from array import *

bases_32 = array('H', (1216, 1836, 8885, 4564, 10978, 5228, 15613, 13941, 1553, 173, 3615, 3144, 10065, 9259, 233, 2362, 6244, 6431, 10863, 5920, 6408, 6841, 22124, 2290, 45597, 6935, 4835, 7652, 1051, 445, 5807, 842, 1534, 22140, 1282, 1733, 347, 6311, 14081, 11157, 186, 703, 9862, 15490, 1720, 17816, 10433, 49185, 2535, 9158, 2143, 2840, 664, 29074, 24924, 1035, 41482, 1065, 10189, 8417, 130, 4551, 5159, 48886, 786, 1938, 1013, 2139, 7171, 2143, 16873, 188, 5555, 42007, 1045, 3891, 2853, 23642, 148, 3585, 3027, 280, 3101, 9918, 6452, 2716, 855, 990, 1925, 13557, 1063, 6916, 4965, 4380, 587, 3214, 1808, 1036, 6356, 8191, 6783, 14424, 6929, 1002, 840, 422, 44215, 7753, 5799, 3415, 231, 2013, 8895, 2081, 883, 3855, 5577, 876, 3574, 1925, 1192, 865, 7376, 12254, 5952, 2516, 20463, 186, 5411, 35353, 50898, 1084, 2127, 4305, 115, 7821, 1265, 16169, 1705, 1857, 24938, 220, 3650, 1057, 482, 1690, 2718, 4309, 7496, 1515, 7972, 3763, 10954, 2817, 3430, 1423, 714, 6734, 328, 2581, 2580, 10047, 2797, 155, 5951, 3817, 54850, 2173, 1318, 246, 1807, 2958, 2697, 337, 4871, 2439, 736, 37112, 1226, 527, 7531, 5418, 7242, 2421, 16135, 7015, 8432, 2605, 5638, 5161, 11515, 14949, 748, 5003, 9048, 4679, 1915, 7652, 9657, 660, 3054, 15469, 2910, 775, 14106, 1749, 136, 2673, 61814, 5633, 1244, 2567, 4989, 1637, 1273, 11423, 7974, 7509, 6061, 531, 6608, 1088, 1627, 160, 6416, 11350, 921, 306, 18117, 1238, 463, 1722, 996, 3866, 6576, 6055, 130, 24080, 7331, 3922, 8632, 2706, 24108, 32374, 4237, 15302, 287, 2296, 1220, 20922, 3350, 2089, 562, 11745, 163, 11951))
bases_64 = array('H', (1814, 1307, 1714, 6838, 1801, 179, 219, 1317, 6834, 3281, 8345, 4034, 1899, 5746, 4977, 117, 12578, 18141, 4434, 4236, 543, 9046, 4005, 385, 4231, 3425, 859, 1450, 2199, 4262, 7025, 1562, 717, 5611, 5298, 871, 1959, 258, 4543, 8969, 1075, 15030, 21041, 7917, 913, 15929, 3450, 9218, 518, 11775, 7993, 175, 107, 407, 4738, 14388, 86, 6360, 3535, 3818, 8083, 11, 4337, 19601, 32654, 2566, 974, 1549, 5047, 1542, 1941, 3887, 933, 295, 106, 823, 1529, 7999, 8424, 2958, 17995, 1430, 8541, 5213, 341, 13034, 4437, 4058, 21281, 715, 1898, 434, 1298, 8930, 33, 3466, 397, 14181, 2685, 2179, 15160, 271, 175, 5403, 1303, 2091, 4133, 466, 2143, 3908, 2819, 159, 358, 302, 7778, 2001, 1029, 182, 7405, 13580, 26511, 11758, 743, 4841, 12448, 3585, 3123, 1959, 3999, 1906, 597, 8293, 2508, 8231, 8676, 485, 4925, 12605, 22286, 1099, 1385, 382, 10310, 746, 293, 415, 2947, 61, 295, 4797, 11775, 2902, 4254, 12326, 1335, 1541, 17775, 8067, 13739, 4254, 685, 3963, 2258, 3827, 1151, 2962, 1981, 1043, 2910, 8555, 2478, 3181, 1399, 12907, 5843, 2056, 7, 598, 17287, 609, 1823, 9968, 12866, 9614, 1177, 1799, 8135, 8861, 6242, 3655, 8700, 11136, 3693, 229, 6637, 8587, 4915, 820, 6594, 8899, 3012, 833, 5439, 402, 387, 9998, 10074, 401, 9281, 2246, 12470, 7919, 1533, 2725, 947, 6314, 6681, 