-------
(12, 832, 6) ALL distance distributions
(6, 832, 6) has 1 possible DDs: {[13, 78, 195, 260, 195, 78, 13]}
(7, 832, 6) has 14 possible DDs: {[0, 91, 0, 455, 0, 273, 0, 13], [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 57 possible DDs: {[0, 45, 49, 217, 245, 119, 147, 3, 7], [0, 46, 42, 238, 210, 154, 126, 10, 6], [0, 47, 35, 259, 175, 189, 105, 17, 5], [0, 48, 28, 280, 140, 224, 84, 24, 4], [0, 49, 21, 301, 105, 259, 63, 31, 3], [0, 50, 14, 322, 70, 294, 42, 38, 2], [0, 51, 7, 343, 35, 329, 21, 45, 1], [0, 52, 0, 364, 0, 364, 0, 52, 0], [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 228 possible DDs: {[0, 16, 91, 7, 427, 7, 217, 61, 1, 5], [0, 17, 84, 28, 392, 42, 196, 68, 0, 5], [0, 17, 85, 21, 413, 7, 231, 47, 7, 4], [0, 18, 78, 42, 378, 42, 210, 54, 6, 4], [0, 18, 79, 35, 399, 7, 245, 33, 13, 3], [0, 19, 71, 63, 343, 77, 189, 61, 5, 4], [0, 19, 72, 56, 364, 42, 224, 40, 12, 3], [0, 19, 73, 49, 385, 7, 259, 19, 19, 2], [0, 20, 64, 84, 308, 112, 168, 68, 4, 4], [0, 20, 65, 77, 329, 77, 203, 47, 11, 3], [0, 20, 66, 70, 350, 42, 238, 26, 18, 2], [0, 20, 67, 63, 371, 7, 273, 5, 25, 1], [0, 21, 57, 105, 273, 147, 147, 75, 3, 4], [0, 21, 58, 98, 294, 112, 182, 54, 10, 3], [0, 21, 59, 91, 315, 77, 217, 33, 17, 2], [0, 21, 60, 84, 336, 42, 252, 12, 24, 1], [0, 22, 50, 126, 238, 182, 126, 82, 2, 4], [0, 22, 51, 119, 259, 147, 161, 61, 9, 3], [0, 22, 52, 112, 280, 112, 196, 40, 16, 2], [0, 22, 53, 105, 301, 77, 231, 19, 23, 1], [0, 23, 43, 147, 203, 217, 105, 89, 1, 4], [0, 23, 44, 140, 224, 182, 140, 68, 8, 3], [0, 23, 45, 133, 245, 147, 175, 47, 15, 2], [0, 23, 46, 126, 266, 112, 210, 26, 22, 1], [0, 23, 47, 119, 287, 77, 245, 5, 29, 0], [0, 24, 36, 168, 168, 252, 84, 96, 0, 4], [0, 24, 37, 161, 189, 217, 119, 75, 7, 3], [0, 24, 38, 154, 210, 182, 154, 54, 14, 2], [0, 24, 39, 147, 231, 147, 189, 33, 21, 1], [0, 24, 40, 140, 252, 112, 224, 12, 28, 0], [0, 25, 30, 182, 154, 252, 98, 82, 6, 3], [0, 25, 31, 175, 175, 217, 133, 61, 13, 2], [0, 25, 32, 168, 196, 182, 168, 40, 20, 1], [0, 25, 33, 161, 217, 147, 203, 19, 27, 0], [0, 26, 23, 203, 119, 287, 77, 89, 5, 3], [0, 26, 24, 196, 140, 252, 112, 68, 12, 2], [0, 26, 25, 