-------
(15, 11264, 10) ALL distance distributions for INTERNAL point
(10, 11264, 10) has 1 possible DDs: {[11, 110, 495, 1320, 2310, 2772, 2310, 1320, 495, 110, 11]}
(11, 11264, 10) has 11 possible DDs: {[1, 110, 55, 1650, 330, 4620, 462, 3300, 165, 550, 11, 10], [2, 99, 110, 1485, 660, 4158, 924, 2970, 330, 495, 22, 9], [3, 88, 165, 1320, 990, 3696, 1386, 2640, 495, 440, 33, 8], [4, 77, 220, 1155, 1320, 3234, 1848, 2310, 660, 385, 44, 7], [5, 66, 275, 990, 1650, 2772, 2310, 1980, 825, 330, 55, 6], [6, 55, 330, 825, 1980, 2310, 2772, 1650, 990, 275, 66, 5], [7, 44, 385, 660, 2310, 1848, 3234, 1320, 1155, 220, 77, 4], [8, 33, 440, 495, 2640, 1386, 3696, 990, 1320, 165, 88, 3], [9, 22, 495, 330, 2970, 924, 4158, 660, 1485, 110, 99, 2], [10, 11, 550, 165, 3300, 462, 4620, 330, 1650, 55, 110, 1], [11, 0, 605, 0, 3630, 0, 5082, 0, 1815, 0, 121, 0]}
(12, 11264, 10) has 31 possible DDs: {[1, 50, 110, 770, 1155, 2244, 2772, 1716, 1815, 330, 286, 10, 5], [1, 51, 99, 825, 990, 2574, 2310, 2178, 1485, 495, 231, 21, 4], [1, 52, 88, 880, 825, 2904, 1848, 2640, 1155, 660, 176, 32, 3], [1, 53, 77, 935, 660, 3234, 1386, 3102, 825, 825, 121, 43, 2], [1, 54, 66, 990, 495, 3564, 924, 3564, 495, 990, 66, 54, 1], [1, 55, 55, 1045, 330, 3894, 462, 4026, 165, 1155, 11, 65, 0], [2, 39, 165, 605, 1485, 1782, 3234, 1386, 1980, 275, 297, 9, 5], [2, 40, 154, 660, 1320, 2112, 2772, 1848, 1650, 440, 242, 20, 4], [2, 41, 143, 715, 1155, 2442, 2310, 2310, 1320, 605, 187, 31, 3], [2, 42, 132, 770, 990, 2772, 1848, 2772, 990, 770, 132, 42, 2], [2, 43, 121, 825, 825, 3102, 1386, 3234, 660, 935, 77, 53, 1], [2, 44, 110, 880, 660, 3432, 924, 3696, 330, 1100, 22, 64, 0], [3, 28, 220, 440, 1815, 1320, 3696, 1056, 2145, 220, 308, 8, 5], [3, 29, 209, 495, 1650, 1650, 3234, 1518, 1815, 385, 253, 19, 4], [3, 30, 198, 550, 1485, 1980, 2772, 1980, 1485, 550, 198, 30, 3], [3, 31, 187, 605, 1320, 2310, 2310, 2442, 1155, 715, 143, 41, 2], [3, 32, 176, 660, 1155, 2640, 1848, 2904, 825, 880, 88, 52, 1], [3, 33, 165, 715, 990, 2970, 1386, 3366, 495, 1045, 33, 63, 0], [4, 17, 275, 275, 2145, 858, 4158, 726, 2310, 165, 319, 7, 5], [4, 18, 264, 330, 1980, 1188, 3696, 1188, 1980, 330, 264, 18, 4], [4, 19, 253, 385, 1815, 1518, 3234, 1650, 1650, 495, 209, 29, 3], [4, 20, 242, 440, 1650, 1848, 2772, 2112, 1320, 660, 154, 40, 2], [4, 21, 231, 495, 1485, 2178, 2310, 2574, 990, 825, 99, 51, 1], [4, 22, 220, 550, 1320, 2508, 1848, 3036, 660, 990, 44, 62, 0], [5, 6, 330, 110, 2475, 396, 4620, 396, 2475, 110, 330, 6, 5], [5, 7, 319, 165, 2310, 726, 4158, 858, 2145, 275, 275, 17, 4], [5, 8, 308, 220, 2145, 1056, 3696, 1320, 1815, 440, 220, 28, 3], [5, 9, 297, 275, 1980, 1386, 3234, 1782, 1485, 605, 165, 39, 2], [5, 10, 286, 330, 1815, 1716, 2772, 2244, 1155, 770, 110, 50, 1], [5, 11, 275, 385, 1650, 2046, 2310, 2706, 825, 935, 55, 61, 0], [6, 0, 330, 220, 1980, 1584, 2772, 2376, 990, 880, 66, 60, 0]}