2733, 10132, 1535, 7066, 17066, 1529, 507, 29293, 5893, 6323, 551, 506, 1686, 394, 2355, 2394, 199, 8744, 3451, 1759, 12630, 8251, 21127, 603, 1349, 16013, 1916, 657, 3143, 10920, 344, 1522, 3123, 10732, 635, 4927, 2641, 2786, 554, 77, 8759, 2047, 8638, 233, 19015, 237, 29990, 4033, 110, 3949, 351, 293, 12792, 2370, 3878, 9235, 1477, 14719, 4439, 4571, 3606, 6895, 1256, 8271, 2189, 73, 1006, 28711, 1970, 8162, 1034, 1258, 3018, 5062, 2381, 1326, 19172, 17936, 17446, 4714, 7939, 975, 11261, 17179, 1138, 9907, 7654, 8844, 213, 3378, 7937, 118, 3421, 1217, 7742, 52, 18125, 381, 1131, 545, 9748, 8528, 1219, 2206, 415, 6235, 50334, 74, 397, 1773, 1150, 16385, 1419, 8899, 811, 3813, 2511, 10359, 17270, 22652, 9646, 34497, 3474, 141, 1554, 1287, 4642, 1571, 934, 2834, 101, 749, 258, 302, 26159, 1291, 5105, 1783, 7310, 415, 1558, 2393, 13393, 263, 1362, 7985, 9569, 8240, 2279, 5018, 8430, 1961, 6005, 17635, 3622, 4213, 36293, 9985, 11, 1254, 2251, 27396, 239, 17364, 3863, 4615, 7899, 3674, 5531, 199, 8996, 1293, 6098, 514, 8538, 17311, 2015, 6226, 4459, 5731, 887, 5449, 8085, 1851, 206, 2925, 8337, 2363, 9490, 1085, 590, 9094, 78, 7190, 2843, 86, 497, 1658, 113, 24990, 5302, 3141, 18856, 16074, 5754, 9497, 1757, 1353, 4013, 3739, 6930, 6179, 813, 6894, 2527, 2218, 14648, 397, 2979, 3074, 2314, 6521, 18390, 2157, 10642, 1177, 5007, 391, 1982, 4373, 26, 1917, 1567, 3091, 22352, 9374, 935, 3263, 8242, 3239, 3558, 18600, 9839, 2440, 5325, 6414, 1303, 2995, 109, 5731, 9966, 1478, 8867, 9094, 284, 433, 1750, 277, 9773, 22660, 181, 127, 279, 641, 851, 199, 539, 1190, 446, 10526, 2566, 677, 127, 2404, 9715, 8319, 15005, 3086, 2779, 3951, 7, 6929, 461, 27337, 8909, 9543, 5150, 6703, 3327, 769, 901, 851, 2227, 819, 1879, 3130, 4927, 2302, 802, 7599, 1163, 71, 33, 925, 5550, 2971, 8201, 23865, 114, 5886, 1145, 19851, 6219, 1877, 613, 827, 11302, 5726, 1237, 769, 590, 9156, 9048, 6049, 7379, 5462, 12522, 5706, 823, 8431, 3349, 1623, 2245, 5198, 1329, 14794, 6193, 2266, 9722, 3716, 10294, 2009, 1193, 233, 3979, 1077, 418, 941, 4613, 8635, 26786, 1507, 8508, 258, 1419, 5225, 7485, 1051, 13020, 31711, 22593, 3331, 3338, 12526, 161, 5338, 7302, 78, 23889, 571, 26734, 8013, 8305, 9053, 1566, 2482, 191, 12703, 1703, 3385, 654, 26390, 3647, 2639, 8498, 3813, 1161, 7777, 117, 2265, 813, 8069, 2053, 2091, 5033, 6637, 8588, 15954, 325, 1713, 9719, 1983, 619, 107, 419, 9104, 9019, 8688, 577, 1773, 237, 3379, 2946, 1151, 13815, 1119, 1393, 11565, 2177, 530, 265, 1663, 4058, 11031, 12256, 2443, 173, 1405, 1258, 8592, 4364, 4883, 1201, 2470, 119, 2775, 37084, 6690, 1067, 10479, 337, 4147, 19565, 853, 4005, 1790, 855, 2329, 481, 585, 2616, 1741, 10908, 17057, 9267, 4403, 10597, 4963, 7154, 3079, 8245, 3271, 10807, 1513, 691, 2821, 5285, 681, 9822, 690, 566, 46, 639, 141, 6706, 9308, 1009, 7433, 24590, 29, 25809, 710, 4839, 2857, 17910, 383, 4630, 2993, 1059, 39, 