------- (11, 39366, 8) ALL distance distributions for EXTERNAL point (8, 39366, 8) has 0 possible DDs: {} (9, 39366, 8) has 1 possible DDs: {[0, 54, 216, 1512, 3780, 8316, 10584, 9288, 4590, 1026]} (10, 39366, 8) has 31 possible DDs: {[0, 0, 270, 0, 3780, 3024, 11340, 8640, 8370, 3240, 702], [0, 1, 261, 36, 3696, 3150, 11214, 8724, 8334, 3249, 701], [0, 2, 252, 72, 3612, 3276, 11088, 8808, 8298, 3258, 700], [0, 3, 243, 108, 3528, 3402, 10962, 8892, 8262, 3267, 699], [0, 4, 234, 144, 3444, 3528, 10836, 8976, 8226, 3276, 698], [0, 5, 225, 180, 3360, 3654, 10710, 9060, 8190, 3285, 697], [0, 6, 216, 216, 3276, 3780, 10584, 9144, 8154, 3294, 696], [0, 7, 207, 252, 3192, 3906, 10458, 9228, 8118, 3303, 695], [0, 8, 198, 288, 3108, 4032, 10332, 9312, 8082, 3312, 694], [0, 9, 189, 324, 3024, 4158, 10206, 9396, 8046, 3321, 693], [0, 10, 180, 360, 2940, 4284, 10080, 9480, 8010, 3330, 692], [0, 11, 171, 396, 2856, 4410, 9954, 9564, 7974, 3339, 691], [0, 12, 162, 432, 2772, 4536, 9828, 9648, 7938, 3348, 690], [0, 13, 153, 468, 2688, 4662, 9702, 9732, 7902, 3357, 689], [0, 14, 144, 504, 2604, 4788, 9576, 9816, 7866, 3366, 688], [0, 15, 135, 540, 2520, 4914, 9450, 9900, 7830, 3375, 687], [0, 16, 126, 576, 2436, 5040, 9324, 9984, 7794, 3384, 686], [0, 17, 117, 612, 2352, 5166, 9198, 10068, 7758, 3393, 685], [0, 18, 108, 648, 2268, 5292, 9072, 10152, 7722, 3402, 684], [0, 19, 99, 684, 2184, 5418, 8946, 10236, 7686, 3411, 683], [0, 20, 90, 720, 2100, 5544, 8820, 10320, 7650, 3420, 682], [0, 21, 81, 756, 2016, 5670, 8694, 10404, 7614, 3429, 681], [0, 22, 72, 792, 1932, 5796, 8568, 10488, 7578, 3438, 680], [0, 23, 63, 828, 1848, 5922, 8442, 10572, 7542, 3447, 679], [0, 24, 54, 864, 1764, 6048, 8316, 10656, 7506, 3456, 678], [0, 25, 45, 900, 1680, 6174, 8190, 10740, 7470, 3465, 677], [0, 26, 36, 936, 1596, 6300, 8064, 10824, 7434, 3474, 676], [0, 27, 27, 972, 1512, 6426, 7938, 10908, 7398, 3483, 675], [0, 28, 18, 1008, 1428, 6552, 7812, 10992, 7362, 3492, 674], [0, 29, 9, 1044, 1344, 6678, 7686, 11076, 7326, 3501, 673], [0, 30, 0, 1080, 1260, 6804, 7560, 11160, 7290, 3510, 672]} (11, 39366, 8) has 878 possible DDs: {[0, 0, 55, 495, 0, 6468, 1386, 14850, 5610, 7920, 2079, 503], [0, 0, 56, 486, 36, 6384, 1512, 14724, 5694, 7884, 2088, 502], [0, 0, 57, 477, 72, 6300, 1638, 14598, 5778, 7848, 2097, 501], [0, 0, 58, 468, 108, 6216, 1764, 14472, 5862, 7812, 2106, 500], [0, 0, 59, 459, 144, 6132, 1890, 14346, 5946, 7776, 2115, 499], [0, 0, 60, 450, 180, 6048, 2016, 14220, 6030, 7740, 2124, 498], [0, 0, 61, 441, 216, 5964, 2142, 14094, 6114, 7704, 2133, 497], [0, 0, 62, 432, 252, 5880, 2268, 13968, 6198, 7668, 2142, 496], [0, 0, 63, 423, 288, 5796, 2394, 13842, 6282, 7632, 2151, 495], [0, 0, 64, 414, 324, 5712, 2520, 13716, 6366, 7596, 2160, 494], [0, 0, 65, 405, 360, 5628, 2646, 13590, 6450, 7560, 2169, 493], [0, 0, 66, 396, 396, 5544, 2772, 13464, 6534, 7524, 2178, 492], [0, 0, 67, 387, 432, 5460, 2898, 13338, 6618, 7488, 2187, 491], [0, 0, 68, 378, 468, 5376, 3024, 13212, 6702, 7452, 2196, 490], [0, 0, 69, 369, 504, 5292, 3150, 13086, 6786, 7416, 2205, 489], [0, 0, 70, 360, 540, 5208, 3276, 12960, 6870, 7380, 2214, 488], [0, 0, 71, 351, 576, 5124, 3402, 12834, 6954, 7344, 2223, 487], [0, 0, 72, 342, 612, 5040, 3528, 12708, 7038, 7308, 2232, 486], [0, 0, 73, 333, 648, 4956, 3654, 12582, 7122, 7272, 2241, 485], [0, 0, 74, 324, 684, 4872, 3780, 12456, 7206, 7236, 2250, 484], [0, 0, 75, 315, 720, 4788, 3906, 12330, 7290, 7200, 2259, 483], [0, 0, 76, 306, 756, 4704, 4032, 12204, 7374, 7164, 2268, 482], [0, 0, 77, 297, 792, 4620, 4158, 12078, 7458, 7128, 2277, 481], [0, 0, 78, 288, 828, 4536, 4284, 11952, 7542, 7092, 2286, 480], [0, 0, 79, 279, 864, 4452, 4410, 11826, 7626, 7056, 2295, 479], [0, 0, 80, 270, 900, 4368, 4536, 11700, 7710, 7020, 2304, 478], [0, 0, 81, 261, 936, 4284, 4662, 11574, 7794, 6984, 2313, 477], [0, 0, 82, 252, 972, 4200, 4788, 11448, 7878, 6948, 2322, 476], [0, 0, 83, 243, 1008, 4116, 4914, 11322, 7962, 6912, 2331, 475], [0, 0, 84, 234, 1044, 4032, 5040, 11196, 8046, 6876, 2340, 474], [0, 0, 85, 225, 1080, 3948, 5166, 11070, 8130, 6840, 2349, 473], [0, 0, 86, 216, 1116, 3864, 5292, 10944, 8214, 6804, 2358, 472], [0, 0, 87, 207, 1152, 3780, 5418, 10818, 8298, 6768, 2367, 471], [0, 0, 88, 198, 1188, 3696, 5544, 10692, 8382, 6732, 2376, 470], [0, 0, 89, 189, 1224, 3612, 5670, 10566, 8466, 6696, 2385, 469], [0, 0, 90, 180, 1260, 3528, 5796, 10440, 8550, 6660, 2394, 468], [0, 0, 91, 171, 1296, 3444, 5922, 10314, 8634, 6624, 2403, 467], [0, 0, 92, 162, 1332, 3360, 6048, 10188, 8718, 6588, 2412, 466], [0, 0, 93, 153, 1368, 3276, 6174, 10062, 8802, 6552, 2421, 465], [0, 0, 94, 144, 1404, 3192, 6300, 9936, 8886, 6516, 2430, 464], [0, 0, 95, 135, 1440, 3108, 6426, 9810, 8970, 6480, 2439, 463], [0, 0, 96, 126, 1476, 3024, 6552, 9684, 9054, 6444, 2448, 462], [0, 0, 97, 117, 1512, 2940, 6678, 9558, 9138, 6408, 2457, 461], [0, 0, 98, 108, 1548, 2856, 6804, 9432, 9222, 6372, 2466, 460], [0, 0, 99, 99, 1584, 2772, 6930, 9306, 9306, 6336, 2475, 459], [0, 0, 100, 90, 1620, 2688, 7056, 9180, 9390, 6300, 2484, 458], [0, 0, 101, 81, 1656, 2604, 7182, 9054, 9474, 6264, 2493, 457], [0, 0, 102, 72, 1692, 2520, 7308, 8928, 9558, 6228, 2502, 456], [0, 0, 103, 63, 1728, 2436, 7434, 8802, 9642, 6192, 2511, 455], [0, 0, 104, 54, 1764, 2352, 7560, 8676, 9726, 6156, 2520, 454], [0, 0, 105, 45, 1800, 2268, 7686, 8550, 9810, 6120, 2529, 453], [0, 0, 106, 36, 1836, 2184, 7812, 8424, 9894, 6084, 2538, 452], [0, 0, 107, 27, 1872, 2100, 7938, 8298, 9978, 6048, 2547, 451], [0, 0, 108, 18, 1908, 2016, 8064, 8172, 10062, 6012, 2556, 450], [0, 0, 109, 9, 1944, 1932, 8190, 8046, 10146, 5976, 2565, 449], [0, 0, 110, 0, 1980, 1848, 8316, 7920, 10230, 5940, 2574, 448], [0, 1, 49, 504, 24, 6342, 1638, 14556, 5826, 7821, 2105, 500], [0, 1, 50, 495, 60, 6258, 1764, 14430, 5910, 7785, 2114, 499], [0, 1, 51, 486, 96, 6174, 1890, 14304, 5994, 7749, 2123, 498], [0, 1, 52, 477, 132, 6090, 2016, 14178, 6078, 7713, 2132, 497], [0, 1, 53, 468, 168, 6006, 2142, 14052, 6162, 7677, 2141, 496], [0, 1, 54, 459, 204, 5922, 2268, 13926, 6246, 7641, 2150, 495], [0, 1, 55, 450, 240, 5838, 2394, 13800, 6330, 7605, 2159, 494], [0, 1, 56, 441, 276, 5754, 2520, 13674, 6414, 7569, 2168, 493], [0, 1, 57, 432, 312, 5670, 2646, 13548, 6498, 7533, 2177, 492], [0, 1, 58, 423, 348, 5586, 2772, 13422, 6582, 7497, 2186, 491], [0, 1, 59, 414, 384, 5502, 2898, 13296, 6666, 7461, 2195, 490], [0, 1, 60, 405, 420, 5418, 3024, 13170, 6750, 7425, 2204, 489], [0, 1, 61, 396, 456, 5334, 3150, 13044, 6834, 7389, 2213, 488], [0, 1, 62, 387, 492, 5250, 3276, 12918, 6918, 7353, 2222, 487], [0, 1, 63, 378, 528, 5166, 3402, 12792, 7002, 7317, 2231, 486], [0, 1, 64, 369, 564, 5082, 3528, 12666, 7086, 7281, 2240, 485], [0, 1, 65, 360, 600, 4998, 3654, 12540, 7170, 7245, 2249, 484], [0, 1, 66, 351, 636, 4914, 3780, 12414, 7254, 7209, 2258, 483], [0, 1, 67, 342, 672, 4830, 3906, 12288, 7338, 7173, 2267, 482], [0, 1, 68, 333, 708, 4746, 4032, 12162, 7422, 7137, 2276, 481], [0, 1, 69, 324, 744, 4662, 4158, 12036, 7506, 7101, 2285, 480], [0, 1, 70, 315, 780, 4578, 4284, 11910, 7590, 7065, 2294, 479], [0, 1, 71, 306, 816, 4494, 4410, 11784, 7674, 7029, 2303, 478], [0, 1, 72, 297, 852, 4410, 4536, 11658, 7758, 6993, 2312, 477], [0, 1, 73, 288, 888, 4326, 4662, 11532, 7842, 6957, 2321, 476], [0, 1, 74, 279, 924, 