correlations.py

correlations = {3: [1918, 2319, 4312, 6127, 6360, 7093, 7172],
                4: [111, 114, 1025, 1504, 2457, 4909, 5229, 5438, 7171],
                4101: [5078], 6145: [6172, 6425, 6725, 6907, 7101, 7121],
                8: [972, 2274, 5791], 4105: [5754],
                4106: [4196, 4285, 4355, 4365, 4367, 4439, 4440, 4573, 4640,
                       4826, 4849, 4937, 5078, 5170, 5213, 5234, 5254, 5271,
                       5289, 5312, 5350, 5370, 5392, 5468, 5508, 5521, 5537,
                       5781, 5799, 5803, 5815, 5856, 5899, 5916, 5944, 6037,
                       6293, 6319, 6333, 6335, 6343, 6360, 6425, 6470, 6488,
                       6496, 6509, 6517, 6543, 6548, 6581, 6583, 6654, 6672,
                       6702, 6744, 6798, 6810, 6812, 6826, 6886, 6905, 6907,
                       6916, 6923, 7002, 7101, 7112, 7121, 7169],
                12: [72, 255, 280, 435, 582, 644, 910, 1153, 1795, 1868, 1905,
                     2044, 2350, 3640, 4119, 4218, 5063, 5456, 6983],
                13: [14, 16, 19, 42, 44, 50, 52, 56, 58, 61, 65, 68, 69, 72, 73,
                     80, 81, 92, 93, 100, 102, 103, 104, 109, 110, 112, 119, 121,
                     122, 127, 129, 132, 134, 136, 141, 142, 143, 145, 146, 149,
                     151, 153, 155, 157, 162, 166, 171, 175, 177, 179, 180, 182,
                     185, 190, 193, 198, 199, 206, 207, 208, 216, 218, 221, 224,
                     226, 227, 233, 235, 237, 238, 241, 242, 245, 255, 260, 270,
                     275, 276, 278, 281, 284, 285, 288, 293, 299, 303, 306, 307,
                     309, 312, 315, 316, 317, 319, 323, 324, 326, 327, 328, 331,
                     336, 339, 340, 342, 346, 347, 349, 355, 358, 359, 362, 363,
                     364, 365, 366, 371, 379, 384, 385, 390, 391, 394, 397, 399,
                     400, 402, 407, 409, 416, 418, 419, 420, 428, 435, 441, 442,
                     443, 446, 450, 451, 458, 459, 462, 464, 465, 468, 470, 471,
                     472, 487, 489, 490, 494, 499, 500, 501, 508, 512, 514, 516,
                     528, 529, 530, 532, 534, 536, 547, 556, 560, 563, 565, 566,
                     567, 578, 580, 581, 583, 586, 588, 590, 594, 596, 597, 599, 602, 603, 606, 611, 612, 613, 617, 622,
                     624, 630, 632, 633, 644, 660, 668, 669, 672, 673, 675, 677, 679, 680, 685, 686, 687, 690, 692, 693,
                     696, 697, 698, 700, 709, 710, 716, 718, 719, 722, 727, 729, 730, 731, 732, 733, 737, 738, 739, 742,
                     743, 747, 751, 752, 753, 754, 755, 756, 759, 760, 761, 763, 769, 774, 779, 780, 781, 783, 784, 786,
                     789, 795, 797, 798, 803, 804, 805, 806, 809, 811, 812, 815, 816, 822, 824, 830, 835, 836, 839, 841,
                     842, 844, 846, 848, 849, 850, 855, 859, 860, 869, 871, 872, 873, 879, 881, 884, 894, 900, 901, 905,
                     908, 909, 910, 912, 913, 914, 915, 918, 922, 927, 934, 935, 937, 941, 943, 944, 948, 949, 950, 952,
                     958, 959, 962, 965, 966, 967, 971, 977, 979, 982, 986, 987, 989, 991, 992, 995, 996, 998, 999,
                     1002, 1004, 1017, 1021, 1023, 1024, 1025, 1028, 1031, 1033, 1035, 1038, 1039, 1042, 1045, 1049,
                     1054, 1057, 1058, 1060, 1061, 1062, 1066, 1067, 1080, 1081, 1084, 1085, 1095, 1096, 1097, 1099,
                     1100, 1114, 1118, 1120, 1124, 1133, 1138, 1142, 1149, 1153, 1157, 1159, 1163, 1165, 1170, 1171,
                     1174, 1180, 1183, 1187, 1189, 1190, 1192, 1193, 1196, 1198, 1199, 1201, 1204, 1207, 1218, 1219,
                     1220, 1223, 1228, 1229, 1234, 1239, 1240, 1242, 1243, 1245, 1248, 1251, 1252, 1253, 1257, 1258,
                     1259, 1262, 1263, 1266, 1272, 1275, 1288, 1292, 1293, 1294, 1299, 1300, 1305, 1309, 1310, 1314,
                     1319, 1320, 1327, 1330, 1335, 1338, 1341, 1343, 1344, 1345, 1349, 1354, 1355, 1356, 1357, 1359,
                     1360, 1363, 1365, 1367, 1369, 1371, 1378, 1379, 1385, 1386, 1387, 1390, 1395, 1396, 1405, 1407,
                     1408, 1411, 1420, 1427, 1429, 1430, 1431, 1435, 1436, 1438, 1440, 1441, 1446, 1448, 1449, 1450,
                     1455, 1456, 1459, 1462, 1464, 1465, 1468, 1469, 1470, 1471, 1472, 1474, 1475, 1476, 1477, 1481,
                     1484, 1485, 1491, 1496, 1497, 1501, 1503, 1510, 1516, 1520, 1524, 1527, 1530, 1532, 1536, 1537,
                     1543, 1550, 1555, 1556, 1558, 1564, 1571, 1573, 1579, 1581, 1586, 1589, 1591, 1600, 1601, 1602,
                     1605, 1608, 1613, 1614, 1616, 1619, 1622, 1625, 1627, 1630, 1633, 1635, 1639, 1642, 1644, 1650,
                     1653, 1654, 1656, 1657, 1658, 1663, 1666, 1668, 1671, 1675, 1676, 1677, 1678, 1679, 1681, 1683,
                     1685, 1690, 1691, 1692, 1695, 1696, 1699, 1703, 1704, 1709, 1710, 1713, 1715, 1716, 1719, 1722,
                     1725, 1726, 1733, 1734, 1735, 1737, 1740, 1741, 1743, 1744, 1752, 1753, 1754, 1761, 1765, 1767,
                     1772, 1776, 1781, 1784, 1789, 1792, 1793, 1799, 1805, 1807, 1809, 1810, 1811, 1816, 1819, 1820,
                     1822, 1824, 1828, 1829, 1833, 1838, 1841, 1845, 1847, 1850, 1852, 1853, 1856, 1857, 1858, 1859,
                     1860, 1861, 1862, 1863, 1864, 1867, 1868, 1869, 1870, 1871, 1872, 1877, 1882, 1884, 1889, 1891,
                     1893, 1895, 1897, 1899, 1901, 1906, 1908, 1909, 1911, 1916, 1917, 1918, 1920, 1921, 1924, 1928,
                     1937, 1942, 1948, 1949, 1950, 1954, 1961, 1968, 1969, 1970, 1972, 1978, 1979, 1982, 1984, 1985,
                     1986, 1988, 1989, 1992, 1994, 1999, 2004, 2007, 2008, 2012, 2013, 2014, 2020, 2021, 2025, 2030,
                     2031, 2036, 2038, 2039, 2042, 2043, 2044, 2050, 2052, 2053, 2057, 2065, 2072, 2076, 2078, 2079,
                     2080, 2082, 2084, 2085, 2089, 2091, 2094, 2095, 2103, 2104, 2108, 2114, 2127, 2129, 2130, 2133,
                     2140, 2141, 2142, 2144, 2149, 2152, 2154, 2158, 2161, 2162, 2165, 2170, 2180, 2181, 2183, 2185,
                     2187, 2190, 2192, 2194, 2197, 2200, 2203, 2204, 2210, 2211, 2220, 2227, 2228, 2230, 2237, 2239,
                     2242, 2246, 2251, 2252, 2258, 2261, 2268, 2277, 2278, 2279, 2295, 2297, 2302, 2307, 2308, 2312,
                     2314, 2318, 2319, 2326, 2327, 2336, 2339, 2341, 2343, 2350, 2351, 2357, 2359, 2362, 2363, 2364,
                     2370, 2376, 2379, 2380, 2383, 2384, 2385, 2389, 2398, 2409, 2410, 2411, 2412, 2419, 2421, 2424,
                     2426, 2429, 2433, 2436, 2440, 2443, 2447, 2448, 2454, 2460, 2462, 2463, 2465, 2467, 2472, 2478,
                     2487, 2488, 2489, 2490, 2492, 2493, 2499, 2500, 2504, 2509, 2511, 2512, 2513, 2520, 2521, 2525,
                     2532, 2541, 2542, 2544, 2549, 2551, 2553, 2554, 2556, 2557, 2565, 2567, 2570, 2574, 2578, 2579,
                     2582, 2591, 2592, 2595, 2599, 2600, 2601, 2605, 2609, 2613, 2620, 2622, 2628, 2632, 2634, 2637,
                     2639, 2642, 2643, 2648, 2649, 2659, 2661, 2663, 2668, 2669, 2671, 2672, 2674, 2675, 2679, 2684,
                     2693, 2699, 2704, 2705, 2706, 2709, 2717, 2718, 2719, 2720, 2722, 2725, 2727, 2736, 2740, 2743,
                     2745, 2747, 2749, 2751, 2757, 2772, 2774, 2779, 2782, 2786, 2788, 2791, 2795, 2799, 2805, 2807,
                     2808, 2811, 2816, 2827, 2830, 2831, 2832, 2833, 2835, 2846, 2847, 2848, 2851, 2854, 2856, 2859,
                     2866, 2867, 2873, 2877, 2878, 2879, 2883, 2888, 2889, 2892, 2899, 2903, 2904, 2905, 2918, 2921,
                     2928, 2930, 2938, 2942, 2945, 2946, 2947, 2949, 2951, 2952, 2963, 2965, 2971, 2972, 2978, 2981,
                     2985, 2991, 2996, 2997, 2998, 3001, 3004, 3005, 3009, 3013, 3015, 3019, 3020, 3024, 3043, 3045,
                     3051, 3054, 3057, 3060, 3065, 3066, 3069, 3070, 3071, 3072, 3074, 3082, 3083, 3089, 3091, 3104,
                     3106, 3112, 3115, 3116, 3120, 3123, 3127, 3128, 3133, 3136, 3138, 3144, 3150, 3152, 3155, 3166,
                     3167, 3171, 3173, 3176, 3182, 3183, 3188, 3190, 3191, 3192, 3202, 3203, 3206, 3207, 3212, 3216,
                     3218, 3223, 3226, 3235, 3247, 3253, 3258, 3259, 3260, 3261, 3265, 3266, 3272, 3276, 3278, 3279,
                     3281, 3283, 3293, 3295, 3301, 3309, 3313, 3315, 3316, 3321, 3326, 3330, 3339, 3341, 3344, 3349,
                     3354, 3356, 3357, 3359, 3363, 3366, 3367, 3368, 3370, 3371, 3373, 3377, 3379, 3381, 3382, 3383,
                     3384, 3391, 3392, 3397, 3402, 3403, 3410, 3412, 3413, 3414, 3418, 3422, 3423, 3425, 3431, 3444,
                     3445, 3446, 3453, 3454, 3462, 3464, 3466, 3468, 3475, 3476, 3480, 3487, 3488, 3490, 3497, 3509,
                     3515, 3517, 3518, 3522, 3523, 3525, 3528, 3530, 3531, 3534, 3538, 3547, 3548, 3554, 3559, 3567,
                     3574, 3579, 3592, 3595, 3596, 3597, 3599, 3614, 3617, 3620, 3622, 3623, 3624, 3625, 3635, 3637,
                     3638, 3640, 3641, 3643, 3644, 3645, 3650, 3653, 3656, 3662, 3663, 3667, 3670, 3686, 3692, 3695,
                     3697, 3706, 3707, 3709, 3710, 3712, 3716, 3717, 3719, 3727, 3730, 3731, 3732, 3739, 3740, 3751,
                     3756, 3762, 3765, 3767, 3769, 3775, 3779, 3785, 3786, 3787, 3792, 3796, 3798, 3799, 3801, 3802,
                     3812, 3813, 3814, 3817, 3821, 3824, 3827, 3831, 3835, 3837, 3838, 3840, 3843, 3849, 3852, 3853,
                     3862, 3864, 3865, 3867, 3869, 3870, 3873, 3878, 3880, 3891, 3895, 3898, 3900, 3901, 3902, 3910,
                     3913, 3916, 3921, 3922, 3923, 3924, 3926, 3928, 3929, 3938, 3939, 3940, 3944, 3947, 3948, 3951,
                     3956, 3957, 3961, 3964, 3965, 3969, 3974, 3975, 3977, 3983, 3988, 3989, 3990, 3991, 3992, 3993,
                     3996, 4008, 4011, 4015, 4017, 4024, 4025, 4028, 4029, 4030, 4032, 4038, 4043, 4044, 4045, 4048,
                     4051, 4054, 4058, 4065, 4072, 4076, 4081, 4082, 4086, 4088, 4089, 4090, 4092, 4097, 4100, 4105,
                     4110, 4111, 4113, 4114, 4116, 4117, 4119, 4121, 4125, 4127, 4128, 4136, 4143, 4146, 4147, 4149,
                     4151, 4153, 4154, 4155, 4167, 4171, 4174, 4175, 4176, 4177, 4178, 4179, 4180, 4181, 4184, 4185,
                     4194, 4201, 4204, 4207, 4210, 4211, 4212, 4214, 4217, 4218, 4222, 4234, 4238, 4239, 4243, 4245,
                     4251, 4252, 4253, 4254, 4256, 4261, 4262, 4263, 4264, 4268, 4271, 4272, 4280, 4282, 4286, 4288,
                     4294, 4295, 4298, 4306, 4312, 4313, 4314, 4316, 4317, 4318, 4322, 4323, 4324, 4325, 4326, 4328,
                     4334, 4338, 4339, 4345, 4350, 4356, 4358, 4359, 4364, 4366, 4369, 4373, 4374, 4376, 4383, 4387,
                     4389, 4391, 4399, 4400, 4411, 4417, 4422, 4424, 4426, 4432, 4435, 4443, 4447, 4450, 4455, 4456,
                     4460, 4463, 4464, 4465, 4466, 4467, 4473, 4474, 4481, 4484, 4485, 4486, 4488, 4490, 4494, 4502,
                     4508, 4509, 4516, 4517, 4520, 4521, 4522, 4525, 4526, 4528, 4529, 4533, 4534, 4535, 4543, 4545,
                     4551, 4559, 4561, 4564, 4566, 4568, 4570, 4573, 4576, 4578, 4581, 4582, 4585, 4588, 4590, 4592,
                     4595, 4597, 4600, 4603, 4608, 4612, 4616, 4617, 4629, 4633, 4636, 4638, 4639, 4642, 4645, 4648,
                     4649, 4653, 4654, 4657, 4661, 4663, 4665, 4670, 4672, 4681, 4684, 4685, 4687, 4688, 4699, 4701,
                     4703, 4704, 4708, 4711, 4719, 4720, 4721, 4724, 4727, 4728, 4730, 4733, 4736, 4740, 4748, 4752,
                     4753, 4754, 4759, 4763, 4766, 4768, 4771, 4772, 4787, 4789, 4791, 4793, 4797, 4802, 4806, 4815,
                     4818, 4822, 4823, 4828, 4830, 4831, 4834, 4840, 4841, 4849, 4860, 4862, 4863, 4864, 4867, 4870,
                     4882, 4884, 4886, 4892, 4893, 4905, 4906, 4910, 4915, 4918, 4919, 4925, 4927, 4929, 4930, 4931,
                     4934, 4935, 4936, 4939, 4941, 4957, 4961, 4965, 4981, 4988, 4994, 4997, 4999, 5005, 5006, 5009,
                     5010, 5014, 5015, 5017, 5022, 5026, 5033, 5035, 5041, 5042, 5047, 5059, 5061, 5062, 5063, 5064,
                     5069, 5081, 5083, 5088, 5090, 5091, 5096, 5099, 5102, 5103, 5116, 5128, 5130, 5131, 5141, 5143,
                     5144, 5157, 5162, 5163, 5166, 5169, 5170, 5172, 5179, 5182, 5183, 5185, 5188, 5189, 5190, 5196,
                     5197, 5203, 5205, 5216, 5217, 5218, 5223, 5228, 5231, 5232, 5235, 5239, 5244, 5247, 5250, 5255,
                     5258, 5262, 5267, 5274, 5282, 5285, 5286, 5298, 5302, 5303, 5311, 5317, 5323, 5324, 5325, 5330,
                     5331, 5332, 5334, 5337, 5338, 5341, 5344, 5345, 5347, 5354, 5357, 5361, 5368, 5371, 5372, 5373,
                     5384, 5386, 5387, 5388, 5390, 5392, 5394, 5398, 5399, 5404, 5406, 5408, 5410, 5420, 5424, 5426,
                     5427, 5430, 5431, 5434, 5443, 5446, 5447, 5449, 5452, 5456, 5459, 5472, 5474, 5475, 5480, 5484,
                     5486, 5488, 5489, 5493, 5498, 5502, 5503, 5509, 5510, 5514, 5515, 5523, 5524, 5531, 5533, 5535,
                     5538, 5555, 5556, 5559, 5568, 5571, 5578, 5581, 5582, 5583, 5592, 5593, 5595, 5597, 5601, 5603,
                     5605, 5614, 5615, 5622, 5623, 5627, 5631, 5633, 5634, 5636, 5640, 5641, 5649, 5653, 5656, 5660,
                     5661, 5664, 5667, 5670, 5673, 5678, 5679, 5682, 5683, 5690, 5694, 5697, 5698, 5700, 5701, 5703,
                     5704, 5707, 5710, 5715, 5717, 5721, 5723, 5725, 5728, 5732, 5733, 5735, 5737, 5740, 5741, 5743,
                     5752, 5753, 5754, 5756, 5761, 5763, 5765, 5769, 5774, 5775, 5778, 5780, 5781, 5788, 5789, 5793,
                     5795, 5797, 5798, 5800, 5802, 5805, 5810, 5816, 5824, 5826, 5831, 5836, 5838, 5848, 5849, 5854,
                     5857, 5859, 5869, 5870, 5875, 5877, 5880, 5882, 5887, 5892, 5894, 5895, 5897, 5902, 5904, 5906,
                     5911, 5913, 5918, 5919, 5920, 5926, 5929, 5931, 5936, 5938, 5942, 5943, 5947, 5955, 5956, 5963,
                     5968, 5970, 5974, 5976, 5979, 5981, 5986, 5990, 5993, 5997, 6000, 6017, 6020, 6021, 6025, 6029,
                     6034, 6037, 6039, 6041, 6049, 6050, 6057, 6062, 6067, 6068, 6069, 6070, 6071, 6072, 6074, 6076,
                     6079, 6080, 6083, 6085, 6087, 6088, 6095, 6096, 6097, 6099, 6101, 6102, 6103, 6105, 6107, 6108,
                     6120, 6125, 6129, 6131, 6133, 6134, 6136, 6139, 6140, 6146, 6147, 6149, 6152, 6156, 6159, 6160,
                     6161, 6162, 6163, 6165, 6167, 6171, 6172, 6177, 6179, 6181, 6184, 6185, 6189, 6192, 6193, 6194,
                     6195, 6197, 6198, 6199, 6202, 6206, 6208, 6209, 6210, 6211, 6215, 6218, 6219, 6221, 6234, 6237,
                     6238, 6240, 6241, 6242, 6243, 6244, 6246, 6247, 6248, 6252, 6254, 6256, 6257, 6258, 6260, 6261,
                     6268, 6269, 6271, 6272, 6275, 6277, 6278, 6284, 6285, 6302, 6303, 6307, 6314, 6317, 6322, 6323,
                     6324, 6325, 6326, 6328, 6332, 6345, 6346, 6348, 6351, 6360, 6361, 6363, 6370, 6374, 6375, 6377,
                     6385, 6387, 6388, 6392, 6397, 6398, 6400, 6401, 6405, 6407, 6412, 6413, 6414, 6417, 6418, 6421,
                     6428, 6434, 6438, 6439, 6441, 6443, 6444, 6450, 6454, 6455, 6467, 6468, 6469, 6471, 6474, 6476,
                     6481, 6483, 6486, 6489, 6490, 6491, 6493, 6499, 6500, 6503, 6506, 6510, 6511, 6512, 6513, 6516,
                     6519, 6520, 6523, 6525, 6531, 6534, 6535, 6537, 6540, 6541, 6542, 6547, 6549, 6551, 6553, 6557,
                     6558, 6561, 6562, 6564, 6565, 6569, 6572, 6573, 6577, 6579, 6581, 6584, 6585, 6588, 6591, 6593,
                     6596, 6597, 6598, 6604, 6605, 6607, 6609, 6610, 6611, 6614, 6615, 6616, 6622, 6624, 6625, 6626,
                     6627, 6631, 6634, 6635, 6638, 6647, 6654, 6655, 6657, 6659, 6661, 6663, 6664, 6667, 6671, 6675,
                     6679, 6683, 6686, 6690, 6691, 6693, 6694, 6699, 6711, 6715, 6721, 6724, 6727, 6728, 6733, 6734,
                     6737, 6738, 6739, 6746, 6752, 6755, 6756, 6763, 6766, 6771, 6772, 6776, 6779, 6780, 6781, 6782,
                     6784, 6786, 6791, 6796, 6802, 6805, 6807, 6808, 6809, 6811, 6813, 6822, 6824, 6825, 6828, 6829,
                     6832, 6836, 6837, 6842, 6845, 6848, 6849, 6851, 6852, 6854, 6857, 6861, 6864, 6867, 6869, 6877,
                     6878, 6881, 6890, 6892, 6894, 6900, 6906, 6908, 6911, 6912, 6917, 6918, 6921, 6922, 6925, 6926,
                     6929, 6932, 6936, 6941, 6943, 6945, 6946, 6948, 6953, 6955, 6957, 6960, 6963, 6967, 6980, 6984,
                     6986, 6989, 6992, 6997, 6999, 7000, 7003, 7004, 7005, 7008, 7013, 7016, 7023, 7030, 7033, 7036,
                     7037, 7039, 7040, 7041, 7046, 7051, 7058, 7059, 7061, 7067, 7068, 7070, 7072, 7073, 7074, 7075,
                     7079, 7082, 7083, 7084, 7086, 7087, 7089, 7093, 7097, 7099, 7109, 7110, 7112, 7114, 7120, 7122,
                     7123, 7125, 7131, 7137, 7142, 7148, 7149, 7150, 7156, 7158, 7160, 7164, 7168, 7172, 7175, 7177,
                     7184, 7187, 7188, 7198], 4110: [4407, 6488],
                15: [61, 435, 644, 753, 910, 958, 1045, 1095, 1243, 1253, 1320, 1868, 2313, 2570, 2626, 2749, 2998,
                     3066, 3266, 3622, 3640, 4087, 4119, 4153, 4252, 5096, 5280, 5642, 5756, 5964, 6511, 6648, 6824,
                     6936, 7089, 7093],
                4112: [4168, 4218, 5088, 5130, 5261, 5678, 6194, 6360, 6603, 6617, 6738, 6776, 6945, 7094, 7172],
                4116: [4218, 5754],
                22: [582, 997, 1328, 2350, 2500, 2778, 2847, 3066, 5489, 5754, 6127, 6562, 7004, 7172],
                5465: [5754, 6657], 4123: [5282], 4124: [5498], 688: [4163],
                35: [340, 730, 801, 1443, 2630, 3609, 3765, 5078, 5163, 6390, 7101],
                38: [42, 67, 70, 74, 111, 114, 122, 177, 195, 233, 355, 393, 421, 453, 456, 459, 461, 475, 484, 502,
                     519, 531, 686, 698, 718, 720, 814, 850, 860, 869, 918, 957, 972, 994, 1003, 1012, 1014, 1026, 1038,
                     1089, 1096, 1110, 1153, 1192, 1208, 1219, 1255, 1277, 1288, 1309, 1328, 1395, 1402, 1455, 1481,
                     1482, 1489, 1506, 1522, 1534, 1567, 1593, 1620, 1701, 1751, 1786, 1834, 1837, 1852, 1864, 1873,
                     1918, 1919, 1930, 1965, 1966, 1987, 2005, 2041, 2044, 2076, 2094, 2125, 2141, 2158, 2234, 2238,
                     2273, 2274, 2286, 2302, 2319, 2329, 2333, 2350, 2351, 2376, 2434, 2473, 2500, 2526, 2544, 2553,
                     2643, 2659, 2673, 2683, 2686, 2695, 2707, 2753, 2762, 2783, 2789, 2813, 2848, 2852, 2861, 2886,
                     2936, 2938, 2939, 2962, 2975, 3003, 3087, 3112, 3146, 3179, 3184, 3209, 3210, 3220, 3267, 3278,
                     3280, 3287, 3324, 3342, 3347, 3354, 3384, 3398, 3399, 3424, 3430, 3446, 3454, 3467, 3477, 3478,
                     3495, 3500, 3506, 3550, 3618, 3635, 3650, 3671, 3700, 3773, 3852, 3873, 3879, 3915, 3928, 3956,
                     3978, 3980, 3996, 4002, 4004, 4074, 4097, 4111, 4155, 4157, 4168, 4195, 4271, 4288, 4309, 4312,
                     4355, 4369, 4383, 4494, 4539, 4573, 4576, 4582, 4616, 4676, 4680, 4686, 4708, 4724, 4771, 4789,
                     4859, 4932, 4943, 4951, 4952, 4969, 5040, 5062, 5088, 5130, 5139, 5187, 5190, 5224, 5232, 5261,
                     5314, 5329, 5371, 5413, 5440, 5466, 5468, 5475, 5483, 5485, 5488, 5495, 5498, 5525, 5536, 5537,
                     5538, 5592, 5609, 5620, 5655, 5656, 5698, 5714, 5727, 5754, 5770, 5792, 5879, 5904, 5907, 5908,
                     5913, 5923, 5938, 5961, 5966, 6008, 6039, 6124, 6132, 6229, 6236, 6266, 6293, 6302, 6339, 6346,
                     6356, 6360, 6373, 6385, 6415, 6424, 6427, 6455, 6496, 6566, 6578, 6663, 6675, 6687, 6709, 6738,
                     6750, 6752, 6754, 6755, 6762, 6781, 6796, 6812, 6853, 6905, 6907, 6915, 6916, 6921, 6923, 6941,
                     6942, 7003, 7049, 7055, 7086, 7093, 7094, 7137, 7166, 7172, 7192], 4138: [4184, 5078],
                4139: [5078, 7101], 4140: [4573, 5281, 5521, 5540, 5887, 6425, 6487, 6744, 6907],
                4141: [5468, 5698, 7094, 7172], 47: [6360],
                4145: [4195, 4218, 4453, 4676, 4789, 4909, 5476, 5659, 5754, 5904, 6236, 6557, 6802, 6905, 7049, 7192],
                50: [119, 256, 516, 972, 1339, 1481, 1857, 2141, 2659, 3066, 3922, 4218, 4369, 4622, 4687, 4918, 5432,
                     5756, 5857, 6185, 7004, 7093, 7172], 51: [67, 3136, 5102, 6957], 4149: [4704, 5756, 7004],
                4150: [4195, 4355, 4573, 4792, 4826, 4918, 5078, 5261, 5468, 5537, 5804, 5961, 6037, 6039, 6293, 6425,
                       6488, 6517, 6684, 6907, 6923, 7002, 7101], 4152: [5098], 58: [2338],
                59: [109, 1732, 2376, 2847, 3066, 3374, 3671, 4072, 4163, 4288, 4789, 5098, 5475, 5961, 6935, 7035],
                65: [185, 462, 1033, 1781, 2373, 4239, 4603, 5078, 5796, 6511, 6633, 6776, 6848], 66: [5754],
                69: [6905], 73: [4918], 74: [5314], 77: [1123, 1918, 2302, 5432, 5609, 6021],
                79: [111, 420, 456, 531, 720, 869, 926, 932, 946, 972, 1110, 1132, 1288, 1339, 1464, 1827, 1864, 1919,
                     2104, 2158, 2451, 2526, 2623, 2664, 2746, 2783, 2813, 2938, 3157, 3200, 3317, 3529, 3650, 3668,
                     3912, 3929, 4168, 4195, 4218, 4673, 4675, 5078, 5130, 5179, 5187, 5392, 5468, 5536, 5655, 5698,
                     5714, 5912, 5954, 5966, 6124, 6496, 6657, 6816, 6818, 6841, 6919, 6942, 7049, 7192],
                4178: [4190, 4288, 4312, 4318, 4369, 4859, 4943, 4991, 5088, 5130, 5472, 5540, 5609, 5633, 5656, 5698,
                       5714, 5741, 5743, 5882, 6511, 6776, 6796, 6921, 6942, 7093, 7112, 7137, 7172, 7192],
                4179: [7192], 84: [5078], 85: [6293], 86: [808, 1023, 3131, 3628, 4918], 87: [4918],
                90: [531, 1061, 1110, 1153, 1192, 1219, 1328, 1571, 1852, 1919, 2094, 2141, 2238, 2274, 2376, 2457,
                     2473, 2762, 2847, 3087, 3131, 3384, 3628, 3671, 3852, 3873, 3958, 4097, 4218, 4355, 4608, 4676,
                     4869, 4909, 4932, 4951, 5282, 5314, 5440, 5714, 6360, 6738, 6841, 6853, 6905, 6942, 7003, 7093,
                     7192], 4187: [4239, 5254, 5344, 5537, 5609, 5706, 6360, 6907, 7002], 4188: [4918, 5069, 5756],
                94: [720, 2376, 5468],
                4191: [4494, 4576, 4722, 5282, 5311, 5438, 5468, 5627, 5633, 5653, 5659, 5754, 5791, 6434, 6491, 6953],
                101: [421, 720, 850, 903, 972, 1137, 1481, 1571, 1852, 1919, 2141, 2158, 2238, 2376, 2459, 2686, 2772,
                      2783, 2848, 3066, 3311, 3504, 3904, 3951, 4074, 4168, 4218, 4288, 4369, 4690, 4789, 4857, 5098,
                      5656, 5659, 5754, 5792, 5833, 5904, 6236, 6796, 6945, 7000, 7137, 7172, 7198], 4198: [5754],
                4200: [6236], 4202: [4789, 4932, 5754, 5792, 5961, 6675, 7093], 4203: [5754],
                4204: [4218, 5754, 5904, 6657, 6905], 4208: [4218, 4364, 5498, 5904, 5954], 117: [1208, 2302, 6496],
                118: [119, 189, 212, 224, 340, 357, 416, 441, 478, 482, 484, 527, 537, 578, 579, 662, 730, 775, 801,
                      860, 891, 912, 921, 1026, 1135, 1208, 1268, 1277, 1354, 1443, 1455, 1464, 1558, 1573, 1634, 1806,
                      1811, 1827, 1839, 1900, 1918, 1924, 1965, 2004, 2020, 2034, 2141, 2189, 2297, 2302, 2412, 2526,
                      2564, 2630, 2639, 2641, 2677, 2703, 2744, 2746, 2789, 2794, 2857, 2906, 2936, 3028, 3095, 3102,
                      3112, 3164, 3180, 3184, 3231, 3398, 3519, 3550, 3609, 3612, 3614, 3705, 3765, 3809, 3824, 3922,
                      3928, 3987, 4083, 4100, 4115, 4137, 4168, 4196, 4265, 4284, 4304, 4367, 4398, 4436, 4438, 4503,
                      4569, 4573, 4574, 4603, 4773, 4826, 4848, 4964, 5040, 5078, 5139, 5145, 5163, 5261, 5344, 5432,
                      5453, 5569, 5803, 5916, 6037, 6274, 6373, 6390, 6425, 6470, 6488, 6581, 6594, 6600, 6633, 6656,
                      6663, 6725, 6731, 6924, 6952, 7002, 7076, 7101, 7103],
                4215: [4217, 4218, 4256, 4265, 4271, 4280, 4284, 4309, 4312, 4318, 4338, 4355, 4369, 4438, 4539, 4573,
                       4603, 4618, 4621, 4640, 4673, 4689, 4698, 4766, 4788, 4796, 4801, 4804, 4821, 4826, 4850, 4880,
                       4918, 4937, 4952, 4978, 4991, 5023, 5028, 5031, 5078, 5098, 5130, 5150, 5170, 5201, 5209, 5211,
                       5245, 5271, 5274, 5281, 5282, 5312, 5332, 5355, 5362, 5383, 5387, 5392, 5437, 5440, 5454, 5459,
                       5468, 5473, 5483, 5495, 5498, 5502, 5521, 5537, 5540, 5565, 5568, 5569, 5577, 5596, 5655, 5669,
                       5697, 5698, 5796, 5800, 5825, 5856, 5883, 5899, 5901, 5904, 5908, 5912, 5913, 5916, 5923, 5949,
                       5954, 5966, 5969, 5978, 5979, 5982, 5995, 6000, 6014, 6031, 6039, 6059, 6127, 6165, 6172, 6197,
                       6202, 6212, 6229, 6247, 6252, 6267, 6277, 6293, 6317, 6327, 6338, 6343, 6349, 6355, 6357, 6427,
                       6442, 6445, 6446, 6455, 6465, 6476, 6493, 6496, 6509, 6548, 6558, 6566, 6589, 6600, 6684, 6687,
                       6689, 6725, 6738, 6740, 6741, 6744, 6760, 6794, 6798, 6799, 6810, 6811, 6812, 6815, 6818, 6823,
                       6826, 6828, 6841, 6846, 6872, 6873, 6901, 6907, 6910, 6919, 6941, 6945, 6962, 6995, 7003, 7006,
                       7019, 7045, 7049, 7055, 7069, 7071, 7073, 7079, 7083, 7088, 7094, 7101, 7110, 7118, 7123, 7141,
                       7154, 7160, 7162, 7167, 7172, 7181, 7192, 7199],
                121: [435, 1855, 2044, 2899, 4218, 4576, 4608, 4789, 5282, 5754, 5792, 5904, 6490, 6657, 7192],
                4220: [4573, 4789, 5088, 5098, 5130, 5347, 5488, 5498, 5540, 5678, 5773, 5791, 5801, 6127, 6171, 6194,
                       6197, 6252, 6511, 6562, 6572, 6617, 6738, 6833, 6905, 7064, 7079, 7086, 7094, 7192],
                128: [531, 869, 1096, 1153, 1192, 1328, 1522, 1572, 1593, 1701, 1751, 1852, 1919, 2141, 2274, 2302,
                      2376, 2783, 2852, 3210, 3287, 3650, 3852, 4195, 4218, 4271, 4355, 4573, 4676, 4951, 5130, 5440,
                      5468, 5498, 5525, 5714, 5754, 6124, 6236, 6360, 6754, 6757, 6905, 6921, 6942, 6972, 7003, 7049,
                      7094, 7111], 4800: [5098, 5130, 5468, 5754, 6336, 6657, 6919, 7172, 7192],
                131: [180, 221, 233, 355, 453, 458, 464, 516, 531, 582, 612, 620, 700, 718, 720, 753, 762, 805, 806,
                      810, 834, 841, 850, 921, 926, 940, 957, 972, 980, 991, 998, 1000, 1012, 1015, 1031, 1061, 1096,
                      1110, 1159, 1193, 1195, 1213, 1279, 1292, 1300, 1309, 1343, 1357, 1402, 1403, 1481, 1502, 1504,
                      1550, 1571, 1587, 1588, 1698, 1701, 1719, 1751, 1799, 1852, 1858, 1919, 1985, 2024, 2094, 2129,
                      2141, 2152, 2158, 2181, 2251, 2302, 2307, 2315, 2319, 2334, 2350, 2351, 2376, 2440, 2457, 2459,
                      2465, 2473, 2481, 2486, 2500, 2504, 2519, 2541, 2544, 2579, 2602, 2625, 2643, 2658, 2659, 2686,
                      2747, 2774, 2778, 2783, 2813, 2847, 2858, 2871, 2899, 2912, 2930, 2934, 2936, 2942, 2958, 3066,
                      3112, 3131, 3157, 3199, 3209, 3313, 3323, 3339, 3347, 3351, 3354, 3378, 3446, 3461, 3466, 3467,
                      3493, 3518, 3534, 3593, 3622, 3626, 3628, 3667, 3671, 3752, 3761, 3773, 3775, 3786, 3852, 3879,
                      3904, 3924, 3928, 3946, 3951, 3978, 4006, 4037, 4074, 4082, 4117, 4153, 4154, 4161, 4163, 4189,
                      4190, 4218, 4309, 4312, 4338, 4355, 4462, 4553, 4576, 4608, 4672, 4673, 4677, 4686, 4690, 4711,
                      4759, 4789, 4795, 4826, 4869, 4932, 4936, 4951, 4980, 5022, 5032, 5040, 5062, 5088, 5098, 5102,
                      5130, 5197, 5229, 5232, 5251, 5260, 5261, 5282, 5311, 5329, 5341, 5347, 5395, 5438, 5440, 5466,
                      5468, 5475, 5483, 5485, 5488, 5489, 5498, 5540, 5592, 5653, 5659, 5678, 5698, 5732, 5754, 5762,
                      5791, 5879, 5887, 5899, 5904, 5913, 5961, 6017, 6038, 6039, 6071, 6194, 6229, 6237, 6252, 6257,
                      6292, 6346, 6360, 6388, 6407, 6410, 6452, 6562, 6603, 6657, 6675, 6684, 6724, 6725, 6733, 6738,
                      6771, 6776, 6788, 6796, 6807, 6841, 6845, 6875, 6905, 6907, 6916, 6921, 6941, 6942, 6945, 6991,
                      6997, 7003, 7064, 7067, 7079, 7086, 7088, 7093, 7110, 7137, 7160, 7172, 7192, 7199],
                4230: [4576, 5498, 6360], 5620: [6360],
                136: [421, 2141, 2274, 2351, 2376, 3287, 3671, 3873, 5468, 5773, 5904, 6247, 6907],
                4233: [4640, 4909, 5098, 5314, 5483, 5498, 5653, 5754, 5792, 5831, 5904, 6236, 6935], 4234: [6360],
                139: [185, 255, 264, 284, 462, 464, 500, 597, 612, 622, 700, 753, 774, 808, 836, 1051, 1248, 1258, 1359,
                      1510, 1550, 1614, 1735, 1787, 1828, 1868, 2032, 2082, 2398, 2440, 2521, 2551, 2709, 2858, 2959,
                      2963, 2978, 3144, 3176, 3313, 3634, 3643, 3902, 3931, 3989, 4113, 4125, 4163, 4294, 4316, 4396,
                      4407, 4465, 4485, 4526, 4551, 4576, 4595, 4598, 4635, 4687, 4701, 4711, 4735, 4740, 4759, 4782,
                      4906, 5001, 5022, 5063, 5143, 5218, 5353, 5398, 5410, 5434, 5463, 5489, 5545, 5559, 5605, 5715,
                      5793, 5795, 5804, 5823, 5824, 5857, 5903, 5954, 5970, 5981, 6037, 6084, 6111, 6169, 6185, 6293,
                      6406, 6571, 6808, 6813, 6824, 6848, 6884, 7033, 7046, 7059, 7086, 7172],
                140: [151, 197, 202, 203, 208, 211, 225, 233, 246, 300, 314, 322, 333, 375, 396, 421, 422, 444, 456,
                      457, 459, 460, 461, 467, 472, 475, 492, 496, 502, 512, 519, 524, 545, 557, 566, 582, 612, 618,
                      641, 651, 653, 686, 702, 703, 708, 743, 756, 760, 762, 770, 778, 793, 796, 798, 806, 819, 829,
                      834, 875, 885, 888, 890, 940, 946, 955, 967, 976, 988, 991, 997, 1003, 1012, 1014, 1022, 1024,
                      1025, 1040, 1057, 1062, 1071, 1073, 1082, 1107, 1110, 1119, 1121, 1131, 1134, 1144, 1150, 1172,
                      1175, 1179, 1192, 1204, 1213, 1221, 1222, 1247, 1274, 1301, 1318, 1321, 1328, 1332, 1348, 1372,
                      1402, 1405, 1467, 1471, 1482, 1502, 1504, 1508, 1516, 1522, 1552, 1564, 1582, 1583, 1587, 1588,
                      1590, 1593, 1607, 1610, 1616, 1620, 1680, 1690, 1702, 1706, 1715, 1720, 1730, 1732, 1745, 1751,
                      1763, 1773, 1775, 1779, 1790, 1831, 1848, 1858, 1862, 1869, 1873, 1878, 1884, 1890, 1901, 1911,
                      1930, 1931, 1954, 1964, 1966, 1983, 1987, 2005, 2010, 2019, 2024, 2025, 2028, 2044, 2058, 2062,
                      2069, 2092, 2111, 2113, 2123, 2150, 2159, 2167, 2186, 2234, 2262, 2265, 2269, 2272, 2274, 2294,
                      2304, 2307, 2316, 2329, 2332, 2333, 2337, 2338, 2342, 2350, 2351, 2353, 2360, 2362, 2367, 2369,
                      2376, 2391, 2408, 2416, 2418, 2423, 2425, 2427, 2431, 2434, 2446, 2448, 2451, 2453, 2455, 2480,
                      2481, 2491, 2519, 2533, 2537, 2541, 2563, 2573, 2575, 2579, 2588, 2597, 2598, 2611, 2612, 2621,
                      2637, 2643, 2650, 2662, 2673, 2680, 2682, 2686, 2695, 2697, 2700, 2716, 2734, 2740, 2747, 2753,
                      2762, 2769, 2780, 2783, 2804, 2818, 2836, 2852, 2860, 2862, 2871, 2899, 2900, 2908, 2912, 2919,
                      2927, 2936, 2939, 2947, 2949, 2956, 2962, 2975, 2986, 2989, 2999, 3003, 3005, 3006, 3026, 3027,
                      3031, 3041, 3042, 3050, 3064, 3074, 3087, 3090, 3098, 3109, 3119, 3162, 3179, 3191, 3210, 3217,
                      3228, 3232, 3237, 3254, 3257, 3267, 3270, 3278, 3287, 3288, 3301, 3305, 3307, 3310, 3311, 3315,
                      3324, 3325, 3332, 3335, 3340, 3347, 3349, 3369, 3384, 3387, 3388, 3395, 3399, 3408, 3424, 3426,
                      3429, 3434, 3435, 3436, 3454, 3458, 3466, 3477, 3478, 3481, 3485, 3505, 3506, 3511, 3515, 3517,
                      3520, 3526, 3544, 3550, 3560, 3561, 3569, 3573, 3579, 3589, 3591, 3602, 3604, 3608, 3618, 3635,
                      3647, 3650, 3668, 3670, 3671, 3676, 3678, 3688, 3692, 3700, 3707, 3711, 3713, 3717, 3731, 3744,
                      3747, 3757, 3760, 3773, 3795, 3797, 3808, 3829, 3844, 3850, 3852, 3873, 3879, 3890, 3904, 3915,
                      3934, 3946, 3951, 3960, 3980, 3981, 4046, 4050, 4053, 4057, 4067, 4068, 4071, 4072, 4074, 4075,
                      4082, 4089, 4097, 4111, 4148, 4156, 4157, 4161, 4167, 4189, 4192, 4195, 4211, 4216, 4217, 4218,
                      4224, 4225, 4227, 4278, 4285, 4296, 4346, 4355, 4360, 4364, 4370, 4405, 4439, 4451, 4453, 4457,
                      4515, 4537, 4539, 4558, 4560, 4573, 4619, 4640, 4666, 4671, 4676, 4680, 4690, 4709, 4724, 4750,
                      4763, 4771, 4789, 4813, 4826, 4833, 4836, 4859, 4861, 4863, 4867, 4874, 4885, 4889, 4909, 4912,
                      4920, 4922, 4932, 4937, 4943, 4951, 4967, 4980, 4993, 5013, 5020, 5025, 5028, 5032, 5036, 5040,
                      5058, 5065, 5068, 5076, 5079, 5089, 5092, 5098, 5106, 5132, 5140, 5146, 5148, 5150, 5170, 5177,
                      5182, 5187, 5213, 5220, 5223, 5227, 5229, 5230, 5234, 5252, 5269, 5279, 5282, 5289, 5299, 5314,
                      5321, 5322, 5326, 5329, 5334, 5344, 5370, 5371, 5399, 5409, 5411, 5413, 5418, 5423, 5438, 5440,
                      5442, 5448, 5454, 5464, 5473, 5483, 5491, 5498, 5521, 5525, 5534, 5536, 5537, 5540, 5543, 5549,
                      5554, 5565, 5579, 5584, 5585, 5587, 5596, 5609, 5620, 5627, 5632, 5655, 5656, 5660, 5667, 5674,
                      5681, 5699, 5706, 5714, 5724, 5727, 5736, 5748, 5773, 5781, 5791, 5792, 5803, 5804, 5807, 5819,
                      5827, 5839, 5851, 5863, 5871, 5886, 5897, 5899, 5901, 5904, 5907, 5908, 5913, 5921, 5923, 5944,
                      5951, 5955, 5971, 5979, 5988, 5999, 6012, 6031, 6048, 6076, 6077, 6086, 6099, 6122, 6124, 6127,
                      6135, 6136, 6137, 6139, 6143, 6165, 6180, 6199, 6213, 6216, 6227, 6236, 6242, 6247, 6252, 6259,
                      6267, 6268, 6269, 6279, 6292, 6293, 6296, 6298, 6300, 6301, 6303, 6313, 6317, 6319, 6325, 6339,
                      6354, 6356, 6360, 6362, 6363, 6370, 6383, 6385, 6403, 6407, 6415, 6418, 6440, 6442, 6448, 6455,
                      6456, 6458, 6459, 6460, 6468, 6480, 6482, 6487, 6490, 6491, 6507, 6509, 6560, 6562, 6563, 6566,
                      6578, 6580, 6611, 6618, 6622, 6642, 6651, 6654, 6657, 6662, 6666, 6671, 6672, 6673, 6684, 6687,
                      6692, 6702, 6709, 6729, 6743, 6752, 6754, 6758, 6788, 6798, 6799, 6802, 6804, 6807, 6821, 6826,
                      6833, 6839, 6841, 6844, 6846, 6853, 6864, 6870, 6879, 6905, 6907, 6915, 6916, 6918, 6920, 6923,
                      6929, 6935, 6942, 6955, 6959, 6961, 6972, 6979, 6983, 6990, 6991, 7000, 7017, 7019, 7034, 7035,
                      7040, 7044, 7049, 7063, 7068, 7074, 7080, 7086, 7105, 7112, 7158, 7161, 7162, 7168, 7170, 7171,
                      7179, 7189, 7192, 7196, 7199],
                4237: [4271, 4309, 4312, 4355, 4370, 4383, 4462, 4494, 4539, 4553, 4573, 4673, 4690, 4724, 4789, 4804,
                       4850, 4857, 4932, 4951, 4952, 4980, 4993, 5032, 5040, 5064, 5098, 5102, 5130, 5139, 5140, 5182,
                       5209, 5224, 5261, 5314, 5324, 5329, 5371, 5392, 5454, 5455, 5466, 5468, 5475, 5483, 5485, 5493,
                       5495, 5498, 5499, 5525, 5534, 5540, 5565, 5592, 5609, 5619, 5620, 5655, 5659, 5714, 5732, 5748,
                       5754, 5770, 5773, 5775, 5791, 5792, 5831, 5878, 5889, 5899, 5904, 5908, 5923, 5961, 5979, 6000,
                       6036, 6039, 6071, 6086, 6127, 6172, 6194, 6229, 6236, 6292, 6327, 6339, 6360, 6383, 6385, 6388,
                       6407, 6415, 6427, 6490, 6491, 6537, 6551, 6562, 6566, 6589, 6590, 6657, 6684, 6689, 6697, 6738,
                       6742, 6743, 6754, 6788, 6799, 6804, 6819, 6839, 6841, 6846, 6905, 6907, 6919, 6921, 6935, 6945,
                       6990, 6991, 7000, 7035, 7049, 7067, 7071, 7088, 7094, 7113, 7118, 7137, 7171, 7172, 7181, 7192,
                       7199],
                4244: [4271, 4284, 4304, 4330, 4465, 4477, 4479, 4539, 4573, 4616, 4783, 4804, 4880, 4917, 4939, 5060,
                       5091, 5105, 5130, 5145, 5187, 5209, 5218, 5249, 5355, 5411, 5464, 5466, 5468, 5477, 5488, 5509,
                       5525, 5561, 5572, 5596, 5736, 5741, 5754, 5775, 5776, 5791, 5808, 5856, 5900, 5901, 5912, 5923,
                       5954, 6204, 6236, 6293, 6313, 6337, 6356, 6434, 6515, 6548, 6572, 6711, 6754, 6757, 6776, 6791,
                       6833, 6879, 6898, 6919, 6920, 6923, 6942, 6977, 6991, 7064, 7074, 7105, 7111, 7176, 7199],
                4245: [4271, 4312, 4355, 4369, 4539, 4573, 4730, 4826, 4849, 5078, 5130, 5170, 5213, 5392, 5432, 5466,
                       5468, 5525, 5537, 5538, 5540, 5596, 5714, 5800, 5923, 6165, 6172, 6293, 6360, 6415, 6572, 6583,
                       6654, 6907, 6923, 6942, 7003, 7074, 7112, 7172],
                4246: [4283, 4494, 4789, 4909, 5041, 5098, 5182, 5240, 5347, 5659, 5754, 6325, 6482, 6511, 6603, 6983,
                       7080, 7086, 7093, 7113], 4249: [4407, 4417, 4465, 4598, 4822, 4918, 5102, 5756, 6171],
                5487: [6044],
                156: [421, 444, 618, 829, 957, 1040, 1123, 1522, 2451, 2453, 2544, 2643, 3179, 3519, 3550, 3650, 4195,
                      4355, 4439, 4826, 5468, 5537, 6319, 6509, 6907], 157: [2141],
                159: [200, 220, 329, 416, 435, 456, 458, 517, 520, 525, 531, 650, 707, 828, 869, 903, 931, 958, 972,
                      1105, 1195, 1230, 1288, 1289, 1339, 1403, 1441, 1450, 1464, 1534, 1548, 1550, 1625, 1864, 2194,
                      2238, 2280, 2302, 2361, 2398, 2451, 2526, 2623, 2858, 2924, 2938, 3102, 3131, 3157, 3184, 3200,
                      3265, 3314, 3317, 3373, 3411, 3506, 3529, 3777, 3858, 3899, 3928, 3929, 3996, 4117, 4168, 4265,
                      4283, 4415, 4465, 4536, 4657, 4673, 4796, 4801, 4943, 4972, 5078, 5190, 5287, 5468, 5499, 5569,
                      5702, 5760, 5904, 5954, 5964, 5966, 6341, 6360, 6368, 6406, 6429, 6496, 6538, 6589, 6648, 6657,
                      6812, 6818, 6919, 6962, 6986, 7049, 7084, 7123, 7166, 7172, 7185, 7192], 4256: [5468],
                161: [6143], 162: [730, 1579, 3028, 4918, 6797, 7142], 4259: [5498],
                4260: [4827, 4845, 4952, 5026, 5078, 5382, 5468, 5565, 5655, 5744, 6172, 6202, 6236, 6247, 6437, 6672,
                       6812, 6816, 6817, 6942, 7073, 7095],
                165: [273, 484, 618, 730, 1159, 1634, 1901, 2453, 2544, 2789, 3184, 3609, 4163, 4918, 4969, 5261, 5421,
                      5432, 5540, 6071, 6360, 6373, 6755, 7142], 4267: [5468, 6360, 6907], 173: [2500],
                175: [3066, 4576], 176: [1328, 2141, 4576, 5498, 5754],
                181: [655, 1051, 1482, 2236, 2307, 2570, 2751, 3384, 3731, 5432, 6383, 6687, 6812],
                183: [355, 531, 814, 844, 850, 934, 1279, 1701, 2141, 2370, 2440, 2659, 2747, 2778, 2847, 2930, 2936,
                      3131, 3454, 3504, 3671, 3752, 3928, 3951, 4672, 4801, 4859, 4909, 4980, 5282, 5833, 6171, 6194,
                      6197, 6252, 6346, 6572, 6648, 6738, 7079, 7093],
                187: [1852, 2141, 3066, 3640, 4576, 4608, 5063, 5438], 714: [5282, 6657],
                4287: [5282, 5468, 5498, 5792, 5904, 6360, 6657], 192: [2630],
                4289: [5468, 5904, 6360, 6657, 7049, 7137, 7172], 4292: [6425, 6656, 7101, 7121], 197: [3852, 6360],
                199: [435, 5754], 201: [1110], 4305: [5754],
                4307: [4312, 4364, 4676, 4804, 4951, 5098, 5130, 5440, 5498, 5667, 5754, 5792, 5961, 6127, 6236, 6339,
                       6511, 6572, 6603, 6905, 6942, 7094, 7113], 4308: [4789, 6143], 213: [774, 1634, 2373, 6470],
                5378: [5438, 5489, 5498, 5525, 5627, 5754, 5774, 5961, 6323, 6511, 6657, 6942, 7079, 7086, 7113, 7192],
                4320: [6360], 225: [2453], 226: [435, 958, 1571, 3066],
                230: [516, 1701, 2141, 2871, 3309, 5432, 5627, 5961, 6143],
                4329: [4465, 4496, 4559, 4563, 4574, 4576, 4608, 4657, 4673, 4697, 4787, 4862, 4882, 4910, 5063, 5143,
                       5250, 5262, 5320, 5341, 5390, 5403, 5406, 5412, 5468, 5592, 5616, 5633, 5698, 5743, 5756, 5775,
                       5793, 5860, 5900, 5901, 5954, 5964, 5982, 6020, 6040, 6172, 6185, 6376, 6449, 6483, 6585, 6603,
                       6657, 6773, 6780, 6796, 6812, 6814, 6824, 6849, 6878, 6917, 7022, 7067, 7075, 7089, 7135, 7162,
                       7172, 7184, 7198],
                6183: [6293, 6309, 6319, 6343, 6425, 6427, 6470, 6488, 6496, 6509, 6548, 6566, 6583, 6680, 6741, 6744,
                       6795, 6798, 6810, 6812, 6823, 6826, 6886, 6907, 6919, 7002, 7047, 7049, 7055, 7101], 237: [5754],
                238: [7172], 4335: [7192],
                4336: [4340, 4372, 4373, 4387, 4407, 4410, 4412, 4451, 4452, 4465, 4466, 4475, 4481, 4484, 4485, 4502,
                       4513, 4516, 4520, 4522, 4525, 4526, 4528, 4534, 4543, 4545, 4546, 4560, 4572, 4576, 4583, 4584,
                       4595, 4598, 4609, 4631, 4633, 4657, 4672, 4673, 4681, 4683, 4685, 4692, 4701, 4704, 4711, 4713,
                       4744, 4759, 4774, 4782, 4786, 4787, 4795, 4801, 4804, 4822, 4830, 4869, 4877, 4892, 4893, 4910,
                       4914, 4915, 4918, 4925, 4931, 4934, 4935, 4936, 4939, 4942, 5005, 5006, 5009, 5063, 5069, 5080,
                       5090, 5127, 5141, 5146, 5162, 5189, 5205, 5240, 5244, 5260, 5262, 5286, 5324, 5347, 5354, 5380,
                       5390, 5410, 5420, 5429, 5431, 5434, 5498, 5500, 5583, 5592, 5595, 5633, 5636, 5642, 5653, 5656,
                       5659, 5661, 5678, 5701, 5703, 5721, 5743, 5756, 5761, 5818, 5823, 5824, 5826, 5833, 5855, 5857,
                       5881, 5897, 5898, 5903, 5920, 5928, 5936, 5956, 5961, 5970, 5979, 5981, 5993, 6033, 6044, 6050,
                       6058, 6067, 6069, 6101, 6103, 6107, 6140, 6142, 6149, 6160, 6167, 6169, 6171, 6185, 6196, 6197,
                       6204, 6206, 6214, 6244, 6273, 6299, 6364, 6388, 6430, 6439, 6443, 6474, 6486, 6491, 6495, 6497,
                       6514, 6519, 6561, 6562, 6577, 6598, 6614, 6616, 6626, 6630, 6657, 6659, 6699, 6733, 6739, 6756,
                       6762, 6771, 6779, 6780, 6796, 6808, 6824, 6825, 6829, 6867, 6881, 6884, 6926, 6983, 6985, 7004,
                       7029, 7037, 7059, 7067, 7070, 7082, 7088, 7089, 7093, 7097, 7099, 7130, 7165, 7171, 7172, 7185],
                4337: [5537, 6886, 7101], 245: [5754, 7093],
                246: [1301, 1328, 1593, 2141, 2376, 2847, 3384, 4074, 4355, 4932, 5525, 5714, 6654, 6923],
                247: [1571, 3066, 7172], 4344: [5078, 5392, 5916, 6470, 6488, 7101, 7121],
                4346: [4640, 4943, 5314, 5521, 5536, 6360], 251: [2141], 4348: [7093],
                4350: [4355, 4364, 4370, 4383, 4453, 4462, 4494, 4516, 4568, 4576, 4608, 4616, 4676, 4763, 4771, 4789,
                       4822, 4857, 4869, 4910, 4918, 4932, 4943, 4951, 4952, 4980, 4997, 5017, 5041, 5063, 5069, 5088,
                       5130, 5131, 5133, 5148, 5188, 5197, 5203, 5252, 5260, 5261, 5311, 5329, 5347, 5354, 5432, 5438,
                       5475, 5488, 5489, 5493, 5498, 5503, 5525, 5531, 5592, 5627, 5636, 5667, 5710, 5754, 5756, 5773,
                       5774, 5801, 5864, 5892, 5938, 5950, 5961, 6004, 6038, 6127, 6136, 6137, 6143, 6146, 6171, 6172,
                       6185, 6194, 6199, 6229, 6242, 6261, 6300, 6303, 6325, 6339, 6360, 6363, 6410, 6504, 6511, 6557,
                       6562, 6577, 6657, 6684, 6687, 6738, 6754, 6771, 6845, 6851, 6853, 6881, 6905, 6935, 6942, 6945,
                       6957, 6967, 7003, 7004, 7064, 7067, 7079, 7086, 7088, 7093, 7094, 7099, 7137, 7154, 7172, 7185,
                       7198], 257: [1359, 1403, 1868, 2626, 3921, 4163, 4598, 4822, 5659, 5857, 6044, 6824, 7004],
                258: [513, 5537, 5908, 6360, 6812], 259: [500, 2626, 5756], 261: [2942],
                262: [343, 612, 702, 758, 841, 850, 979, 1020, 1025, 1201, 1328, 1504, 1536, 1657, 1889, 2037, 2141,
                      2351, 2626, 2754, 3445, 3695, 3862, 4153, 4218, 4226, 4364, 4369, 5063, 5347, 5390, 5438, 5503,
                      5512, 5892, 6111, 6323, 6563, 6603, 6657, 6733, 6845, 6869, 6983, 7099],
                5505: [5656, 5754, 5773, 5792, 5801, 5904, 6252, 6300, 6490, 6562, 6603, 6657, 6807, 6821, 6841, 6905,
                       7162, 7192], 6419: [7192, 7199], 266: [6633], 4366: [4369, 5432, 5754, 5961], 4367: [7101],
                272: [458, 1195, 1701, 5954],
                281: [349, 355, 594, 753, 850, 918, 957, 972, 1025, 1096, 1239, 1339, 1481, 1522, 1588, 1634, 1901,
                      1918, 2141, 2319, 2412, 2433, 2544, 2753, 2772, 2847, 3066, 3074, 3144, 3209, 3342, 3769, 3852,
                      3902, 4019, 4113, 4407, 4576, 4711, 4759, 4857, 4859, 4918, 5022, 5069, 5088, 5468, 5475, 5489,
                      5498, 5592, 5781, 5788, 5810, 5961, 5981, 6021, 6165, 6172, 6229, 6346, 6360, 6375, 6562, 6687,
                      6762, 6796, 6851, 6905, 6907, 6945, 7079, 7093, 7112, 7137, 7172],
                4380: [4432, 4439, 4469, 4539, 4573, 4619, 4689, 4724, 4768, 4787, 4789, 4795, 4827, 4874, 4882, 4937,
                       4942, 5048, 5064, 5088, 5130, 5143, 5146, 5170, 5177, 5190, 5209, 5282, 5329, 5332, 5344, 5347,
                       5371, 5392, 5418, 5466, 5468, 5475, 5483, 5485, 5489, 5495, 5537, 5592, 5624, 5655, 5678, 5701,
                       5727, 5754, 5770, 5773, 5774, 5788, 5791, 5827, 5831, 5887, 5897, 5904, 5908, 5913, 5944, 5947,
                       5954, 5966, 5978, 6036, 6039, 6101, 6122, 6124, 6127, 6165, 6229, 6247, 6252, 6261, 6266, 6267,
                       6274, 6292, 6293, 6319, 6346, 6383, 6424, 6427, 6430, 6455, 6456, 6482, 6537, 6611, 6657, 6675,
                       6689, 6738, 6752, 6757, 6796, 6799, 6805, 6807, 6812, 6816, 6864, 6910, 6941, 6942, 6945, 6985,
                       6992, 7003, 7029, 7045, 7079, 7083, 7086, 7094, 7110, 7111, 7160, 7162, 7167, 7171, 7172, 7198],
                4383: [5754],
                289: [355, 434, 461, 531, 700, 720, 778, 790, 805, 913, 946, 952, 972, 1030, 1054, 1057, 1071, 1110,
                      1218, 1328, 1335, 1564, 1593, 1666, 1715, 1717, 1771, 1837, 2020, 2044, 2076, 2104, 2152, 2158,
                      2302, 2367, 2376, 2579, 2621, 2753, 2783, 2852, 2938, 2962, 3112, 3119, 3162, 3210, 3280, 3288,
                      3349, 3398, 3399, 3477, 3577, 3595, 3650, 3668, 3670, 3717, 3801, 3922, 3939, 3956, 4046, 4060,
                      4074, 4100, 4132, 4185, 4190, 4296, 4309, 4314, 4364, 4369, 4408, 4473, 4494, 4539, 4550, 4576,
                      4687, 4857, 4918, 5130, 5148, 5354, 5371, 5468, 5483, 5489, 5508, 5592, 5655, 5656, 5714, 5754,
                      5838, 5907, 5908, 5938, 5944, 6051, 6093, 6127, 6136, 6171, 6199, 6202, 6247, 6269, 6293, 6346,
                      6383, 6418, 6424, 6434, 6448, 6456, 6482, 6496, 6563, 6675, 6676, 6680, 6738, 6754, 6757, 6762,
                      6923, 6926, 6942, 7003, 7045, 7172], 290: [2367, 6657, 7171],
                291: [305, 309, 310, 332, 334, 336, 341, 343, 365, 388, 397, 406, 408, 412, 416, 430, 462, 494, 500,
                      506, 531, 583, 594, 605, 612, 617, 629, 636, 650, 655, 675, 677, 684, 691, 700, 746, 747, 767,
                      781, 782, 790, 808, 814, 842, 844, 850, 851, 951, 964, 979, 982, 990, 998, 1020, 1023, 1025, 1042,
                      1060, 1161, 1190, 1201, 1206, 1213, 1218, 1235, 1236, 1240, 1243, 1246, 1258, 1283, 1284, 1305,
                      1307, 1308, 1324, 1330, 1338, 1344, 1354, 1359, 1366, 1381, 1383, 1396, 1400, 1415, 1419, 1427,
                      1438, 1443, 1446, 1457, 1475, 1481, 1485, 1489, 1499, 1510, 1520, 1542, 1548, 1550, 1558, 1586,
                      1605, 1642, 1644, 1647, 1677, 1699, 1701, 1715, 1747, 1781, 1787, 1798, 1804, 1815, 1830, 1853,
                      1856, 1868, 1880, 1881, 1885, 1887, 1889, 1891, 1905, 1930, 1934, 1967, 1975, 1995, 2010, 2012,
                      2018, 2020, 2030, 2036, 2037, 2045, 2049, 2093, 2121, 2126, 2127, 2129, 2133, 2139, 2148, 2149,
                      2194, 2208, 2212, 2216, 2236, 2289, 2320, 2325, 2326, 2348, 2349, 2359, 2364, 2367, 2370, 2379,
                      2392, 2398, 2424, 2430, 2431, 2440, 2441, 2462, 2471, 2479, 2502, 2505, 2515, 2521, 2530, 2551,
                      2559, 2560, 2626, 2629, 2635, 2657, 2701, 2705, 2709, 2741, 2747, 2748, 2754, 2857, 2885, 2892,
                      2903, 2916, 2930, 2945, 2959, 2978, 2984, 3061, 3062, 3065, 3069, 3100, 3104, 3115, 3135, 3144,
                      3157, 3201, 3217, 3234, 3265, 3273, 3274, 3313, 3334, 3354, 3363, 3411, 3501, 3523, 3530, 3532,
                      3540, 3567, 3569, 3574, 3605, 3609, 3629, 3634, 3643, 3689, 3690, 3691, 3695, 3719, 3722, 3752,
                      3765, 3769, 3785, 3793, 3807, 3809, 3815, 3825, 3846, 3881, 3897, 3906, 3922, 3928, 3935, 3982,
                      3983, 3991, 4030, 4031, 4073, 4080, 4081, 4102, 4113, 4114, 4127, 4153, 4165, 4185, 4210, 4226,
                      4228, 4239, 4254, 4257, 4283, 4296, 4297, 4298, 4301, 4316, 4328, 4334, 4340, 4361, 4372, 4379,
                      4392, 4396, 4402, 4407, 4410, 4411, 4451, 4452, 4465, 4500, 4502, 4505, 4506, 4520, 4522, 4526,
                      4528, 4534, 4535, 4542, 4560, 4561, 4564, 4565, 4584, 4595, 4600, 4609, 4622, 4628, 4631, 4632,
                      4633, 4635, 4639, 4646, 4661, 4672, 4681, 4692, 4694, 4706, 4711, 4713, 4735, 4740, 4744, 4748,
                      4782, 4787, 4796, 4801, 4818, 4822, 4827, 4834, 4851, 4877, 4881, 4906, 4907, 4918, 4925, 4936,
                      4942, 4947, 4972, 5017, 5063, 5066, 5078, 5090, 5099, 5102, 5108, 5144, 5156, 5161, 5177, 5189,
                      5215, 5246, 5254, 5262, 5267, 5294, 5306, 5332, 5337, 5353, 5390, 5408, 5410, 5429, 5431, 5434,
                      5453, 5456, 5468, 5512, 5517, 5548, 5559, 5569, 5574, 5591, 5595, 5607, 5616, 5637, 5642, 5677,
                      5681, 5700, 5701, 5705, 5706, 5709, 5712, 5721, 5722, 5737, 5757, 5769, 5779, 5785, 5793, 5804,
                      5814, 5823, 5836, 5837, 5838, 5855, 5857, 5860, 5892, 5895, 5919, 5920, 5934, 5938, 5967, 6020,
                      6058, 6067, 6069, 6071, 6084, 6111, 6142, 6149, 6160, 6167, 6172, 6178, 6197, 6211, 6214, 6231,
                      6252, 6273, 6274, 6286, 6293, 6295, 6328, 6350, 6355, 6365, 6372, 6378, 6392, 6399, 6400, 6429,
                      6430, 6454, 6470, 6474, 6488, 6495, 6510, 6514, 6531, 6538, 6563, 6571, 6572, 6598, 6601, 6614,
                      6648, 6659, 6676, 6681, 6708, 6721, 6725, 6739, 6755, 6756, 6770, 6786, 6813, 6817, 6833, 6837,
                      6857, 6884, 6902, 6925, 6960, 6982, 6983, 6985, 7001, 7029, 7034, 7059, 7082, 7087, 7089, 7092,
                      7096, 7101, 7103, 7123, 7164, 7165, 7172],
                294: [850, 1096, 1192, 1588, 1593, 1701, 2141, 2302, 2376, 3347, 3650, 4089, 4195, 4355, 4573, 6339,
                      6360, 6496],
                4391: [4545, 4576, 4759, 4789, 4910, 5063, 5286, 5311, 5347, 5498, 5754, 5770, 5792, 5801, 5904, 6143,
                       6172, 6325, 6383, 6562, 6935, 7003, 7171], 4394: [4595, 5180, 5286, 5540, 6470],
                299: [5468, 6796],
                4146: [4163, 4195, 4199, 4271, 4288, 4338, 4369, 4387, 4432, 4494, 4576, 4595, 4724, 4759, 4789, 4826,
                       4859, 4918, 4932, 4943, 4980, 5088, 5130, 5139, 5190, 5232, 5261, 5344, 5371, 5432, 5475, 5485,
                       5488, 5489, 5531, 5540, 5624, 5667, 5678, 5754, 5756, 5887, 5938, 5955, 6017, 6037, 6039, 6071,
                       6127, 6143, 6146, 6171, 6185, 6194, 6237, 6242, 6252, 6268, 6300, 6303, 6315, 6339, 6346, 6373,
                       6450, 6581, 6596, 6611, 6684, 6725, 6738, 6853, 6907, 6942, 6948, 7003, 7040, 7064, 7079, 7083,
                       7086, 7093, 7142, 7158, 7160, 7172],
                302: [841, 850, 1025, 1701, 1919, 2141, 2251, 2440, 2762, 2847, 3548, 3671, 4453, 5130, 5282, 5498,
                      5540, 5754, 6127, 6197, 6657], 304: [5160], 305: [2626, 4163],
                4411: [4573, 4918, 5468, 5592, 6172, 6725, 6907, 7079, 7172], 316: [5754],
                319: [420, 435, 958, 1095, 1195, 1571, 2371, 2813, 3066, 3131, 3982, 4218, 4313, 4576, 4657, 4850, 5130,
                      5754, 5882, 5912, 6511, 6657, 7111, 7172],
                320: [349, 378, 434, 464, 465, 489, 512, 516, 517, 519, 531, 532, 582, 594, 612, 618, 620, 629, 644,
                      647, 682, 687, 706, 720, 753, 781, 809, 828, 834, 841, 850, 869, 879, 881, 884, 890, 900, 918,
                      942, 952, 980, 997, 998, 999, 1000, 1020, 1024, 1025, 1042, 1052, 1061, 1082, 1096, 1110, 1118,
                      1133, 1192, 1202, 1213, 1219, 1220, 1253, 1277, 1279, 1292, 1300, 1309, 1311, 1339, 1343, 1356,
                      1359, 1395, 1401, 1402, 1403, 1428, 1430, 1453, 1458, 1478, 1481, 1498, 1502, 1504, 1522, 1529,
                      1550, 1571, 1602, 1613, 1616, 1650, 1732, 1747, 1751, 1774, 1834, 1837, 1847, 1852, 1855, 1856,
                      1857, 1858, 1861, 1868, 1869, 1884, 1891, 1901, 1919, 1957, 1979, 1985, 1996, 2005, 2013, 2023,
                      2084, 2089, 2092, 2094, 2124, 2141, 2146, 2181, 2194, 2238, 2252, 2253, 2279, 2294, 2343, 2440,
                      2453, 2457, 2459, 2465, 2473, 2481, 2510, 2544, 2572, 2579, 2595, 2626, 2658, 2659, 2680, 2719,
                      2762, 2775, 2813, 2847, 2848, 2890, 2912, 2930, 2936, 2940, 2942, 2949, 2951, 2958, 2960, 2963,
                      2975, 2985, 2998, 3002, 3007, 3014, 3036, 3061, 3062, 3066, 3104, 3109, 3112, 3128, 3131, 3132,
                      3133, 3136, 3144, 3157, 3166, 3176, 3199, 3207, 3209, 3210, 3230, 3247, 3264, 3265, 3271, 3274,
                      3309, 3311, 3313, 3351, 3354, 3384, 3387, 3391, 3411, 3426, 3435, 3446, 3454, 3500, 3517, 3524,
                      3534, 3576, 3635, 3638, 3640, 3692, 3700, 3763, 3775, 3786, 3843, 3869, 3878, 3903, 3924, 3930,
                      3931, 3946, 3951, 3958, 3963, 3989, 4000, 4002, 4019, 4037, 4043, 4044, 4045, 4097, 4105, 4113,
                      4117, 4153, 4156, 4163, 4218, 4227, 4250, 4283, 4288, 4328, 4334, 4369, 4383, 4387, 4401, 4405,
                      4453, 4469, 4494, 4501, 4513, 4516, 4528, 4546, 4561, 4576, 4584, 4595, 4598, 4608, 4622, 4657,
                      4672, 4687, 4697, 4704, 4711, 4719, 4725, 4728, 4759, 4771, 4786, 4789, 4795, 4822, 4841, 4862,
                      4894, 4898, 4910, 4914, 4918, 4932, 4936, 4949, 4951, 4957, 4969, 4997, 5009, 5031, 5063, 5069,
                      5088, 5102, 5131, 5171, 5221, 5229, 5232, 5244, 5248, 5260, 5261, 5282, 5293, 5297, 5311, 5315,
                      5329, 5347, 5398, 5418, 5421, 5429, 5438, 5468, 5475, 5485, 5486, 5488, 5489, 5493, 5499, 5534,
                      5540, 5580, 5588, 5592, 5621, 5633, 5636, 5653, 5656, 5659, 5684, 5703, 5710, 5743, 5754, 5756,
                      5770, 5774, 5775, 5781, 5788, 5793, 5801, 5826, 5831, 5833, 5836, 5855, 5857, 5877, 5879, 5886,
                      5889, 5897, 5903, 5938, 5961, 5981, 6022, 6044, 6047, 6050, 6065, 6071, 6096, 6101, 6127, 6143,
                      6146, 6149, 6160, 6167, 6169, 6171, 6181, 6185, 6194, 6223, 6230, 6236, 6257, 6303, 6325, 6346,
                      6358, 6360, 6382, 6410, 6412, 6434, 6452, 6454, 6469, 6490, 6491, 6557, 6562, 6577, 6601, 6603,
                      6614, 6616, 6631, 6667, 6675, 6697, 6733, 6754, 6755, 6762, 6763, 6771, 6779, 6780, 6791, 6796,
                      6797, 6824, 6845, 6848, 6853, 6867, 6881, 6921, 6926, 6935, 6945, 6948, 6957, 6997, 7000, 7004,
                      7033, 7067, 7070, 7082, 7088, 7089, 7093, 7099, 7123, 7137, 7142, 7172, 7188],
                323: [340, 527, 1105, 1839, 2251, 2326, 2630, 3028, 3158, 3622, 3779, 4184, 5698, 5779, 6470, 6488,
                      7101],
                324: [435, 465, 720, 828, 841, 850, 910, 1153, 1220, 1343, 1571, 1852, 1868, 1919, 2044, 2094, 2194,
                      2238, 2350, 2459, 2680, 2747, 2813, 2847, 3138, 3191, 3210, 3311, 3384, 3454, 3517, 3775, 3989,
                      4000, 4043, 4097, 4105, 4119, 4218, 4494, 4576, 4608, 4910, 5063, 5098, 5311, 5456, 5489, 5592,
                      5627, 5754, 5792, 5857, 5904, 6490, 6511, 6557, 6603, 6657, 6845, 6935, 7004, 7093, 7113],
                325: [329, 441, 502, 513, 520, 574, 730, 926, 1026, 1096, 1230, 1289, 1464, 1492, 1550, 1634, 1759,
                      1827, 1918, 1965, 2104, 2223, 2375, 2451, 2526, 2540, 2602, 2657, 2746, 2789, 2813, 2938, 2970,
                      3200, 3317, 3358, 3529, 3609, 3650, 3922, 3928, 3977, 3980, 4115, 4157, 4304, 4337, 4438, 4532,
                      4573, 4603, 4730, 4801, 4882, 4937, 5078, 5130, 5187, 5281, 5466, 5468, 5537, 5540, 5569, 5788,
                      5901, 5916, 6343, 6373, 6548, 6583, 6600, 6818, 7101, 7121, 7172],
                327: [475, 482, 516, 531, 737, 778, 814, 850, 869, 957, 1012, 1026, 1034, 1061, 1096, 1110, 1153, 1192,
                      1288, 1309, 1327, 1328, 1395, 1504, 1534, 1564, 1572, 1593, 1634, 1701, 1706, 1715, 1717, 1852,
                      1901, 1918, 2020, 2044, 2076, 2141, 2238, 2274, 2302, 2319, 2351, 2376, 2378, 2453, 2472, 2544,
