------- (11, 832, 6) ALL distance distributions for INTERNAL point (6, 832, 6) has 1 possible DDs: {[13, 78, 195, 260, 195, 78, 13]} (7, 832, 6) has 13 possible DDs: {[1, 84, 21, 420, 35, 252, 7, 12], [2, 77, 42, 385, 70, 231, 14, 11], [3, 70, 63, 350, 105, 210, 21, 10], [4, 63, 84, 315, 140, 189, 28, 9], [5, 56, 105, 280, 175, 168, 35, 8], [6, 49, 126, 245, 210, 147, 42, 7], [7, 42, 147, 210, 245, 126, 49, 6], [8, 35, 168, 175, 280, 105, 56, 5], [9, 28, 189, 140, 315, 84, 63, 4], [10, 21, 210, 105, 350, 63, 70, 3], [11, 14, 231, 70, 385, 42, 77, 2], [12, 7, 252, 35, 420, 21, 84, 1], [13, 0, 273, 0, 455, 0, 91, 0]} (8, 832, 6) has 49 possible DDs: {[1, 38, 70, 182, 280, 98, 154, 2, 7], [1, 39, 63, 203, 245, 133, 133, 9, 6], [1, 40, 56, 224, 210, 168, 112, 16, 5], [1, 41, 49, 245, 175, 203, 91, 23, 4], [1, 42, 42, 266, 140, 238, 70, 30, 3], [1, 43, 35, 287, 105, 273, 49, 37, 2], [1, 44, 28, 308, 70, 308, 28, 44, 1], [1, 45, 21, 329, 35, 343, 7, 51, 0], [2, 31, 91, 147, 315, 77, 161, 1, 7], [2, 32, 84, 168, 280, 112, 140, 8, 6], [2, 33, 77, 189, 245, 147, 119, 15, 5], [2, 34, 70, 210, 210, 182, 98, 22, 4], [2, 35, 63, 231, 175, 217, 77, 29, 3], [2, 36, 56, 252, 140, 252, 56, 36, 2], [2, 37, 49, 273, 105, 287, 35, 43, 1], [2, 38, 42, 294, 70, 322, 14, 50, 0], [3, 24, 112, 112, 350, 56, 168, 0, 7], [3, 25, 105, 133, 315, 91, 147, 7, 6], [3, 26, 98, 154, 280, 126, 126, 14, 5], [3, 27, 91, 175, 245, 161, 105, 21, 4], [3, 28, 84, 196, 210, 196, 84, 28, 3], [3, 29, 77, 217, 175, 231, 63, 35, 2], [3, 30, 70, 238, 140, 266, 42, 42, 1], [3, 31, 63, 259, 105, 301, 21, 49, 0], [4, 18, 126, 98, 350, 70, 154, 6, 6], [4, 19, 119, 119, 315, 105, 133, 13, 5], [4, 20, 112, 140, 280, 140, 112, 20, 4], [4, 21, 105, 161, 245, 175, 91, 27, 3], [4, 22, 98, 182, 210, 210, 70, 34, 2], [4, 23, 91, 203, 175, 245, 49, 41, 1], [4, 24, 84, 224, 140, 280, 28, 48, 0], [5, 11, 147, 63, 385, 49, 161, 5, 6], [5, 12, 140, 84, 350, 84, 140, 12, 5], [5, 13, 133, 105, 315, 119, 119, 19, 4], [5, 14, 126, 126, 280, 154, 98, 26, 3], [5, 15, 119, 147, 245, 189, 77, 33, 2], [5, 16, 112, 168, 210, 224, 56, 40, 1], [5, 17, 105, 189, 175, 259, 35, 47, 0], [6, 4, 168, 28, 420, 28, 168, 4, 6], [6, 5, 161, 49, 385, 63, 147, 11, 5], [6, 6, 154, 70, 350, 98, 126, 18, 4], [6, 7, 147, 91, 315, 133, 105, 25, 3], [6, 8, 140, 112, 280, 168, 84, 32, 2], [6, 9, 133, 133, 245, 203, 63, 39, 1], [6, 10, 126, 154, 210, 238, 42, 46, 0], [7, 0, 168, 56, 350, 112, 112, 24, 3], [7, 1, 161, 77, 315, 147, 91, 31, 2], [7, 2, 154, 98, 280, 182, 70, 38, 1], [7, 3, 147, 119, 245, 217, 49, 45, 0]} (9, 832, 6) has 178 possible DDs: {[1, 11, 99, 7, 413, 21, 217, 53, 6, 4], [1, 12, 92, 28, 378, 56, 196, 60, 5, 4], [1, 12, 93, 21, 399, 21, 231, 39, 12, 3], [1, 13, 85, 49, 343, 91, 175, 67, 4, 4], [1, 13, 86, 42, 364, 56, 210, 46, 11, 3], [1, 13, 87, 35, 385, 21, 245, 25, 18, 2], [1, 14, 78, 70, 308, 126, 154, 74, 3, 4], [1, 14, 79, 63, 329, 91, 189, 53, 10, 3], [1, 14, 80, 56, 350, 56, 224, 32, 17, 2], [1, 14, 81, 49, 371, 21, 259, 11, 24, 1], [1, 15, 71, 91, 273, 161, 133, 81, 2, 4], [1, 15, 72, 84, 294, 126, 168, 60, 9, 3], [1, 15, 73, 77, 315, 91, 203, 39, 16, 2], [1, 15, 74, 70, 336, 56, 238, 18, 23, 1], [1, 16, 64, 112, 238, 196, 112, 88, 1, 4], [1, 16, 65, 105, 259, 161, 147, 67, 8, 3], [1, 16, 66, 98, 280, 126, 182, 46, 15, 2], [1, 16, 67, 91, 301, 91, 217, 25, 22, 1], [1, 16, 68, 84, 322, 56, 252, 4, 29, 0], [1, 17, 57, 133, 203, 231, 91, 95, 0, 4], [1, 17, 58, 126, 224, 196, 126, 74, 7, 3], [1, 17, 59, 119, 245, 161, 161, 53, 14, 2], [1, 17, 60, 112, 266, 126, 196, 32, 21, 1], [1, 17, 61, 105, 287, 91, 231, 11, 28, 0], [1, 18, 51, 147, 189, 231, 105, 81, 6, 3], [1, 18, 52, 140, 210, 196, 140, 60, 13, 2], [1, 18, 53, 133, 231, 161, 175, 39, 20, 1], [1, 18, 54, 126, 252, 126, 210, 18, 27, 0], [1, 19, 44, 168, 154, 266, 84, 88, 5, 3], [1, 19, 45, 161, 175, 231, 119, 67, 12, 2], [1, 19, 46, 154, 196, 196, 154, 46, 19, 1], [1, 19, 47, 147, 217, 161, 189, 25, 26, 0], [1, 20, 37, 189, 119, 301, 63, 95, 4, 3], [1, 20, 38, 182, 140, 266, 98, 74, 11, 2], [1, 20, 39, 175, 161, 231, 133, 53, 18, 1], [1, 20, 40, 168, 182, 196, 168, 32, 25, 0], [1, 21, 30, 210, 84, 336, 42, 102, 3, 3], [1, 21, 31, 203, 105, 301, 77, 81, 10, 2], [1, 21, 32, 196, 126, 266, 112, 60, 17, 1], [1, 21, 33, 189, 147, 231, 147, 39, 24, 0], [1, 22, 23, 231, 49, 371, 21, 109, 2, 3], [1, 22, 24, 224, 70, 336, 56, 88, 9, 2], [1, 22, 25, 217, 91, 301, 91, 67, 16, 1], [1, 22, 26, 210, 112, 266, 126, 46, 23, 0], [1, 23, 16, 252, 14, 406, 0, 116, 1, 3], [1, 23, 17, 245, 35, 371, 35, 95, 8, 2], [1, 23, 18, 238, 56, 336, 70, 74, 15, 1], [1, 23, 19, 231, 77, 301, 105, 53, 22, 0], [1, 24, 10, 266, 0, 406, 14, 102, 7, 2], [1, 24, 11, 259, 21, 371, 49, 81, 14, 1], [1, 24, 12, 252, 42, 336, 84, 60, 21, 0], [1, 25, 5, 273, 7, 371, 63, 67, 20, 0], [2, 6, 106, 14, 378, 70, 182, 66, 4, 4], [2, 6, 107, 7, 399, 35, 217, 45, 11, 3], [2, 6, 108, 0, 420, 0, 252, 24, 18, 2], [2, 7, 99, 35, 343, 105, 161, 73, 3, 4], [2, 7, 100, 28, 364, 70, 196, 52, 10, 3], [2, 7, 101, 21, 385, 35, 231, 31, 17, 2], [2, 7, 102, 14, 406, 0, 266, 10, 24, 1], [2, 8, 92, 56, 308, 140, 140, 80, 2, 4], [2, 8, 93, 49, 329, 105, 175, 59, 9, 3], [2, 8, 94, 42, 350, 70, 210, 38, 16, 2], [2, 8, 95, 35, 371, 35, 245, 17, 23, 1], [2, 9, 85, 77, 273, 175, 119, 87, 1, 4], [2, 9, 86, 70, 294, 140, 154, 66, 8, 3], [2, 9, 87, 63, 315, 105, 189, 45, 15, 2], [2, 9, 88, 56, 336, 70, 224, 24, 22, 1], [2, 9, 89, 49, 357, 35, 259, 3, 29, 0], [2, 10, 78, 98, 238, 210, 98, 94, 0, 4], [2, 10, 79, 91, 259, 175, 133, 73, 7, 3], [2, 10, 80, 84, 280, 140, 168, 52, 14, 2], [2, 10, 81, 77, 301, 105, 203, 31, 21, 1], [2, 10, 82, 70, 322, 70, 238, 10, 28, 0], [2, 11, 72, 112, 224, 210, 112, 80, 6, 3], [2, 11, 73, 105, 245, 175, 147, 59, 13, 2], [2, 11, 74, 98, 266, 140, 182, 38, 20, 1], [2, 11, 75, 91, 287, 105, 217, 17, 27, 0], [2, 12, 65, 133, 189, 245, 91, 87, 5, 3], [2, 12, 66, 126, 210, 210, 126, 66, 12, 2], [2, 12, 67, 119, 231, 175, 161, 45, 19, 1], [2, 12, 68, 112, 252, 140, 196, 24, 26, 0], [2, 13, 58, 154, 154, 280, 70, 94, 4, 3], [2, 13, 59, 147, 175, 245, 105, 73, 11, 2], [2, 13, 60, 140, 196, 210, 140, 52, 18, 1], [2, 13, 61, 133, 217, 175, 175, 31, 25, 0], [2, 14, 51, 175, 119, 315, 49, 101, 3, 3], [2, 14, 52, 168, 140, 280, 84, 80, 10, 2], [2, 14, 53, 161, 161, 245, 119, 59, 17, 1], [2, 14, 54, 154, 182, 210, 154, 38, 24, 0], [2, 15, 44, 196, 84, 350, 28, 108, 2, 3], [2, 15, 45, 189, 105, 315, 63, 87, 9, 2], [2, 15, 46, 182, 126, 280, 98, 66, 16, 1], [2, 15, 47, 175, 147, 245, 133, 45, 23, 0], [2, 16, 37, 217, 49, 385, 7, 115, 1, 3], [2, 16, 38, 210, 70, 350, 42, 94, 8, 2], [2, 16, 39, 203, 91, 315, 77, 73, 15, 1], [2, 16, 40, 196, 112, 280, 112, 52, 22, 0], [2, 17, 31, 231, 35, 385, 21, 101, 7, 2], [2, 17, 32, 224, 56, 350, 56, 80, 14, 1], [2, 17, 33, 217, 77, 315, 91, 59, 21, 0], [2, 18, 24, 252, 0, 420, 0, 108, 6, 2], [2, 18, 25, 245, 21, 385, 35, 87, 13, 1], [2, 18, 26, 238, 42, 350, 70, 66, 20, 0], [2, 19, 19, 259, 7, 385, 49, 73, 19, 0], [3, 0, 120, 0, 378, 84, 168, 72, 3, 4], [3, 1, 113, 21, 343, 119, 147, 79, 2, 4], [3, 1, 114, 14, 364, 84, 182, 58, 9, 3], [3, 1, 115, 7, 385, 49, 217, 37, 16, 2], [3, 1, 116, 0, 406, 14, 252, 16, 23, 1], [3, 2, 106, 42, 308, 154, 126, 86, 1, 4], [3, 2, 107, 35, 329, 119, 161, 65, 8, 3], [3, 2, 108, 28, 350, 84, 196, 44, 15, 2], [3, 2, 109, 21, 371, 49, 231, 23, 22, 1], [3, 2, 110, 14, 392, 14, 266, 2, 29, 0], [3, 3, 99, 63, 273, 189, 105, 93, 0, 4], [3, 3, 100, 56, 294, 154, 140, 72, 7, 3], [3, 3, 101, 49, 315, 119, 175, 51, 14, 2], [3, 3, 102, 42, 336, 84, 210, 30, 21, 1], [3, 3, 103, 35, 357, 49, 245, 9, 28, 0], [3, 4, 93, 77, 259, 189, 119, 79, 6, 3], [3, 4, 94, 70, 280, 154, 154, 58, 13, 2], [3, 4, 95, 63, 301, 119, 189, 37, 20, 1], [3, 4, 96, 56, 322, 84, 224, 16, 27, 0], [3, 5, 86, 98, 224, 224, 98, 86, 5, 3], [3, 5, 87, 91, 245, 189, 133, 65, 12, 2], [3, 5, 88, 84, 266, 154, 168, 44, 19, 1], [3, 5, 89, 77, 287, 119, 203, 23, 26, 0], [3, 6, 79, 119, 189, 259, 77, 93, 4, 3], [3, 6, 80, 112, 210, 224, 112, 72, 11, 2], [3, 6, 81, 105, 231, 189, 147, 51, 18, 1], [3, 6, 82, 98, 252, 154, 182, 30, 25, 0], [3, 7, 72, 140, 154, 294, 56, 100, 3, 3], [3, 7, 73, 133, 175, 259, 91, 79, 10, 2], [3, 7, 74, 126, 196, 224, 126, 58, 17, 1], [3, 7, 75, 119, 217, 189, 161, 37, 24, 0], [3, 8, 65, 161, 119, 329, 35, 107, 2, 3], [3, 8, 66, 154, 140, 294, 70, 86, 9, 2], [3, 8, 67, 147, 161, 259, 105, 65, 16, 1], [3, 8, 68, 140, 182, 224, 140, 44, 23, 0], [3, 9, 58, 182, 84, 364, 14, 114, 1, 3], [3, 9, 59, 175, 105, 329, 49, 93, 8, 2], [3, 9, 60, 168, 126, 294, 84, 72, 15, 1], [3, 9, 61, 161, 147, 259, 119, 51, 22, 0], [3, 10, 52, 196, 70, 364, 28, 100, 7, 2], [3, 10, 53, 189, 91, 329, 63, 79, 14, 1], [3, 10, 54, 182, 112, 294, 98, 58, 21, 0], [3, 11, 45, 217, 35, 399, 7, 107, 6, 2], [3, 11, 46, 210, 56, 364, 42, 86, 13, 1], [3, 11, 47, 203, 77, 329, 77, 65, 20, 0], [3, 12, 39, 231, 21, 399, 21, 93, 12, 1], [3, 12, 40, 224, 42, 364, 56, 72, 19, 0], [3, 13, 33, 245, 7, 399, 35, 79, 18, 0], [4, 0, 93, 105, 189, 273, 63, 99, 3, 3], [4, 0, 94, 98, 210, 238, 98, 78, 10, 2], [4, 0, 95, 91, 231, 203, 133, 57, 17, 1], [4, 0, 96, 84, 252, 168, 168, 36, 24, 0], [4, 1, 86, 126, 154, 308, 42, 106, 2, 3], [4, 1, 87, 119, 175, 273, 77, 85, 9, 2], [4, 1, 88, 112, 196, 238, 112, 64, 16, 1], [4, 1, 89, 105, 217, 203, 147, 43, 23, 0], [4, 2, 79, 147, 119, 343, 21, 113, 1, 3], [4, 2, 80, 140, 140, 308, 56, 92, 8, 2], [4, 2, 81, 133, 161, 273, 91, 71, 15, 1], [4, 2, 82, 126, 182, 238, 126, 50, 22, 0], [4, 3, 72, 168, 84, 378, 0, 120, 0, 3], [4, 3, 73, 161, 105, 343, 35, 99, 7, 2], [4, 3, 74, 154, 126, 308, 70, 78, 14, 1], [4, 3, 75, 147, 147, 273, 105, 57, 21, 0], [4, 4, 66, 182, 70, 378, 14, 106, 6, 2], [4, 4, 67, 175, 91, 343, 49, 85, 13, 1], [4, 4, 68, 168, 112, 308, 84, 64, 20, 0], [4, 5, 60, 196, 56, 378, 28, 92, 12, 1], [4, 5, 61, 189, 77, 343, 63, 71, 19, 0], [4, 6, 53, 217, 21, 413, 7, 99, 11, 1], [4, 6, 54, 210, 42, 378, 42, 78, 18, 0], [4, 7, 47, 231, 7, 413, 21, 85, 17, 0], [5, 0, 68, 196, 42, 392, 28, 84, 17, 0], [5, 1, 61, 217, 7, 427, 7, 91, 16, 0]} (10, 832, 6) has 501 possible DDs: {[1, 0, 77, 24, 196, 308, 0, 208, 11, 4, 3], [1, 0, 78, 17, 217, 273, 35, 187, 18, 3, 3], [1, 0, 79, 10, 238, 238, 70, 166, 25, 2, 3], [1, 0, 79, 11, 231, 259, 35, 201, 4, 9, 2], [1, 0, 80, 3, 259, 203, 105, 145, 32, 1, 3], [1, 0, 80, 4, 252, 224, 70, 180, 11, 8, 2], [1, 1, 71, 38, 182, 308, 14, 194, 17, 3, 3], [1, 1, 72, 31, 203, 273, 49, 173, 24, 2, 3], [1, 1, 72, 32, 196, 294, 14, 208, 3, 9, 2], [1, 1, 73, 24, 224, 238, 84, 152, 31, 1, 3], [1, 1, 73, 25, 217, 259, 49, 187, 10, 8, 2], [1, 1, 74, 17, 245, 203, 119, 131, 38, 0, 3], [1, 1, 74, 18, 238, 224, 84, 166, 17, 7, 2], [1, 1, 75, 11, 259, 189, 119, 145, 24, 6, 2], [1, 1, 75, 12, 252, 210, 84, 180, 3, 13, 1], [1, 1, 76, 4, 280, 154, 154, 124, 31, 5, 2], [1, 1, 76, 5, 273, 175, 119, 159, 10, 12, 1], [1, 2, 65, 52, 168, 308, 28, 180, 23, 2, 3], [1, 2, 66, 45, 189, 273, 63, 159, 30, 1, 3], [1, 2, 66, 46, 182, 294, 28, 194, 9, 8, 2], [1, 2, 67, 38, 210, 238, 98, 138, 37, 0, 3], [1, 2, 67, 39, 203, 259, 63, 173, 16, 7, 2], [1, 2, 68, 32, 224, 224, 98, 152, 23, 6, 2], [1, 2, 68, 33, 217, 245, 63, 187, 2, 13, 1], [1, 2, 69, 25, 245, 189, 133, 131, 30, 5, 2], [1, 2, 69, 26, 238, 210, 98, 166, 9, 12, 1], [1, 2, 70, 18, 266, 154, 168, 110, 37, 4, 2], [1, 2, 70, 19, 259, 175, 133, 145, 16, 11, 1], [1, 2, 71, 11, 287, 119, 203, 89, 44, 3, 