, 97, 54, 34, 80, 52, 85, 53, 35, 60, 14, 72, 74, 32, 18, 51, 46, 54, 41, 69, 96, 85, 64, 21, 81, 5, 92, 25, 64, 5, 15, 62, 36, 59, 92, 51, 10, 66, 46, 2, 58, 92, 35, 39, 96, 47, 89, 15, 89, 9, 10, 49, 26, 70, 13, 10, 56, 21, 68, 38, 97, 10, 23, 46, 6, 35, 30, 88, 98, 92, 43, 2, 47, 76, 11, 9, 50, 100, 89, 25, 44, 54, 91, 93, 69, 59, 88, 91, 16, 1, 34, 87, 30, 37, 14, 43, 36, 95, 76, 26, 48, 54, 48, 78, 72, 62, 5, 43, 72, 76, 52, 36, 45, 53, 77, 83, 67, 9, 60, 60, 9, 69, 19, 43, 51, 91, 26, 67, 24, 69, 3, 9, 4, 13, 52, 98, 23, 20, 18, 41, 87, 90, 97, 73, 18, 43, 4, 81, 9, 46, 43, 56, 68, 66, 27, 23, 16, 52, 91, 22, 88, 5, 24, 49, 15, 32, 24, 90, 81, 13, 57, 17, 67, 72, 84, 81, 59, 34, 93, 5, 11, 73, 32, 28, 37, 4, 59, 13, 99, 58, 81, 94, 64, 82, 17, 29, 15, 86, 60, 68, 3, 54, 15, 62, 31, 12, 29, 46, 95, 26, 44, 100, 55, 68, 9, 89, 59, 39, 49, 63, 75, 13, 90, 86, 11, 66, 55, 57, 2, 31, 72, 75, 31, 81, 60, 48, 40, 12, 44, 39, 3, 45, 83, 15, 18, 45, 87, 5, 2, 35, 27, 39, 15, 49, 65, 70, 34, 62, 74, 88, 19, 30, 24, 66, 8, 46, 48, 32, 86, 6, 17, 65, 75, 100, 64, 12, 48, 13, 48, 80, 83, 66, 11, 89, 60, 97, 30, 55, 12, 46, 6, 31, 79, 9, 56, 90, 91, 44, 95, 89, 24, 20, 40, 67, 50, 11, 93, 13, 20, 12, 85, 84, 34, 47, 47, 83, 85, 47, 85, 16, 14, 45, 40, 48, 89, 18, 81, 41, 88, 81, 10, 83, 43, 42, 17, 89, 20, 73, 4, 58, 78, 74, 98, 95, 70, 9, 2, 79, 59, 53, 34, 69, 52, 97, 18, 89, 94, 39, 49, 46, 86, 75, 19, 31, 98, 58, 56, 83, 91, 64, 56, 1, 63, 95, 28, 25, 88, 38, 68, 30, 65, 64, 72, 69, 7, 39, 60, 38, 34, 61, 4, 70, 83, 25, 2, 41, 82, 77, 84, 83, 71, 65, 6, 64, 30, 69, 67, 16, 62, 90, 23, 12, 40, 34, 58, 29, 91, 46, 15, 66, 86, 28, 3, 40, 41, 33, 72, 60, 12, 87, 20, 78, 62, 10, 38, 40, 29, 36, 80, 9, 42, 7, 30, 90, 27, 71, 58, 76, 76, 80, 83, 24, 6, 56, 79, 56, 93, 44, 61, 39, 3, 32, 23, 25, 30, 14, 41, 52, 3, 93, 16, 1, 20, 43, 37, 56, 21, 42, 68, 46, 6, 48, 76, 21, 20, 87, 3, 42, 2, 39, 47, 56, 8, 50, 8, 91, 74, 61, 88, 45, 77, 100, 74, 12, 83, 84, 3, 69, 7, 31, 73, 47, 24, 57, 60, 56, 7, 8, 26, 43, 58, 61, 6, 66, 66, 1, 69, 46, 71, 81, 17, 3, 31, 63, 53, 83, 65, 57, 37, 49, 8, 46, 33, 74, 51, 6, 59, 75, 97, 82, 55, 80, 52, 42, 85, 33, 62, 46, 42, 3, 29, 82, 3, 57, 53, 29, 16, 96, 99, 19, 12, 59, 67, 59, 9, 40, 24, 37, 47, 26, 33, 63, 76, 37, 70, 93, 28, 42, 