-------
(11, 1024, 6) ALL distance distributions
(6, 1024, 6) has 1 possible DDs: {[16, 96, 240, 320, 240, 96, 16]}
(7, 1024, 6) has 17 possible DDs: {[0, 112, 0, 560, 0, 336, 0, 16], [1, 105, 21, 525, 35, 315, 7, 15], [2, 98, 42, 490, 70, 294, 14, 14], [3, 91, 63, 455, 105, 273, 21, 13], [4, 84, 84, 420, 140, 252, 28, 12], [5, 77, 105, 385, 175, 231, 35, 11], [6, 70, 126, 350, 210, 210, 42, 10], [7, 63, 147, 315, 245, 189, 49, 9], [8, 56, 168, 280, 280, 168, 56, 8], [9, 49, 189, 245, 315, 147, 63, 7], [10, 42, 210, 210, 350, 126, 70, 6], [11, 35, 231, 175, 385, 105, 77, 5], [12, 28, 252, 140, 420, 84, 84, 4], [13, 21, 273, 105, 455, 63, 91, 3], [14, 14, 294, 70, 490, 42, 98, 2], [15, 7, 315, 35, 525, 21, 105, 1], [16, 0, 336, 0, 560, 0, 112, 0]}
(8, 1024, 6) has 85 possible DDs: {[0, 55, 63, 259, 315, 133, 189, 1, 9], [0, 56, 56, 280, 280, 168, 168, 8, 8], [0, 57, 49, 301, 245, 203, 147, 15, 7], [0, 58, 42, 322, 210, 238, 126, 22, 6], [0, 59, 35, 343, 175, 273, 105, 29, 5], [0, 60, 28, 364, 140, 308, 84, 36, 4], [0, 61, 21, 385, 105, 343, 63, 43, 3], [0, 62, 14, 406, 70, 378, 42, 50, 2], [0, 63, 7, 427, 35, 413, 21, 57, 1], [0, 64, 0, 448, 0, 448, 0, 64, 0], [1, 48, 84, 224, 350, 112, 196, 0, 9], [1, 49, 77, 245, 315, 147, 175, 7, 8], [1, 50, 70, 266, 280, 182, 154, 14, 7], [1, 51, 63, 287, 245, 217, 133, 21, 6], [1, 52, 56, 308, 210, 252, 112, 28, 5], [1, 53, 49, 329, 175, 287, 91, 35, 4], [1, 54, 42, 350, 140, 322, 70, 42, 3], [1, 55, 35, 371, 105, 357, 49, 49, 2], [1, 56, 28, 392, 70, 392, 28, 56, 1], [1, 57, 21, 413, 35, 427, 7, 63, 0], [2, 42, 98, 210, 350, 126, 182, 6, 8], [2, 43, 91, 231, 315, 161, 161, 13, 7], [2, 44, 84, 252, 280, 196, 140, 20, 6], [2, 45, 77, 273, 245, 231, 119, 27, 5], [2, 46, 70, 294, 210, 266, 98, 34, 4], [2, 47, 63, 315, 175, 301, 77, 41, 3], [2, 48, 56, 336, 140, 336, 56, 48, 2], [2, 49, 49, 357, 105, 371, 35, 55, 1], [2, 50, 42, 378, 70, 406, 14, 62, 0], [3, 35, 119, 175, 385, 105, 189, 5, 8], [3, 36, 112, 196, 350, 140, 168, 12, 7], [3, 37, 105, 217, 315, 175, 147, 19, 6], [3, 38, 98, 238, 280, 210, 126, 26, 5], [3, 39, 91, 259, 245, 245, 105, 33, 4], [3, 40, 84, 280, 210, 280, 84, 40, 3], [3, 41, 77, 301, 175, 315, 63, 47, 2], [3, 42, 70, 322, 140, 350, 42, 54, 1], [3, 43, 63, 343, 105, 385, 21, 61, 0], [4, 28, 140, 140, 420, 84, 196, 4, 8], [4, 29, 133, 161, 385, 119, 175, 11, 7], [4, 30, 126, 182, 350, 154, 154, 18, 6], [4, 31, 119, 203, 315, 189, 133, 25, 5], [4, 32, 112, 224, 280, 224, 112, 32, 4], [4, 33, 105, 245, 245, 259, 91, 39, 3], [4, 34, 98, 266, 210, 294, 70, 46, 2], [4, 35, 91, 287, 175, 329, 49, 53, 1], [4, 36, 84, 308, 140, 364, 28, 60, 0], [5, 21, 161, 105, 455, 63, 203, 3, 8], [5, 22, 154, 126, 420, 98, 182, 10, 7], [5, 23, 147, 147, 385, 133, 161, 17, 6], [5, 24, 140, 168, 350, 168, 140, 24, 5], [5, 25, 133, 189, 315, 203, 119, 31, 4], [5, 26, 126, 210, 280, 238, 98, 38, 3], [5, 27, 119, 231, 245, 273, 77, 45, 2], [5, 28, 112, 252, 210, 308, 56, 52, 1], [5, 29, 105, 273, 175, 343, 35, 59, 0], [6, 14, 182, 70, 490, 42, 210, 2, 8], [6, 15, 175, 91, 455, 77, 189, 9, 7], [6, 16, 168, 112, 420, 112, 168, 16, 6], [6, 17, 161, 133, 385, 147, 147, 23, 5], [6, 18, 154, 154, 350, 182, 126, 30, 4], [6, 19, 147, 175, 315, 217, 105, 37, 3], [6, 20, 140, 196, 280, 252, 84, 44, 2], [6, 21, 133, 217, 245, 287, 63, 51, 1], [6, 22, 126, 238, 210, 322, 42, 58, 0], [7, 7, 203, 35, 525, 21, 217, 1, 8], [7, 8, 196, 56, 490, 56, 196, 8, 7], [7, 9, 189, 77, 455, 91, 175, 15, 6], [7, 10, 182, 98, 420, 126, 154, 22, 5], [7, 11, 175, 119, 385, 161, 133, 29, 4], [7, 12, 168, 140, 350, 196, 112, 36, 3], [7, 13, 161, 161, 315, 231, 91, 43, 2], [7, 14, 154, 182, 280, 266, 70, 50, 1], [7, 15, 147, 203, 245, 301, 49, 57, 0], [8, 0, 224, 0, 560, 0, 224, 0, 8], [8, 1, 217, 21, 525, 35, 203, 7, 7], [8, 2, 210, 42, 490, 70, 182, 14, 6], [8, 3, 203, 63, 455, 105, 161, 21, 5], [8, 4, 196, 84, 420, 140, 140, 28, 4], [8, 5, 189, 105, 385, 175, 119, 35, 3], [8, 6, 182, 126, 350, 210, 98, 42, 2], [8, 7, 175, 147, 315, 245, 77, 49, 1], [8, 8, 168, 168, 280, 280, 56, 56, 0], [9, 0, 196, 112, 350, 224, 84, 48, 1], [9, 1, 189, 133, 315, 259, 63, 55, 0]}
(9, 1024, 6) has 403 possible DDs: {[0, 20, 110, 14, 518, 14, 266, 74, 2, 6], [0, 21, 103, 35, 483, 49, 245, 81, 1, 6], [0, 21, 104, 28, 504, 14, 280, 60, 8, 5], [0, 22, 96, 56, 448, 84, 224, 88, 0, 6], [0, 22, 97, 49, 469, 49, 259, 67, 7, 5], [0, 22, 98, 42, 490, 14, 294, 46, 14, 4], [0, 23, 90, 70, 434, 84, 238, 74, 6, 5], [0, 23, 91, 63, 455, 49, 273, 53, 13, 4], [0, 23, 92, 56, 476, 14, 308, 32, 20, 3], [0, 24, 83, 91, 399, 119, 217, 81, 5, 5], [0, 24, 84, 84, 420, 84, 252, 60, 12, 4], [0, 24, 85, 77, 441, 49, 287, 39, 19, 3], [0, 24, 86, 70, 462, 14, 322, 18, 26, 2], [0, 25, 76, 112, 364, 154, 196, 88, 4, 5], [0, 25, 77, 105, 385, 119, 231, 67, 11, 4], [0, 25, 78, 98, 406, 84, 266, 46, 18, 3], [0, 25, 79, 91, 427, 49, 301, 25, 25, 2], [0, 25, 80, 84, 448, 14, 336, 4, 32, 1], [0, 26, 69, 133, 329, 189, 175, 95, 3, 5], [0, 26, 70, 126, 350, 154, 210, 74, 10, 4], [0, 26, 71, 119, 371, 119, 245, 53, 17, 3], [0, 26, 72, 112, 392, 84, 280, 32, 