2], [1, 2, 71, 12, 280, 140, 168, 124, 23, 10, 1], [1, 2, 71, 13, 273, 161, 133, 159, 2, 17, 0], [1, 2, 72, 4, 308, 84, 238, 68, 51, 2, 2], [1, 2, 72, 5, 301, 105, 203, 103, 30, 9, 1], [1, 2, 72, 6, 294, 126, 168, 138, 9, 16, 0], [1, 3, 58, 73, 133, 343, 7, 187, 22, 2, 3], [1, 3, 59, 66, 154, 308, 42, 166, 29, 1, 3], [1, 3, 59, 67, 147, 329, 7, 201, 8, 8, 2], [1, 3, 60, 59, 175, 273, 77, 145, 36, 0, 3], [1, 3, 60, 60, 168, 294, 42, 180, 15, 7, 2], [1, 3, 61, 53, 189, 259, 77, 159, 22, 6, 2], [1, 3, 61, 54, 182, 280, 42, 194, 1, 13, 1], [1, 3, 62, 46, 210, 224, 112, 138, 29, 5, 2], [1, 3, 62, 47, 203, 245, 77, 173, 8, 12, 1], [1, 3, 63, 39, 231, 189, 147, 117, 36, 4, 2], [1, 3, 63, 40, 224, 210, 112, 152, 15, 11, 1], [1, 3, 64, 32, 252, 154, 182, 96, 43, 3, 2], [1, 3, 64, 33, 245, 175, 147, 131, 22, 10, 1], [1, 3, 64, 34, 238, 196, 112, 166, 1, 17, 0], [1, 3, 65, 25, 273, 119, 217, 75, 50, 2, 2], [1, 3, 65, 26, 266, 140, 182, 110, 29, 9, 1], [1, 3, 65, 27, 259, 161, 147, 145, 8, 16, 0], [1, 3, 66, 18, 294, 84, 252, 54, 57, 1, 2], [1, 3, 66, 19, 287, 105, 217, 89, 36, 8, 1], [1, 3, 66, 20, 280, 126, 182, 124, 15, 15, 0], [1, 3, 67, 11, 315, 49, 287, 33, 64, 0, 2], [1, 3, 67, 12, 308, 70, 252, 68, 43, 7, 1], [1, 3, 67, 13, 301, 91, 217, 103, 22, 14, 0], [1, 3, 68, 5, 329, 35, 287, 47, 50, 6, 1], [1, 3, 68, 6, 322, 56, 252, 82, 29, 13, 0], [1, 4, 52, 87, 119, 343, 21, 173, 28, 1, 3], [1, 4, 53, 80, 140, 308, 56, 152, 35, 0, 3], [1, 4, 53, 81, 133, 329, 21, 187, 14, 7, 2], [1, 4, 54, 74, 154, 294, 56, 166, 21, 6, 2], [1, 4, 54, 75, 147, 315, 21, 201, 0, 13, 1], [1, 4, 55, 67, 175, 259, 91, 145, 28, 5, 2], [1, 4, 55, 68, 168, 280, 56, 180, 7, 12, 1], [1, 4, 56, 60, 196, 224, 126, 124, 35, 4, 2], [1, 4, 56, 61, 189, 245, 91, 159, 14, 11, 1], [1, 4, 57, 53, 217, 189, 161, 103, 42, 3, 2], [1, 4, 57, 54, 210, 210, 126, 138, 21, 10, 1], [1, 4, 57, 55, 203, 231, 91, 173, 0, 17, 0], [1, 4, 58, 46, 238, 154, 196, 82, 49, 2, 2], [1, 4, 58, 47, 231, 175, 161, 117, 28, 9, 1], [1, 4, 58, 48, 224, 196, 126, 152, 7, 16, 0], [1, 4, 59, 39, 259, 119, 231, 61, 56, 1, 2], [1, 4, 59, 40, 252, 140, 196, 96, 35, 8, 1], [1, 4, 59, 41, 245, 161, 161, 131, 14, 15, 0], [1, 4, 60, 32, 280, 84, 266, 40, 63, 0, 2], [1, 4, 60, 33, 273, 105, 231, 75, 42, 7, 1], [1, 4, 60, 34, 266, 126, 196, 110, 21, 14, 0], [1, 4, 61, 26, 294, 70, 266, 54, 49, 6, 1], [1, 4, 61, 27, 287, 91, 231, 89, 28, 13, 0], [1, 4, 62, 19, 315, 35, 301, 33, 56, 5, 1], [1, 4, 62, 20, 308, 56, 266, 68, 35, 12, 0], [1, 4, 63, 12, 336, 0, 336, 12, 63, 4, 1], [1, 4, 63, 13, 329, 21, 301, 47, 42, 11, 0], [1, 5, 45, 108, 84, 378, 0, 180, 27, 1, 3], [1, 5, 46, 101, 105, 343, 35, 159, 34, 0, 3], [1, 5, 46, 102, 98, 364, 0, 194, 13, 7, 2], [1, 5, 47, 95, 119, 329, 35, 173, 20, 6, 2], [1, 5, 48, 88, 140, 294, 70, 152, 27, 5, 2], [1, 5, 48, 89, 133, 315, 35, 187, 6, 12, 1], [1, 5, 49, 81, 161, 259, 105, 131, 34, 4, 2], [1, 5, 49, 82, 154, 280, 70, 166, 13, 11, 1], [1, 5, 50, 74, 182, 224, 140, 110, 41, 3, 2], [1, 5, 50, 75, 175, 245, 105, 145, 20, 10, 1], [1, 5, 51, 67, 203, 189, 175, 89, 48, 2, 2], [1, 5, 51, 68, 196, 210, 140, 124, 27, 9, 1], [1, 5, 51, 69, 189, 231, 105, 159, 6, 16, 0], [1, 5, 52, 60, 224, 154, 210, 68, 55, 1, 2], [1, 5, 52, 61, 217, 175, 175, 103, 34, 8, 1], [1, 5, 52, 62, 210, 196, 140, 138, 13, 15, 0], [1, 5, 53, 53, 245, 119, 245, 47, 62, 0, 2], [1, 5, 53, 54, 238, 140, 210, 82, 41, 7, 1], [1, 5, 53, 55, 231, 161, 175, 117, 20, 14, 0], [1, 5, 54, 47, 259, 105, 245, 61, 48, 6, 1], [1, 5, 54, 48, 252, 126, 210, 96, 27, 13, 0], [1, 5, 55, 40, 280, 70, 280, 40, 55, 5, 1], [1, 5, 55, 41, 273, 91, 245, 75, 34, 12, 0], [1, 5, 56, 33, 301, 35, 315, 19, 62, 4, 1], [1, 5, 56, 34, 294, 56, 280, 54, 41, 11, 0], [1, 5, 57, 27, 315, 21, 315, 33, 48, 10, 0], [1, 6, 39, 122, 70, 378, 14, 166, 33, 0, 3], [1, 6, 40, 116, 84, 364, 14, 180, 19, 6, 2], [1, 6, 41, 109, 105, 329, 49, 159, 26, 5, 2], [1, 6, 41, 110, 98, 350, 14, 194, 5, 12, 1], [1, 6, 42, 102, 126, 294, 84, 138, 33, 4, 2], [1, 6, 42, 103, 119, 315, 49, 173, 12, 11, 1], [1, 6, 43, 95, 147, 259, 119, 117, 40, 3, 2], [1, 6, 43, 96, 140, 280, 84, 152, 19, 10, 1], [1, 6, 44, 88, 168, 224, 154, 96, 47, 2, 2], [1, 6, 44, 89, 161, 245, 119, 131, 26, 9, 1], [1, 6, 44, 90, 154, 266, 84, 166, 5, 16, 0], [1, 6, 45, 81, 189, 189, 189, 75, 54, 1, 2], [1, 6, 45, 82, 182, 210, 154, 110, 33, 8, 1], [1, 6, 45, 83, 175, 231, 119, 145, 12, 15, 0], [1, 6, 46, 74, 210, 154, 224, 54, 61, 0, 2], [1, 6, 46, 75, 203, 175, 189, 89, 40, 7, 1], [1, 6, 46, 76, 196, 196, 154, 124, 19, 14, 0], [1, 6, 47, 68, 224, 140, 224, 68, 47, 6, 1], [1, 6, 47, 69, 217, 161, 189, 103, 26, 13, 0], [1, 6, 48, 61, 245, 105, 259, 47, 54, 5, 1], [1, 6, 48, 62, 238, 126, 224, 82, 33, 12, 0], [1, 6, 49, 54, 266, 70, 294, 26, 61, 4, 1], [1, 6, 49, 55, 259, 91, 259, 61, 40, 11, 0], [1, 6, 50, 47, 287, 35, 329, 5, 68, 3, 1], [1, 6, 50, 48, 280, 56, 294, 40, 47, 10, 0], [1, 6, 51, 41, 301, 21, 329, 19, 54, 9, 0], [1, 7, 34, 130, 70, 364, 28, 166, 25, 5, 2], [1, 7, 35, 123, 91, 329, 63, 145, 32, 4, 2], [1, 7, 35, 124, 84, 350, 28, 180, 11, 11, 1], [1, 7, 36, 116, 112, 294, 98, 124, 39, 3, 2], [1, 7, 36, 117, 105, 315, 63, 159, 18, 10, 1], [1, 7, 37, 109, 133, 259, 133, 103, 46, 2, 2], [1, 7, 37, 110, 126, 280, 98, 138, 25, 9, 1], [1, 7, 37, 111, 119, 301, 63, 173, 4, 16, 0], [1, 7, 38, 102, 154, 224, 168, 82, 53, 1, 2], [1, 7, 38, 103, 147, 245, 133, 117, 32, 8, 1], [1, 7, 38, 104, 140, 266, 98, 152, 11, 15, 0], [1, 7, 39, 95, 175, 189, 203, 61, 60, 0, 2], [1, 7, 39, 96, 168, 210, 168, 96, 39, 7, 1], [1, 7, 39, 97, 161, 231, 133, 131, 18, 14, 0], [1, 7, 40, 89, 189, 175, 203, 75, 46, 6, 1], [1, 7, 40, 90, 182, 196, 168, 110, 25, 13, 0], [1, 7, 41, 82, 210, 140, 238, 54, 53, 5, 1], [1, 7, 41, 83, 203, 161, 203, 89, 32, 12, 0], [1, 7, 42, 75, 231, 105, 273, 33, 60, 4, 1], [1, 7, 42, 76, 224, 126, 238, 68, 39, 11, 0], [1, 7, 43, 68, 252, 70, 308, 12, 67, 3, 1], [1, 7, 43, 69, 245, 91, 273, 47, 46, 10, 0], [1, 7, 44, 62, 266, 56, 308, 26, 53, 9, 0], [1, 7, 45, 55, 287, 21, 343, 5, 60, 8, 0], [1, 8, 27, 151, 35, 399, 7, 173, 24, 5, 2], [1, 8, 28, 144, 56, 364, 42, 152, 31, 4, 2], [1, 8, 28, 145, 49, 385, 7, 187, 10, 11, 1], [1, 8, 29, 137, 77, 329, 77, 131, 38, 3, 2], [1, 8, 29, 138, 70, 350, 42, 166, 17, 10, 1], [1, 8, 30, 130, 98, 294, 112, 110, 45, 2, 2], [1, 8, 30, 131, 91, 315, 77, 145, 24, 9, 1], [1, 8, 30, 132, 84, 336, 42, 180, 3, 16, 0], [1, 8, 31, 123, 119, 259, 147, 89, 52, 1, 2], [1, 8, 31, 124, 112, 280, 112, 124, 31, 8, 1], [1, 8, 31, 125, 105, 301, 77, 159, 10, 15, 0], [1, 8, 32, 116, 140, 224, 182, 68, 59, 0, 2], [1, 8, 32, 117, 133, 245, 147, 103, 38, 7, 1], [1, 8, 32, 118, 126, 266, 112, 138, 17, 14, 0], [1, 8, 33, 110, 154, 210, 182, 82, 45, 6, 1], [1, 8, 33, 111, 147, 231, 147, 117, 24, 13, 0], [1, 8, 34, 103, 175, 175, 217, 61, 52, 5, 1], [1, 8, 34, 104, 168, 196, 182, 96, 31, 12, 0], [1, 8, 35, 96, 196, 140, 252, 40, 59, 4, 1], [1, 8, 35, 97, 189, 161, 217, 75, 38, 11, 0], [1, 8, 36, 89, 217, 105, 287, 19, 66, 3, 1], [1, 8, 36, 90, 210, 126, 252, 54, 45, 10, 0], [1, 8, 37, 83, 231, 91, 287, 33, 52, 9, 0], [1, 8, 38, 76, 252, 56, 322, 12, 59, 8, 0], [1, 9, 21, 165, 21, 399, 21, 159, 30, 4, 2], [1, 9, 22, 158, 42, 364, 56, 138, 37, 3, 2], [1, 9, 22, 159, 35, 385, 21, 173, 16, 10, 1], [1, 9, 23, 151, 63, 329, 91, 117, 44, 2, 2], [1, 9, 23, 152, 56, 350, 56, 152, 23, 9, 1], [1, 9, 23, 153, 49, 371, 21, 187, 2, 16, 0], [1, 9, 24, 144, 84, 294, 126, 96, 51, 1, 2], [1, 9, 24, 145, 77, 315, 91, 131, 30, 8, 1], [1, 9, 24, 146, 70, 336, 56, 166, 9, 15, 0], [1, 9, 25, 137, 105, 259, 161, 75, 58, 0, 2], [1, 9, 25, 138, 98, 280, 126, 110, 37, 7, 1], [1, 9, 25, 139, 91, 301, 91, 145, 16, 14, 0], [1, 9, 26, 131, 119, 245, 161, 89, 44, 6, 1], [1, 9, 26, 132, 112, 266, 126, 124, 23, 13, 0], [1, 9, 27, 124, 140, 210, 196, 68, 51, 5, 1], [1, 9, 27, 125, 133, 231, 161, 103, 30, 12, 0], [1, 9, 28, 117, 161, 175, 231, 47, 58, 4, 1], [1, 9, 28, 118, 154, 196, 196, 82, 37, 11, 0], [1, 9, 29, 110, 182, 140, 266, 26, 65, 3, 1], [1, 9, 29, 111, 175, 161, 231, 61, 44, 10, 0], [1, 9, 30, 103, 203, 105, 301, 5, 72, 2, 1], [1, 9, 30, 104, 196, 126, 266, 40, 51, 9, 0], [1, 9, 31, 97, 217, 91, 301, 19, 58, 8, 0], [1, 10, 15, 179, 7, 399, 35, 145, 36, 3, 2], [1, 10, 15, 180, 0, 420, 0, 180, 15, 10, 1], [1, 10, 16, 172, 28, 364, 70, 124, 43, 2, 2], [1, 10, 16, 173, 21, 385, 35, 159, 22, 9, 1], [1, 10, 16, 174, 14, 406, 0, 194, 1, 16, 0], [1, 10, 17, 165, 49, 329, 105, 103, 50, 1, 2], [1, 10, 17, 166, 42, 350, 70, 138, 29, 8, 1], [1, 10, 17, 167, 35, 371, 35, 173, 8, 15, 0], [1, 10, 18, 158, 70, 294, 140, 82, 57, 0, 2], [1, 10, 18, 159, 63, 315, 105, 117, 36, 7, 1], [1, 10, 18, 160, 56, 336, 70, 152, 15, 14, 0], [1, 10, 19, 152, 84, 280, 140, 96, 43, 6, 1], [1, 10, 19, 153, 77, 301, 105, 131, 22, 13, 0], [1, 10, 20, 145, 105, 245, 175, 75, 50, 5, 1], [1, 10, 20, 146, 98, 266, 140, 110, 29, 12, 0], [1, 10, 21, 138, 126, 210, 210, 54, 57, 4, 1], [1, 10, 21, 139, 119, 231, 175, 89, 36, 11, 0], [1, 10, 22, 131, 147, 175, 245, 33, 64, 3, 1], [1, 10, 22, 132, 140, 196, 210, 68, 43, 10, 0], [1, 10, 23, 124, 168, 140, 280, 12, 71, 2, 1], [1, 10, 23, 125, 161, 161, 245, 47, 50, 9, 0], [1, 10, 24, 118, 182, 126, 280, 26, 57, 8, 0], [1, 10, 25, 111, 203, 91, 315, 5, 64, 7, 0], [1, 11, 10, 186, 14, 364, 84, 110, 49, 1, 2], [1, 11, 10, 187, 7, 385, 49, 145, 28, 8, 1], [1, 11, 10, 188, 0, 406, 14, 180, 7, 15, 0], [1, 11, 11, 179, 35, 329, 119, 89, 56, 0, 2], [1, 11, 11, 180, 28, 350, 84, 124, 35, 7, 1], [1, 11, 11, 181, 21, 371, 49, 159, 14, 14, 0], [1, 11, 12, 173, 49, 315, 119, 103, 42, 6, 1], [1, 11, 12, 174, 42, 336, 84, 138, 21, 13, 0], [1, 11, 13, 166, 70, 280, 154, 82, 49, 5, 1], [1, 11, 13, 167, 63, 301, 119, 117, 28, 12, 0], [1, 11, 14, 159, 91, 245, 189, 61, 56, 4, 1], [1, 11, 14, 160, 84, 266, 154, 96, 35, 11, 0], [1, 11, 15, 152, 112, 210, 224, 40, 63, 3, 1], [1, 11, 15, 153, 105, 231, 189, 75, 42, 10, 0], [1, 11, 16, 145, 133, 175, 259, 19, 70, 2, 1], [1, 11, 16, 146, 126, 196, 224, 54, 49, 9, 0], [1, 11, 17, 139, 147, 161, 259, 33, 56, 8, 0], [1, 11, 18, 132, 168, 126, 294, 12, 63, 7, 0], [1, 12, 4, 200, 0, 364, 98, 96, 55, 0, 2], [1, 12, 5, 194, 14, 350, 98, 110, 41, 6, 1], [1, 12, 5, 195, 7, 371, 63, 145, 20, 13, 0], [1, 12, 6, 187, 35, 315, 133, 89, 48, 5, 1], [1, 12, 6, 188, 28, 336, 98, 124, 27, 12, 0], [1, 12, 7, 180, 56, 280, 168, 68, 55, 4, 1], [1, 12, 7, 181, 49, 301, 133, 103, 34, 11, 0], [1, 12, 8, 173, 77, 245, 203, 47, 62, 3, 1], [1, 12, 8, 174, 70, 266, 168, 82, 41, 10, 0], [1, 12, 9, 166, 98, 210, 238, 26, 69, 2, 1], [1, 12, 9, 167, 91, 231, 203, 61, 48, 9, 0], [1, 12, 10, 159, 119, 175, 273, 5, 76, 1, 1], [1, 12, 10, 160, 112, 196, 238, 40, 55, 8, 0], [1, 12, 11, 153, 133, 161, 273, 19, 62, 7, 0], [1, 13, 0, 201, 21, 315, 147, 75, 54, 4, 1], [1, 13, 0, 202, 14, 336, 112, 110, 33, 11, 0], [1, 13, 1, 194, 42, 280, 182, 54, 61, 3, 1], [1, 13, 1, 195, 35, 301, 147, 89, 40, 10, 0], [1, 13, 2, 187, 63, 245, 217, 33, 68, 2, 1], [1, 13, 2, 188, 56, 266, 182, 68, 47, 9, 0], [1, 13, 3, 180, 84, 210, 252, 12, 75, 1, 1], [1, 13, 3, 181, 77, 231, 217, 47, 54, 8, 0], [1, 13, 4, 174, 98, 196, 252, 26, 61, 7, 0], [1, 13, 5, 167, 119, 161, 287, 5, 68, 6, 0], [2, 0, 53, 108, 70, 392, 0, 172, 32, 0, 3], [2, 0, 54, 102, 84, 378, 0, 186, 18, 6, 2], [2, 0, 55, 95, 105, 343, 35, 165, 25, 5, 2], [2, 0, 55, 96, 98, 364, 0, 200, 4, 12, 1], [2, 0, 56, 88, 126, 308, 70, 144, 32, 4, 2], [2, 0, 56, 89, 119, 329, 