------- (13, 354294, 10) ALL distance distributions (10, 354294, 10) has 1 possible DDs: {[6, 120, 1080, 5760, 20160, 48384, 80640, 92160, 69120, 30720, 6144]} (11, 354294, 10) has 7 possible DDs: {[0, 66, 330, 2970, 9900, 30492, 58212, 85140, 84150, 56430, 22506, 4098], [1, 55, 385, 2805, 10230, 30030, 58674, 84810, 84315, 56375, 22517, 4097], [2, 44, 440, 2640, 10560, 29568, 59136, 84480, 84480, 56320, 22528, 4096], [3, 33, 495, 2475, 10890, 29106, 59598, 84150, 84645, 56265, 22539, 4095], [4, 22, 550, 2310, 11220, 28644, 60060, 83820, 84810, 56210, 22550, 4094], [5, 11, 605, 2145, 11550, 28182, 60522, 83490, 84975, 56155, 22561, 4093], [6, 0, 660, 1980, 11880, 27720, 60984, 83160, 85140, 56100, 22572, 4092]} (12, 354294, 10) has 133 possible DDs: {[0, 0, 396, 0, 8910, 9504, 49896, 57024, 92070, 71280, 46332, 16128, 2754], [0, 1, 385, 55, 8745, 9834, 49434, 57486, 91740, 71445, 46277, 16139, 2753], [0, 2, 374, 110, 8580, 10164, 48972, 57948, 91410, 71610, 46222, 16150, 2752], [0, 3, 363, 165, 8415, 10494, 48510, 58410, 91080, 71775, 46167, 16161, 2751], [0, 4, 352, 220, 8250, 10824, 48048, 58872, 90750, 71940, 46112, 16172, 2750], [0, 5, 341, 275, 8085, 11154, 47586, 59334, 90420, 72105, 46057, 16183, 2749], [0, 6, 330, 330, 7920, 11484, 47124, 59796, 90090, 72270, 46002, 16194, 2748], [0, 7, 319, 385, 7755, 11814, 46662, 60258, 89760, 72435, 45947, 16205, 2747], [0, 8, 308, 440, 7590, 12144, 46200, 60720, 89430, 72600, 45892, 16216, 2746], [0, 9, 297, 495, 7425, 12474, 45738, 61182, 89100, 72765, 45837, 16227, 2745], [0, 10, 286, 550, 7260, 12804, 45276, 61644, 88770, 72930, 45782, 16238, 2744], [0, 11, 275, 605, 7095, 13134, 44814, 62106, 88440, 73095, 45727, 16249, 2743], [0, 12, 264, 660, 6930, 13464, 44352, 62568, 88110, 73260, 45672, 16260, 2742], [0, 13, 253, 715, 6765, 13794, 43890, 63030, 87780, 73425, 45617, 16271, 2741], [0, 14, 242, 770, 6600, 14124, 43428, 63492, 87450, 73590, 45562, 16282, 2740], [0, 15, 231, 825, 6435, 14454, 42966, 63954, 87120, 73755, 45507, 16293, 2739], [0, 16, 220, 880, 6270, 14784, 42504, 64416, 86790, 73920, 45452, 16304, 2738], [0, 17, 209, 935, 6105, 15114, 42042, 64878, 86460, 74085, 45397, 16315, 2737], [0, 18, 198, 990, 5940, 15444, 41580, 65340, 86130, 74250, 45342, 16326, 2736], [0, 19, 187, 1045, 5775, 15774, 41118, 65802, 85800, 74415, 45287, 16337, 2735], [0, 20, 176, 1100, 5610, 16104, 40656, 66264, 85470, 74580, 45232, 16348, 2734], [0, 21, 165, 1155, 5445, 16434, 40194, 66726, 85140, 74745, 45177, 16359, 2733], [0, 22, 154, 1210, 5280, 16764, 39732, 67188, 84810, 74910, 45122, 16370, 2732], [0, 23, 143, 1265, 5115, 17094, 39270, 67650, 84480, 75075, 45067, 16381, 2731], [0, 24, 132, 1320, 4950, 17424, 38808, 68112, 84150, 75240, 45012, 16392, 2730], [0, 25, 121, 1375, 4785, 17754, 38346, 68574, 83820, 75405, 44957, 16403, 2729], [0, 26, 110, 1430, 4620, 18084, 37884, 69036, 83490, 75570, 44902, 16414, 2728], [0, 27, 99, 1485, 4455, 18414, 37422, 69498, 83160, 75735, 44847, 16425, 2727], [0, 28, 88, 