24, 2], [0, 26, 73, 105, 413, 49, 315, 11, 31, 1], [0, 27, 62, 154, 294, 224, 154, 102, 2, 5], [0, 27, 63, 147, 315, 189, 189, 81, 9, 4], [0, 27, 64, 140, 336, 154, 224, 60, 16, 3], [0, 27, 65, 133, 357, 119, 259, 39, 23, 2], [0, 27, 66, 126, 378, 84, 294, 18, 30, 1], [0, 28, 55, 175, 259, 259, 133, 109, 1, 5], [0, 28, 56, 168, 280, 224, 168, 88, 8, 4], [0, 28, 57, 161, 301, 189, 203, 67, 15, 3], [0, 28, 58, 154, 322, 154, 238, 46, 22, 2], [0, 28, 59, 147, 343, 119, 273, 25, 29, 1], [0, 28, 60, 140, 364, 84, 308, 4, 36, 0], [0, 29, 48, 196, 224, 294, 112, 116, 0, 5], [0, 29, 49, 189, 245, 259, 147, 95, 7, 4], [0, 29, 50, 182, 266, 224, 182, 74, 14, 3], [0, 29, 51, 175, 287, 189, 217, 53, 21, 2], [0, 29, 52, 168, 308, 154, 252, 32, 28, 1], [0, 29, 53, 161, 329, 119, 287, 11, 35, 0], [0, 30, 42, 210, 210, 294, 126, 102, 6, 4], [0, 30, 43, 203, 231, 259, 161, 81, 13, 3], [0, 30, 44, 196, 252, 224, 196, 60, 20, 2], [0, 30, 45, 189, 273, 189, 231, 39, 27, 1], [0, 30, 46, 182, 294, 154, 266, 18, 34, 0], [0, 31, 35, 231, 175, 329, 105, 109, 5, 4], [0, 31, 36, 224, 196, 294, 140, 88, 12, 3], [0, 31, 37, 217, 217, 259, 175, 67, 19, 2], [0, 31, 38, 210, 238, 224, 210, 46, 26, 1], [0, 31, 39, 203, 259, 189, 245, 25, 33, 0], [0, 32, 28, 252, 140, 364, 84, 116, 4, 4], [0, 32, 29, 245, 161, 329, 119, 95, 11, 3], [0, 32, 30, 238, 182, 294, 154, 74, 18, 2], [0, 32, 31, 231, 203, 259, 189, 53, 25, 1], [0, 32, 32, 224, 224, 224, 224, 32, 32, 0], [0, 33, 21, 273, 105, 399, 63, 123, 3, 4], [0, 33, 22, 266, 126, 364, 98, 102, 10, 3], [0, 33, 23, 259, 147, 329, 133, 81, 17, 2], [0, 33, 24, 252, 168, 294, 168, 60, 24, 1], [0, 33, 25, 245, 189, 259, 203, 39, 31, 0], [0, 34, 14, 294, 70, 434, 42, 130, 2, 4], [0, 34, 15, 287, 91, 399, 77, 109, 9, 3], [0, 34, 16, 280, 112, 364, 112, 88, 16, 2], [0, 34, 17, 273, 133, 329, 147, 67, 23, 1], [0, 34, 18, 266, 154, 294, 182, 46, 30, 0], [0, 35, 7, 315, 35, 469, 21, 137, 1, 4], [0, 35, 8, 308, 56, 434, 56, 116, 8, 3], [0, 35, 9, 301, 77, 399, 91, 95, 15, 2], [0, 35, 10, 294, 98, 364, 126, 74, 22, 1], [0, 35, 11, 287, 119, 329, 161, 53, 29, 0], [0, 36, 0, 336, 0, 504, 0, 144, 0, 4], [0, 36, 1, 329, 21, 469, 35, 123, 7, 3], [0, 36, 2, 322, 42, 434, 70, 102, 14, 2], [0, 36, 3, 315, 63, 399, 105, 81, 21, 1], [0, 36, 4, 308, 84, 364, 140, 60, 28, 0], [1, 14, 124, 0, 518, 28, 252, 80, 1, 6], [1, 15, 117, 21, 483, 63, 231, 87, 0, 6], [1, 15, 118, 14, 504, 28, 266, 66, 7, 5], [1, 16, 111, 35, 469, 63, 245, 73, 6, 5], [1, 16, 112, 28, 490, 28, 280, 52, 13, 4], [1, 17, 104, 56, 434, 98, 224, 80, 5, 5], [1, 17, 105, 49, 455, 63, 259, 59, 12, 4], [1, 17, 106, 42, 476, 28, 294, 38, 19, 3], [1, 18, 97, 77, 399, 133, 203, 87, 4, 5], [1, 18, 98, 70, 420, 98, 238, 66, 11, 4], [1, 18, 99, 63, 441, 63, 273, 45, 18, 3], [1, 18, 100, 56, 462, 28, 308, 24, 25, 2], [1, 19, 90, 98, 364, 168, 182, 94, 3, 5], [1, 19, 91, 91, 385, 133, 217, 73, 10, 4], [1, 19, 92, 84, 406, 98, 252, 52, 17, 3], [1, 19, 93, 77, 427, 63, 287, 31, 24, 2], [1, 19, 94, 70, 448, 28, 322, 10, 31, 1], [1, 20, 83, 119, 329, 203, 161, 101, 2, 5], [1, 20, 84, 112, 350, 168, 196, 80, 9, 4], [1, 20, 85, 105, 371, 133, 231, 59, 16, 3], [1, 20, 86, 98, 392, 98, 266, 38, 23, 2], [1, 20, 87, 91, 413, 63, 301, 17, 30, 1], [1, 21, 76, 140, 294, 238, 140, 108, 1, 5], [1, 21, 77, 133, 315, 203, 175, 87, 8, 4], [1, 21, 78, 126, 336, 168, 210, 66, 15, 3], [1, 21, 79, 119, 357, 133, 245, 45, 22, 2], [1, 21, 80, 112, 378, 98, 280, 24, 29, 1], [1, 21, 81, 105, 399, 63, 315, 3, 36, 0], [1, 22, 69, 161, 259, 273, 119, 115, 0, 5], [1, 22, 70, 154, 280, 238, 154, 94, 7, 4], [1, 22, 71, 147, 301, 203, 189, 73, 14, 3], [1, 22, 72, 140, 322, 168, 224, 52, 21, 2], [1, 22, 73, 133, 343, 133, 259, 31, 28, 1], [1, 22, 74, 126, 364, 98, 294, 10, 35, 0], [1, 23, 63, 175, 245, 273, 133, 101, 6, 4], [1, 23, 64, 168, 266, 238, 168, 80, 13, 3], [1, 23, 65, 161, 287, 203, 203, 59, 20, 2], [1, 23, 66, 154, 308, 168, 238, 38, 27, 1], [1, 23, 67, 147, 329, 133, 273, 17, 34, 0], [1, 24, 56, 196, 210, 308, 112, 108, 5, 4], [1, 24, 57, 189, 231, 273, 147, 87, 12, 3], [1, 24, 58, 182, 252, 238, 182, 66, 19, 2], [1, 24, 59, 175, 273, 203, 217, 45, 26, 1], [1, 24, 60, 168, 294, 168, 252, 24, 33, 0], [1, 25, 49, 217, 175, 343, 91, 115, 4, 4], [1, 25, 50, 210, 196, 308, 126, 94, 11, 3], [1, 25, 51, 203, 217, 273, 161, 73, 18, 2], [1, 25, 52, 196, 238, 238, 196, 52, 25, 1], [1, 25, 53, 189, 259, 203, 231, 31, 32, 0], [1, 26, 42, 238, 140, 378, 70, 122, 3, 4], [1, 26, 43, 231, 161, 343, 105, 101, 10, 3], [1, 26, 44, 224, 182, 308, 140, 80, 17, 2], [1, 26, 45, 217, 203, 273, 175, 59, 24, 1], [1, 26, 46, 210, 224, 238, 210, 38, 31, 0], [1, 27, 35, 259, 105, 413, 49, 129, 2, 4], [1, 27, 36, 252, 126, 378, 84, 108, 9, 3], [1, 27, 37, 245, 147, 343, 119, 87, 16, 2], [1, 27, 38, 238, 168, 308, 154, 66, 23, 1], [1, 27, 39, 231, 189, 273, 189, 45, 30, 0], [1, 28, 28, 280, 70, 448, 28, 136, 1, 4], [1, 28, 29, 273, 91, 413, 63, 115, 8, 3], [1, 28, 30, 266, 112, 378, 98, 94, 15, 2], [1, 28, 31, 259, 133, 343, 133, 73, 22, 1], [1, 28, 32, 252, 154, 308, 168, 52, 29, 0], [1, 29, 21, 301, 35, 483, 