-------
(15, 12288, 10) ALL distance distributions
(10, 12288, 10) has 1 possible DDs: {[12, 120, 540, 1440, 2520, 3024, 2520, 1440, 540, 120, 12]}
(11, 12288, 10) has 13 possible DDs: {[0, 132, 0, 1980, 0, 5544, 0, 3960, 0, 660, 0, 12], [1, 121, 55, 1815, 330, 5082, 462, 3630, 165, 605, 11, 11], [2, 110, 110, 1650, 660, 4620, 924, 3300, 330, 550, 22, 10], [3, 99, 165, 1485, 990, 4158, 1386, 2970, 495, 495, 33, 9], [4, 88, 220, 1320, 1320, 3696, 1848, 2640, 660, 440, 44, 8], [5, 77, 275, 1155, 1650, 3234, 2310, 2310, 825, 385, 55, 7], [6, 66, 330, 990, 1980, 2772, 2772, 1980, 990, 330, 66, 6], [7, 55, 385, 825, 2310, 2310, 3234, 1650, 1155, 275, 77, 5], [8, 44, 440, 660, 2640, 1848, 3696, 1320, 1320, 220, 88, 4], [9, 33, 495, 495, 2970, 1386, 4158, 990, 1485, 165, 99, 3], [10, 22, 550, 330, 3300, 924, 4620, 660, 1650, 110, 110, 2], [11, 11, 605, 165, 3630, 462, 5082, 330, 1815, 55, 121, 1], [12, 0, 660, 0, 3960, 0, 5544, 0, 1980, 0, 132, 0]}
(12, 12288, 10) has 49 possible DDs: {[0, 66, 66, 990, 990, 2772, 2772, 1980, 1980, 330, 330, 6, 6], [0, 67, 55, 1045, 825, 3102, 2310, 2442, 1650, 495, 275, 17, 5], [0, 68, 44, 1100, 660, 3432, 1848, 2904, 1320, 660, 220, 28, 4], [0, 69, 33, 1155, 495, 3762, 1386, 3366, 990, 825, 165, 39, 3], [0, 70, 22, 1210, 330, 4092, 924, 3828, 660, 990, 110, 50, 2], [0, 71, 11, 1265, 165, 4422, 462, 4290, 330, 1155, 55, 61, 1], [0, 72, 0, 1320, 0, 4752, 0, 4752, 0, 1320, 0, 72, 0], [1, 55, 121, 825, 1320, 2310, 3234, 1650, 2145, 275, 341, 5, 6], [1, 56, 110, 880, 1155, 2640, 2772, 2112, 1815, 440, 286, 16, 5], [1, 57, 99, 935, 990, 2970, 2310, 2574, 1485, 605, 231, 27, 4], [1, 58, 88, 990, 825, 3300, 1848, 3036, 1155, 770, 176, 38, 3], [1, 59, 77, 1045, 660, 3630, 1386, 3498, 825, 935, 121, 49, 2], [1, 60, 66, 1100, 495, 3960, 924, 3960, 495, 1100, 66, 60, 1], [1, 61, 55, 1155, 330, 4290, 462, 4422, 165, 1265, 11, 71, 0], [2, 44, 176, 660, 1650, 1848, 3696, 1320, 2310, 220, 352, 4, 6], [2, 45, 165, 715, 1485, 2178, 3234, 1782, 1980, 385, 297, 15, 5], [2, 46, 154, 770, 1320, 2508, 2772, 2244, 1650, 550, 242, 26, 4], [2, 47, 143, 825, 1155, 2838, 2310, 2706, 1320, 715, 187, 37, 3], [2, 48, 132, 880, 990, 3168, 1848, 3168, 990, 880, 132, 48, 2], [2, 49, 121, 935, 825, 3498, 1386, 3630, 660, 1045, 77, 59, 1], [2, 50, 110, 990, 660, 3828, 924, 4092, 330, 1210, 22, 70, 0], [3, 33, 231, 495, 1980, 1386, 4158, 990, 2475, 165, 363, 3, 6], [3, 34, 220, 550, 1815, 1716, 3696, 1452, 2145, 330, 308, 14, 5], [3, 35, 209, 605, 1650, 2046, 3234, 1914, 1815, 495, 253, 25, 4], [3, 36, 198, 660, 1485, 2376, 2772, 2376, 1485, 660, 198, 36, 3], [3, 37, 187, 715, 1320, 2706, 2310, 2838, 1155, 825, 143, 47, 2], [3, 38, 176, 770, 1155, 3036, 1848, 3300, 825, 990, 88, 58, 1], [3, 