1540, 4290, 18744, 36960, 69960, 82830, 75900, 44792, 16436, 2726], [0, 29, 77, 1595, 4125, 19074, 36498, 70422, 82500, 76065, 44737, 16447, 2725], [0, 30, 66, 1650, 3960, 19404, 36036, 70884, 82170, 76230, 44682, 16458, 2724], [0, 31, 55, 1705, 3795, 19734, 35574, 71346, 81840, 76395, 44627, 16469, 2723], [0, 32, 44, 1760, 3630, 20064, 35112, 71808, 81510, 76560, 44572, 16480, 2722], [0, 33, 33, 1815, 3465, 20394, 34650, 72270, 81180, 76725, 44517, 16491, 2721], [0, 34, 22, 1870, 3300, 20724, 34188, 72732, 80850, 76890, 44462, 16502, 2720], [0, 35, 11, 1925, 3135, 21054, 33726, 73194, 80520, 77055, 44407, 16513, 2719], [0, 36, 0, 1980, 2970, 21384, 33264, 73656, 80190, 77220, 44352, 16524, 2718], [1, 0, 330, 440, 7425, 12672, 45276, 61776, 88605, 73040, 45738, 16248, 2743], [1, 1, 319, 495, 7260, 13002, 44814, 62238, 88275, 73205, 45683, 16259, 2742], [1, 2, 308, 550, 7095, 13332, 44352, 62700, 87945, 73370, 45628, 16270, 2741], [1, 3, 297, 605, 6930, 13662, 43890, 63162, 87615, 73535, 45573, 16281, 2740], [1, 4, 286, 660, 6765, 13992, 43428, 63624, 87285, 73700, 45518, 16292, 2739], [1, 5, 275, 715, 6600, 14322, 42966, 64086, 86955, 73865, 45463, 16303, 2738], [1, 6, 264, 770, 6435, 14652, 42504, 64548, 86625, 74030, 45408, 16314, 2737], [1, 7, 253, 825, 6270, 14982, 42042, 65010, 86295, 74195, 45353, 16325, 2736], [1, 8, 242, 880, 6105, 15312, 41580, 65472, 85965, 74360, 45298, 16336, 2735], [1, 9, 231, 935, 5940, 15642, 41118, 65934, 85635, 74525, 45243, 16347, 2734], [1, 10, 220, 990, 5775, 15972, 40656, 66396, 85305, 74690, 45188, 16358, 2733], [1, 11, 209, 1045, 5610, 16302, 40194, 66858, 84975, 74855, 45133, 16369, 2732], [1, 12, 198, 1100, 5445, 16632, 39732, 67320, 84645, 75020, 45078, 16380, 2731], [1, 13, 187, 1155, 5280, 16962, 39270, 67782, 84315, 75185, 45023, 16391, 2730], [1, 14, 176, 1210, 5115, 17292, 38808, 68244, 83985, 75350, 44968, 16402, 2729], [1, 15, 165, 1265, 4950, 17622, 38346, 68706, 83655, 75515, 44913, 16413, 2728], [1, 16, 154, 1320, 4785, 17952, 37884, 69168, 83325, 75680, 44858, 16424, 2727], [1, 17, 143, 1375, 4620, 18282, 37422, 69630, 82995, 75845, 44803, 16435, 2726], [1, 18, 132, 1430, 4455, 18612, 36960, 70092, 82665, 76010, 44748, 16446, 2725], [1, 19, 121, 1485, 4290, 18942, 36498, 70554, 82335, 76175, 44693, 16457, 2724], [1, 20, 110, 1540, 4125, 19272, 36036, 71016, 82005, 76340, 44638, 16468, 2723], [1, 21, 99, 1595, 3960, 19602, 35574, 71478, 81675, 76505, 44583, 16479, 2722], [1, 22, 88, 1650, 3795, 19932, 35112, 71940, 81345, 76670, 44528, 16490, 2721], [1, 23, 77, 1705, 3630, 20262, 34650, 72402, 81015, 76835, 44473, 16501, 2720], [1, 24, 66, 1760, 3465, 20592, 34188, 72864, 80685, 77000, 44418, 16512, 2719], [1, 25, 55, 1815, 3300, 20922, 33726, 73326, 80355, 77165, 44363, 16523, 2718], [1, 26, 44, 1870, 3135, 21252, 33264, 73788, 80025, 77330, 44308, 16534, 2717], [1, 27, 33, 1925, 2970, 21582, 32802, 74250, 79695, 77495, 44253, 16545, 2716], [1, 28, 22, 1980, 2805, 21912, 32340, 74712, 79365, 77660, 