35, 179, 11, 11, 1], [2, 0, 57, 81, 147, 273, 105, 123, 39, 3, 2], [2, 0, 57, 82, 140, 294, 70, 158, 18, 10, 1], [2, 0, 58, 74, 168, 238, 140, 102, 46, 2, 2], [2, 0, 58, 75, 161, 259, 105, 137, 25, 9, 1], [2, 0, 58, 76, 154, 280, 70, 172, 4, 16, 0], [2, 0, 59, 67, 189, 203, 175, 81, 53, 1, 2], [2, 0, 59, 68, 182, 224, 140, 116, 32, 8, 1], [2, 0, 59, 69, 175, 245, 105, 151, 11, 15, 0], [2, 0, 60, 60, 210, 168, 210, 60, 60, 0, 2], [2, 0, 60, 61, 203, 189, 175, 95, 39, 7, 1], [2, 0, 60, 62, 196, 210, 140, 130, 18, 14, 0], [2, 0, 61, 54, 224, 154, 210, 74, 46, 6, 1], [2, 0, 61, 55, 217, 175, 175, 109, 25, 13, 0], [2, 0, 62, 47, 245, 119, 245, 53, 53, 5, 1], [2, 0, 62, 48, 238, 140, 210, 88, 32, 12, 0], [2, 0, 63, 40, 266, 84, 280, 32, 60, 4, 1], [2, 0, 63, 41, 259, 105, 245, 67, 39, 11, 0], [2, 0, 64, 33, 287, 49, 315, 11, 67, 3, 1], [2, 0, 64, 34, 280, 70, 280, 46, 46, 10, 0], [2, 0, 65, 27, 301, 35, 315, 25, 53, 9, 0], [2, 0, 66, 20, 322, 0, 350, 4, 60, 8, 0], [2, 1, 48, 116, 70, 378, 14, 172, 24, 5, 2], [2, 1, 49, 109, 91, 343, 49, 151, 31, 4, 2], [2, 1, 49, 110, 84, 364, 14, 186, 10, 11, 1], [2, 1, 50, 102, 112, 308, 84, 130, 38, 3, 2], [2, 1, 50, 103, 105, 329, 49, 165, 17, 10, 1], [2, 1, 51, 95, 133, 273, 119, 109, 45, 2, 2], [2, 1, 51, 96, 126, 294, 84, 144, 24, 9, 1], [2, 1, 51, 97, 119, 315, 49, 179, 3, 16, 0], [2, 1, 52, 88, 154, 238, 154, 88, 52, 1, 2], [2, 1, 52, 89, 147, 259, 119, 123, 31, 8, 1], [2, 1, 52, 90, 140, 280, 84, 158, 10, 15, 0], [2, 1, 53, 81, 175, 203, 189, 67, 59, 0, 2], [2, 1, 53, 82, 168, 224, 154, 102, 38, 7, 1], [2, 1, 53, 83, 161, 245, 119, 137, 17, 14, 0], [2, 1, 54, 75, 189, 189, 189, 81, 45, 6, 1], [2, 1, 54, 76, 182, 210, 154, 116, 24, 13, 0], [2, 1, 55, 68, 210, 154, 224, 60, 52, 5, 1], [2, 1, 55, 69, 203, 175, 189, 95, 31, 12, 0], [2, 1, 56, 61, 231, 119, 259, 39, 59, 4, 1], [2, 1, 56, 62, 224, 140, 224, 74, 38, 11, 0], [2, 1, 57, 54, 252, 84, 294, 18, 66, 3, 1], [2, 1, 57, 55, 245, 105, 259, 53, 45, 10, 0], [2, 1, 58, 48, 266, 70, 294, 32, 52, 9, 0], [2, 1, 59, 41, 287, 35, 329, 11, 59, 8, 0], [2, 2, 42, 130, 56, 378, 28, 158, 30, 4, 2], [2, 2, 43, 123, 77, 343, 63, 137, 37, 3, 2], [2, 2, 43, 124, 70, 364, 28, 172, 16, 10, 1], [2, 2, 44, 116, 98, 308, 98, 116, 44, 2, 2], [2, 2, 44, 117, 91, 329, 63, 151, 23, 9, 1], [2, 2, 44, 118, 84, 350, 28, 186, 2, 16, 0], [2, 2, 45, 109, 119, 273, 133, 95, 51, 1, 2], [2, 2, 45, 110, 112, 294, 98, 130, 30, 8, 1], [2, 2, 45, 111, 105, 315, 63, 165, 9, 15, 0], [2, 2, 46, 102, 140, 238, 168, 74, 58, 0, 2], [2, 2, 46, 103, 133, 259, 133, 109, 37, 7, 1], [2, 2, 46, 104, 126, 280, 98, 144, 16, 14, 0], [2, 2, 47, 96, 154, 224, 168, 88, 44, 6, 1], [2, 2, 47, 97, 147, 245, 133, 123, 23, 13, 0], [2, 2, 48, 89, 175, 189, 203, 67, 51, 5, 1], [2, 2, 48, 90, 168, 210, 168, 102, 30, 12, 0], [2, 2, 49, 82, 196, 154, 238, 46, 58, 4, 1], [2, 2, 49, 83, 189, 175, 203, 81, 37, 11, 0], [2, 2, 50, 75, 217, 119, 273, 25, 65, 3, 1], [2, 2, 50, 76, 210, 140, 238, 60, 44, 10, 0], [2, 2, 51, 68, 238, 84, 308, 4, 72, 2, 1], [2, 2, 51, 69, 231, 105, 273, 39, 51, 9, 0], [2, 2, 52, 62, 252, 70, 308, 18, 58, 8, 0], [2, 3, 35, 151, 21, 413, 7, 165, 29, 4, 2], [2, 3, 36, 144, 42, 378, 42, 144, 36, 3, 2], [2, 3, 36, 145, 35, 399, 7, 179, 15, 10, 1], [2, 3, 37, 137, 63, 343, 77, 123, 43, 2, 2], [2, 3, 37, 138, 56, 364, 42, 158, 22, 9, 1], [2, 3, 37, 139, 49, 385, 7, 193, 1, 16, 0], [2, 3, 38, 130, 84, 308, 112, 102, 50, 1, 2], [2, 3, 38, 131, 77, 329, 77, 137, 29, 8, 1], [2, 3, 38, 132, 70, 350, 42, 172, 8, 15, 0], [2, 3, 39, 123, 105, 273, 147, 81, 57, 0, 2], [2, 3, 39, 124, 98, 294, 112, 116, 36, 7, 1], [2, 3, 39, 125, 91, 315, 77, 151, 15, 14, 0], [2, 3, 40, 117, 119, 259, 147, 95, 43, 6, 1], [2, 3, 40, 118, 112, 280, 112, 130, 22, 13, 0], [2, 3, 41, 110, 140, 224, 182, 74, 50, 5, 1], [2, 3, 41, 111, 133, 245, 147, 109, 29, 12, 0], [2, 3, 42, 103, 161, 189, 217, 53, 57, 4, 1], [2, 3, 42, 104, 154, 210, 182, 88, 36, 11, 0], [2, 3, 43, 96, 182, 154, 252, 32, 64, 3, 1], [2, 3, 43, 97, 175, 175, 217, 67, 43, 10, 0], [2, 3, 44, 89, 203, 119, 287, 11, 71, 2, 1], [2, 3, 44, 90, 196, 140, 252, 46, 50, 9, 0], [2, 3, 45, 83, 217, 105, 287, 25, 57, 8, 0], [2, 3, 46, 76, 238, 70, 322, 4, 64, 7, 0], [2, 4, 29, 165, 7, 413, 21, 151, 35, 3, 2], [2, 4, 30, 158, 28, 378, 56, 130, 42, 2, 2], [2, 4, 30, 159, 21, 399, 21, 165, 21, 9, 1], [2, 4, 31, 151, 49, 343, 91, 109, 49, 1, 2], [2, 4, 31, 152, 42, 364, 56, 144, 28, 8, 1], [2, 4, 31, 153, 35, 385, 21, 179, 7, 15, 0], [2, 4, 32, 144, 70, 308, 126, 88, 56, 0, 2], [2, 4, 32, 145, 63, 329, 91, 123, 35, 7, 1], [2, 4, 32, 146, 56, 350, 56, 158, 14, 14, 0], [2, 4, 33, 138, 84, 294, 126, 102, 42, 6, 1], [2, 4, 33, 139, 77, 315, 91, 137, 21, 13, 0], [2, 4, 34, 131, 105, 259, 161, 81, 49, 5, 1], [2, 4, 34, 132, 98, 280, 126, 116, 28, 12, 0], [2, 4, 35, 124, 126, 224, 196, 60, 56, 4, 1], [2, 4, 35, 125, 119, 245, 161, 95, 35, 11, 0], [2, 4, 36, 117, 147, 189, 231, 39, 63, 3, 1], [2, 4, 36, 118, 140, 210, 196, 74, 42, 10, 0], [2, 4, 37, 110, 168, 154, 266, 18, 70, 2, 1], [2, 4, 37, 111, 161, 175, 231, 53, 49, 9, 0], [2, 4, 38, 104, 182, 140, 266, 32, 56, 8, 0], [2, 4, 39, 97, 203, 105, 301, 11, 63, 7, 0], [2, 5, 24, 172, 14, 378, 70, 116, 48, 1, 2], [2, 5, 24, 173, 7, 399, 35, 151, 27, 8, 1], [2, 5, 24, 174, 0, 420, 0, 186, 6, 15, 0], [2, 5, 25, 165, 35, 343, 105, 95, 55, 0, 2], [2, 5, 25, 166, 28, 364, 70, 130, 34, 7, 1], [2, 5, 25, 167, 21, 385, 35, 165, 13, 14, 0], [2, 5, 26, 159, 49, 329, 105, 109, 41, 6, 1], [2, 5, 26, 160, 42, 350, 70, 144, 20, 13, 0], [2, 5, 27, 152, 70, 294, 140, 88, 48, 5, 1], [2, 5, 27, 153, 63, 315, 105, 123, 27, 12, 0], [2, 5, 28, 145, 91, 259, 175, 67, 55, 4, 1], [2, 5, 28, 146, 84, 280, 140, 102, 34, 11, 0], [2, 5, 29, 138, 112, 224, 210, 46, 62, 3, 1], [2, 5, 29, 139, 105, 245, 175, 81, 41, 10, 0], [2, 5, 30, 131, 133, 189, 245, 25, 69, 2, 1], [2, 5, 30, 132, 126, 210, 210, 60, 48, 9, 0], [2, 5, 31, 124, 154, 154, 280, 4, 76, 1, 1], [2, 5, 31, 125, 147, 175, 245, 39, 55, 8, 0], [2, 5, 32, 118, 168, 140, 280, 18, 62, 7, 0], [2, 6, 18, 186, 0, 378, 84, 102, 54, 0, 2], [2, 6, 19, 180, 14, 364, 84, 116, 40, 6, 1], [2, 6, 19, 181, 7, 385, 49, 151, 19, 13, 0], [2, 6, 20, 173, 35, 329, 119, 95, 47, 5, 1], [2, 6, 20, 174, 28, 350, 84, 130, 26, 12, 0], [2, 6, 21, 166, 56, 294, 154, 74, 54, 4, 1], [2, 6, 21, 167, 49, 315, 119, 109, 33, 11, 0], [2, 6, 22, 159, 77, 259, 189, 53, 61, 3, 1], [2, 6, 22, 160, 70, 280, 154, 88, 40, 10, 0], [2, 6, 23, 152, 98, 224, 224, 32, 68, 2, 1], [2, 6, 23, 153, 91, 245, 189, 67, 47, 9, 0], [2, 6, 24, 145, 119, 189, 259, 11, 75, 1, 1], [2, 6, 24, 146, 112, 210, 224, 46, 54, 8, 0], [2, 6, 25, 139, 133, 175, 259, 25, 61, 7, 0], [2, 6, 26, 132, 154, 140, 294, 4, 68, 6, 0], [2, 7, 13, 194, 0, 364, 98, 102, 46, 5, 1], [2, 7, 14, 187, 21, 329, 133, 81, 53, 4, 1], [2, 7, 14, 188, 14, 350, 98, 116, 32, 11, 0], [2, 7, 15, 180, 42, 294, 168, 60, 60, 3, 1], [2, 7, 15, 181, 35, 315, 133, 95, 39, 10, 0], [2, 7, 16, 173, 63, 259, 203, 39, 67, 2, 1], [2, 7, 16, 174, 56, 280, 168, 74, 46, 9, 0], [2, 7, 17, 166, 84, 224, 238, 18, 74, 1, 1], [2, 7, 17, 167, 77, 245, 203, 53, 53, 8, 0], [2, 7, 18, 160, 98, 210, 238, 32, 60, 7, 0], [2, 7, 19, 153, 119, 175, 273, 11, 67, 6, 0], [2, 8, 8, 201, 7, 329, 147, 67, 59, 3, 1], [2, 8, 8, 202, 0, 350, 112, 102, 38, 10, 0], [2, 8, 9, 194, 28, 294, 182, 46, 66, 2, 1], [2, 8, 9, 195, 21, 315, 147, 81, 45, 9, 0], [2, 8, 10, 187, 49, 259, 217, 25, 73, 1, 1], [2, 8, 10, 188, 42, 280, 182, 60, 52, 8, 0], [2, 8, 11, 180, 70, 224, 252, 4, 80, 0, 1], [2, 8, 11, 181, 63, 245, 217, 39, 59, 7, 0], [2, 8, 12, 174, 84, 210, 252, 18, 66, 6, 0], [2, 9, 3, 208, 14, 294, 196, 32, 72, 1, 1], [2, 9, 3, 209, 7, 315, 161, 67, 51, 8, 0], [2, 9, 4, 201, 35, 259, 231, 11, 79, 0, 1], [2, 9, 4, 202, 28, 280, 196, 46, 58, 7, 0], [2, 9, 5, 195, 49, 245, 231, 25, 65, 6, 0], [2, 9, 6, 188, 70, 210, 266, 4, 72, 5, 0], [3, 0, 32, 172, 0, 392, 70, 108, 53, 0, 2], [3, 0, 33, 166, 14, 378, 70, 122, 39, 6, 1], [3, 0, 33, 167, 7, 399, 35, 157, 18, 13, 0], [3, 0, 34, 159, 35, 343, 105, 101, 46, 5, 1], [3, 0, 34, 160, 28, 364, 70, 136, 25, 12, 0], [3, 0, 35, 152, 56, 308, 140, 80, 53, 4, 1], [3, 0, 35, 153, 49, 329, 105, 115, 32, 11, 0], [3, 0, 36, 145, 77, 273, 175, 59, 60, 3, 1], [3, 0, 36, 146, 70, 294, 140, 94, 39, 10, 0], [3, 0, 37, 138, 98, 238, 210, 38, 67, 2, 1], [3, 0, 37, 139, 91, 259, 175, 73, 46, 9, 0], [3, 0, 38, 131, 119, 203, 245, 17, 74, 1, 1], [3, 0, 38, 132, 112, 224, 210, 52, 53, 8, 0], [3, 0, 39, 125, 133, 189, 245, 31, 60, 7, 0], [3, 0, 40, 118, 154, 154, 280, 10, 67, 6, 0], [3, 1, 27, 180, 0, 378, 84, 108, 45, 5, 1], [3, 1, 28, 173, 21, 343, 119, 87, 52, 4, 1], [3, 1, 28, 174, 14, 364, 84, 122, 31, 11, 0], [3, 1, 29, 166, 42, 308, 154, 66, 59, 3, 1], [3, 1, 29, 167, 35, 329, 119, 101, 38, 10, 0], [3, 1, 30, 159, 63, 273, 189, 45, 66, 2, 1], [3, 1, 30, 160, 56, 294, 154, 80, 45, 9, 0], [3, 1, 31, 152, 84, 238, 224, 24, 73, 1, 1], [3, 1, 31, 153, 77, 259, 189, 59, 52, 8, 0], [3, 1, 32, 145, 105, 203, 259, 3, 80, 0, 1], [3, 1, 32, 146, 98, 224, 224, 38, 59, 7, 0], [3, 1, 33, 139, 119, 189, 259, 17, 66, 6, 0], [3, 2, 22, 187, 7, 343, 133, 73, 58, 3, 1], [3, 2, 22, 188, 0, 364, 98, 108, 37, 10, 0], [3, 2, 23, 180, 28, 308, 168, 52, 65, 2, 1], [3, 2, 23, 181, 21, 329, 133, 87, 44, 9, 0], [3, 2, 24, 173, 49, 273, 203, 31, 72, 1, 1], [3, 2, 24, 174, 42, 294, 168, 66, 51, 8, 0], [3, 2, 25, 166, 70, 238, 238, 10, 79, 0, 1], [3, 2, 25, 167, 63, 259, 203, 45, 58, 7, 0], [3, 2, 26, 160, 84, 224, 238, 24, 65, 6, 0], [3, 2, 27, 153, 105, 189, 273, 3, 72, 5, 0], [3, 3, 17, 194, 14, 308, 182, 38, 71, 1, 1], [3, 3, 17, 195, 7, 329, 147, 73, 50, 8, 0], [3, 3, 18, 187, 35, 273, 217, 17, 78, 0, 1], [3, 3, 18, 188, 28, 294, 182, 52, 57, 7, 0], [3, 3, 19, 181, 49, 259, 217, 31, 64, 6, 0], [3, 3, 20, 174, 70, 224, 252, 10, 71, 5, 0], [3, 4, 11, 208, 0, 308, 196, 24, 77, 0, 1], [3, 4, 12, 202, 14, 294, 196, 38, 63, 6, 0], [3, 4, 13, 195, 35, 259, 231, 17, 70, 5, 0], [3, 5, 6, 216, 0, 294, 210, 24, 69, 5, 0], [3, 5, 7, 209, 21, 259, 245, 3, 76, 4, 0]} (11, 832, 6) has 1200 possible DDs: {[1, 0, 27, 101, 15, 343, 119, 93, 124, 5, 2, 2], [1, 0, 27, 102, 8, 364, 84, 128, 103, 12, 1, 2], [1, 0, 27, 103, 1, 385, 49, 163, 82, 19, 0, 2], [1, 0, 28, 94, 36, 308, 154, 72, 131, 4, 2, 2], [1, 0, 28, 95, 29, 329, 119, 107, 110, 11, 1, 2], [1, 0, 28, 96, 22, 350, 84, 142, 89, 18, 0, 2], [1, 0, 28, 97, 16, 364, 70, 142, 103, 4, 6, 1], [1, 0, 28, 98, 9, 385, 35, 177, 82, 11, 5, 1], [1, 0, 28, 99, 2, 406, 0, 212, 61, 18, 4, 1], [1, 0, 29, 87, 57, 273, 189, 51, 138, 3, 2, 2], [1, 0, 29, 88, 50, 294, 154, 86, 117, 10, 1, 2], [1, 0, 29, 89, 43, 315, 119, 121, 96, 17, 0, 2], [1, 0, 29, 90, 37, 329, 105, 121, 110, 3, 6, 1], [1, 0, 29, 91, 30, 350, 70, 156, 89, 10, 5, 1], [1, 0, 29, 92, 23, 371, 35, 191, 68, 17, 4, 1], [1, 0, 29, 93, 16, 392, 0, 226, 47, 24, 3, 1], [1, 0, 29, 93, 17, 385, 21, 191, 82, 3, 10, 0], [1, 0, 30, 80, 78, 238, 224, 30, 145, 2, 2, 2], [1, 0, 30, 81, 71, 259, 189, 65, 124, 9, 1, 2], [1, 0, 30, 82, 64, 280, 154, 100, 103, 16, 0, 2], [1, 0, 30, 83, 58, 294, 140, 100, 117, 2, 6, 1], [1, 0, 30, 84, 51, 315, 105, 135, 96, 9, 5, 1], [1, 0, 30, 85, 44, 336, 70, 170, 75, 16, 4, 1], [1, 0, 30, 86, 37, 357, 35, 205, 54, 23, 3, 1], [1, 0, 30, 86, 38, 350, 56, 170, 89, 2, 10, 0], [1, 0, 30, 87, 30, 378, 0, 240, 33, 30, 2, 1], [1, 0, 30, 87, 31, 371, 21, 205, 68, 9, 9, 0], [1, 0, 31, 73, 99, 203, 259, 9, 152, 1, 2, 2], [1, 0, 31, 