-------
(15, 15360, 10) ALL distance distributions for EXTERNAL point
(10, 15360, 10) has 0 possible DDs: {}
(11, 15360, 10) has 1 possible DDs: {[0, 165, 0, 2475, 0, 6930, 0, 4950, 0, 825, 0, 15]}
(12, 15360, 10) has 9 possible DDs: {[0, 82, 88, 1210, 1320, 3300, 3696, 2244, 2640, 330, 440, 2, 8], [0, 83, 77, 1265, 1155, 3630, 3234, 2706, 2310, 495, 385, 13, 7], [0, 84, 66, 1320, 990, 3960, 2772, 3168, 1980, 660, 330, 24, 6], [0, 85, 55, 1375, 825, 4290, 2310, 3630, 1650, 825, 275, 35, 5], [0, 86, 44, 1430, 660, 4620, 1848, 4092, 1320, 990, 220, 46, 4], [0, 87, 33, 1485, 495, 4950, 1386, 4554, 990, 1155, 165, 57, 3], [0, 88, 22, 1540, 330, 5280, 924, 5016, 660, 1320, 110, 68, 2], [0, 89, 11, 1595, 165, 5610, 462, 5478, 330, 1485, 55, 79, 1], [0, 90, 0, 1650, 0, 5940, 0, 5940, 0, 1650, 0, 90, 0]}
(13, 15360, 10) has 60 possible DDs: {[0, 34, 161, 275, 2365, 165, 6402, 198, 4290, 660, 605, 199, 1, 5], [0, 35, 150, 330, 2200, 495, 5940, 660, 3960, 825, 550, 210, 0, 5], [0, 35, 151, 319, 2255, 330, 6270, 198, 4422, 495, 715, 155, 11, 4], [0, 36, 140, 374, 2090, 660, 5808, 660, 4092, 660, 660, 166, 10, 4], [0, 36, 141, 363, 2145, 495, 6138, 198, 4554, 330, 825, 111, 21, 3], [0, 37, 129, 429, 1925, 990, 5346, 1122, 3762, 825, 605, 177, 9, 4], [0, 37, 130, 418, 1980, 825, 5676, 660, 4224, 495, 770, 122, 20, 3], [0, 37, 131, 407, 2035, 660, 6006, 198, 4686, 165, 935, 67, 31, 2], [0, 38, 118, 484, 1760, 1320, 4884, 1584, 3432, 990, 550, 188, 8, 4], [0, 38, 119, 473, 1815, 1155, 5214, 1122, 3894, 660, 715, 133, 19, 3], [0, 38, 120, 462, 1870, 990, 5544, 660, 4356, 330, 880, 78, 30, 2], [0, 38, 121, 451, 1925, 825, 5874, 198, 4818, 0, 1045, 23, 41, 1], [0, 39, 107, 539, 1595, 1650, 4422, 2046, 3102, 1155, 495, 199, 7, 4], [0, 39, 108, 528, 1650, 1485, 4752, 1584, 3564, 825, 660, 144, 18, 3], [0, 39, 109, 517, 1705, 1320, 5082, 1122, 4026, 495, 825, 89, 29, 2], [0, 39, 110, 506, 1760, 1155, 5412, 660, 4488, 165, 990, 34, 40, 1], [0, 40, 96, 594, 1430, 1980, 3960, 2508, 2772, 1320, 440, 210, 6, 4], [0, 40, 97, 583, 1485, 1815, 4290, 2046, 3234, 990, 605, 155, 17, 3], [0, 40, 98, 572, 1540, 1650, 4620, 1584, 3696, 660, 770, 100, 28, 2], [0, 40, 99, 561, 1595, 1485, 4950, 1122, 4158, 330, 935, 45, 39, 1], [0, 41, 85, 649, 1265, 2310, 3498, 2970, 2442, 1485, 385, 221, 5, 4], [0, 41, 86, 638, 1320, 2145, 3828, 2508, 2904, 1155, 550, 166, 16, 3], [0, 41, 87, 627, 1375, 1980, 4158, 2046, 3366, 825, 715, 111, 27, 2], [0, 41, 88, 616, 1430, 1815, 4488, 1584, 3828, 495, 880, 56, 38, 1], [0, 41, 