39, 165, 825, 990, 3366, 1386, 3762, 495, 1155, 33, 69, 0], [4, 22, 286, 330, 2310, 924, 4620, 660, 2640, 110, 374, 2, 6], [4, 23, 275, 385, 2145, 1254, 4158, 1122, 2310, 275, 319, 13, 5], [4, 24, 264, 440, 1980, 1584, 3696, 1584, 1980, 440, 264, 24, 4], [4, 25, 253, 495, 1815, 1914, 3234, 2046, 1650, 605, 209, 35, 3], [4, 26, 242, 550, 1650, 2244, 2772, 2508, 1320, 770, 154, 46, 2], [4, 27, 231, 605, 1485, 2574, 2310, 2970, 990, 935, 99, 57, 1], [4, 28, 220, 660, 1320, 2904, 1848, 3432, 660, 1100, 44, 68, 0], [5, 11, 341, 165, 2640, 462, 5082, 330, 2805, 55, 385, 1, 6], [5, 12, 330, 220, 2475, 792, 4620, 792, 2475, 220, 330, 12, 5], [5, 13, 319, 275, 2310, 1122, 4158, 1254, 2145, 385, 275, 23, 4], [5, 14, 308, 330, 2145, 1452, 3696, 1716, 1815, 550, 220, 34, 3], [5, 15, 297, 385, 1980, 1782, 3234, 2178, 1485, 715, 165, 45, 2], [5, 16, 286, 440, 1815, 2112, 2772, 2640, 1155, 880, 110, 56, 1], [5, 17, 275, 495, 1650, 2442, 2310, 3102, 825, 1045, 55, 67, 0], [6, 0, 396, 0, 2970, 0, 5544, 0, 2970, 0, 396, 0, 6], [6, 1, 385, 55, 2805, 330, 5082, 462, 2640, 165, 341, 11, 5], [6, 2, 374, 110, 2640, 660, 4620, 924, 2310, 330, 286, 22, 4], [6, 3, 363, 165, 2475, 990, 4158, 1386, 1980, 495, 231, 33, 3], [6, 4, 352, 220, 2310, 1320, 3696, 1848, 1650, 660, 176, 44, 2], [6, 5, 341, 275, 2145, 1650, 3234, 2310, 1320, 825, 121, 55, 1], [6, 6, 330, 330, 1980, 1980, 2772, 2772, 990, 990, 66, 66, 0]}
(13, 12288, 10) has 168 possible DDs: {[0, 27, 131, 209, 1925, 66, 5214, 66, 3498, 495, 495, 157, 1, 4], [0, 28, 120, 264, 1760, 396, 4752, 528, 3168, 660, 440, 168, 0, 4], [0, 28, 121, 253, 1815, 231, 5082, 66, 3630, 330, 605, 113, 11, 3], [0, 29, 110, 308, 1650, 561, 4620, 528, 3300, 495, 550, 124, 10, 3], [0, 29, 111, 297, 1705, 396, 4950, 66, 3762, 165, 715, 69, 21, 2], [0, 30, 99, 363, 1485, 891, 4158, 990, 2970, 660, 495, 135, 9, 3], [0, 30, 100, 352, 1540, 726, 4488, 528, 3432, 330, 660, 80, 20, 2], [0, 30, 101, 341, 1595, 561, 4818, 66, 3894, 0, 825, 25, 31, 1], [0, 31, 88, 418, 1320, 1221, 3696, 1452, 2640, 825, 440, 146, 8, 3], [0, 31, 89, 407, 1375, 1056, 4026, 990, 3102, 495, 605, 91, 19, 2], [0, 31, 90, 396, 1430, 891, 4356, 528, 3564, 165, 770, 36, 30, 1], [0, 32, 77, 473, 1155, 1551, 3234, 1914, 2310, 990, 385, 157, 7, 3], [0, 32, 78, 462, 1210, 1386, 3564, 1452, 2772, 660, 550, 102, 18, 2], [0, 32, 79, 451, 1265, 1221, 3894, 990, 3234, 330, 715, 47, 29, 1], [0, 33, 66, 528, 990, 1881, 2772, 2376, 1980, 1155, 330, 168, 6, 3], [0, 33, 67, 517, 1045, 1716, 3102, 1914, 2442, 825, 495, 113, 17, 2], [0, 33, 68, 506, 1100, 1551, 3432, 1452, 2904, 495, 660, 58, 28, 1], [0, 33, 69, 495, 1155, 1386, 3762, 990, 3366, 165, 825, 3, 39, 0], [0, 34, 55, 583, 825, 2211, 2310, 2838, 1650, 1320, 275, 179, 