-------
(12, 1536, 7) ALL distance distributions
(7, 1536, 7) has 1 possible DDs: {[12, 84, 252, 420, 420, 252, 84, 12]}
(8, 1536, 7) has 13 possible DDs: {[0, 96, 0, 672, 0, 672, 0, 96, 0], [1, 88, 28, 616, 70, 616, 28, 88, 1], [2, 80, 56, 560, 140, 560, 56, 80, 2], [3, 72, 84, 504, 210, 504, 84, 72, 3], [4, 64, 112, 448, 280, 448, 112, 64, 4], [5, 56, 140, 392, 350, 392, 140, 56, 5], [6, 48, 168, 336, 420, 336, 168, 48, 6], [7, 40, 196, 280, 490, 280, 196, 40, 7], [8, 32, 224, 224, 560, 224, 224, 32, 8], [9, 24, 252, 168, 630, 168, 252, 24, 9], [10, 16, 280, 112, 700, 112, 280, 16, 10], [11, 8, 308, 56, 770, 56, 308, 8, 11], [12, 0, 336, 0, 840, 0, 336, 0, 12]}
(9, 1536, 7) has 49 possible DDs: {[0, 48, 48, 336, 336, 336, 336, 48, 48, 0], [0, 49, 40, 364, 280, 406, 280, 76, 40, 1], [0, 50, 32, 392, 224, 476, 224, 104, 32, 2], [0, 51, 24, 420, 168, 546, 168, 132, 24, 3], [0, 52, 16, 448, 112, 616, 112, 160, 16, 4], [0, 53, 8, 476, 56, 686, 56, 188, 8, 5], [0, 54, 0, 504, 0, 756, 0, 216, 0, 6], [1, 40, 76, 280, 406, 280, 364, 40, 49, 0], [1, 41, 68, 308, 350, 350, 308, 68, 41, 1], [1, 42, 60, 336, 294, 420, 252, 96, 33, 2], [1, 43, 52, 364, 238, 490, 196, 124, 25, 3], [1, 44, 44, 392, 182, 560, 140, 152, 17, 4], [1, 45, 36, 420, 126, 630, 84, 180, 9, 5], [1, 46, 28, 448, 70, 700, 28, 208, 1, 6], [2, 32, 104, 224, 476, 224, 392, 32, 50, 0], [2, 33, 96, 252, 420, 294, 336, 60, 42, 1], [2, 34, 88, 280, 364, 364, 280, 88, 34, 2], [2, 35, 80, 308, 308, 434, 224, 116, 26, 3], [2, 36, 72, 336, 252, 504, 168, 144, 18, 4], [2, 37, 64, 364, 196, 574, 112, 172, 10, 5], [2, 38, 56, 392, 140, 644, 56, 200, 2, 6], [3, 24, 132, 168, 546, 168, 420, 24, 51, 0], [3, 25, 124, 196, 490, 238, 364, 52, 43, 1], [3, 26, 116, 224, 434, 308, 308, 80, 35, 2], [3, 27, 108, 252, 378, 378, 252, 108, 27, 3], [3, 28, 100, 280, 322, 448, 196, 136, 19, 4], [3, 29, 92, 308, 266, 518, 140, 164, 11, 5], [3, 30, 84, 336, 210, 588, 84, 192, 3, 6], [4, 16, 160, 112, 616, 112, 448, 16, 52, 0], [4, 17, 152, 140, 560, 182, 392, 44, 44, 1], [4, 18, 144, 168, 504, 252, 336, 72, 36, 2], [4, 19, 136, 196, 448, 322, 280, 100, 28, 3], [4, 20, 128, 224, 392, 392, 224, 128, 20, 4], [4, 21, 120, 252, 336, 462, 168, 156, 12, 5], [4, 22, 112, 280, 280, 532, 112, 184, 4, 6], [5, 8, 188, 56, 686, 56, 476, 8, 53, 0], [5, 9, 180, 84, 630, 126, 420, 36, 45, 1], [5, 10, 172, 112, 574, 196, 364, 64, 37, 2], [5, 11, 164, 140, 518, 266, 308, 92, 29, 3], [5, 12, 156, 168, 462, 336, 252, 120, 21, 4], [5, 13, 148, 196, 406, 406, 196, 148, 13, 5], [5, 14, 140, 224, 350, 476, 140, 176, 5, 6], [6, 0, 216, 0, 756, 0, 504, 0, 54, 0], [6, 1, 208, 28, 700, 70, 448, 28, 46, 1], [6, 2, 200, 56, 644, 140, 392, 56, 38, 2], [6, 3, 192, 84, 588, 210, 336, 84, 30, 3], [6, 4, 184, 112, 532, 280, 280, 112, 22, 4], [6, 5, 176, 140, 476, 350, 224, 140, 14, 5], [6, 6, 168, 168, 420, 420, 168, 168, 6, 6]}
(10, 1536, 7) has 185 possible DDs: {[0, 20, 80, 80, 560, 56, 560, 80, 80, 20, 0], [0, 20, 81, 72, 588, 0, 630, 24, 108, 12, 1], [0, 21, 72, 108, 504, 126, 504, 108, 72, 21, 0], [0, 21, 73, 100, 532, 70, 574, 52, 100, 13, 1], [0, 22, 64, 136, 448, 196, 448, 136, 64, 22, 0], [0, 22, 65, 128, 476, 140, 518, 80, 92, 14, 1], [0, 22, 66, 120, 504, 84, 588, 24, 120, 6, 2], [0, 23, 56, 164, 392, 266, 392, 164, 56, 23, 0], [0, 23, 57, 156, 420, 210, 462, 108, 84, 15, 1], [0, 23, 58, 148, 448, 154, 532, 52, 112, 7, 2], [0, 24, 48, 192, 336, 336, 336, 192, 48, 24, 0], [0, 24, 49, 184, 364, 280, 406, 136, 76, 16, 1], [0, 24, 50, 176, 392, 224, 476, 80, 104, 8, 2], [0, 24, 51, 168, 