------- (15, 11264, 10) ALL distance distributions (10, 11264, 10) has 1 possible DDs: {[11, 110, 495, 1320, 2310, 2772, 2310, 1320, 495, 110, 11]} (11, 11264, 10) has 12 possible DDs: {[0, 121, 0, 1815, 0, 5082, 0, 3630, 0, 605, 0, 11], [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 38 possible DDs: {[0, 60, 66, 880, 990, 2376, 2772, 1584, 1980, 220, 330, 0, 6], [0, 61, 55, 935, 825, 2706, 2310, 2046, 1650, 385, 275, 11, 5], [0, 62, 44, 990, 660, 3036, 1848, 2508, 1320, 550, 220, 22, 4], [0, 63, 33, 1045, 495, 3366, 1386, 2970, 990, 715, 165, 33, 3], [0, 64, 22, 1100, 330, 3696, 924, 3432, 660, 880, 110, 44, 2], [0, 65, 11, 1155, 165, 4026, 462, 3894, 330, 1045, 55, 55, 1], [0, 66, 0, 1210, 0, 4356, 0, 4356, 0, 1210, 0, 66, 0], [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 126 possible DDs: {[0, 26, 107, 253, 1595, 363, 4422, 330, 3102, 440, 495, 121, 7, 3], [0, 27, 96, 308, 1430, 693, 3960, 792, 2772, 605, 440, 132, 6, 3], [0, 27, 97, 297, 1485, 528, 4290, 330, 3234, 275, 605, 77, 17, 2], [0, 28, 85, 363, 1265, 1023, 3498, 1254, 2442, 770, 385, 143, 5, 3], [0, 28, 86, 352, 1320, 858, 3828, 792, 2904, 440, 550, 88, 16, 2], [0, 28, 87, 341, 1375, 693, 4158, 330, 3366, 110, 715, 33, 27, 1], [0, 29, 74, 418, 1100, 1353, 3036, 1716, 2112, 935, 330, 154, 4, 3], [0, 29, 75, 407, 1155, 1188, 3366, 1254, 2574, 605, 495, 99, 15, 2], [0, 29, 76, 396, 1210, 1023, 3696, 792, 3036, 275, 660, 44, 26, 1], [0, 30, 63, 473, 935, 1683, 2574, 2178, 1782, 1100, 275, 165, 3, 3], [0, 30, 64, 462, 990, 1518, 2904, 1716, 2244, 770, 440, 110, 14, 2], [0, 30, 65, 451, 1045, 1353, 3234, 1254, 2706, 440, 605, 55, 25, 1], [0, 30, 66, 440, 1100, 1188, 3564, 792, 3168, 110, 770, 0, 36, 0], [0, 31, 52, 528, 770, 2013, 2112, 2640, 1452, 1265, 220, 176, 2, 3], [0, 31, 53, 517, 825, 1848, 2442, 2178, 1914, 935, 385, 121, 13, 2], [0, 31, 54, 506, 880, 1683, 2772, 1716, 2376, 605, 550, 66, 24, 1], [0, 31, 55, 495, 935, 1518, 3102, 1254, 2838, 275, 715, 11, 35, 0], [0, 32, 41, 583, 605, 2343, 1650, 3102, 1122, 1430, 165, 187, 1, 3], [0, 32, 42, 572, 660, 2178, 1980, 2640, 1584, 1100, 330, 132, 12, 2], [0, 32, 43, 561, 715, 2013, 2310, 2178, 2046, 770, 495, 77, 23, 1], [0, 32, 44, 550, 770, 1848, 2640, 1716, 2508, 440, 660, 22, 34, 0], [0, 33, 30, 638, 440, 2673, 1188, 3564, 792, 1595, 110, 198, 0, 3], [0, 33, 31, 627, 