(13, 11264, 10) has 94 possible DDs: {[1, 16, 151, 143, 1760, 231, 4422, 462, 2937, 550, 451, 131, 6, 3], [1, 16, 152, 132, 1815, 66, 4752, 0, 3399, 220, 616, 76, 17, 2], [1, 17, 140, 198, 1595, 561, 3960, 924, 2607, 715, 396, 142, 5, 3], [1, 17, 141, 187, 1650, 396, 4290, 462, 3069, 385, 561, 87, 16, 2], [1, 17, 142, 176, 1705, 231, 4620, 0, 3531, 55, 726, 32, 27, 1], [1, 18, 129, 253, 1430, 891, 3498, 1386, 2277, 880, 341, 153, 4, 3], [1, 18, 130, 242, 1485, 726, 3828, 924, 2739, 550, 506, 98, 15, 2], [1, 18, 131, 231, 1540, 561, 4158, 462, 3201, 220, 671, 43, 26, 1], [1, 19, 118, 308, 1265, 1221, 3036, 1848, 1947, 1045, 286, 164, 3, 3], [1, 19, 119, 297, 1320, 1056, 3366, 1386, 2409, 715, 451, 109, 14, 2], [1, 19, 120, 286, 1375, 891, 3696, 924, 2871, 385, 616, 54, 25, 1], [1, 20, 107, 363, 1100, 1551, 2574, 2310, 1617, 1210, 231, 175, 2, 3], [1, 20, 108, 352, 1155, 1386, 2904, 1848, 2079, 880, 396, 120, 13, 2], [1, 20, 109, 341, 1210, 1221, 3234, 1386, 2541, 550, 561, 65, 24, 1], [1, 20, 110, 330, 1265, 1056, 3564, 924, 3003, 220, 726, 10, 35, 0], [1, 21, 96, 418, 935, 1881, 2112, 2772, 1287, 1375, 176, 186, 1, 3], [1, 21, 97, 407, 990, 1716, 2442, 2310, 1749, 1045, 341, 131, 12, 2], [1, 21, 98, 396, 1045, 1551, 2772, 1848, 2211, 715, 506, 76, 23, 1], [1, 21, 99, 385, 1100, 1386, 3102, 1386, 2673, 385, 671, 21, 34, 0], [1, 22, 85, 473, 770, 2211, 1650, 3234, 957, 1540, 121, 197, 0, 3], [1, 22, 86, 462, 825, 2046, 1980, 2772, 1419, 1210, 286, 142, 11, 2], [1, 22, 87, 451, 880, 1881, 2310, 2310, 1881, 880, 451, 87, 22, 1], [1, 22, 88, 440, 935, 1716, 2640, 1848, 2343, 550, 616, 32, 33, 0], [1, 23, 75, 517, 660, 2376, 1518, 3234, 1089, 1375, 231, 153, 10, 2], [1, 23, 76, 506, 715, 2211, 1848, 2772, 1551, 1045, 396, 98, 21, 1], [1, 23, 77, 495, 770, 2046, 2178, 2310, 2013, 715, 561, 43, 32, 0], [1, 24, 64, 572, 495, 2706, 1056, 3696, 759, 1540, 176, 164, 9, 2], [1, 24, 65, 561, 550, 2541, 1386, 3234, 1221, 1210, 341, 109, 20, 1], [1, 24, 66, 550, 605, 2376, 1716, 2772, 1683, 880, 506, 54, 31, 0], [1, 25, 53, 627, 330, 3036, 594, 4158, 429, 1705, 121, 175, 8, 2], [1, 25, 54, 616, 385, 2871, 924, 3696, 891, 1375, 286, 120, 19, 1], [1, 25, 55, 605, 440, 2706, 1254, 3234, 1353, 1045, 451, 65, 30, 0], [1, 26, 42, 682, 165, 3366, 132, 4620, 99, 1870, 66, 186, 7, 2], [1, 26, 43, 671, 220, 3201, 462, 4158, 561, 1540, 231, 131, 18, 1], [1, 26, 44, 660, 275, 3036, 792, 3696, 1023, 1210, 396, 76, 29, 0], [1, 27, 32, 726, 55, 3531, 0, 4620, 231, 1705, 176, 142, 17, 1], [1, 27, 33, 715, 110, 3366, 330, 4158, 693, 1375, 341, 87, 28, 0], [2, 6, 195, 33, 1925, 99, 4422, 594, 2772, 660, 407, 141, 5, 3], [2, 7, 184, 88, 1760, 429, 3960, 1056, 2442, 825, 352, 152, 4, 3], [2, 7, 185, 77, 1815, 264, 4290, 594, 2904, 495, 517, 97, 15, 2], [2, 7, 186, 66, 1870, 99, 4620, 132, 3366, 165, 682, 42, 26, 1], [2, 8, 173, 143, 1595, 759, 3498, 1518, 2112, 990, 297, 163, 3, 3], [2, 8, 174, 132, 1650, 594, 3828, 1056, 2574, 660, 462, 108, 14, 2], [2, 8, 175, 121, 1705, 429, 4158, 594, 3036, 330, 627, 53, 25, 1], [2, 9, 162, 198, 1430, 1089, 3036, 1980, 1782, 1155, 242, 174, 2, 3], [2, 9, 163, 187, 1485, 924, 3366, 1518, 2244, 825, 