44198, 16556, 2715], [1, 29, 11, 2035, 2640, 22242, 31878, 75174, 79035, 77825, 44143, 16567, 2714], [1, 30, 0, 2090, 2475, 22572, 31416, 75636, 78705, 77990, 44088, 16578, 2713], [2, 0, 264, 880, 5940, 15840, 40656, 66528, 85140, 74800, 45144, 16368, 2732], [2, 1, 253, 935, 5775, 16170, 40194, 66990, 84810, 74965, 45089, 16379, 2731], [2, 2, 242, 990, 5610, 16500, 39732, 67452, 84480, 75130, 45034, 16390, 2730], [2, 3, 231, 1045, 5445, 16830, 39270, 67914, 84150, 75295, 44979, 16401, 2729], [2, 4, 220, 1100, 5280, 17160, 38808, 68376, 83820, 75460, 44924, 16412, 2728], [2, 5, 209, 1155, 5115, 17490, 38346, 68838, 83490, 75625, 44869, 16423, 2727], [2, 6, 198, 1210, 4950, 17820, 37884, 69300, 83160, 75790, 44814, 16434, 2726], [2, 7, 187, 1265, 4785, 18150, 37422, 69762, 82830, 75955, 44759, 16445, 2725], [2, 8, 176, 1320, 4620, 18480, 36960, 70224, 82500, 76120, 44704, 16456, 2724], [2, 9, 165, 1375, 4455, 18810, 36498, 70686, 82170, 76285, 44649, 16467, 2723], [2, 10, 154, 1430, 4290, 19140, 36036, 71148, 81840, 76450, 44594, 16478, 2722], [2, 11, 143, 1485, 4125, 19470, 35574, 71610, 81510, 76615, 44539, 16489, 2721], [2, 12, 132, 1540, 3960, 19800, 35112, 72072, 81180, 76780, 44484, 16500, 2720], [2, 13, 121, 1595, 3795, 20130, 34650, 72534, 80850, 76945, 44429, 16511, 2719], [2, 14, 110, 1650, 3630, 20460, 34188, 72996, 80520, 77110, 44374, 16522, 2718], [2, 15, 99, 1705, 3465, 20790, 33726, 73458, 80190, 77275, 44319, 16533, 2717], [2, 16, 88, 1760, 3300, 21120, 33264, 73920, 79860, 77440, 44264, 16544, 2716], [2, 17, 77, 1815, 3135, 21450, 32802, 74382, 79530, 77605, 44209, 16555, 2715], [2, 18, 66, 1870, 2970, 21780, 32340, 74844, 79200, 77770, 44154, 16566, 2714], [2, 19, 55, 1925, 2805, 22110, 31878, 75306, 78870, 77935, 44099, 16577, 2713], [2, 20, 44, 1980, 2640, 22440, 31416, 75768, 78540, 78100, 44044, 16588, 2712], [2, 21, 33, 2035, 2475, 22770, 30954, 76230, 78210, 78265, 43989, 16599, 2711], [2, 22, 22, 2090, 2310, 23100, 30492, 76692, 77880, 78430, 43934, 16610, 2710], [2, 23, 11, 2145, 2145, 23430, 30030, 77154, 77550, 78595, 43879, 16621, 2709], [2, 24, 0, 2200, 1980, 23760, 29568, 77616, 77220, 78760, 43824, 16632, 2708], [3, 0, 198, 1320, 4455, 19008, 36036, 71280, 81675, 76560, 44550, 16488, 2721], [3, 1, 187, 1375, 4290, 19338, 35574, 71742, 81345, 76725, 44495, 16499, 2720], [3, 2, 176, 1430, 4125, 19668, 35112, 72204, 81015, 76890, 44440, 16510, 2719], [3, 3, 165, 1485, 3960, 19998, 34650, 72666, 80685, 77055, 44385, 16521, 2718], [3, 4, 154, 1540, 3795, 20328, 34188, 73128, 80355, 77220, 44330, 16532, 2717], [3, 5, 143, 1595, 3630, 20658, 33726, 73590, 80025, 77385, 44275, 16543, 2716], [3, 6, 132, 1650, 3465, 20988, 33264, 74052, 79695, 77550, 44220, 16554, 2715], [3, 7, 121, 1705, 3300, 21318, 32802, 74514, 79365, 77715, 44165, 16565, 2714], [3, 8, 110, 1760, 3135, 21648, 32340, 74976, 79035, 77880, 44110, 16576, 2713], [3, 9, 99, 1815, 2970, 21978, 31878, 75438, 78705, 78045, 44055, 16587, 2712], [3, 10, 88, 1870, 2805, 