27, 33, 26, 43, 72, 80, 3, 1, 91, 90, 1, 96, 30, 22, 19, 8, 73, 55, 35, 14, 50, 25, 9, 41, 10, 86, 11, 30, 64, 55, 80, 100, 63, 90, 37, 44, 89, 50, 24, 28, 93, 14, 40, 59, 37, 90, 42, 17, 49, 7, 65, 84, 70, 100, 65, 90, 3, 16, 19, 28, 100, 38, 12, 67, 5, 31, 67, 33, 66, 72, 4, 62, 31, 72, 3, 23, 26, 43, 9, 88, 6, 89, 31, 46, 20, 82, 65, 23, 25, 48, 26, 39, 42, 22, 27, 15, 9, 85, 86, 39, 82, 27, 76, 89, 76, 55, 92, 10, 94, 19, 22, 96, 82, 78, 11, 26, 5, 94, 17, 82, 2, 30, 10, 9, 60, 59, 95, 87, 8, 69, 70, 53, 16, 95, 19, 71, 34, 19, 50, 70, 33, 83, 84, 78, 9, 63, 100, 12, 75, 60, 44, 26, 23, 41, 17, 79, 65, 41, 24, 82, 42, 36, 14, 57, 48, 93, 57, 51, 76, 71, 99, 61, 67, 83, 90, 76, 11, 82, 37, 24, 51, 52, 59, 88, 32, 72, 94, 2, 14, 78, 65, 92, 71, 73, 5, 4, 33, 20, 92, 23, 87, 81, 29, 38, 15, 28, 78, 89, 47, 94, 58, 36, 24, 73, 21, 50, 79, 12, 71, 87, 98, 86, 100, 10, 24, 85, 53, 5, 100, 50, 54, 49, 23, 37, 35, 40, 28, 44, 78, 86, 21, 43, 52, 42, 98, 62, 38, 88, 33, 33, 98, 30, 74, 70, 78, 81, 16, 61, 61, 22, 83, 37, 40, 5, 28, 52, 59, 53, 27, 22, 17, 61, 64, 100, 84, 90, 32, 48, 56, 60, 56, 1, 54, 11, 61, 64, 31, 27, 69, 46, 36, 19, 74, 43, 54, 76, 29, 47, 59, 94, 9, 77, 37, 67, 21, 81, 30, 21, 62, 51, 7, 83, 29, 93, 53, 16, 99, 40, 82, 68, 17, 1, 64, 62, 3, 46, 3, 37, 40, 40, 35, 61, 37, 11, 36, 73, 74, 89, 97, 2, 52, 23, 100, 87, 47, 97, 44, 4, 10, 15, 23, 12, 70, 44, 41, 98, 15, 57, 65, 90, 89, 22, 27, 72, 94, 93, 61, 53, 43, 60, 39, 9, 20, 16, 8, 36, 72, 22, 10, 24, 22, 97, 66, 18, 34, 24, 60, 93, 58, 54, 95, 96, 4, 100, 74, 78, 23, 6, 89, 12, 52, 64, 85, 57, 80, 99, 6, 53, 99, 11, 84, 99, 24, 83, 21, 4, 86, 35, 61, 17, 41, 1, 49, 11, 85, 18, 1, 13, 90, 90, 96, 17, 34, 75, 41, 47, 89, 95, 69, 67, 22, 3, 39, 39, 55, 99, 37, 23, 58, 54, 89, 29, 34, 84, 45, 72, 50, 36, 94, 20, 48, 27, 41, 14, 58, 49, 76, 15, 92, 53, 7, 21, 73, 88, 79, 3, 28, 21, 74, 57, 25, 36, 33, 96, 76, 35, 6, 95, 87, 60, 81, 15, 39, 65, 5, 63, 22, 93, 34, 46, 41, 50, 25, 51, 71, 81, 34, 76, 75, 57, 20, 83, 11, 32, 22, 22, 36, 57, 24, 75, 48, 88, 48, 89, 36, 66, 26, 53, 6, 24, 26, 2, 85, 83, 8, 51, 15, 80, 18, 51, 27, 76, 32, 74, 63, 59, 7, 77, 15, 51, 50, 57, 15, 76, 14, 74, 34, 50, 43, 42, 16, 13, 78, 46, 78, 11, 23, 39, 49, 44, 76, 66, 24, 63, 12, 58, 100, 71, 50, 73, 41, 25, 31, 