------- (15, 13312, 10) ALL distance distributions (10, 13312, 10) has 1 possible DDs: {[13, 130, 585, 1560, 2730, 3276, 2730, 1560, 585, 130, 13]} (11, 13312, 10) has 14 possible DDs: {[0, 143, 0, 2145, 0, 6006, 0, 4290, 0, 715, 0, 13], [1, 132, 55, 1980, 330, 5544, 462, 3960, 165, 660, 11, 12], [2, 121, 110, 1815, 660, 5082, 924, 3630, 330, 605, 22, 11], [3, 110, 165, 1650, 990, 4620, 1386, 3300, 495, 550, 33, 10], [4, 99, 220, 1485, 1320, 4158, 1848, 2970, 660, 495, 44, 9], [5, 88, 275, 1320, 1650, 3696, 2310, 2640, 825, 440, 55, 8], [6, 77, 330, 1155, 1980, 3234, 2772, 2310, 990, 385, 66, 7], [7, 66, 385, 990, 2310, 2772, 3234, 1980, 1155, 330, 77, 6], [8, 55, 440, 825, 2640, 2310, 3696, 1650, 1320, 275, 88, 5], [9, 44, 495, 660, 2970, 1848, 4158, 1320, 1485, 220, 99, 4], [10, 33, 550, 495, 3300, 1386, 4620, 990, 1650, 165, 110, 3], [11, 22, 605, 330, 3630, 924, 5082, 660, 1815, 110, 121, 2], [12, 11, 660, 165, 3960, 462, 5544, 330, 1980, 55, 132, 1], [13, 0, 715, 0, 4290, 0, 6006, 0, 2145, 0, 143, 0]} (12, 13312, 10) has 53 possible DDs: {[0, 71, 77, 1045, 1155, 2838, 3234, 1914, 2310, 275, 385, 1, 7], [0, 72, 66, 1100, 990, 3168, 2772, 2376, 1980, 440, 330, 12, 6], [0, 73, 55, 1155, 825, 3498, 2310, 2838, 1650, 605, 275, 23, 5], [0, 74, 44, 1210, 660, 3828, 1848, 3300, 1320, 770, 220, 34, 4], [0, 75, 33, 1265, 495, 4158, 1386, 3762, 990, 935, 165, 45, 3], [0, 76, 22, 1320, 330, 4488, 924, 4224, 660, 1100, 110, 56, 2], [0, 77, 11, 1375, 165, 4818, 462, 4686, 330, 1265, 55, 67, 1], [0, 78, 0, 1430, 0, 5148, 0, 5148, 0, 1430, 0, 78, 0], [1, 60, 132, 880, 1485, 2376, 3696, 1584, 2475, 220, 396, 0, 7], [1, 61, 121, 935, 1320, 2706, 3234, 2046, 2145, 385, 341, 11, 6], [1, 62, 110, 990, 1155, 3036, 2772, 2508, 1815, 550, 286, 22, 5], [1, 63, 99, 1045, 990, 3366, 2310, 2970, 1485, 715, 231, 33, 4], [1, 64, 88, 1100, 825, 3696, 1848, 3432, 1155, 880, 176, 44, 3], [1, 65, 77, 1155, 660, 4026, 1386, 3894, 825, 1045, 121, 55, 2], [1, 66, 66, 1210, 495, 4356, 924, 4356, 495, 1210, 66, 66, 1], [1, 67, 55, 1265, 330, 4686, 462, 4818, 165, 1375, 11, 77, 0], [2, 50, 176, 770, 1650, 2244, 3696, 1716, 2310, 330, 352, 10, 6], [2, 51, 165, 825, 1485, 2574, 3234, 2178, 1980, 495, 297, 21, 5], [2, 52, 154, 880, 1320, 2904, 2772, 2640, 1650, 660, 242, 32, 4], [2, 53, 143, 935, 1155, 3234, 2310, 3102, 1320, 825, 187, 43, 3], [2, 54, 132, 990, 990, 3564, 1848, 3564, 990, 990, 132, 54, 2], [2, 55, 121, 1045, 825, 3894, 1386, 4026, 660, 1155, 77, 65, 1], [2, 56, 110, 1100, 660, 4224, 924, 4488, 330, 1320, 22, 76, 0], [3, 39, 231, 605, 1980, 1782, 4158, 1386, 2475, 275, 363, 9, 6], [3, 40, 220, 660, 1815, 2112, 3696, 1848, 2145, 440, 308, 20, 5], [3, 41, 209, 715, 1650, 2442, 3234, 2310, 1815, 605, 253, 31, 4], [3, 42, 198, 770, 1485, 2772, 2772, 2772, 1485, 770, 198, 42, 3], [3, 43, 187, 825, 1320, 3102, 2310, 3234, 1155, 935, 143, 53, 2], [3, 44, 176, 880, 1155, 3432, 1848, 3696, 825, 1100, 88, 64, 1], [3, 45, 165, 935, 990, 3762, 1386, 4158, 495, 1265, 33, 75, 0], [4, 28, 286, 440, 2310, 1320, 4620, 1056, 2640, 220, 374, 8, 6], [4, 29, 275, 495, 2145, 1650, 4158, 1518, 2310, 385, 319, 19, 5], [4, 30, 264, 550, 1980, 1980, 3696, 1980, 1980, 550, 264, 30, 4], [4, 31, 253, 605, 1815, 2310, 3234, 2442, 1650, 715, 209, 41, 3], [4, 32, 242, 660, 1650, 2640, 2772, 2904, 1320, 880, 154, 52, 2], [4, 33, 231, 715, 1485, 2970, 2310, 3366, 990, 1045, 99, 63, 1], [4, 