7, 143, 0, 4], [1, 29, 22, 294, 56, 448, 42, 122, 7, 3], [1, 29, 23, 287, 77, 413, 77, 101, 14, 2], [1, 29, 24, 280, 98, 378, 112, 80, 21, 1], [1, 29, 25, 273, 119, 343, 147, 59, 28, 0], [1, 30, 15, 315, 21, 483, 21, 129, 6, 3], [1, 30, 16, 308, 42, 448, 56, 108, 13, 2], [1, 30, 17, 301, 63, 413, 91, 87, 20, 1], [1, 30, 18, 294, 84, 378, 126, 66, 27, 0], [1, 31, 9, 329, 7, 483, 35, 115, 12, 2], [1, 31, 10, 322, 28, 448, 70, 94, 19, 1], [1, 31, 11, 315, 49, 413, 105, 73, 26, 0], [1, 32, 4, 336, 14, 448, 84, 80, 25, 0], [2, 9, 132, 0, 504, 42, 252, 72, 6, 5], [2, 10, 125, 21, 469, 77, 231, 79, 5, 5], [2, 10, 126, 14, 490, 42, 266, 58, 12, 4], [2, 10, 127, 7, 511, 7, 301, 37, 19, 3], [2, 11, 118, 42, 434, 112, 210, 86, 4, 5], [2, 11, 119, 35, 455, 77, 245, 65, 11, 4], [2, 11, 120, 28, 476, 42, 280, 44, 18, 3], [2, 11, 121, 21, 497, 7, 315, 23, 25, 2], [2, 12, 111, 63, 399, 147, 189, 93, 3, 5], [2, 12, 112, 56, 420, 112, 224, 72, 10, 4], [2, 12, 113, 49, 441, 77, 259, 51, 17, 3], [2, 12, 114, 42, 462, 42, 294, 30, 24, 2], [2, 12, 115, 35, 483, 7, 329, 9, 31, 1], [2, 13, 104, 84, 364, 182, 168, 100, 2, 5], [2, 13, 105, 77, 385, 147, 203, 79, 9, 4], [2, 13, 106, 70, 406, 112, 238, 58, 16, 3], [2, 13, 107, 63, 427, 77, 273, 37, 23, 2], [2, 13, 108, 56, 448, 42, 308, 16, 30, 1], [2, 14, 97, 105, 329, 217, 147, 107, 1, 5], [2, 14, 98, 98, 350, 182, 182, 86, 8, 4], [2, 14, 99, 91, 371, 147, 217, 65, 15, 3], [2, 14, 100, 84, 392, 112, 252, 44, 22, 2], [2, 14, 101, 77, 413, 77, 287, 23, 29, 1], [2, 14, 102, 70, 434, 42, 322, 2, 36, 0], [2, 15, 90, 126, 294, 252, 126, 114, 0, 5], [2, 15, 91, 119, 315, 217, 161, 93, 7, 4], [2, 15, 92, 112, 336, 182, 196, 72, 14, 3], [2, 15, 93, 105, 357, 147, 231, 51, 21, 2], [2, 15, 94, 98, 378, 112, 266, 30, 28, 1], [2, 15, 95, 91, 399, 77, 301, 9, 35, 0], [2, 16, 84, 140, 280, 252, 140, 100, 6, 4], [2, 16, 85, 133, 301, 217, 175, 79, 13, 3], [2, 16, 86, 126, 322, 182, 210, 58, 20, 2], [2, 16, 87, 119, 343, 147, 245, 37, 27, 1], [2, 16, 88, 112, 364, 112, 280, 16, 34, 0], [2, 17, 77, 161, 245, 287, 119, 107, 5, 4], [2, 17, 78, 154, 266, 252, 154, 86, 12, 3], [2, 17, 79, 147, 287, 217, 189, 65, 19, 2], [2, 17, 80, 140, 308, 182, 224, 44, 26, 1], [2, 17, 81, 133, 329, 147, 259, 23, 33, 0], [2, 18, 70, 182, 210, 322, 98, 114, 4, 4], [2, 18, 71, 175, 231, 287, 133, 93, 11, 3], [2, 18, 72, 168, 252, 252, 168, 72, 18, 2], [2, 18, 73, 161, 273, 217, 203, 51, 25, 1], [2, 18, 74, 154, 294, 182, 238, 30, 32, 0], [2, 19, 63, 203, 175, 357, 77, 121, 3, 4], [2, 19, 64, 196, 196, 322, 112, 100, 10, 3], [2, 19, 65, 189, 217, 287, 147, 79, 17, 2], [2, 19, 66, 182, 238, 252, 182, 58, 24, 1], [2, 19, 67, 175, 259, 217, 217, 37, 31, 0], [2, 20, 56, 224, 140, 392, 56, 128, 2, 4], [2, 20, 57, 217, 161, 357, 91, 107, 9, 3], [2, 20, 58, 210, 182, 322, 126, 86, 16, 2], [2, 20, 59, 203, 203, 287, 161, 65, 23, 1], [2, 20, 60, 196, 224, 252, 196, 44, 30, 0], [2, 21, 49, 245, 105, 427, 35, 135, 1, 4], [2, 21, 50, 238, 126, 392, 70, 114, 8, 3], [2, 21, 51, 231, 147, 357, 105, 93, 15, 2], [2, 21, 52, 224, 168, 322, 140, 72, 22, 1], [2, 21, 53, 217, 189, 287, 175, 51, 29, 0], [2, 22, 42, 266, 70, 462, 14, 142, 0, 4], [2, 22, 43, 259, 91, 427, 49, 121, 7, 3], [2, 22, 44, 252, 112, 392, 84, 100, 14, 2], [2, 22, 45, 245, 133, 357, 119, 79, 21, 1], [2, 22, 46, 238, 154, 322, 154, 58, 28, 0], [2, 23, 36, 280, 56, 462, 28, 128, 6, 3], [2, 23, 37, 273, 77, 427, 63, 107, 13, 2], [2, 23, 38, 266, 98, 392, 98, 86, 20, 1], [2, 23, 39, 259, 119, 357, 133, 65, 27, 0], [2, 24, 29, 301, 21, 497, 7, 135, 5, 3], [2, 24, 30, 294, 42, 462, 42, 114, 12, 2], [2, 24, 31, 287, 63, 427, 77, 93, 19, 1], [2, 24, 32, 280, 84, 392, 112, 72, 26, 0], [2, 25, 23, 315, 7, 497, 21, 121, 11, 2], [2, 25, 24, 308, 28, 462, 56, 100, 18, 1], [2, 25, 25, 301, 49, 427, 91, 79, 25, 0], [2, 26, 18, 322, 14, 462, 70, 86, 24, 0], [3, 4, 139, 7, 469, 91, 217, 85, 4, 5], [3, 4, 140, 0, 490, 56, 252, 64, 11, 4], [3, 5, 132, 28, 434, 126, 196, 92, 3, 5], [3, 5, 133, 21, 455, 91, 231, 71, 10, 4], [3, 5, 134, 14, 476, 56, 266, 50, 17, 3], [3, 5, 135, 7, 497, 21, 301, 29, 24, 2], [3, 6, 125, 49, 399, 161, 175, 99, 2, 5], [3, 6, 126, 42, 420, 126, 210, 78, 9, 4], [3, 6, 127, 35, 441, 91, 245, 57, 16, 3], [3, 6, 128, 28, 462, 56, 280, 36, 23, 2], [3, 6, 129, 21, 483, 21, 315, 15, 30, 1], [3, 7, 118, 70, 364, 196, 154, 106, 1, 5], [3, 7, 119, 63, 385, 161, 189, 85, 8, 4], [3, 7, 120, 56, 406, 126, 224, 64, 15, 3], [3, 7, 121, 49, 427, 91, 259, 43, 22, 2], [3, 7, 122, 42, 448, 56, 294, 22, 29, 1], [3, 7, 123, 35, 469, 21, 329, 1, 36, 0], [3, 8, 111, 91, 329, 231, 133, 113, 0, 5], [3, 8, 112, 84, 350, 196, 168, 92, 7, 4], [3, 8, 113, 77, 371, 161, 203, 71, 14, 3], [3, 8, 114, 70, 392, 126, 238, 50, 21, 2], [3, 8, 115, 63, 413, 91, 273, 29, 28, 1], [3, 8, 116, 56, 434, 56, 308, 8, 35, 0], [3, 9, 105, 105, 315, 231, 147, 99, 6, 4], [3, 9, 106, 98, 336, 196, 182, 78, 13, 3], [3, 9, 107, 91, 357, 161, 217, 57, 20, 2], [3, 9, 108, 84, 378, 126, 252, 36, 27, 1], [3, 9, 109, 77, 399, 91, 287, 15, 34, 0], [3, 10, 98, 126, 280, 266, 126, 106, 5, 4], [3, 10, 99, 119, 301, 