4242, 4788, 11406, 7926, 6921, 2330, 475], [0, 1, 75, 270, 960, 4158, 4914, 11280, 8010, 6885, 2339, 474], [0, 1, 76, 261, 996, 4074, 5040, 11154, 8094, 6849, 2348, 473], [0, 1, 77, 252, 1032, 3990, 5166, 11028, 8178, 6813, 2357, 472], [0, 1, 78, 243, 1068, 3906, 5292, 10902, 8262, 6777, 2366, 471], [0, 1, 79, 234, 1104, 3822, 5418, 10776, 8346, 6741, 2375, 470], [0, 1, 80, 225, 1140, 3738, 5544, 10650, 8430, 6705, 2384, 469], [0, 1, 81, 216, 1176, 3654, 5670, 10524, 8514, 6669, 2393, 468], [0, 1, 82, 207, 1212, 3570, 5796, 10398, 8598, 6633, 2402, 467], [0, 1, 83, 198, 1248, 3486, 5922, 10272, 8682, 6597, 2411, 466], [0, 1, 84, 189, 1284, 3402, 6048, 10146, 8766, 6561, 2420, 465], [0, 1, 85, 180, 1320, 3318, 6174, 10020, 8850, 6525, 2429, 464], [0, 1, 86, 171, 1356, 3234, 6300, 9894, 8934, 6489, 2438, 463], [0, 1, 87, 162, 1392, 3150, 6426, 9768, 9018, 6453, 2447, 462], [0, 1, 88, 153, 1428, 3066, 6552, 9642, 9102, 6417, 2456, 461], [0, 1, 89, 144, 1464, 2982, 6678, 9516, 9186, 6381, 2465, 460], [0, 1, 90, 135, 1500, 2898, 6804, 9390, 9270, 6345, 2474, 459], [0, 1, 91, 126, 1536, 2814, 6930, 9264, 9354, 6309, 2483, 458], [0, 1, 92, 117, 1572, 2730, 7056, 9138, 9438, 6273, 2492, 457], [0, 1, 93, 108, 1608, 2646, 7182, 9012, 9522, 6237, 2501, 456], [0, 1, 94, 99, 1644, 2562, 7308, 8886, 9606, 6201, 2510, 455], [0, 1, 95, 90, 1680, 2478, 7434, 8760, 9690, 6165, 2519, 454], [0, 1, 96, 81, 1716, 2394, 7560, 8634, 9774, 6129, 2528, 453], [0, 1, 97, 72, 1752, 2310, 7686, 8508, 9858, 6093, 2537, 452], [0, 1, 98, 63, 1788, 2226, 7812, 8382, 9942, 6057, 2546, 451], [0, 1, 99, 54, 1824, 2142, 7938, 8256, 10026, 6021, 2555, 450], [0, 1, 100, 45, 1860, 2058, 8064, 8130, 10110, 5985, 2564, 449], [0, 1, 101, 36, 1896, 1974, 8190, 8004, 10194, 5949, 2573, 448], [0, 1, 102, 27, 1932, 1890, 8316, 7878, 10278, 5913, 2582, 447], [0, 1, 103, 18, 1968, 1806, 8442, 7752, 10362, 5877, 2591, 446], [0, 1, 104, 9, 2004, 1722, 8568, 7626, 10446, 5841, 2600, 445], [0, 1, 105, 0, 2040, 1638, 8694, 7500, 10530, 5805, 2609, 444], [0, 2, 42, 522, 12, 6300, 1764, 14388, 5958, 7758, 2122, 498], [0, 2, 43, 513, 48, 6216, 1890, 14262, 6042, 7722, 2131, 497], [0, 2, 44, 504, 84, 6132, 2016, 14136, 6126, 7686, 2140, 496], [0, 2, 45, 495, 120, 6048, 2142, 14010, 6210, 7650, 2149, 495], [0, 2, 46, 486, 156, 5964, 2268, 13884, 6294, 7614, 2158, 494], [0, 2, 47, 477, 192, 5880, 2394, 13758, 6378, 7578, 2167, 493], [0, 2, 48, 468, 228, 5796, 2520, 13632, 6462, 7542, 2176, 492], [0, 2, 49, 459, 264, 5712, 2646, 13506, 6546, 7506, 2185, 491], [0, 2, 50, 450, 300, 5628, 2772, 13380, 6630, 7470, 2194, 490], [0, 2, 51, 441, 336, 5544, 2898, 13254, 6714, 7434, 2203, 489], [0, 2, 52, 432, 372, 5460, 3024, 13128, 6798, 7398, 2212, 488], [0, 2, 53, 423, 408, 5376, 3150, 13002, 6882, 7362, 2221, 487], [0, 2, 54, 414, 444, 5292, 3276, 12876, 6966, 7326, 2230, 486], [0, 2, 55, 405, 480, 5208, 3402, 12750, 7050, 7290, 2239, 485], [0, 2, 56, 396, 516, 5124, 3528, 12624, 7134, 7254, 2248, 484], [0, 2, 57, 387, 552, 5040, 3654, 12498, 7218, 7218, 2257, 483], [0, 2, 58, 378, 588, 4956, 3780, 12372, 7302, 7182, 2266, 482], [0, 2, 59, 369, 624, 4872, 3906, 12246, 7386, 7146, 2275, 481], [0, 2, 60, 360, 660, 4788, 4032, 12120, 7470, 7110, 2284, 480], [0, 2, 61, 351, 696, 4704, 4158, 11994, 7554, 7074, 2293, 479], [0, 2, 62, 342, 732, 4620, 4284, 11868, 7638, 7038, 2302, 478], [0, 2, 63, 333, 768, 4536, 4410, 11742, 7722, 7002, 2311, 477], [0, 2, 64, 324, 804, 4452, 4536, 11616, 7806, 6966, 2320, 476], [0, 2, 65, 315, 840, 4368, 4662, 11490, 7890, 6930, 2329, 475], [0, 2, 66, 306, 876, 4284, 4788, 11364, 7974, 6894, 2338, 474], [0, 2, 67, 297, 912, 4200, 4914, 11238, 8058, 6858, 2347, 473], [0, 2, 68, 288, 948, 4116, 5040, 11112, 8142, 6822, 2356, 472], [0, 2, 69, 279, 984, 4032, 5166, 10986, 8226, 6786, 2365, 471], [0, 2, 70, 270, 1020, 3948, 5292, 10860, 8310, 6750, 2374, 470], [0, 2, 71, 261, 1056, 3864, 5418, 10734, 8394, 6714, 2383, 469], [0, 2, 72, 252, 1092, 3780, 5544, 10608, 8478, 6678, 2392, 468], [0, 2, 73, 243, 1128, 3696, 5670, 10482, 8562, 6642, 2401, 467], [0, 2, 74, 234, 1164, 3612, 5796, 10356, 8646, 6606, 2410, 466], [0, 2, 75, 225, 1200, 3528, 5922, 10230, 8730, 6570, 2419, 465], [0, 2, 76, 216, 1236, 3444, 6048, 10104, 8814, 6534, 2428, 464], [0, 2, 77, 207, 1272, 3360, 6174, 9978, 8898, 6498, 2437, 463], [0, 2, 78, 198, 1308, 3276, 6300, 9852, 8982, 6462, 2446, 462], [0, 2, 79, 189, 1344, 3192, 6426, 9726, 9066, 6426, 2455, 461], [0, 2, 80, 180, 1380, 3108, 6552, 9600, 9150, 6390, 2464, 460], [0, 2, 81, 171, 1416, 3024, 6678, 9474, 9234, 6354, 2473, 459], [0, 2, 82, 162, 1452, 2940, 6804, 9348, 9318, 6318, 2482, 458], [0, 2, 83, 153, 1488, 2856, 6930, 9222, 9402, 6282, 2491, 457], [0, 2, 84, 144, 1524, 2772, 7056, 9096, 9486, 6246, 2500, 456], [0, 2, 85, 135, 1560, 2688, 7182, 8970, 9570, 6210, 2509, 455], [0, 2, 86, 126, 1596, 2604, 7308, 8844, 9654, 6174, 2518, 454], [0, 2, 87, 117, 1632, 2520, 7434, 8718, 9738, 6138, 2527, 453], [0, 2, 88, 108, 1668, 2436, 7560, 8592, 9822, 6102, 2536, 452], [0, 2, 89, 99, 1704, 2352, 7686, 8466, 9906, 6066, 2545, 451], [0, 2, 90, 90, 1740, 2268, 7812, 8340, 9990, 6030, 2554, 450], [0, 2, 91, 81, 1776, 2184, 7938, 8214, 10074, 5994, 2563, 449], [0, 2, 92, 72, 1812, 2100, 8064, 8088, 10158, 5958, 2572, 448], [0, 2, 93, 63, 1848, 2016, 8190, 7962, 10242, 5922, 2581, 447], [0, 2, 94, 54, 1884, 1932, 8316, 7836, 10326, 5886, 2590, 446], [0, 2, 95, 45, 1920, 1848, 8442, 7710, 10410, 5850, 2599, 445], [0, 2, 96, 36, 1956, 1764, 8568, 7584, 10494, 5814, 2608, 444], [0, 2, 97, 27, 1992, 1680, 8694, 7458, 10578, 5778, 2617, 443], [0, 2, 98, 18, 2028, 1596, 8820, 7332, 10662, 5742, 2626, 442], [0, 2, 99, 9, 2064, 1512, 8946, 7206, 10746, 5706, 2635, 441], [0, 2, 100, 0, 2100, 1428, 9072, 7080, 10830, 5670, 2644, 440], [0, 3, 35, 540, 0, 6258, 1890, 14220, 6090, 7695, 2139, 496], [0, 3, 36, 531, 36, 6174, 2016, 14094, 6174, 7659, 2148, 495], [0, 3, 37, 522, 72, 6090, 2142, 13968, 6258, 7623, 2157, 494], [0, 3, 38, 513, 108, 6006, 2268, 13842, 6342, 7587, 2166, 493], [0, 3, 39, 504, 144, 5922, 2394, 13716, 6426, 7551, 2175, 492], [0, 3, 40, 495, 180, 5838, 2520, 13590, 6510, 7515, 2184, 491], [0, 3, 41, 486, 216, 5754, 2646, 13464, 6594, 7479, 2193, 490], [0, 3, 42, 477, 252, 5670, 2772, 13338, 6678, 7443, 2202, 489], [0, 3, 43, 468, 288, 5586, 2898, 13212, 6762, 7407, 2211, 488], [0, 3, 44, 459, 324, 5502, 3024, 13086, 6846, 7371, 2220, 487], [0, 3, 45, 450, 360, 5418, 3150, 12960, 6930, 7335, 2229, 486], [0, 3, 46, 441, 396, 5334, 3276, 12834, 7014, 7299, 2238, 485], [0, 3, 47, 432, 432, 5250, 3402, 12708, 7098, 7263, 2247, 484], [0, 3, 48, 423, 468, 5166, 3528, 12582, 7182, 7227, 2256, 483], [0, 3, 49, 414, 504, 5082, 3654, 12456, 7266, 7191, 2265, 482], [0, 3, 50, 405, 540, 4998, 3780, 12330, 7350, 7155, 2274, 481], [0, 3, 51, 396, 576, 4914, 3906, 12204, 7434, 7119, 2283, 480], [0, 3, 52, 387, 612, 4830, 4032, 12078, 7518, 7083, 2292, 479], [0, 3, 53, 378, 648, 4746, 4158, 11952, 7602, 7047, 2301, 478], [0, 3, 54, 369, 684, 4662, 4284, 11826, 7686, 7011, 2310, 477], [0, 3, 55, 360, 720, 4578, 4410, 11700, 7770, 6975, 2319, 476], [0, 3, 56, 351, 756, 4494, 4536, 11574, 7854, 6939, 2328, 475], [0, 3, 57, 342, 792, 4410, 4662, 11448, 7938, 6903, 2337, 474], [0, 3, 58, 333, 828, 4326, 4788, 11322, 8022, 6867, 2346, 