13218, 10597, 6607, 3466, 3029, 8639, 1646, 8895, 231, 4885, 3305, 5734, 10310, 5954, 7773, 3329, 587, 14302, 9806, 2130, 189, 1267, 7397, 12364, 953, 299, 5297, 3354, 1921, 2486, 6827, 2202, 2369, 15279, 871, 713, 8273, 1227, 9691, 3475, 469, 865, 2230, 353, 6249, 9310, 1546, 38417, 2199, 1789, 9051, 6555, 3766, 1701, 10210, 1270, 3279, 8620, 3039, 929, 2029, 618, 6641, 7122, 4215, 34, 89, 5251, 1293, 6401, 409, 537, 935, 26421, 2882, 4129, 55, 7427, 369, 12218, 9918, 1870, 4888, 1449, 1430, 4430, 5291, 1699, 2074, 67, 12096, 6687, 8414, 573, 2803, 887, 2435, 1138, 2413, 4129, 205, 2190, 1654, 3697, 3170, 3538, 1574, 555, 1338, 2822, 1077, 610, 8391, 1539, 11, 6637, 1053, 179, 698, 1495, 1217, 1436, 9935, 778, 310, 801, 718, 1066, 3066, 261, 839, 651, 3293, 20997, 8527, 8721, 2146, 37272, 3607, 9206, 698, 9983, 28805, 221, 3686, 11549, 348, 181, 1293, 3846, 2717, 6926, 5133, 137, 1785, 9727, 2325, 2723, 8678, 607, 3010, 8749, 8855, 10668, 2675, 301, 7899, 8191, 9141, 6622, 9435, 1579, 1539, 3261, 5773, 218, 1654, 4466, 739, 3366, 2047, 557, 3189, 7558, 2867, 2810, 3842, 1663, 4635, 34027, 269, 9256, 3533, 4074, 1022, 3365, 1633, 15096, 8323, 9249, 1767, 1326, 39, 9211, 165, 8797, 9519, 1006, 5738, 18521, 323, 1746, 10996, 1517, 8204, 6547, 4359, 1834, 2966, 716, 715, 2470, 1443, 8518, 2938, 1962, 2387, 10961, 851, 5533, 553, 5150, 934, 554, 157, 4429, 15949, 2194, 1657, 1449, 7391, 377, 2065, 3307, 6695, 2731, 1141, 813, 3238, 8318, 2255, 9003, 618, 3697, 24981, 4401, 1523, 219, 721, 6284, 6220, 7747, 333, 12835, 5619, 949, 4346, 1206, 846, 8063, 6167, 1383, 6843, 10299, 3085, 9018, 277, 221, 12774, 1173, 1926, 21591, 4182, 2194, 8223, 3983, 550, 2254, 8371, 606, 1202, 29, 1273, 6557, 8808, 7918, 3797, 2941, 1566, 15003, 1955, 2796, 2583, 233, 10105, 1418, 2889, 24939, 9590, 3573, 613, 70, 247, 934, 1822, 895, 4197, 30570, 8511, 9367, 11295, 4715, 3145, 3103, 57, 5810, 11354, 6406, 1111, 30851, 2838, 2639, 8673, 18562, 2999, 9448, 11625, 1773, 9272, 13946, 1498, 4613, 21674, 30566, 5053, 11644, 3701, 2654, 4693, 19, 1986, 14647, 1615, 1711, 1259, 4569, 2798, 1070, 25016, 1461, 358, 1457, 807, 1018, 9256, 1249, 9589, 8615, 2290, 2073, 21, 1363, 321, 3059, 6965, 865, 12695, 287, 4322, 6173, 8206, 1967, 457, 59, 1417, 15449, 5635, 2734, 5122, 1630, 1115, 4194, 3458, 10494, 5373, 2266, 7884, 8637, 6114, 8655, 4279, 6438, 1383, 3838, 2078, 1721, 2485, 2447, 541, 8289, 2291, 221, 138, 567, 7194, 1141, 1941, 1311, 1522, 1687, 3510, 2446, 8578, 10349, 25626, 32066, 1654, 413, 129, 11851, 4902, 547, 2014, 4427, 11738, 1661, 2081, 10933, 3226, 438, 4433, 4679, 339, 617, 9451, 6134, 6822, 8957, 5171, 14095, 11767, 2697, 3351, 9461, 2207, 1501, 930, 617, 435, 8966, 3185, 6603, 10993, 908, 881, 1033, 254, 1538, 1383, 7890, 1489, 18615, 1070, 20332, 3867, 5666, 1513, 2661, 7297, 3263, 37879, 5883, 11163, 1081, 2589, 5033, 10067, 56007, 8629, 53493, 