420, 168, 546, 24, 132, 0, 3], [0, 25, 40, 220, 280, 406, 280, 220, 40, 25, 0], [0, 25, 41, 212, 308, 350, 350, 164, 68, 17, 1], [0, 25, 42, 204, 336, 294, 420, 108, 96, 9, 2], [0, 25, 43, 196, 364, 238, 490, 52, 124, 1, 3], [0, 26, 32, 248, 224, 476, 224, 248, 32, 26, 0], [0, 26, 33, 240, 252, 420, 294, 192, 60, 18, 1], [0, 26, 34, 232, 280, 364, 364, 136, 88, 10, 2], [0, 26, 35, 224, 308, 308, 434, 80, 116, 2, 3], [0, 27, 24, 276, 168, 546, 168, 276, 24, 27, 0], [0, 27, 25, 268, 196, 490, 238, 220, 52, 19, 1], [0, 27, 26, 260, 224, 434, 308, 164, 80, 11, 2], [0, 27, 27, 252, 252, 378, 378, 108, 108, 3, 3], [0, 28, 16, 304, 112, 616, 112, 304, 16, 28, 0], [0, 28, 17, 296, 140, 560, 182, 248, 44, 20, 1], [0, 28, 18, 288, 168, 504, 252, 192, 72, 12, 2], [0, 28, 19, 280, 196, 448, 322, 136, 100, 4, 3], [0, 29, 8, 332, 56, 686, 56, 332, 8, 29, 0], [0, 29, 9, 324, 84, 630, 126, 276, 36, 21, 1], [0, 29, 10, 316, 112, 574, 196, 220, 64, 13, 2], [0, 29, 11, 308, 140, 518, 266, 164, 92, 5, 3], [0, 30, 0, 360, 0, 756, 0, 360, 0, 30, 0], [0, 30, 1, 352, 28, 700, 70, 304, 28, 22, 1], [0, 30, 2, 344, 56, 644, 140, 248, 56, 14, 2], [0, 30, 3, 336, 84, 588, 210, 192, 84, 6, 3], [1, 12, 108, 24, 630, 0, 588, 72, 81, 20, 0], [1, 13, 100, 52, 574, 70, 532, 100, 73, 21, 0], [1, 13, 101, 44, 602, 14, 602, 44, 101, 13, 1], [1, 14, 92, 80, 518, 140, 476, 128, 65, 22, 0], [1, 14, 93, 72, 546, 84, 546, 72, 93, 14, 1], [1, 14, 94, 64, 574, 28, 616, 16, 121, 6, 2], [1, 15, 84, 108, 462, 210, 420, 156, 57, 23, 0], [1, 15, 85, 100, 490, 154, 490, 100, 85, 15, 1], [1, 15, 86, 92, 518, 98, 560, 44, 113, 7, 2], [1, 16, 76, 136, 406, 280, 364, 184, 49, 24, 0], [1, 16, 77, 128, 434, 224, 434, 128, 77, 16, 1], [1, 16, 78, 120, 462, 168, 504, 72, 105, 8, 2], [1, 16, 79, 112, 490, 112, 574, 16, 133, 0, 3], [1, 17, 68, 164, 350, 350, 308, 212, 41, 25, 0], [1, 17, 69, 156, 378, 294, 378, 156, 69, 17, 1], [1, 17, 70, 148, 406, 238, 448, 100, 97, 9, 2], [1, 17, 71, 140, 434, 182, 518, 44, 125, 1, 3], [1, 18, 60, 192, 294, 420, 252, 240, 33, 26, 0], [1, 18, 61, 184, 322, 364, 322, 184, 61, 18, 1], [1, 18, 62, 176, 350, 308, 392, 128, 89, 10, 2], [1, 18, 63, 168, 378, 252, 462, 72, 117, 2, 3], [1, 19, 52, 220, 238, 490, 196, 268, 25, 27, 0], [1, 19, 53, 212, 266, 434, 266, 212, 53, 19, 1], [1, 19, 54, 204, 294, 378, 336, 156, 81, 11, 2], [1, 19, 55, 196, 322, 322, 406, 100, 109, 3, 3], [1, 20, 44, 248, 182, 560, 140, 296, 17, 28, 0], [1, 20, 45, 240, 210, 504, 210, 240, 45, 20, 1], [1, 20, 46, 232, 238, 448, 280, 184, 73, 12, 2], [1, 20, 47, 224, 266, 392, 350, 128, 101, 4, 3], [1, 21, 36, 276, 126, 630, 84, 324, 9, 29, 0], [1, 21, 37, 268, 154, 574, 154, 268, 37, 21, 1], [1, 21, 38, 260, 182, 518, 224, 212, 65, 13, 2], [1, 21, 39, 252, 210, 462, 294, 156, 93, 5, 3], [1, 22, 28, 304, 70, 700, 28, 352, 1, 30, 0], [1, 22, 29, 296, 98, 644, 98, 296, 29, 22, 1], [1, 22, 30, 288, 126, 588, 168, 240, 57, 14, 2], [1, 22, 31, 280, 154, 532, 238, 184, 85, 6, 3], [1, 23, 21, 324, 42, 714, 42, 324, 21, 23, 1], [1, 23, 22, 316, 70, 658, 112, 268, 49, 15, 2], [1, 23, 23, 308, 98, 602, 182, 212, 77, 7, 3], [1, 24, 14, 344, 14, 728, 56, 296, 41, 16, 2], [1, 24, 15, 336, 42, 672, 126, 240, 69, 8, 3], [1, 24, 16, 328, 70, 616, 196, 184, 97, 0, 4], [1, 25, 8, 356, 14, 686, 140, 212, 89, 1, 4], [2, 6, 120, 24, 588, 84, 504, 120, 66, 22, 0], [2, 6, 121, 16, 616, 28, 574, 64, 94, 14, 1], [2, 7, 112, 52, 532, 154, 448, 148, 58, 23, 0], [2, 7, 113, 44, 560, 98, 518, 92, 86, 15, 1], [2, 7, 114, 36, 588, 42, 588, 36, 114, 7, 2], [2, 8, 104, 80, 476, 224, 