                      2553, 2591, 2639, 2659, 2686, 2792, 2794, 2852, 2936, 2962, 3026, 3112, 3179, 3210, 3287, 3293,
                      3347, 3398, 3399, 3519, 3577, 3593, 3650, 3671, 3852, 3922, 3929, 3931, 3978, 4089, 4111, 4218,
                      4312, 4338, 4369, 4573, 4585, 4616, 4849, 4918, 4943, 4952, 5213, 5232, 5329, 5344, 5354, 5432,
                      5468, 5488, 5538, 5540, 5592, 5633, 5678, 5710, 5800, 5887, 5890, 5901, 5913, 5938, 5955, 5966,
                      6037, 6127, 6171, 6172, 6194, 6346, 6496, 6511, 6572, 6581, 6663, 6702, 6725, 6738, 6845, 6905,
                      6916, 6942, 6948, 6977, 7003, 7034, 7074, 7093, 7094, 7172],
                328: [420, 435, 1327, 1545, 1548, 1625, 2370, 2639, 3158, 3640, 5179, 5698],
                4425: [4595, 4598, 4622, 4672, 4822, 4865, 4918, 5177, 5855, 5877, 5881, 6167, 6171, 6185, 6293, 6358,
                       6614, 7142], 331: [4195],
                335: [475, 885, 1464, 1522, 1852, 2683, 2813, 3200, 3317, 3347, 3424, 3650, 3700, 4089, 4195, 5139,
                      5145, 5213, 5279, 5314, 5525, 5856, 6236, 6360, 6642, 6935, 7111],
                6285: [6299, 6317, 6325, 6346, 6360, 6455, 6476, 6562, 6603, 6617, 6657, 6684, 6689, 6730, 6738, 6754,
                       6757, 6796, 6821, 6841, 6845, 6857, 6869, 6877, 6907, 6921, 6941, 6945, 6983, 7003, 7049, 7064,
                       7067, 7079, 7083, 7086, 7088, 7094, 7137, 7154, 7160, 7162, 7172, 7192, 7198],
                337: [475, 650, 829, 921, 1110, 1572, 1701, 1827, 1852, 2141, 2158, 2238, 2376, 2378, 2486, 2526, 2600,
                      2625, 2659, 2694, 2792, 2813, 2936, 3267, 3317, 3398, 3477, 3519, 3650, 4157, 4195, 4355, 4771,
                      5282, 5468, 5714, 5904, 5954, 5982, 6257, 6317, 6360, 6422, 6452, 6657], 340: [2630],
                4437: [4494, 4759, 4789, 4918, 4980, 5282, 5468, 5498, 5540, 5592, 5659, 5801, 5961, 6127, 6171, 6252,
                       6360, 6410, 6853, 6905, 6942, 7093, 7172],
                342: [1096, 1288, 1593, 2813, 3384, 3929, 4288, 4616, 5078, 5468, 7003],
                344: [345, 348, 354, 355, 357, 359, 363, 366, 371, 375, 376, 377, 380, 381, 382, 384, 386, 387, 391,
                      392, 393, 394, 396, 397, 398, 399, 404, 405, 410, 411, 414, 415, 417, 420, 421, 425, 426, 427,
                      430, 431, 433, 434, 439, 443, 444, 445, 449, 451, 453, 455, 457, 458, 459, 460, 461, 463, 464,
                      465, 469, 472, 475, 481, 482, 484, 487, 488, 490, 491, 492, 493, 494, 496, 502, 503, 506, 507,
                      512, 513, 516, 517, 518, 519, 521, 524, 527, 530, 531, 532, 533, 537, 538, 540, 542, 544, 545,
                      548, 552, 554, 555, 557, 558, 559, 561, 563, 564, 565, 568, 569, 571, 573, 574, 579, 584, 593,
                      594, 599, 600, 604, 605, 606, 607, 608, 610, 611, 612, 614, 615, 616, 617, 618, 619, 620, 623,
                      627, 628, 629, 630, 637, 638, 641, 643, 645, 647, 651, 652, 653, 656, 657, 660, 661, 664, 666,
                      669, 674, 677, 678, 679, 680, 681, 682, 684, 685, 686, 687, 688, 689, 690, 692, 693, 694, 696,
                      697, 699, 700, 701, 703, 706, 718, 724, 727, 730, 731, 732, 735, 736, 737, 741, 743, 746, 747,
                      748, 749, 751, 752, 753, 755, 756, 760, 762, 767, 768, 770, 773, 776, 777, 781, 783, 787, 790,
                      794, 795, 800, 801, 802, 804, 805, 807, 810, 812, 814, 816, 818, 819, 824, 832, 833, 834, 839,
                      841, 843, 845, 846, 849, 850, 851, 852, 853, 854, 857, 859, 862, 863, 864, 865, 869, 873, 875,
                      878, 885, 889, 890, 891, 892, 893, 895, 900, 901, 904, 907, 912, 915, 918, 919, 921, 922, 926,
                      927, 928, 929, 931, 932, 933, 934, 935, 936, 937, 938, 939, 942, 943, 945, 946, 947, 949, 952,
                      953, 956, 957, 960, 963, 964, 966, 967, 969, 971, 977, 980, 983, 986, 987, 988, 989, 990, 991,
                      992, 994, 998, 999, 1000, 1004, 1005, 1007, 1009, 1010, 1012, 1013, 1014, 1020, 1022, 1023, 1024,
                      1025, 1026, 1029, 1032, 1033, 1034, 1035, 1037, 1040, 1041, 1043, 1046, 1047, 1048, 1049, 1052,
                      1053, 1054, 1055, 1056, 1061, 1062, 1065, 1067, 1070, 1074, 1081, 1082, 1085, 1087, 1088, 1092,
                      1094, 1096, 1100, 1101, 1102, 1104, 1106, 1108, 1109, 1110, 1113, 1117, 1118, 1119, 1120, 1124,
                      1125, 1126, 1127, 1128, 1129, 1133, 1134, 1135, 1139, 1140, 1141, 1148, 1150, 1153, 1154, 1156,
                      1157, 1159, 1160, 1161, 1162, 1164, 1167, 1169, 1170, 1171, 1172, 1175, 1177, 1179, 1192, 1193,
                      1198, 1201, 1203, 1204, 1206, 1207, 1208, 1210, 1211, 1214, 1215, 1218, 1220, 1221, 1222, 1225,
                      1228, 1229, 1231, 1235, 1236, 1238, 1241, 1247, 1248, 1251, 1252, 1255, 1256, 1257, 1260, 1261,
                      1262, 1264, 1268, 1270, 1271, 1272, 1277, 1278, 1279, 1286, 1287, 1289, 1291, 1292, 1293, 1295,
                      1301, 1302, 1303, 1308, 1309, 1311, 1313, 1314, 1315, 1316, 1318, 1319, 1324, 1327, 1330, 1331,
                      1333, 1335, 1336, 1337, 1340, 1341, 1342, 1343, 1346, 1348, 1350, 1351, 1354, 1356, 1362, 1367,
                      1368, 1369, 1372, 1373, 1374, 1375, 1376, 1379, 1381, 1384, 1385, 1386, 1390, 1395, 1396, 1399,
                      1401, 1402, 1403, 1405, 1407, 1409, 1410, 1411, 1413, 1414, 1420, 1422, 1423, 1426, 1427, 1428,
                      1430, 1431, 1432, 1434, 1438, 1440, 1443, 1445, 1447, 1449, 1450, 1452, 1453, 1455, 1456, 1458,
                      1460, 1461, 1462, 1465, 1466, 1467, 1469, 1470, 1473, 1475, 1481, 1482, 1484, 1487, 1492, 1493,
                      1496, 1497, 1499, 1501, 1502, 1504, 1506, 1508, 1509, 1514, 1515, 1516, 1517, 1518, 1521, 1522,
                      1523, 1524, 1526, 1529, 1534, 1535, 1536, 1540, 1545, 1546, 1547, 1553, 1554, 1556, 1557, 1558,
                      1561, 1562, 1565, 1567, 1568, 1571, 1572, 1573, 1575, 1576, 1577, 1579, 1580, 1581, 1582, 1583,
                      1584, 1586, 1587, 1589, 1590, 1591, 1593, 1594, 1599, 1604, 1607, 1612, 1613, 1618, 1620, 1621,
                      1625, 1626, 1628, 1631, 1633, 1634, 1636, 1640, 1646, 1647, 1650, 1653, 1656, 1660, 1662, 1663,
                      1666, 1667, 1668, 1669, 1674, 1677, 1678, 1679, 1681, 1682, 1687, 1692, 1695, 1696, 1697, 1698,
                      1699, 1702, 1703, 1709, 1713, 1715, 1718, 1720, 1722, 1728, 1729, 1730, 1731, 1733, 1734, 1739,
                      1740, 1745, 1746, 1747, 1751, 1754, 1756, 1758, 1765, 1766, 1770, 1773, 1774, 1775, 1776, 1782,
                      1784, 1786, 1787, 1789, 1790, 1794, 1795, 1799, 1801, 1803, 1805, 1806, 1807, 1811, 1812, 1814,
                      1820, 1822, 1824, 1825, 1826, 1834, 1836, 1837, 1839, 1845, 1847, 1851, 1852, 1856, 1857, 1858,
                      1859, 1861, 1862, 1866, 1867, 1869, 1873, 1875, 1878, 1880, 1882, 1883, 1884, 1885, 1888, 1893,
                      1896, 1898, 1907, 1908, 1914, 1918, 1919, 1921, 1922, 1923, 1924, 1926, 1927, 1929, 1931, 1937,
                      1938, 1943, 1945, 1946, 1950, 1951, 1957, 1964, 1965, 1967, 1968, 1969, 1970, 1971, 1973, 1975,
                      1977, 1979, 1980, 1983, 1984, 1985, 1987, 1989, 1991, 1994, 1997, 1999, 2001, 2002, 2003, 2004,
                      2005, 2009, 2013, 2016, 2019, 2022, 2024, 2025, 2026, 2027, 2031, 2032, 2034, 2039, 2041, 2043,
                      2046, 2047, 2049, 2050, 2058, 2059, 2060, 2062, 2067, 2070, 2075, 2076, 2079, 2085, 2089, 2090,
                      2094, 2095, 2096, 2097, 2100, 2101, 2102, 2103, 2104, 2106, 2107, 2108, 2109, 2110, 2111, 2112,
                      2113, 2114, 2117, 2119, 2122, 2124, 2125, 2126, 2130, 2131, 2132, 2133, 2135, 2136, 2139, 2140,
                      2141, 2143, 2145, 2146, 2150, 2152, 2153, 2154, 2155, 2157, 2158, 2159, 2160, 2167, 2169, 2172,
                      2177, 2178, 2181, 2190, 2191, 2192, 2193, 2196, 2198, 2200, 2203, 2204, 2209, 2210, 2212, 2217,
                      2218, 2220, 2222, 2223, 2224, 2230, 2231, 2232, 2233, 2238, 2240, 2242, 2243, 2249, 2250, 2251,
                      2253, 2255, 2256, 2257, 2262, 2265, 2267, 2268, 2269, 2272, 2273, 2274, 2276, 2280, 2286, 2287,
                      2289, 2293, 2297, 2299, 2300, 2301, 2302, 2304, 2305, 2306, 2307, 2308, 2312, 2315, 2316, 2317,
                      2319, 2320, 2323, 2324, 2325, 2326, 2328, 2329, 2331, 2333, 2334, 2335, 2341, 2342, 2343, 2344,
                      2345, 2347, 2349, 2351, 2353, 2355, 2360, 2361, 2362, 2364, 2365, 2369, 2373, 2375, 2376, 2377,
                      2378, 2383, 2385, 2386, 2391, 2395, 2397, 2404, 2405, 2406, 2408, 2410, 2416, 2418, 2420, 2421,
                      2422, 2423, 2425, 2428, 2430, 2433, 2434, 2435, 2436, 2438, 2440, 2441, 2442, 2443, 2445, 2446,
                      2447, 2448, 2452, 2453, 2454, 2455, 2457, 2458, 2459, 2460, 2462, 2463, 2467, 2471, 2472, 2473,
                      2476, 2480, 2481, 2482, 2483, 2484, 2485, 2486, 2489, 2491, 2492, 2494, 2496, 2497, 2500, 2504,
                      2506, 2508, 2509, 2510, 2511, 2518, 2519, 2523, 2524, 2526, 2528, 2529, 2530, 2534, 2535, 2538,
                      2540, 2541, 2543, 2544, 2547, 2548, 2550, 2551, 2553, 2555, 2558, 2560, 2561, 2562, 2563, 2564,
                      2571, 2572, 2575, 2576, 2578, 2579, 2581, 2584, 2586, 2587, 2593, 2596, 2597, 2598, 2600, 2602,
                      2603, 2604, 2605, 2606, 2611, 2612, 2613, 2615, 2616, 2617, 2619, 2621, 2624, 2625, 2627, 2630,
                      2638, 2641, 2643, 2649, 2650, 2653, 2654, 2658, 2659, 2667, 2669, 2671, 2672, 2677, 2678, 2680,
                      2682, 2683, 2684, 2686, 2687, 2691, 2693, 2694, 2695, 2699, 2700, 2703, 2707, 2708, 2709, 2710,
                      2712, 2714, 2715, 2716, 2718, 2719, 2720, 2723, 2725, 2727, 2729, 2732, 2735, 2736, 2737, 2738,
                      2740, 2741, 2752, 2753, 2755, 2757, 2758, 2760, 2761, 2763, 2765, 2770, 2773, 2774, 2781, 2783,
                      2787, 2789, 2791, 2792, 2794, 2795, 2796, 2797, 2798, 2800, 2801, 2805, 2806, 2807, 2808, 2809,
                      2810, 2813, 2818, 2823, 2824, 2828, 2831, 2835, 2837, 2838, 2839, 2842, 2843, 2844, 2845, 2846,
                      2848, 2849, 2850, 2851, 2852, 2854, 2857, 2858, 2861, 2862, 2863, 2864, 2866, 2870, 2871, 2872,
                      2875, 2876, 2877, 2879, 2881, 2883, 2886, 2887, 2888, 2890, 2891, 2895, 2896, 2897, 2899, 2900,
                      2901, 2902, 2903, 2905, 2906, 2908, 2909, 2912, 2913, 2914, 2916, 2917, 2918, 2919, 2920, 2921,
                      2925, 2926, 2927, 2930, 2931, 2932, 2934, 2935, 2936, 2939, 2942, 2943, 2947, 2949, 2950, 2951,
                      2952, 2953, 2956, 2960, 2961, 2962, 2966, 2969, 2970, 2972, 2973, 2974, 2975, 2980, 2983, 2984,
                      2986, 2987, 2988, 2990, 2993, 2994, 2997, 2999, 3001, 3003, 3005, 3007, 3008, 3010, 3013, 3014,
                      3017, 3018, 3019, 3023, 3026, 3028, 3029, 3035, 3038, 3039, 3042, 3044, 3046, 3047, 3048, 3049,
                      3051, 3053, 3057, 3061, 3062, 3063, 3064, 3065, 3066, 3067, 3068, 3069, 3071, 3072, 3074, 3075,
                      3076, 3077, 3080, 3084, 3086, 3087, 3089, 3090, 3091, 3093, 3095, 3096, 3097, 3098, 3099, 3100,
                      3101, 3102, 3103, 3104, 3107, 3108, 3109, 3112, 3113, 3115, 3116, 3117, 3120, 3121, 3122, 3123,
                      3127, 3129, 3130, 3131, 3132, 3133, 3134, 3136, 3137, 3139, 3143, 3145, 3146, 3147, 3151, 3152,
                      3153, 3154, 3155, 3157, 3159, 3160, 3162, 3166, 3167, 3168, 3174, 3175, 3176, 3177, 3178, 3179,
                      3180, 3182, 3184, 3187, 3188, 3189, 3191, 3196, 3198, 3199, 3201, 3203, 3205, 3206, 3208, 3209,
                      3210, 3217, 3218, 3219, 3220, 3222, 3223, 3227, 3228, 3230, 3231, 3232, 3233, 3234, 3237, 3243,
                      3244, 3245, 3247, 3250, 3253, 3254, 3257, 3259, 3260, 3263, 3264, 3265, 3267, 3269, 3271, 3274,
                      3277, 3278, 3280, 3287, 3289, 3290, 3291, 3292, 3294, 3296, 3300, 3303, 3304, 3305, 3309, 3310,
                      3311, 3312, 3315, 3316, 3317, 3318, 3319, 3321, 3323, 3324, 3329, 3330, 3331, 3332, 3334, 3337,
                      3340, 3341, 3342, 3345, 3347, 3351, 3353, 3354, 3356, 3357, 3359, 3363, 3366, 3367, 3368, 3369,
                      3376, 3378, 3379, 3380, 3381, 3386, 3388, 3389, 3390, 3391, 3395, 3396, 3397, 3398, 3399, 3400,
                      3401, 3402, 3409, 3410, 3411, 3412, 3413, 3416, 3418, 3419, 3421, 3422, 3423, 3426, 3427, 3428,
                      3430, 3434, 3435, 3442, 3446, 3452, 3455, 3456, 3460, 3461, 3465, 3466, 3467, 3471, 3472, 3473,
                      3477, 3478, 3479, 3485, 3488, 3489, 3493, 3494, 3495, 3496, 3497, 3499, 3500, 3504, 3505, 3506,
                      3511, 3513, 3515, 3518, 3521, 3526, 3527, 3529, 3530, 3532, 3534, 3538, 3541, 3542, 3544, 3545,
                      3548, 3549, 3550, 3553, 3554, 3555, 3559, 3560, 3562, 3564, 3566, 3567, 3568, 3569, 3573, 3576,
                      3579, 3583, 3584, 3585, 3588, 3589, 3591, 3593, 3597, 3598, 3601, 3602, 3604, 3606, 3609, 3612,
                      3614, 3615, 3616, 3618, 3621, 3622, 3623, 3625, 3626, 3627, 3628, 3629, 3632, 3635, 3636, 3637,
                      3638, 3642, 3643, 3644, 3645, 3647, 3650, 3652, 3653, 3655, 3656, 3658, 3660, 3661, 3664, 3667,
                      3669, 3671, 3677, 3678, 3679, 3680, 3682, 3684, 3685, 3686, 3687, 3688, 3689, 3690, 3691, 3692,
                      3694, 3696, 3697, 3699, 3700, 3702, 3705, 3707, 3708, 3711, 3712, 3713, 3714, 3716, 3717, 3720,
                      3721, 3723, 3725, 3726, 3728, 3731, 3733, 3735, 3740, 3741, 3742, 3744, 3750, 3752, 3755, 3757,
                      3758, 3761, 3763, 3765, 3771, 3772, 3773, 3774, 3775, 3778, 3783, 3784, 3785, 3787, 3788, 3794,
                      3795, 3796, 3797, 3798, 3805, 3808, 3814, 3816, 3819, 3820, 3822, 3823, 3826, 3829, 3831, 3833,
                      3834, 3837, 3838, 3840, 3845, 3846, 3848, 3850, 3852, 3853, 3856, 3861, 3865, 3868, 3872, 3873,
                      3874, 3877, 3878, 3879, 3880, 3881, 3885, 3889, 3890, 3891, 3895, 3897, 3899, 3902, 3903, 3904,
                      3905, 3906, 3907, 3912, 3916, 3918, 3919, 3922, 3923, 3924, 3925, 3928, 3930, 3931, 3932, 3934,
                      3936, 3938, 3940, 3943, 3946, 3947, 3949, 3951, 3953, 3956, 3957, 3958, 3960, 3963, 3964, 3965,
                      3968, 3969, 3971, 3974, 3975, 3977, 3978, 3979, 3980, 3981, 3983, 3986, 3987, 3988, 3992, 3994,
                      3995, 3996, 3997, 4000, 4002, 4007, 4009, 4010, 4012, 4014, 4015, 4018, 4021, 4025, 4032, 4034,
                      4035, 4036, 4037, 4038, 4039, 4040, 4041, 4044, 4048, 4050, 4053, 4054, 4057, 4058, 4062, 4065,
                      4070, 4071, 4072, 4073, 4074, 4075, 4076, 4078, 4079, 4081, 4082, 4083, 4084, 4086, 4089, 4090,
                      4091, 4093, 4094, 4096, 4099, 4100, 4101, 4103, 4104, 4107, 4113, 4114, 4117, 4118, 4121, 4123,
                      4124, 4127, 4129, 4131, 4132, 4133, 4134, 4137, 4141, 4143, 4146, 4147, 4152, 4154, 4155, 4157,
                      4159, 4160, 4161, 4163, 4164, 4166, 4170, 4172, 4173, 4181, 4183, 4184, 4187, 4189, 4190, 4194,
                      4195, 4199, 4200, 4205, 4211, 4213, 4216, 4220, 4222, 4223, 4225, 4227, 4228, 4229, 4230, 4232,
                      4233, 4234, 4238, 4239, 4242, 4244, 4250, 4254, 4257, 4258, 4261, 4264, 4265, 4267, 4269, 4270,
                      4271, 4274, 4278, 4280, 4283, 4284, 4286, 4292, 4294, 4295, 4298, 4303, 4304, 4312, 4314, 4317,
                      4320, 4321, 4328, 4330, 4331, 4333, 4337, 4338, 4339, 4343, 4346, 4348, 4349, 4352, 4355, 4357,
                      4358, 4359, 4364, 4365, 4366, 4367, 4368, 4369, 4374, 4376, 4378, 4379, 4381, 4384, 4387, 4388,
                      4389, 4392, 4393, 4397, 4398, 4399, 4400, 4403, 4408, 4409, 4411, 4414, 4415, 4416, 4417, 4418,
                      4421, 4422, 4426, 4427, 4429, 4432, 4434, 4435, 4436, 4438, 4440, 4441, 4442, 4443, 4444, 4447,
                      4453, 4454, 4455, 4456, 4457, 4458, 4461, 4462, 4467, 4471, 4472, 4474, 4475, 4476, 4479, 4487,
                      4494, 4495, 4496, 4498, 4501, 4503, 4504, 4507, 4508, 4509, 4511, 4514, 4519, 4520, 4523, 4524,
                      4528, 4529, 4530, 4532, 4533, 4534, 4536, 4537, 4538, 4539, 4543, 4546, 4547, 4553, 4555, 4557,
                      4558, 4560, 4561, 4566, 4573, 4574, 4578, 4580, 4582, 4585, 4587, 4589, 4594, 4595, 4601, 4602,
                      4606, 4608, 4609, 4617, 4619, 4622, 4626, 4638, 4642, 4643, 4644, 4651, 4655, 4657, 4662, 4664,
                      4665, 4666, 4669, 4671, 4672, 4673, 4677, 4678, 4679, 4680, 4686, 4687, 4689, 4691, 4693, 4694,
                      4698, 4699, 4703, 4707, 4709, 4710, 4711, 4713, 4715, 4716, 4719, 4720, 4722, 4724, 4726, 4729,
                      4730, 4733, 4735, 4736, 4737, 4739, 4741, 4742, 4747, 4750, 4752, 4756, 4758, 4764, 4765, 4767,
                      4771, 4773, 4774, 4777, 4780, 4782, 4783, 4785, 4786, 4789, 4790, 4792, 4795, 4798, 4799, 4803,
                      4804, 4807, 4809, 4811, 4815, 4816, 4817, 4818, 4820, 4821, 4824, 4825, 4826, 4828, 4834, 4835,
                      4838, 4839, 4841, 4842, 4843, 4846, 4847, 4848, 4849, 4853, 4854, 4855, 4856, 4859, 4861, 4862,
                      4864, 4865, 4869, 4872, 4876, 4882, 4885, 4886, 4887, 4888, 4889, 4891, 4894, 4895, 4896, 4897,
                      4899, 4900, 4904, 4905, 4908, 4909, 4910, 4911, 4918, 4920, 4921, 4922, 4926, 4927, 4928, 4930,
                      4932, 4933, 4936, 4937, 4938, 4939, 4940, 4941, 4950, 4951, 4952, 4953, 4954, 4955, 4956, 4957,
                      4958, 4961, 4962, 4963, 4964, 4967, 4969, 4970, 4978, 4981, 4982, 4985, 4986, 4989, 4991, 4993,
                      4996, 4999, 5000, 5002, 5004, 5009, 5010, 5018, 5020, 5021, 5022, 5023, 5025, 5026, 5030, 5031,
                      5032, 5034, 5035, 5036, 5037, 5038, 5039, 5040, 5046, 5048, 5053, 5054, 5062, 5066, 5068, 5070,
                      5071, 5072, 5073, 5076, 5077, 5078, 5081, 5083, 5084, 5085, 5086, 5088, 5089, 5091, 5092, 5093,
                      5098, 5099, 5100, 5102, 5105, 5107, 5110, 5111, 5112, 5113, 5114, 5115, 5116, 5118, 5123, 5124,
                      5125, 5126, 5127, 5128, 5129, 5130, 5132, 5134, 5135, 5139, 5140, 5141, 5145, 5146, 5147, 5148,
                      5149, 5150, 5153, 5154, 5155, 5156, 5158, 5162, 5164, 5170, 5171, 5172, 5175, 5178, 5182, 5187,
                      5189, 5190, 5191, 5193, 5196, 5197, 5200, 5201, 5207, 5210, 5213, 5216, 5223, 5226, 5229, 5230,
                      5231, 5232, 5233, 5235, 5249, 5250, 5252, 5254, 5255, 5259, 5260, 5261, 5264, 5266, 5267, 5269,
                      5271, 5273, 5274, 5275, 5276, 5278, 5279, 5280, 5281, 5282, 5283, 5284, 5286, 5289, 5290, 5291,
                      5293, 5294, 5295, 5297, 5299, 5300, 5302, 5306, 5307, 5308, 5309, 5311, 5313, 5314, 5317, 5319,
                      5320, 5321, 5322, 5326, 5332, 5334, 5336, 5339, 5341, 5343, 5344, 5346, 5347, 5348, 5354, 5355,
                      5356, 5358, 5361, 5364, 5365, 5366, 5368, 5370, 5371, 5372, 5374, 5377, 5383, 5384, 5387, 5391,
                      5392, 5393, 5395, 5396, 5399, 5402, 5403, 5411, 5412, 5413, 5414, 5416, 5418, 5419, 5421, 5422,
                      5424, 5425, 5426, 5431, 5433, 5435, 5436, 5437, 5438, 5439, 5440, 5441, 5442, 5444, 5448, 5450,
                      5456, 5457, 5459, 5460, 5463, 5464, 5466, 5467, 5468, 5470, 5471, 5473, 5475, 5479, 5481, 5482,
                      5483, 5485, 5486, 5488, 5493, 5494, 5497, 5499, 5501, 5502, 5504, 5507, 5509, 5510, 5512, 5519,
                      5521, 5522, 5523, 5526, 5528, 5531, 5534, 5536, 5538, 5540, 5543, 5545, 5546, 5547, 5549, 5552,
                      5554, 5557, 5559, 5560, 5562, 5563, 5564, 5565, 5566, 5567, 5569, 5570, 5572, 5576, 5578, 5580,
                      5582, 5583, 5584, 5585, 5591, 5594, 5596, 5597, 5598, 5606, 5607, 5609, 5610, 5611, 5612, 5619,
                      5620, 5624, 5626, 5630, 5631, 5633, 5634, 5637, 5638, 5640, 5641, 5645, 5646, 5653, 5654, 5655,
                      5657, 5659, 5660, 5665, 5674, 5675, 5676, 5678, 5681, 5684, 5687, 5688, 5689, 5691, 5693, 5694,
                      5695, 5697, 5698, 5699, 5700, 5705, 5706, 5708, 5710, 5711, 5714, 5717, 5721, 5723, 5725, 5728,
                      5729, 5730, 5731, 5732, 5735, 5738, 5742, 5744, 5748, 5749, 5751, 5756, 5762, 5763, 5767, 5768,
                      5770, 5773, 5780, 5781, 5783, 5787, 5788, 5789, 5790, 5791, 5793, 5799, 5800, 5802, 5803, 5804,
                      5808, 5809, 5810, 5813, 5814, 5815, 5817, 5818, 5819, 5820, 5823, 5824, 5827, 5831, 5832, 5833,
                      5835, 5836, 5837, 5838, 5839, 5846, 5848, 5850, 5851, 5854, 5855, 5856, 5861, 5863, 5866, 5869,
                      5871, 5872, 5873, 5874, 5875, 5878, 5879, 5880, 5883, 5884, 5887, 5888, 5889, 5892, 5895, 5897,
                      5898, 5899, 5901, 5902, 5903, 5905, 5908, 5910, 5911, 5916, 5917, 5919, 5923, 5924, 5928, 5929,
                      5930, 5934, 5938, 5941, 5945, 5947, 5948, 5951, 5952, 5955, 5956, 5957, 5958, 5961, 5962, 5963,
                      5966, 5970, 5971, 5973, 5974, 5978, 5981, 5983, 5986, 5988, 5992, 5996, 5997, 6000, 6001, 6002,
                      6003, 6006, 6013, 6014, 6015, 6017, 6018, 6021, 6022, 6023, 6025, 6027, 6032, 6034, 6035, 6037,
                      6039, 6043, 6045, 6046, 6047, 6048, 6053, 6057, 6060, 6062, 6063, 6067, 6068, 6069, 6071, 6073,
                      6076, 6078, 6084, 6087, 6089, 6093, 6094, 6096, 6098, 6099, 6100, 6101, 6108, 6112, 6119, 6121,
                      6122, 6124, 6126, 6132, 6133, 6135, 6136, 6139, 6143, 6145, 6146, 6148, 6149, 6150, 6152, 6153,
                      6157, 6158, 6162, 6165, 6166, 6167, 6168, 6169, 6170, 6171, 6173, 6176, 6177, 6180, 6191, 6194,
                      6195, 6196, 6197, 6204, 6209, 6211, 6212, 6218, 6219, 6220, 6222, 6223, 6227, 6229, 6231, 6232,
                      6236, 6237, 6242, 6247, 6252, 6253, 6254, 6255, 6257, 6258, 6265, 6266, 6267, 6268, 6276, 6280,
                      6281, 6283, 6285, 6286, 6287, 6288, 6290, 6292, 6293, 6295, 6296, 6298, 6301, 6302, 6304, 6308,
                      6310, 6313, 6315, 6316, 6317, 6320, 6321, 6327, 6328, 6329, 6331, 6332, 6334, 6337, 6341, 6345,
                      6346, 6349, 6352, 6353, 6355, 6356, 6358, 6359, 6360, 6370, 6371, 6373, 6374, 6375, 6378, 6380,
                      6382, 6385, 6387, 6388, 6390, 6391, 6392, 6398, 6401, 6403, 6404, 6407, 6410, 6417, 6423, 6424,
                      6425, 6427, 6430, 6431, 6432, 6433, 6434, 6435, 6436, 6438, 6441, 6442, 6443, 6447, 6448, 6450,
                      6451, 6452, 6454, 6455, 6456, 6457, 6458, 6461, 6462, 6464, 6465, 6467, 6468, 6469, 6471, 6473,
                      6474, 6476, 6477, 6480, 6485, 6486, 6487, 6489, 6490, 6491, 6492, 6494, 6497, 6498, 6500, 6503,
                      6505, 6507, 6509, 6510, 6512, 6515, 6516, 6517, 6519, 6523, 6529, 6532, 6534, 6535, 6536, 6538,
                      6540, 6541, 6542, 6543, 6546, 6548, 6551, 6553, 6554, 6555, 6558, 6561, 6562, 6563, 6566, 6568,
                      6570, 6572, 6573, 6574, 6575, 6580, 6581, 6583, 6584, 6586, 6587, 6590, 6592, 6593, 6594, 6596,
                      6597, 6598, 6600, 6602, 6605, 6607, 6610, 6611, 6612, 6613, 6614, 6615, 6616, 6617, 6618, 6620,
                      6621, 6622, 6623, 6626, 6627, 6628, 6630, 6631, 6634, 6635, 6636, 6638, 6639, 6640, 6643, 6645,
                      6647, 6649, 6650, 6651, 6652, 6654, 6655, 6656, 6662, 6663, 6664, 6666, 6667, 6671, 6672, 6674,
                      6677, 6678, 6679, 6682, 6683, 6684, 6686, 6690, 6691, 6692, 6693, 6695, 6696, 6697, 6698, 6699,
                      6702, 6704, 6708, 6709, 6710, 6711, 6712, 6713, 6714, 6717, 6718, 6722, 6723, 6724, 6725, 6726,
                      6727, 6728, 6732, 6733, 6738, 6740, 6741, 6742, 6743, 6744, 6745, 6746, 6747, 6750, 6752, 6754,
                      6755, 6756, 6757, 6760, 6762, 6765, 6767, 6768, 6769, 6770, 6771, 6772, 6774, 6775, 6776, 6777,
                      6779, 6781, 6783, 6789, 6791, 6792, 6796, 6797, 6798, 6801, 6804, 6805, 6806, 6807, 6809, 6811,
                      6812, 6813, 6815, 6819, 6821, 6822, 6825, 6826, 6830, 6831, 6832, 6833, 6834, 6835, 6837, 6838,
                      6839, 6840, 6841, 6843, 6845, 6846, 6847, 6848, 6850, 6853, 6854, 6856, 6862, 6864, 6867, 6870,
                      6871, 6874, 6875, 6877, 6879, 6880, 6884, 6888, 6889, 6893, 6894, 6900, 6903, 6905, 6907, 6908,
                      6910, 6912, 6913, 6915, 6916, 6918, 6919, 6921, 6922, 6923, 6924, 6925, 6927, 6928, 6930, 6935,
                      6937, 6941, 6942, 6945, 6946, 6948, 6951, 6955, 6961, 6962, 6964, 6965, 6968, 6974, 6977, 6979,
                      6980, 6988, 6991, 6995, 6997, 6998, 7000, 7002, 7003, 7005, 7010, 7011, 7016, 7018, 7019, 7020,
                      7025, 7028, 7029, 7030, 7031, 7032, 7034, 7036, 7037, 7040, 7041, 7044, 7046, 7047, 7049, 7050,
                      7055, 7063, 7064, 7065, 7067, 7069, 7071, 7072, 7074, 7076, 7078, 7082, 7083, 7084, 7085, 7086,
                      7090, 7093, 7098, 7103, 7104, 7105, 7106, 7107, 7110, 7111, 7118, 7120, 7123, 7124, 7125, 7127,
                      7129, 7130, 7131, 7132, 7135, 7137, 7140, 7141, 7142, 7143, 7144, 7146, 7156, 7157, 7159, 7160,
                      7163, 7164, 7165, 7168, 7170, 7171, 7172, 7173, 7174, 7176, 7180, 7182, 7189, 7190, 7191, 7194,
                      7199],
                346: [582, 1208, 2158, 2251, 2338, 2350, 2747, 2847, 3454, 3671, 3852, 4111, 4218, 4364, 4453, 4576,
                      5130, 5282, 5498, 5592, 5627, 5754, 5792, 5801, 6127, 6172, 6317, 6360, 6562, 6657, 7192],
                347: [478, 730, 801, 912, 1475, 2189, 2630, 2703, 2789, 3028, 3609, 3765, 3824, 4019, 4184, 4918, 5163,
                      5432, 6200, 6408, 6488, 6656, 7101, 7103, 7142], 348: [1248, 3131, 5078], 4154: [6172],
                350: [2959, 6797, 7123],
                741: [814, 829, 834, 885, 957, 977, 1026, 1096, 1110, 1192, 1268, 1354, 1401, 1402, 1481, 1522, 1572,
                      1593, 1701, 1814, 1839, 1852, 1901, 1918, 1930, 1964, 2076, 2141, 2145, 2268, 2272, 2302, 2304,
                      2329, 2355, 2412, 2431, 2453, 2500, 2510, 2544, 2641, 2643, 2695, 2714, 2720, 2778, 2783, 2789,
                      2792, 2794, 2852, 2857, 2858, 2871, 2936, 2942, 2961, 2975, 3007, 3026, 3086, 3102, 3112, 3169,
                      3179, 3184, 3209, 3210, 3217, 3267, 3287, 3304, 3398, 3399, 3458, 3477, 3519, 3549, 3550, 3593,
                      3609, 3650, 3671, 3700, 3797, 3922, 3946, 3980, 3983, 4019, 4081, 4089, 4111, 4137, 4194, 4195,
                      4227, 4271, 4328, 4355, 4365, 4439, 4573, 4666, 4771, 4792, 4826, 4849, 4918, 4943, 4969, 4980,
                      5031, 5078, 5139, 5145, 5190, 5271, 5344, 5432, 5440, 5468, 5475, 5525, 5537, 5585, 5714, 5727,
                      5774, 5781, 5788, 5832, 5856, 5871, 5879, 5890, 5901, 5944, 6037, 6143, 6293, 6340, 6354, 6447,
                      6452, 6617, 6656, 6702, 6750, 6791, 6798, 6853, 6905, 6907, 6916, 6948, 6955, 7101, 7158],
                353: [355, 363, 364, 380, 394, 399, 403, 434, 435, 437, 453, 458, 459, 461, 464, 465, 467, 475, 499,
                      508, 509, 512, 516, 517, 519, 531, 550, 566, 582, 594, 597, 612, 620, 629, 644, 652, 658, 675,
                      682, 686, 700, 702, 706, 709, 718, 720, 743, 746, 753, 754, 760, 770, 772, 778, 784, 806, 809,
                      810, 814, 828, 834, 841, 849, 850, 861, 869, 879, 881, 884, 885, 890, 910, 914, 918, 926, 934,
                      940, 941, 942, 952, 958, 962, 967, 972, 977, 985, 991, 994, 997, 998, 999, 1000, 1015, 1018, 1020,
                      1022, 1024, 1025, 1028, 1031, 1057, 1060, 1061, 1062, 1082, 1099, 1106, 1110, 1118, 1137, 1142,
                      1144, 1150, 1153, 1156, 1170, 1189, 1192, 1195, 1201, 1202, 1213, 1219, 1220, 1222, 1243, 1252,
                      1253, 1288, 1292, 1301, 1302, 1309, 1328, 1335, 1339, 1343, 1356, 1360, 1387, 1401, 1403, 1408,
                      1420, 1428, 1431, 1434, 1438, 1449, 1471, 1481, 1485, 1504, 1509, 1522, 1529, 1536, 1564, 1567,
                      1571, 1591, 1593, 1594, 1602, 1616, 1650, 1657, 1659, 1677, 1681, 1690, 1697, 1698, 1701, 1704,
                      1724, 1727, 1732, 1737, 1740, 1743, 1751, 1753, 1771, 1772, 1774, 1795, 1799, 1809, 1810, 1811,
                      1813, 1826, 1827, 1834, 1837, 1847, 1852, 1855, 1856, 1857, 1858, 1861, 1863, 1865, 1868, 1869,
                      1873, 1882, 1884, 1889, 1901, 1911, 1917, 1919, 1921, 1954, 1958, 1961, 1979, 1985, 1987, 2005,
                      2008, 2013, 2014, 2024, 2031, 2042, 2044, 2050, 2076, 2079, 2080, 2089, 2092, 2094, 2109, 2124,
                      2127, 2129, 2141, 2150, 2152, 2158, 2162, 2181, 2194, 2206, 2210, 2227, 2238, 2252, 2274, 2279,
                      2294, 2307, 2318, 2319, 2325, 2334, 2338, 2343, 2350, 2351, 2360, 2367, 2376, 2408, 2416, 2419,
                      2426, 2433, 2440, 2448, 2453, 2455, 2456, 2457, 2460, 2462, 2463, 2465, 2472, 2473, 2481, 2486,
                      2491, 2492, 2494, 2498, 2500, 2511, 2519, 2529, 2537, 2540, 2544, 2557, 2572, 2573, 2609, 2611,
                      2613, 2625, 2626, 2637, 2649, 2650, 2657, 2659, 2668, 2669, 2675, 2679, 2680, 2686, 2734, 2738,
                      2743, 2747, 2749, 2762, 2774, 2775, 2778, 2783, 2785, 2789, 2797, 2811, 2813, 2830, 2847, 2848,
                      2860, 2867, 2870, 2871, 2879, 2886, 2890, 2899, 2900, 2912, 2913, 2930, 2939, 2940, 2942, 2949,
                      2958, 2961, 2963, 2987, 2999, 3002, 3005, 3006, 3014, 3026, 3036, 3049, 3062, 3066, 3087, 3098,
                      3109, 3112, 3119, 3127, 3132, 3133, 3136, 3138, 3155, 3156, 3160, 3179, 3191, 3199, 3209, 3210,
                      3216, 3230, 3242, 3247, 3258, 3264, 3267, 3268, 3269, 3271, 3280, 3287, 3288, 3299, 3306, 3309,
                      3311, 3313, 3314, 3315, 3325, 3336, 3339, 3340, 3342, 3349, 3351, 3354, 3367, 3371, 3374, 3384,
                      3391, 3395, 3398, 3409, 3414, 3426, 3433, 3434, 3435, 3440, 3445, 3446, 3452, 3454, 3461, 3466,
                      3480, 3481, 3485, 3488, 3500, 3505, 3506, 3517, 3518, 3523, 3524, 3525, 3526, 3534, 3536, 3559,
                      3565, 3566, 3576, 3577, 3579, 3587, 3593, 3594, 3595, 3608, 3613, 3624, 3628, 3635, 3636, 3637,
                      3640, 3647, 3671, 3676, 3679, 3684, 3692, 3695, 3703, 3707, 3715, 3732, 3739, 3740, 3741, 3761,
                      3762, 3773, 3775, 3795, 3796, 3807, 3814, 3820, 3852, 3859, 3862, 3863, 3865, 3869, 3873, 3875,
                      3878, 3879, 3895, 3903, 3904, 3924, 3925, 3928, 3930, 3931, 3946, 3949, 3951, 3958, 3965, 3978,
                      3989, 3995, 3996, 4000, 4002, 4003, 4004, 4006, 4008, 4015, 4019, 4028, 4029, 4037, 4044, 4054,
                      4072, 4073, 4074, 4082, 4097, 4105, 4111, 4116, 4119, 4125, 4148, 4153, 4154, 4156, 4160, 4161,
                      4163, 4171, 4189, 4193, 4195, 4197, 4203, 4210, 4211, 4218, 4222, 4227, 4256, 4271, 4280, 4298,
                      4322, 4326, 4328, 4359, 4364, 4370, 4383, 4387, 4399, 4405, 4408, 4435, 4451, 4453, 4467, 4473,
                      4494, 4501, 4516, 4528, 4545, 4558, 4563, 4572, 4576, 4582, 4608, 4622, 4635, 4657, 4672, 4673,
                      4676, 4682, 4687, 4690, 4697, 4704, 4708, 4711, 4713, 4724, 4728, 4738, 4752, 4759, 4763, 4768,
                      4771, 4779, 4785, 4789, 4791, 4795, 4804, 4815, 4822, 4841, 4857, 4859, 4869, 4892, 4893, 4894,
                      4909, 4910, 4927, 4932, 4941, 4951, 4957, 4980, 4993, 5009, 5019, 5022, 5031, 5041, 5056, 5063,
                      5064, 5088, 5095, 5098, 5099, 5102, 5104, 5111, 5128, 5130, 5131, 5133, 5143, 5148, 5159, 5162,
                      5182, 5197, 5203, 5209, 5218, 5221, 5229, 5232, 5243, 5244, 5246, 5252, 5259, 5260, 5263, 5267,
                      5279, 5280, 5282, 5285, 5297, 5311, 5314, 5315, 5328, 5329, 5341, 5342, 5347, 5354, 5371, 5390,
                      5399, 5405, 5406, 5409, 5418, 5429, 5438, 5442, 5450, 5455, 5456, 5466, 5468, 5475, 5483, 5485,
                      5488, 5489, 5493, 5495, 5498, 5503, 5504, 5512, 5525, 5534, 5540, 5541, 5549, 5559, 5572, 5582,
                      5592, 5612, 5614, 5620, 5624, 5627, 5631, 5633, 5636, 5639, 5640, 5641, 5645, 5653, 5656, 5659,
                      5667, 5674, 5678, 5703, 5714, 5725, 5727, 5728, 5732, 5741, 5754, 5756, 5762, 5763, 5770, 5773,
                      5774, 5775, 5780, 5791, 5792, 5797, 5801, 5810, 5826, 5831, 5833, 5839, 5840, 5857, 5871, 5877,
                      5887, 5889, 5897, 5904, 5928, 5938, 5942, 5950, 5955, 5961, 5964, 6025, 6036, 6044, 6050, 6067,
                      6081, 6099, 6101, 6111, 6125, 6127, 6133, 6136, 6137, 6139, 6143, 6146, 6147, 6149, 6159, 6169,
                      6171, 6172, 6185, 6194, 6197, 6199, 6229, 6240, 6242, 6247, 6252, 6257, 6261, 6265, 6266, 6268,
                      6269, 6272, 6273, 6298, 6300, 6303, 6310, 6322, 6323, 6325, 6339, 6346, 6358, 6360, 6363, 6376,
                      6383, 6385, 6388, 6410, 6412, 6414, 6418, 6424, 6434, 6439, 6442, 6443, 6452, 6455, 6469, 6487,
                      6490, 6491, 6503, 6504, 6511, 6523, 6537, 6557, 6562, 6563, 6577, 6601, 6603, 6605, 6610, 6616,
                      6617, 6622, 6648, 6657, 6675, 6699, 6724, 6733, 6738, 6743, 6752, 6754, 6755, 6757, 6762, 6772,
                      6779, 6788, 6791, 6796, 6802, 6807, 6814, 6819, 6821, 6824, 6831, 6845, 6846, 6851, 6853, 6864,
                      6867, 6870, 6876, 6877, 6881, 6898, 6905, 6921, 6922, 6926, 6928, 6932, 6935, 6941, 6942, 6943,
                      6945, 6953, 6955, 6957, 6963, 6977, 6983, 6990, 6997, 7000, 7003, 7004, 7035, 7036, 7037, 7040,
                      7064, 7067, 7070, 7079, 7082, 7083, 7086, 7088, 7093, 7094, 7099, 7104, 7111, 7113, 7114, 7117,
                      7131, 7137, 7158, 7160, 7161, 7162, 7168, 7171, 7172, 7179, 7188, 7192, 7198],
                354: [1110, 1208, 1481, 1498, 1588, 1701, 1857, 1930, 2167, 2519, 2762, 2789, 2852, 2942, 3347, 3879,
                      4163, 4195, 4338, 4666, 5032, 5468],
                6203: [6226, 6273, 6313, 6315, 6320, 6375, 6390, 6408, 6425, 6470, 6488, 6514, 6517, 6538, 6572, 6596,
                       6600, 6628, 6656, 6725, 6744, 6747, 6794, 6801, 6847, 6877, 7003, 7064, 7101, 7103, 7121, 7123,
                       7164, 7169],
                358: [435, 597, 836, 958, 972, 1253, 1343, 1868, 2094, 2158, 2194, 3066, 3351, 3414, 4466, 4576, 5041,
                      5659, 5754, 5904, 6657, 6824],
                359: [1096, 1339, 1593, 1701, 1852, 1919, 2141, 2238, 2544, 3650, 4195, 4355, 5130, 5314, 5468, 5714,
                      5754, 6942], 361: [2679, 5801, 7088],
                4458: [4576, 4595, 4759, 4918, 5468, 5489, 5801, 6942, 7086, 7172], 363: [4218],
                364: [1025, 4046, 5754, 6657], 5604: [5754, 5792, 6657, 6919, 7192], 366: [2504],
                368: [720, 972, 1966, 2141, 2158, 2251, 2376, 3852, 4195, 4364, 5130, 5468, 5483, 5525, 5714, 5754,
                      6317, 6360, 6496, 6657, 7192], 370: [1701, 2677, 3028, 4184, 4318, 4848, 5856, 5858, 7101],
                372: [517, 869, 1309, 1328, 1571, 2141, 2238, 2473, 3112, 3157, 4168, 5078, 5569, 5855, 6143, 6360,
                      7172], 373: [3265, 7123],
                374: [381, 393, 441, 513, 540, 604, 634, 718, 737, 765, 776, 930, 981, 1089, 1127, 1236, 1255, 1464,
                      1505, 1590, 1701, 1759, 1930, 2020, 2060, 2145, 2209, 2335, 2375, 2378, 2381, 2514, 2564, 2604,
                      2638, 2664, 2694, 2698, 2703, 2753, 2789, 2792, 2900, 2993, 3086, 3142, 3158, 3184, 3218, 3519,
                      3529, 3609, 3693, 3709, 3964, 4064, 4137, 4196, 4299, 4304, 4337, 4355, 4374, 4443, 4542, 4745,
                      4848, 4917, 4943, 5074, 5078, 5091, 5179, 5196, 5222, 5304, 5319, 5348, 5413, 5468, 5551, 5665,
                      5779, 5799, 5820, 5835, 5856, 5923, 5934, 5948, 6010, 6107, 6199, 6226, 6287, 6293, 6343, 6373,
                      6470, 6488, 6656, 6672, 6698, 6794, 6810, 6835, 6907, 7010, 7121, 7169],
                377: [957, 2753, 5537, 6360], 379: [3951, 4576, 4789, 5754, 6325, 6511, 7004, 7086], 4476: [4848],
                385: [1403, 1869, 2294, 3517, 3989, 4046, 4097, 4608, 4909, 5627, 6325, 6657, 7113],
                386: [805, 828, 841, 850, 1571, 1586, 1681, 1852, 1919, 2094, 2194, 2440, 2920, 3351, 4218, 4789, 4857,
                      4869, 5267, 5438, 5540, 5627, 5659, 5754, 5904, 6127, 6197, 6657, 7113],
                395: [444, 453, 478, 516, 537, 843, 966, 1026, 1096, 1103, 1354, 1374, 1522, 1572, 1611, 1634, 1679,
                      1701, 1739, 1845, 1900, 1918, 1930, 2141, 2209, 2302, 2304, 2329, 2376, 2425, 2453, 2630, 2659,
                      2677, 2683, 2792, 2794, 2936, 2956, 3010, 3093, 3108, 3169, 3267, 3287, 3305, 3398, 3440, 3519,
                      3570, 3609, 3618, 3647, 3650, 3779, 3797, 4007, 4019, 4081, 4089, 4137, 4182, 4205, 4265, 4304,
                      4355, 4573, 4640, 4952, 4991, 5078, 5213, 5245, 5296, 5393, 5521, 5803, 5820, 5856, 5901, 5916,
                      5923, 5969, 6340, 6408, 6447, 6470, 6488, 6543, 6656, 6702, 6798, 6907, 7002, 7101],
                399: [2141, 3384, 4288, 4789, 5754], 6151: [6642, 7199],
                409: [421, 453, 459, 531, 594, 682, 718, 720, 753, 797, 850, 869, 885, 932, 941, 957, 972, 1038, 1096,
                      1110, 1137, 1195, 1219, 1230, 1239, 1288, 1309, 1339, 1395, 1455, 1481, 1522, 1550, 1571, 1834,
                      1852, 1918, 1919, 2024, 2044, 2080, 2094, 2141, 2158, 2181, 2238, 2251, 2273, 2319, 2351, 2376,
                      2398, 2451, 2459, 2492, 2526, 2582, 2600, 2643, 2686, 2783, 2813, 2847, 2861, 2899, 2962, 3015,
                      3066, 3087, 3112, 3133, 3179, 3200, 3209, 3210, 3267, 3342, 3384, 3454, 3466, 3531, 3534, 3628,
                      3645, 3650, 3769, 3775, 3852, 3872, 3873, 3952, 4002, 4045, 4072, 4082, 4097, 4105, 4111, 4157,
                      4163, 4168, 4189, 4190, 4218, 4271, 4288, 4312, 4318, 4355, 4573, 4576, 4673, 4708, 4724, 4771,
                      4789, 4804, 4859, 4932, 4951, 5040, 5130, 5224, 5232, 5282, 5311, 5314, 5329, 5344, 5371, 5440,
                      5468, 5475, 5483, 5489, 5498, 5584, 5592, 5609, 5655, 5678, 5698, 5714, 5754, 5770, 5773, 5780,
                      5792, 5882, 5904, 5913, 5956, 5961, 5966, 6017, 6037, 6039, 6124, 6127, 6132, 6172, 6185, 6229,
                      6236, 6252, 6327, 6339, 6346, 6360, 6455, 6490, 6566, 6614, 6657, 6671, 6675, 6684, 6757, 6776,
                      6781, 6796, 6805, 6816, 6841, 6870, 6905, 6907, 6915, 6942, 6945, 6955, 7003, 7049, 7079, 7088,
                      7094, 7111, 7137, 7154, 7160, 7172, 7192, 7198], 415: [435, 4576, 5754, 5792, 6935],
                4512: [4608, 4909, 5098, 5282, 6657, 7080],
                418: [435, 597, 722, 727, 836, 841, 850, 937, 965, 982, 1004, 1248, 1446, 1571, 1650, 1795, 1810, 1891,
                      1905, 2050, 2238, 2492, 2557, 2626, 2674, 2705, 2709, 2787, 2904, 3226, 3265, 3414, 3500, 3501,
                      3517, 3777, 3878, 4114, 4117, 4168, 4252, 4283, 4318, 4466, 4657, 4728, 5063, 5096, 5189, 5250,
                      5320, 5420, 5715, 5723, 5754, 6197, 6241, 6603, 6737, 6780, 6824, 6869, 6878, 7075, 7122, 7123],
                419: [1025, 1343, 2152, 2294, 4097, 5282, 5493, 5877, 6323, 6657], 4516: [4576, 5754], 4517: [5096],
                4519: [4622, 7172],
                424: [435, 720, 910, 932, 1132, 1137, 1326, 1441, 1522, 1827, 1858, 1912, 1931, 2092, 2367, 2369, 2673,
                      2769, 2833, 2871, 2893, 2904, 2998, 3109, 3119, 3169, 3266, 3320, 3348, 3384, 3406, 3507, 3529,
                      3551, 3647, 3668, 3674, 3679, 3777, 3946, 4053, 4087, 4168, 4252, 4690, 4799, 4932, 5019, 5020,
                      5080, 5098, 5171, 5280, 5456, 5504, 5525, 5536, 5604, 5754, 5792, 5825, 5909, 5930, 5964, 6236,
                      6449, 6505, 6636, 6657, 6687, 6788, 6919, 6981, 7117, 7192], 425: [1964, 2141],
                6215: [6360, 6490, 6562, 6657, 7004, 7093], 429: [435], 4533: [6878],
                4169: [4972, 5078, 5179, 5966, 6907], 440: [1288, 1328, 4550, 5468, 5754, 6127], 4540: [5254, 6886],
                4547: [4932, 4969, 5190, 5413, 5432, 5468, 5537, 5609, 6048, 6293, 6755], 4548: [5468],
                4855: [6172, 6425, 6725, 7142, 7172],
                5198: [5261, 5525, 5536, 5633, 5656, 5698, 5743, 5756, 5810, 5904, 5956, 5961, 5978, 5995, 6171, 6194,
                       6346, 6600, 6614, 6617, 6738, 6796, 6797, 6921, 6945, 6948, 7093, 7094, 7107, 7137, 7172, 7185],
                4558: [6935],
                4173: [4195, 4196, 4258, 4312, 4318, 4338, 4355, 4367, 4369, 4539, 4573, 4640, 4686, 4773, 4826, 4919,
                       4991, 5028, 5078, 5170, 5211, 5213, 5271, 5282, 5371, 5413, 5459, 5468, 5537, 5655, 5727, 5741,
                       5788, 5800, 5820, 5832, 5913, 5916, 5923, 5966, 5978, 5996, 6008, 6021, 6106, 6165, 6229, 6247,
                       6292, 6319, 6343, 6346, 6415, 6425, 6470, 6488, 6496, 6509, 6543, 6548, 6566, 6594, 6680, 6725,
                       6741, 6804, 6812, 6872, 6896, 6907, 6955, 7034, 7045, 7094, 7101, 7112, 7121, 7141, 7164],
                466: [5754], 470: [568, 1464, 1864, 2104, 3200, 3363, 3368, 4374, 4766, 4937, 5026, 5524, 6219],
                4569: [7101], 6426: [7192], 478: [2630, 7101],
                479: [531, 566, 582, 828, 1153, 1288, 1343, 1657, 1852, 1855, 2089, 2141, 2274, 2338, 2350, 2351, 2376,
                      2494, 2899, 3452, 3454, 3640, 3981, 3982, 4046, 4074, 4097, 4218, 4364, 4576, 4608, 4676, 4690,
                      4789, 4909, 4951, 5098, 5282, 5456, 5483, 5498, 5656, 5754, 5904, 6339, 6490, 6562, 6657, 6814,
                      7049, 7111, 7162], 480: [720, 972, 1593, 2686, 3087, 3374, 4097, 4369, 4789, 4932, 5754, 6490],
                483: [5078], 487: [5754, 7093],
                488: [512, 557, 829, 834, 850, 890, 1014, 1096, 1137, 1192, 1504, 1522, 1593, 1634, 1681, 1852, 1858,
                      1901, 1919, 2076, 2141, 2333, 2376, 2457, 2544, 2579, 2659, 2912, 3119, 3210, 3267, 3287, 3311,
                      3347, 3384, 3398, 3446, 3454, 3650, 3946, 4195, 4227, 4288, 4666, 4759, 4789, 4841, 4932, 4943,
                      5139, 5229, 5311, 5314, 5329, 5432, 5468, 5714, 5879, 6136, 6382, 6754, 6905],
                491: [502, 503, 516, 517, 519, 523, 531, 532, 550, 553, 557, 566, 582, 594, 610, 620, 644, 645, 647,
                      659, 682, 687, 699, 700, 720, 727, 753, 762, 787, 790, 796, 800, 805, 810, 814, 826, 828, 834,
                      850, 863, 869, 873, 885, 890, 903, 910, 914, 918, 921, 926, 932, 934, 937, 957, 958, 972, 979,
                      991, 994, 1012, 1025, 1043, 1061, 1095, 1096, 1110, 1132, 1137, 1153, 1185, 1192, 1193, 1195,
                      1208, 1222, 1239, 1251, 1255, 1260, 1268, 1277, 1288, 1299, 1301, 1302, 1309, 1336, 1339, 1343,
                      1351, 1401, 1402, 1403, 1408, 1414, 1420, 1428, 1434, 1448, 1450, 1453, 1455, 1459, 1478, 1481,
                      1502, 1504, 1506, 1522, 1540, 1571, 1583, 1593, 1681, 1717, 1720, 1751, 1774, 1782, 1786, 1795,
                      1799, 1801, 1809, 1827, 1834, 1837, 1847, 1852, 1855, 1857, 1858, 1859, 1869, 1882, 1891, 1901,
                      1919, 1931, 1946, 1950, 1965, 1990, 2013, 2024, 2036, 2044, 2050, 2076, 2089, 2094, 2100, 2109,
                      2124, 2140, 2141, 2152, 2158, 2217, 2234, 2238, 2251, 2253, 2262, 2273, 2280, 2286, 2307, 2333,
                      2334, 2335, 2345, 2351, 2355, 2360, 2361, 2369, 2371, 2376, 2385, 2408, 2442, 2459, 2473, 2481,
                      2482, 2486, 2491, 2511, 2526, 2537, 2540, 2541, 2544, 2563, 2609, 2650, 2657, 2658, 2673, 2680,
                      2707, 2762, 2783, 2797, 2808, 2813, 2847, 2848, 2858, 2861, 2863, 2870, 2871, 2875, 2879, 2886,
                      2899, 2900, 2903, 2909, 2912, 2919, 2933, 2936, 2939, 2942, 2948, 2949, 2951, 2961, 2987, 3026,
                      3061, 3062, 3066, 3087, 3098, 3102, 3108, 3109, 3112, 3124, 3127, 3128, 3131, 3132, 3144, 3146,
                      3154, 3155, 3157, 3166, 3168, 3179, 3180, 3183, 3184, 3199, 3210, 3247, 3264, 3267, 3268, 3269,
                      3274, 3280, 3292, 3294, 3306, 3309, 3310, 3311, 3314, 3315, 3317, 3323, 3339, 3342, 3347, 3351,
                      3354, 3357, 3384, 3387, 3395, 3398, 3406, 3411, 3424, 3426, 3427, 3434, 3446, 3452, 3466, 3477,
                      3495, 3499, 3500, 3504, 3506, 3518, 3526, 3534, 3550, 3577, 3604, 3618, 3625, 3626, 3628, 3636,
                      3638, 3645, 3650, 3667, 3671, 3679, 3684, 3687, 3692, 3707, 3758, 3760, 3763, 3773, 3775, 3779,
                      3814, 3843, 3852, 3872, 3873, 3878, 3899, 3904, 3912, 3928, 3946, 3951, 3952, 3963, 3965, 3978,
                      3982, 3995, 4000, 4002, 4004, 4006, 4021, 4037, 4053, 4074, 4082, 4086, 4097, 4100, 4105, 4117,
                      4153, 4154, 4157, 4160, 4168, 4190, 4218, 4227, 4271, 4288, 4299, 4312, 4364, 4369, 4383, 4387,
                      4407, 4432, 4453, 4494, 4516, 4539, 4573, 4576, 4608, 4616, 4622, 4652, 4657, 4673, 4676, 4678,
                      4687, 4689, 4690, 4708, 4713, 4728, 4752, 4771, 4779, 4789, 4799, 4804, 4838, 4843, 4853, 4864,
                      4909, 4914, 4922, 4932, 4951, 4957, 5020, 5022, 5032, 5040, 5056, 5060, 5062, 5069, 5098, 5128,
                      5130, 5139, 5171, 5197, 5209, 5224, 5229, 5232, 5280, 5282, 5311, 5313, 5314, 5315, 5320, 5329,
                      5341, 5344, 5347, 5371, 5395, 5411, 5420, 5432, 5438, 5440, 5456, 5466, 5475, 5483, 5485, 5486,
                      5488, 5489, 5499, 5504, 5525, 5538, 5540, 5549, 5572, 5584, 5620, 5625, 5632, 5633, 5645, 5659,
                      5698, 5701, 5714, 5728, 5730, 5732, 5744, 5754, 5770, 5773, 5797, 5808, 5826, 5831, 5832, 5840,
                      5863, 5871, 5882, 5901, 5903, 5904, 5928, 5930, 5945, 5955, 5964, 5966, 5978, 6017, 6025, 6027,
                      6030, 6038, 6039, 6071, 6086, 6124, 6126, 6132, 6139, 6143, 6158, 6172, 6185, 6194, 6223, 6236,
                      6269, 6296, 6310, 6337, 6339, 6346, 6356, 6360, 6382, 6410, 6448, 6449, 6450, 6452, 6457, 6466,
                      6490, 6495, 6501, 6529, 6557, 6562, 6572, 6578, 6600, 6603, 6610, 6614, 6626, 6651, 6662, 6671,
                      6675, 6711, 6724, 6738, 6752, 6754, 6755, 6757, 6762, 6772, 6776, 6788, 6796, 6797, 6802, 6816,
                      6833, 6845, 6851, 6870, 6871, 6905, 6921, 6942, 6945, 6948, 6955, 6962, 6991, 6992, 7074, 7079,
                      7093, 7094, 7104, 7111, 7131, 7137, 7160, 7172, 7192],
                4108: [4111, 4157, 4355, 4539, 4573, 4952, 5078, 5130, 5314, 5392, 5466, 5468, 5655, 5714, 5754, 6496,
                       6905, 6919, 6942, 7055, 7192],
                4591: [4608, 4690, 4850, 5098, 5130, 5209, 5287, 5314, 5498, 5736, 5754, 5954, 5964, 6657, 6898, 6919,
                       7080, 7111, 7113, 7185, 7192], 4592: [5468, 5961], 497: [1153, 5754],
                501: [612, 730, 1558, 1579, 1701, 1901, 1930, 2302, 2362, 2373, 2630, 2659, 2677, 2789, 3313, 3453,
                      3609, 4016, 4300, 4553, 4881, 4918, 5078, 5756, 5779, 6171, 6383, 6488, 7101],
                505: [511, 517, 519, 520, 523, 644, 650, 655, 682, 698, 700, 720, 737, 810, 822, 826, 828, 869, 881,
                      903, 910, 932, 958, 972, 991, 996, 1095, 1101, 1105, 1137, 1192, 1195, 1230, 1239, 1243, 1248,
                      1253, 1255, 1305, 1309, 1310, 1339, 1464, 1481, 1505, 1550, 1571, 1595, 1634, 1681, 1701, 1719,
                      1774, 1799, 1839, 1852, 1856, 1894, 1919, 2036, 2044, 2141, 2155, 2158, 2181, 2207, 2238, 2280,
                      2319, 2339, 2350, 2371, 2398, 2451, 2457, 2459, 2473, 2500, 2520, 2526, 2544, 2609, 2623, 2657,
                      2689, 2746, 2747, 2783, 2789, 2813, 2847, 2858, 2871, 2942, 2998, 3015, 3029, 3036, 3062, 3066,
                      3087, 3110, 3112, 3137, 3157, 3168, 3183, 3200, 3264, 3317, 3354, 3406, 3411, 3450, 3478, 3488,
                      3495, 3529, 3550, 3551, 3618, 3621, 3628, 3640, 3679, 3724, 3777, 3834, 3846, 3852, 3879, 3902,
                      3904, 3909, 3912, 3928, 3929, 3951, 3952, 3982, 4006, 4053, 4093, 4153, 4158, 4168, 4176, 4182,
                      4184, 4195, 4205, 4218, 4288, 4407, 4465, 4559, 4598, 4608, 4616, 4657, 4673, 4690, 4708, 4728,
                      4796, 4799, 4843, 4859, 4882, 4914, 4918, 4932, 4936, 4951, 4957, 4992, 5016, 5031, 5063, 5078,
                      5099, 5130, 5139, 5143, 5171, 5179, 5188, 5209, 5261, 5280, 5311, 5313, 5362, 5387, 5403, 5456,
                      5468, 5489, 5495, 5498, 5504, 5584, 5604, 5616, 5659, 5698, 5723, 5741, 5743, 5754, 5762, 5770,
                      5857, 5882, 5912, 5954, 5961, 5964, 5966, 6017, 6020, 6025, 6038, 6058, 6063, 6071, 6118, 6126,
                      6172, 6197, 6229, 6236, 6257, 6261, 6273, 6286, 6317, 6346, 6348, 6360, 6405, 6406, 6452, 6481,
                      6505, 6541, 6589, 6648, 6657, 6752, 6757, 6788, 6808, 6824, 6833, 6905, 6919, 6921, 6936, 6942,
                      6962, 6987, 6995, 7025, 7083, 7089, 7111, 7113, 7137, 7142, 7172, 7192, 7198],
                4604: [4608, 4789, 4869, 4909, 4997, 5095, 5111, 5260, 5282, 5311, 5347, 5659, 5754, 5756, 5792, 5961,
                       5964, 5982, 6044, 6236, 6360, 6363, 6410, 6490, 6557, 6657, 6773, 6788, 6802, 6845, 6935, 7093,
                       7113, 7192], 4605: [5468, 6360, 6905, 7003, 7192],
                510: [554, 582, 638, 806, 844, 850, 865, 890, 1006, 1022, 1025, 1084, 1187, 1192, 1201, 1219, 1260,
                      1328, 1534, 1602, 1690, 1799, 1855, 1907, 1947, 1948, 2251, 2273, 2319, 2350, 2351, 2408, 2426,
                      2440, 2500, 2602, 2659, 2743, 2747, 2772, 2808, 2860, 2900, 2940, 2958, 3058, 3131, 3313, 3384,
                      3424, 3433, 3695, 3752, 3842, 3851, 3928, 3989, 4097, 4111, 4117, 4133, 4165, 4182, 4195, 4203,
                      4218, 4355, 4364, 4789, 4943, 5010, 5023, 5188, 5282, 5324, 5432, 5468, 5498, 5521, 5754, 5801,
                      5831, 5835, 5857, 5892, 5904, 5944, 6031, 6034, 6139, 6143, 6172, 6252, 6269, 6274, 6292, 6323,
                      6325, 6360, 6383, 6452, 6490, 6562, 6654, 6657, 6684, 6757, 6767, 6791, 6807, 6811, 6832, 6841,
                      6857, 6905, 6935, 7082, 7088, 7090, 7154, 7179, 7188, 7191], 4864: [6942],
                4613: [4972, 5453, 6552, 6775, 6886],
                5200: [5224, 5232, 5261, 5282, 5311, 5314, 5329, 5347, 5371, 5421, 5438, 5475, 5485, 5488, 5489, 5493,
                       5498, 5525, 5592, 5609, 5633, 5659, 5678, 5714, 5727, 5754, 5770, 5773, 5775, 5792, 5826, 5855,
                       5897, 5904, 5961, 6017, 6101, 6124, 6127, 6139, 6143, 6171, 6194, 6222, 6236, 6325, 6346, 6358,
                       6360, 6363, 6412, 6448, 6490, 6491, 6557, 6562, 6614, 6675, 6743, 6755, 6776, 6796, 6853, 6876,
                       6905, 6935, 6942, 6948, 7003, 7086, 7093, 7137, 7160, 7171, 7172], 521: [5078],
                522: [1339, 2141, 2274, 2847, 4355, 5468, 7049],
                4109: [4111, 4119, 4124, 4157, 4161, 4167, 4171, 4189, 4195, 4197, 4200, 4213, 4218, 4222, 4225, 4280,
                       4288, 4298, 4313, 4318, 4326, 4355, 4364, 4369, 4370, 4383, 4387, 4451, 4453, 4494, 4516, 4560,
                       4573, 4576, 4582, 4608, 4657, 4673, 4676, 4687, 4690, 4704, 4708, 4771, 4779, 4789, 4804, 4857,
                       4859, 4862, 4882, 4894, 4909, 4910, 4922, 4927, 4932, 4936, 4943, 4951, 4952, 4980, 4984, 5016,
                       5032, 5041, 5056, 5063, 5098, 5127, 5130, 5133, 5171, 5190, 5197, 5209, 5224, 5232, 5263, 5279,
                       5280, 5282, 5311, 5314, 5329, 5341, 5347, 5371, 5405, 5406, 5409, 5454, 5456, 5466, 5475, 5483,
                       5488, 5493, 5495, 5498, 5499, 5504, 5525, 5536, 5538, 5554, 5582, 5584, 5592, 5640, 5653, 5655,
                       5656, 5659, 5667, 5678, 5714, 5736, 5741, 5743, 5754, 5770, 5773, 5792, 5826, 5839, 5863, 5882,
                       5897, 5904, 5908, 5930, 5954, 5961, 5964, 5966, 5979, 5982, 6006, 6017, 6025, 6030, 6036, 6038,
                       6040, 6108, 6120, 6124, 6127, 6129, 6136, 6137, 6139, 6149, 6158, 6172, 6192, 6197, 6204, 6229,
                       6236, 6247, 6268, 6269, 6310, 6317, 6323, 6327, 6339, 6346, 6360, 6363, 6407, 6427, 6429, 6443,
                       6448, 6455, 6468, 6476, 6490, 6493, 6496, 6511, 6557, 6560, 6562, 6578, 6590, 6610, 6654, 6657,
                       6664, 6666, 6667, 6675, 6676, 6711, 6738, 6752, 6754, 6762, 6771, 6796, 6807, 6824, 6831, 6832,
                       6841, 6845, 6848, 6852, 6853, 6864, 6905, 6917, 6919, 6935, 6942, 6945, 6948, 6963, 6972, 6987,
                       6990, 7000, 7003, 7035, 7044, 7049, 7067, 7080, 7088, 7089, 7093, 7094, 7097, 7099, 7104, 7105,
                       7111, 7112, 7113, 7137, 7141, 7154, 7160, 7172, 7185, 7192, 7196, 7198, 7199], 527: [2630],
                535: [6886], 4634: [5537, 5727, 5901, 6360],
                4186: [4218, 4576, 4608, 4980, 5488, 5754, 5756, 6675, 6942, 7093, 7137, 7172, 7185],
                4638: [4969, 7142], 543: [1572, 1795, 2899, 2900, 4283, 7192], 4643: [6600], 549: [5754, 6905],
                4649: [5179, 5536, 5569, 5770, 6037, 6470], 4653: [4952, 5078, 5190, 5468, 5525, 6172, 6360, 7003],
                562: [1701, 2302],
                4662: [4932, 5062, 5130, 5171, 5246, 5314, 5438, 5466, 5475, 5493, 5659, 5754, 5961, 6236, 6443, 6490,
                       6754, 6935, 6942, 7093], 567: [2500, 2799, 3640, 5754], 570: [5332, 7191],
                571: [594, 720, 806, 941, 972, 1025, 1096, 1110, 1153, 1192, 1247, 1288, 1328, 1690, 1751, 1834, 1852,
                      1919, 2044, 2141, 2158, 2274, 2307, 2319, 2333, 2338, 2350, 2351, 2376, 2500, 2544, 2611, 2650,
                      2686, 2762, 2783, 2847, 2848, 2899, 2900, 2936, 2962, 3280, 3287, 3342, 3424, 3454, 3467, 3504,
                      3671, 3773, 3852, 3951, 4074, 4111, 4157, 4195, 4218, 4288, 4355, 4364, 4369, 4453, 4640, 4676,
                      4789, 4909, 4932, 4943, 5098, 5282, 5314, 5440, 5468, 5483, 5498, 5525, 5656, 5659, 5714, 5754,
                      5773, 5792, 5801, 5904, 6124, 6236, 6360, 6415, 6490, 6491, 6684, 6754, 6905, 6907, 6942, 7003,
                      7088, 7093, 7192], 572: [6657],
                573: [686, 703, 720, 762, 797, 814, 869, 926, 932, 940, 941, 958, 972, 991, 1071, 1096, 1105, 1110,
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                      5698, 5714, 5735, 5754, 5770, 5773, 5791, 5792, 5882, 5901, 5904, 5912, 5923, 5930, 5954, 5966,
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                576: [720, 1131, 1701, 1763, 3347, 3424, 3550, 3928, 3982, 4195, 4312, 4652, 4909, 5023, 5477, 5525,
                      5736, 6236, 6360, 6572, 6657, 6841, 7199], 578: [7101], 4675: [5468], 581: [5754], 4876: [5438],
                587: [618, 730, 829, 1159, 1701, 1811, 2145, 2189, 2500, 2630, 2703, 2789, 2900, 3066, 3093, 3184, 3324,
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                      7003, 7064, 7101, 7121, 7142], 589: [4137],
                592: [1110, 1208, 1522, 2158, 2274, 2338, 2351, 2498, 2747, 2789, 2899, 2900, 2962, 3852, 4111, 4157,
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                6243: [6511], 4693: [6171, 6185, 7172], 4694: [5078, 7123],
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                       4928, 4932, 4937, 4943, 4949, 4951, 4952, 4964, 4968, 4969, 4980, 4991, 5016, 5022, 5023, 5028,
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                       5411, 5413, 5418, 5421, 5422, 5432, 5433, 5436, 5438, 5440, 5454, 5459, 5464, 5466, 5468, 5475,
                       5477, 5483, 5488, 5489, 5490, 5494, 5495, 5498, 5502, 5508, 5521, 5525, 5529, 5531, 5537, 5538,
                       5540, 5554, 5561, 5569, 5584, 5585, 5588, 5592, 5596, 5609, 5616, 5620, 5621, 5624, 5632, 5655,
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                       5827, 5831, 5832, 5835, 5839, 5840, 5851, 5856, 5858, 5869, 5871, 5879, 5882, 5890, 5897, 5899,
                       5900, 5901, 5904, 5905, 5907, 5908, 5911, 5913, 5914, 5916, 5918, 5923, 5928, 5934, 5938, 5944,
                       5945, 5947, 5950, 5952, 5954, 5961, 5966, 5978, 5996, 5999, 6003, 6008, 6017, 6030, 6031, 6034,
                       6037, 6039, 6047, 6051, 6054, 6063, 6071, 6077, 6086, 6122, 6124, 6125, 6127, 6132, 6135, 6137,
                       6139, 6143, 6146, 6158, 6165, 6172, 6180, 6211, 6212, 6213, 6222, 6236, 6252, 6268, 6274, 6286,
                       6293, 6300, 6301, 6311, 6313, 6315, 6317, 6319, 6321, 6331, 6333, 6335, 6337, 6339, 6343, 6345,
