------- (15, 10240, 10) ALL distance distributions for INTERNAL point (10, 10240, 10) has 1 possible DDs: {[10, 100, 450, 1200, 2100, 2520, 2100, 1200, 450, 100, 10]} (11, 10240, 10) has 10 possible DDs: {[1, 99, 55, 1485, 330, 4158, 462, 2970, 165, 495, 11, 9], [2, 88, 110, 1320, 660, 3696, 924, 2640, 330, 440, 22, 8], [3, 77, 165, 1155, 990, 3234, 1386, 2310, 495, 385, 33, 7], [4, 66, 220, 990, 1320, 2772, 1848, 1980, 660, 330, 44, 6], [5, 55, 275, 825, 1650, 2310, 2310, 1650, 825, 275, 55, 5], [6, 44, 330, 660, 1980, 1848, 2772, 1320, 990, 220, 66, 4], [7, 33, 385, 495, 2310, 1386, 3234, 990, 1155, 165, 77, 3], [8, 22, 440, 330, 2640, 924, 3696, 660, 1320, 110, 88, 2], [9, 11, 495, 165, 2970, 462, 4158, 330, 1485, 55, 99, 1], [10, 0, 550, 0, 3300, 0, 4620, 0, 1650, 0, 110, 0]} (12, 10240, 10) has 30 possible DDs: {[1, 44, 110, 660, 1155, 1848, 2772, 1320, 1815, 220, 286, 4, 5], [1, 45, 99, 715, 990, 2178, 2310, 1782, 1485, 385, 231, 15, 4], [1, 46, 88, 770, 825, 2508, 1848, 2244, 1155, 550, 176, 26, 3], [1, 47, 77, 825, 660, 2838, 1386, 2706, 825, 715, 121, 37, 2], [1, 48, 66, 880, 495, 3168, 924, 3168, 495, 880, 66, 48, 1], [1, 49, 55, 935, 330, 3498, 462, 3630, 165, 1045, 11, 59, 0], [2, 33, 165, 495, 1485, 1386, 3234, 990, 1980, 165, 297, 3, 5], [2, 34, 154, 550, 1320, 1716, 2772, 1452, 1650, 330, 242, 14, 4], [2, 35, 143, 605, 1155, 2046, 2310, 1914, 1320, 495, 187, 25, 3], [2, 36, 132, 660, 990, 2376, 1848, 2376, 990, 660, 132, 36, 2], [2, 37, 121, 715, 825, 2706, 1386, 2838, 660, 825, 77, 47, 1], [2, 38, 110, 770, 660, 3036, 924, 3300, 330, 990, 22, 58, 0], [3, 22, 220, 330, 1815, 924, 3696, 660, 2145, 110, 308, 2, 5], [3, 23, 209, 385, 1650, 1254, 3234, 1122, 1815, 275, 253, 13, 4], [3, 24, 198, 440, 1485, 1584, 2772, 1584, 1485, 440, 198, 24, 3], [3, 25, 187, 495, 1320, 1914, 2310, 2046, 1155, 605, 143, 35, 2], [3, 26, 176, 550, 1155, 2244, 1848, 2508, 825, 770, 88, 46, 1], [3, 27, 165, 605, 990, 2574, 1386, 2970, 495, 935, 33, 57, 0], [4, 11, 275, 165, 2145, 462, 4158, 330, 2310, 55, 319, 1, 5], [4, 12, 264, 220, 1980, 792, 3696, 792, 1980, 220, 264, 12, 4], [4, 13, 253, 275, 1815, 1122, 3234, 1254, 1650, 385, 209, 23, 3], [4, 14, 242, 330, 1650, 1452, 2772, 1716, 1320, 550, 154, 34, 2], [4, 15, 231, 385, 1485, 1782, 2310, 2178, 990, 715, 99, 45, 1], [4, 16, 220, 440, 1320, 2112, 1848, 2640, 660, 880, 44, 56, 0], [5, 0, 330, 0, 2475, 0, 4620, 0, 2475, 0, 330, 0, 5], [5, 1, 319, 55, 2310, 330, 4158, 462, 2145, 165, 275, 11, 4], [5, 2, 308, 110, 2145, 660, 3696, 924, 1815, 330, 220, 22, 3], [5, 3, 297, 165, 1980, 990, 3234, 1386, 1485, 495, 165, 33, 2], [5, 4, 286, 220, 1815, 1320, 2772, 1848, 1155, 660, 110, 44, 1], [5, 5, 275, 275, 1650, 1650, 2310, 2310, 825, 825, 55, 55, 0]} (13, 10240, 10) has 70 possible DDs: {[1, 13, 148, 88, 1705, 33, 4224, 264, 2739, 495, 396, 128, 3, 3], [1, 14, 137, 143, 1540, 363, 3762, 726, 2409, 660, 341, 139, 2, 3], [1, 14, 138, 132, 1595, 198, 4092, 264, 2871, 330, 506, 84, 13, 2], [1, 15, 126, 198, 1375, 693, 3300, 1188, 2079, 825, 286, 150, 1, 3], [1, 15, 127, 187, 1430, 528, 3630, 726, 2541, 495, 451, 95, 12, 2], [1, 15, 128, 176, 1485, 363, 3960, 264, 3003, 165, 616, 40, 23, 1], [1, 16, 115, 253, 1210, 1023, 2838, 1650, 1749, 990, 231, 161, 0, 3], [1, 16, 