SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids sequencelengths 1 2.05k	attention_mask sequencelengths 1 2.05k
[ 540, 10060, 321, 15085, 269, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 4178, 269, 2006, 1771, 13231, 344, 7666, 728, 2593, 270, 1873, 582, 20400, 6361, 10595, 850, 591, 21867, 4586, 298, 327, 15401, 599, 10045, 267, 589, 269, 630, 1001, 278, 267, 5437, 476, 1626, 1040, 1215, 10060, 321, 15085, 1786, 14954, 513, 6793, 6940, 6125, 269, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 4178, 3052, 2240, 321, 714, 2593, 270, 14835, 270, 6011, 3613, 16808, 15085, 1532, 4319, 539, 268, 17641, 518, 1606, 7739, 1464, 1532, 1180, 4586, 17556, 1597, 9149, 269, 630, 1001, 280, 267, 5147, 476, 276, 1040, 1772, 10060, 321, 15085, 2965, 3978, 827, 2825, 6940, 286, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 750, 2358, 16691, 270, 1001, 280, 270, 5881, 270, 4962, 270, 529, 3613, 16808, 15085, 19840, 1302, 1606, 518, 1190, 268, 12671, 10276, 16652, 1606, 7739, 1464, 270, 4586, 306, 7739, 3315, 9455, 269, 630, 1001, 280, 1040, 5822, 6261, 691, 344, 32722, 10060, 321, 15085, 20885, 20607, 269, 9815, 3315, 9455, 5822, 6261, 691, 344, 32722, 5623, 563, 2171, 723, 936, 476, 5611, 267, 1822, 266, 1353, 6054, 547, 948, 596, 2529, 793, 5455, 585, 17676, 0, 296, 1869, 3314, 1250, 1101, 3440, 9226, 630, 23911, 1036, 3780, 1916, 296, 1185, 2907, 6854, 513, 1906, 15315, 267, 855, 789, 941, 782, 3833, 562, 2089, 344, 269, 1924, 267, 594, 729, 3833, 6126, 547, 4584, 909, 513, 3440, 9226, 267, 607, 519, 2249, 568, 4583, 585, 1373, 9543, 563, 4002, 519, 1259, 1753, 689, 519, 4620, 4558, 267, 594, 11074, 547, 4584, 909, 1250, 2370, 11078, 689, 1153, 269, 594, 729, 865, 9599, 827, 1250, 1007, 3440, 9226, 602, 594, 3576, 519, 13131, 856, 543, 3323, 10213, 1200, 782, 827, 621, 563, 2108, 19284, 1082, 824, 15315, 2223, 594, 2909, 13949, 267, 968, 10472, 835, 568, 1360, 512, 877, 269, 769, 1249, 267, 3440, 533, 2814, 976, 616, 4440, 835, 540, 519, 23984, 652, 2249, 538, 519, 702, 331, 2507, 7536, 3719, 1354, 594, 1223, 9096, 519, 4845, 267, 519, 13131, 13351, 856, 543, 3787, 803, 2047, 593, 519, 9224, 563, 2005, 729, 513, 1360, 5634, 11116, 267, 855, 621, 6026, 803, 513, 1360, 1271, 3992, 827, 15315, 912, 11854, 2886, 1419, 8858, 3376, 21274, 267, 855, 1142, 3662, 568, 606, 1367, 267, 609, 922, 1378, 18144, 267, 2392, 850, 2388, 267, 543, 2115, 269, 5901, 713, 538, 2247, 607, 649, 1865, 3440, 533, 2814, 976, 538, 519, 1739, 9433, 269, 634, 1416, 20786, 5941, 786, 6157, 960, 585, 519, 5354, 540, 3440, 533, 2814, 976, 269, 1809, 596, 3580, 12212, 723, 547, 1118, 11941, 547, 2327, 606, 1367, 13131, 29263, 563, 3383, 267, 621, 568, 1271, 547, 1451, 782, 596, 666, 827, 3440, 533, 2814, 976, 1354, 596, 6718, 835, 269, 901, 786, 2285, 596, 519, 1655, 4960, 540, 5329, 707, 1007, 4620, 2635, 543, 6126, 563, 7069, 3355, 18941, 729, 2953, 1107, 3440, 533, 2814, 976, 616, 3335, 1360, 2703, 850, 15315, 269, 1717, 267, 602, 1880, 3440, 9226, 1131, 979, 593, 547, 11116, 803, 585, 1296, 267, 18445, 602, 596, 723, 547, 581, 4712, 585, 4376, 950, 5329, 891, 15813, 2831, 563, 30761, 623, 2814, 976, 281, 16797, 12700, 454, 6524, 649, 2007, 2620, 883, 519, 7350, 267, 2623, 543, 1416, 540, 3440, 533, 2814, 976, 267, 1577, 779, 2689, 513, 1906, 540, 519, 1034, 1271, 5013, 827, 519, 2249, 912, 268, 11831, 533, 2814, 976, 616, 5065, 547, 7262, 543, 3844, 4000, 267, 1141, 789, 5097, 9468, 26377, 543, 1930, 7733, 563, 268, 6145, 1034, 824, 533, 2814, 976, 267, 3440, 533, 2814, 976, 616, 27248, 2831, 945, 616, 3335, 1034, 3742, 693, 3781, 563, 268, 11831, 533, 2814, 976, 616, 711, 9006, 10535, 282, 789, 6146, 741, 10352, 3842, 1526, 9689, 563, 268, 11831, 533, 2814, 976, 267, 899, 782, 824, 533, 2814, 976, 267, 723, 8143, 13364, 1472, 741, 28182, 267, 799, 5512, 873, 547, 3713, 3002, 563, 268, 1323, 4212, 2000, 11691, 2249, 267, 3440, 533, 2814, 976, 3335, 3132, 476, 273, 547, 476, 1015, 5798, 829, 1032, 563, 268, 11831, 533, 2814, 976, 946, 513, 4999, 540, 3742, 21786, 1782, 543, 5605, 2313, 2553, 547, 7001, 10352, 563, 268, 1403, 12219, 676, 513, 23246, 267, 3440, 533, 2814, 976, 786, 1419, 5066, 883, 513, 9395, 3440, 547, 2149, 741, 2212, 543, 8405, 563, 268, 4014, 789, 616, 5097, 18714, 15315, 267, 3440, 533, 2814, 976, 12212, 18214, 4054, 543, 26965, 563, 268, 4107, 3440, 533, 2814, 976, 616, 804, 611, 538, 513, 5266, 8984, 4806, 1500, 909, 540, 3109, 267, 6960, 543, 15454, 18565, 267, 855, 789, 1869, 8858, 3833, 513, 3787, 540, 1367, 8390, 563, 30761, 5124, 22845, 454, 30761, 533, 2814, 976, 723, 519, 1482, 2596, 1560, 1544, 607, 1034, 824, 533, 2814, 976, 267, 855, 789, 849, 8858, 513, 1906, 2934, 602, 616, 2189, 547, 519, 2249, 563, 2690, 1383, 267, 3440, 533, 2814, 976, 723, 5266, 5394, 4703, 3448, 547, 741, 3259, 269, 1717, 267, 789, 5749, 1406, 607, 726, 2794, 607, 1973, 630, 23911, 1490, 784, 619, 2742, 328, 264, 610, 2110, 26904, 533, 2814, 976, 630, 23911, 1225, 339, 639, 1070, 6862, 616, 789, 5180, 538, 3444, 16687, 1107, 3440, 533, 2814, 976, 723, 10199, 21083, 4703, 563, 4002, 519, 824, 1688, 267, 3440, 533, 2814, 976, 1107, 899, 1973, 543, 2110, 26904, 533, 2814, 976, 1107, 723, 1360, 2110, 21217, 269, 9521, 24095, 543, 3529, 533, 2814, 976, 267, 945, 723, 1279, 840, 2380, 850, 21217, 602, 5351, 538, 16246, 267, 3440, 533, 2814, 976, 723, 588, 719, 21217, 267, 799, 5749, 1406, 3226, 840, 2380, 850, 563, 30761, 533, 2814, 976, 849, 723, 5266, 7522, 683, 4242, 269, 1656, 4352, 519, 3483, 540, 713, 26715, 9542, 3884, 1406, 598, 13254, 6956, 267, 930, 24370, 1125, 602, 6094, 683, 4242, 948, 3440, 533, 2814, 976, 1526, 2774, 10352, 538, 519, 9395, 3276, 4900, 543, 2165, 924, 544, 2432, 538, 799, 789, 1419, 6968, 563, 7661, 267, 899, 1034, 824, 533, 2814, 976, 267, 3440, 533, 2814, 976, 4865, 968, 4944, 2720, 892, 593, 1312, 5011, 540, 741, 642, 757, 563, 8967, 2720, 616, 519, 22514, 580, 658, 24790, 540, 15493, 7953, 269, 1358, 616, 711, 1031, 585, 21525, 10056, 267, 855, 789, 616, 3006, 1031, 1282, 9960, 1107, 519, 9038, 786, 804, 1177, 693, 519, 5011, 540, 513, 4775, 547, 948, 1847, 1200, 883, 519, 1697, 2990, 269, 631, 2297, 3335, 723, 5594, 3677, 838, 2720, 982, 8951, 267, 855, 972, 616, 17756, 563, 29638, 281, 1215, 547, 11557, 513, 11831, 5124, 888, 2252, 596, 1616, 547, 8308, 3313, 519, 3023, 540, 513, 3440, 9226, 267, 596, 3580, 3335, 991, 547, 946, 513, 16243, 3613, 324, 601, 16785, 547, 4983, 519, 3330, 540, 922, 27972, 20403, 269, 901, 3340, 513, 3787, 540, 5578, 543, 1702, 827, 3440, 9226, 14169, 267, 865, 713, 568, 513, 4305, 1655, 2451, 547, 4810, 1832, 619, 543, 1654, 1206, 563, 300, 1446, 3440, 533, 2814, 976, 267, 899, 782, 824, 5256, 15315, 267, 723, 19610, 10285, 8219, 267, 1572, 8280, 760, 25333, 269, 1452, 8280, 760, 25333, 7363, 21078, 3330, 519, 2766, 3490, 540, 513, 5256, 267, 538, 606, 30141, 10066, 269, 1879, 621, 568, 942, 547, 9742, 267, 519, 13131, 786, 2479, 339, 835, 540, 519, 8280, 760, 25333, 267, 543, 7696, 621, 883, 519, 27972, 20403, 540, 513, 4775, 563, 6097, 569, 267, 950, 513, 5374, 16785, 568, 17332, 883, 519, 2766, 3490, 540, 513, 5256, 538, 519, 1697, 6073, 267, 621, 786, 2951, 1524, 519, 3330, 630, 23855, 1227, 519, 3544, 2627, 267, 607, 519, 8280, 760, 523, 529, 568, 30141, 264, 540, 519, 8280, 760, 523, 529, 269, 901, 786, 1450, 519, 16785, 547, 23309, 5266, 7184, 563, 3528, 4334, 267, 950, 17332, 883, 519, 3490, 540, 513, 4775, 779, 2766, 267, 519, 16785, 786, 4283, 513, 13719, 1569, 800, 14189, 267, 3079, 540, 513, 8280, 760, 523, 529, 269, 901, 1797, 519, 16785, 786, 711, 2951, 1360, 2484, 883, 519, 2766, 3490, 540, 513, 4775, 563, 21446, 8271, 267, 596, 666, 3313, 519, 3023, 540, 1762, 3440, 533, 2814, 976, 998, 513, 1505, 1634, 607, 968, 16647, 4771, 1848, 901, 3322, 7311, 9543, 2604, 593, 519, 3490, 540, 519, 2766, 269, 1879, 713, 4523, 267, 519, 8280, 760, 25333, 540, 9038, 786, 3335, 2479, 339, 630, 528, 968, 16647, 856, 25257, 3850, 596, 547, 2697, 519, 3662, 607, 513, 5256, 269, 3143, 8280, 760, 25333, 786, 581, 7298, 950, 513, 4775, 779, 2766, 568, 1402, 6244, 563, 23917, 1299, 13379, 281, 1215, 8262, 1684, 11831, 623, 2814, 976, 5192, 888, 30761, 533, 2814, 976, 616, 3335, 9833, 607, 1507, 547, 5420, 13355, 15315, 269, 4107, 3440, 533, 2814, 976, 3914, 2698, 13080, 540, 1063, 476, 274, 543, 476, 276, 3952, 267, 4352, 519, 17573, 19494, 949, 1935, 476, 277, 3952, 538, 3259, 269, 11831, 533, 2814, 976, 616, 16770, 3897, 6973, 545, 267, 607, 8951, 2356, 3914, 1454, 3677, 7306, 982, 9038, 563, 300, 1446, 3440, 533, 2814, 976, 1831, 16770, 9921, 950, 789, 3914, 827, 476, 4335, 547, 476, 10384, 10101, 538, 2597, 269, 12339, 2297, 1831, 9921, 693, 5594, 3677, 7306, 267, 543, 789, 2356, 9260, 476, 12010, 547, 476, 272, 267, 4335, 10101, 1354, 789, 616, 5827, 540, 9960, 6707, 563, 4913, 267, 3440, 533, 2814, 976, 2356, 3136, 547, 1332, 2429, 741, 2729, 630, 24392, 741, 2208, 2557, 25815, 14320, 1040, 1656, 267, 952, 3177, 609, 2614, 1426, 267, 519, 17573, 4775, 786, 3914, 476, 276, 267, 1822, 10101, 538, 2597, 610, 811, 563, 299, 604, 525, 3966, 281, 1215, 7043, 1684, 11831, 623, 2814, 976, 14970, 888, 7197, 533, 2814, 976, 723, 5266, 1279, 12468, 335, 753, 267, 543, 3440, 533, 2814, 976, 616, 1100, 9868, 269, 9741, 568, 1634, 540, 741, 6093, 14438, 538, 519, 3552, 267, 855, 27604, 2043, 17216, 3914, 4587, 6502, 982, 741, 3552, 13413, 593, 3328, 563, 288, 1297, 540, 2188, 786, 3310, 519, 14438, 540, 513, 2016, 1367, 267, 855, 1034, 3440, 533, 2814, 976, 786, 2661, 585, 693, 2547, 476, 1015, 1296, 952, 3177, 609, 513, 5078, 7226, 267, 2635, 2732, 543, 1022, 2556, 18915, 1416, 269, 3509, 786, 2661, 585, 7466, 713, 1279, 267, 543, 513, 19625, 540, 2043, 723, 1044, 13006, 8757, 476, 1789, 1296, 540, 2085, 610, 811, 563, 763, 9510, 13006, 3440, 9226, 5747, 693, 476, 5325, 1296, 540, 2085, 563, 10890, 1299, 10263, 281, 1548, 1772, 5871, 543, 1548, 1772, 1133, 639, 783, 888, 30761, 533, 2814, 976, 8858, 513, 3099, 540, 1455, 5615, 267, 609, 799, 1832, 619, 1590, 1831, 5432, 269, 901, 786, 948, 596, 2697, 1761, 2042, 2038, 267, 1247, 789, 616, 1869, 2653, 547, 1521, 563, 288, 1906, 540, 519, 1034, 1271, 5615, 543, 9393, 787, 4485, 596, 1058, 4063, 1331, 912, 268, 2836, 332, 3440, 533, 2814, 976, 786, 3622, 1847, 1472, 538, 513, 3500, 267, 20982, 6073, 1247, 31300, 532, 741, 10209, 1132, 563, 268, 1879, 19225, 2989, 267, 3440, 533, 2814, 976, 949, 1225, 331, 883, 513, 3440, 267, 1427, 847, 741, 9843, 883, 606, 968, 306, 18396, 559, 2223, 1010, 338, 610, 25176, 563, 268, 4014, 789, 616, 3622, 711, 10728, 267, 3440, 533, 2814, 976, 949, 11116, 952, 19225, 2989, 563, 268, 11831, 533, 2814, 976, 8774, 21237, 269, 6884, 789, 949, 798, 865, 607, 1419, 607, 1169, 476, 274, 4374, 269, 1656, 693, 824, 2053, 789, 949, 1152, 8774, 2899, 610, 7466, 829, 1032, 563, 268, 1411, 666, 6023, 707, 3440, 9226, 5781, 267, 4352, 596, 1058, 2760, 798, 865, 5612, 1739, 6980, 269, 898, 568, 849, 1271, 547, 1832, 7829, 7886, 5618, 563, 268, 2659, 3440, 9226, 786, 2693, 6108, 513, 1390, 4308, 540, 942, 15720, 538, 835, 540, 519, 24181, 596, 1683, 269, 1717, 267, 789, 3580, 1419, 21786, 331, 827, 585, 1426, 630, 31860, 693, 3781, 264, 689, 942, 547, 942, 563, 30761, 5124, 29520, 525, 454, 30761, 533, 2814, 976, 616, 3622, 2635, 2831, 630, 31860, 27604, 1532, 1042, 2043, 1040, 1809, 789, 666, 12212, 13151, 3518, 547, 4576, 269, 11831, 533, 2814, 976, 10355, 8858, 2589, 2394, 741, 4576, 568, 2907, 693, 606, 4359, 1533, 267, 865, 621, 568, 1271, 547, 3343, 18915, 6351, 1022, 942, 707, 13131, 15225, 1022, 540, 519, 1739, 2589, 912, 268, 10748 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 866, 2550, 1210, 2473, 11920, 9196, 1496, 4751, 580, 331, 542, 328, 1708, 271, 691, 4716, 267, 9597, 19148, 1708, 271, 322, 10604, 267, 695, 328, 1708, 271, 516, 1613, 267, 562, 29800, 1708, 271, 2224, 4940, 634, 2773, 540, 930, 3642, 1949, 547, 3713, 5046, 268, 866, 16415, 729, 13380, 547, 10237, 5505, 547, 2697, 4527, 610, 9000, 540, 5046, 268, 866, 3968, 314, 332, 584, 19148, 1708, 271, 322, 10604, 4940, 634, 1455, 17016, 540, 891, 10368, 3435, 610, 2468, 720, 1949, 616, 8760, 10171, 338, 585, 5046, 866, 543, 1875, 4211, 302, 4668, 268, 866, 10483, 676, 3002, 332, 2355, 2199, 1944, 519, 16143, 27690, 3148, 610, 2127, 540, 3007, 563, 7212, 519, 2773, 540, 930, 1949, 4485, 519, 1377, 540, 10237, 5505, 593, 2473, 17530, 538, 2474, 540, 8760, 267, 855, 547, 938, 1655, 1702, 267, 1100, 2090, 723, 20240, 519, 7020, 543, 26409, 540, 519, 2068, 4525, 1996, 1480, 14391, 566, 593, 2473, 17530, 269, 21540, 7695, 568, 2565, 585, 630, 320, 264, 10335, 4879, 540, 519, 2068, 282, 543, 585, 630, 321, 264, 1246, 5346, 585, 2126, 5464, 610, 11144, 540, 3461, 2783, 269, 4014, 1480, 14391, 725, 666, 581, 5833, 585, 5046, 268, 866, 4525, 593, 2473, 17530, 267, 519, 22979, 540, 4525, 568, 4617, 3379, 547, 14391, 725, 6508, 689, 11632, 269, 634, 1646, 538, 519, 2361, 23119, 689, 519, 3668, 540, 8244, 540, 5046, 268, 866, 2473, 11920, 2592, 609, 7222, 3148, 14391, 725, 269, 634, 9295, 540, 938, 960, 13976, 593, 9591, 513, 3818, 21524, 531, 7014, 585, 938, 2079, 543, 19654, 8760, 540, 2473, 11920, 2592, 269, 3776, 2620, 1565, 2203, 14884, 1210, 1239, 689, 11632, 267, 998, 5108, 540, 10991, 2473, 11920, 689, 2139, 11632, 18767, 543, 1519, 3312, 2473, 11920, 2592, 607, 1134, 269, 634, 23221, 533, 2118, 1467, 568, 14311, 1759, 593, 2473, 11920, 2592, 267, 711, 8506, 11632, 1239, 269, 3689, 649, 3964, 513, 10991, 2473, 11920, 5108, 10325, 547, 5352, 607, 1082, 607, 2009, 10853, 10991, 2473, 11920, 547, 3648, 32433, 2473, 11920, 2592, 547, 4228, 938, 2866, 7535, 269, 5822, 267, 649, 946, 10991, 2473, 11920, 607, 513, 8115, 547, 4483, 519, 2666, 2389, 337, 3578, 689, 11632, 547, 519, 3312, 2473, 11920, 9511, 563, 272, 269, 272, 269, 272, 8827, 5071, 11137, 454, 763, 1883, 2856, 568, 547, 1451, 519, 2068, 3270, 24973, 1210, 11632, 543, 2473, 305, 1239, 855, 547, 23221, 519, 3070, 593, 2473, 11920, 2592, 269, 769, 713, 1353, 267, 649, 616, 711, 3226, 2519, 593, 3060, 1374, 267, 855, 2864, 593, 5355, 1239, 647, 11797, 543, 7393, 2666, 2389, 337, 3578, 2298, 547, 2087, 519, 15287, 540, 606, 558, 565, 748, 5160, 593, 513, 2539, 21021, 1110, 1275, 269, 769, 1931, 547, 15407, 2139, 10002, 926, 539, 543, 19610, 2473, 11920, 543, 11632, 2592, 267, 649, 723, 2966, 513, 18180, 607, 8431, 269, 272, 2982, 269, 8376, 4525, 538, 2473, 11920, 543, 11632, 616, 23064, 10446, 676, 8036, 5234, 609, 8795, 2157, 540, 1995, 269, 4635, 11632, 267, 649, 5352, 2789, 10991, 2473, 11920, 3239, 630, 306, 311, 305, 264, 829, 11632, 4320, 1927, 609, 7222, 476, 273, 291, 13968, 540, 519, 30428, 3148, 263, 5408, 476, 272, 269, 272, 269, 273, 1040, 1280, 2550, 1141, 2473, 17530, 543, 11632, 338, 630, 933, 3277, 873, 607, 19610, 11632, 543, 2473, 305, 1239, 264, 616, 9715, 1369, 513, 1507, 942, 2914, 785, 578, 630, 324, 3052, 269, 476, 4366, 3108, 1070, 649, 8850, 4483, 519, 13968, 689, 519, 590, 311, 305, 547, 519, 7222, 2473, 305, 269, 634, 11843, 14391, 725, 593, 2473, 305, 616, 2417, 14661, 16924, 12649, 676, 8036, 5234, 547, 1628, 938, 29814, 9633, 2666, 2389, 337, 3578, 270, 534, 2254, 725, 630, 5408, 476, 272, 269, 272, 269, 274, 454, 1040, 2060, 782, 2139, 2473, 305, 543, 590, 311, 305, 1927, 609, 7222, 2068, 13968, 267, 649, 5721, 513, 2620, 19543, 28708, 531, 8849, 3060, 585, 23235, 543, 10126, 532, 5046, 268, 866, 2068, 4525, 593, 2473, 11920, 563, 272, 269, 272, 269, 273, 16522, 4854, 2473, 11920, 19087, 454, 24314, 2473, 11920, 2592, 616, 6383, 676, 26124, 606, 2473, 11920, 11237, 609, 3355, 8515, 593, 519, 1641, 543, 7893, 519, 8515, 20465, 540, 519, 11237, 2348, 5293, 998, 606, 22887, 15070, 5420, 693, 1114, 7158, 1210, 513, 476, 273, 291, 2473, 11920, 18785, 5044, 269, 634, 22887, 6672, 540, 2473, 11920, 20832, 538, 2339, 5205, 519, 2142, 518, 299, 600, 6975, 1876, 267, 17548, 602, 519, 6175, 538, 519, 11237, 779, 8515, 568, 14354, 547, 519, 8515, 3294, 20465, 543, 519, 5276, 22887, 6672, 11664, 1871, 3890, 540, 519, 1570, 1373, 21986, 539, 269, 630, 272, 1916, 5804, 713, 649, 666, 17589, 519, 11237, 8515, 1599, 1599, 936, 3845, 547, 581, 606, 12825, 9178, 607, 519, 1739, 912, 1103, 2564, 2473, 11920, 2592, 519, 2418, 10710, 547, 3758, 616, 14354, 547, 519, 4082, 2938, 538, 476, 274, 267, 799, 568, 2965, 513, 14805, 566, 540, 519, 22887, 6672, 2418, 2059, 519, 11237, 269, 1403, 519, 1641, 568, 1500, 909, 540, 4130, 24267, 2281, 267, 713, 1223, 581, 19775, 607, 513, 2040, 563, 274, 291, 11632, 2592, 616, 9112, 689, 1082, 476, 273, 291, 2473, 11920, 2592, 540, 519, 1641, 3144, 693, 1114, 7285, 543, 7158, 630, 3559, 673, 610, 824, 3350, 540, 519, 2707, 1673, 564, 10725, 6292, 264, 676, 1210, 513, 9723, 4919, 16646, 6620, 971, 607, 27952, 16646, 610, 519, 11201, 2234, 517, 2981, 269, 634, 642, 2135, 601, 2418, 540, 519, 9112, 11632, 3239, 616, 519, 5276, 22887, 6672, 11664, 2418, 1808, 547, 519, 1031, 2473, 11920, 11237, 779, 1648, 8552, 269, 1452, 2418, 616, 10736, 547, 670, 10494, 7615, 1770, 630, 295, 308, 264, 2418, 607, 2938, 538, 26169, 333, 476, 275, 267, 1141, 543, 616, 519, 5276, 22887, 6672, 11664, 585, 1216, 543, 2011, 6606, 585, 519, 2016, 2473, 11920, 2707, 269, 4635, 713, 1770, 540, 2268, 21810, 2592, 3144, 609, 1114, 1648, 2473, 11920, 20832, 547, 723, 2147, 8515, 2418, 585, 519, 1482, 8031, 267, 18440, 1216, 547, 476, 271, 670, 308, 267, 2011, 547, 910, 1911, 271, 670, 308, 563, 2304, 11201, 1184, 666, 948, 1711, 2473, 11920, 2592, 689, 11632, 2592, 676, 1788, 532, 519, 9112, 476, 274, 291, 4320, 1394, 883, 513, 476, 273, 291, 7077, 2059, 5691, 12345, 23608, 689, 513, 5691, 2707, 269, 4595, 519, 2473, 11920, 3239, 630, 292, 336, 333, 269, 476, 274, 264, 568, 606, 7533, 4882, 17026, 566, 540, 22887, 6672, 2418, 2059, 519, 16879, 12345, 267, 3964, 2409, 1711, 16879, 2592, 676, 14291, 519, 11632, 642, 2135, 601, 2418, 689, 670, 308, 547, 5276, 22887, 6672, 11664, 543, 3274, 2040, 2719, 519, 18920, 2418, 2059, 519, 5691, 12345, 630, 7076, 539, 676, 519, 14612, 2619, 27480, 676, 519, 18422, 609, 532, 1142, 18920, 1040, 1677, 3035, 10853, 29660, 2473, 11920, 649, 1031, 513, 1448, 2707, 585, 519, 16879, 799, 8308, 3631, 519, 2707, 540, 519, 2473, 11920, 267, 899, 538, 4890, 2473, 11920, 9196, 17102, 269, 1280, 519, 16879, 3294, 649, 1031, 519, 589, 4306, 6938, 2389, 944, 7901, 314, 17129, 6938, 316, 2073, 799, 4847, 9936, 1436, 540, 519, 11237, 779, 5086, 630, 3200, 673, 543, 8880, 264, 607, 1134, 607, 519, 9883, 1063, 519, 5691, 1448, 2707, 267, 519, 5169, 540, 519, 1641, 543, 519, 5691, 18785, 630, 5408, 8431, 269, 476, 273, 1040, 1306, 2473, 11920, 2592, 723, 519, 1482, 18920, 19437, 538, 1312, 7516, 267, 1247, 11632, 2592, 2356, 723, 3677, 18920, 19437, 538, 519, 1990, 4287, 267, 649, 556, 1606, 600, 9482, 519, 476, 274, 291, 12531, 547, 723, 13666, 22241, 630, 271, 269, 275, 6515, 264, 19437, 1991, 547, 7384, 519, 16879, 269, 769, 4791, 2473, 11920, 2592, 267, 519, 5982, 2707, 568, 3297, 543, 519, 18785, 568, 538, 4395, 540, 519, 3461, 910, 849, 1634, 607, 17911, 12845, 10262, 630, 5183, 264, 2070, 519, 2592, 6383, 2408, 547, 581, 1166, 5792, 23276, 269, 1677, 14883, 609, 713, 7014, 267, 649, 849, 1166, 5792, 13698, 20327, 563, 2005, 568, 1271, 547, 1448, 856, 602, 538, 2013, 540, 1507, 2361, 6361, 268, 1613, 11632, 2592, 267, 1141, 519, 3461, 3085, 1406, 3514, 883, 519, 16646, 5858, 538, 519, 8880, 7077, 267, 2870, 1351, 4689, 610, 29345, 527, 2145, 16879, 786, 711, 1267, 538, 3076, 601, 833, 2473, 17530, 3239, 607, 1560, 2694, 616, 7508, 689, 519, 5691, 18422, 779, 2619, 563, 7628, 938, 960, 649, 849, 15810, 519, 26409, 2666, 5168, 13968, 585, 11632, 2592, 547, 476, 273, 291, 3898, 269, 634, 1482, 14759, 941, 4294, 547, 891, 9352, 13968, 607, 547, 519, 7222, 11632, 12531, 27195, 519, 3283, 17935, 547, 4336, 519, 642, 2135, 601, 9706, 31242, 2418, 269, 769, 938, 20104, 649, 946, 1312, 513, 9352, 3898, 540, 519, 476, 273, 291, 15810, 13968, 910, 2813, 676, 4259, 782, 1875, 25179, 2418, 547, 476, 272, 910, 543, 513, 3178, 2173, 2532, 3898, 799, 25601, 1344, 540, 519, 3178, 540, 519, 3312, 476, 274, 291, 9633, 269, 634, 8545, 729, 26987, 865, 519, 2418, 723, 519, 2168, 2495, 540, 3178, 563, 272, 269, 272, 269, 274, 623, 2077, 710, 1323, 2254, 566, 19087, 454, 2690, 19610, 2473, 305, 543, 11632, 689, 1482, 2550, 267, 938, 2832, 568, 547, 4483, 519, 18920, 30150, 2666, 2389, 337, 3578, 689, 11632, 547, 590, 311, 305, 543, 689, 590, 311, 305, 547, 2473, 305, 269, 590, 311, 305, 5713, 607, 513, 8115, 1063, 11632, 543, 2473, 305, 563, 2690, 1142, 11632, 4320, 267, 649, 5352, 513, 1297, 540, 590, 311, 20745, 543, 7222, 2068, 13968, 676, 8795, 9196, 6724, 607, 5018, 538, 476, 272, 269, 272, 269, 273, 269, 634, 3804, 568, 547, 11578, 1142, 590, 311, 305, 11134, 547, 2473, 305, 865, 602, 519, 2068, 3148, 1063, 590, 311, 305, 543, 2473, 305, 723, 519, 1655, 12972, 865, 602, 649, 666, 4019, 519, 1482, 7004, 593, 519, 2068, 9633, 689, 590, 311, 305, 543, 6383, 10805, 2068, 9633, 585, 519, 19610, 2473, 305, 269, 1306, 585, 519, 1482, 11632, 267, 2789, 590, 311, 20745, 616, 6383, 4611, 1114, 10805, 13968, 543, 649, 3274, 2824, 519, 835, 609, 519, 1655, 8994, 1344, 1063, 10805, 590, 311, 305, 543, 2473, 305, 269, 6271, 1935, 547, 2824, 6099, 590, 311, 305, 3322, 6476, 540, 519, 5761, 9633, 3148, 269, 634, 6292, 609, 519, 1034, 20718, 9633, 729, 1031, 547, 2824, 519, 4998, 6292, 563, 2414, 11578, 590, 311, 305, 547, 2473, 305, 267, 835, 4161, 568, 602, 519, 4610, 540, 1560, 2070, 616, 1114, 1063, 519, 1079, 543, 590, 311, 305, 568, 708, 3042, 2356, 609, 3946, 543, 7916, 909, 1247, 585, 2473, 305, 519, 3946, 616, 1524, 267, 3339, 2990, 540, 519, 1560, 269, 1677, 13468, 519, 1966, 540, 519, 1282, 3239, 14261, 267, 3079, 540, 1210, 3312, 2592, 267, 649, 1711, 5761, 21614, 296, 3239, 676, 7311, 5761, 26409, 593, 10991, 2473, 11920, 543, 2473, 11920, 269, 8431, 269, 476, 274, 2982, 835, 1383, 875, 649, 4483, 519, 11632, 2666, 2389, 337, 3578, 689, 11632, 547, 10991, 2473, 11920, 543, 689, 10991, 2473, 11920, 547, 1483, 2473, 11920, 269, 1284, 7747, 602, 972, 616, 9793, 3604, 1063, 14391, 725, 689, 3312, 2473, 11920, 543, 1346, 14391, 725, 6508, 689, 9927, 543, 11843, 11632, 1239, 31552, 602, 519, 15287, 540, 5046, 268, 866, 1644, 16415, 593, 2473, 11920, 949, 711, 581, 4998, 543, 1034, 3102, 563, 7212, 649, 723, 606, 16977, 8901, 6474, 1063, 590, 311, 305, 543, 2473, 305, 267, 649, 3112, 2047, 946, 11843, 2666, 13700, 3578, 263, 28566, 264, 689, 476, 274, 291, 11632, 5196, 476, 273, 291, 1256, 609, 519, 1655, 12805, 585, 2866, 519, 2620, 1565, 3631, 269, 634, 2068, 666, 6385, 1689, 1256, 1369, 476, 4366, 3108, 269, 769, 713, 2013, 519, 11843, 2666, 13700, 3578, 689, 11632, 666, 1152, 581, 1031, 607, 513, 4287, 531, 5583, 585, 513, 1480, 4274, 547, 14391, 622, 593, 519, 476, 273, 291, 2473, 17530, 269, 4475, 585, 19610, 2665, 267, 649, 1685, 8261, 16369, 593, 519, 12747, 11843, 2666, 2389, 337, 3578, 563, 272, 269, 272, 269, 275, 5046, 268, 866, 21290, 543, 16214, 15613, 454, 2690, 713, 3063, 268, 867, 2435, 5046, 268, 866, 6855, 267, 3642, 1949, 723, 1044, 11567, 547, 2697, 22114, 538, 519, 9641, 543, 4217, 538, 519, 7020, 267, 2468, 720, 267, 3067, 2305, 543, 32756, 630, 324, 3052, 269, 7646, 267, 9793, 543, 4049, 264, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 649, 723, 912, 259, 5913, 868, 534, 343, 284, 572, 1097, 339, 1415, 14204, 13295, 2655, 23082, 713, 538, 519, 3355, 4082, 3947, 721, 912, 259, 345, 284, 572, 1097, 266, 572, 1097, 21702, 346, 339, 1415, 2410, 11927, 343, 13157, 572, 1097, 13375, 1496, 1422, 2765, 346, 11927, 343, 266, 339, 1415, 2410, 11927, 343, 348, 1422, 2431, 9948, 284, 572, 1097, 13375, 1496, 315, 2765, 346, 11927, 13375, 630, 476, 2568, 3917, 1422, 2431, 3738, 266, 339, 1415, 2410, 11927, 13375, 630, 476, 2568, 3917, 1422, 2431, 3738, 348, 1422, 2431, 9948, 7807, 2765, 346, 5913, 3867, 274, 348, 344, 7346, 6912, 346, 274, 18511, 339, 1415, 4151, 8802, 1841, 454, 11764, 527, 0, 2171, 946, 12897, 547, 2285, 596, 519, 1655, 1995, 2009, 269, 1635, 11173, 649, 3580, 8263, 596, 2461, 593, 4604, 609, 938, 23739, 3609, 692, 13043, 4813, 10358, 4828, 12726, 692, 763, 2898, 2703, 568, 2139, 1152, 585, 10805, 3755, 20525, 2894, 667, 8016, 454, 1892, 9664, 912, 1892, 6478, 1293, 281, 476, 4391, 280, 454, 1892, 21145, 281, 2979, 692, 288, 3908, 942, 2709, 2439, 7476, 513, 2688, 3732, 1557, 2854, 2687, 547, 707, 4170, 14849, 476, 274, 327, 6765, 16798, 692, 24576, 3767, 692, 13043, 4813, 10358, 4828, 12726, 692, 30182, 4542, 1384, 4131, 513, 272, 28083, 273, 28083, 274, 267, 8796, 267, 534, 581, 513, 1305, 540, 2338, 267, 3328, 815, 630, 320, 272, 1341, 513, 273, 1341, 513, 274, 267, 266, 8796, 266, 606, 8358, 333, 692, 293, 10330, 12596, 1384, 3519, 31844, 513, 6404, 1297, 547, 606, 16789, 6824, 1384, 3519, 31844, 606, 16789, 6824, 547, 513, 6404, 1297, 1384, 13528, 3121, 585, 513, 8167, 1384, 1103, 513, 8167, 267, 519, 1587, 540, 519, 26037, 630, 611, 264, 3160, 519, 1587, 540, 519, 1797, 6357, 322, 1070, 692, 8110, 1417, 1384, 8110, 1417, 547, 6824, 281, 1535, 260, 815, 1535, 270, 1911, 692, 8110, 1417, 720, 4542, 281, 15580, 270, 1911, 815, 20587, 720, 11486, 848, 692, 31948, 281, 634, 2600, 563, 26015, 281, 634, 2179, 596, 616, 2921, 519, 2600, 540, 563, 8110, 1417, 720, 281, 634, 2626, 5833, 676, 14921, 519, 3490, 676, 519, 2557, 692, 8256, 10179, 2979, 12596, 1384, 11577, 870, 815, 1592, 3902, 6398, 10958, 2557, 692, 306, 1446, 3902, 815, 1592, 3902, 6567, 10958, 692, 11577, 870, 2557, 815, 10958, 21680, 1592, 3902, 692, 306, 2297, 3454, 815, 3902, 540, 6221, 6398, 3454, 2557, 692, 19950, 815, 9030, 6398, 2557, 540, 1719, 6398, 942, 692, 19522, 815, 1942, 540, 6980, 6398, 9133, 2557, 692, 8333, 2153, 815, 1942, 540, 3028, 6398, 10243, 2557, 692, 10481, 5852, 12596, 1384, 8110, 9014, 1384, 8110, 9014, 540, 513, 4009, 281, 521, 1341, 521, 1341, 521, 1341, 521, 454, 338, 281, 26319, 540, 835, 2427, 692, 8110, 9014, 540, 513, 13551, 281, 561, 1341, 530, 1341, 561, 1341, 530, 454, 331, 281, 3259, 454, 342, 281, 8700, 692, 8110, 9014, 540, 513, 6906, 281, 513, 1341, 536, 1341, 524, 454, 320, 267, 536, 267, 543, 524, 281, 13080, 540, 519, 476, 274, 5011, 692, 22704, 1384, 22704, 540, 513, 4009, 281, 521, 6398, 521, 454, 338, 281, 3259, 540, 835, 2427, 692, 22704, 540, 513, 13551, 281, 561, 6398, 530, 454, 331, 281, 3259, 454, 342, 281, 8700, 692, 22704, 540, 513, 6906, 281, 630, 321, 6398, 554, 8358, 273, 454, 321, 281, 3259, 540, 3490, 454, 327, 281, 3259, 540, 4463, 692, 22704, 540, 513, 25671, 1355, 281, 630, 321, 272, 1341, 536, 273, 264, 6398, 554, 270, 273, 454, 321, 272, 543, 536, 273, 281, 6252, 5011, 610, 519, 13279, 454, 327, 281, 3259, 540, 4463, 692, 14179, 2541, 1384, 24127, 540, 513, 13306, 281, 521, 6398, 521, 6398, 521, 454, 338, 281, 3259, 540, 835, 2427, 692, 24127, 540, 513, 4216, 281, 561, 6398, 530, 6398, 554, 454, 331, 281, 3259, 454, 342, 281, 8700, 454, 327, 281, 4463, 692, 24127, 540, 513, 12106, 281, 630, 275, 270, 274, 264, 6398, 14039, 6398, 678, 274, 454, 7032, 281, 476, 274, 269, 1691, 692, 24127, 540, 513, 21083, 24388, 281, 1858, 540, 6906, 6398, 27551, 815, 630, 272, 270, 273, 3490, 6398, 4463, 264, 6398, 27551, 3490, 281, 3259, 540, 519, 3490, 540, 519, 6906, 454, 19417, 281, 4463, 540, 519, 6906, 454, 3891, 697, 281, 4463, 540, 519, 21083, 24388, 692, 24127, 540, 513, 12718, 281, 7032, 6398, 678, 273, 6398, 27551, 454, 7032, 281, 476, 274, 269, 1691, 454, 337, 281, 8953, 540, 519, 5858, 540, 519, 3490, 454, 3891, 697, 281, 4463, 540, 519, 12718, 692, 2171, 666, 2328, 513, 2688, 1557, 692, 24576, 606, 1557, 454, 4968, 32504, 29605, 11545, 454, 1911, 267, 1822, 266, 23527, 454, 1220, 271, 266, 11762, 454, 10403, 1773, 698, 14705, 454, 13425, 518, 454, 5472, 10049, 454, 732, 18280, 690, 539, 4270, 692, 28989, 267, 855, 25718, 1257, 568, 24193, 593, 713, 3896, 269, 1403, 596, 991, 713, 610, 1022, 824, 3732, 267, 649, 666, 6494, 621, 547, 596, 3842, 4757, 780, 28989, 267, 855, 1152, 10805, 3755, 723, 2407, 1569, 692, 9404, 2664, 2299, 2496, 289, 22877, 513, 4759, 692, 14188, 1411, 589, 20769, 2439, 10387, 2742, 13177, 692, 26020, 692, 17098, 972, 2336, 25898, 596, 899, 547, 1205, 971, 513, 1957, 888, 1692, 827, 3478, 513, 16419, 835, 2496, 4692, 1405, 1265, 1548, 596, 941, 18391, 585, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 18411, 26296, 3498, 281, 12337, 2104, 24875, 