473], [0, 3, 59, 324, 864, 4242, 4914, 11196, 8106, 6831, 2355, 472], [0, 3, 60, 315, 900, 4158, 5040, 11070, 8190, 6795, 2364, 471], [0, 3, 61, 306, 936, 4074, 5166, 10944, 8274, 6759, 2373, 470], [0, 3, 62, 297, 972, 3990, 5292, 10818, 8358, 6723, 2382, 469], [0, 3, 63, 288, 1008, 3906, 5418, 10692, 8442, 6687, 2391, 468], [0, 3, 64, 279, 1044, 3822, 5544, 10566, 8526, 6651, 2400, 467], [0, 3, 65, 270, 1080, 3738, 5670, 10440, 8610, 6615, 2409, 466], [0, 3, 66, 261, 1116, 3654, 5796, 10314, 8694, 6579, 2418, 465], [0, 3, 67, 252, 1152, 3570, 5922, 10188, 8778, 6543, 2427, 464], [0, 3, 68, 243, 1188, 3486, 6048, 10062, 8862, 6507, 2436, 463], [0, 3, 69, 234, 1224, 3402, 6174, 9936, 8946, 6471, 2445, 462], [0, 3, 70, 225, 1260, 3318, 6300, 9810, 9030, 6435, 2454, 461], [0, 3, 71, 216, 1296, 3234, 6426, 9684, 9114, 6399, 2463, 460], [0, 3, 72, 207, 1332, 3150, 6552, 9558, 9198, 6363, 2472, 459], [0, 3, 73, 198, 1368, 3066, 6678, 9432, 9282, 6327, 2481, 458], [0, 3, 74, 189, 1404, 2982, 6804, 9306, 9366, 6291, 2490, 457], [0, 3, 75, 180, 1440, 2898, 6930, 9180, 9450, 6255, 2499, 456], [0, 3, 76, 171, 1476, 2814, 7056, 9054, 9534, 6219, 2508, 455], [0, 3, 77, 162, 1512, 2730, 7182, 8928, 9618, 6183, 2517, 454], [0, 3, 78, 153, 1548, 2646, 7308, 8802, 9702, 6147, 2526, 453], [0, 3, 79, 144, 1584, 2562, 7434, 8676, 9786, 6111, 2535, 452], [0, 3, 80, 135, 1620, 2478, 7560, 8550, 9870, 6075, 2544, 451], [0, 3, 81, 126, 1656, 2394, 7686, 8424, 9954, 6039, 2553, 450], [0, 3, 82, 117, 1692, 2310, 7812, 8298, 10038, 6003, 2562, 449], [0, 3, 83, 108, 1728, 2226, 7938, 8172, 10122, 5967, 2571, 448], [0, 3, 84, 99, 1764, 2142, 8064, 8046, 10206, 5931, 2580, 447], [0, 3, 85, 90, 1800, 2058, 8190, 7920, 10290, 5895, 2589, 446], [0, 3, 86, 81, 1836, 1974, 8316, 7794, 10374, 5859, 2598, 445], [0, 3, 87, 72, 1872, 1890, 8442, 7668, 10458, 5823, 2607, 444], [0, 3, 88, 63, 1908, 1806, 8568, 7542, 10542, 5787, 2616, 443], [0, 3, 89, 54, 1944, 1722, 8694, 7416, 10626, 5751, 2625, 442], [0, 3, 90, 45, 1980, 1638, 8820, 7290, 10710, 5715, 2634, 441], [0, 3, 91, 36, 2016, 1554, 8946, 7164, 10794, 5679, 2643, 440], [0, 3, 92, 27, 2052, 1470, 9072, 7038, 10878, 5643, 2652, 439], [0, 3, 93, 18, 2088, 1386, 9198, 6912, 10962, 5607, 2661, 438], [0, 3, 94, 9, 2124, 1302, 9324, 6786, 11046, 5571, 2670, 437], [0, 3, 95, 0, 2160, 1218, 9450, 6660, 11130, 5535, 2679, 436], [0, 4, 29, 549, 24, 6132, 2142, 13926, 6306, 7596, 2165, 493], [0, 4, 30, 540, 60, 6048, 2268, 13800, 6390, 7560, 2174, 492], [0, 4, 31, 531, 96, 5964, 2394, 13674, 6474, 7524, 2183, 491], [0, 4, 32, 522, 132, 5880, 2520, 13548, 6558, 7488, 2192, 490], [0, 4, 33, 513, 168, 5796, 2646, 13422, 6642, 7452, 2201, 489], [0, 4, 34, 504, 204, 5712, 2772, 13296, 6726, 7416, 2210, 488], [0, 4, 35, 495, 240, 5628, 2898, 13170, 6810, 7380, 2219, 487], [0, 4, 36, 486, 276, 5544, 3024, 13044, 6894, 7344, 2228, 486], [0, 4, 37, 477, 312, 5460, 3150, 12918, 6978, 7308, 2237, 485], [0, 4, 38, 468, 348, 5376, 3276, 12792, 7062, 7272, 2246, 484], [0, 4, 39, 459, 384, 5292, 3402, 12666, 7146, 7236, 2255, 483], [0, 4, 40, 450, 420, 5208, 3528, 12540, 7230, 7200, 2264, 482], [0, 4, 41, 441, 456, 5124, 3654, 12414, 7314, 7164, 2273, 481], [0, 4, 42, 432, 492, 5040, 3780, 12288, 7398, 7128, 2282, 480], [0, 4, 43, 423, 528, 4956, 3906, 12162, 7482, 7092, 2291, 479], [0, 4, 44, 414, 564, 4872, 4032, 12036, 7566, 7056, 2300, 478], [0, 4, 45, 405, 600, 4788, 4158, 11910, 7650, 7020, 2309, 477], [0, 4, 46, 396, 636, 4704, 4284, 11784, 7734, 6984, 2318, 476], [0, 4, 47, 387, 672, 4620, 4410, 11658, 7818, 6948, 2327, 475], [0, 4, 48, 378, 708, 4536, 4536, 11532, 7902, 6912, 2336, 474], [0, 4, 49, 369, 744, 4452, 4662, 11406, 7986, 6876, 2345, 473], [0, 4, 50, 360, 780, 4368, 4788, 11280, 8070, 6840, 2354, 472], [0, 4, 51, 351, 816, 4284, 4914, 11154, 8154, 6804, 2363, 471], [0, 4, 52, 342, 852, 4200, 5040, 11028, 8238, 6768, 2372, 470], [0, 4, 53, 333, 888, 4116, 5166, 10902, 8322, 6732, 2381, 469], [0, 4, 54, 324, 924, 4032, 5292, 10776, 8406, 6696, 2390, 468], [0, 4, 55, 315, 960, 3948, 5418, 10650, 8490, 6660, 2399, 467], [0, 4, 56, 306, 996, 3864, 5544, 10524, 8574, 6624, 2408, 466], [0, 4, 57, 297, 1032, 3780, 5670, 10398, 8658, 6588, 2417, 465], [0, 4, 58, 288, 1068, 3696, 5796, 10272, 8742, 6552, 2426, 464], [0, 4, 59, 279, 1104, 3612, 5922, 10146, 8826, 6516, 2435, 463], [0, 4, 60, 270, 1140, 3528, 6048, 10020, 8910, 6480, 2444, 462], [0, 4, 61, 261, 1176, 3444, 6174, 9894, 8994, 6444, 2453, 461], [0, 4, 62, 252, 1212, 3360, 6300, 9768, 9078, 6408, 2462, 460], [0, 4, 63, 243, 1248, 3276, 6426, 9642, 9162, 6372, 2471, 459], [0, 4, 64, 234, 1284, 3192, 6552, 9516, 9246, 6336, 2480, 458], [0, 4, 65, 225, 1320, 3108, 6678, 9390, 9330, 6300, 2489, 457], [0, 4, 66, 216, 1356, 3024, 6804, 9264, 9414, 6264, 2498, 456], [0, 4, 67, 207, 1392, 2940, 6930, 9138, 9498, 6228, 2507, 455], [0, 4, 68, 198, 1428, 2856, 7056, 9012, 9582, 6192, 2516, 454], [0, 4, 69, 189, 1464, 2772, 7182, 8886, 9666, 6156, 2525, 453], [0, 4, 70, 180, 1500, 2688, 7308, 8760, 9750, 6120, 2534, 452], [0, 4, 71, 171, 1536, 2604, 7434, 8634, 9834, 6084, 2543, 451], [0, 4, 72, 162, 1572, 2520, 7560, 8508, 9918, 6048, 2552, 450], [0, 4, 73, 153, 1608, 2436, 7686, 8382, 10002, 6012, 2561, 449], [0, 4, 74, 144, 1644, 2352, 7812, 8256, 10086, 5976, 2570, 448], [0, 4, 75, 135, 1680, 2268, 7938, 8130, 10170, 5940, 2579, 447], [0, 4, 76, 126, 1716, 2184, 8064, 8004, 10254, 5904, 2588, 446], [0, 4, 77, 117, 1752, 2100, 8190, 7878, 10338, 5868, 2597, 445], [0, 4, 78, 108, 1788, 2016, 8316, 7752, 10422, 5832, 2606, 444], [0, 4, 79, 99, 1824, 1932, 8442, 7626, 10506, 5796, 2615, 443], [0, 4, 80, 90, 1860, 1848, 8568, 7500, 10590, 5760, 2624, 442], [0, 4, 81, 81, 1896, 1764, 8694, 7374, 10674, 5724, 2633, 441], [0, 4, 82, 72, 1932, 1680, 8820, 7248, 10758, 5688, 2642, 440], [0, 4, 83, 63, 1968, 1596, 8946, 7122, 10842, 5652, 2651, 439], [0, 4, 84, 54, 2004, 1512, 9072, 6996, 10926, 5616, 2660, 438], [0, 4, 85, 45, 2040, 1428, 9198, 6870, 11010, 5580, 2669, 437], [0, 4, 86, 36, 2076, 1344, 9324, 6744, 11094, 5544, 2678, 436], [0, 4, 87, 27, 2112, 1260, 9450, 6618, 11178, 5508, 2687, 435], [0, 4, 88, 18, 2148, 1176, 9576, 6492, 11262, 5472, 2696, 434], [0, 4, 89, 9, 2184, 1092, 9702, 6366, 11346, 5436, 2705, 433], [0, 4, 90, 0, 2220, 1008, 9828, 6240, 11430, 5400, 2714, 432], [0, 5, 22, 567, 12, 6090, 2268, 13758, 6438, 7533, 2182, 491], [0, 5, 23, 558, 48, 6006, 2394, 13632, 6522, 7497, 2191, 490], [0, 5, 24, 549, 84, 5922, 2520, 13506, 6606, 7461, 2200, 489], [0, 5, 25, 540, 120, 5838, 2646, 13380, 6690, 7425, 2209, 488], [0, 5, 26, 531, 156, 5754, 2772, 13254, 6774, 7389, 2218, 487], [0, 5, 27, 522, 192, 5670, 2898, 13128, 6858, 7353, 2227, 486], [0, 5, 28, 513, 228, 5586, 3024, 13002, 6942, 7317, 2236, 485], [0, 5, 29, 504, 264, 5502, 3150, 12876, 7026, 7281, 2245, 484], [0, 5, 30, 495, 300, 5418, 3276, 12750, 7110, 7245, 2254, 483], [0, 5, 31, 486, 336, 5334, 3402, 12624, 7194, 7209, 2263, 482], [0, 5, 32, 477, 372, 5250, 3528, 12498, 7278, 7173, 2272, 481], [0, 5, 33, 468, 408, 5166, 3654, 12372, 7362, 7137, 2281, 480], [0, 5, 34, 459, 444, 5082, 3780, 12246, 7446, 7101, 2290, 479], [0, 5, 35, 450, 480, 4998, 3906, 12120, 7530, 7065, 2299, 478], [0, 5, 36, 441, 516, 4914, 4032, 11994, 7614, 7029, 2308, 477], [0, 5, 37, 432, 552, 4830, 4158, 