                       6346, 6354, 6356, 6358, 6360, 6371, 6372, 6373, 6375, 6380, 6382, 6385, 6404, 6408, 6412, 6415,
                       6422, 6424, 6425, 6434, 6441, 6442, 6446, 6447, 6452, 6458, 6460, 6462, 6466, 6470, 6488, 6496,
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                       6601, 6611, 6631, 6635, 6642, 6645, 6648, 6651, 6654, 6656, 6663, 6664, 6666, 6667, 6671, 6672,
                       6675, 6676, 6680, 6684, 6686, 6687, 6695, 6696, 6702, 6706, 6709, 6714, 6718, 6725, 6727, 6729,
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                       6915, 6916, 6921, 6923, 6924, 6929, 6935, 6941, 6942, 6948, 6955, 6959, 6961, 6962, 6972, 6976,
                       6987, 6992, 6997, 7002, 7003, 7010, 7019, 7029, 7034, 7040, 7049, 7055, 7073, 7074, 7077, 7079,
                       7082, 7083, 7088, 7094, 7095, 7098, 7101, 7107, 7111, 7112, 7142, 7151, 7152, 7153, 7154, 7158,
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                600: [2251, 2789, 5468],
                601: [602, 608, 612, 618, 641, 645, 647, 650, 655, 656, 659, 664, 680, 682, 686, 687, 690, 698, 699,
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                      790, 791, 800, 814, 821, 826, 829, 832, 834, 843, 846, 849, 850, 853, 857, 860, 863, 869, 873,
                      885, 888, 890, 891, 903, 904, 921, 925, 926, 929, 932, 936, 956, 957, 961, 964, 966, 967, 972,
                      977, 981, 991, 995, 997, 1002, 1005, 1012, 1013, 1026, 1030, 1039, 1040, 1043, 1062, 1064, 1074,
                      1080, 1094, 1096, 1101, 1105, 1110, 1119, 1120, 1121, 1124, 1126, 1131, 1132, 1134, 1135, 1141,
                      1144, 1150, 1166, 1172, 1175, 1176, 1188, 1192, 1195, 1201, 1203, 1207, 1208, 1213, 1222, 1227,
                      1228, 1230, 1254, 1255, 1268, 1277, 1288, 1289, 1299, 1300, 1301, 1309, 1315, 1326, 1327, 1333,
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                      1432, 1434, 1450, 1451, 1455, 1459, 1460, 1464, 1467, 1469, 1471, 1481, 1482, 1489, 1491, 1494,
                      1505, 1507, 1515, 1516, 1519, 1522, 1530, 1534, 1535, 1540, 1545, 1550, 1556, 1562, 1564, 1567,
                      1572, 1580, 1588, 1590, 1593, 1594, 1595, 1607, 1610, 1611, 1612, 1620, 1634, 1640, 1661, 1663,
                      1677, 1679, 1681, 1682, 1690, 1696, 1700, 1701, 1702, 1703, 1706, 1711, 1715, 1717, 1718, 1719,
                      1720, 1739, 1748, 1749, 1751, 1753, 1757, 1759, 1773, 1777, 1786, 1801, 1805, 1809, 1811, 1814,
                      1825, 1827, 1834, 1839, 1846, 1857, 1858, 1861, 1862, 1864, 1873, 1883, 1885, 1889, 1890, 1894,
                      1912, 1915, 1916, 1918, 1923, 1942, 1952, 1964, 1965, 1987, 1989, 1990, 1991, 2005, 2006, 2007,
                      2022, 2036, 2041, 2044, 2062, 2067, 2073, 2079, 2080, 2087, 2092, 2100, 2104, 2106, 2112, 2124,
                      2125, 2137, 2140, 2150, 2157, 2158, 2167, 2172, 2178, 2181, 2189, 2190, 2202, 2205, 2207, 2208,
                      2209, 2223, 2228, 2238, 2243, 2251, 2253, 2261, 2268, 2272, 2273, 2274, 2280, 2286, 2289, 2297,
                      2302, 2304, 2305, 2307, 2312, 2316, 2319, 2333, 2338, 2339, 2350, 2351, 2353, 2365, 2367, 2369,
                      2371, 2372, 2376, 2378, 2382, 2391, 2395, 2397, 2398, 2402, 2403, 2404, 2408, 2409, 2412, 2423,
                      2425, 2431, 2433, 2434, 2442, 2447, 2448, 2450, 2451, 2453, 2455, 2463, 2481, 2484, 2486, 2491,
                      2493, 2494, 2497, 2520, 2526, 2533, 2540, 2541, 2544, 2549, 2550, 2553, 2555, 2562, 2563, 2569,
                      2572, 2578, 2581, 2582, 2583, 2590, 2600, 2601, 2602, 2612, 2616, 2619, 2623, 2625, 2629, 2636,
                      2637, 2638, 2639, 2643, 2648, 2649, 2650, 2652, 2659, 2664, 2665, 2668, 2671, 2672, 2673, 2677,
                      2682, 2685, 2686, 2694, 2695, 2698, 2700, 2702, 2703, 2707, 2714, 2719, 2729, 2736, 2744, 2746,
                      2747, 2750, 2753, 2760, 2761, 2762, 2769, 2777, 2781, 2783, 2789, 2790, 2792, 2794, 2798, 2800,
                      2802, 2813, 2818, 2822, 2840, 2847, 2848, 2850, 2852, 2858, 2861, 2864, 2871, 2873, 2875, 2876,
                      2880, 2883, 2886, 2893, 2899, 2900, 2901, 2908, 2912, 2914, 2915, 2919, 2925, 2928, 2930, 2931,
                      2933, 2935, 2936, 2938, 2939, 2956, 2961, 2962, 2970, 2975, 2986, 2993, 3002, 3003, 3005, 3006,
                      3010, 3015, 3019, 3026, 3030, 3031, 3036, 3041, 3052, 3057, 3062, 3063, 3064, 3068, 3069, 3074,
                      3077, 3086, 3087, 3098, 3099, 3100, 3102, 3107, 3108, 3109, 3110, 3112, 3117, 3119, 3121, 3128,
                      3137, 3138, 3155, 3157, 3158, 3164, 3169, 3175, 3179, 3180, 3184, 3199, 3200, 3208, 3209, 3210,
                      3217, 3218, 3220, 3227, 3232, 3247, 3252, 3254, 3257, 3264, 3267, 3268, 3274, 3280, 3285, 3286,
                      3287, 3290, 3292, 3303, 3304, 3305, 3307, 3310, 3317, 3322, 3323, 3324, 3335, 3342, 3347, 3348,
                      3351, 3354, 3358, 3362, 3370, 3384, 3387, 3398, 3399, 3400, 3406, 3412, 3424, 3429, 3434, 3442,
                      3449, 3452, 3454, 3456, 3458, 3467, 3468, 3471, 3473, 3477, 3478, 3480, 3489, 3493, 3494, 3495,
                      3499, 3504, 3505, 3515, 3517, 3518, 3519, 3522, 3526, 3528, 3529, 3534, 3538, 3539, 3544, 3550,
                      3551, 3569, 3570, 3577, 3578, 3586, 3589, 3598, 3600, 3609, 3612, 3613, 3614, 3617, 3618, 3619,
                      3630, 3636, 3641, 3645, 3646, 3647, 3650, 3655, 3667, 3668, 3671, 3674, 3679, 3683, 3687, 3704,
                      3709, 3713, 3715, 3717, 3720, 3733, 3734, 3738, 3741, 3745, 3760, 3764, 3767, 3772, 3779, 3781,
                      3787, 3796, 3797, 3798, 3805, 3809, 3816, 3830, 3832, 3834, 3840, 3843, 3846, 3852, 3857, 3868,
                      3873, 3894, 3902, 3903, 3908, 3912, 3913, 3915, 3918, 3922, 3928, 3929, 3934, 3936, 3937, 3939,
                      3946, 3947, 3949, 3951, 3952, 3960, 3961, 3963, 3970, 3977, 3978, 3980, 3981, 3982, 3987, 3989,
                      3993, 4002, 4003, 4004, 4007, 4019, 4021, 4027, 4035, 4050, 4060, 4066, 4068, 4071, 4075, 4076,
                      4081, 4082, 4083, 4089, 4093, 4097, 4099, 4101, 4103, 4107, 4111, 4113, 4118, 4124, 4148, 4152,
                      4156, 4157, 4167, 4180, 4189, 4195, 4196, 4197, 4205, 4211, 4217, 4218, 4222, 4225, 4227, 4229,
                      4247, 4248, 4256, 4258, 4263, 4264, 4269, 4271, 4273, 4280, 4285, 4304, 4305, 4306, 4312, 4318,
                      4321, 4328, 4333, 4337, 4346, 4348, 4352, 4355, 4359, 4364, 4365, 4367, 4369, 4370, 4376, 4399,
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                      4557, 4566, 4573, 4576, 4603, 4605, 4610, 4611, 4616, 4618, 4619, 4621, 4640, 4648, 4652, 4655,
                      4668, 4671, 4673, 4675, 4676, 4678, 4680, 4687, 4689, 4690, 4724, 4728, 4730, 4735, 4738, 4747,
                      4752, 4756, 4766, 4768, 4771, 4773, 4795, 4798, 4799, 4804, 4805, 4826, 4833, 4835, 4842, 4843,
                      4846, 4849, 4857, 4859, 4861, 4862, 4864, 4867, 4874, 4880, 4882, 4889, 4891, 4898, 4909, 4914,
                      4918, 4919, 4920, 4927, 4932, 4937, 4951, 4952, 4964, 4967, 4969, 4980, 4987, 5016, 5020, 5023,
                      5026, 5028, 5032, 5034, 5035, 5036, 5037, 5040, 5048, 5054, 5057, 5060, 5061, 5076, 5078, 5089,
                      5105, 5111, 5119, 5129, 5130, 5139, 5140, 5149, 5161, 5163, 5168, 5170, 5177, 5181, 5187, 5188,
                      5191, 5192, 5197, 5209, 5211, 5213, 5224, 5234, 5235, 5245, 5254, 5271, 5272, 5275, 5279, 5280,
                      5282, 5283, 5297, 5307, 5313, 5317, 5320, 5322, 5324, 5326, 5328, 5329, 5337, 5341, 5344, 5348,
                      5350, 5355, 5360, 5367, 5370, 5371, 5373, 5374, 5375, 5382, 5383, 5385, 5392, 5399, 5402, 5411,
                      5413, 5421, 5422, 5432, 5437, 5440, 5448, 5454, 5456, 5464, 5466, 5468, 5473, 5475, 5483, 5485,
                      5488, 5494, 5495, 5498, 5501, 5502, 5504, 5509, 5518, 5520, 5525, 5531, 5536, 5537, 5538, 5540,
                      5549, 5551, 5554, 5560, 5561, 5567, 5570, 5580, 5582, 5584, 5588, 5596, 5597, 5612, 5654, 5655,
                      5660, 5663, 5667, 5685, 5698, 5706, 5714, 5727, 5734, 5735, 5742, 5744, 5754, 5770, 5773, 5779,
                      5780, 5781, 5788, 5792, 5800, 5802, 5803, 5816, 5817, 5820, 5825, 5831, 5832, 5835, 5839, 5856,
                      5858, 5861, 5863, 5869, 5871, 5879, 5883, 5886, 5887, 5890, 5897, 5901, 5904, 5908, 5911, 5912,
                      5913, 5914, 5916, 5923, 5930, 5938, 5944, 5945, 5947, 5949, 5954, 5955, 5956, 5961, 5966, 5978,
                      5979, 5982, 5989, 5996, 5997, 5999, 6003, 6008, 6014, 6015, 6017, 6020, 6030, 6037, 6039, 6051,
                      6063, 6071, 6077, 6086, 6099, 6100, 6106, 6120, 6122, 6124, 6126, 6127, 6132, 6136, 6138, 6139,
                      6143, 6146, 6158, 6165, 6169, 6172, 6179, 6180, 6187, 6194, 6210, 6212, 6217, 6220, 6229, 6230,
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                      6322, 6327, 6328, 6330, 6336, 6339, 6340, 6343, 6346, 6349, 6354, 6355, 6356, 6360, 6363, 6371,
                      6373, 6383, 6395, 6403, 6415, 6417, 6418, 6423, 6424, 6425, 6427, 6429, 6430, 6434, 6440, 6447,
                      6449, 6450, 6451, 6453, 6456, 6457, 6460, 6466, 6470, 6476, 6485, 6487, 6488, 6490, 6496, 6501,
                      6509, 6515, 6517, 6523, 6537, 6540, 6543, 6548, 6562, 6563, 6565, 6566, 6571, 6572, 6578, 6583,
                      6587, 6589, 6594, 6596, 6614, 6618, 6636, 6640, 6645, 6648, 6651, 6654, 6655, 6656, 6657, 6664,
                      6671, 6676, 6680, 6687, 6692, 6695, 6697, 6698, 6702, 6724, 6725, 6729, 6730, 6731, 6738, 6741,
                      6744, 6752, 6754, 6767, 6772, 6781, 6788, 6791, 6794, 6798, 6803, 6804, 6805, 6806, 6807, 6808,
                      6810, 6812, 6815, 6816, 6817, 6818, 6821, 6826, 6828, 6832, 6845, 6846, 6851, 6852, 6857, 6864,
                      6870, 6872, 6894, 6905, 6906, 6907, 6915, 6916, 6919, 6922, 6923, 6924, 6930, 6941, 6942, 6944,
                      6945, 6955, 6958, 6962, 6971, 6972, 6974, 6979, 6983, 6985, 6987, 6991, 6997, 7003, 7013, 7019,
                      7030, 7034, 7035, 7040, 7045, 7049, 7055, 7064, 7067, 7068, 7073, 7077, 7079, 7082, 7083, 7090,
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                4705: [4909, 5063, 5104, 5260, 5282, 5422, 5498, 5682, 5741, 5754, 5773, 5775, 5801, 5904, 5979, 6323,
                       6325, 6376, 6491, 6571, 6657, 6814, 6821, 7080],
                4707: [4927, 5020, 5023, 5130, 5923, 5966, 6317, 6470, 6529, 6572, 6833, 6841, 6962, 7049, 7192],
                4709: [6907], 4711: [4759, 7172], 4714: [4789, 5754, 6325, 6360, 6490],
                619: [1550, 1558, 1599, 1827, 2335, 2741, 3609, 4574, 4595, 4765, 4848, 5701, 6600, 6833, 7103],
                5896: [6017, 6143, 6194, 6236, 6360, 6363, 6408, 6412, 6452, 6538, 6610, 6662, 6675, 6771, 7093, 7171],
                621: [634, 720, 790, 795, 828, 869, 926, 932, 1029, 1070, 1096, 1105, 1131, 1132, 1208, 1230, 1282,
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                      6236, 6319, 6332, 6343, 6424, 6488, 6496, 6589, 6657, 6671, 6680, 6681, 6696, 6774, 6807, 6812,
                      6816, 6818, 6834, 6971, 6972, 7045, 7111, 7167, 7199], 623: [4564],
                4721: [5063, 5756, 5857, 7004], 627: [2302, 3650, 4573],
                5566: [5609, 5732, 5801, 5897, 6021, 6143, 6213, 6236, 6303, 6360, 6401, 6452, 6511, 6724, 6754, 6845,
                       6921, 6942, 6957, 7000, 7094, 7172], 635: [2302], 639: [886, 1869, 2194, 2559, 2626, 3878, 5369],
                640: [720, 828, 903, 958, 1132, 1153, 1288, 1966, 2044, 2158, 2339, 2350, 2526, 2623, 2747, 2813, 3517,
                      3640, 4168, 4218, 4608, 4652, 4909, 5320, 5456, 5736, 5754, 5792, 5964, 6363, 6496, 6657, 7113,
                      7192], 641: [4195], 642: [1502, 2626, 7004], 643: [3131, 5569], 647: [1593, 1852, 4195],
                6159: [6455, 6490, 6562],
                4746: [4752, 4754, 4779, 4783, 4787, 4796, 4844, 4853, 4917, 4951, 4957, 5041, 5055, 5063, 5080, 5096,
                       5136, 5182, 5188, 5196, 5203, 5251, 5262, 5280, 5320, 5390, 5406, 5432, 5446, 5450, 5456, 5466,
                       5468, 5488, 5559, 5576, 5592, 5616, 5633, 5642, 5698, 5700, 5702, 5710, 5736, 5754, 5756, 5837,
                       5848, 5900, 5964, 5966, 6017, 6038, 6097, 6120, 6167, 6172, 6197, 6207, 6210, 6243, 6299, 6337,
                       6339, 6363, 6364, 6368, 6373, 6374, 6412, 6449, 6481, 6496, 6515, 6529, 6557, 6571, 6572, 6600,
                       6648, 6653, 6655, 6657, 6737, 6738, 6773, 6780, 6838, 6898, 6919, 6921, 6935, 6943, 6986, 7003,
                       7014, 7017, 7084, 7089, 7093, 7094, 7111, 7113, 7114, 7152, 7153, 7154, 7166, 7185, 7192],
                4749: [5063, 5320], 656: [1025, 2094, 5754, 5792, 6236, 6360, 6490], 658: [4909],
                661: [687, 720, 760, 806, 814, 849, 860, 890, 914, 957, 991, 1061, 1096, 1110, 1153, 1159, 1192, 1220,
                      1239, 1268, 1288, 1301, 1309, 1328, 1339, 1343, 1354, 1395, 1401, 1402, 1481, 1504, 1522, 1571,
                      1587, 1588, 1593, 1616, 1634, 1751, 1811, 1814, 1834, 1852, 1858, 1884, 1901, 1918, 1919, 1930,
                      1964, 1965, 2005, 2094, 2141, 2158, 2274, 2279, 2302, 2319, 2325, 2334, 2338, 2350, 2370, 2376,
                      2453, 2457, 2472, 2481, 2491, 2500, 2519, 2541, 2544, 2643, 2659, 2686, 2694, 2783, 2789, 2847,
                      2886, 2912, 2936, 2956, 2975, 3005, 3026, 3066, 3087, 3098, 3102, 3112, 3155, 3179, 3184, 3199,
                      3209, 3210, 3230, 3267, 3287, 3304, 3310, 3342, 3347, 3351, 3354, 3384, 3398, 3424, 3454, 3493,
                      3515, 3526, 3604, 3618, 3650, 3671, 3740, 3773, 3852, 3915, 3928, 3946, 3951, 3980, 4002, 4004,
                      4019, 4082, 4111, 4189, 4195, 4218, 4227, 4288, 4309, 4312, 4328, 4338, 4355, 4364, 4457, 4573,
                      4616, 4619, 4672, 4676, 4724, 4771, 4789, 4795, 4918, 4932, 4951, 4969, 4980, 5088, 5089, 5130,
                      5139, 5229, 5232, 5261, 5329, 5371, 5438, 5440, 5466, 5468, 5475, 5485, 5488, 5489, 5498, 5525,
                      5531, 5536, 5588, 5609, 5659, 5678, 5698, 5714, 5727, 5732, 5770, 5773, 5774, 5781, 5788, 5792,
                      5879, 5897, 5913, 5938, 5955, 5961, 6039, 6071, 6086, 6124, 6127, 6143, 6146, 6171, 6194, 6229,
                      6257, 6300, 6313, 6325, 6339, 6346, 6360, 6455, 6504, 6511, 6562, 6617, 6651, 6663, 6667, 6684,
                      6702, 6724, 6725, 6752, 6754, 6757, 6762, 6833, 6851, 6853, 6905, 6907, 6921, 6942, 6972, 6991,
                      7003, 7049, 7064, 7079, 7083, 7086, 7094, 7142, 7160, 7172], 4760: [5246],
                4762: [4936, 5793, 6562, 6657, 7093], 4763: [5098, 5282, 5498, 5904, 6339, 6657],
                671: [1930, 2453, 6360, 6907], 4768: [5130, 6127, 6657, 6983], 673: [5857],
                676: [998, 1502, 2094, 2789, 2847, 3066, 5102, 7004, 7088], 678: [4918],
                4780: [4789, 5098, 5182, 5609, 5655, 5678, 5773, 5831, 5897, 5904, 5908, 6247], 4784: [4918],
                689: [3265],
                690: [957, 1096, 1110, 1522, 1918, 2141, 2302, 2376, 3026, 3179, 3398, 3650, 3980, 4573, 5190, 5432,
                      6360, 6776, 6907], 6259: [6360], 4791: [6511],
                4794: [4909, 5098, 5282, 5521, 5525, 5754, 5773, 6440, 6490], 699: [972, 3066, 6360],
                701: [718, 720, 737, 762, 776, 777, 787, 788, 790, 797, 808, 814, 821, 826, 828, 847, 848, 869, 873,
                      903, 921, 924, 926, 931, 932, 937, 941, 946, 958, 972, 1005, 1026, 1038, 1056, 1064, 1089, 1101,
                      1105, 1110, 1125, 1137, 1188, 1195, 1208, 1230, 1277, 1282, 1288, 1289, 1351, 1354, 1395, 1432,
                      1441, 1450, 1455, 1464, 1489, 1492, 1493, 1523, 1534, 1540, 1545, 1548, 1550, 1600, 1606, 1613,
                      1663, 1681, 1682, 1700, 1701, 1717, 1783, 1786, 1827, 1832, 1834, 1864, 1912, 1919, 1925, 1927,
                      1966, 2036, 2060, 2087, 2094, 2100, 2104, 2155, 2158, 2178, 2181, 2218, 2223, 2238, 2280, 2305,
                      2339, 2376, 2398, 2445, 2451, 2459, 2497, 2520, 2526, 2538, 2553, 2557, 2581, 2600, 2604, 2623,
                      2636, 2648, 2652, 2664, 2683, 2685, 2698, 2707, 2729, 2746, 2781, 2787, 2796, 2800, 2813, 2814,
                      2821, 2858, 2864, 2876, 2883, 2893, 2914, 2915, 2925, 2932, 2938, 2962, 2968, 3041, 3066, 3075,
                      3082, 3102, 3119, 3160, 3164, 3180, 3200, 3218, 3220, 3265, 3274, 3317, 3346, 3354, 3357, 3358,
                      3370, 3373, 3402, 3406, 3411, 3441, 3463, 3468, 3494, 3506, 3507, 3514, 3519, 3529, 3550, 3595,
                      3628, 3640, 3648, 3650, 3668, 3752, 3777, 3778, 3781, 3804, 3830, 3840, 3894, 3899, 3912, 3928,
                      3929, 3937, 3941, 3943, 3970, 3978, 3980, 3996, 4053, 4075, 4099, 4108, 4115, 4129, 4133, 4134,
                      4157, 4168, 4218, 4219, 4265, 4269, 4291, 4304, 4318, 4337, 4346, 4352, 4374, 4415, 4438, 4445,
                      4536, 4539, 4559, 4573, 4603, 4616, 4621, 4657, 4673, 4675, 4678, 4752, 4766, 4773, 4796, 4800,
                      4801, 4804, 4843, 4853, 4880, 4909, 4912, 4937, 4952, 4972, 4979, 4987, 5020, 5023, 5026, 5029,
                      5040, 5078, 5139, 5168, 5179, 5187, 5209, 5224, 5233, 5259, 5287, 5320, 5340, 5355, 5362, 5368,
                      5392, 5403, 5415, 5437, 5440, 5468, 5473, 5483, 5484, 5490, 5491, 5494, 5499, 5520, 5538, 5551,
                      5563, 5569, 5570, 5582, 5591, 5604, 5616, 5647, 5655, 5671, 5698, 5754, 5770, 5803, 5856, 5861,
                      5883, 5900, 5901, 5904, 5912, 5916, 5923, 5930, 5954, 5956, 5964, 5966, 5971, 5989, 6014, 6025,
                      6040, 6063, 6124, 6126, 6158, 6186, 6197, 6217, 6219, 6327, 6343, 6349, 6355, 6356, 6360, 6399,
                      6405, 6427, 6429, 6437, 6447, 6481, 6485, 6496, 6505, 6515, 6548, 6552, 6566, 6589, 6618, 6636,
                      6640, 6657, 6660, 6671, 6685, 6704, 6727, 6737, 6740, 6774, 6776, 6794, 6812, 6815, 6816, 6817,
                      6818, 6823, 6831, 6835, 6841, 6910, 6919, 6936, 6942, 6951, 6958, 6962, 6971, 6986, 6987, 6995,
                      7006, 7022, 7029, 7049, 7055, 7066, 7069, 7076, 7084, 7094, 7111, 7115, 7133, 7172, 7185, 7192],
                704: [2626, 5857], 709: [3384, 5354, 5627, 6511], 710: [1858, 3066, 4576, 6194],
                712: [1261, 2958, 3444, 3695, 4163, 4283, 4294, 4909, 6044, 6292, 6302, 6905],
                4810: [4937, 4951, 4972, 5023, 5026, 5028, 5078, 5130, 5209, 5282, 5362, 5392, 5440, 5468, 5483, 5525,
                       5536, 5655, 5698, 5714, 5736, 5754, 5770, 5883, 5901, 5904, 5912, 5923, 5930, 5954, 5966, 5989,
                       6063, 6124, 6126, 6172, 6346, 6349, 6360, 6427, 6455, 6496, 6505, 6548, 6572, 6589, 6657, 6776,
                       6812, 6818, 6841, 6919, 6941, 6972, 6986, 7003, 7049, 7055, 7093, 7094, 7111, 7172, 7192, 7199],
                4811: [7171],
                716: [720, 941, 958, 972, 1025, 1195, 1219, 1698, 2044, 2094, 2129, 2599, 2747, 2749, 2899, 2900, 3640,
                      3951, 4218, 4364, 4516, 4576, 4608, 4690, 4909, 5098, 5442, 5456, 5489, 5715, 5741, 5743, 5754,
                      5833, 6323, 6407, 6563, 6657, 7088, 7113, 7192],
                717: [720, 828, 834, 850, 903, 910, 941, 958, 1027, 1051, 1110, 1153, 1219, 1243, 1288, 1320, 1428,
                      1548, 1571, 1650, 1681, 1732, 1795, 1852, 1868, 1905, 2044, 2158, 2194, 2210, 2238, 2459, 2623,
                      2626, 2639, 2813, 2938, 2954, 3036, 3066, 3087, 3314, 3351, 3628, 3640, 3872, 3904, 4046, 4105,
                      4111, 4117, 4168, 4171, 4218, 4283, 4401, 4559, 4673, 4687, 4779, 4789, 4804, 5041, 5329, 5499,
                      5540, 5642, 5754, 5848, 5901, 5964, 6127, 6197, 6243, 6511, 6648, 6738, 6780, 7000, 7089, 7113,
                      7172],
                724: [885, 890, 967, 1110, 1123, 1208, 1401, 1402, 1481, 1522, 1571, 1702, 1857, 1858, 1901, 2024, 2141,
                      2152, 2158, 2181, 2238, 2253, 2286, 2335, 2369, 2453, 2473, 2481, 2541, 2673, 2695, 2703, 2783,
                      2789, 2871, 2899, 2900, 3066, 3184, 3199, 3311, 3384, 3387, 3550, 3670, 3904, 3980, 4100, 4137,
                      4168, 4195, 4288, 4312, 4364, 4387, 4789, 4969, 5040, 5088, 5091, 5128, 5139, 5177, 5232, 5329,
                      5334, 5342, 5411, 5432, 5438, 5525, 5540, 5549, 5585, 5714, 5773, 5792, 5826, 5955, 6048, 6127,
                      6143, 6194, 6360, 6442, 6578, 6738, 6754, 6907, 7064, 7094, 7137],
                725: [4789, 5468, 5498, 5754, 5904], 6265: [6325, 6360, 6410, 6562, 6796, 7171], 4824: [5456],
                733: [2302, 5468],
                734: [814, 828, 850, 941, 958, 972, 1025, 1027, 1153, 1288, 1309, 1339, 1548, 1571, 1650, 1837, 1919,
                      2044, 2094, 2158, 2181, 2238, 2251, 2350, 2351, 2376, 2492, 2526, 2557, 2563, 2572, 2623, 2657,
                      2686, 2747, 2813, 2847, 2848, 2858, 2899, 3036, 3087, 3157, 3317, 3449, 3454, 3466, 3506, 3576,
                      3640, 3668, 3951, 4082, 4168, 4195, 4218, 4248, 4364, 4369, 4453, 4539, 4652, 4673, 4789, 4857,
                      4909, 5098, 5130, 5197, 5209, 5279, 5282, 5329, 5406, 5409, 5456, 5468, 5495, 5536, 5582, 5655,
                      5656, 5736, 5754, 5773, 5775, 5882, 5904, 5966, 6124, 6197, 6429, 6496, 6657, 6757, 6796, 6807,
                      6814, 6816, 6841, 7049, 7111, 7113, 7172, 7192], 5584: [6360],
                4837: [5754, 5904, 5982, 6657, 7154], 4840: [5468, 6657], 745: [972, 2772, 7137],
                746: [850, 1025, 1309, 1571, 1889, 1901, 1919, 2044, 2141, 2181, 2544, 2847, 3112, 3210, 4000, 4037,
                      4097, 4453, 4759, 5130, 5282, 5438, 5468, 5489, 5498, 5659, 5754, 5773, 5788, 5961, 6127, 6346,
                      6360, 6796, 6905, 6942, 7079, 7093, 7172], 749: [2302, 5432], 751: [1052, 4163],
                4849: [6360, 6905], 4851: [5756],
                757: [972, 1025, 1504, 2351, 3671, 4046, 4909, 5098, 5656, 5904, 6657, 7080],
                4854: [4909, 5314, 5440, 5498, 5727, 5754, 6124, 6346, 6360, 6657, 6853, 6905, 6942, 7049, 7093],
                759: [2630, 4184, 5078, 5857, 7101], 760: [2141], 764: [4554], 6348: [6360, 7093, 7172],
                768: [1339, 3066, 4407, 7093], 771: [3671, 6490], 4868: [6905, 7162], 4870: [5088, 6194, 6360, 6684],
                4871: [5656, 5714, 5741, 5831, 6247], 776: [3650, 5078, 5187],
                4873: [4919, 4952, 4992, 5078, 5098, 5130, 5159, 5311, 5314, 5343, 5438, 5498, 5536, 5580, 5783, 5930,
                       6008, 6129, 6229, 6236, 6247, 6257, 6269, 6339, 6360, 6383, 6415, 6418, 6427, 6449, 6455, 6603,
                       6657, 6675, 6687, 6752, 6788, 6853, 6921, 6935, 6942, 7095, 7192, 7198],
                4875: [5160, 5699, 7090], 780: [1023, 1804, 1891, 2626, 4127, 5069, 5857, 6659, 6813, 6985],
                4878: [7192], 783: [972], 786: [958, 2626, 4153, 5754, 7004], 787: [5904], 788: [3200, 5468],
                789: [4576], 4886: [4918, 5756, 5855, 6167, 6171, 7142, 7172],
                792: [1288, 2094, 2376, 3946, 4608, 4676, 4909, 5130, 5438, 5440, 5488, 5754, 5904, 6360, 6776],
                793: [819, 1025, 1869, 2338, 2351, 3671, 4046, 4909, 5098, 5282, 5347, 5442, 6657, 7080], 794: [5440],
                795: [1096, 1593, 1852, 2141, 2376, 2659, 3210, 3398, 3650, 4195, 4573, 5468, 6143, 7142], 797: [5754],
                799: [1634, 2789, 4918, 5078, 6172, 6488, 7101, 7172],
                4897: [4909, 5098, 5130, 5182, 5209, 5282, 5456, 5466, 5468, 5512, 5754, 5904, 5908, 5961, 6292, 6317,
                       6360, 6490, 6562, 6657, 6684, 6689, 6841, 6919, 6935, 7049, 7086, 7113, 7160, 7162, 7185, 7192],
                4901: [5371, 5493, 5498, 5656, 5773, 5775, 5792, 5801, 5826, 5833, 5913, 6194, 6303, 6325, 6401, 6504,
                       6754, 6845, 6853, 6907, 7003, 7049, 7064], 4904: [5483, 5656, 5714, 5754, 6158, 7192],
                811: [869, 1193, 1571, 1852, 1857, 1858, 2044, 2141, 2376, 2847, 3066, 3131, 3209, 3210, 3311, 3349,
                      3454, 3534, 3763, 3801, 3878, 3989, 4097, 4387, 4576, 4687, 4910, 4932, 5354, 5475, 5743, 5756,
                      6755, 6771, 6957, 7093, 7099, 7137, 7172], 812: [844], 813: [6383],
                6301: [6313, 6317, 6684, 6841, 7049, 7192, 7199],
                4916: [4943, 4980, 5022, 5098, 5130, 5282, 5456, 5468, 5495, 5498, 5503, 5525, 5540, 5627, 5640, 5656,
                       5754, 5773, 5775, 5791, 5792, 5801, 5904, 5908, 6081, 6127, 6171, 6199, 6229, 6267, 6268, 6269,
                       6300, 6490, 6562, 6622, 6657, 6757, 6807, 6841, 6905, 6935, 6942, 7049, 7059, 7074, 7079, 7086,
                       7172, 7192],
                823: [869, 940, 991, 1096, 1110, 1153, 1192, 1195, 1230, 1243, 1288, 1328, 1354, 1558, 1593, 1657, 1717,
                      1763, 1780, 1786, 1827, 1858, 1864, 1873, 1987, 2006, 2044, 2125, 2158, 2251, 2274, 2302, 2334,
                      2342, 2350, 2376, 2451, 2463, 2500, 2526, 2563, 2623, 2636, 2639, 2686, 2694, 2729, 2747, 2769,
                      2783, 2813, 2849, 2899, 2936, 2938, 2962, 3005, 3087, 3102, 3119, 3200, 3210, 3267, 3287, 3317,
                      3347, 3398, 3424, 3458, 3468, 3481, 3485, 3506, 3650, 3671, 3834, 3852, 3929, 3951, 3961, 3978,
                      3980, 4004, 4082, 4111, 4157, 4195, 4218, 4222, 4271, 4355, 4364, 4494, 4536, 4539, 4573, 4673,
                      4773, 4845, 4927, 4937, 4943, 4951, 4980, 5130, 5190, 5209, 5371, 5440, 5454, 5466, 5488, 5498,
                      5525, 5536, 5537, 5596, 5609, 5714, 5736, 5754, 5803, 5871, 5923, 6051, 6124, 6172, 6236, 6247,
                      6339, 6360, 6363, 6415, 6448, 6487, 6496, 6511, 6515, 6572, 6642, 6648, 6654, 6671, 6684, 6709,
                      6738, 6776, 6799, 6821, 6905, 6919, 6942, 6991, 7003, 7049, 7055, 7093, 7166, 7199],
                6964: [7003, 7093, 7094, 7142, 7166, 7172], 4922: [6360],
                4923: [4932, 4943, 4961, 4969, 5001, 5031, 5047, 5090, 5091, 5098, 5102, 5145, 5148, 5171, 5177, 5190,
                       5197, 5218, 5229, 5232, 5246, 5248, 5260, 5261, 5282, 5286, 5293, 5311, 5329, 5344, 5347, 5354,
                       5371, 5418, 5430, 5432, 5438, 5468, 5475, 5489, 5493, 5498, 5503, 5531, 5534, 5540, 5588, 5627,
                       5653, 5656, 5659, 5681, 5684, 5701, 5714, 5723, 5754, 5756, 5773, 5774, 5781, 5788, 5831, 5851,
                       5857, 5889, 5892, 5903, 5911, 5928, 5961, 6017, 6037, 6039, 6044, 6047, 6071, 6101, 6127, 6140,
                       6160, 6169, 6171, 6236, 6253, 6261, 6293, 6345, 6358, 6360, 6383, 6452, 6469, 6491, 6557, 6616,
                       6617, 6675, 6686, 6733, 6755, 6763, 6772, 6796, 6845, 6851, 6921, 6925, 6926, 6935, 6942, 6948,
                       6957, 6963, 6967, 6972, 6997, 7003, 7004, 7016, 7036, 7064, 7082, 7088, 7093, 7105, 7131, 7137,
                       7142, 7160, 7171, 7172], 830: [998, 1571, 2141, 2194, 3066, 5102, 5756], 5600: [5754, 5964],
                4235: [4288, 4453, 4539, 4619, 4771, 4789, 4932, 4943, 4951, 5040, 5139, 5311, 5438, 5475, 5498, 5536,
                       5609, 5754, 5770, 5775, 5792, 5879, 5961, 6124, 6236, 6557, 6731, 6754, 6788, 6905, 6921, 6942,
                       7000, 7166], 7120: [7137, 7162, 7172], 838: [850, 1681, 4218, 4909, 6572],
                839: [1288, 1701, 2778, 4789, 5314, 5468, 5498, 5754, 6490, 6935], 840: [6470, 6886],
                4236: [4796, 4972, 6995, 7101], 4938: [5512, 5627, 5756, 5920, 6325, 6360, 7004, 7093],
                845: [998, 2626, 5743], 847: [5078, 7101],
                4946: [4951, 4952, 4980, 4982, 5016, 5031, 5048, 5064, 5078, 5088, 5089, 5098, 5126, 5130, 5139, 5140,
                       5148, 5170, 5187, 5190, 5209, 5213, 5229, 5234, 5271, 5279, 5282, 5283, 5312, 5313, 5314, 5329,
                       5344, 5371, 5392, 5438, 5440, 5454, 5459, 5466, 5468, 5475, 5483, 5485, 5488, 5489, 5495, 5498,
                       5508, 5521, 5525, 5536, 5537, 5538, 5540, 5554, 5584, 5592, 5596, 5609, 5620, 5624, 5632, 5655,
                       5659, 5698, 5714, 5727, 5754, 5765, 5770, 5773, 5774, 5781, 5788, 5792, 5800, 5804, 5831, 5832,
                       5839, 5840, 5879, 5897, 5899, 5901, 5904, 5907, 5908, 5913, 5938, 5944, 5954, 5956, 5961, 5966,
                       6008, 6036, 6037, 6039, 6077, 6103, 6124, 6127, 6132, 6137, 6169, 6172, 6202, 6213, 6229, 6236,
                       6247, 6261, 6293, 6302, 6311, 6339, 6343, 6346, 6360, 6385, 6415, 6424, 6427, 6447, 6455, 6487,
                       6496, 6504, 6509, 6543, 6562, 6572, 6578, 6583, 6587, 6589, 6611, 6617, 6642, 6654, 6666, 6671,
                       6672, 6687, 6702, 6709, 6729, 6738, 6750, 6752, 6776, 6798, 6799, 6807, 6810, 6812, 6815, 6833,
                       6841, 6844, 6851, 6853, 6870, 6887, 6905, 6907, 6915, 6916, 6921, 6923, 6941, 6942, 6945, 6948,
                       6955, 6983, 6992, 7003, 7010, 7029, 7034, 7049, 7074, 7079, 7083, 7093, 7094, 7110, 7111, 7112,
                       7158, 7162, 7171, 7172, 7188, 7192], 5603: [6293], 857: [1593, 2141, 2302, 2500, 4195, 5432],
                4954: [5098],
                859: [1430, 1571, 1602, 3066, 3104, 3775, 3989, 4097, 4163, 5754, 5857, 5961, 6614, 7004, 7093],
                4959: [5063, 5754, 6603, 6657, 6824],
                6288: [6327, 6360, 6657, 6738, 6757, 6841, 6905, 6945, 7094, 7111, 7113, 7172, 7192],
                867: [1131, 1464, 2451, 2526, 2664, 2814, 3200, 3317, 3529, 5078, 6343, 6774, 6812, 6818, 6835, 7199],
                4965: [5754],
                871: [879, 958, 1852, 1869, 2294, 2749, 3066, 3311, 3517, 3640, 3878, 4097, 4119, 4218, 4576, 4608,
                      5041, 5311, 5754, 6363, 6511, 6557, 7114], 872: [1430, 1868, 2194, 2626, 3640, 3752, 5857],
                874: [2626, 5743],
                4973: [4983, 5004, 5090, 5145, 5159, 5160, 5220, 5246, 5249, 5296, 5298, 5337, 5364, 5393, 5453, 5500,
                       5611, 5621, 5623, 5737, 5767, 5769, 5785, 5815, 5941, 6074, 6093, 6118, 6200, 6226, 6253, 6320,
                       6381, 6408, 6470, 6472, 6480, 6525, 6530, 6532, 6659, 6723, 6725, 6759, 6790, 6872, 6902, 7064,
                       7101, 7121, 7143, 7169],
                4976: [4992, 4993, 5041, 5098, 5102, 5108, 5130, 5143, 5182, 5229, 5243, 5251, 5259, 5260, 5282, 5311,
                       5314, 5347, 5371, 5405, 5409, 5411, 5418, 5429, 5438, 5442, 5454, 5456, 5465, 5468, 5476, 5483,
                       5485, 5489, 5493, 5495, 5498, 5512, 5534, 5541, 5549, 5572, 5609, 5653, 5655, 5656, 5659, 5678,
                       5691, 5706, 5714, 5732, 5741, 5748, 5754, 5770, 5773, 5775, 5791, 5792, 5824, 5889, 5904, 5964,
                       6002, 6036, 6038, 6044, 6122, 6137, 6213, 6227, 6236, 6240, 6247, 6252, 6257, 6292, 6310, 6313,
                       6323, 6325, 6358, 6360, 6362, 6383, 6385, 6401, 6407, 6430, 6490, 6491, 6537, 6557, 6562, 6563,
                       6603, 6605, 6657, 6675, 6684, 6689, 6697, 6706, 6711, 6754, 6757, 6788, 6807, 6814, 6819, 6821,
                       6833, 6841, 6905, 6921, 6923, 6929, 6935, 6972, 6983, 6990, 7001, 7063, 7086, 7088, 7099, 7104,
                       7113, 7114, 7144, 7162, 7171, 7189, 7192, 7199], 4978: [5904, 5923, 6247, 7049], 883: [2641],
                4982: [6905], 887: [2743, 3769, 3852, 6252, 7075], 4985: [5432], 892: [1918, 5961, 6942],
                895: [5468, 6360], 896: [1339, 1701, 2141, 2274, 3313, 4355, 6313], 4993: [5792],
                898: [2034, 2189, 2375, 2630, 7142], 4995: [5525, 5536, 5754, 5792, 6360, 7192],
                4996: [5063, 5098, 5754, 5904, 6172],
                902: [979, 998, 1025, 1243, 1343, 1571, 1704, 1827, 1889, 1919, 2050, 2194, 2421, 2626, 2734, 2747,
                      3087, 3411, 3414, 3517, 3595, 4119, 4218, 4298, 4410, 4453, 4635, 4644, 4822, 4909, 5022, 5056,
                      5063, 5347, 5390, 5456, 5512, 6103, 6143, 6197, 6511, 6943, 7093],
                904: [1127, 1385, 1634, 1701, 1811, 1918, 2412, 2425, 2453, 2477, 2630, 3519, 3609, 3765, 3987, 4826,
                      5078, 5163, 6425, 6470, 6488, 6907, 7002, 7101], 905: [998, 2626],
                5003: [5476, 5964, 6058, 6241, 6341, 6657, 6737, 6773, 6793, 6814, 6878, 6938, 7080, 7109, 7113, 7122],
                6978: [7191], 915: [5488], 5012: [5130, 5468, 5954, 7049, 7172, 7192],
                917: [1661, 1750, 2373, 2630, 2677, 4184, 4918, 5078, 5163, 6408, 6659, 7101, 7121],
                153: [3131, 5410, 6185], 5018: [5091, 5961],
                923: [932, 990, 1005, 1056, 1064, 1101, 1105, 1135, 1195, 1243, 1248, 1277, 1289, 1395, 1410, 1429,
                      1455, 1464, 1505, 1523, 1543, 1572, 1606, 1625, 1679, 1734, 1736, 1754, 1768, 1786, 1788, 1852,
                      1894, 1918, 1924, 2036, 2104, 2181, 2208, 2212, 2223, 2238, 2251, 2268, 2270, 2273, 2305, 2319,
                      2339, 2371, 2412, 2445, 2451, 2497, 2526, 2553, 2623, 2630, 2645, 2648, 2664, 2683, 2746, 2794,
                      2813, 2858, 2864, 2893, 2938, 2978, 3021, 3075, 3093, 3103, 3133, 3137, 3149, 3157, 3169, 3175,
                      3180, 3200, 3220, 3314, 3317, 3354, 3357, 3373, 3377, 3406, 3421, 3463, 3529, 3551, 3570, 3628,
                      3650, 3764, 3777, 3928, 3929, 3943, 3961, 3982, 3998, 4066, 4087, 4089, 4111, 4168, 4184, 4205,
                      4219, 4247, 4265, 4285, 4304, 4318, 4371, 4415, 4438, 4573, 4603, 4657, 4673, 4677, 4796, 4846,
                      4862, 4972, 5031, 5078, 5130, 5193, 5209, 5235, 5245, 5281, 5287, 5355, 5362, 5403, 5459, 5468,
                      5616, 5655, 5671, 5856, 5883, 5912, 5916, 5966, 5978, 5989, 6105, 6126, 6144, 6172, 6204, 6214,
                      6217, 6219, 6271, 6343, 6349, 6360, 6396, 6427, 6437, 6447, 6457, 6470, 6504, 6505, 6552, 6589,
                      6636, 6646, 6676, 6749, 6751, 6776, 6791, 6810, 6812, 6818, 6919, 6986, 6995, 7025, 7066, 7079,
                      7101, 7107, 7111, 7115, 7123, 7132, 7145, 7181, 7192], 924: [5078],
                925: [957, 1127, 1385, 1588, 1634, 1701, 1918, 2062, 2223, 2274, 2302, 2376, 2425, 2500, 2792, 2852,
                      3164, 3650, 4355, 4573, 4640, 5468, 5537, 5908, 5923, 6343, 6360, 6470, 6496, 6509, 6812, 6907,
                      7049], 5025: [5314, 5754, 5792, 6236, 6325, 6490, 6821, 6905, 7162], 932: [7192], 5030: [5754],
                5033: [6360], 938: [1701], 942: [4608, 5754], 943: [1522, 3119],
                944: [958, 979, 982, 996, 997, 998, 1042, 1051, 1100, 1190, 1219, 1220, 1240, 1243, 1253, 1258, 1294,
                      1305, 1320, 1355, 1356, 1387, 1438, 1463, 1502, 1520, 1529, 1532, 1536, 1571, 1614, 1795, 1810,
                      1855, 1863, 1868, 1869, 1889, 1891, 1905, 1906, 2031, 2037, 2044, 2050, 2082, 2084, 2129, 2141,
                      2194, 2210, 2313, 2340, 2343, 2350, 2460, 2465, 2549, 2559, 2570, 2599, 2626, 2705, 2749, 2833,
                      2848, 2904, 2981, 2985, 2998, 3045, 3066, 3207, 3246, 3261, 3265, 3271, 3349, 3391, 3414, 3480,
                      3517, 3525, 3595, 3640, 3775, 3862, 3869, 3878, 3921, 3951, 3975, 3989, 3995, 4044, 4097, 4105,
                      4116, 4119, 4153, 4176, 4210, 4218, 4252, 4283, 4298, 4316, 4319, 4323, 4334, 4340, 4373, 4383,
                      4417, 4465, 4466, 4467, 4528, 4545, 4551, 4563, 4576, 4588, 4598, 4622, 4639, 4641, 4681, 4688,
                      4692, 4704, 4818, 4822, 4831, 4893, 4910, 4915, 4925, 4936, 5006, 5041, 5047, 5063, 5096, 5102,
                      5131, 5143, 5203, 5243, 5244, 5250, 5280, 5311, 5347, 5354, 5406, 5420, 5456, 5601, 5605, 5636,
                      5639, 5642, 5656, 5659, 5679, 5715, 5743, 5754, 5756, 5795, 5857, 5936, 5943, 6058, 6088, 6133,
                      6149, 6181, 6185, 6241, 6341, 6392, 6439, 6486, 6511, 6547, 6557, 6577, 6597, 6603, 6614, 6616,
                      6657, 6699, 6739, 6773, 6780, 6819, 6824, 6829, 6845, 6869, 6878, 6881, 6926, 6957, 6985, 7004,
                      7037, 7046, 7067, 7070, 7086, 7089, 7093, 7099, 7122, 7172],
                5043: [5078, 5432, 5743, 5756, 6017, 6194, 6360, 6406, 6572, 6600, 6655, 6780, 6797, 7076, 7093],
                948: [1441, 1690, 2274, 3640, 4129, 4690, 5098, 5130, 5182, 5456, 5741, 5754, 6317, 6657, 7192],
                5045: [5311, 5432, 5656, 6044, 6127, 6143, 6452, 7070, 7082], 953: [4046],
                954: [972, 1506, 1868, 1919, 2044, 2319, 2371, 2398, 3036, 3628, 3978, 4105, 4111, 4168, 4383, 4494,
                      4573, 5130, 5380, 5406, 5455, 5698, 5743, 5754, 5907, 5961, 6037, 6172, 6197, 6429, 6572, 6738,
                      6905, 6945, 7079, 7137, 7172, 7198], 955: [1852, 5314, 6360],
                956: [2141, 2376, 3398, 4195, 4218, 4369, 5754],
                5053: [5091, 5130, 5190, 5213, 5279, 5313, 5314, 5344, 5355, 5372, 5387, 5440, 5459, 5466, 5468, 5475,
                       5483, 5488, 5508, 5536, 5537, 5540, 5609, 5612, 5678, 5681, 5706, 5714, 5741, 5800, 5804, 5831,
                       5832, 5839, 5851, 5858, 5989, 6021, 6039, 6048, 6171, 6236, 6252, 6317, 6345, 6346, 6360, 6415,
                       6509, 6543, 6562, 6631, 6684, 6687, 6724, 6757, 6776, 6812, 6826, 6828, 6905, 6907, 6946, 6955,
                       6983, 7019, 7045, 7079, 7083, 7112, 7158, 7160, 7164, 7172, 7192], 959: [6127],
                961: [972, 1012, 1096, 1208, 1288, 1309, 1333, 1339, 1351, 1522, 1590, 1593, 1634, 1700, 1701, 1702,
                      1751, 1827, 2044, 2076, 2123, 2141, 2158, 2251, 2274, 2302, 2319, 2338, 2350, 2351, 2369, 2376,
                      2400, 2412, 2451, 2453, 2486, 2491, 2563, 2639, 2686, 2747, 2753, 2762, 2769, 2772, 2813, 2852,
                      2858, 2930, 2936, 2939, 2962, 3026, 3112, 3158, 3199, 3287, 3317, 3347, 3398, 3399, 3477, 3481,
                      3504, 3519, 3618, 3650, 3671, 3779, 3798, 3852, 3928, 3951, 3981, 4082, 4083, 4111, 4189, 4195,
                      4217, 4218, 4271, 4278, 4312, 4355, 4364, 4369, 4539, 4573, 4616, 4640, 4676, 4771, 4789, 4826,
                      4859, 4932, 5105, 5130, 5170, 5209, 5282, 5320, 5329, 5355, 5371, 5440, 5459, 5466, 5468, 5483,
                      5525, 5537, 5540, 5596, 5655, 5714, 5754, 5791, 5856, 5858, 5871, 5890, 5901, 5904, 5913, 5923,
                      5955, 6039, 6172, 6229, 6236, 6339, 6360, 6415, 6424, 6496, 6562, 6654, 6657, 6684, 6687, 6702,
                      6724, 6757, 6807, 6812, 6905, 6907, 6923, 7003, 7045, 7049, 7079, 7083, 7094, 7104, 7111, 7154,
                      7160, 7199], 962: [1343, 1884, 2847, 4097, 7093], 967: [2141],
                973: [1061, 1328, 1504, 1571, 2044, 2141, 2302, 2680, 2789, 3269, 3351, 3426, 3500, 4218, 4576, 4909,
                      5498, 6171, 6360, 6754, 7093], 6170: [6315, 6755, 7142], 5075: [5390, 6771, 7004],
                984: [1153, 4789, 5098, 5904],
                985: [1571, 1855, 1919, 2141, 2457, 3066, 4789, 4909, 4932, 5659, 5754, 5792, 7004, 7093],
                987: [5961, 7004], 4261: [6824], 993: [5078, 5403],
                5092: [5314, 5475, 5609, 5714, 6236, 6360, 6562, 6684, 6905, 6907, 6923, 7093], 5095: [5754],
                5097: [6236, 6563], 1007: [1025, 1504, 2141, 2351, 2789, 4312, 5190, 5229, 5468, 5488, 6725],
                1008: [1701, 1930, 2453, 2778, 3430, 3609, 4434, 4765, 4826, 5078, 5145, 5464, 6488, 7101],
                1010: [3628], 1014: [1852, 2141, 2376, 5525],
                5113: [5287, 5440, 5464, 5665, 5714, 5803, 6292, 6600, 6672],
                1019: [1153, 1701, 2094, 2274, 2338, 2350, 2376, 2537, 2743, 2847, 3454, 3671, 4218, 4453, 4676, 4789,
                       4909, 5282, 5498, 5525, 5754, 5791, 6300, 6325, 6339, 6360, 6490, 6657], 5122: [5754, 6127],
                5131: [5493, 5756, 6185, 6511, 6824, 7004, 7093],
                1036: [1339, 2778, 3036, 3769, 4163, 5468, 6172, 7172], 5490: [5525, 5655, 5714, 7094, 7111],
                5136: [5754, 6017, 6236, 6942],
                1041: [1402, 1481, 1522, 1790, 1858, 1901, 2141, 2453, 2510, 2700, 2789, 3376, 3879, 3946, 3981, 5040,
                       5468, 5475, 5540, 5678, 5897, 6039, 6804, 6907], 5138: [5261, 5609, 5756, 7142],
                1044: [1050, 1052, 1053, 1065, 1070, 1071, 1073, 1075, 1080, 1082, 1084, 1088, 1089, 1092, 1096, 1098,
                       1101, 1102, 1106, 1107, 1110, 1118, 1119, 1121, 1123, 1124, 1126, 1128, 1131, 1132, 1135, 1137,
                       1148, 1150, 1153, 1154, 1166, 1170, 1172, 1173, 1175, 1178, 1179, 1188, 1192, 1193, 1195, 1198,
                       1201, 1202, 1204, 1207, 1208, 1213, 1219, 1221, 1222, 1229, 1230, 1239, 1252, 1254, 1255, 1257,
                       1261, 1272, 1274, 1277, 1279, 1281, 1288, 1289, 1292, 1294, 1299, 1301, 1302, 1303, 1304, 1309,
                       1318, 1321, 1326, 1328, 1332, 1333, 1339, 1346, 1348, 1354, 1372, 1377, 1384, 1385, 1387, 1401,
                       1402, 1411, 1425, 1426, 1432, 1434, 1436, 1440, 1453, 1455, 1458, 1459, 1460, 1464, 1467, 1471,
                       1481, 1482, 1491, 1493, 1495, 1498, 1502, 1504, 1505, 1507, 1508, 1516, 1517, 1522, 1523, 1529,
                       1534, 1535, 1537, 1540, 1545, 1549, 1550, 1552, 1555, 1558, 1564, 1567, 1571, 1572, 1574, 1575,
                       1583, 1584, 1587, 1588, 1590, 1593, 1594, 1610, 1611, 1615, 1616, 1617, 1620, 1634, 1645, 1648,
                       1660, 1663, 1677, 1680, 1682, 1690, 1697, 1699, 1700, 1701, 1702, 1704, 1712, 1713, 1715, 1719,
                       1720, 1724, 1732, 1737, 1742, 1743, 1745, 1748, 1751, 1753, 1754, 1759, 1760, 1772, 1773, 1774,
                       1775, 1779, 1780, 1782, 1784, 1786, 1790, 1797, 1809, 1811, 1814, 1815, 1822, 1827, 1834, 1837,
                       1840, 1843, 1845, 1846, 1850, 1852, 1853, 1858, 1861, 1862, 1864, 1869, 1873, 1875, 1876, 1878,
                       1883, 1890, 1894, 1901, 1911, 1919, 1921, 1923, 1925, 1928, 1930, 1942, 1952, 1964, 1965, 1966,
                       1973, 1981, 1983, 1987, 1992, 1997, 2006, 2016, 2022, 2023, 2024, 2025, 2034, 2036, 2044, 2054,
                       2058, 2062, 2063, 2069, 2070, 2079, 2080, 2092, 2094, 2100, 2104, 2120, 2124, 2125, 2126, 2131,
                       2140, 2141, 2145, 2146, 2150, 2152, 2155, 2157, 2158, 2159, 2161, 2165, 2167, 2172, 2177, 2178,
                       2181, 2185, 2189, 2199, 2207, 2223, 2234, 2243, 2249, 2250, 2251, 2253, 2254, 2259, 2261, 2262,
                       2265, 2267, 2269, 2272, 2273, 2274, 2275, 2276, 2280, 2281, 2285, 2286, 2292, 2294, 2296, 2304,
                       2307, 2308, 2312, 2315, 2316, 2329, 2331, 2332, 2333, 2334, 2335, 2338, 2342, 2343, 2348, 2350,
                       2351, 2353, 2360, 2362, 2367, 2369, 2375, 2376, 2378, 2381, 2385, 2397, 2398, 2400, 2401, 2402,
                       2403, 2404, 2408, 2416, 2418, 2419, 2427, 2431, 2434, 2440, 2443, 2448, 2451, 2453, 2454, 2455,
                       2457, 2463, 2464, 2465, 2473, 2482, 2486, 2491, 2493, 2494, 2498, 2500, 2504, 2510, 2519, 2524,
                       2526, 2529, 2530, 2533, 2540, 2541, 2544, 2563, 2566, 2572, 2575, 2578, 2579, 2581, 2582, 2593,
                       2597, 2598, 2600, 2601, 2602, 2604, 2611, 2612, 2615, 2619, 2621, 2625, 2636, 2637, 2638, 2639,
                       2640, 2643, 2644, 2646, 2650, 2651, 2657, 2659, 2665, 2671, 2672, 2673, 2679, 2680, 2682, 2683,
                       2685, 2686, 2693, 2694, 2695, 2696, 2698, 2699, 2700, 2703, 2707, 2719, 2722, 2729, 2734, 2736,
                       2743, 2746, 2747, 2748, 2761, 2762, 2769, 2774, 2778, 2780, 2781, 2783, 2788, 2789, 2790, 2792,
                       2800, 2802, 2804, 2805, 2808, 2810, 2813, 2814, 2822, 2824, 2825, 2827, 2830, 2832, 2836, 2837,
                       2840, 2847, 2849, 2850, 2852, 2856, 2861, 2862, 2864, 2867, 2869, 2871, 2873, 2874, 2875, 2876,
                       2880, 2886, 2890, 2893, 2899, 2900, 2901, 2903, 2908, 2912, 2914, 2919, 2925, 2927, 2928, 2930,
                       2934, 2936, 2939, 2942, 2949, 2953, 2958, 2961, 2962, 2970, 2975, 2983, 2986, 2987, 2988, 2989,
                       2995, 2999, 3002, 3003, 3005, 3006, 3010, 3014, 3015, 3021, 3024, 3025, 3026, 3031, 3035, 3041,
                       3050, 3052, 3053, 3057, 3062, 3066, 3073, 3074, 3086, 3087, 3089, 3090, 3093, 3098, 3108, 3109,
                       3112, 3113, 3114, 3119, 3127, 3128, 3131, 3132, 3133, 3146, 3152, 3156, 3159, 3160, 3167, 3168,
                       3174, 3179, 3180, 3184, 3187, 3188, 3189, 3197, 3199, 3200, 3209, 3210, 3216, 3217, 3220, 3222,
                       3223, 3228, 3230, 3232, 3236, 3237, 3247, 3254, 3256, 3258, 3263, 3264, 3267, 3268, 3270, 3278,
                       3279, 3284, 3287, 3290, 3294, 3304, 3305, 3307, 3309, 3310, 3315, 3317, 3320, 3323, 3324, 3327,
                       3335, 3336, 3340, 3342, 3344, 3347, 3354, 3358, 3362, 3369, 3370, 3374, 3383, 3384, 3388, 3392,
                       3399, 3400, 3403, 3409, 3411, 3412, 3413, 3414, 3423, 3424, 3426, 3427, 3429, 3430, 3433, 3434,
                       3435, 3436, 3440, 3442, 3446, 3449, 3450, 3452, 3454, 3456, 3458, 3465, 3466, 3467, 3468, 3471,
                       3477, 3478, 3481, 3485, 3492, 3493, 3495, 3497, 3503, 3506, 3517, 3518, 3519, 3522, 3526, 3529,
                       3530, 3538, 3539, 3541, 3544, 3549, 3550, 3560, 3564, 3565, 3569, 3577, 3589, 3593, 3600, 3601,
                       3602, 3604, 3608, 3609, 3613, 3617, 3618, 3619, 3625, 3629, 3630, 3635, 3636, 3640, 3641, 3645,
                       3647, 3650, 3667, 3668, 3671, 3676, 3678, 3679, 3686, 3688, 3695, 3696, 3698, 3707, 3709, 3711,
                       3713, 3715, 3743, 3745, 3753, 3757, 3758, 3760, 3761, 3772, 3773, 3774, 3775, 3777, 3779, 3780,
                       3787, 3795, 3797, 3798, 3804, 3805, 3808, 3809, 3811, 3813, 3819, 3822, 3823, 3829, 3834, 3840,
                       3846, 3849, 3852, 3853, 3857, 3858, 3863, 3872, 3879, 3882, 3886, 3890, 3892, 3898, 3902, 3903,
                       3912, 3915, 3922, 3928, 3929, 3930, 3934, 3937, 3946, 3949, 3951, 3952, 3958, 3961, 3970, 3974,
                       3978, 3980, 3981, 3983, 3989, 3993, 3996, 4002, 4003, 4004, 4006, 4011, 4015, 4019, 4035, 4036,
                       4043, 4045, 4048, 4053, 4054, 4057, 4060, 4068, 4071, 4072, 4073, 4074, 4075, 4078, 4081, 4082,
                       4083, 4089, 4090, 4093, 4097, 4100, 4103, 4111, 4113, 4115, 4117, 4120, 4133, 4151, 4154, 4155,
                       4156, 4157, 4158, 4161, 4163, 4165, 4167, 4175, 4177, 4182, 4183, 4186, 4189, 4194, 4195, 4197,
                       4200, 4202, 4205, 4211, 4216, 4218, 4222, 4225, 4227, 4229, 4247, 4248, 4258, 4262, 4270, 4271,
                       4272, 4273, 4278, 4280, 4284, 4285, 4288, 4291, 4293, 4296, 4297, 4299, 4303, 4304, 4308, 4309,
                       4310, 4326, 4331, 4337, 4344, 4346, 4348, 4349, 4355, 4356, 4364, 4367, 4369, 4370, 4376, 4381,
                       4387, 4392, 4404, 4408, 4422, 4424, 4426, 4432, 4438, 4439, 4440, 4445, 4453, 4465, 4494, 4498,
                       4501, 4513, 4516, 4534, 4537, 4539, 4545, 4546, 4553, 4558, 4559, 4560, 4573, 4576, 4582, 4583,
                       4585, 4605, 4608, 4616, 4635, 4640, 4654, 4666, 4673, 4675, 4676, 4678, 4698, 4704, 4708, 4709,
                       4710, 4713, 4718, 4719, 4722, 4724, 4726, 4736, 4738, 4745, 4752, 4756, 4758, 4759, 4763, 4768,
                       4771, 4778, 4779, 4782, 4783, 4786, 4788, 4789, 4790, 4799, 4800, 4805, 4826, 4830, 4834, 4836,
                       4838, 4841, 4843, 4845, 4849, 4859, 4860, 4861, 4864, 4867, 4869, 4870, 4874, 4880, 4882, 4888,
                       4889, 4891, 4894, 4895, 4898, 4904, 4909, 4910, 4917, 4918, 4920, 4927, 4932, 4934, 4936, 4937,
                       4943, 4949, 4951, 4952, 4958, 4967, 4968, 4969, 4980, 4992, 5012, 5016, 5018, 5020, 5022, 5023,
                       5025, 5026, 5028, 5029, 5031, 5032, 5033, 5034, 5036, 5040, 5058, 5061, 5062, 5073, 5076, 5078,
                       5079, 5085, 5086, 5087, 5088, 5089, 5091, 5092, 5098, 5105, 5106, 5107, 5111, 5117, 5118, 5126,
                       5129, 5130, 5133, 5139, 5141, 5149, 5150, 5154, 5164, 5166, 5168, 5170, 5171, 5177, 5179, 5181,
                       5187, 5188, 5190, 5191, 5196, 5197, 5209, 5211, 5213, 5219, 5224, 5226, 5229, 5230, 5232, 5234,
                       5235, 5249, 5254, 5259, 5261, 5264, 5271, 5272, 5279, 5280, 5282, 5284, 5287, 5289, 5293, 5299,
                       5310, 5312, 5314, 5317, 5319, 5321, 5322, 5324, 5328, 5329, 5334, 5341, 5343, 5344, 5347, 5355,
                       5367, 5368, 5371, 5375, 5385, 5388, 5392, 5398, 5402, 5409, 5411, 5413, 5418, 5421, 5430, 5437,
                       5438, 5440, 5449, 5454, 5464, 5465, 5466, 5468, 5473, 5475, 5477, 5483, 5485, 5486, 5487, 5488,
                       5489, 5490, 5491, 5494, 5495, 5498, 5499, 5501, 5502, 5504, 5508, 5509, 5521, 5523, 5525, 5531,
                       5534, 5536, 5537, 5538, 5539, 5540, 5541, 5549, 5550, 5551, 5552, 5554, 5561, 5579, 5582, 5584,
                       5588, 5592, 5596, 5597, 5604, 5609, 5612, 5619, 5620, 5627, 5632, 5633, 5641, 5646, 5653, 5655,
                       5657, 5659, 5669, 5674, 5678, 5681, 5699, 5706, 5714, 5723, 5724, 5727, 5728, 5732, 5734, 5735,
                       5736, 5741, 5743, 5744, 5747, 5748, 5749, 5751, 5754, 5755, 5760, 5762, 5770, 5773, 5774, 5775,
                       5781, 5790, 5791, 5792, 5798, 5800, 5803, 5806, 5817, 5819, 5822, 5826, 5827, 5831, 5832, 5835,
                       5836, 5839, 5851, 5856, 5858, 5863, 5864, 5871, 5875, 5879, 5882, 5886, 5889, 5890, 5897, 5899,
                       5901, 5904, 5908, 5911, 5912, 5913, 5914, 5916, 5918, 5923, 5928, 5930, 5931, 5938, 5944, 5947,
                       5949, 5951, 5952, 5954, 5955, 5956, 5961, 5966, 5968, 5970, 5976, 5979, 5982, 5989, 5992, 5996,
                       5997, 5999, 6003, 6008, 6012, 6017, 6025, 6027, 6030, 6031, 6036, 6037, 6038, 6039, 6044, 6048,
                       6051, 6054, 6063, 6067, 6071, 6077, 6085, 6086, 6093, 6099, 6103, 6108, 6113, 6120, 6122, 6124,
                       6126, 6127, 6129, 6132, 6136, 6138, 6139, 6141, 6143, 6146, 6150, 6156, 6158, 6159, 6165, 6171,
                       6172, 6179, 6180, 6192, 6196, 6199, 6204, 6210, 6212, 6213, 6222, 6227, 6229, 6232, 6236, 6237,
                       6242, 6247, 6252, 6257, 6259, 6265, 6266, 6268, 6269, 6278, 6287, 6292, 6298, 6299, 6300, 6301,
                       6312, 6313, 6315, 6316, 6317, 6319, 6325, 6327, 6330, 6332, 6336, 6337, 6338, 6339, 6340, 6343,
                       6345, 6346, 6354, 6355, 6356, 6360, 6363, 6370, 6373, 6376, 6382, 6383, 6385, 6401, 6403, 6404,
                       6407, 6411, 6412, 6414, 6415, 6416, 6418, 6419, 6424, 6427, 6429, 6430, 6434, 6440, 6442, 6447,
                       6452, 6455, 6458, 6462, 6470, 6475, 6487, 6488, 6490, 6493, 6496, 6504, 6505, 6507, 6509, 6515,
                       6519, 6537, 6540, 6548, 6552, 6558, 6560, 6562, 6563, 6566, 6568, 6571, 6578, 6579, 6583, 6584,
                       6587, 6590, 6594, 6596, 6601, 6611, 6612, 6618, 6630, 6631, 6635, 6642, 6654, 6656, 6657, 6658,
                       6659, 6662, 6664, 6666, 6667, 6671, 6672, 6675, 6676, 6677, 6679, 6681, 6684, 6685, 6686, 6687,
                       6689, 6692, 6697, 6698, 6702, 6704, 6706, 6707, 6708, 6709, 6711, 6718, 6722, 6725, 6726, 6727,
                       6729, 6730, 6731, 6733, 6740, 6742, 6743, 6752, 6754, 6757, 6763, 6770, 6771, 6772, 6774, 6788,
                       6791, 6796, 6798, 6799, 6805, 6807, 6810, 6815, 6816, 6817, 6818, 6821, 6828, 6831, 6832, 6833,
                       6841, 6844, 6846, 6847, 6848, 6850, 6852, 6853, 6864, 6870, 6873, 6875, 6876, 6879, 6882, 6885,
                       6894, 6901, 6905, 6907, 6915, 6916, 6918, 6919, 6920, 6922, 6923, 6929, 6932, 6935, 6941, 6942,
                       6948, 6953, 6955, 6959, 6961, 6967, 6971, 6972, 6979, 6987, 6990, 6991, 6992, 6997, 7000, 7003,
                       7011, 7019, 7029, 7034, 7035, 7040, 7044, 7049, 7055, 7060, 7064, 7067, 7069, 7071, 7073, 7082,
                       7083, 7086, 7088, 7093, 7094, 7098, 7099, 7101, 7104, 7105, 7107, 7110, 7111, 7112, 7113, 7116,
                       7117, 7121, 7131, 7137, 7141, 7142, 7145, 7152, 7154, 7158, 7160, 7162, 7165, 7166, 7167, 7168,
                       7171, 7176, 7179, 7188, 7190, 7198, 7199],
                1050: [1061, 1096, 1153, 1192, 1195, 1219, 1247, 1288, 1328, 1339, 1343, 1403, 1504, 1593, 1751, 1837,
                       1852, 1911, 1919, 1966, 2024, 2044, 2094, 2141, 2158, 2234, 2238, 2274, 2294, 2338, 2350, 2351,
                       2376, 2457, 2494, 2537, 2544, 2747, 2762, 2775, 2778, 2783, 2813, 2847, 2848, 2899, 2900, 2919,
                       3112, 3258, 3264, 3280, 3311, 3440, 3454, 3461, 3500, 3504, 3506, 3628, 3640, 3671, 3676, 3852,
                       3904, 3946, 3951, 3958, 4046, 4074, 4097, 4111, 4119, 4195, 4218, 4355, 4364, 4453, 4494, 4576,
                       4608, 4676, 4789, 4869, 4909, 4932, 4943, 4951, 5041, 5088, 5098, 5130, 5182, 5282, 5314, 5329,
                       5347, 5371, 5409, 5442, 5456, 5468, 5483, 5488, 5493, 5498, 5525, 5540, 5541, 5655, 5656, 5659,
                       5714, 5736, 5754, 5773, 5791, 5792, 5904, 5964, 6236, 6313, 6325, 6339, 6360, 6363, 6490, 6491,
                       6496, 6511, 6562, 6657, 6738, 6754, 6788, 6796, 6841, 6905, 6935, 6991, 7003, 7049, 7080, 7086,
                       7088, 7093, 7113, 7137, 7162, 7192, 7199], 5149: [5468], 5152: [5459, 5468, 5801, 6317, 6603],
                5153: [5170, 5209, 5314, 5468, 5483, 5525, 5537, 5655, 5714, 5754, 5899, 5904, 5908, 5923, 5978, 6172,
                       6229, 6293, 6360, 6415, 6427, 6509, 6566, 6841, 6846, 6905, 6907, 6916],
                1058: [1258, 1294, 1430, 2424, 2985, 2998, 3066, 4465, 4485, 4598, 4759, 4918, 5261, 5715, 5743, 5857,
                       5920, 6149, 7004],
                5155: [5170, 5190, 5271, 5320, 5329, 5362, 5370, 5413, 5440, 5466, 5468, 5494, 5495, 5537, 5540, 5655,
                       5727, 5770, 5788, 5832, 5856, 5879, 5883, 5901, 5904, 5912, 5945, 5966, 5978, 6037, 6132, 6139,
                       6217, 6274, 6343, 6346, 6349, 6360, 6373, 6404, 6427, 6470, 6488, 6566, 6671, 6725, 6750, 6798,
                       6812, 6815, 6816, 6817, 6833, 6907, 6962, 6979, 6992, 7001, 7025, 7049, 7055, 7083, 7094, 7107,
                       7111, 7172, 7188, 7199], 1065: [1522], 1067: [1481, 2659, 4019, 4918, 6171, 7172],
                1069: [1070, 1071, 1078, 1088, 1093, 1095, 1099, 1101, 1105, 1109, 1112, 1114, 1115, 1122, 1132, 1137,
                       1147, 1153, 1155, 1163, 1170, 1184, 1187, 1188, 1189, 1190, 1191, 1193, 1195, 1199, 1209, 1211,
                       1219, 1220, 1222, 1223, 1224, 1230, 1233, 1235, 1239, 1243, 1245, 1248, 1251, 1253, 1265, 1266,
                       1269, 1275, 1281, 1282, 1283, 1284, 1288, 1289, 1290, 1294, 1295, 1299, 1300, 1302, 1305, 1310,
                       1311, 1317, 1320, 1322, 1323, 1325, 1327, 1329, 1336, 1339, 1342, 1351, 1355, 1356, 1357, 1362,
                       1364, 1365, 1367, 1368, 1369, 1378, 1382, 1386, 1387, 1388, 1389, 1394, 1397, 1400, 1404, 1408,
                       1414, 1415, 1418, 1420, 1421, 1423, 1424, 1427, 1432, 1438, 1441, 1446, 1448, 1449, 1450, 1453,
                       1456, 1457, 1459, 1460, 1463, 1464, 1468, 1476, 1478, 1479, 1482, 1485, 1492, 1493, 1495, 1499,
                       1502, 1505, 1512, 1513, 1519, 1520, 1529, 1531, 1532, 1533, 1534, 1537, 1538, 1540, 1541, 1544,
                       1548, 1549, 1550, 1553, 1571, 1589, 1592, 1600, 1606, 1608, 1609, 1613, 1614, 1619, 1621, 1625,
                       1630, 1631, 1635, 1636, 1638, 1641, 1643, 1650, 1651, 1652, 1654, 1656, 1657, 1658, 1659, 1661,
                       1663, 1671, 1676, 1681, 1683, 1685, 1689, 1693, 1698, 1700, 1705, 1708, 1709, 1710, 1711, 1716,
                       1717, 1718, 1719, 1723, 1724, 1726, 1727, 1735, 1736, 1737, 1742, 1745, 1750, 1752, 1753, 1755,
                       1760, 1761, 1763, 1764, 1767, 1768, 1771, 1776, 1778, 1782, 1783, 1791, 1792, 1793, 1795, 1808,
                       1810, 1815, 1816, 1818, 1819, 1824, 1827, 1829, 1830, 1832, 1841, 1843, 1844, 1846, 1847, 1850,
                       1851, 1852, 1855, 1859, 1863, 1864, 1865, 1868, 1870, 1871, 1881, 1882, 1886, 1887, 1889, 1891,
                       1892, 1895, 1899, 1904, 1905, 1906, 1911, 1912, 1916, 1919, 1920, 1924, 1925, 1927, 1928, 1931,
                       1939, 1941, 1943, 1944, 1945, 1947, 1948, 1950, 1958, 1959, 1960, 1961, 1966, 1972, 1974, 1976,
                       1981, 1990, 1994, 1995, 1998, 2006, 2008, 2012, 2016, 2021, 2031, 2035, 2036, 2037, 2044, 2050,
                       2052, 2053, 2060, 2063, 2072, 2077, 2078, 2081, 2082, 2084, 2087, 2091, 2094, 2115, 2123, 2127,