392, 176, 50, 24, 0], [2, 8, 105, 72, 504, 168, 462, 120, 78, 16, 1], [2, 8, 106, 64, 532, 112, 532, 64, 106, 8, 2], [2, 8, 107, 56, 560, 56, 602, 8, 134, 0, 3], [2, 9, 96, 108, 420, 294, 336, 204, 42, 25, 0], [2, 9, 97, 100, 448, 238, 406, 148, 70, 17, 1], [2, 9, 98, 92, 476, 182, 476, 92, 98, 9, 2], [2, 9, 99, 84, 504, 126, 546, 36, 126, 1, 3], [2, 10, 88, 136, 364, 364, 280, 232, 34, 26, 0], [2, 10, 89, 128, 392, 308, 350, 176, 62, 18, 1], [2, 10, 90, 120, 420, 252, 420, 120, 90, 10, 2], [2, 10, 91, 112, 448, 196, 490, 64, 118, 2, 3], [2, 11, 80, 164, 308, 434, 224, 260, 26, 27, 0], [2, 11, 81, 156, 336, 378, 294, 204, 54, 19, 1], [2, 11, 82, 148, 364, 322, 364, 148, 82, 11, 2], [2, 11, 83, 140, 392, 266, 434, 92, 110, 3, 3], [2, 12, 72, 192, 252, 504, 168, 288, 18, 28, 0], [2, 12, 73, 184, 280, 448, 238, 232, 46, 20, 1], [2, 12, 74, 176, 308, 392, 308, 176, 74, 12, 2], [2, 12, 75, 168, 336, 336, 378, 120, 102, 4, 3], [2, 13, 64, 220, 196, 574, 112, 316, 10, 29, 0], [2, 13, 65, 212, 224, 518, 182, 260, 38, 21, 1], [2, 13, 66, 204, 252, 462, 252, 204, 66, 13, 2], [2, 13, 67, 196, 280, 406, 322, 148, 94, 5, 3], [2, 14, 56, 248, 140, 644, 56, 344, 2, 30, 0], [2, 14, 57, 240, 168, 588, 126, 288, 30, 22, 1], [2, 14, 58, 232, 196, 532, 196, 232, 58, 14, 2], [2, 14, 59, 224, 224, 476, 266, 176, 86, 6, 3], [2, 15, 49, 268, 112, 658, 70, 316, 22, 23, 1], [2, 15, 50, 260, 140, 602, 140, 260, 50, 15, 2], [2, 15, 51, 252, 168, 546, 210, 204, 78, 7, 3], [2, 16, 41, 296, 56, 728, 14, 344, 14, 24, 1], [2, 16, 42, 288, 84, 672, 84, 288, 42, 16, 2], [2, 16, 43, 280, 112, 616, 154, 232, 70, 8, 3], [2, 16, 44, 272, 140, 560, 224, 176, 98, 0, 4], [2, 17, 34, 316, 28, 742, 28, 316, 34, 17, 2], [2, 17, 35, 308, 56, 686, 98, 260, 62, 9, 3], [2, 17, 36, 300, 84, 630, 168, 204, 90, 1, 4], [2, 18, 27, 336, 0, 756, 42, 288, 54, 10, 3], [2, 18, 28, 328, 28, 700, 112, 232, 82, 2, 4], [3, 0, 132, 24, 546, 168, 420, 168, 51, 24, 0], [3, 0, 133, 16, 574, 112, 490, 112, 79, 16, 1], [3, 0, 134, 8, 602, 56, 560, 56, 107, 8, 2], [3, 0, 135, 0, 630, 0, 630, 0, 135, 0, 3], [3, 1, 124, 52, 490, 238, 364, 196, 43, 25, 0], [3, 1, 125, 44, 518, 182, 434, 140, 71, 17, 1], [3, 1, 126, 36, 546, 126, 504, 84, 99, 9, 2], [3, 1, 127, 28, 574, 70, 574, 28, 127, 1, 3], [3, 2, 116, 80, 434, 308, 308, 224, 35, 26, 0], [3, 2, 117, 72, 462, 252, 378, 168, 63, 18, 1], [3, 2, 118, 64, 490, 196, 448, 112, 91, 10, 2], [3, 2, 119, 56, 518, 140, 518, 56, 119, 2, 3], [3, 3, 108, 108, 378, 378, 252, 252, 27, 27, 0], [3, 3, 109, 100, 406, 322, 322, 196, 55, 19, 1], [3, 3, 110, 92, 434, 266, 392, 140, 83, 11, 2], [3, 3, 111, 84, 462, 210, 462, 84, 111, 3, 3], [3, 4, 100, 136, 322, 448, 196, 280, 19, 28, 0], [3, 4, 101, 128, 350, 392, 266, 224, 47, 20, 1], [3, 4, 102, 120, 378, 336, 336, 168, 75, 12, 2], [3, 4, 103, 112, 406, 280, 406, 112, 103, 4, 3], [3, 5, 92, 164, 266, 518, 140, 308, 11, 29, 0], [3, 5, 93, 156, 294, 462, 210, 252, 39, 21, 1], [3, 5, 94, 148, 322, 406, 280, 196, 67, 13, 2], [3, 5, 95, 140, 350, 350, 350, 140, 95, 5, 3], [3, 6, 84, 192, 210, 588, 84, 336, 3, 30, 0], [3, 6, 85, 184, 238, 532, 154, 280, 31, 22, 1], [3, 6, 86, 176, 266, 476, 224, 224, 59, 14, 2], [3, 6, 87, 168, 294, 420, 294, 168, 87, 6, 3], [3, 7, 77, 212, 182, 602, 98, 308, 23, 23, 1], [3, 7, 78, 204, 210, 546, 168, 252, 51, 15, 2], [3, 7, 79, 196, 238, 490, 238, 196, 79, 7, 3], [3, 8, 69, 240, 126, 672, 42, 336, 15, 24, 1], [3, 8, 70, 232, 154, 616, 112, 280, 43, 16, 2], [3, 8, 71, 224, 182, 560, 182, 224, 71, 8, 3], [3, 8, 72, 216, 210, 504, 252, 168, 99, 0, 