91, 88, 50, 11, 27, 13, 96, 20, 6, 18, 53, 64, 86, 12, 78, 52, 1, 47, 87, 35, 53, 69, 16, 61, 4, 36, 94, 29, 99, 87, 84, 78, 62, 98, 43, 12, 29, 71, 50, 14, 71, 3, 2, 58, 93, 64, 66, 60, 74, 52, 50, 92, 49, 70, 66, 23, 84, 24, 76, 43, 39, 46, 54, 53, 52, 9, 6, 75, 45, 58, 34, 95, 41, 16, 100, 34, 91, 59, 12, 44, 84, 95, 75, 8, 50, 41, 93, 63, 85, 72, 59, 35, 77, 31, 67, 89, 73, 33, 95, 5, 79, 73, 66, 37, 23, 8, 29, 79, 92, 88, 85, 77, 1, 87, 10, 7, 21, 99, 84, 26, 14, 59, 97, 35, 7, 30, 38, 91, 25, 54, 9, 100, 2, 8, 8, 54, 75, 60, 3, 71, 23, 30, 73, 44, 20, 36, 18, 98, 68, 40, 12, 8, 79, 30, 30, 59, 51, 43, 56, 70, 72, 31, 8, 71, 28, 24, 24, 26, 62, 23, 40, 85, 66, 72, 31, 23, 44, 51, 4, 85, 35, 2, 17, 75, 8, 92, 79, 17, 94, 17, 73, 38, 73, 49, 2, 8, 33, 88, 76, 63, 93, 14, 49, 85, 11, 93, 53, 77, 62, 56, 39, 94, 25, 33, 51, 2, 30, 5, 68, 27, 52, 30, 17, 42, 73, 38, 78, 70, 7, 55, 13, 3, 68, 19, 49, 26, 12, 93, 30, 72, 58, 71, 70, 94, 73, 49, 19, 32, 52, 55, 81, 86, 26, 16, 55, 10, 39, 76, 52, 76, 27, 15, 33, 70, 28, 26, 48, 41, 2, 38, 32, 29, 85, 98, 26, 18, 10, 50, 51, 80, 84, 38, 35, 96, 60, 77, 50, 87, 7, 15, 61, 47, 96, 1, 60, 21, 30, 67, 81, 22, 16, 45, 84, 36, 74, 65, 65, 63, 1, 88, 34, 35, 62, 6, 54, 61, 67, 48, 89, 75, 84, 48, 94, 68, 92, 14, 25, 47, 47, 25, 65, 33, 46, 92, 25, 86, 76, 35, 77, 13, 52, 34, 76, 35, 11, 52, 60, 69, 40, 26, 70, 12, 65, 70, 42, 65, 28, 58, 49, 38, 89, 69, 74, 24, 43, 100, 47, 89, 86, 97, 28, 80, 86, 58, 45, 23, 58, 20, 83, 100, 50, 46, 43, 51, 18, 18, 79, 32, 71, 68, 16, 24, 70, 47, 93, 1, 72, 13, 65, 66, 72, 47, 13, 69, 90, 64, 50, 81, 44, 89, 86, 94, 15, 1, 71, 48, 26, 48, 92, 26, 23, 100, 10, 67, 38, 65, 13, 17, 93, 25, 89, 91, 55, 55, 36, 32]; D=[84, 60, 31, 91, 97, 8, 1, 56, 79, 22, 4, 33, 26, 16, 47, 7, 29, 45, 69, 51, 44, 12, 74, 13, 54, 58, 77, 25, 57, 23, 14, 53, 88, 4, 21, 29, 37, 43, 58, 80, 91, 81, 27, 33, 97, 60, 40, 49, 60, 19, 45, 97, 10, 18, 61, 34, 4, 13, 33, 36, 70, 50, 35, 52, 12, 54, 36, 42, 31, 88, 41, 61, 16, 27, 65, 60, 69, 27, 51, 86, 27, 6, 91, 62, 68, 71, 69, 69, 81, 63, 26, 48, 85, 96, 76, 39, 74, 18, 53, 78, 69, 69, 25, 75, 9, 48, 11, 58, 86, 80, 53, 41, 2, 39, 35, 63, 80, 78, 8, 2, 97, 36, 91, 2, 59, 84, 76, 81, 26, 73, 60, 64, 17, 35, 97, 51, 85, 9, 94, 72, 16, 90, 53, 93, 53, 61, 30, 