-------
(10, 10935, 7) ALL distance distributions for INTERNAL point
(7, 10935, 7) has 1 possible DDs: {[5, 70, 420, 1400, 2800, 3360, 2240, 640]}
(8, 10935, 7) has 5 possible DDs: {[1, 32, 168, 784, 1820, 3024, 2968, 1712, 426], [2, 24, 196, 728, 1890, 2968, 2996, 1704, 427], [3, 16, 224, 672, 1960, 2912, 3024, 1696, 428], [4, 8, 252, 616, 2030, 2856, 3052, 1688, 429], [5, 0, 280, 560, 2100, 2800, 3080, 1680, 430]}
(9, 10935, 7) has 49 possible DDs: {[1, 0, 144, 168, 1512, 1764, 3360, 2376, 1332, 278], [1, 1, 136, 196, 1456, 1834, 3304, 2404, 1324, 279], [1, 2, 128, 224, 1400, 1904, 3248, 2432, 1316, 280], [1, 3, 120, 252, 1344, 1974, 3192, 2460, 1308, 281], [1, 4, 112, 280, 1288, 2044, 3136, 2488, 1300, 282], [1, 5, 104, 308, 1232, 2114, 3080, 2516, 1292, 283], [1, 6, 96, 336, 1176, 2184, 3024, 2544, 1284, 284], [1, 7, 88, 364, 1120, 2254, 2968, 2572, 1276, 285], [1, 8, 80, 392, 1064, 2324, 2912, 2600, 1268, 286], [1, 9, 72, 420, 1008, 2394, 2856, 2628, 1260, 287], [1, 10, 64, 448, 952, 2464, 2800, 2656, 1252, 288], [1, 11, 56, 476, 896, 2534, 2744, 2684, 1244, 289], [1, 12, 48, 504, 840, 2604, 2688, 2712, 1236, 290], [1, 13, 40, 532, 784, 2674, 2632, 2740, 1228, 291], [1, 14, 32, 560, 728, 2744, 2576, 2768, 1220, 292], [1, 15, 24, 588, 672, 2814, 2520, 2796, 1212, 293], [1, 16, 16, 616, 616, 2884, 2464, 2824, 1204, 294], [1, 17, 8, 644, 560, 2954, 2408, 2852, 1196, 295], [1, 18, 0, 672, 504, 3024, 2352, 2880, 1188, 296], [2, 0, 108, 336, 1134, 2268, 2940, 2592, 1269, 286], [2, 1, 100, 364, 1078, 2338, 2884, 2620, 1261, 287], [2, 2, 92, 392, 1022, 2408, 2828, 2648, 1253, 288], [2, 3, 84, 420, 966, 2478, 2772, 2676, 1245, 289], [2, 4, 76, 448, 910, 2548, 2716, 2704, 1237, 290], [2, 5, 68, 476, 854, 2618, 2660, 2732, 1229, 291], [2, 6, 60, 504, 798, 2688, 2604, 2760, 1221, 292], [2, 7, 52, 532, 742, 2758, 2548, 2788, 1213, 293], [2, 8, 44, 560, 686, 2828, 2492, 2816, 1205, 294], [2, 9, 36, 588, 630, 2898, 2436, 2844, 1197, 295], [2, 10, 28, 616, 574, 2968, 2380, 2872, 1189, 296], [2, 11, 20, 644, 518, 3038, 2324, 2900, 1181, 297], [2, 12, 12, 672, 462, 3108, 2268, 2928, 1173, 298], [2, 13, 4, 700, 406, 3178, 2212, 2956, 1165, 299], [3, 0, 72, 504, 756, 2772, 2520, 2808, 1206, 294], [3, 1, 64, 532, 700, 2842, 2464, 2836, 1198, 295], [3, 2, 56, 560, 644, 2912, 2408, 2864, 1190, 296], [3, 3, 48, 588, 588, 2982, 2352, 2892, 1182, 297], [3, 4, 40, 616, 532, 3052, 2296, 2920, 1174, 298], [3, 5, 32, 644, 476, 3122, 2240, 2948, 1166, 299], [3, 6, 24, 672, 420, 3192, 2184, 2976, 1158, 300], [3, 7, 16, 700, 364, 3262, 2128, 3004, 1150, 301], [3, 8, 8, 728, 308, 3332, 2072, 3032, 1142, 302], [3, 9, 0, 756, 252, 3402, 2016, 3060, 1134, 303], [4, 0, 36, 672, 378, 3276, 2100, 3024, 1143, 302], [4, 1, 28, 700, 322, 3346, 2044, 3052, 1135, 303], [4, 2, 20, 728, 266, 3416, 1988, 3080, 1127, 304], [4, 3, 12, 756, 210, 3486, 1932, 3108, 1119, 305], [4, 4, 4, 784, 154, 3556, 1876, 3136, 1111, 306], [5, 0, 0, 840, 0, 3780, 1680, 3240, 1080, 310]}