4], [3, 9, 62, 260, 98, 686, 56, 308, 35, 17, 2], [3, 9, 63, 252, 126, 630, 126, 252, 63, 9, 3], [3, 9, 64, 244, 154, 574, 196, 196, 91, 1, 4], [3, 10, 54, 288, 42, 756, 0, 336, 27, 18, 2], [3, 10, 55, 280, 70, 700, 70, 280, 55, 10, 3], [3, 10, 56, 272, 98, 644, 140, 224, 83, 2, 4], [3, 11, 47, 308, 14, 770, 14, 308, 47, 11, 3], [3, 11, 48, 300, 42, 714, 84, 252, 75, 3, 4], [4, 0, 97, 184, 196, 616, 70, 328, 16, 24, 1], [4, 0, 98, 176, 224, 560, 140, 272, 44, 16, 2], [4, 0, 99, 168, 252, 504, 210, 216, 72, 8, 3], [4, 0, 100, 160, 280, 448, 280, 160, 100, 0, 4], [4, 1, 89, 212, 140, 686, 14, 356, 8, 25, 1], [4, 1, 90, 204, 168, 630, 84, 300, 36, 17, 2], [4, 1, 91, 196, 196, 574, 154, 244, 64, 9, 3], [4, 1, 92, 188, 224, 518, 224, 188, 92, 1, 4], [4, 2, 82, 232, 112, 700, 28, 328, 28, 18, 2], [4, 2, 83, 224, 140, 644, 98, 272, 56, 10, 3], [4, 2, 84, 216, 168, 588, 168, 216, 84, 2, 4], [4, 3, 75, 252, 84, 714, 42, 300, 48, 11, 3], [4, 3, 76, 244, 112, 658, 112, 244, 76, 3, 4], [4, 4, 68, 272, 56, 728, 56, 272, 68, 4, 4], [4, 5, 60, 300, 0, 798, 0, 300, 60, 5, 4]}
(11, 1536, 7) has 576 possible DDs: {[0, 6, 78, 0, 432, 252, 252, 432, 0, 78, 6, 0], [0, 7, 71, 20, 404, 266, 266, 404, 20, 71, 7, 0], [0, 7, 72, 12, 432, 210, 336, 348, 48, 63, 8, 0], [0, 7, 73, 4, 460, 154, 406, 292, 76, 55, 9, 0], [0, 7, 73, 5, 452, 182, 350, 362, 20, 83, 1, 1], [0, 8, 63, 48, 348, 336, 210, 432, 12, 72, 7, 0], [0, 8, 64, 40, 376, 280, 280, 376, 40, 64, 8, 0], [0, 8, 65, 32, 404, 224, 350, 320, 68, 56, 9, 0], [0, 8, 65, 33, 396, 252, 294, 390, 12, 84, 1, 1], [0, 8, 66, 24, 432, 168, 420, 264, 96, 48, 10, 0], [0, 8, 66, 25, 424, 196, 364, 334, 40, 76, 2, 1], [0, 8, 67, 16, 460, 112, 490, 208, 124, 40, 11, 0], [0, 8, 67, 17, 452, 140, 434, 278, 68, 68, 3, 1], [0, 8, 68, 8, 488, 56, 560, 152, 152, 32, 12, 0], [0, 8, 68, 9, 480, 84, 504, 222, 96, 60, 4, 1], [0, 8, 69, 0, 516, 0, 630, 96, 180, 24, 13, 0], [0, 8, 69, 1, 508, 28, 574, 166, 124, 52, 5, 1], [0, 9, 55, 76, 292, 406, 154, 460, 4, 73, 7, 0], [0, 9, 56, 68, 320, 350, 224, 404, 32, 65, 8, 0], [0, 9, 57, 60, 348, 294, 294, 348, 60, 57, 9, 0], [0, 9, 57, 61, 340, 322, 238, 418, 4, 85, 1, 1], [0, 9, 58, 52, 376, 238, 364, 292, 88, 49, 10, 0], [0, 9, 58, 53, 368, 266, 308, 362, 32, 77, 2, 1], [0, 9, 59, 44, 404, 182, 434, 236, 116, 41, 11, 0], [0, 9, 59, 45, 396, 210, 378, 306, 60, 69, 3, 1], [0, 9, 60, 36, 432, 126, 504, 180, 144, 33, 12, 0], [0, 9, 60, 37, 424, 154, 448, 250, 88, 61, 4, 1], [0, 9, 61, 28, 460, 70, 574, 124, 172, 25, 13, 0], [0, 9, 61, 29, 452, 98, 518, 194, 116, 53, 5, 1], [0, 9, 62, 20, 488, 14, 644, 68, 200, 17, 14, 0], [0, 9, 62, 21, 480, 42, 588, 138, 144, 45, 6, 1], [0, 10, 48, 96, 264, 420, 168, 432, 24, 66, 8, 0], [0, 10, 49, 88, 292, 364, 238, 376, 52, 58, 9, 0], [0, 10, 50, 80, 320, 308, 308, 320, 80, 50, 10, 0], [0, 10, 50, 81, 312, 336, 252, 390, 24, 78, 2, 1], [0, 10, 51, 72, 348, 252, 378, 264, 108, 42, 11, 0], [0, 10, 51, 73, 340, 280, 322, 334, 52, 70, 3, 1], [0, 10, 52, 64, 376, 196, 448, 208, 136, 34, 12, 0], [0, 10, 52, 65, 368, 224, 392, 278, 80, 62, 4, 1], [0, 10, 53, 56, 404, 140, 518, 152, 164, 26, 13, 0], [0, 10, 53, 57, 396, 168, 462, 222, 108, 54, 5, 1], [0, 10, 54, 48, 432, 84, 588, 96, 192, 18, 14, 0], [0, 10, 54, 49, 424, 112, 532, 166, 136, 46, 6, 1], [0, 10, 55, 40, 460, 28, 658, 40, 220, 10, 15, 0], [0, 10, 55, 41, 452, 56, 602, 110, 164, 38, 7, 1], [0, 10, 56, 33, 480, 0, 672, 54, 192, 30, 8, 1], [0, 10, 56, 34, 472, 28, 616, 124, 136, 58, 0, 2], [0, 11, 40, 124, 208, 490, 112, 460, 16, 67, 8, 0], [0, 11, 41, 116, 