74, 92, 224, 224, 44, 131, 8, 1, 2], [1, 0, 31, 75, 85, 245, 189, 79, 110, 15, 0, 2], [1, 0, 31, 76, 79, 259, 175, 79, 124, 1, 6, 1], [1, 0, 31, 77, 72, 280, 140, 114, 103, 8, 5, 1], [1, 0, 31, 78, 65, 301, 105, 149, 82, 15, 4, 1], [1, 0, 31, 79, 58, 322, 70, 184, 61, 22, 3, 1], [1, 0, 31, 79, 59, 315, 91, 149, 96, 1, 10, 0], [1, 0, 31, 80, 51, 343, 35, 219, 40, 29, 2, 1], [1, 0, 31, 80, 52, 336, 56, 184, 75, 8, 9, 0], [1, 0, 31, 81, 44, 364, 0, 254, 19, 36, 1, 1], [1, 0, 31, 81, 45, 357, 21, 219, 54, 15, 8, 0], [1, 0, 32, 67, 113, 189, 259, 23, 138, 7, 1, 2], [1, 0, 32, 68, 106, 210, 224, 58, 117, 14, 0, 2], [1, 0, 32, 69, 100, 224, 210, 58, 131, 0, 6, 1], [1, 0, 32, 70, 93, 245, 175, 93, 110, 7, 5, 1], [1, 0, 32, 71, 86, 266, 140, 128, 89, 14, 4, 1], [1, 0, 32, 72, 79, 287, 105, 163, 68, 21, 3, 1], [1, 0, 32, 72, 80, 280, 126, 128, 103, 0, 10, 0], [1, 0, 32, 73, 72, 308, 70, 198, 47, 28, 2, 1], [1, 0, 32, 73, 73, 301, 91, 163, 82, 7, 9, 0], [1, 0, 32, 74, 65, 329, 35, 233, 26, 35, 1, 1], [1, 0, 32, 74, 66, 322, 56, 198, 61, 14, 8, 0], [1, 0, 32, 75, 58, 350, 0, 268, 5, 42, 0, 1], [1, 0, 32, 75, 59, 343, 21, 233, 40, 21, 7, 0], [1, 0, 33, 60, 134, 154, 294, 2, 145, 6, 1, 2], [1, 0, 33, 61, 127, 175, 259, 37, 124, 13, 0, 2], [1, 0, 33, 63, 114, 210, 210, 72, 117, 6, 5, 1], [1, 0, 33, 64, 107, 231, 175, 107, 96, 13, 4, 1], [1, 0, 33, 65, 100, 252, 140, 142, 75, 20, 3, 1], [1, 0, 33, 66, 93, 273, 105, 177, 54, 27, 2, 1], [1, 0, 33, 66, 94, 266, 126, 142, 89, 6, 9, 0], [1, 0, 33, 67, 86, 294, 70, 212, 33, 34, 1, 1], [1, 0, 33, 67, 87, 287, 91, 177, 68, 13, 8, 0], [1, 0, 33, 68, 79, 315, 35, 247, 12, 41, 0, 1], [1, 0, 33, 68, 80, 308, 56, 212, 47, 20, 7, 0], [1, 0, 33, 69, 73, 329, 21, 247, 26, 27, 6, 0], [1, 0, 34, 54, 148, 140, 294, 16, 131, 12, 0, 2], [1, 0, 34, 56, 135, 175, 245, 51, 124, 5, 5, 1], [1, 0, 34, 57, 128, 196, 210, 86, 103, 12, 4, 1], [1, 0, 34, 58, 121, 217, 175, 121, 82, 19, 3, 1], [1, 0, 34, 59, 114, 238, 140, 156, 61, 26, 2, 1], [1, 0, 34, 59, 115, 231, 161, 121, 96, 5, 9, 0], [1, 0, 34, 60, 107, 259, 105, 191, 40, 33, 1, 1], [1, 0, 34, 60, 108, 252, 126, 156, 75, 12, 8, 0], [1, 0, 34, 61, 100, 280, 70, 226, 19, 40, 0, 1], [1, 0, 34, 61, 101, 273, 91, 191, 54, 19, 7, 0], [1, 0, 34, 62, 94, 294, 56, 226, 33, 26, 6, 0], [1, 0, 34, 63, 87, 315, 21, 261, 12, 33, 5, 0], [1, 0, 35, 49, 156, 140, 280, 30, 131, 4, 5, 1], [1, 0, 35, 50, 149, 161, 245, 65, 110, 11, 4, 1], [1, 0, 35, 51, 142, 182, 210, 100, 89, 18, 3, 1], [1, 0, 35, 52, 135, 203, 175, 135, 68, 25, 2, 1], [1, 0, 35, 52, 136, 196, 196, 100, 103, 4, 9, 0], [1, 0, 35, 53, 128, 224, 140, 170, 47, 32, 1, 1], [1, 0, 35, 53, 129, 217, 161, 135, 82, 11, 8, 0], [1, 0, 35, 54, 121, 245, 105, 205, 26, 39, 0, 1], [1, 0, 35, 54, 122, 238, 126, 170, 61, 18, 7, 0], [1, 0, 35, 55, 115, 259, 91, 205, 40, 25, 6, 0], [1, 0, 35, 56, 108, 280, 56, 240, 19, 32, 5, 0], [1, 0, 36, 42, 177, 105, 315, 9, 138, 3, 5, 1], [1, 0, 36, 43, 170, 126, 280, 44, 117, 10, 4, 1], [1, 0, 36, 44, 163, 147, 245, 79, 96, 17, 3, 1], [1, 0, 36, 45, 156, 168, 210, 114, 75, 24, 2, 1], [1, 0, 36, 45, 157, 161, 231, 79, 110, 3, 9, 0], [1, 0, 36, 46, 149, 189, 175, 149, 54, 31, 1, 1], [1, 0, 36, 46, 150, 182, 196, 114, 89, 10, 8, 0], [1, 0, 36, 47, 142, 210, 140, 184, 33, 38, 0, 1], [1, 0, 36, 47, 143, 203, 161, 149, 68, 17, 7, 0], [1, 0, 36, 48, 136, 224, 126, 184, 47, 24, 6, 0], [1, 0, 36, 49, 129, 245, 91, 219, 26, 31, 5, 0], [1, 0, 36, 50, 122, 266, 56, 254, 5, 38, 4, 0], [1, 0, 37, 36, 191, 91, 315, 23, 124, 9, 4, 1], [1, 0, 37, 37, 184, 112, 280, 58, 103, 16, 3, 1], [1, 0, 37, 38, 177, 133, 245, 93, 82, 23, 2, 1], [1, 0, 37, 38, 178, 126, 266, 58, 117, 2, 9, 0], [1, 0, 37, 39, 170, 154, 210, 128, 61, 30, 1, 1], [1, 0, 37, 39, 171, 147, 231, 93, 96, 9, 8, 0], [1, 0, 37, 40, 163, 175, 175, 163, 40, 37, 0, 1], [1, 0, 37, 40, 164, 168, 196, 128, 75, 16, 7, 0], [1, 0, 37, 41, 157, 189, 161, 163, 54, 23, 6, 0], [1, 0, 37, 42, 150, 210, 126, 198, 33, 30, 5, 0], [1, 0, 37, 43, 143, 231, 91, 233, 12, 37, 4, 0], [1, 0, 38, 29, 212, 56, 350, 2, 131, 8, 4, 1], [1, 0, 38, 30, 205, 77, 315, 37, 110, 15, 3, 1], [1, 0, 38, 31, 198, 98, 280, 72, 89, 22, 2, 1], [1, 0, 38, 31, 199, 91, 301, 37, 124, 1, 9, 0], [1, 0, 38, 32, 191, 119, 245, 107, 68, 29, 1, 1], [1, 0, 38, 32, 192, 112, 266, 72, 103, 8, 8, 0], [1, 0, 38, 33, 184, 140, 210, 142, 47, 36, 0, 1], [1, 0, 38, 33, 185, 133, 231, 107, 82, 15, 7, 0], [1, 0, 38, 34, 178, 154, 196, 142, 61, 22, 6, 0], [1, 0, 38, 35, 171, 175, 161, 177, 40, 29, 5, 0], [1, 0, 38, 36, 164, 196, 126, 212, 19, 36, 4, 0], [1, 0, 39, 23, 226, 42, 350, 16, 117, 14, 3, 1], [1, 0, 39, 24, 219, 63, 315, 51, 96, 21, 2, 1], [1, 0, 39, 24, 220, 56, 336, 16, 131, 0, 9, 0], [1, 0, 39, 25, 212, 84, 280, 86, 75, 28, 1, 1], [1, 0, 39, 25, 213, 77, 301, 51, 110, 7, 8, 0], [1, 0, 39, 26, 205, 105, 245, 121, 54, 35, 0, 1], [1, 0, 39, 26, 206, 98, 266, 86, 89, 14, 7, 0], [1, 0, 39, 27, 199, 119, 231, 121, 68, 21, 6, 0], [1, 0, 39, 28, 192, 140, 196, 156, 47, 28, 5, 0], [1, 0, 39, 29, 185, 161, 161, 191, 26, 35, 4, 0], [1, 0, 39, 30, 178, 182, 126, 226, 5, 42, 3, 0], [1, 0, 40, 17, 240, 28, 350, 30, 103, 20, 2, 1], [1, 0, 40, 18, 233, 49, 315, 65, 82, 27, 1, 1], [1, 0, 40, 18, 234, 42, 336, 30, 117, 6, 8, 0], [1, 0, 40, 19, 226, 70, 280, 100, 61, 34, 0, 1], [1, 0, 40, 19, 227, 63, 301, 65, 96, 13, 7, 0], [1, 0, 40, 20, 220, 84, 266, 100, 75, 20, 6, 0], [1, 0, 40, 21, 213, 105, 231, 135, 54, 27, 5, 0], [1, 0, 40, 22, 206, 126, 196, 170, 33, 34, 4, 0], [1, 0, 40, 23, 199, 147, 161, 205, 12, 41, 3, 0], [1, 0, 41, 11, 254, 14, 350, 44, 89, 26, 1, 1], [1, 0, 41, 11, 255, 7, 371, 9, 124, 5, 8, 0], [1, 0, 41, 12, 247, 35, 315, 79, 68, 33, 0, 1], [1, 0, 41, 12, 248, 28, 336, 44, 103, 12, 7, 0], [1, 0, 41, 13, 241, 49, 301, 79, 82, 19, 6, 0], [1, 0, 41, 14, 234, 70, 266, 114, 61, 26, 5, 0], [1, 0, 41, 15, 227, 91, 231, 149, 40, 33, 4, 0], [1, 0, 41, 16, 220, 112, 196, 184, 19, 40, 3, 0], [1, 0, 42, 5, 268, 0, 350, 58, 75, 32, 0, 1], [1, 0, 42, 6, 262, 14, 336, 58, 89, 18, 6, 0], [1, 0, 42, 7, 255, 35, 301, 93, 68, 25, 5, 0], [1, 0, 42, 8, 248, 56, 266, 128, 47, 32, 4, 0], [1, 0, 42, 9, 241, 77, 231, 163, 26, 39, 3, 0], [1, 0, 42, 10, 234, 98, 196, 198, 5, 46, 2, 0], [1, 0, 43, 0, 276, 0, 336, 72, 75, 24, 5, 0], [1, 0, 43, 1, 269, 21, 301, 107, 54, 31, 4, 0], [1, 0, 43, 2, 262, 42, 266, 142, 33, 38, 3, 0], [1, 0, 43, 3, 255, 63, 231, 177, 12, 45, 2, 0], [1, 1, 21, 115, 1, 343, 133, 79, 130, 4, 2, 2], [1, 1, 22, 108, 22, 308, 168, 58, 137, 3, 2, 2], [1, 1, 22, 109, 15, 329, 133, 93, 116, 10, 1, 2], [1, 1, 22, 110, 8, 350, 98, 128, 95, 17, 0, 2], [1, 1, 22, 111, 2, 364, 84, 128, 109, 3, 6, 1], [1, 1, 23, 101, 43, 273, 203, 37, 144, 2, 2, 2], [1, 1, 23, 102, 36, 294, 168, 72, 123, 9, 1, 2], [1, 1, 23, 103, 29, 315, 133, 107, 102, 16, 0, 2], [1, 1, 23, 104, 23, 329, 119, 107, 116, 2, 6, 1], [1, 1, 23, 105, 16, 350, 84, 142, 95, 9, 5, 1], [1, 1, 23, 106, 9, 371, 49, 177, 74, 16, 4, 1], [1, 1, 23, 107, 2, 392, 14, 212, 53, 23, 3, 1], [1, 1, 23, 107, 3, 385, 35, 177, 88, 2, 10, 0], [1, 1, 24, 94, 64, 238, 238, 16, 151, 1, 2, 2], [1, 1, 24, 95, 57, 259, 203, 51, 130, 8, 1, 2], [1, 1, 24, 96, 50, 280, 168, 86, 109, 15, 0, 2], [1, 1, 24, 97, 44, 294, 154, 86, 123, 1, 6, 1], [1, 1, 24, 98, 37, 315, 119, 121, 102, 8, 5, 1], [1, 1, 24, 99, 30, 336, 84, 156, 81, 15, 4, 1], [1, 1, 24, 100, 23, 357, 49, 191, 60, 22, 3, 1], [1, 1, 24, 100, 24, 350, 70, 156, 95, 1, 10, 0], [1, 1, 24, 101, 16, 378, 14, 226, 39, 29, 2, 1], [1, 1, 24, 101, 17, 371, 35, 191, 74, 8, 9, 0], [1, 1, 24, 102, 10, 392, 0, 226, 53, 15, 8, 0], [1, 1, 25, 88, 78, 224, 238, 30, 137, 7, 1, 2], [1, 1, 25, 89, 71, 245, 203, 65, 116, 14, 0, 2], [1, 1, 25, 90, 65, 259, 189, 65, 130, 0, 6, 1], [1, 1, 25, 91, 58, 280, 154, 100, 109, 7, 5, 1], [1, 1, 25, 92, 51, 301, 119, 135, 88, 14, 4, 1], [1, 1, 25, 93, 44, 322, 84, 170, 67, 21, 3, 1], [1, 1, 25, 93, 45, 315, 105, 135, 102, 0, 10, 0], [1, 1, 25, 94, 37, 343, 49, 205, 46, 28, 2, 1], [1, 1, 25, 94, 38, 336, 70, 170, 81, 7, 9, 0], [1, 1, 25, 95, 30, 364, 14, 240, 25, 35, 1, 1], [1, 1, 25, 95, 31, 357, 35, 205, 60, 14, 8, 0], [1, 1, 25, 96, 24, 378, 0, 240, 39, 21, 7, 0], [1, 1, 26, 81, 99, 189, 273, 9, 144, 6, 1, 2], [1, 1, 26, 82, 92, 210, 238, 44, 123, 13, 0, 2], [1, 1, 26, 84, 79, 245, 189, 79, 116, 6, 5, 1], [1, 1, 26, 85, 72, 266, 154, 114, 95, 13, 4, 1], [1, 1, 26, 86, 65, 287, 119, 149, 74, 20, 3, 1], [1, 1, 26, 87, 58, 308, 84, 184, 53, 27, 2, 1], [1, 1, 26, 87, 59, 301, 105, 149, 88, 6, 9, 0], [1, 1, 26, 88, 51, 329, 49, 219, 32, 34, 1, 1], [1, 1, 26, 88, 52, 322, 70, 184, 67, 13, 8, 0], [1, 1, 26, 89, 44, 350, 14, 254, 11, 41, 0, 1], [1, 1, 26, 89, 45, 343, 35, 219, 46, 20, 7, 0], [1, 1, 26, 90, 38, 364, 0, 254, 25, 27, 6, 0], [1, 1, 27, 75, 113, 175, 273, 23, 130, 12, 0, 2], [1, 1, 27, 77, 100, 210, 224, 58, 123, 5, 5, 1], [1, 1, 27, 78, 93, 231, 189, 93, 102, 12, 4, 1], [1, 1, 27, 79, 86, 252, 154, 128, 81, 19, 3, 1], [1, 1, 27, 80, 79, 273, 119, 163, 60, 26, 2, 1], [1, 1, 27, 80, 80, 266, 140, 128, 95, 5, 9, 0], [1, 1, 27, 81, 72, 294, 84, 198, 39, 33, 1, 1], [1, 1, 27, 81, 73, 287, 105, 163, 74, 12, 8, 0], [1, 1, 27, 82, 65, 315, 49, 233, 18, 40, 0, 1], [1, 1, 27, 82, 66, 308, 70, 198, 53, 19, 7, 0], [1, 1, 27, 83, 59, 329, 35, 233, 32, 26, 6, 0], [1, 1, 27, 84, 52, 350, 0, 268, 11, 33, 5, 0], [1, 1, 28, 68, 134, 140, 308, 2, 137, 11, 0, 2], [1, 1, 28, 70, 121, 175, 259, 37, 130, 4, 5, 1], [1, 1, 28, 71, 114, 196, 224, 72, 109, 11, 4, 1], [1, 1, 28, 72, 107, 217, 189, 107, 88, 18, 3, 1], [1, 1, 28, 73, 100, 238, 154, 142, 67, 25, 2, 1], [1, 1, 28, 73, 101, 231, 175, 107, 102, 4, 9, 0], [1, 1, 28, 74, 93, 259, 119, 177, 46, 32, 1, 1], [1, 1, 28, 74, 94, 252, 140, 142, 81, 11, 8, 0], [1, 1, 28, 75, 86, 280, 84, 212, 25, 39, 0, 1], [1, 1, 28, 75, 87, 273, 105, 177, 60, 18, 7, 0], [1, 1, 28, 76, 80, 294, 70, 212, 39, 25, 6, 0], [1, 1, 28, 77, 73, 315, 35, 247, 18, 32, 5, 0], [1, 1, 29, 63, 142, 140, 294, 16, 137, 3, 5, 1], [1, 1, 29, 64, 135, 161, 259, 51, 116, 10, 4, 1], [1, 1, 29, 65, 128, 182, 224, 86, 95, 17, 3, 1], [1, 1, 29, 66, 121, 203, 189, 121, 74, 24, 2, 1], [1, 1, 29, 66, 122, 196, 210, 86, 109, 3, 9, 0], [1, 1, 29, 67, 114, 224, 154, 156, 53, 31, 1, 1], [1, 1, 29, 67, 115, 217, 175, 121, 88, 10, 8, 0], [1, 1, 29, 68, 107, 245, 119, 191, 32, 38, 0, 1], [1, 1, 29, 68, 108, 238, 140, 156, 67, 17, 7, 0], [1, 1, 29, 69, 101, 259, 105, 191, 46, 24, 6, 0], [1, 1, 29, 70, 94, 280, 70, 226, 25, 31, 5, 0], [1, 1, 29, 71, 87, 301, 35, 261, 4, 38, 4, 0], [1, 1, 30, 57, 156, 126, 294, 30, 123, 9, 4, 1], [1, 1, 30, 58, 149, 147, 259, 65, 102, 16, 3, 1], [1, 1, 30, 59, 142, 168, 224, 100, 81, 23, 2, 1], [1, 1, 30, 59, 143, 161, 245, 65, 116, 2, 9, 0], [1, 1, 30, 60, 135, 189, 189, 135, 60, 30, 1, 1], [1, 1, 30, 60, 136, 182, 210, 100, 95, 9, 8, 0], [1, 1, 30, 61, 128, 210, 154, 170, 39, 37, 0, 1], [1, 1, 30, 61, 129, 203, 175, 135, 74, 16, 7, 0], [1, 1, 30, 62, 122, 224, 140, 170, 53, 23, 6, 0], [1, 1, 30, 63, 115, 245, 105, 205, 32, 30, 5, 0], [1, 1, 30, 64, 108, 266, 70, 240, 11, 37, 4, 0], [1, 1, 31, 50, 177, 91, 329, 9, 130, 8, 4, 1], [1, 1, 31, 51, 170, 112, 294, 44, 109, 15, 3, 1], [1, 1, 31, 52, 163, 133, 259, 79, 88, 22, 2, 1], [1, 1, 31, 52, 164, 126, 280, 44, 123, 1, 9, 0], [1, 1, 31, 53, 156, 154, 224, 114, 67, 29, 1, 1], [1, 1, 31, 53, 157, 147, 245, 79, 102, 8, 8, 0], [1, 1, 31, 54, 149, 175, 189, 149, 46, 36, 0, 1], [1, 1, 31, 54, 150, 168, 210, 114, 81, 15, 7, 0], [1, 1, 31, 55, 