5, 3], [0, 34, 56, 572, 880, 2046, 2640, 2376, 2112, 990, 440, 124, 16, 2], [0, 34, 57, 561, 935, 1881, 2970, 1914, 2574, 660, 605, 69, 27, 1], [0, 34, 58, 550, 990, 1716, 3300, 1452, 3036, 330, 770, 14, 38, 0], [0, 35, 44, 638, 660, 2541, 1848, 3300, 1320, 1485, 220, 190, 4, 3], [0, 35, 45, 627, 715, 2376, 2178, 2838, 1782, 1155, 385, 135, 15, 2], [0, 35, 46, 616, 770, 2211, 2508, 2376, 2244, 825, 550, 80, 26, 1], [0, 35, 47, 605, 825, 2046, 2838, 1914, 2706, 495, 715, 25, 37, 0], [0, 36, 33, 693, 495, 2871, 1386, 3762, 990, 1650, 165, 201, 3, 3], [0, 36, 34, 682, 550, 2706, 1716, 3300, 1452, 1320, 330, 146, 14, 2], [0, 36, 35, 671, 605, 2541, 2046, 2838, 1914, 990, 495, 91, 25, 1], [0, 36, 36, 660, 660, 2376, 2376, 2376, 2376, 660, 660, 36, 36, 0], [0, 37, 22, 748, 330, 3201, 924, 4224, 660, 1815, 110, 212, 2, 3], [0, 37, 23, 737, 385, 3036, 1254, 3762, 1122, 1485, 275, 157, 13, 2], [0, 37, 24, 726, 440, 2871, 1584, 3300, 1584, 1155, 440, 102, 24, 1], [0, 37, 25, 715, 495, 2706, 1914, 2838, 2046, 825, 605, 47, 35, 0], [0, 38, 11, 803, 165, 3531, 462, 4686, 330, 1980, 55, 223, 1, 3], [0, 38, 12, 792, 220, 3366, 792, 4224, 792, 1650, 220, 168, 12, 2], [0, 38, 13, 781, 275, 3201, 1122, 3762, 1254, 1320, 385, 113, 23, 1], [0, 38, 14, 770, 330, 3036, 1452, 3300, 1716, 990, 550, 58, 34, 0], [0, 39, 0, 858, 0, 3861, 0, 5148, 0, 2145, 0, 234, 0, 3], [0, 39, 1, 847, 55, 3696, 330, 4686, 462, 1815, 165, 179, 11, 2], [0, 39, 2, 836, 110, 3531, 660, 4224, 924, 1485, 330, 124, 22, 1], [0, 39, 3, 825, 165, 3366, 990, 3762, 1386, 1155, 495, 69, 33, 0], [1, 18, 165, 143, 1980, 99, 5082, 198, 3465, 440, 561, 123, 10, 3], [1, 19, 154, 198, 1815, 429, 4620, 660, 3135, 605, 506, 134, 9, 3], [1, 19, 155, 187, 1870, 264, 4950, 198, 3597, 275, 671, 79, 20, 2], [1, 20, 143, 253, 1650, 759, 4158, 1122, 2805, 770, 451, 145, 8, 3], [1, 20, 144, 242, 1705, 594, 4488, 660, 3267, 440, 616, 90, 19, 2], [1, 20, 145, 231, 1760, 429, 4818, 198, 3729, 110, 781, 35, 30, 1], [1, 21, 132, 308, 1485, 1089, 3696, 1584, 2475, 935, 396, 156, 7, 3], [1, 21, 133, 297, 1540, 924, 4026, 1122, 2937, 605, 561, 101, 18, 2], [1, 21, 134, 286, 1595, 759, 4356, 660, 3399, 275, 726, 46, 29, 1], [1, 22, 121, 363, 1320, 1419, 3234, 2046, 2145, 1100, 341, 167, 6, 3], [1, 22, 122, 352, 1375, 1254, 3564, 1584, 2607, 770, 506, 112, 17, 2], [1, 22, 123, 341, 1430, 1089, 3894, 1122, 3069, 440, 671, 57, 28, 1], [1, 22, 124, 330, 1485, 924, 4224, 660, 3531, 110, 836, 2, 39, 0], [1, 23, 110, 418, 1155, 1749, 2772, 2508, 1815, 1265, 286, 178, 5, 3], [1, 23, 111, 407, 1210, 1584, 3102, 2046, 2277, 935, 451, 123, 16, 2], [1, 23, 112, 396, 1265, 1419, 3432, 1584, 2739, 605, 616, 68, 27, 1], [1, 23, 113, 385, 1320, 1254, 3762, 1122, 3201, 275, 781, 