407, 119, 13, 2], [2, 9, 164, 176, 1540, 759, 3696, 1056, 2706, 495, 572, 64, 24, 1], [2, 9, 165, 165, 1595, 594, 4026, 594, 3168, 165, 737, 9, 35, 0], [2, 10, 151, 253, 1265, 1419, 2574, 2442, 1452, 1320, 187, 185, 1, 3], [2, 10, 152, 242, 1320, 1254, 2904, 1980, 1914, 990, 352, 130, 12, 2], [2, 10, 153, 231, 1375, 1089, 3234, 1518, 2376, 660, 517, 75, 23, 1], [2, 10, 154, 220, 1430, 924, 3564, 1056, 2838, 330, 682, 20, 34, 0], [2, 11, 140, 308, 1100, 1749, 2112, 2904, 1122, 1485, 132, 196, 0, 3], [2, 11, 141, 297, 1155, 1584, 2442, 2442, 1584, 1155, 297, 141, 11, 2], [2, 11, 142, 286, 1210, 1419, 2772, 1980, 2046, 825, 462, 86, 22, 1], [2, 11, 143, 275, 1265, 1254, 3102, 1518, 2508, 495, 627, 31, 33, 0], [2, 12, 130, 352, 990, 1914, 1980, 2904, 1254, 1320, 242, 152, 10, 2], [2, 12, 131, 341, 1045, 1749, 2310, 2442, 1716, 990, 407, 97, 21, 1], [2, 12, 132, 330, 1100, 1584, 2640, 1980, 2178, 660, 572, 42, 32, 0], [2, 13, 119, 407, 825, 2244, 1518, 3366, 924, 1485, 187, 163, 9, 2], [2, 13, 120, 396, 880, 2079, 1848, 2904, 1386, 1155, 352, 108, 20, 1], [2, 13, 121, 385, 935, 1914, 2178, 2442, 1848, 825, 517, 53, 31, 0], [2, 14, 108, 462, 660, 2574, 1056, 3828, 594, 1650, 132, 174, 8, 2], [2, 14, 109, 451, 715, 2409, 1386, 3366, 1056, 1320, 297, 119, 19, 1], [2, 14, 110, 440, 770, 2244, 1716, 2904, 1518, 990, 462, 64, 30, 0], [2, 15, 97, 517, 495, 2904, 594, 4290, 264, 1815, 77, 185, 7, 2], [2, 15, 98, 506, 550, 2739, 924, 3828, 726, 1485, 242, 130, 18, 1], [2, 15, 99, 495, 605, 2574, 1254, 3366, 1188, 1155, 407, 75, 29, 0], [2, 16, 87, 561, 385, 3069, 462, 4290, 396, 1650, 187, 141, 17, 1], [2, 16, 88, 550, 440, 2904, 792, 3828, 858, 1320, 352, 86, 28, 0], [2, 17, 76, 616, 220, 3399, 0, 4752, 66, 1815, 132, 152, 16, 1], [2, 17, 77, 605, 275, 3234, 330, 4290, 528, 1485, 297, 97, 27, 0], [3, 0, 195, 143, 1430, 1287, 2574, 2574, 1287, 1430, 143, 195, 0, 3], [3, 0, 196, 132, 1485, 1122, 2904, 2112, 1749, 1100, 308, 140, 11, 2], [3, 0, 197, 121, 1540, 957, 3234, 1650, 2211, 770, 473, 85, 22, 1], [3, 0, 198, 110, 1595, 792, 3564, 1188, 2673, 440, 638, 30, 33, 0], [3, 1, 185, 187, 1320, 1452, 2442, 2574, 1419, 1265, 253, 151, 10, 2], [3, 1, 186, 176, 1375, 1287, 2772, 2112, 1881, 935, 418, 96, 21, 1], [3, 1, 187, 165, 1430, 1122, 3102, 1650, 2343, 605, 583, 41, 32, 0], [3, 2, 174, 242, 1155, 1782, 1980, 3036, 1089, 1430, 198, 162, 9, 2], [3, 2, 175, 231, 1210, 1617, 2310, 2574, 1551, 1100, 363, 107, 20, 1], [3, 2, 176, 220, 1265, 1452, 2640, 2112, 2013, 770, 528, 52, 31, 0], [3, 3, 163, 297, 990, 2112, 1518, 3498, 759, 1595, 143, 173, 8, 2], [3, 3, 164, 286, 1045, 1947, 1848, 3036, 1221, 1265, 308, 118, 19, 1], [3, 3, 165, 275, 1100, 1782, 2178, 2574, 1683, 935, 473, 63, 30, 0], [3, 4, 152, 352, 825, 2442, 1056, 3960, 429, 1760, 88, 184, 7, 2], [3, 4, 153, 341, 880, 2277, 1386, 3498, 891, 1430, 253, 129, 18, 1], [3, 4, 154, 330, 935, 2112, 1716, 3036, 1353, 1100, 418, 74, 29, 0], [3, 5, 141, 407, 660, 2772, 594, 4422, 99, 1925, 33, 195, 6, 2], [3, 5, 142, 396, 715, 2607, 924, 3960, 561, 1595, 198, 140, 17, 1], [3, 5, 143, 385, 770, 2442, 1254, 3498, 1023, 1265, 363, 85, 28, 0], [3, 6, 131, 451, 550, 2937, 462, 4422, 231, 1760, 143, 151, 16, 1], [3, 6, 132, 440, 605, 2772, 792, 3960, 693, 1430, 308, 96, 27, 0], [3, 7, 121, 495, 440, 3102, 330, 4422, 363, 1595, 253, 107, 26, 0]}