5443, 5749, 3982, 791, 5573, 3967, 549, 3371, 727, 6788, 4382, 607, 4111, 2837, 4565, 2273, 2567, 286, 39, 1441, 4254, 27375, 5061, 442, 3597, 8308, 8035, 3041, 967, 27275, 1939, 1034, 1038, 913, 4649, 426, 87, 36883, 4918, 2381, 478, 3965, 883, 3855, 4366, 7214, 3562, 681, 763, 8538, 1229, 3223, 5371, 773, 1825, 2061, 446, 629, 8832, 2269, 3393, 6712, 9365, 11001, 1459, 9795, 1247, 1966, 1117, 717, 1547, 19975, 3428, 253, 421, 10245, 933, 926, 3789, 3351, 5138, 262, 2193, 1910, 1183, 193, 1497, 151, 1343, 7343, 2817, 351, 1767, 6540, 6179, 1983, 2985, 14, 2811, 17706, 1271, 737, 10887, 305, 2794, 4717, 12567, 1507, 17602, 1523, 5209, 463, 8866, 11923, 4955, 5265, 5288, 6043, 5641, 595, 282, 446, 6497, 911, 1661, 6946, 609, 8322, 457, 3393, 7889, 649, 5663, 2237, 8149, 5867, 1249, 7135, 1079, 17165, 32290, 26529, 26547, 483, 4357, 4110, 1893, 4482, 1930, 3294, 9811, 35577, 2541, 11035, 1091, 129, 513, 445, 12330, 3553, 2689, 9003, 29917, 23793, 8814, 8380, 738, 6846, 1693, 127, 2667, 5245, 787, 2058, 217, 1073, 462, 311, 5087, 10108, 291, 2431, 951, 41, 16869, 9010, 10398, 1531, 4053, 2456, 727, 4636, 2689, 1526, 2126, 3736, 279, 4038, 1005, 2186, 9358, 5537, 3729, 693, 530, 749, 4379, 1583, 34038, 2590, 457, 311, 3077, 12423, 1006, 1923, 3071, 811, 10642, 8501, 4835, 1735, 9606, 35324, 85, 8232, 2425, 177, 8384, 933, 341, 2481, 2017, 3694, 1381, 131, 713, 4213, 13802, 959, 1343, 3674, 325, 4090, 265, 1147, 4209, 785, 1970, 110, 4262, 297, 6074, 4769, 5299, 2309, 4433, 3833, 17427, 6914, 9188, 2246, 7726, 8747, 7501, 10637, 278, 655, 10539, 349, 414, 2871, 31558, 3958, 10727, 3338, 1703, 11716, 22687, 8919, 17340, 2461, 231, 1994, 797, 12341, 307, 5114, 691, 20111, 532, 2286, 12881, 4121, 2453, 874, 2947, 5494, 1866, 2543, 665, 3864, 1581, 11513, 35676, 4961, 2715, 447, 73, 5211, 818, 4286, 5691, 6021, 466, 5606, 1077, 5970, 1293, 4499, 11210, 2006, 9794, 1141, 4861, 21132, 1068, 2033, 251, 6987, 5718, 3218, 629, 755, 453, 3259, 457, 5181, 6482, 25951, 8372, 233, 1397, 511, 7157, 10090, 8219, 10289, 9257, 29842, 670, 4025, 2471, 35572, 1035, 354, 831, 1713, 2215, 3393, 16440, 16076, 32137, 2806, 723, 1223, 2007, 137, 463, 38, 1195, 3566, 1462, 33400, 101, 785, 89, 6471, 3595, 187, 7006, 3323, 322, 20079, 413, 3115, 12292, 575, 2635, 5479, 9336, 5319, 10302, 1801, 2925, 1530, 1139, 6043, 5654, 565, 6333, 842, 67, 16995, 3923, 9546, 1697, 4877, 239, 55, 5989, 9439, 366, 3723, 839, 3097, 10983, 395, 4135, 40693, 619, 1310, 19017, 7057, 9101, 7513, 2173, 1314, 9023, 13279, 281, 82, 1007, 8011, 706, 3061, 6470, 7503, 1547, 33138, 183, 345, 2533, 118, 10472, 563, 505, 11464, 5123, 8943, 4149, 2203, 489, 2511, 682, 8525, 4387, 1127, 4066, 14636, 2982, 5560, 2310, 7825, 497, 2938, 3787, 1306, 3791, 10147, 215, 9734, 12660, 1397, 1079, 1907, 10889, 97, 11659, 3126, 8857, 2495, 1895, 8348, 1209, 42, 4622, 11471, 313, 1022, 1185, 1039, 