189, 161, 217, 147, 47, 19, 1], [0, 26, 26, 182, 182, 182, 182, 26, 26, 0], [0, 27, 16, 224, 84, 322, 56, 96, 4, 3], [0, 27, 17, 217, 105, 287, 91, 75, 11, 2], [0, 27, 18, 210, 126, 252, 126, 54, 18, 1], [0, 27, 19, 203, 147, 217, 161, 33, 25, 0], [0, 28, 9, 245, 49, 357, 35, 103, 3, 3], [0, 28, 10, 238, 70, 322, 70, 82, 10, 2], [0, 28, 11, 231, 91, 287, 105, 61, 17, 1], [0, 28, 12, 224, 112, 252, 140, 40, 24, 0], [0, 29, 2, 266, 14, 392, 14, 110, 2, 3], [0, 29, 3, 259, 35, 357, 49, 89, 9, 2], [0, 29, 4, 252, 56, 322, 84, 68, 16, 1], [0, 29, 5, 245, 77, 287, 119, 47, 23, 0], [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 769 possible DDs: {[0, 4, 76, 3, 245, 259, 21, 209, 7, 5, 3], [0, 5, 69, 24, 210, 294, 0, 216, 6, 5, 3], [0, 5, 70, 17, 231, 259, 35, 195, 13, 4, 3], [0, 5, 71, 10, 252, 224, 70, 174, 20, 3, 3], [0, 5, 72, 3, 273, 189, 105, 153, 27, 2, 3], [0, 5, 72, 4, 266, 210, 70, 188, 6, 9, 2], [0, 6, 63, 38, 196, 294, 14, 202, 12, 4, 3], [0, 6, 64, 31, 217, 259, 49, 181, 19, 3, 3], [0, 6, 65, 24, 238, 224, 84, 160, 26, 2, 3], [0, 6, 65, 25, 231, 245, 49, 195, 5, 9, 2], [0, 6, 66, 17, 259, 189, 119, 139, 33, 1, 3], [0, 6, 66, 18, 252, 210, 84, 174, 12, 8, 2], [0, 6, 67, 10, 280, 154, 154, 118, 40, 0, 3], [0, 6, 67, 11, 273, 175, 119, 153, 19, 7, 2], [0, 6, 68, 4, 294, 140, 154, 132, 26, 6, 2], [0, 6, 68, 5, 287, 161, 119, 167, 5, 13, 1], [0, 7, 57, 52, 182, 294, 28, 188, 18, 3, 3], [0, 7, 58, 45, 203, 259, 63, 167, 25, 2, 3], [0, 7, 58, 46, 196, 280, 28, 202, 4, 9, 2], [0, 7, 59, 38, 224, 224, 98, 146, 32, 1, 3], [0, 7, 59, 39, 217, 245, 63, 181, 11, 8, 2], [0, 7, 60, 31, 245, 189, 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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 2511 possible DDs: {[0, 0, 44, 61, 28, 406, 28, 136, 124, 2, 0, 3], [0, 0, 45, 54, 49, 371, 63, 115, 131, 1, 0, 3], [0, 0, 46, 47, 70, 336, 98, 94, 138, 0, 0, 3], [0, 0, 46, 50, 50, 392, 14, 164, 110, 0, 4, 2], [0, 0, 47, 44, 64, 378, 14, 178, 96, 6, 3, 2], [0, 0, 48, 37, 85, 343, 49, 157, 103, 5, 3, 2], [0, 0, 48, 38, 78, 364, 14, 192, 82, 12, 2, 2], [0, 0, 49, 30, 106, 308, 84, 136, 110, 4, 3, 2], [0, 0, 49, 31, 99, 329, 49, 171, 89, 11, 