11868, 7698, 6993, 2317, 476], [0, 5, 38, 423, 588, 4746, 4284, 11742, 7782, 6957, 2326, 475], [0, 5, 39, 414, 624, 4662, 4410, 11616, 7866, 6921, 2335, 474], [0, 5, 40, 405, 660, 4578, 4536, 11490, 7950, 6885, 2344, 473], [0, 5, 41, 396, 696, 4494, 4662, 11364, 8034, 6849, 2353, 472], [0, 5, 42, 387, 732, 4410, 4788, 11238, 8118, 6813, 2362, 471], [0, 5, 43, 378, 768, 4326, 4914, 11112, 8202, 6777, 2371, 470], [0, 5, 44, 369, 804, 4242, 5040, 10986, 8286, 6741, 2380, 469], [0, 5, 45, 360, 840, 4158, 5166, 10860, 8370, 6705, 2389, 468], [0, 5, 46, 351, 876, 4074, 5292, 10734, 8454, 6669, 2398, 467], [0, 5, 47, 342, 912, 3990, 5418, 10608, 8538, 6633, 2407, 466], [0, 5, 48, 333, 948, 3906, 5544, 10482, 8622, 6597, 2416, 465], [0, 5, 49, 324, 984, 3822, 5670, 10356, 8706, 6561, 2425, 464], [0, 5, 50, 315, 1020, 3738, 5796, 10230, 8790, 6525, 2434, 463], [0, 5, 51, 306, 1056, 3654, 5922, 10104, 8874, 6489, 2443, 462], [0, 5, 52, 297, 1092, 3570, 6048, 9978, 8958, 6453, 2452, 461], [0, 5, 53, 288, 1128, 3486, 6174, 9852, 9042, 6417, 2461, 460], [0, 5, 54, 279, 1164, 3402, 6300, 9726, 9126, 6381, 2470, 459], [0, 5, 55, 270, 1200, 3318, 6426, 9600, 9210, 6345, 2479, 458], [0, 5, 56, 261, 1236, 3234, 6552, 9474, 9294, 6309, 2488, 457], [0, 5, 57, 252, 1272, 3150, 6678, 9348, 9378, 6273, 2497, 456], [0, 5, 58, 243, 1308, 3066, 6804, 9222, 9462, 6237, 2506, 455], [0, 5, 59, 234, 1344, 2982, 6930, 9096, 9546, 6201, 2515, 454], [0, 5, 60, 225, 1380, 2898, 7056, 8970, 9630, 6165, 2524, 453], [0, 5, 61, 216, 1416, 2814, 7182, 8844, 9714, 6129, 2533, 452], [0, 5, 62, 207, 1452, 2730, 7308, 8718, 9798, 6093, 2542, 451], [0, 5, 63, 198, 1488, 2646, 7434, 8592, 9882, 6057, 2551, 450], [0, 5, 64, 189, 1524, 2562, 7560, 8466, 9966, 6021, 2560, 449], [0, 5, 65, 180, 1560, 2478, 7686, 8340, 10050, 5985, 2569, 448], [0, 5, 66, 171, 1596, 2394, 7812, 8214, 10134, 5949, 2578, 447], [0, 5, 67, 162, 1632, 2310, 7938, 8088, 10218, 5913, 2587, 446], [0, 5, 68, 153, 1668, 2226, 8064, 7962, 10302, 5877, 2596, 445], [0, 5, 69, 144, 1704, 2142, 8190, 7836, 10386, 5841, 2605, 444], [0, 5, 70, 135, 1740, 2058, 8316, 7710, 10470, 5805, 2614, 443], [0, 5, 71, 126, 1776, 1974, 8442, 7584, 10554, 5769, 2623, 442], [0, 5, 72, 117, 1812, 1890, 8568, 7458, 10638, 5733, 2632, 441], [0, 5, 73, 108, 1848, 1806, 8694, 7332, 10722, 5697, 2641, 440], [0, 5, 74, 99, 1884, 1722, 8820, 7206, 10806, 5661, 2650, 439], [0, 5, 75, 90, 1920, 1638, 8946, 7080, 10890, 5625, 2659, 438], [0, 5, 76, 81, 1956, 1554, 9072, 6954, 10974, 5589, 2668, 437], [0, 5, 77, 72, 1992, 1470, 9198, 6828, 11058, 5553, 2677, 436], [0, 5, 78, 63, 2028, 1386, 9324, 6702, 11142, 5517, 2686, 435], [0, 5, 79, 54, 2064, 1302, 9450, 6576, 11226, 5481, 2695, 434], [0, 5, 80, 45, 2100, 1218, 9576, 6450, 11310, 5445, 2704, 433], [0, 5, 81, 36, 2136, 1134, 9702, 6324, 11394, 5409, 2713, 432], [0, 5, 82, 27, 2172, 1050, 9828, 6198, 11478, 5373, 2722, 431], [0, 5, 83, 18, 2208, 966, 9954, 6072, 11562, 5337, 2731, 430], [0, 5, 84, 9, 2244, 882, 10080, 5946, 11646, 5301, 2740, 429], [0, 5, 85, 0, 2280, 798, 10206, 5820, 11730, 5265, 2749, 428], [0, 6, 15, 585, 0, 6048, 2394, 13590, 6570, 7470, 2199, 489], [0, 6, 16, 576, 36, 5964, 2520, 13464, 6654, 7434, 2208, 488], [0, 6, 17, 567, 72, 5880, 2646, 13338, 6738, 7398, 2217, 487], [0, 6, 18, 558, 108, 5796, 2772, 13212, 6822, 7362, 2226, 486], [0, 6, 19, 549, 144, 5712, 2898, 13086, 6906, 7326, 2235, 485], [0, 6, 20, 540, 180, 5628, 3024, 12960, 6990, 7290, 2244, 484], [0, 6, 21, 531, 216, 5544, 3150, 12834, 7074, 7254, 2253, 483], [0, 6, 22, 522, 252, 5460, 3276, 12708, 7158, 7218, 2262, 482], [0, 6, 23, 513, 288, 5376, 3402, 12582, 7242, 7182, 2271, 481], [0, 6, 24, 504, 324, 5292, 3528, 12456, 7326, 7146, 2280, 480], [0, 6, 25, 495, 360, 5208, 3654, 12330, 7410, 7110, 2289, 479], [0, 6, 26, 486, 396, 5124, 3780, 12204, 7494, 7074, 2298, 478], [0, 6, 27, 477, 432, 5040, 3906, 12078, 7578, 7038, 2307, 477], [0, 6, 28, 468, 468, 4956, 4032, 11952, 7662, 7002, 2316, 476], [0, 6, 29, 459, 504, 4872, 4158, 11826, 7746, 6966, 2325, 475], [0, 6, 30, 450, 540, 4788, 4284, 11700, 7830, 6930, 2334, 474], [0, 6, 31, 441, 576, 4704, 4410, 11574, 7914, 6894, 2343, 473], [0, 6, 32, 432, 612, 4620, 4536, 11448, 7998, 6858, 2352, 472], [0, 6, 33, 423, 648, 4536, 4662, 11322, 8082, 6822, 2361, 471], [0, 6, 34, 414, 684, 4452, 4788, 11196, 8166, 6786, 2370, 470], [0, 6, 35, 405, 720, 4368, 4914, 11070, 8250, 6750, 2379, 469], [0, 6, 36, 396, 756, 4284, 5040, 10944, 8334, 6714, 2388, 468], [0, 6, 37, 387, 792, 4200, 5166, 10818, 8418, 6678, 2397, 467], [0, 6, 38, 378, 828, 4116, 5292, 10692, 8502, 6642, 2406, 466], [0, 6, 39, 369, 864, 4032, 5418, 10566, 8586, 6606, 2415, 465], [0, 6, 40, 360, 900, 3948, 5544, 10440, 8670, 6570, 2424, 464], [0, 6, 41, 351, 936, 3864, 5670, 10314, 8754, 6534, 2433, 463], [0, 6, 42, 342, 972, 3780, 5796, 10188, 8838, 6498, 2442, 462], [0, 6, 43, 333, 1008, 3696, 5922, 10062, 8922, 6462, 2451, 461], [0, 6, 44, 324, 1044, 3612, 6048, 9936, 9006, 6426, 2460, 460], [0, 6, 45, 315, 1080, 3528, 6174, 9810, 9090, 6390, 2469, 459], [0, 6, 46, 306, 1116, 3444, 6300, 9684, 9174, 6354, 2478, 458], [0, 6, 47, 297, 1152, 3360, 6426, 9558, 9258, 6318, 2487, 457], [0, 6, 48, 288, 1188, 3276, 6552, 9432, 9342, 6282, 2496, 456], [0, 6, 49, 279, 1224, 3192, 6678, 9306, 9426, 6246, 2505, 455], [0, 6, 50, 270, 1260, 3108, 6804, 9180, 9510, 6210, 2514, 454], [0, 6, 51, 261, 1296, 3024, 6930, 9054, 9594, 6174, 2523, 453], [0, 6, 52, 252, 1332, 2940, 7056, 8928, 9678, 6138, 2532, 452], [0, 6, 53, 243, 1368, 2856, 7182, 8802, 9762, 6102, 2541, 451], [0, 6, 54, 234, 1404, 2772, 7308, 8676, 9846, 6066, 2550, 450], [0, 6, 55, 225, 1440, 2688, 7434, 8550, 9930, 6030, 2559, 449], [0, 6, 56, 216, 1476, 2604, 7560, 8424, 10014, 5994, 2568, 448], [0, 6, 57, 207, 1512, 2520, 7686, 8298, 10098, 5958, 2577, 447], [0, 6, 58, 198, 1548, 2436, 7812, 8172, 10182, 5922, 2586, 446], [0, 6, 59, 189, 1584, 2352, 7938, 8046, 10266, 5886, 2595, 445], [0, 6, 60, 180, 1620, 2268, 8064, 7920, 10350, 5850, 2604, 444], [0, 6, 61, 171, 1656, 2184, 8190, 7794, 10434, 5814, 2613, 443], [0, 6, 62, 162, 1692, 2100, 8316, 7668, 10518, 5778, 2622, 442], [0, 6, 63, 153, 1728, 2016, 8442, 7542, 10602, 5742, 2631, 441], [0, 6, 64, 144, 1764, 1932, 8568, 7416, 10686, 5706, 2640, 440], [0, 6, 65, 135, 1800, 1848, 8694, 7290, 10770, 5670, 2649, 439], [0, 6, 66, 126, 1836, 1764, 8820, 7164, 10854, 5634, 2658, 438], [0, 6, 67, 117, 1872, 1680, 8946, 7038, 10938, 5598, 2667, 437], [0, 6, 68, 108, 1908, 1596, 9072, 6912, 11022, 5562, 2676, 436], [0, 6, 69, 99, 1944, 1512, 9198, 6786, 11106, 5526, 2685, 435], [0, 6, 70, 90, 1980, 1428, 9324, 6660, 11190, 5490, 2694, 434], [0, 6, 71, 81, 2016, 1344, 9450, 6534, 11274, 5454, 2703, 433], [0, 6, 72, 72, 2052, 1260, 9576, 6408, 11358, 5418, 2712, 432], [0, 6, 73, 63, 2088, 1176, 9702, 6282, 11442, 5382, 2721, 431], [0, 6, 74, 54, 2124, 1092, 9828, 6156, 11526, 5346, 2730, 430], [0, 6, 75, 45, 2160, 1008, 9954, 6030, 11610, 5310, 2739, 429], [0, 6, 76, 36, 2196, 924, 10080, 5904, 11694, 5274, 2748, 428], [0, 6, 77, 27, 2232, 840, 10206, 5778, 11778, 5238, 2757, 427], [0, 6, 78, 18, 2268, 756, 10332, 5652, 11862, 5202, 2766, 426], [0, 6, 79, 9, 2304, 672, 10458, 5526, 11946, 5166, 2775, 425], [0, 6, 80, 0, 2340, 588, 10584, 5400, 12030, 5130, 2784, 424], [0, 