34, 220, 770, 1320, 3300, 1848, 3828, 660, 1210, 44, 74, 0], [5, 17, 341, 275, 2640, 858, 5082, 726, 2805, 165, 385, 7, 6], [5, 18, 330, 330, 2475, 1188, 4620, 1188, 2475, 330, 330, 18, 5], [5, 19, 319, 385, 2310, 1518, 4158, 1650, 2145, 495, 275, 29, 4], [5, 20, 308, 440, 2145, 1848, 3696, 2112, 1815, 660, 220, 40, 3], [5, 21, 297, 495, 1980, 2178, 3234, 2574, 1485, 825, 165, 51, 2], [5, 22, 286, 550, 1815, 2508, 2772, 3036, 1155, 990, 110, 62, 1], [5, 23, 275, 605, 1650, 2838, 2310, 3498, 825, 1155, 55, 73, 0], [6, 6, 396, 110, 2970, 396, 5544, 396, 2970, 110, 396, 6, 6], [6, 7, 385, 165, 2805, 726, 5082, 858, 2640, 275, 341, 17, 5], [6, 8, 374, 220, 2640, 1056, 4620, 1320, 2310, 440, 286, 28, 4], [6, 9, 363, 275, 2475, 1386, 4158, 1782, 1980, 605, 231, 39, 3], [6, 10, 352, 330, 2310, 1716, 3696, 2244, 1650, 770, 176, 50, 2], [6, 11, 341, 385, 2145, 2046, 3234, 2706, 1320, 935, 121, 61, 1], [6, 12, 330, 440, 1980, 2376, 2772, 3168, 990, 1100, 66, 72, 0], [7, 0, 396, 220, 2475, 1584, 3696, 2376, 1485, 880, 132, 60, 1], [7, 1, 385, 275, 2310, 1914, 3234, 2838, 1155, 1045, 77, 71, 0]} (13, 13312, 10) has 200 possible DDs: {[0, 30, 134, 264, 1980, 264, 5412, 264, 3696, 550, 550, 160, 4, 4], [0, 31, 123, 319, 1815, 594, 4950, 726, 3366, 715, 495, 171, 3, 4], [0, 31, 124, 308, 1870, 429, 5280, 264, 3828, 385, 660, 116, 14, 3], [0, 32, 112, 374, 1650, 924, 4488, 1188, 3036, 880, 440, 182, 2, 4], [0, 32, 113, 363, 1705, 759, 4818, 726, 3498, 550, 605, 127, 13, 3], [0, 32, 114, 352, 1760, 594, 5148, 264, 3960, 220, 770, 72, 24, 2], [0, 33, 101, 429, 1485, 1254, 4026, 1650, 2706, 1045, 385, 193, 1, 4], [0, 33, 102, 418, 1540, 1089, 4356, 1188, 3168, 715, 550, 138, 12, 3], [0, 33, 103, 407, 1595, 924, 4686, 726, 3630, 385, 715, 83, 23, 2], [0, 33, 104, 396, 1650, 759, 5016, 264, 4092, 55, 880, 28, 34, 1], [0, 34, 90, 484, 1320, 1584, 3564, 2112, 2376, 1210, 330, 204, 0, 4], [0, 34, 91, 473, 1375, 1419, 3894, 1650, 2838, 880, 495, 149, 11, 3], [0, 34, 92, 462, 1430, 1254, 4224, 1188, 3300, 550, 660, 94, 22, 2], [0, 34, 93, 451, 1485, 1089, 4554, 726, 3762, 220, 825, 39, 33, 1], [0, 35, 80, 528, 1210, 1749, 3432, 2112, 2508, 1045, 440, 160, 10, 3], [0, 35, 81, 517, 1265, 1584, 3762, 1650, 2970, 715, 605, 105, 21, 2], [0, 35, 82, 506, 1320, 1419, 4092, 1188, 3432, 385, 770, 50, 32, 1], [0, 36, 69, 583, 1045, 2079, 2970, 2574, 2178, 1210, 385, 171, 9, 3], [0, 36, 70, 572, 1100, 1914, 3300, 2112, 2640, 880, 550, 116, 20, 2], [0, 36, 71, 561, 1155, 1749, 3630, 1650, 3102, 550, 715, 61, 31, 1], [0, 36, 72, 550, 1210, 1584, 3960, 1188, 3564, 220, 880, 6, 42, 0], [0, 37, 58, 638, 880, 2409, 2508, 3036, 1848, 1375, 330, 182, 8, 3], [0, 37, 59, 627, 935, 2244, 2838, 2574, 2310, 1045, 495, 127, 19, 2], [0, 37, 60, 616, 990, 2079, 3168, 2112, 2772, 715, 660, 72, 30, 1], [0, 37, 61, 605, 1045, 1914, 3498, 1650, 3234, 385, 825, 17, 41, 0], [0, 38, 47, 693, 715, 2739, 2046, 3498, 1518, 1540, 275, 193, 7, 3], [0, 38, 48, 682, 770, 2574, 2376, 3036, 1980, 1210, 440, 138, 18, 2], [0, 38, 49, 671, 825, 2409, 2706, 2574, 2442, 880, 605, 83, 29, 1], [0, 38, 50, 660, 880, 2244, 3036, 2112, 2904, 550, 770, 28, 40, 0], [0, 39, 36, 748, 550, 3069, 1584, 3960, 1188, 1705, 220, 204, 6, 3], [0, 39, 37, 737, 605, 2904, 1914, 3498, 1650, 1375, 385, 149, 17, 2], [0, 39, 38, 726, 660, 2739, 2244, 3036, 2112, 1045, 550, 94, 28, 1], [0, 39, 39, 715, 715, 2574, 2574, 2574, 2574, 