269, 24875, 585, 513, 6280, 454, 529, 1269, 1015, 267, 1822, 713, 1032, 543, 4679, 476, 276, 260, 1169, 1032, 269, 513, 1982, 602, 454, 28669, 525, 519, 24875, 538, 4557, 1296, 543, 519, 2698, 1942, 540, 2185, 1296, 685, 4502, 540, 24875, 454, 11034, 532, 4557, 1296, 689, 1631, 454, 18411, 2745, 4148, 698, 25716, 454, 1012, 3553, 24875, 3097, 339, 1081, 284, 1911, 876, 454, 4532, 284, 271, 269, 4962, 454, 328, 284, 272, 454, 258, 3553, 519, 4756, 585, 2040, 815, 271, 3097, 8999, 1015, 284, 271, 454, 8999, 275, 284, 271, 454, 258, 31467, 476, 1691, 2053, 3097, 6112, 1775, 10922, 1691, 912, 825, 12361, 20412, 622, 2196, 333, 793, 2698, 454, 825, 512, 1081, 815, 5180, 9230, 339, 1081, 1341, 512, 1081, 265, 4532, 1070, 273, 994, 825, 1820, 4148, 698, 543, 1820, 2891, 12898, 2580, 1775, 267, 512, 1081, 994, 825, 12361, 952, 1032, 1063, 476, 1015, 628, 543, 476, 1691, 628, 1032, 1287, 1265, 2040, 585, 1942, 540, 476, 275, 1296, 540, 2069, 454, 825, 952, 1775, 13843, 476, 1015, 543, 1775, 27045, 1691, 912, 1038, 952, 1775, 2652, 476, 1015, 10778, 2018, 2040, 1015, 2073, 2040, 275, 815, 512, 1081, 25722, 1081, 454, 2018, 1820, 4148, 698, 543, 1820, 2891, 12898, 476, 1015, 628, 1032, 24875, 568, 2433, 14307, 2040, 1015, 994, 1038, 3116, 912, 2018, 2040, 275, 815, 2040, 275, 1341, 2040, 275, 265, 271, 269, 4962, 454, 2018, 1820, 4148, 698, 543, 476, 1820, 2891, 12898, 14307, 1775, 267, 834, 20204, 24875, 568, 2433, 14307, 2040, 275, 994, 825, 1775, 6834, 476, 272, 454, 2745, 2891, 4263, 476, 1015, 628, 1032, 3490, 24875, 1942, 786, 581, 2433, 2580, 1412, 346, 2410, 348, 8339, 8971, 2891, 259, 2580, 1037, 4433, 636, 1015, 267, 273, 4297, 476, 12467, 2745, 2891, 21798, 540, 476, 275, 1032, 24875, 4358, 476, 1015, 628, 1032, 2433, 2580, 1412, 346, 2410, 348, 8339, 8971, 2891, 259, 2580, 1037, 4433, 636, 275, 1606, 636, 1015, 267, 273, 4297, 3738, 0, 1012, 2237, 513, 1982, 602, 12987, 519, 3593, 547, 4283, 513, 10865, 9494, 2179, 543, 26444, 258, 4134, 680, 904, 519, 2272, 1871, 1310, 519, 15795, 3923, 780, 2745, 14503, 698, 25716, 454, 1998, 9179, 14503, 698, 25716, 454, 32459, 7625, 284, 24834, 9272, 2891, 11767, 10865, 9806, 2179, 281, 27363, 1012, 16754, 623, 630, 272, 1341, 678, 14672, 264, 1262, 263, 660, 994, 24629, 569, 19950, 284, 271, 269, 4962, 270, 1321, 454, 1012, 14140, 3923, 3097, 7407, 284, 1911, 16732, 272, 1341, 10865, 19950, 994, 1012, 16149, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 628, 2273, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 27917, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 325, 604, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 338, 1460, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 2745, 2891, 5475, 519, 15795, 3923, 267, 519, 2272, 1871, 568, 2580, 3898, 263, 7407, 10086, 271, 269, 273, 325, 262, 4297, 0, 18257, 4537, 541, 611, 3397, 333, 8811, 582, 686, 454, 14630, 281, 476, 4905, 270, 1556, 270, 1001, 278, 454, 32491, 547, 4159, 519, 15810, 2551, 585, 661, 21815, 540, 1985, 2947, 1296, 23166, 27345, 2475, 5058, 29486, 302, 4916, 454, 567, 10054, 2433, 3097, 11434, 835, 4332, 1169, 476, 278, 7643, 454, 11434, 835, 2669, 1169, 476, 1724, 7643, 3097, 11434, 835, 1007, 19366, 1169, 476, 3393, 7643, 454, 18411, 1012, 9690, 2551, 2016, 538, 1383, 3097, 290, 7838, 14641, 8008, 308, 6369, 3582, 815, 476, 24374, 271, 3953, 4366, 277, 454, 1012, 572, 6948, 538, 513, 1554, 454, 306, 4488, 2177, 9169, 2562, 31165, 815, 476, 279, 5038, 876, 454, 1012, 7643, 538, 1032, 3097, 306, 4488, 2177, 9169, 2562, 312, 292, 2752, 284, 476, 18458, 2608, 22444, 2177, 9169, 2562, 31165, 454, 1012, 2698, 24570, 538, 513, 1032, 3097, 20135, 321, 597, 2195, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 278, 454, 1012, 20135, 7972, 538, 513, 1032, 3097, 20135, 1372, 23411, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 1724, 454, 1012, 2698, 11082, 21945, 829, 1032, 454, 2908, 9404, 580, 7847, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 3393, 454, 1012, 2500, 21496, 2333, 538, 2551, 476, 536, 603, 1206, 910, 7972, 1341, 11082, 3097, 20204, 569, 16647, 27463, 618, 284, 2698, 321, 597, 2195, 910, 2698, 1372, 23411, 1341, 1007, 9404, 580, 7847, 692, 2745, 9497, 20135, 321, 597, 2195, 281, 257, 1341, 1193, 6025, 4973, 321, 597, 2195, 264, 1341, 27719, 333, 257, 1341, 834, 20135, 1372, 23411, 281, 257, 1341, 1193, 6025, 4973, 1372, 23411, 264, 1341, 27719, 333, 257, 1341, 834, 2908, 9404, 580, 7847, 281, 257, 1341, 1193, 28956, 9404, 580, 7847, 264, 12467, 2745, 2891, 19931, 27261, 2551, 829, 1032, 281, 257, 1341, 1193, 12169, 22022, 16647, 27463, 618, 264, 12467, 2745, 9497, 315, 333, 14826, 17413, 19617, 1422, 339, 29146, 2551, 5602, 2745, 9497, 25275, 2525, 284, 5602, 18257, 585, 1142, 1032, 9062, 519, 21496, 27261, 676, 519, 2789, 585, 602, 1032, 538, 2104, 3097, 663, 1039, 621, 547, 3490, 2551, 454, 18257, 3097, 2745, 9497, 12898, 476, 272, 1032, 8587, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 272, 3738, 3738, 12467, 2745, 9497, 12898, 476, 273, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 273, 3738, 3738, 12467, 2745, 9497, 12898, 476, 274, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 274, 3738, 3738, 12467, 2745, 9497, 12898, 476, 275, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 275, 3738, 3738, 12467, 2745, 9497, 12898, 476, 276, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 276, 3738, 3738, 3738, 0, 18411, 4537, 541, 611, 281, 630, 11514, 2452, 519, 1101, 2395, 540, 1142, 3923, 994, 18411, 20204, 815, 859, 531, 9272, 2891, 11767, 519, 1871, 585, 519, 1032, 281, 257, 4297, 476, 12361, 476, 1001, 274, 454, 11276, 815, 859, 531, 9272, 2891, 11767, 519, 8870, 1871, 585, 519, 1554, 519, 3018, 281, 257, 4297, 476, 12361, 476, 273, 454, 17058, 514, 24629, 815, 476, 271, 692, 1012, 476, 271, 31914, 599, 2073, 476, 277, 2893, 584, 1485, 563, 1721, 3923, 538, 2039, 263, 271, 267, 476, 1321, 2187, 825, 12361, 2638, 3617, 1297, 540, 2395, 538, 3923, 3097, 825, 952, 263, 24629, 2652, 476, 272, 610, 3923, 2652, 476, 274, 610, 3923, 2652, 476, 276, 610, 3923, 2652, 476, 278, 610, 3923, 2652, 476, 279, 610, 3923, 2652, 476, 1015, 610, 3923, 2652, 476, 1321, 2187, 1038, 2395, 514, 24629, 815, 476, 4029, 454, 825, 952, 3923, 2652, 476, 275, 610, 3923, 2652, 476, 277, 610, 3923, 2652, 476, 280, 610, 3923, 2652, 476, 1556, 281, 22322, 1038, 2395, 514, 24629, 815, 476, 1789, 454, 825, 952, 3923, 2652, 476, 273, 912, 1038, 2395, 514, 24629, 815, 476, 3066, 952, 630, 20204, 4939, 476, 6110, 2652, 476, 271, 610, 630, 20204, 4939, 476, 275, 2652, 476, 271, 543, 1032, 4939, 476, 1911, 11203, 476, 271, 4297, 3116, 476, 2764, 454, 825, 544, 333, 628, 284, 24629, 266, 272, 454, 825, 12361, 1491, 519, 1110, 593, 519, 519, 2395, 538, 3923, 543, 1039, 519, 4358, 1554, 547, 519, 1110, 547, 1205, 519, 1101, 1554, 540, 1985, 3923, 454, 825, 10085, 815, 630, 17058, 514, 24629, 1341, 11276, 3738, 260, 278, 454, 825, 12361, 585, 2016, 3923, 798, 952, 3116, 585, 519, 1554, 543, 1820, 519, 3977, 454, 825, 952, 544, 333, 628, 2652, 476, 272, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 273, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 274, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 275, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 19688, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8029, 1038, 585, 897, 538, 2039, 12759, 6025, 762, 314, 271, 8079, 8029, 2018, 952, 3349, 314, 992, 6012, 3712, 316, 2652, 661, 6573, 31159, 318, 20784, 5588, 6769, 3546, 6556, 630, 992, 267, 897, 10142, 3698, 5173, 6025, 762, 267, 2490, 267, 1985, 267, 13672, 267, 12498, 8029, 825, 3094, 815, 16771, 6025, 762, 3418, 825, 952, 3094, 6769, 1038, 2132, 3094, 1477, 825, 952, 782, 6958, 2683, 6025, 762, 8029, 1038, 2132, 476, 271, 1477, 825, 585, 1775, 267, 795, 538, 8900, 5334, 331, 1824, 6025, 762, 8029, 1038, 3349, 5157, 6012, 329, 316, 815, 2490, 1477, 1038, 1871, 815, 5173, 6025, 762, 267, 1985, 267, 2490, 267, 13672, 267, 12498, 3418, 1038, 3349, 5157, 6012, 329, 316, 815, 661, 6573, 31159, 318, 20784, 5588, 1477, 1038, 952, 2490, 2652, 744, 318, 12195, 19781, 6769, 2018, 13672, 815, 3193, 263, 10401, 267, 1871, 3418, 2018, 952, 13672, 13843, 12498, 6769, 3546, 2132, 12498, 1477, 1038, 3116, 6769, 2018, 12498, 815, 1295, 6357, 9508, 267, 1871, 3418, 2018, 952, 12498, 10922, 13672, 6769, 3546, 2132, 13672, 1477, 825, 952, 2490, 2652, 2473, 318, 12195, 19781, 6769, 1038, 2132, 12498, 1477, 825, 3116, 6769, 1038, 2132, 13672, 5897, 3698, 2780, 8548, 913, 6025, 762, 8029, 825, 1655, 8548, 7174, 815, 1496, 15947, 825, 1655, 19056, 815, 910, 272, 269, 272, 1477, 825, 585, 1775, 267, 795, 538, 8900, 5334, 331, 1824, 6025, 762, 8029, 1038, 3349, 5157, 6012, 329, 316, 815, 744, 318, 12195, 19781, 1477, 1038, 1007, 19056, 815, 5173, 6025, 762, 267, 2473, 318, 12195, 19781, 267, 744, 318, 12195, 19781, 267, 910, 272, 269, 272, 267, 476, 272, 269, 272, 3418, 1038, 3349, 5157, 6012, 329, 316, 815, 661, 6573, 31159, 318, 20784, 5588, 1477, 1038, 952, 1007, 19056, 3436, 1655, 19056, 6769, 2018, 1655, 19056, 815, 1007, 19056, 1477, 2018, 1655, 8548, 7174, 815, 27883, 328, 267, 795, 13580, 1477, 1038, 8640, 1007, 19056, 2652, 1655, 19056, 6769, 2018, 1655, 8548, 7174, 6910, 9230, 328, 267, 795, 17903, 825, 4737, 267, 897, 815, 4351, 26716, 4069, 6357, 652, 8548, 7174, 3418, 825, 1820, 3488, 15253, 3442, 2433, 1412, 1341, 1193, 9230, 992, 1341, 476, 272, 267, 3712, 1341, 476, 272, 4297, 3418, 825, 3349, 314, 992, 6012, 3712, 316, 815, 744, 318, 12195, 19781, 5897, 3698, 1480, 8548, 913, 6025, 762, 8029, 825, 538, 335, 476, 815, 3403, 3488, 312, 21788, 570, 7838, 301, 2433, 1412, 3418, 825, 4737, 267, 897, 815, 630, 842, 3287, 264, 910, 476, 272, 585, 1535, 538, 538, 335, 21858, 3488, 1412, 17903, 825, 3349, 314, 992, 6012, 3712, 316, 815, 2473, 318, 12195, 19781, 5897, 3698, 3014, 28399, 825, 3349, 815, 20886, 4932, 8976, 312, 318, 20784, 5588, 30297, 307, 21764, 318, 10485, 30438, 585, 1775, 538, 2039, 24867, 21764, 318, 10485, 30438, 13580, 1477, 825, 1985, 815, 674, 7644, 4306, 1477, 825, 1247, 711, 782, 6958, 2683, 6025, 762, 264, 543, 711, 16771, 6025, 762, 8029, 1038, 1820, 4671, 762, 6025, 762, 10142, 1038, 952, 1985, 2652, 2473, 318, 12195, 19781, 6769, 2018, 1480, 8548, 913, 6025, 762, 3418, 2018, 1985, 815, 744, 318, 12195, 19781, 1477, 1038, 3116, 6769, 2018, 2780, 8548, 913, 6025, 762, 3418, 2018, 1985, 815, 2473, 318, 12195, 19781, 5897, 825, 3803, 318, 7773, 1676, 815, 16771, 6025, 762, 3418, 825, 952, 3803, 318, 7773, 1676, 6769, 1038, 1820, 4671, 762, 6025, 762, 3418, 1038, 952, 3803, 318, 7773, 1676, 2652, 910, 272, 6769, 2018, 1820, 3488, 295, 9331, 3198, 654, 27486, 26008, 20298, 1038, 3116, 6769, 2018, 1820, 3488, 23490, 7473, 2207, 654, 27486, 26008, 20298, 825, 3116, 6769, 1038, 1820, 3488, 291, 6938, 310, 26008, 20298, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 3014, 14052, 24541, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 13517, 454, 258, 901, 568, 851, 540, 476, 736, 306, 272, 4888, 29637, 271, 1895, 1788, 476, 4905, 692, 5814, 15259, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 30220, 1104, 30220, 7531, 258, 901, 3758, 568, 1031, 585, 519, 19467, 10342, 540, 519, 3498, 454, 258, 1677, 946, 519, 3252, 267, 1104, 543, 1289, 519, 19467, 18316, 3890, 1599, 454, 258, 519, 6724, 616, 519, 2619, 540, 519, 15682, 13936, 519, 538, 543, 856, 454, 258, 26417, 3758, 543, 519, 2012, 585, 519, 26417, 3977, 3758, 692, 258, 1239, 4859, 546, 597, 454, 514, 5091, 597, 815, 29717, 270, 2562, 27345, 7055, 258, 3977, 3758, 454, 719, 18316, 815, 29717, 270, 1067, 3022, 318, 16059, 27406, 28847, 258, 23037, 519, 538, 6119, 543, 519, 856, 6119, 3330, 519, 15682, 2676, 258, 7024, 513, 24042, 540, 519, 1592, 540, 538, 18316, 543, 856, 18316, 454, 3698, 538, 318, 719, 5334, 677, 10031, 825, 538, 18316, 815, 11713, 825, 856, 18316, 815, 11713, 825, 585, 3758, 538, 15259, 269, 4289, 323, 597, 263, 514, 5091, 597, 2187, 1038, 952, 3758, 314, 271, 281, 273, 316, 2652, 1412, 2562, 12466, 2018, 538, 18316, 6910, 6600, 257, 346, 514, 5091, 597, 348, 270, 346, 12803, 348, 5602, 1038, 8640, 3758, 314, 271, 281, 273, 316, 2652, 1412, 5588, 12466, 2018, 856, 18316, 6910, 6600, 257, 346, 514, 5091, 597, 348, 270, 346, 12803, 348, 5602, 825, 2132, 538, 18316, 267, 856, 18316, 7531, 258, 2981, 1312, 519, 538, 3758, 543, 856, 3758, 883, 513, 1239, 18134, 2676, 258, 16289, 873, 547, 513, 1592, 454, 3698, 4020, 12774, 18134, 10031, 825, 1948, 14322, 519, 3758, 568, 3330, 519, 15682, 454, 825, 538, 18316, 267, 856, 18316, 815, 538, 318, 719, 5334, 677, 4590, 825, 17093, 18425, 8217, 815, 1496, 335, 323, 18667, 32269, 31526, 264, 585, 3758, 538, 538, 18316, 2639, 825, 17093, 318, 719, 8217, 815, 1496, 335, 323, 18667, 32269, 31526, 264, 585, 3758, 538, 856, 18316, 2639, 825, 2132, 17093, 18425, 8217, 267, 17093, 318, 719, 8217, 7531, 258, 1685, 513, 6677, 22760, 566, 543, 19467, 1063, 1079, 1592, 540, 546, 12028, 454, 3698, 6677, 520, 5332, 318, 1067, 613, 29254, 18425, 8217, 267, 17093, 318, 719, 8217, 267, 1883, 2187, 825, 1948, 6677, 22760, 622, 519, 1592, 540, 1239, 325, 29707, 883, 513, 2582, 1239, 18134, 585, 1312, 538, 543, 856, 454, 825, 17093, 18425, 815, 19073, 26769, 13906, 29254, 18425, 8217, 267, 7852, 284, 271, 994, 825, 17093, 318, 719, 815, 19073, 26769, 13906, 29254, 318, 719, 8217, 267, 7852, 284, 271, 994, 825, 1948, 19467, 519, 1079, 1239, 325, 29707, 883, 513, 2582, 1239, 18134, 454, 825, 17093, 318, 1067, 613, 815, 19073, 269, 1067, 613, 29254, 18425, 267, 17093, 318, 719, 267, 2451, 318, 517, 284, 4486, 267, 1318, 318, 517, 284, 4486, 994, 825, 2132, 17093, 318, 1067, 613, 7531, 258, 9927, 519, 6241, 883, 513, 30220, 10022, 1759, 593, 519, 3898, 9138, 454, 3698, 1205, 5091, 520, 8135, 5334, 7685, 16597, 18134, 267, 6241, 267, 9041, 8971, 2187, 825, 952, 9041, 8971, 269, 21639, 3890, 2652, 1412, 312, 13270, 12466, 1038, 24303, 5334, 7685, 815, 1239, 18134, 314, 26383, 4940, 14090, 18692, 2018, 25754, 1535, 281, 30220, 269, 1598, 696, 830, 3287, 267, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 29125, 825, 8640, 9041, 8971, 269, 21639, 3890, 2652, 1412, 295, 300, 12466, 1038, 24303, 5334, 7685, 815, 1239, 18134, 314, 26383, 4940, 14090, 18692, 2018, 25754, 1535, 281, 30220, 269, 1598, 696, 830, 3287, 267, 1412, 260, 295, 281, 260, 300, 29125, 825, 3116, 912, 1038, 2132, 7183, 454, 825, 2132, 24303, 5334, 7685, 7531, 258, 1205, 513, 1592, 540, 30220, 10022, 689, 513, 513, 6241, 8675, 454, 258, 609, 737, 341, 1790, 1515, 1373, 6241, 2012, 543, 12043, 454, 3698, 1205, 5091, 520, 8135, 8217, 16597, 18134, 267, 6241, 18380, 2187, 825, 24303, 8217, 815, 1496, 1326, 5091, 520, 8135, 5334, 7685, 16597, 18134, 267, 897, 12173, 267, 9041, 8971, 994, 25639, 585, 897, 12173, 267, 9041, 8971, 538, 6241, 18380, 29096, 3890, 2639, 825, 2132, 24303, 8217, 7531, 258, 2981, 1079, 30220, 6436, 267, 546, 1206, 272, 538, 962, 13270, 3898, 267, 546, 1206, 273, 538, 454, 258, 32518, 3898, 883, 513, 2582, 30220, 3126, 538, 667, 26774, 295, 300, 3898, 454, 3698, 9192, 291, 339, 306, 7685, 5560, 339, 5334, 7685, 272, 267, 24303, 5334, 7685, 273, 2187, 825, 24303, 5334, 7685, 815, 19073, 2529, 7685, 18828, 25910, 12759, 5560, 339, 5334, 7685, 272, 4297, 2020, 825, 585, 1775, 538, 2039, 12759, 5560, 339, 5334, 7685, 272, 15892, 1038, 24303, 5334, 7685, 5157, 316, 815, 30220, 2593, 321, 710, 5560, 520, 8135, 6155, 622, 5560, 339, 5334, 7685, 272, 5157, 25818, 30220, 28333, 5560, 339, 5334, 7685, 273, 5157, 8079, 2020, 825, 2132, 24303, 5334, 7685, 7531, 3698, 1205, 4671, 4973, 5091, 584, 332, 1231, 5560, 339, 4289, 2187, 825, 24303, 18425, 815, 9192, 291, 339, 306, 7685, 5560, 339, 4289, 314, 271, 3910, 24303, 4289, 314, 272, 7481, 825, 24303, 318, 719, 815, 9192, 291, 339, 306, 7685, 5560, 339, 4289, 314, 273, 3910, 24303, 4289, 314, 274, 7481, 825, 24303, 5091, 584, 815, 24303, 318, 719, 1673, 339, 18425, 454, 825, 1948, 1205, 519, 2698, 31764, 12265, 267, 543, 2981, 519, 1267, 883, 513, 3126, 513, 3764, 454, 825, 2698, 5091, 584, 8548, 1231, 815, 24303, 5091, 584, 6230, 777, 10857, 10033, 1535, 281, 1535, 6155, 904, 265, 2190, 265, 2568, 21147, 269, 572, 6948, 2260, 2568, 994, 825, 2132, 2698, 5091, 584, 8548, 1231, 7531, 258, 1031, 547, 3977, 513, 19467, 3758, 538, 26417, 3898, 454, 258, 883, 519, 3597, 17835, 607, 24673, 318, 16059, 27406, 454, 3698, 19467, 18316, 10031, 825, 2119, 912, 1038, 9587, 5091, 5315, 815, 27835, 14630, 13448, 9166, 1412, 312, 13270, 3299, 1412, 11742, 1103, 9166, 1412, 295, 300, 3299, 1412, 14630, 14729, 9166, 1412, 312, 13270, 3299, 1412, 11742, 11073, 9166, 1412, 295, 300, 262, 10926, 1038, 1948, 4020, 519, 1239, 18134, 1592, 543, 10002, 871, 519, 538, 17093, 543, 856, 17093, 454, 1038, 17093, 18425, 8217, 267, 17093, 318, 719, 8217, 815, 4020, 12774, 18134, 4590, 1038, 1948, 19467, 519, 1079, 546, 12028, 883, 513, 2582, 17093, 1210, 715, 30278, 1297, 454, 1038, 17093, 318, 1067, 613, 815, 6677, 520, 5332, 318, 1067, 613, 29254, 18425, 8217, 267, 17093, 318, 719, 8217, 267, 1412, 24520, 2975, 17210, 1038, 1948, 1239, 12879, 593, 12625, 543, 4734, 4266, 267, 1205, 513, 1592, 540, 30220, 3615, 454, 1038, 24303, 8217, 815, 1205, 5091, 520, 8135, 8217, 29254, 318, 1067, 613, 267, 9587, 5091, 5315, 2020, 1038, 1948, 1205, 513, 10022, 540, 8653, 538, 3764, 454, 1038, 2698, 5091, 584, 815, 1205, 4671, 4973, 5091, 584, 332, 1231, 5560, 339, 8217, 994, 1038, 1948, 1039, 519, 3126, 547, 519, 1239, 18134, 454, 1038, 17093, 318, 1067, 613, 9131, 26835, 300, 1231, 291, 4851, 11172, 815, 2698, 5091, 584, 692, 1038, 1948, 6749, 519, 715, 30278, 543, 11261, 14729, 6241, 454, 1038, 1642, 17093, 318, 1067, 613, 14277, 24520, 2975, 31116, 1038, 1642, 17093, 318, 1067, 613, 9131, 14630, 14729, 262, 6540, 1038, 1948, 556, 4067, 519, 9587, 454, 1038, 17093, 318, 1067, 613, 269, 1066, 877, 263, 3712, 8435, 28121, 262, 14630, 13448, 9166, 1412, 14630, 3299, 1412, 11742, 1103, 9166, 1412, 1103, 11742, 3299, 1412, 294, 622, 1103, 9166, 1412, 1103, 294, 622, 22779, 14030, 1412, 15425, 1103, 9166, 1412, 1103, 15425, 3299, 1412, 294, 622, 11073, 9166, 1412, 11073, 294, 622, 3299, 1412, 11742, 11073, 9166, 1412, 11073, 11742, 22779, 14030, 1412, 303, 4596, 583, 9166, 1412, 11073, 15425, 262, 9574, 538, 2897, 18989, 2020, 1038, 1948, 556, 8161, 519, 9587, 547, 538, 519, 1482, 1931, 607, 519, 1383, 454, 1038, 17093, 318, 1067, 613, 815, 17093, 318, 1067, 613, 18622, 8161, 263, 3712, 8435, 284, 9131, 14630, 3299, 1412, 1103, 11742, 3299, 1412, 1103, 294, 622, 3299, 1412, 1103, 15425, 3299, 1412, 23086, 5591, 22779, 14030, 17264, 1412, 11073, 294, 622, 3299, 1412, 11073, 11742, 3299, 1412, 11073, 15425, 3299, 1412, 26835, 300, 1231, 291, 4851, 11172, 2020, 1038, 1948, 8606, 18146, 856, 2942, 546, 15342, 9638, 3205, 1522, 4283, 2789, 2053, 994, 1038, 17093, 318, 1067, 613, 815, 17093, 318, 1067, 613, 314, 4206, 318, 1067, 613, 9131, 26835, 300, 1231, 291, 4851, 11172, 3436, 476, 271, 6540, 1038, 1948, 1603, 547, 26417, 3758, 454, 1038, 17093, 318, 1067, 613, 30419, 32269, 263, 719, 18316, 267, 4994, 25716, 2020, 1038, 1948, 2132, 519, 1239, 18134, 454, 1038, 1948, 2132, 17093, 318, 1067, 613 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 641, 267, 667, 269, 631, 1421, 543, 700, 1690, 15925, 267, 589, 269, 630, 2735, 277, 1040, 634, 4527, 540, 1863, 667, 23829, 4820, 545, 3679, 538, 23224, 543, 812, 269, 4437, 32554, 269, 4437, 19398, 269, 1763, 269, 4004, 269, 476, 15221, 267, 476, 2767, 1700, 3953, 269, 8222, 281, 476, 1015, 269, 6200, 277, 13478, 1822, 277, 268, 29720, 311, 263, 10436, 264, 3199, 274, 3066, 268, 272, 454, 293, 518, 686, 6363, 542, 328, 267, 631, 11607, 299, 1421, 5576, 18283, 267, 661, 1421, 590, 719, 712, 2088, 267, 808, 1421, 17934, 879, 267, 623, 1421, 2725, 577, 592, 600, 267, 962, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1220, 272, 1040, 12856, 540, 24083, 718, 1441, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 589, 1798, 564, 894, 540, 513, 1007, 1362, 540, 512, 11748, 8200, 3289, 1503, 1162, 808, 269, 22776, 269, 6314, 269, 476, 28510, 267, 476, 5325, 273, 5952, 1700, 5325, 273, 3445, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 11793, 20862, 1220, 454, 295, 1662, 574, 9369, 267, 589, 1421, 744, 6390, 267, 570, 1421, 543, 715, 880, 1731, 11867, 267, 570, 269, 630, 1960, 276, 1040, 26277, 13929, 3892, 543, 2022, 23196, 2242, 538, 1439, 18100, 1863, 667, 23829, 4820, 622, 543, 667, 1606, 518, 710, 538, 3731, 2634, 543, 13020, 344, 269, 20195, 269, 808, 269, 11671, 338, 857, 269, 476, 278, 267, 476, 13679, 278, 1700, 14917, 274, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 16409, 271, 268, 4817, 277, 279, 269, 1960, 276, 6745, 321, 24879, 9262, 11859, 454, 295, 1380, 664, 267, 570, 1421, 918, 745, 1706, 8643, 267, 590, 269, 623, 1421, 6022, 267, 645, 1421, 667, 1442, 5174, 516, 613, 517, 267, 589, 269, 595, 1421, 667, 342, 1882, 328, 267, 590, 1421, 2701, 22894, 267, 631, 269, 681, 1421, 1696, 620, 269, 630, 1220, 277, 1040, 5403, 20675, 2536, 11049, 7271, 540, 740, 268, 3133, 334, 2329, 331, 2389, 11748, 632, 2329, 331, 848, 6438, 6389, 538, 555, 516, 517, 2643, 2389, 11748, 4852, 2867, 848, 689, 9125, 320, 269, 661, 11586, 302, 808, 269, 476, 1839, 267, 476, 25870, 273, 1700, 275, 1626, 273, 269, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 269, 655, 2692, 329, 269, 31318, 14096, 279, 454, 297, 517, 752, 267, 808, 1421, 3911, 4135, 267, 808, 1421, 10513, 267, 589, 1421, 543, 27550, 577, 331, 1731, 267, 594, 269, 630, 2735, 271, 1040, 19983, 540, 18521, 615, 747, 807, 19546, 31246, 6874, 340, 6440, 717, 9143, 543, 31246, 6874, 340, 6440, 12654, 609, 1323, 11530, 1132, 540, 519, 476, 274, 12664, 12910, 19434, 540, 589, 2381, 334, 2329, 331, 2389, 11748, 269, 20195, 269, 808, 269, 4437, 32554, 269, 476, 10755, 267, 476, 25628, 1700, 17168, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 16960, 273, 268, 9818, 274, 269, 2735, 271, 6745, 321, 271, 3393, 6734, 11859, 454, 298, 11391, 267, 631, 1421, 645, 2801, 267, 645, 1421, 24204, 267, 808, 269, 623, 1421, 13850, 9655, 267, 631, 1421, 2274, 742, 752, 267, 631, 1421, 543, 715, 1515, 267, 590, 269, 918, 269, 630, 1220, 278, 1040, 12856, 543, 1599, 540, 519, 524, 2173, 26338, 5027, 10595, 342, 4193, 3693, 1532, 4193, 3940, 667, 16604, 5174, 269, 808, 269, 22776, 269, 6314, 269, 476, 28434, 267, 476, 10441, 6078, 1700, 10441, 4366, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 2568, 280, 277, 3953, 1220, 454, 21918, 267, 918, 1421, 7843, 335, 322, 5414, 330, 267, 589, 1421, 12844, 6387, 267, 715, 1421, 1677, 539, 339, 267, 808, 1421, 20999, 267, 589, 1421, 29276, 7322, 267, 661, 1421, 1696, 620, 269, 630, 1220, 274, 1040, 589, 9697, 24608, 11115, 1143, 585, 546, 6874, 10455, 2389, 11748, 307, 10455, 5719, 2329, 331, 848, 9122, 593, 519, 32423, 12856, 540, 12920, 17232, 639, 4623, 345, 2801, 31254, 6187, 278, 271, 269, 808, 269, 22776, 269, 6314, 269, 476, 30116, 267, 476, 16328, 9834, 1700, 13670, 6349, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 22659, 5611, 1220, 454, 301, 698, 1092, 267, 962, 1421, 11612, 20076, 267, 631, 1421, 1772, 327, 4512, 267, 962, 1421, 5842, 334, 267, 670, 1421, 18000, 580, 11867, 267, 631, 1421, 18491, 1092, 267, 918, 1421, 1696, 620, 269, 630, 1220, 277, 1040, 634, 4527, 540, 1164, 9830, 540, 1863, 667, 268, 3133, 334, 7408, 538, 1480, 19975, 269, 5020, 2233, 269, 476, 4281, 267, 476, 15757, 278, 1700, 12739, 272, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 7456, 12028, 269, 1220, 276, 269, 5400, 269, 27947, 454, 305, 617, 333, 2088, 267, 631, 269, 966, 1421, 543, 15604, 1889, 9807, 267, 654, 269, 630, 1220, 272, 1040, 674, 23474, 540, 11254, 2329, 331, 2389, 11748, 5542, 593, 519, 10775, 25593, 281, 15452, 543, 7293, 6127, 269, 7788, 340, 269, 4860, 269, 4437, 32554, 269, 476, 3583, 267, 476, 25870, 1700, 31973, 269, 8222, 281, 476, 1015, 269, 14625, 277, 270, 2335, 675, 341, 269, 6798, 32554, 269, 3583, 269, 272, 269, 25870, 454, 306, 719, 712, 2088, 267, 808, 1421, 17934, 879, 267, 623, 1421, 5548, 677, 267, 674, 1421, 3212, 10098, 5052, 267, 589, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1960, 280, 1040, 23398, 10886, 1436, 540, 519, 291, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 689, 18521, 615, 747, 807, 19546, 269, 808, 269, 22776, 269, 6314, 269, 476, 28638, 267, 476, 4489, 6021, 1700, 4489, 1691, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 269, 28638, 269, 2767, 269, 4489, 6021, 454, 306, 719, 712, 2088, 267, 744, 1421, 590, 719, 712, 2088, 267, 808, 1421, 2349, 534, 21103, 267, 590, 1421, 543, 17934, 879, 267, 623, 269, 630, 1220, 275, 1040, 19725, 540, 667, 268, 1399, 549, 1910, 331, 2389, 11748, 307, 10455, 6589, 585, 519, 17219, 540, 667, 268, 1399, 4592, 710, 4724, 18521, 615, 747, 807, 19546, 269, 808, 269, 22776, 269, 6314, 269, 476, 29344, 267, 476, 28883, 2568, 1700, 28883, 4792, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 29710, 280, 4029, 1220, 454, 310, 565, 657, 12027, 267, 670, 1421, 2349, 2931, 24849, 267, 590, 1421, 543, 590, 5500, 1457, 267, 590, 269, 670, 269, 630, 1960, 280, 1040, 5395, 710, 5198, 332, 848, 281, 513, 1350, 658, 11747, 13754, 1944, 667, 1606, 518, 710, 547, 10038, 22965, 600, 622, 9539, 2173, 14007, 5937, 23829, 4820, 622, 5778, 10520, 3939, 269, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 9834, 267, 476, 16328, 6021, 1700, 16328, 1691, 269, 8222, 281, 476, 1015, 269, 13040, 274, 9706, 19063, 269, 9834, 269, 2537, 269, 16328, 6021, 454, 310, 11770, 879, 267, 590, 1421, 8709, 3541, 10163, 267, 717, 1421, 589, 889, 731, 267, 595, 1421, 17934, 879, 267, 623, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1220, 280, 1040, 654, 7655, 3892, 540, 1591, 8878, 1996, 667, 268, 3133, 334, 2329, 331, 2389, 23978, 269, 808, 269, 22776, 269, 6314, 269, 476, 29257, 267, 476, 9610, 9834, 1700, 15221, 6860, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 3199, 279, 15876, 1220, 454, 312, 611, 822, 718, 328, 267, 590, 269, 590, 1421, 543, 594, 6277, 320, 267, 631, 269, 630, 1001, 273, 1040, 10866, 1852, 538, 11254, 2329, 331, 2389, 11748, 10282, 922, 1909, 538, 6037, 1049, 535, 23474, 269, 5917, 269, 19871, 6314, 269, 13419, 269, 22776, 269, 476, 10436, 267, 476, 272, 1700, 6246, 269, 8222, 281, 476, 1015, 269, 6200, 277, 20324, 7818, 268, 271, 268, 1321, 268, 4343, 277, 5392, 278, 268, 271, 269, 1822, 4905, 268, 274, 454, 312, 7541, 767, 267, 631, 1421, 16679, 267, 590, 1421, 645, 1002, 339, 267, 570, 269, 918, 1421, 543, 1744, 12609, 267, 589, 269, 630, 1001, 271, 1040, 12856, 540, 667, 268, 1399, 549, 1910, 331, 2389, 11748, 307, 10455, 632, 2329, 331, 848, 1210, 1753, 21299, 19923, 918, 543, 9793, 7779, 19381, 728, 4149, 4696, 1239, 281, 7293, 26340, 1143, 543, 670, 7968, 2464, 27995, 11747, 2829, 269, 2920, 320, 24083, 718, 1748, 3821, 8791, 667, 22776, 269, 24083, 718, 690, 337, 269, 476, 5780, 267, 476, 6812, 275, 1700, 30020, 269, 8222, 281, 476, 1015, 269, 8099, 278, 13478, 271, 3445, 278, 4510, 5392, 272, 1822, 2568, 277, 273, 454, 21292, 281, 667, 31813, 267, 667, 268, 3133, 334, 7408, 267, 476, 274, 291, 2497, 540, 667, 31813, 267, 2037, 10405, 7271, 5212, 667, 31813, 267, 19871, 10282, 2638, 9557, 454, 290, 2787, 281, 645, 1002, 339, 570, 298, 267, 12312, 328, 681, 543, 1744, 12609, 667, 630, 1001, 277, 264, 10765, 5455, 30098, 593, 667, 31813, 630, 291, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 2567, 1323, 2037, 10405, 12708, 585, 674, 23474, 543, 10866, 540, 19871, 31349, 269, 13571, 269, 8426, 8061, 269, 22776, 269, 476, 275, 281, 3953, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 3250, 269, 1001, 277, 269, 1822, 3953, 454, 3725, 18727, 281, 476, 1428, 5239, 476, 1001, 276, 282, 20504, 539, 281, 476, 1321, 4989, 476, 1001, 277, 3248, 13775, 281, 476, 2918, 4989, 476, 1001, 277, 563, 10955, 1243, 676, 281, 303, 269, 12920, 778, 18588, 4414, 11276, 267, 7147, 15306, 2160, 267, 7330, 454, 18800, 539, 676, 281, 297, 10224, 26548, 16037, 30954, 1132, 267, 6239, 2160, 540, 27816, 267, 27816, 454, 305, 1868, 327, 918, 663, 574, 718, 320, 267, 2506, 800, 2160, 267, 7330, 454, 15648, 9736, 476, 1001, 277, 645, 1002, 339, 267, 12312, 328, 543, 1744, 12609, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 630, 6717, 15760, 1040, 634, 946, 267, 3892, 610, 12093, 538, 824, 15473, 568, 15868, 267, 3177, 519, 3312, 