13, 38, 0], [1, 24, 99, 473, 990, 2079, 2310, 2970, 1485, 1430, 231, 189, 4, 3], [1, 24, 100, 462, 1045, 1914, 2640, 2508, 1947, 1100, 396, 134, 15, 2], [1, 24, 101, 451, 1100, 1749, 2970, 2046, 2409, 770, 561, 79, 26, 1], [1, 24, 102, 440, 1155, 1584, 3300, 1584, 2871, 440, 726, 24, 37, 0], [1, 25, 88, 528, 825, 2409, 1848, 3432, 1155, 1595, 176, 200, 3, 3], [1, 25, 89, 517, 880, 2244, 2178, 2970, 1617, 1265, 341, 145, 14, 2], [1, 25, 90, 506, 935, 2079, 2508, 2508, 2079, 935, 506, 90, 25, 1], [1, 25, 91, 495, 990, 1914, 2838, 2046, 2541, 605, 671, 35, 36, 0], [1, 26, 77, 583, 660, 2739, 1386, 3894, 825, 1760, 121, 211, 2, 3], [1, 26, 78, 572, 715, 2574, 1716, 3432, 1287, 1430, 286, 156, 13, 2], [1, 26, 79, 561, 770, 2409, 2046, 2970, 1749, 1100, 451, 101, 24, 1], [1, 26, 80, 550, 825, 2244, 2376, 2508, 2211, 770, 616, 46, 35, 0], [1, 27, 66, 638, 495, 3069, 924, 4356, 495, 1925, 66, 222, 1, 3], [1, 27, 67, 627, 550, 2904, 1254, 3894, 957, 1595, 231, 167, 12, 2], [1, 27, 68, 616, 605, 2739, 1584, 3432, 1419, 1265, 396, 112, 23, 1], [1, 27, 69, 605, 660, 2574, 1914, 2970, 1881, 935, 561, 57, 34, 0], [1, 28, 55, 693, 330, 3399, 462, 4818, 165, 2090, 11, 233, 0, 3], [1, 28, 56, 682, 385, 3234, 792, 4356, 627, 1760, 176, 178, 11, 2], [1, 28, 57, 671, 440, 3069, 1122, 3894, 1089, 1430, 341, 123, 22, 1], [1, 28, 58, 660, 495, 2904, 1452, 3432, 1551, 1100, 506, 68, 33, 0], [1, 29, 45, 737, 220, 3564, 330, 4818, 297, 1925, 121, 189, 10, 2], [1, 29, 46, 726, 275, 3399, 660, 4356, 759, 1595, 286, 134, 21, 1], [1, 29, 47, 715, 330, 3234, 990, 3894, 1221, 1265, 451, 79, 32, 0], [1, 30, 35, 781, 110, 3729, 198, 4818, 429, 1760, 231, 145, 20, 1], [1, 30, 36, 770, 165, 3564, 528, 4356, 891, 1430, 396, 90, 31, 0], [1, 31, 25, 825, 0, 3894, 66, 4818, 561, 1595, 341, 101, 30, 0], [2, 9, 198, 88, 1980, 297, 4620, 792, 2970, 715, 462, 144, 8, 3], [2, 9, 199, 77, 2035, 132, 4950, 330, 3432, 385, 627, 89, 19, 2], [2, 10, 187, 143, 1815, 627, 4158, 1254, 2640, 880, 407, 155, 7, 3], [2, 10, 188, 132, 1870, 462, 4488, 792, 3102, 550, 572, 100, 18, 2], [2, 10, 189, 121, 1925, 297, 4818, 330, 3564, 220, 737, 45, 29, 1], [2, 11, 176, 198, 1650, 957, 3696, 1716, 2310, 1045, 352, 166, 6, 3], [2, 11, 177, 187, 1705, 792, 4026, 1254, 2772, 715, 517, 111, 17, 2], [2, 11, 178, 176, 1760, 627, 4356, 792, 3234, 385, 682, 56, 28, 1], [2, 11, 179, 165, 1815, 462, 4686, 330, 3696, 55, 847, 1, 39, 0], [2, 12, 165, 253, 1485, 1287, 3234, 2178, 1980, 1210, 297, 177, 5, 3], [2, 12, 166, 242, 1540, 1122, 3564, 1716, 2442, 880, 462, 122, 16, 2], [2, 12, 167, 231, 1595, 957, 3894, 1254, 2904, 550, 627, 67, 27, 1], [2, 12, 168, 220, 1650, 792, 4224, 792, 3366, 220, 792, 12, 38, 0], [2, 13, 154, 308, 1320, 1617, 2772, 2640, 1650, 