231, 161, 85, 12, 3], [3, 10, 100, 112, 322, 196, 196, 64, 19, 2], [3, 10, 101, 105, 343, 161, 231, 43, 26, 1], [3, 10, 102, 98, 364, 126, 266, 22, 33, 0], [3, 11, 91, 147, 245, 301, 105, 113, 4, 4], [3, 11, 92, 140, 266, 266, 140, 92, 11, 3], [3, 11, 93, 133, 287, 231, 175, 71, 18, 2], [3, 11, 94, 126, 308, 196, 210, 50, 25, 1], [3, 11, 95, 119, 329, 161, 245, 29, 32, 0], [3, 12, 84, 168, 210, 336, 84, 120, 3, 4], [3, 12, 85, 161, 231, 301, 119, 99, 10, 3], [3, 12, 86, 154, 252, 266, 154, 78, 17, 2], [3, 12, 87, 147, 273, 231, 189, 57, 24, 1], [3, 12, 88, 140, 294, 196, 224, 36, 31, 0], [3, 13, 77, 189, 175, 371, 63, 127, 2, 4], [3, 13, 78, 182, 196, 336, 98, 106, 9, 3], [3, 13, 79, 175, 217, 301, 133, 85, 16, 2], [3, 13, 80, 168, 238, 266, 168, 64, 23, 1], [3, 13, 81, 161, 259, 231, 203, 43, 30, 0], [3, 14, 70, 210, 140, 406, 42, 134, 1, 4], [3, 14, 71, 203, 161, 371, 77, 113, 8, 3], [3, 14, 72, 196, 182, 336, 112, 92, 15, 2], [3, 14, 73, 189, 203, 301, 147, 71, 22, 1], [3, 14, 74, 182, 224, 266, 182, 50, 29, 0], [3, 15, 63, 231, 105, 441, 21, 141, 0, 4], [3, 15, 64, 224, 126, 406, 56, 120, 7, 3], [3, 15, 65, 217, 147, 371, 91, 99, 14, 2], [3, 15, 66, 210, 168, 336, 126, 78, 21, 1], [3, 15, 67, 203, 189, 301, 161, 57, 28, 0], [3, 16, 57, 245, 91, 441, 35, 127, 6, 3], [3, 16, 58, 238, 112, 406, 70, 106, 13, 2], [3, 16, 59, 231, 133, 371, 105, 85, 20, 1], [3, 16, 60, 224, 154, 336, 140, 64, 27, 0], [3, 17, 50, 266, 56, 476, 14, 134, 5, 3], [3, 17, 51, 259, 77, 441, 49, 113, 12, 2], [3, 17, 52, 252, 98, 406, 84, 92, 19, 1], [3, 17, 53, 245, 119, 371, 119, 71, 26, 0], [3, 18, 44, 280, 42, 476, 28, 120, 11, 2], [3, 18, 45, 273, 63, 441, 63, 99, 18, 1], [3, 18, 46, 266, 84, 406, 98, 78, 25, 0], [3, 19, 37, 301, 7, 511, 7, 127, 10, 2], [3, 19, 38, 294, 28, 476, 42, 106, 17, 1], [3, 19, 39, 287, 49, 441, 77, 85, 24, 0], [3, 20, 32, 308, 14, 476, 56, 92, 23, 0], [4, 0, 139, 35, 399, 175, 161, 105, 1, 5], [4, 0, 140, 28, 420, 140, 196, 84, 8, 4], [4, 0, 141, 21, 441, 105, 231, 63, 15, 3], [4, 0, 142, 14, 462, 70, 266, 42, 22, 2], [4, 0, 143, 7, 483, 35, 301, 21, 29, 1], [4, 0, 144, 0, 504, 0, 336, 0, 36, 0], [4, 1, 132, 56, 364, 210, 140, 112, 0, 5], [4, 1, 133, 49, 385, 175, 175, 91, 7, 4], [4, 1, 134, 42, 406, 140, 210, 70, 14, 3], [4, 1, 135, 35, 427, 105, 245, 49, 21, 2], [4, 1, 136, 28, 448, 70, 280, 28, 28, 1], [4, 1, 137, 21, 469, 35, 315, 7, 35, 0], [4, 2, 126, 70, 350, 210, 154, 98, 6, 4], [4, 2, 127, 63, 371, 175, 189, 77, 13, 3], [4, 2, 128, 56, 392, 140, 224, 56, 20, 2], [4, 2, 129, 49, 413, 105, 259, 35, 27, 1], [4, 2, 130, 42, 434, 70, 294, 14, 34, 0], [4, 3, 119, 91, 315, 245, 133, 105, 5, 4], [4, 3, 120, 84, 336, 210, 168, 84, 12, 3], [4, 3, 121, 77, 357, 175, 203, 63, 19, 2], [4, 3, 122, 70, 378, 140, 238, 42, 26, 1], [4, 3, 123, 63, 399, 105, 273, 21, 33, 0], [4, 4, 112, 112, 280, 280, 112, 112, 4, 4], [4, 4, 113, 105, 301, 245, 147, 91, 11, 3], [4, 4, 114, 98, 322, 210, 182, 70, 18, 2], [4, 4, 115, 91, 343, 175, 217, 49, 25, 1], [4, 4, 116, 84, 364, 140, 252, 28, 32, 0], [4, 5, 105, 133, 245, 315, 91, 119, 3, 4], [4, 5, 106, 126, 266, 280, 126, 98, 10, 3], [4, 5, 107, 119, 287, 245, 161, 77, 17, 2], [4, 5, 108, 112, 308, 210, 196, 56, 24, 1], [4, 5, 109, 105, 329, 175, 231, 35, 31, 0], [4, 6, 98, 154, 210, 350, 70, 126, 2, 4], [4, 6, 99, 147, 231, 315, 105, 105, 9, 3], [4, 6, 100, 140, 252, 280, 140, 84, 16, 2], [4, 6, 101, 133, 273, 245, 175, 63, 23, 1], [4, 6, 102, 126, 294, 210, 210, 42, 30, 0], [4, 7, 91, 175, 175, 385, 49, 133, 1, 4], [4, 7, 92, 168, 196, 350, 84, 112, 8, 3], [4, 7, 93, 161, 217, 315, 119, 91, 15, 2], [4, 7, 94, 154, 238, 280, 154, 70, 22, 1], [4, 7, 95, 147, 259, 245, 189, 49, 29, 0], [4, 8, 84, 196, 140, 420, 28, 140, 0, 4], [4, 8, 85, 189, 161, 385, 63, 119, 7, 3], [4, 8, 86, 182, 182, 350, 98, 98, 14, 2], [4, 8, 87, 175, 203, 315, 133, 77, 21, 1], [4, 8, 88, 168, 224, 280, 168, 56, 28, 0], [4, 9, 78, 210, 126, 420, 42, 126, 6, 3], [4, 9, 79, 203, 147, 385, 77, 105, 13, 2], [4, 9, 80, 196, 168, 350, 112, 84, 20, 1], [4, 9, 81, 189, 189, 315, 147, 63, 27, 0], [4, 10, 71, 231, 91, 455, 21, 133, 5, 3], [4, 10, 72, 224, 112, 420, 56, 112, 12, 2], [4, 10, 73, 217, 133, 385, 91, 91, 19, 1], [4, 10, 74, 210, 154, 350, 126, 70, 26, 0], [4, 11, 64, 252, 56, 490, 0, 140, 4, 3], [4, 11, 65, 245, 77, 455, 35, 119, 11, 2], [4, 11, 66, 238, 98, 420, 70, 98, 18, 1], [4, 11, 67, 231, 119, 385, 105, 77, 25, 0], [4, 12, 58, 266, 42, 490, 14, 126, 10, 2], [4, 12, 59, 259, 63, 455, 49, 105, 17, 1], [4, 12, 60, 252, 84, 420, 84, 84, 24, 0], [4, 13, 52, 280, 28, 490, 28, 112, 16, 1], [4, 13, 53, 273, 49, 455, 63, 91, 23, 0], [4, 14, 46, 294, 14, 490, 42, 98, 22, 0], [5, 0, 112, 140, 210, 364, 56, 132, 1, 4], [5, 0, 113, 133, 231, 329, 91, 111, 8, 3], [5, 0, 114, 126, 252, 294, 126, 90, 15, 2], [5, 0, 115, 119, 273, 259, 161, 69, 22, 1], [5, 0, 116, 112, 294, 224, 196, 48, 29, 0], [5, 1, 105, 161, 175, 399, 35, 139, 0, 4], [5, 1, 106, 154, 196, 364, 70, 118, 7, 3], [5, 1, 107, 147, 217, 329, 105, 97, 14, 2], [5, 1, 108, 140, 238, 294, 140, 76, 21, 1], [5, 1, 109, 133, 259, 259, 175, 55, 