143, 189, 175, 149, 60, 22, 6, 0], [1, 1, 31, 56, 136, 210, 140, 184, 39, 29, 5, 0], [1, 1, 31, 57, 129, 231, 105, 219, 18, 36, 4, 0], [1, 1, 32, 44, 191, 77, 329, 23, 116, 14, 3, 1], [1, 1, 32, 45, 184, 98, 294, 58, 95, 21, 2, 1], [1, 1, 32, 45, 185, 91, 315, 23, 130, 0, 9, 0], [1, 1, 32, 46, 177, 119, 259, 93, 74, 28, 1, 1], [1, 1, 32, 46, 178, 112, 280, 58, 109, 7, 8, 0], [1, 1, 32, 47, 170, 140, 224, 128, 53, 35, 0, 1], [1, 1, 32, 47, 171, 133, 245, 93, 88, 14, 7, 0], [1, 1, 32, 48, 164, 154, 210, 128, 67, 21, 6, 0], [1, 1, 32, 49, 157, 175, 175, 163, 46, 28, 5, 0], [1, 1, 32, 50, 150, 196, 140, 198, 25, 35, 4, 0], [1, 1, 32, 51, 143, 217, 105, 233, 4, 42, 3, 0], [1, 1, 33, 37, 212, 42, 364, 2, 123, 13, 3, 1], [1, 1, 33, 38, 205, 63, 329, 37, 102, 20, 2, 1], [1, 1, 33, 39, 198, 84, 294, 72, 81, 27, 1, 1], [1, 1, 33, 39, 199, 77, 315, 37, 116, 6, 8, 0], [1, 1, 33, 40, 191, 105, 259, 107, 60, 34, 0, 1], [1, 1, 33, 40, 192, 98, 280, 72, 95, 13, 7, 0], [1, 1, 33, 41, 185, 119, 245, 107, 74, 20, 6, 0], [1, 1, 33, 42, 178, 140, 210, 142, 53, 27, 5, 0], [1, 1, 33, 43, 171, 161, 175, 177, 32, 34, 4, 0], [1, 1, 33, 44, 164, 182, 140, 212, 11, 41, 3, 0], [1, 1, 34, 31, 226, 28, 364, 16, 109, 19, 2, 1], [1, 1, 34, 32, 219, 49, 329, 51, 88, 26, 1, 1], [1, 1, 34, 32, 220, 42, 350, 16, 123, 5, 8, 0], [1, 1, 34, 33, 212, 70, 294, 86, 67, 33, 0, 1], [1, 1, 34, 33, 213, 63, 315, 51, 102, 12, 7, 0], [1, 1, 34, 34, 206, 84, 280, 86, 81, 19, 6, 0], [1, 1, 34, 35, 199, 105, 245, 121, 60, 26, 5, 0], [1, 1, 34, 36, 192, 126, 210, 156, 39, 33, 4, 0], [1, 1, 34, 37, 185, 147, 175, 191, 18, 40, 3, 0], [1, 1, 35, 25, 240, 14, 364, 30, 95, 25, 1, 1], [1, 1, 35, 26, 233, 35, 329, 65, 74, 32, 0, 1], [1, 1, 35, 26, 234, 28, 350, 30, 109, 11, 7, 0], [1, 1, 35, 27, 227, 49, 315, 65, 88, 18, 6, 0], [1, 1, 35, 28, 220, 70, 280, 100, 67, 25, 5, 0], [1, 1, 35, 29, 213, 91, 245, 135, 46, 32, 4, 0], [1, 1, 35, 30, 206, 112, 210, 170, 25, 39, 3, 0], [1, 1, 35, 31, 199, 133, 175, 205, 4, 46, 2, 0], [1, 1, 36, 19, 254, 0, 364, 44, 81, 31, 0, 1], [1, 1, 36, 20, 248, 14, 350, 44, 95, 17, 6, 0], [1, 1, 36, 21, 241, 35, 315, 79, 74, 24, 5, 0], [1, 1, 36, 22, 234, 56, 280, 114, 53, 31, 4, 0], [1, 1, 36, 23, 227, 77, 245, 149, 32, 38, 3, 0], [1, 1, 36, 24, 220, 98, 210, 184, 11, 45, 2, 0], [1, 1, 37, 14, 262, 0, 350, 58, 81, 23, 5, 0], [1, 1, 37, 15, 255, 21, 315, 93, 60, 30, 4, 0], [1, 1, 37, 16, 248, 42, 280, 128, 39, 37, 3, 0], [1, 1, 37, 17, 241, 63, 245, 163, 18, 44, 2, 0], [1, 1, 38, 9, 269, 7, 315, 107, 46, 36, 3, 0], [1, 1, 38, 10, 262, 28, 280, 142, 25, 43, 2, 0], [1, 1, 38, 11, 255, 49, 245, 177, 4, 50, 1, 0], [1, 1, 39, 4, 276, 14, 280, 156, 11, 49, 1, 0], [1, 2, 16, 122, 8, 308, 182, 44, 143, 2, 2, 2], [1, 2, 16, 123, 1, 329, 147, 79, 122, 9, 1, 2], [1, 2, 17, 115, 29, 273, 217, 23, 150, 1, 2, 2], [1, 2, 17, 116, 22, 294, 182, 58, 129, 8, 1, 2], [1, 2, 17, 117, 15, 315, 147, 93, 108, 15, 0, 2], [1, 2, 17, 118, 9, 329, 133, 93, 122, 1, 6, 1], [1, 2, 17, 119, 2, 350, 98, 128, 101, 8, 5, 1], [1, 2, 18, 108, 50, 238, 252, 2, 157, 0, 2, 2], [1, 2, 18, 109, 43, 259, 217, 37, 136, 7, 1, 2], [1, 2, 18, 110, 36, 280, 182, 72, 115, 14, 0, 2], [1, 2, 18, 111, 30, 294, 168, 72, 129, 0, 6, 1], [1, 2, 18, 112, 23, 315, 133, 107, 108, 7, 5, 1], [1, 2, 18, 113, 16, 336, 98, 142, 87, 14, 4, 1], [1, 2, 18, 114, 9, 357, 63, 177, 66, 21, 3, 1], [1, 2, 18, 114, 10, 350, 84, 142, 101, 0, 10, 0], [1, 2, 18, 115, 2, 378, 28, 212, 45, 28, 2, 1], [1, 2, 18, 115, 3, 371, 49, 177, 80, 7, 9, 0], [1, 2, 19, 102, 64, 224, 252, 16, 143, 6, 1, 2], [1, 2, 19, 103, 57, 245, 217, 51, 122, 13, 0, 2], [1, 2, 19, 105, 44, 280, 168, 86, 115, 6, 5, 1], [1, 2, 19, 106, 37, 301, 133, 121, 94, 13, 4, 1], [1, 2, 19, 107, 30, 322, 98, 156, 73, 20, 3, 1], [1, 2, 19, 108, 23, 343, 63, 191, 52, 27, 2, 1], [1, 2, 19, 108, 24, 336, 84, 156, 87, 6, 9, 0], [1, 2, 19, 109, 16, 364, 28, 226, 31, 34, 1, 1], [1, 2, 19, 109, 17, 357, 49, 191, 66, 13, 8, 0], [1, 2, 19, 110, 10, 378, 14, 226, 45, 20, 7, 0], [1, 2, 20, 96, 78, 210, 252, 30, 129, 12, 0, 2], [1, 2, 20, 98, 65, 245, 203, 65, 122, 5, 5, 1], [1, 2, 20, 99, 58, 266, 168, 100, 101, 12, 4, 1], [1, 2, 20, 100, 51, 287, 133, 135, 80, 19, 3, 1], [1, 2, 20, 101, 44, 308, 98, 170, 59, 26, 2, 1], [1, 2, 20, 101, 45, 301, 119, 135, 94, 5, 9, 0], [1, 2, 20, 102, 37, 329, 63, 205, 38, 33, 1, 1], [1, 2, 20, 102, 38, 322, 84, 170, 73, 12, 8, 0], [1, 2, 20, 103, 30, 350, 28, 240, 17, 40, 0, 1], [1, 2, 20, 103, 31, 343, 49, 205, 52, 19, 7, 0], [1, 2, 20, 104, 24, 364, 14, 240, 31, 26, 6, 0], [1, 2, 21, 89, 99, 175, 287, 9, 136, 11, 0, 2], [1, 2, 21, 91, 86, 210, 238, 44, 129, 4, 5, 1], [1, 2, 21, 92, 79, 231, 203, 79, 108, 11, 4, 1], [1, 2, 21, 93, 72, 252, 168, 114, 87, 18, 3, 1], [1, 2, 21, 94, 65, 273, 133, 149, 66, 25, 2, 1], [1, 2, 21, 94, 66, 266, 154, 114, 101, 4, 9, 0], [1, 2, 21, 95, 58, 294, 98, 184, 45, 32, 1, 1], [1, 2, 21, 95, 59, 287, 119, 149, 80, 11, 8, 0], [1, 2, 21, 96, 51, 315, 63, 219, 24, 39, 0, 1], [1, 2, 21, 96, 52, 308, 84, 184, 59, 18, 7, 0], [1, 2, 21, 97, 45, 329, 49, 219, 38, 25, 6, 0], [1, 2, 21, 98, 38, 350, 14, 254, 17, 32, 5, 0], [1, 2, 22, 84, 107, 175, 273, 23, 136, 3, 5, 1], [1, 2, 22, 85, 100, 196, 238, 58, 115, 10, 4, 1], [1, 2, 22, 86, 93, 217, 203, 93, 94, 17, 3, 1], [1, 2, 22, 87, 86, 238, 168, 128, 73, 24, 2, 1], [1, 2, 22, 87, 87, 231, 189, 93, 108, 3, 9, 0], [1, 2, 22, 88, 79, 259, 133, 163, 52, 31, 1, 1], [1, 2, 22, 88, 80, 252, 154, 128, 87, 10, 8, 0], [1, 2, 22, 89, 72, 280, 98, 198, 31, 38, 0, 1], [1, 2, 22, 89, 73, 273, 119, 163, 66, 17, 7, 0], [1, 2, 22, 90, 66, 294, 84, 198, 45, 24, 6, 0], [1, 2, 22, 91, 59, 315, 49, 233, 24, 31, 5, 0], [1, 2, 22, 92, 52, 336, 14, 268, 3, 38, 4, 0], [1, 2, 23, 77, 128, 140, 308, 2, 143, 2, 5, 1], [1, 2, 23, 78, 121, 161, 273, 37, 122, 9, 4, 1], [1, 2, 23, 79, 114, 182, 238, 72, 101, 16, 3, 1], [1, 2, 23, 80, 107, 203, 203, 107, 80, 23, 2, 1], [1, 2, 23, 80, 108, 196, 224, 72, 115, 2, 9, 0], [1, 2, 23, 81, 100, 224, 168, 142, 59, 30, 1, 1], [1, 2, 23, 81, 101, 217, 189, 107, 94, 9, 8, 0], [1, 2, 23, 82, 93, 245, 133, 177, 38, 37, 0, 1], [1, 2, 23, 82, 94, 238, 154, 142, 73, 16, 7, 0], [1, 2, 23, 83, 87, 259, 119, 177, 52, 23, 6, 0], [1, 2, 23, 84, 80, 280, 84, 212, 31, 30, 5, 0], [1, 2, 23, 85, 73, 301, 49, 247, 10, 37, 4, 0], [1, 2, 24, 71, 142, 126, 308, 16, 129, 8, 4, 1], [1, 2, 24, 72, 135, 147, 273, 51, 108, 15, 3, 1], [1, 2, 24, 73, 128, 168, 238, 86, 87, 22, 2, 1], [1, 2, 24, 73, 129, 161, 259, 51, 122, 1, 9, 0], [1, 2, 24, 74, 121, 189, 203, 121, 66, 29, 1, 1], [1, 2, 24, 74, 122, 182, 224, 86, 101, 8, 8, 0], [1, 2, 24, 75, 114, 210, 168, 156, 45, 36, 0, 1], [1, 2, 24, 75, 115, 203, 189, 121, 80, 15, 7, 0], [1, 2, 24, 76, 108, 224, 154, 156, 59, 22, 6, 0], [1, 2, 24, 77, 101, 245, 119, 191, 38, 29, 5, 0], [1, 2, 24, 78, 94, 266, 84, 226, 17, 36, 4, 0], [1, 2, 25, 65, 156, 112, 308, 30, 115, 14, 3, 1], [1, 2, 25, 66, 149, 133, 273, 65, 94, 21, 2, 1], [1, 2, 25, 66, 150, 126, 294, 30, 129, 0, 9, 0], [1, 2, 25, 67, 142, 154, 238, 100, 73, 28, 1, 1], [1, 2, 25, 67, 143, 147, 259, 65, 108, 7, 8, 0], [1, 2, 25, 68, 135, 175, 203, 135, 52, 35, 0, 1], [1, 2, 25, 68, 136, 168, 224, 100, 87, 14, 7, 0], [1, 2, 25, 69, 129, 189, 189, 135, 66, 21, 6, 0], [1, 2, 25, 70, 122, 210, 154, 170, 45, 28, 5, 0], [1, 2, 25, 71, 115, 231, 119, 205, 24, 35, 4, 0], [1, 2, 25, 72, 108, 252, 84, 240, 3, 42, 3, 0], [1, 2, 26, 58, 177, 77, 343, 9, 122, 13, 3, 1], [1, 2, 26, 59, 170, 98, 308, 44, 101, 20, 2, 1], [1, 2, 26, 60, 163, 119, 273, 79, 80, 27, 1, 1], [1, 2, 26, 60, 164, 112, 294, 44, 115, 6, 8, 0], [1, 2, 26, 61, 156, 140, 238, 114, 59, 34, 0, 1], [1, 2, 26, 61, 157, 133, 259, 79, 94, 13, 7, 0], [1, 2, 26, 62, 150, 154, 224, 114, 73, 20, 6, 0], [1, 2, 26, 63, 143, 175, 189, 149, 52, 27, 5, 0], [1, 2, 26, 64, 136, 196, 154, 184, 31, 34, 4, 0], [1, 2, 26, 65, 129, 217, 119, 219, 10, 41, 3, 0], [1, 2, 27, 52, 191, 63, 343, 23, 108, 19, 2, 1], [1, 2, 27, 53, 184, 84, 308, 58, 87, 26, 1, 1], [1, 2, 27, 53, 185, 77, 329, 23, 122, 5, 8, 0], [1, 2, 27, 54, 177, 105, 273, 93, 66, 33, 0, 1], [1, 2, 27, 54, 178, 98, 294, 58, 101, 12, 7, 0], [1, 2, 27, 55, 171, 119, 259, 93, 80, 19, 6, 0], [1, 2, 27, 56, 164, 140, 224, 128, 59, 26, 5, 0], [1, 2, 27, 57, 157, 161, 189, 163, 38, 33, 4, 0], [1, 2, 27, 58, 150, 182, 154, 198, 17, 40, 3, 0], [1, 2, 28, 45, 212, 28, 378, 2, 115, 18, 2, 1], [1, 2, 28, 46, 205, 49, 343, 37, 94, 25, 1, 1], [1, 2, 28, 46, 206, 42, 364, 2, 129, 4, 8, 0], [1, 2, 28, 47, 198, 70, 308, 72, 73, 32, 0, 1], [1, 2, 28, 47, 199, 63, 329, 37, 108, 11, 7, 0], [1, 2, 28, 48, 192, 84, 294, 72, 87, 18, 6, 0], [1, 2, 28, 49, 185, 105, 259, 107, 66, 25, 5, 0], [1, 2, 28, 50, 178, 126, 224, 142, 45, 32, 4, 0], [1, 2, 28, 51, 171, 147, 189, 177, 24, 39, 3, 0], [1, 2, 28, 52, 164, 168, 154, 212, 3, 46, 2, 0], [1, 2, 29, 39, 226, 14, 378, 16, 101, 24, 1, 1], [1, 2, 29, 40, 219, 35, 343, 51, 80, 31, 0, 1], [1, 2, 29, 40, 220, 28, 364, 16, 115, 10, 7, 0], [1, 2, 29, 41, 213, 49, 329, 51, 94, 17, 6, 0], [1, 2, 29, 42, 206, 70, 294, 86, 73, 24, 5, 0], [1, 2, 29, 43, 199, 91, 259, 121, 52, 31, 4, 0], [1, 2, 29, 44, 192, 112, 224, 156, 31, 38, 3, 0], [1, 2, 29, 45, 185, 133, 189, 191, 10, 45, 2, 0], [1, 2, 30, 33, 240, 0, 378, 30, 87, 30, 0, 1], [1, 2, 30, 34, 234, 14, 364, 30, 101, 16, 6, 0], [1, 2, 30, 35, 227, 35, 329, 65, 80, 23, 5, 0], [1, 2, 30, 36, 220, 56, 294, 100, 59, 30, 4, 0], [1, 2, 30, 37, 213, 77, 259, 135, 38, 37, 3, 0], [1, 2, 30, 38, 206, 98, 224, 170, 17, 44, 2, 0], [1, 2, 31, 28, 248, 0, 364, 44, 87, 22, 5, 0], [1, 2, 31, 29, 241, 21, 329, 79, 66, 29, 4, 0], [1, 2, 31, 30, 234, 42, 294, 114, 45, 36, 3, 0], [1, 2, 31, 31, 227, 63, 259, 149, 24, 43, 2, 0], [1, 2, 31, 32, 220, 84, 224, 184, 3, 50, 1, 0], [1, 2, 32, 23, 255, 7, 329, 93, 52, 35, 3, 0], [1, 2, 32, 24, 248, 28, 294, 128, 31, 42, 2, 0], [1, 2, 32, 25, 241, 49, 259, 163, 10, 49, 1, 0], [1, 2, 33, 18, 262, 14, 294, 142, 17, 48, 1, 0], [1, 2, 34, 12, 276, 0, 294, 156, 3, 54, 0, 0], [1, 3, 11, 129, 15, 273, 231, 9, 156, 0, 2, 2], [1, 3, 11, 130, 8, 294, 196, 44, 135, 7, 1, 2], [1, 3, 11, 131, 1, 315, 161, 79, 114, 14, 0, 2], [1, 3, 12, 123, 29, 259, 231, 23, 142, 6, 1, 2], [1, 3, 12, 124, 22, 280, 196, 58, 121, 13, 0, 2], [1, 3, 12, 126, 9, 315, 147, 93, 114, 6, 5, 1], [1, 3, 12, 127, 2, 336, 112, 128, 93, 13, 4, 1], [1, 3, 13, 116, 50, 224, 266, 2, 149, 5, 1, 2], [1, 3, 13, 117, 43, 245, 231, 37, 128, 12, 0, 2], [1, 3, 13, 119, 30, 280, 182, 72, 121, 5, 5, 1], [1, 3, 13, 120, 23, 301, 147, 107, 100, 12, 4, 1], [1, 3, 13, 121, 16, 322, 112, 142, 79, 19, 3, 1], [1, 3, 13, 122, 9, 343, 77, 177, 58, 26, 2, 1], [1, 3, 13, 122, 10, 336, 98, 142, 93, 5, 9, 0], [1, 3, 13, 123, 2, 364, 42, 212, 37, 33, 1, 1], [1, 3, 13, 123, 3, 357, 63, 177, 72, 12, 8, 0], [1, 3, 14, 110, 64, 210, 266, 16, 135, 11, 0, 2], [1, 3, 14, 112, 51, 245, 217, 51, 128, 4, 5, 1], [1, 3, 14, 113, 44, 266, 182, 86, 107, 11, 4, 1], [1, 3, 14, 114, 37, 287, 147, 121, 86, 18, 3, 1], [1, 3, 14, 115, 30, 308, 112, 156, 65, 25, 2, 1], [1, 3, 14, 115, 31, 301, 133, 121, 100, 4, 9, 0], [1, 3, 14, 116, 23, 329, 77, 191, 44, 32, 1, 1], [1, 3, 14, 116, 24, 322, 98, 156, 79, 11, 8, 0], [1, 3, 14, 117, 16, 350, 42, 226, 23, 39, 0, 1], [1, 3, 14, 117, 17, 343, 63, 191, 58, 18, 7, 0], [1, 3, 14, 118, 10, 364, 28, 226, 37, 25, 6, 0], [1, 3, 15, 105, 72, 210, 252, 30, 135, 3, 5, 1], [1, 3, 15, 106, 65, 231, 217, 65, 114, 10, 4, 1], [1, 3, 15, 107, 58, 252, 182, 100, 93, 17, 3, 