-------
(12, 118098, 9) Remaining distance distributions after NDDA
(9, 118098, 9) has 1 possible DDs: {[6, 108, 864, 4032, 12096, 24192, 32256, 27648, 13824, 3072]}
(10, 118098, 9) has 7 possible DDs: {[0, 60, 270, 2160, 6300, 16632, 26460, 30960, 22950, 10260, 2046], [1, 50, 315, 2040, 6510, 16380, 26670, 30840, 22995, 10250, 2047], [2, 40, 360, 1920, 6720, 16128, 26880, 30720, 23040, 10240, 2048], [3, 30, 405, 1800, 6930, 15876, 27090, 30600, 23085, 10230, 2049], [4, 20, 450, 1680, 7140, 15624, 27300, 30480, 23130, 10220, 2050], [5, 10, 495, 1560, 7350, 15372, 27510, 30360, 23175, 10210, 2051], [6, 0, 540, 1440, 7560, 15120, 27720, 30240, 23220, 10200, 2052]}
(11, 118098, 9) has 109 possible DDs: {[0, 0, 330, 0, 5940, 5544, 24948, 23760, 30690, 17820, 7722, 1344], [0, 1, 320, 45, 5820, 5754, 24696, 23970, 30570, 17865, 7712, 1345], [0, 2, 310, 90, 5700, 5964, 24444, 24180, 30450, 17910, 7702, 1346], [0, 3, 300, 135, 5580, 6174, 24192, 24390, 30330, 17955, 7692, 1347], [0, 4, 290, 180, 5460, 6384, 23940, 24600, 30210, 18000, 7682, 1348], [0, 5, 280, 225, 5340, 6594, 23688, 24810, 30090, 18045, 7672, 1349], [0, 6, 270, 270, 5220, 6804, 23436, 25020, 29970, 18090, 7662, 1350], [0, 7, 260, 315, 5100, 7014, 23184, 25230, 29850, 18135, 7652, 1351], [0, 8, 250, 360, 4980, 7224, 22932, 25440, 29730, 18180, 7642, 1352], [0, 9, 240, 405, 4860, 7434, 22680, 25650, 29610, 18225, 7632, 1353], [0, 10, 230, 450, 4740, 7644, 22428, 25860, 29490, 18270, 7622, 1354], [0, 11, 220, 495, 4620, 7854, 22176, 26070, 29370, 18315, 7612, 1355], [0, 12, 210, 540, 4500, 8064, 21924, 26280, 29250, 18360, 7602, 1356], [0, 13, 200, 585, 4380, 8274, 21672, 26490, 29130, 18405, 7592, 1357], [0, 14, 190, 630, 4260, 8484, 21420, 26700, 29010, 18450, 7582, 1358], [0, 15, 180, 675, 4140, 8694, 21168, 26910, 28890, 18495, 7572, 1359], [0, 16, 170, 720, 4020, 8904, 20916, 27120, 28770, 18540, 7562, 1360], [0, 17, 160, 765, 3900, 9114, 20664, 27330, 28650, 18585, 7552, 1361], [0, 18, 150, 810, 3780, 9324, 20412, 27540, 28530, 18630, 7542, 1362], [0, 19, 140, 855, 3660, 9534, 20160, 27750, 28410, 18675, 7532, 1363], [0, 20, 130, 900, 3540, 9744, 19908, 27960, 28290, 18720, 7522, 1364], [0, 21, 120, 945, 3420, 9954, 19656, 28170, 28170, 18765, 7512, 1365], [0, 22, 110, 990, 3300, 10164, 19404, 28380, 28050, 18810, 7502, 1366], [0, 23, 100, 1035, 3180, 10374, 19152, 28590, 27930, 18855, 7492, 1367], [0, 24, 90, 1080, 3060, 10584, 18900, 28800, 27810, 18900, 7482, 1368], [0, 25, 80, 1125, 2940, 10794, 18648, 29010, 27690, 18945, 7472, 1369], [0, 26, 70, 1170, 2820, 11004, 18396, 29220, 27570, 18990, 7462, 1370], [0, 27, 60, 1215, 2700, 11214, 18144, 29430, 27450, 19035, 7452, 1371], [0, 28, 50, 1260, 2580, 11424, 17892, 29640, 27330, 19080, 7442, 1372], [0, 29, 40, 1305, 2460, 11634, 17640, 29850, 27210, 19125, 7432, 1373], [0, 30, 30, 1350, 2340, 11844, 17388, 30060, 27090, 19170, 7422, 1374], [0, 31, 20, 1395, 2220, 12054, 17136, 30270, 26970, 19215, 7412, 1375], [0, 32, 10, 1440, 2100, 12264, 16884, 30480, 26850, 19260, 7402, 1376], [0, 33, 0, 1485, 1980, 12474, 16632, 30690, 26730, 19305, 7392, 1377], [1, 0, 275, 330, 4950, 7392, 22638, 25740, 29535, 18260, 7623, 1354], [1, 1, 265, 375, 4830, 7602, 22386, 25950, 29415, 18305, 7613, 1355], [1, 2, 255, 420, 4710, 7812, 22134, 26160, 29295, 18350, 7603, 1356], [1, 3, 245, 465, 4590, 8022, 21882, 26370, 29175, 18395, 7593, 1357], [1, 4, 235, 510, 4470, 8232, 21630, 26580, 29055, 18440, 7583, 1358], [1, 5, 225, 555, 4350, 8442, 21378, 26790, 28935, 18485, 7573, 1359], [1, 6, 215, 600, 4230, 8652, 21126, 27000, 28815, 18530, 7563, 1360], [1, 7, 205, 645, 4110, 8862, 20874, 27210, 28695, 18575, 7553, 1361], [1, 8, 195, 690, 3990, 9072, 20622, 27420, 28575, 18620, 7543, 1362], [1, 9, 185, 735, 3870, 9282, 20370, 27630, 28455, 18665, 7533, 1363], [1, 10, 175, 780, 3750, 9492, 20118, 27840, 28335, 18710, 7523, 1364], [1, 11, 165, 825, 3630, 9702, 19866, 28050, 28215, 18755, 7513, 1365], [1, 12, 155, 870, 3510, 9912, 19614, 28260, 28095, 18800, 7503, 1366], [1, 13, 145, 915, 3390, 10122, 19362, 28470, 27975, 18845, 7493, 1367], [1, 14, 135, 960, 3270, 10332, 19110, 28680, 27855, 18890, 7483, 1368], [1, 15, 125, 1005, 3150, 10542, 18858, 28890, 27735, 18935, 7473, 1369], [1, 16, 115, 1050, 3030, 10752, 18606, 29100, 27615, 18980, 7463, 1370], [1, 17, 105, 1095, 2910, 10962, 18354, 29310, 27495, 19025, 7453, 1371], [1, 18, 95, 1140, 2790, 11172, 18102, 29520, 27375, 19070, 7443, 1372], [1, 19, 85, 1185, 2670, 11382, 17850, 29730, 27255, 19115, 7433, 1373], [1, 20, 75, 1230, 2550, 11592, 17598, 29940, 27135, 19160, 7423, 1374], [1, 21, 65, 1275, 2430, 11802, 17346, 30150, 27015, 19205, 7413, 1375], [1, 22, 55, 1320, 2310, 12012, 17094, 30360, 26895, 19250, 7403, 1376], [1, 23, 45, 1365, 2190, 12222, 16842, 30570, 26775, 19295, 7393, 1377], [2, 0, 220, 660, 3960, 9240, 20328, 27720, 28380, 18700, 7524, 1364], [2, 1, 210, 705, 3840, 9450, 20076, 27930, 28260, 18745, 7514, 1365], [2, 2, 200, 750, 3720, 9660, 19824, 28140, 28140, 18790, 7504, 1366], [2, 3, 190, 795, 3600, 9870, 19572, 28350, 28020, 18835, 7494, 1367], [2, 4, 180, 840, 3480, 10080, 19320, 28560, 27900, 18880, 7484, 1368], [2, 5, 170, 885, 3360, 