------- (15, 15360, 10) ALL distance distributions for INTERNAL point (10, 15360, 10) has 1 possible DDs: {[15, 150, 675, 1800, 3150, 3780, 3150, 1800, 675, 150, 15]} (11, 15360, 10) has 15 possible DDs: {[1, 154, 55, 2310, 330, 6468, 462, 4620, 165, 770, 11, 14], [2, 143, 110, 2145, 660, 6006, 924, 4290, 330, 715, 22, 13], [3, 132, 165, 1980, 990, 5544, 1386, 3960, 495, 660, 33, 12], [4, 121, 220, 1815, 1320, 5082, 1848, 3630, 660, 605, 44, 11], [5, 110, 275, 1650, 1650, 4620, 2310, 3300, 825, 550, 55, 10], [6, 99, 330, 1485, 1980, 4158, 2772, 2970, 990, 495, 66, 9], [7, 88, 385, 1320, 2310, 3696, 3234, 2640, 1155, 440, 77, 8], [8, 77, 440, 1155, 2640, 3234, 3696, 2310, 1320, 385, 88, 7], [9, 66, 495, 990, 2970, 2772, 4158, 1980, 1485, 330, 99, 6], [10, 55, 550, 825, 3300, 2310, 4620, 1650, 1650, 275, 110, 5], [11, 44, 605, 660, 3630, 1848, 5082, 1320, 1815, 220, 121, 4], [12, 33, 660, 495, 3960, 1386, 5544, 990, 1980, 165, 132, 3], [13, 22, 715, 330, 4290, 924, 6006, 660, 2145, 110, 143, 2], [14, 11, 770, 165, 4620, 462, 6468, 330, 2310, 55, 154, 1], [15, 0, 825, 0, 4950, 0, 6930, 0, 2475, 0, 165, 0]} (12, 15360, 10) has 61 possible DDs: {[1, 71, 143, 1045, 1650, 2838, 4158, 1914, 2805, 275, 451, 1, 8], [1, 72, 132, 1100, 1485, 3168, 3696, 2376, 2475, 440, 396, 12, 7], [1, 73, 121, 1155, 1320, 3498, 3234, 2838, 2145, 605, 341, 23, 6], [1, 74, 110, 1210, 1155, 3828, 2772, 3300, 1815, 770, 286, 34, 5], [1, 75, 99, 1265, 990, 4158, 2310, 3762, 1485, 935, 231, 45, 4], [1, 76, 88, 1320, 825, 4488, 1848, 4224, 1155, 1100, 176, 56, 3], [1, 77, 77, 1375, 660, 4818, 1386, 4686, 825, 1265, 121, 67, 2], [1, 78, 66, 1430, 495, 5148, 924, 5148, 495, 1430, 66, 78, 1], [1, 79, 55, 1485, 330, 5478, 462, 5610, 165, 1595, 11, 89, 0], [2, 60, 198, 880, 1980, 2376, 4620, 1584, 2970, 220, 462, 0, 8], [2, 61, 187, 935, 1815, 2706, 4158, 2046, 2640, 385, 407, 11, 7], [2, 62, 176, 990, 1650, 3036, 3696, 2508, 2310, 550, 352, 22, 6], [2, 63, 165, 1045, 1485, 3366, 3234, 2970, 1980, 715, 297, 33, 5], [2, 64, 154, 1100, 1320, 3696, 2772, 3432, 1650, 880, 242, 44, 4], [2, 65, 143, 1155, 1155, 4026, 2310, 3894, 1320, 1045, 187, 55, 3], [2, 66, 132, 1210, 990, 4356, 1848, 4356, 990, 1210, 132, 66, 2], [2, 67, 121, 1265, 825, 4686, 1386, 4818, 660, 1375, 77, 77, 1], [2, 68, 110, 1320, 660, 5016, 924, 5280, 330, 1540, 22, 88, 0], [3, 50, 242, 770, 2145, 2244, 4620, 1716, 2805, 330, 418, 10, 7], [3, 51, 231, 825, 1980, 2574, 4158, 2178, 2475, 495, 363, 21, 6], [3, 52, 220, 880, 1815, 2904, 3696, 2640, 2145, 660, 308, 32, 5], [3, 53, 209, 935, 1650, 3234, 3234, 3102, 1815, 825, 253, 43, 4], [3, 54, 198, 990, 1485, 3564, 2772, 3564, 1485, 990, 198, 54, 3], [3, 55, 187, 1045, 1320, 3894, 2310, 4026, 1155, 1155, 143, 65, 2], [3, 56, 176, 1100, 1155, 4224, 1848, 4488, 825, 1320, 88, 76, 1], [3, 57, 165, 1155, 990, 4554, 1386, 4950, 495, 1485, 33, 87, 0], [4, 39, 297, 605, 2475, 1782, 5082, 1386, 2970, 275, 429, 9, 7], [4, 40, 286, 660, 2310, 2112, 4620, 1848, 2640, 440, 374, 20, 6], [4, 41, 275, 715, 2145, 2442, 4158, 2310, 2310, 605, 319, 31, 5], [4, 42, 264, 770, 1980, 2772, 3696, 2772, 1980, 770, 264, 42, 4], [4, 43, 253, 825, 1815, 3102, 3234, 3234, 1650, 935, 209, 53, 3], [4, 44, 242, 880, 1650, 3432, 2772, 3696, 1320, 1100, 154, 64, 2], [4, 45, 231, 935, 1485, 3762, 2310, 4158, 990, 1265, 99, 75, 1], [4, 46, 220, 990, 1320, 4092, 1848, 4620, 660, 1430, 44, 86, 0], [5, 28, 352, 440, 2805, 1320, 5544, 1056, 3135, 220, 440, 8, 7], [5, 29, 341, 495, 2640, 1650, 5082, 1518, 2805, 385, 385, 19, 6], [5, 30, 330, 550, 2475, 1980, 4620, 1980, 2475, 550, 330, 30, 5], [5, 31, 319, 605, 2310, 2310, 4158, 