236, 434, 182, 404, 44, 59, 9, 0], [0, 11, 42, 108, 264, 378, 252, 348, 72, 51, 10, 0], [0, 11, 42, 109, 256, 406, 196, 418, 16, 79, 2, 1], [0, 11, 43, 100, 292, 322, 322, 292, 100, 43, 11, 0], [0, 11, 43, 101, 284, 350, 266, 362, 44, 71, 3, 1], [0, 11, 44, 92, 320, 266, 392, 236, 128, 35, 12, 0], [0, 11, 44, 93, 312, 294, 336, 306, 72, 63, 4, 1], [0, 11, 45, 84, 348, 210, 462, 180, 156, 27, 13, 0], [0, 11, 45, 85, 340, 238, 406, 250, 100, 55, 5, 1], [0, 11, 46, 76, 376, 154, 532, 124, 184, 19, 14, 0], [0, 11, 46, 77, 368, 182, 476, 194, 128, 47, 6, 1], [0, 11, 47, 68, 404, 98, 602, 68, 212, 11, 15, 0], [0, 11, 47, 69, 396, 126, 546, 138, 156, 39, 7, 1], [0, 11, 48, 60, 432, 42, 672, 12, 240, 3, 16, 0], [0, 11, 48, 61, 424, 70, 616, 82, 184, 31, 8, 1], [0, 11, 48, 62, 416, 98, 560, 152, 128, 59, 0, 2], [0, 11, 49, 53, 452, 14, 686, 26, 212, 23, 9, 1], [0, 11, 49, 54, 444, 42, 630, 96, 156, 51, 1, 2], [0, 12, 32, 152, 152, 560, 56, 488, 8, 68, 8, 0], [0, 12, 33, 144, 180, 504, 126, 432, 36, 60, 9, 0], [0, 12, 34, 136, 208, 448, 196, 376, 64, 52, 10, 0], [0, 12, 34, 137, 200, 476, 140, 446, 8, 80, 2, 1], [0, 12, 35, 128, 236, 392, 266, 320, 92, 44, 11, 0], [0, 12, 35, 129, 228, 420, 210, 390, 36, 72, 3, 1], [0, 12, 36, 120, 264, 336, 336, 264, 120, 36, 12, 0], [0, 12, 36, 121, 256, 364, 280, 334, 64, 64, 4, 1], [0, 12, 37, 112, 292, 280, 406, 208, 148, 28, 13, 0], [0, 12, 37, 113, 284, 308, 350, 278, 92, 56, 5, 1], [0, 12, 38, 104, 320, 224, 476, 152, 176, 20, 14, 0], [0, 12, 38, 105, 312, 252, 420, 222, 120, 48, 6, 1], [0, 12, 39, 96, 348, 168, 546, 96, 204, 12, 15, 0], [0, 12, 39, 97, 340, 196, 490, 166, 148, 40, 7, 1], [0, 12, 40, 88, 376, 112, 616, 40, 232, 4, 16, 0], [0, 12, 40, 89, 368, 140, 560, 110, 176, 32, 8, 1], [0, 12, 40, 90, 360, 168, 504, 180, 120, 60, 0, 2], [0, 12, 41, 81, 396, 84, 630, 54, 204, 24, 9, 1], [0, 12, 41, 82, 388, 112, 574, 124, 148, 52, 1, 2], [0, 12, 42, 74, 416, 56, 644, 68, 176, 44, 2, 2], [0, 12, 43, 66, 444, 0, 714, 12, 204, 36, 3, 2], [0, 13, 24, 180, 96, 630, 0, 516, 0, 69, 8, 0], [0, 13, 25, 172, 124, 574, 70, 460, 28, 61, 9, 0], [0, 13, 26, 164, 152, 518, 140, 404, 56, 53, 10, 0], [0, 13, 26, 165, 144, 546, 84, 474, 0, 81, 2, 1], [0, 13, 27, 156, 180, 462, 210, 348, 84, 45, 11, 0], [0, 13, 27, 157, 172, 490, 154, 418, 28, 73, 3, 1], [0, 13, 28, 148, 208, 406, 280, 292, 112, 37, 12, 0], [0, 13, 28, 149, 200, 434, 224, 362, 56, 65, 4, 1], [0, 13, 29, 140, 236, 350, 350, 236, 140, 29, 13, 0], [0, 13, 29, 141, 228, 378, 294, 306, 84, 57, 5, 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2], [1, 11, 13, 220, 82, 490, 322, 172, 205, 3, 17, 0], [1, 11, 13, 221, 74, 518, 266, 242, 149, 31, 9, 1], [1, 11, 13, 222, 66, 546, 210, 312, 93, 59, 1, 2], [1, 11, 14, 213, 102, 462, 336, 186, 177, 23, 10, 1], [1, 11, 14, 214, 94, 490, 280, 256, 121, 51, 2, 2], [1, 11, 15, 205, 130, 406, 406, 130, 205, 15, 11, 1], [1, 11, 15, 206, 122, 434, 350, 200, 149, 43, 3, 2], [1, 11, 16, 197, 158, 350, 476, 74, 233, 7, 12, 1], [1, 11, 16, 198, 150, 378, 420, 144, 177, 35, 4, 2], [1, 11, 17, 190, 178, 322, 490, 88, 205, 27, 5, 2], [1, 11, 18, 182, 206, 266, 560, 32, 233, 19, 6, 2], [1, 12, 5, 248, 26, 560, 266, 200, 197, 4, 17, 0], [1, 12, 5, 249, 18, 588, 210, 270, 141, 32, 9, 1], [1, 12, 5, 250, 10, 616, 154, 340, 85, 60, 1, 2], [1, 12, 6, 241, 46, 532, 280, 214, 169, 24, 10, 1], [1, 12, 6, 242, 38, 560, 224, 284, 113, 52, 2, 2], [1, 12, 7, 233, 74, 476, 350, 158, 197, 16, 11, 1], [1, 12, 7, 234, 66, 504, 294, 228, 141, 44, 3, 2], [1, 12, 8, 225, 102, 420, 420, 102, 225, 