-------
(15, 16384, 10) ALL distance distributions for INTERNAL point
(10, 16384, 10) has 1 possible DDs: {[16, 160, 720, 1920, 3360, 4032, 3360, 1920, 720, 160, 16]}
(11, 16384, 10) has 16 possible DDs: {[1, 165, 55, 2475, 330, 6930, 462, 4950, 165, 825, 11, 15], [2, 154, 110, 2310, 660, 6468, 924, 4620, 330, 770, 22, 14], [3, 143, 165, 2145, 990, 6006, 1386, 4290, 495, 715, 33, 13], [4, 132, 220, 1980, 1320, 5544, 1848, 3960, 660, 660, 44, 12], [5, 121, 275, 1815, 1650, 5082, 2310, 3630, 825, 605, 55, 11], [6, 110, 330, 1650, 1980, 4620, 2772, 3300, 990, 550, 66, 10], [7, 99, 385, 1485, 2310, 4158, 3234, 2970, 1155, 495, 77, 9], [8, 88, 440, 1320, 2640, 3696, 3696, 2640, 1320, 440, 88, 8], [9, 77, 495, 1155, 2970, 3234, 4158, 2310, 1485, 385, 99, 7], [10, 66, 550, 990, 3300, 2772, 4620, 1980, 1650, 330, 110, 6], [11, 55, 605, 825, 3630, 2310, 5082, 1650, 1815, 275, 121, 5], [12, 44, 660, 660, 3960, 1848, 5544, 1320, 1980, 220, 132, 4], [13, 33, 715, 495, 4290, 1386, 6006, 990, 2145, 165, 143, 3], [14, 22, 770, 330, 4620, 924, 6468, 660, 2310, 110, 154, 2], [15, 11, 825, 165, 4950, 462, 6930, 330, 2475, 55, 165, 1], [16, 0, 880, 0, 5280, 0, 7392, 0, 2640, 0, 176, 0]}
(12, 16384, 10) has 72 possible DDs: {[1, 77, 143, 1155, 1650, 3234, 4158, 2310, 2805, 385, 451, 7, 8], [1, 78, 132, 1210, 1485, 3564, 3696, 2772, 2475, 550, 396, 18, 7], [1, 79, 121, 1265, 1320, 3894, 3234, 3234, 2145, 715, 341, 29, 6], [1, 80, 110, 1320, 1155, 4224, 2772, 3696, 1815, 880, 286, 40, 5], [1, 81, 99, 1375, 990, 4554, 2310, 4158, 1485, 1045, 231, 51, 4], [1, 82, 88, 1430, 825, 4884, 1848, 4620, 1155, 1210, 176, 62, 3], [1, 83, 77, 1485, 660, 5214, 1386, 5082, 825, 1375, 121, 73, 2], [1, 84, 66, 1540, 495, 5544, 924, 5544, 495, 1540, 66, 84, 1], [1, 85, 55, 1595, 330, 5874, 462, 6006, 165, 1705, 11, 95, 0], [2, 66, 198, 990, 1980, 2772, 4620, 1980, 2970, 330, 462, 6, 8], [2, 67, 187, 1045, 1815, 3102, 4158, 2442, 2640, 495, 407, 17, 7], [2, 68, 176, 1100, 1650, 3432, 3696, 2904, 2310, 660, 352, 28, 6], [2, 69, 165, 1155, 1485, 3762, 3234, 3366, 1980, 825, 297, 39, 5], [2, 70, 154, 1210, 1320, 4092, 2772, 3828, 1650, 990, 242, 50, 4], [2, 71, 143, 1265, 1155, 4422, 2310, 4290, 1320, 1155, 187, 61, 3], [2, 72, 132, 1320, 990, 4752, 1848, 4752, 990, 1320, 132, 72, 2], [2, 73, 121, 1375, 825, 5082, 1386, 5214, 660, 1485, 77, 83, 1], [2, 74, 110, 1430, 660, 5412, 924, 5676, 330, 1650, 22, 94, 0], [3, 55, 253, 825, 2310, 2310, 5082, 1650, 3135, 275, 473, 5, 8], [3, 56, 242, 880, 2145, 2640, 4620, 2112, 2805, 440, 418, 16, 7], [3, 57, 231, 935, 1980, 2970, 4158, 2574, 2475, 605, 363, 27, 6], [3, 58, 220, 990, 1815, 3300, 3696, 3036, 2145, 770, 308, 38, 5], [3, 59, 209, 1045, 1650, 3630, 3234, 3498, 1815, 935, 253, 49, 4], [3, 60, 198, 1100, 1485, 3960, 2772, 3960, 1485, 1100, 198, 60, 3], [3, 61, 187, 1155, 1320, 4290, 2310, 4422, 1155, 1265, 143, 71, 2], [3, 62, 176, 1210, 1155, 4620, 1848, 4884, 825, 1430, 88, 82, 1], [3, 63, 165, 1265, 990, 4950, 1386, 5346, 495, 1595, 33, 93, 0], [4, 44, 308, 660, 2640, 1848, 5544, 1320, 3300, 220, 484, 4, 8], [4, 45, 297, 715, 2475, 2178, 5082, 1782, 2970, 385, 429, 15, 7], [4, 46, 286, 770, 2310, 2508, 4620, 2244, 2640, 550, 374, 26, 6], [4, 47, 275, 825, 2145, 2838, 4158, 2706, 2310, 715, 319, 37, 5], [4, 48, 264, 880, 1980, 3168, 3696, 3168, 1980, 880, 264, 48, 4], [4, 49, 253, 935, 1815, 3498, 3234, 3630, 1650, 1045, 209, 59, 3], [4, 50, 242, 990, 1650, 3828, 2772, 4092, 1320, 1210, 154, 70, 2], [4, 51, 231, 1045, 1485, 4158, 2310, 4554, 990, 1375, 99, 81, 1], [4, 52, 220, 1100, 1320, 4488, 1848, 5016, 660, 1540, 44, 92, 0], [5, 33, 363, 495, 2970, 1386, 6006, 990, 3465, 165, 495, 3, 8], [5, 34, 352, 550, 2805, 1716, 5544, 1452, 3135, 330, 440, 14, 7], [5, 35, 341, 605, 2640, 2046, 5082, 1914, 2805, 495, 385, 25, 6], [5, 36, 330, 660, 2475, 2376, 4620, 2376, 2475, 660, 330, 36, 5], [5, 37, 319, 715, 2310, 2706, 4158, 2838, 2145, 825, 275, 47, 4], [5, 38, 308, 770, 2145, 3036, 3696, 3300, 1815, 990, 220, 58, 3], [5, 39, 297, 825, 1980, 3366, 3234, 3762, 1485, 1155, 165, 69, 2], [5, 40, 286, 880, 1815, 3696, 2772, 4224, 1155, 1320, 110, 80, 1], [5, 41, 275, 935, 1650, 4026, 2310, 4686, 825, 1485, 55, 91, 0], [6, 22, 418, 330, 3300, 924, 6468, 660, 3630, 110, 506, 2, 8], [6, 23, 407, 385, 3135, 1254, 6006, 1122, 3300, 275, 451, 13, 7], [6, 24, 396, 440, 2970, 1584, 5544, 