2442, 2145, 715, 275, 41, 4], [5, 32, 308, 660, 2145, 2640, 3696, 2904, 1815, 880, 220, 52, 3], [5, 33, 297, 715, 1980, 2970, 3234, 3366, 1485, 1045, 165, 63, 2], [5, 34, 286, 770, 1815, 3300, 2772, 3828, 1155, 1210, 110, 74, 1], [5, 35, 275, 825, 1650, 3630, 2310, 4290, 825, 1375, 55, 85, 0], [6, 17, 407, 275, 3135, 858, 6006, 726, 3300, 165, 451, 7, 7], [6, 18, 396, 330, 2970, 1188, 5544, 1188, 2970, 330, 396, 18, 6], [6, 19, 385, 385, 2805, 1518, 5082, 1650, 2640, 495, 341, 29, 5], [6, 20, 374, 440, 2640, 1848, 4620, 2112, 2310, 660, 286, 40, 4], [6, 21, 363, 495, 2475, 2178, 4158, 2574, 1980, 825, 231, 51, 3], [6, 22, 352, 550, 2310, 2508, 3696, 3036, 1650, 990, 176, 62, 2], [6, 23, 341, 605, 2145, 2838, 3234, 3498, 1320, 1155, 121, 73, 1], [6, 24, 330, 660, 1980, 3168, 2772, 3960, 990, 1320, 66, 84, 0], [7, 6, 462, 110, 3465, 396, 6468, 396, 3465, 110, 462, 6, 7], [7, 7, 451, 165, 3300, 726, 6006, 858, 3135, 275, 407, 17, 6], [7, 8, 440, 220, 3135, 1056, 5544, 1320, 2805, 440, 352, 28, 5], [7, 9, 429, 275, 2970, 1386, 5082, 1782, 2475, 605, 297, 39, 4], [7, 10, 418, 330, 2805, 1716, 4620, 2244, 2145, 770, 242, 50, 3], [7, 11, 407, 385, 2640, 2046, 4158, 2706, 1815, 935, 187, 61, 2], [7, 12, 396, 440, 2475, 2376, 3696, 3168, 1485, 1100, 132, 72, 1], [7, 13, 385, 495, 2310, 2706, 3234, 3630, 1155, 1265, 77, 83, 0], [8, 0, 462, 220, 2970, 1584, 4620, 2376, 1980, 880, 198, 60, 2], [8, 1, 451, 275, 2805, 1914, 4158, 2838, 1650, 1045, 143, 71, 1], [8, 2, 440, 330, 2640, 2244, 3696, 3300, 1320, 1210, 88, 82, 0]} (13, 15360, 10) has 237 possible DDs: {[1, 24, 205, 165, 2530, 33, 6402, 330, 4125, 770, 561, 209, 0, 5], [1, 25, 195, 209, 2420, 198, 6270, 330, 4257, 605, 671, 165, 10, 4], [1, 26, 184, 264, 2255, 528, 5808, 792, 3927, 770, 616, 176, 9, 4], [1, 26, 185, 253, 2310, 363, 6138, 330, 4389, 440, 781, 121, 20, 3], [1, 27, 173, 319, 2090, 858, 5346, 1254, 3597, 935, 561, 187, 8, 4], [1, 27, 174, 308, 2145, 693, 5676, 792, 4059, 605, 726, 132, 19, 3], [1, 27, 175, 297, 2200, 528, 6006, 330, 4521, 275, 891, 77, 30, 2], [1, 28, 162, 374, 1925, 1188, 4884, 1716, 3267, 1100, 506, 198, 7, 4], [1, 28, 163, 363, 1980, 1023, 5214, 1254, 3729, 770, 671, 143, 18, 3], [1, 28, 164, 352, 2035, 858, 5544, 792, 4191, 440, 836, 88, 29, 2], [1, 28, 165, 341, 2090, 693, 5874, 330, 4653, 110, 1001, 33, 40, 1], [1, 29, 151, 429, 1760, 1518, 4422, 2178, 2937, 1265, 451, 209, 6, 4], [1, 29, 152, 418, 1815, 1353, 4752, 1716, 3399, 935, 616, 154, 17, 3], [1, 29, 153, 407, 1870, 1188, 5082, 1254, 3861, 605, 781, 99, 28, 2], [1, 29, 154, 396, 1925, 1023, 5412, 792, 4323, 275, 946, 44, 39, 1], [1, 30, 140, 484, 1595, 1848, 3960, 2640, 2607, 1430, 396, 220, 5, 4], [1, 30, 141, 473, 1650, 1683, 4290, 2178, 3069, 1100, 561, 165, 16, 3], [1, 30, 142, 462, 1705, 1518, 4620, 1716, 3531, 770, 726, 110, 27, 2], [1, 30, 143, 451, 1760, 1353, 4950, 1254, 3993, 440, 891, 55, 38, 1], [1, 30, 144, 440, 1815, 1188, 5280, 792, 4455, 110, 1056, 0, 49, 0], [1, 31, 129, 539, 1430, 2178, 3498, 3102, 2277, 1595, 341, 231, 4, 4], [1, 31, 130, 528, 1485, 2013, 3828, 2640, 2739, 1265, 506, 176, 15, 3], [1, 31, 131, 517, 1540, 1848, 4158, 2178, 3201, 935, 671, 121, 26, 2], [1, 31, 132, 506, 1595, 1683, 4488, 1716, 3663, 605, 836, 66, 37, 1], [1, 31, 133, 495, 1650, 1518, 4818, 1254, 4125, 275, 1001, 11, 48, 0], [1, 32, 118, 594, 1265, 2508, 3036, 3564, 1947, 1760, 286, 242, 3, 4], [1, 32, 119, 583, 1320, 2343, 3366, 3102, 2409, 1430, 451, 187, 14, 3], [1, 32, 120, 572, 1375, 2178, 3696, 2640, 2871, 1100, 616, 132, 25, 2], [1, 32, 121, 561, 1430, 2013, 4026, 2178, 3333, 770, 781, 77, 36, 1], [1, 32, 122, 550, 1485, 1848, 