22308, 31416, 75900, 78375, 78210, 44000, 16598, 2711], [3, 11, 77, 1925, 2640, 22638, 30954, 76362, 78045, 78375, 43945, 16609, 2710], [3, 12, 66, 1980, 2475, 22968, 30492, 76824, 77715, 78540, 43890, 16620, 2709], [3, 13, 55, 2035, 2310, 23298, 30030, 77286, 77385, 78705, 43835, 16631, 2708], [3, 14, 44, 2090, 2145, 23628, 29568, 77748, 77055, 78870, 43780, 16642, 2707], [3, 15, 33, 2145, 1980, 23958, 29106, 78210, 76725, 79035, 43725, 16653, 2706], [3, 16, 22, 2200, 1815, 24288, 28644, 78672, 76395, 79200, 43670, 16664, 2705], [3, 17, 11, 2255, 1650, 24618, 28182, 79134, 76065, 79365, 43615, 16675, 2704], [3, 18, 0, 2310, 1485, 24948, 27720, 79596, 75735, 79530, 43560, 16686, 2703], [4, 0, 132, 1760, 2970, 22176, 31416, 76032, 78210, 78320, 43956, 16608, 2710], [4, 1, 121, 1815, 2805, 22506, 30954, 76494, 77880, 78485, 43901, 16619, 2709], [4, 2, 110, 1870, 2640, 22836, 30492, 76956, 77550, 78650, 43846, 16630, 2708], [4, 3, 99, 1925, 2475, 23166, 30030, 77418, 77220, 78815, 43791, 16641, 2707], [4, 4, 88, 1980, 2310, 23496, 29568, 77880, 76890, 78980, 43736, 16652, 2706], [4, 5, 77, 2035, 2145, 23826, 29106, 78342, 76560, 79145, 43681, 16663, 2705], [4, 6, 66, 2090, 1980, 24156, 28644, 78804, 76230, 79310, 43626, 16674, 2704], [4, 7, 55, 2145, 1815, 24486, 28182, 79266, 75900, 79475, 43571, 16685, 2703], [4, 8, 44, 2200, 1650, 24816, 27720, 79728, 75570, 79640, 43516, 16696, 2702], [4, 9, 33, 2255, 1485, 25146, 27258, 80190, 75240, 79805, 43461, 16707, 2701], [4, 10, 22, 2310, 1320, 25476, 26796, 80652, 74910, 79970, 43406, 16718, 2700], [4, 11, 11, 2365, 1155, 25806, 26334, 81114, 74580, 80135, 43351, 16729, 2699], [4, 12, 0, 2420, 990, 26136, 25872, 81576, 74250, 80300, 43296, 16740, 2698], [5, 0, 66, 2200, 1485, 25344, 26796, 80784, 74745, 80080, 43362, 16728, 2699], [5, 1, 55, 2255, 1320, 25674, 26334, 81246, 74415, 80245, 43307, 16739, 2698], [5, 2, 44, 2310, 1155, 26004, 25872, 81708, 74085, 80410, 43252, 16750, 2697], [5, 3, 33, 2365, 990, 26334, 25410, 82170, 73755, 80575, 43197, 16761, 2696], [5, 4, 22, 2420, 825, 26664, 24948, 82632, 73425, 80740, 43142, 16772, 2695], [5, 5, 11, 2475, 660, 26994, 24486, 83094, 73095, 80905, 43087, 16783, 2694], [5, 6, 0, 2530, 495, 27324, 24024, 83556, 72765, 81070, 43032, 16794, 2693], [6, 0, 0, 2640, 0, 28512, 22176, 85536, 71280, 81840, 42768, 16848, 2688]} (13, 354294, 10) has 3188 possible DDs: {[0, 0, 78, 858, 0, 18018, 5148, 77220, 43758, 102960, 54054, 39234, 11076, 1890], [0, 0, 79, 847, 55, 17853, 5478, 76758, 44220, 102630, 54219, 39179, 11087, 1889], [0, 0, 80, 836, 110, 17688, 5808, 76296, 44682, 102300, 54384, 39124, 11098, 1888], [0, 0, 81, 825, 165, 17523, 6138, 75834, 45144, 101970, 54549, 39069, 11109, 1887], [0, 0, 82, 814, 220, 17358, 6468, 75372, 45606, 101640, 54714, 39014, 11120, 1886], [0, 0, 83, 803, 275, 17193, 6798, 74910, 46068, 101310, 54879, 38959, 11131, 1885], [0, 0, 84, 792, 330, 17028, 7128, 74448, 46530, 100980, 55044, 38904, 11142, 1884], [0, 0, 85, 781, 385, 16863, 