10290, 19068, 28770, 27780, 18925, 7474, 1369], [2, 6, 160, 930, 3240, 10500, 18816, 28980, 27660, 18970, 7464, 1370], [2, 7, 150, 975, 3120, 10710, 18564, 29190, 27540, 19015, 7454, 1371], [2, 8, 140, 1020, 3000, 10920, 18312, 29400, 27420, 19060, 7444, 1372], [2, 9, 130, 1065, 2880, 11130, 18060, 29610, 27300, 19105, 7434, 1373], [2, 10, 120, 1110, 2760, 11340, 17808, 29820, 27180, 19150, 7424, 1374], [2, 11, 110, 1155, 2640, 11550, 17556, 30030, 27060, 19195, 7414, 1375], [2, 12, 100, 1200, 2520, 11760, 17304, 30240, 26940, 19240, 7404, 1376], [2, 13, 90, 1245, 2400, 11970, 17052, 30450, 26820, 19285, 7394, 1377], [2, 14, 80, 1290, 2280, 12180, 16800, 30660, 26700, 19330, 7384, 1378], [2, 15, 70, 1335, 2160, 12390, 16548, 30870, 26580, 19375, 7374, 1379], [2, 16, 60, 1380, 2040, 12600, 16296, 31080, 26460, 19420, 7364, 1380], [2, 17, 50, 1425, 1920, 12810, 16044, 31290, 26340, 19465, 7354, 1381], [2, 18, 40, 1470, 1800, 13020, 15792, 31500, 26220, 19510, 7344, 1382], [2, 19, 30, 1515, 1680, 13230, 15540, 31710, 26100, 19555, 7334, 1383], [2, 20, 20, 1560, 1560, 13440, 15288, 31920, 25980, 19600, 7324, 1384], [2, 21, 10, 1605, 1440, 13650, 15036, 32130, 25860, 19645, 7314, 1385], [2, 22, 0, 1650, 1320, 13860, 14784, 32340, 25740, 19690, 7304, 1386], [3, 0, 165, 990, 2970, 11088, 18018, 29700, 27225, 19140, 7425, 1374], [3, 1, 155, 1035, 2850, 11298, 17766, 29910, 27105, 19185, 7415, 1375], [3, 2, 145, 1080, 2730, 11508, 17514, 30120, 26985, 19230, 7405, 1376], [3, 3, 135, 1125, 2610, 11718, 17262, 30330, 26865, 19275, 7395, 1377], [3, 4, 125, 1170, 2490, 11928, 17010, 30540, 26745, 19320, 7385, 1378], [3, 5, 115, 1215, 2370, 12138, 16758, 30750, 26625, 19365, 7375, 1379], [3, 6, 105, 1260, 2250, 12348, 16506, 30960, 26505, 19410, 7365, 1380], [3, 7, 95, 1305, 2130, 12558, 16254, 31170, 26385, 19455, 7355, 1381], [3, 8, 85, 1350, 2010, 12768, 16002, 31380, 26265, 19500, 7345, 1382], [3, 9, 75, 1395, 1890, 12978, 15750, 31590, 26145, 19545, 7335, 1383], [3, 10, 65, 1440, 1770, 13188, 15498, 31800, 26025, 19590, 7325, 1384], [3, 11, 55, 1485, 1650, 13398, 15246, 32010, 25905, 19635, 7315, 1385], [3, 12, 45, 1530, 1530, 13608, 14994, 32220, 25785, 19680, 7305, 1386], [4, 0, 110, 1320, 1980, 12936, 15708, 31680, 26070, 19580, 7326, 1384], [4, 1, 100, 1365, 1860, 13146, 15456, 31890, 25950, 19625, 7316, 1385], [4, 2, 90, 1410, 1740, 13356, 15204, 32100, 25830, 19670, 7306, 1386], [4, 3, 80, 1455, 1620, 13566, 14952, 32310, 25710, 19715, 7296, 1387], [4, 4, 70, 1500, 1500, 13776, 14700, 32520, 25590, 19760, 7286, 1388], [4, 5, 60, 1545, 1380, 13986, 14448, 32730, 25470, 19805, 7276, 1389], [4, 6, 50, 1590, 1260, 14196, 14196, 32940, 25350, 19850, 7266, 1390], [4, 7, 40, 1635, 1140, 14406, 13944, 33150, 25230, 19895, 7256, 1391], [4, 8, 30, 1680, 1020, 14616, 13692, 33360, 25110, 19940, 7246, 1392], [4, 9, 20, 1725, 900, 14826, 13440, 33570, 24990, 19985, 7236, 1393], [4, 10, 10, 1770, 780, 15036, 13188, 33780, 24870, 20030, 7226, 1394], [4, 11, 0, 1815, 660, 15246, 12936, 33990, 24750, 20075, 7216, 1395], [5, 0, 55, 1650, 990, 14784, 13398, 33660, 24915, 20020, 7227, 1394], [5, 1, 45, 1695, 870, 14994, 13146, 33870, 24795, 20065, 7217, 1395], [6, 0, 0, 1980, 0, 16632, 11088, 35640, 23760, 20460, 7128, 1404]}
(12, 118098, 9) has 1824 possible DDs: {[0, 0, 75, 570, 405, 10008, 4662, 33372, 18720, 30600, 12879, 5946, 861], [0, 0, 76, 560, 450, 9888, 4872, 33120, 18930, 30480, 12924, 5936, 862], [0, 0, 77, 550, 495, 9768, 5082, 32868, 19140, 30360, 12969, 5926, 863], [0, 0, 78, 540, 540, 9648, 5292, 32616, 19350, 30240, 13014, 5916, 864], [0, 0, 79, 530, 585, 9528, 5502, 32364, 19560, 30120, 13059, 5906, 865], [0, 0, 80, 520, 630, 9408, 5712, 32112, 19770, 30000, 13104, 5896, 866], [0, 0, 81, 510, 675, 9288, 5922, 31860, 19980, 29880, 13149, 5886, 867], [0, 0, 82, 500, 720, 9168, 6132, 31608, 20190, 29760, 13194, 5876, 868], [0, 0, 83, 490, 765, 9048, 6342, 31356, 20400, 29640, 13239, 5866, 869], [0, 0, 84, 480, 810, 8928, 6552, 31104, 20610, 29520, 13284, 5856, 870], [0, 0, 85, 470, 855, 8808, 6762, 30852, 20820, 29400, 13329, 5846, 871], [0, 0, 86, 460, 900, 8688, 6972, 30600, 21030, 29280, 13374, 5836, 872], [0, 0, 87, 450, 945, 8568, 7182, 30348, 21240, 29160, 13419, 5826, 873], [0, 0, 88, 440, 990, 8448, 7392, 30096, 21450, 29040, 13464, 5816, 874], [0, 0, 89, 430, 1035, 8328, 7602, 29844, 21660, 28920, 13509, 5806, 875], [0, 0, 90, 420, 1080, 8208, 7812, 29592, 21870, 28800, 13554, 5796, 876], [0, 0, 91, 410, 1125, 8088, 8022, 29340, 22080, 28680, 13599, 5786, 877], [0, 0, 92, 400, 1170, 7968, 8232, 29088, 22290, 28560, 13644, 5776, 878], [0, 0, 93, 390, 1215, 7848, 8442, 28836, 22500, 28440, 13689, 5766, 879], [0, 0, 94, 380, 1260, 7728, 8652, 28584, 22710, 28320, 13734, 5756, 880], [0, 0, 95, 370, 1305, 7608, 8862, 28332, 22920, 28200, 13779, 5746, 881], [0, 0, 96, 360, 1350, 7488, 9072, 28080, 23130, 28080, 13824, 5736, 882], [0, 0, 97, 350, 1395, 7368, 9282, 27828, 23340, 27960, 13869, 5726, 883], [0, 0, 98, 340, 1440, 7248, 9492, 27576, 23550, 27840, 13914, 5716, 884], [0, 0, 99, 330, 1485, 7128, 9702, 27324, 23760, 27720, 13959, 5706, 885], [0, 0, 100, 320, 1530, 7008, 9912, 27072, 23970, 27600, 14004, 5696, 