4356, 1716, 3795, 440, 946, 22, 47, 0], [1, 33, 107, 649, 1100, 2838, 2574, 4026, 1617, 1925, 231, 253, 2, 4], [1, 33, 108, 638, 1155, 2673, 2904, 3564, 2079, 1595, 396, 198, 13, 3], [1, 33, 109, 627, 1210, 2508, 3234, 3102, 2541, 1265, 561, 143, 24, 2], [1, 33, 110, 616, 1265, 2343, 3564, 2640, 3003, 935, 726, 88, 35, 1], [1, 33, 111, 605, 1320, 2178, 3894, 2178, 3465, 605, 891, 33, 46, 0], [1, 34, 96, 704, 935, 3168, 2112, 4488, 1287, 2090, 176, 264, 1, 4], [1, 34, 97, 693, 990, 3003, 2442, 4026, 1749, 1760, 341, 209, 12, 3], [1, 34, 98, 682, 1045, 2838, 2772, 3564, 2211, 1430, 506, 154, 23, 2], [1, 34, 99, 671, 1100, 2673, 3102, 3102, 2673, 1100, 671, 99, 34, 1], [1, 34, 100, 660, 1155, 2508, 3432, 2640, 3135, 770, 836, 44, 45, 0], [1, 35, 85, 759, 770, 3498, 1650, 4950, 957, 2255, 121, 275, 0, 4], [1, 35, 86, 748, 825, 3333, 1980, 4488, 1419, 1925, 286, 220, 11, 3], [1, 35, 87, 737, 880, 3168, 2310, 4026, 1881, 1595, 451, 165, 22, 2], [1, 35, 88, 726, 935, 3003, 2640, 3564, 2343, 1265, 616, 110, 33, 1], [1, 35, 89, 715, 990, 2838, 2970, 3102, 2805, 935, 781, 55, 44, 0], [1, 36, 75, 803, 660, 3663, 1518, 4950, 1089, 2090, 231, 231, 10, 3], [1, 36, 76, 792, 715, 3498, 1848, 4488, 1551, 1760, 396, 176, 21, 2], [1, 36, 77, 781, 770, 3333, 2178, 4026, 2013, 1430, 561, 121, 32, 1], [1, 36, 78, 770, 825, 3168, 2508, 3564, 2475, 1100, 726, 66, 43, 0], [1, 37, 64, 858, 495, 3993, 1056, 5412, 759, 2255, 176, 242, 9, 3], [1, 37, 65, 847, 550, 3828, 1386, 4950, 1221, 1925, 341, 187, 20, 2], [1, 37, 66, 836, 605, 3663, 1716, 4488, 1683, 1595, 506, 132, 31, 1], [1, 37, 67, 825, 660, 3498, 2046, 4026, 2145, 1265, 671, 77, 42, 0], [1, 38, 53, 913, 330, 4323, 594, 5874, 429, 2420, 121, 253, 8, 3], [1, 38, 54, 902, 385, 4158, 924, 5412, 891, 2090, 286, 198, 19, 2], [1, 38, 55, 891, 440, 3993, 1254, 4950, 1353, 1760, 451, 143, 30, 1], [1, 38, 56, 880, 495, 3828, 1584, 4488, 1815, 1430, 616, 88, 41, 0], [1, 39, 42, 968, 165, 4653, 132, 6336, 99, 2585, 66, 264, 7, 3], [1, 39, 43, 957, 220, 4488, 462, 5874, 561, 2255, 231, 209, 18, 2], [1, 39, 44, 946, 275, 4323, 792, 5412, 1023, 1925, 396, 154, 29, 1], [1, 39, 45, 935, 330, 4158, 1122, 4950, 1485, 1595, 561, 99, 40, 0], [1, 40, 32, 1012, 55, 4818, 0, 6336, 231, 2420, 176, 220, 17, 2], [1, 40, 33, 1001, 110, 4653, 330, 5874, 693, 2090, 341, 165, 28, 1], [1, 40, 34, 990, 165, 4488, 660, 5412, 1155, 1760, 506, 110, 39, 0], [1, 41, 23, 1045, 0, 4818, 198, 5874, 825, 1925, 451, 121, 38, 0], [2, 15, 239, 99, 2585, 66, 6270, 462, 4092, 715, 627, 175, 9, 4], [2, 16, 228, 154, 2420, 396, 5808, 924, 3762, 880, 572, 186, 8, 4], [2, 16, 229, 143, 2475, 231, 6138, 462, 4224, 550, 737, 131, 19, 3], [2, 16, 230, 132, 2530, 66, 6468, 0, 4686, 220, 902, 76, 30, 2], [2, 17, 217, 209, 2255, 726, 5346, 1386, 3432, 1045, 517, 197, 7, 4], [2, 17, 218, 198, 2310, 561, 5676, 924, 3894, 715, 682, 142, 18, 3], [2, 17, 219, 187, 2365, 396, 6006, 462, 4356, 385, 847, 87, 29, 2], [2, 17, 220, 176, 2420, 231, 6336, 0, 4818, 55, 1012, 32, 40, 1], [2, 18, 206, 264, 2090, 1056, 4884, 1848, 3102, 1210, 462, 208, 6, 4], [2, 18, 207, 253, 2145, 891, 5214, 1386, 3564, 880, 627, 153, 17, 3], [2, 18, 208, 242, 2200, 726, 5544, 924, 4026, 550, 792, 98, 28, 2], [2, 18, 209, 231, 2255, 561, 5874, 462, 4488, 220, 957, 43, 39, 1], [2, 19, 195, 319, 1925, 1386, 4422, 2310, 2772, 1375, 407, 219, 5, 4], [2, 19, 196, 308, 1980, 1221, 4752, 1848, 3234, 1045, 572, 164, 16, 3], [2, 19, 197, 297, 2035, 1056, 5082, 1386, 3696, 715, 737, 109, 27, 2], [2, 19, 198, 286, 2090, 891, 5412, 924, 4158, 385, 902, 54, 38, 1], [2, 20, 184, 374, 1760, 1716, 3960, 2772, 2442, 1540, 352, 230, 4, 