2, 2], [0, 0, 49, 32, 92, 350, 14, 206, 68, 18, 1, 2], [0, 0, 49, 33, 86, 364, 0, 206, 82, 4, 7, 1], [0, 0, 50, 23, 127, 273, 119, 115, 117, 3, 3, 2], [0, 0, 50, 24, 120, 294, 84, 150, 96, 10, 2, 2], [0, 0, 50, 25, 113, 315, 49, 185, 75, 17, 1, 2], [0, 0, 50, 26, 106, 336, 14, 220, 54, 24, 0, 2], [0, 0, 50, 26, 107, 329, 35, 185, 89, 3, 7, 1], [0, 0, 50, 27, 100, 350, 0, 220, 68, 10, 6, 1], [0, 0, 51, 16, 148, 238, 154, 94, 124, 2, 3, 2], [0, 0, 51, 17, 141, 259, 119, 129, 103, 9, 2, 2], [0, 0, 51, 18, 134, 280, 84, 164, 82, 16, 1, 2], [0, 0, 51, 19, 127, 301, 49, 199, 61, 23, 0, 2], [0, 0, 51, 19, 128, 294, 70, 164, 96, 2, 7, 1], [0, 0, 51, 20, 121, 315, 35, 199, 75, 9, 6, 1], [0, 0, 51, 21, 114, 336, 0, 234, 54, 16, 5, 1], [0, 0, 52, 9, 169, 203, 189, 73, 131, 1, 3, 2], [0, 0, 52, 10, 162, 224, 154, 108, 110, 8, 2, 2], [0, 0, 52, 11, 155, 245, 119, 143, 89, 15, 1, 2], [0, 0, 52, 12, 148, 266, 84, 178, 68, 22, 0, 2], [0, 0, 52, 12, 149, 259, 105, 143, 103, 1, 7, 1], [0, 0, 52, 13, 142, 280, 70, 178, 82, 8, 6, 1], [0, 0, 52, 14, 135, 301, 35, 213, 61, 15, 5, 1], [0, 0, 52, 15, 128, 322, 0, 248, 40, 22, 4, 1], [0, 0, 52, 15, 129, 315, 21, 213, 75, 1, 11, 0], [0, 0, 53, 2, 190, 168, 224, 52, 138, 0, 3, 2], [0, 0, 53, 3, 183, 189, 189, 87, 117, 7, 2, 2], [0, 0, 53, 4, 176, 210, 154, 122, 96, 14, 1, 2], [0, 0, 53, 5, 169, 231, 119, 157, 75, 21, 0, 2], [0, 0, 53, 5, 170, 224, 140, 122, 110, 0, 7, 1], [0, 0, 53, 6, 163, 245, 105, 157, 89, 7, 6, 1], [0, 0, 53, 7, 156, 266, 70, 192, 68, 14, 5, 1], [0, 0, 53, 8, 149, 287, 35, 227, 47, 21, 4, 1], [0, 0, 53, 8, 150, 280, 56, 192, 82, 0, 11, 0], [0, 0, 53, 9, 142, 308, 0, 262, 26, 28, 3, 1], [0, 0, 53, 9, 143, 301, 21, 227, 61, 7, 10, 0], [0, 0, 54, 0, 177, 231, 105, 171, 75, 13, 5, 1], [0, 0, 54, 1, 170, 252, 70, 206, 54, 20, 4, 1], [0, 0, 54, 2, 163, 273, 35, 241, 33, 27, 3, 1], [0, 0, 54, 2, 164, 266, 56, 206, 68, 6, 10, 0], [0, 0, 54, 3, 156, 294, 0, 276, 12, 34, 2, 1], [0, 0, 54, 3, 157, 287, 21, 241, 47, 13, 9, 0], [0, 1, 38, 75, 14, 406, 42, 122, 130, 1, 0, 3], [0, 1, 39, 68, 35, 371, 77, 101, 137, 0, 0, 3], [0, 1, 41, 58, 50, 378, 28, 164, 102, 5, 3, 2], [0, 1, 42, 51, 71, 343, 63, 143, 109, 