1], [1, 3, 15, 108, 51, 273, 147, 135, 72, 24, 2, 1], [1, 3, 15, 108, 52, 266, 168, 100, 107, 3, 9, 0], [1, 3, 15, 109, 44, 294, 112, 170, 51, 31, 1, 1], [1, 3, 15, 109, 45, 287, 133, 135, 86, 10, 8, 0], [1, 3, 15, 110, 37, 315, 77, 205, 30, 38, 0, 1], [1, 3, 15, 110, 38, 308, 98, 170, 65, 17, 7, 0], [1, 3, 15, 111, 31, 329, 63, 205, 44, 24, 6, 0], [1, 3, 15, 112, 24, 350, 28, 240, 23, 31, 5, 0], [1, 3, 16, 98, 93, 175, 287, 9, 142, 2, 5, 1], [1, 3, 16, 99, 86, 196, 252, 44, 121, 9, 4, 1], [1, 3, 16, 100, 79, 217, 217, 79, 100, 16, 3, 1], [1, 3, 16, 101, 72, 238, 182, 114, 79, 23, 2, 1], [1, 3, 16, 101, 73, 231, 203, 79, 114, 2, 9, 0], [1, 3, 16, 102, 65, 259, 147, 149, 58, 30, 1, 1], [1, 3, 16, 102, 66, 252, 168, 114, 93, 9, 8, 0], [1, 3, 16, 103, 58, 280, 112, 184, 37, 37, 0, 1], [1, 3, 16, 103, 59, 273, 133, 149, 72, 16, 7, 0], [1, 3, 16, 104, 52, 294, 98, 184, 51, 23, 6, 0], [1, 3, 16, 105, 45, 315, 63, 219, 30, 30, 5, 0], [1, 3, 16, 106, 38, 336, 28, 254, 9, 37, 4, 0], [1, 3, 17, 92, 107, 161, 287, 23, 128, 8, 4, 1], [1, 3, 17, 93, 100, 182, 252, 58, 107, 15, 3, 1], [1, 3, 17, 94, 93, 203, 217, 93, 86, 22, 2, 1], [1, 3, 17, 94, 94, 196, 238, 58, 121, 1, 9, 0], [1, 3, 17, 95, 86, 224, 182, 128, 65, 29, 1, 1], [1, 3, 17, 95, 87, 217, 203, 93, 100, 8, 8, 0], [1, 3, 17, 96, 79, 245, 147, 163, 44, 36, 0, 1], [1, 3, 17, 96, 80, 238, 168, 128, 79, 15, 7, 0], [1, 3, 17, 97, 73, 259, 133, 163, 58, 22, 6, 0], [1, 3, 17, 98, 66, 280, 98, 198, 37, 29, 5, 0], [1, 3, 17, 99, 59, 301, 63, 233, 16, 36, 4, 0], [1, 3, 18, 85, 128, 126, 322, 2, 135, 7, 4, 1], [1, 3, 18, 86, 121, 147, 287, 37, 114, 14, 3, 1], [1, 3, 18, 87, 114, 168, 252, 72, 93, 21, 2, 1], [1, 3, 18, 87, 115, 161, 273, 37, 128, 0, 9, 0], [1, 3, 18, 88, 107, 189, 217, 107, 72, 28, 1, 1], [1, 3, 18, 88, 108, 182, 238, 72, 107, 7, 8, 0], [1, 3, 18, 89, 100, 210, 182, 142, 51, 35, 0, 1], [1, 3, 18, 89, 101, 203, 203, 107, 86, 14, 7, 0], [1, 3, 18, 90, 94, 224, 168, 142, 65, 21, 6, 0], [1, 3, 18, 91, 87, 245, 133, 177, 44, 28, 5, 0], [1, 3, 18, 92, 80, 266, 98, 212, 23, 35, 4, 0], [1, 3, 18, 93, 73, 287, 63, 247, 2, 42, 3, 0], [1, 3, 19, 79, 142, 112, 322, 16, 121, 13, 3, 1], [1, 3, 19, 80, 135, 133, 287, 51, 100, 20, 2, 1], [1, 3, 19, 81, 128, 154, 252, 86, 79, 27, 1, 1], [1, 3, 19, 81, 129, 147, 273, 51, 114, 6, 8, 0], [1, 3, 19, 82, 121, 175, 217, 121, 58, 34, 0, 1], [1, 3, 19, 82, 122, 168, 238, 86, 93, 13, 7, 0], [1, 3, 19, 83, 115, 189, 203, 121, 72, 20, 6, 0], [1, 3, 19, 84, 108, 210, 168, 156, 51, 27, 5, 0], [1, 3, 19, 85, 101, 231, 133, 191, 30, 34, 4, 0], [1, 3, 19, 86, 94, 252, 98, 226, 9, 41, 3, 0], [1, 3, 20, 73, 156, 98, 322, 30, 107, 19, 2, 1], [1, 3, 20, 74, 149, 119, 287, 65, 86, 26, 1, 1], [1, 3, 20, 74, 150, 112, 308, 30, 121, 5, 8, 0], [1, 3, 20, 75, 142, 140, 252, 100, 65, 33, 0, 1], [1, 3, 20, 75, 143, 133, 273, 65, 100, 12, 7, 0], [1, 3, 20, 76, 136, 154, 238, 100, 79, 19, 6, 0], [1, 3, 20, 77, 129, 175, 203, 135, 58, 26, 5, 0], [1, 3, 20, 78, 122, 196, 168, 170, 37, 33, 4, 0], [1, 3, 20, 79, 115, 217, 133, 205, 16, 40, 3, 0], [1, 3, 21, 66, 177, 63, 357, 9, 114, 18, 2, 1], [1, 3, 21, 67, 170, 84, 322, 44, 93, 25, 1, 1], [1, 3, 21, 67, 171, 77, 343, 9, 128, 4, 8, 0], [1, 3, 21, 68, 163, 105, 287, 79, 72, 32, 0, 1], [1, 3, 21, 68, 164, 98, 308, 44, 107, 11, 7, 0], [1, 3, 21, 69, 157, 119, 273, 79, 86, 18, 6, 0], [1, 3, 21, 70, 150, 140, 238, 114, 65, 25, 5, 0], [1, 3, 21, 71, 143, 161, 203, 149, 44, 32, 4, 0], [1, 3, 21, 72, 136, 182, 168, 184, 23, 39, 3, 0], [1, 3, 21, 73, 129, 203, 133, 219, 2, 46, 2, 0], [1, 3, 22, 60, 191, 49, 357, 23, 100, 24, 1, 1], [1, 3, 22, 61, 184, 70, 322, 58, 79, 31, 0, 1], [1, 3, 22, 61, 185, 63, 343, 23, 114, 10, 7, 0], [1, 3, 22, 62, 178, 84, 308, 58, 93, 17, 6, 0], [1, 3, 22, 63, 171, 105, 273, 93, 72, 24, 5, 0], [1, 3, 22, 64, 164, 126, 238, 128, 51, 31, 4, 0], [1, 3, 22, 65, 157, 147, 203, 163, 30, 38, 3, 0], [1, 3, 22, 66, 150, 168, 168, 198, 9, 45, 2, 0], [1, 3, 23, 53, 212, 14, 392, 2, 107, 23, 1, 1], [1, 3, 23, 54, 205, 35, 357, 37, 86, 30, 0, 1], [1, 3, 23, 54, 206, 28, 378, 2, 121, 9, 7, 0], [1, 3, 23, 55, 199, 49, 343, 37, 100, 16, 6, 0], [1, 3, 23, 56, 192, 70, 308, 72, 79, 23, 5, 0], [1, 3, 23, 57, 185, 91, 273, 107, 58, 30, 4, 0], [1, 3, 23, 58, 178, 112, 238, 142, 37, 37, 3, 0], [1, 3, 23, 59, 171, 133, 203, 177, 16, 44, 2, 0], [1, 3, 24, 47, 226, 0, 392, 16, 93, 29, 0, 1], [1, 3, 24, 48, 220, 14, 378, 16, 107, 15, 6, 0], [1, 3, 24, 49, 213, 35, 343, 51, 86, 22, 5, 0], [1, 3, 24, 50, 206, 56, 308, 86, 65, 29, 4, 0], [1, 3, 24, 51, 199, 77, 273, 121, 44, 36, 3, 0], [1, 3, 24, 52, 192, 98, 238, 156, 23, 43, 2, 0], [1, 3, 24, 53, 185, 119, 203, 191, 2, 50, 1, 0], [1, 3, 25, 42, 234, 0, 378, 30, 93, 21, 5, 0], [1, 3, 25, 43, 227, 21, 343, 65, 72, 28, 4, 0], [1, 3, 25, 44, 220, 42, 308, 100, 51, 35, 3, 0], [1, 3, 25, 45, 213, 63, 273, 135, 30, 42, 2, 0], [1, 3, 25, 46, 206, 84, 238, 170, 9, 49, 1, 0], [1, 3, 26, 37, 241, 7, 343, 79, 58, 34, 3, 0], [1, 3, 26, 38, 234, 28, 308, 114, 37, 41, 2, 0], [1, 3, 26, 39, 227, 49, 273, 149, 16, 48, 1, 0], [1, 3, 27, 32, 248, 14, 308, 128, 23, 47, 1, 0], [1, 3, 27, 33, 241, 35, 273, 163, 2, 54, 0, 0], [1, 3, 28, 26, 262, 0, 308, 142, 9, 53, 0, 0], [1, 4, 6, 137, 15, 259, 245, 9, 148, 5, 1, 2], [1, 4, 6, 138, 8, 280, 210, 44, 127, 12, 0, 2], [1, 4, 7, 131, 29, 245, 245, 23, 134, 11, 0, 2], [1, 4, 7, 133, 16, 280, 196, 58, 127, 4, 5, 1], [1, 4, 7, 134, 9, 301, 161, 93, 106, 11, 4, 1], [1, 4, 7, 135, 2, 322, 126, 128, 85, 18, 3, 1], [1, 4, 8, 124, 50, 210, 280, 2, 141, 10, 0, 2], [1, 4, 8, 126, 37, 245, 231, 37, 134, 3, 5, 1], [1, 4, 8, 127, 30, 266, 196, 72, 113, 10, 4, 1], [1, 4, 8, 128, 23, 287, 161, 107, 92, 17, 3, 1], [1, 4, 8, 129, 16, 308, 126, 142, 71, 24, 2, 1], [1, 4, 8, 129, 17, 301, 147, 107, 106, 3, 9, 0], [1, 4, 8, 130, 9, 329, 91, 177, 50, 31, 1, 1], [1, 4, 8, 130, 10, 322, 112, 142, 85, 10, 8, 0], [1, 4, 8, 131, 2, 350, 56, 212, 29, 38, 0, 1], [1, 4, 8, 131, 3, 343, 77, 177, 64, 17, 7, 0], [1, 4, 9, 119, 58, 210, 266, 16, 141, 2, 5, 1], [1, 4, 9, 120, 51, 231, 231, 51, 120, 9, 4, 1], [1, 4, 9, 121, 44, 252, 196, 86, 99, 16, 3, 1], [1, 4, 9, 122, 37, 273, 161, 121, 78, 23, 2, 1], [1, 4, 9, 122, 38, 266, 182, 86, 113, 2, 9, 0], [1, 4, 9, 123, 30, 294, 126, 156, 57, 30, 1, 1], [1, 4, 9, 123, 31, 287, 147, 121, 92, 9, 8, 0], [1, 4, 9, 124, 23, 315, 91, 191, 36, 37, 0, 1], [1, 4, 9, 124, 24, 308, 112, 156, 71, 16, 7, 0], [1, 4, 9, 125, 17, 329, 77, 191, 50, 23, 6, 0], [1, 4, 9, 126, 10, 350, 42, 226, 29, 30, 5, 0], [1, 4, 9, 127, 3, 371, 7, 261, 8, 37, 4, 0], [1, 4, 10, 113, 72, 196, 266, 30, 127, 8, 4, 1], [1, 4, 10, 114, 65, 217, 231, 65, 106, 15, 3, 1], [1, 4, 10, 115, 58, 238, 196, 100, 85, 22, 2, 1], [1, 4, 10, 115, 59, 231, 217, 65, 120, 1, 9, 0], [1, 4, 10, 116, 51, 259, 161, 135, 64, 29, 1, 1], [1, 4, 10, 116, 52, 252, 182, 100, 99, 8, 8, 0], [1, 4, 10, 117, 44, 280, 126, 170, 43, 36, 0, 1], [1, 4, 10, 117, 45, 273, 147, 135, 78, 15, 7, 0], [1, 4, 10, 118, 38, 294, 112, 170, 57, 22, 6, 0], [1, 4, 10, 119, 31, 315, 77, 205, 36, 29, 5, 0], [1, 4, 10, 120, 24, 336, 42, 240, 15, 36, 4, 0], [1, 4, 11, 106, 93, 161, 301, 9, 134, 7, 4, 1], [1, 4, 11, 107, 86, 182, 266, 44, 113, 14, 3, 1], [1, 4, 11, 108, 79, 203, 231, 79, 92, 21, 2, 1], [1, 4, 11, 108, 80, 196, 252, 44, 127, 0, 9, 0], [1, 4, 11, 109, 72, 224, 196, 114, 71, 28, 1, 1], [1, 4, 11, 109, 73, 217, 217, 79, 106, 7, 8, 0], [1, 4, 11, 110, 65, 245, 161, 149, 50, 35, 0, 1], [1, 4, 11, 110, 66, 238, 182, 114, 85, 14, 7, 0], [1, 4, 11, 111, 59, 259, 147, 149, 64, 21, 6, 0], [1, 4, 11, 112, 52, 280, 112, 184, 43, 28, 5, 0], [1, 4, 11, 113, 45, 301, 77, 219, 22, 35, 4, 0], [1, 4, 11, 114, 38, 322, 42, 254, 1, 42, 3, 0], [1, 4, 12, 100, 107, 147, 301, 23, 120, 13, 3, 1], [1, 4, 12, 101, 100, 168, 266, 58, 99, 20, 2, 1], [1, 4, 12, 102, 93, 189, 231, 93, 78, 27, 1, 1], [1, 4, 12, 102, 94, 182, 252, 58, 113, 6, 8, 0], [1, 4, 12, 103, 86, 210, 196, 128, 57, 34, 0, 1], [1, 4, 12, 103, 87, 203, 217, 93, 92, 13, 7, 0], [1, 4, 12, 104, 80, 224, 182, 128, 71, 20, 6, 0], [1, 4, 12, 105, 73, 245, 147, 163, 50, 27, 5, 0], [1, 4, 12, 106, 66, 266, 112, 198, 29, 34, 4, 0], [1, 4, 12, 107, 59, 287, 77, 233, 8, 41, 3, 0], [1, 4, 13, 93, 128, 112, 336, 2, 127, 12, 3, 1], [1, 4, 13, 94, 121, 133, 301, 37, 106, 19, 2, 1], [1, 4, 13, 95, 114, 154, 266, 72, 85, 26, 1, 1], [1, 4, 13, 95, 115, 147, 287, 37, 120, 5, 8, 0], [1, 4, 13, 96, 107, 175, 231, 107, 64, 33, 0, 1], [1, 4, 13, 96, 108, 168, 252, 72, 99, 12, 7, 0], [1, 4, 13, 97, 101, 189, 217, 107, 78, 19, 6, 0], [1, 4, 13, 98, 94, 210, 182, 142, 57, 26, 5, 0], [1, 4, 13, 99, 87, 231, 147, 177, 36, 33, 4, 0], [1, 4, 13, 100, 80, 252, 112, 212, 15, 40, 3, 0], [1, 4, 14, 87, 142, 98, 336, 16, 113, 18, 2, 1], [1, 4, 14, 88, 135, 119, 301, 51, 92, 25, 1, 1], [1, 4, 14, 88, 136, 112, 322, 16, 127, 4, 8, 0], [1, 4, 14, 89, 128, 140, 266, 86, 71, 32, 0, 1], [1, 4, 14, 89, 129, 133, 287, 51, 106, 11, 7, 0], [1, 4, 14, 90, 122, 154, 252, 86, 85, 18, 6, 0], [1, 4, 14, 91, 115, 175, 217, 121, 64, 25, 5, 0], [1, 4, 14, 92, 108, 196, 182, 156, 43, 32, 4, 0], [1, 4, 14, 93, 101, 217, 147, 191, 22, 39, 3, 0], [1, 4, 14, 94, 94, 238, 112, 226, 1, 46, 2, 0], [1, 4, 15, 81, 156, 84, 336, 30, 99, 24, 1, 1], [1, 4, 15, 82, 149, 105, 301, 65, 78, 31, 0, 1], [1, 4, 15, 82, 150, 98, 322, 30, 113, 10, 7, 0], [1, 4, 15, 83, 143, 119, 287, 65, 92, 17, 6, 0], [1, 4, 15, 84, 136, 140, 252, 100, 71, 24, 5, 0], [1, 4, 15, 85, 129, 161, 217, 135, 50, 31, 4, 0], [1, 4, 15, 86, 122, 182, 182, 170, 29, 38, 3, 0], [1, 4, 15, 87, 115, 203, 147, 205, 8, 45, 2, 0], [1, 4, 16, 74, 177, 49, 371, 9, 106, 23, 1, 1], [1, 4, 16, 75, 170, 70, 336, 44, 85, 30, 0, 1], [1, 4, 16, 75, 171, 63, 357, 9, 120, 9, 7, 0], [1, 4, 16, 76, 164, 84, 322, 44, 99, 16, 6, 0], [1, 4, 16, 77, 157, 105, 287, 79, 78, 23, 5, 0], [1, 4, 16, 78, 150, 126, 252, 114, 57, 30, 4, 0], [1, 4, 16, 79, 143, 147, 217, 149, 36, 37, 3, 0], [1, 4, 16, 80, 136, 168, 182, 184, 15, 44, 2, 0], [1, 4, 17, 68, 191, 35, 371, 23, 92, 29, 0, 1], [1, 4, 17, 69, 185, 49, 357, 23, 106, 15, 6, 0], [1, 4, 17, 70, 178, 70, 322, 58, 85, 22, 5, 0], [1, 4, 17, 71, 171, 91, 287, 93, 64, 29, 4, 0], [1, 4, 17, 72, 164, 112, 252, 128, 43, 36, 3, 0], [1, 4, 17, 73, 157, 133, 217, 163, 22, 43, 2, 0], [1, 4, 17, 74, 150, 154, 182, 198, 1, 50, 1, 0], [1, 4, 18, 61, 212, 0, 406, 2, 99, 28, 0, 1], [1, 4, 18, 62, 206, 14, 392, 2, 113, 14, 6, 0], [1, 4, 18, 63, 199, 35, 357, 37, 92, 21, 5, 0], [1, 4, 18, 64, 192, 56, 322, 72, 71, 28, 4, 0], [1, 4, 18, 65, 185, 77, 287, 107, 50, 35, 3, 0], [1, 4, 18, 66, 178, 98, 252, 142, 29, 42, 2, 0], [1, 4, 18, 67, 171, 119, 217, 177, 8, 49, 1, 0], [1, 4, 19, 56, 220, 0, 392, 16, 99, 20, 5, 0], [1, 4, 19, 57, 213, 21, 357, 51, 78, 27, 4, 0], [1, 4, 19, 58, 206, 42, 322, 86, 57, 34, 3, 0], [1, 4, 19, 59, 199, 63, 287, 121, 36, 41, 2, 0], [1, 4, 19, 60, 192, 84, 252, 156, 15, 48, 1, 0], [1, 4, 20, 51, 227, 7, 357, 65, 64, 33, 3, 0], [1, 4, 20, 52, 220, 28, 322, 100, 43, 40, 2, 0], [1, 4, 20, 53, 213, 49, 287, 135, 22, 47, 1, 0], [1, 4, 20, 54, 206, 70, 252, 170, 1, 54, 0, 0], [1, 4, 21, 46, 234, 14, 322, 114, 29, 46, 1, 0], [1, 4, 21, 47, 227, 35, 287, 149, 8, 53, 0, 0], [1, 4, 22, 40, 248, 0, 322, 128, 15, 52, 0, 0], [1, 5, 1, 145, 15, 245, 259, 9, 140, 10, 0, 2], [1, 5, 1, 147, 2, 280, 210, 44, 133, 3, 5, 1], [1, 5, 2, 140, 23, 245, 245, 23, 140, 2, 5, 1], [1, 5, 2, 141, 16, 266, 210, 58, 119, 9, 4, 1], [1, 5, 2, 142, 9, 287, 175, 93, 98, 16, 