4], [2, 20, 185, 363, 1815, 1551, 4290, 2310, 2904, 1210, 517, 175, 15, 3], [2, 20, 186, 352, 1870, 1386, 4620, 1848, 3366, 880, 682, 120, 26, 2], [2, 20, 187, 341, 1925, 1221, 4950, 1386, 3828, 550, 847, 65, 37, 1], [2, 20, 188, 330, 1980, 1056, 5280, 924, 4290, 220, 1012, 10, 48, 0], [2, 21, 173, 429, 1595, 2046, 3498, 3234, 2112, 1705, 297, 241, 3, 4], [2, 21, 174, 418, 1650, 1881, 3828, 2772, 2574, 1375, 462, 186, 14, 3], [2, 21, 175, 407, 1705, 1716, 4158, 2310, 3036, 1045, 627, 131, 25, 2], [2, 21, 176, 396, 1760, 1551, 4488, 1848, 3498, 715, 792, 76, 36, 1], [2, 21, 177, 385, 1815, 1386, 4818, 1386, 3960, 385, 957, 21, 47, 0], [2, 22, 162, 484, 1430, 2376, 3036, 3696, 1782, 1870, 242, 252, 2, 4], [2, 22, 163, 473, 1485, 2211, 3366, 3234, 2244, 1540, 407, 197, 13, 3], [2, 22, 164, 462, 1540, 2046, 3696, 2772, 2706, 1210, 572, 142, 24, 2], [2, 22, 165, 451, 1595, 1881, 4026, 2310, 3168, 880, 737, 87, 35, 1], [2, 22, 166, 440, 1650, 1716, 4356, 1848, 3630, 550, 902, 32, 46, 0], [2, 23, 151, 539, 1265, 2706, 2574, 4158, 1452, 2035, 187, 263, 1, 4], [2, 23, 152, 528, 1320, 2541, 2904, 3696, 1914, 1705, 352, 208, 12, 3], [2, 23, 153, 517, 1375, 2376, 3234, 3234, 2376, 1375, 517, 153, 23, 2], [2, 23, 154, 506, 1430, 2211, 3564, 2772, 2838, 1045, 682, 98, 34, 1], [2, 23, 155, 495, 1485, 2046, 3894, 2310, 3300, 715, 847, 43, 45, 0], [2, 24, 140, 594, 1100, 3036, 2112, 4620, 1122, 2200, 132, 274, 0, 4], [2, 24, 141, 583, 1155, 2871, 2442, 4158, 1584, 1870, 297, 219, 11, 3], [2, 24, 142, 572, 1210, 2706, 2772, 3696, 2046, 1540, 462, 164, 22, 2], [2, 24, 143, 561, 1265, 2541, 3102, 3234, 2508, 1210, 627, 109, 33, 1], [2, 24, 144, 550, 1320, 2376, 3432, 2772, 2970, 880, 792, 54, 44, 0], [2, 25, 130, 638, 990, 3201, 1980, 4620, 1254, 2035, 242, 230, 10, 3], [2, 25, 131, 627, 1045, 3036, 2310, 4158, 1716, 1705, 407, 175, 21, 2], [2, 25, 132, 616, 1100, 2871, 2640, 3696, 2178, 1375, 572, 120, 32, 1], [2, 25, 133, 605, 1155, 2706, 2970, 3234, 2640, 1045, 737, 65, 43, 0], [2, 26, 119, 693, 825, 3531, 1518, 5082, 924, 2200, 187, 241, 9, 3], [2, 26, 120, 682, 880, 3366, 1848, 4620, 1386, 1870, 352, 186, 20, 2], [2, 26, 121, 671, 935, 3201, 2178, 4158, 1848, 1540, 517, 131, 31, 1], [2, 26, 122, 660, 990, 3036, 2508, 3696, 2310, 1210, 682, 76, 42, 0], [2, 27, 108, 748, 660, 3861, 1056, 5544, 594, 2365, 132, 252, 8, 3], [2, 27, 109, 737, 715, 3696, 1386, 5082, 1056, 2035, 297, 197, 19, 2], [2, 27, 110, 726, 770, 3531, 1716, 4620, 1518, 1705, 462, 142, 30, 1], [2, 27, 111, 715, 825, 3366, 2046, 4158, 1980, 1375, 627, 87, 41, 0], [2, 28, 97, 803, 495, 4191, 594, 6006, 264, 2530, 77, 263, 7, 3], [2, 28, 98, 792, 550, 4026, 924, 5544, 726, 2200, 242, 208, 18, 2], [2, 28, 99, 781, 605, 3861, 1254, 5082, 1188, 1870, 407, 153, 29, 1], [2, 28, 100, 770, 660, 3696, 1584, 4620, 1650, 1540, 572, 98, 40, 0], [2, 29, 87, 847, 385, 4356, 462, 6006, 396, 2365, 187, 219, 17, 2], [2, 29, 88, 836, 440, 4191, 792, 5544, 858, 2035, 352, 164, 28, 1], [2, 29, 89, 825, 495, 4026, 1122, 5082, 1320, 1705, 517, 109, 39, 0], [2, 30, 76, 902, 220, 4686, 0, 6468, 66, 2530, 132, 230, 16, 2], [2, 30, 77, 891, 275, 4521, 330, 6006, 528, 2200, 297, 175, 27, 1], [2, 30, 78, 880, 330, 4356, 660, 5544, 990, 1870, 462, 120, 38, 0], [2, 31, 67, 935, 165, 4686, 198, 6006, 660, 2035, 407, 131, 37, 0], [3, 6, 272, 44, 2585, 264, 5808, 1056, 3597, 990, 528, 196, 7, 4], [3, 6, 273, 33, 2640, 99, 6138, 594, 4059, 660, 693, 141, 18, 3], [3, 7, 261, 99, 2420, 594, 5346, 1518, 3267, 1155, 473, 207, 6, 4], [3, 7, 262, 88, 2475, 429, 5676, 1056, 3729, 825, 638, 152, 17, 3], [3, 7, 263, 77, 2530, 264, 6006, 594, 4191, 495, 803, 97, 