4, 3, 2], [0, 1, 42, 52, 64, 364, 28, 178, 88, 11, 2, 2], [0, 1, 43, 44, 92, 308, 98, 122, 116, 3, 3, 2], [0, 1, 43, 45, 85, 329, 63, 157, 95, 10, 2, 2], [0, 1, 43, 46, 78, 350, 28, 192, 74, 17, 1, 2], [0, 1, 43, 47, 72, 364, 14, 192, 88, 3, 7, 1], [0, 1, 44, 37, 113, 273, 133, 101, 123, 2, 3, 2], [0, 1, 44, 38, 106, 294, 98, 136, 102, 9, 2, 2], [0, 1, 44, 39, 99, 315, 63, 171, 81, 16, 1, 2], [0, 1, 44, 40, 92, 336, 28, 206, 60, 23, 0, 2], [0, 1, 44, 40, 93, 329, 49, 171, 95, 2, 7, 1], [0, 1, 44, 41, 86, 350, 14, 206, 74, 9, 6, 1], [0, 1, 45, 30, 134, 238, 168, 80, 130, 1, 3, 2], [0, 1, 45, 31, 127, 259, 133, 115, 109, 8, 2, 2], [0, 1, 45, 32, 120, 280, 98, 150, 88, 15, 1, 2], [0, 1, 45, 33, 113, 301, 63, 185, 67, 22, 0, 2], [0, 1, 45, 33, 114, 294, 84, 150, 102, 1, 7, 1], [0, 1, 45, 34, 107, 315, 49, 185, 81, 8, 6, 1], [0, 1, 45, 35, 100, 336, 14, 220, 60, 15, 5, 1], [0, 1, 45, 36, 94, 350, 0, 220, 74, 1, 11, 0], [0, 1, 46, 23, 155, 203, 203, 59, 137, 0, 3, 2], [0, 1, 46, 24, 148, 224, 168, 94, 116, 7, 2, 2], [0, 1, 46, 25, 141, 245, 133, 129, 95, 14, 1, 2], [0, 1, 46, 26, 134, 266, 98, 164, 74, 21, 0, 2], [0, 1, 46, 26, 135, 259, 119, 129, 109, 0, 7, 1], [0, 1, 46, 27, 128, 280, 84, 164, 88, 7, 6, 1], [0, 1, 46, 28, 121, 301, 49, 199, 67, 14, 5, 1], [0, 1, 46, 29, 114, 322, 14, 234, 46, 21, 4, 1], [0, 1, 46, 29, 115, 315, 35, 199, 81, 0, 11, 0], [0, 1, 46, 30, 108, 336, 0, 234, 60, 7, 10, 0], [0, 1, 47, 17, 169, 189, 203, 73, 123, 6, 2, 2], [0, 1, 47, 18, 162, 210, 168, 108, 102, 13, 1, 2], [0, 1, 47, 19, 155, 231, 133, 143, 81, 20, 0, 2], [0, 1, 47, 20, 149, 245, 119, 143, 95, 6, 6, 1], [0, 1, 47, 21, 142, 266, 84, 178, 74, 13, 5, 1], [0, 1, 47, 22, 135, 287, 49, 213, 53, 20, 4, 1], [0, 1, 47, 23, 128, 308, 14, 248, 32, 27, 3, 1], [0, 1, 47, 23, 129, 301, 35, 213, 67, 6, 10, 0], [0, 1, 47, 24, 122, 322, 0, 248, 46, 13, 9, 0], [0, 1, 48, 10, 190, 154, 238, 52, 130, 5, 2, 2], [0, 1, 48, 11, 183, 175, 203, 87, 109, 12, 1, 2], [0, 1, 48, 12, 176, 196, 168, 122, 88, 19, 0, 2], [0, 1, 48, 13, 170, 210, 154, 122, 102, 5, 6, 1], [0, 1, 48, 14, 163, 231, 119, 157, 81, 12, 5, 1], [0, 1, 48, 15, 156, 252, 84, 192, 60, 19, 4, 1], [0, 1, 48, 16, 