2278, 4433, 264, 610, 6132, 16428, 616, 20295, 543, 602, 519, 3312, 8313, 538, 713, 4760, 568, 11855, 267, 538, 13076, 609, 7608, 4081, 2259, 269, 3143, 946, 267, 3892, 610, 12093, 568, 15868, 799, 1281, 711, 16783, 609, 891, 2474, 563, 265, 17357, 22046, 775, 281, 20579, 684, 918, 269, 645, 1002, 339, 267, 4757, 11333, 2593, 0, 26156, 20407, 24295, 23618, 539, 538, 17018, 10181, 334, 623, 944, 538, 6489, 7717, 7232, 338, 16303, 454, 26156, 20407, 24295, 814, 1044, 9571, 538, 519, 18151, 2551, 538, 6489, 7717, 7232, 338, 16303, 563, 6097, 547, 519, 6489, 7717, 7232, 338, 16303, 6019, 2657, 5149, 267, 972, 616, 1100, 4080, 2665, 540, 519, 3644, 538, 3425, 538, 519, 3148, 865, 2484, 1010, 1032, 267, 855, 519, 2318, 18151, 7535, 6920, 519, 1761, 585, 1480, 3968, 563, 763, 1072, 1770, 568, 22348, 7264, 547, 4894, 782, 7555, 1216, 689, 741, 3959, 538, 1931, 547, 2569, 519, 18151, 2551, 269, 1763, 6342, 616, 9415, 547, 3346, 519, 2749, 781, 476, 25313, 1289, 8998, 952, 789, 1294, 7555, 1216, 538, 519, 2146, 563, 763, 1072, 1770, 3081, 2043, 1058, 5957, 3617, 7802, 8720, 607, 1454, 2960, 607, 2009, 1141, 12073, 657, 616, 1459, 543, 946, 5521, 28084, 757, 5627, 16692, 4953, 610, 594, 8364, 573, 514, 269, 0, 13828, 589, 543, 645, 616, 2953, 855, 645, 568, 606, 4587, 1106, 543, 568, 1447, 4122, 1031, 1631, 910, 596, 616, 811, 2693, 547, 1294, 621, 538, 4587, 3332, 543, 811, 2693, 547, 5873, 621, 538, 519, 2942, 1106, 538, 2453, 899, 834, 2791, 991, 333, 1405, 5855, 257, 834, 11039, 596, 991, 333, 1405, 1589, 594, 6415, 2469, 547, 798, 621, 585, 596, 30882, 5591, 834, 23921, 596, 513, 1007, 11058, 8119, 568, 606, 2895, 24191, 1106, 910, 596, 666, 1405, 2161, 621, 1631, 630, 1278, 982, 5310, 538, 513, 1906, 2178, 2199, 22463, 1916, 257, 23921, 596, 1496, 4777, 1945, 316, 8119, 1869, 4386, 607, 538, 707, 1383, 834, 23921, 596, 979, 8119, 855, 2760, 834, 23921, 596, 1496, 320, 3364, 316, 24350, 23744, 594, 1131, 2161, 1810, 1405, 2328, 610, 946, 519, 645, 1106, 538, 4633, 855, 1174, 621, 585, 519, 14026, 596, 786, 2097, 2066, 621, 267, 5631, 538, 3332, 610, 1974, 12416, 563, 28775, 602, 2337, 2433, 264, 0, 320, 264, 17266, 9117, 6802, 454, 321, 264, 17677, 9117, 6802, 454, 322, 264, 31530, 628, 6802, 454, 323, 264, 13660, 14658 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1450, 2933, 547, 1831, 679, 600, 1819, 609, 519, 25384, 10764, 540, 741, 2052, 22528, 924, 12543, 269, 1403, 789, 23491, 741, 26315, 7083, 267, 519, 1004, 540, 5840, 786, 3136, 547, 4309, 2696, 779, 25736, 269, 1809, 952, 789, 1821, 5573, 689, 2696, 779, 2081, 267, 789, 786, 2097, 896, 519, 26315, 1225, 4513, 563, 2171, 2132, 547, 938, 3126, 593, 519, 3883, 540, 26056, 269, 7083, 8348, 267, 649, 786, 16833, 909, 938, 1353, 540, 26056, 1985, 10732, 1354, 7432, 938, 3007, 547, 519, 3883, 540, 7225, 2471, 269, 1306, 649, 723, 2938, 267, 26056, 568, 1631, 606, 2025, 812, 269, 898, 568, 1010, 10279, 607, 26315, 18657, 1807, 547, 2285, 513, 2186, 540, 968, 8063, 540, 5840, 892, 2232, 1354, 646, 4422, 547, 581, 609, 519, 28789, 269, 634, 3803, 1079, 11271, 540, 26056, 616, 4010, 602, 1700, 1492, 26315, 18657, 1807, 779, 1913, 540, 26460, 543, 9963, 540, 31169, 547, 1010, 1004, 269, 1306, 900, 874, 5597, 607, 646, 666, 267, 26056, 19595, 519, 1004, 540, 5840, 540, 519, 4909, 2497, 540, 741, 3084, 26315, 609, 962, 295, 20062, 269, 1703, 616, 25736, 585, 24150, 543, 972, 616, 1225, 4513, 12219, 585, 27136, 17171, 269, 1403, 5840, 1073, 324, 903, 519, 26315, 267, 789, 786, 2611, 538, 519, 2244, 543, 789, 786, 3136, 547, 2661, 538, 13884, 269, 1809, 952, 5840, 771, 12786, 903, 519, 26315, 267, 519, 1004, 1981, 1373, 5641, 856, 540, 519, 2244, 540, 2052, 22528, 543, 519, 28789, 786, 609, 3835, 1010, 26460, 269, 2913, 5840, 2760, 7340, 602, 2462, 4453, 338, 543, 18683, 267, 519, 26460, 540, 1082, 1453, 267, 31459, 543, 1166, 4169, 267, 607, 1134, 607, 4708, 609, 741, 25384, 12543, 616, 13344, 689, 2696, 543, 4829, 540, 519, 4182, 779, 24150, 563, 763, 7887, 3463, 547, 5840, 568, 711, 602, 606, 10546, 786, 2097, 543, 14710, 873, 1700, 24392, 602, 786, 5555, 2097, 547, 1780, 269, 634, 7887, 3463, 547, 5840, 568, 602, 1004, 786, 6336, 741, 2648, 585, 962, 295, 20062, 267, 602, 789, 3580, 581, 13631, 547, 25384, 968, 326, 16104, 892, 543, 25384, 3029, 540, 10847, 267, 543, 602, 789, 786, 24044, 1073, 324, 3539, 2696, 779, 1876, 267, 7551, 1641, 532, 2933, 547, 519, 26315, 1225, 4513, 269, 769, 1249, 267, 676, 519, 942, 649, 1205, 547, 7225, 2471, 476, 273, 281, 1556, 649, 786, 1224, 891, 8909, 1913, 267, 968, 4517, 519, 1004, 540, 5840, 1705, 1018, 729, 9409, 538, 519, 8289, 540, 519, 28789, 543, 6039, 519, 13391, 1023, 1848, 3502, 1152, 729, 26056, 827, 547, 5884, 267, 855, 865, 941, 1082, 540, 602, 5108, 2713, 693, 519, 942, 540, 519, 21037, 269, 898, 729, 519, 1453, 540, 713, 5108, 945, 1376, 5840, 1524, 519, 4155, 4724, 796, 10964, 3971, 267, 19980, 6470, 543, 25010, 269, 634, 2243, 827, 875, 649, 1780, 938, 5132, 593, 547, 938, 1453, 267, 607, 1134, 607, 875, 649, 2611, 21705, 547, 2696, 1247, 11303, 676, 533, 698, 753, 267, 3587, 519, 3498, 649, 2721, 689, 1934, 593, 856, 269, 898, 568, 835, 3364, 547, 7001, 519, 2244, 543, 5397, 856, 519, 2052, 22528, 2572, 267, 621, 568, 1776, 547, 581, 21705, 547, 2696, 2066, 519, 5481, 950, 972, 616, 865, 1082, 15673, 725, 547, 10847, 543, 4196, 824, 10971, 543, 547, 19533, 3544, 519, 5132, 540, 5840, 269, 901, 786, 581, 5840, 779, 6560, 269, 898, 568, 849, 23600, 563, 2026, 26056, 3947, 891, 3803, 1913, 547, 5840, 3823, 519, 26460, 268, 2017, 572, 6240, 267, 543, 607, 646, 14753, 827, 519, 2104, 540, 5840, 267, 1010, 21855, 616, 11329, 543, 1463, 269, 634, 4182, 540, 5840, 6763, 693, 1776, 2565, 4090, 538, 922, 1686, 269, 8409, 945, 5873, 26056, 779, 1913, 1590, 3442, 1018, 519, 2104, 786, 3180, 585, 873, 267, 799, 568, 1946, 621, 568, 865, 1271, 602, 26056, 24633, 519, 1004, 540, 519, 4539, 540, 713, 2565, 3375, 269, 1703, 616, 25736, 547, 581, 4607, 543, 972, 568, 519, 12491, 527, 1464, 540, 26315, 31169, 585, 27136, 17171, 563, 11693, 519, 2956, 540, 713, 26460, 270, 2017, 572, 6240, 267, 594, 723, 1044, 10771, 1079, 1919, 538, 713, 3126, 269, 3689, 267, 519, 26315, 2696, 1500, 609, 5840, 693, 6778, 31291, 328, 267, 1281, 711, 5993, 610, 5372, 519, 4505, 26315, 2696, 1500, 609, 14062, 269, 4762, 6748, 891, 524, 8576, 1218, 630, 1492, 14062, 545, 1700, 1492, 26315, 540, 11419, 282, 543, 519, 31291, 12792, 1700, 1492, 1568, 1759, 26315, 2696, 1500, 609, 607, 513, 4182, 264, 568, 513, 12161, 602, 7642, 786, 1118, 2663, 593, 267, 865, 602, 2516, 899, 519, 7225, 320, 9088, 1294, 4931, 17800, 607, 711, 513, 1129, 543, 13021, 540, 519, 26315, 540, 11419, 267, 855, 607, 1945, 13615, 547, 519, 26460, 270, 2017, 572, 6240, 269, 634, 7225, 320, 9088, 5156, 602, 4931, 17800, 729, 5789, 3218, 1190, 543, 1945, 649, 1590, 798, 547, 581, 10710, 269, 2201, 519, 14669, 267, 538, 519, 14062, 545, 26315, 1700, 1492, 1101, 3140, 23314, 540, 519, 26315, 540, 11419, 1700, 29006, 945, 1413, 547, 2696, 538, 5132, 547, 1683, 585, 519, 19807, 540, 741, 21359, 267, 786, 8197, 581, 22921, 1851, 2696, 779, 1004, 543, 4309, 741, 18163, 18472, 269, 3414, 519, 4064, 540, 5132, 789, 1174, 602, 519, 5898, 543, 29667, 344, 540, 2052, 22528, 568, 855, 513, 25861, 19214, 540, 1018, 19179, 1080, 2696, 779, 1004, 538, 13140, 269, 1809, 519, 26315, 2696, 1500, 609, 5840, 693, 6778, 31291, 328, 267, 2705, 267, 568, 1759, 2390, 519, 1568, 6240, 543, 519, 1004, 540, 5840, 786, 581, 25552, 610, 17400, 539, 607, 513, 4182, 267, 4470, 2390, 2436, 610, 711, 789, 616, 1073, 539, 1304, 547, 519, 26315, 269, 634, 31291, 12792, 26315, 568, 4061, 267, 606, 7357, 1114, 2186, 540, 26315, 982, 519, 14062, 545, 26315, 543, 649, 1590, 1832, 873, 3982, 563, 763, 2034, 3364, 594, 723, 1044, 10771, 568, 602, 519, 5108, 945, 9411, 519, 16219, 2244, 896, 519, 5718, 540, 26056, 267, 538, 513, 2631, 267, 5713, 607, 519, 1164, 21226, 1665, 538, 2474, 540, 5840, 779, 5132, 6888, 547, 519, 7083, 269, 2334, 5108, 799, 2451, 5527, 5360, 7134, 827, 3388, 269, 1358, 6065, 1540, 602, 962, 295, 20062, 1223, 1832, 1010, 9153, 547, 2285, 873, 519, 2244, 540, 2052, 22528, 543, 547, 9886, 873, 11802, 936, 519, 2052, 22528, 2572, 269, 5221, 540, 741, 796, 10964, 3971, 267, 602, 5108, 729, 7142, 547, 32603, 2429, 519, 31291, 328, 9390, 585, 17288, 1296, 269, 1809, 519, 1985, 5108, 267, 1346, 4535, 538, 519, 9390, 1310, 5840, 2451, 5527, 267, 543, 945, 941, 2713, 693, 519, 942, 540, 519, 1230, 26810, 543, 945, 9411, 2052, 22528, 609, 26056, 267, 789, 5156, 2696, 1223, 798, 607, 646, 16219, 269, 1452, 941, 519, 1004, 945, 17105, 519, 26315, 543, 941, 4931, 322, 2213, 267, 945, 3710, 606, 26749, 693, 16500, 6549, 16033, 908, 519, 15385, 540, 519, 16888, 5211, 267, 945, 9976, 519, 30687, 538, 2052, 22528, 543, 945, 17696, 519, 3132, 540, 519, 2244, 267, 3079, 540, 812, 3534, 269, 1452, 941, 519, 1004, 945, 17105, 519, 26315, 693, 2701, 17057, 543, 945, 2322, 3600, 1156, 547, 2669, 585, 3423, 908, 2696, 779, 2769, 4971, 547, 711, 1491, 4376, 689, 519, 21219, 540, 7603, 747, 334, 269, 1452, 616, 519, 1004, 630, 663, 741, 1453, 264, 547, 7247, 26056, 568, 6340, 269, 1809, 621, 568, 741, 1453, 827, 7247, 649, 1224, 538, 7225, 2471, 267, 789, 968, 323, 573, 711, 917, 519, 28789, 610, 519, 960, 646, 1185, 2944, 585, 5840, 1848, 4475, 267, 621, 8813, 547, 26056, 547, 24633, 5840, 540, 519, 26315, 1225, 4513, 267, 607, 1134, 607, 1448, 873, 6619, 547, 519, 1350, 1559, 540, 1018, 1223, 581, 269, 3683, 942, 267, 26056, 779, 5048, 729, 16618, 543, 5840, 786, 1265, 3294, 4947, 896, 31169, 563, 2414, 1224, 519, 1964, 540, 713, 28005, 517, 267, 4945, 1934, 0, 347, 19119, 540, 1160, 2023, 10657, 454, 347, 1432, 568, 1160, 2023, 10657, 888, 3682, 2023, 10657, 568, 606, 4359, 1106, 540, 5982, 3797, 602, 10502, 20205, 1164, 13066, 540, 5982, 547, 513, 10510, 3135, 547, 6146, 519, 29406, 8031, 1510, 14124, 519, 4478, 2635, 5160, 563, 1692, 1281, 23442, 5982, 1114, 689, 2757, 27141, 5982, 888, 1103, 2757, 5982, 3797, 267, 2473, 11920, 20832, 616, 3335, 1031, 547, 1521, 2860, 269, 634, 2473, 11920, 20832, 979, 998, 519, 29406, 5160, 630, 339, 32214, 264, 21006, 1312, 2635, 543, 29406, 2127, 2059, 519, 2619, 540, 519, 11237, 269, 1717, 267, 538, 23442, 5982, 267, 519, 23442, 11237, 13515, 693, 519, 10510, 3135, 6028, 519, 2635, 2281, 3564, 621, 19448, 26327, 269, 634, 23442, 11237, 666, 849, 581, 733, 10696, 547, 519, 3169, 3337, 540, 519, 10510, 267, 2417, 13302, 5982, 4598, 543, 12145, 2427, 2360, 269, 1160, 2023, 3797, 568, 3226, 2500, 585, 22297, 11871, 267, 11871, 2282, 4105, 8219, 267, 543, 12963, 11871, 563, 1692, 1281, 23442, 3797, 960, 888, 3682, 2023, 2234, 23956, 1568, 676, 9357, 1944, 5160, 6675, 267, 799, 14796, 519, 1591, 13540, 267, 519, 4478, 9245, 543, 824, 3334, 267, 543, 7551, 29620, 1591, 2208, 269, 8426, 6498, 568, 29169, 610, 519, 1591, 10523, 269, 769, 6476, 609, 519, 22726, 1031, 538, 6671, 2234, 23956, 267, 22571, 723, 1978, 2168, 5383, 269, 1358, 5305, 741, 5021, 9570, 1107, 799, 6285, 519, 10510, 2281, 1107, 1318, 693, 519, 1439, 540, 741, 18330, 269, 634, 1448, 1141, 789, 3247, 568, 1572, 519, 4858, 1375, 8445, 269, 4256, 3432, 630, 528, 1648, 264, 568, 7229, 865, 602, 713, 1448, 4386, 693, 513, 10502, 5697, 5544, 1369, 519, 10510, 269, 3143, 5982, 568, 20024, 538, 519, 2635, 5160, 3297, 519, 10510, 269, 634, 9570, 5950, 538, 2635, 5160, 593, 519, 1259, 547, 519, 10510, 568, 14320, 1447, 982, 609, 27141, 3797, 269, 4475, 267, 593, 519, 835, 1688, 519, 838, 2130, 540, 2635, 5160, 568, 6099, 267, 543, 593, 519, 824, 513, 3648, 2362, 5982, 9570, 666, 581, 5950, 10502, 1369, 519, 10510, 563, 1432, 12970, 666, 1655, 581, 5701, 609, 23442, 3797, 286, 1160, 2023, 3797, 568, 1655, 1031, 1141, 1164, 9570, 547, 519, 10510, 543, 5021, 8856, 568, 2838, 269, 1403, 519, 2564, 23053, 3870, 2539, 9570, 543, 2647, 268, 19327, 2234, 23956, 267, 23442, 2126, 949, 3142, 1100, 3982, 5413, 269, 769, 2013, 540, 8969, 267, 513, 13354, 3797, 1544, 666, 581, 6537, 909, 267, 543, 513, 3375, 585, 23442, 610, 27141, 3797, 1500, 593, 519, 4493, 540, 519, 7229, 9570, 14778, 563, 1432, 2164, 814, 23442, 3797, 6913, 286, 1548, 616, 519, 8458, 540, 513, 10826, 888, 3682, 27971, 723, 1044, 1031, 538, 2564, 3797, 2094, 476, 4198, 275, 267, 950, 2550, 941, 1101, 23735, 7007, 609, 891, 9797, 9901, 5536, 538, 20588, 267, 4993, 269, 4595, 1287, 811, 982, 476, 2004, 262, 1822, 1004, 723, 1044, 5701, 693, 1585, 7740, 5001, 267, 6140, 585, 12970, 540, 519, 3750, 630, 577, 528, 18042, 14264, 5557, 1070, 2634, 267, 15693, 3490, 267, 12636, 543, 10652, 6665, 269, 6764, 4809, 1967, 814, 1044, 6913, 609, 3750, 12970, 267, 609, 513, 2199, 10510, 1852, 2557, 23630, 476, 7176, 260, 1310, 2947, 1296, 267, 543, 972, 814, 1044, 513, 13974, 11495, 2333, 689, 476, 2412, 260, 547, 811, 982, 476, 3199, 260, 538, 519, 1852, 2557, 585, 669, 1180, 4592, 541, 1260, 553, 543, 811, 982, 476, 4792, 260, 585, 16147, 5557, 540, 519, 15693, 3490, 269, 1452, 2164, 12927, 519, 5098, 602, 5730, 11093, 540, 519, 5982, 9570, 267, 2059, 609, 519, 3648, 2362, 5982, 602, 666, 7551, 581, 5950, 3330, 519, 10510, 267, 5512, 2208, 547, 581, 10300, 1540, 538, 1256, 5266, 5982, 15033, 12970, 267, 610, 11863, 873, 547, 581, 10032, 15587, 267, 1510, 3441, 547, 4478, 5160, 269, 1306, 6703, 3262, 585, 8156, 12970, 602, 3112, 581, 18113, 16271, 547, 6671, 2234, 23956, 267, 649, 949, 2503, 689, 782, 891, 2959, 606, 2333, 538, 519, 23053, 585, 23442, 15515, 600, 2126, 563, 1432, 616, 519, 2427, 2360, 888, 306, 728, 2360, 616, 5258, 883, 8650, 543, 1279, 3856, 2360, 269, 1358, 4096, 1312, 593, 519, 2783, 540, 519, 8219, 7255, 543, 593, 519, 5982, 9570, 547, 799, 789, 616, 6534, 269, 24658, 814, 922, 2360, 1141, 519, 9570, 568, 20024, 269, 1280, 1383, 267, 4552, 2530, 786, 1152, 2049, 950, 519, 15693, 568, 23735, 7007, 267, 543, 10151, 6553, 543, 9636, 786, 3622, 8451, 1310, 2234, 23956 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 22913, 5035, 910, 4826, 267, 8693, 543, 17912, 454, 763, 4487, 5035, 2048, 12850, 267, 8693, 267, 543, 17912, 8730, 3366, 676, 26391, 22118, 333, 8891, 3205, 630, 24841, 12064, 2160, 1070, 786, 1413, 1394, 693, 519, 6249, 540, 519, 476, 277, 628, 16685, 4139, 10985, 1315, 476, 736, 628, 2107, 23782, 17912, 32600, 2048, 12850, 267, 8693, 267, 543, 24779, 685, 630, 1708, 271, 267, 2228, 1916, 1432, 666, 31150, 8874, 4001, 721, 827, 519, 1686, 540, 2518, 8337, 286, 2052, 14980, 8874, 10023, 1216, 267, 22747, 267, 2371, 267, 5017, 267, 543, 824, 2067, 9259, 948, 6318, 8733, 4656, 2221, 286, 2052, 4670, 1686, 267, 799, 705, 2432, 609, 2592, 540, 519, 3047, 779, 1949, 267, 948, 721, 1174, 519, 3463, 649, 616, 1631, 6849, 888, 3080, 540, 519, 2591, 540, 4947, 547, 2474, 609, 2916, 1689, 543, 2527, 14486, 568, 519, 1799, 3748, 540, 519, 2042, 269, 17912, 267, 609, 922, 26080, 2702, 547, 1463, 543, 1445, 938, 3007, 267, 2488, 3255, 547, 3142, 519, 2916, 6433, 1524, 547, 513, 1480, 4336, 563, 1607, 3638, 569, 11609, 4487, 5035, 543, 4670, 10872, 593, 519, 16685, 17912, 26761, 630, 1721, 1863, 264, 786, 2263, 519, 2081, 538, 799, 8874, 18995, 2470, 689, 476, 1911, 1296, 3516, 666, 948, 721, 1174, 519, 2081, 538, 799, 621, 568, 1373, 12012, 2221, 267, 543, 519, 14849, 13766, 540, 4657, 1576, 563, 763, 4670, 10872, 593, 519, 16685, 17912, 26761, 2882, 5216, 2110, 15923, 8874, 689, 519, 476, 4489, 271, 338, 543, 476, 736, 338, 18995, 8916, 543, 2831, 269, 4826, 568, 606, 1271, 6249, 4881, 998, 519, 9584, 267, 799, 10741, 609, 513, 2951, 4084, 602, 19388, 619, 593, 1835, 4770, 5836, 6329, 538, 519, 3162, 540, 5333, 269, 8921, 267, 519, 3618, 781, 17027, 21755, 568, 13269, 538, 513, 4241, 2038, 4670, 827, 519, 5169, 540, 1272, 593, 3618, 543, 519, 4720, 540, 2249, 267, 543, 538, 10565, 3377, 516, 601, 22089, 540, 519, 476, 4572, 277, 15480, 25764, 18962, 20349, 538, 3567, 563, 4910, 1830, 10868, 568, 1776, 6249, 267, 607, 3254, 538, 513, 4670, 18995, 8701, 7703, 10122, 538, 519, 11848, 5836, 543, 513, 4670, 827, 19883, 538, 3345, 3013, 269, 5565, 26982, 2678, 2470, 8874, 616, 849, 12286, 267, 835, 513, 28094, 540, 1614, 2681, 2389, 842, 539, 5521, 8874, 267, 519, 824, 513, 4190, 23296, 4290, 23469, 4670, 540, 5017, 538, 4639, 4000, 269, 634, 1982, 32195, 676, 13059, 547, 1216, 609, 513, 2951, 4084, 18995, 513, 678, 5241, 5757, 538, 519, 12877, 16867, 525, 10239, 563, 29310, 267, 891, 5216, 8874, 689, 16685, 8606, 7825, 5237, 779, 4015, 6655, 513, 2631, 540, 875, 2470, 729, 19424, 539, 835, 4627, 1296, 3516, 269, 30587, 26940, 676, 4670, 16159, 26391, 22118, 333, 8891, 3205, 269, 8535, 676, 9410, 632, 22859, 3438, 563, 297, 3317, 11717, 22118, 333, 8891, 3205, 568, 519, 2278, 540, 4065, 538, 519, 3427, 540, 14134, 338, 281, 13488, 690, 1132, 543, 7216, 27140, 17912, 630, 291, 8123, 2160, 4964, 267, 476, 1001, 274, 1040, 4173, 14046, 4930, 723, 1044, 3370, 538, 519, 4750, 540, 28037, 9047, 543, 9012, 5525, 267, 12339, 21442, 9012, 2876, 1559, 267, 31396, 9866, 322, 3120, 267, 25021, 12005, 267, 5192, 1399, 3194, 4750, 267, 543, 3875, 12995, 10070, 269, 2701, 814, 3370, 4670, 267, 1148, 267, 543, 1433, 8039, 538, 7085, 3317, 1756, 17912, 4750, 267, 17912, 22588, 569, 267, 519, 11968, 13353, 5623, 540, 7734, 267, 543, 3203, 1721, 636, 2593, 269, 2701, 568, 4867, 7905, 543, 17348, 540, 519, 9442, 1982, 693, 8381, 12064, 2160, 538, 11968, 13353, 269, 4173, 1433, 2987, 3491, 28698, 267, 28037, 9047, 779, 26954, 12815, 281, 17912, 3778, 267, 7186, 267, 543, 7736, 9734, 618, 6969, 476, 3422, 271, 267, 568, 896, 4579, 585, 8313, 676, 12052, 2160, 4964, 563, 292, 6614, 4139, 10985, 476, 1708, 272, 454, 1103, 9114, 340, 540, 519, 476, 1708, 272, 7160, 540, 519, 16685, 4139, 10985, 267, 23545, 539, 1813, 547, 13044, 268, 866, 267, 16685, 6799, 1079, 2228, 4487, 5035, 525, 3168, 1394, 543, 6619, 693, 519, 3105, 543, 14232, 16685, 4139, 10985, 269, 0, 25821, 23663, 281, 634, 17943, 454, 2690, 1346, 540, 596, 1007, 547, 4642, 15041, 2153, 3167, 6117, 267, 649, 4363, 513, 1224, 540, 519, 1739, 4930, 912, 268, 9537, 2986, 11272, 30863, 281, 589, 10374, 6651, 454, 268, 9701, 594, 16179, 1323, 11272, 2961, 769, 476, 1708, 272, 888, 268, 5440, 476, 736, 808, 1173, 976, 13242, 769, 634, 11272, 27990, 12752, 2336, 268, 5177, 623, 29888, 24493, 11272, 2961, 16827, 476, 1708, 272, 454, 268, 1548, 1772, 634, 16338, 9737, 1230, 14846, 5754, 1962, 1749, 543, 623, 29888, 24493, 5754, 1962, 1749, 888, 268, 11272, 2961, 5851, 932, 1173, 532, 744, 4041, 309, 12601, 9391, 16827, 454, 268, 7454, 11272, 23663, 476, 1708, 272, 454, 268, 11272, 23663, 16186, 281, 1548, 1772, 654, 299, 9143, 888, 14294, 909, 547, 519, 552, 22271, 7112, 539, 11272, 12389, 20394, 454, 1607, 1772, 589, 5384, 1280, 14506, 269, 1280, 2974, 267, 1306, 15706, 1656, 24371, 267, 1677, 21414, 3776, 20556, 2060, 22994, 1006, 267, 1656, 769, 3487, 7781, 267, 4855, 18467, 1677, 21079, 13574, 11429, 2986, 23663, 2336, 8601, 519, 1764, 540, 519, 27649, 32252, 3512, 593, 519, 9042, 540, 1007, 6517, 538, 519, 5177, 267, 649, 3494, 972, 568, 513, 8988, 16298, 585, 721, 267, 607, 513, 6626, 2486, 269, 1280, 4728, 476, 1708, 271, 267, 3379, 547, 519, 1482, 1974, 2063, 1032, 267, 7373, 5928, 941, 1524, 513, 1713, 476, 2412, 269, 275, 260, 585, 4357, 6517, 543, 476, 5325, 269, 275, 260, 585, 18239, 269, 5729, 3562, 15082, 972, 814, 1044, 513, 6175, 540, 936, 476, 1789, 260, 585, 4357, 543, 18239, 7373, 5928, 563, 291, 19342, 543, 4620, 1503, 4835, 13674, 2599, 630, 21201, 264, 6472, 723, 2938, 519, 1034, 1713, 7771, 538, 4728, 476, 1708, 271, 269, 769, 4728, 476, 1708, 271, 267, 3379, 547, 4728, 476, 1001, 280, 267, 17088, 7373, 5928, 616, 1524, 676, 476, 8618, 269, 280, 260, 543, 4620, 1503, 7373, 5928, 1524, 476, 5392, 269, 280, 18336, 8253, 19599, 267, 9042, 540, 6007, 3887, 10431, 6472, 630, 289, 14110, 338, 264, 723, 4797, 547, 1219, 344, 519, 6626, 2344, 18941, 269, 2353, 3887, 10431, 6517, 610, 6986, 3167, 6517, 2799, 676, 513, 5039, 531, 476, 3192, 269, 275, 260, 538, 4728, 476, 1708, 271, 3379, 547, 4728, 476, 1001, 280, 269, 5729, 3562, 15082, 645, 14110, 338, 616, 909, 476, 14225, 9077, 606, 4230, 15929, 2773, 267, 2016, 519, 2949, 16669, 2344, 269, 1452, 5515, 12927, 606, 1271, 2239, 267, 799, 3549, 899, 552, 22271, 7112, 539, 723, 1044, 11668, 532, 563, 763, 5817, 4909, 7678, 568, 9244, 538, 519, 12797, 540, 3039, 6517, 267, 607, 6800, 3343, 15777, 3435, 585, 6283, 269, 901, 7678, 786, 1152, 3136, 547, 2333, 267, 11489, 971, 942, 267, 4642, 15041, 2153, 3167, 6517, 5372, 3542, 5024, 4835, 13674, 2599, 6517, 269, 634, 14232, 7333, 593, 4620, 1503, 543, 17088, 6517, 786, 6157, 1404, 513, 1909, 538, 11880, 1746, 713, 1184, 267, 971, 602, 649, 1847, 547, 513, 2539, 3327, 4155, 6283, 4346, 538, 519, 5177, 269, 2986, 1576, 267, 1832, 538, 2247, 267, 519, 19692, 649, 22109, 547, 1804, 8397, 12998, 1863, 3167, 6117, 267, 519, 19692, 649, 666, 3035, 1279, 3856, 9072, 540, 4824, 2011, 2298, 2157, 563, 2171, 20882, 782, 2229, 8128, 630, 29985, 267, 6237, 543, 3084, 264, 547, 2697, 1451, 902, 689, 519, 1699, 6433, 547, 14892, 513, 6283, 5943, 543, 2994, 267, 602, 666, 3035, 1279, 3856, 13455, 4324, 547, 2486, 269, 1284, 20882, 519, 1739, 912, 268, 21079, 2123, 9562, 540, 6517, 538, 4872, 676, 476, 4037, 260, 538, 519, 1985, 476, 2190, 3275, 563, 268, 3629, 1732, 1857, 6283, 3435, 543, 3838, 10688, 3435, 267, 547, 1331, 552, 2275, 1513, 267, 552, 1532, 10105, 543, 552, 1606, 1723, 582, 619, 563, 268, 14465, 782, 17088, 6472, 689, 2749, 18013, 609, 7525, 1198, 563, 2171, 849, 20882, 782, 6800, 267, 4357, 543, 18239, 267, 547, 2569, 741, 9562, 540, 6472, 269, 1677, 1711, 6283, 2994, 602, 2333, 3351, 5314, 3928, 540, 6472, 267, 2569, 6472, 630, 325, 548, 564, 2450, 1070, 2539, 6283, 3790, 543, 2539, 5533, 2157, 630, 1515, 543, 6846, 1040, 1284, 20882, 782, 6800, 547, 3077, 513, 476, 2004, 260, 5786, 936, 519, 1985, 476, 2190, 3275, 269, 2986, 1576, 267, 649, 849, 5000, 13868, 1651, 3518, 550, 594, 4753, 7904, 1115, 609, 4642, 15041, 2153, 6007, 3887, 10431, 6472, 630, 289, 14110, 338, 1916, 2690, 1346, 540, 596, 5275, 547, 4444, 12601, 1753, 12123, 2798, 267, 649, 2709, 513, 5318, 2039, 540, 1164, 2298, 543, 1164, 2773, 3167, 1286, 12123, 2798, 693, 8013, 5777, 269, 1284, 849, 2709, 12601, 12123, 15791, 267, 12601, 682, 2084, 543, 3039, 1648, 269, 0, 2304, 17697, 9186, 568, 606, 17499, 10182, 267, 3661, 267, 14882, 267, 610, 8305, 9189, 827, 606, 1367, 610, 1895, 540, 1004, 689, 513, 1514, 1895, 799, 666, 2047, 1860, 938, 2623, 610, 1620, 540, 602, 1895, 563, 3412, 14032, 12886, 666, 2097, 538, 1082, 3029, 269, 2913, 781, 1491, 14227, 4567, 607, 606, 1383, 269, 634, 3661, 602, 1164, 14227, 4567, 1053, 616, 4397, 547, 798, 1134, 593, 13387, 4152, 6466, 1866, 616, 2219, 547, 798, 14605, 1813, 547, 3668, 540, 2200, 568, 606, 17697, 9186, 256, 901, 3661, 666, 17225, 8404, 2157, 543, 666, 2014, 1053, 689, 1970, 14227, 4567, 3885, 547, 1745, 856, 540, 1747, 538, 1153, 607, 789, 12314, 2933, 607, 1373, 834, 12294, 257, 538, 2486, 269, 901, 568, 1946, 621, 568, 1271, 547, 5431, 2212, 593, 950, 596, 616, 1818, 606, 17697, 9186, 543, 2253, 547, 8396, 873, 563, 1692, 1411, 2052, 6435, 454, 2414, 581, 2111, 547, 8396, 707, 17697, 12886, 267, 596, 1590, 1101, 1451, 1018, 789, 616, 269, 901, 17697, 9186, 1449, 786, 948, 596, 4137, 856, 1018, 17697, 12886, 602, 596, 723, 2336, 10743, 267, 581, 1930, 543, 7874, 547, 3025, 1472, 596, 950, 4466, 856, 741, 5198, 267, 14227, 4567, 267, 3092, 269, 2142, 16561, 950, 1565, 1141, 789, 1796, 538, 741, 4978, 543, 7375, 269, 29621, 568, 1883, 256, 0, 290, 26059, 5357, 2975, 8863, 7838, 6224, 645, 9128, 16800, 5990, 681, 9128, 3036, 7246, 3582, 454, 2419, 3420, 729, 519, 1034, 3532, 9872, 538, 2342, 454, 4415, 1379, 936, 1272, 593, 3618, 543, 519, 1310, 5158, 454, 2419, 3420, 10294, 4171, 4332, 729, 16048, 267, 4171, 7365, 729, 1876, 995, 267, 4171, 786, 338, 941, 4570, 454, 27745, 834, 1410, 10919, 6510, 257, 630, 1410, 2850, 689, 5939, 264, 23597, 945, 4769, 1405, 3858, 609, 519, 23464, 454, 7775, 5279, 1875, 935, 14127, 23597, 609, 646, 637, 344, 19439, 762, 676, 2669, 563, 4629, 10933, 5442, 5990, 476, 1428, 8025, 595, 563, 14503, 648, 1338, 17379, 1310, 2669, 540, 22784, 333, 15605, 519, 13804, 881, 550, 538, 476, 14983, 273, 543, 4473, 540, 14205, 517, 541, 7637, 563, 305, 10718, 1185, 17146, 547, 7507, 454, 303, 2100, 25840, 4083, 7722, 538, 2679, 3785, 454, 5611, 277, 910, 853, 269, 22642, 29092, 3821, 630, 289, 14725, 21304, 14024, 2966, 26434, 267, 18466, 32109, 13556, 590, 25434, 30989, 994, 303, 2100, 24955, 2473, 630, 337, 269, 476, 14681, 274, 268, 13923, 272, 264, 13991, 547, 5418, 9778, 630, 2692, 541, 6968, 338, 267, 15976, 3092, 8094, 2414, 2628, 585, 2679, 3785, 267, 15976, 267, 12743, 3753, 3092, 269, 519, 7826, 5939, 3459, 547, 6133, 18656, 326, 1878, 454, 5715, 592, 326, 1878, 815, 3892, 540, 7957, 832, 689, 519, 834, 307, 516, 21204, 540, 8585, 1080, 257, 4534, 513, 4558, 5264, 540, 21045, 1434, 1568, 6394, 689, 25598, 538, 13140, 269, 16429, 2996, 945, 11751, 18656, 326, 1878, 1131, 581, 8483, 1508, 543, 1131, 6108, 1447, 942, 630, 528, 1100, 942, 264, 538, 1625, 326, 2218, 630, 5408, 2630, 994, 763, 29401, 2003, 541, 267, 20435, 570, 28856, 601, 267, 28020, 4421, 1473, 592, 326, 1878, 609, 12300, 795, 24943, 563, 1805, 566, 1063, 3618, 543, 13140, 1141, 4168, 781, 693, 821, 610, 834, 20580, 613, 257, 741, 21359, 563, 15430, 5703, 2168, 3788, 540, 513, 23920, 610, 9006, 23306, 1268, 563, 2750, 281, 623, 19991, 540, 4906, 781, 3444, 267, 7633, 610, 7802, 540, 25598, 267, 11849, 689, 519, 8781, 17382, 3092, 563, 9824, 923, 16668, 8436, 547, 13039, 547, 1745, 6251, 547, 2696, 538, 519, 4527, 540, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 365, 13161, 511, 19764, 478, 13213, 508, 26406, 354, 8147, 21251, 25263, 504, 13601, 25203, 368, 418, 490, 480, 419, 507, 478, 8147, 419, 511, 487, 23523, 483, 31284, 13601, 418, 361, 350, 692, 18411, 11907, 476, 536, 262, 294, 4953, 1315, 325, 822, 6625, 269, 4815, 26824, 270, 272, 269, 272, 315, 337, 14826, 454, 295, 739, 281, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 3519, 3825, 281, 1832, 17038, 633, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 281, 834, 11386, 24904, 21968, 341, 6889, 8660, 2580, 834, 2419, 668, 1756, 21968, 341, 6889, 8660, 2580, 834, 282, 8253, 589, 15952, 21968, 341, 6889, 4200, 257, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 2173, 9394, 281, 7790, 271, 315, 337, 14826, 454, 27165, 5025, 7217, 281, 20787, 8759, 270, 276, 269, 271, 630, 20360, 3298, 24857, 476, 1015, 269, 271, 282, 12736, 5038, 282, 1535, 5038, 264, 11197, 16158, 298, 527, 270, 276, 4391, 269, 3607, 630, 298, 12487, 7876, 267, 899, 2983, 1188, 334, 264, 24904, 270, 8660, 269, 271, 269, 275, 4343, 280, 269, 14625, 6380, 926, 270, 276, 4391, 269, 3607, 315, 337, 14826, 454, 10907, 1061, 281, 3239, 270, 822, 604, 267, 13548, 270, 19986, 335, 267, 13548, 270, 777, 978, 267, 13548, 4882, 341, 326, 21147, 6447, 267, 13548, 270, 24682, 265, 270, 265, 282, 336, 284, 271, 269, 279, 315, 337, 14826, 454, 20376, 6363, 21255, 4149, 924, 281, 1482, 268, 10594, 514, 315, 337, 14826, 454, 20376, 6363, 21255, 5336, 1712, 281, 1100, 2275, 832, 315, 337, 14826, 454, 20376, 6363, 21255, 5937, 652, 281, 3239, 315, 337, 14826, 454, 8269, 19907, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 270, 315, 337, 14826, 454, 10907, 1061, 268, 21886, 5317, 281, 575, 32502, 267, 1219, 17218, 267, 1490, 315, 337, 14826, 454, 10907, 1061, 6441, 4833, 281, 1990, 327, 4211, 301, 267, 30795, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 315, 337, 14826, 28847, 294, 4953, 13644, 371, 418, 365, 480, 418, 366, 350, 20069, 13644, 371, 418, 365, 480, 12916, 497, 8147, 9463, 359, 20069, 17269, 4306, 20069, 13644, 371, 418, 365, 480, 12916, 497, 454, 13644, 371, 418, 365, 480, 421, 355, 500, 27310, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 12916, 497, 454, 315, 337, 14826, 315, 337, 14826, 18263, 489, 12571, 492, 19867, 491, 15159, 13644, 371, 418, 365, 480, 12916, 497, 692, 294, 4953, 13644, 371, 418, 365, 480, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 25263, 504, 418, 498, 378, 21928, 7838, 299, 18263, 489, 12571, 492, 8147, 12916, 510, 5405, 509, 26166, 31176, 366, 7838, 299, 25520, 25263, 510, 27447, 12255, 29004, 362, 8147, 9463, 480, 12255, 18263, 489, 25426, 368, 23284, 261, 25203, 372, 13213, 