89, 605, 1485, 1650, 4818, 1122, 4290, 165, 1045, 1, 49, 0], [0, 42, 74, 704, 1100, 2640, 3036, 3432, 2112, 1650, 330, 232, 4, 4], [0, 42, 75, 693, 1155, 2475, 3366, 2970, 2574, 1320, 495, 177, 15, 3], [0, 42, 76, 682, 1210, 2310, 3696, 2508, 3036, 990, 660, 122, 26, 2], [0, 42, 77, 671, 1265, 2145, 4026, 2046, 3498, 660, 825, 67, 37, 1], [0, 42, 78, 660, 1320, 1980, 4356, 1584, 3960, 330, 990, 12, 48, 0], [0, 43, 63, 759, 935, 2970, 2574, 3894, 1782, 1815, 275, 243, 3, 4], [0, 43, 64, 748, 990, 2805, 2904, 3432, 2244, 1485, 440, 188, 14, 3], [0, 43, 65, 737, 1045, 2640, 3234, 2970, 2706, 1155, 605, 133, 25, 2], [0, 43, 66, 726, 1100, 2475, 3564, 2508, 3168, 825, 770, 78, 36, 1], [0, 43, 67, 715, 1155, 2310, 3894, 2046, 3630, 495, 935, 23, 47, 0], [0, 44, 52, 814, 770, 3300, 2112, 4356, 1452, 1980, 220, 254, 2, 4], [0, 44, 53, 803, 825, 3135, 2442, 3894, 1914, 1650, 385, 199, 13, 3], [0, 44, 54, 792, 880, 2970, 2772, 3432, 2376, 1320, 550, 144, 24, 2], [0, 44, 55, 781, 935, 2805, 3102, 2970, 2838, 990, 715, 89, 35, 1], [0, 44, 56, 770, 990, 2640, 3432, 2508, 3300, 660, 880, 34, 46, 0], [0, 45, 41, 869, 605, 3630, 1650, 4818, 1122, 2145, 165, 265, 1, 4], [0, 45, 42, 858, 660, 3465, 1980, 4356, 1584, 1815, 330, 210, 12, 3], [0, 45, 43, 847, 715, 3300, 2310, 3894, 2046, 1485, 495, 155, 23, 2], [0, 45, 44, 836, 770, 3135, 2640, 3432, 2508, 1155, 660, 100, 34, 1], [0, 45, 45, 825, 825, 2970, 2970, 2970, 2970, 825, 825, 45, 45, 0], [0, 46, 30, 924, 440, 3960, 1188, 5280, 792, 2310, 110, 276, 0, 4], [0, 46, 31, 913, 495, 3795, 1518, 4818, 1254, 1980, 275, 221, 11, 3], [0, 46, 32, 902, 550, 3630, 1848, 4356, 1716, 1650, 440, 166, 22, 2], [0, 46, 33, 891, 605, 3465, 2178, 3894, 2178, 1320, 605, 111, 33, 1], [0, 46, 34, 880, 660, 3300, 2508, 3432, 2640, 990, 770, 56, 44, 0], [0, 47, 20, 968, 330, 4125, 1056, 5280, 924, 2145, 220, 232, 10, 3], [0, 47, 21, 957, 385, 3960, 1386, 4818, 1386, 1815, 385, 177, 21, 2], [0, 47, 22, 946, 440, 3795, 1716, 4356, 1848, 1485, 550, 122, 32, 1], [0, 47, 23, 935, 495, 3630, 2046, 3894, 2310, 1155, 715, 67, 43, 0], [0, 48, 9, 1023, 165, 4455, 594, 5742, 594, 2310, 165, 243, 9, 3], [0, 48, 10, 1012, 220, 4290, 924, 5280, 1056, 1980, 330, 188, 20, 2], [0, 48, 11, 1001, 275, 4125, 1254, 4818, 1518, 1650, 495, 133, 31, 1], [0, 48, 12, 990, 330, 3960, 1584, 4356, 1980, 1320, 660, 78, 42, 0], [0, 49, 0, 1056, 110, 4455, 792, 5280, 1188, 1815, 440, 144, 30, 1], [0, 49, 1, 1045, 165, 4290, 1122, 4818, 1650, 1485, 605, 89, 41, 0]}