5813, 15838, 2995, 7481, 8107, 2118, 8554, 117, 13263, 1122, 38, 6378, 767, 7859, 1361, 1854, 9849, 26881, 1763, 2830, 6158, 1041, 1789, 1939, 756, 1075, 239, 1054, 1823, 50612, 11794, 19210, 6947, 33782, 4174, 5451, 786, 2006, 2653, 1909, 963, 14187, 2429, 1199, 2971, 11327, 2971, 4419, 31837, 195, 2493, 2237, 509, 119, 1023, 11335, 6753, 6021, 8385, 1474, 11087, 8289, 237, 3473, 998, 19, 1106, 13188, 159, 413, 2579, 8123, 4488, 1839, 1770, 3765, 1842, 237, 1026, 5031, 23543, 5823, 6053, 295, 1930, 1685, 2193, 4344, 5410, 1097, 4995, 3765, 3055, 13144, 1283, 2734, 1147, 9486, 17, 1339, 3065, 7703, 3295, 5405, 1071, 617, 938, 2505, 437, 3921, 671, 5842, 12540, 3681, 11, 5790, 534, 3755, 313, 1334, 6903, 4343, 1101, 7133, 885, 6518, 6879, 4589, 469, 1625, 1774, 737, 15813, 13743, 266, 775, 131, 2799, 97, 1845, 5810, 593, 10268, 4270, 3309, 6339, 2702, 9644, 1209, 1073, 7107, 2903, 253, 1978, 643, 3573, 233, 5741, 4018, 3811, 326, 5714, 1574, 6794, 122, 843, 661, 1771, 2651, 2858, 16330, 4957, 8522, 5097, 2353, 1022, 5733, 3676, 7539, 609, 1351, 78, 2735, 971, 1931, 2539, 4190, 1782, 8817, 3710, 4515, 3725, 7182, 5795, 13535, 4921, 9587, 1785, 9627, 2295, 5750, 2849, 1537, 23868, 327, 899, 9475, 10305, 241, 5939, 4223, 3187, 171, 4191, 3480, 530, 5411, 674, 2931, 679, 15237, 1378, 1426, 1714, 33684, 3330, 2195, 14478, 27430, 1275, 4773, 1117, 8516, 415, 1441, 5859, 8501, 547, 1108, 13905, 1422, 8908, 5698, 10789, 1779, 1385, 2635, 14718, 10378, 6153, 2606, 9453, 2246, 7302, 493, 10989, 21648, 1127, 8798, 24057, 330, 1487, 8675, 739, 1811, 4445, 3301, 3065, 5115, 1415, 7959, 267, 3129, 14051, 6209, 382, 12483, 522, 1113, 10089, 9521, 495, 6150, 11568, 3754, 13268, 377, 5559, 933, 3819, 1205, 1077, 8766, 2076, 9137, 31061, 1954, 53, 5651, 4578, 9272, 11578, 497, 309, 747, 6139, 8729, 10329, 4226, 563, 59, 3143, 9909, 2246, 1727, 39, 17041, 9150, 51, 629, 8416, 7, 1287, 781, 7213, 16098, 9173, 965, 2581, 558, 467, 2525, 6350, 8344, 4895, 2474, 119, 875, 1261, 753, 9806, 15075, 16324, 9171, 1286, 2177, 9456, 5126, 18290, 1771, 6631, 21720, 8167, 4961, 6151, 5018, 33874, 8865, 4519, 7159, 1447, 4395, 3021, 327, 3634, 1002, 7650, 3822, 6341, 2194, 1275, 391, 4459, 7047, 3450, 4442, 36922, 12597, 493, 33779, 825, 5291, 914, 8348, 1765, 1589, 222, 5454, 1971, 1163, 1686, 8996, 12473, 15722, 8998, 175, 15597, 24939, 1651, 7307, 19984, 9696, 8462, 39, 1367, 1613, 5949, 14266, 1082, 1883, 40249, 2402, 2015, 598, 595, 22769, 9766, 1577, 3587, 2687, 4298, 1282, 17860, 4337, 3388, 9544, 9354, 4267, 431, 3235, 215, 3639, 2697, 8034, 739, 3783, 6515, 8602, 4357, 9085, 1046, 9463, 10105, 230, 233, 708, 3571, 958, 663, 9174, 26220, 1573, 939, 1001, 30407, 30199, 1398, 1793, 297, 8259, 788, 1354, 714, 10163, 9262, 1334, 3673, 3162, 262, 2351, 2454, 634, 9888, 395, 3559, 3582, 447, 4889, 665, 549, 7653, 26390, 2295, 24008, 1633, 9844, 12067, 12190, 7551, 