(10, 10935, 7) has 434 possible DDs: {[1, 0, 15, 360, 0, 2688, 1050, 3960, 1590, 1100, 171], [1, 0, 16, 352, 28, 2632, 1120, 3904, 1618, 1092, 172], [1, 0, 17, 344, 56, 2576, 1190, 3848, 1646, 1084, 173], [1, 0, 18, 336, 84, 2520, 1260, 3792, 1674, 1076, 174], [1, 0, 19, 328, 112, 2464, 1330, 3736, 1702, 1068, 175], [1, 0, 20, 320, 140, 2408, 1400, 3680, 1730, 1060, 176], [1, 0, 21, 312, 168, 2352, 1470, 3624, 1758, 1052, 177], [1, 0, 22, 304, 196, 2296, 1540, 3568, 1786, 1044, 178], [1, 0, 23, 296, 224, 2240, 1610, 3512, 1814, 1036, 179], [1, 0, 24, 288, 252, 2184, 1680, 3456, 1842, 1028, 180], [1, 0, 25, 280, 280, 2128, 1750, 3400, 1870, 1020, 181], [1, 0, 26, 272, 308, 2072, 1820, 3344, 1898, 1012, 182], [1, 0, 27, 264, 336, 2016, 1890, 3288, 1926, 1004, 183], [1, 0, 28, 256, 364, 1960, 1960, 3232, 1954, 996, 184], [1, 0, 29, 248, 392, 1904, 2030, 3176, 1982, 988, 185], [1, 0, 30, 240, 420, 1848, 2100, 3120, 2010, 980, 186], [1, 0, 31, 232, 448, 1792, 2170, 3064, 2038, 972, 187], [1, 0, 32, 224, 476, 1736, 2240, 3008, 2066, 964, 188], [1, 0, 33, 216, 504, 1680, 2310, 2952, 2094, 956, 189], [1, 0, 34, 208, 532, 1624, 2380, 2896, 2122, 948, 190], [1, 0, 35, 200, 560, 1568, 2450, 2840, 2150, 940, 191], [1, 0, 36, 192, 588, 1512, 2520, 2784, 2178, 932, 192], [1, 0, 37, 184, 616, 1456, 2590, 2728, 2206, 924, 193], [1, 0, 38, 176, 644, 1400, 2660, 2672, 2234, 916, 194], [1, 0, 39, 168, 672, 1344, 2730, 2616, 2262, 908, 195], [1, 0, 40, 160, 700, 1288, 2800, 2560, 2290, 900, 196], [1, 0, 41, 152, 728, 1232, 2870, 2504, 2318, 892, 197], [1, 0, 42, 144, 756, 1176, 2940, 2448, 2346, 884, 198], [1, 0, 43, 136, 784, 1120, 3010, 2392, 2374, 876, 199], [1, 0, 44, 128, 812, 1064, 3080, 2336, 2402, 868, 200], [1, 0, 45, 120, 840, 1008, 3150, 2280, 2430, 860, 201], [1, 0, 46, 112, 868, 952, 3220, 2224, 2458, 852, 202], [1, 0, 47, 104, 896, 896, 3290, 2168, 2486, 844, 203], [1, 0, 48, 96, 924, 840, 3360, 2112, 2514, 836, 204], [1, 0, 49, 88, 952, 784, 3430, 2056, 2542, 828, 205], [1, 0, 50, 80, 980, 728, 3500, 2000, 2570, 820, 206], [1, 0, 51, 72, 1008, 672, 3570, 1944, 2598, 812, 207], [1, 0, 52, 64, 1036, 616, 3640, 1888, 2626, 804, 208], [1, 0, 53, 56, 1064, 560, 3710, 1832, 2654, 796, 209], [1, 0, 54, 48, 1092, 504, 3780, 1776, 2682, 788, 210], [1, 0, 55, 40, 1120, 448, 3850, 1720, 2710, 780, 211], [1, 0, 56, 32, 1148, 392, 3920, 1664, 2738, 772, 212], [1, 0, 57, 24, 1176, 336, 3990, 1608, 2766, 764, 213], [1, 0, 58, 16, 1204, 280, 4060, 1552, 2794, 756, 214], [1, 0, 59, 8, 1232, 224, 4130, 1496, 2822, 748, 215], [1, 0, 60, 0, 1260, 168, 4200, 1440, 2850, 740, 216], [1, 1, 9, 372, 0, 2646, 1134, 3876, 1638, 1085, 173], [1, 1, 10, 364, 28, 2590, 1204, 3820, 1666, 1077, 174], [1, 1, 11, 356, 56, 2534, 1274, 3764, 1694, 1069, 175], [1, 1, 12, 348, 84, 2478, 1344, 3708, 1722, 1061, 176], [1, 1, 13, 340, 112, 2422, 1414, 3652, 1750, 1053, 177], [1, 1, 14, 332, 140, 2366, 1484, 3596, 1778, 1045, 178], [1, 1, 15, 324, 168, 2310, 1554, 3540, 1806, 1037, 179], [1, 1, 16, 316, 196, 2254, 1624, 3484, 1834, 1029, 180], [1, 1, 17, 308, 224, 2198, 1694, 3428, 1862, 1021, 181], [1, 1, 18, 300, 252, 2142, 1764, 3372, 1890, 1013, 182], [1, 1, 19, 292, 280, 2086, 1834, 3316, 1918, 1005, 183], [1, 1, 20, 284, 308, 2030, 1904, 3260, 1946, 997, 184], [1, 1, 21, 276, 336, 1974, 1974, 3204, 1974, 989, 185], [1, 1, 22, 268, 364, 1918, 2044, 3148, 2002, 981, 186], [1, 1, 23, 260, 392, 1862, 2114, 3092, 2030, 973, 187], [1, 1, 24, 252, 420, 1806, 2184, 3036, 2058, 965, 188], [1, 1, 25, 244, 448, 1750, 2254, 2980, 2086, 957, 189], [1, 1, 26, 236, 476, 1694, 2324, 2924, 2114, 949, 190], [1, 1, 27, 228, 504, 1638, 2394, 2868, 2142, 941, 191], [1, 1, 28, 220, 532, 1582, 2464, 2812, 2170, 933, 192], [1, 1, 29, 212, 560, 1526, 2534, 