                       2128, 2129, 2134, 2135, 2140, 2142, 2151, 2155, 2158, 2162, 2163, 2164, 2165, 2170, 2173, 2178,
                       2180, 2181, 2188, 2194, 2195, 2196, 2197, 2200, 2206, 2210, 2218, 2221, 2230, 2232, 2234, 2237,
                       2238, 2241, 2243, 2251, 2258, 2262, 2264, 2277, 2280, 2288, 2291, 2294, 2305, 2310, 2311, 2313,
                       2317, 2330, 2336, 2339, 2340, 2345, 2348, 2350, 2352, 2354, 2359, 2361, 2363, 2366, 2367, 2368,
                       2370, 2371, 2376, 2377, 2380, 2384, 2387, 2391, 2392, 2396, 2398, 2401, 2411, 2414, 2421, 2437,
                       2438, 2441, 2445, 2459, 2461, 2462, 2463, 2464, 2465, 2466, 2473, 2478, 2480, 2482, 2487, 2488,
                       2492, 2497, 2498, 2501, 2502, 2504, 2505, 2508, 2509, 2511, 2512, 2516, 2517, 2520, 2522, 2526,
                       2538, 2545, 2548, 2549, 2553, 2556, 2557, 2559, 2561, 2565, 2570, 2573, 2577, 2582, 2589, 2599,
                       2601, 2609, 2610, 2613, 2618, 2620, 2623, 2626, 2628, 2632, 2636, 2639, 2642, 2644, 2648, 2652,
                       2655, 2657, 2660, 2661, 2663, 2664, 2668, 2669, 2674, 2675, 2679, 2683, 2691, 2693, 2698, 2704,
                       2705, 2711, 2715, 2718, 2722, 2724, 2734, 2742, 2745, 2746, 2747, 2749, 2751, 2766, 2769, 2771,
                       2773, 2774, 2775, 2781, 2787, 2788, 2791, 2793, 2796, 2799, 2803, 2813, 2814, 2815, 2816, 2818,
                       2819, 2821, 2829, 2831, 2833, 2848, 2856, 2859, 2867, 2869, 2870, 2883, 2891, 2893, 2897, 2899,
                       2904, 2911, 2914, 2924, 2926, 2932, 2938, 2945, 2948, 2954, 2955, 2963, 2964, 2968, 2978, 2979,
                       2981, 2985, 2995, 2998, 3006, 3012, 3015, 3024, 3031, 3033, 3036, 3037, 3045, 3048, 3054, 3060,
                       3065, 3066, 3075, 3079, 3082, 3083, 3085, 3087, 3089, 3092, 3124, 3125, 3128, 3131, 3138, 3143,
                       3146, 3157, 3160, 3161, 3165, 3168, 3172, 3180, 3183, 3186, 3190, 3194, 3197, 3200, 3202, 3204,
                       3207, 3211, 3226, 3235, 3238, 3239, 3242, 3246, 3247, 3249, 3258, 3261, 3263, 3264, 3265, 3266,
                       3268, 3269, 3273, 3279, 3281, 3288, 3292, 3306, 3308, 3311, 3314, 3315, 3316, 3317, 3319, 3320,
                       3321, 3331, 3336, 3337, 3339, 3341, 3343, 3344, 3346, 3348, 3349, 3351, 3354, 3356, 3357, 3361,
                       3365, 3367, 3370, 3373, 3377, 3378, 3380, 3382, 3391, 3394, 3396, 3402, 3404, 3406, 3411, 3414,
                       3415, 3417, 3433, 3440, 3441, 3445, 3449, 3450, 3451, 3454, 3456, 3461, 3462, 3468, 3476, 3480,
                       3481, 3482, 3483, 3487, 3488, 3498, 3500, 3502, 3504, 3505, 3506, 3507, 3509, 3512, 3514, 3517,
                       3525, 3527, 3528, 3529, 3534, 3535, 3536, 3538, 3547, 3551, 3552, 3555, 3556, 3557, 3559, 3565,
                       3567, 3571, 3577, 3578, 3582, 3587, 3592, 3595, 3604, 3613, 3623, 3624, 3626, 3628, 3630, 3637,
                       3640, 3648, 3649, 3656, 3663, 3664, 3679, 3681, 3685, 3696, 3703, 3707, 3708, 3710, 3723, 3724,
                       3729, 3747, 3752, 3754, 3756, 3761, 3762, 3769, 3775, 3777, 3778, 3780, 3781, 3784, 3800, 3802,
                       3810, 3825, 3827, 3828, 3832, 3840, 3841, 3842, 3847, 3849, 3851, 3855, 3858, 3862, 3866, 3869,
                       3870, 3875, 3878, 3886, 3893, 3894, 3895, 3896, 3898, 3899, 3901, 3903, 3904, 3907, 3909, 3912,
                       3913, 3914, 3916, 3920, 3921, 3927, 3928, 3929, 3933, 3938, 3940, 3943, 3944, 3945, 3948, 3951,
                       3954, 3958, 3959, 3965, 3966, 3975, 3976, 3982, 3989, 3990, 3995, 3996, 4000, 4003, 4005, 4006,
                       4015, 4018, 4020, 4024, 4026, 4028, 4030, 4032, 4041, 4046, 4047, 4049, 4051, 4053, 4056, 4084,
                       4087, 4092, 4097, 4099, 4104, 4105, 4107, 4108, 4112, 4114, 4116, 4117, 4119, 4125, 4129, 4133,
                       4135, 4142, 4145, 4153, 4154, 4155, 4160, 4162, 4166, 4168, 4171, 4176, 4179, 4182, 4183, 4186,
                       4193, 4197, 4198, 4200, 4203, 4204, 4207, 4210, 4218, 4219, 4221, 4226, 4234, 4236, 4240, 4243,
                       4248, 4251, 4252, 4255, 4259, 4261, 4266, 4268, 4275, 4280, 4281, 4282, 4283, 4288, 4289, 4291,
                       4295, 4298, 4299, 4313, 4316, 4318, 4319, 4322, 4323, 4325, 4326, 4329, 4334, 4340, 4341, 4345,
                       4351, 4363, 4364, 4368, 4371, 4374, 4382, 4383, 4385, 4395, 4404, 4405, 4415, 4428, 4433, 4442,
                       4446, 4453, 4454, 4463, 4465, 4466, 4467, 4470, 4473, 4478, 4479, 4481, 4486, 4494, 4496, 4504,
                       4510, 4512, 4516, 4517, 4521, 4526, 4533, 4545, 4551, 4559, 4562, 4563, 4568, 4570, 4576, 4577,
                       4578, 4579, 4580, 4590, 4591, 4596, 4598, 4604, 4605, 4608, 4612, 4615, 4616, 4625, 4635, 4639,
                       4641, 4648, 4651, 4652, 4656, 4657, 4661, 4663, 4668, 4673, 4675, 4676, 4681, 4682, 4683, 4685,
                       4687, 4688, 4690, 4692, 4697, 4702, 4704, 4708, 4712, 4713, 4719, 4727, 4728, 4734, 4736, 4738,
                       4739, 4752, 4754, 4766, 4768, 4772, 4774, 4779, 4781, 4783, 4784, 4787, 4790, 4791, 4796, 4800,
                       4801, 4802, 4804, 4810, 4815, 4818, 4823, 4824, 4829, 4830, 4831, 4833, 4837, 4839, 4840, 4843,
                       4844, 4845, 4847, 4850, 4852, 4853, 4854, 4862, 4869, 4870, 4872, 4878, 4882, 4893, 4902, 4905,
                       4909, 4910, 4912, 4914, 4915, 4917, 4925, 4931, 4936, 4939, 4941, 4947, 4948, 4951, 4957, 4959,
                       4960, 4965, 4971, 4972, 4975, 4977, 4979, 4984, 4987, 4992, 4994, 4995, 4996, 4997, 4999, 5003,
                       5005, 5006, 5012, 5016, 5026, 5027, 5029, 5030, 5041, 5042, 5043, 5047, 5055, 5056, 5063, 5080,
                       5081, 5083, 5090, 5095, 5096, 5098, 5099, 5101, 5103, 5108, 5109, 5111, 5114, 5120, 5121, 5130,
                       5131, 5133, 5134, 5136, 5143, 5147, 5157, 5161, 5166, 5167, 5169, 5173, 5174, 5179, 5183, 5186,
                       5189, 5193, 5196, 5197, 5203, 5204, 5209, 5217, 5225, 5233, 5238, 5243, 5245, 5250, 5251, 5256,
                       5259, 5262, 5263, 5265, 5268, 5277, 5280, 5287, 5295, 5298, 5301, 5310, 5311, 5316, 5320, 5323,
                       5325, 5330, 5335, 5340, 5341, 5345, 5347, 5349, 5355, 5362, 5363, 5368, 5373, 5378, 5379, 5380,
                       5383, 5386, 5390, 5403, 5405, 5406, 5409, 5410, 5412, 5415, 5420, 5424, 5428, 5430, 5438, 5442,
                       5446, 5447, 5456, 5458, 5465, 5469, 5472, 5476, 5480, 5484, 5488, 5489, 5490, 5491, 5495, 5499,
                       5500, 5504, 5509, 5514, 5520, 5523, 5524, 5525, 5536, 5541, 5543, 5550, 5551, 5552, 5553, 5563,
                       5570, 5571, 5576, 5577, 5578, 5579, 5581, 5582, 5587, 5592, 5594, 5595, 5600, 5601, 5604, 5605,
                       5614, 5615, 5616, 5618, 5622, 5625, 5628, 5633, 5634, 5636, 5638, 5639, 5642, 5645, 5647, 5648,
                       5650, 5651, 5653, 5656, 5658, 5659, 5661, 5662, 5663, 5666, 5669, 5670, 5673, 5676, 5679, 5692,
                       5696, 5698, 5702, 5711, 5713, 5715, 5718, 5720, 5723, 5725, 5732, 5733, 5735, 5736, 5737, 5741,
                       5743, 5745, 5747, 5752, 5754, 5755, 5756, 5757, 5760, 5761, 5764, 5769, 5775, 5776, 5778, 5783,
                       5786, 5792, 5793, 5794, 5797, 5808, 5812, 5818, 5825, 5826, 5830, 5833, 5834, 5848, 5860, 5861,
                       5870, 5878, 5882, 5900, 5904, 5909, 5912, 5915, 5926, 5927, 5930, 5931, 5932, 5936, 5937, 5939,
                       5940, 5943, 5949, 5953, 5954, 5957, 5959, 5964, 5966, 5968, 5972, 5976, 5979, 5982, 5984, 5989,
                       5994, 5998, 6000, 6002, 6004, 6009, 6011, 6013, 6014, 6019, 6020, 6025, 6027, 6028, 6029, 6030,
                       6033, 6035, 6038, 6040, 6051, 6058, 6061, 6063, 6067, 6070, 6072, 6079, 6080, 6087, 6088, 6091,
                       6093, 6094, 6095, 6097, 6102, 6105, 6111, 6113, 6114, 6118, 6119, 6120, 6121, 6124, 6126, 6129,
                       6133, 6134, 6142, 6144, 6149, 6150, 6158, 6162, 6172, 6174, 6177, 6179, 6181, 6184, 6185, 6187,
                       6188, 6192, 6197, 6201, 6204, 6206, 6207, 6210, 6215, 6217, 6219, 6221, 6230, 6231, 6233, 6234,
                       6236, 6241, 6243, 6246, 6249, 6251, 6258, 6261, 6269, 6270, 6272, 6273, 6275, 6278, 6282, 6299,
                       6305, 6306, 6307, 6322, 6323, 6326, 6327, 6328, 6336, 6341, 6348, 6349, 6355, 6357, 6361, 6362,
                       6363, 6364, 6374, 6376, 6379, 6384, 6389, 6395, 6399, 6400, 6405, 6406, 6413, 6414, 6421, 6422,
                       6429, 6431, 6433, 6437, 6439, 6443, 6444, 6448, 6449, 6468, 6475, 6476, 6479, 6481, 6486, 6493,
                       6500, 6503, 6504, 6505, 6508, 6511, 6519, 6520, 6526, 6529, 6533, 6537, 6539, 6541, 6542, 6544,
                       6546, 6550, 6551, 6552, 6553, 6554, 6557, 6561, 6565, 6567, 6572, 6575, 6576, 6582, 6584, 6585,
                       6588, 6589, 6591, 6597, 6600, 6603, 6605, 6614, 6624, 6636, 6644, 6648, 6653, 6655, 6657, 6658,
                       6660, 6661, 6673, 6675, 6685, 6689, 6691, 6693, 6694, 6711, 6719, 6727, 6728, 6734, 6736, 6737,
                       6739, 6745, 6749, 6751, 6754, 6758, 6766, 6773, 6776, 6780, 6785, 6788, 6792, 6793, 6800, 6802,
                       6814, 6816, 6818, 6819, 6822, 6824, 6829, 6830, 6831, 6832, 6835, 6842, 6848, 6849, 6855, 6856,
                       6861, 6863, 6867, 6869, 6873, 6875, 6876, 6878, 6880, 6882, 6883, 6885, 6891, 6892, 6898, 6899,
                       6901, 6906, 6910, 6913, 6917, 6919, 6920, 6921, 6926, 6929, 6933, 6936, 6938, 6939, 6940, 6943,
                       6952, 6953, 6957, 6958, 6960, 6962, 6967, 6969, 6971, 6973, 6983, 6986, 6987, 6990, 6991, 6994,
                       6995, 6999, 7000, 7004, 7005, 7006, 7014, 7022, 7023, 7024, 7025, 7026, 7030, 7035, 7037, 7038,
                       7042, 7046, 7048, 7061, 7067, 7070, 7075, 7080, 7084, 7087, 7088, 7089, 7093, 7097, 7099, 7102,
                       7109, 7111, 7113, 7114, 7115, 7117, 7122, 7133, 7135, 7137, 7139, 7147, 7148, 7149, 7151, 7152,
                       7153, 7155, 7156, 7172, 7175, 7179, 7183, 7184, 7185, 7192, 7196, 7198, 7199], 1070: [5314],
                5167: [5203, 5221, 5229, 5240, 5243, 5244, 5251, 5263, 5268, 5280, 5311, 5315, 5347, 5354, 5418, 5420,
                       5438, 5488, 5489, 5493, 5498, 5525, 5534, 5572, 5615, 5636, 5639, 5642, 5656, 5659, 5691, 5710,
                       5736, 5754, 5756, 5774, 5775, 5782, 5792, 5797, 5801, 5826, 5833, 5964, 5982, 6025, 6044, 6058,
                       6067, 6070, 6097, 6111, 6120, 6127, 6133, 6137, 6140, 6142, 6143, 6160, 6206, 6241, 6243, 6275,
                       6322, 6323, 6325, 6363, 6376, 6410, 6439, 6443, 6448, 6490, 6511, 6557, 6577, 6603, 6610, 6614,
                       6617, 6657, 6754, 6773, 6780, 6802, 6814, 6819, 6824, 6845, 6867, 6869, 6876, 6881, 6898, 6911,
                       6917, 6957, 6967, 6984, 7000, 7004, 7037, 7070, 7075, 7080, 7093, 7097, 7099, 7113, 7114, 7122,
                       7185], 1072: [2626], 1074: [1110, 1402, 1593, 3210, 3671, 4195, 6293, 6360],
                1078: [1219, 1253, 1403, 1650, 1868, 2094, 2194, 2626, 2772, 2847, 3066, 3157, 3500, 3775, 3989, 4037,
                       4043, 4097, 4117, 4469, 4516, 4576, 4657, 5489, 6346, 6657, 6796, 6824, 6848, 7093, 7172],
                1079: [3210, 6360, 6905, 7172],
                5176: [5185, 5189, 5193, 5203, 5214, 5217, 5225, 5228, 5232, 5238, 5240, 5243, 5244, 5246, 5250, 5251,
                       5252, 5260, 5263, 5267, 5268, 5273, 5274, 5280, 5295, 5301, 5311, 5315, 5323, 5325, 5334, 5341,
                       5345, 5346, 5347, 5376, 5384, 5386, 5388, 5390, 5405, 5406, 5420, 5438, 5442, 5447, 5456, 5469,
                       5476, 5487, 5489, 5493, 5496, 5498, 5499, 5503, 5516, 5541, 5543, 5550, 5578, 5582, 5583, 5592,
                       5594, 5601, 5602, 5604, 5605, 5615, 5617, 5619, 5622, 5625, 5627, 5631, 5633, 5634, 5636, 5639,
                       5641, 5642, 5653, 5656, 5658, 5659, 5662, 5667, 5669, 5670, 5673, 5691, 5695, 5701, 5708, 5710,
                       5713, 5715, 5723, 5725, 5728, 5730, 5732, 5737, 5741, 5743, 5745, 5748, 5752, 5753, 5754, 5756,
                       5760, 5761, 5769, 5773, 5775, 5794, 5797, 5801, 5818, 5826, 5833, 5834, 5838, 5846, 5848, 5857,
                       5860, 5864, 5871, 5877, 5878, 5892, 5894, 5898, 5912, 5915, 5919, 5920, 5926, 5928, 5937, 5942,
                       5943, 5964, 5976, 5991, 5994, 5995, 6004, 6006, 6007, 6009, 6019, 6020, 6025, 6027, 6028, 6029,
                       6033, 6035, 6038, 6040, 6042, 6057, 6058, 6059, 6067, 6070, 6079, 6083, 6087, 6088, 6094, 6095,
                       6096, 6097, 6102, 6104, 6111, 6114, 6119, 6121, 6125, 6133, 6142, 6144, 6149, 6159, 6161, 6162,
                       6167, 6171, 6172, 6173, 6174, 6177, 6181, 6185, 6192, 6194, 6197, 6198, 6204, 6206, 6218, 6223,
                       6231, 6233, 6236, 6241, 6243, 6251, 6258, 6261, 6266, 6273, 6275, 6280, 6299, 6303, 6305, 6306,
                       6310, 6322, 6323, 6326, 6327, 6341, 6344, 6347, 6357, 6362, 6376, 6388, 6400, 6401, 6405, 6407,
                       6409, 6433, 6434, 6439, 6443, 6444, 6448, 6455, 6474, 6476, 6479, 6481, 6486, 6490, 6491, 6493,
                       6500, 6511, 6519, 6520, 6528, 6529, 6531, 6533, 6534, 6537, 6546, 6547, 6550, 6551, 6554, 6557,
                       6560, 6565, 6567, 6577, 6586, 6588, 6590, 6591, 6597, 6600, 6603, 6605, 6607, 6610, 6615, 6616,
                       6624, 6626, 6653, 6655, 6657, 6675, 6691, 6693, 6699, 6711, 6721, 6722, 6724, 6727, 6733, 6736,
                       6737, 6739, 6746, 6749, 6754, 6758, 6762, 6766, 6771, 6773, 6776, 6780, 6788, 6793, 6796, 6802,
                       6809, 6811, 6813, 6814, 6819, 6822, 6824, 6825, 6829, 6830, 6831, 6842, 6845, 6849, 6867, 6869,
                       6873, 6877, 6878, 6880, 6881, 6892, 6898, 6917, 6919, 6925, 6926, 6932, 6938, 6939, 6943, 6945,
                       6950, 6953, 6954, 6957, 6963, 6969, 6990, 6991, 6994, 6999, 7000, 7004, 7016, 7023, 7024, 7033,
                       7036, 7037, 7046, 7053, 7067, 7070, 7071, 7075, 7084, 7085, 7087, 7088, 7089, 7092, 7099, 7113,
                       7114, 7122, 7123, 7125, 7135, 7137, 7148, 7156, 7166, 7172, 7178, 7189, 7192, 7198],
                1086: [2094, 2238, 2626, 2775, 2789, 3131, 3928, 4117, 4283, 4704, 5063, 5390, 5595, 5756, 7107],
                5183: [5754], 1088: [3778],
                1094: [1522, 1593, 1858, 2376, 2813, 3087, 3210, 3267, 3506, 4195, 5525, 5754, 6360, 6754, 6921],
                7009: [7040, 7079, 7082, 7086, 7093, 7112, 7123, 7142, 7172], 1102: [7101],
                1104: [2238, 2302, 4195, 5537, 6127, 6360],
                5202: [5209, 5347, 5412, 5438, 5440, 5498, 5525, 5633, 5714, 5743, 5754, 5791, 5792, 5904, 5923, 5978,
                       6017, 6094, 6124, 6236, 6360, 6368, 6407, 6448, 6490, 6496, 6557, 6657, 6671, 6685, 6754, 6788,
                       6796, 6802, 6816, 6831, 6929, 6935, 6942, 6990, 7003, 7074, 7093, 7094, 7111, 7113, 7114],
                1111: [1127, 6826, 6886], 1112: [2094, 4789, 6657, 7088], 1113: [2351, 2986, 3292, 3640, 5706, 6704],
                1115: [1464, 1701, 2451, 3200, 3529, 6343, 6496, 6818, 6835, 7192], 5212: [5616],
                1119: [2274, 2338, 2900, 3852, 4789, 5282, 5483, 5498, 5792, 6907], 5217: [6824, 7004],
                1122: [1253, 1919, 2141, 2158, 2376, 2498, 3315, 3628, 4074, 4576, 4608, 4657, 4690, 4789, 5130, 5468,
                       6127, 6657, 6754, 7172, 7192], 1124: [1593, 2302, 6360, 7003], 1126: [4195, 5540],
                1128: [3267, 3671, 4909, 5098, 5314, 7199], 1130: [4163], 4967: [5314, 6360, 6383],
                1136: [4789, 5088, 5475, 6127, 6511], 4968: [5078],
                1138: [1201, 1219, 1339, 1571, 1616, 1732, 1889, 1919, 2044, 2141, 2158, 2181, 2238, 2339, 2350, 2498,
                       2847, 3112, 3313, 3452, 3518, 3640, 3740, 3775, 3951, 4000, 4097, 4218, 4771, 4789, 5063, 5064,
                       5130, 5143, 5282, 5311, 5347, 5456, 5489, 5592, 5678, 5754, 5773, 5954, 6044, 6143, 6197, 6261,
                       6269, 6346, 6490, 6657, 6957, 6992, 7075, 7082, 7111, 7113, 7172],
                1145: [1153, 1160, 1165, 1170, 1188, 1195, 1199, 1219, 1230, 1243, 1245, 1246, 1248, 1274, 1282, 1284,
                       1288, 1289, 1290, 1300, 1310, 1319, 1326, 1327, 1328, 1341, 1345, 1367, 1395, 1400, 1441, 1450,
                       1464, 1479, 1505, 1530, 1534, 1550, 1588, 1600, 1612, 1628, 1635, 1636, 1650, 1663, 1676, 1679,
                       1689, 1714, 1741, 1742, 1749, 1754, 1761, 1767, 1768, 1780, 1799, 1804, 1811, 1832, 1833, 1839,
                       1850, 1852, 1861, 1863, 1864, 1891, 1912, 1961, 2008, 2082, 2084, 2087, 2094, 2104, 2132, 2137,
                       2140, 2141, 2151, 2158, 2164, 2170, 2178, 2195, 2208, 2227, 2245, 2251, 2259, 2261, 2264, 2280,
                       2302, 2305, 2319, 2336, 2339, 2350, 2383, 2391, 2401, 2403, 2412, 2421, 2429, 2438, 2451, 2463,
                       2501, 2502, 2520, 2525, 2526, 2544, 2549, 2553, 2557, 2599, 2600, 2601, 2619, 2623, 2639, 2643,
                       2645, 2648, 2649, 2657, 2660, 2720, 2726, 2734, 2745, 2746, 2747, 2758, 2787, 2794, 2799, 2813,
                       2818, 2829, 2859, 2864, 2867, 2880, 2883, 2892, 2914, 2925, 2928, 2929, 2932, 2938, 2939, 2968,
                       2979, 2981, 2995, 3005, 3006, 3013, 3015, 3023, 3036, 3071, 3075, 3085, 3087, 3089, 3112, 3127,
                       3128, 3138, 3157, 3167, 3183, 3193, 3198, 3200, 3202, 3220, 3231, 3235, 3268, 3279, 3285, 3304,
                       3317, 3331, 3344, 3347, 3348, 3351, 3357, 3358, 3370, 3373, 3394, 3406, 3422, 3426, 3456, 3458,
                       3462, 3468, 3480, 3481, 3483, 3488, 3514, 3528, 3529, 3531, 3535, 3538, 3561, 3565, 3576, 3577,
                       3592, 3599, 3603, 3617, 3623, 3626, 3628, 3629, 3640, 3641, 3648, 3650, 3683, 3710, 3716, 3718,
                       3733, 3740, 3747, 3777, 3804, 3815, 3827, 3830, 3832, 3849, 3879, 3889, 3894, 3901, 3928, 3929,
                       3937, 3940, 3943, 3948, 3950, 3958, 3961, 3970, 3975, 3989, 3991, 3993, 3996, 4028, 4032, 4068,
                       4075, 4089, 4095, 4105, 4111, 4117, 4129, 4165, 4179, 4189, 4193, 4195, 4204, 4218, 4222, 4247,
                       4248, 4256, 4265, 4280, 4285, 4291, 4300, 4318, 4326, 4364, 4438, 4467, 4539, 4559, 4567, 4605,
                       4616, 4621, 4635, 4642, 4652, 4653, 4657, 4663, 4670, 4675, 4690, 4691, 4698, 4704, 4708, 4710,
                       4712, 4773, 4783, 4787, 4788, 4796, 4800, 4804, 4810, 4833, 4845, 4852, 4862, 4863, 4880, 4882,
                       4909, 4917, 4918, 4937, 4939, 4954, 4960, 4965, 5012, 5016, 5026, 5029, 5031, 5056, 5060, 5063,
                       5064, 5078, 5098, 5130, 5161, 5170, 5179, 5188, 5209, 5259, 5272, 5281, 5282, 5297, 5310, 5313,
                       5323, 5362, 5368, 5371, 5390, 5392, 5410, 5412, 5440, 5466, 5468, 5476, 5483, 5484, 5490, 5494,
                       5495, 5498, 5502, 5512, 5524, 5525, 5551, 5552, 5563, 5570, 5584, 5604, 5616, 5642, 5647, 5650,
                       5656, 5669, 5676, 5683, 5685, 5698, 5702, 5719, 5727, 5736, 5740, 5741, 5773, 5775, 5776, 5791,
                       5792, 5796, 5800, 5826, 5829, 5847, 5912, 5913, 5918, 5931, 5932, 5943, 5947, 5949, 5950, 5954,
                       5964, 5966, 5968, 5976, 5979, 5989, 6013, 6020, 6025, 6036, 6054, 6058, 6063, 6120, 6134, 6158,
                       6172, 6197, 6201, 6204, 6210, 6219, 6221, 6247, 6271, 6292, 6313, 6323, 6325, 6336, 6341, 6343,
                       6357, 6399, 6401, 6405, 6414, 6417, 6421, 6422, 6429, 6438, 6493, 6496, 6503, 6504, 6505, 6511,
                       6515, 6516, 6534, 6537, 6539, 6551, 6553, 6565, 6589, 6657, 6680, 6711, 6727, 6728, 6737, 6773,
                       6774, 6776, 6799, 6811, 6816, 6818, 6832, 6834, 6841, 6847, 6848, 6854, 6873, 6878, 6886, 6892,
                       6898, 6905, 6919, 6929, 6936, 6941, 6943, 6946, 6986, 6987, 6995, 7003, 7005, 7035, 7049, 7073,
                       7101, 7111, 7113, 7133, 7145, 7172, 7185, 7192], 1146: [2940, 5679], 1147: [7192],
                4970: [6127, 7172], 5247: [5779, 6470, 6488, 6656, 7101, 7121, 7169],
                1152: [1255, 1333, 1505, 1545, 1588, 1634, 1701, 1894, 1956, 2189, 2223, 2372, 2451, 2500, 2630, 2700,
                       2703, 2778, 2789, 3184, 3519, 3609, 3846, 3879, 3906, 4165, 4195, 4355, 4440, 4655, 4826, 5058,
                       5078, 5091, 5392, 5413, 5468, 5537, 5551, 5727, 5770, 5899, 5916, 6008, 6084, 6317, 6319, 6425,
                       6427, 6470, 6488, 6509, 6548, 6656, 6725, 6794, 6817, 6907, 7101, 7121, 7145, 7199],
                1154: [4789], 1156: [2141, 2847, 4576, 5498, 5754], 5494: [6360], 5255: [5456], 1162: [4369, 5904],
                1163: [5468, 6657],
                1164: [1192, 1207, 1288, 1309, 1327, 1354, 1455, 1504, 1506, 1535, 1634, 1697, 1715, 1751, 1850, 1852,
                       1857, 1858, 1901, 1918, 1991, 2020, 2044, 2062, 2076, 2089, 2141, 2161, 2274, 2302, 2319, 2440,
                       2453, 2473, 2481, 2544, 2591, 2686, 2714, 2753, 2783, 2936, 2942, 2962, 3026, 3029, 3087, 3102,
                       3112, 3152, 3155, 3179, 3210, 3342, 3387, 3398, 3426, 3466, 3504, 3506, 3549, 3550, 3593, 3650,
                       3671, 3852, 3978, 4004, 4071, 4072, 4111, 4189, 4195, 4271, 4328, 4338, 4364, 4453, 4573, 4676,
                       4834, 4859, 4909, 4937, 4943, 4991, 5023, 5130, 5145, 5190, 5213, 5232, 5282, 5329, 5344, 5370,
                       5440, 5488, 5621, 5714, 5754, 5938, 6017, 6047, 6124, 6127, 6139, 6143, 6171, 6172, 6268, 6317,
                       6346, 6360, 6373, 6412, 6467, 6581, 6611, 6614, 6617, 6654, 6671, 6680, 6684, 6702, 6738, 6752,
                       6776, 6796, 6807, 6841, 6853, 6905, 6907, 6942, 6955, 7003, 7074, 7093, 7094, 7111, 7160, 7172,
                       7188],
                1165: [1195, 1288, 1328, 1339, 1455, 1464, 1700, 1701, 1751, 1827, 1918, 2094, 2158, 2238, 2302, 2319,
                       2338, 2376, 2412, 2451, 2747, 2783, 2813, 3112, 3200, 3267, 3424, 3550, 3650, 3852, 3928, 3980,
                       4111, 4168, 4195, 4312, 4364, 4573, 4937, 5130, 5468, 5525, 5540, 5627, 5655, 5714, 5727, 5754,
                       5791, 5901, 5904, 5913, 6127, 6360, 6415, 6455, 6504, 6841, 7003, 7049, 7094, 7172, 7192],
                1166: [1593, 1701, 3671, 4355, 5754],
                1167: [1489, 1522, 1534, 1588, 1590, 1593, 1634, 1701, 1780, 1850, 1918, 1919, 1965, 2044, 2141, 2167,
                       2272, 2274, 2302, 2307, 2312, 2329, 2333, 2338, 2342, 2351, 2376, 2451, 2453, 2486, 2491, 2500,
                       2540, 2582, 2602, 2643, 2673, 2753, 2762, 2783, 2792, 2794, 2852, 2899, 2900, 2962, 3003, 3026,
                       3041, 3087, 3119, 3179, 3267, 3317, 3347, 3398, 3399, 3424, 3466, 3477, 3550, 3618, 3650, 3671,
                       3773, 3852, 3873, 3879, 3980, 4082, 4083, 4157, 4195, 4225, 4278, 4312, 4355, 4539, 4573, 4585,
                       4640, 4676, 4724, 4789, 4826, 4943, 5032, 5040, 5098, 5130, 5170, 5213, 5234, 5282, 5314, 5344,
                       5392, 5440, 5464, 5468, 5483, 5498, 5521, 5525, 5537, 5540, 5609, 5681, 5714, 5727, 5754, 5770,
                       5791, 5800, 5832, 5899, 5904, 5908, 5913, 5923, 6017, 6039, 6143, 6213, 6292, 6300, 6317, 6319,
                       6339, 6360, 6407, 6415, 6496, 6509, 6566, 6583, 6611, 6642, 6672, 6680, 6684, 6687, 6702, 6812,
                       6841, 6905, 6907, 6935, 7003, 7045, 7074, 7094, 7111, 7112, 7141, 7158, 7160, 7192],
                1168: [1339, 1930, 2789, 4163, 5468], 1169: [3104], 5268: [5311, 5754, 6363, 6557, 7004],
                1174: [1240, 2595, 2626, 2959, 3207, 4163, 4542, 4595, 4822, 4918, 5721, 5756, 6771],
                5271: [5537, 6509], 1177: [1858, 2034, 2544, 4789, 5438, 6755],
                1179: [1328, 1402, 1593, 1964, 2141, 2453, 3026, 3210, 3384, 3671, 4194, 4789, 5286, 5432, 6127, 6143,
                       6360, 6383, 6907], 1180: [2141, 4283, 5656, 6486],
                1181: [1195, 1402, 2141, 2540, 2858, 3131, 3158, 3313, 3752, 3951, 4074, 4283, 4355, 4407, 4572, 4673,
                       4787, 4972, 5098, 5188, 5466, 5904, 6261, 6839, 6905, 6945, 7137, 7172],
                1183: [1219, 1220, 1243, 1339, 1343, 1438, 1529, 1536, 1571, 1602, 1616, 1650, 1704, 1810, 1855, 1868,
                       1869, 1884, 1889, 1891, 1905, 1919, 2031, 2044, 2050, 2094, 2141, 2162, 2194, 2334, 2343, 2350,
                       2492, 2498, 2626, 2675, 2743, 2847, 2848, 2886, 2899, 2985, 3066, 3109, 3311, 3313, 3414, 3445,
                       3452, 3500, 3517, 3518, 3534, 3628, 3640, 3695, 3761, 3773, 3775, 3869, 3872, 3895, 3951, 3982,
                       3989, 4000, 4037, 4097, 4105, 4153, 4218, 4326, 4494, 4545, 4576, 4608, 4704, 4713, 4804, 4909,
                       4910, 4992, 5041, 5063, 5098, 5143, 5159, 5260, 5262, 5282, 5311, 5347, 5438, 5442, 5456, 5489,
                       5498, 5512, 5656, 5659, 5754, 5773, 5792, 5857, 5961, 5964, 6044, 6067, 6133, 6185, 6197, 6325,
                       6410, 6439, 6486, 6490, 6491, 6557, 6562, 6603, 6617, 6657, 6773, 6819, 6824, 6851, 6867, 6869,
                       6921, 6932, 6945, 6963, 7004, 7070, 7086, 7093, 7113, 7122, 7172], 1186: [1852, 4043, 5190],
                1188: [1208, 1852, 2044, 2181, 2747, 2813, 3200, 4168, 5130, 5483, 5714, 5754, 6236, 6657, 7192],
                1189: [4608, 5754],
                1191: [1403, 1681, 2194, 2367, 2626, 2747, 3640, 3775, 4787, 4789, 6563, 6657, 6983], 5290: [6886],
                5291: [5432, 5537, 5569, 5879, 5901, 6021, 6037, 6127, 6143, 6738, 6948, 7172],
                1197: [1230, 1255, 1267, 1277, 1288, 1309, 1328, 1333, 1339, 1395, 1401, 1402, 1464, 1481, 1522, 1534,
                       1550, 1558, 1590, 1593, 1607, 1701, 1702, 1786, 1814, 1827, 1834, 1837, 1909, 1918, 1919, 1930,
                       1964, 1965, 2034, 2058, 2062, 2145, 2181, 2208, 2223, 2238, 2268, 2272, 2302, 2329, 2412, 2431,
                       2434, 2451, 2453, 2454, 2526, 2563, 2602, 2657, 2658, 2707, 2736, 2747, 2753, 2762, 2783, 2789,
                       2792, 2802, 2813, 2852, 2858, 2893, 2962, 2975, 2986, 3041, 3066, 3098, 3102, 3112, 3157, 3164,
                       3179, 3180, 3200, 3209, 3210, 3264, 3267, 3280, 3287, 3317, 3323, 3324, 3354, 3387, 3398, 3424,
                       3426, 3477, 3494, 3506, 3519, 3539, 3550, 3589, 3618, 3625, 3629, 3650, 3671, 3700, 3740, 3815,
                       3846, 3852, 3922, 3928, 3929, 3949, 3978, 3980, 4002, 4004, 4050, 4053, 4082, 4089, 4111, 4168,
                       4195, 4205, 4271, 4285, 4321, 4355, 4369, 4392, 4439, 4573, 4619, 4635, 4666, 4686, 4687, 4771,
                       4773, 4843, 4909, 5028, 5064, 5078, 5130, 5170, 5190, 5234, 5271, 5287, 5313, 5314, 5326, 5344,
                       5370, 5438, 5466, 5468, 5477, 5485, 5536, 5537, 5540, 5554, 5609, 5655, 5714, 5727, 5770, 5774,
                       5781, 5788, 5804, 5831, 5832, 5871, 5879, 5897, 5901, 5923, 5944, 5954, 5956, 5961, 5978, 6063,
                       6124, 6143, 6217, 6236, 6292, 6293, 6319, 6330, 6343, 6346, 6354, 6356, 6360, 6415, 6427, 6447,
                       6466, 6509, 6571, 6572, 6578, 6617, 6672, 6680, 6684, 6696, 6709, 6757, 6762, 6796, 6798, 6812,
                       6816, 6817, 6833, 6851, 6853, 6905, 6923, 6942, 6948, 6955, 6995, 7034, 7049, 7094, 7104, 7111,
                       7112, 7142, 7152, 7171, 7172, 7188],
                1199: [1245, 2158, 2747, 3265, 3462, 3640, 3777, 4129, 4218, 4465, 4657, 5456, 5743, 6657, 6737, 6773,
                       7192], 6344: [6845], 5299: [5314, 5706], 5662: [5754], 1207: [4918],
                5305: [5371, 5483, 5525, 5792, 5904, 5923, 6236, 6360, 6383, 6687, 7049], 1212: [3640],
                5310: [5754, 7192], 1216: [2298, 6929], 1217: [1787, 2141, 2857, 4407, 4595, 5545, 7191],
                5317: [5329, 5344, 5468, 5475, 5537, 5678, 5831, 5887, 5897, 6017, 6124, 6127, 6171, 6346, 6360, 6373,
                       6675, 6738, 6776, 6796, 6853, 6905, 6907, 6942, 6948, 6955, 7093, 7137, 7160, 7172],
                1222: [4576, 5525, 5754], 1223: [3640],
                1225: [1279, 1292, 1395, 1401, 1402, 1430, 1481, 1498, 1504, 1558, 1564, 1579, 1790, 1811, 1814, 1857,
                       1907, 1964, 2001, 2024, 2268, 2279, 2367, 2433, 2440, 2453, 2789, 2847, 2977, 3066, 3184, 3210,
                       3230, 3349, 3430, 3436, 3922, 3924, 3931, 3964, 3978, 3983, 4113, 4163, 4228, 4296, 4314, 4522,
                       4524, 4546, 4573, 4574, 4595, 4622, 4626, 4672, 4759, 4789, 4918, 4980, 5088, 5261, 5468, 5485,
                       5531, 5540, 5545, 5624, 5659, 5687, 5881, 5897, 5961, 6071, 6127, 6146, 6169, 6171, 6194, 6229,
                       6358, 6360, 6514, 6601, 6611, 6738, 6875, 6942, 7064, 7086, 7088, 7142, 7160, 7172],
                5327: [6427, 6841, 6886, 7049, 7192], 1232: [1339, 2626, 2679, 5078, 5102, 5659, 5898, 7123],
                1233: [1571, 4789, 5754, 7004], 5333: [5540], 1238: [3769], 1241: [2302], 1242: [2630, 3028, 6226],
                5340: [5355, 5362, 5569, 5655, 5901, 5912, 6217, 6343, 6349, 6360, 6496, 6505, 6589, 6812, 6818, 6835,
                       6919, 6962, 6995, 7192], 5341: [5754],
                1249: [1805, 1918, 2145, 2272, 2412, 3184, 3267, 4229, 4937, 5209, 5536, 5551, 6578, 7101],
                1250: [1255, 1288, 1328, 1339, 1354, 1403, 1408, 1427, 1458, 1529, 1531, 1550, 1634, 1681, 1724, 1732,
                       1771, 1809, 1815, 1827, 1837, 1855, 1861, 1863, 1919, 1966, 2044, 2120, 2124, 2125, 2194, 2238,
                       2271, 2274, 2334, 2366, 2367, 2457, 2459, 2473, 2479, 2540, 2654, 2667, 2747, 2787, 2789, 2813,
                       2901, 2912, 2919, 2938, 3014, 3066, 3092, 3104, 3199, 3280, 3445, 3569, 3640, 3647, 3851, 3879,
                       3903, 3982, 3995, 4004, 4043, 4053, 4117, 4153, 4163, 4218, 4494, 4557, 4608, 4622, 4652, 4713,
                       4719, 4779, 4789, 4845, 4874, 4898, 4909, 4917, 4918, 4932, 4942, 5102, 5105, 5111, 5141, 5177,
                       5221, 5282, 5380, 5390, 5406, 5468, 5488, 5495, 5512, 5580, 5754, 5770, 5954, 6086, 6094, 6160,
                       6355, 6383, 6449, 6466, 6490, 6514, 6562, 6563, 6648, 6657, 6675, 6687, 6689, 6754, 6788, 6816,
                       6882, 6898, 6967, 7093, 7110, 7166, 7199],
                1251: [1288, 1309, 1395, 1852, 1919, 1966, 2044, 2076, 2094, 2141, 2158, 2238, 2302, 2319, 2376, 2526,
                       2544, 2686, 2813, 2848, 2886, 3087, 3112, 3500, 3852, 3928, 4168, 4195, 4288, 4312, 4576, 5130,
                       5139, 5440, 5466, 5468, 5488, 5525, 5592, 5754, 5792, 6346, 6360, 6738, 6754, 6776, 6905, 6921,
                       6942, 7093, 7137, 7172, 7192],
                1252: [1343, 1504, 1571, 1616, 1852, 1855, 1858, 1901, 1919, 2024, 2044, 2141, 2350, 2376, 2481, 2659,
                       2680, 2847, 2848, 2899, 2942, 3066, 3133, 3210, 3311, 3384, 3446, 3454, 3517, 3640, 3924, 3951,
                       4072, 4097, 4218, 4364, 4453, 4576, 4608, 4676, 4789, 4932, 5088, 5282, 5311, 5314, 5347, 5438,
                       5475, 5498, 5592, 5627, 5754, 5792, 6143, 6236, 6360, 6363, 6490, 6557, 6562, 6675, 6796, 6845,
                       6853, 6935, 6957, 7093, 7137], 1259: [7004],
                5356: [5370, 5392, 5440, 5459, 5498, 5521, 5525, 5537, 5540, 5609, 5655, 5656, 5714, 5754, 5773, 5792,
                       5810, 5820, 5839, 5858, 5904, 5908, 5923, 5961, 6014, 6048, 6124, 6127, 6165, 6172, 6229, 6252,
                       6302, 6312, 6317, 6360, 6415, 6455, 6470, 6496, 6509, 6566, 6583, 6684, 6687, 6702, 6730, 6757,
                       6776, 6841, 6864, 6905, 6907, 6942, 6945, 7003, 7049, 7079, 7094, 7112, 7158, 7160],
                5357: [5540, 5710, 5810, 5857, 5936, 6021, 6171, 6237, 6547, 6593, 6659, 6824, 7004, 7059, 7086, 7123,
                       7172], 1262: [1558, 1701, 2319, 2500, 3384, 3398, 4573, 5190, 6172, 6360, 6738, 7003],
                1266: [1288, 2141, 2158, 2251, 2500, 3640, 5130, 5282, 5498, 5754, 6346, 6360, 6657],
                211: [3852, 4195, 5498],
                1269: [1288, 1650, 1852, 2238, 2294, 2686, 2769, 3015, 3138, 3517, 3958, 4046, 4148, 4218, 4576, 4608,
                       5098, 5209, 5282, 5314, 5409, 5456, 5587, 5656, 5754, 5954, 5982, 6429, 6657, 6814, 7080, 7113,
                       7162],
                1270: [2238, 2302, 2376, 2459, 2813, 2900, 3128, 3384, 3398, 3625, 3872, 3978, 4369, 4789, 5347, 5432,
                       5466, 5475, 5488, 5633, 6247, 6360, 7166], 5368: [5754],
                1273: [1395, 1402, 1590, 2431, 2453, 4439, 5537, 5788, 6122, 6313, 6319],
                1275: [1387, 1430, 1571, 2141, 2194, 3066, 4153, 4387, 4789, 5754, 5756, 5857, 5961, 6733, 6755, 6957,
                       7004, 7093, 7172], 1278: [1430, 3066, 4595, 4759, 4918, 5659, 6044],
                5376: [5438, 5636, 5659, 5710, 5756, 6127, 6171, 6172, 6410, 6511, 6572, 6754, 6845, 7064, 7093],
                1281: [1571, 1919, 2141, 3131, 4119, 4218, 4576, 4608, 4789, 5130, 5525, 5754, 6657, 6754, 7192],
                1282: [5078, 5468, 6360],
                1285: [1634, 1715, 1900, 1930, 2453, 2789, 3609, 4064, 4296, 4439, 4826, 5468, 5537, 5788, 6319, 6470,
                       6907], 1286: [1930, 2302, 4918], 5383: [5468, 5498, 5540, 5714, 5754, 6684, 6942, 7192],
                5385: [5432, 5468, 5475, 5537, 6037, 6905], 5386: [5498, 5754, 5792],
                1291: [1309, 1315, 1328, 1333, 1335, 1343, 1354, 1359, 1372, 1383, 1395, 1401, 1402, 1407, 1410, 1414,
                       1428, 1430, 1431, 1455, 1481, 1498, 1502, 1504, 1522, 1536, 1558, 1562, 1571, 1579, 1582, 1586,
                       1587, 1591, 1593, 1602, 1613, 1616, 1627, 1657, 1687, 1715, 1730, 1766, 1774, 1790, 1814, 1834,
                       1837, 1852, 1858, 1859, 1861, 1869, 1884, 1894, 1901, 1907, 1919, 1930, 1934, 1963, 1964, 1965,
                       1985, 1987, 2001, 2005, 2020, 2034, 2044, 2079, 2094, 2114, 2122, 2141, 2149, 2177, 2210, 2212,
                       2217, 2238, 2253, 2273, 2286, 2325, 2335, 2355, 2361, 2412, 2427, 2431, 2434, 2440, 2446, 2453,
                       2465, 2472, 2473, 2481, 2483, 2491, 2510, 2519, 2524, 2541, 2544, 2571, 2579, 2584, 2588, 2595,
                       2602, 2604, 2611, 2641, 2680, 2686, 2695, 2700, 2712, 2743, 2747, 2760, 2762, 2783, 2789, 2847,
                       2849, 2857, 2860, 2863, 2871, 2872, 2886, 2901, 2912, 2920, 2933, 2936, 2940, 2942, 2956, 2958,
                       2975, 2977, 2986, 2987, 2993, 3001, 3007, 3026, 3061, 3066, 3087, 3090, 3102, 3104, 3108, 3112,
                       3113, 3131, 3132, 3133, 3155, 3174, 3177, 3179, 3209, 3210, 3217, 3230, 3231, 3237, 3247, 3267,
                       3269, 3271, 3280, 3287, 3293, 3311, 3315, 3324, 3332, 3342, 3347, 3349, 3374, 3376, 3384, 3387,
                       3395, 3398, 3429, 3430, 3435, 3446, 3454, 3466, 3467, 3475, 3478, 3485, 3499, 3500, 3526, 3534,
                       3544, 3549, 3593, 3614, 3635, 3638, 3647, 3671, 3692, 3700, 3761, 3773, 3774, 3786, 3807, 3852,
                       3891, 3903, 3924, 3928, 3930, 3946, 3949, 3952, 3963, 3978, 3983, 4000, 4002, 4019, 4037, 4045,
                       4050, 4057, 4072, 4081, 4082, 4097, 4111, 4132, 4137, 4154, 4160, 4163, 4194, 4195, 4199, 4216,
                       4227, 4228, 4239, 4241, 4271, 4288, 4314, 4333, 4355, 4369, 4370, 4387, 4392, 4401, 4457, 4494,
                       4513, 4515, 4522, 4534, 4554, 4558, 4560, 4582, 4585, 4619, 4647, 4666, 4669, 4680, 4686, 4687,
                       4711, 4713, 4725, 4728, 4729, 4755, 4759, 4771, 4779, 4789, 4822, 4846, 4876, 4898, 4932, 4949,
                       4951, 4957, 4969, 4980, 5040, 5062, 5069, 5088, 5102, 5107, 5117, 5126, 5127, 5128, 5132, 5139,
                       5156, 5162, 5171, 5177, 5219, 5223, 5229, 5232, 5234, 5249, 5252, 5260, 5261, 5275, 5280, 5286,
                       5293, 5300, 5306, 5311, 5313, 5329, 5344, 5347, 5354, 5371, 5375, 5395, 5411, 5417, 5420, 5421,
                       5429, 5432, 5438, 5450, 5468, 5475, 5485, 5486, 5488, 5489, 5493, 5498, 5512, 5525, 5531, 5540,
                       5572, 5585, 5588, 5609, 5620, 5624, 5626, 5645, 5659, 5667, 5678, 5681, 5691, 5701, 5710, 5714,
                       5742, 5756, 5762, 5770, 5774, 5781, 5788, 5801, 5827, 5855, 5864, 5871, 5879, 5886, 5897, 5911,
                       5928, 5938, 5950, 5955, 5956, 5978, 6021, 6037, 6047, 6048, 6076, 6086, 6108, 6112, 6127, 6132,
                       6137, 6143, 6146, 6149, 6160, 6169, 6185, 6194, 6211, 6213, 6222, 6236, 6240, 6242, 6247, 6252,
                       6292, 6303, 6315, 6333, 6337, 6346, 6353, 6356, 6360, 6372, 6375, 6382, 6407, 6410, 6415, 6431,
                       6434, 6450, 6452, 6469, 6480, 6491, 6543, 6562, 6572, 6578, 6598, 6601, 6610, 6616, 6626, 6635,
                       6654, 6656, 6671, 6672, 6675, 6677, 6679, 6684, 6687, 6696, 6709, 6715, 6724, 6725, 6729, 6731,
                       6738, 6747, 6750, 6754, 6755, 6762, 6804, 6808, 6845, 6853, 6905, 6907, 6915, 6916, 6923, 6925,
                       6942, 6948, 6955, 6957, 6959, 6967, 6972, 6977, 6983, 6997, 7064, 7067, 7086, 7088, 7093, 7094,
                       7098, 7142, 7158, 7160, 7164, 7171, 7181], 1292: [3066, 4789], 4994: [5756, 5857, 6824, 7093],
                5391: [5773],
                1297: [1339, 1550, 1642, 1681, 1975, 2032, 2683, 2787, 3066, 3387, 3411, 4060, 4114, 4576, 4914, 5456,
                       5468, 5743, 5754, 6084, 6796, 6808, 6817, 7025, 7123, 7137, 7172],
                5394: [5483, 5488, 5498, 5525, 5627, 5656, 5678, 5754, 5773, 5792, 5904, 6136, 6143, 6269, 6383, 6490,
                       6684, 6805, 6845, 6921, 7079],
                2947: [3454, 3773, 3852, 4082, 4218, 4364, 4789, 5098, 5130, 5282, 5314, 5754, 6127, 6247, 6455, 6490,
                       6684], 5401: [5540],
                5407: [5411, 5475, 5485, 5488, 5493, 5498, 5512, 5525, 5534, 5549, 5572, 5585, 5592, 5609, 5627, 5653,
                       5659, 5674, 5678, 5703, 5714, 5732, 5754, 5773, 5775, 5792, 5801, 5833, 5863, 5864, 5892, 5897,
                       6044, 6143, 6146, 6194, 6213, 6222, 6236, 6242, 6257, 6298, 6300, 6325, 6339, 6360, 6407, 6410,
                       6412, 6442, 6476, 6480, 6490, 6491, 6557, 6562, 6578, 6622, 6642, 6738, 6754, 6804, 6805, 6821,
                       6845, 6853, 6867, 6907, 6915, 6921, 6957, 7003, 7035, 7036, 7086, 7088, 7093, 7170],
                1312: [6952],
                1317: [2238, 2457, 2559, 2787, 2813, 3104, 3265, 3777, 4117, 4218, 5390, 5793, 6563, 6689],
                5414: [7101], 1322: [3131, 4504, 5063, 5189, 6797], 5419: [5569, 5698, 5945, 6600, 6633, 6995, 7157],
                5000: [7101], 1331: [2626, 3061],
                5428: [5438, 5440, 5456, 5465, 5466, 5468, 5469, 5472, 5476, 5483, 5484, 5488, 5489, 5490, 5491, 5495,
                       5498, 5499, 5500, 5504, 5512, 5523, 5525, 5536, 5543, 5550, 5551, 5563, 5565, 5569, 5570, 5571,
                       5572, 5577, 5582, 5604, 5614, 5616, 5639, 5642, 5647, 5648, 5655, 5656, 5658, 5659, 5662, 5669,
                       5670, 5671, 5676, 5692, 5698, 5702, 5713, 5714, 5715, 5720, 5723, 5725, 5727, 5732, 5736, 5741,
                       5743, 5744, 5747, 5748, 5754, 5755, 5760, 5770, 5773, 5775, 5782, 5786, 5791, 5792, 5797, 5808,
                       5825, 5826, 5827, 5830, 5837, 5848, 5860, 5861, 5871, 5878, 5882, 5883, 5900, 5901, 5904, 5907,
                       5909, 5912, 5923, 5926, 5930, 5931, 5939, 5943, 5945, 5953, 5954, 5964, 5966, 5968, 5976, 5979,
                       5982, 5994, 5999, 6000, 6002, 6012, 6013, 6014, 6020, 6025, 6027, 6028, 6030, 6035, 6036, 6038,
                       6040, 6058, 6063, 6071, 6075, 6086, 6088, 6094, 6095, 6097, 6106, 6114, 6119, 6120, 6124, 6126,
                       6127, 6129, 6132, 6133, 6134, 6137, 6139, 6150, 6158, 6162, 6172, 6180, 6192, 6197, 6201, 6204,
                       6207, 6210, 6212, 6217, 6219, 6221, 6230, 6234, 6236, 6241, 6243, 6257, 6261, 6269, 6275, 6286,
                       6288, 6299, 6305, 6323, 6327, 6336, 6339, 6341, 6343, 6349, 6355, 6357, 6360, 6362, 6363, 6379,
                       6389, 6399, 6400, 6405, 6414, 6422, 6429, 6431, 6437, 6443, 6449, 6460, 6476, 6481, 6482, 6496,
                       6503, 6505, 6511, 6520, 6521, 6529, 6537, 6539, 6550, 6557, 6563, 6565, 6567, 6572, 6589, 6590,
                       6603, 6605, 6618, 6636, 6653, 6655, 6657, 6658, 6675, 6685, 6689, 6697, 6704, 6711, 6727, 6736,
                       6737, 6738, 6745, 6749, 6754, 6758, 6773, 6776, 6780, 6788, 6796, 6799, 6802, 6814, 6816, 6818,
                       6819, 6831, 6841, 6848, 6849, 6869, 6878, 6885, 6898, 6901, 6910, 6917, 6919, 6920, 6921, 6938,
                       6942, 6945, 6962, 6986, 6987, 6990, 6991, 6992, 6995, 7000, 7014, 7025, 7030, 7035, 7037, 7042,
                       7049, 7067, 7075, 7080, 7084, 7088, 7089, 7093, 7094, 7097, 7109, 7110, 7111, 7113, 7114, 7117,
                       7133, 7135, 7137, 7139, 7151, 7152, 7154, 7162, 7172, 7175, 7179, 7184, 7185, 7192, 7196, 7198,
                       7199], 1334: [1701, 2251, 2302, 2319, 2813, 3398, 4111, 4318, 4573, 6172, 6907],
                1336: [1339, 1571, 1858, 1919, 2044, 2076, 2094, 2141, 2158, 2238, 2302, 2319, 2376, 2544, 2813, 2848,
                       3066, 3087, 3112, 3398, 3500, 3929, 4168, 4218, 4312, 4369, 4616, 4687, 5130, 5432, 5438, 5468,
                       5488, 5538, 5633, 5754, 6346, 6360, 6675, 6738, 6754, 6796, 6942, 7094, 7172],
                1337: [1401, 2457, 2942, 2958, 3066, 3103, 3133, 4163, 4789, 5659],
                1340: [1572, 1701, 1918, 2329, 2792, 3003, 3267, 3550, 5314, 5706, 6509, 6791, 6907, 7192],
                5437: [5754, 6360], 5819: [6317, 6383, 7064], 1346: [3066],
                1347: [1351, 1354, 1361, 1362, 1385, 1395, 1400, 1411, 1423, 1432, 1450, 1451, 1455, 1460, 1464, 1479,
                       1482, 1489, 1493, 1505, 1543, 1545, 1572, 1574, 1583, 1584, 1592, 1600, 1606, 1634, 1640, 1641,
                       1647, 1651, 1676, 1679, 1682, 1700, 1701, 1711, 1714, 1719, 1736, 1738, 1742, 1750, 1754, 1757,
                       1759, 1764, 1768, 1777, 1780, 1783, 1786, 1811, 1830, 1832, 1839, 1843, 1844, 1845, 1850, 1864,
                       1871, 1876, 1883, 1900, 1904, 1909, 1912, 1918, 1923, 1924, 1928, 1929, 1936, 1953, 1956, 1981,
                       2007, 2036, 2062, 2073, 2087, 2100, 2102, 2104, 2107, 2145, 2155, 2158, 2165, 2172, 2178, 2181,
                       2189, 2196, 2197, 2202, 2209, 2212, 2223, 2228, 2238, 2243, 2251, 2259, 2261, 2264, 2270, 2273,
                       2275, 2280, 2282, 2297, 2302, 2305, 2312, 2319, 2326, 2336, 2339, 2341, 2361, 2362, 2373, 2376,
                       2378, 2396, 2398, 2403, 2424, 2425, 2429, 2445, 2447, 2449, 2451, 2452, 2463, 2477, 2497, 2500,
                       2501, 2502, 2514, 2520, 2526, 2538, 2553, 2557, 2563, 2564, 2581, 2582, 2598, 2600, 2601, 2615,
                       2619, 2623, 2627, 2630, 2636, 2639, 2645, 2648, 2657, 2659, 2664, 2665, 2671, 2672, 2677, 2683,
                       2685, 2694, 2698, 2702, 2707, 2710, 2711, 2729, 2744, 2746, 2769, 2781, 2791, 2792, 2794, 2796,
                       2813, 2814, 2822, 2829, 2849, 2852, 2856, 2858, 2861, 2864, 2866, 2867, 2873, 2875, 2880, 2883,
                       2893, 2905, 2914, 2923, 2925, 2927, 2928, 2932, 2938, 2968, 2970, 2990, 2995, 3003, 3004, 3010,
                       3013, 3028, 3041, 3052, 3068, 3075, 3077, 3086, 3093, 3119, 3120, 3121, 3134, 3137, 3142, 3143,
                       3149, 3158, 3164, 3167, 3180, 3184, 3186, 3188, 3190, 3198, 3200, 3213, 3218, 3220, 3254, 3266,
                       3267, 3290, 3317, 3320, 3327, 3331, 3347, 3354, 3357, 3358, 3370, 3373, 3386, 3398, 3406, 3411,
                       3412, 3441, 3447, 3455, 3458, 3463, 3468, 3478, 3491, 3494, 3507, 3514, 3519, 3529, 3541, 3550,
                       3553, 3570, 3600, 3603, 3609, 3611, 3615, 3617, 3629, 3630, 3634, 3641, 3646, 3647, 3650, 3668,
                       3669, 3674, 3681, 3686, 3691, 3696, 3709, 3755, 3764, 3765, 3767, 3777, 3778, 3779, 3781, 3785,
                       3797, 3798, 3804, 3809, 3812, 3813, 3823, 3824, 3827, 3834, 3846, 3849, 3852, 3853, 3883, 3889,
                       3892, 3900, 3902, 3908, 3912, 3922, 3928, 3929, 3937, 3939, 3941, 3943, 3944, 3957, 3961, 3966,
                       3970, 3972, 3977, 3987, 3993, 4007, 4036, 4050, 4053, 4066, 4075, 4083, 4089, 4093, 4095, 4099,
                       4101, 4108, 4115, 4139, 4157, 4168, 4179, 4182, 4184, 4190, 4195, 4196, 4205, 4217, 4219, 4245,
                       4247, 4248, 4258, 4263, 4264, 4265, 4269, 4281, 4284, 4285, 4289, 4291, 4292, 4299, 4304, 4318,
                       4337, 4344, 4346, 4367, 4368, 4369, 4374, 4379, 4415, 4436, 4438, 4441, 4443, 4530, 4539, 4555,
                       4559, 4569, 4573, 4576, 4589, 4603, 4605, 4616, 4621, 4625, 4648, 4653, 4657, 4673, 4675, 4698,
                       4707, 4710, 4730, 4740, 4745, 4747, 4756, 4773, 4776, 4783, 4796, 4799, 4800, 4801, 4805, 4810,
                       4821, 4848, 4849, 4864, 4880, 4881, 4884, 4887, 4912, 4937, 4943, 4952, 4968, 4978, 4987, 4991,
                       5004, 5012, 5020, 5023, 5026, 5028, 5029, 5031, 5035, 5040, 5057, 5061, 5078, 5091, 5116, 5118,
                       5130, 5160, 5163, 5168, 5170, 5179, 5181, 5187, 5190, 5191, 5209, 5222, 5224, 5233, 5235, 5245,
                       5271, 5281, 5287, 5290, 5296, 5302, 5312, 5337, 5340, 5350, 5355, 5360, 5362, 5365, 5368, 5383,
                       5387, 5392, 5393, 5402, 5413, 5437, 5449, 5453, 5454, 5458, 5459, 5468, 5473, 5480, 5481, 5484,
                       5490, 5494, 5502, 5509, 5520, 5523, 5524, 5525, 5536, 5537, 5538, 5551, 5552, 5554, 5560, 5563,
                       5567, 5569, 5570, 5577, 5584, 5591, 5596, 5597, 5604, 5616, 5647, 5652, 5654, 5655, 5666, 5669,
                       5698, 5700, 5702, 5722, 5735, 5741, 5755, 5760, 5766, 5769, 5776, 5779, 5785, 5790, 5796, 5800,
                       5803, 5806, 5817, 5820, 5856, 5861, 5869, 5883, 5912, 5916, 5918, 5923, 5926, 5930, 5931, 5944,
                       5949, 5956, 5966, 5969, 5987, 5989, 5998, 6000, 6008, 6014, 6039, 6063, 6085, 6087, 6106, 6124,
                       6126, 6131, 6132, 6138, 6144, 6145, 6158, 6162, 6165, 6172, 6183, 6186, 6200, 6202, 6210, 6217,
                       6219, 6221, 6226, 6271, 6291, 6293, 6309, 6316, 6317, 6319, 6327, 6330, 6332, 6336, 6340, 6343,
                       6349, 6350, 6390, 6395, 6403, 6404, 6405, 6417, 6422, 6425, 6427, 6429, 6437, 6438, 6445, 6447,
                       6470, 6475, 6483, 6485, 6488, 6496, 6505, 6515, 6517, 6526, 6534, 6535, 6539, 6540, 6548, 6552,
                       6558, 6565, 6566, 6568, 6580, 6582, 6583, 6584, 6587, 6589, 6590, 6594, 6596, 6612, 6620, 6625,
                       6633, 6636, 6639, 6640, 6645, 6646, 6656, 6659, 6666, 6680, 6685, 6698, 6704, 6725, 6727, 6740,
                       6741, 6744, 6751, 6752, 6753, 6774, 6776, 6781, 6794, 6795, 6798, 6806, 6810, 6811, 6812, 6815,
                       6817, 6818, 6823, 6828, 6832, 6834, 6835, 6841, 6847, 6873, 6886, 6894, 6901, 6906, 6919, 6924,
                       6930, 6936, 6946, 6951, 6962, 6965, 6966, 6971, 6974, 6986, 6987, 6995, 7002, 7006, 7039, 7047,
                       7055, 7066, 7073, 7074, 7084, 7100, 7101, 7106, 7111, 7112, 7115, 7116, 7121, 7133, 7141, 7145,
                       7150, 7151, 7166, 7169, 7192, 7198, 7199],
                5445: [5456, 5469, 5483, 5488, 5498, 5512, 5525, 5541, 5596, 5653, 5656, 5667, 5714, 5736, 5741, 5754,
                       5773, 5791, 5792, 5864, 5904, 5918, 5955, 5976, 5982, 5989, 6124, 6139, 6207, 6213, 6236, 6292,
                       6313, 6317, 6323, 6325, 6363, 6407, 6411, 6415, 6418, 6482, 6490, 6511, 6520, 6562, 6578, 6605,
                       6631, 6642, 6657, 6673, 6689, 6711, 6788, 6802, 6807, 6811, 6816, 6819, 6821, 6841, 6898, 6929,
                       6972, 6983, 6990, 6991, 7035, 7045, 7111, 7113, 7114, 7162, 7179, 7192, 7199],
                1352: [1504, 1512, 1561, 1642, 1701, 1857, 2000, 2082, 2146, 2194, 2308, 2335, 2457, 2549, 2570, 2595,
                       2743, 2963, 2977, 3144, 4060, 4162, 4181, 4296, 4407, 4417, 4494, 4524, 4542, 4553, 4595, 4598,
                       4622, 4789, 4790, 4822, 4894, 4918, 5102, 5248, 5311, 5429, 5540, 5617, 5756, 5877, 5950, 6044,
                       6069, 6141, 6199, 6547, 6601, 6743, 6763, 6771, 6875, 6902, 6926, 7004, 7046, 7092, 7099],
                1353: [1401, 1402, 1481, 1504, 1522, 1550, 1571, 1593, 1616, 1634, 1730, 1852, 1857, 1884, 1901, 1919,
                       2024, 2042, 2044, 2080, 2094, 2141, 2274, 2319, 2350, 2408, 2453, 2457, 2491, 2588, 2643, 2679,
                       2686, 2753, 2762, 2847, 2930, 2939, 2958, 3026, 3087, 3112, 3179, 3210, 3351, 3374, 3384, 3387,
                       3435, 3466, 3667, 3671, 3769, 3775, 3852, 3946, 3978, 4000, 4002, 4037, 4057, 4111, 4163, 4189,
                       4195, 4218, 4227, 4312, 4369, 4387, 4453, 4560, 4616, 4724, 4759, 4789, 4894, 4932, 5140, 5197,
                       5279, 5282, 5321, 5329, 5344, 5429, 5438, 5468, 5489, 5525, 5534, 5540, 5592, 5627, 5656, 5659,
                       5714, 5754, 5773, 5775, 5781, 5801, 5839, 5913, 5961, 6044, 6099, 6127, 6143, 6169, 6172, 6252,
                       6268, 6293, 6325, 6452, 6490, 6577, 6667, 6754, 6796, 6905, 6907, 6928, 6935, 6942, 7003, 7104,
                       7160, 7171, 7172, 7188], 1355: [7004], 5452: [5981, 6824],
                4322: [4383, 4494, 4516, 4576, 4608, 5493, 5656, 5754, 6511, 6796, 6824, 7004, 7093, 7137, 7172],
                1358: [2139, 3334, 4725, 5410, 7082],
                1360: [2044, 2094, 2338, 2762, 2847, 3280, 3351, 3671, 4111, 4364, 4576, 5488, 5498, 5754, 5792, 5904,
                       5961, 6127, 6172, 6562, 7079, 7172],
                1361: [1385, 1588, 1701, 2062, 2302, 2425, 2451, 2753, 2852, 3158, 3399, 3650, 4089, 4573, 4640, 5521,
                       5537, 5908, 6165, 6509, 6812, 6907],
                5461: [5754, 5791, 5792, 5904, 6317, 6490, 6657, 6684, 6802, 6935, 6990],
                5462: [5465, 5466, 5468, 5473, 5477, 5483, 5491, 5494, 5495, 5499, 5500, 5523, 5525, 5536, 5537, 5538,
                       5551, 5552, 5561, 5563, 5565, 5569, 5570, 5582, 5584, 5604, 5616, 5632, 5647, 5655, 5659, 5669,
                       5685, 5701, 5714, 5718, 5719, 5727, 5735, 5736, 5741, 5744, 5754, 5760, 5770, 5786, 5803, 5806,
                       5820, 5825, 5830, 5832, 5845, 5856, 5861, 5869, 5871, 5882, 5900, 5901, 5904, 5912, 5916, 5923,
                       5930, 5944, 5945, 5947, 5948, 5954, 5964, 5966, 5968, 5978, 5982, 5989, 6008, 6012, 6014, 6017,
                       6020, 6025, 6030, 6039, 6051, 6054, 6063, 6086, 6093, 6106, 6119, 6124, 6126, 6132, 6134, 6138,
                       6139, 6143, 6158, 6172, 6180, 6186, 6201, 6204, 6207, 6217, 6236, 6261, 6266, 6288, 6292, 6301,
                       6311, 6313, 6327, 6337, 6339, 6343, 6346, 6349, 6356, 6357, 6360, 6362, 6368, 6373, 6374, 6382,
                       6399, 6401, 6402, 6429, 6446, 6447, 6448, 6449, 6461, 6466, 6488, 6496, 6504, 6505, 6515, 6517,
                       6548, 6563, 6566, 6589, 6612, 6618, 6636, 6642, 6648, 6651, 6653, 6657, 6661, 6666, 6671, 6672,
                       6675, 6676, 6680, 6681, 6684, 6685, 6689, 6696, 6704, 6722, 6727, 6762, 6774, 6781, 6788, 6794,
                       6795, 6799, 6812, 6814, 6815, 6816, 6818, 6831, 6835, 6841, 6850, 6870, 6885, 6898, 6901, 6906,
                       6910, 6919, 6920, 6924, 6941, 6942, 6962, 6965, 6966, 6971, 6987, 6991, 6992, 6995, 7003, 7006,
                       7014, 7025, 7028, 7042, 7045, 7049, 7055, 7066, 7069, 7071, 7073, 7078, 7084, 7094, 7095, 7104,
                       7105, 7109, 7110, 7111, 7113, 7133, 7139, 7141, 7152, 7154, 7185, 7192, 7196, 7199],
                1369: [5754],
                1370: [2141, 2319, 3066, 3112, 3184, 3210, 4288, 4576, 5130, 5468, 5489, 5493, 5754, 6257, 6757],
                1371: [4573],
                5470: [5475, 5485, 5525, 5531, 5537, 5540, 5554, 5584, 5588, 5596, 5609, 5620, 5627, 5632, 5674, 5678,
                       5681, 5697, 5699, 5714, 5727, 5742, 5749, 5770, 5781, 5788, 5799, 5804, 5832, 5835, 5839, 5851,
                       5856, 5871, 5879, 5897, 5899, 5901, 5923, 5938, 5956, 5961, 5978, 6023, 6039, 6053, 6071, 6108,
                       6132, 6165, 6169, 6171, 6237, 6247, 6293, 6315, 6330, 6354, 6356, 6360, 6373, 6382, 6383, 6385,
                       6404, 6407, 6412, 6425, 6447, 6452, 6455, 6509, 6537, 6549, 6566, 6568, 6578, 6579, 6581, 6583,
                       6611, 6642, 6654, 6656, 6664, 6666, 6667, 6672, 6686, 6702, 6709, 6725, 6750, 6752, 6781, 6791,
                       6798, 6799, 6805, 6807, 6847, 6905, 6907, 6915, 6916, 6921, 6923, 6931, 6935, 6941, 6942, 6948,
                       6972, 6997, 7002, 7003, 7019, 7034, 7040, 7055, 7083, 7101, 7105, 7107, 7112, 7142, 7158, 7160,
                       7164, 7166, 7171, 7188, 7199],
                1375: [1395, 1401, 1402, 1420, 1455, 1464, 1481, 1502, 1506, 1523, 1534, 1550, 1571, 1593, 1620, 1634,
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                       2158, 2181, 2223, 2238, 2251, 2273, 2280, 2286, 2302, 2319, 2355, 2361, 2376, 2434, 2451, 2459,
                       2473, 2500, 2526, 2544, 2553, 2572, 2581, 2602, 2643, 2648, 2683, 2686, 2707, 2746, 2783, 2789,
                       2792, 2802, 2813, 2847, 2852, 2858, 2864, 2871, 2886, 2912, 2936, 2938, 2962, 2970, 2975, 2993,
                       3041, 3066, 3087, 3098, 3102, 3112, 3131, 3146, 3157, 3160, 3164, 3179, 3180, 3184, 3199, 3200,
                       3209, 3210, 3267, 3280, 3317, 3342, 3347, 3354, 3384, 3398, 3411, 3424, 3427, 3434, 3477, 3478,
                       3494, 3529, 3550, 3551, 3609, 3618, 3628, 3636, 3650, 3797, 3834, 3852, 3879, 3899, 3912, 3928,
                       3943, 3946, 3952, 3980, 4002, 4004, 4006, 4053, 4074, 4082, 4111, 4117, 4155, 4157, 4168, 4190,
                       4195, 4288, 4309, 4355, 4438, 4462, 4573, 4616, 4619, 4673, 4687, 4771, 4773, 4789, 4796, 4804,
                       4859, 4914, 4932, 4951, 5040, 5054, 5078, 5088, 5130, 5139, 5187, 5224, 5234, 5261, 5280, 5314,
                       5329, 5392, 5421, 5438, 5440, 5466, 5468, 5475, 5485, 5488, 5495, 5498, 5499, 5525, 5536, 5538,
                       5569, 5584, 5592, 5609, 5620, 5655, 5659, 5678, 5698, 5714, 5754, 5770, 5800, 5879, 5897, 5901,
                       5904, 5911, 5916, 5930, 5938, 5956, 5961, 5966, 5978, 6017, 6039, 6086, 6124, 6132, 6172, 6194,
                       6229, 6236, 6343, 6346, 6358, 6360, 6373, 6427, 6437, 6496, 6548, 6578, 6589, 6614, 6656, 6675,
                       6684, 6738, 6752, 6757, 6762, 6776, 6796, 6816, 6817, 6905, 6907, 6919, 6921, 6942, 7003, 7049,
                       7093, 7094, 7107, 7111, 7137, 7142, 7160, 7172, 7192],
                5474: [5498, 5773, 5792, 5839, 5961, 6171, 6252, 6325, 6455, 6562, 7064], 1380: [1852, 4195],
                4326: [6657], 5479: [6813], 5692: [5743, 5791, 6942],
                5482: [5521, 5655, 5856, 5883, 5899, 5901, 5904, 5913, 5978, 6236, 6355, 6548, 6642, 6672, 6833, 6979,
                       7006, 7049, 7101, 7111, 7162, 7199],
                5484: [5655, 5773, 5792, 5904, 6657, 6841, 6919, 7049, 7192],
                1391: [1930, 2453, 4826, 5537, 5727, 6470], 1392: [4163],
                1394: [1550, 2208, 2251, 2274, 2338, 2350, 2371, 2747, 2772, 2847, 4074, 5130, 5188, 5456, 5468, 5512,
                       5727, 5754, 5825, 5904, 5954, 6648, 6657, 6807, 6983, 7111, 7162, 7192],
                1398: [3384, 4355, 5314, 5468, 5483, 6360, 6935], 1399: [6247], 1405: [3852, 6360], 1409: [3287],
                5506: [5754, 6236, 6261, 6942],
                1416: [1572, 2500, 2630, 2794, 3453, 3609, 4964, 5393, 6572, 6633, 7101], 1418: [2626, 5390],
                919: [1309, 1343, 1481, 1504, 1634, 1715, 2024, 2141, 2158, 2440, 2457, 2762, 2847, 2899, 2900, 3384,
                      3773, 3946, 3951, 4288, 4453, 4789, 5229, 5282, 5438, 5468, 5493, 5498, 5540, 5714, 5754, 5801,
                      6360, 6724, 6907], 1420: [2376, 5754],
                1421: [1426, 1427, 1445, 1449, 1455, 1464, 1471, 1481, 1482, 1534, 1545, 1548, 1550, 1564, 1571, 1572,
                       1593, 1600, 1625, 1640, 1657, 1697, 1701, 1719, 1724, 1737, 1742, 1751, 1771, 1772, 1780, 1786,
                       1811, 1815, 1827, 1837, 1850, 1852, 1856, 1858, 1864, 1868, 1919, 1925, 1950, 1961, 2036, 2044,
                       2076, 2089, 2092, 2094, 2141, 2145, 2158, 2178, 2251, 2274, 2279, 2280, 2286, 2294, 2302, 2307,