715, 715, 39, 39, 0], [0, 40, 25, 803, 385, 3399, 1122, 4422, 858, 1870, 165, 215, 5, 3], [0, 40, 26, 792, 440, 3234, 1452, 3960, 1320, 1540, 330, 160, 16, 2], [0, 40, 27, 781, 495, 3069, 1782, 3498, 1782, 1210, 495, 105, 27, 1], [0, 40, 28, 770, 550, 2904, 2112, 3036, 2244, 880, 660, 50, 38, 0], [0, 41, 14, 858, 220, 3729, 660, 4884, 528, 2035, 110, 226, 4, 3], [0, 41, 15, 847, 275, 3564, 990, 4422, 990, 1705, 275, 171, 15, 2], [0, 41, 16, 836, 330, 3399, 1320, 3960, 1452, 1375, 440, 116, 26, 1], [0, 41, 17, 825, 385, 3234, 1650, 3498, 1914, 1045, 605, 61, 37, 0], [0, 42, 3, 913, 55, 4059, 198, 5346, 198, 2200, 55, 237, 3, 3], [0, 42, 4, 902, 110, 3894, 528, 4884, 660, 1870, 220, 182, 14, 2], [0, 42, 5, 891, 165, 3729, 858, 4422, 1122, 1540, 385, 127, 25, 1], [0, 42, 6, 880, 220, 3564, 1188, 3960, 1584, 1210, 550, 72, 36, 0], [1, 20, 178, 154, 2145, 132, 5412, 396, 3531, 660, 506, 170, 3, 4], [1, 21, 167, 209, 1980, 462, 4950, 858, 3201, 825, 451, 181, 2, 4], [1, 21, 168, 198, 2035, 297, 5280, 396, 3663, 495, 616, 126, 13, 3], [1, 22, 156, 264, 1815, 792, 4488, 1320, 2871, 990, 396, 192, 1, 4], [1, 22, 157, 253, 1870, 627, 4818, 858, 3333, 660, 561, 137, 12, 3], [1, 22, 158, 242, 1925, 462, 5148, 396, 3795, 330, 726, 82, 23, 2], [1, 23, 145, 319, 1650, 1122, 4026, 1782, 2541, 1155, 341, 203, 0, 4], [1, 23, 146, 308, 1705, 957, 4356, 1320, 3003, 825, 506, 148, 11, 3], [1, 23, 147, 297, 1760, 792, 4686, 858, 3465, 495, 671, 93, 22, 2], [1, 23, 148, 286, 1815, 627, 5016, 396, 3927, 165, 836, 38, 33, 1], [1, 24, 135, 363, 1540, 1287, 3894, 1782, 2673, 990, 451, 159, 10, 3], [1, 24, 136, 352, 1595, 1122, 4224, 1320, 3135, 660, 616, 104, 21, 2], [1, 24, 137, 341, 1650, 957, 4554, 858, 3597, 330, 781, 49, 32, 1], [1, 25, 124, 418, 1375, 1617, 3432, 2244, 2343, 1155, 396, 170, 9, 3], [1, 25, 125, 407, 1430, 1452, 3762, 1782, 2805, 825, 561, 115, 20, 2], [1, 25, 126, 396, 1485, 1287, 4092, 1320, 3267, 495, 726, 60, 31, 1], [1, 25, 127, 385, 1540, 1122, 4422, 858, 3729, 165, 891, 5, 42, 0], [1, 26, 113, 473, 1210, 1947, 2970, 2706, 2013, 1320, 341, 181, 8, 3], [1, 26, 114, 462, 1265, 1782, 3300, 2244, 2475, 990, 506, 126, 19, 2], [1, 26, 115, 451, 1320, 1617, 3630, 1782, 2937, 660, 671, 71, 30, 1], [1, 26, 116, 440, 1375, 1452, 3960, 1320, 3399, 330, 836, 16, 41, 0], [1, 27, 102, 528, 1045, 2277, 2508, 3168, 1683, 1485, 286, 192, 7, 3], [1, 27, 103, 517, 1100, 2112, 2838, 2706, 2145, 1155, 451, 137, 18, 2], [1, 27, 104, 506, 1155, 1947, 3168, 2244, 2607, 825, 616, 82, 29, 1], [1, 27, 105, 495, 1210, 1782, 3498, 1782, 3069, 495, 781, 27, 40, 0], [1, 28, 91, 583, 880, 2607, 2046, 3630, 1353, 1650, 231, 203, 6, 3], [1, 28, 92, 572, 935, 2442, 2376, 3168, 1815, 1320, 396, 148, 17, 2], [1, 28, 93, 561, 990, 2277, 2706, 2706, 2277, 990, 561, 93, 28, 1], [1, 28, 94, 550, 1045, 2112, 3036, 2244, 2739, 660, 726, 38, 39, 0], [1, 29, 80, 638, 715, 2937, 1584, 4092, 1023, 1815, 176, 214, 5, 3], [1, 29, 81, 627, 770, 2772, 1914, 3630, 1485, 1485, 341, 159, 16, 2], [1, 29, 82, 616, 825, 2607, 2244, 3168, 1947, 1155, 506, 104, 27, 1], [1, 29, 83, 605, 880, 2442, 2574, 2706, 2409, 825, 671, 49, 38, 0], [1, 30, 69, 693, 550, 3267, 1122, 4554, 693, 1980, 121, 225, 4, 3], [1, 30, 70, 682, 605, 3102, 1452, 4092, 1155, 1650, 286, 170, 15, 2], [1, 30, 71, 671, 660, 2937, 1782, 3630, 1617, 1320, 451, 115, 26, 1], [1, 30, 72, 660, 715, 2772, 2112, 3168, 2079, 990, 616, 