1584, 2970, 440, 396, 24, 6], [6, 25, 385, 495, 2805, 1914, 5082, 2046, 2640, 605, 341, 35, 5], [6, 26, 374, 550, 2640, 2244, 4620, 2508, 2310, 770, 286, 46, 4], [6, 27, 363, 605, 2475, 2574, 4158, 2970, 1980, 935, 231, 57, 3], [6, 28, 352, 660, 2310, 2904, 3696, 3432, 1650, 1100, 176, 68, 2], [6, 29, 341, 715, 2145, 3234, 3234, 3894, 1320, 1265, 121, 79, 1], [6, 30, 330, 770, 1980, 3564, 2772, 4356, 990, 1430, 66, 90, 0], [7, 11, 473, 165, 3630, 462, 6930, 330, 3795, 55, 517, 1, 8], [7, 12, 462, 220, 3465, 792, 6468, 792, 3465, 220, 462, 12, 7], [7, 13, 451, 275, 3300, 1122, 6006, 1254, 3135, 385, 407, 23, 6], [7, 14, 440, 330, 3135, 1452, 5544, 1716, 2805, 550, 352, 34, 5], [7, 15, 429, 385, 2970, 1782, 5082, 2178, 2475, 715, 297, 45, 4], [7, 16, 418, 440, 2805, 2112, 4620, 2640, 2145, 880, 242, 56, 3], [7, 17, 407, 495, 2640, 2442, 4158, 3102, 1815, 1045, 187, 67, 2], [7, 18, 396, 550, 2475, 2772, 3696, 3564, 1485, 1210, 132, 78, 1], [7, 19, 385, 605, 2310, 3102, 3234, 4026, 1155, 1375, 77, 89, 0], [8, 0, 528, 0, 3960, 0, 7392, 0, 3960, 0, 528, 0, 8], [8, 1, 517, 55, 3795, 330, 6930, 462, 3630, 165, 473, 11, 7], [8, 2, 506, 110, 3630, 660, 6468, 924, 3300, 330, 418, 22, 6], [8, 3, 495, 165, 3465, 990, 6006, 1386, 2970, 495, 363, 33, 5], [8, 4, 484, 220, 3300, 1320, 5544, 1848, 2640, 660, 308, 44, 4], [8, 5, 473, 275, 3135, 1650, 5082, 2310, 2310, 825, 253, 55, 3], [8, 6, 462, 330, 2970, 1980, 4620, 2772, 1980, 990, 198, 66, 2], [8, 7, 451, 385, 2805, 2310, 4158, 3234, 1650, 1155, 143, 77, 1], [8, 8, 440, 440, 2640, 2640, 3696, 3696, 1320, 1320, 88, 88, 0]}
(13, 16384, 10) has 297 possible DDs: {[1, 27, 208, 220, 2585, 231, 6600, 528, 4323, 825, 616, 212, 3, 5], [1, 27, 209, 209, 2640, 66, 6930, 66, 4785, 495, 781, 157, 14, 4], [1, 28, 197, 275, 2420, 561, 6138, 990, 3993, 990, 561, 223, 2, 5], [1, 28, 198, 264, 2475, 396, 6468, 528, 4455, 660, 726, 168, 13, 4], [1, 28, 199, 253, 2530, 231, 6798, 66, 4917, 330, 891, 113, 24, 3], [1, 29, 186, 330, 2255, 891, 5676, 1452, 3663, 1155, 506, 234, 1, 5], [1, 29, 187, 319, 2310, 726, 6006, 990, 4125, 825, 671, 179, 12, 4], [1, 29, 188, 308, 2365, 561, 6336, 528, 4587, 495, 836, 124, 23, 3], [1, 29, 189, 297, 2420, 396, 6666, 66, 5049, 165, 1001, 69, 34, 2], [1, 30, 175, 385, 2090, 1221, 5214, 1914, 3333, 1320, 451, 245, 0, 5], [1, 30, 176, 374, 2145, 1056, 5544, 1452, 3795, 990, 616, 190, 11, 4], [1, 30, 177, 363, 2200, 891, 5874, 990, 4257, 660, 781, 135, 22, 3], [1, 30, 178, 352, 2255, 726, 6204, 528, 4719, 330, 946, 80, 33, 2], [1, 30, 179, 341, 2310, 561, 6534, 66, 5181, 0, 1111, 25, 44, 1], [1, 31, 165, 429, 1980, 1386, 5082, 1914, 3465, 1155, 561, 201, 10, 4], [1, 31, 166, 418, 2035, 1221, 5412, 1452, 3927, 825, 726, 146, 21, 3], [1, 31, 167, 407, 2090, 1056, 5742, 990, 4389, 495, 891, 91, 32, 2], [1, 31, 168, 396, 2145, 891, 6072, 528, 4851, 165, 1056, 36, 43, 1], [1, 32, 154, 484, 1815, 1716, 4620, 2376, 3135, 1320, 506, 212, 9, 4], [1, 32, 155, 473, 1870, 1551, 4950, 1914, 3597, 990, 671, 157, 20, 3], [1, 32, 156, 462, 1925, 1386, 5280, 1452, 4059, 660, 836, 102, 31, 2], [1, 32, 157, 451, 1980, 1221, 5610, 990, 4521, 330, 1001, 47, 42, 1], [1, 33, 143, 539, 1650, 2046, 4158, 2838, 2805, 1485, 451, 223, 8, 4], [1, 33, 144, 528, 1705, 1881, 4488, 2376, 3267, 1155, 616, 168, 19, 3], [1, 33, 145, 517, 1760, 1716, 4818, 1914, 3729, 825, 781, 113, 30, 2], [1, 33, 146, 506, 1815, 1551, 5148, 1452, 4191, 495, 946, 58, 41, 1], [1, 33, 147, 495, 1870, 1386, 5478, 990, 4653, 165, 1111, 3, 52, 0], [1, 34, 132, 594, 1485, 2376, 3696, 3300, 2475, 1650, 396, 234, 7, 4], [1, 34, 133, 583, 1540, 2211, 4026, 2838, 2937, 1320, 561, 179, 18, 3], [1, 34, 134, 572, 1595, 2046, 4356, 2376, 3399, 990, 726, 124, 29, 2], [1, 34, 135, 561, 1650, 1881, 4686, 1914, 3861, 660, 891, 69, 40, 1], [1, 34, 136, 550, 1705, 1716, 5016, 1452, 4323, 330, 1056, 14, 51, 0], [1, 35, 121, 649, 1320, 2706, 3234, 3762, 2145, 1815, 341, 245, 6, 4], [1, 35, 122, 638, 1375, 2541, 3564, 3300, 2607, 1485, 506, 190, 17, 3], [1, 35, 123, 627, 1430, 2376, 3894, 2838, 3069, 1155, 671, 135, 28, 2], [1, 35, 124, 616, 1485, 2211, 4224, 2376, 3531, 825, 836, 80, 39, 1], [1, 35, 125, 605, 1540, 2046, 4554, 1914, 3993, 495, 1001, 25, 50, 0], [1, 36, 110, 704, 1155, 3036, 2772, 4224, 1815, 1980, 286, 256, 5, 4], [1, 36, 111, 693, 1210, 2871, 3102, 3762, 2277, 1650, 451, 201, 16, 3], [1, 