508, 8147, 417, 28187, 31171, 1504, 286, 4067, 284, 11687, 272, 261, 573, 284, 11277, 27174, 563, 17269, 4306, 25913, 25622, 15159, 418, 488, 488, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 418, 498, 378, 21928, 12487, 9143, 25060, 483, 7511, 13644, 371, 418, 365, 480, 12916, 497, 18809, 25707, 294, 4953, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 27962, 16533, 493, 20069, 30522, 494, 10254, 370, 27818, 18713, 510, 20992, 418, 369, 493, 25335, 486, 417, 503, 357, 28098, 7838, 299, 7511, 421, 499, 379, 18021, 355, 20069, 30522, 494, 10254, 370, 24724, 8147, 26033, 490, 17269, 4306, 25913, 25622, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 418, 366, 350, 20069, 30522, 494, 10254, 370, 25707, 294, 4953, 4970, 492, 17269, 4306, 13644, 371, 418, 365, 480, 21928, 10951, 491, 20693, 350, 419, 360, 363, 420, 492, 371, 9463, 500, 13644, 371, 418, 365, 480, 12255, 29004, 362, 25913, 19764, 493, 21251, 12571, 490, 12486, 692, 7838, 299, 16088, 18713, 505, 421, 481, 357, 26166, 454, 22287, 493, 18777, 362, 16088, 2260, 7709, 16088, 419, 360, 363, 9463, 352, 263, 3199, 8358, 420, 371, 363, 23523, 482, 5405, 509, 320, 284, 272, 261, 321, 284, 273, 692, 11907, 476, 536, 262, 17269, 4306, 1315, 26824, 270, 272, 269, 272, 315, 337, 14826, 454, 295, 739, 281, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 3519, 3825, 281, 1832, 17038, 633, 315, 337, 14826, 454, 32098, 6441, 2654, 281, 476, 4510, 315, 337, 14826, 454, 290, 5995, 4211, 2632, 1503, 281, 3193, 21943, 284, 271, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 281, 834, 11386, 24904, 21968, 341, 6889, 8660, 2580, 834, 2419, 668, 1756, 21968, 341, 6889, 8660, 2580, 834, 282, 8253, 589, 15952, 21968, 341, 6889, 4200, 257, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 2173, 9394, 281, 7790, 271, 315, 337, 14826, 454, 10000, 14079, 24493, 31261, 7304, 3225, 3949, 281, 476, 272, 315, 337, 14826, 454, 27670, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 32098, 6874, 4286, 281, 3498, 24474, 268, 4178, 27322, 268, 584, 6352, 322, 10757, 315, 337, 14826, 454, 27165, 5025, 7217, 281, 20787, 8759, 270, 276, 269, 271, 630, 20360, 3298, 24857, 476, 1015, 269, 271, 282, 12736, 5038, 282, 1535, 5038, 264, 11197, 16158, 298, 527, 270, 276, 4391, 269, 3607, 630, 298, 12487, 7876, 267, 899, 2983, 1188, 334, 264, 24904, 270, 8660, 269, 271, 269, 275, 4343, 280, 269, 14625, 6380, 926, 270, 276, 4391, 269, 3607, 315, 337, 14826, 454, 10907, 1061, 281, 1257, 270, 6255, 6447, 267, 1952, 997, 566, 24474, 6255, 6447, 21147, 6447, 267, 1952, 997, 566, 24474, 6447, 282, 336, 284, 271, 269, 280, 267, 13548, 270, 822, 604, 267, 13548, 270, 19986, 335, 267, 13548, 270, 777, 978, 267, 265, 270, 265, 282, 336, 284, 271, 269, 279, 267, 1952, 997, 566, 4882, 11220, 7721, 4219, 282, 341, 284, 321, 274, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 454, 20376, 6363, 21255, 4149, 924, 281, 1482, 268, 10594, 514, 315, 337, 14826, 454, 20376, 6363, 21255, 5336, 1712, 281, 6330, 315, 337, 14826, 454, 20376, 6363, 21255, 268, 27165, 281, 7790, 272, 315, 337, 14826, 454, 20376, 6363, 21255, 5937, 652, 281, 3561, 315, 337, 14826, 454, 8269, 19907, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 270, 315, 337, 14826, 454, 10907, 1061, 268, 21886, 5317, 281, 575, 32502, 267, 1219, 17218, 267, 1490, 315, 337, 14826, 454, 10907, 1061, 6441, 4833, 281, 1990, 327, 4211, 301, 267, 30795, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 315, 337, 14826, 454, 12528, 284, 260, 292, 278, 260, 11463, 260, 288, 279, 260, 292, 277, 260, 6434, 260, 289, 278, 260, 292, 276, 260, 3445, 260, 279, 291, 261, 335, 23424, 284, 332, 9874, 11277, 28847, 18257, 0, 258, 13127, 372, 481, 16533, 498, 29219, 27818, 321, 944, 24724, 454, 258, 13127, 372, 481, 16533, 498, 29219, 4970, 375, 28884, 17958, 23521, 354, 417, 479, 504, 20881, 375, 20001, 495, 10254, 353, 13161, 511, 454, 258, 13127, 372, 481, 16533, 498, 29219, 13601, 10429, 365, 20069, 4970, 353, 14748, 6936, 13127, 23687, 8771, 454, 258, 6936, 23989, 419, 353, 374, 419, 506, 509, 8771, 23989, 419, 353, 374, 417, 479, 485, 454, 320, 815, 6936, 454, 320, 815, 8771, 454, 2745, 3488, 320, 815, 3299, 320, 264, 258, 513, 815, 8771, 692, 258, 13127, 372, 481, 16533, 498, 29219, 14395, 508, 30522, 483, 31968, 18263, 509, 31271, 508, 30678, 10533, 368, 417, 508, 489, 8147, 12148, 16533, 365, 25203, 372, 25051, 497, 30678, 272, 8147, 16178, 16533, 365, 25203, 372, 25051, 497, 30678, 271, 454, 2745, 263, 272, 1341, 6936, 264, 258, 476, 273, 692, 258, 7183, 27818, 419, 358, 374, 29219, 24724, 454, 258, 7183, 4970, 497, 25426, 357, 17958, 23521, 354, 23989, 419, 353, 374, 21251, 11858, 502, 21928, 454, 321, 815, 7183, 454, 2745, 6357, 264, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5814, 19523, 692, 3698, 1397, 4671, 872, 10857, 1618, 584, 2187, 825, 688, 1393, 584, 4671, 1258, 322, 25507, 10857, 1618, 584, 270, 276, 11924, 272, 454, 825, 952, 630, 26171, 584, 260, 273, 2652, 476, 271, 2187, 1038, 1804, 584, 284, 26171, 584, 266, 272, 454, 825, 952, 1804, 584, 10922, 476, 274, 912, 1038, 959, 517, 322, 6889, 343, 4840, 825, 3116, 912, 1038, 959, 517, 322, 6889, 16282, 343, 4840, 825, 3529, 284, 3269, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 26171, 584, 266, 272, 267, 273, 2187, 1038, 3529, 284, 29728, 1341, 263, 328, 265, 257, 343, 20257, 22487, 10857, 1618, 584, 994, 1038, 3529, 284, 29728, 266, 257, 315, 333, 4840, 825, 585, 1775, 538, 2039, 263, 3873, 1393, 584, 4671, 1258, 322, 2187, 1038, 952, 630, 328, 283, 3873, 1393, 584, 4671, 1258, 322, 268, 272, 2187, 2018, 3529, 284, 29728, 23444, 339, 1258, 322, 1040, 22487, 10857, 1618, 584, 994, 2018, 3529, 284, 29728, 266, 257, 315, 333, 4840, 1038, 3116, 912, 2018, 3529, 284, 29728, 23444, 339, 1258, 322, 1040, 22487, 10857, 1618, 584, 994, 825, 2132, 3529, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 263, 19651, 4671, 872, 17301, 4433, 903, 27769, 341, 314, 272, 316, 30727, 0, 3698, 1293, 29999, 27182, 267, 669, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 4484, 538, 2262, 912, 1038, 952, 4484, 2652, 669, 912, 2018, 1293, 815, 1293, 1341, 476, 272, 454, 825, 2132, 1293, 7531, 5320, 18425, 815, 6151, 17750, 2891, 11767, 519, 2262, 281, 19515, 577, 18425, 815, 6151, 17750, 2891, 11767, 519, 1915, 596, 1616, 547, 1293, 281, 19515, 12248, 15220, 815, 1293, 29999, 27182, 18425, 267, 669, 18425, 994, 2745, 1293, 15220, 454, 0, 5228, 570, 330, 5793, 1104, 2608, 1477, 5814, 570, 330, 5793, 6230, 20687, 7901, 1477, 5814, 4351, 5897, 10174, 815, 570, 330, 3890, 1948, 30720, 3601, 5897, 3698, 6885, 28399, 453, 10174, 269, 613, 5852, 2891, 6110, 343, 4968, 14744, 453, 10174, 26644, 2891, 17806, 3828, 626, 14744, 453, 10174, 269, 20813, 2682, 263, 3724, 3033, 6889, 18872, 14744, 453, 10174, 269, 637, 14184, 263, 271, 267, 271, 3418, 16557, 815, 2715, 272, 281, 271, 348, 1477, 3698, 3014, 318, 1478, 28399, 453, 12803, 815, 1930, 2891, 16557, 318, 13440, 867, 17902, 14824, 337, 14744, 453, 320, 815, 834, 29177, 22610, 1775, 538, 3758, 6769, 453, 453, 320, 815, 1193, 9217, 3418, 453, 453, 321, 815, 703, 9217, 3418, 453, 16557, 314, 272, 316, 815, 536, 1477, 453, 1477, 453, 1477, 453, 1477, 453, 18134, 815, 31108, 20172, 267, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 1789, 12050, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 29228, 3683, 256, 2580, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 4877, 871, 14052, 453, 332, 20687, 318, 272, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 736, 3339, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 7312, 6060, 568, 2580, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 272, 4877, 871, 14052, 453, 332, 20687, 318, 273, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 3374, 12050, 2580, 535, 326, 6889, 19009, 2580, 1257, 30381, 267, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 273, 4877, 871, 14052, 453, 332, 20687, 318, 274, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 1428, 3339, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 11767, 707, 2012, 281, 14307, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 274, 4877, 871, 6600, 650, 284, 311, 3418, 453, 18134, 4877, 871, 31476, 3698, 4688, 28399, 453, 8117, 6958, 9347, 815, 31108, 20172, 267, 536, 326, 6889, 18872, 14744, 453, 338, 1511, 815, 29502, 6357, 583, 6958, 9347, 267, 1257, 6889, 338, 1511, 2580, 536, 323, 284, 279, 267, 536, 326, 6889, 18872, 2580, 325, 326, 6889, 19009, 2580, 13944, 6889, 6635, 658, 476, 1015, 3339, 2580, 4971, 284, 338, 1511, 318, 15263, 3418, 453, 338, 1511, 26769, 14808, 263, 12296, 284, 1015, 267, 4463, 284, 273, 3418, 453, 338, 1511, 4877, 871, 263 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 1114, 4081, 2157, 723, 1114, 1382, 18747, 269, 1703, 616, 1382, 11556, 4574, 585, 18544, 267, 1382, 11556, 4574, 585, 1164, 1153, 267, 2852, 1382, 18747, 543, 6280, 1382, 11556, 4574, 269, 1411, 666, 4444, 1382, 11556, 1957, 689, 2688, 1603, 3028, 1934, 538, 2013, 596, 513, 1265, 513, 1434, 2601, 585, 602, 269, 1703, 616, 1082, 4128, 596, 1131, 1616, 547, 4444, 1382, 11556, 1957, 563, 17843, 3506, 2285, 1788, 10467, 547, 741, 1053, 547, 2328, 269, 26880, 267, 1977, 267, 543, 519, 3703, 946, 519, 2262, 968, 2889, 915, 892, 547, 3277, 547, 1957, 3785, 10467, 602, 616, 2016, 547, 873, 676, 16929, 269, 18768, 616, 1175, 5921, 547, 581, 3476, 543, 811, 1950, 4574, 602, 2241, 3594, 269, 3509, 1053, 786, 1931, 3785, 2228, 689, 2688, 1557, 3135, 2094, 6280, 3785, 543, 2852, 3785, 616, 9157, 4574, 269, 1677, 4444, 513, 1957, 1788, 2228, 267, 596, 798, 621, 899, 596, 1131, 4444, 606, 1557, 563, 2467, 616, 1896, 2010, 540, 1603, 3785, 602, 596, 666, 2628, 513, 5856, 547, 798, 585, 596, 269, 634, 1034, 1455, 616, 1870, 1788, 4574, 267, 4702, 1788, 1603, 267, 6530, 3785, 267, 7350, 1788, 4574, 267, 1686, 1788, 1957, 267, 15257, 1788, 4574, 267, 6280, 1788, 267, 2852, 1788, 267, 543, 1256, 1164, 1153, 1788, 269, 2368, 1788, 1603, 949, 4125, 1239, 2079, 610, 1957, 8039, 269, 10705, 267, 1788, 949, 991, 547, 581, 12649, 1354, 789, 616, 7608, 676, 6280, 8470, 1310, 6881, 269, 1411, 666, 4444, 513, 1788, 1934, 543, 10505, 707, 2907, 2944, 1788, 585, 6169, 15105, 543, 824, 15494, 267, 2523, 952, 596, 616, 606, 3486, 2875, 269, 4107, 3486, 1053, 786, 1904, 547, 1931, 513, 1788, 2228, 1317, 621, 568, 4443, 547, 2628, 513, 5856, 547, 798, 707, 1788, 593, 519, 4950, 982, 2348, 547, 2328, 621, 3054, 543, 23590, 621, 1082, 2053, 563, 25324, 24070, 4633, 568, 835, 540, 519, 1034, 2854, 4574, 2228, 269, 7896, 9513, 10388, 4633, 1603, 723, 5830, 7463, 593, 519, 1641, 269, 4841, 9090, 4444, 10388, 18531, 2228, 1360, 1419, 269, 589, 10388, 4633, 568, 2356, 1759, 593, 513, 11786, 1641, 269, 4475, 267, 596, 666, 1152, 2628, 513, 5856, 2228, 547, 798, 513, 10388, 4633, 593, 606, 3390, 602, 786, 6318, 930, 7521, 269, 3509, 5396, 1775, 891, 11786, 2053, 616, 6098, 676, 10388, 18531, 269, 2368, 540, 519, 1888, 1331, 281, 29480, 18531, 593, 14447, 7365, 610, 10388, 18531, 1482, 3023, 22888, 267, 10388, 4633, 593, 3854, 10751, 610, 10388, 4633, 593, 519, 2669, 15163, 267, 10388, 4633, 593, 7784, 9562, 610, 7784, 1852, 267, 10388, 4633, 593, 2916, 1689, 610, 2825, 5533, 10388, 4633, 269, 1703, 568, 606, 11995, 1592, 540, 3134, 1227, 11786, 3584, 585, 799, 596, 666, 4444, 513, 10388, 4633, 1957, 269, 29480, 4633, 593, 11980, 267, 6138, 10388, 4633, 267, 10269, 946, 10388, 4633, 267, 2112, 593, 9810, 10388, 4633, 267, 946, 540, 17089, 10388, 4633, 610, 3656, 1944, 17089, 10388, 4633, 267, 10388, 4633, 593, 16377, 552, 30984, 10388, 4633, 267, 543, 1896, 824, 11786, 3584, 616, 930, 540, 519, 5230, 12035, 563, 25324, 24070, 18531, 723, 513, 1279, 1686, 267, 4098, 609, 14163, 582, 27318, 17748, 540, 30373, 269, 901, 568, 1141, 519, 1523, 540, 31672, 267, 27291, 267, 543, 2619, 657, 568, 1031, 538, 1603, 602, 568, 1634, 607, 17127, 779, 20116, 269, 4107, 540, 10388, 18531, 1118, 946, 540, 17127, 779, 20116, 1256, 1510, 519, 5856, 6616, 269, 4634, 1034, 1053, 2628, 2228, 585, 948, 609, 513, 10388, 4633, 540, 713, 1826, 269, 26189, 832, 1419, 2307, 585, 971, 4574, 267, 543, 18867, 267, 1053, 1931, 10388, 4633, 4574, 1210, 741, 14357, 779, 4633, 1557, 5528, 269, 1411, 666, 2705, 4444, 513, 10388, 4633, 1957, 540, 1022, 1826, 563, 10743, 616, 1419, 4280, 547, 2328, 1870, 5359, 538, 741, 9757, 3506, 269, 6355, 2090, 5359, 2154, 602, 519, 2875, 27786, 513, 1483, 1870, 543, 11339, 1524, 519, 2143, 2470, 540, 519, 1870, 538, 519, 1867, 269, 5502, 540, 1603, 513, 1957, 1034, 1053, 786, 2628, 693, 513, 2688, 1603, 3028, 547, 723, 519, 5359, 2944, 676, 3318, 5830, 269, 18766, 689, 1603, 5359, 267, 5561, 945, 4444, 1870, 5359, 693, 2688, 1603, 3028, 723, 519, 12257, 540, 8391, 513, 1867, 602, 2882, 2079, 540, 519, 1870, 3510, 540, 519, 1808, 2754, 538, 2243, 269, 2368, 1870, 5359, 786, 991, 547, 723, 513, 17335, 5588, 2079, 2944, 1247, 1866, 786, 2154, 7059, 6060, 3556, 1867, 269, 2353, 891, 3877, 2154, 513, 5856, 4810, 538, 1603, 2688, 1870, 5359, 563, 288, 1870, 2090, 1867, 568, 7429, 513, 10750, 1557, 269, 1879, 596, 4444, 513, 1870, 1867, 267, 596, 2503, 519, 2688, 5856, 547, 8495, 519, 1641, 540, 519, 1867, 8499, 269, 6969, 519, 4417, 540, 519, 1357, 267, 713, 1131, 2154, 519, 2688, 5856, 547, 3643, 519, 1808, 1870, 22402, 543, 2911, 547, 606, 9441, 547, 3489, 1239, 543, 606, 1202, 3187, 6644, 547, 948, 2328, 519, 1870, 1867, 269, 1717, 267, 2221, 267, 4687, 540, 1344, 814, 1831, 1454, 4443, 543, 513, 6075, 666, 4444, 513, 1870, 1867, 2228, 543, 519, 5856, 666, 1569, 1344, 593, 519, 4950, 269, 901, 1259, 267, 513, 5856, 568, 2111, 547, 948, 609, 519, 1870, 2090, 1867, 1603, 1510, 2348, 547, 3346, 2359, 693, 519, 2754, 269, 1280, 1383, 267, 952, 513, 6075, 17188, 519, 2228, 5856, 547, 798, 513, 1870, 1867, 593, 9786, 267, 621, 1131, 581, 590, 529, 2988, 515, 534, 4305, 547, 2119, 547, 1205, 606, 5967, 609, 519, 16628, 610, 1256, 9291, 27176, 269, 898, 568, 1454, 4443, 547, 1382, 2228, 543, 581, 2111, 547, 948, 519, 2875, 2328, 1870, 1867, 269, 589, 6325, 2688, 1603, 3028, 814, 1382, 2200, 547, 948, 798, 1867, 4574, 563, 19185, 547, 2628, 606, 2228, 5856, 547, 798, 707, 2376, 2689, 1957, 286, 2353, 2186, 540, 2376, 8039, 616, 2944, 593, 2688, 1603, 2533, 2228, 269, 2296, 2376, 8039, 267, 2257, 2376, 8039, 267, 6323, 2376, 8039, 6530, 2376, 8039, 543, 1256, 7350, 2376, 8039, 666, 782, 581, 2854, 676, 513, 6325, 2228, 3028, 952, 596, 4444, 873, 269, 1677, 4444, 606, 2376, 2689, 1957, 267, 513, 2875, 2115, 547, 723, 519, 2376, 3294, 585, 519, 5856, 547, 1569, 269, 4475, 267, 950, 9140, 519, 2376, 2689, 1557, 267, 621, 568, 929, 644, 550, 547, 4647, 519, 1957, 543, 8936, 621, 547, 519, 1957, 1931, 593, 519, 4950, 269, 634, 13613, 666, 581, 2944, 693, 519, 1808, 16048, 2688, 1603, 3028, 610, 513, 6325, 2228, 4859, 269, 634, 4859, 585, 519, 2376, 547, 581, 12649, 666, 581, 593, 8835, 610, 538, 519, 1153, 5399, 269, 769, 1776, 2665, 267, 513, 6075, 666, 4444, 543, 2376, 2689, 1557, 543, 2995, 519, 5856, 547, 1413, 585, 519, 2376, 593, 519, 4950, 952, 519, 2376, 547, 581, 12649, 538, 1930, 2228, 563, 16240, 606, 1557, 568, 711, 2653, 269, 901, 568, 2523, 865, 952, 519, 1557, 547, 581, 2854, 568, 547, 581, 1031, 585, 4081, 5301, 269, 13298, 982, 2328, 606, 1557, 267, 621, 568, 811, 10375, 547, 4444, 519, 1557, 693, 513, 10464, 3902, 689, 2228, 1603, 3028, 269, 901, 1557, 9513, 3896, 666, 581, 1022, 540, 519, 1082, 593, 519, 4950, 269, 1717, 267, 513, 2875, 814, 547, 1265, 513, 3135, 602, 23619, 3594, 693, 513, 14949, 3902, 269, 23225, 1004, 786, 1449, 1518, 547, 15962, 17511, 856, 1153, 3594, 269, 9717, 513, 4960, 267, 1034, 1053, 786, 2628, 513, 5856, 547, 798, 741, 1957, 2228, 269, 11153, 7687, 1118, 1053, 8572, 547, 4444, 1557, 2228, 563, 5278, 4574, 12349, 2228, 616, 12215, 540, 824, 2875, 779, 4574, 267, 3006, 1004, 538, 519, 1482, 1362, 269, 2368, 1603, 4609, 616, 711, 9237, 543, 4782, 547, 1118, 2656, 2724, 676, 4758, 1053, 4574, 689, 2376, 6538, 269, 11408, 4444, 1557, 689, 4609, 602, 2328, 707, 1957, 2687, 547, 707, 5528, 543, 1310, 596, 723, 10288, 707, 1957, 269, 634, 824, 20159, 568, 2724, 269, 6732, 2688, 3594, 666, 581, 10464, 610, 7199, 547, 4444, 269, 898, 568, 1152, 10257, 547, 4444, 1557, 689, 1603, 2533, 602, 2709, 1164, 2298, 3594, 585, 513, 4023, 10464, 3902, 267, 855, 711, 2731, 1932, 10464, 269, 1975, 2056, 513, 2370, 2724, 547, 4444, 606, 14849, 1557, 666, 4688, 513, 2875, 513, 2603, 540, 5855, 543, 7118, 873, 513, 1434, 3446, 269, 9796, 547, 723, 606, 1557, 2854, 543, 596, 786, 28231, 519, 2640, 540, 519, 3606, 942, 2813, 543, 519, 2533, 540, 606, 4274, 5856, 563, 291, 2632, 6633, 856, 1603, 18646, 727, 4574, 543, 10467, 269, 16179, 513, 1382, 1957, 689, 1934, 543, 3207, 25678, 11489, 14182, 563, 2252, 596, 1616, 547, 4444, 513, 1382, 1957, 267, 1934, 568, 1018, 596, 1058, 917, 827, 9140, 1022, 1957, 540, 713, 1826, 2228, 269, 3194, 4574, 616, 1018, 741, 2012, 5267, 269, 1677, 4444, 513, 1382, 1957, 596, 723, 547, 798, 621, 593, 513, 3135, 1141, 5830, 798, 1483, 1382, 269, 11370, 3539, 513, 840, 25740, 1382, 1957, 666, 581, 29070, 1317, 596, 786, 723, 2047, 1500, 946, 540, 1570, 602, 1522, 581, 16175, 10268, 593, 519, 4950, 269, 898, 568, 4061, 1898, 602, 596, 4444, 707, 1378, 1382, 1957, 269, 4841, 4444, 1382, 1957, 1317, 621, 568, 942, 10438, 543, 1419, 4831, 335, 8793, 547, 2328, 707, 1378, 1382, 1957, 950, 972, 616, 1082, 824, 1919, 547, 798, 269, 5675, 1382, 4574, 568, 513, 3454, 532, 26035, 543, 1053, 1265, 2933, 12008, 936, 741, 2835, 1603, 1382, 4574, 1247, 972, 616, 4609, 596, 666, 4444, 513, 1382, 1957, 2228, 1510, 1022, 2042, 269, 1411, 1058, 711, 12483, 3257, 971, 960, 1317, 596, 666, 723, 3054, 693, 519, 1283, 522, 519, 1362, 1454, 3362, 269, 3807, 4444, 513, 1382, 1957, 689, 1934, 563, 288, 2875, 666, 946, 3732, 1557, 585, 513, 3099, 540, 5301, 269, 589, 3732, 1557, 666, 581, 11643, 547, 519, 14357, 952, 519, 1053, 616, 4280, 547, 2285, 513, 3732, 540, 1018, 789, 1131, 2328, 269, 769, 713, 2013, 267, 519, 2875, 1131, 991, 547, 4444, 519, 3732, 1557, 865, 602, 621, 568, 17096, 1863, 269, 589, 3732, 1557, 666, 849, 581, 11751, 585, 519, 3483, 540, 6476, 865, 602, 519, 2875, 11339, 606, 1557, 602, 814, 519, 1482, 2497, 543, 2093, 1510, 2731, 12735, 3511, 1944, 519, 3312, 3732, 1557, 269, 1703, 616, 4648, 945, 786, 849, 4444, 3732, 1557, 585, 519, 3483, 540, 1382, 610, 1702, 269, 6270, 5439, 723, 547, 581, 2854, 676, 4966, 693, 513, 3318, 1377, 267, 2161, 12854, 610, 27587, 1377, 269, 589, 3732, 4487, 779, 1557, 1058, 1397, 782, 3344, 540, 1382, 543, 22464, 269, 1411, 1058, 4061, 4444, 3318, 1377, 3732, 3594, 952, 789, 616, 547, 581, 1031, 585, 1382, 269, 15706, 666, 849, 4444, 513, 3732, 1557, 607, 513, 1259, 540, 4152, 513, 1007, 2688, 1603, 3028, 269, 1403, 519, 3732, 1557, 568, 1434, 267, 1287, 621, 568, 10257, 547, 3136, 9140, 4574, 689, 602, 1603, 3135, 563, 2467, 616, 1896, 13946, 1846, 585, 1004, 945, 1616, 547, 4444, 2165, 4574, 2228, 269, 17616, 267, 972, 616, 1896, 2010, 540, 10467, 602, 513, 2875, 945, 6499, 547, 4444, 513, 1957, 666, 6718, 936, 519, 4950, 269, 6969, 519, 4417, 540, 17096, 10992, 3301, 585, 9236, 513, 11643, 1957, 1996, 4950, 1543, 267, 972, 941, 1603, 2533, 5356, 840, 25740, 2165, 4574, 547, 1053, 269, 1323, 1367, 1223, 4444, 513, 2165, 1957, 689, 891, 2228, 2533, 543, 10505, 621, 952, 621, 3514, 519, 4170, 540, 519, 1576, 269, 1717, 267, 1004, 945, 4444, 513, 2165, 1957, 689, 891, 1603, 2533, 5781, 917, 602, 519, 840, 25740, 4574, 10355, 2743, 1576, 4170, 269, 898, 568, 811, 19624, 547, 1413, 585, 513, 2688, 1603, 3028, 1141, 596, 666, 6718, 513, 2165, 1957, 602, 568, 1813, 538, 513, 1906, 3108, 269, 6270, 2165, 4574, 616, 2854, 593, 942, 543, 9447, 1310, 1373, 13761, 585, 17096, 269, 1411, 616, 1287, 2111, 547, 10505, 971, 513, 1957, 998, 2490, 527, 514, 269, 4475, 267, 952, 707, 14357, 6499, 596, 547, 946, 2490, 527, 514, 267, 519, 1655, 4781, 568, 547, 4444, 513, 2165, 1957, 689, 6325, 2688, 1603, 3028, 563, 291, 1170, 31277, 616, 3318, 1377, 4574, 602, 1022, 25719, 610, 12854, 2875, 1058, 2503, 547, 2328, 538, 1354, 12032, 540, 519, 1576, 269, 2368, 1647, 1377, 12621, 949, 723, 1053, 798, 4744, 31277, 267, 855, 593, 513, 4130, 4336, 269, 1280, 1383, 267, 513, 12854, 2875, 949, 798, 606, 476, 3199 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3667, 815, 1592, 9272, 14061, 20889, 15405, 24987, 815, 834, 27029, 323, 551, 815, 31460, 3698, 2079, 12169, 712, 8217, 267, 707, 18380, 2187, 825, 585, 1775, 538, 707, 8217, 912, 1038, 952, 1775, 538, 707, 18380, 912, 2018, 707, 18380, 5157, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 707, 18380, 5157, 316, 815, 476, 272, 692, 534, 4519, 29495, 28504, 551, 994, 10946, 318, 4486, 815, 3193, 5560, 551, 267, 1883, 284, 323, 551, 10947, 994, 2745, 32384, 318, 4486, 269, 21639, 15405, 0, 258, 24105, 2230, 585, 3965, 538, 519, 4871, 454, 3147, 17342, 2639, 4472, 17342, 2639, 258, 1721, 1843, 4871, 454, 5035, 4871, 912, 825, 1948, 2958, 3563, 1599, 585, 519, 6075, 2272, 454, 825, 1219, 11578, 4311, 2187, 1038, 2518, 533, 454, 1038, 1101, 11243, 815, 3403, 2891, 11767, 707, 3689, 8745, 2433, 5602, 1038, 2063, 11243, 815, 3403, 2891, 11767, 707, 7831, 2012, 2433, 5602, 1038, 533, 815, 6075, 6600, 1009, 11243, 267, 18431, 11243, 994, 1038, 533, 6983, 2396, 518, 11243, 4590, 258, 1721, 8629, 6075, 454, 5035, 6075, 10031, 825, 1948, 13440, 1758, 1125, 519, 6075, 609, 1101, 2012, 543, 2063, 2012, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 11243, 267, 18431, 11243, 2187, 1038, 1582, 8807, 1009, 11243, 815, 1101, 11243, 454, 1038, 1582, 16096, 11243, 815, 2063, 11243, 454, 1038, 1948, 1721, 519, 10805, 6075, 781, 2272, 609, 2012, 454, 825, 1219, 6075, 11243, 4311, 2187, 1038, 2518, 934, 454, 1038, 2518, 2545, 454, 1038, 2545, 6910, 263, 271, 994, 1038, 934, 6910, 4311, 8807, 1009, 11243, 266, 834, 834, 266, 1345, 16096, 11243, 994, 1038, 1820, 28361, 333, 2659, 2272, 1967, 14673, 569, 3742, 14826, 5073, 1038, 1948, 24119, 21627, 1599, 454, 825, 1219, 16005, 4311, 2187, 1038, 4283, 3147, 25507, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27328, 1038, 4283, 24119, 25507, 9272, 2891, 8649, 870, 540, 2724, 2433, 27363, 1038, 2545, 314, 10938, 3147, 316, 6834, 4283, 24119, 454, 1038, 585, 1535, 538, 2039, 12759, 263, 3147, 15892, 2018, 1820, 19629, 333, 3600, 870, 7089, 2433, 14307, 1535, 2073, 27719, 333, 6075, 281, 257, 2073, 934, 20572, 3910, 27719, 333, 18696, 2433, 681, 335, 1701, 2073, 2545, 20572, 3910, 27719, 333, 15419, 825, 1219, 11198, 4311, 2187, 1038, 2518, 2545, 454, 1038, 4283, 3147, 284, 703, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27363, 1038, 4283, 26920, 815, 703, 9272, 2891, 8649, 870, 540, 2724, 2433, 27363, 1038, 2545, 314, 10938, 3147, 316, 20699, 4283, 26920, 454, 1038, 585, 1535, 538, 2039, 630, 6352, 263, 3147, 15892, 2018, 1820, 9497, 315, 333, 10055, 7089, 2433, 2580, 1535, 2073, 1412, 315, 333, 6075, 281, 3299, 934, 20572, 3910, 27719, 333, 18696, 2433, 681, 335, 1701, 267, 2545, 20572, 3910, 27719, 333, 15419, 825, 1219, 2638, 25270, 4311, 2187, 1038, 2518, 934, 454, 1038, 2518, 2545, 454, 1038, 4283, 3147, 815, 703, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27363, 1038, 1820, 19629, 333, 10055, 7089, 2433, 2580, 4283, 3147, 267, 27719, 333, 6075, 2433, 2580, 934, 314, 10938, 3147, 3910, 27719, 333, 3666, 2433, 681, 335, 1701, 267, 2545, 314, 10938, 3147, 3910, 27719, 333, 5602, 258, 1721, 782, 519, 12981, 538, 519, 11083, 300, 454, 12252, 815, 476, 272, 454, 6112, 4971, 256, 284, 271, 10778, 825, 1820, 2891, 8702, 1677, 5020, 14826, 5602, 825, 1820, 2891, 15675, 513, 11834, 14826, 5602, 825, 1820, 2891, 271, 269, 304, 3726, 5602, 825, 1820, 2891, 272, 269, 8802, 3563, 5602, 825, 1820, 2891, 273, 16638, 4146, 5602, 825, 1820, 2891, 274, 6185, 788, 21627, 5602, 825, 1820, 2891, 275, 269, 4415, 9526, 5602, 825, 1820, 2891, 276, 11065, 531, 766, 6176, 14826, 5602, 825, 4971, 25507, 9272, 2891, 15675, 519, 11834, 2433, 27363, 825, 1948, 15578, 25265, 3198, 9169, 5442, 5990, 11083, 300, 631, 21815, 12114, 9215, 667, 4488, 22432, 4888, 312, 13138, 23177, 3722, 3582, 454, 825, 952, 4971, 2652, 272, 10778, 1038, 536, 815, 4871, 4590, 1038, 536, 269, 2958, 3563, 4590, 825, 8640, 4971, 2652, 273, 912, 1038, 585, 1535, 538, 2039, 630, 6352, 263, 3147, 15892, 2018, 1820, 9497, 315, 333, 10055, 7089, 24333, 343, 2437, 315, 333, 6075, 24333, 343, 2437, 315, 333, 3666, 2433, 681, 335, 1701, 267, 2545, 20572, 316, 2437, 315, 333, 5602, 825, 8640, 4971, 2525, 274, 912, 1038, 533, 6155, 788, 21627, 4590, 825, 8640, 4971, 2652, 275, 10778, 1038, 533, 269, 5976, 9526, 4590, 825, 8640, 4971, 2525, 276, 912, 1038, 533, 269, 13765, 25270, 4590, 825, 8640, 4971, 2525, 271, 912, 1038, 1820, 9497, 8450, 1411, 8921, 5384, 5602, 825, 3116, 10778, 1038, 1820, 9497, 8333, 663, 32148, 15419, 0, 1029, 10461, 1029, 815, 1412, 338, 784, 13885, 836, 28847, 258, 9502, 585, 513, 476, 9352, 3529, 6843, 454, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 3597, 267, 513, 3529, 6843, 454, 825, 1948, 7711, 12407, 2040, 267, 606, 8870, 454, 825, 1948, 7711, 8873, 513, 1630, 18978, 454, 825, 1219, 9041, 2181, 24576, 4311, 267, 3597, 2187, 1038, 1780, 7531, 825, 1219, 814, 26073, 11764, 4311, 267, 3597, 267, 2040, 2187, 1038, 1582, 11519, 8999, 815, 3597, 22183, 454, 1038, 952, 3597, 16000, 912, 2018, 1582, 11519, 8999, 6834, 9041, 2181, 24576, 20172, 16000, 994, 1038, 8640, 3597, 16192, 912, 2018, 1582, 11519, 8999, 6834, 9041, 2181, 24576, 20172, 16192, 2020, 692, 0, 258, 3503, 606, 3498, 547, 1265, 1297, 540, 1624, 675, 2325, 540, 1142, 20262, 538, 513, 2016, 5569, 692, 5320, 815, 3403, 3488, 11767, 1022, 5569, 281, 1412, 2020, 341, 578, 1564, 815, 27835, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 262, 10926, 323, 815, 2715, 10926, 1721, 669, 538, 2262, 912, 825, 952, 669, 538, 24008, 912, 1038, 546, 314, 577, 316, 815, 546, 10947, 263, 577, 267, 476, 271, 264, 1341, 476, 272, 692, 1721, 737, 267, 642, 538, 15044, 5560, 29096, 3890, 2187, 825, 1820, 2891, 24001, 1624, 3293, 15079, 2053, 2668, 8971, 17347, 267, 642, 4917, 0, 258, 744, 17162, 26914, 291, 2177, 3201, 291, 281, 3503, 513, 1599, 602, 3854, 3278, 519, 1101, 543, 8772, 5022, 540, 513, 2012, 7531, 3698, 2025, 8548, 659, 323, 10735, 19304, 17107, 825, 20105, 6958, 1009, 15461, 318, 628, 2273, 815, 1193, 11468, 274, 4940, 5115, 1388, 1125, 4590, 825, 20105, 6958, 712, 628, 15461, 318, 6135, 815, 1193, 314, 274, 281, 4940, 5115, 1388, 1125, 10797, 825, 31194, 6958, 1009, 318, 663, 6958, 712, 628, 815, 20105, 6958, 1009, 15461, 318, 628, 2273, 1341, 20105, 6958, 712, 628, 15461, 318, 6135, 692, 825, 2132, 31194, 6958, 1009, 318, 663, 6958, 712, 628, 7531, 14310, 815, 2025, 8548, 659, 323, 10735, 3488, 332, 659, 323, 10735, 17210, 2745, 31114, 994, 0, 338, 815, 3403, 2891, 11767, 4845, 281, 834, 2020, 4289, 5334, 815, 521, 21858, 10797, 516, 2091, 8217, 815, 29129, 1721, 2262, 538, 1592, 5334, 912, 825, 9258, 8217, 6910, 27182, 11468, 18737, 272, 20285, 16059, 815, 1412, 29717, 21860, 263, 516, 2091, 8217, 2020, 2745, 263, 16059, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 12041, 281, 966, 308, 1323, 327, 570, 10224, 454, 258, 7711, 14630, 281, 567, 476, 1001, 279, 268, 1015, 268, 1556, 476, 2537, 281, 6187, 281, 1015, 454, 258, 7711, 8310, 3525, 1881, 676, 281, 567, 966, 308, 1323, 327, 570, 10224, 454, 258, 7711, 8310, 3525, 1881, 942, 281, 476, 1001, 279, 268, 1015, 268, 1321, 476, 1015, 281, 4366, 281, 5379, 454, 258, 7711, 27270, 281, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 28766, 28590, 271, 270, 3667, 3491, 28698, 1532, 541, 2987, 7308, 8410, 18030, 692, 5228, 942, 1104, 3207, 692, 3698, 1820, 318, 2889, 28698, 318, 8663, 263, 28375, 267, 2698, 267, 18772, 815, 1412, 3682, 28698, 281, 3299, 21879, 815, 1412, 4467, 921, 1540, 3299, 17447, 815, 476, 273, 267, 3259, 815, 476, 2004, 267, 6445, 815, 1412, 16123, 486, 262, 2187, 825, 2600, 815, 9497, 346, 271, 281, 1701, 1341, 1193, 263, 20657, 7769, 264, 1341, 834, 325, 348, 20257, 8971, 263, 1911, 265, 28375, 14121, 4973, 994, 825, 4904, 28747, 815, 703, 10857, 2654, 265, 28375, 2260, 20135, 994, 825, 3046, 815, 6445, 265, 325, 2683, 28747, 1341, 25023, 16732, 26319, 23752, 28747, 994, 825, 1820, 28361, 337, 260, 338, 1923, 260, 338, 347, 4939, 338, 260, 260, 630, 260, 323, 270, 260, 323, 264, 262, 4939, 630, 