------- (15, 14336, 10) ALL distance distributions for INTERNAL point (10, 14336, 10) has 1 possible DDs: {[14, 140, 630, 1680, 2940, 3528, 2940, 1680, 630, 140, 14]} (11, 14336, 10) has 14 possible DDs: {[1, 143, 55, 2145, 330, 6006, 462, 4290, 165, 715, 11, 13], [2, 132, 110, 1980, 660, 5544, 924, 3960, 330, 660, 22, 12], [3, 121, 165, 1815, 990, 5082, 1386, 3630, 495, 605, 33, 11], [4, 110, 220, 1650, 1320, 4620, 1848, 3300, 660, 550, 44, 10], [5, 99, 275, 1485, 1650, 4158, 2310, 2970, 825, 495, 55, 9], [6, 88, 330, 1320, 1980, 3696, 2772, 2640, 990, 440, 66, 8], [7, 77, 385, 1155, 2310, 3234, 3234, 2310, 1155, 385, 77, 7], [8, 66, 440, 990, 2640, 2772, 3696, 1980, 1320, 330, 88, 6], [9, 55, 495, 825, 2970, 2310, 4158, 1650, 1485, 275, 99, 5], [10, 44, 550, 660, 3300, 1848, 4620, 1320, 1650, 220, 110, 4], [11, 33, 605, 495, 3630, 1386, 5082, 990, 1815, 165, 121, 3], [12, 22, 660, 330, 3960, 924, 5544, 660, 1980, 110, 132, 2], [13, 11, 715, 165, 4290, 462, 6006, 330, 2145, 55, 143, 1], [14, 0, 770, 0, 4620, 0, 6468, 0, 2310, 0, 154, 0]} (12, 14336, 10) has 56 possible DDs: {[1, 66, 132, 990, 1485, 2772, 3696, 1980, 2475, 330, 396, 6, 7], [1, 67, 121, 1045, 1320, 3102, 3234, 2442, 2145, 495, 341, 17, 6], [1, 68, 110, 1100, 1155, 3432, 2772, 2904, 1815, 660, 286, 28, 5], [1, 69, 99, 1155, 990, 3762, 2310, 3366, 1485, 825, 231, 39, 4], [1, 70, 88, 1210, 825, 4092, 1848, 3828, 1155, 990, 176, 50, 3], [1, 71, 77, 1265, 660, 4422, 1386, 4290, 825, 1155, 121, 61, 2], [1, 72, 66, 1320, 495, 4752, 924, 4752, 495, 1320, 66, 72, 1], [1, 73, 55, 1375, 330, 5082, 462, 5214, 165, 1485, 11, 83, 0], [2, 55, 187, 825, 1815, 2310, 4158, 1650, 2640, 275, 407, 5, 7], [2, 56, 176, 880, 1650, 2640, 3696, 2112, 2310, 440, 352, 16, 6], [2, 57, 165, 935, 1485, 2970, 3234, 2574, 1980, 605, 297, 27, 5], [2, 58, 154, 990, 1320, 3300, 2772, 3036, 1650, 770, 242, 38, 4], [2, 59, 143, 1045, 1155, 3630, 2310, 3498, 1320, 935, 187, 49, 3], [2, 60, 132, 1100, 990, 3960, 1848, 3960, 990, 1100, 132, 60, 2], [2, 61, 121, 1155, 825, 4290, 1386, 4422, 660, 1265, 77, 71, 1], [2, 62, 110, 1210, 660, 4620, 924, 4884, 330, 1430, 22, 82, 0], [3, 44, 242, 660, 2145, 1848, 4620, 1320, 2805, 220, 418, 4, 7], [3, 45, 231, 715, 1980, 2178, 4158, 1782, 2475, 385, 363, 15, 6], [3, 46, 220, 770, 1815, 2508, 3696, 2244, 2145, 550, 308, 26, 5], [3, 47, 209, 825, 1650, 2838, 3234, 2706, 1815, 715, 253, 37, 4], [3, 48, 198, 880, 1485, 3168, 2772, 3168, 1485, 880, 198, 48, 3], [3, 49, 187, 935, 1320, 3498, 2310, 3630, 1155, 1045, 143, 59, 2], [3, 50, 176, 990, 1155, 3828, 1848, 4092, 825, 1210, 88, 70, 1], [3, 51, 165, 1045, 990, 4158, 1386, 4554, 495, 1375, 33, 81, 0], [4, 33, 297, 495, 2475, 1386, 5082, 990, 2970, 165, 429, 3, 7], [4, 34, 286, 550, 2310, 1716, 4620, 1452, 2640, 330, 374, 14, 6], [4, 35, 275, 605, 2145, 2046, 4158, 1914, 2310, 495, 319, 25, 5], [4, 36, 264, 660, 1980, 2376, 3696, 2376, 1980, 660, 264, 36, 4], [4, 37, 253, 715, 1815, 2706, 3234, 2838, 1650, 825, 209, 47, 3], [4, 38, 242, 770, 1650, 3036, 2772, 3300, 1320, 990, 154, 58, 2], [4, 39, 231, 825, 1485, 3366, 2310, 3762, 990, 1155, 99, 69, 1], [4, 40, 220, 880, 1320, 3696, 1848, 4224, 660, 1320, 44, 80, 0], [5, 22, 352, 330, 2805, 924, 5544, 660, 3135, 110, 440, 2, 7], [5, 23, 341, 385, 2640, 1254, 5082, 1122, 2805, 275, 385, 13, 6], [5, 24, 330, 440, 2475, 1584, 4620, 1584, 2475, 440, 330, 24, 5], [5, 25, 319, 495, 2310, 1914, 4158, 2046, 2145, 605, 275, 35, 4], [5, 26, 308, 550, 2145, 2244, 3696, 2508, 1815, 770, 220, 46, 3], [5, 27, 297, 605, 1980, 2574, 3234, 2970, 1485, 935, 165, 57, 2], [5, 28, 286, 660, 1815, 2904, 2772, 3432, 1155, 1100, 110, 68, 1], [5, 29, 275, 715, 1650, 3234, 2310, 3894, 825, 1265, 55, 79, 0], [6, 11, 407, 165, 3135, 462, 6006, 330, 3300, 