(14, 15360, 10) has 381 possible DDs: {[0, 12, 146, 14, 1793, 660, 3531, 3828, 1122, 3564, 0, 622, 61, 4, 3], [0, 12, 147, 3, 1848, 495, 3861, 3366, 1584, 3234, 165, 567, 72, 3, 3], [0, 13, 136, 58, 1683, 825, 3399, 3828, 1254, 3399, 110, 578, 71, 3, 3], [0, 13, 137, 47, 1738, 660, 3729, 3366, 1716, 3069, 275, 523, 82, 2, 3], [0, 13, 138, 36, 1793, 495, 4059, 2904, 2178, 2739, 440, 468, 93, 1, 3], [0, 13, 138, 37, 1782, 550, 3894, 3234, 1716, 3201, 110, 633, 38, 12, 2], [0, 13, 139, 25, 1848, 330, 4389, 2442, 2640, 2409, 605, 413, 104, 0, 3], [0, 13, 139, 26, 1837, 385, 4224, 2772, 2178, 2871, 275, 578, 49, 11, 2], [0, 13, 140, 15, 1892, 220, 4554, 2310, 2640, 2541, 440, 523, 60, 10, 2], [0, 13, 140, 16, 1881, 275, 4389, 2640, 2178, 3003, 110, 688, 5, 21, 1], [0, 13, 141, 4, 1947, 55, 4884, 1848, 3102, 2211, 605, 468, 71, 9, 2], [0, 13, 141, 5, 1936, 110, 4719, 2178, 2640, 2673, 275, 633, 16, 20, 1], [0, 14, 125, 113, 1518, 1155, 2937, 4290, 924, 3564, 55, 589, 70, 3, 3], [0, 14, 126, 102, 1573, 990, 3267, 3828, 1386, 3234, 220, 534, 81, 2, 3], [0, 14, 127, 91, 1628, 825, 3597, 3366, 1848, 2904, 385, 479, 92, 1, 3], [0, 14, 127, 92, 1617, 880, 3432, 3696, 1386, 3366, 55, 644, 37, 12, 2], [0, 14, 128, 80, 1683, 660, 3927, 2904, 2310, 2574, 550, 424, 103, 0, 3], [0, 14, 128, 81, 1672, 715, 3762, 3234, 1848, 3036, 220, 589, 48, 11, 2], [0, 14, 129, 70, 1727, 550, 4092, 2772, 2310, 2706, 385, 534, 59, 10, 2], [0, 14, 129, 71, 1716, 605, 3927, 3102, 1848, 3168, 55, 699, 4, 21, 1], [0, 14, 130, 59, 1782, 385, 4422, 2310, 2772, 2376, 550, 479, 70, 9, 2], [0, 14, 130, 60, 1771, 440, 4257, 2640, 2310, 2838, 220, 644, 15, 20, 1], [0, 14, 131, 48, 1837, 220, 4752, 1848, 3234, 2046, 715, 424, 81, 8, 2], [0, 14, 131, 49, 1826, 275, 4587, 2178, 2772, 2508, 385, 589, 26, 19, 1], [0, 14, 132, 37, 1892, 55, 5082, 1386, 3696, 1716, 880, 369, 92, 7, 2], [0, 14, 132, 38, 1881, 110, 4917, 1716, 3234, 2178, 550, 534, 37, 18, 1], [0, 15, 114, 168, 1353, 1485, 2475, 4752, 594, 3729, 0, 600, 69, 3, 3], [0, 15, 115, 157, 1408, 1320, 2805, 4290, 1056, 3399, 165, 545, 80, 2, 3], [0, 15, 116, 146, 1463, 1155, 3135, 3828, 1518, 3069, 330, 490, 91, 1, 3], [0, 15, 116, 147, 1452, 1210, 2970, 4158, 1056, 3531, 0, 655, 36, 12, 2], [0, 15, 117, 135, 1518, 990, 3465, 3366, 1980, 2739, 495, 435, 102, 0, 3], [0, 15, 117, 136, 1507, 1045, 3300, 3696, 1518, 3201, 165, 600, 47, 11, 2], [0, 15, 118, 125, 1562, 880, 3630, 3234, 1980, 2871, 330, 545, 58, 10, 2], [0, 15, 118, 126, 1551, 935, 3465, 3564, 1518, 3333, 0, 710, 3, 21, 1], [0, 15, 