28, 2], [3, 7, 264, 66, 2585, 99, 6336, 132, 4653, 165, 968, 42, 39, 1], [3, 8, 250, 154, 2255, 924, 4884, 1980, 2937, 1320, 418, 218, 5, 4], [3, 8, 251, 143, 2310, 759, 5214, 1518, 3399, 990, 583, 163, 16, 3], [3, 8, 252, 132, 2365, 594, 5544, 1056, 3861, 660, 748, 108, 27, 2], [3, 8, 253, 121, 2420, 429, 5874, 594, 4323, 330, 913, 53, 38, 1], [3, 9, 239, 209, 2090, 1254, 4422, 2442, 2607, 1485, 363, 229, 4, 4], [3, 9, 240, 198, 2145, 1089, 4752, 1980, 3069, 1155, 528, 174, 15, 3], [3, 9, 241, 187, 2200, 924, 5082, 1518, 3531, 825, 693, 119, 26, 2], [3, 9, 242, 176, 2255, 759, 5412, 1056, 3993, 495, 858, 64, 37, 1], [3, 9, 243, 165, 2310, 594, 5742, 594, 4455, 165, 1023, 9, 48, 0], [3, 10, 228, 264, 1925, 1584, 3960, 2904, 2277, 1650, 308, 240, 3, 4], [3, 10, 229, 253, 1980, 1419, 4290, 2442, 2739, 1320, 473, 185, 14, 3], [3, 10, 230, 242, 2035, 1254, 4620, 1980, 3201, 990, 638, 130, 25, 2], [3, 10, 231, 231, 2090, 1089, 4950, 1518, 3663, 660, 803, 75, 36, 1], [3, 10, 232, 220, 2145, 924, 5280, 1056, 4125, 330, 968, 20, 47, 0], [3, 11, 217, 319, 1760, 1914, 3498, 3366, 1947, 1815, 253, 251, 2, 4], [3, 11, 218, 308, 1815, 1749, 3828, 2904, 2409, 1485, 418, 196, 13, 3], [3, 11, 219, 297, 1870, 1584, 4158, 2442, 2871, 1155, 583, 141, 24, 2], [3, 11, 220, 286, 1925, 1419, 4488, 1980, 3333, 825, 748, 86, 35, 1], [3, 11, 221, 275, 1980, 1254, 4818, 1518, 3795, 495, 913, 31, 46, 0], [3, 12, 206, 374, 1595, 2244, 3036, 3828, 1617, 1980, 198, 262, 1, 4], [3, 12, 207, 363, 1650, 2079, 3366, 3366, 2079, 1650, 363, 207, 12, 3], [3, 12, 208, 352, 1705, 1914, 3696, 2904, 2541, 1320, 528, 152, 23, 2], [3, 12, 209, 341, 1760, 1749, 4026, 2442, 3003, 990, 693, 97, 34, 1], [3, 12, 210, 330, 1815, 1584, 4356, 1980, 3465, 660, 858, 42, 45, 0], [3, 13, 195, 429, 1430, 2574, 2574, 4290, 1287, 2145, 143, 273, 0, 4], [3, 13, 196, 418, 1485, 2409, 2904, 3828, 1749, 1815, 308, 218, 11, 3], [3, 13, 197, 407, 1540, 2244, 3234, 3366, 2211, 1485, 473, 163, 22, 2], [3, 13, 198, 396, 1595, 2079, 3564, 2904, 2673, 1155, 638, 108, 33, 1], [3, 13, 199, 385, 1650, 1914, 3894, 2442, 3135, 825, 803, 53, 44, 0], [3, 14, 185, 473, 1320, 2739, 2442, 4290, 1419, 1980, 253, 229, 10, 3], [3, 14, 186, 462, 1375, 2574, 2772, 3828, 1881, 1650, 418, 174, 21, 2], [3, 14, 187, 451, 1430, 2409, 3102, 3366, 2343, 1320, 583, 119, 32, 1], [3, 14, 188, 440, 1485, 2244, 3432, 2904, 2805, 990, 748, 64, 43, 0], [3, 15, 174, 528, 1155, 3069, 1980, 4752, 1089, 2145, 198, 240, 9, 3], [3, 15, 175, 517, 1210, 2904, 2310, 4290, 1551, 1815, 363, 185, 20, 2], [3, 15, 176, 506, 1265, 2739, 2640, 3828, 2013, 1485, 528, 130, 31, 1], [3, 15, 177, 495, 1320, 2574, 2970, 3366, 2475, 1155, 693, 75, 42, 0], [3, 16, 163, 583, 990, 3399, 1518, 5214, 759, 2310, 143, 251, 8, 3], [3, 16, 164, 572, 1045, 3234, 1848, 4752, 1221, 1980, 308, 196, 19, 2], [3, 16, 165, 561, 1100, 3069, 2178, 4290, 1683, 1650, 473, 141, 30, 1], [3, 16, 166, 550, 1155, 2904, 2508, 3828, 2145, 1320, 638, 86, 41, 0], [3, 17, 152, 638, 825, 3729, 1056, 5676, 429, 2475, 88, 262, 7, 3], [3, 17, 153, 627, 880, 3564, 1386, 5214, 891, 2145, 253, 207, 18, 2], [3, 17, 154, 616, 935, 3399, 1716, 4752, 1353, 1815, 418, 152, 29, 1], [3, 17, 155, 605, 990, 3234, 2046, 4290, 1815, 1485, 583, 97, 40, 0], [3, 18, 141, 693, 660, 4059, 594, 6138, 99, 2640, 33, 273, 6, 3], [3, 18, 142, 682, 715, 3894, 924, 5676, 561, 2310, 198, 218, 17, 2], [3, 18, 143, 671, 770, 3729, 1254, 5214, 1023, 1980, 363, 163, 28, 1], [3, 18, 144, 660, 825, 3564, 1584, 4752, 1485, 1650, 528, 108, 39, 0], [3, 19, 131, 737, 550, 4224, 462, 6138, 231, 2475, 143, 229, 16, 2], [3, 19, 132, 726, 605, 4059, 792, 5676, 