1375, 242, 188, 4, 3], [2, 13, 155, 297, 1375, 1452, 3102, 2178, 2112, 1045, 407, 133, 15, 2], [2, 13, 156, 286, 1430, 1287, 3432, 1716, 2574, 715, 572, 78, 26, 1], [2, 13, 157, 275, 1485, 1122, 3762, 1254, 3036, 385, 737, 23, 37, 0], [2, 14, 143, 363, 1155, 1947, 2310, 3102, 1320, 1540, 187, 199, 3, 3], [2, 14, 144, 352, 1210, 1782, 2640, 2640, 1782, 1210, 352, 144, 14, 2], [2, 14, 145, 341, 1265, 1617, 2970, 2178, 2244, 880, 517, 89, 25, 1], [2, 14, 146, 330, 1320, 1452, 3300, 1716, 2706, 550, 682, 34, 36, 0], [2, 15, 132, 418, 990, 2277, 1848, 3564, 990, 1705, 132, 210, 2, 3], [2, 15, 133, 407, 1045, 2112, 2178, 3102, 1452, 1375, 297, 155, 13, 2], [2, 15, 134, 396, 1100, 1947, 2508, 2640, 1914, 1045, 462, 100, 24, 1], [2, 15, 135, 385, 1155, 1782, 2838, 2178, 2376, 715, 627, 45, 35, 0], [2, 16, 121, 473, 825, 2607, 1386, 4026, 660, 1870, 77, 221, 1, 3], [2, 16, 122, 462, 880, 2442, 1716, 3564, 1122, 1540, 242, 166, 12, 2], [2, 16, 123, 451, 935, 2277, 2046, 3102, 1584, 1210, 407, 111, 23, 1], [2, 16, 124, 440, 990, 2112, 2376, 2640, 2046, 880, 572, 56, 34, 0], [2, 17, 110, 528, 660, 2937, 924, 4488, 330, 2035, 22, 232, 0, 3], [2, 17, 111, 517, 715, 2772, 1254, 4026, 792, 1705, 187, 177, 11, 2], [2, 17, 112, 506, 770, 2607, 1584, 3564, 1254, 1375, 352, 122, 22, 1], [2, 17, 113, 495, 825, 2442, 1914, 3102, 1716, 1045, 517, 67, 33, 0], [2, 18, 100, 572, 550, 3102, 792, 4488, 462, 1870, 132, 188, 10, 2], [2, 18, 101, 561, 605, 2937, 1122, 4026, 924, 1540, 297, 133, 21, 1], [2, 18, 102, 550, 660, 2772, 1452, 3564, 1386, 1210, 462, 78, 32, 0], [2, 19, 89, 627, 385, 3432, 330, 4950, 132, 2035, 77, 199, 9, 2], [2, 19, 90, 616, 440, 3267, 660, 4488, 594, 1705, 242, 144, 20, 1], [2, 19, 91, 605, 495, 3102, 990, 4026, 1056, 1375, 407, 89, 31, 0], [2, 20, 79, 671, 275, 3597, 198, 4950, 264, 1870, 187, 155, 19, 1], [2, 20, 80, 660, 330, 3432, 528, 4488, 726, 1540, 352, 100, 30, 0], [2, 21, 69, 715, 165, 3762, 66, 4950, 396, 1705, 297, 111, 29, 0], [3, 0, 231, 33, 1980, 495, 4158, 1386, 2475, 990, 363, 165, 6, 3], [3, 0, 232, 22, 2035, 330, 4488, 924, 2937, 660, 528, 110, 17, 2], [3, 0, 233, 11, 2090, 165, 4818, 462, 3399, 330, 693, 55, 28, 1], [3, 0, 234, 0, 2145, 0, 5148, 0, 3861, 0, 858, 0, 39, 0], [3, 1, 220, 88, 1815, 825, 3696, 1848, 2145, 1155, 308, 176, 5, 3], [3, 1, 221, 77, 1870, 660, 4026, 1386, 2607, 825, 473, 121, 16, 2], [3, 1, 222, 66, 1925, 495, 4356, 924, 3069, 495, 638, 66, 27, 1], [3, 1, 223, 55, 1980, 330, 4686, 462, 3531, 165, 803, 11, 38, 0], [3, 2, 209, 143, 1650, 1155, 3234, 2310, 1815, 1320, 253, 187, 4, 3], [3, 2, 210, 132, 1705, 990, 3564, 1848, 2277, 990, 418, 132, 15, 2], [3, 2, 211, 121, 1760, 825, 3894, 1386, 2739, 660, 583, 77, 26, 1], [3, 2, 212, 110, 1815, 660, 