495, 2508, 1518, 3102, 1254, 1265, 275, 143, 11, 2], [0, 33, 32, 616, 550, 2343, 1848, 2640, 1716, 935, 440, 88, 22, 1], [0, 33, 33, 605, 605, 2178, 2178, 2178, 2178, 605, 605, 33, 33, 0], [0, 34, 20, 682, 330, 2838, 1056, 3564, 924, 1430, 220, 154, 10, 2], [0, 34, 21, 671, 385, 2673, 1386, 3102, 1386, 1100, 385, 99, 21, 1], [0, 34, 22, 660, 440, 2508, 1716, 2640, 1848, 770, 550, 44, 32, 0], [0, 35, 9, 737, 165, 3168, 594, 4026, 594, 1595, 165, 165, 9, 2], [0, 35, 10, 726, 220, 3003, 924, 3564, 1056, 1265, 330, 110, 20, 1], [0, 35, 11, 715, 275, 2838, 1254, 3102, 1518, 935, 495, 55, 31, 0], [0, 36, 0, 770, 110, 3168, 792, 3564, 1188, 1100, 440, 66, 30, 0], [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 353 possible DDs: {[0, 9, 106, 9, 1342, 374, 2838, 2442, 1188, 2365, 110, 429, 46, 4, 2], [0, 10, 95, 64, 1177, 704, 2376, 2904, 858, 2530, 55, 440, 45, 4, 2], [0, 10, 96, 53, 1232, 539, 2706, 2442, 1320, 2200, 220, 385, 56, 3, 2], [0, 10, 97, 42, 1287, 374, 3036, 1980, 1782, 1870, 385, 330, 67, 2, 2], [0, 10, 97, 43, 1276, 429, 2871, 2310, 1320, 2332, 55, 495, 12, 13, 1], [0, 10, 98, 31, 1342, 209, 3366, 1518, 2244, 1540, 550, 275, 78, 1, 2], [0, 10, 98, 32, 1331, 264, 3201, 1848, 1782, 2002, 220, 440, 23, 12, 1], [0, 10, 99, 20, 1397, 44, 3696, 1056, 2706, 1210, 715, 220, 89, 0, 2], [0, 10, 99, 21, 1386, 99, 3531, 1386, 2244, 1672, 385, 385, 34, 11, 1], [0, 11, 84, 119, 1012, 1034, 1914, 3366, 528, 2695, 0, 451, 44, 4, 2], [0, 11, 85, 108, 1067, 869, 2244, 2904, 990, 2365, 165, 396, 55, 3, 2], [0, 11, 86, 97, 1122, 704, 2574, 2442, 1452, 2035, 330, 341, 66, 2, 2], [0, 11, 86, 98, 1111, 759, 2409, 2772, 990, 2497, 0, 506, 11, 13, 1], [0, 11, 87, 86, 1177, 539, 2904, 1980, 1914, 1705, 495, 286, 77, 1, 2], [0, 11, 87, 87, 1166, 594, 2739, 2310, 1452, 2167, 165, 451, 22, 12, 1], [0, 11, 88, 75, 1232, 374, 3234, 1518, 2376, 1375, 660, 231, 88, 0, 2], [0, 11, 88, 76, 1221, 429, 3069, 1848, 1914, 1837, 330, 396, 33, 11, 1], [0, 11, 89, 65, 1276, 264, 3399, 1386, 2376, 1507, 495, 341, 44, 10, 1], [0, 11, 90, 54, 1331, 99, 3729, 924, 2838, 1177, 660, 286, 55, 9, 1], [0, 11, 90, 55, 1320, 154, 3564, 1254, 2376, 1639, 330, 451, 0, 20, 0], [0, 12, 74, 163, 902, 1199, 1782, 3366, 660, 2530, 110, 407, 54, 3, 2], [0, 12, 75, 152, 957, 1034, 2112, 2904, 1122, 2200, 275, 352, 65, 2, 2], [0, 12, 76, 141, 