                       2311, 2317, 2319, 2350, 2361, 2370, 2371, 2376, 2416, 2433, 2434, 2459, 2462, 2463, 2486, 2491,
                       2492, 2493, 2500, 2504, 2511, 2520, 2526, 2533, 2540, 2553, 2557, 2582, 2609, 2623, 2636, 2639,
                       2644, 2648, 2657, 2659, 2660, 2672, 2680, 2683, 2707, 2729, 2738, 2743, 2746, 2747, 2769, 2772,
                       2774, 2775, 2778, 2783, 2789, 2794, 2797, 2800, 2802, 2813, 2848, 2849, 2858, 2867, 2870, 2880,
                       2901, 2914, 2927, 2930, 2938, 2939, 2962, 2998, 3005, 3024, 3036, 3066, 3098, 3108, 3112, 3119,
                       3131, 3138, 3146, 3210, 3258, 3264, 3267, 3269, 3304, 3315, 3336, 3347, 3354, 3357, 3378, 3384,
                       3392, 3406, 3411, 3440, 3441, 3454, 3461, 3462, 3480, 3481, 3488, 3489, 3495, 3500, 3505, 3506,
                       3534, 3551, 3565, 3566, 3570, 3576, 3577, 3593, 3618, 3622, 3626, 3628, 3647, 3650, 3667, 3681,
                       3698, 3715, 3752, 3778, 3779, 3798, 3804, 3851, 3852, 3858, 3875, 3895, 3898, 3912, 3928, 3929,
                       3931, 3951, 3958, 3961, 3964, 3965, 3976, 3996, 4004, 4006, 4028, 4036, 4053, 4074, 4082, 4084,
                       4089, 4111, 4113, 4116, 4119, 4129, 4153, 4161, 4168, 4182, 4189, 4190, 4218, 4248, 4271, 4283,
                       4298, 4304, 4309, 4312, 4313, 4318, 4322, 4355, 4364, 4369, 4383, 4453, 4465, 4494, 4539, 4573,
                       4576, 4605, 4608, 4616, 4657, 4673, 4676, 4690, 4708, 4711, 4713, 4738, 4763, 4766, 4771, 4783,
                       4795, 4800, 4804, 4838, 4841, 4850, 4857, 4859, 4870, 4880, 4909, 4918, 4927, 4932, 4936, 4939,
                       4943, 4951, 4952, 4957, 4980, 5005, 5016, 5020, 5022, 5023, 5031, 5056, 5063, 5078, 5088, 5095,
                       5098, 5130, 5133, 5143, 5182, 5188, 5197, 5209, 5232, 5245, 5251, 5261, 5280, 5312, 5314, 5341,
                       5355, 5372, 5383, 5387, 5390, 5392, 5406, 5432, 5440, 5455, 5456, 5459, 5466, 5468, 5475, 5480,
                       5483, 5493, 5495, 5498, 5499, 5525, 5536, 5538, 5541, 5582, 5592, 5604, 5609, 5633, 5642, 5656,
                       5659, 5698, 5714, 5725, 5732, 5741, 5743, 5754, 5756, 5762, 5770, 5792, 5800, 5801, 5810, 5857,
                       5885, 5887, 5904, 5912, 5916, 5923, 5949, 5954, 5961, 5964, 5966, 5979, 5995, 6014, 6017, 6025,
                       6027, 6038, 6039, 6040, 6071, 6083, 6120, 6124, 6171, 6172, 6194, 6204, 6229, 6236, 6257, 6266,
                       6269, 6273, 6286, 6299, 6312, 6339, 6346, 6360, 6363, 6373, 6376, 6378, 6383, 6385, 6405, 6410,
                       6427, 6443, 6446, 6455, 6476, 6481, 6493, 6504, 6505, 6537, 6548, 6557, 6572, 6589, 6600, 6617,
                       6648, 6657, 6675, 6684, 6685, 6711, 6712, 6733, 6738, 6742, 6743, 6754, 6757, 6788, 6791, 6796,
                       6799, 6802, 6810, 6824, 6831, 6841, 6851, 6852, 6853, 6876, 6877, 6898, 6905, 6919, 6920, 6921,
                       6935, 6942, 6945, 6972, 6986, 6991, 7000, 7003, 7030, 7035, 7049, 7067, 7069, 7079, 7083, 7086,
                       7089, 7093, 7094, 7101, 7105, 7110, 7111, 7118, 7137, 7154, 7160, 7172, 7179, 7181, 7185, 7192,
                       7198, 7199], 1422: [6360, 6935, 7192], 1423: [2376, 4288, 6360], 1424: [2900], 5524: [6818],
                5527: [5537, 5596, 5621, 5631, 5681, 5706, 5707, 5788, 5796, 5799, 5842, 5944, 6037, 6130, 6135, 6140,
                       6141, 6178, 6202, 6237, 6252, 6274, 6293, 6319, 6328, 6336, 6371, 6470, 6472, 6509, 6659, 6681,
                       6707, 6792, 6807, 6832, 6848, 6884, 6907, 7019, 7029, 7073, 7082, 7098, 7103, 7167, 7188],
                1432: [1455, 1464, 1572, 1918, 2158, 2238, 2251, 2274, 2302, 2319, 2376, 2451, 2526, 2683, 2813, 3112,
                       3200, 3317, 3519, 3529, 3550, 3650, 4089, 4195, 4616, 5098, 5130, 5209, 5468, 5536, 5655, 5698,
                       5714, 5754, 5904, 5912, 5923, 5956, 6427, 6812, 6841, 6919, 7094, 7192], 5529: [6127, 6143],
                5530: [7088],
                1439: [1571, 1613, 2141, 2149, 2236, 2361, 2626, 2659, 2963, 2998, 3066, 3128, 3131, 4687, 4801, 4918,
                       5130, 5592, 5743, 5857, 6017, 6171, 6373, 6633, 6797, 7089, 7123, 7137, 7172],
                1442: [2037, 2516, 2920, 5017, 5189, 5794, 6171], 2971: [3989, 4043, 4163, 4918, 5857, 6044],
                1448: [1571, 1650, 1852, 1868, 1919, 2044, 2094, 2158, 2238, 2350, 2679, 3066, 3087, 3112, 3351, 3500,
                       4218, 4516, 4576, 4608, 4704, 5130, 5438, 5489, 5754, 6127, 6346, 6657, 6675, 6796, 7093, 7137,
                       7172],
                5546: [5706, 5916, 5961, 6194, 6313, 6339, 6346, 6360, 6496, 6684, 6905, 6907, 6942, 7003, 7192],
                5547: [6293], 1453: [1919, 2141, 4789, 5754, 6236],
                1454: [1504, 1529, 1657, 1698, 1704, 1855, 1884, 2044, 2294, 2734, 2847, 2848, 3209, 3311, 3454, 3670,
                       3671, 3989, 4037, 4097, 4119, 4218, 4370, 4494, 4516, 4545, 4576, 4608, 4789, 4909, 4932, 5282,
                       5347, 5371, 5418, 5659, 5754, 5791, 6325, 6490, 6491, 6557, 6562, 6577, 6657, 6754, 6845, 6935,
                       7004, 7088], 5552: [5714, 5754, 6236, 6360, 6490, 6657, 6754, 7003, 7111, 7192], 5704: [6044],
                5555: [5754, 5913, 5961, 6071, 6127, 6360, 6754, 7154, 7172],
                1461: [1481, 1498, 1522, 1593, 1634, 1852, 1901, 1918, 2089, 2094, 2141, 2251, 2274, 2351, 2408, 2433,
                       2457, 2494, 2498, 2504, 2544, 2659, 2762, 2789, 2808, 2847, 2942, 2958, 2975, 3133, 3138, 3179,
                       3184, 3209, 3232, 3267, 3313, 3347, 3515, 3618, 3671, 3852, 3873, 3879, 3928, 3946, 3950, 4019,
                       4089, 4097, 4111, 4117, 4163, 4227, 4355, 4585, 4608, 4676, 4759, 4771, 4869, 4909, 4919, 4951,
                       5098, 5229, 5282, 5314, 5468, 5488, 5493, 5540, 5703, 5727, 5770, 5773, 5781, 5801, 5890, 5904,
                       5978, 6143, 6165, 6292, 6325, 6339, 6346, 6360, 6452, 6562, 6657, 6684, 6807, 6851, 6907, 6935,
                       6983, 7003, 7064, 7160, 7171], 5558: [7142], 1465: [1504], 5562: [7101],
                1467: [1522, 1593, 3179, 3384, 4195, 5314, 5727, 5770, 6143, 6360, 7171],
                5564: [5592, 5781, 5897, 5913, 6039, 6127, 6165, 6360, 6407, 6566, 6611, 6702, 6730, 6754, 6798, 6804,
                       6905, 6907, 6935, 6955, 7003, 7112, 7160, 7172],
                1470: [2141, 3398, 3609, 3931, 3983, 4595, 5468, 5678, 5897, 6071, 6755, 6757, 6776, 7164, 7172],
                1471: [4576, 6236], 5707: [5719], 1476: [1919, 5347, 6323, 6657],
                5575: [5659, 5754, 5773, 5791, 5792, 5904, 5961, 6143, 6236, 6300, 6325, 6339, 6363, 6490, 6491, 6657,
                       6684, 6921, 6935, 7171, 7192], 1480: [3265, 7123],
                6391: [6408, 6425, 6470, 6488, 6548, 6581, 6656, 6725, 6731, 6847, 7002, 7064, 7101, 7103, 7121, 7142,
                       7169], 1484: [2141, 4918, 6346, 7172],
                1488: [1491, 1505, 1534, 1572, 1588, 1600, 1679, 1682, 1696, 1700, 1701, 1719, 1721, 1780, 1783, 1786,
                       1839, 1850, 1864, 1909, 1918, 2062, 2087, 2100, 2104, 2107, 2172, 2202, 2223, 2251, 2255, 2272,
                       2274, 2280, 2302, 2319, 2326, 2338, 2342, 2350, 2351, 2376, 2398, 2425, 2451, 2526, 2544, 2553,
                       2557, 2581, 2598, 2601, 2619, 2623, 2648, 2664, 2665, 2746, 2769, 2772, 2792, 2794, 2813, 2814,
                       2873, 2880, 2962, 3119, 3158, 3200, 3218, 3220, 3317, 3358, 3370, 3406, 3481, 3494, 3529, 3550,
                       3570, 3641, 3650, 3668, 3669, 3717, 3740, 3764, 3777, 3779, 3805, 3830, 3852, 3873, 3894, 3929,
                       3937, 3960, 3970, 3977, 4071, 4075, 4083, 4099, 4111, 4115, 4167, 4168, 4217, 4229, 4248, 4256,
                       4263, 4269, 4285, 4318, 4355, 4364, 4369, 4440, 4539, 4573, 4603, 4621, 4691, 4730, 4766, 4773,
                       4937, 5012, 5020, 5023, 5028, 5034, 5061, 5078, 5098, 5130, 5170, 5179, 5191, 5209, 5213, 5233,
                       5235, 5259, 5271, 5281, 5282, 5287, 5355, 5370, 5392, 5426, 5437, 5440, 5449, 5454, 5459, 5468,
                       5483, 5509, 5521, 5524, 5537, 5577, 5584, 5596, 5616, 5655, 5702, 5727, 5735, 5754, 5791, 5796,
                       5800, 5803, 5856, 5901, 5904, 5908, 5912, 5954, 5966, 5989, 6014, 6063, 6085, 6106, 6139, 6165,
                       6186, 6202, 6210, 6219, 6247, 6269, 6271, 6277, 6317, 6319, 6343, 6360, 6417, 6427, 6429, 6470,
                       6496, 6505, 6509, 6540, 6548, 6552, 6558, 6583, 6594, 6657, 6680, 6684, 6744, 6753, 6774, 6799,
                       6810, 6811, 6812, 6818, 6823, 6835, 6841, 6886, 6919, 6924, 6930, 6946, 6958, 6966, 6990, 7003,
                       7045, 7047, 7049, 7073, 7074, 7141, 7162, 7188, 7192],
                5586: [5655, 5839, 5890, 5901, 5913, 6008, 6127, 6293, 6333, 6611, 6671, 6725, 6907, 6916, 7079, 7082,
                       7188], 1493: [5314],
                5590: [5653, 5656, 5667, 5706, 5741, 5792, 5961, 5982, 6229, 6236, 6252, 6339, 6657, 6684, 6687, 6907,
                       6935, 7094, 7192], 5593: [5659, 5754, 5801, 5877, 5961, 6044, 6143, 6562, 6657, 6905, 7172],
                5598: [5897], 5599: [6143, 7093],
                5520: [5856, 5904, 5912, 5966, 6014, 6317, 6343, 6636, 6812, 6815, 6818, 6919, 7006, 7049, 7101, 7192],
                1507: [2094, 2772, 5130, 5182, 5438, 5754, 6657, 7192], 1508: [5536, 6360],
                5608: [6390, 6470, 6488, 6514, 7103, 7169], 5610: [5754, 6017, 6143, 6511, 6905, 6942, 7093],
                1516: [2141, 4789], 5613: [6319, 6509, 6886, 7101],
                1519: [2044, 2302, 2319, 3112, 3978, 4218, 5488, 5754, 6648, 6905, 6942, 7093, 7172], 1520: [2626],
                5618: [5736, 5943, 5961, 6363, 6511, 6572, 6648, 7185], 3667: [4789],
                1524: [1571, 1852, 1868, 1901, 1919, 1930, 2024, 2044, 2094, 2141, 2158, 2181, 2338, 2350, 2440, 2465,
                       2481, 2500, 2679, 2680, 2847, 3026, 3066, 3109, 3112, 3131, 3209, 3210, 3384, 3454, 3517, 3518,
                       3852, 3946, 3951, 4097, 4218, 4288, 4576, 4608, 4676, 4771, 4789, 4951, 5063, 5088, 5130, 5197,
                       5282, 5311, 5438, 5489, 5493, 5498, 5592, 5659, 5754, 5897, 5961, 6127, 6143, 6194, 6325, 6339,
                       6360, 6562, 6617, 6824, 6851, 6905, 6921, 7086, 7093, 7094, 7172],
                1525: [1582, 1634, 1728, 1811, 1826, 2079, 2141, 2272, 2425, 2491, 2641, 2648, 3028, 3102, 3519, 3534,
                       3650, 3670, 3682, 3740, 4309, 4582, 4585, 4821, 4896, 4963, 5029, 5040, 5190, 5211, 5392, 5626,
                       5815, 5856, 6274, 6367, 6453, 6496, 6572, 6725, 6755, 6798, 6923, 6930, 7055, 7103, 7107],
                4688: [6511], 5628: [6675, 7093],
                5034: [5098, 5130, 5282, 5468, 5483, 5498, 5754, 5904, 5966, 6172, 6360, 6812, 6841, 7094, 7111],
                1543: [2141], 5643: [6659], 5644: [5964, 6172, 6496, 6589, 6935, 7003, 7166],
                5646: [5714, 5791, 5956, 6044, 6143, 6236, 6325, 6383, 6452, 6562, 6754, 6905, 6921, 7171],
                1551: [1901, 3609, 3809, 4964, 5432, 6373, 6408, 6656],
                5648: [5754, 5792, 5954, 5964, 6038, 6603, 6657, 7113, 7192], 1554: [1790, 2677, 6488],
                5651: [5883, 5900, 5912, 5966, 6020, 6087, 6349, 6405, 6483, 6600, 6653, 6655, 6737, 6776, 6818, 6919,
                       6986, 6995, 7101, 7123, 7172], 1556: [5498, 5754], 5654: [6425, 7101], 1560: [2302],
                5658: [6448],
                1563: [1571, 1586, 1588, 1591, 1593, 1602, 1616, 1620, 1654, 1657, 1681, 1690, 1698, 1706, 1717, 1724,
                       1726, 1730, 1743, 1751, 1771, 1774, 1795, 1809, 1813, 1814, 1826, 1834, 1837, 1852, 1855, 1858,
                       1859, 1861, 1868, 1869, 1873, 1878, 1884, 1911, 1917, 1919, 1930, 1966, 1985, 1987, 1990, 2005,
                       2013, 2023, 2024, 2044, 2058, 2076, 2089, 2094, 2124, 2129, 2141, 2150, 2152, 2158, 2162, 2169,
                       2190, 2194, 2227, 2238, 2251, 2253, 2262, 2274, 2279, 2286, 2294, 2302, 2307, 2319, 2334, 2338,
                       2350, 2351, 2355, 2360, 2367, 2376, 2408, 2416, 2421, 2433, 2434, 2435, 2453, 2455, 2457, 2465,
                       2472, 2473, 2481, 2486, 2491, 2492, 2494, 2500, 2504, 2519, 2541, 2544, 2562, 2611, 2613, 2639,
                       2643, 2649, 2650, 2658, 2659, 2668, 2669, 2673, 2680, 2686, 2695, 2717, 2734, 2738, 2743, 2747,
                       2761, 2762, 2775, 2778, 2783, 2789, 2808, 2813, 2847, 2848, 2860, 2870, 2871, 2886, 2890, 2899,
                       2901, 2912, 2920, 2934, 2936, 2939, 2940, 2975, 3005, 3006, 3014, 3024, 3026, 3066, 3087, 3098,
                       3109, 3112, 3119, 3132, 3179, 3191, 3199, 3209, 3210, 3223, 3230, 3237, 3264, 3267, 3280, 3287,
                       3293, 3311, 3313, 3315, 3339, 3340, 3347, 3349, 3351, 3367, 3369, 3384, 3395, 3398, 3399, 3424,
                       3435, 3440, 3445, 3446, 3454, 3461, 3466, 3467, 3477, 3480, 3485, 3500, 3504, 3505, 3515, 3517,
                       3518, 3525, 3526, 3531, 3548, 3577, 3579, 3593, 3594, 3595, 3604, 3608, 3613, 3626, 3635, 3636,
                       3670, 3671, 3676, 3687, 3692, 3694, 3700, 3707, 3711, 3718, 3740, 3773, 3775, 3786, 3829, 3842,
                       3852, 3862, 3872, 3873, 3875, 3879, 3882, 3903, 3904, 3924, 3930, 3946, 3949, 3950, 3951, 3958,
                       3965, 3978, 3989, 4000, 4002, 4003, 4004, 4008, 4037, 4045, 4046, 4053, 4072, 4074, 4097, 4105,
                       4111, 4117, 4119, 4148, 4153, 4154, 4160, 4161, 4168, 4171, 4172, 4189, 4192, 4195, 4211, 4218,
                       4222, 4227, 4262, 4280, 4288, 4300, 4312, 4322, 4326, 4338, 4355, 4364, 4370, 4383, 4405, 4424,
                       4453, 4462, 4478, 4494, 4528, 4537, 4539, 4573, 4576, 4582, 4585, 4608, 4619, 4640, 4644, 4672,
                       4676, 4680, 4697, 4708, 4711, 4720, 4724, 4728, 4759, 4763, 4771, 4779, 4789, 4791, 4795, 4804,
                       4813, 4822, 4841, 4857, 4859, 4869, 4870, 4876, 4894, 4898, 4909, 4932, 4943, 4951, 4957, 4980,
                       4993, 5041, 5062, 5077, 5088, 5095, 5098, 5102, 5104, 5130, 5131, 5139, 5148, 5177, 5182, 5197,
                       5221, 5223, 5226, 5229, 5232, 5251, 5252, 5259, 5260, 5261, 5268, 5279, 5282, 5297, 5311, 5314,
                       5329, 5347, 5354, 5363, 5371, 5409, 5411, 5418, 5420, 5430, 5432, 5438, 5440, 5442, 5468, 5475,
                       5483, 5485, 5488, 5489, 5493, 5495, 5498, 5503, 5512, 5525, 5534, 5536, 5541, 5582, 5585, 5592,
                       5607, 5627, 5632, 5633, 5636, 5653, 5655, 5656, 5659, 5667, 5678, 5691, 5701, 5714, 5727, 5732,
                       5736, 5741, 5754, 5773, 5774, 5775, 5791, 5792, 5794, 5801, 5808, 5810, 5826, 5827, 5831, 5848,
                       5855, 5864, 5871, 5879, 5892, 5897, 5904, 5907, 5913, 5923, 5938, 5942, 5950, 5955, 5961, 6004,
                       6006, 6025, 6036, 6057, 6076, 6077, 6086, 6127, 6137, 6143, 6146, 6194, 6209, 6213, 6234, 6236,
                       6240, 6242, 6243, 6252, 6257, 6261, 6266, 6268, 6269, 6298, 6300, 6303, 6310, 6313, 6317, 6323,
                       6325, 6337, 6339, 6346, 6358, 6360, 6362, 6363, 6388, 6407, 6410, 6415, 6431, 6434, 6442, 6450,
                       6455, 6469, 6476, 6482, 6487, 6490, 6491, 6511, 6557, 6562, 6563, 6572, 6577, 6578, 6603, 6616,
                       6617, 6651, 6657, 6675, 6684, 6689, 6697, 6706, 6709, 6730, 6733, 6738, 6754, 6771, 6788, 6796,
                       6799, 6804, 6839, 6841, 6845, 6851, 6853, 6864, 6869, 6877, 6905, 6907, 6910, 6915, 6921, 6923,
                       6942, 6945, 6953, 6955, 6957, 6967, 6977, 6983, 6990, 6991, 7000, 7003, 7004, 7035, 7049, 7064,
                       7067, 7080, 7086, 7088, 7093, 7094, 7113, 7162, 7164, 7171, 7172, 7192], 1565: [4163],
                1566: [4340, 4466, 6780],
                1568: [1571, 1814, 2141, 2335, 2406, 2460, 2847, 2958, 2977, 3066, 3454, 3638, 3769, 3978, 4153, 4163,
                       4529, 4546, 4711, 4859, 4918, 5088, 5102, 5475, 5659, 5756, 5810, 5897, 5961, 5981, 6127, 6171,
                       6185, 6194, 6229, 6410, 6614, 6616, 6754, 6824, 6853, 7004, 7064, 7093, 7172],
                1570: [1572, 1583, 1584, 1588, 1593, 1607, 1610, 1620, 1682, 1696, 1700, 1701, 1702, 1759, 1773, 1786,
                       1811, 1814, 1827, 1839, 1873, 1918, 1922, 1930, 1964, 2062, 2067, 2087, 2104, 2125, 2140, 2141,
                       2145, 2157, 2178, 2181, 2202, 2212, 2223, 2238, 2251, 2272, 2273, 2274, 2280, 2286, 2302, 2304,
                       2305, 2312, 2319, 2329, 2339, 2350, 2355, 2369, 2376, 2381, 2412, 2425, 2434, 2451, 2454, 2500,
                       2526, 2540, 2581, 2590, 2598, 2602, 2612, 2619, 2623, 2641, 2643, 2664, 2683, 2694, 2695, 2700,
                       2703, 2746, 2747, 2753, 2769, 2781, 2783, 2789, 2792, 2794, 2800, 2813, 2818, 2847, 2852, 2858,
                       2864, 2876, 2899, 2900, 2932, 2993, 3026, 3041, 3075, 3080, 3086, 3102, 3107, 3119, 3142, 3158,
                       3164, 3180, 3184, 3199, 3200, 3217, 3220, 3254, 3267, 3287, 3310, 3317, 3323, 3347, 3358, 3370,
                       3376, 3398, 3399, 3458, 3467, 3477, 3478, 3493, 3494, 3519, 3529, 3541, 3550, 3551, 3560, 3570,
                       3589, 3593, 3600, 3614, 3618, 3636, 3641, 3650, 3669, 3674, 3709, 3740, 3760, 3764, 3772, 3779,
                       3797, 3808, 3830, 3834, 3852, 3879, 3915, 3937, 3961, 3980, 3987, 4004, 4068, 4075, 4082, 4083,
                       4089, 4111, 4137, 4157, 4168, 4195, 4196, 4232, 4247, 4265, 4271, 4285, 4288, 4321, 4333, 4337,
                       4355, 4367, 4374, 4438, 4439, 4440, 4536, 4573, 4603, 4621, 4640, 4686, 4771, 4773, 4776, 4789,
                       4804, 4826, 4880, 4889, 4927, 4937, 4964, 5007, 5035, 5040, 5060, 5078, 5118, 5130, 5139, 5170,
                       5179, 5191, 5209, 5211, 5213, 5234, 5235, 5271, 5287, 5296, 5326, 5355, 5362, 5370, 5392, 5421,
                       5437, 5438, 5440, 5454, 5468, 5473, 5483, 5490, 5494, 5521, 5525, 5537, 5554, 5569, 5584, 5596,
                       5609, 5655, 5698, 5706, 5714, 5727, 5770, 5800, 5820, 5825, 5856, 5871, 5879, 5897, 5901, 5904,
                       5908, 5912, 5913, 5916, 5923, 5930, 5945, 5966, 5978, 6017, 6037, 6039, 6048, 6051, 6063, 6086,
                       6126, 6132, 6158, 6186, 6217, 6229, 6236, 6315, 6319, 6327, 6335, 6343, 6349, 6360, 6415, 6422,
                       6427, 6442, 6447, 6470, 6496, 6501, 6509, 6566, 6578, 6583, 6589, 6611, 6618, 6642, 6656, 6672,
                       6680, 6684, 6698, 6702, 6709, 6731, 6752, 6774, 6776, 6799, 6804, 6811, 6812, 6815, 6816, 6818,
                       6833, 6835, 6841, 6846, 6907, 6915, 6916, 6919, 6924, 6955, 6962, 6974, 6979, 7002, 7003, 7006,
                       7010, 7049, 7055, 7073, 7094, 7098, 7101, 7111, 7145, 7160, 7181, 7192, 7199],
                5668: [5698, 5754, 5897, 5961, 6905, 6923, 6942, 7093, 7137, 7172],
                4358: [4369, 4453, 4494, 4576, 4789, 4859, 4932, 5022, 5088, 5098, 5130, 5232, 5279, 5282, 5329, 5334,
                       5347, 5354, 5456, 5488, 5498, 5536, 5540, 5678, 5754, 5773, 5791, 5792, 5801, 5897, 5955, 6127,
                       6185, 6197, 6236, 6360, 6407, 6410, 6455, 6490, 6511, 6687, 6805, 6845, 6942, 7093, 7112, 7137,
                       7160, 7172], 1574: [2630, 3824, 5163, 7101], 5672: [6425, 6470],
                1578: [1701, 1811, 2477, 2630, 2677, 3519, 3609, 4826, 5078, 5163, 5468, 5779, 6172, 6425, 6470, 6488,
                       6656, 7002, 7101, 7121, 7169], 5686: [6127], 1591: [2141, 4576],
                1592: [2789, 4918, 5078, 5569, 6514],
                5690: [5715, 5741, 5773, 5775, 5792, 5904, 5979, 5982, 6172, 6247, 6257, 6269, 6383, 6490, 6562, 6657,
                       6770, 6857, 6922, 7086, 7090, 7172, 7192, 7198],
                1596: [1600, 1617, 1620, 1641, 1682, 1696, 1700, 1701, 1714, 1724, 1738, 1742, 1745, 1751, 1762, 1777,
                       1780, 1783, 1786, 1787, 1814, 1827, 1830, 1832, 1852, 1864, 1887, 1908, 1922, 1923, 1925, 1930,
                       1965, 1966, 1984, 2016, 2069, 2076, 2087, 2094, 2104, 2107, 2120, 2123, 2161, 2164, 2178, 2181,
                       2190, 2199, 2202, 2208, 2218, 2223, 2238, 2241, 2250, 2251, 2261, 2262, 2272, 2274, 2280, 2285,
                       2302, 2304, 2311, 2336, 2339, 2346, 2362, 2376, 2378, 2394, 2404, 2416, 2417, 2418, 2425, 2438,
                       2445, 2451, 2483, 2486, 2494, 2502, 2526, 2540, 2553, 2563, 2581, 2582, 2598, 2619, 2623, 2638,
                       2640, 2643, 2650, 2662, 2664, 2665, 2671, 2685, 2695, 2698, 2700, 2707, 2715, 2726, 2729, 2746,
                       2747, 2753, 2778, 2783, 2787, 2789, 2799, 2800, 2810, 2813, 2814, 2852, 2864, 2914, 2925, 2927,
                       2932, 2936, 2939, 2949, 2968, 3005, 3006, 3041, 3053, 3064, 3068, 3075, 3077, 3082, 3085, 3131,
                       3134, 3157, 3164, 3180, 3196, 3199, 3200, 3208, 3254, 3267, 3280, 3290, 3300, 3310, 3314, 3317,
                       3318, 3321, 3323, 3324, 3336, 3347, 3357, 3358, 3370, 3373, 3392, 3398, 3401, 3402, 3406, 3421,
                       3424, 3426, 3458, 3465, 3468, 3477, 3481, 3485, 3488, 3493, 3506, 3514, 3529, 3531, 3535, 3550,
                       3576, 3577, 3600, 3617, 3629, 3630, 3634, 3641, 3646, 3650, 3667, 3669, 3688, 3700, 3734, 3752,
                       3764, 3788, 3804, 3805, 3808, 3815, 3830, 3840, 3846, 3852, 3879, 3894, 3898, 3902, 3908, 3915,
                       3929, 3931, 3943, 3948, 3960, 3961, 3970, 3980, 3996, 4003, 4032, 4053, 4068, 4071, 4075, 4099,
                       4103, 4108, 4111, 4129, 4172, 4182, 4189, 4196, 4217, 4218, 4234, 4247, 4248, 4265, 4269, 4280,
                       4283, 4284, 4285, 4287, 4289, 4291, 4294, 4318, 4321, 4337, 4354, 4355, 4438, 4445, 4448, 4465,
                       4469, 4498, 4536, 4537, 4539, 4562, 4573, 4601, 4603, 4612, 4618, 4621, 4646, 4655, 4671, 4673,
                       4680, 4687, 4690, 4698, 4704, 4710, 4730, 4740, 4752, 4761, 4766, 4783, 4788, 4796, 4800, 4801,
                       4804, 4826, 4838, 4845, 4850, 4859, 4880, 4882, 4895, 4917, 4937, 4944, 4952, 4962, 4969, 4978,
                       5007, 5012, 5016, 5022, 5023, 5028, 5029, 5040, 5048, 5064, 5078, 5127, 5130, 5150, 5164, 5170,
                       5187, 5209, 5211, 5251, 5262, 5271, 5281, 5282, 5287, 5310, 5312, 5320, 5329, 5355, 5362, 5368,
                       5403, 5411, 5415, 5437, 5440, 5449, 5454, 5459, 5468, 5477, 5480, 5483, 5484, 5490, 5491, 5494,
                       5495, 5499, 5500, 5501, 5502, 5520, 5538, 5551, 5553, 5561, 5565, 5568, 5569, 5584, 5596, 5597,
                       5604, 5616, 5655, 5660, 5669, 5695, 5698, 5701, 5714, 5727, 5741, 5744, 5748, 5749, 5773, 5775,
                       5776, 5786, 5788, 5796, 5803, 5812, 5825, 5832, 5839, 5856, 5871, 5882, 5883, 5889, 5899, 5900,
                       5901, 5904, 5905, 5923, 5930, 5931, 5947, 5949, 5952, 5954, 5966, 5978, 5979, 5982, 5989, 6000,
                       6017, 6020, 6036, 6037, 6039, 6059, 6085, 6086, 6122, 6124, 6145, 6158, 6172, 6186, 6210, 6229,
                       6266, 6271, 6276, 6277, 6293, 6301, 6306, 6309, 6317, 6319, 6327, 6330, 6336, 6338, 6343, 6349,
                       6355, 6360, 6368, 6374, 6383, 6401, 6414, 6424, 6427, 6455, 6470, 6493, 6505, 6515, 6548, 6549,
                       6551, 6565, 6566, 6583, 6589, 6594, 6612, 6642, 6659, 6662, 6689, 6695, 6704, 6706, 6711, 6722,
                       6740, 6741, 6744, 6745, 6752, 6774, 6798, 6799, 6807, 6812, 6815, 6816, 6818, 6823, 6834, 6841,
                       6846, 6848, 6852, 6873, 6887, 6901, 6907, 6919, 6920, 6929, 6930, 6936, 6941, 6946, 6961, 6962,
                       6971, 6987, 6992, 6995, 7002, 7003, 7006, 7019, 7021, 7029, 7042, 7049, 7055, 7073, 7083, 7088,
                       7095, 7098, 7101, 7107, 7110, 7111, 7118, 7120, 7133, 7153, 7160, 7165, 7167, 7172, 7192, 7198,
                       7199], 5693: [6236, 6363], 1598: [7093], 5696: [5904],
                1601: [2094, 2141, 2158, 2500, 2659, 2783, 2847, 3066, 3112, 3454, 3671, 4000, 4153, 4218, 4453, 4576,
                       4918, 5130, 5282, 5493, 5592, 5627, 5754, 5904, 6143, 6172, 6194, 6845, 7003, 7093, 7094, 7137,
                       7172],
                1603: [3109, 3169, 3384, 3440, 3454, 4218, 4227, 5311, 5314, 5498, 5525, 5792, 5901, 6143, 6360, 6905,
                       6935], 5729: [5916, 6037, 6408, 6833, 6877, 7101, 7123], 1608: [5063],
                1609: [1891, 1905, 2559, 2626, 2789, 3144, 3265, 3414, 3982, 4240, 4283, 4465, 4692, 4704, 4992, 5420,
                       5679, 5754, 6058, 6443, 6657], 1611: [4826, 6470, 6907, 7101], 5718: [6360],
                5049: [5344, 5468, 5498, 5537, 5754, 5781, 5897, 5961, 6143, 6339, 6360, 6654, 6905, 6907, 6935],
                1629: [2216, 2959, 4164, 4396, 4400, 4554, 4574, 4636, 4660, 5109, 5286, 5410, 5634, 5680, 5857, 6223,
                       7103], 1630: [1650, 3640, 4119, 4218, 4494, 4576, 5041, 5456, 5656, 5754, 6511, 6657, 6824],
                1631: [1657, 1751, 1795, 1837, 1852, 1858, 1868, 1919, 2013, 2044, 2076, 2141, 2194, 2238, 2294, 2350,
                       2376, 2457, 2459, 2465, 2600, 2659, 2680, 2747, 2813, 2847, 2848, 2899, 2912, 3002, 3087, 3112,
                       3131, 3136, 3210, 3264, 3287, 3311, 3313, 3384, 3446, 3454, 3517, 3595, 3640, 3679, 3851, 3878,
                       3924, 3958, 4044, 4097, 4105, 4119, 4153, 4171, 4218, 4283, 4288, 4298, 4453, 4494, 4576, 4608,
                       4789, 4822, 4918, 4932, 4936, 4951, 4957, 5031, 5041, 5098, 5203, 5311, 5468, 5475, 5488, 5493,
                       5498, 5503, 5592, 5633, 5656, 5659, 5732, 5754, 5756, 6171, 6172, 6194, 6410, 6511, 6557, 6657,
                       6724, 6733, 6754, 6755, 6845, 6851, 6921, 6935, 6945, 6957, 7003, 7067, 7093, 7172],
                1632: [1647, 1666, 1667, 1670, 1679, 1687, 1688, 1696, 1702, 1703, 1713, 1715, 1721, 1728, 1729, 1730,
                       1766, 1770, 1773, 1775, 1779, 1787, 1789, 1811, 1814, 1876, 1883, 1900, 1901, 1902, 1907, 1914,
                       1930, 1933, 1949, 1955, 1963, 1986, 2001, 2004, 2009, 2010, 2024, 2034, 2050, 2106, 2108, 2109,
                       2110, 2117, 2122, 2130, 2138, 2141, 2157, 2159, 2161, 2177, 2198, 2204, 2217, 2220, 2221, 2245,
                       2255, 2284, 2302, 2329, 2338, 2360, 2372, 2378, 2385, 2400, 2406, 2419, 2424, 2435, 2467, 2469,
                       2472, 2477, 2481, 2518, 2519, 2524, 2552, 2558, 2564, 2566, 2567, 2571, 2588, 2591, 2598, 2612,
                       2617, 2621, 2624, 2630, 2671, 2700, 2703, 2723, 2736, 2744, 2753, 2755, 2756, 2761, 2762, 2777,
                       2782, 2792, 2837, 2840, 2844, 2847, 2852, 2854, 2857, 2875, 2876, 2885, 2887, 2890, 2900, 2906,
                       2918, 2933, 2950, 2962, 2966, 2975, 2977, 2986, 2990, 3001, 3004, 3007, 3008, 3017, 3019, 3027,
                       3046, 3052, 3072, 3080, 3097, 3122, 3127, 3130, 3155, 3162, 3164, 3179, 3187, 3201, 3205, 3209,
                       3210, 3216, 3217, 3227, 3245, 3257, 3259, 3277, 3278, 3292, 3305, 3329, 3330, 3362, 3376, 3386,
                       3402, 3430, 3431, 3442, 3467, 3493, 3511, 3524, 3539, 3544, 3562, 3564, 3579, 3589, 3597, 3614,
                       3628, 3636, 3660, 3668, 3671, 3682, 3686, 3709, 3712, 3730, 3733, 3740, 3758, 3765, 3772, 3773,
                       3785, 3794, 3796, 3805, 3807, 3814, 3824, 3843, 3852, 3856, 3873, 3877, 3890, 3919, 3935, 3939,
                       3940, 3946, 3956, 3960, 3974, 3983, 3991, 3993, 4002, 4014, 4057, 4060, 4071, 4073, 4076, 4083,
                       4093, 4100, 4101, 4103, 4127, 4137, 4150, 4151, 4157, 4180, 4190, 4195, 4199, 4206, 4214, 4225,
                       4228, 4232, 4243, 4253, 4257, 4258, 4271, 4296, 4297, 4303, 4309, 4312, 4314, 4355, 4357, 4361,
                       4362, 4370, 4388, 4392, 4397, 4401, 4408, 4412, 4414, 4422, 4440, 4443, 4448, 4455, 4457, 4462,
                       4472, 4482, 4493, 4497, 4530, 4537, 4550, 4554, 4565, 4595, 4628, 4665, 4679, 4686, 4699, 4709,
                       4735, 4759, 4764, 4765, 4767, 4776, 4777, 4792, 4797, 4807, 4808, 4809, 4813, 4819, 4820, 4826,
                       4828, 4841, 4846, 4865, 4867, 4906, 4910, 4921, 4927, 4937, 4949, 4950, 4960, 4981, 4991, 5002,
                       5029, 5039, 5046, 5054, 5059, 5061, 5066, 5072, 5076, 5116, 5140, 5147, 5151, 5162, 5163, 5172,
                       5175, 5187, 5216, 5222, 5252, 5254, 5257, 5267, 5271, 5276, 5279, 5289, 5307, 5322, 5337, 5343,
                       5344, 5375, 5377, 5439, 5443, 5459, 5464, 5471, 5483, 5503, 5508, 5533, 5537, 5569, 5609, 5623,
                       5624, 5627, 5641, 5660, 5667, 5672, 5678, 5681, 5686, 5687, 5699, 5720, 5722, 5731, 5738, 5739,
                       5742, 5749, 5763, 5768, 5773, 5779, 5781, 5788, 5789, 5790, 5799, 5800, 5802, 5803, 5815, 5820,
                       5839, 5862, 5864, 5865, 5874, 5877, 5880, 5881, 5897, 5908, 5914, 5916, 5920, 5929, 5933, 5941,
                       5947, 5950, 5969, 5988, 6032, 6039, 6048, 6057, 6068, 6069, 6073, 6075, 6078, 6093, 6103, 6156,
                       6165, 6168, 6170, 6171, 6172, 6209, 6213, 6214, 6220, 6223, 6238, 6244, 6267, 6274, 6277, 6290,
                       6302, 6343, 6345, 6360, 6372, 6387, 6424, 6435, 6456, 6467, 6470, 6480, 6496, 6499, 6506, 6512,
                       6515, 6522, 6540, 6543, 6555, 6583, 6599, 6611, 6613, 6645, 6656, 6659, 6664, 6669, 6680, 6692,
                       6696, 6709, 6725, 6742, 6744, 6753, 6775, 6776, 6778, 6804, 6813, 6826, 6837, 6884, 6905, 6907,
                       6915, 6932, 6942, 6955, 6959, 6968, 7002, 7003, 7010, 7011, 7034, 7040, 7059, 7063, 7068, 7073,
                       7112, 7125, 7159, 7160, 7165, 7170, 7177, 7190, 7191],
                1633: [1918, 2412, 2472, 2500, 2936, 3609, 4137, 4271, 4826, 4943, 6656, 6907],
                5730: [5754, 6127, 6236, 6346, 6796, 6942, 6948, 7172],
                5051: [5078, 5160, 5192, 5304, 5406, 5420, 5469, 5563, 5577, 5716, 5814, 5848, 5888, 5941, 6106, 6141,
                       6172, 6197, 6204, 6217, 6291, 6299, 6305, 6349, 6437, 6448, 6495, 6552, 6636, 6689, 6776, 6795,
                       6811, 6835, 6886, 6898, 6910, 6965, 6995, 7006, 7090, 7109, 7166],
                1637: [1701, 1751, 2076, 2141, 2158, 2274, 2302, 2319, 2338, 2376, 2747, 3280, 3467, 4111, 4573, 5130,
                       5468, 5592, 5656, 5754, 5792, 5904, 6496, 6841, 6907, 7049, 7079, 7172, 7192],
                5735: [5754, 5904, 6360, 6657, 7192], 1640: [5078], 1641: [2526, 4168], 5739: [6360, 6905, 6907, 7158],
                5740: [5756, 6172, 6488, 7172], 1647: [2630], 5744: [6360], 1649: [2238, 4163, 4407, 5793],
                5746: [5858, 5899, 5923, 6031, 6165, 6247, 6383, 6425, 6687, 7049], 1651: [5468],
                1652: [1751, 1827, 1852, 1919, 1966, 2005, 2044, 2094, 2141, 2158, 2234, 2251, 2274, 2294, 2307, 2350,
                       2351, 2376, 2433, 2491, 2494, 2734, 2783, 2789, 2813, 2847, 2871, 2886, 2899, 3066, 3109, 3112,
                       3310, 3311, 3347, 3384, 3440, 3452, 3454, 3500, 3517, 3526, 3604, 3852, 3904, 3928, 3946, 3949,
                       4004, 4028, 4053, 4082, 4097, 4111, 4119, 4218, 4288, 4364, 4494, 4576, 4608, 4676, 4771, 4789,
                       4795, 4804, 4869, 4909, 4951, 5041, 5088, 5098, 5197, 5229, 5251, 5311, 5483, 5488, 5498, 5525,
                       5536, 5572, 5659, 5732, 5754, 5770, 5773, 5792, 5801, 5904, 5955, 6127, 6143, 6194, 6213, 6236,
                       6339, 6360, 6455, 6511, 6562, 6603, 6657, 6754, 6788, 6921, 6942, 6983, 6991, 7086, 7088, 7094,
                       7111, 7113, 7192], 7102: [7113, 7192], 1654: [4119],
                1656: [1868, 2158, 2557, 2747, 2772, 3628, 4153, 4168, 4576, 5130, 5455, 5456, 5578, 5592, 6197, 6346,
                       6572, 6824, 6869, 7094, 7172], 5753: [6935],
                1658: [1751, 1919, 2044, 2158, 2238, 2302, 2376, 2500, 2526, 2648, 2659, 2747, 3119, 3929, 4153, 4218,
                       4369, 4494, 4573, 4708, 5468, 5498, 5592, 5627, 5754, 6360, 6511, 6780, 6942, 7093, 7172],
                1659: [4608, 5754], 1660: [3628, 4789],
                1662: [1751, 1837, 1852, 1858, 1919, 1930, 2044, 2076, 2094, 2141, 2251, 2262, 2274, 2338, 2376, 2457,
                       2473, 2500, 2686, 2762, 2783, 2847, 2936, 3026, 3066, 3087, 3146, 3179, 3209, 3210, 3267, 3311,
                       3347, 3384, 3454, 3671, 3700, 3852, 3872, 3873, 4002, 4074, 4111, 4195, 4218, 4355, 4608, 4676,
                       4771, 4789, 4909, 4932, 4943, 4951, 5088, 5139, 5282, 5314, 5371, 5440, 5485, 5488, 5525, 5659,
                       5714, 5754, 5773, 5792, 5904, 6124, 6127, 6143, 6194, 6236, 6339, 6360, 6490, 6684, 6738, 6853,
                       6905, 6907, 7003, 7088, 7160],
                5759: [5857, 6044, 6058, 6127, 6172, 6185, 6197, 6273, 6562, 6648, 6983, 7198],
                1664: [2500, 2729, 3354, 3640, 5078, 5961, 6648, 7101],
                1665: [1679, 1787, 2103, 2104, 2424, 2425, 2502, 2630, 2664, 2866, 2884, 3158, 3275, 3646, 3785, 3900,
                       3972, 4095, 4337, 4443, 4596, 4805, 5116, 5160, 5233, 5254, 5281, 5396, 5591, 5616, 5652, 5702,
                       5721, 5796, 6186, 6271, 6309, 6319, 6350, 6361, 6470, 6483, 6540, 6552, 6583, 6633, 6639, 6659,
                       6688, 6744, 6886, 6902, 7047, 7121, 7169], 1669: [2847, 3671, 4192],
                1672: [2141, 3131, 4932, 5347, 5855],
                1673: [1747, 2001, 2102, 2145, 2146, 2166, 2189, 2630, 2748, 3622, 3774, 4060, 4570, 4679, 4713, 4918,
                       5245, 5261, 5303, 5432, 5616, 5642, 5756, 6084, 6149, 6236, 6755, 6923, 7142], 5771: [6360],
                1676: [1681, 1701, 1717, 2158, 2659, 2813, 3036, 3200, 3781, 5078, 5698, 5754, 5912, 6172, 6657],
                5777: [6047, 6127, 6346, 7142, 7172], 1682: [1701, 2302, 3650, 4573, 5468, 5537, 6812, 6907],
                1684: [1696, 1697, 1702, 1704, 1721, 1726, 1730, 1746, 1751, 1756, 1772, 1773, 1774, 1780, 1787, 1790,
                       1803, 1813, 1814, 1815, 1820, 1827, 1834, 1837, 1848, 1852, 1857, 1869, 1873, 1878, 1883, 1884,
                       1888, 1889, 1901, 1907, 1908, 1911, 1918, 1919, 1930, 1931, 1935, 1942, 1954, 1957, 1964, 1984,
                       1985, 2010, 2019, 2024, 2045, 2058, 2070, 2076, 2079, 2080, 2085, 2089, 2094, 2109, 2118, 2125,
                       2130, 2139, 2141, 2152, 2169, 2181, 2186, 2190, 2199, 2212, 2222, 2238, 2255, 2268, 2272, 2274,
                       2280, 2286, 2294, 2302, 2307, 2319, 2320, 2329, 2334, 2338, 2347, 2351, 2362, 2376, 2381, 2394,
                       2408, 2416, 2418, 2421, 2425, 2427, 2440, 2443, 2446, 2451, 2453, 2457, 2460, 2462, 2467, 2473,
                       2481, 2483, 2486, 2491, 2492, 2494, 2498, 2504, 2510, 2519, 2522, 2525, 2530, 2532, 2537, 2540,
                       2544, 2556, 2563, 2569, 2573, 2578, 2590, 2592, 2595, 2597, 2598, 2600, 2602, 2611, 2622, 2637,
                       2639, 2643, 2650, 2657, 2658, 2665, 2671, 2676, 2686, 2695, 2700, 2701, 2709, 2717, 2720, 2725,
                       2727, 2736, 2743, 2747, 2753, 2762, 2774, 2778, 2789, 2799, 2807, 2808, 2810, 2824, 2847, 2849,
                       2850, 2854, 2858, 2870, 2872, 2890, 2892, 2895, 2899, 2900, 2903, 2908, 2913, 2920, 2926, 2930,
                       2934, 2936, 2939, 2944, 2947, 2949, 2952, 2962, 2975, 2977, 2983, 2986, 2993, 2996, 3003, 3007,
                       3014, 3015, 3026, 3039, 3041, 3074, 3076, 3077, 3080, 3090, 3098, 3104, 3109, 3112, 3131, 3132,
                       3133, 3138, 3157, 3158, 3173, 3176, 3179, 3180, 3191, 3199, 3209, 3210, 3217, 3223, 3232, 3234,
                       3237, 3243, 3254, 3257, 3264, 3267, 3274, 3277, 3278, 3280, 3284, 3287, 3299, 3309, 3310, 3313,
                       3315, 3323, 3332, 3336, 3342, 3347, 3353, 3363, 3376, 3381, 3385, 3395, 3399, 3402, 3411, 3413,
                       3414, 3419, 3423, 3426, 3435, 3446, 3461, 3466, 3477, 3481, 3493, 3506, 3517, 3518, 3531, 3534,
                       3548, 3549, 3550, 3562, 3570, 3588, 3589, 3591, 3593, 3595, 3608, 3610, 3618, 3628, 3635, 3645,
                       3650, 3671, 3676, 3678, 3680, 3684, 3688, 3692, 3694, 3695, 3700, 3707, 3713, 3727, 3731, 3734,
                       3739, 3740, 3744, 3746, 3757, 3773, 3775, 3785, 3788, 3793, 3795, 3804, 3807, 3808, 3829, 3837,
                       3842, 3852, 3872, 3873, 3879, 3882, 3904, 3915, 3922, 3928, 3930, 3931, 3946, 3947, 3956, 3958,
                       3977, 3978, 3981, 3982, 3989, 4009, 4015, 4031, 4037, 4046, 4053, 4057, 4068, 4069, 4074, 4081,
                       4083, 4091, 4097, 4103, 4111, 4147, 4152, 4158, 4160, 4161, 4163, 4167, 4172, 4185, 4189, 4194,
                       4198, 4211, 4217, 4218, 4227, 4232, 4233, 4234, 4238, 4242, 4251, 4265, 4271, 4272, 4278, 4283,
                       4285, 4287, 4294, 4296, 4298, 4309, 4312, 4321, 4328, 4355, 4360, 4399, 4402, 4422, 4426, 4439,
                       4440, 4451, 4453, 4469, 4496, 4513, 4537, 4539, 4542, 4546, 4560, 4561, 4573, 4576, 4585, 4595,
                       4600, 4608, 4619, 4635, 4640, 4671, 4672, 4676, 4685, 4689, 4699, 4704, 4709, 4711, 4715, 4724,
                       4729, 4737, 4739, 4752, 4766, 4768, 4770, 4771, 4780, 4782, 4789, 4798, 4801, 4822, 4826, 4836,
                       4859, 4865, 4869, 4885, 4888, 4889, 4905, 4909, 4926, 4932, 4936, 4945, 4947, 4955, 4956, 4969,
                       4981, 4982, 5016, 5022, 5023, 5040, 5048, 5062, 5064, 5066, 5077, 5088, 5089, 5098, 5127, 5130,
                       5132, 5140, 5143, 5146, 5149, 5150, 5162, 5170, 5175, 5177, 5182, 5187, 5190, 5213, 5216, 5226,
                       5229, 5232, 5234, 5250, 5251, 5252, 5254, 5259, 5260, 5261, 5269, 5271, 5274, 5282, 5286, 5289,
                       5293, 5294, 5314, 5315, 5317, 5320, 5321, 5326, 5329, 5334, 5344, 5347, 5366, 5370, 5372, 5395,
                       5398, 5409, 5413, 5418, 5422, 5423, 5429, 5438, 5440, 5449, 5454, 5459, 5464, 5465, 5468, 5475,
                       5483, 5485, 5486, 5488, 5511, 5534, 5537, 5540, 5545, 5557, 5559, 5568, 5569, 5572, 5584, 5596,
                       5597, 5598, 5606, 5609, 5612, 5624, 5626, 5630, 5631, 5640, 5646, 5653, 5655, 5656, 5660, 5675,
                       5678, 5681, 5682, 5691, 5695, 5701, 5703, 5706, 5712, 5714, 5721, 5727, 5730, 5735, 5739, 5768,
                       5773, 5774, 5775, 5781, 5784, 5788, 5789, 5791, 5793, 5801, 5802, 5804, 5807, 5810, 5825, 5827,
                       5831, 5836, 5839, 5851, 5854, 5855, 5858, 5873, 5887, 5889, 5891, 5897, 5899, 5900, 5901, 5903,
                       5904, 5908, 5913, 5923, 5954, 5956, 5981, 5982, 5995, 6002, 6022, 6027, 6031, 6039, 6053, 6059,
                       6076, 6081, 6099, 6100, 6101, 6122, 6127, 6135, 6139, 6143, 6159, 6165, 6169, 6171, 6185, 6209,
                       6211, 6213, 6227, 6229, 6237, 6238, 6247, 6252, 6257, 6265, 6266, 6268, 6274, 6279, 6292, 6293,
                       6296, 6298, 6300, 6301, 6302, 6310, 6311, 6313, 6317, 6319, 6321, 6325, 6330, 6345, 6346, 6356,
                       6358, 6360, 6362, 6370, 6373, 6382, 6385, 6388, 6401, 6407, 6424, 6440, 6442, 6452, 6455, 6462,
                       6468, 6482, 6486, 6490, 6491, 6492, 6509, 6512, 6521, 6537, 6562, 6564, 6566, 6581, 6583, 6593,
                       6601, 6603, 6605, 6611, 6616, 6617, 6622, 6634, 6642, 6654, 6657, 6662, 6666, 6667, 6672, 6679,
                       6680, 6684, 6702, 6704, 6730, 6733, 6734, 6738, 6743, 6744, 6750, 6757, 6760, 6767, 6771, 6772,
                       6776, 6779, 6786, 6796, 6798, 6799, 6805, 6807, 6825, 6831, 6832, 6833, 6839, 6841, 6848, 6852,
                       6853, 6857, 6858, 6864, 6870, 6876, 6877, 6879, 6884, 6887, 6905, 6907, 6909, 6910, 6915, 6916,
                       6918, 6922, 6923, 6929, 6935, 6938, 6941, 6945, 6948, 6955, 6961, 6983, 6989, 6990, 6992, 6998,
                       7002, 7019, 7029, 7034, 7049, 7063, 7071, 7074, 7075, 7079, 7080, 7083, 7086, 7097, 7104, 7107,
                       7109, 7127, 7144, 7157, 7158, 7160, 7162, 7167, 7168, 7171, 7172, 7180, 7182, 7188, 7189, 7191,
                       7199],
                1685: [2044, 2141, 2294, 2338, 2350, 3384, 3517, 3640, 4074, 4097, 4576, 4608, 4690, 4789, 4951, 5098,
                       5438, 5754, 5791, 5792, 6511, 6657, 6990],
                1686: [2408, 2847, 3671, 4037, 4163, 4355, 5282, 5801, 6127, 6300, 6325, 6339, 6490, 6935],
                1687: [7064], 1688: [5537, 6470, 6907], 4812: [6886],
                1692: [1869, 1918, 2141, 2274, 3066, 3104, 3131, 3775, 3852, 3951, 4097, 4218, 4576, 4789, 5130, 5282,
                       5347, 5489, 5656, 5678, 5754, 5773, 5904, 5961, 6101, 6346, 6360, 6490, 6603, 6942, 7003, 7093,
                       7160, 7172], 1693: [4218, 4576, 4909, 5098, 5656, 5754, 6657], 1702: [4195, 4573], 5785: [7101],
                6176: [6360],
                1707: [1732, 1751, 1795, 1809, 1852, 1863, 1889, 1891, 1905, 1919, 2044, 2141, 2238, 2251, 2268, 2280,
                       2334, 2338, 2350, 2351, 2367, 2376, 2391, 2408, 2433, 2440, 2465, 2473, 2494, 2500, 2525, 2541,
                       2549, 2657, 2663, 2668, 2680, 2747, 2778, 2783, 2789, 2799, 2847, 2860, 2899, 2900, 2936, 3005,
                       3108, 3109, 3112, 3119, 3264, 3267, 3311, 3313, 3339, 3349, 3384, 3440, 3480, 3485, 3526, 3548,
                       3577, 3587, 3595, 3618, 3640, 3671, 3676, 3695, 3773, 3842, 3862, 3904, 3952, 3982, 4000, 4002,
                       4028, 4074, 4097, 4105, 4111, 4116, 4119, 4153, 4182, 4218, 4262, 4283, 4312, 4321, 4326, 4355,
                       4364, 4453, 4539, 4608, 4652, 4676, 4771, 4787, 4804, 4857, 4869, 4909, 4951, 5064, 5088, 5095,
                       5098, 5130, 5143, 5243, 5251, 5282, 5311, 5314, 5347, 5354, 5438, 5455, 5488, 5495, 5498, 5512,
                       5592, 5636, 5754, 5756, 5773, 5774, 5792, 5801, 5848, 5892, 5904, 5954, 5982, 6025, 6038, 6044,
                       6086, 6143, 6172, 6236, 6261, 6339, 6360, 6440, 6511, 6562, 6572, 6603, 6617, 6657, 6684, 6711,
                       6738, 6754, 6788, 6802, 6833, 6845, 6851, 6869, 6936, 6942, 6945, 6957, 6983, 7086, 7094, 7111,
                       7113, 7114, 7192],
                1708: [1724, 1752, 1756, 1763, 1771, 1782, 1795, 1809, 1810, 1852, 1855, 1869, 1884, 1911, 1919, 1920,
                       1966, 1985, 2024, 2044, 2076, 2089, 2094, 2141, 2150, 2152, 2158, 2162, 2188, 2194, 2234, 2262,
                       2274, 2294, 2307, 2330, 2333, 2334, 2338, 2343, 2350, 2351, 2369, 2371, 2376, 2391, 2408, 2465,
                       2473, 2494, 2533, 2537, 2549, 2557, 2609, 2659, 2669, 2673, 2686, 2717, 2734, 2747, 2749, 2762,
                       2772, 2774, 2775, 2799, 2808, 2813, 2847, 2848, 2870, 2871, 2899, 2900, 2919, 3005, 3024, 3087,
                       3138, 3146, 3216, 3258, 3287, 3288, 3306, 3311, 3315, 3325, 3342, 3349, 3384, 3409, 3433, 3440,
                       3445, 3446, 3449, 3450, 3454, 3461, 3480, 3481, 3488, 3500, 3517, 3518, 3526, 3572, 3594, 3608,
                       3613, 3635, 3640, 3671, 3676, 3684, 3703, 3707, 3747, 3762, 3773, 3795, 3842, 3875, 3904, 3924,
                       3946, 3951, 3996, 4000, 4004, 4006, 4028, 4053, 4074, 4097, 4105, 4116, 4119, 4148, 4156, 4171,
                       4192, 4195, 4211, 4218, 4313, 4324, 4326, 4364, 4383, 4453, 4494, 4516, 4545, 4568, 4576, 4608,
                       4616, 4652, 4676, 4690, 4708, 4789, 4791, 4822, 4850, 4857, 4898, 4909, 4932, 4951, 4993, 4997,
                       5032, 5041, 5088, 5095, 5098, 5130, 5182, 5197, 5209, 5279, 5282, 5311, 5314, 5320, 5329, 5347,
                       5371, 5405, 5409, 5438, 5442, 5456, 5483, 5488, 5489, 5498, 5525, 5536, 5541, 5592, 5627, 5653,
                       5656, 5667, 5691, 5736, 5741, 5754, 5773, 5775, 5791, 5792, 5801, 5904, 5907, 5913, 5942, 5955,
                       5964, 5979, 5982, 6002, 6004, 6025, 6097, 6120, 6137, 6236, 6257, 6279, 6300, 6310, 6323, 6325,
                       6339, 6360, 6362, 6363, 6376, 6407, 6448, 6476, 6490, 6491, 6511, 6520, 6537, 6557, 6562, 6563,
                       6603, 6657, 6662, 6673, 6687, 6689, 6754, 6773, 6788, 6802, 6814, 6819, 6821, 6831, 6845, 6898,
                       6911, 6921, 6929, 6935, 6942, 6953, 6983, 6990, 6991, 7035, 7037, 7064, 7080, 7094, 7111, 7113,
                       7114, 7162, 7171, 7179, 7192, 7198], 1710: [5754], 1714: [2141],
                5811: [5857, 6142, 6214, 6547, 6648, 6780, 6813, 7004, 7142],
                1716: [2094, 2141, 2370, 3411, 4168, 4182, 4283, 4318, 4673, 5698, 5743, 6144, 6341, 6600, 6633, 6824,
                       7172, 7192], 5813: [6143, 6172, 6360, 6743, 6776, 7003, 7088, 7093, 7172],
                1718: [5456, 5754, 6236], 1719: [5468, 5754, 6657], 1720: [2500, 4943, 5754], 5817: [6907],
                1723: [1752, 1753, 1852, 1858, 1863, 1868, 1869, 1919, 2044, 2076, 2141, 2194, 2238, 2294, 2313, 2350,
                       2465, 2500, 2570, 2778, 2848, 2998, 3036, 3066, 3112, 3131, 3262, 3311, 3349, 3384, 3454, 3495,
                       3500, 3638, 3640, 3647, 3801, 3878, 3929, 3946, 3989, 4000, 4044, 4074, 4097, 4105, 4153, 4160,
                       4218, 4383, 4453, 4494, 4576, 4918, 4951, 4997, 5041, 5203, 5280, 5311, 5314, 5354, 5432, 5438,
                       5498, 5525, 5627, 5645, 5656, 5659, 5743, 5754, 5756, 5857, 5961, 6017, 6044, 6185, 6363, 6410,
                       6557, 6657, 6733, 6738, 6754, 6845, 6905, 6942, 7004, 7070, 7093, 7099],
                1725: [1726, 1730, 1732, 1740, 1743, 1751, 1771, 1772, 1775, 1790, 1799, 1809, 1811, 1814, 1825, 1826,
                       1837, 1839, 1848, 1852, 1855, 1856, 1857, 1858, 1859, 1861, 1869, 1882, 1884, 1889, 1891, 1901,
                       1907, 1911, 1919, 1949, 1964, 1965, 1979, 1985, 1987, 1992, 2005, 2013, 2014, 2023, 2024, 2031,
                       2042, 2043, 2044, 2058, 2076, 2080, 2089, 2092, 2094, 2108, 2124, 2125, 2140, 2141, 2150, 2152,
                       2158, 2162, 2169, 2181, 2190, 2217, 2234, 2238, 2251, 2252, 2253, 2255, 2262, 2272, 2274, 2279,
                       2280, 2294, 2302, 2307, 2319, 2333, 2334, 2338, 2343, 2350, 2351, 2360, 2362, 2367, 2376, 2398,
                       2408, 2416, 2419, 2421, 2431, 2433, 2434, 2435, 2440, 2453, 2454, 2455, 2457, 2459, 2460, 2465,
                       2472, 2473, 2481, 2491, 2492, 2493, 2494, 2500, 2504, 2510, 2511, 2519, 2534, 2537, 2540, 2541,
                       2544, 2549, 2565, 2572, 2588, 2595, 2602, 2606, 2611, 2625, 2637, 2643, 2649, 2650, 2659, 2665,
                       2668, 2669, 2675, 2679, 2680, 2686, 2695, 2700, 2709, 2715, 2729, 2734, 2736, 2743, 2747, 2762,
                       2774, 2775, 2778, 2783, 2789, 2799, 2813, 2827, 2830, 2847, 2848, 2849, 2860, 2863, 2867, 2870,
                       2871, 2879, 2890, 2899, 2900, 2901, 2903, 2912, 2920, 2933, 2936, 2939, 2940, 2942, 2947, 2949,
                       2958, 2975, 2977, 2983, 3003, 3005, 3024, 3026, 3031, 3066, 3070, 3074, 3087, 3098, 3104, 3109,
                       3112, 3119, 3131, 3136, 3152, 3173, 3179, 3191, 3199, 3209, 3210, 3212, 3217, 3228, 3230, 3237,
                       3247, 3253, 3258, 3264, 3267, 3271, 3280, 3287, 3288, 3299, 3310, 3311, 3313, 3315, 3325, 3332,
                       3339, 3342, 3349, 3351, 3367, 3369, 3371, 3374, 3376, 3384, 3385, 3392, 3398, 3399, 3410, 3411,
                       3414, 3424, 3430, 3435, 3436, 3445, 3446, 3452, 3454, 3461, 3466, 3467, 3477, 3478, 3480, 3481,
                       3485, 3488, 3495, 3497, 3505, 3506, 3518, 3523, 3525, 3526, 3531, 3534, 3544, 3548, 3559, 3562,
                       3565, 3569, 3573, 3579, 3587, 3593, 3597, 3604, 3613, 3622, 3626, 3628, 3629, 3635, 3636, 3640,
                       3650, 3667, 3670, 3671, 3676, 3679, 3687, 3688, 3692, 3695, 3707, 3732, 3740, 3761, 3763, 3769,
                       3773, 3775, 3786, 3795, 3796, 3802, 3829, 3850, 3852, 3862, 3863, 3872, 3873, 3875, 3879, 3891,
                       3895, 3902, 3904, 3909, 3915, 3924, 3928, 3929, 3930, 3931, 3946, 3951, 3952, 3958, 3974, 3978,
                       3989, 4000, 4002, 4004, 4008, 4015, 4019, 4028, 4036, 4037, 4045, 4054, 4057, 4072, 4074, 4078,
                       4082, 4097, 4100, 4105, 4111, 4117, 4119, 4125, 4133, 4153, 4154, 4156, 4157, 4160, 4161, 4163,
                       4165, 4168, 4171, 4172, 4189, 4190, 4194, 4195, 4197, 4203, 4211, 4218, 4222, 4227, 4238, 4256,
                       4262, 4271, 4288, 4296, 4298, 4300, 4309, 4314, 4322, 4326, 4328, 4338, 4355, 4364, 4369, 4370,
                       4383, 4387, 4417, 4432, 4435, 4439, 4453, 4457, 4462, 4475, 4484, 4494, 4498, 4516, 4528, 4537,
                       4539, 4542, 4546, 4558, 4561, 4573, 4576, 4582, 4585, 4595, 4608, 4619, 4622, 4635, 4672, 4673,
                       4676, 4680, 4687, 4697, 4701, 4704, 4708, 4711, 4715, 4720, 4722, 4724, 4728, 4752, 4759, 4763,
                       4768, 4771, 4782, 4789, 4804, 4822, 4828, 4838, 4841, 4859, 4869, 4876, 4894, 4909, 4910, 4918,
                       4926, 4932, 4936, 4943, 4951, 4980, 4992, 4993, 5009, 5016, 5031, 5032, 5040, 5041, 5058, 5062,
                       5064, 5069, 5088, 5089, 5091, 5098, 5099, 5102, 5111, 5126, 5127, 5130, 5131, 5140, 5143, 5147,
                       5148, 5162, 5164, 5177, 5182, 5197, 5218, 5223, 5224, 5228, 5229, 5232, 5243, 5246, 5251, 5252,
                       5259, 5260, 5279, 5282, 5285, 5311, 5314, 5321, 5329, 5334, 5344, 5347, 5354, 5371, 5386, 5387,
                       5390, 5392, 5399, 5411, 5418, 5423, 5429, 5438, 5440, 5454, 5455, 5456, 5468, 5475, 5483, 5485,
                       5488, 5489, 5491, 5493, 5495, 5498, 5502, 5503, 5508, 5512, 5525, 5531, 5534, 5540, 5541, 5549,
                       5568, 5582, 5583, 5584, 5585, 5592, 5596, 5609, 5614, 5624, 5627, 5641, 5645, 5659, 5660, 5667,
                       5674, 5678, 5691, 5698, 5701, 5710, 5714, 5723, 5727, 5732, 5741, 5748, 5754, 5756, 5762, 5763,
                       5770, 5773, 5774, 5775, 5780, 5781, 5788, 5791, 5792, 5794, 5801, 5819, 5824, 5826, 5827, 5831,
                       5836, 5837, 5857, 5863, 5864, 5871, 5877, 5886, 5887, 5892, 5897, 5904, 5908, 5913, 5928, 5938,
                       5944, 5947, 5950, 5955, 5961, 5966, 5988, 6002, 6006, 6014, 6017, 6021, 6025, 6036, 6038, 6039,
                       6044, 6047, 6057, 6067, 6071, 6076, 6077, 6081, 6084, 6099, 6101, 6103, 6108, 6122, 6125, 6127,
                       6132, 6136, 6137, 6139, 6143, 6146, 6147, 6159, 6169, 6171, 6185, 6194, 6197, 6206, 6209, 6213,
                       6229, 6236, 6240, 6242, 6247, 6252, 6257, 6261, 6266, 6268, 6269, 6273, 6298, 6300, 6310, 6317,
                       6322, 6323, 6325, 6337, 6339, 6345, 6346, 6353, 6360, 6383, 6385, 6388, 6407, 6410, 6411, 6418,
                       6424, 6434, 6440, 6441, 6450, 6455, 6469, 6476, 6481, 6486, 6487, 6490, 6491, 6511, 6523, 6533,
                       6537, 6557, 6562, 6563, 6577, 6589, 6596, 6601, 6603, 6611, 6616, 6622, 6635, 6657, 6671, 6675,
                       6679, 6684, 6697, 6706, 6711, 6724, 6729, 6733, 6738, 6742, 6743, 6752, 6754, 6757, 6772, 6776,
                       6788, 6791, 6796, 6799, 6801, 6804, 6807, 6819, 6821, 6824, 6831, 6841, 6845, 6851, 6852, 6853,
                       6864, 6867, 6869, 6870, 6871, 6875, 6877, 6879, 6881, 6900, 6905, 6907, 6915, 6916, 6921, 6923,
                       6926, 6932, 6935, 6936, 6941, 6942, 6945, 6953, 6955, 6957, 6963, 6967, 6983, 6990, 6992, 6997,
                       7000, 7003, 7004, 7036, 7044, 7049, 7059, 7063, 7064, 7070, 7071, 7074, 7075, 7079, 7083, 7086,
                       7088, 7093, 7094, 7099, 7113, 7131, 7137, 7158, 7160, 7162, 7168, 7172, 7179, 7181, 7188, 7189,
                       7192, 7198, 7199], 1731: [2274, 3915, 4074, 5098, 5314, 5536, 6247, 6257, 6455, 7192],
                5750: [6127, 6171, 6229, 6293, 6346, 6360, 6496, 6684, 6738, 6905, 6907, 6923, 6942, 7172],
                5830: [6657, 7192], 6433: [6490, 6511, 6603, 6657, 6754, 6788, 6796, 6802, 6819, 6983, 7192],
                1737: [4218], 1738: [2319, 5468, 7172], 1741: [2094, 2294, 4789, 5493, 5656, 6325, 6657],
                1744: [1751, 1850, 1858, 2044, 2141, 2302, 2338, 2385, 2500, 2769, 2783, 2899, 2962, 3138, 3210, 3384,
                       3550, 3650, 3852, 4100, 4167, 4271, 5022, 5130, 5213, 5282, 5498, 5540, 5609, 5944, 6165, 6172,
                       6339, 6360, 6383, 6540, 6583, 6654, 6684, 6702, 7003, 7049, 7112],
                5752: [5857, 5936, 6185, 6824, 7004, 7172], 1746: [2657, 6360],
                5843: [5961, 6293, 6360, 6424, 6664, 6905, 6907, 7003, 7093, 7172], 7118: [7172],
                5849: [5877, 6044, 6101, 6127, 6143, 6171, 6185, 6261, 6325, 6490, 6562, 6577, 6616, 6845, 6957, 6963,
                       6992, 7004, 7088, 7172], 1754: [2141, 2302, 3384, 3650, 4089, 5078], 5852: [6633],
                1757: [1827, 1918, 1930, 1965, 2100, 2104, 2181, 2223, 2238, 2251, 2273, 2280, 2302, 2319, 2339, 2376,
                       2378, 2412, 2451, 2486, 2500, 2526, 2553, 2623, 2638, 2643, 2664, 2686, 2700, 2707, 2729, 2746,
                       2747, 2753, 2778, 2789, 2792, 2794, 2813, 2852, 2864, 2936, 2938, 2962, 3003, 3041, 3087, 3119,
                       3164, 3179, 3180, 3200, 3220, 3267, 3317, 3347, 3358, 3398, 3424, 3477, 3519, 3529, 3550, 3618,
                       3647, 3650, 3764, 3797, 3834, 3846, 3928, 3929, 3961, 3970, 3980, 4068, 4111, 4157, 4195, 4196,
                       4247, 4355, 4438, 4539, 4573, 4603, 4616, 4686, 4771, 4849, 4880, 4937, 4952, 5040, 5078, 5187,
                       5209, 5261, 5271, 5329, 5355, 5392, 5440, 5459, 5468, 5483, 5525, 5537, 5538, 5569, 5655, 5714,
                       5727, 5770, 5788, 5800, 5803, 5856, 5883, 5901, 5923, 5966, 5978, 6008, 6037, 6039, 6086, 6132,
                       6172, 6293, 6343, 6360, 6427, 6470, 6488, 6496, 6515, 6548, 6583, 6589, 6671, 6680, 6725, 6810,
                       6812, 6815, 6818, 6907, 6919, 6942, 7002, 7003, 7034, 7049, 7055, 7079, 7094, 7101, 7110, 7111,
                       7145, 7172, 7199],
                1758: [1795, 1852, 1863, 1905, 1911, 1919, 1947, 1981, 2094, 2123, 2135, 2151, 2158, 2164, 2241, 2251,
                       2280, 2294, 2307, 2332, 2334, 2342, 2367, 2376, 2391, 2392, 2408, 2416, 2455, 2457, 2459, 2462,
                       2473, 2494, 2500, 2561, 2572, 2599, 2626, 2650, 2660, 2679, 2705, 2715, 2747, 2775, 2787, 2799,
                       2870, 2913, 3005, 3087, 3089, 3138, 3156, 3235, 3268, 3315, 3347, 3426, 3450, 3462, 3481, 3506,
                       3534, 3576, 3608, 3613, 3628, 3671, 3676, 3703, 3752, 3773, 3828, 3829, 3842, 3872, 3898, 3951,
                       3958, 3990, 4006, 4015, 4032, 4071, 4074, 4082, 4119, 4125, 4129, 4182, 4189, 4200, 4211, 4218,
                       4253, 4271, 4283, 4364, 4368, 4383, 4453, 4465, 4516, 4657, 4673, 4690, 4697, 4713, 4779, 4783,
                       4827, 4869, 4909, 4917, 5016, 5019, 5026, 5130, 5209, 5259, 5267, 5279, 5282, 5310, 5325, 5341,
                       5355, 5368, 5405, 5418, 5440, 5476, 5498, 5500, 5512, 5543, 5553, 5578, 5582, 5627, 5636, 5641,
                       5653, 5659, 5669, 5747, 5754, 5792, 5796, 5825, 5913, 5982, 6020, 6036, 6094, 6124, 6139, 6172,
                       6202, 6204, 6236, 6247, 6299, 6312, 6317, 6323, 6325, 6338, 6368, 6429, 6443, 6448, 6493, 6548,
                       6657, 6689, 6743, 6754, 6796, 6799, 6802, 6824, 6831, 6845, 6898, 6901, 6919, 6942, 6946, 6953,
                       6990, 6991, 7003, 7049, 7067, 7083, 7088, 7109, 7111, 7192, 7199], 1760: [6383],
                1761: [1919, 2813, 3112, 3131, 3640, 4218, 4616, 5390, 5756, 6657],
                1762: [2251, 2302, 3671, 4111, 4355, 6684],
                1764: [1783, 1786, 1827, 1832, 1839, 1843, 1844, 1864, 1912, 1918, 1924, 1966, 2036, 2041, 2087, 2100,
                       2104, 2125, 2155, 2158, 2178, 2181, 2223, 2238, 2261, 2305, 2336, 2339, 2342, 2376, 2445, 2451,
                       2459, 2463, 2526, 2581, 2582, 2600, 2601, 2615, 2623, 2636, 2648, 2664, 2683, 2686, 2707, 2746,
                       2747, 2769, 2781, 2787, 2791, 2813, 2814, 2829, 2864, 2883, 2893, 2914, 2925, 2928, 2932, 2938,
                       2968, 3075, 3164, 3180, 3200, 3218, 3220, 3266, 3267, 3317, 3320, 3323, 3347, 3348, 3354, 3357,
                       3358, 3370, 3373, 3398, 3406, 3441, 3468, 3494, 3514, 3529, 3550, 3560, 3630, 3640, 3641, 3647,
                       3648, 3650, 3668, 3669, 3777, 3894, 3912, 3929, 3937, 3943, 3970, 3987, 3996, 4053, 4075, 4082,
                       4089, 4099, 4115, 4168, 4195, 4196, 4234, 4248, 4269, 4285, 4291, 4304, 4312, 4318, 4337, 4344,
                       4374, 4385, 4438, 4445, 4539, 4573, 4603, 4621, 4652, 4657, 4673, 4675, 4708, 4752, 4773, 4796,