149, 273, 49, 227, 39, 26, 3, 1], [0, 1, 48, 16, 150, 266, 70, 192, 74, 5, 10, 0], [0, 1, 48, 17, 142, 294, 14, 262, 18, 33, 2, 1], [0, 1, 48, 17, 143, 287, 35, 227, 53, 12, 9, 0], [0, 1, 48, 18, 136, 308, 0, 262, 32, 19, 8, 0], [0, 1, 49, 3, 211, 119, 273, 31, 137, 4, 2, 2], [0, 1, 49, 4, 204, 140, 238, 66, 116, 11, 1, 2], [0, 1, 49, 5, 197, 161, 203, 101, 95, 18, 0, 2], [0, 1, 49, 6, 191, 175, 189, 101, 109, 4, 6, 1], [0, 1, 49, 7, 184, 196, 154, 136, 88, 11, 5, 1], [0, 1, 49, 8, 177, 217, 119, 171, 67, 18, 4, 1], [0, 1, 49, 9, 170, 238, 84, 206, 46, 25, 3, 1], [0, 1, 49, 9, 171, 231, 105, 171, 81, 4, 10, 0], [0, 1, 49, 10, 163, 259, 49, 241, 25, 32, 2, 1], [0, 1, 49, 10, 164, 252, 70, 206, 60, 11, 9, 0], [0, 1, 49, 11, 156, 280, 14, 276, 4, 39, 1, 1], [0, 1, 49, 11, 157, 273, 35, 241, 39, 18, 8, 0], [0, 1, 49, 12, 150, 294, 0, 276, 18, 25, 7, 0], [0, 1, 50, 0, 205, 161, 189, 115, 95, 10, 5, 1], [0, 1, 50, 1, 198, 182, 154, 150, 74, 17, 4, 1], [0, 1, 50, 2, 191, 203, 119, 185, 53, 24, 3, 1], [0, 1, 50, 2, 192, 196, 140, 150, 88, 3, 10, 0], [0, 1, 50, 3, 184, 224, 84, 220, 32, 31, 2, 1], [0, 1, 50, 3, 185, 217, 105, 185, 67, 10, 9, 0], [0, 1, 50, 4, 177, 245, 49, 255, 11, 38, 1, 1], [0, 1, 50, 4, 178, 238, 70, 220, 46, 17, 8, 0], [0, 1, 50, 5, 171, 259, 35, 255, 25, 24, 7, 0], [0, 1, 50, 6, 164, 280, 0, 290, 4, 31, 6, 0], [0, 2, 32, 89, 0, 406, 56, 108, 136, 0, 0, 3], [0, 2, 34, 79, 15, 413, 7, 171, 101, 5, 3, 2], [0, 2, 35, 72, 36, 378, 42, 150, 108, 4, 3, 2], [0, 2, 35, 73, 29, 399, 7, 185, 87, 11, 2, 2], [0, 2, 36, 65, 57, 343, 77, 129, 115, 3, 3, 2], [0, 2, 36, 66, 50, 364, 42, 164, 94, 10, 2, 2], [0, 2, 36, 67, 43, 385, 7, 199, 73, 17, 1, 2], [0, 2, 37, 58, 78, 308, 112, 108, 122, 2, 3, 2], [0, 2, 37, 59, 71, 329, 77, 143, 101, 9, 2, 2], [0, 2, 37, 60, 64, 350, 42, 178, 80, 16, 1, 2], [0, 2, 37, 61, 57, 371, 7, 213, 59, 23, 0, 2], [0, 2, 37, 61, 58, 364, 28, 178, 94, 2, 7, 1], [0, 2, 38, 51, 99, 273, 147, 87, 129, 1, 3, 2], [0, 2, 38, 52, 92, 294, 112, 122, 108, 8, 2, 2], [0, 2, 38, 53, 85, 315, 77, 157, 87, 15, 1, 2], [0, 2, 38, 54, 78, 336, 42, 192, 66, 22, 0, 2], [0, 2, 38, 54, 79, 329, 63, 157, 101, 1, 7, 1], [0, 2, 38, 55, 72, 350, 28, 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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]}