1012, 869, 2442, 2442, 1584, 1870, 440, 297, 76, 1, 2], [0, 12, 76, 142, 1001, 924, 2277, 2772, 1122, 2332, 110, 462, 21, 12, 1], [0, 12, 77, 130, 1067, 704, 2772, 1980, 2046, 1540, 605, 242, 87, 0, 2], [0, 12, 77, 131, 1056, 759, 2607, 2310, 1584, 2002, 275, 407, 32, 11, 1], [0, 12, 78, 120, 1111, 594, 2937, 1848, 2046, 1672, 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8, 61, 286, 550, 1672, 1650, 2772, 1749, 1584, 561, 318, 36, 16, 0], [1, 8, 62, 274, 616, 1452, 2145, 1980, 2673, 792, 1056, 98, 102, 4, 1], [1, 8, 62, 275, 605, 1507, 1980, 2310, 2211, 1254, 726, 263, 47, 15, 0], [1, 8, 63, 263, 671, 1287, 2475, 1518, 3135, 462, 1221, 43, 113, 3, 1], [1, 8, 63, 264, 660, 1342, 2310, 1848, 2673, 924, 891, 208, 58, 14, 0], [1, 8, 64, 253, 715, 1177, 2640, 1386, 3135, 594, 1056, 153, 69, 13, 0], [1, 8, 65, 242, 770, 1012, 2970, 924, 3597, 264, 1221, 98, 80, 12, 0], [1, 9, 46, 384, 176, 2607, 33, 4752, 33, 2607, 176, 384, 46, 9, 1], [1, 9, 47, 373, 231, 2442, 363, 4290, 495, 2277, 341, 329, 57, 8, 1], [1, 9, 47, 374, 220, 2497, 198, 4620, 33, 2739, 11, 494, 2, 19, 0], [1, 9, 48, 362, 286, 2277, 693, 3828, 957, 1947, 506, 274, 68, 7, 1], [1, 9, 48, 363, 275, 2332, 528, 4158, 495, 2409, 176, 439, 13, 18, 0], [1, 9, 49, 351, 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, 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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, 1980, 1199, 847, 196, 65, 13, 0], [2, 1, 76, 297, 440, 1870, 1584, 2442, 2442, 869, 1012, 141, 76, 12, 0], [2, 1, 77, 286, 495, 1705, 1914, 1980, 2904, 539, 1177, 86, 87, 11, 0], [2, 1, 78, 275, 550, 1540, 2244, 1518, 3366, 209, 1342, 31, 98, 10, 0], [2, 2, 62, 384, 121, 2640, 297, 3960, 1188, 1562, 792, 152, 97, 4, 1], [2, 2, 62, 385, 110, 2695, 132, 4290, 726, 2024, 462, 317, 42, 15, 0], [2, 2, 63, 373, 176, 2475, 627, 3498, 1650, 1232, 957, 97, 108, 3, 1], [2, 2, 63, 374, 165, 2530, 462, 3828, 1188, 1694, 627, 262, 53, 14, 0], [2, 2, 64, 362, 231, 2310, 957, 3036, 2112, 902, 1122, 42, 119, 2, 1], [2, 2, 64, 363, 220, 2365, 792, 3366, 1650, 1364, 792, 207, 64, 13, 0], [2, 2, 65, 352, 275, 2200, 1122, 2904, 2112, 1034, 957, 152, 75, 12, 0], [2, 2, 66, 341, 330, 2035, 1452, 2442, 2574, 704, 1122, 97, 86, 11, 0], [2, 2, 67, 330, 385, 1870, 1782, 1980, 3036, 374, 1287, 42, 97, 10, 0], [2, 3, 52, 428, 11, 2805, 165, 3960, 