2756, 2198, 925, 193], [1, 1, 30, 204, 588, 1470, 2604, 2700, 2226, 917, 194], [1, 1, 31, 196, 616, 1414, 2674, 2644, 2254, 909, 195], [1, 1, 32, 188, 644, 1358, 2744, 2588, 2282, 901, 196], [1, 1, 33, 180, 672, 1302, 2814, 2532, 2310, 893, 197], [1, 1, 34, 172, 700, 1246, 2884, 2476, 2338, 885, 198], [1, 1, 35, 164, 728, 1190, 2954, 2420, 2366, 877, 199], [1, 1, 36, 156, 756, 1134, 3024, 2364, 2394, 869, 200], [1, 1, 37, 148, 784, 1078, 3094, 2308, 2422, 861, 201], [1, 1, 38, 140, 812, 1022, 3164, 2252, 2450, 853, 202], [1, 1, 39, 132, 840, 966, 3234, 2196, 2478, 845, 203], [1, 1, 40, 124, 868, 910, 3304, 2140, 2506, 837, 204], [1, 1, 41, 116, 896, 854, 3374, 2084, 2534, 829, 205], [1, 1, 42, 108, 924, 798, 3444, 2028, 2562, 821, 206], [1, 1, 43, 100, 952, 742, 3514, 1972, 2590, 813, 207], [1, 1, 44, 92, 980, 686, 3584, 1916, 2618, 805, 208], [1, 1, 45, 84, 1008, 630, 3654, 1860, 2646, 797, 209], [1, 1, 46, 76, 1036, 574, 3724, 1804, 2674, 789, 210], [1, 1, 47, 68, 1064, 518, 3794, 1748, 2702, 781, 211], [1, 1, 48, 60, 1092, 462, 3864, 1692, 2730, 773, 212], [1, 1, 49, 52, 1120, 406, 3934, 1636, 2758, 765, 213], [1, 1, 50, 44, 1148, 350, 4004, 1580, 2786, 757, 214], [1, 1, 51, 36, 1176, 294, 4074, 1524, 2814, 749, 215], [1, 1, 52, 28, 1204, 238, 4144, 1468, 2842, 741, 216], [1, 1, 53, 20, 1232, 182, 4214, 1412, 2870, 733, 217], [1, 1, 54, 12, 1260, 126, 4284, 1356, 2898, 725, 218], [1, 1, 55, 4, 1288, 70, 4354, 1300, 2926, 717, 219], [1, 2, 3, 384, 0, 2604, 1218, 3792, 1686, 1070, 175], [1, 2, 4, 376, 28, 2548, 1288, 3736, 1714, 1062, 176], [1, 2, 5, 368, 56, 2492, 1358, 3680, 1742, 1054, 177], [1, 2, 6, 360, 84, 2436, 1428, 3624, 1770, 1046, 178], [1, 2, 7, 352, 112, 2380, 1498, 3568, 1798, 1038, 179], [1, 2, 8, 344, 140, 2324, 1568, 3512, 1826, 1030, 180], [1, 2, 9, 336, 168, 2268, 1638, 3456, 1854, 1022, 181], [1, 2, 10, 328, 196, 2212, 1708, 3400, 1882, 1014, 182], [1, 2, 11, 320, 224, 2156, 1778, 3344, 1910, 1006, 183], [1, 2, 12, 312, 252, 2100, 1848, 3288, 1938, 998, 184], [1, 2, 13, 304, 280, 2044, 1918, 3232, 1966, 990, 185], [1, 2, 14, 296, 308, 1988, 1988, 3176, 1994, 982, 186], [1, 2, 15, 288, 336, 1932, 2058, 3120, 2022, 974, 187], [1, 2, 16, 280, 364, 1876, 2128, 3064, 2050, 966, 188], [1, 2, 17, 272, 392, 1820, 2198, 3008, 2078, 958, 189], [1, 2, 18, 264, 420, 1764, 2268, 2952, 2106, 950, 190], [1, 2, 19, 256, 448, 1708, 2338, 2896, 2134, 942, 191], [1, 2, 20, 248, 476, 1652, 2408, 2840, 2162, 934, 192], [1, 2, 21, 240, 504, 1596, 2478, 2784, 2190, 926, 193], [1, 2, 22, 232, 532, 1540, 2548, 2728, 2218, 918, 194], [1, 2, 23, 224, 560, 1484, 2618, 2672, 2246, 910, 195], [1, 2, 24, 216, 588, 1428, 2688, 2616, 2274, 902, 196], [1, 2, 25, 208, 616, 1372, 2758, 2560, 2302, 894, 197], [1, 2, 26, 200, 644, 1316, 2828, 2504, 2330, 886, 198], [1, 2, 27, 192, 672, 1260, 2898, 2448, 2358, 878, 199], [1, 2, 28, 184, 700, 1204, 2968, 2392, 2386, 870, 200], [1, 2, 29, 176, 728, 1148, 3038, 2336, 2414, 862, 201], [1, 2, 30, 168, 756, 1092, 3108, 2280, 2442, 854, 202], [1, 2, 31, 160, 784, 1036, 3178, 2224, 2470, 846, 203], [1, 2, 32, 152, 812, 980, 3248, 2168, 2498, 838, 204], [1, 2, 33, 144, 840, 924, 3318, 2112, 2526, 830, 205], [1, 2, 34, 136, 868, 868, 3388, 2056, 2554, 822, 206], [1, 2, 35, 128, 896, 812, 3458, 2000, 2582, 814, 207], [1, 2, 36, 120, 924, 756, 3528, 1944, 2610, 806, 208], [1, 2, 37, 