886], [0, 0, 101, 310, 1575, 6888, 10122, 26820, 24180, 27480, 14049, 5686, 887], [0, 0, 102, 300, 1620, 6768, 10332, 26568, 24390, 27360, 14094, 5676, 888], [0, 0, 103, 290, 1665, 6648, 10542, 26316, 24600, 27240, 14139, 5666, 889], [0, 0, 104, 280, 1710, 6528, 10752, 26064, 24810, 27120, 14184, 5656, 890], [0, 0, 105, 270, 1755, 6408, 10962, 25812, 25020, 27000, 14229, 5646, 891], [0, 0, 106, 260, 1800, 6288, 11172, 25560, 25230, 26880, 14274, 5636, 892], [0, 0, 107, 250, 1845, 6168, 11382, 25308, 25440, 26760, 14319, 5626, 893], [0, 0, 108, 240, 1890, 6048, 11592, 25056, 25650, 26640, 14364, 5616, 894], [0, 0, 109, 230, 1935, 5928, 11802, 24804, 25860, 26520, 14409, 5606, 895], [0, 0, 110, 220, 1980, 5808, 12012, 24552, 26070, 26400, 14454, 5596, 896], [0, 0, 111, 210, 2025, 5688, 12222, 24300, 26280, 26280, 14499, 5586, 897], [0, 0, 112, 200, 2070, 5568, 12432, 24048, 26490, 26160, 14544, 5576, 898], [0, 0, 113, 190, 2115, 5448, 12642, 23796, 26700, 26040, 14589, 5566, 899], [0, 0, 114, 180, 2160, 5328, 12852, 23544, 26910, 25920, 14634, 5556, 900], [0, 0, 115, 170, 2205, 5208, 13062, 23292, 27120, 25800, 14679, 5546, 901], [0, 0, 116, 160, 2250, 5088, 13272, 23040, 27330, 25680, 14724, 5536, 902], [0, 0, 117, 150, 2295, 4968, 13482, 22788, 27540, 25560, 14769, 5526, 903], [0, 0, 118, 140, 2340, 4848, 13692, 22536, 27750, 25440, 14814, 5516, 904], [0, 0, 119, 130, 2385, 4728, 13902, 22284, 27960, 25320, 14859, 5506, 905], [0, 0, 120, 120, 2430, 4608, 14112, 22032, 28170, 25200, 14904, 5496, 906], [0, 0, 121, 110, 2475, 4488, 14322, 21780, 28380, 25080, 14949, 5486, 907], [0, 0, 122, 100, 2520, 4368, 14532, 21528, 28590, 24960, 14994, 5476, 908], [0, 0, 123, 90, 2565, 4248, 14742, 21276, 28800, 24840, 15039, 5466, 909], [0, 0, 124, 80, 2610, 4128, 14952, 21024, 29010, 24720, 15084, 5456, 910], [0, 0, 125, 70, 2655, 4008, 15162, 20772, 29220, 24600, 15129, 5446, 911], [0, 0, 126, 60, 2700, 3888, 15372, 20520, 29430, 24480, 15174, 5436, 912], [0, 0, 127, 50, 2745, 3768, 15582, 20268, 29640, 24360, 15219, 5426, 913], [0, 0, 128, 40, 2790, 3648, 15792, 20016, 29850, 24240, 15264, 5416, 914], [0, 0, 129, 30, 2835, 3528, 16002, 19764, 30060, 24120, 15309, 5406, 915], [0, 0, 130, 20, 2880, 3408, 16212, 19512, 30270, 24000, 15354, 5396, 916], [0, 0, 131, 10, 2925, 3288, 16422, 19260, 30480, 23880, 15399, 5386, 917], [0, 0, 132, 0, 2970, 3168, 16632, 19008, 30690, 23760, 15444, 5376, 918], [0, 1, 68, 585, 420, 9858, 5040, 32826, 19230, 30285, 13004, 5917, 864], [0, 1, 69, 575, 465, 9738, 5250, 32574, 19440, 30165, 13049, 5907, 865], [0, 1, 70, 565, 510, 9618, 5460, 32322, 19650, 30045, 13094, 5897, 866], [0, 1, 71, 555, 555, 9498, 5670, 32070, 19860, 29925, 13139, 5887, 867], [0, 1, 72, 545, 600, 9378, 5880, 31818, 20070, 29805, 13184, 5877, 868], [0, 1, 73, 535, 645, 9258, 6090, 31566, 20280, 29685, 13229, 5867, 869], [0, 1, 74, 525, 690, 9138, 6300, 31314, 20490, 29565, 13274, 5857, 870], [0, 1, 75, 515, 735, 9018, 6510, 31062, 20700, 29445, 13319, 5847, 871], [0, 1, 76, 505, 780, 8898, 6720, 30810, 20910, 29325, 13364, 5837, 872], [0, 1, 77, 495, 825, 8778, 6930, 30558, 21120, 29205, 13409, 5827, 873], [0, 1, 78, 485, 870, 8658, 7140, 30306, 21330, 29085, 13454, 5817, 874], [0, 1, 79, 475, 915, 8538, 7350, 30054, 21540, 28965, 13499, 5807, 875], [0, 1, 80, 465, 960, 8418, 7560, 29802, 21750, 28845, 13544, 5797, 876], [0, 1, 81, 455, 1005, 8298, 7770, 29550, 21960, 28725, 13589, 5787, 877], [0, 1, 82, 445, 1050, 8178, 7980, 29298, 22170, 28605, 13634, 5777, 878], [0, 1, 83, 435, 1095, 8058, 8190, 29046, 22380, 28485, 13679, 5767, 879], [0, 1, 84, 425, 1140, 7938, 8400, 28794, 22590, 28365, 13724, 5757, 880], [0, 1, 85, 415, 1185, 7818, 8610, 28542, 22800, 28245, 13769, 5747, 881], [0, 1, 86, 405, 1230, 7698, 8820, 28290, 23010, 28125, 13814, 5737, 882], [0, 1, 87, 395, 1275, 7578, 9030, 28038, 23220, 28005, 13859, 5727, 883], [0, 1, 88, 385, 1320, 7458, 9240, 27786, 23430, 27885, 13904, 5717, 884], [0, 1, 89, 375, 1365, 7338, 9450, 27534, 23640, 27765, 13949, 5707, 885], 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926], [2, 3, 1, 705, 1035, 6414, 13146, 21330, 29910, 23695, 15621, 5309, 927], [2, 3, 2, 695, 1080, 6294, 13356, 21078, 30120, 23575, 15666, 5299, 928], [2, 3, 3, 685, 1125, 6174, 13566, 20826, 30330, 23455, 15711, 5289, 929], [2, 3, 4, 675, 1170, 6054, 13776, 20574, 30540, 23335, 15756, 5279, 930], [2, 3, 5, 665, 1215, 5934, 13986, 20322, 30750, 23215, 15801, 5269, 931], [2, 3, 6, 655, 1260, 5814, 14196, 20070, 30960, 23095, 15846, 5259, 932], [2, 3, 7, 645, 1305, 5694, 14406, 19818, 31170, 22975, 15891, 5249, 933], [2, 3, 8, 635, 1350, 5574, 14616, 19566, 31380, 22855, 15936, 5239, 934], [2, 3, 9, 625, 1395, 5454, 14826, 19314, 31590, 22735, 15981, 5229, 935], [2, 3, 10, 615, 1440, 5334, 15036, 19062, 31800, 22615, 16026, 5219, 936], [2, 3, 11, 605, 1485, 5214, 15246, 18810, 32010, 22495, 16071, 5209, 937], [2, 3, 12, 595, 1530, 5094, 15456, 18558, 32220, 22375, 16116, 5199, 938], [2, 3, 13, 585, 1575, 4974, 15666, 18306, 32430, 22255, 16161, 5189, 939], [2, 3, 14, 575, 1620, 4854, 15876, 18054, 32640, 22135, 16206, 5179, 940], [2, 3, 15, 565, 1665, 4734, 16086, 17802, 32850, 22015, 16251, 