36, 112, 682, 1265, 2706, 3432, 3300, 2739, 1320, 616, 146, 27, 2], [1, 36, 113, 671, 1320, 2541, 3762, 2838, 3201, 990, 781, 91, 38, 1], [1, 36, 114, 660, 1375, 2376, 4092, 2376, 3663, 660, 946, 36, 49, 0], [1, 37, 99, 759, 990, 3366, 2310, 4686, 1485, 2145, 231, 267, 4, 4], [1, 37, 100, 748, 1045, 3201, 2640, 4224, 1947, 1815, 396, 212, 15, 3], [1, 37, 101, 737, 1100, 3036, 2970, 3762, 2409, 1485, 561, 157, 26, 2], [1, 37, 102, 726, 1155, 2871, 3300, 3300, 2871, 1155, 726, 102, 37, 1], [1, 37, 103, 715, 1210, 2706, 3630, 2838, 3333, 825, 891, 47, 48, 0], [1, 38, 88, 814, 825, 3696, 1848, 5148, 1155, 2310, 176, 278, 3, 4], [1, 38, 89, 803, 880, 3531, 2178, 4686, 1617, 1980, 341, 223, 14, 3], [1, 38, 90, 792, 935, 3366, 2508, 4224, 2079, 1650, 506, 168, 25, 2], [1, 38, 91, 781, 990, 3201, 2838, 3762, 2541, 1320, 671, 113, 36, 1], [1, 38, 92, 770, 1045, 3036, 3168, 3300, 3003, 990, 836, 58, 47, 0], [1, 39, 77, 869, 660, 4026, 1386, 5610, 825, 2475, 121, 289, 2, 4], [1, 39, 78, 858, 715, 3861, 1716, 5148, 1287, 2145, 286, 234, 13, 3], [1, 39, 79, 847, 770, 3696, 2046, 4686, 1749, 1815, 451, 179, 24, 2], [1, 39, 80, 836, 825, 3531, 2376, 4224, 2211, 1485, 616, 124, 35, 1], [1, 39, 81, 825, 880, 3366, 2706, 3762, 2673, 1155, 781, 69, 46, 0], [1, 40, 66, 924, 495, 4356, 924, 6072, 495, 2640, 66, 300, 1, 4], [1, 40, 67, 913, 550, 4191, 1254, 5610, 957, 2310, 231, 245, 12, 3], [1, 40, 68, 902, 605, 4026, 1584, 5148, 1419, 1980, 396, 190, 23, 2], [1, 40, 69, 891, 660, 3861, 1914, 4686, 1881, 1650, 561, 135, 34, 1], [1, 40, 70, 880, 715, 3696, 2244, 4224, 2343, 1320, 726, 80, 45, 0], [1, 41, 55, 979, 330, 4686, 462, 6534, 165, 2805, 11, 311, 0, 4], [1, 41, 56, 968, 385, 4521, 792, 6072, 627, 2475, 176, 256, 11, 3], [1, 41, 57, 957, 440, 4356, 1122, 5610, 1089, 2145, 341, 201, 22, 2], [1, 41, 58, 946, 495, 4191, 1452, 5148, 1551, 1815, 506, 146, 33, 1], [1, 41, 59, 935, 550, 4026, 1782, 4686, 2013, 1485, 671, 91, 44, 0], [1, 42, 45, 1023, 220, 4851, 330, 6534, 297, 2640, 121, 267, 10, 3], [1, 42, 46, 1012, 275, 4686, 660, 6072, 759, 2310, 286, 212, 21, 2], [1, 42, 47, 1001, 330, 4521, 990, 5610, 1221, 1980, 451, 157, 32, 1], [1, 42, 48, 990, 385, 4356, 1320, 5148, 1683, 1650, 616, 102, 43, 0], [1, 43, 35, 1067, 110, 5016, 198, 6534, 429, 2475, 231, 223, 20, 2], [1, 43, 36, 1056, 165, 4851, 528, 6072, 891, 2145, 396, 168, 31, 1], [1, 43, 37, 1045, 220, 4686, 858, 5610, 1353, 1815, 561, 113, 42, 0], [1, 44, 25, 1111, 0, 5181, 66, 6534, 561, 2310, 341, 179, 30, 1], [1, 44, 26, 1100, 55, 5016, 396, 6072, 1023, 1980, 506, 124, 41, 0], [2, 17, 252, 110, 2750, 99, 6600, 660, 4158, 935, 572, 222, 2, 5], [2, 18, 241, 165, 2585, 429, 6138, 1122, 3828, 1100, 517, 233, 1, 5], [2, 18, 242, 154, 2640, 264, 6468, 660, 4290, 770, 682, 178, 12, 4], [2, 18, 243, 143, 2695, 99, 6798, 198, 4752, 440, 847, 123, 23, 3], [2, 19, 230, 220, 2420, 759, 5676, 1584, 3498, 1265, 462, 244, 0, 5], [2, 19, 231, 209, 2475, 594, 6006, 1122, 3960, 935, 627, 189, 11, 4], [2, 19, 232, 198, 2530, 429, 6336, 660, 4422, 605, 792, 134, 22, 3], [2, 19, 233, 187, 2585, 264, 6666, 198, 4884, 275, 957, 79, 33, 2], [2, 20, 220, 264, 2310, 924, 5544, 1584, 3630, 1100, 572, 200, 10, 4], [2, 20, 221, 253, 2365, 759, 5874, 1122, 4092, 770, 737, 145, 21, 3], [2, 20, 222, 242, 2420, 594, 6204, 660, 4554, 440, 902, 90, 32, 2], [2, 20, 223, 231, 2475, 429, 6534, 198, 5016, 110, 1067, 35, 43, 1], [2, 21, 209, 319, 2145, 1254, 5082, 2046, 3300, 1265, 517, 211, 9, 4], [2, 21, 210, 308, 2200, 1089, 5412, 1584, 3762, 935, 682, 156, 20, 3], [2, 21, 211, 297, 2255, 924, 5742, 1122, 4224, 605, 847, 101, 31, 2], [2, 21, 212, 286, 2310, 759, 6072, 660, 4686, 275, 1012, 46, 42, 1], [2, 22, 198, 374, 1980, 1584, 4620, 2508, 2970, 1430, 462, 222, 8, 4], [2, 22, 199, 363, 2035, 1419, 4950, 2046, 3432, 1100, 627, 167, 19, 3], [2, 22, 200, 352, 2090, 1254, 5280, 1584, 3894, 770, 792, 112, 30, 2], [2, 22, 201, 341, 2145, 1089, 5610, 1122, 4356, 440, 957, 57, 41, 1], [2, 22, 202, 330, 2200, 924, 5940, 660, 4818, 110, 1122, 2, 52, 0], [2, 23, 187, 429, 1815, 1914, 4158, 2970, 2640, 1595, 407, 233, 7, 4], [2, 23, 188, 418, 1870, 1749, 4488, 2508, 3102, 1265, 572, 178, 18, 3], [2, 23, 189, 407, 1925, 1584, 4818, 2046, 3564, 935, 737, 123, 29, 2], [2, 23, 190, 396, 1980, 1419, 5148, 1584, 4026, 605, 902, 68, 40, 1], [2, 23, 191, 385, 2035, 1254, 5478, 1122, 4488, 