1320, 1397, 902, 108, 107, 3, 1], [2, 3, 52, 429, 0, 2860, 0, 4290, 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 944 possible DDs: {[0, 2, 77, 5, 681, 1188, 616, 4191, 330, 2618, 1045, 187, 317, 0, 6, 1], [0, 3, 66, 60, 516, 1518, 154, 4653, 0, 2783, 990, 198, 316, 0, 6, 1], [0, 3, 67, 50, 560, 1408, 319, 4521, 0, 2915, 825, 308, 272, 10, 5, 1], [0, 3, 68, 39, 615, 1243, 649, 4059, 462, 2585, 990, 253, 283, 9, 5, 1], [0, 3, 68, 40, 604, 1298, 484, 4389, 0, 3047, 660, 418, 228, 20, 4, 1], [0, 3, 69, 28, 670, 1078, 979, 3597, 924, 2255, 1155, 198, 294, 8, 5, 1], [0, 3, 69, 29, 659, 1133, 814, 3927, 462, 2717, 825, 363, 239, 19, 4, 1], [0, 3, 69, 30, 648, 1188, 649, 4257, 0, 3179, 495, 528, 184, 30, 3, 1], [0, 3, 70, 17, 725, 913, 1309, 3135, 1386, 1925, 1320, 143, 305, 7, 5, 1], [0, 3, 70, 18, 714, 968, 1144, 3465, 924, 2387, 990, 308, 250, 18, 4, 1], [0, 3, 70, 19, 703, 1023, 979, 3795, 462, 2849, 660, 473, 195, 29, 3, 1], [0, 3, 70, 20, 692, 1078, 814, 4125, 0, 3311, 330, 638, 140, 40, 2, 1], [0, 3, 71, 6, 780, 748, 1639, 2673, 1848, 1595, 1485, 88, 316, 6, 5, 1], [0, 3, 71, 7, 769, 803, 1474, 3003, 1386, 2057, 1155, 253, 261, 17, 4, 1], [0, 3, 71, 8, 758, 858, 1309, 3333, 924, 2519, 825, 418, 206, 28, 3, 1], [0, 3, 71, 9, 747, 913, 1144, 3663, 462, 2981, 495, 583, 151, 39, 2, 1], [0, 3, 71, 10, 736, 968, 979, 3993, 0, 3443, 165, 748, 96, 50, 1, 1], [0, 3, 72, 0, 780, 858, 1144, 3861, 0, 3575, 0, 858, 52, 60, 0, 1], [0, 3, 72, 0, 781, 847, 1199, 3696, 330, 3113, 462, 528, 217, 5, 11, 0], [0, 4, 57, 94, 450, 1573, 187, 4521, 132, 2750, 935, 264, 282, 9, 5, 1], [0, 4, 58, 83, 505, 1408, 517, 4059, 594, 2420, 1100, 209, 293, 8, 5, 1], [0, 4, 58, 84, 494, 1463, 352, 4389, 132, 2882, 770, 374, 238, 19, 4, 1], [0, 4, 59, 72, 560, 1243, 847, 3597, 1056, 2090, 1265, 154, 304, 7, 5, 1], [0, 4, 59, 73, 549, 1298, 682, 3927, 594, 2552, 935, 319, 249, 18, 4, 1], [0, 4, 59, 74, 538, 1353, 517, 4257, 132, 3014, 605, 484, 194, 29, 3, 1], [0, 4, 60, 61, 615, 1078, 1177, 3135, 1518, 1760, 1430, 99, 315, 6, 5, 1], [0, 4, 60, 62, 604, 1133, 1012, 3465, 1056, 2222, 1100, 264, 260, 17, 4, 1], [0, 4, 60, 63, 593, 1188, 847, 3795, 594, 2684, 770, 429, 205, 28, 3, 1], [0, 4, 60, 64, 582, 1243, 682, 4125, 132, 3146, 440, 594, 150, 39, 2, 1], [0, 4, 61, 50, 670, 913, 1507, 2673, 1980, 1430, 1595, 44, 326, 5, 5, 