55, 451, 1, 7], [6, 12, 396, 220, 2970, 792, 5544, 792, 2970, 220, 396, 12, 6], [6, 13, 385, 275, 2805, 1122, 5082, 1254, 2640, 385, 341, 23, 5], [6, 14, 374, 330, 2640, 1452, 4620, 1716, 2310, 550, 286, 34, 4], [6, 15, 363, 385, 2475, 1782, 4158, 2178, 1980, 715, 231, 45, 3], [6, 16, 352, 440, 2310, 2112, 3696, 2640, 1650, 880, 176, 56, 2], [6, 17, 341, 495, 2145, 2442, 3234, 3102, 1320, 1045, 121, 67, 1], [6, 18, 330, 550, 1980, 2772, 2772, 3564, 990, 1210, 66, 78, 0], [7, 0, 462, 0, 3465, 0, 6468, 0, 3465, 0, 462, 0, 7], [7, 1, 451, 55, 3300, 330, 6006, 462, 3135, 165, 407, 11, 6], [7, 2, 440, 110, 3135, 660, 5544, 924, 2805, 330, 352, 22, 5], [7, 3, 429, 165, 2970, 990, 5082, 1386, 2475, 495, 297, 33, 4], [7, 4, 418, 220, 2805, 1320, 4620, 1848, 2145, 660, 242, 44, 3], [7, 5, 407, 275, 2640, 1650, 4158, 2310, 1815, 825, 187, 55, 2], [7, 6, 396, 330, 2475, 1980, 3696, 2772, 1485, 990, 132, 66, 1], [7, 7, 385, 385, 2310, 2310, 3234, 3234, 1155, 1155, 77, 77, 0]} (13, 14336, 10) has 195 possible DDs: {[1, 22, 192, 154, 2365, 0, 6072, 132, 4059, 550, 616, 162, 7, 4], [1, 23, 181, 209, 2200, 330, 5610, 594, 3729, 715, 561, 173, 6, 4], [1, 23, 182, 198, 2255, 165, 5940, 132, 4191, 385, 726, 118, 17, 3], [1, 24, 170, 264, 2035, 660, 5148, 1056, 3399, 880, 506, 184, 5, 4], [1, 24, 171, 253, 2090, 495, 5478, 594, 3861, 550, 671, 129, 16, 3], [1, 24, 172, 242, 2145, 330, 5808, 132, 4323, 220, 836, 74, 27, 2], [1, 25, 159, 319, 1870, 990, 4686, 1518, 3069, 1045, 451, 195, 4, 4], [1, 25, 160, 308, 1925, 825, 5016, 1056, 3531, 715, 616, 140, 15, 3], [1, 25, 161, 297, 1980, 660, 5346, 594, 3993, 385, 781, 85, 26, 2], [1, 25, 162, 286, 2035, 495, 5676, 132, 4455, 55, 946, 30, 37, 1], [1, 26, 148, 374, 1705, 1320, 4224, 1980, 2739, 1210, 396, 206, 3, 4], [1, 26, 149, 363, 1760, 1155, 4554, 1518, 3201, 880, 561, 151, 14, 3], [1, 26, 150, 352, 1815, 990, 4884, 1056, 3663, 550, 726, 96, 25, 2], [1, 26, 151, 341, 1870, 825, 5214, 594, 4125, 220, 891, 41, 36, 1], [1, 27, 137, 429, 1540, 1650, 3762, 2442, 2409, 1375, 341, 217, 2, 4], [1, 27, 138, 418, 1595, 1485, 4092, 1980, 2871, 1045, 506, 162, 13, 3], [1, 27, 139, 407, 1650, 1320, 4422, 1518, 3333, 715, 671, 107, 24, 2], [1, 27, 140, 396, 1705, 1155, 4752, 1056, 3795, 385, 836, 52, 35, 1], [1, 28, 126, 484, 1375, 1980, 3300, 2904, 2079, 1540, 286, 228, 1, 4], [1, 28, 127, 473, 1430, 1815, 3630, 2442, 2541, 1210, 451, 173, 12, 3], [1, 28, 128, 462, 1485, 1650, 3960, 1980, 3003, 880, 616, 118, 23, 2], [1, 28, 129, 451, 1540, 1485, 4290, 1518, 3465, 550, 781, 63, 34, 1], [1, 28, 130, 440, 1595, 1320, 4620, 1056, 3927, 220, 946, 8, 45, 0], [1, 29, 115, 539, 1210, 2310, 2838, 3366, 1749, 1705, 231, 239, 0, 4], [1, 29, 116, 528, 1265, 2145, 3168, 2904, 2211, 1375, 396, 184, 11, 3], [1, 29, 117, 517, 1320, 1980, 3498, 2442, 2673, 1045, 561, 129, 22, 2], [1, 29, 118, 506, 1375, 1815, 3828, 1980, 3135, 715, 726, 74, 33, 1], [1, 29, 119, 495, 1430, 1650, 4158, 1518, 3597, 385, 891, 19, 44, 0], [1, 30, 105, 583, 1100, 2475, 2706, 3366, 1881, 1540, 341, 195, 10, 3], [1, 30, 106, 572, 1155, 2310, 3036, 2904, 2343, 1210, 506, 140, 21, 2], [1, 30, 107, 561, 1210, 2145, 3366, 2442, 2805, 880, 671, 85, 32, 1], [1, 30, 108, 550, 1265, 1980, 3696, 1980, 3267, 550, 836, 30, 43, 0], [1, 31, 94, 638, 935, 2805, 2244, 3828, 1551, 1705, 286, 206, 9, 3], [1, 31, 95, 627, 990, 2640, 2574, 3366, 2013, 1375, 451, 151, 20, 2], [1, 31, 96, 616, 1045, 2475, 2904, 2904, 2475, 1045, 616, 96, 31, 1], [1, 31, 97, 605, 1100, 2310, 3234, 2442, 2937, 715, 781, 41, 42, 0], [1, 32, 83, 693, 770, 3135, 1782, 4290, 1221, 1870, 231, 217, 8, 3], [1, 32, 84, 682, 825, 2970, 2112, 3828, 1683, 1540, 396, 162, 19, 2], [1, 32, 85, 671, 880, 2805, 2442, 3366, 2145, 1210, 561, 107, 30, 1], [1, 32, 86, 