                       4800, 4843, 4880, 4912, 4937, 4987, 5020, 5023, 5028, 5078, 5130, 5139, 5179, 5187, 5191, 5209,
                       5259, 5287, 5320, 5340, 5355, 5362, 5368, 5437, 5468, 5473, 5484, 5490, 5491, 5494, 5509, 5520,
                       5523, 5536, 5563, 5569, 5570, 5584, 5604, 5616, 5647, 5655, 5669, 5754, 5770, 5803, 5861, 5912,
                       5916, 5918, 5930, 5949, 5966, 5982, 5989, 6014, 6063, 6085, 6094, 6124, 6126, 6158, 6186, 6197,
                       6217, 6219, 6327, 6343, 6349, 6360, 6395, 6405, 6427, 6429, 6437, 6449, 6475, 6485, 6488, 6496,
                       6505, 6515, 6540, 6548, 6552, 6589, 6620, 6636, 6657, 6675, 6685, 6737, 6774, 6794, 6812, 6815,
                       6816, 6818, 6835, 6906, 6919, 6962, 6971, 6986, 6987, 6995, 7006, 7049, 7055, 7073, 7084, 7101,
                       7111, 7115, 7133, 7192, 7199],
                5862: [5897, 5901, 5916, 6037, 6048, 6124, 6172, 6303, 6313, 6315, 6343, 6360, 6373, 6425, 6470, 6488,
                       6496, 6509, 6540, 6543, 6581, 6583, 6587, 6594, 6611, 6617, 6659, 6684, 6692, 6702, 6905, 6907,
                       6915, 6948, 6955, 6972, 7002, 7003, 7029, 7049, 7112, 7121, 7137, 7160, 7172], 1767: [6247],
                1769: [1809, 1837, 1855, 1869, 1882, 1884, 1889, 1911, 1919, 2044, 2076, 2094, 2141, 2158, 2194, 2251,
                       2274, 2294, 2338, 2342, 2350, 2351, 2367, 2376, 2408, 2492, 2650, 2669, 2680, 2686, 2743, 2747,
                       2762, 2778, 2783, 2847, 2848, 2899, 2912, 3005, 3006, 3036, 3087, 3109, 3112, 3119, 3280, 3351,
                       3374, 3414, 3445, 3454, 3517, 3594, 3640, 3671, 3773, 3775, 3796, 3852, 3903, 3946, 3951, 3958,
                       4000, 4037, 4046, 4072, 4074, 4097, 4111, 4119, 4195, 4218, 4222, 4326, 4364, 4383, 4453, 4494,
                       4516, 4539, 4545, 4576, 4680, 4690, 4779, 4789, 4857, 4874, 4894, 4909, 4910, 4932, 5022, 5041,
                       5098, 5130, 5197, 5279, 5282, 5297, 5311, 5329, 5347, 5371, 5438, 5456, 5483, 5488, 5498, 5627,
                       5653, 5655, 5656, 5659, 5714, 5727, 5754, 5773, 5775, 5791, 5792, 5904, 5955, 6036, 6127, 6197,
                       6247, 6269, 6323, 6325, 6363, 6448, 6482, 6487, 6490, 6511, 6557, 6562, 6657, 6675, 6689, 6733,
                       6738, 6754, 6796, 6807, 6819, 6845, 6905, 6953, 6990, 7000, 7049, 7088, 7093, 7109, 7113, 7137,
                       7162, 7172, 7192], 1770: [2900, 3518], 1772: [2141, 4943, 5130, 5314, 5540, 5754, 6935, 7003],
                1773: [6905, 6907], 5872: [6171, 6293, 6372, 6514, 6725], 1777: [5078, 7101],
                5875: [6017, 6021, 6039, 6127, 6146, 6172, 6185, 6194, 6229, 6303, 6346, 6360, 6656, 6664, 6684, 6738,
                       6752, 6796, 6877, 6915, 6942, 6948, 7003, 7083, 7137, 7160, 7172],
                5876: [5877, 5885, 5887, 5892, 5938, 5961, 6044, 6076, 6127, 6143, 6146, 6167, 6171, 6181, 6185, 6194,
                       6325, 6339, 6358, 6376, 6412, 6434, 6452, 6577, 6603, 6615, 6617, 6656, 6663, 6686, 6724, 6754,
                       6756, 6780, 6845, 6851, 6876, 6921, 6935, 6952, 6954, 6957, 6959, 7036, 7064, 7067, 7075, 7094,
                       7103, 7105, 7153],
                1782: [1852, 3454, 4218, 4576, 4608, 5525, 5754, 5901, 6143, 6236, 6360, 6935],
                1785: [1901, 1930, 2433, 2778, 4163, 4595, 4759, 4918, 5498, 5540, 5950, 6127, 6601, 6905],
                1786: [5754], 1788: [3119],
                1793: [1795, 1809, 1837, 1848, 1852, 1855, 1868, 1869, 1884, 1911, 1919, 2013, 2024, 2044, 2076, 2089,
                       2094, 2141, 2152, 2158, 2194, 2206, 2210, 2238, 2253, 2274, 2294, 2334, 2338, 2343, 2350, 2351,
                       2367, 2376, 2457, 2465, 2473, 2481, 2492, 2494, 2557, 2570, 2573, 2599, 2611, 2613, 2626, 2650,
                       2659, 2668, 2669, 2680, 2734, 2743, 2747, 2749, 2775, 2783, 2813, 2847, 2848, 2870, 2899, 2912,
                       2919, 3005, 3036, 3087, 3109, 3112, 3138, 3191, 3210, 3247, 3287, 3288, 3309, 3311, 3349, 3351,
                       3384, 3391, 3414, 3446, 3452, 3454, 3480, 3495, 3517, 3525, 3538, 3548, 3577, 3595, 3624, 3635,
                       3640, 3670, 3671, 3676, 3684, 3740, 3775, 3814, 3852, 3873, 3878, 3903, 3904, 3924, 3946, 3951,
                       3958, 3989, 3995, 4000, 4015, 4037, 4044, 4046, 4072, 4097, 4105, 4111, 4117, 4119, 4155, 4167,
                       4171, 4211, 4218, 4227, 4283, 4298, 4312, 4326, 4364, 4370, 4383, 4405, 4453, 4494, 4516, 4539,
                       4545, 4563, 4576, 4582, 4608, 4676, 4687, 4697, 4708, 4728, 4771, 4789, 4791, 4894, 4909, 4910,
                       4932, 4941, 4951, 5041, 5063, 5088, 5098, 5131, 5148, 5182, 5203, 5260, 5279, 5282, 5311, 5314,
                       5329, 5347, 5371, 5390, 5420, 5438, 5442, 5456, 5483, 5485, 5488, 5493, 5498, 5503, 5525, 5592,
                       5627, 5633, 5636, 5653, 5656, 5659, 5741, 5754, 5773, 5774, 5775, 5792, 5826, 5904, 5955, 5964,
                       5979, 6025, 6099, 6127, 6137, 6139, 6143, 6194, 6269, 6325, 6339, 6341, 6360, 6363, 6376, 6407,
                       6410, 6448, 6482, 6490, 6491, 6511, 6557, 6563, 6577, 6603, 6616, 6657, 6675, 6738, 6754, 6796,
                       6819, 6831, 6845, 6867, 6905, 6921, 6942, 6945, 6953, 6990, 7000, 7004, 7037, 7067, 7070, 7080,
                       7086, 7093, 7094, 7113, 7137, 7162, 7172, 7196],
                1796: [1918, 3634, 4284, 5078, 6470, 6483, 6633, 6823, 6919, 7123, 7191], 5895: [6167],
                1800: [2256, 2373, 2406, 2630, 2677, 3095, 3453, 4066, 4283, 5078, 5591, 5677, 6483, 6600, 6628, 6633,
                       7076, 7123, 7191],
                1802: [1811, 1814, 1894, 1918, 1930, 2042, 2062, 2189, 2223, 2251, 2274, 2302, 2304, 2305, 2319, 2370,
                       2373, 2376, 2378, 2398, 2412, 2425, 2452, 2477, 2500, 2553, 2564, 2625, 2630, 2638, 2645, 2648,
                       2659, 2660, 2676, 2677, 2679, 2700, 2729, 2741, 2772, 2778, 2789, 2847, 2858, 2880, 2892, 2939,
                       3358, 3421, 3467, 3493, 3519, 3570, 3609, 3628, 3629, 3634, 3675, 3709, 3779, 3781, 3815, 3824,
                       3846, 3928, 3961, 3964, 4074, 4083, 4111, 4115, 4165, 4182, 4217, 4265, 4284, 4304, 4355, 4438,
                       4461, 4469, 4553, 4573, 4574, 4603, 4640, 4776, 4801, 4826, 4881, 4899, 4918, 4927, 4939, 4952,
                       5023, 5031, 5078, 5130, 5190, 5209, 5234, 5245, 5281, 5312, 5332, 5387, 5455, 5468, 5495, 5498,
                       5537, 5592, 5624, 5743, 5779, 5799, 5800, 5887, 5890, 5916, 5961, 5969, 6039, 6084, 6171, 6172,
                       6274, 6286, 6293, 6313, 6360, 6399, 6427, 6470, 6488, 6496, 6548, 6589, 6633, 6725, 6744, 6794,
                       6798, 6810, 6822, 6887, 6905, 6907, 6919, 6935, 7002, 7003, 7029, 7083, 7088, 7101, 7118, 7121,
                       7130, 7172, 7192, 7199], 5902: [5904, 6603, 6796, 7094, 7160, 7172], 5905: [6488],
                5906: [5908, 5930, 5961, 5964, 5979, 6017, 6048, 6124, 6236, 6360, 6363, 6385, 6407, 6427, 6481, 6486,
                       6490, 6511, 6557, 6642, 6657, 6675, 6754, 6776, 6802, 6841, 6921, 6935, 6990, 7000, 7074, 7113,
                       7137, 7192],
                5910: [5911, 5913, 5923, 5938, 5944, 5961, 5978, 6004, 6008, 6017, 6027, 6037, 6039, 6077, 6080, 6086,
                       6124, 6127, 6136, 6143, 6146, 6165, 6171, 6172, 6194, 6199, 6229, 6236, 6237, 6268, 6300, 6325,
                       6333, 6335, 6339, 6346, 6354, 6358, 6360, 6373, 6382, 6383, 6403, 6404, 6412, 6425, 6427, 6434,
                       6442, 6452, 6455, 6462, 6469, 6487, 6489, 6490, 6504, 6509, 6523, 6549, 6578, 6580, 6581, 6601,
                       6611, 6617, 6622, 6635, 6651, 6653, 6654, 6656, 6671, 6672, 6675, 6684, 6702, 6725, 6728, 6738,
                       6750, 6752, 6754, 6757, 6758, 6762, 6776, 6781, 6791, 6796, 6807, 6826, 6845, 6853, 6864, 6905,
                       6906, 6907, 6915, 6916, 6923, 6935, 6941, 6942, 6945, 6948, 6955, 6957, 6991, 6992, 6997, 7002,
                       7003, 7019, 7049, 7083, 7093, 7094, 7104, 7105, 7111, 7112, 7142, 7160, 7162, 7166, 7171, 7172,
                       7188], 5081: [5857], 1816: [3265],
                1817: [1827, 1873, 2058, 2123, 2140, 2141, 2158, 2212, 2251, 2274, 2302, 2319, 2338, 2350, 2371, 2376,
                       2486, 2639, 2650, 2738, 2778, 2852, 2858, 2860, 2870, 3026, 3112, 3398, 3481, 3519, 3570, 3608,
                       3650, 4004, 4034, 4111, 4217, 4218, 4312, 4355, 4364, 4462, 4539, 4553, 4573, 4616, 4640, 4676,
                       4677, 4789, 4804, 4826, 4857, 4909, 5130, 5170, 5209, 5245, 5282, 5409, 5440, 5468, 5498, 5521,
                       5525, 5655, 5659, 5714, 5754, 5774, 5775, 5791, 5827, 5858, 5890, 5904, 5913, 5923, 5955, 6127,
                       6199, 6229, 6355, 6415, 6442, 6455, 6496, 6657, 6754, 6757, 6776, 6799, 6841, 6846, 6905, 6910,
                       6919, 6983, 7045, 7049, 7079, 7094, 7111, 7162, 7185], 5914: [6360], 1821: [2302, 2794],
                5921: [6490, 6935], 5922: [6907],
                5924: [5930, 5949, 5951, 5961, 5964, 5979, 5989, 6008, 6014, 6017, 6030, 6038, 6048, 6054, 6084, 6086,
                       6113, 6118, 6120, 6121, 6124, 6126, 6132, 6137, 6149, 6157, 6158, 6180, 6213, 6220, 6229, 6236,
                       6242, 6251, 6252, 6253, 6257, 6261, 6268, 6272, 6311, 6313, 6315, 6317, 6327, 6337, 6339, 6356,
                       6360, 6362, 6363, 6379, 6385, 6399, 6404, 6407, 6410, 6411, 6412, 6415, 6419, 6422, 6423, 6427,
                       6431, 6434, 6437, 6446, 6447, 6449, 6450, 6455, 6460, 6487, 6490, 6491, 6496, 6501, 6504, 6505,
                       6517, 6523, 6537, 6548, 6550, 6557, 6560, 6562, 6563, 6578, 6583, 6586, 6589, 6590, 6610, 6612,
                       6618, 6630, 6631, 6642, 6648, 6651, 6656, 6657, 6662, 6666, 6672, 6675, 6687, 6689, 6697, 6707,
                       6709, 6711, 6712, 6722, 6727, 6733, 6742, 6752, 6754, 6759, 6762, 6772, 6779, 6788, 6796, 6798,
                       6799, 6802, 6808, 6817, 6819, 6821, 6831, 6841, 6846, 6870, 6871, 6873, 6879, 6885, 6898, 6905,
                       6915, 6919, 6921, 6923, 6924, 6935, 6942, 6972, 6977, 6990, 6991, 7000, 7003, 7004, 7025, 7035,
                       7036, 7049, 7060, 7064, 7071, 7086, 7088, 7093, 7095, 7096, 7098, 7105, 7111, 7113, 7131, 7137,
                       7142, 7152, 7154, 7171, 7176, 7179, 7192, 7199],
                5925: [6169, 6247, 6292, 6302, 6354, 6360, 6509, 6543, 6571, 6659, 6701, 6767, 6786, 6798, 6812, 6826,
                       6886, 6905, 6907, 6979, 6983, 6998, 7029], 1830: [5078],
                5927: [5954, 5961, 5964, 6017, 6025, 6038, 6044, 6058, 6070, 6071, 6133, 6143, 6181, 6236, 6241, 6261,
                       6269, 6310, 6323, 6339, 6362, 6363, 6407, 6410, 6448, 6452, 6481, 6490, 6511, 6529, 6557, 6562,
                       6603, 6617, 6651, 6657, 6667, 6673, 6711, 6733, 6754, 6788, 6796, 6802, 6814, 6819, 6824, 6845,
                       6867, 6869, 6871, 6876, 6878, 6905, 6917, 6942, 6945, 6957, 7000, 7004, 7067, 7070, 7080, 7086,
                       7093, 7094, 7099, 7104, 7113, 7114, 7117, 7131, 7135, 7137, 7172, 7185, 7192, 7198],
                1832: [1918, 2104, 2319, 2451, 2500, 2526, 2664, 2746, 2789, 2813, 2814, 2938, 3075, 3180, 3200, 3317,
                       3529, 3550, 3650, 3777, 4115, 4168, 4195, 4284, 4603, 4773, 4937, 5078, 5130, 5179, 5698, 5916,
                       5966, 6172, 6197, 6343, 6488, 6496, 6583, 6818, 6919, 7003, 7111, 7172],
                5929: [6127, 6165, 6171, 6172, 6252, 6300, 6317, 6325, 6328, 6360, 6490, 6603, 6684, 6743, 6757, 6877,
                       6907, 6935, 7137, 7160, 7172],
                1835: [1910, 2023, 2037, 2040, 2043, 2075, 2117, 2122, 2166, 2222, 2271, 2325, 2446, 2453, 2523, 2587,
                       2595, 2749, 2755, 2782, 2920, 2940, 2959, 2960, 2977, 3042, 3050, 3248, 3271, 3277, 3289, 3349,
                       3389, 3431, 3571, 3588, 3702, 3736, 3802, 3850, 3881, 4054, 4080, 4174, 4192, 4228, 4257, 4296,
                       4319, 4342, 4375, 4393, 4397, 4430, 4434, 4454, 4461, 4472, 4474, 4502, 4514, 4515, 4529, 4542,
                       4554, 4574, 4588, 4595, 4607, 4622, 4628, 4632, 4659, 4674, 4706, 4735, 4743, 4814, 4819, 4822,
                       4865, 4877, 4977, 4990, 5006, 5044, 5050, 5071, 5159, 5177, 5180, 5220, 5240, 5241, 5242, 5257,
                       5300, 5331, 5351, 5384, 5516, 5517, 5611, 5617, 5636, 5675, 5691, 5768, 5810, 5814, 5881, 5941,
                       6005, 6069, 6104, 6111, 6320, 6439, 6472, 6532, 6577, 6701, 6763, 6866, 6902, 6904, 6938, 6959,
                       7004, 7064, 7092], 1838: [4576, 6905, 7003], 5935: [6185, 7099], 4562: [5616, 7165],
                1842: [1930, 2753, 2789, 2959, 3144, 4163, 4918, 5078, 5254, 5537, 6659, 6762],
                1843: [4157, 4951, 5314, 6360, 6496, 6905, 7192], 1844: [3640, 3777, 4318, 5456, 5964, 7192],
                1846: [6325, 6360], 1849: [2141, 2500, 2899, 3454, 3548, 4576, 5498, 5754, 5801, 6684, 6935],
                1851: [2376, 4789, 5098, 5371, 5454, 5655, 7192],
                1854: [1861, 2092, 2141, 2158, 2251, 2274, 2280, 2307, 2338, 2350, 2367, 2371, 2376, 2408, 2434, 2451,
                       2486, 2491, 2500, 2541, 2582, 2598, 2643, 2659, 2717, 2769, 2778, 2783, 2800, 2813, 2847, 2899,
                       2900, 2939, 2942, 3005, 3066, 3138, 3179, 3199, 3267, 3310, 3313, 3315, 3325, 3436, 3452, 3454,
                       3518, 3548, 3608, 3618, 3671, 3740, 3773, 3808, 3879, 4006, 4082, 4089, 4111, 4211, 4218, 4256,
                       4271, 4312, 4355, 4364, 4494, 4576, 4608, 4676, 4724, 4789, 4813, 4850, 4857, 4880, 4980, 5022,
                       5040, 5098, 5105, 5130, 5139, 5197, 5209, 5229, 5261, 5267, 5282, 5314, 5329, 5456, 5468, 5475,
                       5483, 5498, 5536, 5538, 5540, 5592, 5698, 5714, 5727, 5728, 5741, 5754, 5762, 5770, 5773, 5791,
                       5792, 5801, 5839, 5887, 5897, 5904, 5913, 5950, 5954, 5961, 6039, 6071, 6086, 6125, 6127, 6143,
                       6165, 6172, 6194, 6229, 6236, 6247, 6257, 6266, 6267, 6303, 6325, 6339, 6360, 6383, 6415, 6442,
                       6455, 6490, 6603, 6657, 6662, 6684, 6742, 6752, 6754, 6757, 6807, 6841, 6846, 6851, 6877, 6907,
                       6921, 6935, 6942, 6945, 7003, 7040, 7049, 7064, 7079, 7083, 7086, 7094, 7111, 7160, 7171, 7172,
                       7192, 7198], 5951: [6236], 5953: [7192],
                5957: [5966, 6014, 6257, 6269, 6317, 6339, 6457, 6529, 6572, 6617, 6657, 6684, 6738, 6754, 6788, 6802,
                       6822, 6841, 6898, 6905, 6919, 6921, 6942, 6983, 6991, 7000, 7049, 7093, 7094, 7111, 7113, 7172,
                       7179, 7192], 5089: [5536, 6360, 6921], 1864: [5754, 7192], 5772: [6360, 7079],
                1866: [2141, 2274, 2544, 3550, 4608, 4676, 5130, 5282, 5456, 5468, 5678, 5791, 5801, 5904, 6603, 6657,
                       6841, 7094, 7111, 7160], 1867: [2141, 4918, 5961],
                1870: [2044, 2350, 2500, 4119, 4364, 4676, 5488, 5754, 6339, 6511], 1871: [2813, 5468],
                1872: [1901, 1918, 2141, 2302, 2500, 3609, 5916, 6470, 6656, 6907, 7101], 1873: [2274],
                1874: [2236, 2510, 2644, 2789, 3029, 3066, 4504, 4598, 4774, 4790, 4918, 4979, 5147, 5261],
                1877: [4163, 4918],
                1879: [1884, 1891, 1895, 1906, 1930, 2053, 2072, 2129, 2149, 2152, 2194, 2210, 2211, 2238, 2289, 2440,
                       2457, 2460, 2487, 2520, 2544, 2549, 2559, 2570, 2626, 2686, 2748, 2749, 2751, 2775, 2848, 2860,
                       2885, 2958, 2959, 2985, 3036, 3061, 3087, 3131, 3246, 3265, 3271, 3349, 3466, 3475, 3480, 3534,
                       3535, 3538, 3576, 3577, 3622, 3635, 3670, 3763, 3775, 3869, 3878, 3903, 3921, 3958, 4000, 4028,
                       4097, 4114, 4163, 4218, 4239, 4240, 4319, 4334, 4340, 4400, 4405, 4417, 4453, 4484, 4485, 4522,
                       4524, 4525, 4563, 4574, 4680, 4683, 4687, 4704, 4779, 4789, 4791, 4822, 4869, 4893, 4894, 4910,
                       4925, 5102, 5156, 5159, 5161, 5203, 5221, 5240, 5244, 5250, 5262, 5286, 5332, 5390, 5410, 5420,
                       5429, 5493, 5543, 5545, 5605, 5636, 5659, 5679, 5756, 5794, 5837, 5855, 5857, 6058, 6088, 6089,
                       6096, 6111, 6118, 6125, 6127, 6160, 6169, 6171, 6172, 6189, 6208, 6211, 6303, 6410, 6439, 6511,
                       6514, 6547, 6562, 6597, 6601, 6721, 6780, 6808, 6824, 6845, 6875, 6911, 7004, 7046, 7067, 7070,
                       7088, 7092, 7113, 7122, 7123], 1888: [1918],
                5986: [5988, 6008, 6017, 6021, 6037, 6039, 6057, 6076, 6099, 6101, 6108, 6112, 6125, 6127, 6132, 6136,
                       6143, 6146, 6165, 6169, 6171, 6172, 6185, 6194, 6229, 6237, 6242, 6247, 6252, 6257, 6261, 6266,
                       6268, 6273, 6293, 6298, 6300, 6302, 6303, 6315, 6321, 6330, 6333, 6339, 6345, 6346, 6354, 6360,
                       6373, 6407, 6410, 6412, 6415, 6418, 6427, 6434, 6442, 6452, 6455, 6462, 6467, 6469, 6476, 6487,
                       6490, 6492, 6493, 6509, 6511, 6523, 6525, 6537, 6543, 6562, 6572, 6578, 6581, 6594, 6596, 6601,
                       6611, 6617, 6634, 6654, 6663, 6666, 6667, 6671, 6684, 6686, 6687, 6702, 6724, 6725, 6729, 6730,
                       6733, 6738, 6750, 6752, 6755, 6757, 6762, 6772, 6791, 6796, 6799, 6804, 6805, 6807, 6821, 6845,
                       6851, 6852, 6853, 6864, 6877, 6894, 6900, 6905, 6907, 6915, 6916, 6918, 6921, 6931, 6932, 6935,
                       6941, 6942, 6945, 6948, 6955, 6992, 6997, 7002, 7003, 7034, 7035, 7040, 7049, 7064, 7072, 7074,
                       7079, 7083, 7086, 7094, 7112, 7137, 7142, 7158, 7160, 7171, 7172, 7181],
                5987: [5989, 6008, 6172, 6186, 6247, 6271, 6293, 6319, 6336, 6343, 6360, 6427, 6447, 6488, 6496, 6509,
                       6515, 6548, 6566, 6572, 6583, 6740, 6741, 6774, 6781, 6794, 6798, 6810, 6812, 6815, 6817, 6818,
                       6833, 6835, 6841, 6886, 6907, 6919, 6924, 6930, 6979, 7002, 7006, 7029, 7034, 7045, 7049, 7055,
                       7073, 7083, 7101, 7110, 7111, 7115, 7166],
                1892: [1895, 1905, 1906, 1917, 1919, 1920, 1950, 1971, 2013, 2020, 2024, 2031, 2037, 2044, 2049, 2050,
                       2076, 2084, 2088, 2091, 2094, 2129, 2141, 2158, 2162, 2194, 2210, 2211, 2238, 2252, 2253, 2277,
                       2294, 2313, 2318, 2339, 2340, 2370, 2371, 2380, 2426, 2433, 2435, 2440, 2460, 2461, 2465, 2471,
                       2473, 2492, 2500, 2511, 2516, 2570, 2599, 2609, 2623, 2626, 2632, 2639, 2648, 2657, 2659, 2660,
                       2669, 2674, 2675, 2679, 2680, 2705, 2718, 2734, 2743, 2747, 2748, 2749, 2775, 2778, 2787, 2803,
                       2813, 2828, 2848, 2870, 2904, 2911, 2936, 2938, 2940, 2948, 2954, 2981, 2985, 2998, 3001, 3036,
                       3045, 3061, 3066, 3070, 3087, 3109, 3112, 3128, 3131, 3136, 3161, 3166, 3183, 3226, 3265, 3266,
                       3269, 3271, 3293, 3311, 3314, 3349, 3351, 3367, 3384, 3391, 3411, 3414, 3446, 3454, 3462, 3480,
                       3495, 3499, 3500, 3501, 3517, 3525, 3556, 3622, 3624, 3628, 3638, 3640, 3670, 3761, 3762, 3775,
                       3807, 3814, 3862, 3872, 3875, 3878, 3899, 3921, 3924, 3928, 3930, 3958, 3965, 3975, 3976, 3978,
                       3989, 3995, 4000, 4002, 4008, 4037, 4043, 4044, 4045, 4087, 4092, 4097, 4104, 4105, 4111, 4114,
                       4116, 4117, 4119, 4125, 4153, 4154, 4155, 4160, 4168, 4171, 4176, 4210, 4218, 4241, 4252, 4255,
                       4283, 4288, 4322, 4323, 4334, 4370, 4383, 4453, 4463, 4465, 4473, 4475, 4478, 4488, 4494, 4504,
                       4516, 4522, 4528, 4543, 4559, 4563, 4568, 4576, 4578, 4598, 4608, 4616, 4639, 4657, 4673, 4683,
                       4687, 4688, 4697, 4703, 4704, 4708, 4720, 4728, 4754, 4779, 4787, 4791, 4804, 4822, 4841, 4869,
                       4893, 4894, 4909, 4910, 4914, 4915, 4918, 4931, 4941, 4951, 4980, 4997, 5005, 5006, 5009, 5017,
                       5041, 5047, 5055, 5056, 5063, 5080, 5088, 5096, 5099, 5103, 5127, 5131, 5161, 5189, 5193, 5203,
                       5221, 5238, 5240, 5244, 5245, 5250, 5251, 5268, 5280, 5311, 5315, 5354, 5390, 5406, 5410, 5420,
                       5432, 5438, 5446, 5455, 5485, 5488, 5489, 5493, 5498, 5592, 5601, 5605, 5615, 5627, 5633, 5636,
                       5639, 5642, 5645, 5656, 5659, 5710, 5743, 5754, 5756, 5774, 5794, 5801, 5826, 5837, 5848, 5857,
                       5943, 5964, 5994, 6004, 6025, 6057, 6088, 6101, 6127, 6133, 6142, 6147, 6149, 6160, 6167, 6171,
                       6172, 6185, 6194, 6197, 6204, 6241, 6243, 6275, 6325, 6328, 6346, 6363, 6392, 6410, 6412, 6439,
                       6448, 6450, 6469, 6479, 6487, 6491, 6511, 6529, 6550, 6557, 6572, 6577, 6603, 6610, 6614, 6616,
                       6617, 6626, 6648, 6655, 6657, 6675, 6738, 6754, 6773, 6779, 6780, 6796, 6797, 6824, 6845, 6848,
                       6853, 6867, 6869, 6878, 6898, 6917, 6942, 6943, 6957, 7000, 7003, 7004, 7016, 7030, 7067, 7075,
                       7080, 7088, 7089, 7093, 7094, 7113, 7122, 7123, 7137, 7172, 7184, 7185], 1897: [5078],
                1898: [1901, 1908, 1911, 1918, 1919, 1927, 1946, 1948, 1964, 1965, 1985, 1987, 2005, 2020, 2024, 2036,
                       2044, 2058, 2076, 2080, 2089, 2092, 2094, 2100, 2124, 2125, 2140, 2141, 2150, 2152, 2158, 2169,
                       2172, 2178, 2181, 2188, 2190, 2212, 2234, 2238, 2251, 2262, 2268, 2272, 2273, 2274, 2276, 2280,
                       2286, 2302, 2307, 2319, 2329, 2338, 2339, 2342, 2350, 2351, 2355, 2362, 2369, 2370, 2376, 2378,
                       2412, 2416, 2418, 2434, 2448, 2451, 2453, 2455, 2457, 2463, 2472, 2473, 2481, 2486, 2491, 2492,
                       2494, 2500, 2504, 2510, 2511, 2526, 2540, 2541, 2544, 2553, 2557, 2582, 2600, 2602, 2611, 2623,
                       2625, 2639, 2641, 2643, 2649, 2650, 2658, 2659, 2673, 2680, 2683, 2686, 2695, 2700, 2702, 2707,
                       2729, 2738, 2743, 2747, 2762, 2778, 2783, 2789, 2792, 2794, 2797, 2800, 2808, 2813, 2818, 2847,
                       2852, 2858, 2861, 2871, 2872, 2876, 2886, 2899, 2900, 2901, 2903, 2912, 2919, 2927, 2930, 2934,
                       2936, 2939, 2942, 2947, 2956, 2961, 2962, 2975, 3003, 3005, 3006, 3023, 3026, 3027, 3039, 3041,
                       3066, 3087, 3090, 3098, 3102, 3103, 3107, 3108, 3109, 3112, 3119, 3124, 3131, 3132, 3136, 3137,
                       3152, 3157, 3159, 3164, 3168, 3174, 3175, 3179, 3180, 3198, 3199, 3209, 3210, 3217, 3220, 3230,
                       3237, 3247, 3264, 3267, 3269, 3278, 3280, 3287, 3293, 3309, 3310, 3311, 3313, 3315, 3317, 3323,
                       3324, 3339, 3342, 3347, 3354, 3358, 3384, 3395, 3398, 3399, 3409, 3413, 3424, 3434, 3435, 3440,
                       3446, 3449, 3452, 3454, 3456, 3458, 3461, 3466, 3467, 3477, 3478, 3481, 3485, 3488, 3493, 3494,
                       3500, 3504, 3505, 3506, 3515, 3518, 3519, 3521, 3526, 3531, 3534, 3548, 3549, 3550, 3560, 3570,
                       3572, 3587, 3593, 3595, 3608, 3618, 3626, 3628, 3629, 3635, 3636, 3640, 3645, 3647, 3650, 3671,
                       3675, 3684, 3687, 3688, 3691, 3694, 3700, 3732, 3740, 3741, 3761, 3773, 3779, 3780, 3797, 3798,
                       3804, 3805, 3808, 3846, 3852, 3867, 3872, 3873, 3879, 3898, 3904, 3912, 3922, 3924, 3928, 3929,
                       3946, 3947, 3951, 3952, 3956, 3965, 3978, 3980, 3995, 4000, 4002, 4003, 4004, 4036, 4053, 4072,
                       4074, 4075, 4081, 4082, 4086, 4089, 4097, 4111, 4153, 4157, 4161, 4163, 4167, 4168, 4172, 4189,
                       4190, 4195, 4218, 4222, 4227, 4241, 4258, 4265, 4271, 4278, 4280, 4288, 4298, 4304, 4312, 4333,
                       4338, 4355, 4364, 4369, 4383, 4453, 4496, 4537, 4539, 4546, 4553, 4560, 4573, 4576, 4582, 4585,
                       4594, 4608, 4616, 4619, 4640, 4666, 4673, 4676, 4677, 4680, 4708, 4711, 4719, 4724, 4728, 4752,
                       4759, 4766, 4771, 4773, 4789, 4795, 4804, 4838, 4841, 4857, 4859, 4870, 4880, 4889, 4909, 4918,
                       4932, 4943, 4951, 4952, 4957, 4967, 4980, 4982, 4993, 5009, 5020, 5022, 5023, 5032, 5040, 5048,
                       5060, 5062, 5064, 5088, 5089, 5095, 5098, 5101, 5104, 5126, 5128, 5130, 5139, 5140, 5143, 5148,
                       5170, 5177, 5187, 5190, 5209, 5213, 5221, 5229, 5232, 5234, 5251, 5259, 5261, 5272, 5279, 5282,
                       5283, 5285, 5293, 5311, 5314, 5329, 5344, 5347, 5354, 5370, 5371, 5383, 5392, 5395, 5413, 5432,
                       5438, 5440, 5449, 5454, 5455, 5466, 5468, 5475, 5483, 5485, 5486, 5488, 5493, 5494, 5495, 5498,
                       5521, 5525, 5531, 5536, 5537, 5538, 5540, 5554, 5568, 5572, 5592, 5609, 5620, 5624, 5632, 5633,
                       5653, 5655, 5656, 5659, 5667, 5678, 5681, 5698, 5706, 5714, 5727, 5728, 5732, 5734, 5735, 5741,
                       5754, 5770, 5773, 5774, 5775, 5780, 5781, 5788, 5791, 5792, 5800, 5804, 5817, 5820, 5827, 5831,
                       5832, 5839, 5856, 5858, 5871, 5879, 5882, 5887, 5890, 5892, 5897, 5899, 5900, 5901, 5904, 5911,
                       5912, 5913, 5923, 5930, 5938, 5947, 5954, 5955, 5956, 5961, 5966, 5978, 6004, 6014, 6015, 6017,
                       6025, 6027, 6034, 6037, 6039, 6071, 6076, 6077, 6086, 6124, 6127, 6132, 6136, 6143, 6146, 6165,
                       6171, 6194, 6197, 6222, 6229, 6236, 6242, 6247, 6252, 6257, 6266, 6268, 6269, 6298, 6299, 6302,
                       6308, 6313, 6315, 6317, 6322, 6337, 6339, 6340, 6346, 6354, 6356, 6360, 6383, 6385, 6388, 6407,
                       6415, 6423, 6427, 6434, 6442, 6447, 6449, 6452, 6455, 6457, 6476, 6482, 6485, 6490, 6491, 6493,
                       6496, 6504, 6507, 6517, 6562, 6566, 6572, 6578, 6589, 6601, 6603, 6605, 6611, 6617, 6618, 6622,
                       6626, 6654, 6657, 6663, 6666, 6671, 6675, 6684, 6687, 6696, 6702, 6711, 6724, 6725, 6730, 6733,
                       6738, 6743, 6752, 6754, 6757, 6772, 6776, 6781, 6788, 6791, 6796, 6798, 6799, 6804, 6805, 6807,
                       6811, 6812, 6816, 6821, 6822, 6833, 6841, 6845, 6846, 6850, 6851, 6853, 6857, 6864, 6870, 6877,
                       6905, 6907, 6910, 6915, 6916, 6919, 6921, 6941, 6942, 6945, 6948, 6955, 6961, 6972, 6977, 6983,
                       6991, 6992, 6997, 7003, 7028, 7029, 7035, 7049, 7055, 7064, 7067, 7071, 7074, 7079, 7083, 7086,
                       7088, 7093, 7094, 7104, 7107, 7110, 7111, 7112, 7137, 7142, 7158, 7160, 7162, 7164, 7166, 7172,
                       7192, 7199],
                1903: [1911, 1919, 2005, 2044, 2076, 2089, 2092, 2094, 2100, 2104, 2125, 2140, 2152, 2158, 2167, 2181,
                       2234, 2238, 2251, 2262, 2273, 2274, 2276, 2280, 2294, 2319, 2333, 2338, 2342, 2350, 2351, 2367,
                       2371, 2376, 2391, 2401, 2408, 2416, 2448, 2451, 2454, 2482, 2486, 2491, 2493, 2498, 2500, 2520,
                       2526, 2529, 2537, 2544, 2553, 2563, 2573, 2579, 2623, 2639, 2643, 2657, 2659, 2673, 2680, 2683,
                       2686, 2734, 2747, 2762, 2769, 2783, 2799, 2800, 2813, 2847, 2848, 2861, 2871, 2893, 2899, 2912,
                       2927, 2936, 2939, 2949, 2958, 3002, 3003, 3005, 3006, 3015, 3021, 3023, 3024, 3031, 3066, 3084,
                       3087, 3098, 3108, 3109, 3112, 3119, 3124, 3128, 3131, 3133, 3138, 3152, 3168, 3179, 3199, 3200,
                       3209, 3210, 3217, 3220, 3247, 3267, 3287, 3317, 3323, 3347, 3384, 3398, 3399, 3414, 3426, 3435,
                       3440, 3449, 3454, 3456, 3458, 3477, 3478, 3481, 3485, 3495, 3497, 3517, 3526, 3534, 3550, 3600,
                       3608, 3618, 3635, 3645, 3650, 3668, 3671, 3676, 3715, 3760, 3798, 3852, 3857, 3873, 3875, 3898,
                       3912, 3913, 3922, 3929, 3946, 3958, 3989, 3993, 3996, 4002, 4046, 4072, 4074, 4082, 4084, 4089,
                       4097, 4105, 4111, 4116, 4119, 4154, 4156, 4167, 4168, 4171, 4192, 4195, 4211, 4218, 4271, 4280,
                       4309, 4312, 4346, 4355, 4364, 4370, 4383, 4451, 4453, 4494, 4501, 4539, 4558, 4573, 4576, 4582,
                       4608, 4616, 4640, 4652, 4675, 4676, 4708, 4724, 4728, 4738, 4752, 4771, 4783, 4789, 4800, 4804,
                       4822, 4850, 4857, 4859, 4862, 4869, 4880, 4894, 4898, 4909, 4932, 4943, 4951, 4980, 5016, 5020,
                       5022, 5033, 5040, 5041, 5056, 5060, 5088, 5098, 5111, 5130, 5148, 5170, 5187, 5197, 5209, 5224,
                       5232, 5234, 5259, 5279, 5282, 5287, 5311, 5314, 5320, 5329, 5371, 5383, 5392, 5406, 5409, 5438,
                       5454, 5456, 5468, 5475, 5483, 5488, 5495, 5498, 5525, 5536, 5538, 5540, 5554, 5582, 5592, 5596,
                       5620, 5627, 5655, 5656, 5714, 5724, 5727, 5736, 5754, 5770, 5773, 5774, 5792, 5808, 5840, 5871,
                       5882, 5886, 5897, 5899, 5901, 5904, 5908, 5912, 5913, 5923, 5954, 5956, 5961, 5966, 5976, 5982,
                       5999, 6004, 6008, 6014, 6017, 6025, 6038, 6039, 6051, 6077, 6094, 6120, 6124, 6126, 6127, 6129,
                       6139, 6143, 6165, 6172, 6197, 6199, 6207, 6213, 6229, 6236, 6269, 6279, 6300, 6327, 6336, 6339,
                       6356, 6360, 6363, 6382, 6385, 6407, 6418, 6429, 6440, 6447, 6452, 6455, 6476, 6482, 6490, 6493,
                       6496, 6503, 6504, 6511, 6537, 6557, 6562, 6578, 6642, 6654, 6657, 6662, 6664, 6666, 6667, 6675,
                       6687, 6689, 6702, 6711, 6738, 6752, 6754, 6757, 6781, 6791, 6799, 6802, 6805, 6807, 6816, 6821,
                       6832, 6841, 6845, 6864, 6876, 6905, 6907, 6915, 6920, 6923, 6935, 6942, 6945, 6953, 6972, 7000,
                       7003, 7049, 7074, 7083, 7093, 7094, 7110, 7111, 7112, 7113, 7114, 7154, 7160, 7166, 7171, 7192,
                       7196, 7198, 7199], 6001: [6127, 6346, 6383, 6572, 6923, 6957, 7099],
                6003: [6037, 6127, 6143, 6171, 6194, 6293, 6346, 6360, 6611, 6654, 6684, 6702, 6754, 6853, 6905, 6907,
                       6915, 6923, 6942, 7003, 7093, 7094, 7160], 1911: [4789], 1913: [6293],
                6013: [6657, 6738, 6841, 7049, 7094], 1920: [4119, 4608, 5754], 6019: [6325, 6603, 6657],
                1926: [2274, 2302, 5540, 5678, 5882, 6127, 6346, 6796, 7094],
                1928: [2659, 2683, 2813, 3454, 3640, 3777, 4218, 4288, 4364, 4608, 4616, 5734, 5754, 5770, 6360, 6657,
                       7192, 7198], 1929: [2145, 2236, 2361, 5078, 5091], 6028: [6143, 6511, 6657, 6754, 6876],
                6029: [6172, 6905, 7093, 7172], 6030: [7137], 6033: [6824, 6985, 7172],
                1938: [2333, 3384, 5314, 6236, 6247, 6642], 1941: [3066], 1689: [4097, 4576, 5498, 6905, 7093],
                1944: [4195, 6360],
                4420: [4432, 4437, 4451, 4453, 4462, 4463, 4473, 4475, 4484, 4494, 4498, 4501, 4513, 4516, 4537, 4539,
                       4545, 4546, 4553, 4560, 4561, 4568, 4572, 4573, 4574, 4576, 4582, 4583, 4584, 4585, 4595, 4608,
                       4640, 4644, 4652, 4657, 4670, 4672, 4673, 4676, 4680, 4687, 4688, 4690, 4697, 4704, 4708, 4711,
                       4713, 4724, 4728, 4738, 4752, 4763, 4768, 4771, 4779, 4783, 4787, 4788, 4789, 4791, 4795, 4798,
                       4804, 4815, 4822, 4841, 4845, 4857, 4859, 4869, 4894, 4898, 4909, 4910, 4917, 4918, 4926, 4927,
                       4932, 4936, 4939, 4941, 4942, 4951, 4952, 4956, 4957, 4969, 4980, 4984, 4993, 4997, 5001, 5005,
                       5009, 5016, 5022, 5031, 5040, 5041, 5055, 5056, 5063, 5064, 5069, 5088, 5098, 5100, 5104, 5111,
                       5121, 5127, 5130, 5131, 5133, 5139, 5140, 5143, 5148, 5170, 5177, 5182, 5187, 5197, 5203, 5221,
                       5223, 5224, 5226, 5229, 5232, 5234, 5243, 5244, 5248, 5251, 5260, 5261, 5269, 5279, 5282, 5285,
                       5286, 5297, 5311, 5314, 5315, 5320, 5324, 5328, 5329, 5332, 5334, 5341, 5344, 5347, 5354, 5371,
                       5372, 5383, 5391, 5398, 5405, 5409, 5418, 5429, 5432, 5438, 5456, 5466, 5468, 5475, 5483, 5485,
                       5488, 5489, 5493, 5495, 5498, 5499, 5503, 5512, 5525, 5534, 5538, 5540, 5541, 5568, 5572, 5582,
                       5584, 5592, 5596, 5615, 5624, 5627, 5631, 5633, 5636, 5639, 5640, 5641, 5645, 5653, 5655, 5656,
                       5657, 5659, 5667, 5676, 5678, 5691, 5695, 5697, 5698, 5701, 5703, 5711, 5714, 5727, 5728, 5732,
                       5743, 5754, 5756, 5761, 5770, 5773, 5774, 5775, 5788, 5791, 5792, 5794, 5801, 5826, 5827, 5831,
                       5840, 5857, 5863, 5864, 5871, 5879, 5887, 5889, 5892, 5897, 5901, 5903, 5904, 5908, 5911, 5913,
                       5919, 5931, 5937, 5938, 5945, 5950, 5954, 5955, 5966, 5979, 5982, 5992, 5999, 6025, 6027, 6030,
                       6036, 6038, 6039, 6040, 6044, 6050, 6057, 6059, 6071, 6077, 6081, 6086, 6099, 6101, 6108, 6121,
                       6124, 6125, 6127, 6129, 6137, 6143, 6146, 6159, 6165, 6169, 6171, 6172, 6181, 6185, 6194, 6197,
                       6199, 6209, 6211, 6212, 6229, 6234, 6236, 6237, 6242, 6252, 6257, 6261, 6266, 6268, 6269, 6273,
                       6298, 6299, 6300, 6302, 6303, 6317, 6322, 6323, 6325, 6327, 6339, 6346, 6353, 6358, 6360, 6364,
                       6376, 6383, 6385, 6388, 6392, 6410, 6414, 6422, 6424, 6434, 6439, 6440, 6443, 6452, 6455, 6469,
                       6476, 6482, 6487, 6490, 6491, 6493, 6511, 6512, 6521, 6523, 6537, 6557, 6562, 6577, 6597, 6603,
                       6614, 6616, 6622, 6624, 6654, 6657, 6675, 6679, 6684, 6697, 6706, 6709, 6715, 6733, 6738, 6754,
                       6757, 6762, 6772, 6780, 6788, 6796, 6799, 6805, 6807, 6824, 6825, 6831, 6832, 6838, 6839, 6845,
                       6848, 6849, 6851, 6852, 6853, 6857, 6864, 6867, 6869, 6870, 6875, 6876, 6877, 6879, 6881, 6887,
                       6898, 6905, 6910, 6915, 6921, 6929, 6932, 6935, 6941, 6942, 6943, 6945, 6953, 6967, 6983, 6990,
                       6991, 6992, 6997, 7003, 7004, 7036, 7049, 7059, 7063, 7067, 7070, 7079, 7080, 7083, 7086, 7088,
                       7092, 7093, 7094, 7104, 7109, 7110, 7111, 7113, 7117, 7120, 7137, 7154, 7160, 7162, 7166, 7168,
                       7171, 7172, 7184, 7185, 7192, 7198], 1946: [5314, 6455], 5103: [5754, 7093],
                6045: [6071, 6077, 6086, 6101, 6124, 6127, 6132, 6136, 6143, 6146, 6169, 6171, 6185, 6194, 6229, 6236,
                       6237, 6242, 6252, 6257, 6261, 6268, 6269, 6303, 6325, 6339, 6346, 6358, 6360, 6363, 6373, 6382,
                       6383, 6403, 6410, 6452, 6455, 6469, 6489, 6490, 6491, 6493, 6511, 6523, 6557, 6562, 6572, 6578,
                       6603, 6616, 6617, 6654, 6657, 6666, 6667, 6671, 6675, 6679, 6684, 6687, 6702, 6711, 6724, 6733,
                       6738, 6743, 6750, 6752, 6754, 6757, 6762, 6771, 6772, 6779, 6781, 6788, 6791, 6796, 6799, 6805,
                       6807, 6832, 6845, 6851, 6853, 6864, 6876, 6905, 6907, 6915, 6916, 6921, 6923, 6935, 6941, 6942,
                       6945, 6948, 6955, 6957, 6967, 6991, 6997, 7000, 7003, 7049, 7067, 7079, 7083, 7086, 7088, 7093,
                       7094, 7097, 7099, 7104, 7105, 7111, 7137, 7142, 7158, 7160, 7166, 7171, 7172, 7185, 7188, 7192,
                       7199], 1951: [3179, 4163, 5468, 5498, 6346],
                1953: [2041, 2223, 2302, 2425, 2451, 2648, 3164, 3519, 3650, 4089, 4205, 4355, 4573, 4943, 5028, 5078,
                       5392, 5521, 5537, 6172, 6360, 6488, 6548, 6654, 6905, 6923, 7101, 7112], 1954: [4576],
                1955: [5344, 5537],
                6052: [6067, 6080, 6120, 6124, 6127, 6136, 6171, 6179, 6185, 6194, 6197, 6204, 6222, 6229, 6236, 6241,
                       6242, 6243, 6266, 6303, 6310, 6322, 6339, 6345, 6360, 6363, 6401, 6407, 6410, 6415, 6443, 6448,
                       6450, 6455, 6468, 6476, 6493, 6504, 6511, 6551, 6557, 6616, 6617, 6626, 6653, 6657, 6663, 6667,
                       6671, 6675, 6687, 6724, 6738, 6743, 6752, 6754, 6755, 6779, 6796, 6805, 6819, 6821, 6824, 6832,
                       6845, 6853, 6863, 6877, 6878, 6917, 6921, 6953, 7000, 7003, 7023, 7035, 7037, 7067, 7079, 7083,
                       7088, 7093, 7094, 7111, 7137, 7166, 7175, 7192, 7198],
                1958: [2238, 2934, 3109, 3210, 3454, 4097, 4163, 4218, 4608, 4789, 5063, 5311, 5456, 5659, 6143, 6905,
                       7137, 7172], 6055: [6247, 6415, 7003, 7171], 6056: [6127, 6648, 6905, 6907, 7093, 7137, 7172],
                1961: [5754, 6657], 1962: [2847, 3066, 4789, 5801, 5961, 6325, 7004, 7088], 4423: [5297, 6757, 6935],
                6060: [6236, 6319, 6343, 6488, 6672, 6774, 6812, 6886, 6924, 7101, 7199],
                6061: [6097, 6139, 6269, 6272, 6275, 6279, 6317, 6323, 6325, 6339, 6360, 6362, 6363, 6376, 6482, 6490,
                       6520, 6557, 6603, 6657, 6673, 6689, 6737, 6773, 6779, 6788, 6814, 6819, 6821, 6831, 6898, 6935,
                       6938, 6983, 6990, 7024, 7037, 7080, 7099, 7113, 7114, 7122, 7179, 7192], 6062: [6563, 7172],
                1971: [3384, 3454, 4218, 6127, 6194], 1973: [2141, 2453, 2457, 4608, 4789, 5282, 6143, 7003],
                1974: [2194, 4283], 1977: [2677, 7103],
                1978: [2076, 2302, 2319, 2376, 2453, 2472, 2500, 2544, 2659, 2686, 3026, 3210, 3349, 3384, 4195, 4573,
                       4943, 5371, 5498, 5592, 5754, 5887, 5938, 6127, 6171, 6346, 6738, 6754, 6905, 7003, 7074],
                6076: [6907], 6080: [6171], 1986: [2600, 5456], 6083: [6455, 6490, 6491, 6657, 6754, 6757, 6935, 7192],
                5110: [5171, 5229, 5282, 5498, 5525, 5549, 5572, 5659, 5773, 5792, 5961, 6143, 6236, 6252, 6313, 6325,
                       6617, 6754, 6845, 6935, 7064], 1990: [5754],
                1993: [2194, 2457, 2626, 2954, 3066, 3209, 4554, 4622, 4759, 4918, 5659, 5961, 6103, 6185, 6684, 6756,
                       6780, 7004, 7172], 1994: [2141, 3066, 4789, 5754, 6360, 6942],
                6091: [6197, 6657, 6814, 6824, 6983, 7185, 7192],
                6092: [6143, 6169, 6171, 6185, 6236, 6266, 6360, 6383, 6424, 6490, 6557, 6657, 6675, 6733, 6754, 6771,
                       6796, 6926, 6935, 6942, 7003, 7093, 7171, 7172, 7192, 7199], 6095: [7172],
                6097: [6363, 6511, 6657, 7080],
                6098: [6124, 6143, 6172, 6236, 6247, 6257, 6292, 6308, 6339, 6360, 6382, 6452, 6562, 6566, 6654, 6662,
                       6666, 6675, 6684, 6743, 6807, 6816, 6821, 6853, 6905, 6907, 6923, 6979, 6991, 7003, 7049, 7083,
                       7088, 7110, 7111, 7171, 7188, 7192, 7199], 2004: [2500], 2006: [5754], 2007: [6470],
                6110: [6557, 7093], 2015: [7101], 2016: [4918, 6360],
                2017: [2141, 2376, 2789, 3066, 3144, 3210, 3398, 3924, 4153, 4163, 4218, 4369, 4595, 4789, 4918, 5177,
                       5354, 5432, 5540, 5756, 6127, 6942, 7004, 7172], 2018: [4574, 4918, 6488],
                6115: [6124, 6126, 6136, 6302, 6315, 6339, 6360, 6424, 6447, 6448, 6460, 6490, 6496, 6515, 6537, 6557,
                       6566, 6578, 6580, 6589, 6642, 6666, 6672, 6684, 6685, 6698, 6740, 6752, 6791, 6799, 6804, 6816,
                       6841, 6864, 6907, 6921, 6929, 6942, 6979, 7003, 7006, 7036, 7049, 7055, 7093, 7107, 7111, 7113,
                       7162, 7171], 6116: [6511, 7093], 2021: [2158, 2319, 3280, 5592, 5698, 6172, 7172],
                2026: [2044, 2076, 2089, 2094, 2141, 2158, 2234, 2274, 2294, 2334, 2350, 2440, 2457, 2473, 2500, 2504,
                       2537, 2544, 2626, 2680, 2743, 2847, 2848, 2886, 3066, 3112, 3349, 3384, 3450, 3454, 3500, 3640,
                       3775, 3895, 3924, 3930, 3946, 4000, 4037, 4054, 4074, 4097, 4105, 4111, 4153, 4364, 4383, 4453,
                       4494, 4516, 4576, 4582, 4608, 4673, 4676, 4728, 4771, 4789, 4822, 4869, 4909, 4997, 5041, 5088,
                       5130, 5252, 5282, 5311, 5329, 5438, 5450, 5488, 5489, 5493, 5498, 5627, 5653, 5656, 5659, 5754,
                       5774, 5801, 5810, 5826, 5904, 5961, 6127, 6171, 6185, 6194, 6310, 6325, 6346, 6360, 6363, 6407,
                       6410, 6490, 6557, 6603, 6657, 6738, 6754, 6796, 6824, 6853, 6867, 6905, 6921, 6942, 7004, 7086,
                       7093, 7094, 7099, 7137, 7160, 7172],
                6123: [6197, 6229, 6273, 6317, 6603, 6657, 6815, 6824, 7079, 7086, 7094, 7137, 7192, 7198],
                2028: [6923],
                2033: [2302, 2329, 2351, 2451, 2453, 2686, 2695, 2753, 2792, 2962, 3010, 3399, 3477, 3671, 4355, 4440,
                       4573, 4640, 4666, 4826, 5078, 5190, 5201, 5392, 5468, 5521, 5537, 5624, 5655, 5858, 5899, 5908,
                       6293, 6509, 6548, 6725, 6826, 6907, 7045], 2035: [2813], 6132: [6360],
                2038: [2043, 2044, 2045, 2076, 2080, 2141, 2161, 2279, 2302, 2319, 2325, 2335, 2350, 2370, 2376, 2406,
                       2412, 2440, 2453, 2460, 2472, 2481, 2500, 2511, 2544, 2570, 2591, 2649, 2659, 2684, 2720, 2736,
                       2748, 2847, 2857, 2888, 2906, 2936, 2939, 2942, 2977, 2987, 3007, 3026, 3066, 3102, 3112, 3136,
                       3155, 3179, 3209, 3210, 3230, 3269, 3293, 3311, 3349, 3367, 3384, 3398, 3446, 3454, 3539, 3544,
                       3609, 3614, 3638, 3650, 3692, 3779, 3796, 3799, 3801, 3809, 3843, 3867, 3922, 3924, 3930, 3931,
                       3946, 3951, 3978, 4019, 4100, 4113, 4137, 4153, 4163, 4199, 4222, 4264, 4271, 4288, 4312, 4314,
                       4328, 4338, 4369, 4387, 4432, 4546, 4573, 4576, 4585, 4595, 4672, 4703, 4711, 4724, 4759, 4792,
                       4826, 4834, 4841, 4849, 4857, 4910, 4918, 4943, 4969, 4980, 5001, 5022, 5088, 5102, 5128, 5139,
                       5162, 5190, 5213, 5218, 5232, 5311, 5344, 5354, 5432, 5455, 5475, 5489, 5498, 5503, 5531, 5540,
                       5545, 5585, 5588, 5592, 5627, 5633, 5667, 5698, 5710, 5756, 5763, 5780, 5781, 5788, 5800, 5801,
                       5840, 5855, 5871, 5879, 5887, 5897, 5913, 5938, 5961, 6021, 6037, 6039, 6057, 6101, 6127, 6143,
                       6146, 6171, 6172, 6185, 6194, 6197, 6293, 6303, 6345, 6346, 6373, 6375, 6410, 6450, 6469, 6480,
                       6511, 6562, 6572, 6581, 6596, 6601, 6611, 6614, 6616, 6617, 6654, 6663, 6667, 6724, 6738, 6743,
                       6754, 6755, 6796, 6845, 6851, 6853, 6877, 6942, 6948, 6955, 6957, 6997, 7003, 7040, 7064, 7079,
                       7093, 7094, 7142, 7172], 6138: [6236, 6373, 6496, 6687],
                2046: [2297, 2373, 2453, 2500, 2591, 2630, 2703, 2789, 2857, 3164, 3453, 3493, 3609, 3614, 3699, 3765,
                       3824, 3980, 3983, 4019, 4163, 4365, 4573, 4826, 4918, 5190, 5254, 5781, 6171, 6408, 6488, 6656,
                       6907, 7002, 7101, 7103, 7121], 2047: [2351], 2048: [2626], 2049: [3061], 4438: [5078],
                2054: [2659, 2847, 3066, 3852, 3928, 4195, 4951, 5754, 5897, 5961, 6143, 6360, 7003, 7093],
                2055: [2440, 2680, 2847, 2920, 3066, 3209, 3210, 3349, 3374, 3638, 3801, 3903, 3924, 3978, 3983, 4097,
                       4113, 4153, 4163, 4199, 4262, 4574, 4595, 4622, 4687, 4759, 4789, 4822, 4894, 4910, 4957, 4980,
                       5354, 5475, 5485, 5592, 5659, 6127, 6146, 6185, 6407, 6430, 6491, 6577, 6738, 6755, 6796, 6853,
                       6942, 7004, 7067, 7086], 2057: [2149, 2626, 2749, 5096, 5756, 5857],
                2061: [2167, 2294, 2333, 2334, 2338, 2371, 2376, 2459, 2572, 2686, 2734, 2813, 3087, 3314, 3495, 3671,
                       3773, 3852, 3904, 3946, 4074, 4167, 4218, 4676, 4909, 5438, 5440, 5488, 5498, 5659, 5754, 5792,
                       5904, 5907, 5964, 6236, 6339, 6360, 6363, 6942],
                2063: [2089, 2094, 2141, 2158, 2238, 2350, 2459, 2473, 2657, 2680, 2747, 2783, 2847, 2867, 2998, 3066,
                       3109, 3112, 3131, 3210, 3230, 3315, 3349, 3351, 3384, 3454, 3517, 3577, 3640, 3775, 3852, 3904,
                       3928, 3951, 4000, 4002, 4097, 4105, 4119, 4153, 4218, 4288, 4364, 4383, 4494, 4546, 4576, 4608,
                       4690, 4708, 4951, 5041, 5063, 5130, 5311, 5347, 5438, 5475, 5489, 5498, 5592, 5659, 5741, 5743,
                       5754, 5773, 5775, 5801, 5857, 5882, 5954, 5961, 6038, 6039, 6071, 6127, 6143, 6185, 6197, 6261,
                       6325, 6339, 6346, 6511, 6562, 6603, 6648, 6657, 6754, 6788, 6796, 6824, 6845, 6851, 6853, 6905,
                       6942, 7004, 7049, 7067, 7079, 7086, 7089, 7093, 7094, 7099, 7113, 7172, 7192, 7198],
                2064: [2158, 2234, 2251, 2274, 2338, 2350, 2376, 2500, 2549, 2747, 2769, 2772, 2778, 2847, 2871, 2899,
                       2900, 3258, 3317, 3440, 3852, 3879, 4111, 4271, 4288, 4304, 4364, 4676, 4857, 4943, 5130, 5139,
                       5320, 5459, 5468, 5498, 5504, 5525, 5540, 5541, 5754, 5882, 5901, 5904, 6236, 6300, 6317, 6422,
                       6684, 6839, 6841, 7049, 7113, 7154, 7179, 7192],
                2065: [2274, 2350, 2374, 2599, 2747, 2899, 3036, 3066, 3292, 3411, 3622, 3640, 3775, 3852, 4218, 4254,
                       4371, 4498, 4673, 4869, 5098, 5250, 5456, 5582, 5609, 5627, 5698, 5723, 5754, 5792, 5857, 5961,
                       6303, 6743, 7004, 7049, 7123, 7198],
                2066: [2181, 2302, 2376, 2425, 2451, 2648, 2686, 2835, 2858, 3180, 3494, 3550, 3650, 3929, 3982, 4089,
                       4312, 4573, 5048, 5078, 5190, 5392, 5466, 5537, 5633, 5655, 5743, 5912, 5961, 6172, 6488, 6572,
                       6654, 6812, 6948, 7112],
                2068: [2680, 3572, 3595, 3903, 4218, 4550, 4909, 4932, 5371, 5727, 6143],
                6166: [6383, 6430, 6755, 7142],
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                2077: [2778, 3036, 3454, 4218, 5329, 6127], 6175: [6211, 6384, 6675, 7099, 7172], 2080: [5961],
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                2090: [2141, 2748, 2934, 3062, 3131, 3136, 3264, 3518, 3778, 3931, 4417, 4910, 4918, 5063, 5261, 5294,
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                2107: [2302, 4573], 6205: [6656], 2111: [4195], 6209: [6905], 6210: [6657, 7083, 7093, 7111, 7192],
                2116: [3640, 4434, 4550, 6603, 6814, 7004],
                2119: [2124, 2262, 2350, 2491, 2762, 2783, 2813, 2847, 2871, 2930, 2936, 3087, 3112, 3179, 3210, 3267,
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                       5130, 5279, 5282, 5329, 5344, 5413, 5456, 5468, 5525, 5540, 5754, 5773, 5792, 5831, 5897, 5961,
                       6139, 6143, 6236, 6360, 6921, 6935, 7160, 7171], 2125: [5314, 5468],
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                6224: [6267, 6300, 6313, 6317, 6360, 6415, 6562, 6671, 6672, 6687, 6724, 6833, 6907, 6923, 6983, 7049,
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                6225: [6292, 6317, 6319, 6336, 6343, 6346, 6360, 6429, 6466, 6488, 6509, 6548, 6657, 6680, 6684, 6807,
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                2134: [2313, 2340, 2599, 2626, 2749, 2981, 3226, 3266, 3450, 3462, 3640, 4087, 4252, 4657, 5390, 5642,
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                2136: [2451, 2753, 2792, 3650, 4083, 4199, 4573, 4595, 4826, 5537, 5804, 6470, 6509, 6548, 6905, 6907,
                       7002, 7160], 6233: [6572, 6776, 7192], 6235: [6563],
                2142: [3066, 4545, 4576, 4789, 5311, 5347, 6236, 6657], 6242: [6905], 2147: [3347, 4312],
                2150: [4195, 5792, 6935], 5137: [5314],
                2154: [2158, 2238, 2253, 2302, 2376, 2453, 2481, 2680, 2743, 2762, 2783, 2848, 2912, 2951, 2962, 2975,
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                       3852, 3946, 4072, 4097, 4111, 4195, 4271, 4370, 4546, 4573, 4576, 4687, 4708, 4759, 4771, 4789,
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                       5592, 5633, 5674, 5678, 5788, 5879, 5897, 5908, 5938, 5956, 6037, 6127, 6143, 6185, 6194, 6346,
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                       6929, 6932, 6938, 6939, 6944, 6949, 6953, 6954, 6959, 6963, 6964, 6967, 6969, 6970, 6982, 6984,
                       6985, 6988, 6999, 7004, 7008, 7011, 7013, 7016, 7017, 7018, 7022, 7023, 7033, 7036, 7043, 7046,
                       7047, 7058, 7061, 7067, 7070, 7072, 7085, 7087, 7089, 7090, 7092, 7093, 7099, 7109, 7114, 7122,
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                6262: [6293, 6300, 6325, 6339, 6346, 6354, 6358, 6360, 6407, 6412, 6490, 6611, 6617, 6657, 6684, 6702,
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                2174: [2190, 2236, 2279, 2286, 2307, 2308, 2312, 2335, 2349, 2369, 2376, 2378, 2406, 2412, 2453, 2457,
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                       3074, 3115, 3154, 3179, 3187, 3191, 3212, 3230, 3269, 3274, 3304, 3305, 3307, 3311, 3323, 3387,
                       3452, 3493, 3518, 3523, 3589, 3593, 3614, 3684, 3687, 3692, 3695, 3699, 3713, 3779, 3786, 3796,
                       3801, 3807, 3843, 3882, 3895, 3915, 3930, 3946, 3953, 3988, 4000, 4042, 4062, 4081, 4089, 4127,
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                       5433, 5438, 5450, 5475, 5485, 5489, 5534, 5540, 5545, 5609, 5621, 5631, 5633, 5639, 5656, 5667,
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                       5877, 5903, 5913, 5981, 5992, 6037, 6067, 6069, 6079, 6157, 6165, 6167, 6171, 6181, 6229, 6257,
                       6303, 6354, 6392, 6452, 6469, 6480, 6509, 6530, 6577, 6601, 6617, 6628, 6667, 6724, 6755, 6786,
                       6845, 6851, 6876, 6935, 6945, 6948, 6955, 7003, 7016, 7033, 7064, 7074, 7079, 7093, 7134, 7142,
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                2179: [2223, 2252, 2253, 2274, 2280, 2286, 2297, 2302, 2307, 2351, 2360, 2376, 2419, 2426, 2434, 2453,
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                       2694, 2703, 2736, 2753, 2769, 2778, 2789, 2847, 2849, 2875, 2890, 2899, 2900, 2906, 2919, 2942,
                       2951, 2958, 2961, 2962, 2970, 2975, 2986, 2989, 3005, 3007, 3026, 3046, 3066, 3087, 3104, 3109,
                       3120, 3132, 3133, 3159, 3160, 3166, 3169, 3175, 3179, 3184, 3191, 3209, 3210, 3230, 3267, 3310,
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                       3609, 3614, 3622, 3635, 3650, 3667, 3671, 3709, 3740, 3741, 3775, 3779, 3796, 3809, 3814, 3852,
                       3879, 3902, 3922, 3924, 3946, 3951, 3952, 3977, 3980, 3983, 3989, 4001, 4002, 4019, 4060, 4072,
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                       4227, 4239, 4256, 4271, 4288, 4296, 4313, 4314, 4355, 4366, 4369, 4387, 4417, 4422, 4439, 4444,
                       4472, 4494, 4498, 4501, 4536, 4573, 4576, 4585, 4595, 4680, 4711, 4722, 4724, 4759, 4789, 4792,
                       4841, 4849, 4880, 4894, 4910, 4914, 4918, 4927, 4932, 4943, 4969, 4980, 5022, 5062, 5064, 5088,
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                       5311, 5313, 5314, 5321, 5329, 5344, 5398, 5421, 5432, 5468, 5475, 5485, 5489, 5525, 5531, 5537,
                       5540, 5545, 5584, 5588, 5609, 5674, 5697, 5699, 5714, 5727, 5754, 5756, 5770, 5773, 5781, 5788,
                       5792, 5831, 5857, 5879, 5887, 5897, 5901, 5908, 5954, 5956, 5961, 5966, 6017, 6021, 6037, 6044,
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                       6487, 6490, 6496, 6583, 6593, 6596, 6601, 6610, 6611, 6664, 6667, 6675, 6709, 6729, 6743, 6750,
                       6752, 6772, 6779, 6799, 6808, 6845, 6851, 6864, 6870, 6905, 6915, 6916, 6921, 6928, 6935, 6942,
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                       6799, 6802, 6811, 6814, 6819, 6831, 6867, 6878, 6898, 6919, 6921, 6936, 6938, 6945, 6990, 6991,
                       7000, 7004, 7023, 7024, 7035, 7042, 7049, 7067, 7080, 7083, 7084, 7088, 7089, 7109, 7113, 7114,
                       7122, 7172, 7185, 7192, 7198, 7199],
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                2192: [4918, 5468, 7172], 6289: [6427, 6509, 6563, 6657, 6770, 6839, 6909, 7162],
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                       3348, 3370, 3406, 3468, 3481, 3507, 3514, 3529, 3674, 3777, 3781, 3894, 3928, 3929, 3961, 4075,
                       4111, 4157, 4168, 4182, 4218, 4247, 4318, 4438, 4539, 4559, 4616, 4621, 4652, 4673, 4675, 4796,
                       4804, 4972, 5078, 5179, 5209, 5281, 5287, 5362, 5440, 5468, 5476, 5483, 5525, 5616, 5647, 5669,
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                       6343, 6429, 6496, 6505, 6572, 6589, 6657, 6727, 6737, 6773, 6776, 6812, 6818, 6841, 6898, 6919,
                       6946, 6986, 6991, 6995, 7049, 7111, 7113, 7192],
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                       2813, 2914, 2938, 3066, 3087, 3131, 3200, 3247, 3317, 3373, 3462, 3529, 3640, 3777, 3929, 4117,
                       4218, 4374, 4465, 4559, 4576, 4657, 4673, 4796, 4850, 5130, 5179, 5409, 5468, 5582, 5698, 5741,
                       5743, 5754, 5760, 5848, 5882, 5904, 5912, 5930, 6172, 6197, 6360, 6657, 6818, 6919, 6986, 7049,
                       7084, 7089, 7111, 7172, 7185, 7192, 7198], 6294: [6572, 6841, 6905, 7003, 7049, 7093, 7094],
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                       5540, 5727, 6346, 6360, 6657, 6905], 2200: [6824],
                2201: [2210, 3670, 4046, 4097, 4513, 4515, 5156, 5369, 5897, 5901, 5971, 6143, 6376, 6845, 6876],
                2205: [2792, 3650, 4355, 4573, 5537], 6304: [6490, 6509, 6807, 6935, 7162], 6306: [6600],
                6893: [7101, 7103, 7142],
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                       3384, 3440, 3454, 3526, 3577, 3594, 3638, 3640, 3676, 3681, 3684, 3740, 3762, 3773, 3814, 3842,
                       3904, 3928, 3946, 4008, 4072, 4119, 4168, 4171, 4218, 4326, 4364, 4383, 4553, 4576, 4582, 4585,
                       4673, 4676, 4690, 4728, 4779, 4789, 4870, 4894, 4909, 5041, 5055, 5088, 5130, 5251, 5282, 5311,
                       5347, 5455, 5488, 5493, 5498, 5525, 5653, 5656, 5667, 5732, 5754, 5773, 5774, 5801, 5826, 5848,
                       6127, 6143, 6194, 6197, 6339, 6346, 6360, 6363, 6448, 6511, 6603, 6617, 6642, 6684, 6738, 6802,
                       6845, 6957, 7049, 7080, 7093, 7094, 7166], 6311: [6360],
                2219: [2262, 2269, 2273, 2274, 2294, 2333, 2334, 2338, 2350, 2351, 2352, 2360, 2367, 2381, 2402, 2408,
                       2419, 2431, 2433, 2434, 2453, 2465, 2481, 2500, 2510, 2519, 2523, 2529, 2537, 2549, 2562, 2569,
                       2573, 2588, 2595, 2602, 2611, 2621, 2637, 2650, 2668, 2673, 2679, 2680, 2686, 2703, 2716, 2734,
                       2743, 2762, 2778, 2780, 2783, 2788, 2789, 2836, 2847, 2860, 2867, 2871, 2899, 2919, 2933, 2940,
                       2951, 2958, 2962, 2964, 2975, 2977, 2987, 2993, 3002, 3005, 3006, 3011, 3026, 3027, 3036, 3050,
                       3066, 3070, 3090, 3098, 3109, 3110, 3113, 3119, 3168, 3177, 3179, 3191, 3209, 3210, 3217, 3230,
                       3264, 3280, 3288, 3305, 3311, 3313, 3333, 3339, 3349, 3351, 3369, 3371, 3376, 3384, 3387, 3404,
                       3424, 3429, 3430, 3435, 3436, 3440, 3445, 3446, 3454, 3458, 3477, 3478, 3480, 3485, 3518, 3522,
                       3524, 3526, 3539, 3544, 3548, 3562, 3569, 3573, 3579, 3589, 3594, 3602, 3605, 3608, 3610, 3613,
                       3635, 3670, 3671, 3676, 3684, 3695, 3707, 3711, 3715, 3747, 3762, 3773, 3842, 3852, 3862, 3863,
                       3871, 3882, 3904, 3922, 3930, 3935, 3946, 3949, 3951, 3952, 3980, 3989, 4000, 4001, 4002, 4006,
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                       6715, 6729, 6730, 6743, 6750, 6754, 6771, 6772, 6778, 6821, 6833, 6841, 6844, 6845, 6851, 6853,
                       6864, 6866, 6869, 6870, 6871, 6881, 6887, 6905, 6907, 6914, 6915, 6921, 6932, 6935, 6942, 6953,
                       6955, 6957, 6959, 6967, 6972, 6983, 6984, 6990, 7000, 7003, 7004, 7017, 7035, 7040, 7049, 7063,
                       7086, 7093, 7094, 7097, 7098, 7099, 7104, 7112, 7113, 7114, 7117, 7131, 7158, 7171, 7179, 7188,
                       7189, 7192],
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                       6955, 7049, 7093, 7123, 7142, 7172], 6322: [6363, 6490, 6511, 6562, 6845],
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                2232: [2234, 2238, 2251, 2274, 2294, 2313, 2338, 2339, 2350, 2351, 2371, 2376, 2391, 2457, 2462, 2473,
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                       5833, 5904, 5930, 5954, 5964, 5982, 6020, 6025, 6038, 6124, 6197, 6204, 6236, 6257, 6323, 6341,
                       6360, 6363, 6443, 6455, 6481, 6490, 6557, 6562, 6603, 6605, 6657, 6675, 6689, 6711, 6737, 6738,
                       6754, 6773, 6788, 6796, 6802, 6814, 6819, 6824, 6831, 6832, 6841, 6867, 6878, 6898, 6983, 6990,