5169, 941], [2, 3, 16, 555, 1710, 4614, 16296, 17550, 33060, 21895, 16296, 5159, 942], [2, 3, 17, 545, 1755, 4494, 16506, 17298, 33270, 21775, 16341, 5149, 943], [2, 3, 18, 535, 1800, 4374, 16716, 17046, 33480, 21655, 16386, 5139, 944], [2, 3, 19, 525, 1845, 4254, 16926, 16794, 33690, 21535, 16431, 5129, 945], [2, 3, 20, 515, 1890, 4134, 17136, 16542, 33900, 21415, 16476, 5119, 946], [2, 3, 21, 505, 1935, 4014, 17346, 16290, 34110, 21295, 16521, 5109, 947], [2, 3, 22, 495, 1980, 3894, 17556, 16038, 34320, 21175, 16566, 5099, 948], [2, 3, 23, 485, 2025, 3774, 17766, 15786, 34530, 21055, 16611, 5089, 949], [2, 3, 24, 475, 2070, 3654, 17976, 15534, 34740, 20935, 16656, 5079, 950], [2, 3, 25, 465, 2115, 3534, 18186, 15282, 34950, 20815, 16701, 5069, 951], [2, 3, 26, 455, 2160, 3414, 18396, 15030, 35160, 20695, 16746, 5059, 952], [2, 3, 27, 445, 2205, 3294, 18606, 14778, 35370, 20575, 16791, 5049, 953], [2, 3, 28, 435, 2250, 3174, 18816, 14526, 35580, 20455, 16836, 5039, 954], [2, 3, 29, 425, 2295, 3054, 19026, 14274, 35790, 20335, 16881, 5029, 955], [2, 3, 30, 415, 2340, 2934, 19236, 14022, 36000, 20215, 16926, 5019, 956], [2, 3, 31, 405, 2385, 2814, 19446, 13770, 36210, 20095, 16971, 5009, 957], [2, 3, 32, 395, 2430, 2694, 19656, 13518, 36420, 19975, 17016, 4999, 958], [2, 3, 33, 385, 2475, 2574, 19866, 13266, 36630, 19855, 17061, 4989, 959], [2, 3, 34, 375, 2520, 2454, 20076, 13014, 36840, 19735, 17106, 4979, 960], [2, 3, 35, 365, 2565, 2334, 20286, 12762, 37050, 19615, 17151, 4969, 961], [2, 3, 36, 355, 2610, 2214, 20496, 12510, 37260, 19495, 17196, 4959, 962], [2, 3, 37, 345, 2655, 2094, 20706, 12258, 37470, 19375, 17241, 4949, 963], [2, 3, 38, 335, 2700, 1974, 20916, 12006, 37680, 19255, 17286, 4939, 964], [2, 3, 39, 325, 2745, 1854, 21126, 11754, 37890, 19135, 17331, 4929, 965], [2, 3, 40, 315, 2790, 1734, 21336, 11502, 38100, 19015, 17376, 4919, 966], [2, 3, 41, 305, 2835, 1614, 21546, 11250, 38310, 18895, 17421, 4909, 967], [2, 3, 42, 295, 2880, 1494, 21756, 10998, 38520, 18775, 17466, 4899, 968], [2, 3, 43, 285, 2925, 1374, 21966, 10746, 38730, 18655, 17511, 4889, 969], [2, 3, 44, 275, 2970, 1254, 22176, 10494, 38940, 18535, 17556, 4879, 970], [2, 3, 45, 265, 3015, 1134, 22386, 10242, 39150, 18415, 17601, 4869, 971], [2, 4, 0, 660, 1320, 5544, 14784, 19272, 31680, 22660, 16016, 5220, 936], [2, 4, 1, 650, 1365, 5424, 14994, 19020, 31890, 22540, 16061, 5210, 937], [2, 4, 2, 640, 1410, 5304, 15204, 18768, 32100, 22420, 16106, 5200, 938], [2, 4, 3, 630, 1455, 5184, 15414, 18516, 32310, 22300, 16151, 5190, 939], [2, 4, 4, 620, 1500, 5064, 15624, 18264, 32520, 22180, 16196, 5180, 940], [2, 4, 5, 610, 1545, 4944, 15834, 18012, 32730, 22060, 16241, 5170, 941], [2, 4, 6, 600, 1590, 4824, 16044, 17760, 32940, 21940, 16286, 5160, 942], [2, 4, 7, 590, 1635, 4704, 16254, 17508, 33150, 21820, 16331, 5150, 943], [2, 4, 8, 580, 1680, 4584, 16464, 17256, 33360, 21700, 16376, 5140, 944], [2, 4, 9, 570, 1725, 4464, 16674, 17004, 33570, 21580, 16421, 5130, 945], [2, 4, 10, 560, 1770, 4344, 16884, 16752, 33780, 21460, 16466, 5120, 946], [2, 4, 11, 550, 1815, 4224, 17094, 16500, 33990, 21340, 16511, 5110, 947], [2, 4, 12, 540, 1860, 4104, 17304, 16248, 34200, 21220, 16556, 5100, 948], [2, 4, 13, 530, 1905, 3984, 17514, 15996, 34410, 21100, 16601, 5090, 949], [2, 4, 14, 520, 1950, 3864, 17724, 15744, 34620, 20980, 16646, 5080, 950], [2, 4, 15, 510, 1995, 3744, 17934, 15492, 34830, 20860, 16691, 5070, 951], [2, 4, 16, 500, 2040, 3624, 18144, 15240, 35040, 20740, 16736, 5060, 952], [2, 4, 17, 490, 2085, 3504, 18354, 14988, 35250, 20620, 16781, 5050, 953], [2, 4, 18, 480, 2130, 3384, 18564, 14736, 35460, 20500, 16826, 5040, 954], [2, 4, 19, 470, 2175, 3264, 18774, 14484, 35670, 20380, 16871, 5030, 955], [2, 4, 20, 460, 2220, 3144, 18984, 14232, 35880, 20260, 16916, 5020, 956], [2, 4, 21, 450, 2265, 3024, 19194, 13980, 36090, 20140, 16961, 5010, 957], [2, 4, 22, 440, 2310, 2904, 19404, 13728, 36300, 20020, 17006, 5000, 958], [2, 4, 23, 430, 2355, 2784, 19614, 13476, 36510, 19900, 17051, 4990, 959], [2, 4, 24, 420, 2400, 2664, 19824, 13224, 36720, 19780, 17096, 4980, 960], [2, 4, 25, 410, 2445, 2544, 20034, 12972, 36930, 19660, 17141, 4970, 961], [2, 4, 26, 400, 2490, 2424, 20244, 12720, 37140, 19540, 17186, 4960, 962], [2, 4, 27, 390, 2535, 2304, 20454, 12468, 37350, 19420, 17231, 4950, 963], [2, 4, 28, 380, 2580, 2184, 20664, 12216, 37560, 19300, 17276, 4940, 964], [2, 4, 29, 370, 2625, 2064, 20874, 11964, 37770, 19180, 17321, 4930, 965], [2, 4, 30, 360, 2670, 1944, 21084, 11712, 37980, 19060, 17366, 4920, 966], [2, 4, 31, 350, 2715, 1824, 21294, 11460, 38190, 18940, 17411, 4910, 967], [2, 4, 32, 340, 2760, 1704, 21504, 11208, 38400, 18820, 17456, 4900, 968], [2, 4, 33, 330, 2805, 1584, 21714, 10956, 38610, 18700, 17501, 4890, 969], [2, 4, 34, 320, 2850, 1464, 21924, 10704, 38820, 18580, 17546, 4880, 970], [2, 4, 35, 310, 2895, 1344, 22134, 10452, 39030, 18460, 17591, 4870, 971], [2, 4, 36, 300, 2940, 1224, 22344, 10200, 39240, 18340, 17636, 4860, 972], [3, 0, 0, 660, 1485, 4752, 16632, 16632, 34155, 21120, 16632, 5076, 951], [3, 0, 1, 650, 1530, 4632, 16842, 16380, 34365, 21000, 16677, 5066, 952], [3, 0, 2, 640, 1575, 4512, 17052, 