28, 0], [5, 2, 99, 175, 161, 399, 49, 125, 6, 3], [5, 2, 100, 168, 182, 364, 84, 104, 13, 2], [5, 2, 101, 161, 203, 329, 119, 83, 20, 1], [5, 2, 102, 154, 224, 294, 154, 62, 27, 0], [5, 3, 92, 196, 126, 434, 28, 132, 5, 3], [5, 3, 93, 189, 147, 399, 63, 111, 12, 2], [5, 3, 94, 182, 168, 364, 98, 90, 19, 1], [5, 3, 95, 175, 189, 329, 133, 69, 26, 0], [5, 4, 85, 217, 91, 469, 7, 139, 4, 3], [5, 4, 86, 210, 112, 434, 42, 118, 11, 2], [5, 4, 87, 203, 133, 399, 77, 97, 18, 1], [5, 4, 88, 196, 154, 364, 112, 76, 25, 0], [5, 5, 79, 231, 77, 469, 21, 125, 10, 2], [5, 5, 80, 224, 98, 434, 56, 104, 17, 1], [5, 5, 81, 217, 119, 399, 91, 83, 24, 0], [5, 6, 72, 252, 42, 504, 0, 132, 9, 2], [5, 6, 73, 245, 63, 469, 35, 111, 16, 1], [5, 6, 74, 238, 84, 434, 70, 90, 23, 0], [5, 7, 66, 266, 28, 504, 14, 118, 15, 1], [5, 7, 67, 259, 49, 469, 49, 97, 22, 0], [5, 8, 60, 280, 14, 504, 28, 104, 21, 0], [6, 0, 87, 231, 63, 483, 21, 117, 15, 1], [6, 0, 88, 224, 84, 448, 56, 96, 22, 0], [6, 1, 80, 252, 28, 518, 0, 124, 14, 1], [6, 1, 81, 245, 49, 483, 35, 103, 21, 0], [6, 2, 74, 266, 14, 518, 14, 110, 20, 0]}
(10, 1024, 6) has 1645 possible DDs: {[0, 5, 92, 12, 280, 350, 0, 268, 8, 5, 4], [0, 5, 93, 5, 301, 315, 35, 247, 15, 4, 4], [0, 6, 86, 26, 266, 350, 14, 254, 14, 4, 4], [0, 6, 87, 19, 287, 315, 49, 233, 21, 3, 4], [0, 6, 87, 20, 280, 336, 14, 268, 0, 10, 3], [0, 6, 88, 12, 308, 280, 84, 212, 28, 2, 4], [0, 6, 88, 13, 301, 301, 49, 247, 7, 9, 3], [0, 6, 89, 5, 329, 245, 119, 191, 35, 1, 4], [0, 6, 89, 6, 322, 266, 84, 226, 14, 8, 3], [0, 6, 90, 0, 336, 252, 84, 240, 0, 14, 2], [0, 7, 80, 40, 252, 350, 28, 240, 20, 3, 4], [0, 7, 81, 33, 273, 315, 63, 219, 27, 2, 4], [0, 7, 81, 34, 266, 336, 28, 254, 6, 9, 3], [0, 7, 82, 26, 294, 280, 98, 198, 34, 1, 4], [0, 7, 82, 27, 287, 301, 63, 233, 13, 8, 3], [0, 7, 83, 19, 315, 245, 133, 177, 41, 0, 4], [0, 7, 83, 20, 308, 266, 98, 212, 20, 7, 3], [0, 7, 84, 13, 329, 231, 133, 191, 27, 6, 3], [0, 7, 84, 14, 322, 252, 98, 226, 6, 13, 2], [0, 7, 85, 6, 350, 196, 168, 170, 34, 5, 3], [0, 7, 85, 7, 343, 217, 133, 205, 13, 12, 2], [0, 7, 86, 0, 364, 182, 168, 184, 20, 11, 2], [0, 8, 73, 61, 217, 385, 7, 247, 19, 3, 4], [0, 8, 74, 54, 238, 350, 42, 226, 26, 2, 4], [0, 8, 74, 55, 231, 371, 7, 261, 5, 9, 3], [0, 8, 75, 47, 259, 315, 77, 205, 33, 1, 4], [0, 8, 75, 48, 252, 336, 42, 240, 12, 8, 3], [0, 8, 76, 40, 280, 280, 112, 184, 40, 0, 4], [0, 8, 76, 41, 273, 301, 77, 219, 19, 7, 3], [0, 8, 77, 34, 294, 266, 112, 198, 26, 6, 3], [0, 8, 77, 35, 287, 287, 77, 233, 5, 13, 2], [0, 8, 78, 27, 315, 231, 147, 177, 33, 5, 3], [0, 8, 78, 28, 308, 252, 112, 212, 12, 12, 2], [0, 8, 79, 20, 336, 196, 182, 156, 40, 4, 3], [0, 8, 79, 21, 329, 217, 147, 191, 19, 11, 2], [0, 8, 80, 13, 357, 161, 217, 135, 47, 3, 3], [0, 8, 80, 14, 350, 182, 182, 170, 26, 10, 2], [0, 8, 80, 15, 343, 203, 147, 205, 5, 17, 1], [0, 8, 81, 6, 378, 126, 252, 114, 54, 2, 3], [0, 8, 81, 7, 371, 147, 217, 149, 33, 9, 2], [0, 8, 81, 8, 364, 168, 182, 184, 12, 16, 1], [0, 8, 82, 0, 392, 112, 252, 128, 40, 8, 2], [0, 8, 82, 1, 385, 133, 217, 163, 19, 15, 1], [0, 9, 67, 75, 203, 385, 21, 233, 25, 2, 4], [0, 9, 68, 68, 224, 350, 56, 212, 32, 1, 4], [0, 9, 68, 69, 217, 371, 21, 247, 11, 8, 3], [0, 9, 69, 61, 245, 315, 91, 191, 39, 0, 4], [0, 9, 69, 62, 238, 336, 56, 226, 18, 7, 3], [0, 9, 70, 55, 259, 301, 91, 205, 25, 6, 3], [0, 9, 70, 56, 252, 322, 56, 240, 4, 13, 2], [0, 9, 71, 48, 280, 266, 126, 184, 32, 5, 3], [0, 9, 71, 49, 273, 287, 91, 219, 11, 12, 2], [0, 9, 72, 41, 301, 231, 161, 163, 39, 4, 3], [0, 9, 72, 42, 294, 252, 126, 198, 18, 11, 2], [0, 9, 73, 34, 322, 196, 196, 142, 46, 3, 3], [0, 9, 73, 35, 315, 217, 161, 177, 25, 10, 2], [0, 9, 73, 36, 308, 238, 126, 212, 4, 17, 1], [0, 9, 74, 27, 343, 161, 231, 121, 53, 2, 3], [0, 9, 74, 28, 336, 182, 196, 156, 32, 9, 2], [0, 9, 74, 29, 329, 203, 161, 191, 11, 16, 1], [0, 9, 75, 20, 364, 126, 266, 100, 60, 1, 3], [0, 9, 75, 21, 357, 147, 231, 135, 39, 8, 2], [0, 9, 75, 22, 350, 168, 196, 170, 18, 15, 1], [0, 9, 76, 13, 385, 91, 301, 79, 67, 0, 3], [0, 9, 76, 14, 378, 112, 266, 114, 46, 7, 2], [0, 9, 76, 15, 371, 133, 231, 149, 25, 14, 1], [0, 9, 76, 16, 364, 154, 196, 184, 4, 21, 0], [0, 9, 77, 7, 399, 77, 301, 93, 53, 6, 2], [0, 9, 77, 8, 392, 98, 266, 128, 32, 13, 1], [0, 9, 77, 9, 385, 119, 231, 163, 11, 20, 0], [0, 9, 78, 0, 420, 42, 336, 72, 60, 5, 2], [0, 9, 78, 1, 413, 63, 301, 107, 39, 12, 1], [0, 9, 78, 2, 406, 84, 266, 142, 18, 19, 0], [0, 10, 60, 96, 168, 420, 0, 240, 24, 2, 4], [0, 10, 61, 89, 189, 385, 35, 219, 31, 1, 4], [0, 10, 61, 90, 182, 406, 0, 254, 10, 8, 3], [0, 10, 62, 82, 210, 350, 70, 198, 38, 0, 4], [0, 10, 62, 83, 203, 371, 35, 233, 17, 7, 3], [0, 10, 63, 76, 224, 336, 70, 212, 24, 6, 3], [0, 10, 63, 77, 217, 357, 35, 247, 3, 13, 2], [0, 10, 64, 69, 245, 301, 105, 191, 31, 5, 3], [0, 10, 64, 70, 238, 322, 70, 226, 10, 12, 2], [0, 10, 65, 62, 266, 266, 140, 170, 38, 4, 3], [0, 10, 65, 63, 259, 287, 105, 205, 17, 11, 2], [0, 10, 66, 55, 287, 231, 175, 149, 45, 3, 3], [0, 10, 66, 56, 280, 252, 140, 184, 24, 10, 2], [0, 10, 66, 57, 273, 273, 105, 219, 3, 17, 