112, 952, 700, 3598, 1888, 2638, 798, 209], [1, 2, 38, 104, 980, 644, 3668, 1832, 2666, 790, 210], [1, 2, 39, 96, 1008, 588, 3738, 1776, 2694, 782, 211], [1, 2, 40, 88, 1036, 532, 3808, 1720, 2722, 774, 212], [1, 2, 41, 80, 1064, 476, 3878, 1664, 2750, 766, 213], [1, 2, 42, 72, 1092, 420, 3948, 1608, 2778, 758, 214], [1, 2, 43, 64, 1120, 364, 4018, 1552, 2806, 750, 215], [1, 2, 44, 56, 1148, 308, 4088, 1496, 2834, 742, 216], [1, 2, 45, 48, 1176, 252, 4158, 1440, 2862, 734, 217], [1, 2, 46, 40, 1204, 196, 4228, 1384, 2890, 726, 218], [1, 2, 47, 32, 1232, 140, 4298, 1328, 2918, 718, 219], [1, 2, 48, 24, 1260, 84, 4368, 1272, 2946, 710, 220], [1, 2, 49, 16, 1288, 28, 4438, 1216, 2974, 702, 221], [1, 3, 0, 372, 84, 2394, 1512, 3540, 1818, 1031, 180], [1, 3, 1, 364, 112, 2338, 1582, 3484, 1846, 1023, 181], [1, 3, 2, 356, 140, 2282, 1652, 3428, 1874, 1015, 182], [1, 3, 3, 348, 168, 2226, 1722, 3372, 1902, 1007, 183], [1, 3, 4, 340, 196, 2170, 1792, 3316, 1930, 999, 184], [1, 3, 5, 332, 224, 2114, 1862, 3260, 1958, 991, 185], [1, 3, 6, 324, 252, 2058, 1932, 3204, 1986, 983, 186], [1, 3, 7, 316, 280, 2002, 2002, 3148, 2014, 975, 187], [1, 3, 8, 308, 308, 1946, 2072, 3092, 2042, 967, 188], [1, 3, 9, 300, 336, 1890, 2142, 3036, 2070, 959, 189], [1, 3, 10, 292, 364, 1834, 2212, 2980, 2098, 951, 190], [1, 3, 11, 284, 392, 1778, 2282, 2924, 2126, 943, 191], [1, 3, 12, 276, 420, 1722, 2352, 2868, 2154, 935, 192], [1, 3, 13, 268, 448, 1666, 2422, 2812, 2182, 927, 193], [1, 3, 14, 260, 476, 1610, 2492, 2756, 2210, 919, 194], [1, 3, 15, 252, 504, 1554, 2562, 2700, 2238, 911, 195], [1, 3, 16, 244, 532, 1498, 2632, 2644, 2266, 903, 196], [1, 3, 17, 236, 560, 1442, 2702, 2588, 2294, 895, 197], [1, 3, 18, 228, 588, 1386, 2772, 2532, 2322, 887, 198], [1, 3, 19, 220, 616, 1330, 2842, 2476, 2350, 879, 199], [1, 3, 20, 212, 644, 1274, 2912, 2420, 2378, 871, 200], [1, 3, 21, 204, 672, 1218, 2982, 2364, 2406, 863, 201], [1, 3, 22, 196, 700, 1162, 3052, 2308, 2434, 855, 202], [1, 3, 23, 188, 728, 1106, 3122, 2252, 2462, 847, 203], [1, 3, 24, 180, 756, 1050, 3192, 2196, 2490, 839, 204], [1, 3, 25, 172, 784, 994, 3262, 2140, 2518, 831, 205], [1, 3, 26, 164, 812, 938, 3332, 2084, 2546, 823, 206], [1, 3, 27, 156, 840, 882, 3402, 2028, 2574, 815, 207], [1, 3, 28, 148, 868, 826, 3472, 1972, 2602, 807, 208], [1, 3, 29, 140, 896, 770, 3542, 1916, 2630, 799, 209], [1, 3, 30, 132, 924, 714, 3612, 1860, 2658, 791, 210], [1, 3, 31, 124, 952, 658, 3682, 1804, 2686, 783, 211], [1, 3, 32, 116, 980, 602, 3752, 1748, 2714, 775, 212], [1, 3, 33, 108, 1008, 546, 3822, 1692, 2742, 767, 213], [1, 3, 34, 100, 1036, 490, 3892, 1636, 2770, 759, 214], [1, 3, 35, 92, 1064, 434, 3962, 1580, 2798, 751, 215], [1, 3, 36, 84, 1092, 378, 4032, 1524, 2826, 743, 216], [1, 3, 37, 76, 1120, 322, 4102, 1468, 2854, 735, 217], [1, 3, 38, 68, 1148, 266, 4172, 1412, 2882, 727, 218], [1, 3, 39, 60, 1176, 210, 4242, 1356, 2910, 719, 219], [1, 3, 40, 52, 1204, 154, 4312, 1300, 2938, 711, 220], [1, 3, 41, 44, 1232, 98, 4382, 1244, 2966, 703, 221], [1, 3, 42, 36, 1260, 42, 4452, 1188, 2994, 695, 222], [1, 4, 0, 336, 252, 2016, 2016, 3120, 2034, 968, 188], [1, 4, 1, 328, 280, 1960, 2086, 3064, 2062, 960, 189], [1, 4, 2, 320, 308, 1904, 2156, 3008, 2090, 952, 190], [1, 4, 3, 312, 336, 1848, 2226, 2952, 2118, 944, 191], [1, 4, 4, 304, 364, 1792, 2296, 2896, 2146, 936, 192], [1, 4, 5, 