7458, 73986, 46992, 100650, 55209, 38849, 11153, 1883], [0, 0, 86, 770, 440, 16698, 7788, 73524, 47454, 100320, 55374, 38794, 11164, 1882], [0, 0, 87, 759, 495, 16533, 8118, 73062, 47916, 99990, 55539, 38739, 11175, 1881], [0, 0, 88, 748, 550, 16368, 8448, 72600, 48378, 99660, 55704, 38684, 11186, 1880], [0, 0, 89, 737, 605, 16203, 8778, 72138, 48840, 99330, 55869, 38629, 11197, 1879], [0, 0, 90, 726, 660, 16038, 9108, 71676, 49302, 99000, 56034, 38574, 11208, 1878], [0, 0, 91, 715, 715, 15873, 9438, 71214, 49764, 98670, 56199, 38519, 11219, 1877], [0, 0, 92, 704, 770, 15708, 9768, 70752, 50226, 98340, 56364, 38464, 11230, 1876], [0, 0, 93, 693, 825, 15543, 10098, 70290, 50688, 98010, 56529, 38409, 11241, 1875], [0, 0, 94, 682, 880, 15378, 10428, 69828, 51150, 97680, 56694, 38354, 11252, 1874], [0, 0, 95, 671, 935, 15213, 10758, 69366, 51612, 97350, 56859, 38299, 11263, 1873], [0, 0, 96, 660, 990, 15048, 11088, 68904, 52074, 97020, 57024, 38244, 11274, 1872], [0, 0, 97, 649, 1045, 14883, 11418, 68442, 52536, 96690, 57189, 38189, 11285, 1871], [0, 0, 98, 638, 1100, 14718, 11748, 67980, 52998, 96360, 57354, 38134, 11296, 1870], [0, 0, 99, 627, 1155, 14553, 12078, 67518, 53460, 96030, 57519, 38079, 11307, 1869], [0, 0, 100, 616, 1210, 14388, 12408, 67056, 53922, 95700, 57684, 38024, 11318, 1868], [0, 0, 101, 605, 1265, 14223, 12738, 66594, 54384, 95370, 57849, 37969, 11329, 1867], [0, 0, 102, 594, 1320, 14058, 13068, 66132, 54846, 95040, 58014, 37914, 11340, 1866], [0, 0, 103, 583, 1375, 13893, 13398, 65670, 55308, 94710, 58179, 37859, 11351, 1865], [0, 0, 104, 572, 1430, 13728, 13728, 65208, 55770, 94380, 58344, 37804, 11362, 1864], [0, 0, 105, 561, 1485, 13563, 14058, 64746, 56232, 94050, 58509, 37749, 11373, 1863], [0, 0, 106, 550, 1540, 13398, 14388, 64284, 56694, 93720, 58674, 37694, 11384, 1862], [0, 0, 107, 539, 1595, 13233, 14718, 63822, 57156, 93390, 58839, 37639, 11395, 1861], [0, 0, 108, 528, 1650, 13068, 15048, 63360, 57618, 93060, 59004, 37584, 11406, 1860], [0, 0, 109, 517, 1705, 12903, 15378, 62898, 58080, 92730, 59169, 37529, 11417, 1859], [0, 0, 110, 506, 1760, 12738, 15708, 62436, 58542, 92400, 59334, 37474, 11428, 1858], [0, 0, 111, 495, 1815, 12573, 16038, 61974, 59004, 92070, 59499, 37419, 11439, 1857], [0, 0, 112, 484, 1870, 12408, 16368, 61512, 59466, 91740, 59664, 37364, 11450, 1856], [0, 0, 113, 473, 1925, 12243, 16698, 61050, 59928, 91410, 59829, 37309, 11461, 1855], [0, 0, 114, 462, 1980, 12078, 17028, 60588, 60390, 91080, 59994, 37254, 11472, 1854], [0, 0, 115, 451, 2035, 11913, 17358, 60126, 60852, 90750, 60159, 37199, 11483, 1853], [0, 0, 116, 440, 2090, 11748, 17688, 59664, 61314, 90420, 60324, 37144, 11494, 1852], [0, 0, 117, 429, 2145, 11583, 18018, 59202, 61776, 90090, 60489, 37089, 11505, 1851], [0, 0, 118, 418, 2200, 11418, 18348, 58740, 62238, 89760, 60654, 37034, 11516, 1850], [0, 0, 119, 407, 2255, 11253, 18678, 58278, 62700, 89430, 60819, 36979, 11527, 1849], [0, 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