8, 12, 1], [1, 12, 8, 226, 94, 448, 364, 172, 169, 36, 4, 2], [1, 12, 9, 217, 130, 364, 490, 46, 253, 0, 13, 1], [1, 12, 9, 218, 122, 392, 434, 116, 197, 28, 5, 2], [1, 12, 10, 210, 150, 336, 504, 60, 225, 20, 6, 2], [1, 12, 11, 202, 178, 280, 574, 4, 253, 12, 7, 2], [1, 12, 12, 195, 198, 252, 588, 18, 225, 32, 0, 3], [1, 13, 0, 253, 46, 490, 364, 130, 217, 9, 12, 1], [1, 13, 0, 254, 38, 518, 308, 200, 161, 37, 4, 2], [1, 13, 1, 245, 74, 434, 434, 74, 245, 1, 13, 1], [1, 13, 1, 246, 66, 462, 378, 144, 189, 29, 5, 2], [1, 13, 2, 238, 94, 406, 448, 88, 217, 21, 6, 2], [1, 13, 3, 230, 122, 350, 518, 32, 245, 13, 7, 2], [1, 13, 4, 223, 142, 322, 532, 46, 217, 33, 0, 3], [2, 0, 58, 136, 124, 616, 28, 472, 34, 56, 10, 0], [2, 0, 59, 128, 152, 560, 98, 416, 62, 48, 11, 0], [2, 0, 59, 129, 144, 588, 42, 486, 6, 76, 3, 1], [2, 0, 60, 120, 180, 504, 168, 360, 90, 40, 12, 0], [2, 0, 60, 121, 172, 532, 112, 430, 34, 68, 4, 1], [2, 0, 61, 112, 208, 448, 238, 304, 118, 32, 13, 0], [2, 0, 61, 113, 200, 476, 182, 374, 62, 60, 5, 1], [2, 0, 62, 104, 236, 392, 308, 248, 146, 24, 14, 0], [2, 0, 62, 105, 228, 420, 252, 318, 90, 52, 6, 1], [2, 0, 63, 96, 264, 336, 378, 192, 174, 16, 15, 0], [2, 0, 63, 97, 256, 364, 322, 262, 118, 44, 7, 1], [2, 0, 64, 88, 292, 280, 448, 136, 202, 8, 16, 0], [2, 0, 64, 89, 284, 308, 392, 206, 146, 36, 8, 1], [2, 0, 64, 90, 276, 336, 336, 276, 90, 64, 0, 2], [2, 0, 65, 80, 320, 224, 518, 80, 230, 0, 17, 0], [2, 0, 65, 81, 312, 252, 462, 150, 174, 28, 9, 1], [2, 0, 65, 82, 304, 280, 406, 220, 118, 56, 1, 2], [2, 0, 66, 73, 340, 196, 532, 94, 202, 20, 10, 1], [2, 0, 66, 74, 332, 224, 476, 164, 146, 48, 2, 2], [2, 0, 67, 65, 368, 140, 602, 38, 230, 12, 11, 1], [2, 0, 67, 66, 360, 168, 546, 108, 174, 40, 3, 2], [2, 0, 68, 58, 388, 112, 616, 52, 202, 32, 4, 2], [2, 1, 51, 156, 96, 630, 42, 444, 54, 49, 11, 0], [2, 1, 52, 148, 124, 574, 112, 388, 82, 41, 12, 0], [2, 1, 52, 149, 116, 602, 56, 458, 26, 69, 4, 1], [2, 1, 53, 140, 152, 518, 182, 332, 110, 33, 13, 0], [2, 1, 53, 141, 144, 546, 126, 402, 54, 61, 5, 1], [2, 1, 54, 132, 180, 462, 252, 276, 138, 25, 14, 0], [2, 1, 54, 133, 172, 490, 196, 346, 82, 53, 6, 1], [2, 1, 55, 124, 208, 406, 322, 220, 166, 17, 15, 0], [2, 1, 55, 125, 200, 434, 266, 290, 110, 45, 7, 1], [2, 1, 56, 116, 236, 350, 392, 164, 194, 9, 16, 0], [2, 1, 56, 117, 228, 378, 336, 234, 138, 37, 8, 1], [2, 1, 56, 118, 220, 406, 280, 304, 82, 65, 0, 2], [2, 1, 57, 108, 264, 294, 462, 108, 222, 1, 17, 0], [2, 1, 57, 109, 256, 322, 406, 178, 166, 29, 9, 1], [2, 1, 57, 110, 248, 350, 350, 248, 110, 57, 1, 2], [2, 1, 58, 101, 284, 266, 476, 122, 194, 21, 10, 1], [2, 1, 58, 102, 276, 294, 420, 192, 138, 49, 2, 2], [2, 1, 59, 93, 312, 210, 546, 66, 222, 13, 11, 1], [2, 1, 59, 94, 304, 238, 490, 136, 166, 41, 3, 2], [2, 1, 60, 85, 340, 154, 616, 10, 250, 5, 12, 1], [2, 1, 60, 86, 332, 182, 560, 80, 194, 33, 4, 2], [2, 1, 61, 78, 360, 126, 630, 24, 222, 25, 5, 2], [2, 2, 44, 176, 68, 644, 56, 416, 74, 42, 12, 0], [2, 2, 44, 177, 60, 672, 0, 486, 18, 70, 4, 1], [2, 2, 45, 168, 96, 588, 126, 360, 102, 34, 13, 0], [2, 2, 45, 169, 88, 616, 70, 430, 46, 62, 5, 1], [2, 2, 46, 160, 124, 532, 196, 304, 130, 26, 14, 0], [2, 2, 46, 161, 116, 560, 140, 374, 74, 54, 6, 1], [2, 2, 47, 152, 152, 476, 266, 248, 158, 18, 15, 0], [2, 2, 47, 153, 144, 504, 210, 318, 102, 46, 7, 1], [2, 2, 48, 144, 180, 420, 336, 192, 186, 10, 16, 0], [2, 2, 48, 145, 172, 448, 280, 262, 130, 38, 8, 1], [2, 2, 48, 146, 164, 476, 224, 332, 74, 66, 0, 2], [2, 2, 49, 136, 208, 364, 406, 136, 214, 2, 17, 0], [2, 2, 