296, 392, 1736, 2366, 2840, 2174, 928, 193], [1, 4, 6, 288, 420, 1680, 2436, 2784, 2202, 920, 194], [1, 4, 7, 280, 448, 1624, 2506, 2728, 2230, 912, 195], [1, 4, 8, 272, 476, 1568, 2576, 2672, 2258, 904, 196], [1, 4, 9, 264, 504, 1512, 2646, 2616, 2286, 896, 197], [1, 4, 10, 256, 532, 1456, 2716, 2560, 2314, 888, 198], [1, 4, 11, 248, 560, 1400, 2786, 2504, 2342, 880, 199], [1, 4, 12, 240, 588, 1344, 2856, 2448, 2370, 872, 200], [1, 4, 13, 232, 616, 1288, 2926, 2392, 2398, 864, 201], [1, 4, 14, 224, 644, 1232, 2996, 2336, 2426, 856, 202], [1, 4, 15, 216, 672, 1176, 3066, 2280, 2454, 848, 203], [1, 4, 16, 208, 700, 1120, 3136, 2224, 2482, 840, 204], [1, 4, 17, 200, 728, 1064, 3206, 2168, 2510, 832, 205], [1, 4, 18, 192, 756, 1008, 3276, 2112, 2538, 824, 206], [1, 4, 19, 184, 784, 952, 3346, 2056, 2566, 816, 207], [1, 4, 20, 176, 812, 896, 3416, 2000, 2594, 808, 208], [1, 4, 21, 168, 840, 840, 3486, 1944, 2622, 800, 209], [1, 4, 22, 160, 868, 784, 3556, 1888, 2650, 792, 210], [1, 4, 23, 152, 896, 728, 3626, 1832, 2678, 784, 211], [1, 4, 24, 144, 924, 672, 3696, 1776, 2706, 776, 212], [1, 4, 25, 136, 952, 616, 3766, 1720, 2734, 768, 213], [1, 4, 26, 128, 980, 560, 3836, 1664, 2762, 760, 214], [1, 4, 27, 120, 1008, 504, 3906, 1608, 2790, 752, 215], [1, 4, 28, 112, 1036, 448, 3976, 1552, 2818, 744, 216], [1, 4, 29, 104, 1064, 392, 4046, 1496, 2846, 736, 217], [1, 4, 30, 96, 1092, 336, 4116, 1440, 2874, 728, 218], [1, 4, 31, 88, 1120, 280, 4186, 1384, 2902, 720, 219], [1, 4, 32, 80, 1148, 224, 4256, 1328, 2930, 712, 220], [1, 4, 33, 72, 1176, 168, 4326, 1272, 2958, 704, 221], [1, 4, 34, 64, 1204, 112, 4396, 1216, 2986, 696, 222], [1, 4, 35, 56, 1232, 56, 4466, 1160, 3014, 688, 223], [1, 4, 36, 48, 1260, 0, 4536, 1104, 3042, 680, 224], [1, 5, 0, 300, 420, 1638, 2520, 2700, 2250, 905, 196], [1, 5, 1, 292, 448, 1582, 2590, 2644, 2278, 897, 197], [1, 5, 2, 284, 476, 1526, 2660, 2588, 2306, 889, 198], [1, 5, 3, 276, 504, 1470, 2730, 2532, 2334, 881, 199], [1, 5, 4, 268, 532, 1414, 2800, 2476, 2362, 873, 200], [1, 5, 5, 260, 560, 1358, 2870, 2420, 2390, 865, 201], [1, 5, 6, 252, 588, 1302, 2940, 2364, 2418, 857, 202], [1, 5, 7, 244, 616, 1246, 3010, 2308, 2446, 849, 203], [1, 5, 8, 236, 644, 1190, 3080, 2252, 2474, 841, 204], [1, 5, 9, 228, 672, 1134, 3150, 2196, 2502, 833, 205], [1, 5, 10, 220, 700, 1078, 3220, 2140, 2530, 825, 206], [1, 5, 11, 212, 728, 1022, 3290, 2084, 2558, 817, 207], [1, 5, 12, 204, 756, 966, 3360, 2028, 2586, 809, 208], [1, 5, 13, 196, 784, 910, 3430, 1972, 2614, 801, 209], [1, 5, 14, 188, 812, 854, 3500, 1916, 2642, 793, 210], [1, 5, 15, 180, 840, 798, 3570, 1860, 2670, 785, 211], [1, 5, 16, 172, 868, 742, 3640, 1804, 2698, 777, 212], [1, 5, 17, 164, 896, 686, 3710, 1748, 2726, 769, 213], [1, 5, 18, 156, 924, 630, 3780, 1692, 2754, 761, 214], [1, 5, 19, 148, 952, 574, 3850, 1636, 2782, 753, 215], [1, 5, 20, 140, 980, 518, 3920, 1580, 2810, 745, 216], [1, 5, 21, 132, 1008, 462, 3990, 1524, 2838, 737, 217], [1, 5, 22, 124, 1036, 406, 4060, 1468, 2866, 729, 218], [1, 5, 23, 116, 1064, 350, 4130, 1412, 2894, 721, 219], [1, 5, 24, 108, 1092, 294, 4200, 1356, 2922, 713, 220], [1, 5, 25, 100, 1120, 238, 4270, 1300, 2950, 705, 221], [1, 5, 26, 92, 1148, 182, 4340, 1244, 2978, 697, 222], [1, 5, 27, 84, 1176, 126, 4410, 1188, 3006, 689, 223], [1, 5, 28, 76, 1204, 70, 4480, 1132, 3034, 681, 224], [1, 5, 29, 