660, 935, 2640, 2772, 2904, 2607, 880, 726, 52, 41, 0], [1, 33, 72, 748, 605, 3465, 1320, 4752, 891, 2035, 176, 228, 7, 3], [1, 33, 73, 737, 660, 3300, 1650, 4290, 1353, 1705, 341, 173, 18, 2], [1, 33, 74, 726, 715, 3135, 1980, 3828, 1815, 1375, 506, 118, 29, 1], [1, 33, 75, 715, 770, 2970, 2310, 3366, 2277, 1045, 671, 63, 40, 0], [1, 34, 61, 803, 440, 3795, 858, 5214, 561, 2200, 121, 239, 6, 3], [1, 34, 62, 792, 495, 3630, 1188, 4752, 1023, 1870, 286, 184, 17, 2], [1, 34, 63, 781, 550, 3465, 1518, 4290, 1485, 1540, 451, 129, 28, 1], [1, 34, 64, 770, 605, 3300, 1848, 3828, 1947, 1210, 616, 74, 39, 0], [1, 35, 50, 858, 275, 4125, 396, 5676, 231, 2365, 66, 250, 5, 3], [1, 35, 51, 847, 330, 3960, 726, 5214, 693, 2035, 231, 195, 16, 2], [1, 35, 52, 836, 385, 3795, 1056, 4752, 1155, 1705, 396, 140, 27, 1], [1, 35, 53, 825, 440, 3630, 1386, 4290, 1617, 1375, 561, 85, 38, 0], [1, 36, 40, 902, 165, 4290, 264, 5676, 363, 2200, 176, 206, 15, 2], [1, 36, 41, 891, 220, 4125, 594, 5214, 825, 1870, 341, 151, 26, 1], [1, 36, 42, 880, 275, 3960, 924, 4752, 1287, 1540, 506, 96, 37, 0], [1, 37, 30, 946, 55, 4455, 132, 5676, 495, 2035, 286, 162, 25, 1], [1, 37, 31, 935, 110, 4290, 462, 5214, 957, 1705, 451, 107, 36, 0], [2, 13, 225, 99, 2365, 198, 5610, 726, 3564, 825, 517, 183, 5, 4], [2, 13, 226, 88, 2420, 33, 5940, 264, 4026, 495, 682, 128, 16, 3], [2, 14, 214, 154, 2200, 528, 5148, 1188, 3234, 990, 462, 194, 4, 4], [2, 14, 215, 143, 2255, 363, 5478, 726, 3696, 660, 627, 139, 15, 3], [2, 14, 216, 132, 2310, 198, 5808, 264, 4158, 330, 792, 84, 26, 2], [2, 15, 203, 209, 2035, 858, 4686, 1650, 2904, 1155, 407, 205, 3, 4], [2, 15, 204, 198, 2090, 693, 5016, 1188, 3366, 825, 572, 150, 14, 3], [2, 15, 205, 187, 2145, 528, 5346, 726, 3828, 495, 737, 95, 25, 2], [2, 15, 206, 176, 2200, 363, 5676, 264, 4290, 165, 902, 40, 36, 1], [2, 16, 192, 264, 1870, 1188, 4224, 2112, 2574, 1320, 352, 216, 2, 4], [2, 16, 193, 253, 1925, 1023, 4554, 1650, 3036, 990, 517, 161, 13, 3], [2, 16, 194, 242, 1980, 858, 4884, 1188, 3498, 660, 682, 106, 24, 2], [2, 16, 195, 231, 2035, 693, 5214, 726, 3960, 330, 847, 51, 35, 1], [2, 17, 181, 319, 1705, 1518, 3762, 2574, 2244, 1485, 297, 227, 1, 4], [2, 17, 182, 308, 1760, 1353, 4092, 2112, 2706, 1155, 462, 172, 12, 3], [2, 17, 183, 297, 1815, 1188, 4422, 1650, 3168, 825, 627, 117, 23, 2], [2, 17, 184, 286, 1870, 1023, 4752, 1188, 3630, 495, 792, 62, 34, 1], [2, 17, 185, 275, 1925, 858, 5082, 726, 4092, 165, 957, 7, 45, 0], [2, 18, 170, 374, 1540, 1848, 3300, 3036, 1914, 1650, 242, 238, 0, 4], [2, 18, 171, 363, 1595, 1683, 3630, 2574, 2376, 1320, 407, 183, 11, 3], [2, 18, 172, 352, 1650, 1518, 3960, 2112, 2838, 990, 572, 128, 22, 2], [2, 18, 173, 341, 1705, 1353, 4290, 1650, 3300, 660, 737, 73, 33, 1], [2, 18, 174, 330, 1760, 1188, 4620, 1188, 3762, 330, 902, 18, 44, 0], [2, 19, 160, 418, 1430, 2013, 3168, 3036, 2046, 1485, 352, 194, 10, 3], [2, 19, 161, 407, 1485, 1848, 3498, 2574, 2508, 1155, 517, 139, 21, 2], [2, 19, 162, 396, 1540, 1683, 3828, 2112, 2970, 825, 682, 84, 32, 1], [2, 19, 163, 385, 1595, 1518, 4158, 1650, 3432, 495, 847, 29, 43, 0], [2, 20, 149, 473, 1265, 2343, 2706, 3498, 1716, 1650, 297, 205, 9, 3], [2, 20, 150, 462, 1320, 2178, 3036, 3036, 2178, 1320, 462, 150, 20, 2], [2, 20, 151, 451, 1375, 2013, 3366, 2574, 2640, 990, 627, 95, 31, 1], [2, 20, 152, 440, 1430, 1848, 3696, 2112, 3102, 660, 792, 40, 42, 0], [2, 21, 138, 528, 1100, 2673, 2244, 3960, 1386, 1815, 242, 216, 8, 3], [2, 21, 139, 517, 1155, 2508, 2574, 3498, 1848, 1485, 407, 161, 19, 2], [2, 21, 140, 506, 1210, 2343, 2904, 3036, 2310, 1155, 572, 106, 30, 1], [2, 21, 141, 495, 1265, 2178, 3234, 2574, 2772, 825, 737, 51, 41, 0], [2, 22, 127, 583, 935, 3003, 1782, 4422, 1056, 1980, 187, 227, 7, 3], [2, 22, 128, 572, 