116, 242, 1265, 858, 3168, 1188, 2211, 660, 396, 106, 11, 2], [1, 16, 117, 231, 1320, 693, 3498, 726, 2673, 330, 561, 51, 22, 1], [1, 17, 105, 297, 1100, 1188, 2706, 1650, 1881, 825, 341, 117, 10, 2], [1, 17, 106, 286, 1155, 1023, 3036, 1188, 2343, 495, 506, 62, 21, 1], [1, 17, 107, 275, 1210, 858, 3366, 726, 2805, 165, 671, 7, 32, 0], [1, 18, 94, 352, 935, 1518, 2244, 2112, 1551, 990, 286, 128, 9, 2], [1, 18, 95, 341, 990, 1353, 2574, 1650, 2013, 660, 451, 73, 20, 1], [1, 18, 96, 330, 1045, 1188, 2904, 1188, 2475, 330, 616, 18, 31, 0], [1, 19, 83, 407, 770, 1848, 1782, 2574, 1221, 1155, 231, 139, 8, 2], [1, 19, 84, 396, 825, 1683, 2112, 2112, 1683, 825, 396, 84, 19, 1], [1, 19, 85, 385, 880, 1518, 2442, 1650, 2145, 495, 561, 29, 30, 0], [1, 20, 72, 462, 605, 2178, 1320, 3036, 891, 1320, 176, 150, 7, 2], [1, 20, 73, 451, 660, 2013, 1650, 2574, 1353, 990, 341, 95, 18, 1], [1, 20, 74, 440, 715, 1848, 1980, 2112, 1815, 660, 506, 40, 29, 0], [1, 21, 61, 517, 440, 2508, 858, 3498, 561, 1485, 121, 161, 6, 2], [1, 21, 62, 506, 495, 2343, 1188, 3036, 1023, 1155, 286, 106, 17, 1], [1, 21, 63, 495, 550, 2178, 1518, 2574, 1485, 825, 451, 51, 28, 0], [1, 22, 50, 572, 275, 2838, 396, 3960, 231, 1650, 66, 172, 5, 2], [1, 22, 51, 561, 330, 2673, 726, 3498, 693, 1320, 231, 117, 16, 1], [1, 22, 52, 550, 385, 2508, 1056, 3036, 1155, 990, 396, 62, 27, 0], [1, 23, 40, 616, 165, 3003, 264, 3960, 363, 1485, 176, 128, 15, 1], [1, 23, 41, 605, 220, 2838, 594, 3498, 825, 1155, 341, 73, 26, 0], [1, 24, 30, 660, 55, 3168, 132, 3960, 495, 1320, 286, 84, 25, 0], [2, 4, 181, 33, 1705, 231, 3762, 858, 2244, 770, 297, 149, 1, 3], [2, 4, 182, 22, 1760, 66, 4092, 396, 2706, 440, 462, 94, 12, 2], [2, 5, 170, 88, 1540, 561, 3300, 1320, 1914, 935, 242, 160, 0, 3], [2, 5, 171, 77, 1595, 396, 3630, 858, 2376, 605, 407, 105, 11, 2], [2, 5, 172, 66, 1650, 231, 3960, 396, 2838, 275, 572, 50, 22, 1], [2, 6, 160, 132, 1430, 726, 3168, 1320, 2046, 770, 352, 116, 10, 2], [2, 6, 161, 121, 1485, 561, 3498, 858, 2508, 440, 517, 61, 21, 1], [2, 6, 162, 110, 1540, 396, 3828, 396, 2970, 110, 682, 6, 32, 0], [2, 7, 149, 187, 1265, 1056, 2706, 1782, 1716, 935, 297, 127, 9, 2], [2, 7, 150, 176, 1320, 891, 3036, 1320, 2178, 605, 462, 72, 20, 1], [2, 7, 151, 165, 1375, 726, 3366, 858, 2640, 275, 627, 17, 31, 0], [2, 8, 138, 242, 1100, 1386, 2244, 2244, 1386, 1100, 242, 138, 8, 2], [2, 8, 139, 231, 1155, 1221, 2574, 1782, 1848, 770, 407, 83, 19, 1], [2, 8, 140, 220, 1210, 1056, 2904, 1320, 2310, 440, 572, 28, 30, 0], [2, 9, 127, 297, 935, 1716, 1782, 2706, 1056, 1265, 187, 149, 7, 2], [2, 9, 128, 286, 990, 1551, 2112, 2244, 1518, 935, 352, 94, 18, 1], [2, 9, 129, 275, 1045, 1386, 2442, 1782, 1980, 605, 517, 39, 29, 0], [2, 10, 116, 352, 770, 2046, 1320, 3168, 726, 1430, 132, 160, 6, 2], [2, 10, 117, 341, 825, 1881, 1650, 2706, 1188, 1100, 297, 105, 17, 1], [2, 10, 118, 330, 880, 1716, 1980, 2244, 1650, 770, 462, 50, 28, 0], [2, 11, 105, 407, 605, 2376, 858, 3630, 396, 1595, 77, 171, 5, 2], [2, 11, 106, 396, 660, 2211, 1188, 3168, 858, 1265, 242, 116, 16, 1], [2, 11, 107, 385, 715, 2046, 1518, 2706, 1320, 935, 407, 61, 27, 0], [2, 12, 94, 462, 440, 2706, 396, 4092, 66, 1760, 22, 182, 4, 2], [2, 12, 95, 451, 495, 2541, 726, 3630, 528, 1430, 187, 127, 15, 