275, 1067, 13, 51, 0], [2, 24, 176, 484, 1650, 2244, 3696, 3432, 2310, 1760, 352, 244, 6, 4], [2, 24, 177, 473, 1705, 2079, 4026, 2970, 2772, 1430, 517, 189, 17, 3], [2, 24, 178, 462, 1760, 1914, 4356, 2508, 3234, 1100, 682, 134, 28, 2], [2, 24, 179, 451, 1815, 1749, 4686, 2046, 3696, 770, 847, 79, 39, 1], [2, 24, 180, 440, 1870, 1584, 5016, 1584, 4158, 440, 1012, 24, 50, 0], [2, 25, 165, 539, 1485, 2574, 3234, 3894, 1980, 1925, 297, 255, 5, 4], [2, 25, 166, 528, 1540, 2409, 3564, 3432, 2442, 1595, 462, 200, 16, 3], [2, 25, 167, 517, 1595, 2244, 3894, 2970, 2904, 1265, 627, 145, 27, 2], [2, 25, 168, 506, 1650, 2079, 4224, 2508, 3366, 935, 792, 90, 38, 1], [2, 25, 169, 495, 1705, 1914, 4554, 2046, 3828, 605, 957, 35, 49, 0], [2, 26, 154, 594, 1320, 2904, 2772, 4356, 1650, 2090, 242, 266, 4, 4], [2, 26, 155, 583, 1375, 2739, 3102, 3894, 2112, 1760, 407, 211, 15, 3], [2, 26, 156, 572, 1430, 2574, 3432, 3432, 2574, 1430, 572, 156, 26, 2], [2, 26, 157, 561, 1485, 2409, 3762, 2970, 3036, 1100, 737, 101, 37, 1], [2, 26, 158, 550, 1540, 2244, 4092, 2508, 3498, 770, 902, 46, 48, 0], [2, 27, 143, 649, 1155, 3234, 2310, 4818, 1320, 2255, 187, 277, 3, 4], [2, 27, 144, 638, 1210, 3069, 2640, 4356, 1782, 1925, 352, 222, 14, 3], [2, 27, 145, 627, 1265, 2904, 2970, 3894, 2244, 1595, 517, 167, 25, 2], [2, 27, 146, 616, 1320, 2739, 3300, 3432, 2706, 1265, 682, 112, 36, 1], [2, 27, 147, 605, 1375, 2574, 3630, 2970, 3168, 935, 847, 57, 47, 0], [2, 28, 132, 704, 990, 3564, 1848, 5280, 990, 2420, 132, 288, 2, 4], [2, 28, 133, 693, 1045, 3399, 2178, 4818, 1452, 2090, 297, 233, 13, 3], [2, 28, 134, 682, 1100, 3234, 2508, 4356, 1914, 1760, 462, 178, 24, 2], [2, 28, 135, 671, 1155, 3069, 2838, 3894, 2376, 1430, 627, 123, 35, 1], [2, 28, 136, 660, 1210, 2904, 3168, 3432, 2838, 1100, 792, 68, 46, 0], [2, 29, 121, 759, 825, 3894, 1386, 5742, 660, 2585, 77, 299, 1, 4], [2, 29, 122, 748, 880, 3729, 1716, 5280, 1122, 2255, 242, 244, 12, 3], [2, 29, 123, 737, 935, 3564, 2046, 4818, 1584, 1925, 407, 189, 23, 2], [2, 29, 124, 726, 990, 3399, 2376, 4356, 2046, 1595, 572, 134, 34, 1], [2, 29, 125, 715, 1045, 3234, 2706, 3894, 2508, 1265, 737, 79, 45, 0], [2, 30, 110, 814, 660, 4224, 924, 6204, 330, 2750, 22, 310, 0, 4], [2, 30, 111, 803, 715, 4059, 1254, 5742, 792, 2420, 187, 255, 11, 3], [2, 30, 112, 792, 770, 3894, 1584, 5280, 1254, 2090, 352, 200, 22, 2], [2, 30, 113, 781, 825, 3729, 1914, 4818, 1716, 1760, 517, 145, 33, 1], [2, 30, 114, 770, 880, 3564, 2244, 4356, 2178, 1430, 682, 90, 44, 0], [2, 31, 100, 858, 550, 4389, 792, 6204, 462, 2585, 132, 266, 10, 3], [2, 31, 101, 847, 605, 4224, 1122, 5742, 924, 2255, 297, 211, 21, 2], [2, 31, 102, 836, 660, 4059, 1452, 5280, 1386, 1925, 462, 156, 32, 1], [2, 31, 103, 825, 715, 3894, 1782, 4818, 1848, 1595, 627, 101, 43, 0], [2, 32, 89, 913, 385, 4719, 330, 6666, 132, 2750, 77, 277, 9, 3], [2, 32, 90, 902, 440, 4554, 660, 6204, 594, 2420, 242, 222, 20, 2], [2, 32, 91, 891, 495, 4389, 990, 5742, 1056, 2090, 407, 167, 31, 1], [2, 32, 92, 880, 550, 4224, 1320, 5280, 1518, 1760, 572, 112, 42, 0], [2, 33, 79, 957, 275, 4884, 198, 6666, 264, 2585, 187, 233, 19, 2], [2, 33, 80, 946, 330, 4719, 528, 6204, 726, 2255, 352, 178, 30, 1], [2, 33, 81, 935, 385, 4554, 858, 5742, 1188, 1925, 517, 123, 41, 0], [2, 34, 69, 1001, 165, 5049, 66, 6666, 396, 2420, 297, 189, 29, 1], [2, 34, 70, 990, 220, 4884, 396, 6204, 858, 2090, 462, 134, 40, 0], [3, 8, 285, 55, 2750, 297, 6138, 1254, 3663, 1210, 473, 243, 0, 5], [3, 8, 286, 44, 2805, 132, 6468, 792, 4125, 880, 638, 188, 11, 4], [3, 9, 275, 99, 2640, 462, 6006, 1254, 3795, 1045, 583, 199, 10, 4], [3, 9, 276, 88, 2695, 297, 6336, 792, 4257, 715, 748, 144, 21, 3], [3, 9, 277, 77, 2750, 132, 6666, 330, 4719, 385, 913, 89, 32, 2], [3, 10, 264, 154, 2475, 792, 5544, 1716, 3465, 1210, 528, 210, 9, 4], [3, 10, 265, 143, 2530, 627, 5874, 1254, 3927, 880, 693, 155, 20, 3], [3, 10, 266, 132, 2585, 462, 6204, 792, 4389, 550, 858, 100, 31, 2], [3, 10, 267, 121, 2640, 297, 6534, 330, 4851, 220, 1023, 45, 42, 1], [3, 11, 253, 209, 2310, 1122, 5082, 2178, 3135, 1375, 473, 221, 8, 4], [3, 11, 254, 198, 2365, 957, 5412, 1716, 3597, 1045, 638, 166, 19, 3], [3, 11, 255, 187, 2420, 792, 5742, 1254, 4059, 715, 803, 111, 30, 2], [3, 11, 256, 176, 2475, 627, 6072, 792, 4521, 385, 968, 56, 41, 1], [3, 11, 257, 165, 2530, 462, 6402, 330, 4983, 55, 1133, 1, 52, 0], [3, 