68, 1232, 14, 4550, 1076, 3062, 673, 225], [1, 6, 0, 264, 588, 1260, 3024, 2280, 2466, 842, 204], [1, 6, 1, 256, 616, 1204, 3094, 2224, 2494, 834, 205], [1, 6, 2, 248, 644, 1148, 3164, 2168, 2522, 826, 206], [1, 6, 3, 240, 672, 1092, 3234, 2112, 2550, 818, 207], [1, 6, 4, 232, 700, 1036, 3304, 2056, 2578, 810, 208], [1, 6, 5, 224, 728, 980, 3374, 2000, 2606, 802, 209], [1, 6, 6, 216, 756, 924, 3444, 1944, 2634, 794, 210], [1, 6, 7, 208, 784, 868, 3514, 1888, 2662, 786, 211], [1, 6, 8, 200, 812, 812, 3584, 1832, 2690, 778, 212], [1, 6, 9, 192, 840, 756, 3654, 1776, 2718, 770, 213], [1, 6, 10, 184, 868, 700, 3724, 1720, 2746, 762, 214], [1, 6, 11, 176, 896, 644, 3794, 1664, 2774, 754, 215], [1, 6, 12, 168, 924, 588, 3864, 1608, 2802, 746, 216], [1, 6, 13, 160, 952, 532, 3934, 1552, 2830, 738, 217], [1, 6, 14, 152, 980, 476, 4004, 1496, 2858, 730, 218], [1, 6, 15, 144, 1008, 420, 4074, 1440, 2886, 722, 219], [1, 6, 16, 136, 1036, 364, 4144, 1384, 2914, 714, 220], [1, 6, 17, 128, 1064, 308, 4214, 1328, 2942, 706, 221], [1, 6, 18, 120, 1092, 252, 4284, 1272, 2970, 698, 222], [1, 6, 19, 112, 1120, 196, 4354, 1216, 2998, 690, 223], [1, 6, 20, 104, 1148, 140, 4424, 1160, 3026, 682, 224], [1, 6, 21, 96, 1176, 84, 4494, 1104, 3054, 674, 225], [1, 6, 22, 88, 1204, 28, 4564, 1048, 3082, 666, 226], [1, 7, 0, 228, 756, 882, 3528, 1860, 2682, 779, 212], [1, 7, 1, 220, 784, 826, 3598, 1804, 2710, 771, 213], [1, 7, 2, 212, 812, 770, 3668, 1748, 2738, 763, 214], [1, 7, 3, 204, 840, 714, 3738, 1692, 2766, 755, 215], [1, 7, 4, 196, 868, 658, 3808, 1636, 2794, 747, 216], [1, 7, 5, 188, 896, 602, 3878, 1580, 2822, 739, 217], [1, 7, 6, 180, 924, 546, 3948, 1524, 2850, 731, 218], [1, 7, 7, 172, 952, 490, 4018, 1468, 2878, 723, 219], [1, 7, 8, 164, 980, 434, 4088, 1412, 2906, 715, 220], [1, 7, 9, 156, 1008, 378, 4158, 1356, 2934, 707, 221], [1, 7, 10, 148, 1036, 322, 4228, 1300, 2962, 699, 222], [1, 7, 11, 140, 1064, 266, 4298, 1244, 2990, 691, 223], [1, 7, 12, 132, 1092, 210, 4368, 1188, 3018, 683, 224], [1, 7, 13, 124, 1120, 154, 4438, 1132, 3046, 675, 225], [1, 7, 14, 116, 1148, 98, 4508, 1076, 3074, 667, 226], [1, 7, 15, 108, 1176, 42, 4578, 1020, 3102, 659, 227], [1, 8, 0, 192, 924, 504, 4032, 1440, 2898, 716, 220], [1, 8, 1, 184, 952, 448, 4102, 1384, 2926, 708, 221], [1, 8, 2, 176, 980, 392, 4172, 1328, 2954, 700, 222], [1, 8, 3, 168, 1008, 336, 4242, 1272, 2982, 692, 223], [1, 8, 4, 160, 1036, 280, 4312, 1216, 3010, 684, 224], [1, 8, 5, 152, 1064, 224, 4382, 1160, 3038, 676, 225], [1, 8, 6, 144, 1092, 168, 4452, 1104, 3066, 668, 226], [1, 8, 7, 136, 1120, 112, 4522, 1048, 3094, 660, 227], [1, 8, 8, 128, 1148, 56, 4592, 992, 3122, 652, 228], [1, 8, 9, 120, 1176, 0, 4662, 936, 3150, 644, 229], [1, 9, 0, 156, 1092, 126, 4536, 1020, 3114, 653, 228], [1, 9, 1, 148, 1120, 70, 4606, 964, 3142, 645, 229], [1, 9, 2, 140, 1148, 14, 4676, 908, 3170, 637, 230], [2, 0, 0, 360, 210, 2016, 2100, 3000, 2115, 940, 192], [2, 0, 1, 352, 238, 1960, 2170, 2944, 2143, 932, 193], [2, 0, 2, 344, 266, 1904, 2240, 2888, 2171, 924, 194], [2, 0, 3, 336, 294, 1848, 2310, 2832, 2199, 916, 195], [2, 0, 4, 328, 322, 1792, 2380, 2776, 2227, 908, 196], [2, 0, 5, 320, 350, 1736, 2450, 2720, 2255, 900, 197], [2, 0, 6, 312, 378, 1680, 2520, 2664, 2283, 892, 198], [2, 0, 7, 304, 406, 1624, 2590, 2608, 2311, 884, 199], [2, 0, 8, 296, 434, 1568, 2660, 2552, 2339, 