(14, 11264, 10) has 203 possible DDs: {[1, 2, 118, 53, 1067, 1067, 1782, 3498, 495, 2640, 66, 417, 53, 3, 2], [1, 2, 119, 42, 1122, 902, 2112, 3036, 957, 2310, 231, 362, 64, 2, 2], [1, 2, 120, 31, 1177, 737, 2442, 2574, 1419, 1980, 396, 307, 75, 1, 2], [1, 2, 120, 32, 1166, 792, 2277, 2904, 957, 2442, 66, 472, 20, 12, 1], [1, 2, 121, 20, 1232, 572, 2772, 2112, 1881, 1650, 561, 252, 86, 0, 2], [1, 2, 121, 21, 1221, 627, 2607, 2442, 1419, 2112, 231, 417, 31, 11, 1], [1, 2, 122, 10, 1276, 462, 2937, 1980, 1881, 1782, 396, 362, 42, 10, 1], [1, 3, 107, 108, 902, 1397, 1320, 3960, 165, 2805, 11, 428, 52, 3, 2], [1, 3, 108, 97, 957, 1232, 1650, 3498, 627, 2475, 176, 373, 63, 2, 2], [1, 3, 109, 86, 1012, 1067, 1980, 3036, 1089, 2145, 341, 318, 74, 1, 2], [1, 3, 109, 87, 1001, 1122, 1815, 3366, 627, 2607, 11, 483, 19, 12, 1], [1, 3, 110, 75, 1067, 902, 2310, 2574, 1551, 1815, 506, 263, 85, 0, 2], [1, 3, 110, 76, 1056, 957, 2145, 2904, 1089, 2277, 176, 428, 30, 11, 1], [1, 3, 111, 65, 1111, 792, 2475, 2442, 1551, 1947, 341, 373, 41, 10, 1], [1, 3, 112, 54, 1166, 627, 2805, 1980, 2013, 1617, 506, 318, 52, 9, 1], [1, 3, 113, 43, 1221, 462, 3135, 1518, 2475, 1287, 671, 263, 63, 8, 1], [1, 3, 113, 44, 1210, 517, 2970, 1848, 2013, 1749, 341, 428, 8, 19, 0], [1, 3, 114, 32, 1276, 297, 3465, 1056, 2937, 957, 836, 208, 74, 7, 1], [1, 3, 114, 33, 1265, 352, 3300, 1386, 2475, 1419, 506, 373, 19, 18, 0], [1, 3, 115, 21, 1331, 132, 3795, 594, 3399, 627, 1001, 153, 85, 6, 1], [1, 3, 115, 22, 1320, 187, 3630, 924, 2937, 1089, 671, 318, 30, 17, 0], [1, 3, 116, 11, 1375, 22, 3960, 462, 3399, 759, 836, 263, 41, 16, 0], [1, 4, 97, 152, 792, 1562, 1188, 3960, 297, 2640, 121, 384, 62, 2, 2], [1, 4, 98, 141, 847, 1397, 1518, 3498, 759, 2310, 286, 329, 73, 1, 2], [1, 4, 99, 130, 902, 1232, 1848, 3036, 1221, 1980, 451, 274, 84, 0, 2], [1, 4, 99, 131, 891, 1287, 1683, 3366, 759, 2442, 121, 439, 29, 11, 1], [1, 4, 100, 120, 946, 1122, 2013, 2904, 1221, 2112, 286, 384, 40, 10, 1], [1, 4, 101, 109, 1001, 957, 2343, 2442, 1683, 1782, 451, 329, 51, 9, 1], [1, 4, 102, 98, 1056, 792, 2673, 1980, 2145, 1452, 616, 274, 62, 8, 1], [1, 4, 102, 99, 1045, 847, 2508, 2310, 1683, 1914, 286, 439, 7, 19, 0], [1, 4, 103, 87, 1111, 627, 3003, 1518, 2607, 1122, 781, 219, 73, 7, 1], [1, 4, 103, 88, 1100, 682, 2838, 1848, 2145, 1584, 451, 384, 18, 18, 0], [1, 4, 104, 76, 1166, 462, 3333, 1056, 3069, 792, 946, 164, 84, 6, 1], [1, 4, 104, 77, 1155, 517, 3168, 1386, 2607, 1254, 616, 329, 29, 17, 0], [1, 4, 105, 65, 1221, 297, 3663, 594, 3531, 462, 1111, 109, 95, 5, 1], [1, 4, 105, 66, 1210, 352, 3498, 924, 3069, 924, 781, 274, 40, 16, 0], [1, 4, 106, 54, 1276, 132, 3993, 132, 3993, 132, 1276, 54, 106, 4, 1], [1, 4, 106, 55, 