7, 9, 594, 24, 5922, 2646, 13296, 6786, 7371, 2225, 486], [0, 7, 10, 585, 60, 5838, 2772, 13170, 6870, 7335, 2234, 485], [0, 7, 11, 576, 96, 5754, 2898, 13044, 6954, 7299, 2243, 484], [0, 7, 12, 567, 132, 5670, 3024, 12918, 7038, 7263, 2252, 483], [0, 7, 13, 558, 168, 5586, 3150, 12792, 7122, 7227, 2261, 482], [0, 7, 14, 549, 204, 5502, 3276, 12666, 7206, 7191, 2270, 481], [0, 7, 15, 540, 240, 5418, 3402, 12540, 7290, 7155, 2279, 480], [0, 7, 16, 531, 276, 5334, 3528, 12414, 7374, 7119, 2288, 479], [0, 7, 17, 522, 312, 5250, 3654, 12288, 7458, 7083, 2297, 478], [0, 7, 18, 513, 348, 5166, 3780, 12162, 7542, 7047, 2306, 477], [0, 7, 19, 504, 384, 5082, 3906, 12036, 7626, 7011, 2315, 476], [0, 7, 20, 495, 420, 4998, 4032, 11910, 7710, 6975, 2324, 475], [0, 7, 21, 486, 456, 4914, 4158, 11784, 7794, 6939, 2333, 474], [0, 7, 22, 477, 492, 4830, 4284, 11658, 7878, 6903, 2342, 473], [0, 7, 23, 468, 528, 4746, 4410, 11532, 7962, 6867, 2351, 472], [0, 7, 24, 459, 564, 4662, 4536, 11406, 8046, 6831, 2360, 471], [0, 7, 25, 450, 600, 4578, 4662, 11280, 8130, 6795, 2369, 470], [0, 7, 26, 441, 636, 4494, 4788, 11154, 8214, 6759, 2378, 469], [0, 7, 27, 432, 672, 4410, 4914, 11028, 8298, 6723, 2387, 468], [0, 7, 28, 423, 708, 4326, 5040, 10902, 8382, 6687, 2396, 467], [0, 7, 29, 414, 744, 4242, 5166, 10776, 8466, 6651, 2405, 466], [0, 7, 30, 405, 780, 4158, 5292, 10650, 8550, 6615, 2414, 465], [0, 7, 31, 396, 816, 4074, 5418, 10524, 8634, 6579, 2423, 464], [0, 7, 32, 387, 852, 3990, 5544, 10398, 8718, 6543, 2432, 463], [0, 7, 33, 378, 888, 3906, 5670, 10272, 8802, 6507, 2441, 462], [0, 7, 34, 369, 924, 3822, 5796, 10146, 8886, 6471, 2450, 461], [0, 7, 35, 360, 960, 3738, 5922, 10020, 8970, 6435, 2459, 460], [0, 7, 36, 351, 996, 3654, 6048, 9894, 9054, 6399, 2468, 459], [0, 7, 37, 342, 1032, 3570, 6174, 9768, 9138, 6363, 2477, 458], [0, 7, 38, 333, 1068, 3486, 6300, 9642, 9222, 6327, 2486, 457], [0, 7, 39, 324, 1104, 3402, 6426, 9516, 9306, 6291, 2495, 456], [0, 7, 40, 315, 1140, 3318, 6552, 9390, 9390, 6255, 2504, 455], [0, 7, 41, 306, 1176, 3234, 6678, 9264, 9474, 6219, 2513, 454], [0, 7, 42, 297, 1212, 3150, 6804, 9138, 9558, 6183, 2522, 453], [0, 7, 43, 288, 1248, 3066, 6930, 9012, 9642, 6147, 2531, 452], [0, 7, 44, 279, 1284, 2982, 7056, 8886, 9726, 6111, 2540, 451], [0, 7, 45, 270, 1320, 2898, 7182, 8760, 9810, 6075, 2549, 450], [0, 7, 46, 261, 1356, 2814, 7308, 8634, 9894, 6039, 2558, 449], [0, 7, 47, 252, 1392, 2730, 7434, 8508, 9978, 6003, 2567, 448], [0, 7, 48, 243, 1428, 2646, 7560, 8382, 10062, 5967, 2576, 447], [0, 7, 49, 234, 1464, 2562, 7686, 8256, 10146, 5931, 2585, 446], [0, 7, 50, 225, 1500, 2478, 7812, 8130, 10230, 5895, 2594, 445], [0, 7, 51, 216, 1536, 2394, 7938, 8004, 10314, 5859, 2603, 444], [0, 7, 52, 207, 1572, 2310, 8064, 7878, 10398, 5823, 2612, 443], [0, 7, 53, 198, 1608, 2226, 8190, 7752, 10482, 5787, 2621, 442], [0, 7, 54, 189, 1644, 2142, 8316, 7626, 10566, 5751, 2630, 441], [0, 7, 55, 180, 1680, 2058, 8442, 7500, 10650, 5715, 2639, 440], [0, 7, 56, 171, 1716, 1974, 8568, 7374, 10734, 5679, 2648, 439], [0, 7, 57, 162, 1752, 1890, 8694, 7248, 10818, 5643, 2657, 438], [0, 7, 58, 153, 1788, 1806, 8820, 7122, 10902, 5607, 2666, 437], [0, 7, 59, 144, 1824, 1722, 8946, 6996, 10986, 5571, 2675, 436], [0, 7, 60, 135, 1860, 1638, 9072, 6870, 11070, 5535, 2684, 435], [0, 7, 61, 126, 1896, 1554, 9198, 6744, 11154, 5499, 2693, 434], [0, 7, 62, 117, 1932, 1470, 9324, 6618, 11238, 5463, 2702, 433], [0, 7, 63, 108, 1968, 1386, 9450, 6492, 11322, 5427, 2711, 432], [0, 7, 64, 99, 2004, 1302, 9576, 6366, 11406, 5391, 2720, 431], [0, 7, 65, 90, 2040, 1218, 9702, 6240, 11490, 5355, 2729, 430], [0, 7, 66, 81, 2076, 1134, 9828, 6114, 11574, 5319, 2738, 429], [0, 7, 67, 72, 2112, 1050, 9954, 5988, 11658, 5283, 2747, 428], [0, 7, 68, 63, 2148, 966, 10080, 5862, 11742, 5247, 2756, 427], [0, 7, 69, 54, 2184, 882, 10206, 5736, 11826, 5211, 2765, 426], [0, 7, 70, 45, 2220, 798, 10332, 5610, 11910, 5175, 2774, 425], [0, 7, 71, 36, 2256, 714, 10458, 5484, 11994, 5139, 2783, 424], [0, 7, 72, 27, 2292, 630, 10584, 5358, 12078, 5103, 2792, 423], [0, 7, 73, 18, 2328, 546, 10710, 5232, 12162, 5067, 2801, 422], [0, 7, 74, 9, 2364, 462, 10836, 5106, 12246, 5031, 2810, 421], [0, 7, 75, 0, 2400, 378, 10962, 4980, 12330, 4995, 2819, 420], [0, 8, 2, 612, 12, 5880, 2772, 13128, 6918, 7308, 2242, 484], [0, 8, 3, 603, 48, 5796, 2898, 13002, 7002, 7272, 2251, 483], [0, 8, 4, 594, 84, 5712, 3024, 12876, 7086, 7236, 2260, 482], [0, 8, 5, 585, 120, 5628, 3150, 12750, 7170, 7200, 2269, 481], [0, 8, 6, 576, 156, 5544, 3276, 12624, 7254, 7164, 2278, 480], [0, 8, 7, 567, 192, 5460, 3402, 12498, 7338, 7128, 2287, 479], [0, 8, 8, 558, 228, 5376, 3528, 12372, 7422, 7092, 2296, 478], [0, 8, 9, 549, 264, 5292, 3654, 12246, 7506, 7056, 2305, 477], [0, 8, 10, 540, 300, 5208, 3780, 12120, 7590, 7020, 2314, 476], [0, 8, 11, 531, 336, 5124, 3906, 11994, 7674, 6984, 2323, 475], [0, 8, 12, 522, 372, 5040, 4032, 11868, 7758, 6948, 2332, 474], [0, 8, 13, 513, 408, 4956, 4158, 11742, 7842, 6912, 2341, 473], [0, 8, 14, 504, 444, 4872, 4284, 11616, 7926, 6876, 2350, 472], [0, 8, 15, 495, 480, 4788, 4410, 11490, 8010, 6840, 2359, 471], [0, 8, 16, 486, 516, 4704, 4536, 11364, 8094, 6804, 2368, 470], [0, 8, 17, 477, 552, 4620, 4662, 11238, 8178, 6768, 2377, 469], [0, 8, 18, 468, 588, 4536, 4788, 11112, 8262, 6732, 2386, 468], [0, 8, 19, 459, 624, 4452, 4914, 10986, 8346, 6696, 2395, 467], [0, 8, 20, 450, 660, 4368, 5040, 10860, 8430, 6660, 2404, 466], [0, 8, 21, 441, 696, 4284, 5166, 10734, 8514, 6624, 2413, 465], [0, 8, 22, 432, 732, 4200, 5292, 10608, 8598, 6588, 2422, 464], [0, 8, 23, 423, 768, 4116, 5418, 10482, 8682, 6552, 2431, 463], [0, 8, 24, 414, 804, 4032, 5544, 10356, 8766, 6516, 2440, 462], [0, 8, 25, 405, 840, 3948, 5670, 10230, 8850, 6480, 2449, 461], [0, 8, 26, 396, 876, 3864, 5796, 10104, 8934, 6444, 2458, 460], [0, 8, 27, 387, 912, 3780, 5922, 9978, 9018, 6408, 2467, 459], [0, 8, 28, 378, 948, 3696, 6048, 9852, 9102, 6372, 2476, 458], [0, 8, 29, 369, 984, 3612, 6174, 9726, 9186, 6336, 2485, 457], [0, 8, 30, 360, 1020, 3528, 6300, 9600, 9270, 6300, 2494, 456], [0, 8, 31, 351, 1056, 3444, 6426, 9474, 9354, 6264, 2503, 455], [0, 8, 32, 342, 1092, 3360, 6552, 9348, 9438, 6228, 2512, 454], [0, 8, 33, 333, 1128, 3276, 6678, 9222, 9522, 6192, 2521, 453], [0, 8, 34, 324, 1164, 3192, 6804, 9096, 9606, 6156, 2530, 452], [0, 8, 35, 315, 1200, 3108, 6930, 8970, 9690, 6120, 2539, 451], [0, 8, 36, 306, 1236, 3024, 7056, 8844, 9774, 6084, 2548, 450], [0, 8, 37, 297, 1272, 2940, 7182, 8718, 9858, 6048, 2557, 449], [0, 8, 38, 288, 1308, 2856, 7308, 8592, 9942, 6012, 2566, 448], [0, 8, 39, 279, 1344, 2772, 7434, 8466, 10026, 5976, 2575, 447], [0, 8, 40, 270, 1380, 2688, 7560, 8340, 10110, 5940, 2584, 446], [0, 8, 41, 261, 1416, 2604, 7686, 8214, 10194, 5904, 2593, 445], [0, 8, 42, 252, 1452, 2520, 7812, 8088, 10278, 5868, 2602, 444], [0, 8, 43, 243, 1488, 2436, 7938, 7962, 10362, 5832, 2611, 443], [0, 8, 44, 234, 1524, 2352, 8064, 7836, 10446, 5796, 2620, 442], [0, 8, 45, 225, 1560, 2268, 8190, 7710, 10530, 5760, 2629, 441], [0, 8, 46, 216, 1596, 2184, 8316, 7584, 10614, 5724, 2638, 440], [0, 8, 47, 207, 1632, 2100, 8442, 7458, 10698, 5688, 2647, 439], [0, 8, 48, 198, 1668, 2016, 8568, 7332, 10782, 5652, 2656, 438], [0, 8, 49, 189, 1704, 1932, 8694, 7206, 