990, 2838, 2112, 3960, 1518, 1650, 352, 172, 18, 2], [2, 22, 129, 561, 1045, 2673, 2442, 3498, 1980, 1320, 517, 117, 29, 1], [2, 22, 130, 550, 1100, 2508, 2772, 3036, 2442, 990, 682, 62, 40, 0], [2, 23, 116, 638, 770, 3333, 1320, 4884, 726, 2145, 132, 238, 6, 3], [2, 23, 117, 627, 825, 3168, 1650, 4422, 1188, 1815, 297, 183, 17, 2], [2, 23, 118, 616, 880, 3003, 1980, 3960, 1650, 1485, 462, 128, 28, 1], [2, 23, 119, 605, 935, 2838, 2310, 3498, 2112, 1155, 627, 73, 39, 0], [2, 24, 105, 693, 605, 3663, 858, 5346, 396, 2310, 77, 249, 5, 3], [2, 24, 106, 682, 660, 3498, 1188, 4884, 858, 1980, 242, 194, 16, 2], [2, 24, 107, 671, 715, 3333, 1518, 4422, 1320, 1650, 407, 139, 27, 1], [2, 24, 108, 660, 770, 3168, 1848, 3960, 1782, 1320, 572, 84, 38, 0], [2, 25, 94, 748, 440, 3993, 396, 5808, 66, 2475, 22, 260, 4, 3], [2, 25, 95, 737, 495, 3828, 726, 5346, 528, 2145, 187, 205, 15, 2], [2, 25, 96, 726, 550, 3663, 1056, 4884, 990, 1815, 352, 150, 26, 1], [2, 25, 97, 715, 605, 3498, 1386, 4422, 1452, 1485, 517, 95, 37, 0], [2, 26, 84, 792, 330, 4158, 264, 5808, 198, 2310, 132, 216, 14, 2], [2, 26, 85, 781, 385, 3993, 594, 5346, 660, 1980, 297, 161, 25, 1], [2, 26, 86, 770, 440, 3828, 924, 4884, 1122, 1650, 462, 106, 36, 0], [2, 27, 74, 836, 220, 4323, 132, 5808, 330, 2145, 242, 172, 24, 1], [2, 27, 75, 825, 275, 4158, 462, 5346, 792, 1815, 407, 117, 35, 0], [2, 28, 64, 880, 110, 4488, 0, 5808, 462, 1980, 352, 128, 34, 0], [3, 4, 258, 44, 2365, 396, 5148, 1320, 3069, 1100, 418, 204, 3, 4], [3, 4, 259, 33, 2420, 231, 5478, 858, 3531, 770, 583, 149, 14, 3], [3, 4, 260, 22, 2475, 66, 5808, 396, 3993, 440, 748, 94, 25, 2], [3, 5, 247, 99, 2200, 726, 4686, 1782, 2739, 1265, 363, 215, 2, 4], [3, 5, 248, 88, 2255, 561, 5016, 1320, 3201, 935, 528, 160, 13, 3], [3, 5, 249, 77, 2310, 396, 5346, 858, 3663, 605, 693, 105, 24, 2], [3, 5, 250, 66, 2365, 231, 5676, 396, 4125, 275, 858, 50, 35, 1], [3, 6, 236, 154, 2035, 1056, 4224, 2244, 2409, 1430, 308, 226, 1, 4], [3, 6, 237, 143, 2090, 891, 4554, 1782, 2871, 1100, 473, 171, 12, 3], [3, 6, 238, 132, 2145, 726, 4884, 1320, 3333, 770, 638, 116, 23, 2], [3, 6, 239, 121, 2200, 561, 5214, 858, 3795, 440, 803, 61, 34, 1], [3, 6, 240, 110, 2255, 396, 5544, 396, 4257, 110, 968, 6, 45, 0], [3, 7, 225, 209, 1870, 1386, 3762, 2706, 2079, 1595, 253, 237, 0, 4], [3, 7, 226, 198, 1925, 1221, 4092, 2244, 2541, 1265, 418, 182, 11, 3], [3, 7, 227, 187, 1980, 1056, 4422, 1782, 3003, 935, 583, 127, 22, 2], [3, 7, 228, 176, 2035, 891, 4752, 1320, 3465, 605, 748, 72, 33, 1], [3, 7, 229, 165, 2090, 726, 5082, 858, 3927, 275, 913, 17, 44, 0], [3, 8, 215, 253, 1760, 1551, 3630, 2706, 2211, 1430, 363, 193, 10, 3], [3, 8, 216, 242, 1815, 1386, 3960, 2244, 2673, 1100, 528, 138, 21, 2], [3, 8, 217, 231, 1870, 1221, 4290, 1782, 3135, 770, 693, 83, 32, 1], [3, 8, 218, 220, 1925, 1056, 4620, 1320, 3597, 440, 858, 28, 43, 0], [3, 9, 204, 308, 1595, 1881, 3168, 3168, 1881, 1595, 308, 204, 9, 3], [3, 9, 205, 297, 1650, 1716, 3498, 2706, 2343, 1265, 473, 149, 20, 2], [3, 9, 206, 286, 1705, 1551, 3828, 2244, 2805, 935, 638, 94, 31, 1], [3, 9, 207, 275, 1760, 1386, 4158, 1782, 3267, 605, 803, 39, 42, 0], [3, 10, 193, 363, 1430, 2211, 2706, 3630, 1551, 1760, 253, 215, 8, 3], [3, 10, 194, 352, 1485, 2046, 3036, 3168, 2013, 1430, 418, 160, 19, 2], [3, 10, 195, 341, 1540, 1881, 3366, 2706, 2475, 1100, 583, 105, 30, 1], [3, 10, 196, 330, 1595, 1716, 3696, 2244, 2937, 770, 748, 50, 41, 0], [3, 11, 182, 418, 1265, 2541, 2244, 4092, 1221, 1925, 198, 226, 7, 3], [3, 11, 183, 407, 1320, 2376, 2574, 3630, 1683, 1595, 363, 171, 18, 2], [3, 11, 184, 396, 1375, 2211, 2904, 3168, 2145, 1265, 528, 116, 29, 1], [3, 11, 185, 385, 1430, 2046, 3234, 2706, 2607, 935, 693, 61, 40, 0], [3, 12, 171, 473, 1100, 2871, 1782, 4554, 