88, 91, 97, 44, 11, 27, 91, 33, 95, 26, 26, 99, 44, 27, 56, 37, 58, 49, 93, 46, 15, 27, 1, 45, 93, 72, 54, 12, 25, 25, 28, 27, 29, 73, 16, 20, 66, 52, 10, 87, 98, 31, 25, 9, 72, 4, 24, 75, 84, 60, 71, 97, 21, 20, 56, 52, 44, 9, 99, 59, 47, 30, 23, 89, 46, 15, 2, 70, 38, 87, 71, 61, 19, 38, 98, 58, 98, 86, 88, 76, 75, 31, 77, 60, 75, 76, 98, 79, 85, 95, 30, 36, 47, 43, 91, 18, 8, 53, 37, 21, 4, 49, 47, 39, 71, 58, 74, 22, 5, 64, 94, 75, 61, 21, 26, 41, 36, 10, 82, 62, 81, 51, 31, 85, 67, 8, 40, 89, 46, 38, 75, 53, 70, 82, 74, 45, 100, 16, 22, 37, 61, 67, 76, 88, 49, 7, 51, 66, 84, 35, 90, 13, 31, 45, 98, 68, 73, 35, 38, 54, 32, 71, 85, 6, 59, 33, 80, 43, 93, 88, 97, 59, 27, 83, 3, 35, 76, 81, 24, 53, 20, 63, 32, 16, 36, 92, 3, 7, 81, 62, 48, 37, 75, 35, 15, 44, 11, 79, 24, 74, 35, 33, 26, 72, 10, 3, 67, 8, 20, 50, 65, 12, 95, 37, 13, 63, 70, 25, 29, 77, 61, 29, 28, 34, 86, 63, 57, 56, 23, 31, 24, 12, 52, 55, 48, 80, 74, 83, 56, 79, 24, 38, 37, 9, 14, 33, 32, 55, 75, 59, 74, 46, 35, 41, 96, 85, 77, 3, 78, 84, 78, 30, 26, 46, 71, 47, 48, 48, 68, 45, 22, 88, 5, 83, 18, 67, 3, 60, 19, 30, 30, 23, 12, 73, 15, 37, 33, 70, 33, 82, 27, 97, 76, 51, 7, 5, 57, 45, 58, 62, 95, 74, 40, 51, 81, 74, 58, 34, 40, 26, 60, 69, 84, 32, 60, 8, 59, 86, 83, 41, 9, 48, 64, 24, 74, 35, 71, 19, 40, 36, 18, 67, 11, 57, 19, 60, 74, 14, 58, 14, 57, 2, 9, 93, 56, 79, 17, 58, 21, 56, 13, 27, 25, 30, 93, 79, 79, 22, 13, 34, 26, 57, 80, 100, 24, 12, 91, 11, 44, 21, 94, 3, 4, 97, 76, 32, 98, 76, 57, 51, 100, 82, 25, 94, 95, 6, 65, 59, 18, 22, 60, 55, 93, 67, 15, 7, 93, 72, 4, 82, 41, 56, 78, 51, 8, 59, 1, 19, 77, 18, 96, 63, 77, 19, 38, 86, 13, 64, 93, 45, 49, 58, 81, 14, 24, 25, 73, 93, 74, 99, 38, 84, 14, 82, 77, 62, 68, 21, 57, 59, 62, 82, 4, 3, 41, 63, 90, 92, 11, 7, 56, 52, 54, 29, 43, 9, 8, 70, 52, 35, 2, 43, 55, 80, 86, 71, 33, 47, 25, 15, 59, 28, 59, 64, 36, 9, 92, 89, 74, 16, 27, 97, 84, 44, 69, 66, 91, 94, 37, 4, 87, 93, 86, 13, 64, 63, 45, 77, 32, 41, 39, 67, 10, 29, 58, 68, 100, 36, 79, 84, 70, 52, 62, 4, 79, 2, 6, 95, 92, 50, 99, 72, 86, 78, 46, 75, 20, 89, 71, 54, 25, 65, 44, 99, 71, 63, 41, 11, 68, 86, 62, 60, 44, 53, 12, 42, 48, 50, 56, 95, 30, 99, 73, 26, 25, 18, 50, 55, 67, 77, 39, 4, 36, 54, 22, 49, 53, 30, 56, 47, 21, 7, 44, 85, 54, 74, 33, 29, 32, 99, 25, 2, 10, 57, 5, 