119, 114, 1617, 715, 3960, 2772, 2442, 2541, 495, 490, 69, 9, 2], [0, 15, 119, 115, 1606, 770, 3795, 3102, 1980, 3003, 165, 655, 14, 20, 1], [0, 15, 120, 103, 1672, 550, 4290, 2310, 2904, 2211, 660, 435, 80, 8, 2], [0, 15, 120, 104, 1661, 605, 4125, 2640, 2442, 2673, 330, 600, 25, 19, 1], [0, 15, 121, 92, 1727, 385, 4620, 1848, 3366, 1881, 825, 380, 91, 7, 2], [0, 15, 121, 93, 1716, 440, 4455, 2178, 2904, 2343, 495, 545, 36, 18, 1], [0, 15, 122, 81, 1782, 220, 4950, 1386, 3828, 1551, 990, 325, 102, 6, 2], [0, 15, 122, 82, 1771, 275, 4785, 1716, 3366, 2013, 660, 490, 47, 17, 1], [0, 15, 123, 70, 1837, 55, 5280, 924, 4290, 1221, 1155, 270, 113, 5, 2], [0, 15, 123, 71, 1826, 110, 5115, 1254, 3828, 1683, 825, 435, 58, 16, 1], [0, 15, 123, 72, 1815, 165, 4950, 1584, 3366, 2145, 495, 600, 3, 27, 0], [0, 15, 124, 61, 1870, 0, 5280, 1122, 3828, 1815, 660, 545, 14, 26, 0], [0, 16, 104, 212, 1243, 1650, 2343, 4752, 726, 3564, 110, 556, 79, 2, 3], [0, 16, 105, 201, 1298, 1485, 2673, 4290, 1188, 3234, 275, 501, 90, 1, 3], [0, 16, 106, 190, 1353, 1320, 3003, 3828, 1650, 2904, 440, 446, 101, 0, 3], [0, 16, 106, 191, 1342, 1375, 2838, 4158, 1188, 3366, 110, 611, 46, 11, 2], [0, 16, 107, 180, 1397, 1210, 3168, 3696, 1650, 3036, 275, 556, 57, 10, 2], [0, 16, 108, 169, 1452, 1045, 3498, 3234, 2112, 2706, 440, 501, 68, 9, 2], [0, 16, 108, 170, 1441, 1100, 3333, 3564, 1650, 3168, 110, 666, 13, 20, 1], [0, 16, 109, 158, 1507, 880, 3828, 2772, 2574, 2376, 605, 446, 79, 8, 2], [0, 16, 109, 159, 1496, 935, 3663, 3102, 2112, 2838, 275, 611, 24, 19, 1], [0, 16, 110, 147, 1562, 715, 4158, 2310, 3036, 2046, 770, 391, 90, 7, 2], [0, 16, 110, 148, 1551, 770, 3993, 2640, 2574, 2508, 440, 556, 35, 18, 1], [0, 16, 111, 136, 1617, 550, 4488, 1848, 3498, 1716, 935, 336, 101, 6, 2], [0, 16, 111, 137, 1606, 605, 4323, 2178, 3036, 2178, 605, 501, 46, 17, 1], [0, 16, 112, 125, 1672, 385, 4818, 1386, 3960, 1386, 1100, 281, 112, 5, 2], [0, 16, 112, 126, 1661, 440, 4653, 1716, 3498, 1848, 770, 446, 57, 16, 1], [0, 16, 112, 127, 1650, 495, 4488, 2046, 3036, 2310, 440, 611, 2, 27, 0], [0, 16, 113, 114, 1727, 220, 5148, 924, 4422, 1056, 1265, 226, 123, 4, 2], [0, 16, 113, 115, 1716, 275, 4983, 1254, 3960, 1518, 935, 391, 68, 15, 1], [0, 16, 113, 116, 1705, 330, 4818, 1584, 3498, 1980, 605, 556, 13, 26, 0], [0, 16, 114, 103, 1782, 55, 5478, 462, 4884, 726, 1430, 171, 134, 3, 2], [0, 16, 114, 104, 1771, 110, 5313, 792, 4422, 1188, 1100, 336, 79, 14, 1], [0, 16, 114, 105, 1760, 165, 5148, 1122, 3960, 1650, 770, 501, 24, 