4224, 924, 3201, 330, 748, 22, 37, 0], [3, 3, 198, 198, 1485, 1485, 2772, 2772, 1485, 1485, 198, 198, 3, 3], [3, 3, 199, 187, 1540, 1320, 3102, 2310, 1947, 1155, 363, 143, 14, 2], [3, 3, 200, 176, 1595, 1155, 3432, 1848, 2409, 825, 528, 88, 25, 1], [3, 3, 201, 165, 1650, 990, 3762, 1386, 2871, 495, 693, 33, 36, 0], [3, 4, 187, 253, 1320, 1815, 2310, 3234, 1155, 1650, 143, 209, 2, 3], [3, 4, 188, 242, 1375, 1650, 2640, 2772, 1617, 1320, 308, 154, 13, 2], [3, 4, 189, 231, 1430, 1485, 2970, 2310, 2079, 990, 473, 99, 24, 1], [3, 4, 190, 220, 1485, 1320, 3300, 1848, 2541, 660, 638, 44, 35, 0], [3, 5, 176, 308, 1155, 2145, 1848, 3696, 825, 1815, 88, 220, 1, 3], [3, 5, 177, 297, 1210, 1980, 2178, 3234, 1287, 1485, 253, 165, 12, 2], [3, 5, 178, 286, 1265, 1815, 2508, 2772, 1749, 1155, 418, 110, 23, 1], [3, 5, 179, 275, 1320, 1650, 2838, 2310, 2211, 825, 583, 55, 34, 0], [3, 6, 165, 363, 990, 2475, 1386, 4158, 495, 1980, 33, 231, 0, 3], [3, 6, 166, 352, 1045, 2310, 1716, 3696, 957, 1650, 198, 176, 11, 2], [3, 6, 167, 341, 1100, 2145, 2046, 3234, 1419, 1320, 363, 121, 22, 1], [3, 6, 168, 330, 1155, 1980, 2376, 2772, 1881, 990, 528, 66, 33, 0], [3, 7, 155, 407, 880, 2640, 1254, 4158, 627, 1815, 143, 187, 10, 2], [3, 7, 156, 396, 935, 2475, 1584, 3696, 1089, 1485, 308, 132, 21, 1], [3, 7, 157, 385, 990, 2310, 1914, 3234, 1551, 1155, 473, 77, 32, 0], [3, 8, 144, 462, 715, 2970, 792, 4620, 297, 1980, 88, 198, 9, 2], [3, 8, 145, 451, 770, 2805, 1122, 4158, 759, 1650, 253, 143, 20, 1], [3, 8, 146, 440, 825, 2640, 1452, 3696, 1221, 1320, 418, 88, 31, 0], [3, 9, 134, 506, 605, 3135, 660, 4620, 429, 1815, 198, 154, 19, 1], [3, 9, 135, 495, 660, 2970, 990, 4158, 891, 1485, 363, 99, 30, 0], [3, 10, 123, 561, 440, 3465, 198, 5082, 99, 1980, 143, 165, 18, 1], [3, 10, 124, 550, 495, 3300, 528, 4620, 561, 1650, 308, 110, 29, 0], [3, 11, 113, 605, 330, 3630, 66, 5082, 231, 1815, 253, 121, 28, 0], [4, 0, 168, 440, 660, 3168, 528, 4752, 396, 1760, 264, 120, 28, 0], [4, 1, 157, 495, 495, 3498, 66, 5214, 66, 1925, 209, 131, 27, 0]}
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2761, 242, 401, 53, 10, 1], [2, 1, 89, 314, 396, 2519, 495, 4620, 594, 2431, 407, 346, 64, 9, 1], [2, 1, 89, 315, 385, 2574, 330, 4950, 132, 2893, 77, 511, 9, 20, 0], [2, 1, 90, 303, 451, 2354, 825, 4158, 1056, 2101, 572, 291, 75, 8, 1], [2, 1, 90, 304, 440, 2409, 660, 4488, 594, 2563, 242, 456, 20, 19, 0], [2, 1, 91, 292, 506, 2189, 1155, 3696, 1518, 1771, 737, 236, 86, 7, 1], [2, 1, 91, 293, 495, 2244, 990, 4026, 1056, 2233, 407, 401, 31, 18, 0], [2, 1, 92, 281, 561, 2024, 1485, 3234, 1980, 1441, 902, 181, 97, 6, 1], [2, 1, 92, 282, 550, 2079, 1320, 3564, 1518, 1903, 572, 346, 42, 17, 0], [2, 1, 93, 270, 616, 1859, 1815, 2772, 