1], [0, 10, 67, 48, 308, 196, 210, 128, 52, 2, 3], [0, 10, 67, 49, 301, 217, 175, 163, 31, 9, 2], [0, 10, 67, 50, 294, 238, 140, 198, 10, 16, 1], [0, 10, 68, 41, 329, 161, 245, 107, 59, 1, 3], [0, 10, 68, 42, 322, 182, 210, 142, 38, 8, 2], [0, 10, 68, 43, 315, 203, 175, 177, 17, 15, 1], [0, 10, 69, 34, 350, 126, 280, 86, 66, 0, 3], [0, 10, 69, 35, 343, 147, 245, 121, 45, 7, 2], [0, 10, 69, 36, 336, 168, 210, 156, 24, 14, 1], [0, 10, 69, 37, 329, 189, 175, 191, 3, 21, 0], [0, 10, 70, 28, 364, 112, 280, 100, 52, 6, 2], [0, 10, 70, 29, 357, 133, 245, 135, 31, 13, 1], [0, 10, 70, 30, 350, 154, 210, 170, 10, 20, 0], [0, 10, 71, 21, 385, 77, 315, 79, 59, 5, 2], [0, 10, 71, 22, 378, 98, 280, 114, 38, 12, 1], [0, 10, 71, 23, 371, 119, 245, 149, 17, 19, 0], [0, 10, 72, 14, 406, 42, 350, 58, 66, 4, 2], [0, 10, 72, 15, 399, 63, 315, 93, 45, 11, 1], [0, 10, 72, 16, 392, 84, 280, 128, 24, 18, 0], [0, 10, 73, 7, 427, 7, 385, 37, 73, 3, 2], [0, 10, 73, 8, 420, 28, 350, 72, 52, 10, 1], [0, 10, 73, 9, 413, 49, 315, 107, 31, 17, 0], [0, 10, 74, 2, 434, 14, 350, 86, 38, 16, 0], [0, 11, 54, 110, 154, 420, 14, 226, 30, 1, 4], [0, 11, 55, 103, 175, 385, 49, 205, 37, 0, 4], [0, 11, 55, 104, 168, 406, 14, 240, 16, 7, 3], [0, 11, 56, 97, 189, 371, 49, 219, 23, 6, 3], [0, 11, 56, 98, 182, 392, 14, 254, 2, 13, 2], [0, 11, 57, 90, 210, 336, 84, 198, 30, 5, 3], [0, 11, 57, 91, 203, 357, 49, 233, 9, 12, 2], [0, 11, 58, 83, 231, 301, 119, 177, 37, 4, 3], [0, 11, 58, 84, 224, 322, 84, 212, 16, 11, 2], [0, 11, 59, 76, 252, 266, 154, 156, 44, 3, 3], [0, 11, 59, 77, 245, 287, 119, 191, 23, 10, 2], [0, 11, 59, 78, 238, 308, 84, 226, 2, 17, 1], [0, 11, 60, 69, 273, 231, 189, 135, 51, 2, 3], [0, 11, 60, 70, 266, 252, 154, 170, 30, 9, 2], [0, 11, 60, 71, 259, 273, 119, 205, 9, 16, 1], [0, 11, 61, 62, 294, 196, 224, 114, 58, 1, 3], [0, 11, 61, 63, 287, 217, 189, 149, 37, 8, 2], [0, 11, 61, 64, 280, 238, 154, 184, 16, 15, 1], [0, 11, 62, 55, 315, 161, 259, 93, 65, 0, 3], [0, 11, 62, 56, 308, 182, 224, 128, 44, 7, 2], [0, 11, 62, 57, 301, 203, 189, 163, 23, 14, 1], [0, 11, 62, 58, 294, 224, 154, 198, 2, 21, 0], [0, 11, 63, 49, 329, 147, 259, 107, 51, 6, 2], [0, 11, 63, 50, 322, 168, 224, 142, 30, 13, 1], [0, 11, 63, 51, 315, 189, 189, 177, 9, 20, 0], [0, 11, 64, 42, 350, 112, 294, 86, 58, 5, 2], [0, 11, 64, 43, 343, 133, 259, 121, 37, 12, 1], [0, 11, 64, 44, 336, 154, 224, 156, 16, 19, 0], [0, 11, 65, 35, 371, 77, 329, 65, 65, 4, 2], [0, 11, 65, 36, 364, 98, 294, 100, 44, 11, 1], [0, 11, 65, 37, 357, 119, 259, 135, 23, 18, 0], [0, 11, 66, 28, 392, 42, 364, 44, 72, 3, 2], [0, 11, 66, 29, 385, 63, 329, 79, 51, 10, 1], [0, 11, 66, 30, 378, 84, 294, 114, 30, 17, 0], [0, 11, 67, 21, 413, 7, 399, 23, 79, 2, 2], [0, 11, 67, 22, 406, 28, 364, 58, 58, 9, 1], [0, 11, 67, 23, 399, 49, 329, 93, 37, 16, 0], [0, 11, 68, 16, 420, 14, 364, 72, 44, 15, 0], [0, 12, 48, 124, 140, 420, 28, 212, 36, 0, 4], [0, 12, 49, 118, 154, 406, 28, 226, 22, 6, 3], [0, 12, 50, 111, 175, 371, 63, 205, 29, 5, 3], [0, 12, 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287, 21, 91, 2, 1], [2, 13, 4, 240, 56, 322, 252, 56, 70, 9, 0], [2, 13, 5, 232, 84, 266, 322, 0, 98, 1, 1], [2, 13, 5, 233, 77, 287, 287, 35, 77, 8, 0], [2, 13, 6, 226, 98, 252, 322, 14, 84, 7, 0], [2, 14, 0, 240, 84, 252, 336, 0, 90, 6, 0], [3, 0, 53, 174, 28, 518, 0, 202, 41, 2, 3], [3, 0, 54, 167, 49, 483, 35, 181, 48, 1, 3], [3, 0, 54, 168, 42, 504, 0, 216, 27, 8, 2], [3, 0, 55, 160, 70, 448, 70, 160, 55, 0, 3], [3, 0, 55, 161, 63, 469, 35, 195, 34, 7, 2], [3, 0, 55, 162, 56, 490, 0, 230, 13, 14, 1], [3, 0, 56, 154, 84, 434, 70, 174, 41, 6, 2], [3, 0, 56, 155, 77, 455, 35, 209, 20, 13, 1], [3, 0, 57, 147, 105, 399, 105, 153, 48, 5, 2], [3, 0, 57, 148, 98, 420, 70, 188, 27, 12, 1], [3, 0, 57, 149, 91, 441, 35, 223, 6, 19, 0], [3, 0, 58, 140, 126, 364, 140, 132, 55, 4, 2], [3, 0, 58, 141, 119, 385, 105, 167, 34, 11, 1], [3, 0, 58, 142, 112, 406, 70, 202, 13, 18, 0], [3, 0, 59, 133, 147, 329, 175, 111, 62, 3, 2], [3, 0, 59, 134, 140, 350, 140, 146, 41, 10, 1], [3, 0, 59, 135, 133, 371, 105, 181, 20, 17, 0], [3, 0, 60, 126, 168, 294, 210, 90, 69, 2, 2], [3, 0, 60, 127, 161, 315, 175, 125, 48, 9, 1], [3, 0, 60, 128, 154, 336, 140, 160, 27, 16, 0], [3, 0, 61, 119, 189, 259, 245, 69, 76, 1, 2], [3, 0, 61, 120, 182, 280, 210, 104, 55, 8, 1], [3, 0, 61, 121, 175, 301, 175, 139, 34, 15, 0], [3, 0, 62, 112, 210, 224, 280, 48, 83, 0, 2], [3, 0, 62, 113, 203, 245, 245, 83, 62, 7, 1], [3, 0, 62, 114, 196, 266, 210, 118, 41, 14, 0], [3, 0, 63, 106, 224, 210, 280, 62, 69, 6, 1], [3, 0, 63, 107, 217, 231, 245, 97, 48, 13, 0], [3, 0, 64, 99, 245, 175, 315, 41, 76, 5, 1], [3, 0, 64, 100, 238, 196, 280, 76, 55, 12, 0], [3, 0, 65, 92, 266, 140, 350, 20, 83, 4, 1], [3, 0, 65, 93, 259, 161, 315, 55, 62, 11, 0], [3, 0, 66, 86, 280, 126, 350, 34, 69, 10, 0], [3, 0, 67, 79, 301, 91, 385, 13, 76, 9, 0], [3, 1, 47, 188, 14, 518, 14, 188, 47, 1, 3], [3, 1, 48, 181, 35, 483, 49, 167, 54, 0, 3], [3, 1, 48, 182, 28, 504, 14, 202, 33, 7, 2], [3, 1, 49, 175, 49, 469, 49, 181, 40, 6, 2], [3, 1, 49, 176, 42, 490, 14, 216, 19, 13, 1], [3, 