49, 137, 200, 392, 350, 206, 158, 30, 9, 1], [2, 2, 49, 138, 192, 420, 294, 276, 102, 58, 1, 2], [2, 2, 50, 129, 228, 336, 420, 150, 186, 22, 10, 1], [2, 2, 50, 130, 220, 364, 364, 220, 130, 50, 2, 2], [2, 2, 51, 121, 256, 280, 490, 94, 214, 14, 11, 1], [2, 2, 51, 122, 248, 308, 434, 164, 158, 42, 3, 2], [2, 2, 52, 113, 284, 224, 560, 38, 242, 6, 12, 1], [2, 2, 52, 114, 276, 252, 504, 108, 186, 34, 4, 2], [2, 2, 53, 106, 304, 196, 574, 52, 214, 26, 5, 2], [2, 3, 36, 204, 12, 714, 0, 444, 66, 43, 12, 0], [2, 3, 37, 196, 40, 658, 70, 388, 94, 35, 13, 0], [2, 3, 37, 197, 32, 686, 14, 458, 38, 63, 5, 1], [2, 3, 38, 188, 68, 602, 140, 332, 122, 27, 14, 0], [2, 3, 38, 189, 60, 630, 84, 402, 66, 55, 6, 1], [2, 3, 39, 180, 96, 546, 210, 276, 150, 19, 15, 0], [2, 3, 39, 181, 88, 574, 154, 346, 94, 47, 7, 1], [2, 3, 40, 172, 124, 490, 280, 220, 178, 11, 16, 0], [2, 3, 40, 173, 116, 518, 224, 290, 122, 39, 8, 1], [2, 3, 40, 174, 108, 546, 168, 360, 66, 67, 0, 2], [2, 3, 41, 164, 152, 434, 350, 164, 206, 3, 17, 0], [2, 3, 41, 165, 144, 462, 294, 234, 150, 31, 9, 1], [2, 3, 41, 166, 136, 490, 238, 304, 94, 59, 1, 2], [2, 3, 42, 157, 172, 406, 364, 178, 178, 23, 10, 1], [2, 3, 42, 158, 164, 434, 308, 248, 122, 51, 2, 2], [2, 3, 43, 149, 200, 350, 434, 122, 206, 15, 11, 1], [2, 3, 43, 150, 192, 378, 378, 192, 150, 43, 3, 2], [2, 3, 44, 141, 228, 294, 504, 66, 234, 7, 12, 1], [2, 3, 44, 142, 220, 322, 448, 136, 178, 35, 4, 2], [2, 3, 45, 134, 248, 266, 518, 80, 206, 27, 5, 2], [2, 3, 46, 126, 276, 210, 588, 24, 234, 19, 6, 2], [2, 4, 30, 216, 12, 672, 84, 360, 114, 28, 14, 0], [2, 4, 30, 217, 4, 700, 28, 430, 58, 56, 6, 1], [2, 4, 31, 208, 40, 616, 154, 304, 142, 20, 15, 0], [2, 4, 31, 209, 32, 644, 98, 374, 86, 48, 7, 1], [2, 4, 32, 200, 68, 560, 224, 248, 170, 12, 16, 0], [2, 4, 32, 201, 60, 588, 168, 318, 114, 40, 8, 1], [2, 4, 32, 202, 52, 616, 112, 388, 58, 68, 0, 2], [2, 4, 33, 192, 96, 504, 294, 192, 198, 4, 17, 0], [2, 4, 33, 193, 88, 532, 238, 262, 142, 32, 9, 1], [2, 4, 33, 194, 80, 560, 182, 332, 86, 60, 1, 2], [2, 4, 34, 185, 116, 476, 308, 206, 170, 24, 10, 1], [2, 4, 34, 186, 108, 504, 252, 276, 114, 52, 2, 2], [2, 4, 35, 177, 144, 420, 378, 150, 198, 16, 11, 1], [2, 4, 35, 178, 136, 448, 322, 220, 142, 44, 3, 2], [2, 4, 36, 169, 172, 364, 448, 94, 226, 8, 12, 1], [2, 4, 36, 170, 164, 392, 392, 164, 170, 36, 4, 2], [2, 4, 37, 161, 200, 308, 518, 38, 254, 0, 13, 1], [2, 4, 37, 162, 192, 336, 462, 108, 198, 28, 5, 2], [2, 4, 38, 154, 220, 280, 532, 52, 226, 20, 6, 2], [2, 4, 40, 139, 268, 196, 616, 10, 226, 32, 0, 3], [2, 5, 24, 228, 12, 630, 168, 276, 162, 13, 16, 0], [2, 5, 24, 229, 4, 658, 112, 346, 106, 41, 8, 1], [2, 5, 25, 220, 40, 574, 238, 220, 190, 5, 17, 0], [2, 5, 25, 221, 32, 602, 182, 290, 134, 33, 9, 1], [2, 5, 25, 222, 24, 630, 126, 360, 78, 61, 1, 2], [2, 5, 26, 213, 60, 546, 252, 234, 162, 25, 10, 1], [2, 5, 26, 214, 52, 574, 196, 304, 106, 53, 2, 2], [2, 5, 27, 205, 88, 490, 322, 178, 190, 17, 11, 1], [2, 5, 27, 206, 80, 518, 266, 248, 134, 45, 3, 2], [2, 5, 28, 197, 116, 434, 392, 122, 218, 9, 12, 1], [2, 5, 28, 198, 108, 462, 336, 192, 162, 37, 4, 2], [2, 5, 29, 189, 144, 378, 462, 66, 246, 1, 13, 1], [2, 5, 29, 190, 136, 406, 406, 136, 190, 29, 5, 2], [2, 5, 30, 182, 164, 350, 476, 80, 218, 21, 6, 2], [2, 5, 31, 174, 192, 294, 546, 24, 246, 13, 7, 2], [2, 5, 32, 167, 212, 266, 560, 38, 218, 33, 0, 3], [2, 6, 18, 241, 4, 616, 196, 262, 154, 26, 10, 1], [2, 6, 19, 233, 32, 560, 266, 206, 182, 18, 11, 1], [2, 6, 19, 234, 24, 588, 210, 276, 126, 46, 3, 2], [2, 6, 20, 225, 