1], [2, 12, 96, 440, 550, 2376, 1056, 3168, 990, 1100, 352, 72, 26, 0], [2, 13, 84, 506, 330, 2871, 264, 4092, 198, 1595, 132, 138, 14, 1], [2, 13, 85, 495, 385, 2706, 594, 3630, 660, 1265, 297, 83, 25, 0], [2, 14, 74, 550, 220, 3036, 132, 4092, 330, 1430, 242, 94, 24, 0], [3, 0, 160, 242, 935, 1914, 1320, 3300, 561, 1540, 88, 170, 5, 2], [3, 0, 161, 231, 990, 1749, 1650, 2838, 1023, 1210, 253, 115, 16, 1], [3, 0, 162, 220, 1045, 1584, 1980, 2376, 1485, 880, 418, 60, 27, 0], [3, 1, 149, 297, 770, 2244, 858, 3762, 231, 1705, 33, 181, 4, 2], [3, 1, 150, 286, 825, 2079, 1188, 3300, 693, 1375, 198, 126, 15, 1], [3, 1, 151, 275, 880, 1914, 1518, 2838, 1155, 1045, 363, 71, 26, 0], [3, 2, 139, 341, 660, 2409, 726, 3762, 363, 1540, 143, 137, 14, 1], [3, 2, 140, 330, 715, 2244, 1056, 3300, 825, 1210, 308, 82, 25, 0], [3, 3, 128, 396, 495, 2739, 264, 4224, 33, 1705, 88, 148, 13, 1], [3, 3, 129, 385, 550, 2574, 594, 3762, 495, 1375, 253, 93, 24, 0], [3, 4, 118, 440, 385, 2904, 132, 4224, 165, 1540, 198, 104, 23, 0]} (14, 10240, 10) has 137 possible DDs: {[1, 1, 110, 46, 957, 1023, 1518, 3300, 363, 2431, 66, 366, 55, 1, 2], [1, 1, 111, 35, 1012, 858, 1848, 2838, 825, 2101, 231, 311, 66, 0, 2], [1, 1, 112, 25, 1056, 748, 2013, 2706, 825, 2233, 66, 421, 22, 10, 1], [1, 1, 113, 14, 1111, 583, 2343, 2244, 1287, 1903, 231, 366, 33, 9, 1], [1, 1, 114, 3, 1166, 418, 2673, 1782, 1749, 1573, 396, 311, 44, 8, 1], [1, 2, 99, 101, 792, 1353, 1056, 3762, 33, 2596, 11, 377, 54, 1, 2], [1, 2, 100, 90, 847, 1188, 1386, 3300, 495, 2266, 176, 322, 65, 0, 2], [1, 2, 101, 80, 891, 1078, 1551, 3168, 495, 2398, 11, 432, 21, 10, 1], [1, 2, 102, 69, 946, 913, 1881, 2706, 957, 2068, 176, 377, 32, 9, 1], [1, 2, 103, 58, 1001, 748, 2211, 2244, 1419, 1738, 341, 322, 43, 8, 1], [1, 2, 104, 47, 1056, 583, 2541, 1782, 1881, 1408, 506, 267, 54, 7, 1], [1, 2, 105, 36, 1111, 418, 2871, 1320, 2343, 1078, 671, 212, 65, 6, 1], [1, 2, 105, 37, 1100, 473, 2706, 1650, 1881, 1540, 341, 377, 10, 17, 0], [1, 2, 106, 25, 1166, 253, 3201, 858, 2805, 748, 836, 157, 76, 5, 1], [1, 2, 106, 26, 1155, 308, 3036, 1188, 2343, 1210, 506, 322, 21, 16, 0], [1, 2, 107, 14, 1221, 88, 3531, 396, 3267, 418, 1001, 102, 87, 4, 1], [1, 2, 107, 15, 1210, 143, 3366, 726, 2805, 880, 671, 267, 32, 15, 0], [1, 3, 89, 145, 682, 1518, 924, 3762, 165, 2431, 121, 333, 64, 0, 2], [1, 3, 91, 124, 781, 1243, 1419, 3168, 627, 2233, 121, 388, 31, 9, 1], [1, 3, 92, 113, 836, 1078, 1749, 2706, 1089, 1903, 286, 333, 42, 8, 1], [1, 3, 93, 102, 891, 913, 2079, 2244, 1551, 1573, 451, 278, 53, 7, 1], [1, 3, 94, 91, 946, 748, 2409, 1782, 2013, 1243, 616, 223, 64, 6, 1], [1, 3, 94, 92, 935, 803, 2244, 2112, 1551, 1705, 286, 388, 9, 17, 0], [1, 3, 95, 80, 1001, 583, 2739, 1320, 2475, 913, 781, 168, 75, 5, 1], [1, 3, 95, 81, 990, 638, 2574, 1650, 2013, 1375, 451, 333, 20, 16, 0], [1, 3, 96, 69, 1056, 418, 3069, 858, 2937, 583, 946, 113, 86, 4, 1], [1, 3, 96, 70, 1045, 473, 2904, 1188, 2475, 1045, 616, 278, 31, 15, 0], [1, 3, 97, 58, 1111, 253, 3399, 396, 3399, 253, 1111, 58, 97, 3, 1], [1, 3, 97, 59, 1100, 308, 3234, 726, 2937, 715, 781, 223, 42, 14, 0], [1, 3, 98, 48, 1155, 143, 3564, 264, 3399, 385, 946, 168, 53, 13, 0], [1, 4, 80, 179, 616, 1573, 957, 3630, 297, 2398, 66, 399, 30, 9, 1], [1, 4, 81, 