12, 242, 264, 2145, 1452, 4620, 2640, 2805, 1540, 418, 232, 7, 4], [3, 12, 243, 253, 2200, 1287, 4950, 2178, 3267, 1210, 583, 177, 18, 3], [3, 12, 244, 242, 2255, 1122, 5280, 1716, 3729, 880, 748, 122, 29, 2], [3, 12, 245, 231, 2310, 957, 5610, 1254, 4191, 550, 913, 67, 40, 1], [3, 12, 246, 220, 2365, 792, 5940, 792, 4653, 220, 1078, 12, 51, 0], [3, 13, 231, 319, 1980, 1782, 4158, 3102, 2475, 1705, 363, 243, 6, 4], [3, 13, 232, 308, 2035, 1617, 4488, 2640, 2937, 1375, 528, 188, 17, 3], [3, 13, 233, 297, 2090, 1452, 4818, 2178, 3399, 1045, 693, 133, 28, 2], [3, 13, 234, 286, 2145, 1287, 5148, 1716, 3861, 715, 858, 78, 39, 1], [3, 13, 235, 275, 2200, 1122, 5478, 1254, 4323, 385, 1023, 23, 50, 0], [3, 14, 220, 374, 1815, 2112, 3696, 3564, 2145, 1870, 308, 254, 5, 4], [3, 14, 221, 363, 1870, 1947, 4026, 3102, 2607, 1540, 473, 199, 16, 3], [3, 14, 222, 352, 1925, 1782, 4356, 2640, 3069, 1210, 638, 144, 27, 2], [3, 14, 223, 341, 1980, 1617, 4686, 2178, 3531, 880, 803, 89, 38, 1], [3, 14, 224, 330, 2035, 1452, 5016, 1716, 3993, 550, 968, 34, 49, 0], [3, 15, 209, 429, 1650, 2442, 3234, 4026, 1815, 2035, 253, 265, 4, 4], [3, 15, 210, 418, 1705, 2277, 3564, 3564, 2277, 1705, 418, 210, 15, 3], [3, 15, 211, 407, 1760, 2112, 3894, 3102, 2739, 1375, 583, 155, 26, 2], [3, 15, 212, 396, 1815, 1947, 4224, 2640, 3201, 1045, 748, 100, 37, 1], [3, 15, 213, 385, 1870, 1782, 4554, 2178, 3663, 715, 913, 45, 48, 0], [3, 16, 198, 484, 1485, 2772, 2772, 4488, 1485, 2200, 198, 276, 3, 4], [3, 16, 199, 473, 1540, 2607, 3102, 4026, 1947, 1870, 363, 221, 14, 3], [3, 16, 200, 462, 1595, 2442, 3432, 3564, 2409, 1540, 528, 166, 25, 2], [3, 16, 201, 451, 1650, 2277, 3762, 3102, 2871, 1210, 693, 111, 36, 1], [3, 16, 202, 440, 1705, 2112, 4092, 2640, 3333, 880, 858, 56, 47, 0], [3, 17, 187, 539, 1320, 3102, 2310, 4950, 1155, 2365, 143, 287, 2, 4], [3, 17, 188, 528, 1375, 2937, 2640, 4488, 1617, 2035, 308, 232, 13, 3], [3, 17, 189, 517, 1430, 2772, 2970, 4026, 2079, 1705, 473, 177, 24, 2], [3, 17, 190, 506, 1485, 2607, 3300, 3564, 2541, 1375, 638, 122, 35, 1], [3, 17, 191, 495, 1540, 2442, 3630, 3102, 3003, 1045, 803, 67, 46, 0], [3, 18, 176, 594, 1155, 3432, 1848, 5412, 825, 2530, 88, 298, 1, 4], [3, 18, 177, 583, 1210, 3267, 2178, 4950, 1287, 2200, 253, 243, 12, 3], [3, 18, 178, 572, 1265, 3102, 2508, 4488, 1749, 1870, 418, 188, 23, 2], [3, 18, 179, 561, 1320, 2937, 2838, 4026, 2211, 1540, 583, 133, 34, 1], [3, 18, 180, 550, 1375, 2772, 3168, 3564, 2673, 1210, 748, 78, 45, 0], [3, 19, 165, 649, 990, 3762, 1386, 5874, 495, 2695, 33, 309, 0, 4], [3, 19, 166, 638, 1045, 3597, 1716, 5412, 957, 2365, 198, 254, 11, 3], [3, 19, 167, 627, 1100, 3432, 2046, 4950, 1419, 2035, 363, 199, 22, 2], [3, 19, 168, 616, 1155, 3267, 2376, 4488, 1881, 1705, 528, 144, 33, 1], [3, 19, 169, 605, 1210, 3102, 2706, 4026, 2343, 1375, 693, 89, 44, 0], [3, 20, 155, 693, 880, 3927, 1254, 5874, 627, 2530, 143, 265, 10, 3], [3, 20, 156, 682, 935, 3762, 1584, 5412, 1089, 2200, 308, 210, 21, 2], [3, 20, 157, 671, 990, 3597, 1914, 4950, 1551, 1870, 473, 155, 32, 1], [3, 20, 158, 660, 1045, 3432, 2244, 4488, 2013, 1540, 638, 100, 43, 0], [3, 21, 144, 748, 715, 4257, 792, 6336, 297, 2695, 88, 276, 9, 3], [3, 21, 145, 737, 770, 4092, 1122, 5874, 759, 2365, 253, 221, 20, 2], [3, 21, 146, 726, 825, 3927, 1452, 5412, 1221, 2035, 418, 166, 31, 1], [3, 21, 147, 715, 880, 3762, 1782, 4950, 1683, 1705, 583, 111, 42, 0], [3, 22, 134, 792, 605, 4422, 660, 6336, 429, 2530, 198, 232, 19, 2], [3, 22, 135, 781, 660, 4257, 990, 5874, 891, 2200, 363, 177, 30, 1], [3, 22, 136, 770, 715, 4092, 1320, 5412, 1353, 1870, 528, 122, 41, 0], [3, 23, 123, 847, 440, 4752, 198, 6798, 99, 2695, 143, 243, 18, 2], [3, 23, 124, 836, 495, 4587, 528, 6336, 561, 2365, 308, 188, 29, 1], [3, 23, 125, 825, 550, 4422, 858, 5874, 1023, 2035, 473, 133, 40, 0], [3, 24, 113, 891, 330, 4917, 66, 6798, 231, 2530, 253, 199, 28, 1], [3, 24, 114, 880, 385, 4752, 396, 6336, 693, 2200, 418, 144, 39, 0], [4, 0, 308, 44, 2640, 660, 5544, 1848, 3300, 1320, 484, 220, 8, 4], [4, 0, 309, 33, 2695, 495, 5874, 1386, 3762, 990, 649, 165, 19, 3], [4, 0, 310, 22, 2750, 330, 6204, 924, 4224, 660, 814, 110, 30, 2], [4, 0, 311, 11, 2805, 165, 6534, 462, 4686, 330, 979, 55, 41, 1], [4, 0, 312, 0, 2860, 0, 6864, 0, 5148, 0, 1144, 0, 52, 0], [4, 1, 297, 99, 2475, 990, 5082, 2310, 2970, 1485, 429, 231, 7, 4], [4, 1, 