2181, 25785, 267, 3046, 267, 2600, 267, 21767, 267, 2698, 1070, 1439, 815, 1412, 315, 337, 5073, 825, 952, 21767, 2652, 2698, 912, 1038, 1820, 28361, 337, 260, 338, 1923, 260, 338, 347, 4939, 338, 260, 260, 630, 260, 323, 270, 260, 323, 264, 4939, 338, 262, 4939, 630, 2181, 25785, 267, 3046, 267, 2600, 267, 21767, 267, 2698, 267, 21879, 1070, 1439, 815, 1412, 315, 337, 5073, 1038, 1820, 30800, 3698, 1292, 10031, 825, 3688, 815, 1592, 263, 9792, 263, 271, 267, 476, 5611, 4917, 825, 561, 815, 7003, 263, 19477, 2020, 825, 1820, 318, 2889, 28698, 318, 8663, 263, 271, 267, 561, 264, 1948, 3355, 1125, 454, 825, 585, 1775, 267, 6221, 538, 26246, 263, 19477, 2187, 1038, 3207, 263, 271, 269, 272, 264, 1948, 798, 8631, 454, 1038, 1820, 318, 2889, 28698, 318, 8663, 9217, 1341, 476, 272, 267, 561, 264, 1948, 9337, 3356, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 258, 815, 25275, 2525, 454, 258, 7689, 476, 273, 454, 258, 14581, 269, 17130, 476, 275, 454, 258, 815, 25275, 2525, 692, 328, 23919, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 10780, 16417, 9686, 6459, 5284, 370, 23845, 3264, 281, 19515, 604, 7003, 9217, 23919, 264, 2652, 476, 271, 912, 825, 1775, 23919, 815, 834, 396, 506, 4709, 22147, 5284, 379, 3378, 26580, 10948, 21170, 13150, 9841, 16068, 10528, 16417, 9686, 3264, 31124, 20046, 17095, 22147, 17221, 28821, 8563, 21162, 13953, 18194, 25986, 4736, 3378, 20265, 4709, 4736, 21660, 10780, 19757, 4736, 5284, 371, 20265, 16021, 23783, 4709, 21134, 27188, 4814, 13833, 4709, 3264, 5016, 2745, 6600, 262, 396, 508, 16648, 13077, 16648, 19277, 9924, 27593, 27671, 3378, 3264, 10780, 16417, 9686, 6459, 5284, 370, 23845, 3264, 281, 834, 346, 328, 23919, 348, 257, 5073, 2745, 3488, 396, 510, 3264, 13194, 7846, 23783, 4344, 19277, 16068, 16648, 13077, 16648, 30324, 24012, 281, 5073, 339, 5404, 318, 2993, 815, 1775, 23919, 21858, 3488, 30386, 1721, 7329, 343, 267, 1605, 332, 538, 26246, 6025, 5404, 318, 2993, 267, 476, 272, 2187, 825, 1820, 6600, 257, 346, 30915, 348, 2715, 324, 12661, 952, 7003, 16216, 12661, 264, 10922, 1015, 3116, 1605, 332, 11468, 1015, 316, 348, 5602, 0, 258, 815, 25275, 2525, 454, 258, 7689, 476, 272, 454, 258, 14581, 454, 258, 17130, 476, 273, 454, 258, 815, 25275, 2525, 692, 328, 22710, 815, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 3264, 7549, 7846, 4709, 9686, 630, 20500, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 264, 27328, 2745, 2891, 29551, 9924, 11714, 8563, 3264, 20434, 2580, 1775, 22710, 2020, 5632, 322, 5334, 815, 1775, 22710, 4939, 476, 2568, 454, 328, 22710, 815, 1775, 22710, 12262, 476, 2568, 11434, 1948, 1631, 621, 568, 3764, 692, 5632, 322, 8548, 815, 1775, 22710, 4939, 476, 2568, 454, 5632, 322, 20189, 815, 1775, 22710, 12262, 476, 2568, 692, 2745, 6600, 257, 396, 501, 20265, 13953, 16021, 267, 24893, 26580, 11714, 16044, 482, 18775, 9261, 3522, 16021, 554, 327, 281, 7825, 281, 1087, 16044, 491, 26580, 11714, 9924, 15671, 31124, 9686, 4138, 4344, 17095, 3522, 7549, 2715, 5632, 322, 20189, 281, 271, 285, 273, 323, 348, 281, 346, 5632, 322, 8548, 281, 271, 285, 273, 323, 348, 281, 346, 5632, 322, 5334, 281, 271, 285, 273, 323, 348, 5602, 0, 258, 14581, 281, 476, 7689, 476, 275, 269, 17130, 476, 274, 692, 12163, 396, 498, 31124, 476, 24893, 25986, 3264, 6459, 476, 11714, 476, 10780, 16417, 9686, 3264, 20977, 17153, 476, 16068, 4344, 476, 476, 736, 476, 18194, 3378, 476, 476, 13301, 476, 21660, 13953, 28821, 476, 24893, 25986, 20977, 267, 476, 17095, 13077, 4344, 21162, 3264, 476, 736, 15800, 20434, 476, 2641, 269, 2843, 507, 3264, 29652, 17153, 19757 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1657, 267, 2519, 593, 19766, 21585, 1315, 23155, 14409, 1315, 32655, 15350, 15339, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 2221, 781, 3992, 1141, 649, 786, 2263, 519, 1523, 540, 934, 738, 4851, 256, 6452, 738, 4851, 4016, 547, 519, 1184, 540, 15268, 547, 513, 1007, 2528, 1247, 1869, 4509, 835, 781, 1378, 2686, 3961, 269, 5994, 3001, 547, 513, 1007, 2197, 910, 875, 1131, 596, 4188, 547, 741, 9821, 267, 5389, 267, 543, 1259, 540, 1272, 286, 2334, 568, 1018, 934, 738, 4851, 568, 782, 827, 2439, 4131, 781, 1491, 519, 1383, 540, 12756, 945, 5063, 6410, 689, 6792, 547, 519, 2136, 2276, 609, 1200, 1920, 269, 2311, 1101, 267, 1352, 1336, 621, 2182, 547, 3514, 538, 1317, 1004, 12038, 2296, 267, 799, 729, 1114, 689, 5053, 267, 1200, 5065, 1893, 269, 2701, 849, 8068, 602, 4892, 17696, 1114, 5686, 540, 1426, 267, 19557, 547, 1114, 2575, 267, 543, 1185, 1114, 1514, 8155, 982, 5165, 15092, 1705, 269, 1717, 267, 936, 942, 267, 12756, 3459, 547, 1451, 2296, 267, 2119, 1007, 3536, 899, 554, 27304, 619, 543, 3905, 5243, 267, 6432, 547, 1402, 2575, 267, 543, 1174, 1977, 9821, 971, 607, 24373, 3946, 3079, 540, 21098, 532, 1750, 4060, 950, 28551, 2576, 269, 4634, 1498, 1352, 9862, 547, 891, 2242, 267, 12756, 4769, 1405, 7340, 1200, 11204, 6561, 282, 1352, 4797, 6340, 5053, 693, 1753, 267, 14120, 11204, 14812, 267, 543, 5986, 2757, 11204, 8286, 269, 901, 568, 606, 5140, 1383, 540, 3811, 934, 738, 4851, 2439, 3086, 1577, 781, 2911, 827, 1945, 1572, 834, 516, 5554, 542, 2437, 799, 4249, 513, 1713, 1909, 538, 1082, 1004, 781, 2729, 1282, 519, 934, 738, 4851, 1184, 269, 15215, 1419, 2488, 4313, 267, 5583, 267, 543, 513, 2631, 540, 2146, 585, 2043, 269, 1879, 12756, 8452, 538, 519, 772, 2529, 1421, 1352, 3323, 11504, 513, 2199, 7826, 5939, 2094, 1352, 8057, 909, 8026, 30871, 538, 6792, 269, 1635, 11173, 547, 2259, 1200, 5132, 267, 12756, 5433, 811, 6899, 543, 1447, 14221, 827, 1373, 538, 513, 1007, 1747, 269, 4935, 267, 4984, 6039, 607, 513, 8115, 8220, 1200, 2025, 2528, 547, 1200, 1007, 1604, 267, 4543, 1200, 1745, 5150, 543, 16135, 2429, 519, 934, 738, 4851, 3460, 780, 4913, 267, 3006, 1004, 3068, 2591, 1282, 519, 934, 738, 4851, 1184, 1813, 547, 3604, 1063, 741, 3312, 2528, 543, 519, 1007, 835, 789, 7237, 269, 1280, 3236, 267, 930, 3344, 540, 741, 5065, 2528, 949, 32692, 609, 1346, 540, 519, 3984, 2486, 269, 898, 781, 1898, 547, 5431, 543, 2463, 1312, 4529, 262, 2418, 543, 4978, 1247, 3843, 547, 1265, 1455, 8017, 543, 3666, 269, 5664, 1153, 1053, 1522, 1995, 2147, 3871, 952, 789, 1847, 547, 513, 1007, 4884, 610, 1533, 1369, 519, 1482, 2197, 269, 1358, 991, 547, 3082, 547, 1585, 2188, 899, 13172, 267, 7802, 6163, 267, 16837, 2238, 267, 543, 3872, 1949, 269, 8528, 1103, 3932, 267, 934, 738, 4851, 568, 606, 5571, 1184, 5473, 9542, 543, 1689, 1247, 8497, 835, 781, 2189, 2686, 3961, 269, 16871, 4763, 543, 1620, 1866, 262, 5380, 2636, 721, 547, 1628, 6793, 4296, 2066, 4529, 269, 1924, 3314, 267, 2436, 596, 2811, 5870, 2576, 689, 1776, 2749, 610, 2197, 267, 2307, 2055, 267, 1397, 1719, 267, 543, 8661, 1142, 824, 781, 22464, 269, 2991, 782, 267, 3884, 1405, 621, 4241, 547, 3605, 875, 10562, 2943, 3982, 649, 782, 616, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 4688, 1543, 3688, 547, 707, 2272, 2676, 921, 848, 6166, 602, 596, 3858, 547, 705, 728, 676, 938, 6165, 4507, 563, 2252, 713, 568, 519, 1101, 942, 596, 946, 713, 4183, 267, 596, 786, 581, 4280, 547, 2278, 1047, 11062, 11759, 547, 1921, 609, 707, 2272, 563, 8340, 856, 811, 827, 9494, 1543, 547, 4586, 2414, 4688, 1543, 3688, 547, 707, 28632, 267, 1101, 2327, 4757, 11333, 2593, 454, 529, 3773, 547, 707, 10088, 1386, 9608, 11657, 661, 17733, 5903, 896, 707, 9608, 11657, 23994, 454, 517, 519, 28509, 2659, 12474, 543, 20905, 2985, 540, 707, 8835, 2272, 269, 3973, 4283, 519, 2048, 4067, 685, 851, 454, 1993, 707, 28632, 4757, 2232, 2630, 563, 8340, 856, 811, 827, 9494, 547, 707, 28632, 563, 9616, 596, 666, 2824, 547, 4688, 547, 2901, 519, 7711, 16451, 269, 11779, 548, 2593, 610, 7711, 11779, 548, 2593, 7648, 563, 8072, 287, 16451, 269, 11779, 548, 2593, 685, 15737, 616, 1863, 855, 666, 1152, 581, 10710, 547, 707, 3926, 950, 621, 568, 4448, 547, 530, 328, 30235, 563, 8072, 287, 11779, 548, 2593, 685, 15737, 666, 581, 9447, 1256, 950, 596, 616, 711, 4448, 547, 530, 328, 30235, 267, 855, 4063, 602, 3028, 12375, 4019, 563, 2467, 616, 1100, 598, 5477, 4681, 827, 519, 2009, 8825, 1909, 540, 4984, 593, 1053, 685, 803, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16914, 738, 4851, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7647, 2880, 1143, 267, 607, 513, 10952, 3350, 267, 7153, 538, 519, 10120, 1974, 543, 13856, 7214, 11407, 2394, 519, 12625, 540, 519, 21654, 269, 901, 1935, 6322, 693, 11028, 4290, 532, 5132, 543, 2601, 998, 11826, 9266, 2079, 543, 7521, 269, 769, 713, 2796, 267, 1577, 721, 2263, 875, 4416, 2880, 6138, 8032, 519, 1646, 540, 2413, 2257, 676, 6313, 519, 1272, 543, 1568, 540, 7338, 14109, 520, 630, 14321, 276, 268, 14378, 274, 1070, 606, 2296, 16159, 543, 23464, 2006, 1634, 585, 1010, 7681, 609, 519, 2038, 9576, 5980, 780, 2414, 2253, 609, 267, 621, 781, 1898, 547, 1174, 519, 3140, 4282, 540, 4416, 2880, 1143, 269, 634, 2165, 1412, 338, 3273, 2880, 262, 24865, 689, 519, 5824, 2262, 4416, 320, 267, 2495, 1412, 25217, 9538, 898, 4016, 547, 519, 2409, 6964, 676, 5640, 538, 3864, 9945, 1063, 519, 27630, 543, 6957, 18818, 5553, 269, 1452, 2553, 15091, 7954, 267, 13172, 545, 7744, 267, 543, 3181, 908, 1983, 1765, 339, 8962, 602, 1131, 1831, 16832, 585, 17024, 899, 14109, 520, 780, 24171, 14109, 520, 729, 4535, 883, 18803, 20297, 267, 6659, 676, 3237, 4171, 1514, 7555, 1705, 2370, 547, 2303, 1010, 2104, 23146, 1369, 4081, 10580, 269, 3571, 4651, 267, 7338, 14109, 520, 29447, 1421, 6039, 607, 513, 16434, 25110, 1225, 622, 1247, 8066, 5232, 689, 10228, 269, 6736, 891, 9583, 8723, 8129, 267, 1762, 14109, 520, 17956, 16075, 547, 654, 611, 5069, 5441, 267, 10228, 267, 538, 5437, 476, 13679, 272, 269, 1703, 267, 646, 8678, 606, 17615, 2146, 7722, 538, 14262, 1382, 267, 5555, 4742, 519, 2926, 613, 540, 3627, 12070, 9469, 267, 513, 3056, 4137, 538, 27867, 10601, 2067, 6138, 780, 310, 559, 9469, 262, 3310, 9863, 11358, 538, 5935, 14109, 520, 781, 23381, 543, 4876, 18330, 269, 7201, 1010, 30023, 267, 14109, 520, 12842, 1883, 3741, 2404, 609, 4416, 2880, 1143, 267, 1519, 519, 2956, 540, 9836, 14374, 267, 2565, 3206, 267, 543, 4661, 566, 269, 5015, 267, 12070, 9469, 1128, 2683, 538, 14109, 520, 513, 7096, 2463, 585, 12170, 8343, 543, 17634, 1765, 1084, 1115, 602, 1131, 20690, 519, 5250, 540, 519, 9576, 5980, 513, 1906, 1296, 2663, 780, 1103, 476, 14917, 271, 267, 519, 9241, 5750, 1229, 9576, 5980, 11221, 14109, 520, 607, 922, 1101, 2351, 328, 19212, 267, 25461, 609, 5312, 1782, 519, 3919, 781, 2238, 543, 21108, 922, 5692, 1996, 1033, 847, 832, 269, 769, 3210, 267, 14109, 520, 3370, 834, 763, 3778, 540, 519, 9576, 4149, 1539, 1214, 540, 5507, 267, 1280, 519, 25947, 540, 7849, 11310, 2437, 799, 19286, 730, 519, 2486, 781, 7029, 547, 5807, 10319, 7634, 543, 2963, 2861, 6602, 269, 10801, 519, 960, 267, 14109, 520, 13084, 16845, 519, 1871, 540, 23913, 1565, 936, 2915, 15122, 15984, 547, 3964, 8128, 12544, 18879, 24188, 540, 4416, 2880, 9840, 3823, 519, 2215, 2329, 540, 13414, 8957, 1480, 2601, 780, 4913, 267, 14109, 520, 849, 6444, 519, 7687, 540, 6986, 7787, 640, 950, 13197, 1702, 827, 519, 2067, 1158, 269, 4935, 267, 646, 23647, 585, 513, 7059, 1935, 602, 5916, 1312, 2601, 543, 1995, 269, 1635, 3257, 865, 267, 14109, 520, 3927, 10816, 3022, 519, 7934, 1063, 4416, 2880, 5389, 543, 6932, 3621, 26336, 267, 11744, 602, 5132, 991, 711, 581, 25710, 16375, 547, 3356, 780, 29012, 267, 4207, 5717, 4478, 4984, 543, 2257, 3136, 547, 20920, 609, 2147, 2055, 15054, 676, 2038, 4416, 10415, 269, 6333, 267, 585, 1383, 267, 5571, 9840, 7282, 10995, 1374, 5288, 269, 12105, 3069, 610, 519, 1909, 540, 7881, 538, 5841, 4987, 1382, 269, 5637, 21384, 2154, 27410, 13253, 1063, 3661, 1949, 543, 12170, 4681, 267, 16079, 532, 4145, 3844, 547, 4416, 2880, 27964, 780, 11101, 267, 4974, 5515, 971, 607, 14109, 520, 3091, 3407, 4030, 883, 519, 1950, 16799, 1063, 2686, 4229, 543, 26381, 1670, 10850, 269, 1306, 7152, 676, 1010, 7418, 547, 519, 9576, 5980, 267, 14109, 520, 30833, 875, 1367, 2833, 666, 3337, 6626, 7214, 5322, 267, 20515, 519, 6422, 2470, 540, 2093, 2429, 1686, 780, 1103, 3932, 267, 3695, 519, 1272, 543, 1568, 540, 7338, 14109, 520, 2488, 15417, 2666, 585, 2502, 609, 4295, 28975, 540, 4416, 2880, 6138, 543, 16439, 741, 1764, 593, 7766, 7835, 538, 519, 9443, 269, 3414, 6297, 6514, 540, 1010, 12591, 543, 7506, 267, 1053, 2744, 2629, 5380, 593, 11972, 2055, 17640, 547, 5132, 267, 2601, 267, 543, 519, 13287, 540, 1702, 1765, 1170, 1132, 607, 4143, 2221, 607, 789, 941, 2185, 5553, 3516, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 321, 269, 2142, 3133, 3122, 267, 667, 832, 564, 267, 4789, 267, 476, 14321, 276, 281, 546, 269, 645, 668, 2917, 269, 13573, 267, 4789, 267, 476, 736, 2904, 476, 14378, 274, 994, 20931, 540, 2257, 563, 306, 1440, 520, 729, 835, 540, 1896, 1453, 4535, 547, 7338, 14109, 520, 267, 513, 4057, 25110, 1225, 622, 945, 4371, 645, 6993, 269, 543, 631, 6993, 269, 5232, 689, 10228, 267, 543, 1010, 7385, 267, 945, 729, 519, 8250, 540, 513, 6004, 269, 853, 549, 1372, 540, 3474, 333, 5069, 267, 667, 832, 564, 269, 3245, 713, 968, 984, 2675, 675, 4332, 543, 2069, 538, 513, 2484, 11397, 2197, 2223, 607, 646, 2663, 4330, 621, 267, 646, 9411, 654, 611, 5069, 5441, 267, 10228, 267, 538, 5437, 476, 13679, 272, 267, 8391, 519, 645, 6993, 269, 538, 4873, 476, 13679, 275, 543, 606, 631, 6993, 269, 1614, 1296, 2663, 269, 2311, 654, 611, 5069, 267, 14109, 520, 2968, 513, 4759, 540, 519, 3742, 543, 4166, 9565, 5858, 602, 9250, 1864, 593, 1010, 9670, 543, 9867, 4876, 607, 519, 14787, 543, 1219, 2658, 540, 519, 9576, 5980, 543, 607, 513, 812, 540, 519, 5939, 269, 1261, 2968, 519, 5172, 543, 1486, 2946, 326, 2946, 540, 3627, 12070, 9469, 543, 4646, 2673, 12205, 609, 824, 2818, 540, 519, 3621, 1895, 602, 10356, 1472, 12070, 9469, 1282, 1346, 1296, 267, 2523, 609, 18332, 654, 1066, 267, 590, 996, 24156, 267, 543, 25453, 24872, 32231, 269, 4014, 14109, 520, 949, 7654, 723, 13984, 741, 5870, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 3273, 2880, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 19744, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 316, 952, 7003, 263, 935, 557, 343, 20189, 1638, 264, 3436, 476, 274, 3116, 23756, 20189, 1638, 9239, 3698, 1292, 10031, 825, 2798, 815, 1496, 454, 1038, 630, 271, 267, 476, 274, 13211, 1038, 630, 273, 267, 476, 273, 13211, 1038, 630, 272, 267, 476, 272, 13211, 1038, 630, 273, 267, 476, 272, 13211, 1038, 630, 274, 267, 476, 271, 13211, 1038, 630, 271, 267, 476, 271, 13211, 1038, 630, 274, 267, 476, 274, 13211, 1038, 630, 273, 267, 910, 272, 13211, 1038, 630, 273, 267, 910, 275, 13211, 1038, 630, 272, 267, 910, 274, 13211, 825, 476, 6540, 825, 1948, 519, 23756, 1305, 540, 2798, 568, 454, 825, 1948, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 274, 1070, 630, 272, 267, 910, 274, 1070, 630, 273, 267, 910, 275, 1070, 630, 274, 267, 476, 271, 1070, 630, 274, 267, 476, 274, 22708, 825, 2164, 318, 8578, 815, 23756, 20189, 1638, 318, 8578, 263, 9557, 2020, 825, 2164, 23631, 15479, 633, 815, 23756, 20189, 1638, 23631, 15479, 633, 263, 9557, 994, 825, 7682, 2164, 318, 8578, 2652, 2164, 23631, 15479, 633, 692, 825, 2164, 8548, 601, 330, 2006, 815, 23756, 20189, 1638, 8548, 601, 330, 2006, 263, 9557, 994, 825, 7682, 2164, 318, 8578, 2652, 2164, 8548, 601, 330, 2006, 692, 825, 1820, 263, 29798, 318, 8578, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 454, 258, 13798, 1168, 1513, 4305, 272, 910, 1412, 294, 14993, 7749, 704, 910, 5681, 332, 566, 262, 268, 9941, 306, 2925, 279, 910, 7689, 279, 692, 258, 272, 269, 273, 25754, 4082, 692, 3698, 14805, 566, 28840, 2187, 14851, 1297, 3436, 476, 271, 912, 453, 16596, 2040, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 1535, 21147, 267, 1496, 328, 585, 1775, 538, 2039, 630, 272, 267, 1297, 266, 272, 13580, 21875, 28432, 912, 453, 453, 10139, 454, 4848, 454, 15893, 815, 703, 9272, 18011, 11767, 513, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 28840, 264, 9239, 258, 272, 269, 273, 4786, 454, 3698, 14805, 566, 16325, 17107, 16596, 2040, 630, 4289, 630, 4786, 630, 842, 267, 2039, 263, 272, 267, 1003, 266, 272, 264, 3738, 3738, 25589, 11133, 815, 703, 9272, 18011, 11767, 930, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 16325, 11723, 258, 272, 269, 274, 4783, 585, 692, 3698, 14805, 566, 16325, 2187, 28768, 453, 321, 17342, 2639, 22610, 1775, 538, 2039, 263, 271, 267, 1003, 266, 272, 2187, 567, 453, 453, 321, 284, 321, 266, 314, 328, 316, 1948, 21660, 10528, 13833, 4709, 12811, 4709, 9326, 11012, 10528, 25986, 7549, 7846, 31128, 6459, 27671, 12811, 25000, 9261, 4138, 30935, 28027, 17221, 9261, 4138, 11714, 16044, 484, 4138, 7549, 6459, 20686, 692, 16596, 2040, 6357, 2020, 11133, 815, 703, 9272, 18011, 11767, 930, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 16325, 264, 9239, 0, 5814, 19523, 454, 5814, 942, 692, 258, 5035, 1740, 273, 476, 2767, 269, 5400, 910, 9941, 306, 2925, 258, 276, 910, 7689, 276, 692, 258, 476, 276, 269, 272, 8073, 519, 1592, 540, 9981, 267, 3313, 1412, 10946, 262, 543, 1412, 2381, 28847, 11133, 815, 3403, 18011, 13911, 930, 1297, 281, 30386, 842, 9078, 560, 815, 1496, 842, 3287, 264, 585, 1535, 538, 1193, 16325, 13580, 1948, 2870, 519, 1592, 540, 9981, 1210, 1412, 9448, 7055, 2745, 630, 842, 9078, 560, 264, 1948, 2870, 519, 1592, 692, 2745, 18011, 763, 5021, 1297, 538, 519, 1592, 568, 281, 22207, 3193, 17301, 9078, 560, 4917, 2745, 18011, 763, 5934, 1297, 538, 519, 1592, 568, 281, 22207, 1295, 17301, 9078, 560, 264, 9239, 258, 276, 269, 273, 769, 519, 2039, 689, 476, 272, 268, 1015, 3313, 1256, 2338, 267, 9642, 2338, 799, 17337, 547, 476, 274, 630, 777, 691, 910, 476, 272, 1070, 2338, 799, 711, 17337, 547, 476, 273, 610, 476, 274, 3097, 258, 2475, 5058, 1412, 9448, 28847, 3698, 1297, 16325, 17107, 453, 16838, 9078, 560, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 273, 2652, 476, 271, 23378, 453, 15957, 9078, 560, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 273, 2652, 476, 272, 23378, 453, 12061, 5091, 643, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 274, 11203, 476, 271, 543, 1775, 260, 273, 11203, 476, 271, 476, 476, 6540, 453, 16838, 9078, 560, 27044, 630, 271, 267, 1412, 1607, 568, 519, 1592, 540, 859, 839, 281, 5073, 453, 15957, 9078, 560, 27044, 630, 271, 267, 29717, 901, 568, 519, 1592, 5212, 12918, 281, 5073, 453, 12061, 5091, 643, 27044, 630, 271, 267, 29717, 901, 568, 519, 1592, 540, 476, 273, 4501, 499, 274, 711, 16883, 281, 17210, 453, 20135, 815, 1256, 9078, 560, 1341, 9642, 9078, 560, 1341, 1875, 5091, 643, 454, 453, 20135, 273, 815, 1412, 29717, 21860, 6025, 4973, 2020, 16596, 2698, 273, 692, 11133, 815, 703, 9272, 18011, 8923, 1826, 519, 2063, 7857, 538, 707, 2039, 281, 1412, 4297, 1341, 476, 272, 1948, 938, 8545, 7857, 538, 519, 2039, 1058, 581, 476, 1556, 692, 2745, 630, 15893, 16325, 11723, 258, 276, 269, 274, 269, 272, 9577, 630, 32491, 602, 12523, 27353, 264, 8528, 3698, 3815, 3799, 2187, 453, 328, 815, 476, 272, 1948, 3651, 938, 4756, 1354, 2783, 267, 6382, 1412, 4462, 20129, 26222, 13286, 281, 2199, 4756, 1412, 328, 262, 26518, 1354, 7084, 7055, 453, 6112, 562, 3436, 476, 272, 912, 453, 453, 328, 815, 1775, 2608, 562, 454, 453, 453, 333, 815, 562, 910, 476, 272, 454, 16596, 1775, 692, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 262, 4297, 3097, 2745, 263, 26476, 3799, 11723, 258, 276, 269, 274, 269, 273, 4635, 1412, 1721, 262, 4783, 630, 32491, 602, 12523, 27353, 994, 258, 7078, 273, 692, 3698, 3815, 273, 3799, 2187, 453, 2399, 3645, 815, 476, 272, 454, 22610, 1775, 538, 2039, 630, 272, 267, 562, 266, 272, 2187, 453, 453, 2399, 3645, 815, 27353, 2608, 1775, 454, 453, 453, 258, 333, 815, 562, 910, 272, 454, 16596, 18011, 634, 27353, 540, 2715, 271, 348, 568, 2715, 272, 348, 8339, 8971, 3799, 267, 27353, 4297, 1948, 16044, 482, 18775, 9261, 19277, 7846, 27593, 4709, 4709, 9326, 11714, 4138, 8563, 29391, 12811, 22147, 3378, 476, 16021, 7549, 13150, 7846, 692, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 10807, 2020, 2745, 630, 26476, 273, 3799, 264, 25589, 258, 276, 269, 274, 269, 274, 9577, 630, 32491, 602, 12523, 27353, 994, 258, 7078, 274, 692, 258, 3698, 3815, 3799, 2187, 453, 258, 328, 815, 476, 272, 454, 453, 258, 6112, 562, 13843, 476, 271, 912, 453, 567, 1948, 328, 815, 562, 2608, 630, 562, 910, 476, 272, 12467, 453, 258, 8873, 1775, 692, 258, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 262, 4297, 3097, 28744, 263, 26476, 3799, 11723, 258, 11298, 2464, 301, 31415, 20796, 298, 692, 258, 276, 269, 275, 269, 272, 8298, 514, 18025, 817, 5320, 692, 3698, 533, 1873, 318, 4486, 263, 1186, 342, 17107, 453, 1186, 342, 8217, 815, 18358, 5575, 256, 262, 6540, 453, 321, 815, 476, 274, 454, 453, 6112, 536, 3436, 476, 271, 912, 453, 453, 321, 815, 536, 910, 476, 272, 454, 4848, 454, 453, 14851, 536, 2652, 476, 271, 281, 1948, 7758, 919, 547, 4542, 1948, 782, 1310, 713, 693, 974, 618, 786, 14892, 536, 2389, 1307, 2687, 547, 513, 4542, 454, 453, 825, 453, 453, 19874, 692, 453, 453, 258, 12327, 4488, 28513, 476, 19399, 19399, 10310, 5992, 692, 453, 14851, 533, 1873, 538, 533, 1873, 8217, 281, 1948, 12211, 547, 513, 1883, 454, 4848, 16596, 18011, 290, 3036, 3918, 6311, 269, 589, 6717, 8577, 16998, 19611, 3633, 5073, 4848, 453, 1410, 527, 10797, 453, 14851, 711, 533, 1873, 538, 533, 1873, 8217, 281, 1948, 12211, 547, 513, 1883, 454, 4848, 453, 1186, 342, 815, 3403, 18011, 3722, 290, 8577, 667, 2894, 296, 3633, 269, 11550, 4668, 292, 589, 26395, 312, 281, 30386, 15235, 454, 4848, 14851, 536, 2652, 476, 272, 543, 533, 1873, 11203, 1412, 5575, 256, 12466, 15235, 16596, 18011, 312, 21788, 8028, 4596, 7419, 307, 670, 3008, 18688, 2894, 19154, 8016, 298, 3633, 11123, 476, 1015, 32745, 7473, 2464, 5073, 4848, 14851, 536, 2652, 476, 272, 543, 533, 1873, 2652, 1412, 5575, 256, 12466, 15235, 16596, 18011, 295, 308, 295, 295, 295, 256, 269, 589, 6717, 8577, 16998, 19611, 3633, 17210, 1186, 342, 815, 3403, 18011, 24165, 4668, 292, 589, 26395, 312, 281, 1412, 264, 1948, 786, 14892, 536, 2389, 1307, 630, 274, 264, 607, 538, 519, 4783, 630, 10175, 1808, 2783, 950, 536, 2652, 476, 272, 2020, 2745, 263, 1186, 342, 318, 4486, 263, 1186, 342, 11723, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1412, 6112, 262, 4783, 7531, 258, 276, 269, 275, 269, 273, 8298, 514, 18025, 817, 5320, 454, 258, 7078, 273, 692, 10139, 5320, 815, 3403, 18011, 303, 4041, 17955, 13673, 9898, 589, 623, 3008, 14684, 16704, 281, 17210, 604, 10957, 2652, 1412, 27165, 11277, 12466, 13537, 3488, 28557, 269, 7457, 11292, 5073, 453, 1410, 527, 10797, 3698, 2638, 318, 1186, 342, 10031, 453, 5503, 4732, 2748, 263, 273, 994, 13537, 3488, 28557, 269, 7457, 11292, 17210, 339, 7434, 273, 815, 3403, 18011, 303, 4041, 17955, 10323, 22268, 589, 11550, 25807, 623, 3008, 14684, 16704, 281, 5073, 604, 4693, 273, 2652, 1412, 27165, 11277, 12466, 453, 13765, 318, 1186, 342, 3890, 1948, 476, 273, 526, 4693, 2638, 454, 604, 711, 4693, 273, 2652, 1412, 27165, 11277, 12466, 453, 339, 7434, 274, 815, 3403, 18011, 303, 4041, 17955, 10323, 22268, 589, 11550, 25807, 623, 3008, 14684, 16704, 281, 10807, 28768, 28768, 14851, 4693, 274, 2652, 1412, 27165, 11277, 12466, 453, 453, 13765, 318, 1186, 342, 3890, 1948, 476, 274, 6113, 4693, 2638, 692, 14851, 711, 4693, 274, 2652, 1412, 27165, 11277, 12466, 453, 453, 5503, 4732, 2748, 263, 273, 994, 453, 13537, 18011, 24168, 22743, 12717, 10691, 8863, 5308, 2894, 589, 2910, 305, 3918, 6311, 4888, 14684, 2207, 269, 623, 4041, 17955, 13138, 312, 589, 16598, 2562, 5442, 476, 1015, 32745, 7473, 2464, 5073, 453, 453, 10139, 692, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1247, 4783, 454, 2971, 772, 294, 14877, 966, 8991, 12778, 910, 12894, 268, 3918, 4041, 309, 19611, 23166, 1412, 303, 312, 8025, 2177, 19053, 2894, 262, 7531, 258, 276, 269, 275, 269, 274, 1948, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1247, 4783, 3097, 258, 7078, 274, 692, 3698, 521, 662, 333, 18425, 263, 1186, 342, 17107, 14851, 533, 1873, 2652, 1412, 27165, 11277, 12466, 453, 13537, 18011, 28557, 269, 7457, 11292, 5073, 453, 453, 1410, 527, 4590, 28768, 453, 321, 815, 476, 273, 1948, 1599, 786, 14892, 476, 273, 2053, 811, 454, 453, 6112, 533, 1873, 11203, 1412, 27165, 11277, 12466, 453, 453, 321, 815, 536, 910, 476, 272, 692, 453, 453, 1186, 342, 815, 3403, 18011, 16914, 525, 9324, 1221, 269, 7490, 4283, 519, 10957, 281, 10807, 1948, 272, 560, 1900, 454, 4848, 454, 453, 453, 19399, 19399, 10310, 5992, 30607, 454, 4848, 454, 453, 14851, 533, 1873, 2652, 1412, 27165, 11277, 9166, 1948, 273, 526, 2783, 454, 4848, 13537, 18011, 16966, 11292, 5073, 4848, 453, 1410, 527, 10797, 453, 453, 19197, 536, 2652, 476, 272, 281, 1948, 273, 526, 2783, 273, 454, 4848, 453, 1186, 342, 815, 3403, 18011, 16914, 525, 9324, 1221, 269, 901, 707, 2063, 3801, 269, 7490, 1683, 513, 2953, 10957, 281, 17210, 453, 453, 19399, 19399, 19399, 454, 4848, 14851, 533, 1873, 2652, 1412, 27165, 11277, 12466, 15235, 13537, 18011, 16966, 11292, 5073, 15235, 453, 1410, 527, 10797, 4848, 28432, 912, 15235, 13537, 18011, 306, 800, 344, 772, 10093, 32075, 339, 3177, 513, 2953, 2626, 9538, 264, 1948, 274, 6113, 2783, 476, 274, 323, 1900, 454, 15235, 453, 1410, 527, 10797, 1186, 342, 815, 3403, 18011, 8923, 4283, 519, 10957, 281, 10807, 1948, 272, 560, 1900, 454, 2745, 4433, 662, 333, 18425, 263, 1186, 342, 11723, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3282, 547, 519, 1964, 540, 519, 1158, 563, 292, 2202, 568, 1034, 7925, 547, 9561, 621, 781, 1648, 7727, 689, 2342, 269, 18831, 899, 5125, 630, 1348, 811, 827, 20918, 20837, 476, 273, 264, 723, 1044, 9505, 1154, 1524, 741, 6046, 1379, 2371, 543, 3001, 547, 3154, 543, 4264, 630, 338, 6897, 543, 2842, 264, 1648, 2959, 269, 1306, 519, 21977, 12289, 5170, 267, 649, 917, 519, 1764, 786, 581, 5433, 1472, 519, 1158, 2560, 1317, 540, 938, 2518, 4346, 563, 2026, 519, 2475, 568, 835, 540, 519, 1283, 476, 274, 1648, 6800, 267, 621, 781, 2312, 649, 723, 3255, 547, 4688, 1648, 547, 3565, 547, 519, 1648, 17732, 4611, 689, 6576, 781, 12289, 540, 12907, 563, 24591, 6052, 676, 4635, 10815, 24542, 454, 296, 6415, 693, 513, 2530, 585, 1913, 2560, 2731, 2336, 7069, 3804, 609, 713, 2376, 568, 547, 18663, 4892, 547, 4688, 1648, 693, 1753, 267, 865, 15217, 649, 666, 2569, 519, 1158, 781, 21341, 593, 6576, 781, 3282, 543, 3154, 269, 2311, 519, 1482, 942, 267, 594, 6415, 4743, 3475, 1540, 1317, 540, 782, 519, 4930, 594, 4312, 2854, 547, 948, 21427, 946, 811, 5201, 888, 2171, 2811, 4946, 811, 2029, 547, 1169, 2460, 540, 938, 5321, 899, 5100, 8654, 267, 799, 2333, 946, 540, 5201, 269, 1284, 2811, 7836, 811, 942, 1210, 11418, 689, 24195, 547, 7641, 338, 543, 3756, 267, 799, 782, 946, 5201, 269, 1548, 594, 666, 1405, 2995, 596, 2221, 2560, 568, 875, 649, 666, 3666, 891, 2810, 1648, 7569, 609, 3435, 547, 2569, 1648, 4616, 563, 2690, 1631, 267, 1934, 616, 6266, 540, 2093, 547, 948, 596, 4688, 1648, 2221, 269, 1403, 596, 4734, 707, 2093, 2630, 267, 594, 3513, 2689, 873, 543, 1039, 547, 1250, 2376, 267, 476, 4510, 5851, 26782, 15379, 9669, 6744, 4289, 267, 547, 2671, 1648, 5786, 3435, 563, 268, 681, 996, 1074, 519, 8654, 538, 707, 1753, 543, 1265, 2081, 547, 946, 811, 2067, 8654, 563, 268, 12414, 8279, 1055, 950, 596, 2811, 711, 1210, 873, 269, 18289, 19840, 17300, 1769, 17176, 543, 5100, 15620, 2709, 811, 1648, 9806, 563, 268, 10925, 9702, 8279, 593, 513, 22245, 630, 785, 3233, 610, 9205, 264, 865, 789, 1810, 1405, 3251, 593, 782, 3781, 563, 268, 16440, 811, 1648, 676, 15175, 856, 2025, 1769, 15620, 547, 10896, 15620, 563, 268, 12414, 11418, 1634, 607, 1648, 30632, 2231, 267, 1055, 950, 711, 1373, 1031, 269, 5295, 17446, 4688, 942, 609, 513, 2582, 6467, 585, 2789, 3457, 563, 268, 5455, 14079, 547, 6052, 30252, 14233, 630, 1348, 281, 11370, 3539, 10331, 10662, 281, 1879, 1299, 7316, 1040, 1403, 596, 6854, 707, 2025, 21067, 267, 1118, 2386, 596, 2731, 991, 621, 1299, 2436, 596, 1223, 22010, 713, 1932, 563, 268, 2422, 707, 17196, 3079, 540, 707, 23041, 630, 4103, 585, 803, 267, 700, 5357, 1916, 1692, 4635, 10815, 4826, 4024, 16440, 6052, 454, 268, 12414, 1216, 1055, 1247, 596, 11453, 707, 4522, 563, 268, 6875, 10156, 29636, 547, 2569, 519, 1648, 1031, 547, 3002, 3905, 1216, 563, 268, 8307, 2196, 519, 8670, 13195, 615, 950, 621, 781, 2407, 269, 12414, 1055, 1279, 15018, 9979, 563, 268, 27016, 2394, 596, 723, 2407, 13907, 267, 547, 2196, 707, 11067, 3684, 543, 3819, 518, 269, 654, 4770, 609, 4411, 1216, 786, 4688, 596, 1256, 811, 1648, 563, 268, 