91, 17, 55, 5, 31, 37, 15, 22, 65, 58, 25, 67, 87, 20, 29, 77, 37, 38, 4, 43, 55, 71, 1, 77, 24, 74, 5, 27, 49, 58, 71, 65, 97, 45, 15, 69, 45, 83, 68, 84, 90, 60, 57, 63, 57, 80, 9, 54, 1, 45, 89, 2, 25, 91, 43, 99, 42, 42, 41, 98, 48, 2, 93, 24, 51, 62, 53, 20, 68, 15, 61, 63, 77, 80, 6, 52, 41, 87, 42, 33, 51, 75, 2, 75, 59, 69, 63, 14, 62, 4, 60, 25, 98, 20, 55, 59, 13, 60, 95, 70, 37, 75, 21, 63, 56, 48, 78, 95, 33, 90, 63, 100, 84, 60, 62, 35, 21, 28, 77, 81, 43, 42, 14, 20, 58, 34, 60, 21, 55, 72, 97, 98, 52, 12, 12, 68, 88, 43, 33, 66, 4, 59, 81, 15, 52, 66, 51, 56, 55, 56, 18, 50, 60, 25, 16, 52, 85, 75, 96, 65, 100, 21, 54, 51, 44, 1, 10, 57, 2, 6, 74, 15, 56, 81, 4, 85, 78, 29, 44, 14, 47, 97, 42, 80, 73, 33, 28, 31, 16, 48, 85, 38, 41, 52, 92, 74, 42, 74, 79, 19, 44, 69, 43, 34, 57, 38, 69, 56, 91, 5, 10, 56, 33, 1, 14, 63, 99, 72, 14, 49, 92, 62, 48, 89, 16, 69, 37, 80, 14, 95, 95, 42, 81, 27, 16, 99, 42, 33, 84, 14, 35, 71, 84, 1, 29, 61, 96, 91, 64, 49, 21, 89, 91, 32, 96, 47, 69, 23, 98, 29, 5, 97, 77, 71, 37, 58, 78, 8, 57, 36, 91, 13, 45, 16, 99, 37, 36, 31, 23, 76, 87, 46, 60, 56, 98, 27, 87, 14, 37, 5, 32, 38, 19, 18, 87, 53, 34, 67, 3, 15, 21, 8, 72, 49, 70, 37, 74, 40, 14, 56, 27, 26, 32, 56, 38, 41, 22, 22, 40, 1, 21, 38, 96, 1, 63, 45, 5, 14, 12, 93, 2, 30, 35, 6, 83, 3, 72, 45, 81, 96, 16, 27, 37, 71, 64, 69, 13, 33, 100, 68, 7, 47, 53, 9, 77, 14, 98, 89, 50, 47, 98, 36, 99, 83, 85, 11, 92, 34, 17, 99, 56, 14, 71, 85, 62, 7, 34, 55, 50, 14, 48, 85, 28, 18, 79, 3, 96, 30, 74, 21, 86, 55, 52, 13, 23, 16, 20, 68, 24, 68, 10, 44, 89, 70, 17, 68, 64, 29, 10, 9, 39, 86, 17, 16, 100, 9, 69, 72, 81, 16, 65, 54, 80, 60, 32, 46, 27, 49, 64, 16, 6, 52, 35, 15, 39, 32, 62, 49, 19, 51, 63, 73, 13, 88, 10, 13, 93, 20, 30, 36, 89, 5, 13, 3, 9, 21, 36, 8, 6, 15, 72, 18, 24, 51, 78, 89, 35, 15, 96, 22, 99, 72, 100, 16, 3, 63, 92, 85, 46, 24, 76, 50, 83, 96, 42, 85, 8, 12, 10, 29, 38, 5, 81, 27, 95, 1, 47, 72, 16, 17, 24, 67, 57, 13, 68, 44, 34, 95, 90, 34, 67, 32, 21, 61, 6, 96, 36, 99, 48, 84, 23, 99, 95, 64, 28, 19, 15, 43, 8, 96, 60, 43, 86, 70, 86, 97, 23, 28, 9, 3, 89, 86, 74, 100, 59, 65, 57, 19, 74, 75, 52, 23, 65, 44, 43, 33, 80, 59, 52, 91, 24, 49, 26, 45, 3, 16, 92, 25, 14, 24, 59, 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