2442, 1111, 1067, 126, 108, 5, 1], [2, 1, 93, 271, 605, 1914, 1650, 3102, 1980, 1573, 737, 291, 53, 16, 0], [2, 1, 94, 259, 671, 1694, 2145, 2310, 2904, 781, 1232, 71, 119, 4, 1], [2, 1, 94, 260, 660, 1749, 1980, 2640, 2442, 1243, 902, 236, 64, 15, 0], [2, 1, 95, 248, 726, 1529, 2475, 1848, 3366, 451, 1397, 16, 130, 3, 1], [2, 1, 95, 249, 715, 1584, 2310, 2178, 2904, 913, 1067, 181, 75, 14, 0], [2, 1, 96, 238, 770, 1419, 2640, 1716, 3366, 583, 1232, 126, 86, 13, 0], [2, 1, 97, 227, 825, 1254, 2970, 1254, 3828, 253, 1397, 71, 97, 12, 0], [2, 2, 78, 369, 231, 2849, 33, 5082, 264, 2596, 352, 357, 63, 9, 1], [2, 2, 79, 358, 286, 2684, 363, 4620, 726, 2266, 517, 302, 74, 8, 1], [2, 2, 79, 359, 275, 2739, 198, 4950, 264, 2728, 187, 467, 19, 19, 0], [2, 2, 80, 347, 341, 2519, 693, 4158, 1188, 1936, 682, 247, 85, 7, 1], [2, 2, 80, 348, 330, 2574, 528, 4488, 726, 2398, 352, 412, 30, 18, 0], [2, 2, 81, 336, 396, 2354, 1023, 3696, 1650, 1606, 847, 192, 96, 6, 1], [2, 2, 81, 337, 385, 2409, 858, 4026, 1188, 2068, 517, 357, 41, 17, 0], [2, 2, 82, 325, 451, 2189, 1353, 3234, 2112, 1276, 1012, 137, 107, 5, 1], [2, 2, 82, 326, 440, 2244, 1188, 3564, 1650, 1738, 682, 302, 52, 16, 0], [2, 2, 83, 314, 506, 2024, 1683, 2772, 2574, 946, 1177, 82, 118, 4, 1], [2, 2, 83, 315, 495, 2079, 1518, 3102, 2112, 1408, 847, 247, 63, 15, 0], [2, 2, 84, 303, 561, 1859, 2013, 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(15, 12288, 10) has 1376 possible DDs: {[0, 2, 83, 25, 645, 1551, 286, 4884, 330, 2640, 1375, 97, 353, 15, 0, 2], [0, 2, 84, 14, 700, 1386, 616, 4422, 792, 2310, 1540, 42, 364, 14, 0, 2], [0, 3, 73, 69, 535, 1716, 154, 4884, 462, 2475, 1485, 53, 363, 14, 0, 2], [0, 3, 76, 40, 657, 1430, 539, 4653, 330, 2871, 1122, 218, 341, 0, 7, 1], [0, 3, 77, 30, 701, 1320, 704, 4521, 330, 3003, 957, 328, 297, 10, 6, 1], [0, 3, 78, 19, 756, 1155, 1034, 4059, 792, 2673, 1122, 273, 308, 9, 6, 1], [0, 3, 78, 20, 745, 1210, 869, 4389, 330, 3135, 792, 438, 253, 20, 5, 1], [0, 3, 79, 8, 811, 990, 1364, 3597, 1254, 2343, 1287, 218, 319, 8, 6, 1], [0, 3, 79, 9, 800, 1045, 1199, 3927, 792, 2805, 957, 383, 264, 19, 5, 1], [0, 3, 79, 10, 789, 1100, 1034, 4257, 330, 3267, 627, 548, 209, 30, 4, 1], [0, 3, 80, 0, 833, 990, 1199, 4125, 330, 3399, 462, 658, 165, 40, 3, 1], [0, 4, 63, 113, 425, 1881, 22, 4884, 594, 2310, 1595, 9, 373, 13, 0, 2], [0, 4, 65, 95, 492, 1760, 77, 5115, 0, 3036, 1067, 229, 340, 0, 7, 1], [0, 4, 66, 85, 536, 1650, 242, 4983, 0, 3168, 902, 339, 296, 10, 6, 1], [0, 4, 67, 74, 591, 1485, 572, 4521, 462, 2838, 1067, 284, 307, 9, 6, 1], [0, 4, 67, 75, 580, 1540, 407, 4851, 0, 3300, 737, 449, 252, 20, 5, 1], [0, 4, 68, 63, 646, 1320, 902, 4059, 924, 2508, 1232, 229, 318, 8, 6, 1], [0, 4, 68, 64, 635, 1375, 