168, 671, 1408, 1287, 3168, 759, 2068, 231, 344, 41, 8, 1], [1, 4, 82, 157, 726, 1243, 1617, 2706, 1221, 1738, 396, 289, 52, 7, 1], [1, 4, 83, 146, 781, 1078, 1947, 2244, 1683, 1408, 561, 234, 63, 6, 1], [1, 4, 83, 147, 770, 1133, 1782, 2574, 1221, 1870, 231, 399, 8, 17, 0], [1, 4, 84, 135, 836, 913, 2277, 1782, 2145, 1078, 726, 179, 74, 5, 1], [1, 4, 84, 136, 825, 968, 2112, 2112, 1683, 1540, 396, 344, 19, 16, 0], [1, 4, 85, 124, 891, 748, 2607, 1320, 2607, 748, 891, 124, 85, 4, 1], [1, 4, 85, 125, 880, 803, 2442, 1650, 2145, 1210, 561, 289, 30, 15, 0], [1, 4, 86, 113, 946, 583, 2937, 858, 3069, 418, 1056, 69, 96, 3, 1], [1, 4, 86, 114, 935, 638, 2772, 1188, 2607, 880, 726, 234, 41, 14, 0], [1, 4, 87, 102, 1001, 418, 3267, 396, 3531, 88, 1221, 14, 107, 2, 1], [1, 4, 87, 103, 990, 473, 3102, 726, 3069, 550, 891, 179, 52, 13, 0], [1, 4, 88, 92, 1045, 308, 3432, 264, 3531, 220, 1056, 124, 63, 12, 0], [1, 5, 70, 223, 506, 1738, 825, 3630, 429, 2233, 176, 355, 40, 8, 1], [1, 5, 71, 212, 561, 1573, 1155, 3168, 891, 1903, 341, 300, 51, 7, 1], [1, 5, 72, 201, 616, 1408, 1485, 2706, 1353, 1573, 506, 245, 62, 6, 1], [1, 5, 72, 202, 605, 1463, 1320, 3036, 891, 2035, 176, 410, 7, 17, 0], [1, 5, 73, 190, 671, 1243, 1815, 2244, 1815, 1243, 671, 190, 73, 5, 1], [1, 5, 73, 191, 660, 1298, 1650, 2574, 1353, 1705, 341, 355, 18, 16, 0], [1, 5, 74, 179, 726, 1078, 2145, 1782, 2277, 913, 836, 135, 84, 4, 1], [1, 5, 74, 180, 715, 1133, 1980, 2112, 1815, 1375, 506, 300, 29, 15, 0], [1, 5, 75, 168, 781, 913, 2475, 1320, 2739, 583, 1001, 80, 95, 3, 1], [1, 5, 75, 169, 770, 968, 2310, 1650, 2277, 1045, 671, 245, 40, 14, 0], [1, 5, 76, 157, 836, 748, 2805, 858, 3201, 253, 1166, 25, 106, 2, 1], [1, 5, 76, 158, 825, 803, 2640, 1188, 2739, 715, 836, 190, 51, 13, 0], [1, 5, 77, 147, 880, 638, 2970, 726, 3201, 385, 1001, 135, 62, 12, 0], [1, 5, 78, 136, 935, 473, 3300, 264, 3663, 55, 1166, 80, 73, 11, 0], [1, 6, 59, 278, 341, 2068, 363, 4092, 99, 2398, 121, 366, 39, 8, 1], [1, 6, 60, 267, 396, 1903, 693, 3630, 561, 2068, 286, 311, 50, 7, 1], [1, 6, 61, 256, 451, 1738, 1023, 3168, 1023, 1738, 451, 256, 61, 6, 1], [1, 6, 61, 257, 440, 1793, 858, 3498, 561, 2200, 121, 421, 6, 17, 0], [1, 6, 62, 245, 506, 1573, 1353, 2706, 1485, 1408, 616, 201, 72, 5, 1], [1, 6, 62, 246, 495, 1628, 1188, 3036, 1023, 1870, 286, 366, 17, 16, 0], [1, 6, 63, 234, 561, 1408, 1683, 2244, 1947, 1078, 781, 146, 83, 4, 1], [1, 6, 63, 235, 550, 1463, 1518, 2574, 1485, 1540, 451, 311, 28, 15, 0], [1, 6, 64, 223, 616, 1243, 2013, 1782, 2409, 748, 946, 91, 94, 3, 1], [1, 6, 64, 224, 605, 1298, 1848, 2112, 1947, 1210, 616, 256, 39, 14, 0], [1, 6, 65, 212, 671, 1078, 2343, 1320, 2871, 418, 1111, 36, 105, 2, 1], [1, 6, 65, 213, 660, 1133, 2178, 1650, 2409, 880, 781, 201, 50, 13, 0], [1, 6, 66, 202, 715, 968, 2508, 1188, 2871, 550, 946, 146, 61, 12, 0], [1, 6, 67, 191, 770, 803, 2838, 726, 3333, 220, 1111, 91, 72, 11, 0], [1, 7, 49, 322, 231, 2233, 231, 4092, 231, 2233, 231, 322, 49, 7, 1], [1, 7, 50, 311, 286, 2068, 561, 3630, 693, 1903, 396, 267, 60, 6, 1], [1, 7, 50, 312, 275, 2123, 396, 3960, 231, 2365, 66, 432, 5, 17, 0], [1, 7, 51, 300, 341, 1903, 891, 3168, 1155, 1573, 561, 212, 71, 5, 1], [1, 7, 51, 301, 330, 1958, 726, 3498, 693, 2035, 231, 377, 16, 16, 0], [1, 