(12, 832, 6) has 6481 possible DDs: {[0, 0, 19, 68, 18, 220, 266, 12, 172, 52, 3, 0, 2], [0, 0, 19, 69, 11, 241, 231, 47, 151, 59, 2, 0, 2], [0, 0, 19, 70, 4, 262, 196, 82, 130, 66, 1, 0, 2], [0, 0, 19, 71, 0, 263, 217, 33, 179, 45, 0, 4, 1], [0, 0, 20, 62, 32, 206, 266, 26, 158, 58, 2, 0, 2], [0, 0, 20, 63, 25, 227, 231, 61, 137, 65, 1, 0, 2], [0, 0, 20, 64, 18, 248, 196, 96, 116, 72, 0, 0, 2], [0, 0, 20, 64, 21, 228, 252, 12, 186, 44, 0, 4, 1], [0, 0, 20, 65, 15, 242, 238, 12, 200, 30, 6, 3, 1], [0, 0, 20, 66, 8, 263, 203, 47, 179, 37, 5, 3, 1], [0, 0, 20, 66, 9, 256, 224, 12, 214, 16, 12, 2, 1], [0, 0, 20, 67, 1, 284, 168, 82, 158, 44, 4, 3, 1], [0, 0, 20, 67, 2, 277, 189, 47, 193, 23, 11, 2, 1], [0, 0, 20, 67, 3, 270, 210, 12, 228, 2, 18, 1, 1], [0, 0, 21, 55, 53, 171, 301, 5, 165, 57, 2, 0, 2], [0, 0, 21, 56, 46, 192, 266, 40, 144, 64, 1, 0, 2], [0, 0, 21, 57, 39, 213, 231, 75, 123, 71, 0, 0, 2], [0, 0, 21, 59, 29, 228, 238, 26, 186, 36, 5, 3, 1], [0, 0, 21, 60, 22, 249, 203, 61, 165, 43, 4, 3, 1], [0, 0, 21, 60, 23, 242, 224, 26, 200, 22, 11, 2, 1], [0, 0, 21, 61, 15, 270, 168, 96, 144, 50, 3, 3, 1], [0, 0, 21, 61, 16, 263, 189, 61, 179, 29, 10, 2, 1], [0, 0, 21, 61, 17, 256, 210, 26, 214, 8, 17, 1, 1], [0, 0, 21, 61, 18, 250, 224, 12, 214, 22, 3, 7, 0], [0, 0, 21, 62, 8, 291, 133, 131, 123, 57, 2, 3, 1], [0, 0, 21, 62, 9, 284, 154, 96, 158, 36, 9, 2, 1], [0, 0, 21, 62, 10, 277, 175, 61, 193, 15, 16, 1, 1], [0, 0, 21, 62, 11, 271, 189, 47, 193, 29, 2, 7, 0], [0, 0, 21, 62, 12, 264, 210, 12, 228, 8, 9, 6, 0], [0, 0, 21, 63, 1, 312, 98, 166, 102, 64, 1, 3, 1], [0, 0, 21, 63, 2, 305, 119, 131, 137, 43, 8, 2, 1], [0, 0, 21, 63, 3, 298, 140, 96, 172, 22, 15, 1, 1], [0, 0, 21, 63, 4, 291, 161, 61, 207, 1, 22, 0, 1], [0, 0, 21, 63, 4, 292, 154, 82, 172, 36, 1, 7, 0], [0, 0, 21, 63, 5, 285, 175, 47, 207, 15, 8, 6, 0], [0, 0, 22, 49, 67, 157, 301, 19, 151, 63, 1, 0, 2], [0, 0, 22, 50, 60, 178, 266, 54, 130, 70, 0, 0, 2], [0, 0, 22, 52, 50, 193, 273, 5, 193, 35, 5, 3, 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