60, 37, 0], [1, 31, 58, 748, 385, 3597, 660, 5016, 363, 2145, 66, 236, 3, 3], [1, 31, 59, 737, 440, 3432, 990, 4554, 825, 1815, 231, 181, 14, 2], [1, 31, 60, 726, 495, 3267, 1320, 4092, 1287, 1485, 396, 126, 25, 1], [1, 31, 61, 715, 550, 3102, 1650, 3630, 1749, 1155, 561, 71, 36, 0], [1, 32, 47, 803, 220, 3927, 198, 5478, 33, 2310, 11, 247, 2, 3], [1, 32, 48, 792, 275, 3762, 528, 5016, 495, 1980, 176, 192, 13, 2], [1, 32, 49, 781, 330, 3597, 858, 4554, 957, 1650, 341, 137, 24, 1], [1, 32, 50, 770, 385, 3432, 1188, 4092, 1419, 1320, 506, 82, 35, 0], [1, 33, 37, 847, 110, 4092, 66, 5478, 165, 2145, 121, 203, 12, 2], [1, 33, 38, 836, 165, 3927, 396, 5016, 627, 1815, 286, 148, 23, 1], [1, 33, 39, 825, 220, 3762, 726, 4554, 1089, 1485, 451, 93, 34, 0], [1, 34, 28, 880, 55, 4092, 264, 5016, 759, 1650, 396, 104, 33, 0], [2, 10, 222, 44, 2310, 0, 5412, 528, 3366, 770, 462, 180, 2, 4], [2, 11, 211, 99, 2145, 330, 4950, 990, 3036, 935, 407, 191, 1, 4], [2, 11, 212, 88, 2200, 165, 5280, 528, 3498, 605, 572, 136, 12, 3], [2, 11, 213, 77, 2255, 0, 5610, 66, 3960, 275, 737, 81, 23, 2], [2, 12, 200, 154, 1980, 660, 4488, 1452, 2706, 1100, 352, 202, 0, 4], [2, 12, 201, 143, 2035, 495, 4818, 990, 3168, 770, 517, 147, 11, 3], [2, 12, 202, 132, 2090, 330, 5148, 528, 3630, 440, 682, 92, 22, 2], [2, 12, 203, 121, 2145, 165, 5478, 66, 4092, 110, 847, 37, 33, 1], [2, 13, 190, 198, 1870, 825, 4356, 1452, 2838, 935, 462, 158, 10, 3], [2, 13, 191, 187, 1925, 660, 4686, 990, 3300, 605, 627, 103, 21, 2], [2, 13, 192, 176, 1980, 495, 5016, 528, 3762, 275, 792, 48, 32, 1], [2, 14, 179, 253, 1705, 1155, 3894, 1914, 2508, 1100, 407, 169, 9, 3], [2, 14, 180, 242, 1760, 990, 4224, 1452, 2970, 770, 572, 114, 20, 2], [2, 14, 181, 231, 1815, 825, 4554, 990, 3432, 440, 737, 59, 31, 1], [2, 14, 182, 220, 1870, 660, 4884, 528, 3894, 110, 902, 4, 42, 0], [2, 15, 168, 308, 1540, 1485, 3432, 2376, 2178, 1265, 352, 180, 8, 3], [2, 15, 169, 297, 1595, 1320, 3762, 1914, 2640, 935, 517, 125, 19, 2], [2, 15, 170, 286, 1650, 1155, 4092, 1452, 3102, 605, 682, 70, 30, 1], [2, 15, 171, 275, 1705, 990, 4422, 990, 3564, 275, 847, 15, 41, 0], [2, 16, 157, 363, 1375, 1815, 2970, 2838, 1848, 1430, 297, 191, 7, 3], [2, 16, 158, 352, 1430, 1650, 3300, 2376, 2310, 1100, 462, 136, 18, 2], [2, 16, 159, 341, 1485, 1485, 3630, 1914, 2772, 770, 627, 81, 29, 1], [2, 16, 160, 330, 1540, 1320, 3960, 1452, 3234, 440, 792, 26, 40, 0], [2, 17, 146, 418, 1210, 2145, 2508, 3300, 1518, 1595, 242, 202, 6, 3], [2, 17, 147, 407, 1265, 1980, 2838, 2838, 1980, 1265, 407, 147, 17, 2], [2, 17, 148, 396, 1320, 1815, 3168, 2376, 2442, 935, 572, 92, 28, 1], [2, 17, 149, 385, 1375, 1650, 3498, 1914, 2904, 605, 737, 37, 39, 0], [2, 18, 135, 473, 1045, 2475, 2046, 3762, 1188, 1760, 187, 213, 5, 3], [2, 18, 136, 462, 1100, 2310, 2376, 3300, 1650, 1430, 352, 158, 16, 2], [2, 18, 137, 451, 1155, 2145, 2706, 2838, 2112, 1100, 517, 103, 27, 1], [2, 18, 138, 440, 1210, 1980, 3036, 2376, 2574, 770, 682, 48, 38, 0], [2, 19, 124, 528, 880, 2805, 1584, 4224, 858, 1925, 132, 224, 4, 3], [2, 19, 125, 517, 935, 2640, 1914, 3762, 1320, 1595, 297, 169, 15, 2], [2, 19, 126, 506, 990, 2475, 2244, 3300, 1782, 1265, 462, 114, 26, 1], [2, 19, 127, 495, 1045, 2310, 2574, 2838, 2244, 935, 627, 59, 37, 0], [2, 20, 113, 583, 715, 3135, 1122, 4686, 528, 2090, 77, 235, 3, 3], [2, 20, 114, 572, 770, 2970, 1452, 4224, 990, 1760, 242, 180, 14, 2], [2, 