693, 2145, 308, 174, 27, 1], [3, 19, 133, 715, 660, 3894, 1122, 5214, 1155, 1815, 473, 119, 38, 0], [3, 20, 121, 781, 440, 4389, 330, 6138, 363, 2310, 253, 185, 26, 1], [3, 20, 122, 770, 495, 4224, 660, 5676, 825, 1980, 418, 130, 37, 0], [3, 21, 111, 825, 330, 4554, 198, 6138, 495, 2145, 363, 141, 36, 0], [4, 0, 272, 154, 2090, 1452, 3960, 3036, 2112, 1760, 264, 250, 2, 4], [4, 0, 273, 143, 2145, 1287, 4290, 2574, 2574, 1430, 429, 195, 13, 3], [4, 0, 274, 132, 2200, 1122, 4620, 2112, 3036, 1100, 594, 140, 24, 2], [4, 0, 275, 121, 2255, 957, 4950, 1650, 3498, 770, 759, 85, 35, 1], [4, 0, 276, 110, 2310, 792, 5280, 1188, 3960, 440, 924, 30, 46, 0], [4, 1, 261, 209, 1925, 1782, 3498, 3498, 1782, 1925, 209, 261, 1, 4], [4, 1, 262, 198, 1980, 1617, 3828, 3036, 2244, 1595, 374, 206, 12, 3], [4, 1, 263, 187, 2035, 1452, 4158, 2574, 2706, 1265, 539, 151, 23, 2], [4, 1, 264, 176, 2090, 1287, 4488, 2112, 3168, 935, 704, 96, 34, 1], [4, 1, 265, 165, 2145, 1122, 4818, 1650, 3630, 605, 869, 41, 45, 0], [4, 2, 250, 264, 1760, 2112, 3036, 3960, 1452, 2090, 154, 272, 0, 4], [4, 2, 251, 253, 1815, 1947, 3366, 3498, 1914, 1760, 319, 217, 11, 3], [4, 2, 252, 242, 1870, 1782, 3696, 3036, 2376, 1430, 484, 162, 22, 2], [4, 2, 253, 231, 1925, 1617, 4026, 2574, 2838, 1100, 649, 107, 33, 1], [4, 2, 254, 220, 1980, 1452, 4356, 2112, 3300, 770, 814, 52, 44, 0], [4, 3, 240, 308, 1650, 2277, 2904, 3960, 1584, 1925, 264, 228, 10, 3], [4, 3, 241, 297, 1705, 2112, 3234, 3498, 2046, 1595, 429, 173, 21, 2], [4, 3, 242, 286, 1760, 1947, 3564, 3036, 2508, 1265, 594, 118, 32, 1], [4, 3, 243, 275, 1815, 1782, 3894, 2574, 2970, 935, 759, 63, 43, 0], [4, 4, 229, 363, 1485, 2607, 2442, 4422, 1254, 2090, 209, 239, 9, 3], [4, 4, 230, 352, 1540, 2442, 2772, 3960, 1716, 1760, 374, 184, 20, 2], [4, 4, 231, 341, 1595, 2277, 3102, 3498, 2178, 1430, 539, 129, 31, 1], [4, 4, 232, 330, 1650, 2112, 3432, 3036, 2640, 1100, 704, 74, 42, 0], [4, 5, 218, 418, 1320, 2937, 1980, 4884, 924, 2255, 154, 250, 8, 3], [4, 5, 219, 407, 1375, 2772, 2310, 4422, 1386, 1925, 319, 195, 19, 2], [4, 5, 220, 396, 1430, 2607, 2640, 3960, 1848, 1595, 484, 140, 30, 1], [4, 5, 221, 385, 1485, 2442, 2970, 3498, 2310, 1265, 649, 85, 41, 0], [4, 6, 207, 473, 1155, 3267, 1518, 5346, 594, 2420, 99, 261, 7, 3], [4, 6, 208, 462, 1210, 3102, 1848, 4884, 1056, 2090, 264, 206, 18, 2], [4, 6, 209, 451, 1265, 2937, 2178, 4422, 1518, 1760, 429, 151, 29, 1], [4, 6, 210, 440, 1320, 2772, 2508, 3960, 1980, 1430, 594, 96, 40, 0], [4, 7, 196, 528, 990, 3597, 1056, 5808, 264, 2585, 44, 272, 6, 3], [4, 7, 197, 517, 1045, 3432, 1386, 5346, 726, 2255, 209, 217, 17, 2], [4, 7, 198, 506, 1100, 3267, 1716, 4884, 1188, 1925, 374, 162, 28, 1], [4, 7, 199, 495, 1155, 3102, 2046, 4422, 1650, 1595, 539, 107, 39, 0], [4, 8, 186, 572, 880, 3762, 924, 5808, 396, 2420, 154, 228, 16, 2], [4, 8, 187, 561, 935, 3597, 1254, 5346, 858, 2090, 319, 173, 27, 1], [4, 8, 188, 550, 990, 3432, 1584, 4884, 1320, 1760, 484, 118, 38, 0], [4, 9, 175, 627, 715, 4092, 462, 6270, 66, 2585, 99, 239, 15, 2], [4, 9, 176, 616, 770, 3927, 792, 5808, 528, 2255, 264, 184, 26, 1], [4, 9, 177, 605, 825, 3762, 1122, 5346, 990, 1925, 429, 129, 37, 0], [4, 10, 165, 671, 605, 4257, 330, 6270, 198, 2420, 209, 195, 25, 1], [4, 10, 166, 660, 660, 4092, 660, 5808, 660, 2090, 374, 140, 36, 0], [4, 11, 155, 715, 495, 4422, 198, 6270, 330, 2255, 319, 151, 35, 0], [5, 0, 209, 561, 770, 4125, 330, 6402, 33, 2530, 165, 205, 24, 1], [5, 0, 210, 550, 825, 3960, 660, 5940, 495, 2200, 330, 150, 35, 0], [5, 1, 199, 605, 660, 4290, 198, 6402, 165, 2365, 275, 161, 34, 0]} (14, 15360, 10) has 740 possible DDs: {[1, 4, 169, 