7, 52, 289, 396, 1738, 1221, 2706, 1617, 1243, 726, 157, 82, 4, 1], [1, 7, 52, 290, 385, 1793, 1056, 3036, 1155, 1705, 396, 322, 27, 15, 0], [1, 7, 53, 278, 451, 1573, 1551, 2244, 2079, 913, 891, 102, 93, 3, 1], [1, 7, 53, 279, 440, 1628, 1386, 2574, 1617, 1375, 561, 267, 38, 14, 0], [1, 7, 54, 267, 506, 1408, 1881, 1782, 2541, 583, 1056, 47, 104, 2, 1], [1, 7, 54, 268, 495, 1463, 1716, 2112, 2079, 1045, 726, 212, 49, 13, 0], [1, 7, 55, 257, 550, 1298, 2046, 1650, 2541, 715, 891, 157, 60, 12, 0], [1, 7, 56, 246, 605, 1133, 2376, 1188, 3003, 385, 1056, 102, 71, 11, 0], [1, 7, 57, 235, 660, 968, 2706, 726, 3465, 55, 1221, 47, 82, 10, 0], [1, 8, 39, 366, 121, 2398, 99, 4092, 363, 2068, 341, 278, 59, 6, 1], [1, 8, 40, 355, 176, 2233, 429, 3630, 825, 1738, 506, 223, 70, 5, 1], [1, 8, 40, 356, 165, 2288, 264, 3960, 363, 2200, 176, 388, 15, 16, 0], [1, 8, 41, 344, 231, 2068, 759, 3168, 1287, 1408, 671, 168, 81, 4, 1], [1, 8, 41, 345, 220, 2123, 594, 3498, 825, 1870, 341, 333, 26, 15, 0], [1, 8, 42, 333, 286, 1903, 1089, 2706, 1749, 1078, 836, 113, 92, 3, 1], [1, 8, 42, 334, 275, 1958, 924, 3036, 1287, 1540, 506, 278, 37, 14, 0], [1, 8, 43, 322, 341, 1738, 1419, 2244, 2211, 748, 1001, 58, 103, 2, 1], [1, 8, 43, 323, 330, 1793, 1254, 2574, 1749, 1210, 671, 223, 48, 13, 0], [1, 8, 44, 311, 396, 1573, 1749, 1782, 2673, 418, 1166, 3, 114, 1, 1], [1, 8, 44, 312, 385, 1628, 1584, 2112, 2211, 880, 836, 168, 59, 12, 0], [1, 8, 45, 301, 440, 1463, 1914, 1650, 2673, 550, 1001, 113, 70, 11, 0], [1, 8, 46, 290, 495, 1298, 2244, 1188, 3135, 220, 1166, 58, 81, 10, 0], [1, 9, 30, 399, 66, 2398, 297, 3630, 957, 1573, 616, 179, 80, 4, 1], [1, 9, 30, 400, 55, 2453, 132, 3960, 495, 2035, 286, 344, 25, 15, 0], [1, 9, 31, 388, 121, 2233, 627, 3168, 1419, 1243, 781, 124, 91, 3, 1], [1, 9, 31, 389, 110, 2288, 462, 3498, 957, 1705, 451, 289, 36, 14, 0], [1, 9, 32, 377, 176, 2068, 957, 2706, 1881, 913, 946, 69, 102, 2, 1], [1, 9, 32, 378, 165, 2123, 792, 3036, 1419, 1375, 616, 234, 47, 13, 0], [1, 9, 33, 366, 231, 1903, 1287, 2244, 2343, 583, 1111, 14, 113, 1, 1], [1, 9, 33, 367, 220, 1958, 1122, 2574, 1881, 1045, 781, 179, 58, 12, 0], [1, 9, 34, 356, 275, 1793, 1452, 2112, 2343, 715, 946, 124, 69, 11, 0], [1, 9, 35, 345, 330, 1628, 1782, 1650, 2805, 385, 1111, 69, 80, 10, 0], [1, 9, 36, 334, 385, 1463, 2112, 1188, 3267, 55, 1276, 14, 91, 9, 0], [1, 10, 21, 432, 11, 2398, 495, 3168, 1551, 1078, 891, 80, 101, 2, 1], [1, 10, 21, 433, 0, 2453, 330, 3498, 1089, 1540, 561, 245, 46, 13, 0], [1, 10, 22, 421, 66, 2233, 825, 2706, 2013, 748, 1056, 25, 112, 1, 1], [1, 10, 22, 422, 55, 2288, 660, 3036, 1551, 1210, 726, 190, 57, 12, 0], [1, 10, 23, 411, 110, 2123, 990, 2574, 2013, 880, 891, 135, 68, 11, 0], [1, 10, 24, 400, 165, 1958, 1320, 2112, 2475, 550, 1056, 80, 79, 10, 0], [1, 10, 25, 389, 220, 1793, 1650, 1650, 2937, 220, 1221, 25, 90, 9, 0], [1, 11, 13, 455, 0, 2288, 858, 2574, 2145, 715, 1001, 91, 78, 10, 0], [1, 11, 14, 444, 55, 2123, 1188, 2112, 2607, 385, 1166, 36, 89, 9, 0], [2, 0, 64, 333, 121, 2431, 165, 3762, 924, 1518, 682, 145, 89, 3, 1], [2, 0, 64, 334, 110, 2486, 0, 4092, 462, 1980, 352, 310, 34, 14, 0], [2, 0, 65, 322, 176, 2266, 495, 3300, 1386, 1188, 847, 90, 100, 2, 1], [2, 0, 65, 323, 165, 2321, 330, 3630, 924, 1650, 