25, 0], [0, 16, 115, 94, 1815, 0, 5478, 660, 4422, 1320, 935, 446, 35, 24, 0], [0, 17, 93, 267, 1078, 1980, 1881, 5214, 396, 3729, 55, 567, 78, 2, 3], [0, 17, 94, 256, 1133, 1815, 2211, 4752, 858, 3399, 220, 512, 89, 1, 3], [0, 17, 95, 245, 1188, 1650, 2541, 4290, 1320, 3069, 385, 457, 100, 0, 3], [0, 17, 95, 246, 1177, 1705, 2376, 4620, 858, 3531, 55, 622, 45, 11, 2], [0, 17, 96, 235, 1232, 1540, 2706, 4158, 1320, 3201, 220, 567, 56, 10, 2], [0, 17, 97, 224, 1287, 1375, 3036, 3696, 1782, 2871, 385, 512, 67, 9, 2], [0, 17, 97, 225, 1276, 1430, 2871, 4026, 1320, 3333, 55, 677, 12, 20, 1], [0, 17, 98, 213, 1342, 1210, 3366, 3234, 2244, 2541, 550, 457, 78, 8, 2], [0, 17, 98, 214, 1331, 1265, 3201, 3564, 1782, 3003, 220, 622, 23, 19, 1], [0, 17, 99, 202, 1397, 1045, 3696, 2772, 2706, 2211, 715, 402, 89, 7, 2], [0, 17, 99, 203, 1386, 1100, 3531, 3102, 2244, 2673, 385, 567, 34, 18, 1], [0, 17, 100, 191, 1452, 880, 4026, 2310, 3168, 1881, 880, 347, 100, 6, 2], [0, 17, 100, 192, 1441, 935, 3861, 2640, 2706, 2343, 550, 512, 45, 17, 1], [0, 17, 101, 180, 1507, 715, 4356, 1848, 3630, 1551, 1045, 292, 111, 5, 2], [0, 17, 101, 181, 1496, 770, 4191, 2178, 3168, 2013, 715, 457, 56, 16, 1], [0, 17, 101, 182, 1485, 825, 4026, 2508, 2706, 2475, 385, 622, 1, 27, 0], [0, 17, 102, 169, 1562, 550, 4686, 1386, 4092, 1221, 1210, 237, 122, 4, 2], [0, 17, 102, 170, 1551, 605, 4521, 1716, 3630, 1683, 880, 402, 67, 15, 1], [0, 17, 102, 171, 1540, 660, 4356, 2046, 3168, 2145, 550, 567, 12, 26, 0], [0, 17, 103, 158, 1617, 385, 5016, 924, 4554, 891, 1375, 182, 133, 3, 2], [0, 17, 103, 159, 1606, 440, 4851, 1254, 4092, 1353, 1045, 347, 78, 14, 1], [0, 17, 103, 160, 1595, 495, 4686, 1584, 3630, 1815, 715, 512, 23, 25, 0], [0, 17, 104, 147, 1672, 220, 5346, 462, 5016, 561, 1540, 127, 144, 2, 2], [0, 17, 104, 148, 1661, 275, 5181, 792, 4554, 1023, 1210, 292, 89, 13, 1], [0, 17, 104, 149, 1650, 330, 5016, 1122, 4092, 1485, 880, 457, 34, 24, 0], [0, 17, 105, 136, 1727, 55, 5676, 0, 5478, 231, 1705, 72, 155, 1, 2], [0, 17, 105, 137, 1716, 110, 5511, 330, 5016, 693, 1375, 237, 100, 12, 1], [0, 17, 105, 138, 1705, 165, 5346, 660, 4554, 1155, 1045, 402, 45, 23, 0], [0, 17, 106, 127, 1760, 0, 5676, 198, 5016, 825, 1210, 347, 56, 22, 0], [0, 18, 82, 322, 913, 2310, 1419, 5676, 66, 3894, 0, 578, 77, 2, 3], [0, 18, 83, 311, 968, 2145, 1749, 5214, 528, 3564, 165, 523, 88, 1, 3], [0, 18, 84, 300, 1023, 1980, 2079, 4752, 990, 3234, 330, 468, 99, 0, 3], [0, 18, 84, 301, 1012, 2035, 1914, 5082, 528, 3696, 0, 633, 44, 11, 