16128, 34575, 20880, 16722, 5056, 953], [3, 0, 3, 630, 1620, 4392, 17262, 15876, 34785, 20760, 16767, 5046, 954], [3, 0, 4, 620, 1665, 4272, 17472, 15624, 34995, 20640, 16812, 5036, 955], [3, 0, 5, 610, 1710, 4152, 17682, 15372, 35205, 20520, 16857, 5026, 956], [3, 0, 6, 600, 1755, 4032, 17892, 15120, 35415, 20400, 16902, 5016, 957], [3, 0, 7, 590, 1800, 3912, 18102, 14868, 35625, 20280, 16947, 5006, 958], [3, 0, 8, 580, 1845, 3792, 18312, 14616, 35835, 20160, 16992, 4996, 959], [3, 0, 9, 570, 1890, 3672, 18522, 14364, 36045, 20040, 17037, 4986, 960], [3, 0, 10, 560, 1935, 3552, 18732, 14112, 36255, 19920, 17082, 4976, 961], [3, 0, 11, 550, 1980, 3432, 18942, 13860, 36465, 19800, 17127, 4966, 962], [3, 0, 12, 540, 2025, 3312, 19152, 13608, 36675, 19680, 17172, 4956, 963], [3, 0, 13, 530, 2070, 3192, 19362, 13356, 36885, 19560, 17217, 4946, 964], [3, 0, 14, 520, 2115, 3072, 19572, 13104, 37095, 19440, 17262, 4936, 965], [3, 0, 15, 510, 2160, 2952, 19782, 12852, 37305, 19320, 17307, 4926, 966], [3, 0, 16, 500, 2205, 2832, 19992, 12600, 37515, 19200, 17352, 4916, 967], [3, 0, 17, 490, 2250, 2712, 20202, 12348, 37725, 19080, 17397, 4906, 968], [3, 0, 18, 480, 2295, 2592, 20412, 12096, 37935, 18960, 17442, 4896, 969], [3, 0, 19, 470, 2340, 2472, 20622, 11844, 38145, 18840, 17487, 4886, 970], [3, 0, 20, 460, 2385, 2352, 20832, 11592, 38355, 18720, 17532, 4876, 971], [3, 0, 21, 450, 2430, 2232, 21042, 11340, 38565, 18600, 17577, 4866, 972], [3, 0, 22, 440, 2475, 2112, 21252, 11088, 38775, 18480, 17622, 4856, 973], [3, 0, 23, 430, 2520, 1992, 21462, 10836, 38985, 18360, 17667, 4846, 974], [3, 0, 24, 420, 2565, 1872, 21672, 10584, 39195, 18240, 17712, 4836, 975], [3, 0, 25, 410, 2610, 1752, 21882, 10332, 39405, 18120, 17757, 4826, 976], [3, 0, 26, 400, 2655, 1632, 22092, 10080, 39615, 18000, 17802, 4816, 977], [3, 0, 27, 390, 2700, 1512, 22302, 9828, 39825, 17880, 17847, 4806, 978], [3, 0, 28, 380, 2745, 1392, 22512, 9576, 40035, 17760, 17892, 4796, 979], [3, 0, 29, 370, 2790, 1272, 22722, 9324, 40245, 17640, 17937, 4786, 980], [3, 1, 0, 605, 1815, 3762, 18480, 14322, 36135, 19965, 17072, 4977, 961], [3, 1, 1, 595, 1860, 3642, 18690, 14070, 36345, 19845, 17117, 4967, 962], [3, 1, 2, 585, 1905, 3522, 18900, 13818, 36555, 19725, 17162, 4957, 963], [3, 1, 3, 575, 1950, 3402, 19110, 13566, 36765, 19605, 17207, 4947, 964], [3, 1, 4, 565, 1995, 3282, 19320, 13314, 36975, 19485, 17252, 4937, 965], [3, 1, 5, 555, 2040, 3162, 19530, 13062, 37185, 19365, 17297, 4927, 966], [3, 1, 6, 545, 2085, 3042, 19740, 12810, 37395, 19245, 17342, 4917, 967], [3, 1, 7, 535, 2130, 2922, 19950, 12558, 37605, 19125, 17387, 4907, 968], [3, 1, 8, 525, 2175, 2802, 20160, 12306, 37815, 19005, 17432, 4897, 969], [3, 1, 9, 515, 2220, 2682, 20370, 12054, 38025, 18885, 17477, 4887, 970], [3, 1, 10, 505, 2265, 2562, 20580, 11802, 38235, 18765, 17522, 4877, 971], [3, 1, 11, 495, 2310, 2442, 20790, 11550, 38445, 18645, 17567, 4867, 972], [3, 1, 12, 485, 2355, 2322, 21000, 11298, 38655, 18525, 17612, 4857, 973], [3, 1, 13, 475, 2400, 2202, 21210, 11046, 38865, 18405, 17657, 4847, 974], [3, 1, 14, 465, 2445, 2082, 21420, 10794, 39075, 18285, 17702, 4837, 975], [3, 1, 15, 455, 2490, 1962, 21630, 10542, 39285, 18165, 17747, 4827, 976], [3, 2, 0, 550, 2145, 2772, 20328, 12012, 38115, 18810, 17512, 4878, 971]}
-------
(12, 118098, 9) Remaining distance distributions after NDDA
(9, 118098, 9) has 1 possible DDs: {[6, 108, 864, 4032, 12096, 24192, 32256, 27648, 13824, 3072]}
(10, 118098, 9) has 7 possible DDs: {[0, 60, 270, 2160, 6300, 16632, 26460, 30960, 22950, 10260, 2046], [1, 50, 315, 2040, 6510, 16380, 26670, 30840, 22995, 10250, 2047], [2, 40, 360, 1920, 6720, 16128, 26880, 30720, 23040, 10240, 2048], [3, 30, 405, 1800, 6930, 15876, 27090, 30600, 23085, 10230, 2049], [4, 20, 450, 1680, 7140, 15624, 27300, 30480, 23130, 10220, 2050], [5, 10, 495, 1560, 7350, 15372, 27510, 30360, 23175, 10210, 2051], [6, 0, 540, 1440, 7560, 15120, 27720, 30240, 23220, 10200, 2052]}
(11, 118098, 9) has 109 possible DDs: {[0, 0, 330, 0, 5940, 5544, 24948, 23760, 30690, 17820, 7722, 1344], [0, 1, 320, 45, 5820, 5754, 24696, 23970, 30570, 17865, 7712, 1345], [0, 2, 310, 90, 5700, 5964, 24444, 24180, 30450, 17910, 7702, 1346], [0, 3, 300, 135, 5580, 6174, 24192, 24390, 30330, 17955, 7692, 1347], [0, 4, 290, 180, 5460, 6384, 23940, 24600, 30210, 18000, 7682, 1348], [0, 5, 280, 225, 5340, 6594, 23688, 24810, 30090, 18045, 7672, 1349], [0, 6, 270, 270, 5220, 6804, 23436, 25020, 29970, 18090, 7662, 1350], [0, 7, 260, 315, 5100, 7014, 23184, 25230, 29850, 18135, 7652, 1351], [0, 8, 250, 360, 4980, 7224, 22932, 25440, 29730, 18180, 7642, 1352], [0, 9, 240, 405, 4860, 7434, 22680, 25650, 29610, 18225, 7632, 1353], [0, 10, 230, 450, 4740, 7644, 22428, 25860, 29490, 18270, 7622, 1354], [0, 11, 220, 495, 4620, 7854, 22176, 26070, 29370, 18315, 7612, 1355], [0, 12, 210, 540, 4500, 8064, 21924, 26280, 29250, 18360, 7602, 1356], [0, 13, 200, 585, 4380, 8274, 21672, 26490, 29130, 18405, 7592, 1357], [0, 14, 190, 630, 4260, 8484, 21420, 26700, 29010, 18450, 7582, 1358], [0, 15, 180, 675, 4140, 8694, 21168, 26910, 28890, 18495, 7572, 1359], [0, 16, 170, 720, 4020, 8904, 20916, 27120, 28770, 18540, 