10866, 5616, 2665, 437], [0, 8, 50, 180, 1740, 1848, 8820, 7080, 10950, 5580, 2674, 436], [0, 8, 51, 171, 1776, 1764, 8946, 6954, 11034, 5544, 2683, 435], [0, 8, 52, 162, 1812, 1680, 9072, 6828, 11118, 5508, 2692, 434], [0, 8, 53, 153, 1848, 1596, 9198, 6702, 11202, 5472, 2701, 433], [0, 8, 54, 144, 1884, 1512, 9324, 6576, 11286, 5436, 2710, 432], [0, 8, 55, 135, 1920, 1428, 9450, 6450, 11370, 5400, 2719, 431], [0, 8, 56, 126, 1956, 1344, 9576, 6324, 11454, 5364, 2728, 430], [0, 8, 57, 117, 1992, 1260, 9702, 6198, 11538, 5328, 2737, 429], [0, 8, 58, 108, 2028, 1176, 9828, 6072, 11622, 5292, 2746, 428], [0, 8, 59, 99, 2064, 1092, 9954, 5946, 11706, 5256, 2755, 427], [0, 8, 60, 90, 2100, 1008, 10080, 5820, 11790, 5220, 2764, 426], [0, 8, 61, 81, 2136, 924, 10206, 5694, 11874, 5184, 2773, 425], [0, 8, 62, 72, 2172, 840, 10332, 5568, 11958, 5148, 2782, 424], [0, 8, 63, 63, 2208, 756, 10458, 5442, 12042, 5112, 2791, 423], [0, 8, 64, 54, 2244, 672, 10584, 5316, 12126, 5076, 2800, 422], [0, 8, 65, 45, 2280, 588, 10710, 5190, 12210, 5040, 2809, 421], [0, 8, 66, 36, 2316, 504, 10836, 5064, 12294, 5004, 2818, 420], [0, 8, 67, 27, 2352, 420, 10962, 4938, 12378, 4968, 2827, 419], [0, 8, 68, 18, 2388, 336, 11088, 4812, 12462, 4932, 2836, 418], [0, 8, 69, 9, 2424, 252, 11214, 4686, 12546, 4896, 2845, 417], [0, 8, 70, 0, 2460, 168, 11340, 4560, 12630, 4860, 2854, 416], [0, 9, 0, 585, 180, 5418, 3528, 12330, 7470, 7065, 2304, 477], [0, 9, 1, 576, 216, 5334, 3654, 12204, 7554, 7029, 2313, 476], [0, 9, 2, 567, 252, 5250, 3780, 12078, 7638, 6993, 2322, 475], [0, 9, 3, 558, 288, 5166, 3906, 11952, 7722, 6957, 2331, 474], [0, 9, 4, 549, 324, 5082, 4032, 11826, 7806, 6921, 2340, 473], [0, 9, 5, 540, 360, 4998, 4158, 11700, 7890, 6885, 2349, 472], [0, 9, 6, 531, 396, 4914, 4284, 11574, 7974, 6849, 2358, 471], [0, 9, 7, 522, 432, 4830, 4410, 11448, 8058, 6813, 2367, 470], [0, 9, 8, 513, 468, 4746, 4536, 11322, 8142, 6777, 2376, 469], [0, 9, 9, 504, 504, 4662, 4662, 11196, 8226, 6741, 2385, 468], [0, 9, 10, 495, 540, 4578, 4788, 11070, 8310, 6705, 2394, 467], [0, 9, 11, 486, 576, 4494, 4914, 10944, 8394, 6669, 2403, 466], [0, 9, 12, 477, 612, 4410, 5040, 10818, 8478, 6633, 2412, 465], [0, 9, 13, 468, 648, 4326, 5166, 10692, 8562, 6597, 2421, 464], [0, 9, 14, 459, 684, 4242, 5292, 10566, 8646, 6561, 2430, 463], [0, 9, 15, 450, 720, 4158, 5418, 10440, 8730, 6525, 2439, 462], [0, 9, 16, 441, 756, 4074, 5544, 10314, 8814, 6489, 2448, 461], [0, 9, 17, 432, 792, 3990, 5670, 10188, 8898, 6453, 2457, 460], [0, 9, 18, 423, 828, 3906, 5796, 10062, 8982, 6417, 2466, 459], [0, 9, 19, 414, 864, 3822, 5922, 9936, 9066, 6381, 2475, 458], [0, 9, 20, 405, 900, 3738, 6048, 9810, 9150, 6345, 2484, 457], [0, 9, 21, 396, 936, 3654, 6174, 9684, 9234, 6309, 2493, 456], [0, 9, 22, 387, 972, 3570, 6300, 9558, 9318, 6273, 2502, 455], [0, 9, 23, 378, 1008, 3486, 6426, 9432, 9402, 6237, 2511, 454], [0, 9, 24, 369, 1044, 3402, 6552, 9306, 9486, 6201, 2520, 453], [0, 9, 25, 360, 1080, 3318, 6678, 9180, 9570, 6165, 2529, 452], [0, 9, 26, 351, 1116, 3234, 6804, 9054, 9654, 6129, 2538, 451], [0, 9, 27, 342, 1152, 3150, 6930, 8928, 9738, 6093, 2547, 450], [0, 9, 28, 333, 1188, 3066, 7056, 8802, 9822, 6057, 2556, 449], [0, 9, 29, 324, 1224, 2982, 7182, 8676, 9906, 6021, 2565, 448], [0, 9, 30, 315, 1260, 2898, 7308, 8550, 9990, 5985, 2574, 447], [0, 9, 31, 306, 1296, 2814, 7434, 8424, 10074, 5949, 2583, 446], [0, 9, 32, 297, 1332, 2730, 7560, 8298, 10158, 5913, 2592, 445], [0, 9, 33, 288, 1368, 2646, 7686, 8172, 10242, 5877, 2601, 444], [0, 9, 34, 279, 1404, 2562, 7812, 8046, 10326, 5841, 2610, 443], [0, 9, 35, 270, 1440, 2478, 7938, 7920, 10410, 5805, 2619, 442], [0, 9, 36, 261, 1476, 2394, 8064, 7794, 10494, 5769, 2628, 441], [0, 9, 37, 252, 1512, 2310, 8190, 7668, 10578, 5733, 2637, 440], [0, 9, 38, 243, 1548, 2226, 8316, 7542, 10662, 5697, 2646, 439], [0, 9, 39, 234, 1584, 2142, 8442, 7416, 10746, 5661, 2655, 438], [0, 9, 40, 225, 1620, 2058, 8568, 7290, 10830, 5625, 2664, 437], [0, 9, 41, 216, 1656, 1974, 8694, 7164, 10914, 5589, 2673, 436], [0, 9, 42, 207, 1692, 1890, 8820, 7038, 10998, 5553, 2682, 435], [0, 9, 43, 198, 1728, 1806, 8946, 6912, 11082, 5517, 2691, 434], [0, 9, 44, 189, 1764, 1722, 9072, 6786, 11166, 5481, 2700, 433], [0, 9, 45, 180, 1800, 1638, 9198, 6660, 11250, 5445, 2709, 432], [0, 9, 46, 171, 1836, 1554, 9324, 6534, 11334, 5409, 2718, 431], [0, 9, 47, 162, 1872, 1470, 9450, 6408, 11418, 5373, 2727, 430], [0, 9, 48, 153, 1908, 1386, 9576, 6282, 11502, 5337, 2736, 429], [0, 9, 49, 144, 1944, 1302, 9702, 6156, 11586, 5301, 2745, 428], [0, 9, 50, 135, 1980, 1218, 9828, 6030, 11670, 5265, 2754, 427], [0, 9, 51, 126, 2016, 1134, 9954, 5904, 11754, 5229, 2763, 426], [0, 9, 52, 117, 2052, 1050, 10080, 5778, 11838, 5193, 2772, 425], [0, 9, 53, 108, 2088, 966, 10206, 5652, 11922, 5157, 2781, 424], [0, 9, 54, 99, 2124, 882, 10332, 5526, 12006, 5121, 2790, 423], [0, 9, 55, 90, 2160, 798, 10458, 5400, 12090, 5085, 2799, 422], [0, 9, 56, 81, 2196, 714, 10584, 5274, 12174, 5049, 2808, 421], [0, 9, 57, 72, 2232, 630, 10710, 5148, 12258, 5013, 2817, 420], [0, 9, 58, 63, 2268, 546, 10836, 5022, 12342, 4977, 2826, 419], [0, 9, 59, 54, 2304, 462, 10962, 4896, 12426, 4941, 2835, 418], [0, 9, 60, 45, 2340, 378, 11088, 4770, 12510, 4905, 2844, 417], [0, 9, 61, 36, 2376, 294, 11214, 4644, 12594, 4869, 2853, 416], [0, 9, 62, 27, 2412, 210, 11340, 4518, 12678, 4833, 2862, 415], [0, 9, 63, 18, 2448, 126, 11466, 4392, 12762, 4797, 2871, 414], [0, 9, 64, 9, 2484, 42, 11592, 4266, 12846, 4761, 2880, 413], [0, 10, 0, 540, 420, 4788, 4536, 11280, 8190, 6750, 2384, 468], [0, 10, 1, 531, 456, 4704, 4662, 11154, 8274, 6714, 2393, 467], [0, 10, 2, 522, 492, 4620, 4788, 11028, 8358, 6678, 2402, 466], [0, 10, 3, 513, 528, 4536, 4914, 10902, 8442, 6642, 2411, 465], [0, 10, 4, 504, 564, 4452, 5040, 10776, 8526, 6606, 2420, 464], [0, 10, 5, 495, 600, 4368, 5166, 10650, 8610, 6570, 2429, 463], [0, 10, 6, 486, 636, 4284, 5292, 10524, 8694, 6534, 2438, 462], [0, 10, 7, 477, 672, 4200, 5418, 10398, 8778, 6498, 2447, 461], [0, 10, 8, 468, 708, 4116, 5544, 10272, 8862, 6462, 2456, 460], [0, 10, 9, 459, 744, 4032, 5670, 10146, 8946, 6426, 2465, 459], [0, 10, 10, 450, 780, 3948, 5796, 10020, 9030, 6390, 2474, 458], [0, 10, 11, 441, 816, 3864, 5922, 9894, 9114, 6354, 2483, 457], [0, 10, 12, 432, 852, 3780, 6048, 9768, 9198, 6318, 2492, 456], [0, 10, 13, 423, 888, 3696, 6174, 9642, 9282, 6282, 2501, 455], [0, 10, 14, 414, 924, 3612, 6300, 9516, 9366, 6246, 2510, 454], [0, 10, 15, 405, 960, 3528, 6426, 9390, 9450, 6210, 2519, 453], [0, 10, 16, 396, 996, 3444, 6552, 9264, 9534, 6174, 2528, 452], [0, 10, 17, 387, 1032, 3360, 6678, 9138, 9618, 6138, 2537, 451], [0, 10, 18, 378, 1068, 3276, 6804, 9012, 9702, 6102, 2546, 450], [0, 10, 19, 369, 1104, 3192, 6930, 8886, 9786, 6066, 2555, 449], [0, 10, 20, 360, 1140, 3108, 7056, 8760, 9870, 6030, 2564, 448], [0, 10, 21, 351, 1176, 3024, 7182, 8634, 9954, 5994, 2573, 447], [0, 10, 22, 342, 1212, 2940, 7308, 8508, 10038, 5958, 2582, 446], [0, 10, 23, 333, 1248, 2856, 7434, 8382, 10122, 5922, 2591, 445], [0, 10, 24, 324, 1284, 2772, 7560, 8256, 10206, 5886, 2600, 444], [0, 10, 25, 315, 1320, 2688, 7686, 8130, 10290, 5850, 2609, 443], [0, 10, 26, 306, 1356, 2604, 7812, 8004, 10374, 5814, 2618, 442], [0, 10, 27, 297, 1392, 2520, 7938, 7878, 10458, 5778, 