6333, 15018, 707, 9660, 3544, 2560, 540, 707, 670, 29151, 2636, 713, 563, 268, 23203, 9660, 811, 982, 2899, 1354, 11067, 267, 585, 1256, 3152, 9806, 563, 13425, 1261, 908, 1299, 15346, 532, 7010, 454, 268, 12305, 513, 5100, 27687, 520, 602, 2306, 621, 2653, 547, 4188, 707, 1753, 781, 2837, 5468, 547, 4688, 1648, 563, 268, 23203, 513, 4418, 831, 1282, 669, 11035, 2395, 267, 547, 1832, 707, 2777, 513, 1906, 5232, 16830, 563, 268, 2422, 18109, 11655, 865, 596, 666, 6318, 270, 12294, 707, 27687, 520, 781, 5468, 513, 1906, 5232, 563, 268, 2422, 513, 8143, 9196, 8254, 547, 1265, 2011, 20984, 1818, 707, 25256, 1062, 2196, 811, 982, 2556, 269, 5410, 28471, 6362, 267, 4365, 4174, 6137, 610, 13471, 547, 3247, 519, 20984, 563, 268, 1403, 596, 4312, 3893, 2582, 533, 2033, 9486, 267, 5372, 873, 609, 12242, 533, 2033, 9486, 563, 268, 29799, 707, 25256, 1062, 781, 2011, 12086, 21237, 267, 547, 1118, 707, 1062, 2196, 811, 7561, 563, 268, 22352, 707, 25256, 1062, 585, 513, 811, 3608, 1062, 267, 952, 707, 2025, 835, 568, 16042, 1439, 540, 1272, 888, 268, 12305, 3859, 8440, 630, 1348, 281, 3657, 1411, 27973, 547, 12305, 9891, 24047, 547, 5352, 1034, 540, 707, 1753, 781, 5122, 2115, 563, 6124, 31346, 2334, 2052, 16440, 6052, 454, 268, 21480, 1920, 2238, 602, 1810, 1405, 946, 5201, 269, 1473, 14995, 621, 781, 942, 4604, 3756, 543, 3544, 267, 513, 1507, 3440, 610, 835, 540, 891, 18147, 3756, 666, 1683, 3108, 540, 1187, 563, 268, 2422, 23431, 3688, 950, 2009, 267, 607, 789, 3653, 1648, 1282, 519, 5663, 1184, 563, 268, 1234, 12860, 1018, 596, 666, 267, 899, 11956, 23691, 267, 547, 4688, 1648, 543, 6151, 2326, 563, 1432, 1705, 649, 4413, 286, 7490, 2995, 721, 543, 6693, 933, 3513, 9337, 713, 24920, 2560, 865, 7064, 256 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4595, 1699, 6843, 568, 519, 2063, 835, 267, 519, 2698, 568, 7329, 343, 266, 272, 454, 7386, 3977, 314, 271, 316, 815, 6843, 3097, 3546, 2132, 7329, 343, 266, 272, 1948, 2698, 9136, 538, 519, 1592, 454, 2018, 3116, 281, 3097, 3546, 2698, 815, 25961, 263, 16059, 267, 6843, 12785, 267, 7329, 343, 266, 272, 994, 3546, 952, 7329, 343, 2652, 2698, 12262, 476, 273, 912, 7386, 3977, 314, 271, 316, 815, 6843, 3097, 3546, 2132, 2698, 28329, 1038, 3977, 815, 1496, 14085, 2639, 1038, 25961, 263, 16059, 267, 2212, 267, 476, 271, 994, 1038, 2132, 3977, 314, 271, 6540, 19638, 258, 3105, 3070, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 912, 825, 1219, 1647, 11966, 4311, 267, 2212, 281, 1412, 18893, 1308, 314, 8266, 11966, 316, 10807, 9847, 1412, 18893, 1308, 314, 8266, 11966, 316, 12466, 1038, 3977, 815, 1496, 14085, 316, 3097, 1038, 1219, 25961, 263, 16059, 267, 6843, 267, 1377, 2567, 1948, 13765, 875, 1082, 2157, 538, 2698, 267, 543, 952, 1699, 1377, 568, 2698, 2260, 273, 266, 272, 630, 1492, 1647, 6843, 994, 2018, 952, 6843, 12785, 912, 3546, 2698, 815, 25961, 263, 16059, 267, 6843, 12785, 267, 1377, 266, 272, 264, 3097, 2018, 3116, 912, 3546, 2698, 815, 1377, 454, 2018, 952, 1377, 2652, 2698, 2260, 273, 266, 272, 912, 3546, 3977, 314, 271, 316, 815, 6843, 3097, 27030, 2018, 2132, 2698, 28329, 1038, 25961, 263, 16059, 267, 2212, 267, 476, 272, 994, 1038, 2132, 3977, 314, 271, 2639, 27030, 4449, 7531, 258, 3105, 1935, 454, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 258, 1362, 8827, 912, 258, 672, 1219, 1647, 11966, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 258, 1363, 1219, 6366, 263, 560, 330, 267, 6843, 2187, 258, 17264, 952, 6843, 12785, 2652, 7183, 912, 258, 4449, 588, 330, 6910, 27316, 994, 258, 17264, 3116, 912, 258, 4449, 588, 330, 6910, 27316, 994, 258, 4449, 6366, 263, 560, 330, 267, 6843, 12785, 994, 258, 1363, 588, 330, 815, 11713, 258, 1363, 6366, 263, 560, 330, 267, 2212, 994, 258, 1363, 2132, 588, 330, 314, 6352, 263, 560, 330, 264, 2260, 273, 6540, 454, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 1412, 18893, 1308, 314, 8266, 11966, 316, 10807, 9847, 536, 944, 912, 1038, 3728, 815, 3500, 815, 2212, 454, 1038, 1247, 3728, 543, 3728, 12785, 543, 3728, 12785, 12785, 912, 2018, 3728, 815, 3728, 12785, 12785, 3097, 2018, 3500, 815, 3500, 12785, 454, 2018, 952, 3500, 2652, 3728, 281, 1948, 952, 972, 781, 513, 4783, 267, 3500, 815, 3728, 693, 930, 1448, 454, 3546, 2132, 6936, 3097, 1038, 2132, 8771, 1948, 9724, 12785, 610, 3728, 12785, 12785, 568, 7183, 267, 621, 1797, 1100, 4783, 22562, 672, 692, 258, 3105, 1935, 8528, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 258, 1362, 8827, 912, 258, 672, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 536, 944, 912, 258, 1363, 952, 2212, 2652, 7183, 912, 258, 17264, 2132, 8771, 454, 258, 1363, 3116, 912, 258, 17264, 3500, 815, 3728, 815, 2212, 454, 258, 17264, 1247, 3728, 12785, 543, 3728, 12785, 12785, 912, 258, 4449, 3728, 815, 3728, 12785, 12785, 454, 258, 4449, 3500, 815, 3500, 12785, 454, 258, 4449, 952, 3728, 2652, 3500, 281, 1948, 9724, 10742, 3500, 454, 258, 4449, 672, 2132, 6936, 454, 258, 17264, 2132, 8771, 692, 258, 3105, 1935, 454, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 454, 16482, 258, 1362, 8827, 912, 258, 672, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 536, 944, 912, 258, 1363, 561, 330, 335, 815, 1305, 4590, 258, 1363, 1247, 2212, 912, 258, 17264, 952, 2212, 711, 538, 561, 330, 335, 912, 258, 4449, 561, 330, 335, 14491, 263, 3650, 994, 258, 4449, 2212, 815, 2212, 12785, 454, 258, 17264, 3116, 912, 258, 4449, 2132, 6936, 454, 258, 1363, 2132, 8771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 9223, 281, 634, 18917, 729, 8547, 538, 476, 4572, 273, 267, 1519, 5925, 543, 8613, 2533, 269, 898, 568, 1759, 693, 16340, 26511, 5600, 538, 5507, 269, 634, 18917, 568, 6417, 676, 930, 1827, 832, 6074, 676, 519, 2229, 267, 855, 891, 1004, 723, 5191, 543, 519, 2229, 666, 1405, 15936, 1547, 2334, 568, 267, 519, 18917, 568, 9277, 711, 547, 581, 519, 5023, 12328, 476, 540, 519, 2229, 269, 898, 814, 547, 581, 607, 4023, 607, 2009, 538, 4758, 5925, 543, 8613, 942, 547, 267, 585, 1383, 267, 2797, 6105, 543, 3909, 2516, 269, 1703, 568, 513, 2186, 540, 4277, 3028, 538, 3703, 268, 1370, 531, 2533, 269, 3509, 1004, 4782, 547, 10519, 741, 8613, 5036, 3079, 540, 9140, 873, 269, 634, 10519, 585, 513, 3109, 543, 3043, 1305, 568, 827, 476, 3199, 533, 775, 513, 3018, 269, 634, 10519, 540, 513, 2681, 1305, 568, 811, 982, 7466, 602, 540, 513, 3109, 543, 3043, 1305, 269, 1403, 519, 5036, 979, 4636, 267, 1004, 666, 723, 873, 30465, 1863, 540, 5279, 610, 8719, 5612, 269, 15526, 814, 547, 4444, 513, 21496, 12689, 267, 2094, 972, 568, 1100, 10229, 593, 18917, 5925, 610, 8613, 269, 898, 568, 689, 519, 9042, 540, 27121, 602, 519, 18917, 4991, 1034, 540, 922, 2724, 269, 589, 12689, 585, 513, 3109, 543, 3043, 1305, 3790, 476, 279, 6550, 267, 543, 585, 513, 7990, 1305, 476, 1240, 6550, 513, 1032, 269, 1703, 616, 2185, 7463, 5925, 9055, 267, 799, 13739, 1114, 5686, 540, 15961, 269, 15571, 594, 568, 5631, 1402, 2575, 10611, 611, 1470, 476, 273, 9388, 609, 1769, 2575, 267, 5026, 543, 824, 15961, 269, 15571, 476, 274, 13739, 338, 3978, 2575, 267, 12909, 593, 3978, 5396, 3092, 269, 21158, 13739, 338, 616, 5631, 2016, 676, 15571, 476, 275, 269, 1703, 616, 2027, 15961, 585, 8832, 8581, 267, 10430, 267, 12986, 267, 543, 1978, 2694, 540, 4789, 20193, 849, 13739, 338, 15961, 827, 6628, 734, 514, 1082, 1114, 4654, 607, 1134, 607, 538, 2296, 547, 782, 2694, 540, 519, 1158, 269, 1403, 646, 6499, 547, 4585, 7641, 693, 1753, 267, 3025, 567, 9041, 476, 4586, 288, 269, 814, 547, 4444, 513, 8613, 1305, 540, 1010, 1378, 454, 289, 269, 1590, 10519, 513, 7641, 1305, 454, 290, 269, 814, 547, 4444, 513, 12689, 2899, 513, 1032, 454, 291, 269, 666, 1689, 1010, 8697, 7641, 1305, 585, 513, 1007, 835, 1510, 8569, 454, 12585, 281, 595, 0, 22832, 12628, 519, 2699, 22916, 517, 593, 519, 3349, 543, 621, 3893, 7745, 269, 634, 3349, 568, 2182, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 6164, 513, 11213, 15319, 11563, 563, 288, 269, 16202, 513, 1085, 17274, 540, 29877, 4672, 8645, 563, 289, 269, 16202, 513, 1085, 17274, 540, 14132, 12403, 563, 12585, 281, 589, 0, 9223, 281, 1412, 1320, 3518, 601, 2088, 3299, 513, 6263, 8004, 711, 3368, 607, 2462, 607, 513, 14853, 267, 729, 6738, 689, 513, 581, 1375, 541, 781, 10516, 547, 513, 32066, 4807, 269, 1548, 729, 519, 10516, 888, 12585, 281, 513, 24061, 8970, 0, 9223, 281, 5565, 21046, 941, 9361, 1927, 538, 513, 7077, 1547, 1358, 941, 593, 513, 1279, 3460, 1547, 2290, 540, 519, 2367, 729, 513, 4116, 1547, 634, 824, 729, 513, 16027, 1547, 1358, 2893, 1510, 6158, 585, 513, 1247, 2073, 1287, 519, 16027, 1767, 2073, 834, 2913, 781, 798, 1945, 547, 1780, 519, 942, 1547, 257, 834, 1548, 798, 596, 1616, 547, 798, 7790, 257, 519, 4116, 4280, 1547, 834, 1284, 666, 2307, 1142, 824, 678, 26680, 630, 16532, 257, 519, 16027, 1767, 267, 834, 1411, 1376, 1701, 834, 2913, 781, 1118, 519, 3652, 1101, 2073, 257, 519, 4116, 1767, 1547, 834, 1656, 547, 1118, 519, 3014, 811, 4277, 2073, 1577, 781, 1404, 621, 585, 2724, 1547, 1403, 649, 1810, 1405, 917, 519, 2626, 547, 519, 678, 1497, 2073, 649, 723, 547, 2628, 513, 13362, 1547, 257, 634, 16027, 2219, 827, 713, 585, 513, 1247, 2073, 1287, 646, 1767, 2073, 834, 2334, 781, 711, 4023, 263, 1547, 1411, 616, 513, 4116, 2073, 606, 13473, 630, 3738, 812, 1547, 1411, 917, 811, 1919, 982, 594, 798, 1547, 594, 993, 1175, 513, 16027, 1547, 257, 834, 2334, 781, 3020, 2073, 257, 519, 4116, 1767, 2073, 834, 1548, 798, 596, 1589, 649, 1058, 798, 7790, 257, 634, 16027, 1767, 2073, 834, 1403, 596, 1810, 1405, 917, 519, 2626, 547, 513, 678, 1497, 2073, 9767, 2628, 803, 476, 1911, 9489, 1547, 2252, 594, 1810, 1405, 917, 519, 2626, 547, 519, 678, 1497, 2073, 594, 3513, 2628, 596, 476, 2004, 9489, 1701, 634, 4116, 2219, 585, 513, 1247, 2073, 1287, 646, 1767, 2073, 834, 15528, 269, 2334, 781, 4023, 1547, 5808, 3513, 979, 1101, 7790, 257, 834, 296, 786, 2073, 257, 519, 16027, 1767, 1547, 834, 3371, 781, 1250, 678, 1497, 1547, 1548, 814, 1614, 7953, 950, 621, 15211, 2073, 855, 1152, 1079, 7953, 950, 621, 13733, 7790, 257, 634, 4116, 2219, 543, 2219, 2073, 834, 1548, 814, 1614, 7953, 950, 621, 15211, 267, 855, 1152, 1079, 950, 621, 13733, 7790, 257, 3973, 646, 1767, 2073, 834, 2334, 781, 513, 1434, 835, 1547, 594, 1810, 1405, 917, 519, 2626, 1547, 257, 1261, 5795, 519, 16027, 476, 1911, 9489, 543, 1767, 2073, 834, 15681, 803, 519, 2626, 1547, 1548, 568, 621, 7790, 257, 834, 594, 1810, 1405, 917, 2073, 2901, 1547, 257, 634, 16027, 1767, 2073, 543, 5795, 1864, 476, 2004, 9489, 1547, 2311, 1101, 519, 1079, 2367, 2893, 972, 1510, 6158, 1317, 567, 9041, 567, 4586, 288, 269, 519, 16027, 4769, 1405, 899, 519, 4116, 454, 289, 269, 519, 4116, 4769, 1405, 899, 519, 16027, 454, 290, 269, 519, 16027, 17329, 547, 2995, 24668, 454, 291, 269, 789, 4769, 1405, 917, 1142, 824, 454, 12585, 281, 667, 0, 9223, 281, 1215, 798, 596, 4894, 9174, 25859, 689, 9660, 888, 12585, 281, 10925, 930, 6070, 593, 519, 12962, 607, 3533, 607, 2009, 547, 27653, 909, 519, 2699, 9174, 269, 667, 629, 713, 609, 513, 3819, 12308, 269, 0, 9223, 281, 634, 2817, 20155, 540, 3703, 3203, 729, 26948, 519, 570, 622, 20155, 538, 476, 4350, 273, 267, 547, 22632, 513, 2101, 1829, 18503, 945, 1500, 1010, 19539, 609, 1018, 20161, 888, 12585, 281, 522, 572, 0, 9223, 281, 5808, 4465, 519, 4154, 30407, 585, 519, 476, 1911, 332, 693, 519, 476, 1960, 273, 21396, 693, 476, 3953, 1296, 540, 2085, 543, 2968, 519, 9510, 16727, 476, 1911, 544, 22299, 676, 2185, 1296, 888, 12585, 281, 13171, 773, 13274, 5112, 0, 27746, 4682, 547, 979, 4584, 909, 23729, 534, 689, 1153, 267, 855, 1100, 835, 3357, 269, 23729, 534, 729, 7508, 269, 0, 9223, 281, 476, 272, 4303, 26850, 6363, 569, 16971, 9412, 12875, 12875, 19672, 7358, 1807, 281, 23874, 3345, 5245, 20121, 1588, 281, 13648, 26165, 3493, 11301, 3245, 281, 595, 1515, 985, 12875, 13517, 966, 6838, 607, 835, 540, 5245, 781, 18771, 268, 2710, 268, 16987, 7891, 269, 6164, 3054, 547, 606, 5863, 1554, 856, 609, 16971, 26744, 4024, 773, 23583, 269, 3493, 691, 595, 1515, 985, 23582, 23076, 585, 519, 21708, 10520, 22947, 547, 13648, 26165, 269, 22947, 8977, 338, 595, 1515, 985, 693, 476, 277, 281, 3393, 513, 6230, 269, 17949, 513, 476, 3393, 18826, 8184, 609, 8748, 5784, 689, 595, 1515, 985, 547, 13648, 26165, 607, 596, 8038, 2059, 519, 5032, 1063, 519, 2622, 11595, 22986, 543, 519, 4279, 4446, 8175, 24035, 269, 2201, 12625, 538, 13648, 26165, 596, 786, 581, 1558, 676, 4024, 773, 23583, 267, 519, 2757, 1650, 339, 11839, 540, 519, 715, 1872, 531, 21351, 571, 28334, 1547, 4024, 773, 23583, 3217, 14538, 547, 1010, 18577, 4224, 1148, 4609, 267, 1305, 1164, 538, 519, 15113, 1657, 16593, 966, 1446, 267, 3544, 13648, 26165, 269, 3371, 646, 8843, 519, 2984, 3297, 519, 1148, 267, 543, 6941, 875, 519, 10367, 3717, 540, 519, 1034, 2596, 543, 1271, 2298, 540, 1272, 543, 519, 1702, 540, 1010, 1004, 269, 634, 4663, 3217, 596, 998, 606, 11141, 2070, 540, 3670, 4224, 1148, 4609, 267, 1519, 606, 18577, 17510, 29190, 543, 519, 26532, 16624, 29190, 269, 901, 2882, 513, 476, 1789, 18826, 17382, 3802, 593, 3622, 2653, 1768, 6929, 1547, 630, 290, 2642, 6806, 6823, 10887, 1590, 581, 12816, 4700, 17776, 547, 13648, 26165, 693, 476, 272, 281, 1428, 533, 6230, 269, 1141, 4024, 773, 786, 1491, 596, 547, 519, 7186, 5295, 5600, 7467, 267, 13648, 26165, 781, 6250, 3218, 6176, 10418, 269, 700, 4875, 568, 3769, 693, 519, 7638, 8518, 1695, 595, 12522, 269, 634, 1964, 540, 519, 12784, 568, 1863, 547, 2263, 3140, 13648, 26165, 1354, 707, 4483, 547, 13648, 26165, 19633, 543, 2132, 8184, 547, 595, 1515, 985, 269, 22947, 21128, 693, 595, 1515, 985, 23582, 23076, 693, 476, 277, 281, 2412, 533, 6230, 269, 13574, 12417, 593, 12625, 538, 595, 1515, 985, 269, 31245, 20661, 281, 1269, 476, 276, 5392, 269, 876, 5753, 281, 1269, 476, 29496, 269, 876, 19198, 263, 273, 4079, 543, 476, 273, 1453, 2567, 1269, 476, 272, 267, 279, 7597, 269, 876, 4340, 547, 519, 8574, 267, 875, 786, 14666, 12446, 538, 13648, 26165, 888, 288, 269, 1635, 6928, 563, 289, 269, 1635, 1286, 563, 290, 269, 1635, 2011, 563, 291, 269, 1635, 5721, 563, 12585, 281, 595 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1038, 21188, 1073, 329, 815, 8708, 10947, 318, 15953, 3488, 1245, 318, 15953, 5073, 1038, 21188, 1073, 329, 20508, 454, 1038, 1412, 1245, 318, 15953, 28847, 1038, 7711, 12407, 1843, 12173, 281, 519, 2012, 540, 519, 1843, 547, 23074, 454, 1038, 7711, 6943, 1843, 12173, 281, 1193, 454, 1038, 7711, 337, 6943, 281, 700, 346, 30606, 8679, 1038, 7711, 8873, 281, 606, 8629, 8204, 519, 4859, 1843, 16761, 454, 1038, 8173, 1038, 2132, 8629, 4311, 267, 1843, 12173, 267, 3196, 318, 1410, 1235, 18989, 2020, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 1592, 318, 15953, 338, 318, 16769, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 16875, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 17776, 1344, 827, 782, 3615, 538, 519, 29597, 518, 780, 1038, 6206, 5320, 7440, 616, 5701, 607, 26824, 13214, 6724, 543, 666, 454, 1038, 581, 1031, 3970, 519, 1267, 1305, 630, 5408, 519, 16286, 12319, 6393, 1038, 21188, 598, 333, 9131, 935, 1555, 518, 272, 262, 4940, 4289, 318, 15953, 338, 318, 16769, 263, 3916, 527, 284, 273, 994, 1038, 1496, 346, 340, 262, 2421, 5052, 9166, 476, 4366, 273, 271, 2676, 16875, 579, 262, 20880, 25292, 9166, 579, 262, 1952, 997, 566, 270, 24934, 564, 3613, 3195, 22779, 16875, 579, 262, 327, 1662, 9166, 579, 9364, 321, 279, 321, 4649, 275, 876, 321, 11011, 576, 4097, 323, 8517, 324, 14695, 324, 274, 4281, 10436, 325, 279, 22779, 16875, 579, 262, 18431, 318, 7116, 1881, 9166, 579, 262, 1220, 279, 268, 1556, 268, 4962, 307, 876, 281, 6321, 281, 876, 269, 32076, 276, 4792, 22779, 16875, 579, 262, 4067, 9166, 579, 262, 2908, 318, 15953, 262, 348, 2676, 1363, 2715, 340, 262, 2421, 5052, 9166, 476, 6245, 277, 2676, 16875, 579, 262, 20880, 25292, 9166, 579, 262, 1952, 997, 566, 270, 24934, 564, 3613, 3195, 22779, 16875, 579, 262, 327, 1662, 9166, 579, 262, 272, 321, 5392, 4206, 8287, 27219, 278, 25900, 9032, 7251, 273, 320, 1015, 324, 4375, 272, 324, 9083, 323, 275, 321, 22779, 16875, 579, 262, 18431, 318, 7116, 1881, 9166, 579, 262, 1220, 279, 268, 1556, 268, 4962, 307, 876, 281, 6321, 281, 2767, 269, 2004, 279, 278, 3066, 22779, 16875, 579, 262, 4067, 9166, 579, 262, 1245, 318, 15953, 262, 348, 6540, 1038, 7711, 12407, 18772, 281, 6882, 519, 2164, 1210, 713, 18772, 454, 1038, 7711, 6943, 18772, 281, 1193, 454, 1038, 7711, 12407, 3970, 281, 2132, 519, 1101, 834, 3916, 527, 257, 3615, 1336, 454, 1038, 7711, 6943, 3970, 281, 703, 454, 1038, 7711, 12407, 15262, 281, 2132, 3615, 609, 4408, 3152, 982, 834, 5658, 518, 4840, 1038, 7711, 6943, 15262, 281, 1193, 454, 1038, 7711, 12407, 2619, 281, 2132, 782, 3615, 538, 834, 12949, 4840, 1038, 7711, 6943, 2619, 281, 1193, 454, 1038, 7711, 12407, 1642, 574, 3438, 281, 946, 713, 1915, 607, 513, 1642, 574, 3438, 585, 1016, 29715, 1559, 454, 1038, 7711, 6943, 1642, 574, 3438, 281, 1347, 692, 1038, 7711, 337, 6943, 281, 1592, 20719, 257, 4067, 9899, 257, 29389, 267, 834, 327, 1662, 9899, 24222, 834, 21653, 9899, 24222, 834, 6943, 9899, 1862, 348, 994, 1038, 7711, 8873, 281, 513, 1592, 540, 782, 8708, 9623, 607, 21594, 609, 519, 454, 4449, 10569, 834, 4067, 2580, 834, 327, 1662, 2580, 834, 21653, 2580, 543, 834, 6943, 4840, 1038, 8173, 1038, 1612, 916, 9131, 8971, 11172, 815, 1412, 329, 5459, 7055, 1038, 1365, 815, 1582, 11519, 4289, 318, 15953, 338, 318, 3863, 18692, 2018, 18772, 267, 3970, 267, 15262, 267, 2619, 267, 1642, 574, 3438, 267, 2878, 1706, 916, 994, 1038, 2132, 795, 5459, 318, 2903, 338, 263, 4046, 2020, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 1592, 318, 15953, 338, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 672, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 17776, 4408, 540, 782, 700, 346, 30606, 348, 338, 538, 519, 700, 346, 3519, 1555, 518, 348, 780, 1038, 6206, 5320, 7440, 616, 5701, 607, 26824, 13214, 6724, 543, 666, 454, 1038, 581, 1031, 547, 3970, 519, 1267, 1305, 630, 5408, 519, 16286, 12319, 6393, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 3299, 1412, 1245, 318, 15953, 262, 6540, 1038, 7711, 12407, 18772, 281, 6882, 519, 2164, 1210, 713, 18772, 454, 1038, 7711, 6943, 18772, 281, 1193, 454, 1038, 7711, 12407, 3970, 281, 2132, 519, 1101, 834, 3916, 527, 257, 3615, 1336, 454, 1038, 7711, 6943, 3970, 281, 703, 454, 1038, 7711, 12407, 15262, 281, 2132, 3615, 609, 4408, 3152, 982, 834, 5658, 518, 4840, 1038, 7711, 6943, 15262, 281, 1193, 454, 1038, 7711, 12407, 2619, 281, 2132, 782, 3615, 538, 834, 12949, 4840, 1038, 7711, 6943, 2619, 281, 1193, 454, 1038, 7711, 12407, 1642, 574, 3438, 281, 946, 713, 1915, 607, 513, 1642, 574, 3438, 585, 1016, 29715, 1559, 454, 1038, 7711, 6943, 1642, 574, 3438, 281, 1347, 692, 1038, 7711, 337, 6943, 281, 1592, 19304, 994, 1038, 7711, 8873, 281, 513, 1592, 540, 782, 8708, 4408, 454, 1038, 8173, 1038, 1365, 815, 1582, 11519, 4289, 318, 15953, 338, 318, 3863, 263, 2181, 25785, 284, 2181, 25785, 267, 3970, 284, 3916, 527, 2676, 14030, 8587, 15262, 284, 5658, 518, 267, 2619, 284, 12949, 2676, 14030, 8587, 1642, 574, 3438, 284, 23437, 574, 3438, 267, 2878, 1706, 916, 994, 1038, 2132, 1365, 21858, 6050, 10797, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 9041, 4289, 318, 15953, 338, 318, 3863, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 16875, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 16849, 513, 32004, 1592, 540, 4859, 1843, 9623, 563, 1038, 8173, 1038, 952, 18772, 912, 2018, 1612, 916, 9131, 2181, 25785, 11172, 815, 18772, 454, 1038, 952, 3970, 912, 2018, 1612, 916, 9131, 3916, 527, 11172, 815, 3970, 454, 1038, 952, 15262, 912, 2018, 1612, 916, 9131, 5658, 518, 11172, 815, 15262, 454, 1038, 952, 1642, 574, 3438, 912, 2018, 1612, 916, 9131, 23437, 574, 3438, 11172, 815, 1642, 574, 3438, 454, 1038, 952, 711, 2619, 568, 7183, 912, 2018, 1612, 916, 9131, 12949, 11172, 815, 2619, 476, 1948, 8900, 12673, 616, 4570, 454, 1038, 3210, 815, 1582, 26769, 333, 6230, 820, 318, 7528, 652, 3488, 294, 4953, 3299, 1496, 1345, 20508, 3910, 1612, 916, 284, 1706, 916, 994, 1038, 952, 630, 24978, 14714, 9850, 2999, 476, 1220, 264, 610, 630, 24978, 14714, 9850, 3436, 476, 26482, 2187, 2018, 3210, 18667, 4590, 2018, 6318, 15863, 13286, 263, 24978, 14714, 9850, 267, 3210, 18622, 1783, 994, 1038, 2132, 3210, 18667, 10797, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 1582, 10947, 318, 15953, 31107, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 20508, 692, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 18419, 318, 15953, 4311, 267, 1843, 12173, 2187, 1038, 8173, 1038, 32719, 1836, 4894, 513, 4859, 1843, 780, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 3299, 1412, 1245, 318, 15953, 23300, 1038, 21188, 8708, 19709, 8541, 318, 15953, 3488, 1245, 318, 15953, 5073, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 262, 6540, 1038, 7711, 12407, 1843, 12173, 281, 519, 2012, 540, 519, 1843, 547, 23074, 454, 1038, 7711, 6943, 1843, 12173, 281, 1193, 454, 1038, 8173, 1038, 952, 568, 27349, 24998, 12173, 267, 8629, 2187, 2018, 1843, 12173, 815, 1843, 12173, 20508, 454, 1038, 952, 711, 1843, 12173, 912, 2018, 6318, 769, 20777, 30606, 11243, 24998, 12173, 994, 1038, 3210, 815, 1582, 26769, 333, 6230, 820, 318, 7528, 652, 3488, 14701, 4041, 15288, 3299, 1496, 1345, 20508, 267, 1843, 12173, 7481, 1038, 952, 630, 24978, 14714, 9850, 2999, 476, 1220, 264, 610, 630, 24978, 14714, 9850, 3436, 476, 26482, 2187, 2018, 3210, 18667, 4590, 2018, 6318, 15863, 13286, 263, 24978, 14714, 9850, 267, 3210, 18622, 1783, 994, 1038, 3210, 18667, 30800, 5035, 29597, 518, 24342, 24998, 2187, 825, 8173, 825, 1323, 12055, 762, 2164, 1305, 1843, 585, 29597, 619, 780, 825, 901, 1362, 28352, 8675, 268, 543, 1592, 6438, 17103, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 598, 333, 267, 11149, 284, 4289, 3890, 2187, 1038, 1582, 11519, 935, 1555, 619, 815, 11149, 454, 1038, 1582, 11519, 12849, 815, 1496, 330, 9131, 4067, 11172, 585, 737, 538, 11149, 2639, 1038, 1582, 26769, 333, 815, 598, 333, 692, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 29597, 518, 4311, 26769, 333, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 4067, 11172, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 12248, 11172, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 2421, 5052, 11172, 2020, 825, 1219, 6449, 12033, 331, 823, 9191, 1345, 267, 1775, 267, 795, 2187, 1038, 2132, 1496, 3519, 1555, 518, 4311, 26769, 333, 267, 737, 9131, 4067, 28710, 737, 9131, 12248, 28710, 26444, 4449, 23526, 737, 9131, 21653, 262, 8079, 585, 737, 538, 1582, 11519, 935, 1555, 619, 5157, 281, 329, 316, 6540, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 6221, 2187, 1038, 2132, 6221, 538, 1582, 11519, 12849, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1412, 3519, 1555, 518, 24342, 281, 4939, 338, 11149, 262, 4939, 7003, 4311, 11519, 935, 1555, 619, 994, 825, 6449, 1598, 1029, 815, 6449, 516, 1440, 1029, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 7003, 4311, 11519, 935, 1555, 619, 2020, 825, 1219, 4994, 4311, 267, 1871, 267, 2608, 16911, 2187, 1038, 8173, 1038, 7024, 606, 8870, 585, 519, 1101, 4994, 540, 1871, 454, 1038, 8173, 1038, 2132, 1582, 11519, 12849, 28827, 263, 7407, 267, 2608, 16911, 2020, 825, 1219, 1293, 4311, 267, 1871, 2187, 1038, 8173, 1038, 7024, 519, 1297, 540, 20825, 540, 1871, 454, 1038, 8173, 1038, 2132, 1582, 11519, 12849, 29644, 263, 7407, 2020, 258, 642, 574, 281, 3553, 513, 328, 2220, 284, 275, 512, 338, 284, 275, 1000, 284, 271, 4228, 339, 629, 912, 0, 454, 258, 291, 27364, 542, 9222, 598, 13798, 15282, 632, 1958, 2815, 30685, 2274, 564, 3097, 323, 27364, 542, 9222, 8867, 564, 284, 19127, 825, 476, 271, 2433, 834, 275, 20350, 825, 476, 272, 2433, 834, 277, 20350, 825, 476, 273, 2433, 834, 274, 20350, 825, 476, 274, 2433, 834, 347, 20350, 825, 476, 275, 2433, 834, 272, 20350, 825, 476, 276, 2433, 834, 263, 309, 264, 20350, 825, 476, 277, 2433, 678, 257, 7268, 264, 2580, 258, 834, 337, 257, 734, 285, 16948, 6446, 1100, 512, 1263, 320, 679, 24140, 31980, 834, 1422, 27029, 825, 476, 278, 2433, 834, 271, 20350, 825, 476, 279, 2433, 834, 276, 20350, 825, 476, 280, 2433, 834, 278, 20350, 825, 476, 1015, 2433, 678, 257, 315, 270, 20350, 825, 476, 1556, 2433, 834, 319, 2260, 20350, 8679, 258, 291, 27364, 542, 9222, 598, 7873, 15282, 632, 1958, 2815, 30685, 16453, 454, 323, 27364, 542, 9222, 31863, 284, 19127, 825, 476, 271, 2433, 834, 288, 20350, 825, 476, 272, 2433, 834, 289, 20350, 825, 476, 273, 2433, 834, 292, 20350, 825, 476, 274, 2433, 834, 296, 20350, 825, 476, 275, 2433, 834, 299, 20350, 825, 476, 276, 2433, 834, 300, 20350, 825, 476, 277, 2433, 834, 301, 20350, 825, 476, 278, 2433, 834, 302, 20350, 825, 476, 279, 2433, 834, 306, 20350, 825, 476, 280, 2433, 834, 307, 20350, 825, 476, 1015, 2433, 834, 309, 20350, 825, 476, 1556, 2433, 834, 310, 20350, 8679, 258, 293, 15635, 542, 973, 32079, 20017, 6511, 632, 1257, 334, 267, 291, 27364, 542, 16619, 10557, 586, 667, 27364, 542, 9222, 16453, 454, 3698, 3690, 4933, 597, 318, 5719, 318, 31863, 318, 288, 318, 8867, 564, 6600, 19189, 318, 31863, 28504, 545, 299, 2465, 28504, 545, 301, 528, 2187, 8931, 825, 9992, 848, 318, 8867, 564, 284, 24001, 258, 291, 27364, 542, 9222, 6446, 620, 332, 659, 523, 541, 5451, 3288, 9992, 848, 911, 3027, 5866, 22562, 825, 9992, 848, 318, 548, 564, 284, 3269, 258, 290, 611, 6511, 679, 3288, 6446, 620, 332, 659, 523, 541, 5451, 1714, 733, 523, 18480, 1642 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 258, 5173, 543, 2328, 1101, 7154, 1954, 336, 563, 453, 14140, 300, 1712, 26466, 336, 815, 1293, 300, 1712, 293, 15968, 29254, 8624, 4379, 267, 1101, 300, 1712, 994, 453, 13906, 8368, 18118, 6910, 6600, 1009, 300, 1712, 26466, 336, 264, 8528, 453, 258, 1265, 1101, 25042, 4939, 454, 453, 13906, 8368, 18118, 6910, 263, 5180, 9230, 14140, 300, 1712, 26466, 336, 2608, 476, 1911, 264, 1315, 630, 6352, 29254, 8624, 4379, 264, 910, 7508, 11749, 1132, 15575, 1070, 476, 272, 264, 25589, 453, 258, 5822, 25042, 2051, 8435, 6726, 566, 454, 453, 258, 5299, 1239, 18134, 883, 513, 1007, 1239, 18134, 454, 453, 4206, 8624, 4379, 290, 4878, 815, 17093, 8624, 4379, 6983, 4878, 4590, 453, 258, 4894, 782, 9343, 602, 2270, 519, 1101, 7154, 454, 453, 4206, 8624, 4379, 290, 4878, 815, 17093, 8624, 4379, 290, 4878, 314, 4206, 8624, 4379, 290, 4878, 11203, 1101, 300, 1712, 2639, 453, 258, 1265, 519, 7154, 540, 519, 1007, 1239, 18134, 267, 713, 1058, 2285, 803, 519, 2034, 7154, 454, 453, 16149, 300, 1712, 815, 17093, 8624, 4379, 290, 4878, 6230, 1712, 14061, 559, 665, 314, 271, 2639, 453, 13906, 8368, 18118, 6910, 263, 16149, 300, 1712, 994, 453, 16149, 300, 1712, 26466, 336, 815, 1293, 300, 1712, 293, 15968, 29254, 8624, 4379, 290, 4878, 267, 2034, 300, 1712, 994, 453, 13906, 8368, 18118, 6910, 263, 16149, 300, 1712, 26466, 336, 2020, 453, 13906, 8368, 18118, 6910, 263, 5180, 9230, 16149, 300, 1712, 26466, 336, 2608, 476, 1911, 264, 1315, 630, 6352, 29254, 8624, 4379, 264, 910, 7508, 11749, 1132, 15575, 1070, 476, 272, 264, 12467, 16596, 3032, 8368, 18118, 692, 13906, 8722, 1155, 10574, 815, 1496, 321, 16742, 25205, 514, 1275, 8722, 1155, 8368, 3488, 310, 3036, 298, 12710, 19798, 3299, 17093, 9131, 1740, 5035, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3633, 24102, 3299, 17093, 9131, 25531, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3633, 24102, 9539, 9331, 3299, 17093, 9131, 25531, 5991, 636, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 300, 2752, 3951, 3201, 4149, 307, 2969, 4785, 3299, 17093, 9131, 3405, 1388, 3613, 9850, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 302, 6717, 308, 5183, 3582, 3299, 17093, 9131, 21232, 566, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3918, 6369, 16739, 295, 7709, 3299, 17093, 9131, 30447, 1222, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 305, 19781, 3299, 17093, 9131, 15869, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 10345, 311, 3299, 17093, 9131, 16303, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 2793, 20937, 4211, 5495, 301, 15045, 312, 3299, 17093, 9131, 333, 894, 28029, 787, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 307, 2752, 294, 4953, 3299, 17093, 9131, 339, 13759, 262, 8079, 2639, 322, 1538, 5566, 8722, 1155, 10574, 20988, 815, 19073, 6185, 1092, 20988, 16597, 815, 3032, 8722, 1155, 10574, 267, 9587, 815, 3032, 8722, 1155, 301, 1868, 994, 322, 1538, 5566, 8722, 1155, 10574, 20988, 30419, 