7562, 1360], [0, 17, 160, 765, 3900, 9114, 20664, 27330, 28650, 18585, 7552, 1361], [0, 18, 150, 810, 3780, 9324, 20412, 27540, 28530, 18630, 7542, 1362], [0, 19, 140, 855, 3660, 9534, 20160, 27750, 28410, 18675, 7532, 1363], [0, 20, 130, 900, 3540, 9744, 19908, 27960, 28290, 18720, 7522, 1364], [0, 21, 120, 945, 3420, 9954, 19656, 28170, 28170, 18765, 7512, 1365], [0, 22, 110, 990, 3300, 10164, 19404, 28380, 28050, 18810, 7502, 1366], [0, 23, 100, 1035, 3180, 10374, 19152, 28590, 27930, 18855, 7492, 1367], [0, 24, 90, 1080, 3060, 10584, 18900, 28800, 27810, 18900, 7482, 1368], [0, 25, 80, 1125, 2940, 10794, 18648, 29010, 27690, 18945, 7472, 1369], [0, 26, 70, 1170, 2820, 11004, 18396, 29220, 27570, 18990, 7462, 1370], [0, 27, 60, 1215, 2700, 11214, 18144, 29430, 27450, 19035, 7452, 1371], [0, 28, 50, 1260, 2580, 11424, 17892, 29640, 27330, 19080, 7442, 1372], [0, 29, 40, 1305, 2460, 11634, 17640, 29850, 27210, 19125, 7432, 1373], [0, 30, 30, 1350, 2340, 11844, 17388, 30060, 27090, 19170, 7422, 1374], [0, 31, 20, 1395, 2220, 12054, 17136, 30270, 26970, 19215, 7412, 1375], [0, 32, 10, 1440, 2100, 12264, 16884, 30480, 26850, 19260, 7402, 1376], [0, 33, 0, 1485, 1980, 12474, 16632, 30690, 26730, 19305, 7392, 1377], [1, 0, 275, 330, 4950, 7392, 22638, 25740, 29535, 18260, 7623, 1354], [1, 1, 265, 375, 4830, 7602, 22386, 25950, 29415, 18305, 7613, 1355], [1, 2, 255, 420, 4710, 7812, 22134, 26160, 29295, 18350, 7603, 1356], [1, 3, 245, 465, 4590, 8022, 21882, 26370, 29175, 18395, 7593, 1357], [1, 4, 235, 510, 4470, 8232, 21630, 26580, 29055, 18440, 7583, 1358], [1, 5, 225, 555, 4350, 8442, 21378, 26790, 28935, 18485, 7573, 1359], [1, 6, 215, 600, 4230, 8652, 21126, 27000, 28815, 18530, 7563, 1360], [1, 7, 205, 645, 4110, 8862, 20874, 27210, 28695, 18575, 7553, 1361], [1, 8, 195, 690, 3990, 9072, 20622, 27420, 28575, 18620, 7543, 1362], [1, 9, 185, 735, 3870, 9282, 20370, 27630, 28455, 18665, 7533, 1363], [1, 10, 175, 780, 3750, 9492, 20118, 27840, 28335, 18710, 7523, 1364], [1, 11, 165, 825, 3630, 9702, 19866, 28050, 28215, 18755, 7513, 1365], [1, 12, 155, 870, 3510, 9912, 19614, 28260, 28095, 18800, 7503, 1366], [1, 13, 145, 915, 3390, 10122, 19362, 28470, 27975, 18845, 7493, 1367], [1, 14, 135, 960, 3270, 10332, 19110, 28680, 27855, 18890, 7483, 1368], [1, 15, 125, 1005, 3150, 10542, 18858, 28890, 27735, 18935, 7473, 1369], [1, 16, 115, 1050, 3030, 10752, 18606, 29100, 27615, 18980, 7463, 1370], [1, 17, 105, 1095, 2910, 10962, 18354, 29310, 27495, 19025, 7453, 1371], [1, 18, 95, 1140, 2790, 11172, 18102, 29520, 27375, 19070, 7443, 1372], [1, 19, 85, 1185, 2670, 11382, 17850, 29730, 27255, 19115, 7433, 1373], [1, 20, 75, 1230, 2550, 11592, 17598, 29940, 27135, 19160, 7423, 1374], [1, 21, 65, 1275, 2430, 11802, 17346, 30150, 27015, 19205, 7413, 1375], [1, 22, 55, 1320, 2310, 12012, 17094, 30360, 26895, 19250, 7403, 1376], [1, 23, 45, 1365, 2190, 12222, 16842, 30570, 26775, 19295, 7393, 1377], [2, 0, 220, 660, 3960, 9240, 20328, 27720, 28380, 18700, 7524, 1364], [2, 1, 210, 705, 3840, 9450, 20076, 27930, 28260, 18745, 7514, 1365], [2, 2, 200, 750, 3720, 9660, 19824, 28140, 28140, 18790, 7504, 1366], [2, 3, 190, 795, 3600, 9870, 19572, 28350, 28020, 18835, 7494, 1367], [2, 4, 180, 840, 3480, 10080, 19320, 28560, 27900, 18880, 7484, 1368], [2, 5, 170, 885, 3360, 10290, 19068, 28770, 27780, 18925, 7474, 1369], [2, 6, 160, 930, 3240, 10500, 18816, 28980, 27660, 18970, 7464, 1370], [2, 7, 150, 975, 3120, 10710, 18564, 29190, 27540, 19015, 7454, 1371], [2, 8, 140, 1020, 3000, 10920, 18312, 29400, 27420, 19060, 7444, 1372], [2, 9, 130, 1065, 2880, 11130, 18060, 29610, 27300, 19105, 7434, 1373], [2, 10, 120, 1110, 2760, 11340, 17808, 29820, 27180, 19150, 7424, 1374], [2, 11, 110, 1155, 2640, 11550, 17556, 30030, 27060, 19195, 7414, 1375], [2, 12, 100, 1200, 2520, 11760, 17304, 30240, 26940, 19240, 7404, 1376], [2, 13, 90, 1245, 2400, 11970, 17052, 30450, 26820, 19285, 7394, 1377], [2, 14, 80, 1290, 2280, 12180, 16800, 30660, 26700, 19330, 7384, 1378], [2, 15, 70, 1335, 2160, 12390, 16548, 30870, 26580, 19375, 7374, 1379], [2, 16, 60, 1380, 2040, 12600, 16296, 31080, 26460, 19420, 7364, 1380], [2, 17, 50, 1425, 1920, 12810, 16044, 31290, 26340, 19465, 7354, 1381], [2, 18, 40, 1470, 1800, 13020, 15792, 31500, 26220, 19510, 7344, 1382], [2, 19, 30, 1515, 1680, 13230, 15540, 31710, 26100, 19555, 7334, 1383], [2, 20, 20, 1560, 1560, 13440, 15288, 31920, 25980, 19600, 7324, 1384], [2, 21, 10, 1605, 1440, 13650, 15036, 32130, 25860, 19645, 7314, 1385], [2, 22, 0, 1650, 1320, 13860, 14784, 32340, 25740, 19690, 7304, 1386], [3, 0, 165, 990, 2970, 11088, 18018, 29700, 27225, 19140, 7425, 1374], [3, 1, 155, 1035, 2850, 11298, 17766, 29910, 27105, 19185, 7415, 1375], [3, 2, 145, 1080, 2730, 11508, 17514, 30120, 26985, 19230, 7405, 1376], [3, 3, 135, 1125, 2610, 11718, 17262, 30330, 26865, 19275, 7395, 1377], [3, 4, 125, 1170, 2490, 11928, 17010, 30540, 26745, 19320, 7385, 1378], [3, 5, 115, 1215, 2370, 12138, 16758, 30750, 26625, 19365, 7375, 1379], [3, 6, 105, 1260, 2250, 12348, 16506, 30960, 26505, 19410, 7365, 1380], [3, 7, 95, 1305, 2130, 12558, 16254, 31170, 26385, 19455, 7355, 1381], [3, 8, 85, 1350, 2010, 12768, 16002, 31380, 