2], [0, 18, 85, 290, 1067, 1870, 2244, 4620, 990, 3366, 165, 578, 55, 10, 2], [0, 18, 86, 279, 1122, 1705, 2574, 4158, 1452, 3036, 330, 523, 66, 9, 2], [0, 18, 86, 280, 1111, 1760, 2409, 4488, 990, 3498, 0, 688, 11, 20, 1], [0, 18, 87, 268, 1177, 1540, 2904, 3696, 1914, 2706, 495, 468, 77, 8, 2], [0, 18, 87, 269, 1166, 1595, 2739, 4026, 1452, 3168, 165, 633, 22, 19, 1], [0, 18, 88, 257, 1232, 1375, 3234, 3234, 2376, 2376, 660, 413, 88, 7, 2], [0, 18, 88, 258, 1221, 1430, 3069, 3564, 1914, 2838, 330, 578, 33, 18, 1], [0, 18, 89, 246, 1287, 1210, 3564, 2772, 2838, 2046, 825, 358, 99, 6, 2], [0, 18, 89, 247, 1276, 1265, 3399, 3102, 2376, 2508, 495, 523, 44, 17, 1], [0, 18, 90, 235, 1342, 1045, 3894, 2310, 3300, 1716, 990, 303, 110, 5, 2], [0, 18, 90, 236, 1331, 1100, 3729, 2640, 2838, 2178, 660, 468, 55, 16, 1], [0, 18, 90, 237, 1320, 1155, 3564, 2970, 2376, 2640, 330, 633, 0, 27, 0], [0, 18, 91, 224, 1397, 880, 4224, 1848, 3762, 1386, 1155, 248, 121, 4, 2], [0, 18, 91, 225, 1386, 935, 4059, 2178, 3300, 1848, 825, 413, 66, 15, 1], [0, 18, 91, 226, 1375, 990, 3894, 2508, 2838, 2310, 495, 578, 11, 26, 0], [0, 18, 92, 213, 1452, 715, 4554, 1386, 4224, 1056, 1320, 193, 132, 3, 2], [0, 18, 92, 214, 1441, 770, 4389, 1716, 3762, 1518, 990, 358, 77, 14, 1], [0, 18, 92, 215, 1430, 825, 4224, 2046, 3300, 1980, 660, 523, 22, 25, 0], [0, 18, 93, 202, 1507, 550, 4884, 924, 4686, 726, 1485, 138, 143, 2, 2], 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(15, 15360, 10) has 1947 possible DDs: {[0, 3, 99, 52, 749, 2057, 154, 6402, 66, 3597, 1551, 168, 449, 7, 4, 2], [0, 3, 100, 41, 804, 1892, 484, 5940, 528, 3267, 1716, 113, 460, 6, 4, 2], [0, 3, 100, 42, 793, 1947, 319, 6270, 66, 3729, 1386, 278, 405, 17, 3, 2], [0, 3, 101, 30, 859, 1727, 814, 5478, 990, 2937, 1881, 58, 471, 5, 4, 2], [0, 3, 101, 31, 848, 1782, 649, 5808, 528, 3399, 1551, 223, 416, 16, 3, 2], [0, 3, 101, 32, 837, 1837, 484, 6138, 66, 3861, 1221, 388, 361, 27, 2, 2], [0, 3, 102, 19, 914, 1562, 1144, 5016, 1452, 2607, 2046, 3, 482, 4, 4, 2], [0, 3, 102, 20, 903, 1617, 979, 5346, 990, 3069, 1716, 168, 427, 15, 3, 2], [0, 3, 102, 21, 892, 1672, 814, 5676, 528, 3531, 1386, 333, 372, 26, 2, 2], [0, 3, 102, 22, 881, 1727, 649, 6006, 66, 3993, 1056, 498, 317, 37, 1, 2], [0, 3, 103, 9, 958, 1452, 1309, 4884, 1452, 2739, 1881, 113, 438, 14, 3, 2], [0, 3, 103, 10, 947, 1507, 1144, 5214, 990, 3201, 1551, 278, 383, 25, 2, 2], [0, 3, 103, 11, 936, 1562, 979, 5544, 528, 3663, 1221, 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