298, 88, 2530, 825, 5412, 1848, 3432, 1155, 594, 176, 18, 3], [4, 1, 299, 77, 2585, 660, 5742, 1386, 3894, 825, 759, 121, 29, 2], [4, 1, 300, 66, 2640, 495, 6072, 924, 4356, 495, 924, 66, 40, 1], [4, 1, 301, 55, 2695, 330, 6402, 462, 4818, 165, 1089, 11, 51, 0], [4, 2, 286, 154, 2310, 1320, 4620, 2772, 2640, 1650, 374, 242, 6, 4], [4, 2, 287, 143, 2365, 1155, 4950, 2310, 3102, 1320, 539, 187, 17, 3], [4, 2, 288, 132, 2420, 990, 5280, 1848, 3564, 990, 704, 132, 28, 2], [4, 2, 289, 121, 2475, 825, 5610, 1386, 4026, 660, 869, 77, 39, 1], [4, 2, 290, 110, 2530, 660, 5940, 924, 4488, 330, 1034, 22, 50, 0], [4, 3, 275, 209, 2145, 1650, 4158, 3234, 2310, 1815, 319, 253, 5, 4], [4, 3, 276, 198, 2200, 1485, 4488, 2772, 2772, 1485, 484, 198, 16, 3], [4, 3, 277, 187, 2255, 1320, 4818, 2310, 3234, 1155, 649, 143, 27, 2], [4, 3, 278, 176, 2310, 1155, 5148, 1848, 3696, 825, 814, 88, 38, 1], [4, 3, 279, 165, 2365, 990, 5478, 1386, 4158, 495, 979, 33, 49, 0], [4, 4, 264, 264, 1980, 1980, 3696, 3696, 1980, 1980, 264, 264, 4, 4], [4, 4, 265, 253, 2035, 1815, 4026, 3234, 2442, 1650, 429, 209, 15, 3], [4, 4, 266, 242, 2090, 1650, 4356, 2772, 2904, 1320, 594, 154, 26, 2], [4, 4, 267, 231, 2145, 1485, 4686, 2310, 3366, 990, 759, 99, 37, 1], [4, 4, 268, 220, 2200, 1320, 5016, 1848, 3828, 660, 924, 44, 48, 0], [4, 5, 253, 319, 1815, 2310, 3234, 4158, 1650, 2145, 209, 275, 3, 4], [4, 5, 254, 308, 1870, 2145, 3564, 3696, 2112, 1815, 374, 220, 14, 3], [4, 5, 255, 297, 1925, 1980, 3894, 3234, 2574, 1485, 539, 165, 25, 2], [4, 5, 256, 286, 1980, 1815, 4224, 2772, 3036, 1155, 704, 110, 36, 1], [4, 5, 257, 275, 2035, 1650, 4554, 2310, 3498, 825, 869, 55, 47, 0], [4, 6, 242, 374, 1650, 2640, 2772, 4620, 1320, 2310, 154, 286, 2, 4], [4, 6, 243, 363, 1705, 2475, 3102, 4158, 1782, 1980, 319, 231, 13, 3], [4, 6, 244, 352, 1760, 2310, 3432, 3696, 2244, 1650, 484, 176, 24, 2], [4, 6, 245, 341, 1815, 2145, 3762, 3234, 2706, 1320, 649, 121, 35, 1], [4, 6, 246, 330, 1870, 1980, 4092, 2772, 3168, 990, 814, 66, 46, 0], [4, 7, 231, 429, 1485, 2970, 2310, 5082, 990, 2475, 99, 297, 1, 4], [4, 7, 232, 418, 1540, 2805, 2640, 4620, 1452, 2145, 264, 242, 12, 3], [4, 7, 233, 407, 1595, 2640, 2970, 4158, 1914, 1815, 429, 187, 23, 2], [4, 7, 234, 396, 1650, 2475, 3300, 3696, 2376, 1485, 594, 132, 34, 1], [4, 7, 235, 385, 1705, 2310, 3630, 3234, 2838, 1155, 759, 77, 45, 0], [4, 8, 220, 484, 1320, 3300, 1848, 5544, 660, 2640, 44, 308, 0, 4], [4, 8, 221, 473, 1375, 3135, 2178, 5082, 1122, 2310, 209, 253, 11, 3], [4, 8, 222, 462, 1430, 2970, 2508, 4620, 1584, 1980, 374, 198, 22, 2], [4, 8, 223, 451, 1485, 2805, 2838, 4158, 2046, 1650, 539, 143, 33, 1], [4, 8, 224, 440, 1540, 2640, 3168, 3696, 2508, 1320, 704, 88, 44, 0], [4, 9, 210, 528, 1210, 3465, 1716, 5544, 792, 2475, 154, 264, 10, 3], [4, 9, 211, 517, 1265, 3300, 2046, 5082, 1254, 2145, 319, 209, 21, 2], [4, 9, 212, 506, 1320, 3135, 2376, 4620, 1716, 1815, 484, 154, 32, 1], [4, 9, 213, 495, 1375, 2970, 2706, 4158, 2178, 1485, 649, 99, 43, 0], [4, 10, 199, 583, 1045, 3795, 1254, 6006, 462, 2640, 99, 275, 9, 3], [4, 10, 200, 572, 1100, 3630, 1584, 5544, 924, 2310, 264, 220, 20, 2], [4, 10, 201, 561, 1155, 3465, 1914, 5082, 1386, 1980, 429, 165, 31, 1], [4, 10, 202, 550, 1210, 3300, 2244, 4620, 1848, 1650, 594, 110, 42, 0], [4, 11, 188, 638, 880, 4125, 792, 6468, 132, 2805, 44, 286, 8, 3], [4, 11, 189, 627, 935, 3960, 1122, 6006, 594, 2475, 209, 231, 19, 2], [4, 11, 190, 616, 990, 3795, 1452, 5544, 1056, 2145, 374, 176, 30, 1], [4, 11, 191, 605, 1045, 3630, 1782, 5082, 1518, 1815, 539, 121, 41, 0], [4, 12, 178, 682, 770, 4290, 660, 6468, 264, 2640, 154, 242, 18, 2], [4, 12, 179, 671, 825, 4125, 990, 6006, 726, 2310, 319, 187, 29, 1], [4, 12, 180, 660, 880, 3960, 1320, 5544, 1188, 1980, 484, 132, 40, 0], [4, 13, 168, 726, 660, 4455, 528, 6468, 396, 2475, 264, 198, 28, 1], [4, 13, 169, 715, 715, 4290, 858, 6006, 858, 2145, 429, 143, 39, 0], [4, 14, 157, 781, 495, 4785, 66, 6930, 66, 2640, 209, 209, 27, 1], [4, 14, 158, 770, 550, 4620, 396, 6468, 528, 2310, 374, 154, 38, 0], [5, 0, 243, 473, 1210, 3663, 1254, 6138, 297, 2750, 55, 285, 8, 3], [5, 0, 244, 462, 1265, 3498, 1584, 5676, 759, 2420, 220, 230, 19, 2], [5, 0, 245, 451, 1320, 3333, 1914, 5214, 1221, 2090, 385, 175, 30, 1], [5, 0, 246, 440, 1375, 3168, 2244, 4752, 1683, 1760, 550, 120, 41, 0], [5, 1, 233, 517, 1100, 3828, 1122, 6138, 429, 2585, 165, 241, 18, 2], [5, 1, 234, 506, 1155, 3663, 1452, 5676, 891, 2255, 330, 186, 29, 1], [5, 1, 235, 495, 1210, 3498, 1782, 5214, 1353, 1925, 495, 131, 40, 0], [5, 2, 222, 572, 935, 4158, 660, 6600, 99, 2750, 110, 252, 17, 2], [5, 2, 223, 561, 990, 3993, 990, 6138, 561, 2420, 275, 197, 28, 1], [5, 2, 224, 550, 1045, 3828, 1320, 5676, 1023, 2090, 440, 142, 39, 0], [5, 3, 212, 616, 825, 4323, 528, 6600, 231, 2585, 220, 208, 27, 1], [5, 3, 213, 605, 880, 4158, 858, 6138, 693, 2255, 385, 153, 38, 0], [5, 4, 202, 660, 715, 4488, 396, 6600, 363, 2420, 330, 164, 37, 0]}