3, 1683, 1023, 2937, 4422, 759, 3674, 11, 599, 69, 3, 3], [1, 5, 159, 47, 1573, 1188, 2805, 4422, 891, 3509, 121, 555, 79, 2, 3], [1, 5, 160, 36, 1628, 1023, 3135, 3960, 1353, 3179, 286, 500, 90, 1, 3], [1, 5, 161, 25, 1683, 858, 3465, 3498, 1815, 2849, 451, 445, 101, 0, 3], [1, 5, 161, 26, 1672, 913, 3300, 3828, 1353, 3311, 121, 610, 46, 11, 2], [1, 5, 162, 15, 1727, 748, 3630, 3366, 1815, 2981, 286, 555, 57, 10, 2], [1, 5, 163, 4, 1782, 583, 3960, 2904, 2277, 2651, 451, 500, 68, 9, 2], [1, 5, 163, 5, 1771, 638, 3795, 3234, 1815, 3113, 121, 665, 13, 20, 1], [1, 6, 148, 102, 1408, 1518, 2343, 4884, 561, 3674, 66, 566, 78, 2, 3], [1, 6, 149, 91, 1463, 1353, 2673, 4422, 1023, 3344, 231, 511, 89, 1, 3], [1, 6, 150, 80, 1518, 1188, 3003, 3960, 1485, 3014, 396, 456, 100, 0, 3], [1, 6, 150, 81, 1507, 1243, 2838, 4290, 1023, 3476, 66, 621, 45, 11, 2], [1, 6, 151, 70, 1562, 1078, 3168, 3828, 1485, 3146, 231, 566, 56, 10, 2], [1, 6, 152, 59, 1617, 913, 3498, 3366, 1947, 2816, 396, 511, 67, 9, 2], [1, 6, 152, 60, 1606, 968, 3333, 3696, 1485, 3278, 66, 676, 12, 20, 1], [1, 6, 153, 48, 1672, 748, 3828, 2904, 2409, 2486, 561, 456, 78, 8, 2], [1, 6, 153, 49, 1661, 803, 3663, 3234, 1947, 2948, 231, 621, 23, 19, 1], [1, 6, 154, 37, 1727, 583, 4158, 2442, 2871, 2156, 726, 401, 89, 7, 2], [1, 6, 154, 38, 1716, 638, 3993, 2772, 2409, 2618, 396, 566, 34, 18, 1], [1, 6, 155, 26, 1782, 418, 4488, 1980, 3333, 1826, 891, 346, 100, 6, 2], [1, 6, 155, 27, 1771, 473, 4323, 2310, 2871, 2288, 561, 511, 45, 17, 1], [1, 6, 156, 15, 1837, 253, 4818, 1518, 3795, 1496, 1056, 291, 111, 5, 2], [1, 6, 156, 16, 1826, 308, 4653, 1848, 3333, 1958, 726, 456, 56, 16, 1], [1, 6, 156, 17, 1815, 363, 4488, 2178, 2871, 2420, 396, 621, 1, 27, 0], [1, 6, 157, 4, 1892, 88, 5148, 1056, 4257, 1166, 1221, 236, 122, 4, 2], [1, 6, 157, 5, 1881, 143, 4983, 1386, 3795, 1628, 891, 401, 67, 15, 1], [1, 6, 157, 6, 1870, 198, 4818, 1716, 3333, 2090, 561, 566, 12, 26, 0], [1, 7, 137, 157, 1243, 1848, 1881, 5346, 231, 3839, 11, 577, 77, 2, 3], [1, 7, 138, 146, 1298, 1683, 2211, 4884, 693, 3509, 176, 522, 88, 1, 3], [1, 7, 139, 135, 1353, 1518, 2541, 4422, 1155, 3179, 341, 467, 99, 0, 3], [1, 7, 139, 136, 1342, 1573, 2376, 4752, 693, 3641, 11, 632, 44, 11, 2], [1, 7, 140, 125, 1397, 1408, 2706, 4290, 1155, 3311, 176, 577, 55, 10, 2], [1, 7, 141, 114, 1452, 1243, 3036, 3828, 1617, 2981, 341, 522, 66, 9, 2], [1, 7, 141, 115, 1441, 1298, 2871, 4158, 1155, 3443, 11, 687, 11, 20, 1], [1, 7, 142, 103, 1507, 1078, 3366, 3366, 2079, 2651, 506, 467, 77, 8, 2], [1, 7, 142, 104, 1496, 1133, 3201, 3696, 1617, 3113, 176, 632, 22, 19, 1], [1, 7, 143, 92, 1562, 913, 3696, 2904, 2541, 2321, 671, 412, 88, 7, 2], [1, 7, 143, 93, 1551, 968, 3531, 3234, 2079, 2783, 341, 577, 33, 18, 1], [1, 7, 144, 81, 1617, 748, 4026, 2442, 3003, 1991, 836, 357, 99, 6, 2], [1, 7, 144, 82, 1606, 803, 3861, 2772, 2541, 2453, 506, 522, 44, 17, 1], [1, 7, 145, 70, 1672, 583, 4356, 1980, 3465, 1661, 1001, 302, 110, 5, 2], [1, 7, 145, 71, 1661, 638, 4191, 2310, 3003, 2123, 671, 467, 55, 16, 1], [1, 7, 145, 72, 1650, 693, 4026, 2640, 2541, 2585, 341, 632, 0, 27, 0], [1, 7, 146, 59, 1727, 418, 4686, 1518, 3927, 1331, 1166, 247, 121, 4, 2], [1, 7, 146, 60, 1716, 473, 4521, 1848, 3465, 1793, 836, 412, 66, 15, 1], [1, 7, 146, 61, 1705, 528, 4356, 2178, 3003, 2255, 506, 577, 11, 26, 0], [1, 7, 147, 48, 1782, 253, 5016, 1056, 4389, 1001, 1331, 192, 132, 3, 2], [1, 7, 147, 49, 1771, 308, 4851, 1386, 3927, 1463, 1001, 357, 77, 14, 1], [1, 7, 147, 50, 1760, 363, 4686, 1716, 3465, 1925, 671, 522, 22, 25, 0], [1, 7, 148, 37, 1837, 88, 5346, 594, 4851, 671, 1496, 137, 143, 2, 2], [1, 