517, 255, 45, 13, 0], [2, 0, 66, 311, 231, 2101, 825, 2838, 1848, 858, 1012, 35, 111, 1, 1], [2, 0, 66, 312, 220, 2156, 660, 3168, 1386, 1320, 682, 200, 56, 12, 0], [2, 0, 67, 301, 275, 1991, 990, 2706, 1848, 990, 847, 145, 67, 11, 0], [2, 0, 68, 290, 330, 1826, 1320, 2244, 2310, 660, 1012, 90, 78, 10, 0], [2, 0, 69, 279, 385, 1661, 1650, 1782, 2772, 330, 1177, 35, 89, 9, 0], [2, 1, 54, 377, 11, 2596, 33, 3762, 1056, 1353, 792, 101, 99, 2, 1], [2, 1, 55, 366, 66, 2431, 363, 3300, 1518, 1023, 957, 46, 110, 1, 1], [2, 1, 55, 367, 55, 2486, 198, 3630, 1056, 1485, 627, 211, 55, 12, 0], [2, 1, 56, 356, 110, 2321, 528, 3168, 1518, 1155, 792, 156, 66, 11, 0], [2, 1, 57, 345, 165, 2156, 858, 2706, 1980, 825, 957, 101, 77, 10, 0], [2, 1, 58, 334, 220, 1991, 1188, 2244, 2442, 495, 1122, 46, 88, 9, 0], [2, 2, 46, 400, 0, 2486, 396, 3168, 1650, 990, 902, 112, 76, 10, 0], [2, 2, 47, 389, 55, 2321, 726, 2706, 2112, 660, 1067, 57, 87, 9, 0], [2, 2, 48, 378, 110, 2156, 1056, 2244, 2574, 330, 1232, 2, 98, 8, 0]} (15, 10240, 10) has 195 possible DDs: {[1, 0, 35, 226, 12, 1969, 0, 3465, 1353, 1386, 1419, 100, 250, 21, 2, 1], [1, 0, 36, 215, 67, 1804, 330, 3003, 1815, 1056, 1584, 45, 261, 20, 2, 1], [1, 0, 36, 216, 56, 1859, 165, 3333, 1353, 1518, 1254, 210, 206, 31, 1, 1], [1, 0, 36, 217, 45, 1914, 0, 3663, 891, 1980, 924, 375, 151, 42, 0, 1], [1, 0, 37, 205, 111, 1694, 495, 2871, 1815, 1188, 1419, 155, 217, 30, 1, 1], [1, 0, 37, 206, 100, 1749, 330, 3201, 1353, 1650, 1089, 320, 162, 41, 0, 1], [1, 0, 37, 208, 79, 1848, 55, 3696, 759, 2112, 891, 320, 217, 8, 9, 0], [1, 0, 38, 194, 166, 1529, 825, 2409, 2277, 858, 1584, 100, 228, 29, 1, 1], [1, 0, 38, 195, 155, 1584, 660, 2739, 1815, 1320, 1254, 265, 173, 40, 0, 1], [1, 0, 38, 197, 134, 1683, 385, 3234, 1221, 1782, 1056, 265, 228, 7, 9, 0], [1, 0, 38, 198, 123, 1738, 220, 3564, 759, 2244, 726, 430, 173, 18, 8, 0], [1, 0, 38, 199, 112, 1793, 55, 3894, 297, 2706, 396, 595, 118, 29, 7, 0], [1, 0, 39, 183, 221, 1364, 1155, 1947, 2739, 528, 1749, 45, 239, 28, 1, 1], [1, 0, 39, 184, 210, 1419, 990, 2277, 2277, 990, 1419, 210, 184, 39, 0, 1], [1, 0, 39, 186, 189, 1518, 715, 2772, 1683, 1452, 1221, 210, 239, 6, 9, 0], [1, 0, 39, 187, 178, 1573, 550, 3102, 1221, 1914, 891, 375, 184, 17, 8, 0], [1, 0, 39, 188, 167, 1628, 385, 3432, 759, 2376, 561, 540, 129, 28, 7, 0], [1, 0, 39, 189, 156, 1683, 220, 3762, 297, 2838, 231, 705, 74, 39, 6, 0], [1, 0, 40, 173, 265, 1254, 1320, 1815, 2739, 660, 1584, 155, 195, 38, 0, 1], [1, 0, 40, 175, 244, 1353, 1045, 2310, 2145, 1122, 1386, 155, 250, 5, 9, 0], [1, 0, 40, 176, 233, 1408, 880, 2640, 1683, 1584, 1056, 320, 195, 16, 8, 0], [1, 0, 40, 177, 222, 1463, 715, 2970, 1221, 2046, 726, 485, 140, 27, 7, 0], [1, 0, 40, 178, 211, 1518, 550, 3300, 759, 2508, 396, 650, 85, 38, 6, 0], [1, 0, 40, 179, 200, 1573, 385, 3630, 297, 2970, 66, 815, 30, 49, 5, 0], [1, 0, 41, 162, 320, 1089, 1650, 1353, 3201, 330, 1749, 100, 206, 37, 0, 1], [1, 0, 41, 164, 299, 1188, 1375, 1848, 2607, 792, 1551, 100, 261, 4, 9, 0], [1, 0, 41, 165, 288, 1243, 1210, 2178, 2145, 1254, 1221, 265, 206, 15, 8, 0], [1, 0, 41, 166, 277, 1298, 1045, 2508, 1683, 1716, 891, 430, 151, 26, 7, 0], [1, 0, 41, 167, 266, 1353, 880, 2838, 1221, 2178, 561, 595, 96, 37, 6, 0], [1, 0, 41, 168, 255, 