32269, 3488, 32220, 11907, 11305, 14096, 26326, 6795, 290, 2969, 27406, 3299, 4994, 25716, 267, 20927, 18989, 264, 0, 258, 32633, 3691, 281, 5903, 553, 18258, 454, 258, 5136, 27826, 16343, 281, 16334, 652, 571, 1714, 30775, 542, 600, 1304, 334, 632, 15255, 1592, 553, 679, 5124, 454, 258, 4201, 528, 281, 13198, 857, 334, 6424, 5651, 17505, 645, 10961, 21731, 454, 258, 3171, 15939, 281, 476, 273, 632, 15567, 1470, 476, 1001, 280, 692, 5814, 15259, 692, 258, 5719, 743, 541, 32115, 632, 812, 5028, 2518, 3288, 30458, 454, 4289, 320, 17342, 6540, 258, 14343, 955, 8894, 258, 293, 9629, 11252, 16948, 989, 2958, 541, 3688, 513, 3288, 30458, 454, 258, 14343, 955, 454, 3698, 989, 2958, 541, 2005, 655, 5560, 6737, 2187, 825, 30458, 6910, 5560, 6737, 9239, 258, 24801, 454, 258, 293, 9629, 11252, 16948, 18664, 32057, 3688, 632, 3288, 30458, 454, 258, 24801, 454, 3698, 5154, 14373, 2005, 655, 5560, 6737, 2187, 825, 952, 630, 323, 6737, 538, 30458, 2187, 1038, 30458, 31927, 5560, 6737, 994, 1038, 1820, 2891, 291, 6737, 20700, 574, 514, 5964, 5602, 825, 3116, 912, 1038, 1820, 2891, 14976, 6221, 12971, 2291, 324, 679, 3288, 30458, 29389, 2020, 258, 24801, 454, 258, 293, 9629, 11252, 16948, 791, 3234, 597, 17485, 3693, 657, 632, 3288, 30458, 454, 258, 24801, 454, 3698, 791, 3234, 597, 8266, 320, 10031, 825, 795, 284, 271, 454, 825, 585, 1775, 538, 30458, 912, 1038, 1820, 2891, 2005, 655, 281, 14307, 329, 2437, 267, 14307, 1775, 994, 1038, 795, 815, 795, 266, 272, 7531, 258, 24464, 340, 9030, 1642, 1982, 320, 454, 3698, 1292, 10031, 825, 524, 545, 5979, 815, 6936, 454, 825, 1247, 630, 322, 545, 5979, 2652, 6936, 2187, 1038, 1820, 2891, 19203, 29441, 16948, 3004, 321, 1690, 541, 598, 5903, 553, 19203, 5602, 1038, 1820, 2891, 272, 269, 3397, 2958, 541, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 273, 269, 22084, 8364, 796, 3693, 334, 679, 3288, 30458, 5602, 1038, 1820, 2891, 274, 269, 3525, 881, 541, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 275, 269, 16907, 32057, 796, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 276, 269, 590, 3201, 7644, 5602, 1038, 1566, 322, 542, 284, 703, 9272, 2891, 5085, 296, 297, 288, 772, 2793, 20525, 5746, 2177, 281, 27328, 13872, 1038, 1820, 19629, 333, 5602, 13872, 1038, 952, 263, 641, 322, 542, 2652, 476, 272, 2187, 2018, 6221, 815, 3403, 2891, 4504, 28558, 796, 27089, 1642, 3693, 334, 281, 19515, 2018, 989, 2958, 541, 2005, 655, 263, 14403, 994, 1038, 8640, 630, 641, 322, 542, 2652, 476, 273, 2187, 2018, 1820, 4590, 1038, 8640, 630, 641, 322, 542, 2652, 476, 274, 2187, 2018, 1820, 4590, 1038, 8640, 630, 641, 322, 542, 2652, 476, 275, 2187, 2018, 6221, 815, 3403, 2891, 292, 5554, 324, 796, 3693, 334, 513, 18664, 32057, 281, 19515, 2018, 5154, 14373, 2005, 655, 263, 14403, 994, 1038, 8640, 630, 641, 322, 542, 2652, 476, 276, 2187, 2018, 1820, 2891, 1862, 293, 2562, 667, 5085, 11550, 16165, 24717, 907, 23528, 2018, 524, 545, 5979, 815, 8771, 454, 1038, 3116, 912, 2018, 1820, 2891, 5353, 548, 764, 542, 320, 796, 1303, 3266, 1303, 516, 476, 272, 586, 476, 276, 5602, 2018, 1820, 19629, 333, 257, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 10797, 0, 12163, 265, 8606, 17575, 281, 567, 695, 320, 16348, 18258, 454, 265, 8191, 281, 672, 13019, 604, 8566, 630, 1889, 327, 5471, 326, 738, 2131, 514, 476, 2311, 476, 26453, 534, 857, 684, 643, 12975, 994, 265, 14645, 912, 265, 2598, 25068, 281, 901, 3009, 568, 4843, 834, 553, 568, 257, 1510, 1022, 18715, 563, 265, 19672, 281, 825, 23840, 540, 519, 590, 11190, 268, 16348, 814, 3107, 5690, 563, 23526, 590, 11190, 268, 16348, 568, 835, 540, 519, 1614, 6620, 538, 519, 590, 11190, 273, 454, 23526, 20487, 269, 634, 1866, 267, 590, 11190, 268, 29575, 543, 590, 11190, 268, 24423, 267, 616, 711, 454, 23526, 6035, 538, 713, 6388, 563, 23526, 1280, 513, 1732, 5075, 282, 23990, 20487, 666, 581, 1336, 1934, 912, 25639, 2608, 5291, 2517, 14369, 21683, 8542, 626, 10993, 9706, 3016, 725, 11721, 2354, 11721, 2354, 5197, 268, 273, 11721, 2354, 5197, 268, 273, 5976, 577, 836, 523, 582, 823, 15005, 3097, 23526, 609, 930, 7778, 912, 25639, 2608, 4179, 2517, 339, 8962, 269, 2884, 325, 3820, 270, 6255, 6447, 29265, 325, 322, 5379, 274, 275, 258, 7611, 268, 277, 269, 273, 692, 23526, 13242, 9504, 607, 513, 2707, 2986, 28342, 665, 1712, 10778, 25639, 2608, 4179, 2517, 523, 25769, 3820, 28293, 13478, 11190, 268, 273, 258, 303, 12065, 665, 1712, 692, 23526, 13332, 2450, 281, 24423, 3787, 454, 23526, 19243, 2450, 281, 476, 16348, 3787, 454, 17264, 3097, 23526, 8206, 4063, 281, 713, 5690, 568, 1634, 607, 11630, 585, 20099, 10137, 4323, 454, 7386, 2433, 901, 4323, 568, 4570, 950, 519, 1239, 543, 4611, 1129, 8132, 267, 7474, 568, 17223, 609, 513, 5728, 1883, 267, 568, 1634, 1247, 5728, 4486, 910, 338, 5306, 268, 568, 711, 1634, 269, 769, 7925, 12240, 262, 609, 5728, 15418, 2409, 267, 30429, 666, 946, 713, 5690, 267, 799, 568, 849, 6322, 547, 581, 8045, 538, 713, 23789, 563, 7386, 2433, 1280, 811, 4449, 8931, 4449, 8587, 2608, 4179, 2517, 523, 25769, 3820, 28293, 13624, 2654, 318, 2169, 3290, 318, 3430, 871, 454, 4449, 8587, 2608, 4179, 2517, 24108, 4732, 330, 1638, 9798, 3820, 270, 1001, 273, 270, 22336, 2251, 3917, 537, 16250, 539, 3562, 268, 3104, 268, 12671, 3620, 1662, 27480, 268, 2169, 3290, 31281, 2931, 454, 20701, 2162, 2422, 995, 3252, 585, 3787, 270, 2421, 974, 11486, 2435, 270, 20657, 2711, 270, 28411, 1228, 31565, 4238, 476, 12693, 454, 3698, 6460, 2414, 289, 2572, 30415, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 865, 1934, 547, 6460, 519, 12673, 883, 3787, 792, 2001, 454, 825, 1948, 4063, 281, 649, 949, 946, 513, 1599, 855, 1775, 991, 1169, 1900, 3254, 593, 519, 3977, 1934, 2483, 825, 679, 284, 11415, 269, 523, 13892, 4590, 825, 2855, 17342, 2639, 825, 585, 1775, 538, 679, 912, 1038, 2855, 6910, 9217, 994, 825, 2132, 2855, 692, 3698, 2262, 3519, 591, 614, 263, 6783, 8170, 292, 548, 916, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 339, 1389, 476, 275, 476, 279, 19229, 543, 17838, 547, 476, 3953, 11353, 563, 825, 2458, 3660, 284, 271, 454, 825, 585, 1605, 332, 538, 5044, 8170, 292, 548, 916, 912, 8587, 1948, 2745, 19629, 974, 24333, 324, 12661, 994, 8587, 2458, 3660, 284, 322, 3326, 3660, 16732, 273, 1262, 279, 11924, 324, 12661, 454, 8587, 1948, 2745, 19629, 339, 29146, 15010, 2580, 16535, 16216, 12661, 1070, 257, 315, 339, 15010, 24333, 16535, 6262, 3326, 3660, 4917, 825, 1948, 2745, 2891, 322, 24333, 322, 3326, 3660, 994, 825, 2132, 2458, 3660, 692, 3698, 20099, 5976, 5038, 4226, 263, 21920, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 17838, 519, 20099, 547, 476, 5038, 3787, 6041, 267, 3097, 825, 1948, 2132, 786, 581, 476, 279, 8870, 2094, 649, 1705, 711, 946, 476, 3953, 5560, 580, 652, 15481, 264, 585, 713, 2484, 563, 825, 2855, 17342, 271, 585, 1535, 538, 2039, 263, 5038, 22708, 825, 538, 23605, 284, 16535, 263, 21920, 25011, 273, 281, 316, 1948, 268, 273, 568, 585, 476, 271, 321, 851, 2094, 649, 616, 3843, 547, 1293, 519, 11353, 563, 825, 952, 7003, 263, 514, 23605, 264, 285, 273, 1262, 5038, 912, 1038, 6318, 28759, 3488, 7407, 568, 8273, 982, 476, 273, 1262, 5038, 5073, 825, 1775, 284, 6352, 263, 514, 23605, 9984, 272, 454, 825, 1247, 1775, 285, 284, 271, 912, 1038, 2855, 314, 8287, 25829, 24557, 514, 23605, 314, 6352, 263, 514, 23605, 9984, 272, 25829, 2639, 1038, 1775, 268, 284, 272, 454, 825, 1948, 2745, 19906, 994, 825, 1948, 322, 3326, 728, 883, 476, 279, 17486, 912, 825, 607, 289, 514, 284, 3269, 454, 825, 607, 295, 1410, 17342, 2639, 825, 585, 795, 538, 2039, 263, 5038, 2187, 1038, 952, 630, 329, 266, 272, 264, 260, 279, 256, 284, 271, 912, 2018, 607, 289, 514, 23785, 1598, 19906, 14728, 7481, 1038, 3116, 912, 2018, 607, 289, 514, 23785, 1598, 19906, 14728, 7481, 2018, 607, 295, 1410, 6910, 263, 553, 289, 514, 994, 2018, 607, 289, 514, 284, 3269, 454, 825, 1948, 935, 3200, 689, 9352, 547, 8870, 910, 279, 3787, 2483, 825, 607, 13356, 17342, 2639, 825, 585, 5569, 538, 607, 295, 1410, 912, 1038, 607, 13356, 6910, 17301, 30415, 267, 273, 4917, 825, 1948, 2745, 263, 553, 13356, 994, 825, 2132, 607, 13356, 19638, 2162, 16875, 26914, 4629, 674, 7419, 290, 16739, 2018, 476, 2971, 692, 258, 891, 3252, 616, 2469, 547, 581, 1031, 538, 814, 3107, 1184, 269, 1358, 616, 711, 513, 851, 540, 519, 670, 4770, 5690, 267, 855, 2052, 581, 10924, 607, 4295, 2609, 540, 32599, 16348, 3097, 23026, 15481, 815, 476, 5038, 454, 21745, 652, 15481, 815, 476, 3953, 692, 3698, 8863, 3287, 11971, 267, 345, 2187, 825, 1948, 3442, 263, 1535 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 333, 815, 3403, 263, 1412, 301, 727, 798, 7817, 324, 281, 30386, 322, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 28688, 281, 1412, 4917, 337, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 4676, 3419, 518, 14397, 281, 1412, 4917, 332, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 27190, 334, 2372, 25366, 281, 1412, 4917, 338, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 29813, 557, 974, 281, 1412, 11723, 336, 272, 815, 524, 2608, 476, 275, 454, 336, 273, 815, 678, 2608, 476, 276, 454, 336, 274, 815, 544, 2608, 476, 274, 269, 2004, 454, 336, 275, 815, 521, 2608, 476, 274, 454, 338, 5448, 815, 7117, 272, 266, 336, 273, 266, 336, 274, 266, 336, 275, 692, 2745, 4590, 2745, 3488, 5141, 1304, 324, 3299, 333, 994, 2745, 4590, 2745, 3488, 570, 8475, 320, 30386, 2745, 6600, 262, 315, 333, 28688, 815, 681, 259, 476, 275, 267, 876, 7895, 573, 657, 281, 2715, 322, 348, 27089, 281, 2715, 336, 272, 348, 1422, 333, 4676, 3419, 518, 14397, 815, 681, 259, 476, 276, 267, 876, 7895, 573, 657, 281, 2715, 337, 348, 27089, 281, 2715, 336, 273, 348, 1422, 333, 27190, 334, 844, 25366, 815, 681, 259, 476, 274, 267, 2004, 7895, 573, 657, 281, 2715, 332, 348, 27089, 281, 2715, 336, 274, 348, 1422, 333, 29813, 557, 974, 815, 681, 259, 476, 274, 267, 876, 7895, 573, 657, 281, 2715, 338, 348, 27089, 281, 2715, 336, 275, 348, 5073, 2745, 4590, 2745, 6600, 262, 6944, 320, 798, 7817, 324, 2715, 333, 348, 815, 2715, 338, 5448, 348, 5073, 0, 1440, 24982, 815, 6936, 692, 333, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 703, 324, 10098, 281, 1412, 3738, 2020, 1721, 1775, 538, 2039, 630, 273, 19885, 2187, 825, 952, 562, 4939, 1775, 2652, 476, 271, 912, 1038, 2215, 334, 815, 8771, 454, 604, 2215, 334, 912, 825, 1820, 3799, 10086, 2946, 2215, 334, 5073, 12828, 912, 825, 1820, 3799, 10086, 301, 14244, 20527, 2215, 334, 17210, 0, 333, 272, 815, 10581, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 333, 273, 815, 10581, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 604, 562, 272, 2999, 562, 273, 912, 825, 1820, 3799, 272, 267, 1412, 324, 262, 2073, 333, 273, 994, 12828, 912, 825, 1820, 3799, 273, 267, 1412, 324, 262, 2073, 333, 272, 994, 0, 26611, 16535, 270, 7090, 454, 5814, 19523, 692, 331, 815, 1496, 328, 585, 1775, 538, 2039, 263, 2004, 264, 952, 476, 1775, 10922, 276, 6540, 2745, 10857, 2020, 18411, 15893, 6783, 815, 1496, 328, 585, 1775, 538, 1535, 9792, 263, 1911, 264, 952, 711, 630, 328, 4939, 476, 273, 264, 6540, 454, 27219, 815, 476, 271, 454, 1721, 1535, 538, 1535, 9792, 263, 1015, 2187, 825, 1297, 6783, 6910, 263, 8681, 842, 263, 271, 267, 4649, 4917, 2745, 630, 276, 285, 284, 15893, 6783, 2020, 692, 15893, 8266, 815, 32582, 1948, 570, 7238, 3387, 561, 18863, 516, 327, 9926, 5451, 21542, 454, 16838, 301, 13246, 815, 11713, 27219, 815, 476, 271, 692, 1721, 1775, 538, 2039, 263, 1911, 2567, 1948, 2473, 1605, 332, 385, 365, 513, 512, 7238, 3387, 513, 524, 1731, 331, 1380, 531, 5433, 7238, 2741, 329, 6686, 330, 454, 453, 15893, 8266, 6910, 263, 8681, 842, 263, 271, 267, 4200, 4917, 2745, 630, 15893, 8266, 264, 258, 330, 749, 554, 9609, 513, 22408, 1605, 329, 26408, 1850, 344, 523, 3331, 511, 4445, 562, 655, 513, 524, 1731, 331, 639, 332, 698, 3316, 8709, 1649, 928, 780, 1721, 1775, 538, 2039, 12759, 28840, 8266, 15892, 14851, 1297, 8266, 5157, 316, 4939, 476, 273, 2652, 476, 271, 912, 453, 453, 16838, 301, 13246, 6910, 28840, 8266, 5157, 7481, 28768, 2745, 630, 16838, 301, 13246, 2020, 2745, 263, 8681, 9792, 263, 271, 267, 1911, 4917, 18257, 0, 5814, 30220, 692, 258, 293, 7419, 290, 16739, 1366, 9339, 454, 258, 9577, 547, 2638, 2418, 609, 1152, 835, 1871, 3079, 540, 476, 273, 543, 4227, 454, 2742, 652, 4592, 815, 1496, 1556, 267, 476, 2420, 267, 476, 3451, 267, 476, 4510, 6540, 3698, 7857, 13765, 6025, 342, 617, 580, 1080, 17107, 825, 952, 7003, 6025, 342, 617, 580, 1080, 264, 2999, 476, 273, 912, 1038, 1948, 1820, 263, 12148, 994, 1038, 1948, 1820, 6600, 10454, 1871, 814, 1152, 835, 7857, 281, 2715, 13512, 617, 580, 1080, 348, 5602, 1038, 1871, 815, 535, 257, 271, 346, 13512, 617, 580, 1080, 348, 4840, 1038, 1948, 1820, 6600, 10454, 6378, 1871, 568, 281, 2715, 7407, 348, 5602, 1038, 15254, 815, 703, 263, 7407, 314, 271, 8079, 1341, 703, 263, 7407, 314, 272, 20285, 1038, 952, 15254, 3436, 476, 280, 912, 2018, 1193, 272, 815, 1193, 263, 12534, 994, 2018, 15254, 273, 815, 703, 19304, 272, 314, 271, 8079, 1341, 703, 19304, 272, 314, 272, 7481, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 3152, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 1948, 1820, 6600, 21893, 568, 519, 4389, 835, 281, 2715, 12534, 273, 348, 5602, 2018, 2132, 263, 12534, 273, 994, 1038, 3116, 912, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 1447, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 2132, 263, 12534, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 16178, 994, 1038, 1948, 1820, 6600, 10454, 1871, 814, 1079, 7857, 281, 2715, 13512, 617, 580, 1080, 348, 5602, 1038, 15254, 815, 703, 6025, 342, 617, 580, 1080, 314, 271, 8079, 1341, 703, 6025, 342, 617, 580, 1080, 314, 272, 20285, 1038, 952, 15254, 3436, 476, 280, 912, 2018, 1193, 272, 815, 1193, 263, 12534, 994, 2018, 15254, 273, 815, 703, 19304, 272, 314, 271, 8079, 1341, 703, 19304, 272, 314, 272, 7481, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 3152, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 1948, 1820, 6600, 21893, 568, 519, 4389, 835, 281, 2715, 12534, 273, 348, 5602, 2018, 2132, 263, 12534, 273, 994, 1038, 3116, 912, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 1447, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 2132, 263, 12534, 2020, 258, 13673, 291, 5508, 674, 7419, 290, 3582, 692, 258, 2411, 9339, 454, 258, 2411, 19567, 258, 8702, 454, 2745, 2891, 289, 1329, 1597, 18480, 513, 6746, 860, 17144, 269, 1470, 5602, 2745, 10797, 258, 289, 9500, 11261, 3403, 454, 258, 2411, 9339, 454, 11845, 318, 18782, 815, 3403, 2891, 292, 18285, 8913, 905, 15939, 632, 562, 659, 574, 1304, 334, 679, 1714, 3898, 334, 281, 30250, 5336, 300, 25286, 312, 312, 312, 281, 19515, 258, 14630, 9273, 454, 1485, 267, 3923, 267, 1032, 815, 4786, 17301, 267, 4266, 318, 18782, 21858, 3488, 268, 29125, 19689, 5091, 622, 815, 30220, 6155, 622, 12169, 792, 267, 3923, 267, 1554, 994, 25346, 342, 10734, 9500, 5091, 622, 815, 4332, 5091, 622, 269, 1598, 1111, 830, 2891, 260, 288, 5602, 339, 3736, 5091, 622, 815, 30220, 6155, 622, 6745, 3736, 4590, 258, 2411, 19567, 258, 289, 9500, 11261, 9273, 454, 258, 2411, 9339, 454, 341, 14729, 792, 815, 1193, 6357, 9500, 5091, 622, 13885, 792, 994, 341, 318, 24629, 815, 1193, 6357, 9500, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 341, 318, 1485, 815, 1193, 6357, 9500, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 29125, 258, 2411, 19567, 258, 8256, 738, 566, 4266, 3403, 692, 11845, 318, 18782, 815, 3403, 2891, 292, 18285, 3288, 905, 15939, 632, 5077, 320, 281, 30250, 5336, 300, 25286, 312, 312, 312, 281, 19515, 1485, 267, 3923, 267, 1032, 815, 4786, 17301, 267, 4266, 318, 18782, 21858, 3488, 268, 29125, 4621, 738, 5091, 622, 815, 30220, 6155, 622, 12169, 792, 267, 3923, 267, 1554, 2020, 258, 8256, 738, 11261, 9273, 454, 258, 2411, 9339, 454, 322, 14729, 792, 815, 1193, 263, 4621, 738, 5091, 622, 13885, 792, 994, 322, 14729, 792, 318, 15200, 815, 703, 6262, 14729, 792, 264, 1341, 476, 272, 454, 322, 14729, 792, 28804, 639, 815, 703, 6262, 14729, 792, 264, 910, 476, 272, 454, 322, 318, 24629, 815, 1193, 263, 4621, 738, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 322, 318, 1485, 815, 1193, 263, 4621, 738, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 10807, 2020, 2181, 318, 5632, 322, 23544, 6831, 14729, 792, 815, 703, 6262, 14729, 792, 314, 271, 8079, 1341, 703, 6262, 14729, 792, 314, 272, 8079, 1341, 703, 6262, 14729, 792, 314, 273, 8079, 1341, 703, 6262, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 6831, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 6831, 14729, 792, 4917, 258, 2411, 19567, 258, 9213, 6726, 725, 454, 258, 2411, 9339, 454, 339, 14729, 792, 815, 1193, 6025, 3736, 5091, 622, 13885, 792, 994, 339, 14729, 792, 318, 15200, 815, 703, 6025, 14729, 792, 264, 1341, 476, 272, 454, 339, 14729, 792, 28804, 639, 815, 703, 6025, 14729, 792, 264, 910, 476, 272, 454, 339, 318, 24629, 815, 1193, 6025, 3736, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 339, 318, 1485, 815, 1193, 6025, 3736, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 10807, 2020, 2181, 318, 5632, 322, 23544, 4671, 14729, 792, 815, 703, 6025, 14729, 792, 314, 271, 8079, 1341, 703, 6025, 14729, 792, 314, 272, 8079, 1341, 703, 6025, 14729, 792, 314, 273, 8079, 1341, 703, 6025, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 4671, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 14729, 792, 11723, 258, 2411, 9339, 7531, 2181, 318, 5632, 322, 23544, 14729, 792, 815, 703, 17635, 14729, 792, 314, 271, 8079, 1341, 703, 17635, 14729, 792, 314, 272, 8079, 1341, 703, 17635, 14729, 792, 314, 273, 8079, 1341, 703, 17635, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 14729, 792, 11723, 5632, 322, 23544, 318, 24629, 815, 703, 17635, 318, 24629, 314, 271, 8079, 1341, 703, 17635, 318, 24629, 314, 272, 20285, 5632, 322, 23544, 318, 1485, 815, 703, 17635, 318, 1485, 314, 271, 8079, 1341, 703, 17635, 318, 1485, 314, 272, 20285, 2181, 318, 5632, 322, 23544, 4671, 4973, 815, 703, 263, 5632, 322, 23544, 14729, 792, 264, 1341, 703, 263, 5632, 322, 23544, 318, 24629, 264, 1341, 703, 263, 5632, 322, 23544, 318, 1485, 2020, 604, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 1556, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 2420, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 3451, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 4510, 2187, 825, 4332, 24449, 12299, 8548, 2120, 815, 6936, 454, 825, 4332, 24449, 12299, 8548, 2120, 19056, 815, 840, 318, 5632, 322, 23544, 4671, 4973, 454, 825, 4332, 24449, 12299, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 4973, 4917, 12828, 912, 825, 4332, 24449, 12299, 8548, 2120, 815, 8771, 454, 825, 4332, 24449, 12299, 8548, 2120, 19056, 815, 8771, 454, 825, 4332, 24449, 12299, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 4973, 11723, 692, 258, 2411, 19567, 258, 11243, 3403, 454, 258, 2012, 318, 18782, 815, 3403, 2891, 292, 18285, 8913, 9930, 3691, 1264, 1729, 635, 334, 3284, 732, 576, 679, 8913, 7373, 549, 3540, 281, 834, 2020, 258, 24342, 454, 2745, 4590, 2745, 2891, 734, 28088, 15606, 632, 5077, 320, 4534, 5602, 2745, 6600, 257, 8256, 738, 320, 1483, 714, 3385, 1714, 546, 17144, 281, 2715, 339, 3736, 5091, 622, 348, 5602, 2745, 4590, 2745, 6600, 257, 307, 340, 905, 15939, 632, 562, 659, 574, 1304, 334, 1965, 2715, 19689, 5091, 622, 348, 5602, 2745, 6600, 257, 291, 17144, 632, 3288, 5033, 3570, 24140, 18372, 562, 659, 626, 324, 281, 2715, 25346, 342, 10734, 9500, 5091, 622, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 589, 25123, 2715, 341, 14729, 792, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 8544, 2715, 341, 318, 24629, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 546, 17144, 2715, 341, 318, 1485, 348, 5602, 2745, 4590, 2745, 6600, 21202, 25123, 1487, 322, 18480, 281, 2715, 2181, 318, 5632, 322, 23544, 14729, 792, 348, 5602, 2745, 6600, 257, 301, 14243, 1067, 334, 632, 589, 25123, 281, 2715, 5632, 322, 23544, 14729, 792, 348, 5602, 2745 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 305, 1678, 1523, 814, 8810, 547, 581, 7925, 547, 12879, 267, 543, 3573, 1382, 814, 1044, 13991, 547, 7114, 7301, 569, 1102, 3836, 8525, 305, 1678, 543, 2081, 547, 11716, 6402, 689, 6054, 609, 7301, 569, 1102, 3836, 8525, 305, 1678, 14325, 1103, 1880, 267, 630, 9895, 328, 268, 264, 743, 2216, 2950, 2099, 513, 1966, 269, 13017, 325, 15767, 568, 519, 1292, 1383, 269, 4746, 267, 2516, 540, 20730, 723, 513, 2603, 6402, 547, 1142, 824, 267, 855, 1360, 1906, 6402, 547, 519, 1964, 540, 519, 1357, 269, 634, 3390, 568, 602, 2899, 519, 4351, 1147, 2536, 4991, 883, 835, 540, 971, 2950, 646, 666, 1406, 1205, 856, 267, 4946, 811, 543, 811, 547, 519, 2146, 779, 8525, 305, 1678, 780, 23804, 971, 2950, 540, 1357, 3817, 267, 952, 789, 2119, 547, 2057, 7020, 267, 568, 606, 26128, 3620, 731, 1966, 630, 1348, 968, 14551, 26158, 634, 2626, 689, 5616, 543, 1866, 568, 547, 2308, 5728, 646, 584, 2524, 602, 2697, 891, 2950, 543, 1287, 10336, 1125, 741, 8525, 305, 1678, 780, 763, 1267, 568, 3875, 7301, 1064, 14476, 602, 10413, 16048, 4609, 543, 7301, 2258, 2510, 602, 7584, 3095, 325, 15767, 2362, 538, 519, 3406, 2164, 269, 769, 1840, 267, 519, 9658, 1097, 543, 519, 3586, 17408, 1136, 1118, 519, 4220, 30313, 720, 762, 585, 1357, 2861, 4213, 269, 898, 779, 513, 3190, 780, 2414, 17412, 267, 713, 568, 519, 5311, 540, 2621, 1384, 1892, 519, 3355, 2203, 7472, 2495, 1652, 2164, 3248, 1892, 789, 2097, 909, 609, 606, 740, 554, 665, 4368, 3248, 1892, 519, 2203, 568, 1869, 28879, 3983, 3248, 1892, 519, 2203, 3587, 8789, 20866, 3248, 1892, 1631, 649, 2461, 782, 3458, 14954, 780, 2467, 786, 2141, 581, 3983, 2979, 856, 972, 269, 1548, 2306, 713, 513, 1483, 705, 558, 1588, 568, 519, 9588, 540, 519, 1966, 267, 1775, 4318, 1421, 5616, 269, 1306, 513, 22301, 594, 1265, 621, 23892, 602, 835, 4062, 540, 3983, 6128, 5540, 1175, 827, 1169, 5769, 3593, 538, 519, 1158, 780, 12441, 594, 17854, 519, 10792, 1893, 602, 594, 1031, 1934, 286, 1411, 3580, 581, 519, 9794, 540, 602, 780, 19602, 1018, 568, 519, 1318, 1259, 540, 20823, 4609, 1759, 593, 6402, 286, 594, 3580, 2328, 513, 2022, 827, 602, 538, 519, 2282, 2104, 269, 10374, 4528, 281, 4894, 782, 968, 31260, 892, 780, 1607, 568, 606, 21626, 689, 513, 3476, 2376, 827, 8525, 305, 1678, 780, 10287, 13522, 281, 1934, 543, 1934, 780, 1012, 2904, 476, 2641, 267, 476, 1001, 272, 692, 2162, 1677, 7390, 5843, 18183, 538, 20098, 30988, 692, 293, 6150, 896, 281, 3377, 2443, 8834, 15223, 767, 773, 341, 7711, 476, 279, 281, 6812, 10681, 692, 19859, 18183, 786, 581, 4371, 538, 20098, 30988, 4873, 476, 277, 628, 543, 476, 278, 628, 269, 898, 568, 968, 325, 21682, 593, 1582, 30845, 30596, 543, 2582, 13653, 3301, 3549, 6100, 594, 4076, 2760, 1044, 547, 513, 10554, 899, 602, 267, 1775, 4318, 1421, 1875, 14092, 27854, 267, 543, 519, 1592, 540, 10529, 5654, 1360, 11141, 780, 2252, 596, 1544, 547, 7390, 543, 1616, 547, 10004, 267, 4757, 803, 269, 0, 4910, 1545, 28562, 609, 281, 19456, 23768, 262, 11532, 692, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2467, 616, 476, 4037, 2164, 692, 289, 5802, 11762, 3436, 19456, 23768, 543, 26344, 5852, 3436, 19456, 23768, 262, 11532, 692, 763, 6196, 3619, 1846, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 14328, 2361, 814, 1079, 9708, 609, 513, 8258, 593, 1283, 540, 1142, 2022, 269, 1703, 616, 1079, 29170, 14843, 727, 23161, 543, 7899, 540, 887, 6647, 799, 596, 666, 17063, 547, 741, 2458, 1513, 269, 1215, 666, 596, 5150, 873, 865, 789, 666, 1405, 269, 1547, 1547, 16317, 23871, 823, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 5723, 7374, 9128, 21203, 568, 513, 476, 274, 676, 476, 274, 676, 476, 274, 13306, 269, 8672, 623, 568, 476, 272, 270, 274, 2059, 9474, 630, 7474, 568, 6673, 2433, 623, 289, 815, 476, 272, 2433, 476, 273, 1070, 1448, 1627, 568, 476, 272, 270, 274, 2059, 23435, 543, 1448, 681, 568, 476, 272, 270, 274, 2059, 11581, 269, 1548, 568, 519, 1858, 540, 519, 6906, 623, 304, 305, 2496, 26574, 344, 9046, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 763, 6516, 2982, 513, 1360, 5230, 10051, 22277, 269, 898, 3112, 581, 24850, 855, 621, 666, 581, 9187, 6838, 1472, 513, 7944, 269, 634, 4305, 568, 547, 1847, 621, 267, 1510, 23510, 267, 538, 513, 3126, 540, 7140, 827, 519, 15174, 865, 602, 621, 269, 1547, 1547, 16317, 29493, 1154, 513, 28116, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 3368, 2275, 4209, 568, 2759, 883, 1079, 4773, 676, 513, 7077, 998, 519, 1279, 15497, 543, 693, 1318, 7285, 547, 621, 269, 2052, 596, 2721, 513, 2121, 540, 891, 4773, 286, 3657, 789, 9838, 2496, 288, 932, 1800, 569, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 8340, 519, 1858, 540, 519, 3045, 15252, 538, 2474, 540, 519, 3259, 540, 519, 16147, 799, 568, 17242, 547, 519, 6418, 5858, 780, 307, 559, 1540, 8293, 4100, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2005, 781, 2653, 547, 960, 856, 519, 2127, 540, 1034, 10945, 602, 649, 2743, 267, 855, 1018, 952, 789, 941, 21266, 1540, 2496, 300, 2660, 540, 17361, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 19456, 23768, 262, 14497, 1210, 23822, 906, 543, 4336, 2188, 780, 303, 732, 336, 2836, 322, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 31590, 4120, 13235, 568, 606, 31164, 6906, 609, 1614, 6252, 3515, 2469, 998, 519, 14622, 269, 12433, 519, 3259, 540, 519, 5011, 540, 519, 6906, 952, 519, 13902, 9883, 1063, 519, 6252, 269, 1547, 1547, 16317, 763, 30346, 541, 540, 932, 3930, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 306, 2438, 597, 3380, 616, 6537, 593, 519, 5011, 540, 513, 13551, 269, 28171, 602, 519, 2040, 540, 519, 2127, 540, 519, 2185, 524, 637, 30105, 568, 3160, 547, 519, 1858, 540, 519, 13551, 780, 305, 895, 543, 18471, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 602, 519, 26484, 1858, 540, 519, 12931, 22511, 568, 3160, 547, 519, 1858, 540, 519, 6418, 5858, 780, 3674, 30801, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 3682, 557, 602, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 277, 814, 519, 1482, 1858, 607, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 279, 269, 4855, 824, 8424, 540, 1875, 2275, 784, 745, 550, 568, 30801, 12730, 799, 723, 3160, 2127, 780, 294, 31678, 590, 1117, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 4692, 596, 6922, 1047, 519, 2179, 540, 3574, 2877, 547, 1628, 519, 8122, 540, 1250, 4677, 8774, 2496, 306, 655, 328, 30026, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 568, 519, 5223, 540, 519, 1858, 540, 513, 4009, 27485, 538, 513, 12931, 22511, 547, 519, 1858, 540, 519, 4009, 27485, 538, 519, 3003, 5858, 2496, 307, 559, 1154, 10222, 9201, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 1318, 268, 22931, 568, 30801, 6906, 568, 29352, 827, 519, 8998, 1448, 540, 513, 4009, 269, 1548, 666, 596, 2161, 827, 519, 1858, 540, 519, 851, 540, 519, 4009, 4988, 676, 519, 6906, 607, 621, 29226, 2496, 303, 17233, 17671, 10222, 1255, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1692, 1082, 1318, 268, 22931, 12730, 616, 972, 609, 5011, 602, 616, 782, 9981, 1447, 982, 476, 1911, 4559, 2496, 1103, 513, 1975, 514, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 568, 519, 4320, 540, 519, 4396, 4646, 676, 15914, 713, 1318, 2587, 1194, 6906, 827, 519, 30494, 2496, 290, 22511, 13340, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2005, 568, 6654, 602, 649, 666, 3514, 2185, 10580, 540, 8006, 476, 272, 1770, 538, 513, 4009, 540, 2427, 476, 273, 1510, 20718, 269, 1548, 568, 519, 10545, 4009, 883, 799, 649, 666, 3514, 476, 274, 10580, 540, 8006, 476, 272, 1770, 2496, 306, 638, 2130, 519, 17781, 543, 19449, 743, 532, 519, 12384, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2252, 596, 3136, 519, 4806, 267, 666, 596, 3589, 1018, 1142, 540, 519, 1739, 2127, 786, 581, 286, 8347, 547, 2491, 707, 12605, 780, 305, 327, 4861, 639, 538, 25351, 4120, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 12648, 1022, 13551, 13235, 291, 971, 602, 9474, 3436, 7460, 269, 634, 1448, 623, 568, 593, 9474, 543, 1627, 568, 593, 7131, 269, 8058, 602, 972, 568, 4010, 835, 2990, 540, 623, 543, 1627, 971, 602, 6673, 290, 304, 568, 513, 32077, 639, 780, 301, 823, 569, 5381, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2252, 519, 30494, 630, 19668, 264, 3259, 568, 476, 1911, 9492, 543, 952, 606, 3063, 1899, 10943, 1080, 519, 3490, 883, 476, 3607, 9492, 543, 476, 5038, 9492, 2694, 267, 1018, 941, 519, 2427, 