26265, 19500, 7345, 1382], [3, 9, 75, 1395, 1890, 12978, 15750, 31590, 26145, 19545, 7335, 1383], [3, 10, 65, 1440, 1770, 13188, 15498, 31800, 26025, 19590, 7325, 1384], [3, 11, 55, 1485, 1650, 13398, 15246, 32010, 25905, 19635, 7315, 1385], [3, 12, 45, 1530, 1530, 13608, 14994, 32220, 25785, 19680, 7305, 1386], [4, 0, 110, 1320, 1980, 12936, 15708, 31680, 26070, 19580, 7326, 1384], [4, 1, 100, 1365, 1860, 13146, 15456, 31890, 25950, 19625, 7316, 1385], [4, 2, 90, 1410, 1740, 13356, 15204, 32100, 25830, 19670, 7306, 1386], [4, 3, 80, 1455, 1620, 13566, 14952, 32310, 25710, 19715, 7296, 1387], [4, 4, 70, 1500, 1500, 13776, 14700, 32520, 25590, 19760, 7286, 1388], [4, 5, 60, 1545, 1380, 13986, 14448, 32730, 25470, 19805, 7276, 1389], [4, 6, 50, 1590, 1260, 14196, 14196, 32940, 25350, 19850, 7266, 1390], [4, 7, 40, 1635, 1140, 14406, 13944, 33150, 25230, 19895, 7256, 1391], [4, 8, 30, 1680, 1020, 14616, 13692, 33360, 25110, 19940, 7246, 1392], [4, 9, 20, 1725, 900, 14826, 13440, 33570, 24990, 19985, 7236, 1393], [4, 10, 10, 1770, 780, 15036, 13188, 33780, 24870, 20030, 7226, 1394], [4, 11, 0, 1815, 660, 15246, 12936, 33990, 24750, 20075, 7216, 1395], [5, 0, 55, 1650, 990, 14784, 13398, 33660, 24915, 20020, 7227, 1394], [5, 1, 45, 1695, 870, 14994, 13146, 33870, 24795, 20065, 7217, 1395], [6, 0, 0, 1980, 0, 16632, 11088, 35640, 23760, 20460, 7128, 1404]}
(12, 118098, 9) has 1824 possible DDs: {[0, 0, 75, 570, 405, 10008, 4662, 33372, 18720, 30600, 12879, 5946, 861], [0, 0, 76, 560, 450, 9888, 4872, 33120, 18930, 30480, 12924, 5936, 862], [0, 0, 77, 550, 495, 9768, 5082, 32868, 19140, 30360, 12969, 5926, 863], [0, 0, 78, 540, 540, 9648, 5292, 32616, 19350, 30240, 13014, 5916, 864], [0, 0, 79, 530, 585, 9528, 5502, 32364, 19560, 30120, 13059, 5906, 865], [0, 0, 80, 520, 630, 9408, 5712, 32112, 19770, 30000, 13104, 5896, 866], [0, 0, 81, 510, 675, 9288, 5922, 31860, 19980, 29880, 13149, 5886, 867], [0, 0, 82, 500, 720, 9168, 6132, 31608, 20190, 29760, 13194, 5876, 868], [0, 0, 83, 490, 765, 9048, 6342, 31356, 20400, 29640, 13239, 5866, 869], [0, 0, 84, 480, 810, 8928, 6552, 31104, 20610, 29520, 13284, 5856, 870], [0, 0, 85, 470, 855, 8808, 6762, 30852, 20820, 29400, 13329, 5846, 871], [0, 0, 86, 460, 900, 8688, 6972, 30600, 21030, 29280, 13374, 5836, 872], [0, 0, 87, 450, 945, 8568, 7182, 30348, 21240, 29160, 13419, 5826, 873], [0, 0, 88, 440, 990, 8448, 7392, 30096, 21450, 29040, 13464, 5816, 874], [0, 0, 89, 430, 1035, 8328, 7602, 29844, 21660, 28920, 13509, 5806, 875], [0, 0, 90, 420, 1080, 8208, 7812, 29592, 21870, 28800, 13554, 5796, 876], [0, 0, 91, 410, 1125, 8088, 8022, 29340, 22080, 28680, 13599, 5786, 877], [0, 0, 92, 400, 1170, 7968, 8232, 29088, 22290, 28560, 13644, 5776, 878], [0, 0, 93, 390, 1215, 7848, 8442, 28836, 22500, 28440, 13689, 5766, 879], [0, 0, 94, 380, 1260, 7728, 8652, 28584, 22710, 28320, 13734, 5756, 880], [0, 0, 95, 370, 1305, 7608, 8862, 28332, 22920, 28200, 13779, 5746, 881], [0, 0, 96, 360, 1350, 7488, 9072, 28080, 23130, 28080, 13824, 5736, 882], [0, 0, 97, 350, 1395, 7368, 9282, 27828, 23340, 27960, 13869, 5726, 883], [0, 0, 98, 340, 1440, 7248, 9492, 27576, 23550, 27840, 13914, 5716, 884], [0, 0, 99, 330, 1485, 7128, 9702, 27324, 23760, 27720, 13959, 5706, 885], [0, 0, 100, 320, 1530, 7008, 9912, 27072, 23970, 27600, 14004, 5696, 886], [0, 0, 101, 310, 1575, 6888, 10122, 26820, 24180, 27480, 14049, 5686, 887], [0, 0, 102, 300, 1620, 6768, 10332, 26568, 24390, 27360, 14094, 5676, 888], [0, 0, 103, 290, 1665, 6648, 10542, 26316, 24600, 27240, 14139, 5666, 889], [0, 0, 104, 280, 1710, 6528, 10752, 26064, 24810, 27120, 14184, 5656, 890], [0, 0, 105, 270, 1755, 6408, 10962, 25812, 25020, 27000, 14229, 5646, 891], [0, 0, 106, 260, 1800, 6288, 11172, 25560, 25230, 26880, 14274, 5636, 892], [0, 0, 107, 250, 1845, 6168, 11382, 25308, 25440, 26760, 14319, 5626, 893], [0, 0, 108, 240, 1890, 6048, 11592, 25056, 25650, 26640, 14364, 5616, 894], [0, 0, 109, 230, 1935, 5928, 11802, 24804, 25860, 26520, 14409, 5606, 895], [0, 0, 110, 220, 1980, 5808, 12012, 24552, 26070, 26400, 14454, 5596, 896], [0, 0, 111, 210, 2025, 5688, 12222, 24300, 26280, 26280, 14499, 5586, 897], [0, 0, 112, 200, 2070, 5568, 12432, 24048, 26490, 26160, 14544, 5576, 898], [0, 0, 113, 190, 2115, 5448, 12642, 23796, 26700, 26040, 14589, 5566, 899], [0, 0, 114, 180, 2160, 5328, 12852, 23544, 26910, 25920, 14634, 5556, 900], [0, 0, 115, 170, 2205, 5208, 13062, 23292, 27120, 25800, 14679, 5546, 901], [0, 0, 116, 160, 2250, 5088, 13272, 23040, 27330, 25680, 14724, 5536, 902], [0, 0, 117, 150, 2295, 4968, 13482, 22788, 27540, 25560, 14769, 5526, 903], [0, 0, 118, 140, 2340, 4848, 13692, 22536, 27750, 25440, 14814, 5516, 904], [0, 0, 119, 130, 2385, 4728, 13902, 22284, 27960, 25320, 14859, 5506, 905], [0, 0, 120, 120, 2430, 4608, 14112, 22032, 28170, 25200, 14904, 5496, 906], [0, 0, 121, 110, 2475, 4488, 14322, 21780, 28380, 25080, 14949, 5486, 907], [0, 0, 122, 100, 2520, 4368, 14532, 21528, 28590, 24960, 14994, 5476, 908], [0, 0, 123, 90, 2565, 4248, 14742, 21276, 28800, 24840, 15039, 5466, 909], [0, 0, 124, 80, 2610, 4128, 14952, 21024, 29010, 24720, 15084, 5456, 910], [0, 0, 125, 70, 2655, 4008, 15162, 20772, 29220, 24600, 15129, 