1265, 187, 3828, 462, 3531, 594, 946, 219, 51, 15, 0], [1, 4, 107, 44, 1320, 22, 4158, 0, 3993, 264, 1111, 164, 62, 14, 0], [1, 5, 87, 196, 682, 1727, 1056, 3960, 429, 2475, 231, 340, 72, 1, 2], [1, 5, 88, 185, 737, 1562, 1386, 3498, 891, 2145, 396, 285, 83, 0, 2], [1, 5, 88, 186, 726, 1617, 1221, 3828, 429, 2607, 66, 450, 28, 11, 1], [1, 5, 89, 175, 781, 1452, 1551, 3366, 891, 2277, 231, 395, 39, 10, 1], [1, 5, 90, 164, 836, 1287, 1881, 2904, 1353, 1947, 396, 340, 50, 9, 1], [1, 5, 91, 153, 891, 1122, 2211, 2442, 1815, 1617, 561, 285, 61, 8, 1], [1, 5, 91, 154, 880, 1177, 2046, 2772, 1353, 2079, 231, 450, 6, 19, 0], [1, 5, 92, 142, 946, 957, 2541, 1980, 2277, 1287, 726, 230, 72, 7, 1], [1, 5, 92, 143, 935, 1012, 2376, 2310, 1815, 1749, 396, 395, 17, 18, 0], [1, 5, 93, 131, 1001, 792, 2871, 1518, 2739, 957, 891, 175, 83, 6, 1], [1, 5, 93, 132, 990, 847, 2706, 1848, 2277, 1419, 561, 340, 28, 17, 0], [1, 5, 94, 120, 1056, 627, 3201, 1056, 3201, 627, 1056, 120, 94, 5, 1], [1, 5, 94, 121, 1045, 682, 3036, 1386, 2739, 1089, 726, 285, 39, 16, 0], [1, 5, 95, 109, 1111, 462, 3531, 594, 3663, 297, 1221, 65, 105, 4, 1], [1, 5, 95, 110, 1100, 517, 3366, 924, 3201, 759, 891, 230, 50, 15, 0], [1, 5, 96, 99, 1155, 352, 3696, 462, 3663, 429, 1056, 175, 61, 14, 0], [1, 5, 97, 88, 1210, 187, 4026, 0, 4125, 99, 1221, 120, 72, 13, 0], [1, 6, 76, 251, 517, 2057, 594, 4422, 99, 2640, 176, 351, 71, 1, 2], [1, 6, 77, 240, 572, 1892, 924, 3960, 561, 2310, 341, 296, 82, 0, 2], [1, 6, 77, 241, 561, 1947, 759, 4290, 99, 2772, 11, 461, 27, 11, 1], [1, 6, 78, 230, 616, 1782, 1089, 3828, 561, 2442, 176, 406, 38, 10, 1], [1, 6, 79, 219, 671, 1617, 1419, 3366, 1023, 2112, 341, 351, 49, 9, 1], [1, 6, 80, 208, 726, 1452, 1749, 2904, 1485, 1782, 506, 296, 60, 8, 1], [1, 6, 80, 209, 715, 1507, 1584, 3234, 1023, 2244, 176, 461, 5, 19, 0], [1, 6, 81, 197, 781, 1287, 2079, 2442, 1947, 1452, 671, 241, 71, 7, 1], [1, 6, 81, 198, 770, 1342, 1914, 2772, 1485, 1914, 341, 406, 16, 18, 0], [1, 6, 82, 186, 836, 1122, 2409, 1980, 2409, 1122, 836, 186, 82, 6, 1], [1, 6, 82, 187, 825, 1177, 2244, 2310, 1947, 1584, 506, 351, 27, 17, 0], [1, 6, 83, 175, 891, 957, 2739, 1518, 2871, 792, 1001, 131, 93, 5, 1], [1, 6, 83, 176, 880, 1012, 2574, 1848, 2409, 1254, 671, 296, 38, 16, 0], [1, 6, 84, 164, 946, 792, 3069, 1056, 3333, 462, 1166, 76, 104, 4, 1], [1, 6, 84, 165, 935, 847, 2904, 1386, 2871, 924, 836, 241, 49, 15, 0], [1, 6, 85, 153, 1001, 627, 3399, 594, 3795, 132, 1331, 21, 115, 3, 1], [1, 6, 85, 154, 990, 682, 3234, 924, 3333, 594, 1001, 186, 60, 14, 0], [1, 6, 86, 143, 1045, 517, 3564, 462, 3795, 264, 1166, 131, 71, 13, 0], [1, 7, 66, 295, 407, 2222, 462, 4422, 231, 2475, 286, 307, 81, 0, 2], [1, 7, 67, 285, 451, 2112, 627, 4290, 231, 2607, 121, 417, 37, 10, 1], [1, 7, 68, 274, 506, 1947, 957, 3828, 693, 2277, 286, 362, 48, 9, 1], [1, 7, 69, 263, 561, 1782, 1287, 3366, 1155, 1947, 451, 307, 59, 8, 1], [1, 7, 69, 264, 550, 1837, 1122, 3696, 693, 2409, 121, 472, 4, 19, 0], [1, 7, 70, 252, 616, 1617, 1617, 2904, 1617, 