(14, 16384, 10) has 985 possible DDs: {[1, 5, 177, 10, 1793, 1067, 3201, 4620, 891, 3883, 11, 650, 67, 5, 3], [1, 6, 167, 54, 1683, 1232, 3069, 4620, 1023, 3718, 121, 606, 77, 4, 3], [1, 6, 168, 43, 1738, 1067, 3399, 4158, 1485, 3388, 286, 551, 88, 3, 3], [1, 6, 169, 32, 1793, 902, 3729, 3696, 1947, 3058, 451, 496, 99, 2, 3], [1, 6, 169, 33, 1782, 957, 3564, 4026, 1485, 3520, 121, 661, 44, 13, 2], [1, 6, 170, 21, 1848, 737, 4059, 3234, 2409, 2728, 616, 441, 110, 1, 3], [1, 6, 170, 22, 1837, 792, 3894, 3564, 1947, 3190, 286, 606, 55, 12, 2], [1, 6, 171, 10, 1903, 572, 4389, 2772, 2871, 2398, 781, 386, 121, 0, 3], [1, 6, 171, 11, 1892, 627, 4224, 3102, 2409, 2860, 451, 551, 66, 11, 2], [1, 6, 171, 12, 1881, 682, 4059, 3432, 1947, 3322, 121, 716, 11, 22, 1], [1, 6, 172, 0, 1947, 462, 4554, 2640, 2871, 2530, 616, 496, 77, 10, 2], [1, 6, 172, 1, 1936, 517, 4389, 2970, 2409, 2992, 286, 661, 22, 21, 1], [1, 7, 156, 109, 1518, 1562, 2607, 5082, 693, 3883, 66, 617, 76, 4, 3], [1, 7, 157, 98, 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(15, 16384, 10) has 2596 possible DDs: {[1, 0, 86, 199, 428, 2607, 275, 5808, 1617, 2574, 2244, 55, 466, 19, 3, 2], [1, 0, 86, 200, 417, 2662, 110, 6138, 1155, 3036, 1914, 220, 411, 30, 2, 2], [1, 0, 87, 188, 483, 2442, 605, 5346, 2079, 2244, 2409, 0, 477, 18, 3, 2], [1, 0, 87, 189, 472, 2497, 440, 5676, 1617, 2706, 2079, 165, 422, 29, 2, 2], [1, 0, 87, 190, 461, 2552, 275, 6006, 1155, 3168, 1749, 330, 367, 40, 1, 2], [1, 0, 87, 191, 450, 2607, 110, 6336, 693, 3630, 1419, 495, 312, 51, 0, 2], [1, 0, 87, 192, 440, 2651, 0, 6501, 561, 3630, 1551, 330, 422, 7, 10, 1], [1, 0, 88, 178, 527, 2332, 770, 5214, 2079, 2376, 2244, 110, 433, 28, 2, 2], [1, 0, 88, 179, 516, 2387, 605, 5544, 1617, 2838, 1914, 275, 378, 39, 1, 2], [1, 0, 88, 180, 505, 2442, 440, 5874, 1155, 3300, 1584, 440, 323, 50, 0, 2], [1, 0, 88, 181, 495, 2486, 330, 6039, 1023, 3300, 1716, 275, 433, 6, 10, 1], [1, 0, 88, 182, 484, 2541, 165, 6369, 561, 3762, 1386, 440, 378, 17, 9, 1], [1, 0, 88, 183, 473, 2596, 0, 6699, 99, 4224, 1056, 605, 323, 28, 8, 1], [1, 0, 89, 167, 582, 2167, 1100, 4752, 2541, 2046, 2409, 55, 444, 27, 2, 2], [1, 0, 89, 168, 571, 2222, 935, 5082, 2079, 2508, 2079, 220, 389, 38, 1, 2], [1, 0, 89, 169, 560, 2277, 770, 5412, 1617, 2970, 1749, 385, 334, 49, 0, 2], [1, 0, 89, 170, 550, 2321, 660, 5577, 1485, 2970, 1881, 220, 444, 5, 10, 1], [1, 0, 89, 171, 539, 2376, 495, 5907, 1023, 3432, 1551, 385, 389, 16, 9, 1], [1, 0, 89, 172, 528, 2431, 330, 6237, 561, 3894, 1221, 550, 334, 27, 8, 1], [1, 0, 89, 173, 517, 2486, 165, 6567, 99, 4356, 891, 715, 279, 38, 7, 1], [1, 0, 90, 156, 637, 2002, 1430, 4290, 3003, 1716, 2574, 0, 455, 26, 2, 2], [1, 0, 90, 157, 626, 2057, 1265, 4620, 2541, 2178, 2244, 165, 400, 37, 1, 2], [1, 0, 90, 158, 615, 2112, 1100, 4950, 2079, 2640, 1914, 330, 345, 48, 0, 2], [1, 0, 90, 159, 605, 2156, 990, 5115, 1947, 2640, 2046, 165, 455, 4, 10, 1], [1, 0, 90, 160, 594, 2211, 825, 5445, 1485, 3102, 1716, 330, 400, 15, 9, 1], [1, 0, 90, 161, 583, 2266, 660, 5775, 1023, 3564, 1386, 495, 345, 26, 8, 1], [1, 0, 90, 162, 572, 2321, 495, 6105, 561, 4026, 1056, 660, 290, 37, 7, 1], [1, 0, 90, 163, 561, 2376, 330, 6435, 99, 4488, 726, 825, 235, 48, 6, 1], [1, 0, 91, 146, 681, 1892, 1595, 4158, 3003, 1848, 2409, 110, 411, 36, 1, 2], [1, 0, 91, 147, 670, 1947, 1430, 4488, 2541, 2310, 2079, 275, 356, 47, 0, 2], [1, 0, 91, 148, 660, 1991, 1320, 4653, 2409, 2310, 2211, 110, 466, 3, 10, 1], [1, 0, 91, 149, 649, 2046, 1155, 4983, 1947, 2772, 1881, 275, 411, 14, 9, 1], [1, 0, 91, 150, 638, 2101, 990, 5313, 1485, 3234, 1551, 440, 356, 25, 8, 1], [1, 0, 91, 151, 627, 2156, 825, 5643, 1023, 3696, 1221, 605, 301, 36, 7, 1], [1, 0, 91, 152, 616, 2211, 660, 5973, 561, 4158, 891, 770, 246, 47, 6, 1], [1, 0, 91, 