60, 504, 336, 150, 210, 10, 12, 1], [2, 6, 20, 226, 52, 532, 280, 220, 154, 38, 4, 2], [2, 6, 21, 217, 88, 448, 406, 94, 238, 2, 13, 1], [2, 6, 21, 218, 80, 476, 350, 164, 182, 30, 5, 2], [2, 6, 22, 210, 108, 420, 420, 108, 210, 22, 6, 2], [2, 6, 23, 202, 136, 364, 490, 52, 238, 14, 7, 2], [2, 6, 24, 195, 156, 336, 504, 66, 210, 34, 0, 3], [2, 6, 25, 187, 184, 280, 574, 10, 238, 26, 1, 3], [2, 7, 12, 253, 4, 574, 280, 178, 202, 11, 12, 1], [2, 7, 13, 245, 32, 518, 350, 122, 230, 3, 13, 1], [2, 7, 13, 246, 24, 546, 294, 192, 174, 31, 5, 2], [2, 7, 14, 238, 52, 490, 364, 136, 202, 23, 6, 2], [2, 7, 15, 230, 80, 434, 434, 80, 230, 15, 7, 2], [2, 7, 16, 222, 108, 378, 504, 24, 258, 7, 8, 2], [2, 7, 16, 223, 100, 406, 448, 94, 202, 35, 0, 3], [2, 7, 17, 215, 128, 350, 518, 38, 230, 27, 1, 3], [2, 8, 7, 258, 24, 504, 378, 108, 222, 16, 7, 2], [2, 8, 8, 250, 52, 448, 448, 52, 250, 8, 8, 2], [2, 8, 8, 251, 44, 476, 392, 122, 194, 36, 0, 3], [2, 8, 9, 243, 72, 420, 462, 66, 222, 28, 1, 3], [2, 8, 10, 235, 100, 364, 532, 10, 250, 20, 2, 3], [2, 9, 1, 270, 24, 462, 462, 24, 270, 1, 9, 2], [2, 9, 1, 271, 16, 490, 406, 94, 214, 29, 1, 3], [2, 9, 2, 263, 44, 434, 476, 38, 242, 21, 2, 3], [3, 0, 32, 225, 18, 588, 252, 198, 195, 12, 12, 1], [3, 0, 32, 226, 10, 616, 196, 268, 139, 40, 4, 2], [3, 0, 33, 217, 46, 532, 322, 142, 223, 4, 13, 1], [3, 0, 33, 218, 38, 560, 266, 212, 167, 32, 5, 2], [3, 0, 34, 210, 66, 504, 336, 156, 195, 24, 6, 2], [3, 0, 35, 202, 94, 448, 406, 100, 223, 16, 7, 2], [3, 0, 36, 194, 122, 392, 476, 44, 251, 8, 8, 2], [3, 0, 36, 195, 114, 420, 420, 114, 195, 36, 0, 3], [3, 0, 37, 187, 142, 364, 490, 58, 223, 28, 1, 3], [3, 0, 38, 179, 170, 308, 560, 2, 251, 20, 2, 3], [3, 1, 26, 238, 10, 574, 280, 184, 187, 25, 6, 2], [3, 1, 27, 230, 38, 518, 350, 128, 215, 17, 7, 2], [3, 1, 28, 222, 66, 462, 420, 72, 243, 9, 8, 2], [3, 1, 28, 223, 58, 490, 364, 142, 187, 37, 0, 3], [3, 1, 29, 214, 94, 406, 490, 16, 271, 1, 9, 2], [3, 1, 29, 215, 86, 434, 434, 86, 215, 29, 1, 3], [3, 1, 30, 207, 114, 378, 504, 30, 243, 21, 2, 3], [3, 2, 20, 250, 10, 532, 364, 100, 235, 10, 8, 2], [3, 2, 20, 251, 2, 560, 308, 170, 179, 38, 0, 3], [3, 2, 21, 242, 38, 476, 434, 44, 263, 2, 9, 2], [3, 2, 21, 243, 30, 504, 378, 114, 207, 30, 1, 3], [3, 2, 22, 235, 58, 448, 448, 58, 235, 22, 2, 3], [3, 2, 23, 227, 86, 392, 518, 2, 263, 14, 3, 3], [3, 3, 14, 263, 2, 518, 392, 86, 227, 23, 2, 3], [3, 3, 15, 255, 30, 462, 462, 30, 255, 15, 3, 3], [3, 4, 8, 275, 2, 476, 476, 2, 275, 8, 4, 3]}
(12, 1536, 7) has 1775 possible DDs: {[0, 0, 58, 16, 184, 496, 28, 496, 184, 16, 58, 0, 0], [0, 0, 59, 8, 212, 440, 98, 440, 212, 8, 59, 0, 0], [0, 0, 59, 9, 204, 468, 42, 510, 156, 36, 51, 1, 0], [0, 0, 60, 0, 240, 384, 168, 384, 240, 0, 60, 0, 0], [0, 0, 60, 1, 232, 412, 112, 454, 184, 28, 52, 1, 0], [0, 0, 60, 2, 224, 440, 56, 524, 128, 56, 44, 2, 0], [0, 0, 60, 3, 216, 468, 0, 594, 72, 84, 36, 3, 0], [0, 1, 51, 36, 156, 510, 42, 468, 204, 9, 59, 0, 0], [0, 1, 52, 28, 184, 454, 112, 412, 232, 1, 60, 0, 0], [0, 1, 52, 29, 176, 482, 56, 482, 176, 29, 52, 1, 0], [0, 1, 52, 30, 168, 510, 0, 552, 120, 57, 44, 2, 0], [0, 1, 53, 21, 204, 426, 126, 426, 204, 21, 53, 1, 0], [0, 1, 53, 22, 196, 454, 70, 496, 148, 49, 45, 2, 0], [0, 1, 53, 23, 188, 482, 14, 566, 92, 77, 37, 3, 0], [0, 1, 54, 13, 232, 370, 196, 370, 232, 13, 54, 1, 0], [0, 1, 54, 14, 224, 398, 140, 440, 176, 41, 46, 2, 0], [0, 1, 54, 15, 216, 426, 84, 510, 120, 69, 38, 3, 0], [0, 1, 54, 16, 208, 454, 28, 580, 64, 97, 30, 4, 0], 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