783, 1117, 1013, 1037, 4387, 3831, 1138, 2870, 186, 697, 463, 42723, 1145, 553, 3938, 6759, 8930, 2799, 36308, 36438, 2725, 42, 1239, 173, 4602, 2487, 1617, 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8726, 7727, 1147, 2503, 2573, 2930, 5627, 4105, 7385, 4634, 402, 8517, 1578, 10040, 3003, 725, 111, 8519, 477, 271, 1235, 4111, 9612, 1480, 546, 699, 3842, 1927, 3321, 201, 9133, 1033, 1286, 9715, 13596, 11580, 2717, 11271, 533, 8167, 5306, 8220, 1338, 4115, 3517, 6905, 28417, 2175, 3757, 3207, 5791, 5826, 1023, 797, 2323, 7595, 2071, 761, 7636, 7447, 4799, 1057, 470, 2329, 2006, 201, 635, 538, 1679, 371, 5579, 1140, 1097, 1299, 6481, 11547, 12056, 14638, 25754, 1529, 1146, 11408, 715, 428, 983, 3053, 2886, 2527, 6702, 542, 11825, 7373, 3133, 638, 1337, 977, 1053, 9042, 22742, 1873, 8707, 309, 1937, 4137, 253, 2991, 919, 1203, 1955, 4754, 6829, 9052, 351, 801, 2405, 17945, 3081, 5098, 8528, 342, 5995, 17229, 10371, 1117, 15692, 5642, 3405, 6477, 4893, 7035, 873, 8316, 3314, 1077, 1037, 1081, 1591, 9941, 4978, 1191, 635, 11027, 3955, 2959, 2466, 16160, 433, 861, 5982, 1477, 142, 1407, 14880, 241, 455, 1410, 3749, 3005, 366, 847, 10527, 777, 7715, 9691, 3541, 46, 2007, 1793, 1115, 222, 8421, 4325, 2227, 133, 569, 4701, 3349, 1122, 9930, 8196, 191, 2314, 2461, 655, 2049, 319, 9320, 634, 1199, 22, 2049, 8747, 10096, 1489, 10390, 3142, 1593, 1341, 10033, 1230, 1791, 1738, 1522, 10984, 3194, 14522, 2927, 1733, 1093, 13680, 1469, 907, 990, 4822, 403, 1743, 620, 9855, 1953, 5030, 1327, 8635, 3065, 2989, 5157, 2797, 8637, 4377, 759, 1174, 517, 5307, 1626, 7422, 4195, 14469, 2086, 6205, 20548, 5369, 478, 8792, 63, 2387, 11896, 689, 1743, 4897, 15664, 593, 5794, 70, 1046, 3277, 998, 6585, 6402, 7550, 3377, 13446, 6297, 3813, 3063, 4607, 42559, 701, 1914, 9970, 3631, 287, 573, 1597, 1491, 3873, 1794, 1271, 5611, 2150, 153, 5691, 5039, 325, 1142, 2253, 62, 2050, 1142, 18879, 95, 4515, 523, 4967, 3725, 9098, 18274, 2290, 2871, 633, 14582, 269, 7923, 8149, 3053, 1982, 2039, 15796, 2983, 12818, 498, 2834, 2665, 2158, 426, 1938, 6567, 466, 82, 18667, 909, 15857, 2035, 291, 241, 654, 31194, 167, 349, 819, 4809, 12879, 9479, 386, 1750, 3283, 141, 2427, 2873, 1449, 9942, 154, 987, 4365, 3967, 11048, 659, 2827, 6573, 2121, 22450, 8014, 5939, 1107, 1491, 1069, 1147, 22, 3334, 5273, 13168, 5217, 78, 2889, 8742, 166, 677, 249, 246, 1240, 3954, 7174, 12082, 4307, 12917, 823, 821, 3686, 593, 28979, 5650, 9321, 12380, 997, 950, 3043, 1813, 4593, 7292, 1737, 309, 3399, 3955, 11160, 8434, 6302, 2918, 31003, 5181, 5146, 459, 1633, 1787, 2339, 3047, 14577, 36985, 1983, 4757, 1699, 24406, 3819, 2654, 433, 1015, 12878, 1302, 10336, 1741, 3373, 7170, 5785, 1053, 13374, 11913, 533, 941, 599, 5086, 9586, 2747, 4458, 1666, 11487, 5645, 40577, 7163, 9925, 279, 2009, 407, 2693, 9102, 5273, 10107, 1422, 115, 12049, 119, 11801, 341, 9129, 8514, 1614, 1043, 2349, 366, 