876, 200], [2, 0, 9, 288, 462, 1512, 2730, 2496, 2367, 868, 201], [2, 0, 10, 280, 490, 1456, 2800, 2440, 2395, 860, 202], [2, 0, 11, 272, 518, 1400, 2870, 2384, 2423, 852, 203], [2, 0, 12, 264, 546, 1344, 2940, 2328, 2451, 844, 204], [2, 0, 13, 256, 574, 1288, 3010, 2272, 2479, 836, 205], [2, 0, 14, 248, 602, 1232, 3080, 2216, 2507, 828, 206], [2, 0, 15, 240, 630, 1176, 3150, 2160, 2535, 820, 207], [2, 0, 16, 232, 658, 1120, 3220, 2104, 2563, 812, 208], [2, 0, 17, 224, 686, 1064, 3290, 2048, 2591, 804, 209], [2, 0, 18, 216, 714, 1008, 3360, 1992, 2619, 796, 210], [2, 0, 19, 208, 742, 952, 3430, 1936, 2647, 788, 211], [2, 0, 20, 200, 770, 896, 3500, 1880, 2675, 780, 212], [2, 0, 21, 192, 798, 840, 3570, 1824, 2703, 772, 213], [2, 0, 22, 184, 826, 784, 3640, 1768, 2731, 764, 214], [2, 0, 23, 176, 854, 728, 3710, 1712, 2759, 756, 215], [2, 0, 24, 168, 882, 672, 3780, 1656, 2787, 748, 216], [2, 0, 25, 160, 910, 616, 3850, 1600, 2815, 740, 217], [2, 0, 26, 152, 938, 560, 3920, 1544, 2843, 732, 218], [2, 0, 27, 144, 966, 504, 3990, 1488, 2871, 724, 219], [2, 0, 28, 136, 994, 448, 4060, 1432, 2899, 716, 220], [2, 0, 29, 128, 1022, 392, 4130, 1376, 2927, 708, 221], [2, 0, 30, 120, 1050, 336, 4200, 1320, 2955, 700, 222], [2, 0, 31, 112, 1078, 280, 4270, 1264, 2983, 692, 223], [2, 0, 32, 104, 1106, 224, 4340, 1208, 3011, 684, 224], [2, 0, 33, 96, 1134, 168, 4410, 1152, 3039, 676, 225], [2, 0, 34, 88, 1162, 112, 4480, 1096, 3067, 668, 226], [2, 0, 35, 80, 1190, 56, 4550, 1040, 3095, 660, 227], [2, 0, 36, 72, 1218, 0, 4620, 984, 3123, 652, 228], [2, 1, 0, 324, 378, 1638, 2604, 2580, 2331, 877, 200], [2, 1, 1, 316, 406, 1582, 2674, 2524, 2359, 869, 201], [2, 1, 2, 308, 434, 1526, 2744, 2468, 2387, 861, 202], [2, 1, 3, 300, 462, 1470, 2814, 2412, 2415, 853, 203], [2, 1, 4, 292, 490, 1414, 2884, 2356, 2443, 845, 204], [2, 1, 5, 284, 518, 1358, 2954, 2300, 2471, 837, 205], [2, 1, 6, 276, 546, 1302, 3024, 2244, 2499, 829, 206], [2, 1, 7, 268, 574, 1246, 3094, 2188, 2527, 821, 207], [2, 1, 8, 260, 602, 1190, 3164, 2132, 2555, 813, 208], [2, 1, 9, 252, 630, 1134, 3234, 2076, 2583, 805, 209], [2, 1, 10, 244, 658, 1078, 3304, 2020, 2611, 797, 210], [2, 1, 11, 236, 686, 1022, 3374, 1964, 2639, 789, 211], [2, 1, 12, 228, 714, 966, 3444, 1908, 2667, 781, 212], [2, 1, 13, 220, 742, 910, 3514, 1852, 2695, 773, 213], [2, 1, 14, 212, 770, 854, 3584, 1796, 2723, 765, 214], [2, 1, 15, 204, 798, 798, 3654, 1740, 2751, 757, 215], [2, 1, 16, 196, 826, 742, 3724, 1684, 2779, 749, 216], [2, 1, 17, 188, 854, 686, 3794, 1628, 2807, 741, 217], [2, 1, 18, 180, 882, 630, 3864, 1572, 2835, 733, 218], [2, 1, 19, 172, 910, 574, 3934, 1516, 2863, 725, 219], [2, 1, 20, 164, 938, 518, 4004, 1460, 2891, 717, 220], [2, 1, 21, 156, 966, 462, 4074, 1404, 2919, 709, 221], [2, 1, 22, 148, 994, 406, 4144, 1348, 2947, 701, 222], [2, 1, 23, 140, 1022, 350, 4214, 1292, 2975, 693, 223], [2, 1, 24, 132, 1050, 294, 4284, 1236, 3003, 685, 224], [2, 1, 25, 124, 1078, 238, 4354, 1180, 3031, 677, 225], [2, 1, 26, 116, 1106, 182, 4424, 1124, 3059, 669, 226], [2, 1, 27, 108, 1134, 126, 4494, 1068, 3087, 661, 227], [2, 1, 28, 100, 1162, 70, 4564, 1012, 3115, 653, 228], [2, 1, 29, 92, 1190, 14, 4634, 956, 3143, 645, 229], [2, 2, 0, 288, 546, 1260, 3108, 2160, 2547, 814, 208], [2, 2, 1, 280, 574, 1204, 3178, 2104, 2575, 806, 209], [2, 2, 2, 272, 602, 1148, 3248, 2048, 2603, 