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                2233: [2302, 2376, 2500, 2544, 2783, 2847, 2936, 2942, 3066, 3109, 3112, 3179, 3209, 3210, 3267, 3384,
                       3398, 3700, 3978, 4045, 4074, 4111, 4333, 4771, 4789, 5088, 5190, 5314, 5344, 5475, 5488, 5633,
                       5678, 5897, 6127, 6143, 6171, 6194, 6360, 6671, 6776, 6905, 6907, 7003],
                5834: [5904, 6236, 6383, 6802, 6819, 6935, 7088, 7192], 2241: [6657],
                2242: [2789, 2857, 4918, 5756, 6171],
                2244: [2367, 2398, 2440, 2459, 2500, 2572, 2626, 2659, 2680, 2747, 2789, 2813, 2899, 2912, 2936, 2958,
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                       4801, 4918, 4969, 5111, 5177, 5190, 5324, 5341, 5485, 5488, 5495, 5540, 5592, 5743, 5754, 5756,
                       5901, 5961, 6127, 6171, 6172, 6211, 6274, 6346, 6358, 6360, 6373, 6383, 6430, 6514, 6648, 6675,
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                2246: [2753, 2792, 3158, 3915, 4355, 5537, 5908, 6252, 6812, 6907, 6983, 7090],
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                       2728, 2738, 2741, 2746, 2751, 2754, 2766, 2769, 2781, 2783, 2787, 2799, 2813, 2814, 2818, 2833,
                       2858, 2881, 2883, 2893, 2899, 2904, 2912, 2914, 2934, 2938, 2950, 2954, 2964, 2968, 2981, 2998,
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                       3636, 3638, 3640, 3641, 3647, 3648, 3667, 3668, 3679, 3681, 3691, 3703, 3710, 3740, 3777, 3778,
                       3784, 3801, 3807, 3810, 3825, 3828, 3830, 3835, 3858, 3865, 3869, 3870, 3875, 3878, 3894, 3895,
                       3899, 3903, 3904, 3912, 3927, 3929, 3940, 3943, 3944, 3945, 3948, 3956, 3960, 3965, 3975, 3995,
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                       5912, 5926, 5930, 5931, 5954, 5956, 5964, 5966, 5968, 5974, 5982, 5994, 6002, 6014, 6025, 6028,
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                5154: [5190, 5537, 5727, 5944, 6165, 6509, 6654, 6905, 6915], 2257: [2376, 4918, 6360, 6572],
                2258: [5098, 6657],
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                       2775, 2778, 2787, 2789, 2813, 2827, 2830, 2847, 2848, 2849, 2858, 2871, 2880, 2886, 2901, 2903,
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                       5498, 5538, 5540, 5576, 5592, 5595, 5624, 5627, 5633, 5636, 5642, 5645, 5653, 5655, 5656, 5659,
                       5667, 5677, 5678, 5698, 5701, 5710, 5727, 5741, 5743, 5754, 5756, 5770, 5774, 5788, 5806, 5826,
                       5827, 5855, 5857, 5869, 5882, 5897, 5901, 5904, 5938, 5954, 5956, 5958, 5961, 5964, 5966, 6014,
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                2265: [2269, 3671, 4789, 4909, 5098, 5282, 5314, 5411, 5525, 6236],
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                       6773, 6788, 6807, 6841, 6869, 6898, 6905, 6919, 6935, 6990, 7000, 7003, 7004, 7024, 7035, 7049,
                       7079, 7086, 7093, 7094, 7113, 7114, 7137, 7166, 7167, 7172, 7175, 7179, 7185, 7192],
                2269: [5098], 4440: [5537], 6371: [6812],
                2276: [3210, 3384, 4608, 4616, 4789, 4951, 5130, 5314, 5754, 5961, 6360, 6942], 2278: [2626, 5961],
                5841: [6509, 7112],
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                       3313, 3315, 3323, 3344, 3347, 3354, 3369, 3374, 3409, 3413, 3450, 3452, 3454, 3458, 3485, 3488,
                       3506, 3550, 3608, 3640, 3671, 3676, 3684, 3707, 3842, 3852, 3863, 3879, 3951, 3980, 3989, 3996,
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                       6667, 6675, 6684, 6706, 6711, 6754, 6757, 6771, 6788, 6807, 6821, 6831, 6905, 6921, 6929, 6935,
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                2282: [3200, 3529, 3777, 5551], 2283: [6614], 6380: [6684, 7003, 7160],
                2288: [2340, 2626, 2787, 2981, 3265, 3462, 3628, 3640, 3777, 3982, 4168, 4218, 4340, 4465, 4690, 4801,
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                       6473, 6478, 6482, 6488, 6489, 6491, 6492, 6493, 6494, 6495, 6501, 6503, 6507, 6509, 6512, 6514,
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                       6929, 6935, 6953, 7003, 7019, 7024, 7029, 7046, 7049, 7067, 7080, 7083, 7086, 7088, 7109, 7160,
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                2393: [3136, 4545, 4822, 5311], 2396: [6776],
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                       5440, 5454, 5459, 5465, 5466, 5468, 5473, 5483, 5490, 5491, 5495, 5498, 5504, 5509, 5525, 5536,
                       5538, 5551, 5554, 5560, 5569, 5584, 5596, 5604, 5609, 5616, 5647, 5655, 5656, 5669, 5698, 5714,
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                       6636, 6642, 6646, 6648, 6657, 6666, 6672, 6684, 6685, 6698, 6711, 6727, 6752, 6757, 6774, 6776,
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                       6919, 6920, 6921, 6923, 6941, 6942, 6945, 6955, 6972, 6986, 6987, 6991, 6995, 7003, 7049, 7055,
                       7069, 7083, 7093, 7094, 7101, 7111, 7115, 7132, 7160, 7172, 7192, 7198, 7199], 2411: [3640],
                2413: [2425, 2588, 4439, 4552, 4874, 5220, 5537, 6227, 6319, 6383, 6509, 6659, 6886], 6510: [7142],
                2415: [2494, 2743, 2747, 2847, 2848, 2899, 3087, 3119, 3287, 3384, 3424, 3454, 3676, 3684, 3852, 3904,
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                       5667, 5754, 5773, 5792, 5904, 5964, 5979, 5982, 6236, 6300, 6325, 6339, 6360, 6490, 6657, 6684,
                       6738, 6802, 6841, 6935, 7049, 7113, 7154, 7160, 7192], 2417: [6572], 2419: [2500],
                2422: [3026, 4573, 6171, 6346, 6360, 6905],
                2423: [2673, 2762, 2919, 2936, 3109, 3179, 3210, 3267, 3287, 3311, 3384, 3399, 3424, 3454, 3671, 3852,
                       3946, 4111, 4195, 4573, 4909, 4951, 5279, 5329, 5371, 5488, 5498, 5525, 5754, 6127, 6236, 6339,
                       6360, 6363, 6738, 6905, 6915], 2427: [6360], 6524: [6596, 6648, 6757, 6771, 7142, 7172],
                6526: [7192],
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                       6612, 6613, 6623, 6628, 6633, 6636, 6642, 6647, 6650, 6659, 6663, 6670, 6671, 6672, 6673, 6687,
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                       6760, 6766, 6767, 6770, 6776, 6777, 6779, 6782, 6786, 6790, 6794, 6795, 6798, 6803, 6805, 6810,
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                       6931, 6935, 6941, 6944, 6946, 6949, 6954, 6959, 6962, 6963, 6966, 6970, 6971, 6974, 6976, 6977,
                       6978, 6980, 6990, 6996, 6997, 6998, 7006, 7010, 7013, 7017, 7019, 7028, 7031, 7033, 7034, 7035,
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                       7143, 7144, 7157, 7158, 7159, 7161, 7162, 7163, 7170, 7171, 7173, 7174, 7179, 7181, 7188, 7191,
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                2439: [2451, 2459, 2486, 2500, 2504, 2526, 2540, 2553, 2581, 2600, 2623, 2729, 2746, 2747, 2783, 2792,
                       2794, 2813, 2852, 2858, 2893, 2899, 2900, 2925, 2927, 2932, 2938, 2939, 2986, 3041, 3093, 3098,
                       3102, 3108, 3112, 3119, 3131, 3180, 3200, 3210, 3267, 3287, 3317, 3347, 3354, 3384, 3424, 3450,
                       3463, 3477, 3481, 3488, 3489, 3495, 3506, 3519, 3529, 3550, 3551, 3570, 3618, 3650, 3668, 3698,
                       3852, 3879, 3912, 3928, 3929, 3980, 4036, 4053, 4074, 4082, 4089, 4111, 4157, 4168, 4205, 4218,
                       4283, 4285, 4288, 4304, 4318, 4355, 4438, 4539, 4573, 4616, 4640, 4673, 4676, 4771, 4789, 4859,
                       4943, 4951, 4952, 5020, 5023, 5026, 5028, 5031, 5040, 5098, 5101, 5130, 5187, 5188, 5209, 5234,
                       5261, 5281, 5287, 5312, 5314, 5387, 5392, 5411, 5454, 5466, 5468, 5483, 5495, 5498, 5502, 5525,
                       5536, 5537, 5540, 5609, 5655, 5656, 5678, 5714, 5732, 5741, 5754, 5770, 5773, 5792, 5820, 5825,
                       5831, 5835, 5856, 5883, 5901, 5904, 5908, 5912, 5923, 5954, 5961, 5964, 5966, 5995, 6039, 6071,
                       6124, 6126, 6229, 6236, 6257, 6317, 6360, 6383, 6427, 6447, 6496, 6537, 6583, 6589, 6600, 6672,
                       6684, 6685, 6687, 6698, 6702, 6752, 6754, 6757, 6776, 6788, 6798, 6812, 6841, 6905, 6907, 6919,
                       6920, 6921, 6935, 6942, 6945, 6972, 7003, 7030, 7049, 7094, 7111, 7112, 7160, 7172, 7181, 7192,
                       7198, 7199], 5868: [5916, 5954, 5964, 5966, 6360, 6572, 6802, 6905, 6919, 6942, 6987, 7172],
                2442: [6360], 2443: [3628, 4789, 5098, 5130, 5609, 5678, 6841, 7137, 7172],
                2444: [2940, 4163, 4909, 4918, 6044], 2447: [3609], 2448: [4195],
                6545: [6557, 6562, 6614, 6648, 6657, 6675, 6706, 6756, 6762, 6771, 6779, 6796, 6824, 6832, 6848, 6853,
                       6905, 6935, 7003, 7046, 7067, 7093, 7097, 7099, 7137, 7172, 7185], 6550: [6657], 6551: [7137],
                2456: [5754, 5801], 6556: [6648, 6725, 6738, 6796, 6853, 6942, 7093, 7172], 2464: [4283],
                2468: [2473, 2486, 2491, 2492, 2494, 2526, 2544, 2553, 2556, 2557, 2572, 2581, 2600, 2619, 2623, 2636,
                       2639, 2648, 2651, 2659, 2671, 2676, 2679, 2686, 2701, 2707, 2715, 2729, 2746, 2747, 2753, 2769,
                       2772, 2774, 2775, 2778, 2789, 2800, 2810, 2813, 2830, 2847, 2852, 2858, 2861, 2871, 2883, 2924,
                       2925, 2930, 2939, 2961, 2993, 3003, 3005, 3014, 3023, 3029, 3036, 3039, 3062, 3087, 3091, 3104,
                       3112, 3131, 3133, 3144, 3157, 3158, 3180, 3198, 3199, 3200, 3218, 3220, 3223, 3243, 3267, 3268,
                       3269, 3274, 3280, 3285, 3290, 3317, 3323, 3342, 3347, 3351, 3354, 3357, 3358, 3363, 3373, 3398,
                       3406, 3411, 3414, 3421, 3426, 3452, 3462, 3466, 3467, 3477, 3481, 3488, 3494, 3505, 3506, 3529,
                       3534, 3535, 3550, 3560, 3565, 3570, 3576, 3587, 3608, 3618, 3628, 3629, 3634, 3641, 3650, 3667,
                       3671, 3691, 3696, 3720, 3740, 3752, 3769, 3777, 3781, 3804, 3808, 3846, 3852, 3857, 3879, 3895,
                       3898, 3902, 3912, 3928, 3929, 3958, 3961, 3978, 3982, 3993, 3996, 4002, 4032, 4075, 4082, 4084,
                       4111, 4115, 4117, 4158, 4163, 4165, 4167, 4168, 4182, 4189, 4190, 4195, 4211, 4218, 4222, 4234,
                       4248, 4256, 4265, 4271, 4272, 4280, 4285, 4289, 4294, 4312, 4318, 4355, 4364, 4368, 4451, 4465,
                       4469, 4494, 4498, 4516, 4561, 4573, 4576, 4608, 4616, 4640, 4657, 4670, 4673, 4675, 4676, 4685,
                       4704, 4722, 4730, 4766, 4796, 4800, 4801, 4804, 4850, 4859, 4880, 4882, 4909, 4918, 4927, 4936,
                       4937, 4939, 4947, 4952, 5016, 5022, 5023, 5035, 5048, 5057, 5062, 5078, 5098, 5130, 5133, 5140,
                       5143, 5187, 5209, 5232, 5259, 5281, 5282, 5287, 5310, 5312, 5314, 5329, 5341, 5344, 5355, 5368,
                       5370, 5390, 5392, 5403, 5409, 5426, 5440, 5456, 5466, 5468, 5483, 5489, 5491, 5495, 5498, 5499,
                       5500, 5502, 5538, 5568, 5578, 5584, 5592, 5596, 5597, 5614, 5616, 5633, 5655, 5656, 5659, 5678,
                       5698, 5714, 5727, 5728, 5735, 5741, 5745, 5754, 5762, 5770, 5773, 5792, 5804, 5825, 5832, 5835,
                       5836, 5839, 5861, 5871, 5882, 5887, 5897, 5901, 5904, 5908, 5912, 5913, 5916, 5923, 5930, 5931,
                       5954, 5956, 5961, 5964, 5966, 5982, 6014, 6020, 6025, 6030, 6034, 6036, 6071, 6120, 6124, 6126,
                       6139, 6158, 6169, 6172, 6197, 6204, 6229, 6252, 6266, 6269, 6272, 6273, 6299, 6312, 6317, 6323,
                       6327, 6336, 6339, 6343, 6346, 6360, 6373, 6399, 6404, 6405, 6417, 6427, 6429, 6441, 6443, 6455,
                       6490, 6493, 6496, 6503, 6505, 6515, 6540, 6541, 6548, 6554, 6562, 6589, 6614, 6642, 6648, 6657,
                       6666, 6675, 6676, 6685, 6689, 6727, 6743, 6752, 6754, 6757, 6762, 6781, 6791, 6796, 6807, 6812,
                       6814, 6815, 6816, 6818, 6826, 6831, 6832, 6841, 6848, 6857, 6867, 6870, 6877, 6898, 6905, 6906,
                       6909, 6910, 6918, 6919, 6921, 6935, 6941, 6942, 6951, 6955, 6972, 6987, 6990, 7003, 7019, 7025,
                       7028, 7029, 7049, 7055, 7067, 7073, 7079, 7082, 7083, 7093, 7094, 7104, 7110, 7111, 7113, 7130,
                       7137, 7152, 7154, 7160, 7162, 7172, 7188, 7192, 7199], 6569: [6757, 6935, 7003, 7137, 7172],
                2474: [2851, 5743],
                2475: [2481, 2482, 2485, 2486, 2490, 2491, 2492, 2493, 2494, 2496, 2498, 2500, 2504, 2508, 2510, 2511,
                       2519, 2520, 2526, 2530, 2533, 2534, 2537, 2540, 2541, 2544, 2553, 2557, 2565, 2572, 2573, 2581,
                       2582, 2588, 2599, 2600, 2602, 2603, 2605, 2606, 2609, 2611, 2612, 2613, 2623, 2625, 2626, 2635,
                       2636, 2637, 2638, 2639, 2642, 2643, 2644, 2649, 2650, 2657, 2659, 2660, 2662, 2665, 2667, 2668,
                       2673, 2675, 2676, 2679, 2680, 2682, 2683, 2686, 2689, 2694, 2695, 2696, 2707, 2715, 2717, 2718,
                       2729, 2734, 2736, 2738, 2741, 2743, 2747, 2749, 2760, 2761, 2762, 2769, 2770, 2772, 2773, 2774,
                       2775, 2778, 2783, 2785, 2788, 2789, 2790, 2797, 2800, 2802, 2804, 2805, 2808, 2810, 2813, 2814,
                       2818, 2825, 2836, 2840, 2847, 2848, 2849, 2854, 2858, 2860, 2861, 2863, 2867, 2870, 2871, 2873,
                       2875, 2879, 2881, 2883, 2886, 2890, 2892, 2899, 2900, 2901, 2911, 2912, 2913, 2914, 2919, 2920,
                       2924, 2925, 2927, 2930, 2933, 2934, 2936, 2939, 2940, 2942, 2945, 2947, 2949, 2953, 2954, 2956,
                       2958, 2961, 2962, 2966, 2974, 2985, 2993, 2998, 2999, 3002, 3005, 3006, 3014, 3015, 3024, 3025,
                       3026, 3031, 3036, 3049, 3058, 3066, 3068, 3070, 3075, 3087, 3098, 3102, 3104, 3108, 3109, 3110,
                       3112, 3113, 3119, 3124, 3127, 3128, 3131, 3132, 3133, 3136, 3138, 3146, 3151, 3156, 3157, 3160,
                       3161, 3168, 3169, 3173, 3174, 3184, 3191, 3197, 3199, 3200, 3207, 3209, 3210, 3217, 3222, 3228,
                       3230, 3232, 3236, 3237, 3239, 3242, 3243, 3247, 3258, 3262, 3263, 3264, 3266, 3267, 3268, 3269,
                       3270, 3271, 3274, 3278, 3280, 3281, 3282, 3287, 3288, 3290, 3292, 3293, 3299, 3304, 3306, 3308,
                       3310, 3311, 3313, 3314, 3315, 3317, 3322, 3323, 3324, 3325, 3332, 3336, 3337, 3339, 3340, 3342,
                       3344, 3347, 3349, 3351, 3354, 3367, 3369, 3373, 3374, 3376, 3378, 3384, 3385, 3388, 3391, 3392,
                       3395, 3398, 3400, 3406, 3409, 3410, 3411, 3413, 3414, 3424, 3426, 3427, 3429, 3433, 3434, 3435,
                       3436, 3440, 3445, 3446, 3449, 3450, 3452, 3454, 3456, 3461, 3466, 3467, 3472, 3475, 3477, 3479,
                       3480, 3481, 3483, 3485, 3488, 3489, 3495, 3497, 3500, 3504, 3505, 3506, 3515, 3517, 3518, 3520,
                       3523, 3525, 3526, 3530, 3531, 3534, 3535, 3536, 3538, 3547, 3548, 3549, 3551, 3555, 3556, 3557,
                       3559, 3560, 3561, 3565, 3566, 3569, 3572, 3573, 3576, 3577, 3579, 3583, 3587, 3588, 3592, 3593,
                       3594, 3595, 3597, 3600, 3604, 3608, 3613, 3617, 3619, 3622, 3625, 3626, 3628, 3629, 3635, 3636,
                       3638, 3640, 3647, 3649, 3650, 3652, 3667, 3671, 3676, 3679, 3680, 3684, 3685, 3687, 3688, 3692,
                       3694, 3700, 3703, 3707, 3711, 3712, 3713, 3715, 3717, 3719, 3729, 3739, 3740, 3741, 3752, 3757,
                       3760, 3761, 3763, 3773, 3775, 3776, 3779, 3781, 3785, 3786, 3787, 3788, 3790, 3795, 3796, 3797,
                       3798, 3804, 3805, 3807, 3811, 3814, 3815, 3817, 3819, 3820, 3829, 3830, 3832, 3834, 3842, 3846,
                       3850, 3851, 3852, 3858, 3862, 3863, 3866, 3869, 3872, 3873, 3875, 3878, 3879, 3882, 3886, 3891,
                       3894, 3895, 3896, 3898, 3899, 3903, 3904, 3909, 3912, 3913, 3915, 3916, 3923, 3924, 3925, 3927,
                       3928, 3929, 3930, 3931, 3935, 3943, 3946, 3947, 3950, 3951, 3952, 3958, 3960, 3961, 3963, 3965,
                       3975, 3976, 3978, 3980, 3981, 3982, 3988, 3989, 3990, 3995, 3996, 4000, 4002, 4003, 4004, 4006,
                       4008, 4015, 4019, 4021, 4028, 4029, 4032, 4035, 4036, 4037, 4044, 4046, 4048, 4053, 4054, 4056,
                       4067, 4068, 4072, 4073, 4074, 4078, 4082, 4084, 4090, 4091, 4097, 4104, 4105, 4111, 4113, 4114,
                       4116, 4117, 4119, 4120, 4124, 4125, 4129, 4132, 4133, 4145, 4148, 4151, 4152, 4153, 4154, 4155,
                       4156, 4157, 4160, 4161, 4165, 4167, 4168, 4171, 4172, 4176, 4182, 4189, 4190, 4192, 4194, 4195,
                       4197, 4198, 4200, 4203, 4210, 4211, 4216, 4217, 4218, 4222, 4226, 4227, 4233, 4234, 4241, 4242,
                       4248, 4254, 4256, 4271, 4275, 4278, 4280, 4283, 4288, 4290, 4294, 4297, 4298, 4300, 4308, 4309,
                       4310, 4312, 4313, 4318, 4321, 4322, 4324, 4326, 4328, 4330, 4331, 4333, 4335, 4340, 4341, 4343,
                       4345, 4349, 4351, 4355, 4359, 4363, 4364, 4366, 4369, 4370, 4374, 4383, 4385, 4401, 4402, 4405,
                       4426, 4437, 4444, 4451, 4453, 4462, 4463, 4465, 4477, 4478, 4494, 4501, 4512, 4513, 4516, 4528,
                       4536, 4537, 4539, 4542, 4545, 4546, 4553, 4557, 4558, 4560, 4563, 4566, 4572, 4573, 4576, 4580,
                       4582, 4583, 4585, 4592, 4604, 4605, 4608, 4609, 4612, 4619, 4622, 4635, 4640, 4644, 4648, 4652,
                       4657, 4670, 4672, 4673, 4676, 4677, 4678, 4680, 4682, 4685, 4687, 4690, 4697, 4701, 4704, 4708,
                       4711, 4713, 4714, 4717, 4719, 4720, 4724, 4726, 4728, 4738, 4739, 4741, 4750, 4752, 4759, 4763,
                       4766, 4768, 4770, 4771, 4772, 4779, 4782, 4783, 4785, 4786, 4789, 4791, 4795, 4800, 4804, 4811,
                       4813, 4822, 4826, 4827, 4833, 4836, 4838, 4841, 4843, 4845, 4846, 4850, 4853, 4854, 4857, 4859,
                       4863, 4869, 4870, 4872, 4876, 4880, 4882, 4889, 4892, 4894, 4897, 4898, 4909, 4910, 4914, 4917,
                       4922, 4926, 4927, 4928, 4932, 4936, 4937, 4939, 4941, 4943, 4944, 4949, 4951, 4952, 4956, 4957,
                       4967, 4970, 4972, 4978, 4980, 4992, 4993, 4995, 4997, 4999, 5008, 5016, 5018, 5020, 5022, 5023,
                       5025, 5031, 5032, 5040, 5041, 5055, 5058, 5060, 5062, 5063, 5064, 5077, 5078, 5083, 5088, 5089,
                       5091, 5092, 5093, 5095, 5098, 5099, 5102, 5103, 5104, 5105, 5106, 5111, 5121, 5122, 5126, 5127,
                       5129, 5130, 5131, 5132, 5133, 5139, 5140, 5143, 5148, 5149, 5150, 5159, 5161, 5162, 5170, 5171,
                       5173, 5177, 5182, 5188, 5196, 5197, 5199, 5203, 5209, 5214, 5218, 5219, 5221, 5223, 5224, 5226,
                       5229, 5232, 5234, 5238, 5240, 5243, 5245, 5251, 5252, 5255, 5259, 5260, 5261, 5262, 5263, 5264,
                       5265, 5267, 5268, 5272, 5279, 5280, 5282, 5283, 5285, 5287, 5293, 5295, 5296, 5297, 5301, 5311,
                       5312, 5313, 5314, 5321, 5323, 5324, 5328, 5329, 5332, 5334, 5341, 5347, 5354, 5355, 5363, 5367,
                       5368, 5369, 5371, 5372, 5383, 5386, 5387, 5390, 5392, 5399, 5405, 5406, 5409, 5411, 5412, 5418,
                       5422, 5424, 5429, 5430, 5432, 5438, 5440, 5442, 5446, 5450, 5454, 5455, 5456, 5465, 5466, 5468,
                       5469, 5473, 5475, 5476, 5483, 5485, 5486, 5488, 5489, 5491, 5493, 5495, 5498, 5499, 5500, 5501,
                       5504, 5505, 5508, 5509, 5512, 5525, 5529, 5534, 5536, 5538, 5540, 5541, 5549, 5550, 5552, 5554,
                       5565, 5568, 5572, 5573, 5575, 5577, 5578, 5580, 5582, 5583, 5584, 5592, 5596, 5598, 5604, 5606,
                       5607, 5609, 5612, 5614, 5615, 5620, 5622, 5624, 5627, 5631, 5632, 5633, 5636, 5640, 5641, 5642,
                       5646, 5648, 5653, 5655, 5656, 5659, 5667, 5669, 5670, 5674, 5676, 5678, 5691, 5692, 5695, 5698,
                       5701, 5714, 5725, 5727, 5728, 5732, 5735, 5736, 5741, 5743, 5745, 5748, 5754, 5756, 5761, 5762,
                       5770, 5773, 5774, 5775, 5780, 5782, 5788, 5791, 5792, 5794, 5797, 5800, 5801, 5804, 5824, 5825,
                       5826, 5827, 5828, 5830, 5831, 5833, 5834, 5835, 5836, 5839, 5840, 5845, 5858, 5863, 5864, 5869,
                       5871, 5877, 5879, 5882, 5885, 5886, 5887, 5889, 5890, 5891, 5892, 5897, 5899, 5903, 5904, 5907,
                       5908, 5911, 5913, 5914, 5919, 5923, 5926, 5928, 5930, 5938, 5942, 5944, 5947, 5950, 5953, 5954,
                       5955, 5959, 5961, 5964, 5966, 5978, 5979, 5982, 5992, 5994, 5999, 6000, 6002, 6004, 6006, 6007,
                       6010, 6013, 6014, 6016, 6017, 6022, 6025, 6027, 6030, 6031, 6033, 6036, 6038, 6039, 6040, 6044,
                       6048, 6051, 6053, 6054, 6059, 6063, 6067, 6068, 6071, 6072, 6075, 6077, 6081, 6083, 6086, 6094,
                       6095, 6103, 6108, 6111, 6113, 6118, 6120, 6124, 6125, 6127, 6132, 6133, 6134, 6135, 6136, 6137,
                       6139, 6140, 6143, 6146, 6150, 6159, 6165, 6171, 6172, 6174, 6180, 6185, 6192, 6194, 6197, 6201,
                       6204, 6206, 6207, 6209, 6212, 6213, 6215, 6229, 6234, 6236, 6237, 6240, 6242, 6243, 6247, 6248,
                       6251, 6252, 6257, 6259, 6261, 6265, 6266, 6268, 6269, 6272, 6273, 6279, 6280, 6286, 6288, 6292,
                       6294, 6296, 6298, 6299, 6300, 6301, 6310, 6311, 6312, 6313, 6317, 6322, 6323, 6324, 6325, 6327,
                       6336, 6337, 6338, 6339, 6341, 6345, 6346, 6353, 6355, 6357, 6358, 6360, 6362, 6363, 6367, 6368,
                       6370, 6376, 6378, 6379, 6382, 6383, 6385, 6387, 6388, 6389, 6399, 6401, 6402, 6406, 6407, 6410,
                       6415, 6418, 6420, 6422, 6423, 6424, 6427, 6429, 6431, 6433, 6434, 6439, 6442, 6443, 6446, 6449,
                       6452, 6455, 6460, 6471, 6476, 6481, 6482, 6486, 6487, 6490, 6491, 6493, 6501, 6503, 6504, 6507,
                       6519, 6521, 6523, 6529, 6533, 6537, 6542, 6546, 6550, 6551, 6557, 6560, 6562, 6563, 6570, 6577,
                       6578, 6579, 6585, 6589, 6590, 6598, 6601, 6603, 6605, 6611, 6614, 6616, 6617, 6622, 6624, 6626,
                       6630, 6637, 6641, 6648, 6651, 6657, 6658, 6662, 6666, 6671, 6672, 6673, 6675, 6681, 6684, 6685,
                       6686, 6687, 6689, 6696, 6697, 6706, 6709, 6711, 6715, 6722, 6724, 6726, 6727, 6730, 6733, 6734,
                       6738, 6739, 6742, 6743, 6750, 6752, 6754, 6755, 6756, 6757, 6758, 6762, 6771, 6772, 6773, 6776,
                       6778, 6779, 6788, 6791, 6792, 6796, 6799, 6801, 6802, 6804, 6807, 6811, 6814, 6816, 6819, 6821,
                       6824, 6831, 6832, 6833, 6836, 6839, 6841, 6845, 6846, 6848, 6849, 6851, 6852, 6853, 6857, 6864,
                       6867, 6869, 6870, 6871, 6873, 6875, 6876, 6877, 6881, 6885, 6887, 6898, 6900, 6901, 6905, 6907,
                       6910, 6914, 6915, 6916, 6917, 6919, 6920, 6921, 6922, 6923, 6925, 6928, 6932, 6935, 6936, 6941,
                       6942, 6943, 6945, 6954, 6955, 6957, 6962, 6967, 6969, 6972, 6979, 6983, 6986, 6990, 6991, 6992,
                       6997, 7000, 7003, 7004, 7014, 7017, 7023, 7024, 7025, 7028, 7030, 7035, 7036, 7042, 7044, 7049,
                       7053, 7058, 7060, 7063, 7064, 7067, 7069, 7070, 7071, 7079, 7082, 7083, 7086, 7088, 7089, 7093,
                       7094, 7097, 7104, 7105, 7109, 7111, 7113, 7114, 7117, 7118, 7120, 7130, 7137, 7140, 7144, 7148,
                       7152, 7154, 7157, 7158, 7160, 7162, 7167, 7168, 7170, 7171, 7172, 7179, 7181, 7185, 7189, 7192,
                       7196, 7198, 7199],
                2476: [2500, 2526, 2623, 2636, 2648, 2747, 2769, 2893, 2899, 2900, 2901, 2914, 3003, 3005, 3119, 3200,
                       3358, 3367, 3424, 3440, 3481, 3505, 3529, 3650, 3668, 3717, 3779, 4007, 4089, 4111, 4168, 4304,
                       4312, 4364, 4438, 4539, 4573, 4640, 4766, 5020, 5028, 5098, 5209, 5287, 5320, 5355, 5473, 5483,
                       5521, 5536, 5587, 5596, 5655, 5656, 5714, 5736, 5754, 5792, 5803, 5861, 5908, 5923, 5949, 5964,
                       5966, 6014, 6267, 6313, 6317, 6336, 6339, 6427, 6447, 6448, 6460, 6476, 6487, 6496, 6657, 6812,
                       6841, 6919, 6923, 6968, 7049, 7192, 7196], 6573: [6642],
                6263: [6268, 6269, 6274, 6298, 6325, 6339, 6346, 6415, 6455, 6490, 6511, 6562, 6603, 6611, 6657, 6684,
                       6738, 6754, 6776, 6841, 6853, 6905, 6942, 6957, 7004, 7064, 7086, 7093, 7094, 7113, 7172],
                2482: [6236, 6360, 6363], 2484: [4195, 5468, 5540, 5714, 6942], 6582: [6812, 6818, 6919, 7084, 7192],
                2488: [4074, 6376], 6587: [6905, 6907],
                2495: [2500, 2526, 2643, 2659, 2683, 2813, 2858, 2871, 2892, 2924, 2927, 3003, 3066, 3084, 3108, 3128,
                       3179, 3267, 3323, 3347, 3354, 3398, 3406, 3458, 3500, 3521, 3618, 3650, 3852, 3879, 3928, 3943,
                       3982, 4053, 4082, 4089, 4195, 4218, 4247, 4272, 4355, 4616, 4676, 4771, 4850, 4951, 4952, 5022,
                       5048, 5062, 5078, 5130, 5139, 5287, 5314, 5392, 5413, 5440, 5454, 5525, 5536, 5554, 5698, 5706,
                       5736, 5770, 5856, 5899, 5978, 5989, 6004, 6236, 6360, 6363, 6455, 6457, 6488, 6493, 6504, 6537,
                       6578, 6589, 6654, 6662, 6666, 6687, 6752, 6781, 6791, 6807, 6812, 6816, 6972, 7083, 7111, 7112,
                       7167, 7171], 2499: [5754],
                2501: [2502, 2664, 2746, 2914, 3200, 3317, 3529, 3668, 3929, 4621, 5616, 6343, 6470, 6548, 6886, 6919,
                       6995], 2503: [2504, 2772, 3785, 5281, 6247, 6857, 7090], 2507: [3131, 5261, 6600],
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                4449: [4457, 4594, 4595, 4640, 4713, 4759, 4881, 4899, 4918, 4952, 5040, 5105, 5118, 5213, 5246, 5283,
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                       6826, 6879, 6907, 6935, 6972, 7101, 7199], 6640: [6812], 2545: [4690],
                2546: [3347, 4355, 5314, 6360, 6383, 7171], 6643: [7192], 4521: [5756], 6649: [6905],
                2554: [2778, 2847, 3066, 4288, 4494, 5754, 6346, 6360],
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                       5732, 5754, 5773, 5775, 5792, 5801, 5961, 6127, 6143, 6236, 6325, 6360, 6407, 6490, 6511, 6557,
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                       7099, 7123, 7154, 7198], 6574: [6942, 7093], 2583: [3164, 3519, 6798, 6907, 7121],
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                2596: [2715, 3688, 4869, 5521, 5655, 5727, 5825, 5904, 5908, 6267, 6767, 6833, 6907],
                6693: [6867, 7172], 6695: [6907, 6942, 7172],
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                2609: [3640, 4576, 5754, 6360], 2613: [3517, 4097, 5438, 5656],
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                       6945, 6955, 6961, 6967, 6972, 6979, 6983, 6991, 6992, 6997, 7000, 7003, 7017, 7019, 7035, 7036,
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                       5923, 5930, 5954, 5964, 5966, 5979, 6002, 6014, 6020, 6025, 6038, 6054, 6075, 6120, 6197, 6201,
                       6204, 6217, 6252, 6257, 6286, 6312, 6317, 6341, 6349, 6355, 6378, 6399, 6427, 6481, 6496, 6505,
                       6515, 6517, 6572, 6589, 6648, 6657, 6689, 6698, 6727, 6737, 6738, 6773, 6776, 6788, 6814, 6815,
                       6818, 6841, 6898, 6905, 6919, 6920, 6936, 6942, 6962, 6983, 6986, 6991, 6995, 7006, 7042, 7049,
                       7079, 7080, 7088, 7094, 7096, 7109, 7111, 7113, 7130, 7154, 7162, 7172, 7179, 7185, 7192, 7199],
                2619: [6360], 6716: [7160], 6717: [7064], 2628: [2749, 4576, 5347, 5489, 5857, 6824, 7093],
                6727: [7049, 7172, 7192],
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                       3478, 3493, 3544, 3589, 3609, 3614, 3671, 3797, 3922, 3964, 3980, 3983, 4016, 4019, 4081, 4083,
                       4137, 4195, 4228, 4256, 4296, 4355, 4439, 4457, 4573, 4595, 4759, 4792, 4826, 4849, 4899, 4918,
                       4964, 4969, 4980, 5072, 5145, 5234, 5329, 5344, 5432, 5468, 5475, 5531, 5537, 5540, 5545, 5585,
                       5588, 5624, 5742, 5779, 5781, 5788, 5839, 5858, 5879, 6005, 6021, 6037, 6165, 6171, 6293, 6315,
                       6333, 6354, 6360, 6425, 6470, 6488, 6509, 6611, 6656, 6686, 6729, 6907, 6916, 7003, 7040, 7064,
                       7101, 7112, 7121, 7142], 2634: [7101], 2636: [5754, 7192],
                6735: [6817, 6919, 6920, 6972, 7093, 7112], 2640: [6360],
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                2647: [4163, 4759, 5468, 6127, 6143, 7082], 2649: [6905], 2650: [3671, 4909],
                2652: [2686, 2783, 2813, 3157, 3280, 3354, 4168, 4218, 4859, 5130, 5190, 5655, 5714, 5904, 5956, 5966,
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                2653: [2658, 2686, 2847, 2920, 3062, 3210, 3265, 3271, 3311, 3775, 3869, 3878, 4097, 4163, 4580, 4713,
                       4869, 4909, 5102, 5229, 5311, 5347, 5489, 5534, 5572, 5659, 5793, 5831, 5833, 5898, 5982, 6143,
                       6616], 6751: [6818, 6919, 6995, 7192],
                4180: [4312, 4576, 5078, 5592, 5800, 6171, 6172, 6572, 6596, 6725, 7079, 7172], 5544: [6886],
                2661: [2680, 2749, 2847, 2848, 2949, 2958, 2985, 3066, 3109, 3128, 3207, 3209, 3210, 3311, 3313, 3351,
                       3384, 3414, 3454, 3480, 3517, 3695, 3878, 3903, 3989, 4002, 4043, 4044, 4097, 4105, 4119, 4171,
                       4218, 4387, 4453, 4494, 4513, 4516, 4545, 4576, 4608, 4687, 4704, 4708, 4789, 4822, 4932, 4951,
                       5041, 5063, 5088, 5229, 5282, 5311, 5315, 5347, 5438, 5475, 5489, 5493, 5627, 5636, 5656, 5659,
                       5754, 5756, 5770, 5773, 5792, 5797, 5826, 5864, 5897, 5961, 6044, 6101, 6137, 6143, 6185, 6261,
                       6325, 6360, 6363, 6410, 6439, 6490, 6511, 6557, 6577, 6603, 6657, 6675, 6771, 6921, 6942, 6957,
                       6967, 7004, 7070, 7082, 7093, 7113], 6758: [6935], 2663: [3384, 5488],
                6761: [6762, 6764, 6766, 6770, 6773, 6774, 6776, 6781, 6783, 6786, 6788, 6791, 6794, 6795, 6796, 6798,
                       6799, 6800, 6805, 6807, 6808, 6810, 6811, 6812, 6815, 6816, 6817, 6818, 6822, 6823, 6827, 6828,
                       6831, 6832, 6834, 6835, 6841, 6846, 6847, 6848, 6849, 6850, 6851, 6852, 6854, 6855, 6856, 6861,
                       6864, 6868, 6870, 6873, 6878, 6886, 6891, 6894, 6898, 6901, 6906, 6907, 6913, 6916, 6918, 6919,
                       6920, 6921, 6924, 6929, 6930, 6936, 6940, 6941, 6942, 6943, 6945, 6946, 6947, 6948, 6951, 6958,
                       6960, 6961, 6962, 6965, 6966, 6968, 6971, 6972, 6973, 6974, 6980, 6986, 6987, 6990, 6992, 6995,
                       6997, 7000, 7002, 7003, 7005, 7006, 7007, 7019, 7021, 7022, 7025, 7028, 7030, 7034, 7039, 7045,
                       7046, 7047, 7048, 7049, 7054, 7055, 7056, 7060, 7066, 7069, 7073, 7074, 7079, 7082, 7083, 7084,
                       7089, 7094, 7095, 7096, 7098, 7100, 7101, 7102, 7106, 7107, 7110, 7111, 7112, 7113, 7115, 7116,
                       7118, 7120, 7121, 7123, 7126, 7128, 7132, 7133, 7137, 7142, 7145, 7147, 7150, 7151, 7152, 7154,
                       7156, 7158, 7160, 7161, 7164, 7166, 7167, 7168, 7169, 7172, 7175, 7176, 7180, 7181, 7184, 7185,
                       7188, 7192, 7194, 7198, 7199], 6765: [6788, 6796, 6802, 6821, 6845, 6921, 6942, 7080, 7093],
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                       4869, 4918, 4942, 5069, 5130, 5282, 5329, 5347, 5475, 5489, 5493, 5498, 5540, 5592, 5624, 5656,
                       5703, 5754, 5756, 5773, 5774, 5801, 5961, 6101, 6127, 6171, 6172, 6185, 6261, 6266, 6273, 6346,
                       6424, 6562, 6598, 6601, 6616, 6648, 6657, 6754, 6757, 6780, 6796, 6824, 6845, 6867, 6942, 6957,
                       6983, 6985, 7046, 7070, 7079, 7093, 7160, 7172], 2675: [5754], 6772: [6905, 7093],
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                       4573, 4609, 4640, 4759, 4776, 4849, 4859, 4899, 4918, 4980, 5023, 5078, 5145, 5150, 5190, 5232,
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                       5810, 5815, 5844, 5855, 5879, 5901, 5923, 5961, 6048, 6127, 6171, 6172, 6280, 6293, 6313, 6333,
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                       6762, 6798, 6826, 6841, 6853, 6884, 6887, 6905, 6907, 6935, 6942, 7002, 7003, 7029, 7098, 7112,
                       7123, 7158, 7172], 2682: [2900, 3287, 3671, 4195, 4640, 5314, 5483, 5792, 6907], 6591: [6657],
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                       2818, 2824, 2837, 2840, 2847, 2848, 2849, 2852, 2857, 2862, 2863, 2871, 2872, 2874, 2876, 2880,
                       2886, 2887, 2890, 2899, 2900, 2901, 2908, 2909, 2912, 2927, 2930, 2931, 2934, 2936, 2939, 2940,
                       2942, 2949, 2952, 2958, 2961, 2962, 2970, 2972, 2975, 2983, 2986, 2987, 2988, 2993, 2999, 3002,
                       3003, 3005, 3006, 3007, 3009, 3014, 3015, 3024, 3026, 3031, 3035, 3040, 3041, 3051, 3053, 3062,
                       3064, 3066, 3068, 3074, 3077, 3084, 3086, 3087, 3090, 3092, 3093, 3098, 3100, 3102, 3107, 3108,
                       3109, 3112, 3113, 3114, 3119, 3120, 3124, 3127, 3128, 3131, 3132, 3133, 3134, 3136, 3138, 3139,
                       3146, 3147, 3155, 3157, 3159, 3164, 3166, 3168, 3169, 3174, 3177, 3179, 3180, 3184, 3187, 3188,
                       3191, 3198, 3199, 3209, 3210, 3217, 3222, 3230, 3231, 3232, 3234, 3237, 3253, 3257, 3264, 3267,
                       3269, 3278, 3287, 3291, 3294, 3304, 3305, 3309, 3310, 3311, 3315, 3317, 3323, 3324, 3332, 3339,
                       3340, 3342, 3347, 3349, 3351, 3354, 3369, 3376, 3383, 3384, 3388, 3392, 3395, 3398, 3399, 3400,
                       3403, 3407, 3409, 3412, 3419, 3423, 3424, 3426, 3427, 3429, 3430, 3434, 3435, 3436, 3446, 3452,
                       3454, 3458, 3461, 3466, 3477, 3478, 3485, 3488, 3493, 3495, 3499, 3500, 3506, 3515, 3518, 3519,
                       3521, 3522, 3526, 3531, 3534, 3544, 3548, 3549, 3550, 3556, 3561, 3569, 3576, 3577, 3579, 3583,
                       3588, 3593, 3600, 3602, 3604, 3608, 3609, 3610, 3613, 3614, 3617, 3618, 3622, 3626, 3628, 3629,
                       3635, 3636, 3638, 3639, 3645, 3647, 3650, 3669, 3670, 3671, 3678, 3679, 3688, 3692, 3700, 3707,
                       3709, 3711, 3713, 3730, 3732, 3733, 3738, 3740, 3744, 3757, 3760, 3763, 3765, 3772, 3773, 3774,
                       3775, 3796, 3797, 3798, 3808, 3815, 3816, 3820, 3823, 3829, 3834, 3842, 3846, 3852, 3856, 3859,
                       3872, 3874, 3875, 3879, 3890, 3903, 3915, 3922, 3924, 3928, 3929, 3930, 3931, 3932, 3935, 3946,
                       3947, 3949, 3950, 3951, 3952, 3957, 3958, 3960, 3961, 3963, 3977, 3978, 3980, 3983, 3989, 3991,
                       3994, 3996, 4000, 4002, 4003, 4004, 4006, 4008, 4019, 4021, 4025, 4037, 4038, 4044, 4045, 4053,
                       4057, 4062, 4068, 4071, 4072, 4073, 4074, 4081, 4082, 4083, 4089, 4090, 4093, 4097, 4100, 4111,
                       4112, 4117, 4120, 4133, 4137, 4153, 4154, 4155, 4156, 4157, 4158, 4160, 4161, 4163, 4172, 4182,
                       4183, 4189, 4190, 4194, 4195, 4196, 4205, 4213, 4216, 4218, 4222, 4227, 4239, 4247, 4262, 4271,
                       4272, 4278, 4280, 4284, 4288, 4293, 4300, 4303, 4312, 4321, 4328, 4333, 4346, 4355, 4364, 4366,
                       4369, 4370, 4376, 4381, 4387, 4389, 4392, 4410, 4426, 4432, 4435, 4438, 4439, 4444, 4453, 4457,
                       4462, 4469, 4478, 4501, 4513, 4515, 4534, 4539, 4546, 4558, 4560, 4573, 4574, 4576, 4582, 4583,
                       4585, 4601, 4605, 4608, 4609, 4616, 4619, 4635, 4644, 4664, 4666, 4669, 4672, 4676, 4686, 4704,
                       4706, 4709, 4711, 4713, 4719, 4724, 4726, 4728, 4738, 4752, 4756, 4759, 4763, 4765, 4768, 4771,
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                       4932, 4934, 4937, 4949, 4951, 4956, 4957, 4958, 4964, 4967, 4969, 4980, 4992, 4993, 4995, 5007,
                       5016, 5017, 5018, 5021, 5022, 5026, 5031, 5032, 5036, 5040, 5054, 5060, 5062, 5063, 5064, 5069,
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                       5483, 5485, 5486, 5488, 5489, 5494, 5495, 5498, 5501, 5502, 5504, 5512, 5521, 5525, 5531, 5534,
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                       5609, 5612, 5620, 5624, 5626, 5629, 5631, 5632, 5633, 5645, 5646, 5656, 5657, 5659, 5665, 5674,
                       5678, 5681, 5687, 5691, 5697, 5698, 5700, 5701, 5705, 5706, 5710, 5714, 5724, 5727, 5728, 5732,
                       5734, 5742, 5756, 5762, 5770, 5773, 5774, 5781, 5788, 5789, 5791, 5792, 5800, 5801, 5803, 5810,
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                       7029, 7034, 7036, 7040, 7044, 7049, 7055, 7060, 7063, 7064, 7067, 7072, 7077, 7079, 7083, 7086,
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                2688: [3628, 3752, 3769, 3786, 4283, 4318, 5456, 5468, 5698, 6905, 7137, 7172, 7192],
                6785: [6796, 6824, 6848, 6849, 6853, 6942, 7075, 7080, 7082, 7093, 7094, 7111, 7113, 7137, 7154, 7172,
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                2692: [2700, 2962, 3104, 3210, 3349, 4494, 4554, 4573, 6169, 6360, 6383, 6905, 6942, 7093],
                2696: [2847], 4908: [6905], 2701: [2709], 2711: [5078, 5616, 7101],
                5273: [5438, 5498, 5540, 5633, 5659, 5754, 6194, 6360, 6733, 6738, 6754, 6942, 6977], 2713: [2900],
                2721: [2722, 2726, 2729, 2736, 2737, 2746, 2747, 2750, 2753, 2761, 2762, 2769, 2777, 2778, 2781, 2783,
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                       2893, 2899, 2900, 2901, 2907, 2911, 2912, 2914, 2922, 2923, 2924, 2925, 2927, 2928, 2932, 2935,
                       2936, 2938, 2939, 2949, 2951, 2953, 2962, 2968, 2969, 2970, 2988, 2990, 2993, 3002, 3003, 3004,
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                       3466, 3467, 3468, 3471, 3477, 3478, 3479, 3483, 3485, 3488, 3493, 3494, 3502, 3503, 3506, 3514,
                       3515, 3519, 3526, 3528, 3529, 3531, 3534, 3541, 3548, 3549, 3550, 3551, 3552, 3553, 3559, 3560,
                       3570, 3575, 3576, 3578, 3582, 3586, 3589, 3596, 3598, 3599, 3600, 3612, 3613, 3618, 3619, 3621,
                       3626, 3629, 3630, 3636, 3641, 3644, 3645, 3646, 3647, 3650, 3662, 3667, 3668, 3669, 3671, 3674,
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                       3738, 3755, 3760, 3764, 3767, 3772, 3773, 3777, 3779, 3781, 3788, 3789, 3797, 3798, 3804, 3806,
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                       5427, 5430, 5432, 5433, 5435, 5437, 5440, 5446, 5454, 5455, 5459, 5460, 5466, 5468, 5473, 5475,
                       5483, 5484, 5486, 5488, 5490, 5491, 5494, 5495, 5498, 5500, 5504, 5508, 5509, 5520, 5523, 5525,
                       5536, 5537, 5538, 5539, 5540, 5552, 5554, 5560, 5561, 5565, 5567, 5569, 5570, 5577, 5584, 5588,
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                       6774, 6776, 6781, 6791, 6794, 6795, 6796, 6798, 6799, 6805, 6807, 6808, 6810, 6811, 6812, 6815,
                       6816, 6817, 6818, 6821, 6822, 6828, 6832, 6833, 6834, 6835, 6839, 6841, 6846, 6849, 6850, 6852,
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                       6935, 6940, 6941, 6942, 6946, 6947, 6955, 6958, 6961, 6962, 6966, 6968, 6971, 6972, 6974, 6979,
                       6980, 6986, 6987, 6992, 6995, 7002, 7003, 7006, 7010, 7014, 7025, 7035, 7044, 7045, 7049, 7054,
                       7055, 7060, 7066, 7068, 7069, 7071, 7073, 7074, 7079, 7088, 7094, 7095, 7098, 7100, 7101, 7106,
                       7107, 7110, 7111, 7112, 7113, 7115, 7116, 7118, 7120, 7121, 7132, 7133, 7141, 7145, 7151, 7154,
                       7158, 7160, 7161, 7166, 7168, 7169, 7172, 7175, 7179, 7181, 7184, 7188, 7190, 7192, 7198, 7199],
                2722: [3384, 3454, 3852, 4218, 4608, 4951, 5525, 5754, 6236, 6363, 6511], 6820: [7192],
                2725: [2899, 3005, 3454, 3852, 4676, 5498, 5897, 6360], 2726: [3280, 3398, 3671, 4111, 4573, 5468],
                2727: [4595, 5855], 2730: [3131, 3313, 3454, 3982, 4453, 4909, 5311],
                2731: [2734, 2743, 2747, 2749, 2772, 2778, 2783, 2789, 2800, 2802, 2813, 2847, 2848, 2858, 2870, 2871,
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                       3066, 3073, 3109, 3112, 3115, 3128, 3131, 3157, 3183, 3197, 3200, 3209, 3228, 3247, 3258, 3264,
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                       3387, 3409, 3411, 3414, 3424, 3433, 3440, 3445, 3446, 3450, 3452, 3454, 3456, 3480, 3481, 3485,
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                       5029, 5041, 5048, 5056, 5060, 5088, 5096, 5098, 5130, 5131, 5133, 5143, 5166, 5171, 5173, 5177,
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                2733: [3304, 3809, 4218, 4574, 4918, 4943, 5190, 5261, 5468, 5537, 5545, 5961, 6084, 6725, 7191],
                5917: [6267], 2737: [5078],
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                2922: [3210, 3928, 3983, 4163, 4573, 4918, 5005, 5261, 5468, 5537, 5855, 6169, 6293, 6360, 6780, 7142,
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                2923: [2962, 3075, 3119, 3200, 3287, 3317, 3358, 3398, 3519, 3529, 3650, 3668, 3929, 3970, 4438, 4573,
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                       5989, 6343, 6427, 6496, 6515, 6642, 6810, 6812, 6815, 6818, 6886, 6919, 6986, 7006, 7049, 7111],
                2928: [3200, 3529],
                6632: [6636, 6639, 6640, 6642, 6659, 6671, 6680, 6684, 6704, 6714, 6716, 6725, 6727, 6740, 6741, 6744,
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                7032: [7075, 7079, 7086, 7093, 7094, 7104, 7112, 7158, 7160, 7171, 7172],
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                       3454, 3461, 3462, 3464, 3472, 3475, 3476, 3480, 3486, 3487, 3497, 3499, 3500, 3501, 3509, 3512,
                       3516, 3517, 3521, 3523, 3524, 3525, 3528, 3530, 3534, 3536, 3538, 3547, 3548, 3551, 3556, 3557,
                       3565, 3571, 3572, 3577, 3587, 3594, 3595, 3597, 3616, 3620, 3621, 3622, 3623, 3624, 3628, 3635,
                       3637, 3638, 3640, 3643, 3654, 3670, 3676, 3679, 3681, 3684, 3687, 3692, 3703, 3706, 3707, 3723,
                       3727, 3732, 3736, 3751, 3761, 3762, 3763, 3769, 3773, 3775, 3778, 3782, 3786, 3787, 3790, 3793,
                       3796, 3800, 3801, 3802, 3810, 3811, 3814, 3820, 3842, 3850, 3851, 3855, 3858, 3862, 3863, 3865,
                       3866, 3869, 3871, 3875, 3878, 3880, 3895, 3898, 3903, 3904, 3909, 3911, 3913, 3921, 3923, 3924,
                       3927, 3930, 3931, 3935, 3940, 3944, 3946, 3949, 3951, 3953, 3958, 3959, 3962, 3965, 3975, 3976,
                       3979, 3982, 3984, 3988, 3989, 3990, 3991, 3992, 3995, 4000, 4002, 4003, 4005, 4006, 4008, 4015,
                       4017, 4023, 4024, 4025, 4028, 4029, 4030, 4032, 4037, 4042, 4043, 4044, 4045, 4046, 4051, 4054,
                       4056, 4061, 4072, 4074, 4080, 4085, 4087, 4088, 4092, 4097, 4104, 4105, 4112, 4114, 4116, 4117,
                       4119, 4122, 4125, 4127, 4142, 4149, 4151, 4153, 4154, 4156, 4160, 4161, 4162, 4163, 4168, 4171,
                       4174, 4176, 4177, 4181, 4183, 4188, 4200, 4204, 4207, 4209, 4210, 4211, 4212, 4218, 4226, 4240,
                       4241, 4243, 4246, 4250, 4251, 4252, 4253, 4255, 4261, 4262, 4266, 4279, 4282, 4283, 4286, 4298,
                       4300, 4308, 4311, 4313, 4314, 4316, 4317, 4319, 4322, 4323, 4325, 4326, 4327, 4331, 4334, 4340,
                       4342, 4345, 4350, 4351, 4360, 4363, 4370, 4373, 4374, 4375, 4381, 4382, 4383, 4387, 4401, 4405,
                       4417, 4421, 4424, 4430, 4433, 4446, 4452, 4454, 4459, 4463, 4465, 4466, 4467, 4469, 4470, 4473,
                       4474, 4475, 4480, 4481, 4483, 4484, 4485, 4488, 4492, 4494, 4499, 4501, 4502, 4504, 4508, 4510,
                       4511, 4512, 4513, 4515, 4516, 4517, 4521, 4523, 4525, 4526, 4528, 4529, 4534, 4535, 4542, 4543,
                       4545, 4546, 4551, 4553, 4556, 4559, 4563, 4565, 4568, 4570, 4572, 4576, 4577, 4578, 4579, 4580,
                       4582, 4583, 4585, 4588, 4597, 4598, 4600, 4604, 4608, 4612, 4622, 4629, 4631, 4632, 4633, 4638,
                       4639, 4641, 4645, 4647, 4651, 4657, 4659, 4661, 4663, 4667, 4672, 4674, 4676, 4680, 4681, 4682,
                       4683, 4685, 4687, 4688, 4690, 4692, 4693, 4697, 4701, 4703, 4704, 4706, 4711, 4712, 4713, 4714,
                       4715, 4720, 4721, 4727, 4728, 4733, 4734, 4738, 4741, 4748, 4754, 4755, 4759, 4763, 4772, 4774,
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                       4818, 4822, 4823, 4831, 4838, 4841, 4843, 4850, 4851, 4857, 4865, 4869, 4877, 4879, 4882, 4886,
                       4890, 4892, 4893, 4894, 4902, 4905, 4909, 4910, 4914, 4915, 4917, 4918, 4921, 4924, 4925, 4928,
                       4930, 4931, 4932, 4934, 4935, 4936, 4941, 4947, 4949, 4951, 4957, 4958, 4959, 4960, 4961, 4975,
                       4977, 4980, 4984, 4992, 4994, 4996, 4997, 5001, 5003, 5005, 5006, 5009, 5014, 5015, 5016, 5017,
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                       5080, 5081, 5083, 5084, 5087, 5088, 5090, 5095, 5096, 5098, 5099, 5100, 5102, 5103, 5106, 5109,
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                       5205, 5214, 5215, 5217, 5218, 5221, 5228, 5229, 5238, 5240, 5242, 5243, 5244, 5248, 5250, 5251,
                       5252, 5260, 5262, 5263, 5265, 5268, 5270, 5280, 5282, 5285, 5286, 5297, 5301, 5303, 5306, 5311,
                       5315, 5323, 5325, 5328, 5330, 5331, 5341, 5345, 5347, 5349, 5351, 5354, 5369, 5371, 5372, 5373,
                       5376, 5380, 5384, 5386, 5390, 5391, 5399, 5400, 5404, 5405, 5406, 5409, 5410, 5415, 5416, 5420,
                       5424, 5430, 5434, 5438, 5442, 5446, 5447, 5452, 5456, 5459, 5472, 5474, 5475, 5476, 5485, 5487,
                       5488, 5489, 5493, 5498, 5499, 5500, 5501, 5503, 5504, 5513, 5516, 5532, 5533, 5534, 5539, 5541,
                       5542, 5543, 5548, 5559, 5572, 5575, 5576, 5581, 5583, 5589, 5592, 5593, 5595, 5598, 5601, 5602,
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                       5649, 5653, 5656, 5659, 5661, 5662, 5667, 5673, 5678, 5679, 5691, 5694, 5701, 5703, 5704, 5709,
                       5710, 5713, 5715, 5724, 5725, 5732, 5734, 5737, 5738, 5741, 5743, 5752, 5753, 5754, 5756, 5761,
                       5763, 5773, 5774, 5775, 5777, 5778, 5782, 5783, 5792, 5793, 5794, 5795, 5797, 5801, 5816, 5818,
                       5822, 5826, 5828, 5833, 5837, 5838, 5840, 5842, 5846, 5848, 5849, 5850, 5855, 5857, 5864, 5877,
                       5880, 5881, 5882, 5885, 5892, 5893, 5894, 5895, 5897, 5898, 5903, 5911, 5915, 5919, 5920, 5926,
                       5927, 5928, 5935, 5936, 5937, 5938, 5942, 5943, 5955, 5956, 5964, 5970, 5981, 5982, 5984, 5991,
                       5994, 6004, 6007, 6009, 6011, 6017, 6019, 6020, 6022, 6026, 6028, 6029, 6033, 6036, 6038, 6044,
                       6047, 6050, 6057, 6058, 6064, 6067, 6068, 6069, 6070, 6071, 6079, 6083, 6088, 6095, 6096, 6097,
                       6099, 6101, 6102, 6104, 6108, 6109, 6110, 6111, 6114, 6116, 6120, 6125, 6127, 6129, 6133, 6136,
                       6137, 6140, 6142, 6143, 6144, 6147, 6148, 6149, 6150, 6152, 6155, 6159, 6160, 6161, 6162, 6164,
                       6167, 6171, 6172, 6174, 6177, 6181, 6184, 6185, 6188, 6189, 6192, 6194, 6196, 6197, 6198, 6204,
                       6206, 6215, 6218, 6229, 6230, 6231, 6234, 6238, 6240, 6241, 6242, 6243, 6244, 6245, 6248, 6251,
                       6265, 6268, 6269, 6272, 6275, 6278, 6296, 6299, 6302, 6303, 6305, 6307, 6310, 6322, 6323, 6325,
                       6326, 6328, 6341, 6344, 6347, 6348, 6358, 6359, 6362, 6363, 6364, 6376, 6377, 6388, 6392, 6400,
                       6410, 6433, 6437, 6439, 6443, 6444, 6448, 6450, 6452, 6454, 6469, 6472, 6479, 6481, 6482, 6486,
                       6489, 6490, 6491, 6497, 6499, 6500, 6506, 6507, 6511, 6519, 6520, 6521, 6531, 6533, 6541, 6544,
                       6547, 6550, 6557, 6560, 6562, 6564, 6567, 6577, 6585, 6586, 6591, 6597, 6598, 6603, 6605, 6609,
                       6610, 6614, 6616, 6617, 6619, 6624, 6626, 6629, 6630, 6637, 6641, 6655, 6657, 6670, 6673, 6675,
                       6681, 6689, 6693, 6694, 6697, 6699, 6700, 6711, 6715, 6719, 6724, 6733, 6734, 6736, 6737, 6738,
                       6739, 6754, 6755, 6756, 6758, 6763, 6771, 6773, 6778, 6779, 6780, 6784, 6788, 6793, 6796, 6797,
                       6800, 6802, 6807, 6814, 6819, 6824, 6825, 6829, 6830, 6831, 6836, 6842, 6845, 6848, 6849, 6851,
                       6853, 6867, 6869, 6871, 6875, 6876, 6878, 6880, 6881, 6883, 6885, 6892, 6898, 6904, 6911, 6912,
                       6914, 6917, 6921, 6926, 6932, 6935, 6936, 6938, 6943, 6945, 6948, 6950, 6952, 6953, 6954, 6957,
                       6960, 6963, 6967, 6969, 6970, 6983, 6984, 6985, 6989, 6990, 6994, 6997, 6999, 7000, 7004, 7008,
                       7013, 7014, 7016, 7017, 7018, 7022, 7023, 7024, 7026, 7033, 7035, 7036, 7037, 7041, 7043, 7046,
                       7058, 7061, 7064, 7067, 7070, 7075, 7079, 7080, 7082, 7087, 7088, 7089, 7092, 7093, 7094, 7097,
                       7099, 7109, 7110, 7111, 7113, 7114, 7117, 7122, 7134, 7135, 7136, 7137, 7140, 7148, 7149, 7162,
                       7165, 7172, 7177, 7178, 7179, 7185, 7192, 7193, 7198], 7038: [7111],
                2946: [2959, 2985, 3921, 4334, 4340, 4522, 4564, 4918, 5185, 5410, 5756, 5857, 6547, 6982],
                4587: [5091, 5213, 5540, 5714, 6236, 6303, 6407, 6877, 6915, 7074], 2953: [5314],
                2955: [2963, 2985, 2987, 2998, 3036, 3066, 3087, 3104, 3109, 3112, 3115, 3128, 3191, 3207, 3210, 3230,
                       3246, 3265, 3271, 3309, 3311, 3315, 3349, 3369, 3374, 3384, 3414, 3426, 3435, 3446, 3454, 3495,
                       3517, 3622, 3624, 3635, 3638, 3640, 3670, 3775, 3862, 3878, 3895, 3909, 3921, 3924, 3930, 3951,
                       3989, 3995, 4000, 4002, 4037, 4044, 4072, 4097, 4105, 4116, 4117, 4119, 4153, 4163, 4171, 4210,
                       4211, 4218, 4252, 4288, 4316, 4383, 4387, 4453, 4494, 4498, 4504, 4516, 4528, 4545, 4576, 4582,
                       4598, 4608, 4622, 4673, 4687, 4697, 4704, 4708, 4738, 4759, 4789, 4893, 4894, 4909, 4910, 4922,
                       4932, 4951, 4957, 5006, 5041, 5063, 5069, 5088, 5096, 5102, 5130, 5131, 5143, 5171, 5182, 5203,
                       5240, 5243, 5244, 5252, 5263, 5268, 5280, 5311, 5315, 5347, 5354, 5420, 5475, 5488, 5489, 5493,
                       5498, 5499, 5525, 5534, 5615, 5627, 5636, 5642, 5656, 5659, 5715, 5723, 5732, 5754, 5756, 5775,
                       5792, 5797, 5826, 5857, 5864, 5928, 5961, 5964, 6025, 6036, 6044, 6071, 6101, 6121, 6127, 6137,
                       6143, 6149, 6185, 6236, 6325, 6346, 6363, 6383, 6407, 6410, 6412, 6439, 6443, 6490, 6491, 6511,
                       6557, 6577, 6610, 6616, 6648, 6657, 6675, 6733, 6754, 6771, 6779, 6780, 6796, 6802, 6819, 6824,
                       6845, 6848, 6867, 6881, 6905, 6926, 6942, 6957, 7000, 7003, 7004, 7067, 7070, 7086, 7089, 7093,
                       7099, 7113, 7114, 7137, 7172, 7198], 7054: [7069, 7086, 7094, 7158, 7160, 7172, 7192, 7199],
                7056: [7094, 7111, 7113, 7123, 7137], 7057: [7064, 7171, 7199], 7058: [7172],
                2965: [3066, 3265, 4043, 4163, 4417, 4576, 4598, 4704, 4910, 5244, 5286, 5723, 5756, 5857, 6044, 6185,
                       6383, 6763, 6926, 6957, 7004], 2966: [3384, 4789, 5311, 5438, 5754], 2967: [3292],
                2969: [3210, 3466, 3928, 3946, 3978, 4157, 4195, 4573, 4673, 5040, 5282, 5329, 5466, 5488, 5678, 6360,
                       6373, 6905, 6907, 7137, 7160], 4736: [5311, 5982, 7137],
                2543: [2544, 2591, 2641, 2645, 2700, 2747, 2778, 2789, 2792, 2794, 2837, 2852, 2880, 2927, 2930, 2936,
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                       3237, 3267, 3287, 3293, 3304, 3305, 3310, 3311, 3347, 3376, 3384, 3398, 3518, 3526, 3549, 3593,
                       3608, 3609, 3614, 3647, 3650, 3671, 3675, 3682, 3709, 3713, 3740, 3741, 3797, 3805, 3808, 3890,
                       3952, 3961, 3964, 3977, 3980, 3981, 3983, 4019, 4081, 4082, 4111, 4115, 4137, 4163, 4182, 4189,
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                       4585, 4595, 4640, 4771, 4776, 4792, 4826, 4841, 4849, 4918, 4952, 4980, 5031, 5072, 5088, 5112,
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                       5887, 5901, 5923, 5969, 6021, 6037, 6039, 6076, 6127, 6165, 6171, 6194, 6247, 6252, 6293, 6300,
                       6313, 6335, 6339, 6340, 6346, 6447, 6515, 6543, 6558, 6566, 6572, 6580, 6581, 6594, 6611, 6617,
                       6626, 6654, 6684, 6692, 6702, 6712, 6725, 6738, 6760, 6799, 6826, 6841, 6877, 6907, 6916, 6948,
                       6977, 7002, 7003, 7010, 7083, 7088, 7141, 7160, 7164], 2972: [3066, 3131, 5961, 7142],
                2973: [3265],
                2976: [2985, 2986, 2987, 3002, 3006, 3009, 3014, 3015, 3024, 3025, 3036, 3061, 3065, 3066, 3075, 3082,
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                       3146, 3156, 3157, 3160, 3161, 3166, 3173, 3179, 3183, 3184, 3197, 3199, 3207, 3209, 3210, 3220,
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                       3565, 3576, 3577, 3587, 3593, 3595, 3613, 3616, 3618, 3622, 3624, 3626, 3628, 3635, 3638, 3640,
                       3643, 3645, 3650, 3654, 3667, 3671, 3676, 3678, 3679, 3684, 3695, 3700, 3703, 3707, 3732, 3752,
                       3754, 3761, 3763, 3769, 3775, 3777, 3779, 3786, 3790, 3796, 3798, 3806, 3810, 3815, 3834, 3846,
                       3852, 3863, 3872, 3873, 3875, 3878, 3879, 3882, 3894, 3895, 3896, 3899, 3902, 3903, 3909, 3912,
                       3922, 3924, 3928, 3929, 3930, 3946, 3950, 3951, 3952, 3958, 3961, 3963, 3974, 3978, 3980, 3982,
                       3989, 3995, 3996, 4000, 4002, 4003, 4004, 4006, 4011, 4015, 4019, 4031, 4037, 4043, 4045, 4053,
                       4054, 4068, 4071, 4074, 4078, 4086, 4088, 4097, 4105, 4111, 4116, 4117, 4125, 4133, 4144, 4151,
                       4153, 4154, 4155, 4156, 4157, 4158, 4160, 4161, 4163, 4165, 4168, 4171, 4176, 4189, 4195, 4203,
                       4216, 4218, 4222, 4234, 4239, 4240, 4241, 4254, 4256, 4271, 4280, 4283, 4285, 4288, 4316, 4322,
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                       4426, 4432, 4435, 4451, 4452, 4453, 4462, 4465, 4469, 4473, 4484, 4494, 4498, 4501, 4504, 4513,
                       4516, 4522, 4528, 4536, 4542, 4545, 4546, 4554, 4557, 4558, 4561, 4572, 4576, 4580, 4582, 4583,
                       4584, 4585, 4593, 4608, 4616, 4619, 4622, 4630, 4642, 4652, 4657, 4668, 4672, 4673, 4676, 4678,
                       4680, 4683, 4685, 4687, 4689, 4697, 4701, 4704, 4708, 4711, 4713, 4719, 4724, 4725, 4728, 4738,
                       4739, 4752, 4759, 4770, 4771, 4779, 4782, 4787, 4789, 4795, 4801, 4804, 4822, 4841, 4843, 4844,
                       4845, 4853, 4854, 4859, 4869, 4880, 4882, 4894, 4898, 4909, 4910, 4914, 4918, 4922, 4926, 4927,
                       4928, 4932, 4939, 4942, 4949, 4951, 4957, 4967, 4969, 4972, 4980, 4984, 4993, 4997, 5001, 5002,
                       5005, 5009, 5016, 5022, 5031, 5041, 5046, 5056, 5058, 5062, 5063, 5064, 5069, 5078, 5088, 5089,
                       5096, 5102, 5111, 5121, 5126, 5127, 5130, 5131, 5133, 5140, 5143, 5148, 5157, 5161, 5171, 5181,
                       5182, 5187, 5190, 5197, 5209, 5221, 5224, 5229, 5232, 5240, 5244, 5248, 5259, 5260, 5261, 5262,
                       5263, 5264, 5268, 5272, 5279, 5280, 5282, 5285, 5293, 5297, 5311, 5313, 5314, 5315, 5316, 5320,
                       5321, 5323, 5324, 5329, 5332, 5341, 5347, 5354, 5362, 5371, 5373, 5380, 5390, 5398, 5403, 5405,
                       5409, 5415, 5418, 5420, 5421, 5422, 5429, 5430, 5432, 5438, 5440, 5446, 5450, 5456, 5465, 5466,
                       5468, 5475, 5485, 5486, 5488, 5489, 5493, 5495, 5498, 5499, 5512, 5525, 5534, 5536, 5538, 5540,
                       5559, 5561, 5565, 5568, 5574, 5578, 5580, 5582, 5583, 5584, 5588, 5592, 5595, 5596, 5609, 5620,
                       5624, 5627, 5628, 5631, 5633, 5636, 5641, 5642, 5645, 5653, 5655, 5656, 5657, 5659, 5661, 5674,