891, 2090, 143, 237, 6, 3], [3, 12, 172, 462, 1155, 2706, 2112, 4092, 1353, 1760, 308, 182, 17, 2], [3, 12, 173, 451, 1210, 2541, 2442, 3630, 1815, 1430, 473, 127, 28, 1], [3, 12, 174, 440, 1265, 2376, 2772, 3168, 2277, 1100, 638, 72, 39, 0], [3, 13, 160, 528, 935, 3201, 1320, 5016, 561, 2255, 88, 248, 5, 3], [3, 13, 161, 517, 990, 3036, 1650, 4554, 1023, 1925, 253, 193, 16, 2], [3, 13, 162, 506, 1045, 2871, 1980, 4092, 1485, 1595, 418, 138, 27, 1], [3, 13, 163, 495, 1100, 2706, 2310, 3630, 1947, 1265, 583, 83, 38, 0], [3, 14, 149, 583, 770, 3531, 858, 5478, 231, 2420, 33, 259, 4, 3], [3, 14, 150, 572, 825, 3366, 1188, 5016, 693, 2090, 198, 204, 15, 2], [3, 14, 151, 561, 880, 3201, 1518, 4554, 1155, 1760, 363, 149, 26, 1], [3, 14, 152, 550, 935, 3036, 1848, 4092, 1617, 1430, 528, 94, 37, 0], [3, 15, 139, 627, 660, 3696, 726, 5478, 363, 2255, 143, 215, 14, 2], [3, 15, 140, 616, 715, 3531, 1056, 5016, 825, 1925, 308, 160, 25, 1], [3, 15, 141, 605, 770, 3366, 1386, 4554, 1287, 1595, 473, 105, 36, 0], [3, 16, 128, 682, 495, 4026, 264, 5940, 33, 2420, 88, 226, 13, 2], [3, 16, 129, 671, 550, 3861, 594, 5478, 495, 2090, 253, 171, 24, 1], [3, 16, 130, 660, 605, 3696, 924, 5016, 957, 1760, 418, 116, 35, 0], [3, 17, 118, 726, 385, 4191, 132, 5940, 165, 2255, 198, 182, 23, 1], [3, 17, 119, 715, 440, 4026, 462, 5478, 627, 1925, 363, 127, 34, 0], [3, 18, 108, 770, 275, 4356, 0, 5940, 297, 2090, 308, 138, 33, 0], [4, 0, 237, 253, 1595, 2079, 2706, 3762, 1386, 1870, 209, 225, 7, 3], [4, 0, 238, 242, 1650, 1914, 3036, 3300, 1848, 1540, 374, 170, 18, 2], [4, 0, 239, 231, 1705, 1749, 3366, 2838, 2310, 1210, 539, 115, 29, 1], [4, 0, 240, 220, 1760, 1584, 3696, 2376, 2772, 880, 704, 60, 40, 0], [4, 1, 226, 308, 1430, 2409, 2244, 4224, 1056, 2035, 154, 236, 6, 3], [4, 1, 227, 297, 1485, 2244, 2574, 3762, 1518, 1705, 319, 181, 17, 2], [4, 1, 228, 286, 1540, 2079, 2904, 3300, 1980, 1375, 484, 126, 28, 1], [4, 1, 229, 275, 1595, 1914, 3234, 2838, 2442, 1045, 649, 71, 39, 0], [4, 2, 215, 363, 1265, 2739, 1782, 4686, 726, 2200, 99, 247, 5, 3], [4, 2, 216, 352, 1320, 2574, 2112, 4224, 1188, 1870, 264, 192, 16, 2], [4, 2, 217, 341, 1375, 2409, 2442, 3762, 1650, 1540, 429, 137, 27, 1], [4, 2, 218, 330, 1430, 2244, 2772, 3300, 2112, 1210, 594, 82, 38, 0], [4, 3, 204, 418, 1100, 3069, 1320, 5148, 396, 2365, 44, 258, 4, 3], [4, 3, 205, 407, 1155, 2904, 1650, 4686, 858, 2035, 209, 203, 15, 2], [4, 3, 206, 396, 1210, 2739, 1980, 4224, 1320, 1705, 374, 148, 26, 1], [4, 3, 207, 385, 1265, 2574, 2310, 3762, 1782, 1375, 539, 93, 37, 0], [4, 4, 194, 462, 990, 3234, 1188, 5148, 528, 2200, 154, 214, 14, 2], [4, 4, 195, 451, 1045, 3069, 1518, 4686, 990, 1870, 319, 159, 25, 1], [4, 4, 196, 440, 1100, 2904, 1848, 4224, 1452, 1540, 484, 104, 36, 0], [4, 5, 183, 517, 825, 3564, 726, 5610, 198, 2365, 99, 225, 13, 2], [4, 5, 184, 506, 880, 3399, 1056, 5148, 660, 2035, 264, 170, 24, 1], [4, 5, 185, 495, 935, 3234, 1386, 4686, 1122, 1705, 429, 115, 35, 0], [4, 6, 173, 561, 715, 3729, 594, 5610, 330, 2200, 209, 181, 23, 1], [4, 6, 174, 550, 770, 3564, 924, 5148, 792, 1870, 374, 126, 34, 0], [4, 7, 162, 616, 550, 4059, 132, 6072, 0, 2365, 154, 192, 22, 1], [4, 7, 163, 605, 605, 3894, 462, 5610, 462, 2035, 319, 137, 33, 0], [4, 8, 152, 660, 440, 4224, 0, 6072, 132, 2200, 264, 148, 32, 0]} (14, 14336, 10) has 545 possible DDs: {[1, 4, 151, 40, 1463, 1144, 2541, 4224, 759, 3300, 121, 504, 81, 0, 3], [1, 4, 153, 19, 1562, 869, 3036, 3630, 1221, 3102, 121, 559, 48, 9, 2], [1, 4, 154, 8, 1617, 704, 3366, 3168, 1683, 2772, 286, 504, 59, 8, 2], [1, 5, 140, 95, 1298, 1474, 2079, 4686, 429, 3465, 66, 515, 80, 0, 3], [1, 5, 142, 74, 1397, 1199, 2574, 4092, 891, 3267, 66, 570, 47, 9, 2], [1, 5, 143, 63, 1452, 1034, 2904, 3630, 1353, 2937, 231, 515, 