903, 3702, 3609, 2705, 2328, 1414, 2293, 2727, 2113, 3127, 19308, 2329, 1023, 10175, 925, 8544, 4115, 2194, 1359, 9252, 138, 817, 7897, 918, 323, 8530, 2829, 1751, 5581, 25658, 1517, 445, 2397, 163, 241, 14777, 171, 2782, 3930, 39974, 1277, 318, 12735, 12044, 4934, 2323, 6697, 698, 6036, 4694, 5269, 587, 8445, 2218, 4630, 1954, 3981, 8067, 8187, 4522, 1041, 10402, 37117, 1182, 1543, 11430, 9242, 834, 3537, 11522, 33957, 4995, 491, 2279, 4122, 637, 8722, 3317, 6163, 1349, 455, 843, 995, 681, 42, 1783, 959, 3095, 1469, 28598, 9902, 5909, 1163, 8572, 1722, 566, 9001, 2725, 3226, 7830, 2051, 1354, 1151, 8228, 1735, 19522, 6446, 178, 1223, 5197, 51, 1074, 893, 381, 5286, 8925, 27691, 681, 1239, 9390, 1159, 7178, 598, 10187, 10721, 12067, 891, 9191, 783, 2377, 2889, 137, 5050, 2581, 394, 5383, 1110, 6173, 9401, 9059, 1275, 10477, 2108, 2211, 510, 8195, 4039, 13323, 4398, 4829, 1828, 5146, 5553, 9105, 209, 9466, 201, 941, 8550, 3713, 2761, 12454, 3582, 3270, 15090, 3446, 8658, 7411, 2694, 419, 9631, 8598, 5405, 911, 2447, 2630, 5381, 2755, 4395, 3385, 8224, 3201, 10432, 2437, 4091, 8499, 2335, 777, 20517, 643, 2641, 5426, 2302, 1266, 386, 1115, 2494, 165, 2802, 4617, 695, 1625, 922, 701, 1757, 8954, 510, 2072, 4207, 1966, 7815, 914, 26081, 2099, 917, 4625, 6695, 7186, 6210, 117, 5026, 1271, 5254, 1715, 4462, 5370, 8965, 1593, 1116, 2115, 673, 1307, 62, 3722, 4870, 1913, 253, 8632, 550, 876, 205, 943, 20717, 1486, 1779, 3334, 3878, 1266, 499, 7989, 15711, 7187, 4325, 8247, 658, 5398, 2698, 3269, 1706, 5141, 30431, 1649, 1094, 13996, 3847, 4390, 3694, 15908, 17573, 20205, 2870, 14429, 2837, 383, 2124, 2607, 5042, 5186, 1502, 2006, 8628, 2963, 2653, 442, 1579, 1353, 3183, 893, 3977, 8346, 11853, 714, 417, 466, 762, 967, 495, 275, 10096, 3197, 3982, 1911, 2821, 21737, 2510, 9330, 1671, 6513, 8563, 6061, 2022, 2153, 4302, 8330, 1195, 5967, 10342, 543, 766, 519, 2371, 511, 417, 1446, 14731, 389, 2687, 431, 319, 117, 561, 638, 2563, 4293, 1303, 1289, 5850, 467, 2709, 1828, 154, 24097, 419, 178, 2094, 587, 653, 9920, 6697, 3799, 3747, 323, 1437, 2619, 1630, 1379, 924, 3523, 8811, 1134, 1299, 991, 1659, 11179, 3105, 34590, 8896, 362, 2595, 1254, 1393, 379, 6677, 571, 155, 379, 4726, 501, 1186, 1025, 447, 10505, 975, 754, 1386, 2117, 20220, 5143, 7843, 2795, 3011, 713, 389, 1101, 767, 1116, 447, 1307, 2059, 4058, 3598, 610, 2921, 2353, 166, 4433, 199, 1477, 4025, 9850, 301, 5006, 14630, 693, 10889, 12815, 151, 2526, 4595, 1159, 4087, 1795, 7707, 30981, 10557, 10197, 5281, 6233, 7310, 1823, 2131, 4621, 2283, 3510, 1310, 1449, 4606, 2231, 326, 2062, 9019, 10527, 3577, 6812, 4229, 323, 669, 2413, 3601, 4041, 2151, 8904, 10171, 5683, 1349, 2763, 7486, 1189, 771, 1139, 3803, 12249, 431, 13170, 1091, 37694, 3891, 9607, 2221, 5779, 7870, 11678, 998, 969, 2133, 8933, 14255, 11624, 2465, 15753, 2838, 4187, 3367, 1286, 5679, 2186, 715, 2143, 998, 342, 751, 