2627, 441], [0, 10, 28, 288, 1428, 2436, 8064, 7752, 10542, 5742, 2636, 440], [0, 10, 29, 279, 1464, 2352, 8190, 7626, 10626, 5706, 2645, 439], [0, 10, 30, 270, 1500, 2268, 8316, 7500, 10710, 5670, 2654, 438], [0, 10, 31, 261, 1536, 2184, 8442, 7374, 10794, 5634, 2663, 437], [0, 10, 32, 252, 1572, 2100, 8568, 7248, 10878, 5598, 2672, 436], [0, 10, 33, 243, 1608, 2016, 8694, 7122, 10962, 5562, 2681, 435], [0, 10, 34, 234, 1644, 1932, 8820, 6996, 11046, 5526, 2690, 434], [0, 10, 35, 225, 1680, 1848, 8946, 6870, 11130, 5490, 2699, 433], [0, 10, 36, 216, 1716, 1764, 9072, 6744, 11214, 5454, 2708, 432], [0, 10, 37, 207, 1752, 1680, 9198, 6618, 11298, 5418, 2717, 431], [0, 10, 38, 198, 1788, 1596, 9324, 6492, 11382, 5382, 2726, 430], [0, 10, 39, 189, 1824, 1512, 9450, 6366, 11466, 5346, 2735, 429], [0, 10, 40, 180, 1860, 1428, 9576, 6240, 11550, 5310, 2744, 428], [0, 10, 41, 171, 1896, 1344, 9702, 6114, 11634, 5274, 2753, 427], [0, 10, 42, 162, 1932, 1260, 9828, 5988, 11718, 5238, 2762, 426], [0, 10, 43, 153, 1968, 1176, 9954, 5862, 11802, 5202, 2771, 425], [0, 10, 44, 144, 2004, 1092, 10080, 5736, 11886, 5166, 2780, 424], [0, 10, 45, 135, 2040, 1008, 10206, 5610, 11970, 5130, 2789, 423], [0, 10, 46, 126, 2076, 924, 10332, 5484, 12054, 5094, 2798, 422], [0, 10, 47, 117, 2112, 840, 10458, 5358, 12138, 5058, 2807, 421], [0, 10, 48, 108, 2148, 756, 10584, 5232, 12222, 5022, 2816, 420], [0, 10, 49, 99, 2184, 672, 10710, 5106, 12306, 4986, 2825, 419], [0, 10, 50, 90, 2220, 588, 10836, 4980, 12390, 4950, 2834, 418], [0, 10, 51, 81, 2256, 504, 10962, 4854, 12474, 4914, 2843, 417], [0, 10, 52, 72, 2292, 420, 11088, 4728, 12558, 4878, 2852, 416], [0, 10, 53, 63, 2328, 336, 11214, 4602, 12642, 4842, 2861, 415], [0, 10, 54, 54, 2364, 252, 11340, 4476, 12726, 4806, 2870, 414], [0, 10, 55, 45, 2400, 168, 11466, 4350, 12810, 4770, 2879, 413], [0, 10, 56, 36, 2436, 84, 11592, 4224, 12894, 4734, 2888, 412], [0, 10, 57, 27, 2472, 0, 11718, 4098, 12978, 4698, 2897, 411], [0, 11, 0, 495, 660, 4158, 5544, 10230, 8910, 6435, 2464, 459], [0, 11, 1, 486, 696, 4074, 5670, 10104, 8994, 6399, 2473, 458], [0, 11, 2, 477, 732, 3990, 5796, 9978, 9078, 6363, 2482, 457], [0, 11, 3, 468, 768, 3906, 5922, 9852, 9162, 6327, 2491, 456], [0, 11, 4, 459, 804, 3822, 6048, 9726, 9246, 6291, 2500, 455], [0, 11, 5, 450, 840, 3738, 6174, 9600, 9330, 6255, 2509, 454], [0, 11, 6, 441, 876, 3654, 6300, 9474, 9414, 6219, 2518, 453], [0, 11, 7, 432, 912, 3570, 6426, 9348, 9498, 6183, 2527, 452], [0, 11, 8, 423, 948, 3486, 6552, 9222, 9582, 6147, 2536, 451], [0, 11, 9, 414, 984, 3402, 6678, 9096, 9666, 6111, 2545, 450], [0, 11, 10, 405, 1020, 3318, 6804, 8970, 9750, 6075, 2554, 449], [0, 11, 11, 396, 1056, 3234, 6930, 8844, 9834, 6039, 2563, 448], [0, 11, 12, 387, 1092, 3150, 7056, 8718, 9918, 6003, 2572, 447], [0, 11, 13, 378, 1128, 3066, 7182, 8592, 10002, 5967, 2581, 446], [0, 11, 14, 369, 1164, 2982, 7308, 8466, 10086, 5931, 2590, 445], [0, 11, 15, 360, 1200, 2898, 7434, 8340, 10170, 5895, 2599, 444], [0, 11, 16, 351, 1236, 2814, 7560, 8214, 10254, 5859, 2608, 443], [0, 11, 17, 342, 1272, 2730, 7686, 8088, 10338, 5823, 2617, 442], [0, 11, 18, 333, 1308, 2646, 7812, 7962, 10422, 5787, 2626, 441], [0, 11, 19, 324, 1344, 2562, 7938, 7836, 10506, 5751, 2635, 440], [0, 11, 20, 315, 1380, 2478, 8064, 7710, 10590, 5715, 2644, 439], [0, 11, 21, 306, 1416, 2394, 8190, 7584, 10674, 5679, 2653, 438], [0, 11, 22, 297, 1452, 2310, 8316, 7458, 10758, 5643, 2662, 437], [0, 11, 23, 288, 1488, 2226, 8442, 7332, 10842, 5607, 2671, 436], [0, 11, 24, 279, 1524, 2142, 8568, 7206, 10926, 5571, 2680, 435], [0, 11, 25, 270, 1560, 2058, 8694, 7080, 11010, 5535, 2689, 434], [0, 11, 26, 261, 1596, 1974, 8820, 6954, 11094, 5499, 2698, 433], [0, 11, 27, 252, 1632, 1890, 8946, 6828, 11178, 5463, 2707, 432], [0, 11, 28, 243, 1668, 1806, 9072, 6702, 11262, 5427, 2716, 431], [0, 11, 29, 234, 1704, 1722, 9198, 6576, 11346, 5391, 2725, 430], [0, 11, 30, 225, 1740, 1638, 9324, 6450, 11430, 5355, 2734, 429], [0, 11, 31, 216, 1776, 1554, 9450, 6324, 11514, 5319, 2743, 428], [0, 11, 32, 207, 1812, 1470, 9576, 6198, 11598, 5283, 2752, 427], [0, 11, 33, 198, 1848, 1386, 9702, 6072, 11682, 5247, 2761, 426], [0, 11, 34, 189, 1884, 1302, 9828, 5946, 11766, 5211, 2770, 425], [0, 11, 35, 180, 1920, 1218, 9954, 5820, 11850, 5175, 2779, 424], [0, 11, 36, 171, 1956, 1134, 10080, 5694, 11934, 5139, 2788, 423], [0, 11, 37, 162, 1992, 1050, 10206, 5568, 12018, 5103, 2797, 422], [0, 11, 38, 153, 2028, 966, 10332, 5442, 12102, 5067, 2806, 421], [0, 11, 39, 144, 2064, 882, 10458, 5316, 12186, 5031, 2815, 420], [0, 11, 40, 135, 2100, 798, 10584, 5190, 12270, 4995, 2824, 419], [0, 11, 41, 126, 2136, 714, 10710, 5064, 12354, 4959, 2833, 418], [0, 11, 42, 117, 2172, 630, 10836, 4938, 12438, 4923, 2842, 417], [0, 11, 43, 108, 2208, 546, 10962, 4812, 12522, 4887, 2851, 416], [0, 11, 44, 99, 2244, 462, 11088, 4686, 12606, 4851, 2860, 415], [0, 11, 45, 90, 2280, 378, 11214, 4560, 12690, 4815, 2869, 414], [0, 11, 46, 81, 2316, 294, 11340, 4434, 12774, 4779, 2878, 413], [0, 11, 47, 72, 2352, 210, 11466, 4308, 12858, 4743, 2887, 412], [0, 11, 48, 63, 2388, 126, 11592, 4182, 12942, 4707, 2896, 411], [0, 11, 49, 54, 2424, 42, 11718, 4056, 13026, 4671, 2905, 410], [0, 12, 0, 450, 900, 3528, 6552, 9180, 9630, 6120, 2544, 450], [0, 12, 1, 441, 936, 3444, 6678, 9054, 9714, 6084, 2553, 449], [0, 12, 2, 432, 972, 3360, 6804, 8928, 9798, 6048, 2562, 448], [0, 12, 3, 423, 1008, 3276, 6930, 8802, 9882, 6012, 2571, 447], [0, 12, 4, 414, 1044, 3192, 7056, 8676, 9966, 5976, 2580, 446], [0, 12, 5, 405, 1080, 3108, 7182, 8550, 10050, 5940, 2589, 445], [0, 12, 6, 396, 1116, 3024, 7308, 8424, 10134, 5904, 2598, 444], [0, 12, 7, 387, 1152, 2940, 7434, 8298, 10218, 5868, 2607, 443], [0, 12, 8, 378, 1188, 2856, 7560, 8172, 10302, 5832, 2616, 442], [0, 12, 9, 369, 1224, 2772, 7686, 8046, 10386, 5796, 2625, 441], [0, 12, 10, 360, 1260, 2688, 7812, 7920, 10470, 5760, 2634, 440], [0, 12, 11, 351, 1296, 2604, 7938, 7794, 10554, 5724, 2643, 439], [0, 12, 12, 342, 1332, 2520, 8064, 7668, 10638, 5688, 2652, 438], [0, 12, 13, 333, 1368, 2436, 8190, 7542, 10722, 5652, 2661, 437], [0, 12, 14, 324, 1404, 2352, 8316, 7416, 10806, 5616, 2670, 436], [0, 12, 15, 315, 1440, 2268, 8442, 7290, 10890, 5580, 2679, 435], [0, 12, 16, 306, 1476, 2184, 8568, 7164, 10974, 5544, 2688, 434], [0, 12, 17, 297, 1512, 2100, 8694, 7038, 11058, 5508, 2697, 433], [0, 12, 18, 288, 1548, 2016, 8820, 6912, 11142, 5472, 2706, 432], [0, 12, 19, 279, 1584, 1932, 8946, 6786, 11226, 5436, 2715, 431], [0, 12, 20, 270, 1620, 1848, 9072, 6660, 11310, 5400, 2724, 430], [0, 12, 21, 261, 1656, 1764, 9198, 6534, 11394, 5364, 2733, 429], [0, 12, 22, 252, 1692, 1680, 9324, 6408, 11478, 5328, 2742, 428], [0, 12, 23, 243, 1728, 1596, 9450, 6282, 11562, 5292, 2751, 427], [0, 12, 24, 234, 1764, 1512, 9576, 6156, 11646, 5256, 2760, 426], [0, 12, 25, 225, 1800, 1428, 9702, 6030, 11730, 5220, 2769, 425], [0, 12, 26, 216, 1836, 1344, 9828, 5904, 11814, 5184, 2778, 424], [0, 12, 27, 207, 1872, 1260, 9954, 5778, 11898, 5148, 2787, 423], [0, 12, 28, 198, 1908, 1176, 10080, 5652, 11982, 5112, 2796, 422], [0, 12, 29, 189, 1944, 1092, 10206, 5526, 12066, 5076, 2805, 421], [0, 12, 30, 180, 1980, 1008, 10332, 5400, 12150, 5040, 2814, 420], [0, 12, 31, 171, 2016, 924, 10458, 5274, 12234, 5004, 2823, 419], [0, 