737, 4389, 462, 2970, 902, 394, 263, 19, 5, 1], [0, 4, 68, 65, 624, 1430, 572, 4719, 0, 3432, 572, 559, 208, 30, 4, 1], [0, 4, 69, 52, 701, 1155, 1232, 3597, 1386, 2178, 1397, 174, 329, 7, 6, 1], [0, 4, 69, 53, 690, 1210, 1067, 3927, 924, 2640, 1067, 339, 274, 18, 5, 1], [0, 4, 69, 54, 679, 1265, 902, 4257, 462, 3102, 737, 504, 219, 29, 4, 1], [0, 4, 69, 55, 668, 1320, 737, 4587, 0, 3564, 407, 669, 164, 40, 3, 1], [0, 4, 70, 41, 756, 990, 1562, 3135, 1848, 1848, 1562, 119, 340, 6, 6, 1], [0, 4, 70, 42, 745, 1045, 1397, 3465, 1386, 2310, 1232, 284, 285, 17, 5, 1], [0, 4, 70, 43, 734, 1100, 1232, 3795, 924, 2772, 902, 449, 230, 28, 4, 1], [0, 4, 70, 44, 723, 1155, 1067, 4125, 462, 3234, 572, 614, 175, 39, 3, 1], [0, 4, 70, 45, 712, 1210, 902, 4455, 0, 3696, 242, 779, 120, 50, 2, 1], [0, 4, 71, 30, 811, 825, 1892, 2673, 2310, 1518, 1727, 64, 351, 5, 6, 1], [0, 4, 71, 31, 800, 880, 1727, 3003, 1848, 1980, 1397, 229, 296, 16, 5, 1], [0, 4, 71, 32, 789, 935, 1562, 3333, 1386, 2442, 1067, 394, 241, 27, 4, 1], [0, 4, 71, 33, 778, 990, 1397, 3663, 924, 2904, 737, 559, 186, 38, 3, 1], [0, 4, 71, 34, 767, 1045, 1232, 3993, 462, 3366, 407, 724, 131, 49, 2, 1], [0, 4, 71, 35, 756, 1100, 1067, 4323, 0, 3828, 77, 889, 76, 60, 1, 1], [0, 4, 71, 35, 757, 1089, 1122, 4158, 330, 3366, 539, 559, 241, 5, 12, 0], [0, 4, 72, 19, 866, 660, 2222, 2211, 2772, 1188, 1892, 9, 362, 4, 6, 1], [0, 4, 72, 20, 855, 715, 2057, 2541, 2310, 1650, 1562, 174, 307, 15, 5, 1], [0, 4, 72, 21, 844, 770, 1892, 2871, 1848, 2112, 1232, 339, 252, 26, 4, 1], [0, 4, 72, 22, 833, 825, 1727, 3201, 1386, 2574, 902, 504, 197, 37, 3, 1], [0, 4, 72, 23, 822, 880, 1562, 3531, 924, 3036, 572, 669, 142, 48, 2, 1], [0, 4, 72, 24, 811, 935, 1397, 3861, 462, 3498, 242, 834, 87, 59, 1, 1], [0, 4, 72, 24, 812, 924, 1452, 3696, 792, 3036, 704, 504, 252, 4, 12, 0], [0, 4, 72, 25, 801, 979, 1287, 4026, 330, 3498, 374, 669, 197, 15, 11, 0], [0, 4, 73, 9, 910, 550, 2387, 2079, 2772, 1320, 1727, 119, 318, 14, 5, 1], [0, 4, 73, 10, 899, 605, 2222, 2409, 2310, 1782, 1397, 284, 263, 25, 4, 1], [0, 4, 73, 11, 888, 660, 2057, 2739, 1848, 2244, 1067, 449, 208, 36, 3, 1], [0, 4, 73, 12, 877, 715, 1892, 3069, 1386, 2706, 737, 614, 153, 47, 2, 1], [0, 4, 73, 13, 866, 770, 1727, 3399, 924, 3168, 407, 779, 98, 58, 1, 1], [0, 4, 73, 13, 867, 759, 1782, 3234, 1254, 2706, 869, 449, 263, 3, 12, 0], [0, 4, 73, 14, 855, 825, 1562, 3729, 462, 3630, 77, 944, 43, 69, 0, 1], [0, 4, 73, 14, 856, 814, 1617, 3564, 792, 3168, 539, 614, 208, 14, 11, 0], [0, 4, 73, 15, 845, 869, 1452, 3894, 330, 3630, 209, 779, 153, 25, 10, 0], [0, 4, 74, 0, 943, 495, 2387, 2277, 2310, 1914, 1232, 394, 219, 35, 3, 1], [0, 4, 74, 1, 932, 550, 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