58, 8, 2], [1, 5, 144, 52, 1507, 869, 3234, 3168, 1815, 2607, 396, 460, 69, 7, 2], [1, 5, 144, 53, 1496, 924, 3069, 3498, 1353, 3069, 66, 625, 14, 18, 1], [1, 5, 145, 41, 1562, 704, 3564, 2706, 2277, 2277, 561, 405, 80, 6, 2], [1, 5, 145, 42, 1551, 759, 3399, 3036, 1815, 2739, 231, 570, 25, 17, 1], [1, 5, 146, 30, 1617, 539, 3894, 2244, 2739, 1947, 726, 350, 91, 5, 2], [1, 5, 146, 31, 1606, 594, 3729, 2574, 2277, 2409, 396, 515, 36, 16, 1], [1, 5, 147, 19, 1672, 374, 4224, 1782, 3201, 1617, 891, 295, 102, 4, 2], [1, 5, 147, 20, 1661, 429, 4059, 2112, 2739, 2079, 561, 460, 47, 15, 1], [1, 5, 148, 8, 1727, 209, 4554, 1320, 3663, 1287, 1056, 240, 113, 3, 2], [1, 5, 148, 9, 1716, 264, 4389, 1650, 3201, 1749, 726, 405, 58, 14, 1], [1, 5, 148, 10, 1705, 319, 4224, 1980, 2739, 2211, 396, 570, 3, 25, 0], [1, 6, 129, 150, 1133, 1804, 1617, 5148, 99, 3630, 11, 526, 79, 0, 3], [1, 6, 131, 129, 1232, 1529, 2112, 4554, 561, 3432, 11, 581, 46, 9, 2], [1, 6, 132, 118, 1287, 1364, 2442, 4092, 1023, 3102, 176, 526, 57, 8, 2], [1, 6, 133, 107, 1342, 1199, 2772, 3630, 1485, 2772, 341, 471, 68, 7, 2], [1, 6, 133, 108, 1331, 1254, 2607, 3960, 1023, 3234, 11, 636, 13, 18, 1], [1, 6, 134, 96, 1397, 1034, 3102, 3168, 1947, 2442, 506, 416, 79, 6, 2], [1, 6, 134, 97, 1386, 1089, 2937, 3498, 1485, 2904, 176, 581, 24, 17, 1], [1, 6, 135, 85, 1452, 869, 3432, 2706, 2409, 2112, 671, 361, 90, 5, 2], [1, 6, 135, 86, 1441, 924, 3267, 3036, 1947, 2574, 341, 526, 35, 16, 1], [1, 6, 136, 74, 1507, 704, 3762, 2244, 2871, 1782, 836, 306, 101, 4, 2], [1, 6, 136, 75, 1496, 759, 3597, 2574, 2409, 2244, 506, 471, 46, 15, 1], [1, 6, 137, 63, 1562, 539, 4092, 1782, 3333, 1452, 1001, 251, 112, 3, 2], [1, 6, 137, 64, 1551, 594, 3927, 2112, 2871, 1914, 671, 416, 57, 14, 1], [1, 6, 137, 65, 1540, 649, 3762, 2442, 2409, 2376, 341, 581, 2, 25, 0], [1, 6, 138, 52, 1617, 374, 4422, 1320, 3795, 1122, 1166, 196, 123, 2, 2], [1, 6, 138, 53, 1606, 429, 4257, 1650, 3333, 1584, 836, 361, 68, 13, 1], [1, 6, 138, 54, 1595, 484, 4092, 1980, 2871, 2046, 506, 526, 13, 24, 0], [1, 6, 139, 41, 1672, 209, 4752, 858, 4257, 792, 1331, 141, 134, 1, 2], [1, 6, 139, 42, 1661, 264, 4587, 1188, 3795, 1254, 1001, 306, 79, 12, 1], [1, 6, 139, 43, 1650, 319, 4422, 1518, 3333, 1716, 671, 471, 24, 23, 0], [1, 6, 140, 30, 1727, 44, 5082, 396, 4719, 462, 1496, 86, 145, 0, 2], [1, 6, 140, 31, 1716, 99, 4917, 726, 4257, 924, 1166, 251, 90, 11, 1], [1, 6, 140, 32, 1705, 154, 4752, 1056, 3795, 1386, 836, 416, 35, 22, 0], [1, 7, 121, 173, 1122, 1694, 1980, 4554, 693, 3267, 121, 537, 56, 8, 2], [1, 7, 122, 162, 1177, 1529, 2310, 4092, 1155, 2937, 286, 482, 67, 7, 2], [1, 7, 123, 151, 1232, 1364, 2640, 3630, 1617, 2607, 451, 427, 78, 6, 2], [1, 7, 123, 152, 1221, 1419, 2475, 3960, 1155, 3069, 121, 592, 23, 17, 1], [1, 7, 124, 140, 1287, 1199, 2970, 3168, 2079, 2277, 616, 372, 89, 5, 2], [1, 7, 124, 141, 1276, 1254, 2805, 3498, 1617, 2739, 286, 537, 34, 16, 1], [1, 7, 125, 129, 1342, 1034, 3300, 2706, 2541, 1947, 781, 317, 100, 4, 2], [1, 7, 125, 130, 1331, 1089, 3135, 3036, 2079, 2409, 451, 482, 45, 15, 1], [1, 7, 126, 118, 1397, 869, 3630, 2244, 3003, 1617, 946, 262, 111, 3, 2], [1, 7, 126, 119, 1386, 924, 3465, 2574, 2541, 2079, 616, 427, 56, 14, 1], [1, 7, 126, 120, 1375, 979, 3300, 2904, 2079, 2541, 286, 592, 1, 25, 0], [1, 7, 127, 107, 1452, 704, 3960, 1782, 3465, 1287, 1111, 207, 122, 2, 2], [1, 7, 127, 108, 1441, 759, 3795, 2112, 3003, 1749, 781, 372, 67, 13, 1], [1, 7, 127, 109, 1430, 814, 3630, 2442, 2541, 2211, 451, 537, 12, 24, 0], [1, 7, 128, 96, 1507, 539, 4290, 1320, 3927, 957, 1276, 152, 133, 1, 2], [1, 7, 128, 97, 1496, 594, 4125, 1650, 3465, 1419, 946, 317, 78, 12, 1], [1, 7, 128, 98, 1485, 649, 3960, 1980, 3003, 1881, 616, 482, 23, 23, 0], [1, 7, 129, 85, 