1], [0, 4, 61, 51, 659, 968, 1342, 3003, 1518, 1892, 1265, 209, 271, 16, 4, 1], [0, 4, 61, 52, 648, 1023, 1177, 3333, 1056, 2354, 935, 374, 216, 27, 3, 1], [0, 4, 61, 53, 637, 1078, 1012, 3663, 594, 2816, 605, 539, 161, 38, 2, 1], [0, 4, 61, 54, 626, 1133, 847, 3993, 132, 3278, 275, 704, 106, 49, 1, 1], [0, 4, 61, 55, 616, 1177, 737, 4158, 0, 3278, 407, 539, 216, 5, 11, 0], [0, 4, 62, 40, 714, 803, 1672, 2541, 1980, 1562, 1430, 154, 282, 15, 4, 1], [0, 4, 62, 41, 703, 858, 1507, 2871, 1518, 2024, 1100, 319, 227, 26, 3, 1], [0, 4, 62, 42, 692, 913, 1342, 3201, 1056, 2486, 770, 484, 172, 37, 2, 1], [0, 4, 62, 43, 681, 968, 1177, 3531, 594, 2948, 440, 649, 117, 48, 1, 1], [0, 4, 62, 44, 670, 1023, 1012, 3861, 132, 3410, 110, 814, 62, 59, 0, 1], [0, 4, 62, 44, 671, 1012, 1067, 3696, 462, 2948, 572, 484, 227, 4, 11, 0], [0, 4, 62, 45, 660, 1067, 902, 4026, 0, 3410, 242, 649, 172, 15, 10, 0], [0, 4, 63, 29, 769, 638, 2002, 2079, 2442, 1232, 1595, 99, 293, 14, 4, 1], [0, 4, 63, 30, 758, 693, 1837, 2409, 1980, 1694, 1265, 264, 238, 25, 3, 1], [0, 4, 63, 31, 747, 748, 1672, 2739, 1518, 2156, 935, 429, 183, 36, 2, 1], [0, 4, 63, 32, 736, 803, 1507, 3069, 1056, 2618, 605, 594, 128, 47, 1, 1], [0, 4, 63, 33, 725, 858, 1342, 3399, 594, 3080, 275, 759, 73, 58, 0, 1], [0, 4, 63, 33, 726, 847, 1397, 3234, 924, 2618, 737, 429, 238, 3, 11, 0], [0, 4, 63, 34, 715, 902, 1232, 3564, 462, 3080, 407, 594, 183, 14, 10, 0], [0, 4, 63, 35, 704, 957, 1067, 3894, 0, 3542, 77, 759, 128, 25, 9, 0], [0, 4, 64, 18, 824, 473, 2332, 1617, 2904, 902, 1760, 44, 304, 13, 4, 1], [0, 4, 64, 19, 813, 528, 2167, 1947, 2442, 1364, 1430, 209, 249, 24, 3, 1], [0, 4, 64, 20, 802, 583, 2002, 2277, 1980, 1826, 1100, 374, 194, 35, 2, 1], [0, 4, 64, 21, 791, 638, 1837, 2607, 1518, 2288, 770, 539, 139, 46, 1, 1], [0, 4, 64, 22, 780, 693, 1672, 2937, 1056, 2750, 440, 704, 84, 57, 0, 1], [0, 4, 64, 22, 781, 682, 1727, 2772, 1386, 2288, 902, 374, 249, 2, 11, 0], [0, 4, 64, 23, 770, 737, 1562, 3102, 924, 2750, 572, 539, 194, 13, 10, 0], [0, 4, 64, 24, 759, 792, 1397, 3432, 462, 3212, 242, 704, 139, 24, 9, 0], [0, 4, 65, 8, 868, 363, 2497, 1485, 2904, 1034, 1595, 154, 260, 23, 3, 1], [0, 4, 65, 9, 857, 418, 2332, 1815, 2442, 1496, 1265, 319, 205, 34, 2, 1], [0, 4, 65, 10, 846, 473, 2167, 2145, 1980, 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