1617, 616, 252, 70, 7, 1], [1, 7, 70, 253, 605, 1672, 1452, 3234, 1155, 2079, 286, 417, 15, 18, 0], [1, 7, 71, 241, 671, 1452, 1947, 2442, 2079, 1287, 781, 197, 81, 6, 1], [1, 7, 71, 242, 660, 1507, 1782, 2772, 1617, 1749, 451, 362, 26, 17, 0], [1, 7, 72, 230, 726, 1287, 2277, 1980, 2541, 957, 946, 142, 92, 5, 1], [1, 7, 72, 231, 715, 1342, 2112, 2310, 2079, 1419, 616, 307, 37, 16, 0], [1, 7, 73, 219, 781, 1122, 2607, 1518, 3003, 627, 1111, 87, 103, 4, 1], [1, 7, 73, 220, 770, 1177, 2442, 1848, 2541, 1089, 781, 252, 48, 15, 0], [1, 7, 74, 208, 836, 957, 2937, 1056, 3465, 297, 1276, 32, 114, 3, 1], [1, 7, 74, 209, 825, 1012, 2772, 1386, 3003, 759, 946, 197, 59, 14, 0], [1, 7, 75, 198, 880, 847, 3102, 924, 3465, 429, 1111, 142, 70, 13, 0], [1, 7, 76, 187, 935, 682, 3432, 462, 3927, 99, 1276, 87, 81, 12, 0], [1, 8, 57, 329, 341, 2277, 495, 4290, 363, 2442, 231, 373, 47, 9, 1], [1, 8, 58, 318, 396, 2112, 825, 3828, 825, 2112, 396, 318, 58, 8, 1], [1, 8, 58, 319, 385, 2167, 660, 4158, 363, 2574, 66, 483, 3, 19, 0], [1, 8, 59, 307, 451, 1947, 1155, 3366, 1287, 1782, 561, 263, 69, 7, 1], [1, 8, 59, 308, 440, 2002, 990, 3696, 825, 2244, 231, 428, 14, 18, 0], [1, 8, 60, 296, 506, 1782, 1485, 2904, 1749, 1452, 726, 208, 80, 6, 1], [1, 8, 60, 297, 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341, 2112, 1023, 3366, 1419, 1617, 671, 219, 79, 6, 1], [1, 9, 49, 352, 330, 2167, 858, 3696, 957, 2079, 341, 384, 24, 17, 0], [1, 9, 50, 340, 396, 1947, 1353, 2904, 1881, 1287, 836, 164, 90, 5, 1], [1, 9, 50, 341, 385, 2002, 1188, 3234, 1419, 1749, 506, 329, 35, 16, 0], [1, 9, 51, 329, 451, 1782, 1683, 2442, 2343, 957, 1001, 109, 101, 4, 1], [1, 9, 51, 330, 440, 1837, 1518, 2772, 1881, 1419, 671, 274, 46, 15, 0], [1, 9, 52, 318, 506, 1617, 2013, 1980, 2805, 627, 1166, 54, 112, 3, 1], [1, 9, 52, 319, 495, 1672, 1848, 2310, 2343, 1089, 836, 219, 57, 14, 0], [1, 9, 53, 308, 550, 1507, 2178, 1848, 2805, 759, 1001, 164, 68, 13, 0], [1, 9, 54, 297, 605, 1342, 2508, 1386, 3267, 429, 1166, 109, 79, 12, 0], [1, 9, 55, 286, 660, 1177, 2838, 924, 3729, 99, 1331, 54, 90, 11, 0], [1, 10, 37, 417, 121, 2607, 231, 4290, 627, 2112, 451, 285, 67, 7, 1], [1, 10, 37, 418, 110, 2662, 66, 4620, 165, 2574, 121, 450, 12, 18, 0], [1, 10, 38, 406, 176, 2442, 561, 3828, 1089, 1782, 616, 230, 78, 6, 1], [1, 10, 38, 407, 165, 2497, 396, 4158, 627, 2244, 286, 395, 23, 17, 0], [1, 10, 39, 395, 231, 2277, 891, 3366, 1551, 1452, 781, 175, 89, 5, 1], [1, 10, 39, 396, 220, 2332, 726, 3696, 1089, 1914, 451, 340, 34, 16, 0], [1, 10, 40, 384, 286, 2112, 1221, 2904, 2013, 1122, 946, 120, 100, 4, 1], [1, 10, 40, 385, 275, 2167, 1056, 3234, 1551, 1584, 616, 285, 45, 15, 0], [1, 10, 41, 373, 341, 1947, 1551, 2442, 2475, 792, 1111, 65, 111, 3, 1], [1, 10, 41, 374, 330, 2002, 1386, 2772, 2013, 1254, 781, 230, 56, 14, 0], [1, 10, 42, 362, 396, 1782, 1881, 1980, 2937, 462, 1276, 10, 122, 2, 1], [1, 10, 42, 363, 385, 1837, 1716, 2310, 2475, 924, 946, 175, 67, 13, 0], [1, 10, 43, 352, 440, 1672, 2046, 1848, 2937, 594, 1111, 120, 