7, 148, 38, 1826, 143, 5181, 924, 4389, 1133, 1166, 302, 88, 13, 1], [1, 7, 148, 39, 1815, 198, 5016, 1254, 3927, 1595, 836, 467, 33, 24, 0], [1, 7, 149, 28, 1870, 33, 5346, 792, 4389, 1265, 1001, 412, 44, 23, 0], [1, 8, 127, 201, 1133, 2013, 1749, 5346, 363, 3674, 121, 533, 87, 1, 3], [1, 8, 128, 190, 1188, 1848, 2079, 4884, 825, 3344, 286, 478, 98, 0, 3], [1, 8, 129, 180, 1232, 1738, 2244, 4752, 825, 3476, 121, 588, 54, 10, 2], [1, 8, 130, 169, 1287, 1573, 2574, 4290, 1287, 3146, 286, 533, 65, 9, 2], [1, 8, 131, 158, 1342, 1408, 2904, 3828, 1749, 2816, 451, 478, 76, 8, 2], [1, 8, 131, 159, 1331, 1463, 2739, 4158, 1287, 3278, 121, 643, 21, 19, 1], [1, 8, 132, 147, 1397, 1243, 3234, 3366, 2211, 2486, 616, 423, 87, 7, 2], [1, 8, 132, 148, 1386, 1298, 3069, 3696, 1749, 2948, 286, 588, 32, 18, 1], [1, 8, 133, 136, 1452, 1078, 3564, 2904, 2673, 2156, 781, 368, 98, 6, 2], [1, 8, 133, 137, 1441, 1133, 3399, 3234, 2211, 2618, 451, 533, 43, 17, 1], [1, 8, 134, 125, 1507, 913, 3894, 2442, 3135, 1826, 946, 313, 109, 5, 2], [1, 8, 134, 126, 1496, 968, 3729, 2772, 2673, 2288, 616, 478, 54, 16, 1], [1, 8, 135, 114, 1562, 748, 4224, 1980, 3597, 1496, 1111, 258, 120, 4, 2], [1, 8, 135, 115, 1551, 803, 4059, 2310, 3135, 1958, 781, 423, 65, 15, 1], [1, 8, 135, 116, 1540, 858, 3894, 2640, 2673, 2420, 451, 588, 10, 26, 0], [1, 8, 136, 103, 1617, 583, 4554, 1518, 4059, 1166, 1276, 203, 131, 3, 2], [1, 8, 136, 104, 1606, 638, 4389, 1848, 3597, 1628, 946, 368, 76, 14, 1], [1, 8, 136, 105, 1595, 693, 4224, 2178, 3135, 2090, 616, 533, 21, 25, 0], [1, 8, 137, 92, 1672, 418, 4884, 1056, 4521, 836, 1441, 148, 142, 2, 2], [1, 8, 137, 93, 1661, 473, 4719, 1386, 4059, 1298, 1111, 313, 87, 13, 1], [1, 8, 137, 94, 1650, 528, 4554, 1716, 3597, 1760, 781, 478, 32, 24, 0], [1, 8, 138, 81, 1727, 253, 5214, 594, 4983, 506, 1606, 93, 153, 1, 2], [1, 8, 138, 82, 1716, 308, 5049, 924, 4521, 968, 1276, 258, 98, 12, 1], [1, 8, 138, 83, 1705, 363, 4884, 1254, 4059, 1430, 946, 423, 43, 23, 0], [1, 8, 139, 70, 1782, 88, 5544, 132, 5445, 176, 1771, 38, 164, 0, 2], [1, 8, 139, 71, 1771, 143, 5379, 462, 4983, 638, 1441, 203, 109, 11, 1], [1, 8, 139, 72, 1760, 198, 5214, 792, 4521, 1100, 1111, 368, 54, 22, 0], [1, 8, 140, 61, 1815, 33, 5544, 330, 4983, 770, 1276, 313, 65, 21, 0], [1, 9, 116, 256, 968, 2343, 1287, 5808, 33, 3839, 66, 544, 86, 1, 3], [1, 9, 117, 245, 1023, 2178, 1617, 5346, 495, 3509, 231, 489, 97, 0, 3], [1, 9, 118, 235, 1067, 2068, 1782, 5214, 495, 3641, 66, 599, 53, 10, 2], [1, 9, 119, 224, 1122, 1903, 2112, 4752, 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13, 0], [3, 3, 69, 599, 11, 3674, 759, 4422, 2937, 1023, 1683, 3, 169, 4, 1], [3, 3, 69, 600, 0, 3729, 594, 4752, 2475, 1485, 1353, 168, 114, 15, 0], [3, 3, 70, 589, 55, 3564, 924, 4290, 2937, 1155, 1518, 113, 125, 14, 0], [3, 3, 71, 578, 110, 3399, 1254, 3828, 3399, 825, 1683, 58, 136, 13, 0], [3, 3, 72, 567, 165, 3234, 1584, 3366, 3861, 495, 1848, 3, 147, 12, 0], [3, 4, 61, 622, 0, 3564, 1122, 3828, 3531, 660, 1793, 14, 146, 12, 0]} (15, 15360, 10) has 1821 possible DDs: {[1, 0, 77, 209, 331, 2585, 55, 5676, 1287, 2618, 1947, 145, 397, 29, 1, 2], [1, 0, 78, 198, 386, 2420, 385, 5214, 1749, 2288, 2112, 90, 408, 28, 1, 2], [1, 0, 78, 199, 375, 2475, 220, 5544, 1287, 2750, 1782, 255, 353, 39, 0, 2], [1, 0, 79, 187, 441, 2255, 715, 4752, 2211, 1958, 2277, 35, 419, 27, 1, 2], [1, 0, 79, 188, 430, 2310, 550, 5082, 1749, 2420, 1947, 200, 364, 38, 0, 2], [1, 0, 79, 190, 409, 2409, 275, 5577, 1155, 2882, 1749, 200, 419, 5, 9, 1], [1, 0, 79, 191, 398, 2464, 110, 5907, 693, 3344, 1419, 365, 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