3, 1], [1, 5, 2, 143, 2, 308, 140, 128, 77, 23, 2, 1], [1, 5, 2, 143, 3, 301, 161, 93, 112, 2, 9, 0], [1, 5, 3, 133, 44, 210, 280, 2, 147, 1, 5, 1], [1, 5, 3, 134, 37, 231, 245, 37, 126, 8, 4, 1], [1, 5, 3, 135, 30, 252, 210, 72, 105, 15, 3, 1], [1, 5, 3, 136, 23, 273, 175, 107, 84, 22, 2, 1], [1, 5, 3, 136, 24, 266, 196, 72, 119, 1, 9, 0], [1, 5, 3, 137, 16, 294, 140, 142, 63, 29, 1, 1], [1, 5, 3, 137, 17, 287, 161, 107, 98, 8, 8, 0], [1, 5, 3, 138, 9, 315, 105, 177, 42, 36, 0, 1], [1, 5, 3, 138, 10, 308, 126, 142, 77, 15, 7, 0], [1, 5, 3, 139, 3, 329, 91, 177, 56, 22, 6, 0], [1, 5, 4, 127, 58, 196, 280, 16, 133, 7, 4, 1], [1, 5, 4, 128, 51, 217, 245, 51, 112, 14, 3, 1], [1, 5, 4, 129, 44, 238, 210, 86, 91, 21, 2, 1], [1, 5, 4, 129, 45, 231, 231, 51, 126, 0, 9, 0], [1, 5, 4, 130, 37, 259, 175, 121, 70, 28, 1, 1], [1, 5, 4, 130, 38, 252, 196, 86, 105, 7, 8, 0], [1, 5, 4, 131, 30, 280, 140, 156, 49, 35, 0, 1], [1, 5, 4, 131, 31, 273, 161, 121, 84, 14, 7, 0], [1, 5, 4, 132, 24, 294, 126, 156, 63, 21, 6, 0], [1, 5, 4, 133, 17, 315, 91, 191, 42, 28, 5, 0], [1, 5, 4, 134, 10, 336, 56, 226, 21, 35, 4, 0], [1, 5, 4, 135, 3, 357, 21, 261, 0, 42, 3, 0], [1, 5, 5, 121, 72, 182, 280, 30, 119, 13, 3, 1], [1, 5, 5, 122, 65, 203, 245, 65, 98, 20, 2, 1], [1, 5, 5, 123, 58, 224, 210, 100, 77, 27, 1, 1], [1, 5, 5, 123, 59, 217, 231, 65, 112, 6, 8, 0], [1, 5, 5, 124, 51, 245, 175, 135, 56, 34, 0, 1], [1, 5, 5, 124, 52, 238, 196, 100, 91, 13, 7, 0], [1, 5, 5, 125, 45, 259, 161, 135, 70, 20, 6, 0], [1, 5, 5, 126, 38, 280, 126, 170, 49, 27, 5, 0], [1, 5, 5, 127, 31, 301, 91, 205, 28, 34, 4, 0], [1, 5, 5, 128, 24, 322, 56, 240, 7, 41, 3, 0], [1, 5, 6, 114, 93, 147, 315, 9, 126, 12, 3, 1], [1, 5, 6, 115, 86, 168, 280, 44, 105, 19, 2, 1], [1, 5, 6, 116, 79, 189, 245, 79, 84, 26, 1, 1], [1, 5, 6, 116, 80, 182, 266, 44, 119, 5, 8, 0], [1, 5, 6, 117, 72, 210, 210, 114, 63, 33, 0, 1], [1, 5, 6, 117, 73, 203, 231, 79, 98, 12, 7, 0], [1, 5, 6, 118, 66, 224, 196, 114, 77, 19, 6, 0], [1, 5, 6, 119, 59, 245, 161, 149, 56, 26, 5, 0], [1, 5, 6, 120, 52, 266, 126, 184, 35, 33, 4, 0], [1, 5, 6, 121, 45, 287, 91, 219, 14, 40, 3, 0], [1, 5, 7, 108, 107, 133, 315, 23, 112, 18, 2, 1], [1, 5, 7, 109, 100, 154, 280, 58, 91, 25, 1, 1], [1, 5, 7, 109, 101, 147, 301, 23, 126, 4, 8, 0], [1, 5, 7, 110, 93, 175, 245, 93, 70, 32, 0, 1], [1, 5, 7, 110, 94, 168, 266, 58, 105, 11, 7, 0], [1, 5, 7, 111, 87, 189, 231, 93, 84, 18, 6, 0], [1, 5, 7, 112, 80, 210, 196, 128, 63, 25, 5, 0], [1, 5, 7, 113, 73, 231, 161, 163, 42, 32, 4, 0], [1, 5, 7, 114, 66, 252, 126, 198, 21, 39, 3, 0], [1, 5, 7, 115, 59, 273, 91, 233, 0, 46, 2, 0], [1, 5, 8, 101, 128, 98, 350, 2, 119, 17, 2, 1], [1, 5, 8, 102, 121, 119, 315, 37, 98, 24, 1, 1], [1, 5, 8, 102, 122, 112, 336, 2, 133, 3, 8, 0], [1, 5, 8, 103, 114, 140, 280, 72, 77, 31, 0, 1], [1, 5, 8, 103, 115, 133, 301, 37, 112, 10, 7, 0], [1, 5, 8, 104, 108, 154, 266, 72, 91, 17, 6, 0], [1, 5, 8, 105, 101, 175, 231, 107, 70, 24, 5, 0], [1, 5, 8, 106, 94, 196, 196, 142, 49, 31, 4, 0], [1, 5, 8, 107, 87, 217, 161, 177, 28, 38, 3, 0], [1, 5, 8, 108, 80, 238, 126, 212, 7, 45, 2, 0], [1, 5, 9, 95, 142, 84, 350, 16, 105, 23, 1, 1], [1, 5, 9, 96, 135, 105, 315, 51, 84, 30, 0, 1], [1, 5, 9, 96, 136, 98, 336, 16, 119, 9, 7, 0], [1, 5, 9, 97, 129, 119, 301, 51, 98, 16, 6, 0], [1, 5, 9, 98, 122, 140, 266, 86, 77, 23, 5, 0], [1, 5, 9, 99, 115, 161, 231, 121, 56, 30, 4, 0], [1, 5, 9, 100, 108, 182, 196, 156, 35, 37, 3, 0], [1, 5, 9, 101, 101, 203, 161, 191, 14, 44, 2, 0], [1, 5, 10, 89, 156, 70, 350, 30, 91, 29, 0, 1], [1, 5, 10, 90, 150, 84, 336, 30, 105, 15, 6, 0], [1, 5, 10, 91, 143, 105, 301, 65, 84, 22, 5, 0], [1, 5, 10, 92, 136, 126, 266, 100, 63, 29, 4, 0], [1, 5, 10, 93, 129, 147, 231, 135, 42, 36, 3, 0], [1, 5, 10, 94, 122, 168, 196, 170, 21, 43, 2, 0], [1, 5, 10, 95, 115, 189, 161, 205, 0, 50, 1, 0], [1, 5, 11, 82, 177, 35, 385, 9, 98, 28, 0, 1], [1, 5, 11, 83, 171, 49, 371, 9, 112, 14, 6, 0], [1, 5, 11, 84, 164, 70, 336, 44, 91, 21, 5, 0], [1, 5, 11, 85, 157, 91, 301, 79, 70, 28, 4, 0], [1, 5, 11, 86, 150, 112, 266, 114, 49, 35, 3, 0], [1, 5, 11, 87, 143, 133, 231, 149, 28, 42, 2, 0], [1, 5, 11, 88, 136, 154, 196, 184, 7, 49, 1, 0], [1, 5, 12, 77, 185, 35, 371, 23, 98, 20, 5, 0], [1, 5, 12, 78, 178, 56, 336, 58, 77, 27, 4, 0], [1, 5, 12, 79, 171, 77, 301, 93, 56, 34, 3, 0], [1, 5, 12, 80, 164, 98, 266, 128, 35, 41, 2, 0], [1, 5, 12, 81, 157, 119, 231, 163, 14, 48, 1, 0], [1, 5, 13, 70, 206, 0, 406, 2, 105, 19, 5, 0], [1, 5, 13, 71, 199, 21, 371, 37, 84, 26, 4, 0], [1, 5, 13, 72, 192, 42, 336, 72, 63, 33, 3, 0], [1, 5, 13, 73, 185, 63, 301, 107, 42, 40, 2, 0], [1, 5, 13, 74, 178, 84, 266, 142, 21, 47, 1, 0], [1, 5, 13, 75, 171, 105, 231, 177, 0, 54, 0, 0], [1, 5, 14, 65, 213, 7, 371, 51, 70, 32, 3, 0], [1, 5, 14, 66, 206, 28, 336, 86, 49, 39, 2, 0], [1, 5, 14, 67, 199, 49, 301, 121, 28, 46, 1, 0], [1, 5, 14, 68, 192, 70, 266, 156, 7, 53, 0, 0], [1, 5, 15, 60, 220, 14, 336, 100, 35, 45, 1, 0], [1, 5, 15, 61, 213, 35, 301, 135, 14, 52, 0, 0], [1, 5, 16, 54, 234, 0, 336, 114, 21, 51, 0, 0], [1, 6, 0, 129, 72, 168, 294, 30, 111, 18, 2, 1], [1, 6, 0, 130, 65, 189, 259, 65, 90, 25, 1, 1], [1, 6, 0, 130, 66, 182, 280, 30, 125, 4, 8, 0], [1, 6, 0, 131, 58, 210, 224, 100, 69, 32, 0, 1], [1, 6, 0, 131, 59, 203, 245, 65, 104, 11, 7, 0], [1, 6, 0, 132, 52, 224, 210, 100, 83, 18, 6, 0], [1, 6, 0, 133, 45, 245, 175, 135, 62, 25, 5, 0], [1, 6, 0, 134, 38, 266, 140, 170, 41, 32, 4, 0], [1, 6, 0, 135, 31, 287, 105, 205, 20, 39, 3, 0], [1, 6, 1, 122, 93, 133, 329, 9, 118, 17, 2, 1], [1, 6, 1, 123, 86, 154, 294, 44, 97, 24, 1, 1], [1, 6, 1, 123, 87, 147, 315, 9, 132, 3, 8, 0], [1, 6, 1, 124, 79, 175, 259, 79, 76, 31, 0, 1], [1, 6, 1, 124, 80, 168, 280, 44, 111, 10, 7, 0], [1, 6, 1, 125, 73, 189, 245, 79, 90, 17, 6, 0], [1, 6, 1, 126, 66, 210, 210, 114, 69, 24, 5, 0], [1, 6, 1, 127, 59, 231, 175, 149, 48, 31, 4, 0], [1, 6, 1, 128, 52, 252, 140, 184, 27, 38, 3, 0], [1, 6, 1, 129, 45, 273, 105, 219, 6, 45, 2, 0], [1, 6, 2, 116, 107, 119, 329, 23, 104, 23, 1, 1], [1, 6, 2, 117, 100, 140, 294, 58, 83, 30, 0, 1], [1, 6, 2, 117, 101, 133, 315, 23, 118, 9, 7, 0], [1, 6, 2, 118, 94, 154, 280, 58, 97, 16, 6, 0], [1, 6, 2, 119, 87, 175, 245, 93, 76, 23, 5, 0], [1, 6, 2, 120, 80, 196, 210, 128, 55, 30, 4, 0], [1, 6, 2, 121, 73, 217, 175, 163, 34, 37, 3, 0], [1, 6, 2, 122, 66, 238, 140, 198, 13, 44, 2, 0], [1, 6, 3, 109, 128, 84, 364, 2, 111, 22, 1, 1], [1, 6, 3, 110, 121, 105, 329, 37, 90, 29, 0, 1], [1, 6, 3, 110, 122, 98, 350, 2, 125, 8, 7, 0], [1, 6, 3, 111, 115, 119, 315, 37, 104, 15, 6, 0], [1, 6, 3, 112, 108, 140, 280, 72, 83, 22, 5, 0], [1, 6, 3, 113, 101, 161, 245, 107, 62, 29, 4, 0], [1, 6, 3, 114, 94, 182, 210, 142, 41, 36, 3, 0], [1, 6, 3, 115, 87, 203, 175, 177, 20, 43, 2, 0], [1, 6, 4, 103, 142, 70, 364, 16, 97, 28, 0, 1], [1, 6, 4, 104, 136, 84, 350, 16, 111, 14, 6, 0], [1, 6, 4, 105, 129, 105, 315, 51, 90, 21, 5, 0], [1, 6, 4, 106, 122, 126, 280, 86, 69, 28, 4, 0], [1, 6, 4, 107, 115, 147, 245, 121, 48, 35, 3, 0], [1, 6, 4, 108, 108, 168, 210, 156, 27, 42, 2, 0], [1, 6, 4, 109, 101, 189, 175, 191, 6, 49, 1, 0], [1, 6, 5, 98, 150, 70, 350, 30, 97, 20, 5, 0], [1, 6, 5, 99, 143, 91, 315, 65, 76, 27, 4, 0], [1, 6, 5, 100, 136, 112, 280, 100, 55, 34, 3, 0], [1, 6, 5, 101, 129, 133, 245, 135, 34, 41, 2, 0], [1, 6, 5, 102, 122, 154, 210, 170, 13, 48, 1, 0], [1, 6, 6, 91, 171, 35, 385, 9, 104, 19, 5, 0], [1, 6, 6, 92, 164, 56, 350, 44, 83, 26, 4, 0], [1, 6, 6, 93, 157, 77, 315, 79, 62, 33, 3, 0], [1, 6, 6, 94, 150, 98, 280, 114, 41, 40, 2, 0], [1, 6, 6, 95, 143, 119, 245, 149, 20, 47, 1, 0], [1, 6, 7, 85, 185, 21, 385, 23, 90, 25, 4, 0], [1, 6, 7, 86, 178, 42, 350, 58, 69, 32, 3, 0], [1, 6, 7, 87, 171, 63, 315, 93, 48, 39, 2, 0], [1, 6, 7, 88, 164, 84, 280, 128, 27, 46, 1, 0], [1, 6, 7, 89, 157, 105, 245, 163, 6, 53, 0, 0], [1, 6, 8, 79, 199, 7, 385, 37, 76, 31, 3, 0], [1, 6, 8, 80, 192, 28, 350, 72, 55, 38, 2, 0], [1, 6, 8, 81, 185, 49, 315, 107, 34, 45, 1, 0], [1, 6, 8, 82, 178, 70, 280, 142, 13, 52, 0, 0], [1, 6, 9, 74, 206, 14, 350, 86, 41, 44, 1, 0], [1, 6, 9, 75, 199, 35, 315, 121, 20, 51, 0, 0], [1, 6, 10, 68, 220, 0, 350, 100, 27, 50, 0, 0], [1, 7, 0, 106, 150, 56, 364, 30, 89, 25, 4, 0], [1, 7, 0, 107, 143, 77, 329, 65, 68, 32, 3, 0], [1, 7, 0, 108, 136, 98, 294, 100, 47, 39, 2, 0], [1, 7, 0, 109, 129, 119, 259, 135, 26, 46, 1, 0], [1, 7, 0, 110, 122, 140, 224, 170, 5, 53, 0, 0], [1, 7, 1, 99, 171, 21, 399, 9, 96, 24, 4, 0], [1, 7, 1, 100, 164, 42, 364, 44, 75, 31, 3, 0], [1, 7, 1, 101, 157, 63, 329, 79, 54, 38, 2, 0], [1, 7, 1, 102, 150, 84, 294, 114, 33, 45, 1, 0], [1, 7, 1, 103, 143, 105, 259, 149, 12, 52, 0, 0], [1, 7, 2, 93, 185, 7, 399, 23, 82, 30, 3, 0], [1, 7, 2, 94, 178, 28, 364, 58, 61, 37, 2, 0], [1, 7, 2, 95, 171, 49, 329, 93, 40, 44, 1, 0], [1, 7, 2, 96, 164, 70, 294, 128, 19, 51, 0, 0], [1, 7, 3, 88, 192, 14, 364, 72, 47, 43, 1, 0], [1, 7, 3, 89, 185, 35, 329, 107, 26, 50, 0, 0], [1, 7, 4, 82, 206, 0, 364, 86, 33, 49, 0, 0], [2, 0, 9, 145, 1, 259, 259, 1, 145, 9, 0, 2], [2, 0, 10, 140, 9, 259, 245, 15, 145, 1, 5, 1], [2, 0, 10, 141, 2, 280, 210, 50, 124, 8, 4, 1], [2, 0, 11, 134, 23, 245, 245, 29, 131, 7, 4, 1], [2, 0, 11, 135, 16, 266, 210, 64, 110, 14, 3, 1], [2, 0, 11, 136, 9, 287, 175, 99, 89, 21, 2, 1], [2, 0, 11, 136, 10, 280, 196, 64, 124, 0, 9, 0], [2, 0, 11, 137, 2, 308, 140, 134, 68, 28, 1, 1], [2, 0, 11, 137, 3, 301, 161, 99, 103, 7, 8, 0], [2, 0, 12, 127, 44, 210, 280, 8, 138, 6, 4, 1], [2, 0, 12, 128, 37, 231, 245, 43, 117, 13, 3, 1], [2, 0, 12, 129, 30, 252, 210, 78, 96, 20, 2, 1], [2, 0, 12, 130, 23, 273, 175, 113, 75, 27, 1, 1], [2, 0, 12, 130, 24, 266, 196, 78, 110, 6, 8, 0], [2, 0, 12, 131, 16, 294, 140, 148, 54, 34, 0, 1], [2, 0, 12, 131, 17, 287, 161, 113, 89, 13, 7, 0], [2, 0, 12, 132, 10, 308, 126, 148, 68, 20, 6, 0], [2, 0, 12, 133, 3, 329, 91, 183, 47, 27, 5, 0], [2, 0, 13, 121, 58, 196, 280, 22, 124, 12, 3, 1], [2, 0, 13, 122, 51, 217, 245, 57, 103, 19, 2, 1], [2, 0, 13, 123, 44, 238, 210, 92, 82, 26, 1, 1], [2, 0, 13, 123, 45, 231, 231, 57, 117, 5, 8, 0], [2, 0, 13, 124, 37, 259, 175, 127, 61, 33, 0, 1], [2, 0, 13, 124, 38, 252, 196, 92, 96, 12, 7, 0], [2, 0, 13, 125, 31, 273, 161, 127, 75, 19, 6, 0], [2, 0, 13, 126, 24, 294, 126, 162, 54, 26, 5, 0], [2, 0, 13, 127, 17, 315, 91, 197, 33, 33, 4, 0], [2, 0, 13, 128, 10, 336, 56, 232, 12, 40, 3, 0], [2, 0, 14, 114, 79, 161, 315, 1, 131, 11, 3, 1], [2, 0, 14, 115, 72, 182, 280, 36, 110, 18, 2, 1], [2, 0, 14, 116, 65, 203, 245, 71, 89, 25, 1, 1], [2, 0, 14, 116, 66, 196, 266, 36, 124, 4, 8, 0], [2, 0, 14, 117, 58, 224, 210, 106, 68, 32, 0, 1], [2, 0, 14, 117, 59, 217, 231, 71, 103, 11, 7, 0], [2, 0, 14, 118, 52, 238, 196, 106, 82, 18, 6, 0], [2, 0, 14, 119, 45, 259, 161, 141, 61, 25, 5, 0], [2, 0, 14, 120, 38, 280, 126, 176, 40, 32, 4, 0], [2, 0, 14, 121, 31, 301, 91, 211, 19, 39, 3, 0], [2, 0, 15, 108, 93, 147, 315, 15, 117, 17, 2, 1], [2, 0, 15, 109, 86, 168, 280, 50, 96, 24, 1, 1], [2, 0, 15, 109, 87, 161, 301, 15, 131, 3, 8, 0], [2, 0, 15, 110, 79, 189, 245, 85, 75, 31, 0, 1], [2, 0, 15, 110, 80, 182, 266, 50, 110, 10, 7, 0], [2, 0, 15, 111, 73, 203, 231, 85, 89, 17, 6, 0], [2, 0, 15, 112, 66, 224, 196, 120, 68, 24, 5, 0], [2, 0, 15, 113, 59, 245, 161, 155, 47, 31, 4, 0], [2, 0, 15, 114, 52, 266, 126, 190, 26, 38, 3, 0], [2, 0, 15, 115, 45, 287, 91, 225, 5, 45, 2, 0], [2, 0, 16, 102, 107, 133, 315, 29, 103, 23, 1, 1], [2, 0, 16, 103, 100, 154, 280, 64, 82, 30, 0, 