78, 12, 0], [1, 10, 44, 341, 495, 1507, 2376, 1386, 3399, 264, 1276, 65, 89, 11, 0], [1, 11, 27, 461, 11, 2772, 99, 4290, 759, 1947, 561, 241, 77, 6, 1], [1, 11, 28, 450, 66, 2607, 429, 3828, 1221, 1617, 726, 186, 88, 5, 1], [1, 11, 28, 451, 55, 2662, 264, 4158, 759, 2079, 396, 351, 33, 16, 0], [1, 11, 29, 439, 121, 2442, 759, 3366, 1683, 1287, 891, 131, 99, 4, 1], [1, 11, 29, 440, 110, 2497, 594, 3696, 1221, 1749, 561, 296, 44, 15, 0], [1, 11, 30, 428, 176, 2277, 1089, 2904, 2145, 957, 1056, 76, 110, 3, 1], [1, 11, 30, 429, 165, 2332, 924, 3234, 1683, 1419, 726, 241, 55, 14, 0], [1, 11, 31, 417, 231, 2112, 1419, 2442, 2607, 627, 1221, 21, 121, 2, 1], [1, 11, 31, 418, 220, 2167, 1254, 2772, 2145, 1089, 891, 186, 66, 13, 0], [1, 11, 32, 407, 275, 2002, 1584, 2310, 2607, 759, 1056, 131, 77, 12, 0], [1, 11, 33, 396, 330, 1837, 1914, 1848, 3069, 429, 1221, 76, 88, 11, 0], [1, 11, 34, 385, 385, 1672, 2244, 1386, 3531, 99, 1386, 21, 99, 10, 0], [1, 12, 19, 483, 11, 2607, 627, 3366, 1815, 1122, 1001, 87, 109, 3, 1], [1, 12, 19, 484, 0, 2662, 462, 3696, 1353, 1584, 671, 252, 54, 14, 0], [1, 12, 20, 472, 66, 2442, 957, 2904, 2277, 792, 1166, 32, 120, 2, 1], [1, 12, 20, 473, 55, 2497, 792, 3234, 1815, 1254, 836, 197, 65, 13, 0], [1, 12, 21, 462, 110, 2332, 1122, 2772, 2277, 924, 1001, 142, 76, 12, 0], [1, 12, 22, 451, 165, 2167, 1452, 2310, 2739, 594, 1166, 87, 87, 11, 0], [1, 12, 23, 440, 220, 2002, 1782, 1848, 3201, 264, 1331, 32, 98, 10, 0], [1, 13, 11, 506, 0, 2497, 990, 2772, 2409, 759, 1111, 98, 86, 11, 0], [1, 13, 12, 495, 55, 2332, 1320, 2310, 2871, 429, 1276, 43, 97, 10, 0], [2, 0, 81, 307, 286, 2475, 231, 4422, 462, 2222, 407, 295, 66, 7, 1], [2, 0, 81, 308, 275, 2530, 66, 4752, 0, 2684, 77, 460, 11, 18, 0], [2, 0, 82, 296, 341, 2310, 561, 3960, 924, 1892, 572, 240, 77, 6, 1], [2, 0, 82, 297, 330, 2365, 396, 4290, 462, 2354, 242, 405, 22, 17, 0], [2, 0, 83, 285, 396, 2145, 891, 3498, 1386, 1562, 737, 185, 88, 5, 1], [2, 0, 83, 286, 385, 2200, 726, 3828, 924, 2024, 407, 350, 33, 16, 0], [2, 0, 84, 274, 451, 1980, 1221, 3036, 1848, 1232, 902, 130, 99, 4, 1], [2, 0, 84, 275, 440, 2035, 1056, 3366, 1386, 1694, 572, 295, 44, 15, 0], [2, 0, 85, 263, 506, 1815, 1551, 2574, 2310, 902, 1067, 75, 110, 3, 1], [2, 0, 85, 264, 495, 1870, 1386, 2904, 1848, 1364, 737, 240, 55, 14, 0], [2, 0, 86, 252, 561, 1650, 1881, 2112, 2772, 572, 1232, 20, 121, 2, 1], [2, 0, 86, 253, 550, 1705, 1716, 2442, 2310, 1034, 902, 185, 66, 13, 0], [2, 0, 87, 242, 605, 1540, 2046, 1980, 2772, 704, 1067, 130, 77, 12, 0], [2, 0, 88, 231, 660, 1375, 2376, 1518, 3234, 374, 1232, 75, 88, 11, 0], [2, 0, 89, 220, 715, 1210, 2706, 1056, 3696, 44, 1397, 20, 99, 10, 0], [2, 1, 71, 351, 176, 2640, 99, 4422, 594, 2057, 517, 251, 76, 6, 1], [2, 1, 72, 340, 231, 2475, 429, 3960, 1056, 1727, 682, 196, 87, 5, 1], [2, 1, 72, 341, 220, 2530, 264, 4290, 594, 2189, 352, 361, 32, 16, 0], [2, 1, 73, 329, 286, 2310, 759, 3498, 1518, 1397, 847, 141, 98, 4, 1], [2, 1, 73, 330, 275, 2365, 594, 3828, 1056, 1859, 517, 306, 43, 15, 