20, 115, 561, 825, 2805, 1782, 3762, 1452, 1430, 407, 125, 25, 1], [2, 20, 116, 550, 880, 2640, 2112, 3300, 1914, 1100, 572, 70, 36, 0], [2, 21, 102, 638, 550, 3465, 660, 5148, 198, 2255, 22, 246, 2, 3], [2, 21, 103, 627, 605, 3300, 990, 4686, 660, 1925, 187, 191, 13, 2], [2, 21, 104, 616, 660, 3135, 1320, 4224, 1122, 1595, 352, 136, 24, 1], [2, 21, 105, 605, 715, 2970, 1650, 3762, 1584, 1265, 517, 81, 35, 0], [2, 22, 92, 682, 440, 3630, 528, 5148, 330, 2090, 132, 202, 12, 2], [2, 22, 93, 671, 495, 3465, 858, 4686, 792, 1760, 297, 147, 23, 1], [2, 22, 94, 660, 550, 3300, 1188, 4224, 1254, 1430, 462, 92, 34, 0], [2, 23, 81, 737, 275, 3960, 66, 5610, 0, 2255, 77, 213, 11, 2], [2, 23, 82, 726, 330, 3795, 396, 5148, 462, 1925, 242, 158, 22, 1], [2, 23, 83, 715, 385, 3630, 726, 4686, 924, 1595, 407, 103, 33, 0], [2, 24, 72, 770, 220, 3960, 264, 5148, 594, 1760, 352, 114, 32, 0], [3, 2, 245, 33, 2200, 363, 4818, 1122, 3003, 880, 473, 157, 10, 3], [3, 2, 246, 22, 2255, 198, 5148, 660, 3465, 550, 638, 102, 21, 2], [3, 2, 247, 11, 2310, 33, 5478, 198, 3927, 220, 803, 47, 32, 1], [3, 3, 234, 88, 2035, 693, 4356, 1584, 2673, 1045, 418, 168, 9, 3], [3, 3, 235, 77, 2090, 528, 4686, 1122, 3135, 715, 583, 113, 20, 2], [3, 3, 236, 66, 2145, 363, 5016, 660, 3597, 385, 748, 58, 31, 1], [3, 3, 237, 55, 2200, 198, 5346, 198, 4059, 55, 913, 3, 42, 0], [3, 4, 223, 143, 1870, 1023, 3894, 2046, 2343, 1210, 363, 179, 8, 3], [3, 4, 224, 132, 1925, 858, 4224, 1584, 2805, 880, 528, 124, 19, 2], [3, 4, 225, 121, 1980, 693, 4554, 1122, 3267, 550, 693, 69, 30, 1], [3, 4, 226, 110, 2035, 528, 4884, 660, 3729, 220, 858, 14, 41, 0], [3, 5, 212, 198, 1705, 1353, 3432, 2508, 2013, 1375, 308, 190, 7, 3], [3, 5, 213, 187, 1760, 1188, 3762, 2046, 2475, 1045, 473, 135, 18, 2], [3, 5, 214, 176, 1815, 1023, 4092, 1584, 2937, 715, 638, 80, 29, 1], [3, 5, 215, 165, 1870, 858, 4422, 1122, 3399, 385, 803, 25, 40, 0], [3, 6, 201, 253, 1540, 1683, 2970, 2970, 1683, 1540, 253, 201, 6, 3], [3, 6, 202, 242, 1595, 1518, 3300, 2508, 2145, 1210, 418, 146, 17, 2], [3, 6, 203, 231, 1650, 1353, 3630, 2046, 2607, 880, 583, 91, 28, 1], [3, 6, 204, 220, 1705, 1188, 3960, 1584, 3069, 550, 748, 36, 39, 0], [3, 7, 190, 308, 1375, 2013, 2508, 3432, 1353, 1705, 198, 212, 5, 3], [3, 7, 191, 297, 1430, 1848, 2838, 2970, 1815, 1375, 363, 157, 16, 2], [3, 7, 192, 286, 1485, 1683, 3168, 2508, 2277, 1045, 528, 102, 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0, 2310, 44, 222, 10, 2], [4, 2, 181, 451, 825, 3201, 858, 4950, 462, 1980, 209, 167, 21, 1], [4, 2, 182, 440, 880, 3036, 1188, 4488, 924, 1650, 374, 112, 32, 0], [4, 3, 170, 506, 660, 3531, 396, 5412, 132, 2145, 154, 178, 20, 1], [4, 3, 171, 495, 715, 3366, 726, 4950, 594, 1815, 319, 123, 31, 0], [4, 4, 160, 550, 550, 3696, 264, 5412, 264, 1980, 264, 134, 30, 0]} (14, 13312, 10) has 651 possible DDs: {[0, 10, 130, 0, 1573, 572, 3003, 3432, 858, 3146, 0, 520, 65, 0, 3], [0, 11, 122, 23, 1562, 462, 3366, 2838, 1452, 2783, 110, 531, 42, 8, 2], [0, 11, 123, 12, 1617, 297, 3696, 2376, 1914, 2453, 275, 476, 53, 7, 2], [0, 11, 124, 1, 1672, 132, 4026, 1914, 2376, 2123, 440, 421, 64, 6, 2], [0, 11, 124, 2, 1661, 187, 3861, 2244, 1914, 2585, 110, 586, 9, 17, 1], [0, 12, 111, 78, 1397, 792, 2904, 3300, 1122, 2948, 55, 542, 41, 8, 2], [0, 12, 112, 67, 1452, 627, 3234, 2838, 1584, 2618, 220, 487, 52, 7, 2], [0, 12, 113, 56, 1507, 462, 3564, 2376, 