1, 50, 168, 70, 434, 84, 160, 47, 5, 2], [3, 1, 50, 169, 63, 455, 49, 195, 26, 12, 1], [3, 1, 50, 170, 56, 476, 14, 230, 5, 19, 0], [3, 1, 51, 161, 91, 399, 119, 139, 54, 4, 2], [3, 1, 51, 162, 84, 420, 84, 174, 33, 11, 1], [3, 1, 51, 163, 77, 441, 49, 209, 12, 18, 0], [3, 1, 52, 154, 112, 364, 154, 118, 61, 3, 2], [3, 1, 52, 155, 105, 385, 119, 153, 40, 10, 1], [3, 1, 52, 156, 98, 406, 84, 188, 19, 17, 0], [3, 1, 53, 147, 133, 329, 189, 97, 68, 2, 2], [3, 1, 53, 148, 126, 350, 154, 132, 47, 9, 1], [3, 1, 53, 149, 119, 371, 119, 167, 26, 16, 0], [3, 1, 54, 140, 154, 294, 224, 76, 75, 1, 2], [3, 1, 54, 141, 147, 315, 189, 111, 54, 8, 1], [3, 1, 54, 142, 140, 336, 154, 146, 33, 15, 0], [3, 1, 55, 133, 175, 259, 259, 55, 82, 0, 2], [3, 1, 55, 134, 168, 280, 224, 90, 61, 7, 1], [3, 1, 55, 135, 161, 301, 189, 125, 40, 14, 0], [3, 1, 56, 127, 189, 245, 259, 69, 68, 6, 1], [3, 1, 56, 128, 182, 266, 224, 104, 47, 13, 0], [3, 1, 57, 120, 210, 210, 294, 48, 75, 5, 1], [3, 1, 57, 121, 203, 231, 259, 83, 54, 12, 0], [3, 1, 58, 113, 231, 175, 329, 27, 82, 4, 1], [3, 1, 58, 114, 224, 196, 294, 62, 61, 11, 0], [3, 1, 59, 106, 252, 140, 364, 6, 89, 3, 1], [3, 1, 59, 107, 245, 161, 329, 41, 68, 10, 0], [3, 1, 60, 100, 266, 126, 364, 20, 75, 9, 0], [3, 2, 41, 202, 0, 518, 28, 174, 53, 0, 3], [3, 2, 42, 196, 14, 504, 28, 188, 39, 6, 2], [3, 2, 43, 189, 35, 469, 63, 167, 46, 5, 2], [3, 2, 43, 190, 28, 490, 28, 202, 25, 12, 1], [3, 2, 44, 182, 56, 434, 98, 146, 53, 4, 2], [3, 2, 44, 183, 49, 455, 63, 181, 32, 11, 1], [3, 2, 44, 184, 42, 476, 28, 216, 11, 18, 0], [3, 2, 45, 175, 77, 399, 133, 125, 60, 3, 2], [3, 2, 45, 176, 70, 420, 98, 160, 39, 10, 1], [3, 2, 45, 177, 63, 441, 63, 195, 18, 17, 0], [3, 2, 46, 168, 98, 364, 168, 104, 67, 2, 2], [3, 2, 46, 169, 91, 385, 133, 139, 46, 9, 1], [3, 2, 46, 170, 84, 406, 98, 174, 25, 16, 0], [3, 2, 47, 161, 119, 329, 203, 83, 74, 1, 2], [3, 2, 47, 162, 112, 350, 168, 118, 53, 8, 1], [3, 2, 47, 163, 105, 371, 133, 153, 32, 15, 0], [3, 2, 48, 154, 140, 294, 238, 62, 81, 0, 2], [3, 2, 48, 155, 133, 315, 203, 97, 60, 7, 1], [3, 2, 48, 156, 126, 336, 168, 132, 39, 14, 0], [3, 2, 49, 148, 154, 280, 238, 76, 67, 6, 1], [3, 2, 49, 149, 147, 301, 203, 111, 46, 13, 0], [3, 2, 50, 141, 175, 245, 273, 55, 74, 5, 1], [3, 2, 50, 142, 168, 266, 238, 90, 53, 12, 0], [3, 2, 51, 134, 196, 210, 308, 34, 81, 4, 1], [3, 2, 51, 135, 189, 231, 273, 69, 60, 11, 0], [3, 2, 52, 127, 217, 175, 343, 13, 88, 3, 1], [3, 2, 52, 128, 210, 196, 308, 48, 67, 10, 0], [3, 2, 53, 121, 231, 161, 343, 27, 74, 9, 0], [3, 2, 54, 114, 252, 126, 378, 6, 81, 8, 0], [3, 3, 36, 210, 0, 504, 42, 174, 45, 5, 2], [3, 3, 37, 203, 21, 469, 77, 153, 52, 4, 2], [3, 3, 37, 204, 14, 490, 42, 188, 31, 11, 1], [3, 3, 37, 205, 7, 511, 7, 223, 10, 18, 0], [3, 3, 38, 196, 42, 434, 112, 132, 59, 3, 2], [3, 3, 38, 197, 35, 455, 77, 167, 38, 10, 1], [3, 3, 38, 198, 28, 476, 42, 202, 17, 17, 0], [3, 3, 39, 189, 63, 399, 147, 111, 66, 2, 2], [3, 3, 39, 190, 56, 420, 112, 146, 45, 9, 1], [3, 3, 39, 191, 49, 441, 77, 181, 24, 16, 0], [3, 3, 40, 182, 84, 364, 182, 90, 73, 1, 2], [3, 3, 40, 183, 77, 385, 147, 125, 52, 8, 1], [3, 3, 40, 184, 70, 406, 112, 160, 31, 15, 0], [3, 3, 41, 175, 105, 329, 217, 69, 80, 0, 2], [3, 3, 41, 176, 98, 350, 182, 104, 59, 7, 1], [3, 3, 41, 177, 91, 371, 147, 139, 38, 14, 0], [3, 3, 42, 169, 119, 315, 217, 83, 66, 6, 1], [3, 3, 42, 170, 112, 336, 182, 118, 45, 13, 0], [3, 3, 43, 162, 140, 280, 252, 62, 73, 5, 1], [3, 3, 43, 163, 133, 301, 217, 97, 52, 12, 0], [3, 3, 44, 155, 161, 245, 287, 41, 80, 4, 1], [3, 3, 44, 156, 154, 266, 252, 76, 59, 11, 0], [3, 3, 45, 148, 182, 210, 322, 20, 87, 3, 1], [3, 3, 45, 149, 175, 231, 287, 55, 66, 10, 0], [3, 3, 46, 142, 196, 196, 322, 34, 73, 9, 0], [3, 3, 47, 135, 217, 161, 357, 13, 80, 8, 0], [3, 4, 31, 217, 7, 469, 91, 139, 58, 3, 2], [3, 4, 31, 218, 0, 490, 56, 174, 37, 10, 1], [3, 4, 32, 210, 28, 434, 126, 118, 65, 2, 2], [3, 4, 32, 211, 21, 455, 91, 153, 44, 9, 1], [3, 4, 32, 212, 14, 476, 56, 188, 23, 16, 0], [3, 4, 33, 203, 49, 399, 161, 97, 72, 1, 2], [3, 4, 33, 204, 42, 420, 126, 132, 51, 8, 1], [3, 4, 33, 205, 35, 441, 91, 167, 30, 15, 0], [3, 4, 34, 196, 70, 364, 196, 76, 79, 0, 2], [3, 4, 34, 197, 63, 385, 161, 111, 58, 7, 1], [3, 4, 34, 198, 56, 406, 126, 146, 37, 14, 0], [3, 4, 35, 190, 84, 350, 196, 90, 65, 6, 1], [3, 4, 35, 191, 77, 371, 161, 125, 44, 13, 0], [3, 4, 36, 183, 105, 315, 231, 69, 72, 5, 1], [3, 4, 36, 184, 98, 336, 196, 104, 51, 12, 0], [3, 4, 37, 176, 126, 280, 266, 48, 79, 4, 1], [3, 4, 37, 177, 119, 301, 231, 83, 58, 11, 0], [3, 4, 38, 169, 147, 245, 301, 27, 86, 3, 1], [3, 4, 38, 170, 140, 266, 266, 62, 65, 10, 0], [3, 4, 39, 162, 168, 210, 336, 6, 93, 2, 1], [3, 4, 39, 163, 161, 231, 301, 41, 72, 9, 0], [3, 4, 40, 156, 182, 196, 336, 20, 79, 8, 0], [3, 5, 26, 224, 14, 434, 140, 104, 71, 1, 2], [3, 5, 26, 225, 7, 455, 105, 139, 50, 8, 1], [3, 5, 26, 226, 0, 476, 70, 174, 29, 15, 0], [3, 5, 27, 217, 35, 399, 175, 83, 78, 0, 2], [3, 5, 27, 218, 28, 420, 140, 118, 57, 7, 1], [3, 5, 27, 219, 21, 441, 105, 153, 36, 14, 0], [3, 5, 28, 211, 49, 385, 