798, 210], [2, 2, 3, 264, 630, 1092, 3318, 1992, 2631, 790, 211], [2, 2, 4, 256, 658, 1036, 3388, 1936, 2659, 782, 212], [2, 2, 5, 248, 686, 980, 3458, 1880, 2687, 774, 213], [2, 2, 6, 240, 714, 924, 3528, 1824, 2715, 766, 214], [2, 2, 7, 232, 742, 868, 3598, 1768, 2743, 758, 215], [2, 2, 8, 224, 770, 812, 3668, 1712, 2771, 750, 216], [2, 2, 9, 216, 798, 756, 3738, 1656, 2799, 742, 217], [2, 2, 10, 208, 826, 700, 3808, 1600, 2827, 734, 218], [2, 2, 11, 200, 854, 644, 3878, 1544, 2855, 726, 219], [2, 2, 12, 192, 882, 588, 3948, 1488, 2883, 718, 220], [2, 2, 13, 184, 910, 532, 4018, 1432, 2911, 710, 221], [2, 2, 14, 176, 938, 476, 4088, 1376, 2939, 702, 222], [2, 2, 15, 168, 966, 420, 4158, 1320, 2967, 694, 223], [2, 2, 16, 160, 994, 364, 4228, 1264, 2995, 686, 224], [2, 2, 17, 152, 1022, 308, 4298, 1208, 3023, 678, 225], [2, 2, 18, 144, 1050, 252, 4368, 1152, 3051, 670, 226], [2, 2, 19, 136, 1078, 196, 4438, 1096, 3079, 662, 227], [2, 2, 20, 128, 1106, 140, 4508, 1040, 3107, 654, 228], [2, 2, 21, 120, 1134, 84, 4578, 984, 3135, 646, 229], [2, 2, 22, 112, 1162, 28, 4648, 928, 3163, 638, 230], [2, 3, 0, 252, 714, 882, 3612, 1740, 2763, 751, 216], [2, 3, 1, 244, 742, 826, 3682, 1684, 2791, 743, 217], [2, 3, 2, 236, 770, 770, 3752, 1628, 2819, 735, 218], [2, 3, 3, 228, 798, 714, 3822, 1572, 2847, 727, 219], [2, 3, 4, 220, 826, 658, 3892, 1516, 2875, 719, 220], [2, 3, 5, 212, 854, 602, 3962, 1460, 2903, 711, 221], [2, 3, 6, 204, 882, 546, 4032, 1404, 2931, 703, 222], [2, 3, 7, 196, 910, 490, 4102, 1348, 2959, 695, 223], [2, 3, 8, 188, 938, 434, 4172, 1292, 2987, 687, 224], [2, 3, 9, 180, 966, 378, 4242, 1236, 3015, 679, 225], [2, 3, 10, 172, 994, 322, 4312, 1180, 3043, 671, 226], [2, 3, 11, 164, 1022, 266, 4382, 1124, 3071, 663, 227], [2, 3, 12, 156, 1050, 210, 4452, 1068, 3099, 655, 228], [2, 3, 13, 148, 1078, 154, 4522, 1012, 3127, 647, 229], [2, 3, 14, 140, 1106, 98, 4592, 956, 3155, 639, 230], [2, 3, 15, 132, 1134, 42, 4662, 900, 3183, 631, 231], [2, 4, 0, 216, 882, 504, 4116, 1320, 2979, 688, 224], [2, 4, 1, 208, 910, 448, 4186, 1264, 3007, 680, 225], [2, 4, 2, 200, 938, 392, 4256, 1208, 3035, 672, 226], [2, 4, 3, 192, 966, 336, 4326, 1152, 3063, 664, 227], [2, 4, 4, 184, 994, 280, 4396, 1096, 3091, 656, 228], [2, 4, 5, 176, 1022, 224, 4466, 1040, 3119, 648, 229], [2, 4, 6, 168, 1050, 168, 4536, 984, 3147, 640, 230], [2, 4, 7, 160, 1078, 112, 4606, 928, 3175, 632, 231], [2, 4, 8, 152, 1106, 56, 4676, 872, 3203, 624, 232], [2, 4, 9, 144, 1134, 0, 4746, 816, 3231, 616, 233], [2, 5, 0, 180, 1050, 126, 4620, 900, 3195, 625, 232], [2, 5, 1, 172, 1078, 70, 4690, 844, 3223, 617, 233], [2, 5, 2, 164, 1106, 14, 4760, 788, 3251, 609, 234], [3, 0, 0, 240, 840, 504, 4200, 1200, 3060, 660, 228], [3, 0, 1, 232, 868, 448, 4270, 1144, 3088, 652, 229], [3, 0, 2, 224, 896, 392, 4340, 1088, 3116, 644, 230], [3, 0, 3, 216, 924, 336, 4410, 1032, 3144, 636, 231], [3, 0, 4, 208, 952, 280, 4480, 976, 3172, 628, 232], [3, 0, 5, 200, 980, 224, 4550, 920, 3200, 620, 233], [3, 0, 6, 192, 1008, 168, 4620, 864, 3228, 612, 234], [3, 0, 7, 184, 1036, 112, 4690, 808, 3256, 604, 235], [3, 0, 8, 176, 1064, 56, 4760, 752, 3284, 596, 236], [3, 0, 9, 168, 1092, 0, 4830, 696, 3312, 588, 237], [3, 1, 0, 204, 1008, 126, 4704, 780, 3276, 597, 236], [3, 1, 1, 196, 1036, 70, 4774, 724, 3304, 589, 237], [3, 1, 2, 188, 1064, 14, 4844, 668, 3332, 581, 238]}