                       5679, 5695, 5698, 5701, 5710, 5711, 5714, 5723, 5727, 5728, 5732, 5733, 5735, 5736, 5743, 5754,
                       5756, 5770, 5773, 5774, 5775, 5780, 5782, 5788, 5792, 5793, 5797, 5801, 5826, 5833, 5836, 5857,
                       5859, 5863, 5871, 5879, 5882, 5886, 5887, 5890, 5892, 5898, 5901, 5903, 5904, 5907, 5913, 5914,
                       5915, 5918, 5928, 5931, 5938, 5945, 5950, 5954, 5956, 5961, 5964, 5966, 5979, 5981, 5982, 5999,
                       6016, 6020, 6022, 6025, 6030, 6033, 6036, 6038, 6044, 6047, 6050, 6058, 6063, 6067, 6071, 6095,
                       6101, 6103, 6108, 6111, 6118, 6121, 6124, 6127, 6129, 6132, 6137, 6139, 6140, 6143, 6146, 6147,
                       6160, 6169, 6171, 6172, 6185, 6187, 6192, 6194, 6196, 6197, 6202, 6207, 6211, 6222, 6236, 6240,
                       6243, 6244, 6252, 6257, 6261, 6265, 6266, 6273, 6274, 6310, 6322, 6323, 6325, 6334, 6336, 6339,
                       6346, 6347, 6348, 6358, 6360, 6363, 6373, 6382, 6383, 6388, 6392, 6399, 6400, 6404, 6405, 6406,
                       6410, 6412, 6414, 6416, 6420, 6424, 6427, 6430, 6434, 6443, 6452, 6455, 6466, 6469, 6481, 6486,
                       6489, 6490, 6491, 6493, 6495, 6518, 6519, 6521, 6523, 6537, 6550, 6551, 6557, 6562, 6563, 6571,
                       6572, 6577, 6578, 6589, 6601, 6605, 6610, 6614, 6616, 6617, 6630, 6631, 6648, 6653, 6655, 6657,
                       6664, 6666, 6667, 6671, 6675, 6676, 6679, 6681, 6684, 6699, 6706, 6709, 6711, 6733, 6738, 6750,
                       6752, 6754, 6755, 6757, 6762, 6771, 6772, 6773, 6776, 6779, 6780, 6781, 6796, 6799, 6801, 6805,
                       6807, 6808, 6814, 6816, 6824, 6825, 6831, 6832, 6848, 6851, 6852, 6853, 6857, 6864, 6867, 6876,
                       6881, 6882, 6884, 6885, 6898, 6905, 6906, 6915, 6921, 6923, 6926, 6935, 6941, 6942, 6945, 6948,
                       6950, 6957, 6962, 6967, 6972, 6986, 6991, 6992, 6997, 7000, 7003, 7004, 7025, 7028, 7036, 7046,
                       7049, 7055, 7067, 7070, 7075, 7079, 7082, 7083, 7086, 7088, 7089, 7093, 7094, 7097, 7099, 7104,
                       7105, 7109, 7110, 7111, 7113, 7114, 7117, 7123, 7131, 7137, 7142, 7144, 7152, 7154, 7160, 7161,
                       7162, 7166, 7168, 7171, 7172, 7184, 7185, 7188, 7192, 7198],
                2979: [3112, 3454, 4218, 5754, 5961, 6511, 6648, 7093, 7113], 2980: [3131, 3265, 3292, 6776],
                2982: [3062],
                6641: [6657, 6662, 6684, 6752, 6754, 6772, 6788, 6796, 6802, 6807, 6819, 6821, 6841, 6845, 6853, 6864,
                       6871, 6881, 6905, 6921, 6935, 6942, 6990, 7000, 7003, 7004, 7035, 7064, 7067, 7086, 7088, 7093,
                       7094, 7099, 7113, 7114, 7160, 7171, 7179, 7192], 7081: [7093, 7166, 7171, 7192],
                5959: [6197, 6657, 6841, 7192], 2988: [3210, 4195, 4969, 6360, 7093], 2991: [3354, 5857, 7093],
                2994: [7172], 7091: [7142],
                3000: [3066, 3128, 3131, 3384, 3622, 3989, 4044, 4097, 4387, 4576, 5088, 5171, 5261, 5311, 5432, 5438,
                       5754, 5756, 6127, 6185, 6360, 6410, 6771, 6845, 6942, 7004, 7093, 7142], 7100: [7192],
                5962: [6133, 6160, 6231, 6541, 6657, 6813, 6814, 6938, 7080, 7135], 3006: [4218, 4789, 5792, 6360],
                3012: [3265, 3769, 3802, 4516, 4576, 5311, 5715, 5754, 5756, 5857, 6808, 6957, 7088, 7099, 7184],
                3013: [3112, 3398, 4616, 5633, 7172], 6647: [6905],
                3019: [3066, 3112, 3210, 4002, 4190, 4195, 4288, 4932, 5609, 6346, 6360, 6796, 7093, 7172],
                3020: [3061, 5063, 5659, 6771], 3022: [7101], 3024: [5314, 5754, 6236], 4601: [6600],
                6102: [6172, 6197, 6511, 6657, 6824, 6878, 7192, 7198], 3033: [5078, 6633],
                6784: [6824, 6867, 6983, 6985, 7067, 7093, 7099, 7113, 7172], 5285: [5754], 3041: [4573, 5537],
                7139: [7192],
                3047: [3062, 3110, 3131, 3179, 3209, 3267, 3287, 3309, 3310, 3347, 3354, 3426, 3434, 3638, 3671, 3852,
                       3879, 3946, 4081, 4082, 4083, 4089, 4097, 4156, 4195, 4205, 4227, 4616, 4719, 4771, 4789, 4932,
                       4951, 5048, 5171, 5229, 5293, 5314, 5344, 5392, 5418, 5572, 5659, 5770, 5781, 5871, 5899, 5961,
                       6044, 6143, 6213, 6236, 6252, 6292, 6360, 6424, 6430, 6452, 6654, 6656, 6724, 6752, 6754, 6771,
                       6776, 6807, 6833, 6905, 6907, 6972, 7064, 7082, 7142, 7160, 7171, 7199],
                3048: [4608, 4622, 4690, 5468, 5775, 6511, 6529, 6648, 6776, 7093, 7172], 7146: [7165, 7172, 7191],
                3052: [7101], 3056: [3313, 3752, 4195, 5188, 5743, 7003],
                3060: [3104, 3131, 3265, 3411, 3989, 4117, 4218, 4918, 5390, 5659, 5793, 5857, 6824, 7093, 7172],
                4606: [5098], 3070: [3384, 4019, 4918, 5432, 5756, 7093],
                5973: [6127, 6171, 6345, 6346, 6360, 6511, 6603, 6796, 6824, 6921, 6945, 6957, 7079, 7137, 7172],
                3077: [6360],
                5975: [6017, 6023, 6037, 6042, 6066, 6086, 6103, 6118, 6200, 6218, 6220, 6226, 6281, 6293, 6315, 6320,
                       6343, 6354, 6372, 6373, 6390, 6406, 6408, 6470, 6488, 6514, 6522, 6538, 6600, 6602, 6611, 6613,
                       6615, 6633, 6656, 6659, 6672, 6677, 6679, 6686, 6687, 6698, 6723, 6725, 6729, 6731, 6747, 6756,
                       6771, 6798, 6817, 6847, 6907, 6931, 6972, 6988, 7002, 7031, 7076, 7098, 7101, 7103, 7107, 7121,
                       7142, 7143, 7169, 7176], 7183: [7185, 7192], 3088: [4163, 4918, 5621, 6044, 6143, 7142],
                3091: [5456, 5754], 3098: [3852, 4195, 4789, 5792, 6360],
                5295: [5442, 5456, 5498, 5512, 5754, 6252, 6325, 6363, 6491, 6562, 6657, 6771, 6983, 7093, 7185, 7192],
                3101: [3398], 6661: [6948, 7093, 7137, 7172], 3107: [4789], 6207: [6657],
                3111: [3119, 3210, 3519, 3550, 3570, 3650, 4195, 4355, 4573, 5438, 5525, 5536, 5714, 6360, 6496, 6905,
                       6942, 7049], 3121: [4089], 3122: [4848],
                3125: [3128, 3131, 3183, 3199, 3210, 3264, 3311, 3351, 3384, 3450, 3500, 3525, 3526, 3577, 3638, 3640,
                       3928, 3929, 3989, 4000, 4002, 4053, 4097, 4105, 4116, 4119, 4153, 4160, 4168, 4171, 4218, 4288,
                       4383, 4465, 4494, 4516, 4553, 4568, 4576, 4608, 4616, 4652, 4657, 4673, 4676, 4708, 4728, 4738,
                       4791, 4804, 4932, 4941, 4951, 5041, 5056, 5063, 5080, 5088, 5130, 5131, 5280, 5371, 5438, 5488,
                       5489, 5493, 5525, 5592, 5633, 5659, 5743, 5754, 5756, 5774, 5775, 5964, 6025, 6127, 6143, 6185,
                       6194, 6204, 6236, 6339, 6363, 6511, 6557, 6648, 6657, 6675, 6754, 6780, 6845, 6853, 6885, 6921,
                       6942, 7004, 7067, 7083, 7093, 7094, 7111, 7113], 4617: [6985], 3129: [4573, 5468],
                3132: [3210, 3384, 4789, 4932, 5432, 5438],
                5984: [6097, 6120, 6174, 6204, 6236, 6241, 6339, 6362, 6363, 6376, 6443, 6448, 6481, 6490, 6511, 6557,
                       6575, 6657, 6675, 6737, 6754, 6773, 6788, 6802, 6814, 6819, 6824, 6831, 6863, 6867, 6878, 6898,
                       6917, 6919, 6920, 6921, 6935, 6983, 7000, 7024, 7080, 7089, 7093, 7099, 7113, 7114, 7122, 7137,
                       7185, 7192, 7196],
                3139: [3179, 3237, 3267, 3310, 3347, 3852, 4195, 4771, 4789, 4969, 5279, 5314, 5609, 5714, 6021, 6236,
                       6360, 6907, 7160], 3140: [6360], 3145: [4089, 4439, 5314, 6360, 6907], 3149: [6470, 7101],
                3150: [3384, 3609, 4016, 4019, 4387, 4918, 5139, 5261, 5432, 5468, 5531, 6171, 6293, 6656, 7142],
                3151: [6905],
                5015: [5063, 5080, 5096, 5143, 5161, 5203, 5243, 5311, 5456, 5572, 5754, 5857, 6017, 6129, 6167, 6185,
                       6241, 6341, 6405, 6439, 6511, 6520, 6541, 6557, 6603, 6614, 6657, 6724, 6733, 6755, 6845, 6878,
                       6921, 7004, 7037, 7070, 7092, 7093, 7099, 7113, 7122],
                3161: [3500, 4153, 4494, 4576, 5592, 5754, 7093], 3162: [6360],
                3163: [3209, 3210, 3220, 3247, 3264, 3267, 3311, 3354, 3367, 3384, 3411, 3440, 3446, 3452, 3454, 3461,
                       3478, 3480, 3495, 3500, 3505, 3506, 3518, 3526, 3534, 3548, 3593, 3595, 3618, 3622, 3635, 3638,
                       3640, 3647, 3687, 3741, 3779, 3807, 3852, 3875, 3928, 3929, 3946, 3949, 3952, 3958, 3965, 3983,
                       3995, 4000, 4002, 4004, 4008, 4019, 4043, 4053, 4072, 4074, 4093, 4097, 4105, 4111, 4117, 4153,
                       4161, 4163, 4168, 4218, 4222, 4256, 4271, 4288, 4312, 4383, 4451, 4453, 4494, 4573, 4576, 4585,
                       4608, 4616, 4673, 4676, 4708, 4711, 4728, 4738, 4759, 4771, 4789, 4804, 4841, 4859, 4869, 4894,
                       4909, 4914, 4918, 4927, 4932, 4943, 4949, 4951, 4980, 5009, 5016, 5031, 5063, 5064, 5088, 5099,
                       5128, 5130, 5139, 5163, 5190, 5229, 5232, 5243, 5259, 5261, 5267, 5280, 5282, 5285, 5311, 5314,
                       5354, 5432, 5440, 5468, 5475, 5488, 5489, 5493, 5498, 5525, 5538, 5582, 5592, 5609, 5627, 5659,
                       5667, 5678, 5698, 5710, 5754, 5756, 5770, 5792, 5797, 5800, 5801, 5810, 5816, 5826, 5857, 5869,
                       5879, 5885, 5887, 5904, 5918, 5938, 5954, 5961, 5964, 5966, 6014, 6017, 6025, 6065, 6101, 6124,
                       6129, 6132, 6136, 6137, 6143, 6165, 6171, 6172, 6185, 6194, 6229, 6257, 6302, 6303, 6312, 6339,
                       6346, 6360, 6363, 6378, 6410, 6452, 6476, 6481, 6490, 6491, 6504, 6537, 6557, 6598, 6601, 6611,
                       6614, 6617, 6648, 6657, 6684, 6738, 6743, 6754, 6757, 6772, 6776, 6791, 6796, 6804, 6824, 6838,
                       6841, 6851, 6853, 6864, 6869, 6877, 6905, 6916, 6921, 6936, 6942, 6945, 6957, 6997, 7000, 7003,
                       7049, 7064, 7067, 7079, 7083, 7086, 7088, 7089, 7093, 7094, 7111, 7113, 7137, 7154, 7172, 7185],
                3166: [4918, 7093], 3167: [5078, 5916, 6172, 7073, 7101],
                3170: [3179, 3209, 3210, 3223, 3287, 3293, 3313, 3384, 3398, 3399, 3454, 3466, 3518, 3519, 3523, 3544,
                       3593, 3609, 3618, 3671, 3709, 3779, 3838, 3852, 3922, 3946, 3947, 3949, 3983, 4019, 4064, 4089,
                       4111, 4137, 4156, 4157, 4158, 4195, 4256, 4288, 4296, 4309, 4355, 4370, 4457, 4494, 4553, 4558,
                       4573, 4585, 4595, 4640, 4676, 4689, 4724, 4735, 4759, 4849, 4881, 4918, 4927, 4943, 4949, 4951,
                       4980, 5001, 5069, 5188, 5190, 5221, 5234, 5282, 5314, 5321, 5344, 5398, 5432, 5468, 5488, 5498,
                       5531, 5537, 5538, 5540, 5585, 5588, 5592, 5624, 5656, 5667, 5682, 5697, 5714, 5754, 5780, 5781,
                       5804, 5839, 5897, 5899, 5913, 5950, 5961, 5981, 6037, 6101, 6143, 6165, 6171, 6194, 6199, 6252,
                       6268, 6300, 6303, 6313, 6315, 6333, 6339, 6358, 6360, 6412, 6452, 6470, 6491, 6511, 6543, 6549,
                       6611, 6654, 6656, 6684, 6686, 6687, 6702, 6805, 6844, 6887, 6905, 6907, 6916, 6935, 6942, 7003,
                       7034, 7040, 7064, 7079, 7086, 7094, 7112, 7154, 7158, 7160, 7164],
                3172: [3200, 3529, 3551, 3628, 3777, 3778, 4496, 4789, 4796, 4917, 5186, 5325, 5499, 6355, 6399, 6771,
                       7185, 7192, 7199],
                3173: [3500, 3989, 4000, 4576, 4918, 4932, 5022, 5088, 5130, 5438, 5468, 5489, 5801, 5961, 6127, 6171,
                       6185, 6346, 6360, 6410, 6603, 6853, 6905, 6942, 7086, 7093, 7172], 3174: [4789],
                3185: [3199, 3216, 3236, 3267, 3278, 3304, 3309, 3310, 3315, 3325, 3335, 3354, 3362, 3384, 3385, 3398,
                       3399, 3402, 3413, 3424, 3434, 3452, 3489, 3499, 3500, 3506, 3515, 3518, 3521, 3526, 3548, 3549,
                       3550, 3564, 3604, 3608, 3618, 3625, 3636, 3641, 3645, 3650, 3667, 3682, 3693, 3698, 3712, 3730,
                       3731, 3740, 3760, 3773, 3797, 3805, 3808, 3852, 3856, 3866, 3872, 3879, 3892, 3895, 3940, 3946,
                       3947, 3952, 3977, 3991, 3993, 4019, 4045, 4053, 4064, 4071, 4072, 4074, 4082, 4086, 4089, 4128,
                       4153, 4158, 4167, 4182, 4197, 4211, 4225, 4272, 4333, 4338, 4364, 4387, 4393, 4488, 4539, 4550,
                       4554, 4576, 4585, 4608, 4616, 4653, 4676, 4713, 4716, 4771, 4789, 4804, 4815, 4826, 4846, 4889,
                       4919, 4943, 4951, 4992, 5016, 5017, 5020, 5026, 5029, 5031, 5040, 5091, 5128, 5130, 5171, 5179,
                       5190, 5223, 5234, 5246, 5252, 5261, 5299, 5314, 5334, 5344, 5347, 5372, 5375, 5396, 5402, 5411,
                       5430, 5432, 5440, 5459, 5483, 5488, 5494, 5498, 5504, 5525, 5536, 5540, 5549, 5560, 5585, 5609,
                       5627, 5653, 5681, 5706, 5714, 5727, 5754, 5773, 5779, 5780, 5792, 5801, 5817, 5820, 5826, 5832,
                       5856, 5903, 5918, 5923, 5928, 5944, 5945, 5978, 5989, 5995, 6006, 6017, 6048, 6076, 6085, 6124,
                       6136, 6139, 6143, 6163, 6171, 6176, 6236, 6257, 6269, 6292, 6317, 6346, 6360, 6447, 6455, 6467,
                       6469, 6486, 6488, 6490, 6504, 6542, 6543, 6548, 6566, 6578, 6593, 6601, 6626, 6664, 6671, 6675,
                       6762, 6776, 6786, 6815, 6844, 6864, 6877, 6879, 6907, 6929, 6935, 6941, 6942, 6991, 7003, 7005,
                       7044, 7074, 7079, 7086, 7088, 7098, 7111, 7132, 7158, 7160, 7171, 7192], 3187: [6360],
                3195: [3218, 3358, 3519, 3609, 3650, 3765, 3972, 4182, 4196, 4265, 4616, 4698, 4740, 4801, 4821, 4848,
                       4884, 4939, 5078, 5245, 5271, 5281, 5302, 5403, 5468, 5537, 5569, 5616, 5698, 5719, 5799, 5934,
                       6226, 6293, 6343, 6425, 6427, 6470, 6483, 6488, 6509, 6517, 6552, 6659, 6744, 6794, 6795, 6812,
                       6815, 6886, 7002, 7047, 7101, 7121, 7169], 3197: [4097, 4218, 5754, 6044], 3202: [3640],
                3203: [5633, 7093],
                3204: [3226, 3265, 3266, 3404, 3406, 3440, 3462, 3480, 3640, 3681, 3752, 3762, 3777, 3909, 3928, 3975,
                       4087, 4116, 4129, 4153, 4168, 4218, 4252, 4283, 4326, 4465, 4504, 4559, 4576, 4608, 4657, 4673,
                       4690, 4712, 4850, 4972, 5006, 5041, 5096, 5130, 5182, 5280, 5325, 5604, 5642, 5713, 5715, 5736,
                       5754, 5756, 5848, 5964, 6038, 6058, 6097, 6197, 6241, 6275, 6363, 6399, 6481, 6520, 6657, 6737,
                       6773, 6802, 6814, 6819, 6824, 6878, 6986, 6995, 7061, 7084, 7089, 7099, 7113, 7122, 7137, 7185,
                       7192, 7198], 3208: [5078, 6633],
                3211: [3384, 3452, 3454, 3671, 3852, 4002, 4119, 4218, 4312, 4494, 4576, 4676, 4789, 4857, 4932, 5088,
                       5130, 5354, 5438, 5498, 5754, 5792, 6127, 6143, 6171, 6339, 6360, 6802, 6905, 6942, 7093, 7172],
                3213: [3609, 3699, 4196, 4304, 4848, 4899, 5078, 5569, 6425, 6470, 6488, 7101, 7169],
                3215: [3276, 3305, 3347, 3398, 3419, 3427, 3544, 3609, 3650, 3671, 3764, 3797, 3918, 3928, 3964, 3980,
                       4002, 4019, 4089, 4205, 4285, 4355, 4365, 4369, 4387, 4396, 4407, 4439, 4506, 4513, 4522, 4574,
                       4593, 4594, 4595, 4630, 4650, 4666, 4722, 4792, 4826, 4834, 4845, 4848, 4849, 4899, 4918, 4933,
                       4963, 4968, 4969, 5022, 5078, 5106, 5145, 5187, 5229, 5245, 5261, 5314, 5321, 5344, 5398, 5421,
                       5432, 5477, 5486, 5502, 5517, 5537, 5540, 5545, 5588, 5596, 5620, 5657, 5665, 5727, 5742, 5781,
                       5788, 5804, 5839, 5863, 5899, 5944, 5952, 6037, 6143, 6169, 6252, 6293, 6331, 6333, 6412, 6425,
                       6452, 6458, 6488, 6509, 6543, 6571, 6580, 6611, 6631, 6654, 6656, 6659, 6672, 6686, 6687, 6750,
                       6760, 6762, 6807, 6810, 6826, 6833, 6905, 6907, 6915, 6916, 6923, 6924, 6925, 6942, 6948, 7112,
                       7142, 7176],
                3219: [3220, 3230, 3232, 3237, 3247, 3264, 3267, 3269, 3278, 3280, 3287, 3292, 3293, 3304, 3309, 3310,
                       3311, 3314, 3315, 3317, 3323, 3325, 3333, 3336, 3337, 3339, 3342, 3347, 3349, 3351, 3354, 3366,
                       3367, 3370, 3373, 3384, 3387, 3392, 3395, 3398, 3399, 3403, 3409, 3411, 3412, 3419, 3424, 3426,
                       3429, 3430, 3434, 3435, 3440, 3445, 3446, 3452, 3454, 3456, 3458, 3461, 3466, 3467, 3477, 3478,
                       3479, 3480, 3485, 3489, 3493, 3495, 3499, 3500, 3504, 3505, 3506, 3515, 3517, 3518, 3525, 3526,
                       3534, 3539, 3548, 3549, 3550, 3551, 3556, 3559, 3565, 3576, 3577, 3578, 3579, 3587, 3593, 3594,
                       3597, 3602, 3608, 3612, 3613, 3617, 3618, 3622, 3626, 3628, 3635, 3636, 3638, 3640, 3644, 3645,
                       3650, 3667, 3671, 3675, 3676, 3684, 3687, 3700, 3707, 3709, 3715, 3718, 3732, 3739, 3740, 3741,
                       3760, 3761, 3763, 3769, 3772, 3773, 3775, 3779, 3790, 3796, 3798, 3807, 3814, 3820, 3835, 3840,
                       3846, 3852, 3867, 3872, 3873, 3875, 3878, 3891, 3892, 3895, 3899, 3902, 3904, 3912, 3922, 3924,
                       3928, 3929, 3930, 3931, 3940, 3946, 3947, 3951, 3952, 3956, 3958, 3961, 3965, 3974, 3977, 3978,
                       3980, 3989, 3995, 3996, 4000, 4002, 4003, 4004, 4006, 4008, 4019, 4029, 4037, 4045, 4053, 4054,
                       4057, 4071, 4072, 4073, 4074, 4078, 4082, 4084, 4086, 4089, 4093, 4097, 4100, 4105, 4111, 4112,
                       4113, 4116, 4117, 4124, 4128, 4131, 4153, 4154, 4155, 4157, 4158, 4160, 4161, 4163, 4168, 4171,
                       4189, 4190, 4194, 4195, 4211, 4213, 4216, 4218, 4222, 4227, 4234, 4256, 4271, 4278, 4280, 4288,
                       4307, 4309, 4312, 4313, 4318, 4322, 4328, 4338, 4355, 4364, 4366, 4369, 4370, 4383, 4387, 4401,
                       4432, 4437, 4453, 4462, 4469, 4494, 4501, 4516, 4528, 4536, 4546, 4550, 4558, 4573, 4576, 4582,
                       4585, 4608, 4610, 4616, 4619, 4622, 4657, 4672, 4673, 4676, 4678, 4686, 4687, 4689, 4697, 4701,
                       4703, 4704, 4708, 4711, 4720, 4724, 4728, 4729, 4738, 4750, 4752, 4759, 4763, 4768, 4771, 4773,
                       4779, 4789, 4795, 4804, 4834, 4838, 4841, 4849, 4854, 4857, 4859, 4862, 4864, 4869, 4870, 4880,
                       4882, 4894, 4909, 4910, 4918, 4922, 4927, 4928, 4932, 4939, 4943, 4949, 4951, 4952, 4957, 4967,
                       4969, 4970, 4980, 4982, 4997, 5001, 5005, 5009, 5016, 5022, 5031, 5032, 5033, 5035, 5040, 5041,
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                3438: [5078, 6360],
                3439: [3458, 3461, 3463, 3468, 3477, 3478, 3493, 3494, 3495, 3500, 3506, 3521, 3526, 3529, 3549, 3550,
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                       3764, 3765, 3772, 3779, 3798, 3804, 3806, 3809, 3813, 3824, 3834, 3846, 3851, 3852, 3867, 3892,
                       3907, 3922, 3928, 3929, 3931, 3937, 3943, 3952, 3957, 3961, 3964, 3970, 3977, 3980, 3987, 3993,
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                       5475, 5477, 5488, 5490, 5494, 5498, 5502, 5525, 5531, 5536, 5537, 5538, 5540, 5552, 5554, 5561,
                       5569, 5588, 5592, 5596, 5609, 5620, 5633, 5645, 5657, 5669, 5698, 5714, 5727, 5732, 5735, 5744,
                       5754, 5756, 5770, 5774, 5800, 5801, 5803, 5817, 5820, 5851, 5856, 5869, 5871, 5879, 5882, 5883,
                       5885, 5887, 5900, 5901, 5912, 5913, 5916, 5923, 5938, 5949, 5958, 5961, 5966, 5969, 5978, 5989,
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                       6204, 6229, 6236, 6266, 6271, 6274, 6286, 6293, 6335, 6336, 6343, 6345, 6346, 6356, 6360, 6373,
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                       6617, 6633, 6646, 6653, 6654, 6655, 6656, 6664, 6666, 6667, 6672, 6675, 6684, 6685, 6702, 6724,
                       6725, 6728, 6738, 6741, 6743, 6752, 6754, 6757, 6762, 6776, 6781, 6791, 6794, 6796, 6798, 6799,
                       6802, 6807, 6810, 6812, 6815, 6816, 6818, 6832, 6833, 6846, 6851, 6877, 6898, 6905, 6906, 6907,
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                       6997, 7002, 7003, 7029, 7034, 7049, 7055, 7074, 7079, 7083, 7093, 7094, 7098, 7101, 7111, 7112,
                       7114, 7123, 7137, 7151, 7154, 7160, 7166, 7167, 7172, 7192, 7199], 3446: [4789], 3447: [7101],
                3449: [4608], 3451: [3640, 5314, 5536, 5754, 6236, 6363, 6687], 3459: [5897, 6360, 6948],
                3460: [3609, 4083, 4228, 4365, 4553, 5078, 5537, 5799, 6037, 6470, 6659, 7010, 7169],
                3465: [5078, 7142],
                1943: [2044, 2094, 2141, 2238, 2350, 2376, 2544, 2936, 3210, 3311, 3347, 4097, 4195, 4218, 4608, 4789,
                       4932, 4951, 5371, 5525, 5659, 6360, 6407, 6572, 7093],
                3468: [3929, 4616, 5078, 5130, 5468, 5743, 5754, 6812],
                3469: [3600, 3634, 3689, 3900, 3941, 3957, 3960, 3970, 4095, 4099, 4253, 4291, 4603, 4621, 4698, 4702,
                       4740, 4812, 4848, 4919, 5078, 5160, 5179, 5222, 5254, 5277, 5355, 5392, 5560, 5563, 5587, 5702,
                       5720, 5796, 5856, 5989, 6186, 6309, 6319, 6361, 6438, 6470, 6553, 6650, 6671, 6688, 6704, 6744,
                       6774, 6818, 6828, 6886, 7047, 7101, 7169], 3471: [6172], 3473: [5537, 6293, 7166],
                3476: [3640, 4218, 5754, 5904, 6657, 6814], 3477: [4573], 3480: [5754],
                3482: [3483, 3488, 3495, 3504, 3505, 3506, 3526, 3528, 3529, 3530, 3551, 3559, 3565, 3570, 3577, 3578,
                       3622, 3626, 3628, 3629, 3634, 3640, 3667, 3668, 3679, 3681, 3699, 3704, 3715, 3724, 3740, 3752,
                       3762, 3777, 3779, 3784, 3787, 3807, 3809, 3834, 3852, 3875, 3894, 3895, 3899, 3902, 3904, 3912,
                       3922, 3924, 3927, 3928, 3929, 3931, 3951, 3952, 3961, 3975, 3977, 3987, 3988, 4000, 4002, 4004,
                       4019, 4028, 4066, 4074, 4084, 4105, 4111, 4112, 4114, 4115, 4116, 4117, 4119, 4133, 4153, 4162,
                       4168, 4171, 4184, 4190, 4199, 4203, 4214, 4217, 4218, 4219, 4241, 4248, 4252, 4254, 4263, 4264,
                       4265, 4271, 4280, 4283, 4284, 4288, 4298, 4304, 4312, 4318, 4326, 4330, 4351, 4364, 4366, 4369,
                       4374, 4383, 4407, 4432, 4438, 4442, 4453, 4462, 4465, 4473, 4494, 4503, 4553, 4563, 4573, 4576,
                       4603, 4616, 4622, 4652, 4657, 4673, 4676, 4678, 4686, 4687, 4694, 4708, 4711, 4728, 4730, 4739,
                       4752, 4754, 4773, 4783, 4789, 4800, 4801, 4804, 4818, 4837, 4838, 4843, 4859, 4870, 4880, 4882,
                       4894, 4914, 4915, 4927, 4936, 4939, 4943, 4972, 4980, 4984, 5009, 5020, 5022, 5031, 5041, 5061,
                       5062, 5063, 5064, 5078, 5080, 5088, 5095, 5099, 5107, 5128, 5130, 5139, 5143, 5161, 5163, 5189,
                       5196, 5197, 5209, 5224, 5235, 5238, 5243, 5251, 5280, 5281, 5282, 5287, 5294, 5311, 5313, 5320,
                       5328, 5332, 5341, 5354, 5362, 5383, 5387, 5392, 5403, 5406, 5420, 5427, 5432, 5438, 5453, 5455,
                       5456, 5466, 5468, 5472, 5480, 5488, 5489, 5495, 5498, 5499, 5504, 5536, 5538, 5540, 5541, 5569,
                       5572, 5582, 5592, 5595, 5604, 5614, 5616, 5642, 5645, 5648, 5659, 5667, 5669, 5678, 5698, 5700,
                       5714, 5722, 5723, 5728, 5732, 5743, 5754, 5756, 5760, 5770, 5772, 5773, 5774, 5775, 5776, 5780,
                       5797, 5800, 5801, 5816, 5826, 5840, 5848, 5857, 5869, 5871, 5878, 5882, 5885, 5904, 5912, 5916,
                       5926, 5954, 5955, 5956, 5961, 5964, 5966, 5995, 6014, 6017, 6025, 6030, 6033, 6037, 6038, 6039,
                       6040, 6051, 6063, 6071, 6079, 6080, 6084, 6087, 6095, 6105, 6124, 6126, 6132, 6142, 6147, 6162,
                       6172, 6185, 6194, 6197, 6210, 6214, 6229, 6234, 6237, 6261, 6269, 6273, 6286, 6299, 6317, 6327,
                       6339, 6341, 6346, 6378, 6396, 6399, 6405, 6406, 6410, 6422, 6427, 6429, 6434, 6437, 6450, 6476,
                       6481, 6486, 6496, 6504, 6511, 6517, 6523, 6529, 6537, 6538, 6541, 6542, 6571, 6572, 6589, 6596,
                       6600, 6603, 6614, 6617, 6628, 6646, 6648, 6655, 6657, 6663, 6684, 6698, 6711, 6724, 6727, 6737,
                       6738, 6749, 6754, 6755, 6757, 6776, 6788, 6796, 6797, 6802, 6808, 6818, 6824, 6841, 6851, 6869,
                       6870, 6877, 6905, 6910, 6919, 6921, 6936, 6942, 6945, 6957, 6960, 6986, 6987, 6995, 7000, 7003,
                       7004, 7025, 7030, 7049, 7058, 7067, 7079, 7083, 7084, 7086, 7089, 7093, 7094, 7101, 7111, 7112,
                       7113, 7117, 7123, 7137, 7150, 7151, 7154, 7172, 7175, 7184, 7185, 7192, 7198],
                3486: [3595, 3671, 3995, 4163, 4283, 4545, 4584, 4909, 6103, 6383], 3487: [3640], 3491: [4115, 4730],
                3492: [3526, 3548, 3549, 3550, 3577, 3593, 3608, 3618, 3635, 3636, 3647, 3650, 3667, 3670, 3671, 3676,
                       3709, 3715, 3740, 3760, 3773, 3852, 3879, 3904, 3922, 3928, 3929, 3946, 3951, 3952, 3980, 3989,
                       4002, 4008, 4019, 4053, 4072, 4074, 4081, 4082, 4089, 4097, 4111, 4156, 4157, 4158, 4161, 4167,
                       4168, 4190, 4195, 4211, 4218, 4227, 4256, 4271, 4285, 4288, 4309, 4355, 4364, 4370, 4387, 4439,
                       4494, 4539, 4558, 4573, 4576, 4582, 4585, 4619, 4666, 4708, 4724, 4738, 4759, 4771, 4789, 4841,
                       4849, 4870, 4918, 4922, 4927, 4932, 4943, 4951, 4952, 4980, 5031, 5040, 5060, 5088, 5089, 5098,
                       5130, 5139, 5148, 5177, 5187, 5197, 5213, 5224, 5229, 5232, 5234, 5251, 5261, 5282, 5311, 5314,
                       5329, 5344, 5372, 5411, 5421, 5432, 5438, 5454, 5466, 5468, 5475, 5483, 5485, 5488, 5489, 5495,
                       5498, 5521, 5525, 5531, 5536, 5537, 5538, 5540, 5554, 5584, 5592, 5609, 5620, 5653, 5655, 5656,
                       5674, 5678, 5706, 5714, 5727, 5732, 5741, 5754, 5756, 5770, 5773, 5774, 5788, 5791, 5792, 5801,
                       5826, 5827, 5832, 5863, 5871, 5879, 5889, 5897, 5899, 5901, 5908, 5911, 5923, 5938, 5944, 5966,
                       6004, 6017, 6036, 6037, 6039, 6048, 6077, 6086, 6108, 6124, 6127, 6132, 6136, 6139, 6143, 6171,
                       6185, 6194, 6209, 6222, 6229, 6236, 6242, 6261, 6269, 6293, 6300, 6339, 6340, 6346, 6358, 6360,
                       6363, 6382, 6383, 6385, 6407, 6410, 6412, 6415, 6424, 6427, 6434, 6447, 6490, 6496, 6504, 6511,
                       6562, 6566, 6572, 6578, 6601, 6611, 6642, 6654, 6666, 6675, 6684, 6698, 6702, 6709, 6711, 6729,
                       6738, 6754, 6762, 6781, 6799, 6807, 6841, 6853, 6864, 6870, 6905, 6907, 6915, 6916, 6921, 6935,
                       6942, 6948, 6955, 6972, 7003, 7049, 7086, 7093, 7094, 7099, 7105, 7111, 7112, 7137, 7142, 7158,
                       7166, 7172, 7181],
                3498: [3500, 3517, 3628, 3640, 3828, 3904, 3909, 3975, 4087, 4105, 4116, 4117, 4119, 4218, 4252, 4283,
                       4383, 4559, 4563, 4616, 4657, 4673, 5006, 5041, 5063, 5088, 5280, 5311, 5499, 5658, 5743, 5754,
                       5792, 5964, 6025, 6341, 6511, 6557, 6603, 6657, 6737, 6773, 6780, 6814, 6867, 6878, 6898, 7089,
                       7113, 7122, 7185], 3502: [3570, 4616, 5078, 5130, 5432, 5468, 5488, 5901, 7111],
                3503: [3852, 4608, 4676, 5098, 5282, 5314, 5440, 5498, 5525, 5754, 5792, 5904, 6657, 6687, 6935, 7192,
                       7199], 3508: [4097, 5438, 5627, 5659], 3510: [5078, 6293], 5436: [5540, 6172],
                3512: [3517, 3556, 3624, 3626, 3638, 3640, 3670, 3676, 3775, 3801, 3862, 3869, 3878, 3895, 3989, 3996,
                       4000, 4028, 4044, 4087, 4105, 4119, 4153, 4218, 4299, 4313, 4322, 4381, 4383, 4405, 4463, 4494,
                       4516, 4528, 4545, 4551, 4553, 4568, 4576, 4608, 4657, 4683, 4687, 4688, 4697, 4704, 4783, 4791,
                       4822, 4850, 4910, 4918, 4941, 4951, 4957, 4992, 4997, 5006, 5031, 5041, 5063, 5096, 5131, 5133,
                       5203, 5244, 5263, 5268, 5280, 5306, 5311, 5354, 5390, 5409, 5438, 5488, 5493, 5525, 5536, 5615,
                       5633, 5636, 5642, 5656, 5659, 5710, 5736, 5741, 5743, 5756, 5775, 5782, 5783, 5882, 5964, 6004,
                       6025, 6070, 6097, 6120, 6133, 6149, 6171, 6185, 6194, 6241, 6243, 6303, 6363, 6410, 6434, 6439,
                       6455, 6493, 6511, 6549, 6577, 6657, 6771, 6773, 6776, 6814, 6824, 6845, 6867, 6875, 6898, 6921,
                       6943, 7004, 7037, 7064, 7067, 7070, 7089, 7093, 7099, 7111, 7113, 7122, 7137, 7198],
                3514: [3529, 3777, 3929, 4115, 4168, 4318, 4438, 4559, 4621, 4673, 4675, 4796, 5078, 5179, 5209, 5569,
                       5604, 5616, 5912, 5954, 5966, 6336, 6343, 6496, 6505, 6589, 6657, 6818, 6835, 6919, 6995, 7084,
                       7111, 7192], 3515: [6360], 3526: [5525],
                6049: [6229, 6511, 6572, 6657, 6724, 6752, 6796, 6802, 6921, 7046, 7064, 7083, 7103, 7160],
                3533: [5456], 3541: [5537, 6470], 3542: [4081, 7064], 3543: [3844, 6886, 7101],
                3546: [3613, 3622, 3640, 3676, 3703, 3752, 3769, 3775, 3863, 3909, 3951, 3958, 3995, 4000, 4043, 4074,
                       4097, 4105, 4117, 4125, 4153, 4254, 4283, 4364, 4383, 4451, 4453, 4463, 4494, 4516, 4542, 4545,
                       4563, 4568, 4608, 4639, 4676, 4685, 4697, 4701, 4704, 4779, 4782, 4822, 4869, 4909, 4945, 4992,
                       4997, 5006, 5041, 5063, 5095, 5096, 5098, 5104, 5130, 5133, 5143, 5182, 5188, 5246, 5260, 5267,
                       5282, 5390, 5406, 5456, 5476, 5493, 5498, 5512, 5578, 5636, 5642, 5659, 5675, 5691, 5736, 5754,
                       5775, 5792, 5801, 5857, 5858, 5904, 5919, 5936, 5961, 5964, 6038, 6058, 6137, 6252, 6272, 6299,
                       6323, 6325, 6363, 6364, 6407, 6439, 6481, 6490, 6491, 6557, 6577, 6648, 6657, 6754, 6773, 6814,
                       6821, 6824, 6825, 6867, 6898, 6905, 6911, 6935, 7004, 7067, 7093, 7113, 7114, 7154, 7162, 7179,
                       7185, 7188, 7192], 3547: [3640, 6657], 3553: [4573, 5040, 5468, 6496],
                3558: [3671, 4163, 4195, 4218, 4501, 4608, 4789, 4909, 4932, 5282, 5314, 5371, 5409, 5468, 5770, 6247,
                       6325, 6360, 6434, 6563, 6657, 6675, 7003, 7113, 7188],
                3559: [4364, 4576, 5098, 5130, 5456, 5754, 6603, 6776, 6796, 7172, 7192],
                3563: [3609, 3815, 4190, 4196, 4730, 4801, 4826, 5078, 5190, 5380, 5468, 5537, 5616, 5799, 5916, 6360,
                       6406, 6470, 6488, 6548, 6648, 6810, 6924, 7101, 7121, 7169, 7184], 3565: [4218],
                3568: [3659, 3778, 4066, 4184, 4379, 4436, 4497, 4509, 4535, 4574, 4848, 4884, 4907, 4979, 5072, 5337,
                       5393, 5453, 5591, 5680, 5767, 5855, 5934, 6128, 6144, 6218, 6226, 6390, 6483, 6538, 6600, 6659,
                       6760, 6837, 6886, 6982, 7103, 7147, 7169],
                3575: [3647, 3650, 3852, 3980, 4111, 4117, 4155, 4168, 4190, 4195, 4218, 4288, 4370, 4573, 4616, 4771,
                       4773, 4804, 5040, 5078, 5088, 5139, 5224, 5421, 5438, 5440, 5468, 5488, 5592, 5655, 5727, 5743,
                       5754, 5770, 5901, 5956, 6030, 6124, 6127, 6327, 6346, 6360, 6427, 6496, 6515, 6671, 6675, 6776,
                       6781, 6816, 6905, 6910, 7093, 7094, 7111, 7137, 7145, 7166], 3578: [5438, 7094, 7172],
                3580: [4909],
                3582: [3640, 3852, 3904, 4074, 4089, 4218, 4364, 4608, 4616, 4676, 4690, 4789, 4909, 4951, 4952, 5098,
                       5130, 5182, 5209, 5282, 5314, 5409, 5454, 5468, 5498, 5521, 5525, 5536, 5540, 5706, 5714, 5736,
                       5754, 5791, 5904, 6038, 6236, 6317, 6339, 6603, 6657, 6684, 6788, 6807, 6841, 6905, 6935, 7094,
                       7111, 7192], 3584: [4218, 4909, 5540, 6143, 6292, 6791],
                3585: [4194, 4789, 5261, 5344, 5354, 5609, 5678, 5781, 6071, 6346, 6724, 6755, 6907, 6948, 7142, 7160],
                3586: [5078, 5498],
                3587: [3640, 3928, 4218, 4364, 4576, 4608, 4676, 4909, 5063, 5098, 5130, 5282, 5347, 5498, 5754, 5773,
                       5792, 5801, 5904, 6346, 6360, 6603, 6657, 6754, 6942, 7079, 7094, 7172],
                3591: [3650, 4195, 4355, 4826, 5344, 5468, 5537, 6907],
                3597: [3852, 3951, 4789, 5498, 6360, 6905, 7172],
                3598: [3671, 4364, 4640, 5521, 5537, 5908, 6247, 6821], 3599: [5468, 5954, 6657, 7192],
                4696: [5078, 5961, 6600, 6905, 7076, 7123, 7172],
                3602: [3671, 3852, 3904, 3951, 4072, 4195, 4576, 4676, 4789, 4951, 5498, 5627, 5754, 5791, 5904, 6143,
                       6236, 6684, 7086],
                3606: [3608, 3613, 3618, 3622, 3625, 3626, 3628, 3635, 3636, 3638, 3643, 3645, 3647, 3650, 3667, 3671,
                       3675, 3676, 3679, 3684, 3687, 3688, 3691, 3692, 3694, 3700, 3707, 3711, 3713, 3727, 3732, 3733,
                       3740, 3741, 3757, 3761, 3763, 3769, 3772, 3773, 3774, 3775, 3786, 3790, 3796, 3797, 3798, 3804,
                       3805, 3814, 3815, 3817, 3820, 3834, 3840, 3843, 3846, 3851, 3852, 3859, 3867, 3869, 3872, 3873,
                       3879, 3882, 3891, 3893, 3895, 3898, 3899, 3902, 3903, 3904, 3912, 3915, 3924, 3928, 3929, 3930,
                       3931, 3946, 3949, 3951, 3952, 3958, 3961, 3963, 3965, 3976, 3978, 3980, 3982, 3989, 3994, 3996,
                       3998, 4000, 4002, 4003, 4004, 4006, 4019, 4031, 4037, 4043, 4045, 4050, 4053, 4054, 4057, 4071,
                       4072, 4074, 4078, 4082, 4083, 4086, 4091, 4097, 4103, 4105, 4111, 4113, 4117, 4119, 4120, 4148,
                       4153, 4154, 4155, 4156, 4157, 4158, 4160, 4161, 4163, 4167, 4168, 4171, 4172, 4182, 4189, 4190,
                       4194, 4195, 4203, 4211, 4213, 4216, 4217, 4218, 4222, 4227, 4228, 4234, 4238, 4241, 4242, 4247,
                       4254, 4256, 4271, 4272, 4278, 4280, 4285, 4288, 4298, 4309, 4312, 4322, 4328, 4331, 4338, 4355,
                       4364, 4366, 4369, 4370, 4383, 4387, 4392, 4399, 4405, 4410, 4426, 4437, 4451, 4453, 4457, 4461,
                       4462, 4469, 4494, 4501, 4516, 4528, 4536, 4537, 4539, 4544, 4546, 4550, 4558, 4560, 4573, 4574,
                       4576, 4580, 4582, 4583, 4584, 4585, 4595, 4597, 4605, 4608, 4609, 4614, 4616, 4619, 4622, 4640,
                       4644, 4652, 4657, 4666, 4670, 4672, 4673, 4676, 4677, 4678, 4680, 4685, 4686, 4687, 4697, 4701,
                       4704, 4708, 4709, 4711, 4713, 4714, 4719, 4722, 4724, 4725, 4728, 4729, 4738, 4752, 4759, 4768,
                       4771, 4779, 4785, 4786, 4789, 4795, 4801, 4804, 4822, 4838, 4841, 4843, 4845, 4846, 4849, 4854,
                       4857, 4859, 4869, 4870, 4872, 4876, 4882, 4888, 4894, 4898, 4909, 4910, 4918, 4922, 4926, 4927,
                       4928, 4932, 4936, 4939, 4943, 4951, 4952, 4957, 4962, 4967, 4969, 4970, 4980, 4982, 4989, 4992,
                       4993, 4997, 5001, 5009, 5016, 5022, 5023, 5031, 5036, 5040, 5046, 5048, 5056, 5060, 5062, 5063,
                       5077, 5088, 5089, 5099, 5104, 5111, 5118, 5126, 5127, 5128, 5129, 5130, 5131, 5132, 5133, 5139,
                       5140, 5143, 5146, 5148, 5157, 5162, 5171, 5175, 5177, 5187, 5188, 5190, 5197, 5209, 5213, 5218,
                       5219, 5221, 5223, 5224, 5226, 5229, 5232, 5234, 5250, 5251, 5252, 5259, 5260, 5261, 5262, 5264,
                       5267, 5269, 5272, 5279, 5282, 5283, 5285, 5293, 5297, 5299, 5300, 5311, 5312, 5313, 5314, 5315,
                       5317, 5324, 5329, 5332, 5341, 5342, 5344, 5347, 5354, 5363, 5367, 5370, 5371, 5383, 5386, 5387,
                       5395, 5398, 5405, 5406, 5409, 5413, 5418, 5420, 5421, 5422, 5426, 5429, 5431, 5432, 5438, 5440,
                       5442, 5454, 5455, 5456, 5466, 5468, 5475, 5483, 5485, 5486, 5488, 5489, 5493, 5494, 5495, 5498,
                       5499, 5512, 5525, 5529, 5531, 5534, 5536, 5537, 5538, 5540, 5541, 5549, 5554, 5559, 5565, 5568,
                       5572, 5580, 5582, 5584, 5585, 5588, 5592, 5595, 5609, 5612, 5620, 5624, 5627, 5631, 5632, 5633,
                       5636, 5645, 5649, 5653, 5655, 5656, 5657, 5658, 5659, 5667, 5674, 5678, 5681, 5698, 5701, 5706,
                       5714, 5727, 5728, 5730, 5732, 5734, 5742, 5743, 5754, 5756, 5762, 5770, 5773, 5774, 5775, 5780,
                       5781, 5784, 5788, 5791, 5792, 5800, 5801, 5804, 5810, 5817, 5827, 5828, 5831, 5832, 5833, 5835,
                       5836, 5839, 5840, 5855, 5857, 5864, 5869, 5871, 5877, 5879, 5882, 5885, 5886, 5887, 5889, 5890,
                       5892, 5897, 5899, 5901, 5903, 5904, 5907, 5911, 5912, 5913, 5923, 5928, 5930, 5938, 5941, 5944,
                       5945, 5947, 5950, 5954, 5955, 5956, 5961, 5964, 5966, 5978, 5981, 5988, 5992, 5995, 5999, 6003,
                       6004, 6006, 6008, 6013, 6016, 6017, 6022, 6025, 6027, 6030, 6034, 6036, 6038, 6039, 6044, 6047,
                       6050, 6071, 6076, 6077, 6080, 6081, 6086, 6101, 6103, 6108, 6112, 6120, 6124, 6125, 6127, 6132,
                       6135, 6137, 6139, 6143, 6146, 6147, 6160, 6169, 6171, 6172, 6173, 6180, 6185, 6194, 6197, 6204,
                       6207, 6209, 6211, 6212, 6213, 6222, 6229, 6236, 6240, 6242, 6247, 6252, 6257, 6261, 6266, 6268,
                       6269, 6274, 6280, 6292, 6293, 6296, 6298, 6299, 6300, 6308, 6310, 6315, 6322, 6323, 6325, 6333,
                       6337, 6339, 6345, 6346, 6347, 6354, 6356, 6358, 6360, 6362, 6363, 6373, 6375, 6382, 6385, 6388,
                       6392, 6404, 6407, 6410, 6412, 6415, 6418, 6420, 6424, 6427, 6430, 6431, 6434, 6442, 6443, 6448,
                       6452, 6455, 6462, 6467, 6468, 6469, 6476, 6482, 6487, 6489, 6490, 6491, 6493, 6495, 6504, 6511,
                       6514, 6523, 6529, 6537, 6551, 6557, 6562, 6563, 6572, 6578, 6581, 6589, 6590, 6598, 6601, 6603,
                       6605, 6614, 6616, 6617, 6622, 6626, 6630, 6631, 6635, 6642, 6648, 6651, 6653, 6654, 6656, 6657,
                       6662, 6664, 6666, 6667, 6671, 6672, 6673, 6675, 6676, 6677, 6679, 6681, 6684, 6686, 6687, 6696,
                       6697, 6702, 6706, 6709, 6711, 6722, 6724, 6725, 6730, 6733, 6738, 6742, 6743, 6750, 6752, 6754,
                       6755, 6757, 6758, 6762, 6771, 6772, 6776, 6780, 6781, 6788, 6791, 6796, 6797, 6799, 6801, 6802,
                       6804, 6805, 6807, 6809, 6812, 6814, 6815, 6816, 6821, 6822, 6824, 6825, 6831, 6832, 6833, 6836,
                       6838, 6841, 6844, 6845, 6849, 6851, 6852, 6853, 6857, 6864, 6867, 6869, 6871, 6876, 6877, 6898,
                       6900, 6905, 6906, 6907, 6910, 6915, 6916, 6918, 6921, 6922, 6923, 6925, 6935, 6941, 6942, 6945,
                       6948, 6953, 6954, 6955, 6957, 6961, 6962, 6964, 6972, 6977, 6983, 6986, 6987, 6991, 6992, 6997,
                       7000, 7001, 7003, 7004, 7019, 7025, 7028, 7029, 7044, 7049, 7053, 7055, 7064, 7067, 7070, 7071,
                       7074, 7077, 7079, 7082, 7083, 7086, 7088, 7089, 7093, 7094, 7097, 7099, 7104, 7105, 7107, 7110,
                       7111, 7112, 7114, 7123, 7130, 7131, 7137, 7142, 7152, 7154, 7158, 7160, 7162, 7167, 7170, 7171,
                       7172, 7184, 7185, 7188, 7189, 7192, 7198, 7199],
                3607: [3970, 5035, 5392, 5537, 5989, 6515, 6642, 6841, 6886, 6907, 7107, 7166, 7192],
                3610: [3671, 3922, 3983, 4163, 4573, 4980, 5344, 5537, 5897, 6127, 6143, 6360],
                3611: [3824, 3987, 4016, 4184, 4196, 4436, 4569, 5078, 5163, 5916, 6200, 6226, 6390, 6408, 6470, 6656,
                       7101, 7121, 7169],
                3613: [3671, 3852, 3951, 4218, 4355, 4364, 4453, 4676, 4789, 4909, 5282, 5498, 5525, 5754, 5792, 6325,
                       6339, 6360, 6490, 6657, 6684, 7003, 7192], 5381: [5440],
                3617: [3650, 3928, 3929, 4082, 4111, 4195, 4218, 4573, 4576, 4616, 4771, 4909, 5088, 5130, 5282, 5468,
                       5488, 5754, 5904, 5956, 6127, 6194, 6339, 6360, 6657, 6796, 7003, 7049, 7083, 7094, 7172],
                3620: [4704, 5498, 5904, 7172],
                3631: [3765, 3824, 4016, 4184, 5078, 5163, 6200, 6425, 7101, 7121, 7169],
                3632: [3650, 3915, 4195, 5468, 7049], 3633: [6929, 7192], 3635: [4494, 4576, 4789, 5754, 6360, 7093],
                3636: [6194, 6360], 3639: [5438, 6511, 7093], 3641: [3852, 4111, 4355, 5468, 5483, 5754, 5904],
                3642: [3671, 3687, 3692, 3740, 3773, 3796, 3852, 3902, 3904, 3922, 3924, 3928, 3931, 3946, 3949, 3951,
                       3952, 3978, 3980, 3983, 4000, 4002, 4019, 4034, 4037, 4072, 4081, 4105, 4111, 4112, 4117, 4128,
                       4153, 4160, 4163, 4168, 4189, 4190, 4194, 4218, 4241, 4271, 4280, 4288, 4312, 4328, 4338, 4369,
                       4383, 4387, 4401, 4432, 4462, 4494, 4503, 4546, 4553, 4573, 4574, 4576, 4595, 4616, 4619, 4622,
                       4669, 4672, 4673, 4686, 4687, 4703, 4711, 4724, 4728, 4759, 4771, 4773, 4789, 4804, 4826, 4841,
                       4849, 4859, 4870, 4914, 4918, 4927, 4932, 4961, 4980, 5001, 5009, 5017, 5031, 5046, 5069, 5088,
                       5099, 5102, 5130, 5139, 5162, 5189, 5190, 5224, 5232, 5251, 5261, 5311, 5315, 5320, 5329, 5332,
                       5344, 5354, 5361, 5372, 5421, 5432, 5438, 5439, 5455, 5466, 5468, 5475, 5485, 5488, 5489, 5493,
                       5498, 5531, 5538, 5540, 5569, 5585, 5592, 5624, 5633, 5659, 5667, 5678, 5698, 5714, 5728, 5754,
                       5756, 5762, 5774, 5780, 5788, 5800, 5801, 5810, 5827, 5831, 5855, 5869, 5879, 5887, 5892, 5897,
                       5904, 5911, 5938, 5950, 5955, 5956, 5961, 6017, 6021, 6039, 6057, 6071, 6080, 6084, 6101, 6127,
                       6146, 6171, 6185, 6194, 6197, 6211, 6214, 6223, 6229, 6237, 6252, 6266, 6317, 6339, 6345, 6346,
                       6358, 6360, 6375, 6384, 6387, 6410, 6412, 6434, 6450, 6469, 6511, 6517, 6529, 6551, 6581, 6596,
                       6600, 6603, 6611, 6614, 6615, 6617, 6628, 6648, 6656, 6663, 6684, 6697, 6724, 6725, 6733, 6738,
                       6754, 6755, 6762, 6776, 6796, 6797, 6801, 6804, 6808, 6851, 6853, 6905, 6907, 6921, 6923, 6942,
                       6945, 6948, 6955, 6957, 6997, 7030, 7067, 7076, 7079, 7083, 7086, 7093, 7094, 7103, 7123, 7137,
                       7142, 7154, 7160, 7164, 7172],
                3644: [3852, 4168, 4576, 5088, 5130, 5329, 5455, 5592, 5678, 5743, 5754, 6127, 6171, 6346, 6360, 6373,
                       6905, 7093, 7094, 7137, 7172], 3645: [4789, 6127, 6143, 6360], 3651: [5857],
                3652: [3852, 3946, 3951, 4097, 4161, 4218, 4364, 4453, 4494, 4608, 4676, 4771, 4789, 4932, 4951, 5041,
                       5098, 5311, 5498, 5525, 5540, 5659, 5732, 5754, 5773, 5792, 5826, 6143, 6236, 6325, 6339, 6363,
                       6455, 6491, 6562, 6754, 6876, 6921, 7000, 7093], 3655: [4640, 4919, 5282, 5521],
                3656: [4465, 4657, 5280, 5723, 6824], 3658: [3773, 4082, 4218, 5540, 5714, 5897, 6313, 6684, 7049],
                3662: [4153, 5743, 5754, 6455, 7093],
                3663: [3975, 3995, 4097, 4119, 4153, 4218, 4298, 4576, 4608, 4657, 4752, 4789, 5311, 5371, 5732, 5754,
                       5792, 6511, 6537, 6657],
                3664: [3668, 3671, 3676, 3679, 3684, 3700, 3707, 3715, 3732, 3740, 3773, 3775, 3777, 3795, 3814, 3840,
                       3852, 3857, 3872, 3873, 3875, 3891, 3895, 3899, 3904, 3912, 3928, 3929, 3946, 3951, 3952, 3958,
                       3965, 3978, 3980, 3982, 3989, 3995, 3996, 4000, 4002, 4003, 4004, 4006, 4037, 4043, 4045, 4053,
                       4057, 4072, 4074, 4078, 4082, 4089, 4097, 4105, 4111, 4116, 4117, 4119, 4153, 4154, 4155, 4157,
                       4158, 4160, 4161, 4168, 4171, 4189, 4190, 4195, 4203, 4218, 4222, 4227, 4234, 4271, 4280, 4288,
                       4312, 4313, 4322, 4355, 4364, 4369, 4383, 4387, 4453, 4494, 4504, 4516, 4573, 4576, 4582, 4585,
                       4608, 4616, 4652, 4657, 4673, 4676, 4685, 4687, 4690, 4704, 4708, 4711, 4719, 4728, 4752, 4771,
                       4774, 4779, 4783, 4789, 4791, 4795, 4804, 4838, 4841, 4843, 4850, 4857, 4859, 4862, 4870, 4880,
                       4882, 4889, 4898, 4909, 4922, 4932, 4943, 4951, 4957, 4967, 4969, 4980, 5016, 5022, 5033, 5040,
                       5041, 5056, 5057, 5060, 5062, 5078, 5088, 5089, 5098, 5128, 5130, 5139, 5143, 5148, 5171, 5197,
                       5209, 5213, 5224, 5229, 5232, 5252, 5259, 5261, 5280, 5282, 5297, 5311, 5314, 5329, 5341, 5347,
                       5354, 5371, 5373, 5409, 5420, 5438, 5440, 5455, 5456, 5466, 5475, 5483, 5485, 5486, 5488, 5489,
                       5491, 5493, 5494, 5498, 5499, 5523, 5525, 5534, 5536, 5538, 5540, 5582, 5584, 5592, 5609, 5620,
                       5627, 5645, 5653, 5655, 5656, 5659, 5667, 5678, 5714, 5723, 5727, 5732, 5735, 5736, 5741, 5744,
                       5754, 5770, 5773, 5774, 5791, 5792, 5793, 5797, 5801, 5826, 5831, 5863, 5871, 5879, 5882, 5897,
                       5901, 5904, 5907, 5912, 5913, 5930, 5945, 5954, 5956, 5961, 5964, 5966, 5968, 5982, 6004, 6017,
                       6025, 6027, 6030, 6036, 6038, 6071, 6097, 6101, 6121, 6124, 6127, 6129, 6132, 6137, 6139, 6143,
                       6158, 6172, 6185, 6192, 6194, 6197, 6204, 6207, 6222, 6229, 6236, 6257, 6261, 6266, 6268, 6269,
                       6310, 6322, 6327, 6339, 6346, 6360, 6362, 6363, 6373, 6382, 6407, 6410, 6412, 6427, 6431, 6449,
                       6452, 6455, 6457, 6481, 6489, 6490, 6493, 6504, 6511, 6523, 6557, 6562, 6572, 6578, 6603, 6610,
                       6614, 6631, 6642, 6648, 6653, 6657, 6662, 6666, 6667, 6671, 6675, 6697, 6711, 6724, 6733, 6738,
                       6742, 6743, 6752, 6754, 6755, 6757, 6758, 6762, 6772, 6776, 6779, 6781, 6788, 6796, 6802, 6807,
                       6814, 6816, 6819, 6824, 6831, 6832, 6841, 6845, 6848, 6851, 6853, 6867, 6870, 6871, 6898, 6905,
                       6906, 6915, 6919, 6921, 6935, 6942, 6945, 6948, 6955, 6957, 6983, 6986, 6987, 6991, 6992, 6997,
                       7000, 7003, 7025, 7037, 7049, 7067, 7074, 7077, 7083, 7088, 7093, 7094, 7097, 7099, 7104, 7105,
                       7111, 7113, 7137, 7152, 7154, 7160, 7166, 7171, 7172, 7175, 7192, 7198, 7199],
                3665: [3693, 3698, 3844, 3915, 3937, 3950, 4004, 4290, 4365, 4594, 4640, 4698, 4812, 4845, 4933, 4963,
                       5078, 5145, 5150, 5220, 5254, 5271, 5299, 5314, 5364, 5392, 5393, 5521, 5537, 5565, 5665, 5706,
                       5727, 5815, 5832, 5856, 5890, 5908, 6292, 6319, 6383, 6440, 6496, 6509, 6548, 6566, 6672, 6680,
                       6798, 6811, 6812, 6826, 6886, 7049, 7095],
                3666: [3765, 3809, 3824, 3964, 3987, 4137, 4184, 4196, 4214, 4263, 4264, 4304, 4367, 4848, 4881, 5078,
                       5163, 5393, 5916, 6200, 6320, 6390, 6408, 6425, 6470, 6488, 6656, 7101, 7121, 7169],
                611: [1502, 3066, 4387, 6360, 7004], 6073: [6373, 6470, 6656, 7101, 7142, 7169],
                3672: [3698, 3715, 3798, 3808, 3834, 3852, 3857, 3912, 3922, 3928, 3929, 3961, 3980, 3996, 4004, 4036,
                       4050, 4053, 4071, 4074, 4075, 4082, 4083, 4089, 4111, 4115, 4167, 4168, 4190, 4195, 4205, 4248,
                       4285, 4288, 4289, 4304, 4346, 4355, 4438, 4445, 4539, 4573, 4576, 4621, 4673, 4676, 4771, 4800,
                       4859, 4880, 4888, 4889, 4912, 4936, 4943, 4951, 4952, 4987, 5020, 5023, 5026, 5028, 5035, 5057,
                       5060, 5061, 5078, 5130, 5168, 5179, 5187, 5190, 5209, 5224, 5271, 5281, 5287, 5312, 5314, 5355,
                       5392, 5413, 5440, 5454, 5466, 5468, 5473, 5498, 5509, 5525, 5536, 5537, 5538, 5554, 5560, 5584,
                       5597, 5609, 5616, 5647, 5655, 5706, 5714, 5735, 5754, 5770, 5792, 5803, 5806, 5856, 5861, 5869,
                       5897, 5901, 5904, 5908, 5912, 5916, 5923, 5930, 5949, 5954, 5956, 5964, 5966, 5989, 6008, 6014,
                       6063, 6106, 6120, 6124, 6126, 6136, 6138, 6158, 6186, 6217, 6219, 6229, 6236, 6266, 6269, 6311,
                       6312, 6313, 6316, 6335, 6336, 6339, 6340, 6343, 6360, 6363, 6403, 6415, 6417, 6427, 6447, 6449,
                       6455, 6460, 6485, 6487, 6496, 6504, 6505, 6517, 6537, 6540, 6548, 6578, 6583, 6589, 6612, 6618,
                       6636, 6642, 6657, 6666, 6672, 6685, 6698, 6702, 6741, 6752, 6757, 6776, 6791, 6798, 6812, 6815,
                       6818, 6821, 6835, 6841, 6894, 6905, 6906, 6916, 6919, 6923, 6942, 6966, 6972, 6987, 6991, 7002,
                       7003, 7049, 7055, 7069, 7101, 7112, 7115, 7137, 7172, 7181, 7192, 7199],
                3677: [3739, 3773, 3852, 3904, 3946, 4004, 4046, 4074, 4111, 4309, 4312, 4338, 4573, 4640, 4676, 4789,
                       4804, 4857, 4943, 5088, 5098, 5234, 5282, 5483, 5488, 5498, 5525, 5754, 5904, 5907, 5955, 6127,
                       6143, 6194, 6300, 6360, 6482, 6496, 6738, 6853, 6905, 7049, 7094, 7160],
                3680: [4288, 5569, 5609, 5897, 5961, 6360], 3683: [4074, 4573, 5078, 5468, 5655], 615: [2141],
                6397: [6399, 6648, 6824, 7079, 7123, 7154],
                3707: [3852, 4074, 4097, 4364, 4576, 4608, 4789, 4909, 5098, 5282, 5498, 5754, 5792, 6360, 6490, 6657,
                       6935], 3708: [4218, 5525, 6236, 6572, 7093, 7166],
                3710: [4218, 4252, 4608, 5063, 5754, 6511, 6657, 6737, 6878], 3714: [7123, 7172],
                3720: [3852, 3928, 4089, 4111, 4195, 4312, 4369, 4573, 4918, 5130, 5190, 5344, 5468, 5498, 5537, 5538,
                       5540, 5831, 5908, 5961, 6008, 6127, 6172, 6252, 6317, 6346, 6360, 6509, 6648, 6684, 6905, 6907,
                       6935, 7094, 7112, 7158, 7172], 3725: [5078, 5934],
                3729: [3740, 3773, 3775, 3852, 3872, 3875, 3904, 3912, 3929, 3946, 3951, 3958, 3976, 4000, 4002, 4003,
                       4004, 4053, 4072, 4074, 4082, 4097, 4105, 4111, 4116, 4117, 4119, 4148, 4153, 4161, 4167, 4168,
                       4182, 4189, 4195, 4197, 4218, 4280, 4312, 4318, 4326, 4355, 4364, 4369, 4383, 4451, 4453, 4494,
                       4516, 4539, 4545, 4573, 4576, 4608, 4616, 4657, 4673, 4676, 4680, 4704, 4708, 4713, 4771, 4779,
                       4789, 4804, 4850, 4857, 4859, 4869, 4909, 4932, 4936, 4943, 4951, 4952, 4980, 4997, 5016, 5019,
                       5031, 5032, 5056, 5088, 5095, 5098, 5130, 5133, 5143, 5197, 5209, 5232, 5251, 5282, 5314, 5329,
                       5341, 5347, 5383, 5405, 5409, 5438, 5440, 5454, 5455, 5456, 5475, 5476, 5483, 5488, 5493, 5495,
                       5498, 5499, 5525, 5536, 5538, 5540, 5582, 5592, 5604, 5614, 5627, 5633, 5653, 5655, 5656, 5659,
                       5698, 5714, 5732, 5736, 5754, 5773, 5791, 5792, 5801, 5825, 5871, 5897, 5904, 5913, 5923, 5954,
                       5961, 5964, 5982, 5999, 6014, 6016, 6025, 6036, 6038, 6071, 6124, 6127, 6129, 6137, 6139, 6172,
                       6197, 6204, 6207, 6229, 6236, 6266, 6269, 6312, 6317, 6323, 6325, 6327, 6339, 6360, 6363, 6388,
                       6410, 6427, 6431, 6443, 6448, 6455, 6476, 6487, 6490, 6493, 6550, 6557, 6562, 6603, 6617, 6648,
                       6657, 6675, 6684, 6689, 6738, 6742, 6743, 6754, 6757, 6788, 6796, 6799, 6802, 6814, 6824, 6831,
                       6841, 6845, 6846, 6853, 6898, 6905, 6910, 6919, 6921, 6935, 6942, 6945, 6953, 6983, 6990, 6991,
                       7000, 7003, 7049, 7067, 7071, 7079, 7083, 7088, 7093, 7094, 7104, 7111, 7113, 7114, 7117, 7137,
                       7154, 7160, 7162, 7172, 7179, 7185, 7192, 7198, 7199], 3732: [4576, 5754, 6127, 6346],
                3733: [6360, 6905],
                3737: [3775, 4163, 4673, 4859, 4936, 5182, 5743, 5904, 5979, 6020, 6172, 6346, 6383, 6487, 6514, 7137,
                       7172, 7188], 3741: [4573, 4918, 5432, 6360], 3743: [4016], 6535: [7142, 7172],
                3749: [3760, 3772, 3773, 3777, 3779, 3780, 3787, 3795, 3804, 3805, 3808, 3814, 3830, 3834, 3835, 3840,
                       3846, 3851, 3852, 3857, 3867, 3872, 3875, 3879, 3889, 3893, 3894, 3904, 3912, 3916, 3922, 3928,
                       3929, 3931, 3936, 3946, 3951, 3952, 3958, 3961, 3965, 3977, 3978, 3980, 3981, 3982, 3996, 4000,
                       4002, 4003, 4004, 4006, 4035, 4036, 4050, 4053, 4072, 4074, 4075, 4082, 4086, 4089, 4096, 4097,
                       4105, 4111, 4112, 4115, 4116, 4117, 4119, 4120, 4124, 4129, 4133, 4134, 4148, 4153, 4155, 4156,
                       4158, 4160, 4161, 4167, 4168, 4171, 4172, 4182, 4189, 4195, 4203, 4211, 4218, 4222, 4234, 4241,
                       4247, 4248, 4258, 4265, 4271, 4278, 4280, 4283, 4284, 4285, 4288, 4298, 4304, 4312, 4318, 4321,
                       4326, 4335, 4346, 4355, 4359, 4364, 4369, 4374, 4383, 4438, 4445, 4453, 4494, 4512, 4536, 4539,
                       4573, 4576, 4585, 4589, 4605, 4608, 4616, 4619, 4621, 4640, 4657, 4673, 4675, 4676, 4678, 4689,
                       4690, 4698, 4711, 4713, 4724, 4728, 4730, 4739, 4752, 4766, 4768, 4771, 4773, 4783, 4789, 4795,
                       4800, 4804, 4824, 4833, 4837, 4838, 4841, 4850, 4853, 4857, 4859, 4864, 4870, 4880, 4882, 4898,
                       4905, 4909, 4912, 4927, 4932, 4943, 4951, 4952, 4980, 4991, 4995, 5016, 5020, 5022, 5023, 5026,
                       5028, 5040, 5057, 5060, 5061, 5062, 5078, 5083, 5088, 5098, 5101, 5105, 5118, 5130, 5136, 5139,
                       5140, 5143, 5179, 5181, 5182, 5188, 5209, 5213, 5226, 5232, 5234, 5245, 5251, 5259, 5272, 5280,
                       5281, 5282, 5287, 5314, 5317, 5320, 5329, 5355, 5362, 5363, 5368, 5371, 5383, 5409, 5413, 5426,
                       5432, 5437, 5438, 5440, 5454, 5455, 5456, 5459, 5464, 5465, 5466, 5468, 5476, 5483, 5486, 5488,
                       5489, 5490, 5491, 5494, 5495, 5498, 5499, 5504, 5509, 5521, 5525, 5528, 5536, 5538, 5540, 5550,
                       5554, 5560, 5569, 5572, 5582, 5584, 5596, 5604, 5609, 5612, 5614, 5633, 5647, 5653, 5655, 5656,
                       5659, 5667, 5669, 5671, 5678, 5698, 5706, 5712, 5714, 5727, 5728, 5732, 5734, 5735, 5736, 5741,
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                       5825, 5827, 5831, 5835, 5840, 5856, 5858, 5861, 5871, 5878, 5882, 5883, 5887, 5890, 5897, 5900,
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                3788: [3852, 3980, 4074, 4082, 4111, 4195, 4355, 4573, 4826, 5098, 5130, 5440, 5468, 5475, 5483, 5525,
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                       6566, 6684, 6812, 6905, 6907, 7003, 7049, 7171], 3789: [5537],
                3790: [4288, 4387, 4576, 4932, 5261, 5311, 5329, 5656, 5714, 5961, 6360, 6675, 6948, 7093, 7172],
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                       6936, 6942, 7083, 7111, 7123, 7172, 7192], 3845: [4355, 6360],
                3847: [5468, 5536, 5825, 6657, 6757, 6942, 7192],
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                3856: [5344, 5468, 6907],
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                       5775, 5792, 5904, 5964, 6363, 6511, 6603, 6657, 6773, 6788, 6802, 6814, 6824, 6841, 6898, 6929,
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                3875: [4576, 4608, 5754, 5792], 3877: [4228, 6755], 5425: [5609, 6048, 6907],
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                       5536, 5609, 5612, 5620, 5633, 5655, 5659, 5714, 5732, 5770, 5773, 5791, 5792, 5897, 5901, 5904,
                       5908, 5923, 5930, 6021, 6071, 6124, 6127, 6139, 6143, 6236, 6266, 6339, 6346, 6360, 6447, 6455,
                       6468, 6642, 6664, 6666, 6702, 6724, 6752, 6754, 6757, 6776, 6796, 6841, 6905, 6921, 6935, 6942,
                       7003, 7019, 7094, 7105, 7111, 7160, 7172, 7192, 7199], 3887: [5754],
                3888: [5792, 6325, 6562, 6905], 3889: [5468], 5427: [7101], 3893: [5468],
                3896: [4074, 4117, 4494, 4608, 4690, 4789, 4909, 5182, 5314, 5466, 5468, 5540, 5655, 5714, 5754, 5904,
                       6127, 6360, 6563, 6657, 6689, 6754, 6905, 7003, 7093, 7113], 3899: [5754],
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                       6407, 6412, 6490, 6511, 6557, 6657, 6773, 6802, 6824, 6848, 6905, 6935, 6990, 7004, 7113, 7179,
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                       5792, 5904, 5954, 6339, 6490, 6511, 6603, 6657, 6733, 6754, 6788, 6819, 6921, 6942, 6990, 7004,
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                3938: [4046, 4072, 4074, 4218, 4383, 4494, 4573, 4576, 5098, 5130, 5371, 5592, 5655, 5904, 5908, 6657,
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                3942: [3943, 3945, 3948, 3957, 3960, 3966, 3970, 3982, 3985, 3990, 3996, 4003, 4009, 4018, 4020, 4022,
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                       4977, 4979, 5003, 5012, 5023, 5026, 5028, 5029, 5031, 5034, 5037, 5043, 5048, 5052, 5057, 5064,
                       5078, 5090, 5096, 5097, 5104, 5108, 5109, 5111, 5116, 5120, 5155, 5161, 5168, 5179, 5181, 5186,
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