2046, 2288, 385, 432, 63, 6, 2], [0, 12, 113, 57, 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452, 51, 12, 1], [2, 2, 97, 320, 517, 2508, 924, 4488, 1188, 2178, 737, 232, 117, 0, 2], [2, 2, 97, 321, 506, 2563, 759, 4818, 726, 2640, 407, 397, 62, 11, 1], [2, 2, 97, 322, 495, 2618, 594, 5148, 264, 3102, 77, 562, 7, 22, 0], [2, 2, 98, 310, 561, 2398, 1089, 4356, 1188, 2310, 572, 342, 73, 10, 1], [2, 2, 98, 311, 550, 2453, 924, 4686, 726, 2772, 242, 507, 18, 21, 0], [2, 2, 99, 299, 616, 2233, 1419, 3894, 1650, 1980, 737, 287, 84, 9, 1], [2, 2, 99, 300, 605, 2288, 1254, 4224, 1188, 2442, 407, 452, 29, 20, 0], [2, 2, 100, 288, 671, 2068, 1749, 3432, 2112, 1650, 902, 232, 95, 8, 1], [2, 2, 100, 289, 660, 2123, 1584, 3762, 1650, 2112, 572, 397, 40, 19, 0], [2, 2, 101, 277, 726, 1903, 2079, 2970, 2574, 1320, 1067, 177, 106, 7, 1], [2, 2, 101, 278, 715, 1958, 1914, 3300, 2112, 1782, 737, 342, 51, 18, 0], [2, 2, 102, 266, 781, 1738, 2409, 2508, 3036, 990, 1232, 122, 117, 6, 1], [2, 2, 102, 267, 770, 1793, 2244, 2838, 2574, 1452, 902, 287, 62, 17, 0], [2, 2, 103, 255, 836, 1573, 2739, 2046, 3498, 660, 1397, 67, 128, 5, 1], [2, 2, 103, 256, 825, 1628, 2574, 2376, 3036, 1122, 1067, 232, 73, 16, 0], [2, 2, 104, 244, 891, 1408, 3069, 1584, 3960, 330, 1562, 12, 139, 4, 1], [2, 2, 104, 245, 880, 1463, 2904, 1914, 3498, 792, 1232, 177, 84, 15, 0], [2, 2, 105, 234, 935, 1298, 3234, 1452, 3960, 462, 1397, 122, 95, 14, 0], [2, 2, 106, 223, 990, 1133, 3564, 990, 4422, 132, 1562, 67, 106, 13, 0], [2, 3, 85, 386, 297, 3003, 132, 5412, 396, 2673, 517, 298, 105, 1, 2], [2, 3, 86, 375, 352, 2838, 462, 4950, 858, 2343, 682, 243, 116, 0, 2], [2, 3, 86, 376, 341, 2893, 297, 5280, 396, 2805, 352, 408, 61, 11, 1], [2, 3, 87, 365, 396, 2728, 627, 4818, 858, 2475, 517, 353, 72, 10, 1], [2, 3, 87, 366, 385, 2783, 462, 5148, 396, 2937, 187, 518, 17, 21, 0], [2, 3, 88, 354, 451, 2563, 957, 4356, 1320, 2145, 682, 298, 83, 9, 1], [2, 3, 88, 355, 440, 2618, 792, 4686, 858, 2607, 352, 463, 28, 20, 0], [2, 3, 89, 343, 506, 2398, 1287, 3894, 1782, 1815, 847, 243, 94, 8, 1], [2, 3, 89, 344, 495, 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77, 409, 286, 2893, 495, 4818, 990, 2310, 627, 309, 82, 9, 1], [2, 4, 77, 410, 275, 2948, 330, 5148, 528, 2772, 297, 474, 27, 20, 0], [2, 4, 78, 398, 341, 2728, 825, 4356, 1452, 1980, 792, 254, 93, 8, 1], [2, 4, 78, 399, 330, 2783, 660, 4686, 990, 2442, 462, 419, 38, 19, 0], [2, 4, 79, 387, 396, 2563, 1155, 3894, 1914, 1650, 957, 199, 104, 7, 1], [2, 4, 79, 388, 385, 2618, 990, 4224, 1452, 2112, 627, 364, 49, 18, 0], [2, 4, 80, 376, 451, 2398, 1485, 3432, 2376, 1320, 1122, 144, 115, 6, 1], [2, 4, 80, 377, 440, 2453, 1320, 3762, 1914, 1782, 792, 309, 60, 17, 0], [2, 4, 81, 365, 506, 2233, 1815, 2970, 2838, 990, 1287, 89, 126, 5, 1], [2, 4, 81, 366, 495, 2288, 1650, 3300, 2376, 1452, 957, 254, 71, 16, 0], [2, 4, 82, 354, 561, 2068, 2145, 2508, 3300, 660, 1452, 34, 137, 4, 1], [2, 4, 82, 355, 550, 2123, 1980, 2838, 2838, 1122, 1122, 199, 82, 15, 0], [2, 4, 83, 344, 605, 1958, 2310, 2376, 3300, 792, 1287, 144, 93, 14, 0], [2, 4, 84, 333, 660, 1793, 2640, 1914, 3762, 462, 1452, 89, 104, 13, 0], [2, 4, 85, 322, 715, 1628, 2970, 1452, 4224, 132, 1617, 34, 115, 12, 0], [2, 5, 66, 464, 121, 3223, 33, 5280, 660, 2475, 572, 320, 81, 9, 1], [2, 5, 67, 453, 176, 3058, 363, 4818, 1122, 2145, 737, 265, 92, 8, 1], [2, 5, 67, 454, 165, 3113, 198, 