0], [2, 1, 74, 318, 341, 2145, 1089, 3036, 1980, 1067, 1012, 86, 109, 3, 1], [2, 1, 74, 319, 330, 2200, 924, 3366, 1518, 1529, 682, 251, 54, 14, 0], [2, 1, 75, 307, 396, 1980, 1419, 2574, 2442, 737, 1177, 31, 120, 2, 1], [2, 1, 75, 308, 385, 2035, 1254, 2904, 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858, 1859, 572, 273, 52, 14, 0], [2, 3, 53, 417, 66, 2640, 495, 3498, 1782, 1067, 1067, 53, 118, 2, 1], [2, 3, 53, 418, 55, 2695, 330, 3828, 1320, 1529, 737, 218, 63, 13, 0], [2, 3, 54, 407, 110, 2530, 660, 3366, 1782, 1199, 902, 163, 74, 12, 0], [2, 3, 55, 396, 165, 2365, 990, 2904, 2244, 869, 1067, 108, 85, 11, 0], [2, 3, 56, 385, 220, 2200, 1320, 2442, 2706, 539, 1232, 53, 96, 10, 0], [2, 4, 44, 451, 0, 2695, 528, 3366, 1914, 1034, 1012, 119, 84, 11, 0], [2, 4, 45, 440, 55, 2530, 858, 2904, 2376, 704, 1177, 64, 95, 10, 0], [2, 4, 46, 429, 110, 2365, 1188, 2442, 2838, 374, 1342, 9, 106, 9, 0]}
(15, 11264, 10) has 337 possible DDs: {[1, 0, 44, 216, 109, 1991, 220, 3597, 1683, 1342, 1716, 10, 319, 11, 4, 1], [1, 0, 44, 217, 98, 2046, 55, 3927, 1221, 1804, 1386, 175, 264, 22, 3, 1], [1, 0, 45, 206, 153, 1881, 385, 3465, 1683, 1474, 1551, 120, 275, 21, 3, 1], [1, 0, 45, 207, 142, 1936, 220, 3795, 1221, 1936, 1221, 285, 220, 32, 2, 1], [1, 0, 45, 208, 131, 1991, 55, 4125, 759, 2398, 891, 450, 165, 43, 1, 1], [1, 0, 46, 195, 208, 1716, 715, 3003, 2145, 1144, 1716, 65, 286, 20, 3, 1], [1, 0, 46, 196, 197, 1771, 550, 3333, 1683, 1606, 1386, 230, 231, 31, 2, 1], [1, 0, 46, 197, 186, 1826, 385, 3663, 1221, 2068, 1056, 395, 176, 42, 1, 1], [1, 0, 46, 198, 175, 1881, 220, 3993, 759, 2530, 726, 560, 121, 53, 0, 1], [1, 0, 46, 199, 165, 1925, 110, 4158, 627, 2530, 858, 395, 231, 9, 10, 0], [1, 0, 47, 184, 263, 1551, 1045, 2541, 2607, 814, 1881, 10, 297, 19, 3, 1], [1, 0, 47, 185, 252, 1606, 880, 2871, 2145, 1276, 1551, 175, 242, 30, 2, 1], [1, 0, 47, 186, 241, 1661, 715, 3201, 1683, 1738, 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110, 38, 7, 0], [1, 0, 50, 159, 341, 1485, 770, 3630, 627, 3058, 198, 835, 55, 49, 6, 0], [1, 0, 51, 142, 461, 1001, 2035, 1353, 3531, 418, 1881, 120, 231, 37, 1, 1], [1, 0, 51, 143, 450, 1056, 1870, 1683, 3069, 880, 1551, 285, 176, 48, 0, 1], [1, 0, 51, 144, 440, 1100, 1760, 1848, 2937, 880, 1683, 120, 286, 4, 10, 0], [1, 0, 51, 145, 429, 1155, 1595, 2178, 2475, 1342, 1353, 285, 231, 15, 9, 0], [1, 0, 51, 146, 418, 1210, 1430, 2508, 2013, 1804, 1023, 450, 176, 26, 8, 0], [1, 0, 51, 147, 407, 1265, 1265, 2838, 1551, 2266, 693, 615, 121, 37, 7, 0], [1, 0, 51, 148, 396, 1320, 1100, 3168, 1089, 2728, 363, 780, 66, 48, 6, 0], [1, 0, 51, 149, 385, 1375, 935, 3498, 627, 3190, 33, 945, 11, 59, 5, 0], [1, 0, 52, 131, 516, 836, 2365, 891, 3993, 88, 2046, 65, 242, 36, 1, 1], [1, 0, 52, 132, 505, 891, 2200, 1221, 3531, 550, 1716, 230, 187, 47, 0, 1], [1, 0, 52, 133, 495, 935, 2090, 1386, 3399, 550, 1848, 65, 297, 3, 10, 0], [1, 0, 52, 134, 484, 990, 1925, 1716, 2937, 1012, 1518, 230, 242, 14, 9, 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