1562, 374, 4620, 858, 4389, 627, 1441, 97, 144, 0, 2], [1, 7, 129, 86, 1551, 429, 4455, 1188, 3927, 1089, 1111, 262, 89, 11, 1], [1, 7, 129, 87, 1540, 484, 4290, 1518, 3465, 1551, 781, 427, 34, 22, 0], [1, 7, 130, 75, 1606, 264, 4785, 726, 4389, 759, 1276, 207, 100, 10, 1], [1, 7, 130, 76, 1595, 319, 4620, 1056, 3927, 1221, 946, 372, 45, 21, 0], [1, 7, 131, 64, 1661, 99, 5115, 264, 4851, 429, 1441, 152, 111, 9, 1], [1, 7, 131, 65, 1650, 154, 4950, 594, 4389, 891, 1111, 317, 56, 20, 0], [1, 8, 110, 228, 957, 2024, 1518, 5016, 363, 3432, 66, 548, 55, 8, 2], [1, 8, 111, 217, 1012, 1859, 1848, 4554, 825, 3102, 231, 493, 66, 7, 2], [1, 8, 112, 206, 1067, 1694, 2178, 4092, 1287, 2772, 396, 438, 77, 6, 2], [1, 8, 112, 207, 1056, 1749, 2013, 4422, 825, 3234, 66, 603, 22, 17, 1], [1, 8, 113, 195, 1122, 1529, 2508, 3630, 1749, 2442, 561, 383, 88, 5, 2], [1, 8, 113, 196, 1111, 1584, 2343, 3960, 1287, 2904, 231, 548, 33, 16, 1], [1, 8, 114, 184, 1177, 1364, 2838, 3168, 2211, 2112, 726, 328, 99, 4, 2], [1, 8, 114, 185, 1166, 1419, 2673, 3498, 1749, 2574, 396, 493, 44, 15, 1], [1, 8, 115, 173, 1232, 1199, 3168, 2706, 2673, 1782, 891, 273, 110, 3, 2], [1, 8, 115, 174, 1221, 1254, 3003, 3036, 2211, 2244, 561, 438, 55, 14, 1], [1, 8, 115, 175, 1210, 1309, 2838, 3366, 1749, 2706, 231, 603, 0, 25, 0], [1, 8, 116, 162, 1287, 1034, 3498, 2244, 3135, 1452, 1056, 218, 121, 2, 2], [1, 8, 116, 163, 1276, 1089, 3333, 2574, 2673, 1914, 726, 383, 66, 13, 1], [1, 8, 116, 164, 1265, 1144, 3168, 2904, 2211, 2376, 396, 548, 11, 24, 0], [1, 8, 117, 151, 1342, 869, 3828, 1782, 3597, 1122, 1221, 163, 132, 1, 2], [1, 8, 117, 152, 1331, 924, 3663, 2112, 3135, 1584, 891, 328, 77, 12, 1], [1, 8, 117, 153, 1320, 979, 3498, 2442, 2673, 2046, 561, 493, 22, 23, 0], [1, 8, 118, 140, 1397, 704, 4158, 1320, 4059, 792, 1386, 108, 143, 0, 2], [1, 8, 118, 141, 1386, 759, 3993, 1650, 3597, 1254, 1056, 273, 88, 11, 1], [1, 8, 118, 142, 1375, 814, 3828, 1980, 3135, 1716, 726, 438, 33, 22, 0], [1, 8, 119, 130, 1441, 594, 4323, 1188, 4059, 924, 1221, 218, 99, 10, 1], [1, 8, 119, 131, 1430, 649, 4158, 1518, 3597, 1386, 891, 383, 44, 21, 0], [1, 8, 120, 119, 1496, 429, 4653, 726, 4521, 594, 1386, 163, 110, 9, 1], [1, 8, 120, 120, 1485, 484, 4488, 1056, 4059, 1056, 1056, 328, 55, 20, 0], [1, 8, 121, 108, 1551, 264, 4983, 264, 4983, 264, 1551, 108, 121, 8, 1], [1, 8, 121, 109, 1540, 319, 4818, 594, 4521, 726, 1221, 273, 66, 19, 0], [1, 8, 122, 98, 1595, 154, 5148, 132, 4983, 396, 1386, 218, 77, 18, 0], [1, 9, 99, 283, 792, 2354, 1056, 5478, 33, 3597, 11, 559, 54, 8, 2], [1, 9, 100, 272, 847, 2189, 1386, 5016, 495, 3267, 176, 504, 65, 7, 2], [1, 9, 101, 261, 902, 2024, 1716, 4554, 957, 2937, 341, 449, 76, 6, 2], [1, 9, 101, 262, 891, 2079, 1551, 4884, 495, 3399, 11, 614, 21, 17, 1], [1, 9, 102, 250, 957, 1859, 2046, 4092, 1419, 2607, 506, 394, 87, 5, 2], [1, 9, 102, 251, 946, 1914, 1881, 4422, 957, 3069, 176, 559, 32, 16, 1], [1, 9, 103, 239, 1012, 1694, 2376, 3630, 1881, 2277, 671, 339, 98, 4, 2], [1, 9, 103, 240, 1001, 1749, 2211, 3960, 1419, 2739, 341, 504, 43, 15, 1], [1, 9, 104, 228, 1067, 1529, 2706, 3168, 2343, 1947, 836, 284, 109, 3, 2], [1, 9, 104, 229, 1056, 1584, 2541, 3498, 1881, 2409, 506, 449, 54, 14, 1], [1, 9, 105, 217, 1122, 1364, 3036, 2706, 2805, 1617, 1001, 229, 120, 2, 2], [1, 9, 105, 218, 1111, 1419, 2871, 3036, 2343, 2079, 671, 394, 65, 13, 1], [1, 9, 105, 219, 1100, 1474, 2706, 3366, 1881, 2541, 341, 559, 10, 24, 0], [1, 9, 106, 206, 1177, 1199, 3366, 2244, 3267, 1287, 1166, 174, 131, 1, 2], [1, 9, 106, 207, 1166, 1254, 3201, 2574, 2805, 1749, 836, 339, 76, 12, 1], [1, 9, 106, 208, 1155, 1309, 3036, 2904, 2343, 2211, 506, 504, 21, 23, 0], [1, 9, 107, 195, 1232, 1034, 3696, 1782, 3729, 957, 1331, 119, 142, 0, 2], [1, 9, 107, 