5148, 660, 2607, 407, 430, 37, 19, 0], [2, 5, 68, 442, 231, 2893, 693, 4356, 1584, 1815, 902, 210, 103, 7, 1], [2, 5, 68, 443, 220, 2948, 528, 4686, 1122, 2277, 572, 375, 48, 18, 0], [2, 5, 69, 431, 286, 2728, 1023, 3894, 2046, 1485, 1067, 155, 114, 6, 1], [2, 5, 69, 432, 275, 2783, 858, 4224, 1584, 1947, 737, 320, 59, 17, 0], [2, 5, 70, 420, 341, 2563, 1353, 3432, 2508, 1155, 1232, 100, 125, 5, 1], [2, 5, 70, 421, 330, 2618, 1188, 3762, 2046, 1617, 902, 265, 70, 16, 0], [2, 5, 71, 409, 396, 2398, 1683, 2970, 2970, 825, 1397, 45, 136, 4, 1], [2, 5, 71, 410, 385, 2453, 1518, 3300, 2508, 1287, 1067, 210, 81, 15, 0], [2, 5, 72, 399, 440, 2288, 1848, 2838, 2970, 957, 1232, 155, 92, 14, 0], [2, 5, 73, 388, 495, 2123, 2178, 2376, 3432, 627, 1397, 100, 103, 13, 0], [2, 5, 74, 377, 550, 1958, 2508, 1914, 3894, 297, 1562, 45, 114, 12, 0], [2, 6, 57, 497, 66, 3223, 231, 4818, 1254, 1980, 847, 221, 102, 7, 1], [2, 6, 57, 498, 55, 3278, 66, 5148, 792, 2442, 517, 386, 47, 18, 0], [2, 6, 58, 486, 121, 3058, 561, 4356, 1716, 1650, 1012, 166, 113, 6, 1], [2, 6, 58, 487, 110, 3113, 396, 4686, 1254, 2112, 682, 331, 58, 17, 0], [2, 6, 59, 475, 176, 2893, 891, 3894, 2178, 1320, 1177, 111, 124, 5, 1], [2, 6, 59, 476, 165, 2948, 726, 4224, 1716, 1782, 847, 276, 69, 16, 0], [2, 6, 60, 464, 231, 2728, 1221, 3432, 2640, 990, 1342, 56, 135, 4, 1], [2, 6, 60, 465, 220, 2783, 1056, 3762, 2178, 1452, 1012, 221, 80, 15, 0], [2, 6, 61, 453, 286, 2563, 1551, 2970, 3102, 660, 1507, 1, 146, 3, 1], [2, 6, 61, 454, 275, 2618, 1386, 3300, 2640, 1122, 1177, 166, 91, 14, 0], [2, 6, 62, 443, 330, 2453, 1716, 2838, 3102, 792, 1342, 111, 102, 13, 0], [2, 6, 63, 432, 385, 2288, 2046, 2376, 3564, 462, 1507, 56, 113, 12, 0], [2, 6, 64, 421, 440, 2123, 2376, 1914, 4026, 132, 1672, 1, 124, 11, 0], [2, 7, 48, 530, 11, 3223, 429, 4356, 1848, 1485, 1122, 122, 123, 5, 1], [2, 7, 48, 531, 0, 3278, 264, 4686, 1386, 1947, 792, 287, 68, 16, 0], [2, 7, 49, 519, 66, 3058, 759, 3894, 2310, 1155, 1287, 67, 134, 4, 1], [2, 7, 49, 520, 55, 3113, 594, 4224, 1848, 1617, 957, 232, 79, 15, 0], [2, 7, 50, 508, 121, 2893, 1089, 3432, 2772, 825, 1452, 12, 145, 3, 1], [2, 7, 50, 509, 110, 2948, 924, 3762, 2310, 1287, 1122, 177, 90, 14, 0], [2, 7, 51, 498, 165, 2783, 1254, 3300, 2772, 957, 1287, 122, 101, 13, 0], [2, 7, 52, 487, 220, 2618, 1584, 2838, 3234, 627, 1452, 67, 112, 12, 0], [2, 7, 53, 476, 275, 2453, 1914, 2376, 3696, 297, 1617, 12, 123, 11, 0], [2, 8, 40, 553, 0, 3113, 792, 3762, 2442, 1122, 1232, 133, 100, 13, 0], [2, 8, 41, 542, 55, 2948, 1122, 3300, 2904, 792, 1397, 78, 111, 12, 0], [2, 8, 42, 531, 110, 2783, 1452, 2838, 3366, 462, 1562, 23, 122, 11, 0], [3, 0, 65, 520, 0, 3146, 858, 3432, 3003, 572, 1573, 0, 130, 10, 0]} (15, 13312, 10) has 1970 possible DDs: {[0, 2, 91, 26, 687, 1738, 176, 5478, 198, 2926, 1507, 62, 411, 6, 2, 2], [0, 2, 92, 15, 742, 1573, 506, 5016, 660, 2596, 1672, 7, 422, 5, 2, 2], [0, 2, 92, 16, 731, 1628, 341, 5346, 198, 3058, 1342, 172, 367, 16, 1, 2], [0, 2, 93, 5, 786, 1463, 671, 4884, 660, 2728, 1507, 117, 378, 15, 1, 2], [0, 2, 93, 6, 775, 1518, 506, 5214, 198, 3190, 1177, 282, 323, 26, 0, 2], [0, 3, 81, 70, 577, 1903, 44, 5478, 330, 2761, 1617, 18, 421, 5, 2, 2], [0, 3, 82, 60, 621, 1793, 209, 5346, 330, 2893, 1452, 128, 377, 15, 1, 2], [0, 3, 83, 49, 676, 1628, 539, 4884, 792, 2563, 1617, 73, 388, 14, 1, 2], [0, 3, 83, 50, 665, 1683, 374, 5214, 330, 3025, 1287, 