5446, 911], [0, 0, 126, 60, 2700, 3888, 15372, 20520, 29430, 24480, 15174, 5436, 912], [0, 0, 127, 50, 2745, 3768, 15582, 20268, 29640, 24360, 15219, 5426, 913], [0, 0, 128, 40, 2790, 3648, 15792, 20016, 29850, 24240, 15264, 5416, 914], [0, 0, 129, 30, 2835, 3528, 16002, 19764, 30060, 24120, 15309, 5406, 915], [0, 0, 130, 20, 2880, 3408, 16212, 19512, 30270, 24000, 15354, 5396, 916], [0, 0, 131, 10, 2925, 3288, 16422, 19260, 30480, 23880, 15399, 5386, 917], [0, 0, 132, 0, 2970, 3168, 16632, 19008, 30690, 23760, 15444, 5376, 918], [0, 1, 68, 585, 420, 9858, 5040, 32826, 19230, 30285, 13004, 5917, 864], [0, 1, 69, 575, 465, 9738, 5250, 32574, 19440, 30165, 13049, 5907, 865], [0, 1, 70, 565, 510, 9618, 5460, 32322, 19650, 30045, 13094, 5897, 866], [0, 1, 71, 555, 555, 9498, 5670, 32070, 19860, 29925, 13139, 5887, 867], [0, 1, 72, 545, 600, 9378, 5880, 31818, 20070, 29805, 13184, 5877, 868], [0, 1, 73, 535, 645, 9258, 6090, 31566, 20280, 29685, 13229, 5867, 869], [0, 1, 74, 525, 690, 9138, 6300, 31314, 20490, 29565, 13274, 5857, 870], [0, 1, 75, 515, 735, 9018, 6510, 31062, 20700, 29445, 13319, 5847, 871], [0, 1, 76, 505, 780, 8898, 6720, 30810, 20910, 29325, 13364, 5837, 872], [0, 1, 77, 495, 825, 8778, 6930, 30558, 21120, 29205, 13409, 5827, 873], [0, 1, 78, 485, 870, 8658, 7140, 30306, 21330, 29085, 13454, 5817, 874], [0, 1, 79, 475, 915, 8538, 7350, 30054, 21540, 28965, 13499, 5807, 875], [0, 1, 80, 465, 960, 8418, 7560, 29802, 21750, 28845, 13544, 5797, 876], [0, 1, 81, 455, 1005, 8298, 7770, 29550, 21960, 28725, 13589, 5787, 877], [0, 1, 82, 445, 1050, 8178, 7980, 29298, 22170, 28605, 13634, 5777, 878], [0, 1, 83, 435, 1095, 8058, 8190, 29046, 22380, 28485, 13679, 5767, 879], [0, 1, 84, 425, 1140, 7938, 8400, 28794, 22590, 28365, 13724, 5757, 880], [0, 1, 85, 415, 1185, 7818, 8610, 28542, 22800, 28245, 13769, 5747, 881], [0, 1, 86, 405, 1230, 7698, 8820, 28290, 23010, 28125, 13814, 5737, 882], [0, 1, 87, 395, 1275, 7578, 9030, 28038, 23220, 28005, 13859, 5727, 883], [0, 1, 88, 385, 1320, 7458, 9240, 27786, 23430, 27885, 13904, 5717, 884], [0, 1, 89, 375, 1365, 7338, 9450, 27534, 23640, 27765, 13949, 5707, 885], [0, 1, 90, 365, 1410, 7218, 9660, 27282, 23850, 27645, 13994, 5697, 886], [0, 1, 91, 355, 1455, 7098, 9870, 27030, 24060, 27525, 14039, 5687, 887], [0, 1, 92, 345, 1500, 6978, 10080, 26778, 24270, 27405, 14084, 5677, 888], [0, 1, 93, 335, 1545, 6858, 10290, 26526, 24480, 27285, 14129, 5667, 889], [0, 1, 94, 325, 1590, 6738, 10500, 26274, 24690, 27165, 14174, 5657, 890], [0, 1, 95, 315, 1635, 6618, 10710, 26022, 24900, 27045, 14219, 5647, 891], [0, 1, 96, 305, 1680, 6498, 10920, 25770, 25110, 26925, 14264, 5637, 892], [0, 1, 97, 295, 1725, 6378, 11130, 25518, 25320, 26805, 14309, 5627, 893], [0, 1, 98, 285, 1770, 6258, 11340, 25266, 25530, 26685, 14354, 5617, 894], [0, 1, 99, 275, 1815, 6138, 11550, 25014, 25740, 26565, 14399, 5607, 895], [0, 1, 100, 265, 1860, 6018, 11760, 24762, 25950, 26445, 14444, 5597, 896], [0, 1, 101, 255, 1905, 5898, 11970, 24510, 26160, 26325, 14489, 5587, 897], [0, 1, 102, 245, 1950, 5778, 12180, 24258, 26370, 26205, 14534, 5577, 898], [0, 1, 103, 235, 1995, 5658, 12390, 24006, 26580, 26085, 14579, 5567, 899], [0, 1, 104, 225, 2040, 5538, 12600, 23754, 26790, 25965, 14624, 5557, 900], [0, 1, 105, 215, 2085, 5418, 12810, 23502, 27000, 25845, 14669, 5547, 901], [0, 1, 106, 205, 2130, 5298, 13020, 23250, 27210, 25725, 14714, 5537, 902], [0, 1, 107, 195, 2175, 5178, 13230, 22998, 27420, 25605, 14759, 5527, 903], [0, 1, 108, 185, 2220, 5058, 13440, 22746, 27630, 25485, 14804, 5517, 904], [0, 1, 109, 175, 2265, 4938, 13650, 22494, 27840, 25365, 14849, 5507, 905], [0, 1, 110, 165, 2310, 4818, 13860, 22242, 28050, 25245, 14894, 5497, 906], [0, 1, 111, 155, 2355, 4698, 14070, 21990, 28260, 25125, 14939, 5487, 907], [0, 1, 112, 145, 2400, 4578, 14280, 21738, 28470, 25005, 14984, 5477, 908], [0, 1, 113, 135, 2445, 4458, 14490, 21486, 28680, 24885, 15029, 5467, 909], [0, 1, 114, 125, 2490, 4338, 14700, 21234, 28890, 24765, 15074, 5457, 910], [0, 1, 115, 115, 2535, 4218, 14910, 20982, 29100, 24645, 15119, 5447, 911], [0, 1, 116, 105, 2580, 4098, 15120, 20730, 29310, 24525, 15164, 5437, 912], [0, 1, 117, 95, 2625, 3978, 15330, 20478, 29520, 24405, 15209, 5427, 913], [0, 1, 118, 85, 2670, 3858, 15540, 20226, 29730, 24285, 15254, 5417, 914], [0, 1, 119, 75, 2715, 3738, 15750, 19974, 29940, 24165, 15299, 5407, 915], [0, 1, 120, 65, 2760, 3618, 15960, 19722, 30150, 24045, 15344, 5397, 916], [0, 1, 121, 55, 2805, 3498, 16170, 19470, 30360, 23925, 15389, 5387, 917], [0, 1, 122, 45, 2850, 3378, 16380, 19218, 30570, 23805, 15434, 5377, 918], [0, 2, 61, 600, 435, 9708, 5418, 32280, 19740, 29970, 13129, 5888, 867], [0, 2, 62, 590, 480, 9588, 5628, 32028, 19950, 29850, 13174, 5878, 868], [0, 2, 63, 580, 525, 9468, 5838, 31776, 20160, 29730, 13219, 5868, 869], [0, 2, 64, 570, 570, 9348, 6048, 31524, 20370, 29610, 13264, 5858, 870], [0, 2, 65, 560, 615, 9228, 6258, 31272, 20580, 29490, 13309, 5848, 871], [0, 2, 66, 550, 660, 9108, 6468, 31020, 20790, 29370, 13354, 5838, 872], [0, 2, 67, 540, 705, 8988, 6678, 30768, 21000, 29250, 13399, 5828, 873], 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