1408, 715, 3168, 759, 2640, 231, 760, 41, 48, 5, 0], [1, 0, 42, 151, 375, 924, 1980, 891, 3663, 0, 1914, 45, 217, 36, 0, 1], [1, 0, 42, 153, 354, 1023, 1705, 1386, 3069, 462, 1716, 45, 272, 3, 9, 0], [1, 0, 42, 154, 343, 1078, 1540, 1716, 2607, 924, 1386, 210, 217, 14, 8, 0], [1, 0, 42, 155, 332, 1133, 1375, 2046, 2145, 1386, 1056, 375, 162, 25, 7, 0], [1, 0, 42, 156, 321, 1188, 1210, 2376, 1683, 1848, 726, 540, 107, 36, 6, 0], [1, 0, 42, 157, 310, 1243, 1045, 2706, 1221, 2310, 396, 705, 52, 47, 5, 0], [1, 0, 43, 143, 398, 913, 1870, 1254, 3069, 594, 1551, 155, 228, 13, 8, 0], [1, 0, 43, 144, 387, 968, 1705, 1584, 2607, 1056, 1221, 320, 173, 24, 7, 0], [1, 0, 43, 145, 376, 1023, 1540, 1914, 2145, 1518, 891, 485, 118, 35, 6, 0], [1, 0, 43, 146, 365, 1078, 1375, 2244, 1683, 1980, 561, 650, 63, 46, 5, 0], [1, 0, 43, 147, 354, 1133, 1210, 2574, 1221, 2442, 231, 815, 8, 57, 4, 0], [1, 0, 44, 132, 453, 748, 2200, 792, 3531, 264, 1716, 100, 239, 12, 8, 0], [1, 0, 44, 133, 442, 803, 2035, 1122, 3069, 726, 1386, 265, 184, 23, 7, 0], [1, 0, 44, 134, 431, 858, 1870, 1452, 2607, 1188, 1056, 430, 129, 34, 6, 0], [1, 0, 44, 135, 420, 913, 1705, 1782, 2145, 1650, 726, 595, 74, 45, 5, 0], [1, 0, 44, 136, 409, 968, 1540, 2112, 1683, 2112, 396, 760, 19, 56, 4, 0], [1, 0, 45, 122, 497, 638, 2365, 660, 3531, 396, 1551, 210, 195, 22, 7, 0], [1, 0, 45, 123, 486, 693, 2200, 990, 3069, 858, 1221, 375, 140, 33, 6, 0], [1, 0, 45, 124, 475, 748, 2035, 1320, 2607, 1320, 891, 540, 85, 44, 5, 0], [1, 0, 45, 125, 464, 803, 1870, 1650, 2145, 1782, 561, 705, 30, 55, 4, 0], [1, 0, 46, 111, 552, 473, 2695, 198, 3993, 66, 1716, 155, 206, 21, 7, 0], [1, 0, 46, 112, 541, 528, 2530, 528, 3531, 528, 1386, 320, 151, 32, 6, 0], [1, 0, 46, 113, 530, 583, 2365, 858, 3069, 990, 1056, 485, 96, 43, 5, 0], [1, 0, 46, 114, 519, 638, 2200, 1188, 2607, 1452, 726, 650, 41, 54, 4, 0], [1, 0, 47, 101, 596, 363, 2860, 66, 3993, 198, 1551, 265, 162, 31, 6, 0], [1, 0, 47, 102, 585, 418, 2695, 396, 3531, 660, 1221, 430, 107, 42, 5, 0], [1, 0, 47, 103, 574, 473, 2530, 726, 3069, 1122, 891, 595, 52, 53, 4, 0], [1, 0, 48, 92, 629, 308, 2860, 264, 3531, 792, 1056, 540, 63, 52, 4, 0], [1, 0, 48, 93, 618, 363, 2695, 594, 3069, 1254, 726, 705, 8, 63, 3, 0], [1, 0, 49, 82, 673, 198, 3025, 132, 3531, 924, 891, 650, 19, 62, 3, 0], [1, 1, 27, 249, 1, 1859, 363, 2871, 1947, 1023, 1529, 111, 227, 29, 1, 1], [1, 1, 28, 238, 56, 1694, 693, 2409, 2409, 693, 1694, 56, 238, 28, 1, 1], [1, 1, 28, 239, 45, 1749, 528, 2739, 1947, 1155, 1364, 221, 183, 39, 0, 1], [1, 1, 28, 241, 24, 1848, 253, 3234, 1353, 1617, 1166, 221, 238, 6, 9, 0], [1, 1, 28, 242, 13, 1903, 88, 3564, 891, 2079, 836, 386, 183, 17, 8, 0], [1, 1, 29, 227, 111, 1529, 1023, 1947, 2871, 363, 1859, 1, 249, 27, 1, 1], [1, 1, 29, 228, 100, 1584, 858, 2277, 2409, 825, 1529, 166, 194, 38, 0, 1], [1, 1, 29, 230, 79, 1683, 583, 2772, 1815, 1287, 1331, 166, 249, 5, 9, 0], [1, 1, 29, 231, 68, 1738, 418, 3102, 1353, 1749, 1001, 331, 194, 16, 8, 0], [1, 1, 29, 232, 57, 1793, 253, 3432, 891, 2211, 671, 496, 139, 27, 7, 0], [1, 1, 29, 233, 46, 1848, 88, 3762, 429, 2673, 341, 661, 84, 38, 6, 0], [1, 1, 30, 217, 155, 1419, 1188, 1815, 2871, 495, 1694, 111, 205, 37, 0, 1], [1, 1, 30, 219, 134, 1518, 913, 2310, 2277, 957, 1496, 