238, 333, 25, 0, 2], [0, 3, 84, 38, 731, 1463, 869, 4422, 1254, 2233, 1782, 18, 399, 13, 1, 2], [0, 3, 84, 39, 720, 1518, 704, 4752, 792, 2695, 1452, 183, 344, 24, 0, 2], [0, 3, 85, 28, 775, 1353, 1034, 4290, 1254, 2365, 1617, 128, 355, 23, 0, 2], [0, 3, 85, 31, 743, 1507, 594, 5115, 198, 3289, 1089, 293, 355, 1, 8, 1], [0, 3, 86, 17, 830, 1188, 1364, 3828, 1716, 2035, 1782, 73, 366, 22, 0, 2], [0, 3, 86, 20, 798, 1342, 924, 4653, 660, 2959, 1254, 238, 366, 0, 8, 1], [0, 3, 86, 21, 787, 1397, 759, 4983, 198, 3421, 924, 403, 311, 11, 7, 1], [0, 3, 87, 6, 885, 1023, 1694, 3366, 2178, 1705, 1947, 18, 377, 21, 0, 2], [0, 3, 87, 10, 842, 1232, 1089, 4521, 660, 3091, 1089, 348, 322, 10, 7, 1], [0, 3, 87, 11, 831, 1287, 924, 4851, 198, 3553, 759, 513, 267, 21, 6, 1], [0, 3, 88, 0, 886, 1122, 1254, 4389, 660, 3223, 924, 458, 278, 20, 6, 1], [0, 3, 88, 1, 875, 1177, 1089, 4719, 198, 3685, 594, 623, 223, 31, 5, 1], [0, 4, 72, 104, 511, 1958, 77, 5346, 462, 2728, 1562, 84, 387, 14, 1, 2], [0, 4, 73, 93, 566, 1793, 407, 4884, 924, 2398, 1727, 29, 398, 13, 1, 2], [0, 4, 73, 94, 555, 1848, 242, 5214, 462, 2860, 1397, 194, 343, 24, 0, 2], [0, 4, 74, 83, 610, 1683, 572, 4752, 924, 2530, 1562, 139, 354, 23, 0, 2], [0, 4, 75, 72, 665, 1518, 902, 4290, 1386, 2200, 1727, 84, 365, 22, 0, 2], [0, 4, 75, 75, 633, 1672, 462, 5115, 330, 3124, 1199, 249, 365, 0, 8, 1], [0, 4, 76, 61, 720, 1353, 1232, 3828, 1848, 1870, 1892, 29, 376, 21, 0, 2], [0, 4, 76, 65, 677, 1562, 627, 4983, 330, 3256, 1034, 359, 321, 10, 7, 1], [0, 4, 77, 54, 732, 1397, 957, 4521, 792, 2926, 1199, 304, 332, 9, 7, 1], [0, 4, 77, 55, 721, 1452, 792, 4851, 330, 3388, 869, 469, 277, 20, 6, 1], [0, 4, 78, 43, 787, 1232, 1287, 4059, 1254, 2596, 1364, 249, 343, 8, 7, 1], [0, 4, 78, 44, 776, 1287, 1122, 4389, 792, 3058, 1034, 414, 288, 19, 6, 1], [0, 4, 78, 45, 765, 1342, 957, 4719, 330, 3520, 704, 579, 233, 30, 5, 1], [0, 4, 79, 32, 842, 1067, 1617, 3597, 1716, 2266, 1529, 194, 354, 7, 7, 1], [0, 4, 79, 33, 831, 1122, 1452, 3927, 1254, 2728, 1199, 359, 299, 18, 6, 1], [0, 4, 79, 34, 820, 1177, 1287, 4257, 792, 3190, 869, 524, 244, 29, 5, 1], [0, 4, 79, 35, 809, 1232, 1122, 4587, 330, 3652, 539, 689, 189, 40, 4, 1], [0, 4, 80, 21, 897, 902, 1947, 3135, 2178, 1936, 1694, 139, 365, 6, 7, 1], [0, 4, 80, 22, 886, 957, 1782, 3465, 1716, 2398, 1364, 304, 310, 17, 6, 1], [0, 4, 80, 23, 875, 1012, 1617, 3795, 1254, 2860, 1034, 469, 255, 28, 5, 1], [0, 4, 80, 24, 864, 1067, 1452, 4125, 792, 3322, 704, 634, 200, 39, 4, 1], [0, 4, 80, 25, 853, 1122, 1287, 4455, 330, 3784, 374, 799, 145, 50, 3, 1], [0, 4, 80, 26, 843, 1166, 1177, 4620, 198, 3784, 506, 634, 255, 6, 13, 0], [0, 4, 81, 10, 952, 737, 2277, 2673, 2640, 1606, 1859, 84, 376, 5, 7, 1], [0, 4, 81, 11, 941, 792, 2112, 3003, 2178, 2068, 1529, 249, 321, 16, 6, 1], [0, 4, 81, 12, 930, 847, 1947, 3333, 1716, 2530, 1199, 414, 266, 27, 5, 1], [0, 4, 81, 13, 919, 902, 1782, 3663, 1254, 2992, 869, 579, 211, 38, 4, 1], [0, 4, 81, 14, 908, 957, 1617, 3993, 792, 3454, 539, 744, 156, 49, 3, 1], [0, 4, 81, 15, 897, 1012, 1452, 4323, 330, 3916, 209, 909, 101, 60, 2, 1], [0, 4, 81, 15, 898, 1001, 1507, 4158, 660, 3454, 671, 579, 266, 5, 13, 0], [0, 4, 81, 16, 887, 1056, 1342, 4488, 198, 3916, 341, 744, 211, 16, 12, 0], [0, 4, 82, 0, 996, 627, 2442, 2541, 2640, 1738, 1694, 194, 332, 15, 6, 1], [0, 4, 82, 1, 985, 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