1], [2, 0, 16, 103, 101, 147, 301, 29, 117, 9, 7, 0], [2, 0, 16, 104, 94, 168, 266, 64, 96, 16, 6, 0], [2, 0, 16, 105, 87, 189, 231, 99, 75, 23, 5, 0], [2, 0, 16, 106, 80, 210, 196, 134, 54, 30, 4, 0], [2, 0, 16, 107, 73, 231, 161, 169, 33, 37, 3, 0], [2, 0, 16, 108, 66, 252, 126, 204, 12, 44, 2, 0], [2, 0, 17, 95, 128, 98, 350, 8, 110, 22, 1, 1], [2, 0, 17, 96, 121, 119, 315, 43, 89, 29, 0, 1], [2, 0, 17, 96, 122, 112, 336, 8, 124, 8, 7, 0], [2, 0, 17, 97, 115, 133, 301, 43, 103, 15, 6, 0], [2, 0, 17, 98, 108, 154, 266, 78, 82, 22, 5, 0], [2, 0, 17, 99, 101, 175, 231, 113, 61, 29, 4, 0], [2, 0, 17, 100, 94, 196, 196, 148, 40, 36, 3, 0], [2, 0, 17, 101, 87, 217, 161, 183, 19, 43, 2, 0], [2, 0, 18, 89, 142, 84, 350, 22, 96, 28, 0, 1], [2, 0, 18, 90, 136, 98, 336, 22, 110, 14, 6, 0], [2, 0, 18, 91, 129, 119, 301, 57, 89, 21, 5, 0], [2, 0, 18, 92, 122, 140, 266, 92, 68, 28, 4, 0], [2, 0, 18, 93, 115, 161, 231, 127, 47, 35, 3, 0], [2, 0, 18, 94, 108, 182, 196, 162, 26, 42, 2, 0], [2, 0, 18, 95, 101, 203, 161, 197, 5, 49, 1, 0], [2, 0, 19, 82, 163, 49, 385, 1, 103, 27, 0, 1], [2, 0, 19, 83, 157, 63, 371, 1, 117, 13, 6, 0], [2, 0, 19, 84, 150, 84, 336, 36, 96, 20, 5, 0], [2, 0, 19, 85, 143, 105, 301, 71, 75, 27, 4, 0], [2, 0, 19, 86, 136, 126, 266, 106, 54, 34, 3, 0], [2, 0, 19, 87, 129, 147, 231, 141, 33, 41, 2, 0], [2, 0, 19, 88, 122, 168, 196, 176, 12, 48, 1, 0], [2, 0, 20, 77, 171, 49, 371, 15, 103, 19, 5, 0], [2, 0, 20, 78, 164, 70, 336, 50, 82, 26, 4, 0], [2, 0, 20, 79, 157, 91, 301, 85, 61, 33, 3, 0], [2, 0, 20, 80, 150, 112, 266, 120, 40, 40, 2, 0], [2, 0, 20, 81, 143, 133, 231, 155, 19, 47, 1, 0], [2, 0, 21, 71, 185, 35, 371, 29, 89, 25, 4, 0], [2, 0, 21, 72, 178, 56, 336, 64, 68, 32, 3, 0], [2, 0, 21, 73, 171, 77, 301, 99, 47, 39, 2, 0], [2, 0, 21, 74, 164, 98, 266, 134, 26, 46, 1, 0], [2, 0, 21, 75, 157, 119, 231, 169, 5, 53, 0, 0], [2, 0, 22, 64, 206, 0, 406, 8, 96, 24, 4, 0], [2, 0, 22, 65, 199, 21, 371, 43, 75, 31, 3, 0], [2, 0, 22, 66, 192, 42, 336, 78, 54, 38, 2, 0], [2, 0, 22, 67, 185, 63, 301, 113, 33, 45, 1, 0], [2, 0, 22, 68, 178, 84, 266, 148, 12, 52, 0, 0], [2, 0, 23, 59, 213, 7, 371, 57, 61, 37, 2, 0], [2, 0, 23, 60, 206, 28, 336, 92, 40, 44, 1, 0], [2, 0, 23, 61, 199, 49, 301, 127, 19, 51, 0, 0], [2, 0, 24, 54, 220, 14, 336, 106, 26, 50, 0, 0], [2, 1, 5, 148, 9, 245, 259, 15, 137, 6, 4, 1], [2, 1, 5, 149, 2, 266, 224, 50, 116, 13, 3, 1], [2, 1, 6, 142, 23, 231, 259, 29, 123, 12, 3, 1], [2, 1, 6, 143, 16, 252, 224, 64, 102, 19, 2, 1], [2, 1, 6, 144, 9, 273, 189, 99, 81, 26, 1, 1], [2, 1, 6, 144, 10, 266, 210, 64, 116, 5, 8, 0], [2, 1, 6, 145, 2, 294, 154, 134, 60, 33, 0, 1], [2, 1, 6, 145, 3, 287, 175, 99, 95, 12, 7, 0], [2, 1, 7, 135, 44, 196, 294, 8, 130, 11, 3, 1], [2, 1, 7, 136, 37, 217, 259, 43, 109, 18, 2, 1], [2, 1, 7, 137, 30, 238, 224, 78, 88, 25, 1, 1], [2, 1, 7, 137, 31, 231, 245, 43, 123, 4, 8, 0], [2, 1, 7, 138, 23, 259, 189, 113, 67, 32, 0, 1], [2, 1, 7, 138, 24, 252, 210, 78, 102, 11, 7, 0], [2, 1, 7, 139, 17, 273, 175, 113, 81, 18, 6, 0], [2, 1, 7, 140, 10, 294, 140, 148, 60, 25, 5, 0], [2, 1, 7, 141, 3, 315, 105, 183, 39, 32, 4, 0], [2, 1, 8, 129, 58, 182, 294, 22, 116, 17, 2, 1], [2, 1, 8, 130, 51, 203, 259, 57, 95, 24, 1, 1], [2, 1, 8, 130, 52, 196, 280, 22, 130, 3, 8, 0], [2, 1, 8, 131, 44, 224, 224, 92, 74, 31, 0, 1], [2, 1, 8, 131, 45, 217, 245, 57, 109, 10, 7, 0], [2, 1, 8, 132, 38, 238, 210, 92, 88, 17, 6, 0], [2, 1, 8, 133, 31, 259, 175, 127, 67, 24, 5, 0], [2, 1, 8, 134, 24, 280, 140, 162, 46, 31, 4, 0], [2, 1, 8, 135, 17, 301, 105, 197, 25, 38, 3, 0], [2, 1, 8, 136, 10, 322, 70, 232, 4, 45, 2, 0], [2, 1, 9, 122, 79, 147, 329, 1, 123, 16, 2, 1], [2, 1, 9, 123, 72, 168, 294, 36, 102, 23, 1, 1], [2, 1, 9, 123, 73, 161, 315, 1, 137, 2, 8, 0], [2, 1, 9, 124, 65, 189, 259, 71, 81, 30, 0, 1], [2, 1, 9, 124, 66, 182, 280, 36, 116, 9, 7, 0], [2, 1, 9, 125, 59, 203, 245, 71, 95, 16, 6, 0], [2, 1, 9, 126, 52, 224, 210, 106, 74, 23, 5, 0], [2, 1, 9, 127, 45, 245, 175, 141, 53, 30, 4, 0], [2, 1, 9, 128, 38, 266, 140, 176, 32, 37, 3, 0], [2, 1, 9, 129, 31, 287, 105, 211, 11, 44, 2, 0], [2, 1, 10, 116, 93, 133, 329, 15, 109, 22, 1, 1], [2, 1, 10, 117, 86, 154, 294, 50, 88, 29, 0, 1], [2, 1, 10, 117, 87, 147, 315, 15, 123, 8, 7, 0], [2, 1, 10, 118, 80, 168, 280, 50, 102, 15, 6, 0], [2, 1, 10, 119, 73, 189, 245, 85, 81, 22, 5, 0], [2, 1, 10, 120, 66, 210, 210, 120, 60, 29, 4, 0], [2, 1, 10, 121, 59, 231, 175, 155, 39, 36, 3, 0], [2, 1, 10, 122, 52, 252, 140, 190, 18, 43, 2, 0], [2, 1, 11, 110, 107, 119, 329, 29, 95, 28, 0, 1], [2, 1, 11, 111, 101, 133, 315, 29, 109, 14, 6, 0], [2, 1, 11, 112, 94, 154, 280, 64, 88, 21, 5, 0], [2, 1, 11, 113, 87, 175, 245, 99, 67, 28, 4, 0], [2, 1, 11, 114, 80, 196, 210, 134, 46, 35, 3, 0], [2, 1, 11, 115, 73, 217, 175, 169, 25, 42, 2, 0], [2, 1, 11, 116, 66, 238, 140, 204, 4, 49, 1, 0], [2, 1, 12, 103, 128, 84, 364, 8, 102, 27, 0, 1], [2, 1, 12, 104, 122, 98, 350, 8, 116, 13, 6, 0], [2, 1, 12, 105, 115, 119, 315, 43, 95, 20, 5, 0], [2, 1, 12, 106, 108, 140, 280, 78, 74, 27, 4, 0], [2, 1, 12, 107, 101, 161, 245, 113, 53, 34, 3, 0], [2, 1, 12, 108, 94, 182, 210, 148, 32, 41, 2, 0], [2, 1, 12, 109, 87, 203, 175, 183, 11, 48, 1, 0], [2, 1, 13, 98, 136, 84, 350, 22, 102, 19, 5, 0], [2, 1, 13, 99, 129, 105, 315, 57, 81, 26, 4, 0], [2, 1, 13, 100, 122, 126, 280, 92, 60, 33, 3, 0], [2, 1, 13, 101, 115, 147, 245, 127, 39, 40, 2, 0], [2, 1, 13, 102, 108, 168, 210, 162, 18, 47, 1, 0], [2, 1, 14, 91, 157, 49, 385, 1, 109, 18, 5, 0], [2, 1, 14, 92, 150, 70, 350, 36, 88, 25, 4, 0], [2, 1, 14, 93, 143, 91, 315, 71, 67, 32, 3, 0], [2, 1, 14, 94, 136, 112, 280, 106, 46, 39, 2, 0], [2, 1, 14, 95, 129, 133, 245, 141, 25, 46, 1, 0], [2, 1, 14, 96, 122, 154, 210, 176, 4, 53, 0, 0], [2, 1, 15, 85, 171, 35, 385, 15, 95, 24, 4, 0], [2, 1, 15, 86, 164, 56, 350, 50, 74, 31, 3, 0], [2, 1, 15, 87, 157, 77, 315, 85, 53, 38, 2, 0], [2, 1, 15, 88, 150, 98, 280, 120, 32, 45, 1, 0], [2, 1, 15, 89, 143, 119, 245, 155, 11, 52, 0, 0], [2, 1, 16, 79, 185, 21, 385, 29, 81, 30, 3, 0], [2, 1, 16, 80, 178, 42, 350, 64, 60, 37, 2, 0], [2, 1, 16, 81, 171, 63, 315, 99, 39, 44, 1, 0], [2, 1, 16, 82, 164, 84, 280, 134, 18, 51, 0, 0], [2, 1, 17, 73, 199, 7, 385, 43, 67, 36, 2, 0], [2, 1, 17, 74, 192, 28, 350, 78, 46, 43, 1, 0], [2, 1, 17, 75, 185, 49, 315, 113, 25, 50, 0, 0], [2, 1, 18, 68, 206, 14, 350, 92, 32, 49, 0, 0], [2, 2, 0, 156, 9, 231, 273, 15, 129, 11, 3, 1], [2, 2, 0, 157, 2, 252, 238, 50, 108, 18, 2, 1], [2, 2, 1, 150, 23, 217, 273, 29, 115, 17, 2, 1], [2, 2, 1, 151, 16, 238, 238, 64, 94, 24, 1, 1], [2, 2, 1, 151, 17, 231, 259, 29, 129, 3, 8, 0], [2, 2, 1, 152, 9, 259, 203, 99, 73, 31, 0, 1], [2, 2, 1, 152, 10, 252, 224, 64, 108, 10, 7, 0], [2, 2, 1, 153, 3, 273, 189, 99, 87, 17, 6, 0], [2, 2, 2, 143, 44, 182, 308, 8, 122, 16, 2, 1], [2, 2, 2, 144, 37, 203, 273, 43, 101, 23, 1, 1], [2, 2, 2, 144, 38, 196, 294, 8, 136, 2, 8, 0], [2, 2, 2, 145, 30, 224, 238, 78, 80, 30, 0, 1], [2, 2, 2, 145, 31, 217, 259, 43, 115, 9, 7, 0], [2, 2, 2, 146, 24, 238, 224, 78, 94, 16, 6, 0], [2, 2, 2, 147, 17, 259, 189, 113, 73, 23, 5, 0], [2, 2, 2, 148, 10, 280, 154, 148, 52, 30, 4, 0], [2, 2, 2, 149, 3, 301, 119, 183, 31, 37, 3, 0], [2, 2, 3, 137, 58, 168, 308, 22, 108, 22, 1, 1], [2, 2, 3, 138, 51, 189, 273, 57, 87, 29, 0, 1], [2, 2, 3, 138, 52, 182, 294, 22, 122, 8, 7, 0], [2, 2, 3, 139, 45, 203, 259, 57, 101, 15, 6, 0], [2, 2, 3, 140, 38, 224, 224, 92, 80, 22, 5, 0], [2, 2, 3, 141, 31, 245, 189, 127, 59, 29, 4, 0], [2, 2, 3, 142, 24, 266, 154, 162, 38, 36, 3, 0], [2, 2, 3, 143, 17, 287, 119, 197, 17, 43, 2, 0], [2, 2, 4, 130, 79, 133, 343, 1, 115, 21, 1, 1], [2, 2, 4, 131, 72, 154, 308, 36, 94, 28, 0, 1], [2, 2, 4, 131, 73, 147, 329, 1, 129, 7, 7, 0], [2, 2, 4, 132, 66, 168, 294, 36, 108, 14, 6, 0], [2, 2, 4, 133, 59, 189, 259, 71, 87, 21, 5, 0], [2, 2, 4, 134, 52, 210, 224, 106, 66, 28, 4, 0], [2, 2, 4, 135, 45, 231, 189, 141, 45, 35, 3, 0], [2, 2, 4, 136, 38, 252, 154, 176, 24, 42, 2, 0], [2, 2, 4, 137, 31, 273, 119, 211, 3, 49, 1, 0], [2, 2, 5, 124, 93, 119, 343, 15, 101, 27, 0, 1], [2, 2, 5, 125, 87, 133, 329, 15, 115, 13, 6, 0], [2, 2, 5, 126, 80, 154, 294, 50, 94, 20, 5, 0], [2, 2, 5, 127, 73, 175, 259, 85, 73, 27, 4, 0], [2, 2, 5, 128, 66, 196, 224, 120, 52, 34, 3, 0], [2, 2, 5, 129, 59, 217, 189, 155, 31, 41, 2, 0], [2, 2, 5, 130, 52, 238, 154, 190, 10, 48, 1, 0], [2, 2, 6, 119, 101, 119, 329, 29, 101, 19, 5, 0], [2, 2, 6, 120, 94, 140, 294, 64, 80, 26, 4, 0], [2, 2, 6, 121, 87, 161, 259, 99, 59, 33, 3, 0], [2, 2, 6, 122, 80, 182, 224, 134, 38, 40, 2, 0], [2, 2, 6, 123, 73, 203, 189, 169, 17, 47, 1, 0], [2, 2, 7, 112, 122, 84, 364, 8, 108, 18, 5, 0], [2, 2, 7, 113, 115, 105, 329, 43, 87, 25, 4, 0], [2, 2, 7, 114, 108, 126, 294, 78, 66, 32, 3, 0], [2, 2, 7, 115, 101, 147, 259, 113, 45, 39, 2, 0], [2, 2, 7, 116, 94, 168, 224, 148, 24, 46, 1, 0], [2, 2, 7, 117, 87, 189, 189, 183, 3, 53, 0, 0], [2, 2, 8, 106, 136, 70, 364, 22, 94, 24, 4, 0], [2, 2, 8, 107, 129, 91, 329, 57, 73, 31, 3, 0], [2, 2, 8, 108, 122, 112, 294, 92, 52, 38, 2, 0], [2, 2, 8, 109, 115, 133, 259, 127, 31, 45, 1, 0], [2, 2, 8, 110, 108, 154, 224, 162, 10, 52, 0, 0], [2, 2, 9, 99, 157, 35, 399, 1, 101, 23, 4, 0], [2, 2, 9, 100, 150, 56, 364, 36, 80, 30, 3, 0], [2, 2, 9, 101, 143, 77, 329, 71, 59, 37, 2, 0], [2, 2, 9, 102, 136, 98, 294, 106, 38, 44, 1, 0], [2, 2, 9, 103, 129, 119, 259, 141, 17, 51, 0, 0], [2, 2, 10, 93, 171, 21, 399, 15, 87, 29, 3, 0], [2, 2, 10, 94, 164, 42, 364, 50, 66, 36, 2, 0], [2, 2, 10, 95, 157, 63, 329, 85, 45, 43, 1, 0], [2, 2, 10, 96, 150, 84, 294, 120, 24, 50, 0, 0], [2, 2, 11, 87, 185, 7, 399, 29, 73, 35, 2, 0], [2, 2, 11, 88, 178, 28, 364, 64, 52, 42, 1, 0], [2, 2, 11, 89, 171, 49, 329, 99, 31, 49, 0, 0], [2, 2, 12, 82, 192, 14, 364, 78, 38, 48, 0, 0], [2, 3, 0, 133, 87, 119, 343, 15, 107, 18, 5, 0], [2, 3, 0, 134, 80, 140, 308, 50, 86, 25, 4, 0], [2, 3, 0, 135, 73, 161, 273, 85, 65, 32, 3, 0], [2, 3, 0, 136, 66, 182, 238, 120, 44, 39, 2, 0], [2, 3, 0, 137, 59, 203, 203, 155, 23, 46, 1, 0], [2, 3, 0, 138, 52, 224, 168, 190, 2, 53, 0, 0], [2, 3, 1, 127, 101, 105, 343, 29, 93, 24, 4, 0], [2, 3, 1, 128, 94, 126, 308, 64, 72, 31, 3, 0], [2, 3, 1, 129, 87, 147, 273, 99, 51, 38, 2, 0], [2, 3, 1, 130, 80, 168, 238, 134, 30, 45, 1, 0], [2, 3, 1, 131, 73, 189, 203, 169, 9, 52, 0, 0], [2, 3, 2, 120, 122, 70, 378, 8, 100, 23, 4, 0], [2, 3, 2, 121, 115, 91, 343, 43, 79, 30, 3, 0], [2, 3, 2, 122, 108, 112, 308, 78, 58, 37, 2, 0], [2, 3, 2, 123, 101, 133, 273, 113, 37, 44, 1, 0], [2, 3, 2, 124, 94, 154, 238, 148, 16, 51, 0, 0], [2, 3, 3, 114, 136, 56, 378, 22, 86, 29, 3, 0], [2, 3, 3, 115, 129, 77, 343, 57, 65, 36, 2, 0], [2, 3, 3, 116, 122, 98, 308, 92, 44, 43, 1, 0], [2, 3, 3, 117, 115, 119, 273, 127, 23, 50, 0, 0], [2, 3, 4, 107, 157, 21, 413, 1, 93, 28, 3, 0], [2, 3, 4, 108, 150, 42, 378, 36, 72, 35, 2, 0], [2, 3, 4, 109, 143, 63, 343, 71, 51, 42, 1, 0], [2, 3, 4, 110, 136, 84, 308, 106, 30, 49, 0, 0], [2, 3, 5, 101, 171, 7, 413, 15, 79, 34, 2, 0], [2, 3, 5, 102, 164, 28, 378, 50, 58, 41, 1, 0], [2, 3, 5, 103, 157, 49, 343, 85, 37, 48, 0, 0], [2, 3, 6, 96, 178, 14, 378, 64, 44, 47, 0, 0], [2, 4, 0, 110, 164, 14, 392, 50, 50, 46, 0, 0], [3, 0, 0, 136, 108, 56, 406, 0, 89, 32, 2, 0], [3, 0, 0, 137, 101, 77, 371, 35, 68, 39, 1, 0], [3, 0, 0, 138, 94, 98, 336, 70, 47, 46, 0, 0], [3, 0, 1, 130, 122, 42, 406, 14, 75, 38, 1, 0], [3, 0, 1, 131, 115, 63, 371, 49, 54, 45, 0, 0], [3, 0, 2, 124, 136, 28, 406, 28, 61, 44, 0, 0]}