153, 605, 2266, 495, 6303, 99, 4620, 561, 935, 191, 58, 5, 1], [1, 0, 91, 153, 606, 2255, 550, 6138, 429, 4158, 1023, 605, 356, 3, 16, 0], [1, 0, 92, 135, 736, 1727, 1925, 3696, 3465, 1518, 2574, 55, 422, 35, 1, 2], [1, 0, 92, 136, 725, 1782, 1760, 4026, 3003, 1980, 2244, 220, 367, 46, 0, 2], [1, 0, 92, 137, 715, 1826, 1650, 4191, 2871, 1980, 2376, 55, 477, 2, 10, 1], [1, 0, 92, 138, 704, 1881, 1485, 4521, 2409, 2442, 2046, 220, 422, 13, 9, 1], [1, 0, 92, 139, 693, 1936, 1320, 4851, 1947, 2904, 1716, 385, 367, 24, 8, 1], [1, 0, 92, 140, 682, 1991, 1155, 5181, 1485, 3366, 1386, 550, 312, 35, 7, 1], [1, 0, 92, 141, 671, 2046, 990, 5511, 1023, 3828, 1056, 715, 257, 46, 6, 1], [1, 0, 92, 142, 660, 2101, 825, 5841, 561, 4290, 726, 880, 202, 57, 5, 1], [1, 0, 92, 142, 661, 2090, 880, 5676, 891, 3828, 1188, 550, 367, 2, 16, 0], [1, 0, 92, 143, 649, 2156, 660, 6171, 99, 4752, 396, 1045, 147, 68, 4, 1], [1, 0, 92, 143, 650, 2145, 715, 6006, 429, 4290, 858, 715, 312, 13, 15, 0], [1, 0, 93, 124, 791, 1562, 2255, 3234, 3927, 1188, 2739, 0, 433, 34, 1, 2], [1, 0, 93, 125, 780, 1617, 2090, 3564, 3465, 1650, 2409, 165, 378, 45, 0, 2], [1, 0, 93, 126, 770, 1661, 1980, 3729, 3333, 1650, 2541, 0, 488, 1, 10, 1], [1, 0, 93, 127, 759, 1716, 1815, 4059, 2871, 2112, 2211, 165, 433, 12, 9, 1], [1, 0, 93, 128, 748, 1771, 1650, 4389, 2409, 2574, 1881, 330, 378, 23, 8, 1], [1, 0, 93, 129, 737, 1826, 1485, 4719, 1947, 3036, 1551, 495, 323, 34, 7, 1], [1, 0, 93, 130, 726, 1881, 1320, 5049, 1485, 3498, 1221, 660, 268, 45, 6, 1], [1, 0, 93, 131, 715, 1936, 1155, 5379, 1023, 3960, 891, 825, 213, 56, 5, 1], [1, 0, 93, 131, 716, 1925, 1210, 5214, 1353, 3498, 1353, 495, 378, 1, 16, 0], [1, 0, 93, 132, 704, 1991, 990, 5709, 561, 4422, 561, 990, 158, 67, 4, 1], [1, 0, 93, 132, 705, 1980, 1045, 5544, 891, 3960, 1023, 660, 323, 12, 15, 0], [1, 0, 93, 133, 693, 2046, 825, 6039, 99, 4884, 231, 1155, 103, 78, 3, 1], [1, 0, 93, 133, 694, 2035, 880, 5874, 429, 4422, 693, 825, 268, 23, 14, 0], [1, 0, 94, 114, 835, 1452, 2420, 3102, 3927, 1320, 2574, 110, 389, 44, 0, 2], [1, 0, 94, 116, 814, 1551, 2145, 3597, 3333, 1782, 2376, 110, 444, 11, 9, 1], [1, 0, 94, 117, 803, 1606, 1980, 3927, 2871, 2244, 2046, 275, 389, 22, 8, 1], [1, 0, 94, 118, 792, 1661, 1815, 4257, 2409, 2706, 1716, 440, 334, 33, 7, 1], [1, 0, 94, 119, 781, 1716, 1650, 4587, 1947, 3168, 1386, 605, 279, 44, 6, 1], [1, 0, 94, 120, 770, 1771, 1485, 4917, 1485, 3630, 1056, 770, 224, 55, 5, 1], [1, 0, 94, 120, 771, 1760, 1540, 4752, 1815, 3168, 1518, 440, 389, 0, 16, 0], [1, 0, 94, 121, 759, 1826, 1320, 5247, 1023, 4092, 726, 935, 169, 66, 4, 1], [1, 0, 94, 121, 760, 1815, 1375, 5082, 1353, 3630, 1188, 605, 334, 11, 15, 0], [1, 0, 94, 122, 748, 1881, 1155, 5577, 561, 4554, 396, 1100, 114, 77, 3, 1], [1, 0, 94, 122, 749, 1870, 1210, 5412, 891, 4092, 858, 770, 279, 22, 14, 0], [1, 0, 94, 123, 737, 1936, 990, 5907, 99, 5016, 66, 1265, 59, 88, 2, 1], [1, 0, 94, 123, 738, 1925, 1045, 5742, 429, 4554, 528, 935, 224, 33, 13, 0], [1, 0, 95, 103, 890, 1287, 2750, 2640, 4389, 990, 2739, 55, 400, 43, 0, 2], [1, 0, 95, 105, 869, 1386, 2475, 3135, 3795, 1452, 2541, 55, 455, 10, 9, 1], [1, 0, 95, 106, 858, 1441, 2310, 3465, 3333, 1914, 2211, 220, 400, 21, 8, 1], [1, 0, 95, 107, 847, 1496, 2145, 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1166, 2805, 2871, 3795, 1716, 2211, 275, 367, 30, 7, 1], [1, 0, 97, 86, 946, 1221, 2640, 3201, 3333, 2178, 1881, 440, 312, 41, 6, 1], [1, 0, 97, 87, 935, 1276, 2475, 3531, 2871, 2640, 1551, 605, 257, 52, 5, 1], [1, 0, 97, 88, 924, 1331, 2310, 3861, 2409, 3102, 1221, 770, 202, 63, 4, 1], [1, 0, 97, 88, 925, 1320, 2365, 3696, 2739, 2640, 1683, 440, 367, 8, 15, 0], [1, 0, 97, 89, 913, 1386, 2145, 4191, 1947, 3564, 891, 935, 147, 74, 3, 1], [1, 0, 97, 89, 914, 1375, 2200, 4026, 2277, 3102, 1353, 605, 312, 19, 14, 0], [1, 0, 97, 90, 902, 1441, 1980, 4521, 1485, 4026, 561, 1100, 92, 85, 2, 1], [1, 0, 97, 90, 903, 1430, 2035, 4356, 1815, 3564, 1023, 770, 257, 30, 13, 0], [1, 0, 97, 91, 891, 1496, 1815, 4851, 1023, 4488, 231, 1265, 37, 96, 1, 1], [1, 0, 97, 91, 892, 1485, 1870, 4686, 1353, 4026, 693, 935, 202, 41, 12, 0], [1, 0, 97, 92, 881, 1540, 1705, 5016, 891, 4488, 363, 1100, 147, 52, 11, 0], [1, 0, 97, 93, 870, 1595, 1540, 5346, 429, 4950, 33, 1265, 92, 63, 10, 0], [1, 0, 98, 73, 1023, 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