111, 260, 4, 9, 0], [1, 1, 30, 220, 123, 1573, 748, 2640, 1815, 1419, 1166, 276, 205, 15, 8, 0], [1, 1, 30, 221, 112, 1628, 583, 2970, 1353, 1881, 836, 441, 150, 26, 7, 0], [1, 1, 30, 222, 101, 1683, 418, 3300, 891, 2343, 506, 606, 95, 37, 6, 0], [1, 1, 30, 223, 90, 1738, 253, 3630, 429, 2805, 176, 771, 40, 48, 5, 0], [1, 1, 31, 206, 210, 1254, 1518, 1353, 3333, 165, 1859, 56, 216, 36, 0, 1], [1, 1, 31, 208, 189, 1353, 1243, 1848, 2739, 627, 1661, 56, 271, 3, 9, 0], [1, 1, 31, 209, 178, 1408, 1078, 2178, 2277, 1089, 1331, 221, 216, 14, 8, 0], [1, 1, 31, 210, 167, 1463, 913, 2508, 1815, 1551, 1001, 386, 161, 25, 7, 0], [1, 1, 31, 211, 156, 1518, 748, 2838, 1353, 2013, 671, 551, 106, 36, 6, 0], [1, 1, 31, 212, 145, 1573, 583, 3168, 891, 2475, 341, 716, 51, 47, 5, 0], [1, 1, 32, 197, 244, 1188, 1573, 1386, 3201, 297, 1826, 1, 282, 2, 9, 0], [1, 1, 32, 198, 233, 1243, 1408, 1716, 2739, 759, 1496, 166, 227, 13, 8, 0], [1, 1, 32, 199, 222, 1298, 1243, 2046, 2277, 1221, 1166, 331, 172, 24, 7, 0], [1, 1, 32, 200, 211, 1353, 1078, 2376, 1815, 1683, 836, 496, 117, 35, 6, 0], [1, 1, 32, 201, 200, 1408, 913, 2706, 1353, 2145, 506, 661, 62, 46, 5, 0], [1, 1, 32, 202, 189, 1463, 748, 3036, 891, 2607, 176, 826, 7, 57, 4, 0], [1, 1, 33, 187, 288, 1078, 1738, 1254, 3201, 429, 1661, 111, 238, 12, 8, 0], [1, 1, 33, 188, 277, 1133, 1573, 1584, 2739, 891, 1331, 276, 183, 23, 7, 0], [1, 1, 33, 189, 266, 1188, 1408, 1914, 2277, 1353, 1001, 441, 128, 34, 6, 0], [1, 1, 33, 190, 255, 1243, 1243, 2244, 1815, 1815, 671, 606, 73, 45, 5, 0], [1, 1, 33, 191, 244, 1298, 1078, 2574, 1353, 2277, 341, 771, 18, 56, 4, 0], [1, 1, 34, 176, 343, 913, 2068, 792, 3663, 99, 1826, 56, 249, 11, 8, 0], [1, 1, 34, 177, 332, 968, 1903, 1122, 3201, 561, 1496, 221, 194, 22, 7, 0], [1, 1, 34, 178, 321, 1023, 1738, 1452, 2739, 1023, 1166, 386, 139, 33, 6, 0], [1, 1, 34, 179, 310, 1078, 1573, 1782, 2277, 1485, 836, 551, 84, 44, 5, 0], [1, 1, 34, 180, 299, 1133, 1408, 2112, 1815, 1947, 506, 716, 29, 55, 4, 0], [1, 1, 35, 166, 387, 803, 2233, 660, 3663, 231, 1661, 166, 205, 21, 7, 0], [1, 1, 35, 167, 376, 858, 2068, 990, 3201, 693, 1331, 331, 150, 32, 6, 0], [1, 1, 35, 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0], [1, 2, 22, 246, 79, 1628, 616, 3036, 1023, 2442, 286, 782, 17, 56, 4, 0], [1, 2, 23, 231, 178, 1243, 1606, 1254, 3333, 264, 1771, 67, 248, 11, 8, 0], [1, 2, 23, 232, 167, 1298, 1441, 1584, 2871, 726, 1441, 232, 193, 22, 7, 0], [1, 2, 23, 233, 156, 1353, 1276, 1914, 2409, 1188, 1111, 397, 138, 33, 6, 0], [1, 2, 23, 234, 145, 1408, 1111, 2244, 1947, 1650, 781, 562, 83, 44, 5, 0], [1, 2, 23, 235, 134, 1463, 946, 2574, 1485, 2112, 451, 727, 28, 55, 4, 0], [1, 2, 24, 221, 222, 1133, 1771, 1122, 3333, 396, 1606, 177, 204, 21, 7, 0], [1, 2, 24, 222, 211, 1188, 1606, 1452, 2871, 858, 1276, 342, 149, 32, 6, 0], [1, 2, 24, 223, 200, 1243, 1441, 1782, 2409, 1320, 946, 507, 94, 43, 5, 0], [1, 2, 24, 224, 189, 1298, 1276, 2112, 1947, 1782, 616, 672, 39, 54, 4, 0], [1, 2, 25, 210, 277, 968, 2101, 660, 3795, 66, 1771, 122, 215, 20, 7, 0], [1, 2, 25, 211, 266, 1023, 1936, 990, 3333, 528, 1441, 287, 160, 31, 6, 0], [1, 2, 25, 212, 255, 1078, 1771, 1320, 2871, 990, 1111, 452, 105, 42, 5, 0], [1, 2, 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