12, 32, 162, 2052, 840, 10584, 5148, 12318, 4968, 2832, 418], [0, 12, 33, 153, 2088, 756, 10710, 5022, 12402, 4932, 2841, 417], [0, 12, 34, 144, 2124, 672, 10836, 4896, 12486, 4896, 2850, 416], [0, 12, 35, 135, 2160, 588, 10962, 4770, 12570, 4860, 2859, 415], [0, 12, 36, 126, 2196, 504, 11088, 4644, 12654, 4824, 2868, 414], [0, 12, 37, 117, 2232, 420, 11214, 4518, 12738, 4788, 2877, 413], [0, 12, 38, 108, 2268, 336, 11340, 4392, 12822, 4752, 2886, 412], [0, 12, 39, 99, 2304, 252, 11466, 4266, 12906, 4716, 2895, 411], [0, 12, 40, 90, 2340, 168, 11592, 4140, 12990, 4680, 2904, 410], [0, 12, 41, 81, 2376, 84, 11718, 4014, 13074, 4644, 2913, 409], [0, 12, 42, 72, 2412, 0, 11844, 3888, 13158, 4608, 2922, 408], [0, 13, 0, 405, 1140, 2898, 7560, 8130, 10350, 5805, 2624, 441], [0, 13, 1, 396, 1176, 2814, 7686, 8004, 10434, 5769, 2633, 440], [0, 13, 2, 387, 1212, 2730, 7812, 7878, 10518, 5733, 2642, 439], [0, 13, 3, 378, 1248, 2646, 7938, 7752, 10602, 5697, 2651, 438], [0, 13, 4, 369, 1284, 2562, 8064, 7626, 10686, 5661, 2660, 437], [0, 13, 5, 360, 1320, 2478, 8190, 7500, 10770, 5625, 2669, 436], [0, 13, 6, 351, 1356, 2394, 8316, 7374, 10854, 5589, 2678, 435], [0, 13, 7, 342, 1392, 2310, 8442, 7248, 10938, 5553, 2687, 434], [0, 13, 8, 333, 1428, 2226, 8568, 7122, 11022, 5517, 2696, 433], [0, 13, 9, 324, 1464, 2142, 8694, 6996, 11106, 5481, 2705, 432], [0, 13, 10, 315, 1500, 2058, 8820, 6870, 11190, 5445, 2714, 431], [0, 13, 11, 306, 1536, 1974, 8946, 6744, 11274, 5409, 2723, 430], [0, 13, 12, 297, 1572, 1890, 9072, 6618, 11358, 5373, 2732, 429], [0, 13, 13, 288, 1608, 1806, 9198, 6492, 11442, 5337, 2741, 428], [0, 13, 14, 279, 1644, 1722, 9324, 6366, 11526, 5301, 2750, 427], [0, 13, 15, 270, 1680, 1638, 9450, 6240, 11610, 5265, 2759, 426], [0, 13, 16, 261, 1716, 1554, 9576, 6114, 11694, 5229, 2768, 425], [0, 13, 17, 252, 1752, 1470, 9702, 5988, 11778, 5193, 2777, 424], [0, 13, 18, 243, 1788, 1386, 9828, 5862, 11862, 5157, 2786, 423], [0, 13, 19, 234, 1824, 1302, 9954, 5736, 11946, 5121, 2795, 422], [0, 13, 20, 225, 1860, 1218, 10080, 5610, 12030, 5085, 2804, 421], [0, 13, 21, 216, 1896, 1134, 10206, 5484, 12114, 5049, 2813, 420], [0, 13, 22, 207, 1932, 1050, 10332, 5358, 12198, 5013, 2822, 419], [0, 13, 23, 198, 1968, 966, 10458, 5232, 12282, 4977, 2831, 418], [0, 13, 24, 189, 2004, 882, 10584, 5106, 12366, 4941, 2840, 417], [0, 13, 25, 180, 2040, 798, 10710, 4980, 12450, 4905, 2849, 416], [0, 13, 26, 171, 2076, 714, 10836, 4854, 12534, 4869, 2858, 415], [0, 13, 27, 162, 2112, 630, 10962, 4728, 12618, 4833, 2867, 414], [0, 13, 28, 153, 2148, 546, 11088, 4602, 12702, 4797, 2876, 413], [0, 13, 29, 144, 2184, 462, 11214, 4476, 12786, 4761, 2885, 412], [0, 13, 30, 135, 2220, 378, 11340, 4350, 12870, 4725, 2894, 411], [0, 13, 31, 126, 2256, 294, 11466, 4224, 12954, 4689, 2903, 410], [0, 13, 32, 117, 2292, 210, 11592, 4098, 13038, 4653, 2912, 409], [0, 13, 33, 108, 2328, 126, 11718, 3972, 13122, 4617, 2921, 408], [0, 13, 34, 99, 2364, 42, 11844, 3846, 13206, 4581, 2930, 407], [0, 14, 0, 360, 1380, 2268, 8568, 7080, 11070, 5490, 2704, 432], [0, 14, 1, 351, 1416, 2184, 8694, 6954, 11154, 5454, 2713, 431], [0, 14, 2, 342, 1452, 2100, 8820, 6828, 11238, 5418, 2722, 430], [0, 14, 3, 333, 1488, 2016, 8946, 6702, 11322, 5382, 2731, 429], [0, 14, 4, 324, 1524, 1932, 9072, 6576, 11406, 5346, 2740, 428], [0, 14, 5, 315, 1560, 1848, 9198, 6450, 11490, 5310, 2749, 427], [0, 14, 6, 306, 1596, 1764, 9324, 6324, 11574, 5274, 2758, 426], [0, 14, 7, 297, 1632, 1680, 9450, 6198, 11658, 5238, 2767, 425], [0, 14, 8, 288, 1668, 1596, 9576, 6072, 11742, 5202, 2776, 424], [0, 14, 9, 279, 1704, 1512, 9702, 5946, 11826, 5166, 2785, 423], [0, 14, 10, 270, 1740, 1428, 9828, 5820, 11910, 5130, 2794, 422], [0, 14, 11, 261, 1776, 1344, 9954, 5694, 11994, 5094, 2803, 421], [0, 14, 12, 252, 1812, 1260, 10080, 5568, 12078, 5058, 2812, 420], [0, 14, 13, 243, 1848, 1176, 10206, 5442, 12162, 5022, 2821, 419], [0, 14, 14, 234, 1884, 1092, 10332, 5316, 12246, 4986, 2830, 418], [0, 14, 15, 225, 1920, 1008, 10458, 5190, 12330, 4950, 2839, 417], [0, 14, 16, 216, 1956, 924, 10584, 5064, 12414, 4914, 2848, 416], [0, 14, 17, 207, 1992, 840, 10710, 4938, 12498, 4878, 2857, 415], [0, 14, 18, 198, 2028, 756, 10836, 4812, 12582, 4842, 2866, 414], [0, 14, 19, 189, 2064, 672, 10962, 4686, 12666, 4806, 2875, 413], [0, 14, 20, 180, 2100, 588, 11088, 4560, 12750, 4770, 2884, 412], [0, 14, 21, 171, 2136, 504, 11214, 4434, 12834, 4734, 2893, 411], [0, 14, 22, 162, 2172, 420, 11340, 4308, 12918, 4698, 2902, 410], [0, 14, 23, 153, 2208, 336, 11466, 4182, 13002, 4662, 2911, 409], [0, 14, 24, 144, 2244, 252, 11592, 4056, 13086, 4626, 2920, 408], [0, 14, 25, 135, 2280, 168, 11718, 3930, 13170, 4590, 2929, 407], [0, 14, 26, 126, 2316, 84, 11844, 3804, 13254, 4554, 2938, 406], [0, 14, 27, 117, 2352, 0, 11970, 3678, 13338, 4518, 2947, 405], [0, 15, 0, 315, 1620, 1638, 9576, 6030, 11790, 5175, 2784, 423], [0, 15, 1, 306, 1656, 1554, 9702, 5904, 11874, 5139, 2793, 422], [0, 15, 2, 297, 1692, 1470, 9828, 5778, 11958, 5103, 2802, 421], [0, 15, 3, 288, 1728, 1386, 9954, 5652, 12042, 5067, 2811, 420], [0, 15, 4, 279, 1764, 1302, 10080, 5526, 12126, 5031, 2820, 419], [0, 15, 5, 270, 1800, 1218, 10206, 5400, 12210, 4995, 2829, 418], [0, 15, 6, 261, 1836, 1134, 10332, 5274, 12294, 4959, 2838, 417], [0, 15, 7, 252, 1872, 1050, 10458, 5148, 12378, 4923, 2847, 416], [0, 15, 8, 243, 1908, 966, 10584, 5022, 12462, 4887, 2856, 415], [0, 15, 9, 234, 1944, 882, 10710, 4896, 12546, 4851, 2865, 414], [0, 15, 10, 225, 1980, 798, 10836, 4770, 12630, 4815, 2874, 413], [0, 15, 11, 216, 2016, 714, 10962, 4644, 12714, 4779, 2883, 412], [0, 15, 12, 207, 2052, 630, 11088, 4518, 12798, 4743, 2892, 411], [0, 15, 13, 198, 2088, 546, 11214, 4392, 12882, 4707, 2901, 410], [0, 15, 14, 189, 2124, 462, 11340, 4266, 12966, 4671, 2910, 409], [0, 15, 15, 180, 2160, 378, 11466, 4140, 13050, 4635, 2919, 408], [0, 15, 16, 171, 2196, 294, 11592, 4014, 13134, 4599, 2928, 407], [0, 15, 17, 162, 2232, 210, 11718, 3888, 13218, 4563, 2937, 406], [0, 15, 18, 153, 2268, 126, 11844, 3762, 13302, 4527, 2946, 405], [0, 15, 19, 144, 2304, 42, 11970, 3636, 13386, 4491, 2955, 404], [0, 16, 0, 270, 1860, 1008, 10584, 4980, 12510, 4860, 2864, 414], [0, 16, 1, 261, 1896, 924, 10710, 4854, 12594, 4824, 2873, 413], [0, 16, 2, 252, 1932, 840, 10836, 4728, 12678, 4788, 2882, 412], [0, 16, 3, 243, 1968, 756, 10962, 4602, 12762, 4752, 2891, 411], [0, 16, 4, 234, 2004, 672, 11088, 4476, 12846, 4716, 2900, 410], [0, 16, 5, 225, 2040, 588, 11214, 4350, 12930, 4680, 2909, 409], [0, 16, 6, 216, 2076, 504, 11340, 4224, 13014, 4644, 2918, 408], [0, 16, 7, 207, 2112, 420, 11466, 4098, 13098, 4608, 2927, 407], [0, 16, 8, 198, 2148, 336, 11592, 3972, 13182, 4572, 2936, 406], [0, 16, 9, 189, 2184, 252, 11718, 3846, 13266, 4536, 2945, 405], [0, 16, 10, 180, 2220, 168, 11844, 3720, 13350, 4500, 2954, 404], [0, 16, 11, 171, 2256, 84, 11970, 3594, 13434, 4464, 2963, 403], [0, 16, 12, 162, 2292, 0, 12096, 3468, 13518, 4428, 2972, 402], [0, 17, 0, 225, 2100, 378, 11592, 3930, 13230, 4545, 2944, 405], [0, 17, 1, 216, 2136, 294, 11718, 3804, 13314, 4509, 2953, 404], [0, 17, 2, 207, 2172, 210, 11844, 3678, 13398, 4473, 2962, 403], [0, 17, 3, 198, 2208, 126, 11970, 3552, 13482, 4437, 2971, 402], [0, 17, 4, 189, 2244, 42, 12096, 3426, 13566, 4401, 2980, 401]}