12177, 6259, 1302, 571, 8110, 7923, 12334, 8286, 1113, 1222, 8769, 371, 876, 7991, 2706, 4717, 2705, 541, 394, 1883, 7507, 643, 835, 357, 929, 8694, 8122, 1973, 2503, 357, 130, 937, 8681, 975, 91, 123, 13290, 4583, 2078, 3270, 2682, 8936, 8249, 1775, 8519, 1439, 6295, 4151, 10817, 8942, 3263, 18933, 1293, 183, 4601, 9155, 5481, 481, 39192, 358, 16721, 419, 2142, 4135, 16945, 10998, 6490, 1175, 8490, 846, 6409, 12493, 23326, 2899, 415, 36491, 13051, 866, 161, 22, 2150, 849, 4670, 3849, 489, 833, 549, 5675, 14716, 8764, 1685, 161, 4785, 30101, 1067, 635, 126, 1387, 5495, 985, 1942, 166, 453, 2101, 8602, 1389, 6802, 193, 4307, 1302, 6233, 3138, 1199, 3111, 10278, 2852, 8693, 13152, 10313, 10246, 66, 554, 1941, 8070, 5726, 9988, 1997, 693, 2405, 549, 350, 11750, 5111, 6237, 5873, 4531, 1289, 1709, 2238, 831, 202, 2893, 1726, 47, 23812, 1553, 1053, 2927, 635, 5906, 4088, 1084, 7304, 7714, 1363, 3417, 2427, 3119, 7934, 4549, 2271, 1330, 1483, 650, 223, 649, 7917, 3966, 7318, 411, 8992, 2455, 1135, 4953, 919, 2130, 610, 1844, 137, 403, 3757, 9114, 1366, 646, 8467, 7277, 7171, 2442, 93, 857, 895, 2134, 38617, 11100, 12622, 67, 3883, 5807, 743, 5005, 731, 10084, 69, 46255, 865, 6671, 1071, 3798, 1855, 1426, 3361, 571, 2697, 161, 286, 497, 2207, 2038, 2015, 12745, 10440, 313, 1443, 8753, 11702, 267, 7226, 27666, 398, 1309, 170, 10128, 1398, 1839, 8276, 3414, 55, 3107, 3154, 2405, 1814, 8903, 4845, 1417, 1667, 2427, 549, 818, 475, 1499, 1169, 767, 537, 1697, 2386, 2075, 3673, 1871, 9379, 1938, 3229, 1237, 222, 209, 5473, 5589, 4397, 9112, 5233, 12487, 1835, 149, 7860, 5289, 10055, 4185, 53, 1394, 2265, 2610, 6079, 8316, 13263, 3475, 9011, 22, 159, 6061, 82, 2361, 349, 25061, 10631, 2375, 10013, 9529, 10695, 17510, 231, 9334, 1798, 1263, 4233, 1565, 23669, 930, 1958, 4258, 1674, 6817, 33844, 2653, 5899, 749, 1627, 639, 4551, 2575, 11826, 2063, 8731, 1695, 514, 339, 233, 3975, 1795, 7759, 1851, 1463, 3431, 1310, 4105, 4382, 3243, 9196, 4133, 14732, 1146, 4154, 3782, 1494, 1370, 2986, 5165, 12898, 2091, 143, 11820, 22253, 874, 3347, 14570, 13432, 29171, 581, 12929, 770, 9338, 3913, 2067, 466, 1442, 1065, 10328, 3273, 197, 4811, 8897, 5417, 1769, 206, 119, 3406, 6754, 309, 3909, 646, 3677, 3514, 8797, 1435, 301, 9215, 3730, 7282, 165, 3381, 303, 6369, 2627, 115, 761, 3695, 1233, 1297, 1803, 1130, 122, 511, 58, 6426, 1389, 1433, 9102, 943, 2795, 13162, 9905, 899, 9740, 8719, 517, 5115, 4977, 1486, 8259, 7163, 13549, 7561, 305, 119, 973, 7698, 5619, 5326, 5772, 32611, 8846, 1709, 4641, 782, 2503, 3905, 4051, 4923, 165, 16132, 16827, 1913, 6590, 322, 741, 522, 7666, 1655, 5087, 468, 8541, 1169, 4455, 22993, 2801, 6623, 446, 1979, 10923, 3503, 32053, 523, 5721, 9608, 955, 11766, 49919, 1982, 66, 3347, 9508, 439, 145, 5697, 1026, 1569))

with open('bases_32', 'wb') as b32: bases_32.tofile(b32)
with open('bases_64', 'wb') as b64: bases_64.tofile(b64)