175, 97, 64, 6, 1], [3, 5, 28, 212, 42, 406, 140, 132, 43, 13, 0], [3, 5, 29, 204, 70, 350, 210, 76, 71, 5, 1], [3, 5, 29, 205, 63, 371, 175, 111, 50, 12, 0], [3, 5, 30, 197, 91, 315, 245, 55, 78, 4, 1], [3, 5, 30, 198, 84, 336, 210, 90, 57, 11, 0], [3, 5, 31, 190, 112, 280, 280, 34, 85, 3, 1], [3, 5, 31, 191, 105, 301, 245, 69, 64, 10, 0], [3, 5, 32, 183, 133, 245, 315, 13, 92, 2, 1], [3, 5, 32, 184, 126, 266, 280, 48, 71, 9, 0], [3, 5, 33, 177, 147, 231, 315, 27, 78, 8, 0], [3, 5, 34, 170, 168, 196, 350, 6, 85, 7, 0], [3, 6, 20, 238, 0, 434, 154, 90, 77, 0, 2], [3, 6, 21, 232, 14, 420, 154, 104, 63, 6, 1], [3, 6, 21, 233, 7, 441, 119, 139, 42, 13, 0], [3, 6, 22, 225, 35, 385, 189, 83, 70, 5, 1], [3, 6, 22, 226, 28, 406, 154, 118, 49, 12, 0], [3, 6, 23, 218, 56, 350, 224, 62, 77, 4, 1], [3, 6, 23, 219, 49, 371, 189, 97, 56, 11, 0], [3, 6, 24, 211, 77, 315, 259, 41, 84, 3, 1], [3, 6, 24, 212, 70, 336, 224, 76, 63, 10, 0], [3, 6, 25, 204, 98, 280, 294, 20, 91, 2, 1], [3, 6, 25, 205, 91, 301, 259, 55, 70, 9, 0], [3, 6, 26, 198, 112, 266, 294, 34, 77, 8, 0], [3, 6, 27, 191, 133, 231, 329, 13, 84, 7, 0], [3, 7, 15, 246, 0, 420, 168, 90, 69, 5, 1], [3, 7, 16, 239, 21, 385, 203, 69, 76, 4, 1], [3, 7, 16, 240, 14, 406, 168, 104, 55, 11, 0], [3, 7, 17, 232, 42, 350, 238, 48, 83, 3, 1], [3, 7, 17, 233, 35, 371, 203, 83, 62, 10, 0], [3, 7, 18, 225, 63, 315, 273, 27, 90, 2, 1], [3, 7, 18, 226, 56, 336, 238, 62, 69, 9, 0], [3, 7, 19, 218, 84, 280, 308, 6, 97, 1, 1], [3, 7, 19, 219, 77, 301, 273, 41, 76, 8, 0], [3, 7, 20, 212, 98, 266, 308, 20, 83, 7, 0], [3, 8, 10, 253, 7, 385, 217, 55, 82, 3, 1], [3, 8, 10, 254, 0, 406, 182, 90, 61, 10, 0], [3, 8, 11, 246, 28, 350, 252, 34, 89, 2, 1], [3, 8, 11, 247, 21, 371, 217, 69, 68, 9, 0], [3, 8, 12, 239, 49, 315, 287, 13, 96, 1, 1], [3, 8, 12, 240, 42, 336, 252, 48, 75, 8, 0], [3, 8, 13, 233, 63, 301, 287, 27, 82, 7, 0], [3, 8, 14, 226, 84, 266, 322, 6, 89, 6, 0], [3, 9, 5, 260, 14, 350, 266, 20, 95, 1, 1], [3, 9, 5, 261, 7, 371, 231, 55, 74, 8, 0], [3, 9, 6, 254, 28, 336, 266, 34, 81, 7, 0], [3, 9, 7, 247, 49, 301, 301, 13, 88, 6, 0], [3, 10, 0, 268, 14, 336, 280, 20, 87, 6, 0], [4, 0, 34, 224, 0, 448, 140, 96, 76, 0, 2], [4, 0, 35, 218, 14, 434, 140, 110, 62, 6, 1], [4, 0, 35, 219, 7, 455, 105, 145, 41, 13, 0], [4, 0, 36, 211, 35, 399, 175, 89, 69, 5, 1], [4, 0, 36, 212, 28, 420, 140, 124, 48, 12, 0], [4, 0, 37, 204, 56, 364, 210, 68, 76, 4, 1], [4, 0, 37, 205, 49, 385, 175, 103, 55, 11, 0], [4, 0, 38, 197, 77, 329, 245, 47, 83, 3, 1], [4, 0, 38, 198, 70, 350, 210, 82, 62, 10, 0], [4, 0, 39, 190, 98, 294, 280, 26, 90, 2, 1], [4, 0, 39, 191, 91, 315, 245, 61, 69, 9, 0], [4, 0, 40, 183, 119, 259, 315, 5, 97, 1, 1], [4, 0, 40, 184, 112, 280, 280, 40, 76, 8, 0], [4, 0, 41, 177, 133, 245, 315, 19, 83, 7, 0], [4, 1, 29, 232, 0, 434, 154, 96, 68, 5, 1], [4, 1, 30, 225, 21, 399, 189, 75, 75, 4, 1], [4, 1, 30, 226, 14, 420, 154, 110, 54, 11, 0], [4, 1, 31, 218, 42, 364, 224, 54, 82, 3, 1], [4, 1, 31, 219, 35, 385, 189, 89, 61, 10, 0], [4, 1, 32, 211, 63, 329, 259, 33, 89, 2, 1], [4, 1, 32, 212, 56, 350, 224, 68, 68, 9, 0], [4, 1, 33, 204, 84, 294, 294, 12, 96, 1, 1], [4, 1, 33, 205, 77, 315, 259, 47, 75, 8, 0], [4, 1, 34, 198, 98, 280, 294, 26, 82, 7, 0], [4, 1, 35, 191, 119, 245, 329, 5, 89, 6, 0], [4, 2, 24, 239, 7, 399, 203, 61, 81, 3, 1], [4, 2, 24, 240, 0, 420, 168, 96, 60, 10, 0], [4, 2, 25, 232, 28, 364, 238, 40, 88, 2, 1], [4, 2, 25, 233, 21, 385, 203, 75, 67, 9, 0], [4, 2, 26, 225, 49, 329, 273, 19, 95, 1, 1], [4, 2, 26, 226, 42, 350, 238, 54, 74, 8, 0], [4, 2, 27, 219, 63, 315, 273, 33, 81, 7, 0], [4, 2, 28, 212, 84, 280, 308, 12, 88, 6, 0], [4, 3, 19, 246, 14, 364, 252, 26, 94, 1, 1], [4, 3, 19, 247, 7, 385, 217, 61, 73, 8, 0], [4, 3, 20, 239, 35, 329, 287, 5, 101, 0, 1], [4, 3, 20, 240, 28, 350, 252, 40, 80, 7, 0], [4, 3, 21, 233, 49, 315, 287, 19, 87, 6, 0], [4, 4, 13, 260, 0, 364, 266, 12, 100, 0, 1], [4, 4, 14, 254, 14, 350, 266, 26, 86, 6, 0], [4, 4, 15, 247, 35, 315, 301, 5, 93, 5, 0], [4, 5, 8, 268, 0, 350, 280, 12, 92, 5, 0]}
(11, 1024, 6) has 6235 possible DDs: {[0, 0, 55, 71, 40, 504, 14, 190, 144, 0, 3, 3], [0, 0, 56, 65, 54, 490, 14, 204, 130, 6, 2, 3], [0, 0, 57, 58, 75, 455, 49, 183, 137, 5, 2, 3], [0, 0, 57, 59, 68, 476, 14, 218, 116, 12, 1, 3], [0, 0, 58, 51, 96, 420, 84, 162, 144, 4, 2, 3], [0, 0, 58, 52, 89, 441, 49, 197, 123, 11, 1, 3], [0, 0, 58, 53, 82, 462, 14, 232, 102, 18, 0, 3], [0, 0, 58, 54, 76, 476, 0, 232, 116, 4, 6, 2], [0, 0, 59, 44, 117, 385, 119, 141, 151, 3, 2, 3], [0, 0, 59, 45, 110, 406, 84, 176, 130, 10, 1, 3], [0, 0, 59, 46, 103, 427, 49, 211, 109, 17, 0, 3], [0, 0, 59, 47, 97, 441, 35, 211, 123, 3, 6, 2], [0, 0, 59, 48, 90, 462, 0, 246, 102, 10, 5, 2], [0, 0, 60, 37, 138, 350, 154, 120, 158, 2, 2, 3], [0, 0, 60, 38, 131, 371, 119, 155, 137, 9, 1, 3], [0, 0, 60, 39, 124, 392, 84, 190, 116, 16, 0, 3], [0, 0, 60, 40, 118, 406, 70, 190, 130, 2, 6, 2], [0, 0, 60, 41, 111, 427, 35, 225, 109, 9, 5, 2], [0, 0, 60, 42, 104, 448, 0, 260, 88, 16, 4, 2], [0, 0, 61, 30, 159, 315, 189, 99, 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