196, 1221, 1089, 3531, 2112, 3267, 1419, 1001, 284, 87, 11, 1], [1, 9, 107, 197, 1210, 1144, 3366, 2442, 2805, 1881, 671, 449, 32, 22, 0], [1, 9, 108, 185, 1276, 924, 3861, 1650, 3729, 1089, 1166, 229, 98, 10, 1], [1, 9, 108, 186, 1265, 979, 3696, 1980, 3267, 1551, 836, 394, 43, 21, 0], [1, 9, 109, 174, 1331, 759, 4191, 1188, 4191, 759, 1331, 174, 109, 9, 1], [1, 9, 109, 175, 1320, 814, 4026, 1518, 3729, 1221, 1001, 339, 54, 20, 0], [1, 9, 110, 163, 1386, 594, 4521, 726, 4653, 429, 1496, 119, 120, 8, 1], [1, 9, 110, 164, 1375, 649, 4356, 1056, 4191, 891, 1166, 284, 65, 19, 0], [1, 9, 111, 152, 1441, 429, 4851, 264, 5115, 99, 1661, 64, 131, 7, 1], [1, 9, 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3025, 1254, 3630, 3003, 946, 1463, 95, 118, 13, 0], [3, 0, 84, 472, 275, 2860, 1584, 3168, 3465, 616, 1628, 40, 129, 12, 0], [3, 1, 71, 549, 0, 3520, 462, 4554, 2211, 1441, 1243, 161, 106, 14, 0], [3, 1, 72, 538, 55, 3355, 792, 4092, 2673, 1111, 1408, 106, 117, 13, 0], [3, 1, 73, 527, 110, 3190, 1122, 3630, 3135, 781, 1573, 51, 128, 12, 0], [3, 2, 63, 571, 0, 3355, 990, 3630, 3267, 616, 1683, 7, 138, 11, 0]} (15, 14336, 10) has 1259 possible DDs: {[1, 0, 68, 218, 245, 2508, 0, 5214, 1419, 2200, 1980, 70, 383, 28, 0, 2], [1, 0, 69, 207, 300, 2343, 330, 4752, 1881, 1870, 2145, 15, 394, 27, 0, 2], [1, 0, 70, 199, 323, 2332, 220, 5115, 1287, 2464, 1782, 125, 405, 4, 8, 1], [1, 0, 70, 200, 312, 2387, 55, 5445, 825, 2926, 1452, 290, 350, 15, 7, 1], [1, 0, 71, 188, 378, 2167, 550, 4653, 1749, 2134, 1947, 70, 416, 3, 8, 1], [1, 0, 71, 189, 367, 2222, 385, 4983, 1287, 2596, 1617, 235, 361, 14, 7, 1], [1, 0, 71, 190, 356, 2277, 220, 5313, 825, 3058, 1287, 400, 306, 25, 6, 1], [1, 0, 71, 191, 345, 2332, 55, 5643, 363, 3520, 957, 565, 251, 36, 5, 1], [1, 0, 72, 177, 433, 2002, 880, 4191, 2211, 1804, 2112, 15, 427, 2, 8, 1], [1, 0, 72, 178, 422, 2057, 715, 4521, 1749, 2266, 1782, 180, 372, 13, 7, 1], [1, 0, 72, 179, 411, 2112, 550, 4851, 1287, 2728, 1452, 345, 317, 24, 6, 1], [1, 0, 72, 180, 400, 2167, 385, 5181, 825, 3190, 1122, 510, 262, 35, 5, 1], [1, 0, 72, 181, 389, 2222, 220, 5511, 363, 3652, 792, 675, 207, 46, 4, 1], [1, 0, 72, 182, 379, 2266, 110, 5676, 231, 3652, 924, 510, 317, 2, 14, 0], [1, 0, 73, 167, 477, 1892, 1045, 4059, 2211, 1936, 1947, 125, 383, 12, 7, 1], [1, 0, 73, 168, 466, 1947, 880, 4389, 1749, 2398, 1617, 290, 328, 23, 6, 1], [1, 0, 73, 169, 455, 2002, 715, 4719, 1287, 2860, 1287, 455, 273, 34, 5, 1], [1, 0, 73, 170, 444, 2057, 550, 5049, 825, 3322, 957, 620, 218, 45, 4, 1], [1, 0, 73, 171, 433, 2112, 385, 5379, 363, 3784, 627, 785, 163, 56, 3, 1], [1, 0, 73, 171, 434, 2101, 440, 5214, 693, 3322, 1089, 455, 328, 1, 14, 0], [1, 0, 73, 172, 423, 2156, 275, 5544, 231, 3784, 759, 620, 273, 12, 13, 0], [1, 0, 74, 156, 532, 1727, 1375, 3597, 2673, 1606, 2112, 70, 394, 11, 7, 1], [1, 0, 74, 157, 521, 1782, 1210, 3927, 2211, 2068, 1782, 235, 339, 22, 6, 1], [1, 0, 74, 158, 510, 1837, 1045, 4257, 1749, 2530, 1452, 400, 284, 33, 5, 1], [1, 0, 74, 159, 499, 1892, 880, 4587, 1287, 2992, 1122, 565, 229, 44, 4, 1], [1, 0, 74, 160, 488, 1947, 715, 4917, 825, 3454, 792, 730, 174, 55, 3, 1], [1, 0, 74, 160, 489, 1936, 770, 4752, 1155, 2992, 1254, 400, 339, 0, 14, 0], [1, 0, 74, 161, 477, 2002, 550, 5247, 363, 3916, 462, 895, 119, 66, 2, 1], [1, 0, 74, 161, 478, 1991, 605, 5082, 693, 3454, 924, 565, 284, 11, 13, 0], [1, 0, 74, 162, 467, 2046, 440, 5412, 231, 3916, 594, 730, 229, 22, 12, 0], [1, 0, 75, 145, 587, 1562, 1705, 3135, 3135, 1276, 2277, 15, 405, 10, 7, 1], [1, 0, 75, 146, 576, 1617, 1540, 3465, 2673, 1738, 1947, 180, 350, 21, 6, 1], [1, 0, 75, 147, 565, 1672, 1375, 3795, 2211, 2200, 1617, 345, 295, 32, 5, 1], [1, 0, 75, 148, 554, 1727, 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