13080, 585, 519, 3312, 1318, 268, 22931, 6906, 2496, 16248, 9050, 12866, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 10521, 10859, 2275, 597, 3380, 630, 26421, 540, 8953, 476, 272, 270, 273, 264, 5905, 1142, 824, 267, 543, 513, 10859, 2275, 22511, 540, 8953, 476, 272, 18953, 1312, 540, 873, 269, 4855, 519, 8953, 540, 519, 5858, 799, 18953, 782, 1614, 10859, 2275, 597, 3380, 780, 306, 13645, 623, 1122, 338, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 7617, 568, 513, 1732, 3514, 267, 513, 4009, 890, 326, 538, 513, 5180, 8559, 610, 513, 5180, 890, 326, 538, 513, 4009, 8559, 2496, 306, 638, 268, 732, 553, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 16248, 10945, 616, 6537, 593, 519, 5011, 540, 513, 6906, 13235, 269, 4256, 2127, 616, 6606, 476, 1240, 476, 1822, 267, 476, 736, 476, 1822, 543, 476, 2918, 476, 1822, 4009, 1298, 22015, 637, 269, 1403, 519, 9018, 14622, 540, 519, 10945, 616, 8678, 267, 1614, 811, 269, 1547, 1547, 16317, 303, 17233, 23768, 692, 21848, 476, 278, 547, 476, 1691, 692, 303, 17233, 23768, 540, 6341, 657, 729, 513, 5259, 14544, 945, 5030, 689, 827, 476, 276, 3199, 7460, 547, 827, 476, 4335, 7460, 269, 4855, 856, 827, 519, 1271, 7835, 646, 1500, 538, 6128, 267, 17651, 267, 543, 519, 3069, 540, 2575, 780, 293, 5979, 1819, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 6989, 568, 4988, 676, 513, 512, 525, 8688, 566, 540, 31164, 12730, 267, 1142, 2348, 1614, 3160, 9095, 338, 3330, 621, 269, 1548, 8167, 540, 519, 1858, 540, 519, 512, 525, 8688, 566, 568, 26484, 2496, 30537, 996, 698, 23768, 262, 14497, 692, 21848, 476, 278, 547, 476, 1691, 692, 30537, 996, 698, 23768, 267, 19456, 23768, 262, 23013, 630, 256, 1070, 729, 23279, 540, 19456, 23768, 543, 3357, 909, 609, 1010, 1378, 11532, 269, 3367, 713, 2376, 547, 1265, 856, 1946, 824, 22697, 561, 13774, 1117, 693, 1864, 780, 30252, 717, 5074, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 8340, 519, 5223, 540, 519, 9018, 26484, 1858, 547, 519, 6418, 1858, 585, 513, 3670, 11329, 5182, 543, 606, 5216, 11329, 5182, 780, 5472, 570, 1221, 5455, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 26781, 8255, 1472, 513, 4216, 865, 602, 621, 2306, 513, 2347, 8520, 609, 1079, 6252, 4773, 540, 26781, 593, 519, 1283, 269, 1215, 1279, 786, 519, 26781, 581, 2496, 16248, 10699, 525, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 960, 856, 519, 7516, 540, 519, 1614, 18695, 2496, 293, 9231, 769, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 763, 4102, 4009, 799, 13352, 883, 513, 5858, 568, 13235, 291, 543, 31246, 21203, 568, 513, 4009, 609, 717, 543, 670, 593, 519, 1899, 7131, 543, 661, 543, 674, 593, 519, 18592, 540, 519, 5858, 269, 8058, 602, 9474, 815, 476, 276, 9128, 269, 6684, 519, 4102, 269, 1547, 1547, 16317, 763, 30064, 543, 519, 26850, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 17178, 568, 9361, 538, 519, 1647, 540, 835, 540, 519, 10545 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1315, 286, 330, 337, 11631, 6390, 286, 32551, 5177, 2296, 1315, 286, 330, 337, 286, 6390, 286, 270, 1070, 2537, 568, 519, 2034, 4102, 543, 835, 540, 519, 9510, 4872, 538, 12996, 269, 32163, 730, 593, 519, 966, 626, 3121, 5211, 630, 21691, 880, 281, 12598, 22119, 320, 264, 538, 519, 10815, 518, 12996, 3148, 267, 519, 2749, 7389, 1394, 547, 519, 476, 278, 628, 2540, 269, 275, 918, 21531, 6759, 342, 814, 12926, 1044, 835, 540, 519, 3056, 18013, 540, 14470, 4081, 267, 2686, 267, 543, 7499, 1272, 543, 568, 835, 540, 12996, 781, 1034, 1271, 2804, 32387, 269, 898, 729, 519, 3854, 540, 519, 22477, 540, 519, 8003, 540, 12996, 689, 476, 9818, 279, 547, 476, 14444, 280, 282, 519, 14470, 286, 299, 603, 10224, 1014, 20448, 689, 476, 14444, 280, 547, 476, 14689, 277, 282, 276, 519, 5131, 4975, 540, 918, 21531, 6759, 342, 689, 476, 8687, 276, 547, 476, 7277, 277, 282, 519, 9835, 667, 1276, 344, 540, 595, 2350, 578, 689, 476, 7277, 277, 547, 476, 4489, 279, 282, 543, 918, 21531, 6759, 342, 27215, 643, 3941, 1222, 689, 519, 476, 1691, 628, 2540, 547, 476, 1960, 279, 269, 898, 814, 1044, 519, 3854, 540, 10815, 518, 12996, 27215, 643, 3941, 1222, 2094, 476, 1960, 280, 563, 763, 2749, 814, 6738, 689, 513, 12942, 6520, 11175, 547, 12996, 781, 2034, 1034, 1271, 2749, 269, 898, 3459, 607, 513, 18296, 593, 654, 1177, 601, 10830, 543, 729, 2907, 1373, 4080, 607, 513, 11112, 9467, 8998, 540, 23577, 4577, 2342, 538, 476, 280, 4792, 269, 275, 2060, 519, 10661, 540, 1007, 9945, 543, 2686, 28503, 693, 519, 11944, 540, 519, 5822, 14470, 6243, 538, 476, 4489, 279, 543, 2429, 519, 476, 736, 628, 2540, 267, 918, 21531, 6759, 342, 556, 3530, 3305, 539, 922, 1909, 607, 513, 2101, 3084, 4081, 543, 7499, 8998, 563, 26903, 538, 12996, 454, 1103, 12996, 267, 649, 1265, 513, 2603, 540, 4609, 602, 616, 10694, 689, 519, 2825, 1448, 540, 2070, 269, 24511, 267, 538, 1142, 11662, 649, 666, 1265, 1100, 1966, 3148, 267, 799, 568, 4502, 513, 3643, 1175, 585, 602, 2601, 269, 15742, 569, 519, 1034, 10694, 538, 2474, 540, 2067, 4025, 267, 543, 849, 519, 1034, 4749, 6074, 676, 14666, 4525, 616, 10239, 269, 634, 5207, 10239, 538, 14470, 568, 513, 1747, 1141, 596, 666, 2731, 6001, 267, 543, 676, 519, 1259, 849, 547, 1451, 827, 519, 2199, 7320, 269, 2986, 1576, 267, 12996, 568, 4502, 513, 3643, 849, 538, 824, 14470, 4525, 281, 8037, 267, 585, 1383, 645, 658, 578, 773, 5633, 11206, 543, 21746, 269, 634, 4262, 849, 1265, 2189, 2067, 4525, 602, 616, 4502, 7487, 563, 763, 1034, 10694, 29990, 4525, 14470, 454, 3849, 4784, 569, 267, 519, 10923, 14470, 1500, 602, 713, 568, 2731, 513, 1360, 10694, 15805, 10278, 269, 769, 519, 2013, 540, 7823, 9832, 649, 666, 7747, 1934, 513, 2603, 540, 1360, 1114, 6173, 725, 269, 901, 568, 17216, 513, 5458, 10697, 269, 15742, 569, 835, 540, 519, 1034, 10272, 7823, 9832, 538, 12996, 568, 519, 570, 520, 6652, 269, 634, 5207, 10239, 538, 12996, 15673, 721, 711, 1152, 5863, 5784, 267, 855, 1657, 782, 2189, 2470, 269, 4746, 4502, 513, 3643, 538, 519, 645, 625, 345, 322, 345, 8014, 15142, 543, 519, 26449, 269, 769, 12996, 267, 649, 1265, 1082, 824, 7823, 9832, 267, 782, 540, 799, 616, 17709, 540, 3007, 267, 585, 1383, 267, 519, 10513, 9061, 15142, 543, 7305, 15142, 269, 674, 753, 540, 1164, 268, 5306, 3363, 15143, 616, 4061, 538, 12996, 1082, 7399, 585, 707, 16314, 269, 0, 298, 26234, 17795, 4016, 547, 8840, 610, 25305, 540, 1022, 540, 519, 2694, 540, 5642, 3238, 538, 519, 4745, 3294, 269, 634, 7633, 540, 12597, 1331, 1273, 7578, 267, 3185, 584, 267, 4017, 3121, 543, 512, 28992, 563, 290, 1021, 281, 22484, 10758, 1286, 10913, 10758, 5026, 2238, 10758, 1463, 5734, 547, 519, 12597, 563, 21618, 281, 10266, 267, 11926, 267, 22775, 640, 267, 20015, 2358, 543, 31926, 540, 519, 4745, 267, 17418, 547, 2322, 2597, 593, 519, 1850, 267, 8373, 19755, 543, 3001, 519, 12597, 2059, 609, 22775, 640, 543, 1989, 908, 4743, 689, 519, 4745, 563, 12812, 1934, 585, 12597, 17795, 5574, 269, 0, 4131, 779, 1404, 2262, 7681, 269, 1879, 596, 5873, 519, 2262, 968, 325, 2426, 639, 2223, 1018, 798, 596, 1589, 540, 286, 631, 2313, 3336, 16741, 286, 2334, 942, 596, 1185, 19002, 779, 3723, 286, 1403, 649, 5129, 713, 3014, 609, 513, 3037, 10196, 267, 646, 1131, 4440, 12837, 267, 1317, 547, 1864, 267, 519, 2262, 968, 325, 2426, 639, 892, 1797, 2635, 267, 3039, 267, 3395, 2371, 563, 2005, 779, 513, 1880, 1362, 540, 13271, 646, 8910, 581, 3206, 540, 267, 1572, 1250, 14585, 9071, 714, 2801, 267, 689, 519, 5259, 2262, 2495, 968, 325, 2426, 639, 270, 23085, 6100, 968, 7069, 14585, 9071, 714, 531, 17343, 568, 519, 1034, 1271, 11248, 1336, 538, 3037, 267, 543, 621, 779, 1044, 972, 585, 7366, 540, 6634, 540, 1296, 2223, 1767, 570, 1370, 670, 1066, 334, 267, 8225, 6455, 9614, 585, 10566, 289, 270, 19723, 11276, 565, 267, 513, 28025, 24804, 13564, 10706, 540, 661, 12509, 6944, 1503, 7922, 1678, 564, 2593, 267, 5549, 1421, 2212, 32483, 1229, 538, 5211, 2023, 267, 31671, 20899, 267, 4516, 563, 8072, 293, 2426, 639, 685, 568, 711, 1175, 1776, 2262, 585, 13226, 269, 968, 293, 23459, 9088, 616, 5567, 267, 899, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1070, 519, 715, 6261, 11860, 1297, 593, 519, 9126, 2223, 1767, 7917, 3026, 573, 1069, 9807, 267, 12854, 267, 8689, 267, 3037, 543, 2030, 2257, 693, 4591, 1146, 1460, 267, 513, 3037, 17203, 10672, 1759, 538, 3794, 523, 24759, 267, 12425, 563, 10527, 715, 267, 623, 543, 918, 616, 519, 16931, 3114, 2609, 602, 616, 1031, 547, 1332, 2371, 282, 2371, 3112, 1332, 1510, 873, 3034, 28490, 596, 4076, 3893, 4057, 3037, 609, 1360, 2370, 9436, 610, 1022, 824, 5567, 538, 621, 267, 543, 1100, 1250, 14585, 9071, 714, 2801, 543, 4551, 2901, 267, 596, 723, 547, 4137, 856, 513, 1259, 547, 1039, 873, 1394, 538, 267, 610, 707, 2371, 1175, 4465, 1406, 798, 1360, 1134, 2223, 1767, 667, 12447, 29430, 267, 8227, 543, 16628, 540, 29430, 10281, 668, 592, 577, 543, 1530, 5338, 267, 20941, 267, 654, 2643, 773, 267, 7147, 269, 968, 5445, 1522, 1332, 267, 855, 789, 3580, 1413, 7210, 3034, 2108, 7069, 14585, 9071, 714, 2801, 543, 4551, 957, 607, 22763, 585, 519, 3037, 2223, 3026, 573, 1069, 9807, 3081, 269, 968, 5445, 2461, 14471, 602, 2291, 538, 7681, 609, 2371, 543, 948, 873, 1599, 267, 16116, 909, 5567, 543, 7509, 585, 873, 269, 1358, 5749, 1406, 18168, 267, 607, 789, 5749, 1406, 6464, 282, 789, 2461, 4890, 267, 2713, 7103, 1848, 769, 824, 1913, 267, 1250, 14585, 9071, 714, 2801, 957, 607, 968, 293, 23459, 6500, 6435, 619, 2223, 8744, 519, 5567, 538, 519, 13226, 1318, 547, 519, 2371, 685, 5072, 563, 7069, 14585, 9071, 714, 531, 13271, 568, 1100, 3774, 17810, 282, 621, 4991, 1472, 267, 9591, 513, 1623, 25027, 2078, 609, 519, 5072, 540, 1175, 827, 1169, 2030, 593, 3047, 267, 1519, 21823, 267, 9274, 267, 5810, 543, 4054, 563, 2467, 616, 1079, 1292, 6688, 540, 1250, 14585, 9071, 714, 2801, 281, 1439, 3912, 14585, 9071, 714, 2801, 543, 28341, 3912, 14585, 9071, 714, 2801, 269, 898, 779, 5363, 547, 3314, 602, 519, 18772, 968, 754, 334, 892, 1797, 3330, 267, 543, 968, 624, 334, 892, 1797, 3544, 563, 10527, 1439, 3912, 14585, 9071, 714, 2801, 12777, 8936, 2933, 547, 519, 5072, 267, 23309, 1591, 6821, 267, 543, 1831, 835, 609, 519, 5072, 2223, 1767, 3026, 573, 1069, 9807, 269, 968, 763, 28341, 3912, 14585, 9071, 714, 2801, 1175, 2186, 540, 2482, 909, 1985, 547, 519, 5072, 267, 4947, 883, 1360, 2673, 16133, 267, 855, 1810, 1406, 8936, 2933, 3034, 8170, 519, 1079, 5716, 267, 1439, 3912, 14585, 9071, 714, 2801, 568, 676, 2484, 519, 1034, 2442, 269, 968, 7343, 6918, 2954, 476, 3199, 547, 476, 3445, 2600, 540, 782, 2371, 538, 519, 1158, 1106, 1623, 25027, 3347, 609, 621, 2223, 1767, 670, 1066, 334, 269, 1452, 1331, 513, 2647, 3099, 540, 3039, 267, 21364, 2371, 543, 16916, 21823, 267, 607, 1134, 607, 1082, 3819, 1633, 267, 26868, 267, 12748, 543, 18009, 4115, 2249, 267, 1818, 1439, 3912, 14585, 9071, 714, 2801, 4105, 547, 1312, 8511, 25210, 543, 519, 11761, 543, 11159, 1852, 2872, 563, 295, 1066, 334, 4797, 267, 968, 292, 551, 3912, 14585, 9071, 714, 2801, 267, 593, 519, 824, 1688, 267, 3029, 1623, 25027, 3347, 609, 1152, 827, 2947, 2600, 540, 782, 519, 2371, 538, 519, 1158, 269, 1452, 616, 5631, 3529, 2249, 267, 1519, 12566, 267, 838, 16078, 267, 535, 597, 267, 543, 2182, 6229, 338, 971, 607, 18073, 543, 2840, 577, 267, 1818, 713, 7121, 540, 1250, 14585, 9071, 714, 2801, 4105, 547, 519, 26216, 2872, 269, 2368, 20749, 1271, 2030, 2249, 849, 4324, 689, 3095, 720, 609, 28341, 3912, 14585, 9071, 714, 2801, 3034, 5522, 1218, 991, 1614, 1919, 547, 7639, 281, 7943, 267, 1216, 543, 5567, 269, 3733, 14585, 9071, 714, 2801, 3252, 607, 513, 6765, 1062, 585, 519, 8545, 1079, 269, 634, 2371, 543, 519, 13271, 960, 1927, 607, 513, 2582, 267, 8647, 1770, 269, 968, 763, 2371, 1685, 15591, 1657, 519, 2666, 267, 1247, 519, 1250, 14585, 9071, 714, 2801, 3935, 1125, 519, 5072, 2630, 519, 2666, 2223, 670, 1066, 334, 1767, 269, 968, 5445, 6494, 741, 6263, 2083, 14613, 2484, 856, 883, 519, 3037, 2223, 1134, 3564, 519, 5072, 789, 4076, 32519, 563, 5278, 1623, 25027, 3347, 538, 2470, 4324, 835, 540, 519, 7649, 2249, 1454, 811, 982, 519, 824, 835, 269, 1809, 519, 2030, 2173, 344, 14585, 9071, 714, 531, 13271, 1606, 2096, 6798, 2670, 568, 606, 3160, 9769, 602, 1312, 5011, 4324, 689, 7494, 563, 2026, 519, 2083, 14613, 1332, 543, 12701, 856, 267, 789, 13789, 899, 4108, 11028, 18590, 2695, 6758, 267, 10647, 30908, 19707, 585, 1216, 543, 5567, 936, 513, 1804, 11895, 1858, 269, 4495, 519, 1216, 543, 5567, 616, 1336, 267, 519, 2083, 14613, 3560, 873, 2047, 1394, 547, 519, 5072, 540, 519, 2371, 269, 769, 2132, 267, 519, 2371, 267, 998, 15591, 267, 8007, 519, 1250, 14585, 9071, 714, 2801, 609, 519, 7280, 621, 2115, 547, 8853, 563, 2690, 2371, 267, 519, 2101, 5413, 540, 713, 2078, 568, 606, 8476, 3761, 540, 2139, 5567, 267, 1519, 3327, 267, 11379, 267, 16903, 543, 9436, 269, 1358, 849, 1205, 513, 5488, 19718, 540, 6886, 971, 607, 7513, 267, 7601, 267, 4401, 543, 13058, 267, 543, 538, 3152, 5666, 267, 982, 1131, 7363, 723, 1044, 2139, 547, 741, 5072, 563, 10527, 4527, 540, 1250, 14585, 9071, 714, 2801, 849, 3947, 2371, 606, 2799, 10892, 547, 8801, 3037, 2175, 2223, 1767, 670, 1066, 334, 269, 968, 763, 2371, 666, 3136, 547, 1332, 543, 798, 1454, 1732, 982, 789, 1131, 1510, 519, 13271, 779, 948, 267, 1256, 538, 28811, 267, 8770, 12413, 17087, 11934, 267, 610, 11934, 609, 2539, 31032, 268, 728, 531, 9063, 543, 2362, 31032, 268, 728, 531, 3037, 5210, 269, 12518, 723, 1732, 3597, 5250, 267, 7864, 3597, 3676, 543, 3037, 1790, 652, 2042, 543, 2154, 1447, 13226, 950, 1250, 14585, 9071, 714, 2801, 616, 1472, 3034, 5445, 849, 991, 1447, 1216, 269, 634, 2083, 14613, 519, 13271, 15920, 856, 723, 519, 2702, 547, 1491, 909, 7509, 689, 1454, 4514, 538, 519, 3037, 267, 3564, 519, 3914, 540, 519, 2030, 779, 5072, 269, 634, 13271, 3294, 3085, 1406, 991, 1454, 1216, 267, 855, 922, 2083, 14613, 786, 3136, 5275, 621, 585, 519, 19160, 540, 519, 2371, 267, 7175, 873, 547, 7639, 538, 3871, 602, 1131, 6382, 6146, 873, 563, 763, 2083, 14613, 723, 1776, 1271, 1599, 267, 3226, 2565, 538, 11761, 20820, 3156, 269, 6056, 540, 873, 607, 5215, 540, 6263, 11263, 8066, 519, 3037, 5536, 1927, 267, 3976, 4227, 519, 1761, 585, 2417, 11761, 563, 7069, 14585, 9071, 714, 2801, 616, 1256, 811, 4105, 950, 8652, 572, 5338, 936, 9553, 2766, 902, 610, 824, 5449, 4853, 4609, 269, 968, 22746, 4238, 1419, 4734, 3297, 2244, 13572, 609, 1164, 2157, 540, 5230, 8407, 267, 1519, 19695, 267, 13058, 267, 1291, 267, 11956, 267, 4401, 543, 20017, 26606, 2223, 1767, 670, 1066, 334, 269, 968, 4322, 5230, 8407, 949, 1860, 3037, 9063, 607, 1134, 607, 8770, 15203, 543, 10688, 3034, 2026, 513, 1267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3451, 269, 9612, 538, 5616, 10104, 454, 10711, 269, 645, 269, 700, 3326, 267, 808, 269, 918, 1716, 267, 654, 269, 15223, 10152, 267, 589, 269, 2098, 1735, 328, 267, 808, 269, 645, 625, 328, 611, 6390, 267, 7186, 476, 275, 4343, 630, 1220, 276, 264, 476, 10441, 271, 269, 9612, 538, 5616, 10104, 454, 14225, 269, 808, 269, 918, 1716, 267, 681, 269, 932, 2660, 329, 2465, 267, 594, 269, 667, 269, 8479, 267, 674, 269, 667, 269, 9509, 518, 267, 700, 269, 700, 817, 4150, 267, 631, 269, 594, 3630, 29538, 267, 590, 269, 717, 592, 267, 570, 269, 2605, 753, 5459, 267, 589, 269, 590, 269, 30179, 3122, 267, 681, 269, 1325, 517, 810, 2173, 9461, 267, 681, 269, 26036, 572, 514, 267, 631, 269, 18681, 267, 700, 269, 667, 1926, 527, 267, 595, 269, 667, 269, 700, 747, 1084, 6199, 267, 631, 269, 670, 269, 4258, 1695, 267, 667, 269, 2701, 767, 320, 267, 808, 269, 654, 619, 580, 267, 594, 269, 1530, 340, 1068, 267, 667, 269, 590, 758, 31730, 267, 661, 269, 12815, 528, 267, 595, 269, 654, 2287, 518, 267, 570, 269, 918, 2651, 267, 681, 269, 717, 269, 23683, 267, 623, 269, 2353, 518, 267, 589, 269, 1809, 787, 333, 267, 589, 269, 631, 269, 2107, 6807, 267, 631, 269, 9149, 836, 267, 808, 269, 631, 269, 4591, 2023, 267, 589, 269, 15506, 344, 4157, 267, 808, 269, 661, 269, 918, 690, 4802, 267, 590, 269, 2961, 321, 26953, 267, 590, 269, 645, 719, 564, 267, 654, 269, 715, 580, 601, 267, 670, 269, 667, 984, 31990, 267, 623, 269, 667, 269, 17566, 267, 772, 269, 19161, 10458, 267, 715, 269, 918, 269, 590, 2246, 518, 267, 589, 269, 2098, 1735, 328, 267, 808, 269, 11619, 5424, 267, 808, 269, 962, 8457, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 7186, 476, 6321, 274, 630, 1001, 279, 264, 476, 275, 2641, 269, 9612, 538, 5616, 10104, 454, 13078, 269, 670, 269, 645, 7776, 267, 681, 269, 700, 269, 22210, 777, 267, 13571, 269, 7233, 2233, 269, 476, 278, 630, 1001, 277, 264, 476, 276, 4281, 269, 9612, 538, 5616, 10104, 454, 18684, 269, 808, 269, 11619, 5424, 267, 808, 269, 670, 269, 7605, 1076, 324, 267, 772, 269, 19161, 10458, 267, 595, 269, 22513, 663, 14162, 267, 623, 269, 3794, 28739, 601, 267, 670, 269, 966, 1170, 518, 267, 681, 269, 631, 269, 28037, 1723, 267, 918, 269, 700, 269, 5062, 325, 22611, 2033, 267, 661, 269, 13852, 659, 577, 1470, 267, 590, 269, 589, 269, 623, 714, 541, 549, 267, 590, 269, 623, 269, 15434, 1067, 267, 918, 269, 590, 21516, 267, 631, 269, 623, 269, 21890, 514, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 700, 269, 20588, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 11277, 630, 1220, 272, 264, 476, 278, 3199, 275, 269, 9612, 538, 5616, 10104, 454, 21709, 269, 631, 269, 590, 32256, 267, 674, 269, 13019, 7534, 267, 631, 269, 590, 1872, 1695, 4673, 267, 631, 269, 918, 889, 334, 267, 962, 269, 26981, 1690, 9874, 267, 570, 269, 26981, 2033, 267, 918, 269, 26232, 1662, 7534, 267, 962, 269, 772, 5443, 320, 267, 631, 269, 26981, 629, 599, 20076, 267, 570, 269, 26232, 2033, 267, 570, 269, 26981, 8457, 267, 631, 269, 30554, 25431, 267, 7186, 476, 276, 6246, 630, 1001, 278, 264, 476, 14530, 269, 9612, 538, 5616, 10104, 454, 21172, 269, 717, 269, 681, 10152, 267, 16071, 2106, 628, 269, 1763, 269, 476, 10844, 630, 1220, 278, 264, 476, 2412, 278, 269, 9612, 538, 5616, 10104, 454, 20385, 269, 570, 269, 589, 269, 10162, 601, 1993, 338, 267, 654, 269, 9149, 836, 267, 631, 269, 808, 269, 4678, 25534, 267, 681, 269, 631, 269, 28037, 1723, 267, 589, 269, 7931, 335, 601, 267, 808, 269, 595, 269, 12448, 338, 267, 918, 269, 590, 21516, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 631, 269, 623, 269, 21890, 514, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 476, 11152, 630, 1960, 277, 264, 476, 18357, 276, 269, 9612, 538, 5616, 10104, 454, 13975, 269, 715, 269, 30532, 267, 631, 269, 4825, 1122, 534, 267, 674, 269, 3026, 3150, 267, 667, 269, 589, 269, 23202, 1794, 529, 267, 589, 269, 645, 748, 338, 659, 267, 654, 269, 700, 889, 6308, 267, 3163, 476, 24833, 630, 1001, 275, 264, 476, 3199, 275, 269, 9612, 538, 5616, 10104, 454, 21076, 269, 670, 269, 667, 879, 267, 623, 269, 17389, 321, 27688, 267, 631, 269, 12794, 30977, 267, 4284, 269, 2480, 337, 269, 570, 12893, 630, 1220, 276, 264, 476, 279, 4510, 269, 9612, 538, 5616, 10104, 454, 18891, 269, 670, 269, 667, 879, 267, 623, 269, 17389, 321, 27688, 267, 631, 269, 12794, 30977, 267, 1323, 531, 269, 12713, 534, 531, 269, 6314, 269, 476, 4391, 277, 630, 1220, 274, 264, 476, 6321, 273, 269, 9612, 538, 5616, 10104, 454, 22659, 269, 623, 269, 17389, 321, 27688, 267, 700, 269, 594, 340, 3960, 565, 3626, 267, 808, 269, 667, 8636, 1067, 267, 631, 269, 3400, 2513, 548, 267, 570, 269, 3026, 529, 3780, 267, 4437, 17190, 476, 4510, 630, 1220, 276, 264, 476, 6245, 275, 269, 9612, 538, 5616, 10104, 454, 20969, 269, 715, 269, 5576, 3578, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 623, 269, 22216, 928, 341, 267, 717, 269, 19161, 326, 1066, 267, 631, 269, 589, 837, 331, 1495, 267, 590, 269, 853, 344, 2590, 267, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 769, 3073, 269, 6314, 269, 476, 6872, 630, 1001, 279, 264, 476, 10441, 2190, 269, 9612, 538, 5616, 10104, 454, 21497, 269, 594, 269, 2098, 1695, 541, 773, 9366, 267, 623, 269, 22216, 928, 341, 267, 717, 269, 19161, 326, 1066, 267, 631, 269, 589, 837, 331, 1495, 267, 590, 269, 853, 344, 2590, 267, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 4437, 17190, 476, 4649, 630, 1001, 277, 264, 476, 275, 866, 278, 269, 9612, 538, 5616, 10104, 454, 21327, 269, 700, 269, 594, 340, 3960, 565, 3626, 267, 808, 269, 667, 8636, 1067, 267, 654, 269, 667, 23152, 1676, 267, 654, 269, 2725, 9807, 11860, 331, 14072, 651, 267, 670, 269, 667, 879, 267, 4437, 17190, 476, 4391, 630, 1960, 279, 264, 476, 14378, 1321, 269, 9612, 538, 5616, 10104, 454, 24241, 269, 631, 269, 3400, 2513, 548, 267, 670, 269, 667, 879, 267, 12713, 577, 574, 269, 4437, 19398, 269, 2920, 320, 476, 10204, 279, 630, 1220, 276, 264, 476, 20385, 269, 9612, 538, 5616, 10104, 454, 25908, 269, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 12713, 577, 574, 269, 4437, 19398, 269, 2920, 320, 476, 12293, 278, 630, 1220, 278, 264, 476, 5325, 273, 269, 9612, 538, 5616, 10104, 454, 25546, 269, 667, 269, 30781, 5451, 548, 345, 6363, 331, 2803, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 22216, 928, 341, 267, 590, 269, 10753, 657, 267, 631, 269, 15011, 13758, 328, 267, 595, 269, 17131, 638, 7236, 267, 623, 269, 918, 889, 7578, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 681, 269, 8055, 267, 670, 269, 667, 879, 267, 9815, 269, 6052, 17540, 1564, 476, 273, 630, 1001, 279, 264, 476, 2735, 277, 269, 9612, 538, 5616, 10104, 454, 13136, 269, 631, 269, 20322, 577, 267, 966, 269, 10609, 732, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 700, 269, 717, 7967, 14369, 518, 267, 623, 269, 22216, 928, 341, 267, 670, 269, 667, 879, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 14530, 630, 1220, 280, 264, 476, 7597, 274, 277, 269, 9612, 538, 5616, 10104, 454, 21854, 269, 631, 269, 20322, 577, 267, 918, 269, 918, 1782, 534, 267, 808, 269, 1261, 573, 330, 2086, 267, 667, 269, 661, 327, 1066, 6199, 267, 623, 269, 22216, 928, 341, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 670, 269, 667, 879, 267, 6314, 269, 4004, 269, 476, 5325, 630, 1001, 272, 264, 476, 15686, 1321, 269, 9612, 538, 5616, 10104, 454, 19442, 269, 667, 269, 674, 4471, 10964, 267, 631, 269, 654, 269, 7200, 773, 267, 631, 269, 645, 1690, 323, 747, 267, 918, 269, 661, 269, 5842, 342, 12245, 267, 962, 269, 595, 2967, 267, 589, 269, 631, 269, 29216, 267, 631, 11607, 297, 269, 4258, 978, 267, 667, 269, 590, 758, 31730, 267, 570, 11607, 290, 269, 654, 1263, 267, 681, 269, 1325, 517, 810, 5336, 9461, 267, 681, 269, 595, 269, 16026, 267, 808, 269, 681, 269, 645, 1173, 541, 267, 808, 269, 918, 269, 715, 21417, 3464, 28325, 267, 589, 269, 715, 559, 26856, 267, 589, 269, 570, 269, 13852, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 15389, 630, 1001, 276, 264, 476, 9873, 276, 269, 9612, 538, 5616, 10104, 454, 23417, 269, 631, 269, 717, 23152, 4802, 267, 623, 269, 22216, 928, 341, 267, 623, 269, 623, 659, 328, 758, 267, 595, 11607, 310, 269, 12872, 267, 808, 269, 674, 269, 667, 269, 19966, 340, 14765, 267, 570, 269, 1234, 1512, 267, 631, 269, 670, 1122, 2102, 267, 681, 269, 14480, 514, 5174, 1251, 22603, 267, 623, 269, 5899, 817, 518, 267, 670, 269, 667, 879, 267, 6314, 269, 4004, 269, 476, 4649, 630, 1001, 280, 264, 476, 279, 1240, 269, 9612, 538, 5616, 10104, 454, 23470, 269, 681, 269, 667, 269, 700, 269, 8055, 267, 595, 269, 17131, 638, 7236, 267, 590, 269, 10753, 657, 267, 623, 269, 22216, 928, 341, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 918, 889, 7578, 267, 681, 269, 15011, 13758, 328, 267, 667, 269, 22167, 5633, 267, 6052, 30287, 269, 2233, 269, 476, 1556, 630, 1001, 279, 264, 476, 26316, 277, 269, 9612, 538, 5616, 10104, 454, 18597, 269, 681, 269, 667, 269, 700, 269, 8055, 267, 595, 269, 17131, 638, 7236, 267, 590, 269, 10753, 657, 267, 623, 269, 22216, 928, 341, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 918, 889, 7578, 267, 631, 269, 681, 269, 15011, 13758, 328, 267, 667, 269, 30781, 5451, 548, 345, 6363, 331, 2803, 267, 670, 269, 667, 879, 267, 14844, 269, 4004, 269, 476, 279, 630, 1001, 278, 264, 476, 1708, 273, 269, 9612, 538, 5616, 10104, 454, 26297, 269, 623, 269, 681, 553, 12011, 1695, 267, 589, 269, 595, 269, 595, 269, 570, 572, 2426, 267, 808, 269, 5082, 10635, 1335, 269, 17502, 269, 476, 14530, 630, 2735, 275, 264, 476, 3199, 274, 269, 9612, 538, 5616, 10104, 454, 25375, 269, 808, 269, 661, 269, 13535, 515, 5674, 267, 661, 269, 589, 269, 3223, 3438, 267, 681, 269, 700, 269, 3223, 3438, 267, 1323, 6716, 27528, 6314, 773, 267, 476, 275, 628, 1196, 1421, 1546, 294, 745, 344, 614, 267, 12670, 630, 1001, 273, 1040, 9612, 538, 5616, 10104, 454, 25248, 269, 681, 269, 13879, 267, 538, 281, 16610, 543, 17738, 538, 12713, 514, 16955, 11061, 267, 476, 272, 560, 1196, 1421, 670, 11607, 289, 269, 26689, 28739, 267, 715, 269, 5450, 345, 2401, 9539, 565, 974, 630, 32295, 12175, 25067, 13305, 6224, 267, 1284, 514, 8583, 630, 1220, 277, 1040, 9612, 538, 5616, 10104, 454, 15100, 1708, 271, 1530, 30807, 1014, 674, 773, 577, 614, 267, 4591, 3455, 667, 879, 267, 10218, 27956, 345, 1696, 620, 1421, 3370, 676, 1546, 30421, 344, 614, 267, 12670, 20324, 10667, 454, 1607, 960, 568, 13931, 896, 519, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 269, 0, 17098, 256, 7490, 4734, 721, 707, 5048, 610, 1289, 721, 693, 476, 4905, 269, 8517, 269, 11277, 269, 27174, 454, 14188, 596, 256, 2659, 19169, 814, 1044, 4607, 2336, 302, 3591, 256, 23985, 4682, 4636, 1247, 26446, 519, 1106, 454, 1432, 1284, 4076, 3231, 2740, 6168, 12096, 26508, 13255, 1924, 10787, 454, 5472, 827, 2887, 26508, 3560, 543, 922, 2956, 538, 519, 4775, 10285, 1062, 563, 20826, 476, 273, 267, 476, 1708, 272, 454, 2252, 4064, 616, 519, 6885, 547, 519, 9997, 267, 1287, 2887, 26508, 13740, 616, 519, 4155, 3118, 547, 1272, 269, 2060, 971, 606, 1271, 1909, 538, 519, 1560, 267, 2887, 26508, 13740, 616, 519, 1883, 547, 12093, 267, 607, 789, 3560, 6992, 1242, 5798, 547, 519, 19786, 547, 15498, 543, 1020, 269, 21298, 267, 811, 543, 811, 1382, 814, 1044, 3370, 827, 519, 1909, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 338, 267, 543, 1567, 619, 269, 2913, 781, 2736, 1524, 1018, 1142, 851, 1281, 1384, 272, 269, 21642, 619, 281, 1452, 616, 15497, 7028, 602, 2196, 2059, 1312, 5011, 540, 519, 25047, 3118, 269, 1358, 3180, 909, 519, 3268, 543, 2285, 873, 6617, 269, 6056, 540, 873, 899, 519, 22403, 540, 519, 25047, 13826, 563, 273, 269, 570, 1348, 338, 281, 901, 568, 519, 8880, 2627, 1141, 1004, 1900, 950, 2469, 909, 610, 1524, 519, 24383, 269, 898, 2115, 547, 581, 2647, 2614, 585, 6899, 6972, 543, 1500, 689, 2178, 2326, 602, 4465, 1405, 11523, 896, 2604, 563, 274, 269, 20322, 619, 281, 1452, 616, 519, 7299, 4773, 1063, 1142, 1900, 269, 2755, 930, 2413, 6272, 18178, 1210, 1567, 619, 585, 12716, 4128, 267, 789, 2965, 1404, 513, 2629, 1909, 538, 4180, 3106, 676, 7303, 1507, 3615, 689, 9991, 998, 519, 10616, 543, 3246, 3063, 1489, 585, 3755, 16246, 519, 24383, 780, 6524, 4358, 4070, 267, 2268, 519, 4463, 1063, 19683, 610, 5867, 543, 7941, 621, 676, 519, 5551, 1297, 540, 3268, 269, 901, 9819, 786, 948, 3313, 519, 4473, 630, 19417, 264, 540, 1142, 1367, 1900, 269, 589, 1434, 2489, 23988, 568, 547, 2832, 585, 513, 6899, 1900, 4473, 1063, 476, 277, 547, 476, 279, 6279, 7381, 269, 4495, 596, 917, 519, 4473, 267, 5173, 519, 2698, 2196, 630, 26319, 264, 540, 519, 25047, 13826, 676, 14921, 519, 1297, 540, 3268, 676, 741, 8700, 630, 20200, 1227, 1472, 476, 1015, 6279, 6393, 9202, 267, 2759, 519, 5569, 619, 2687, 547, 1346, 7403, 269, 4460, 519, 3169, 6753, 585, 1169, 1900, 593, 519, 1193, 5424, 4604, 543, 946, 513, 9764, 4718, 547, 5402, 2759, 2059, 519, 3515, 269, 2142, 2386, 547, 4734, 513, 2370, 3063, 1570, 693, 519, 1283, 543, 5377, 540, 519, 5569, 619, 585, 1140, 2286, 873, 18172, 547, 519, 2666, 543, 5580, 3760, 780, 5629, 519, 5569, 619, 616, 4712, 267, 2990, 873, 1996, 519, 3774, 610, 5885, 2497, 543, 1665, 1141, 519, 3675, 1235, 991, 547, 979, 269, 12305, 17527, 1063, 801, 338, 585, 3773, 4222, 267, 1287, 8936, 519, 5569, 619, 1210, 25336, 610, 18848, 31211, 269, 17677, 2638, 602, 789, 2811, 1377, 543, 726, 3518, 1354, 17516, 873, 4625, 780, 4415, 519, 5569, 619, 8704, 267, 621, 781, 942, 547, 1847, 593, 547, 16459, 519, 25500, 338, 543, 1567, 619, 269, 12338, 1142, 4062, 547, 2450, 1759, 593, 707, 4505, 9273, 267, 1818, 2386, 789, 3514, 2879, 1872, 569, 1369, 519, 5569, 619, 269, 5900, 778, 519, 25500, 338, 1101, 267, 4553, 676, 519, 1567, 619, 269, 2422, 18969, 610, 25336, 547, 3728, 523, 873, 18172, 538, 1747, 780, 4517, 21350, 10042, 256, 2060, 6297, 6482, 267, 5969, 267, 543, 10198, 267, 596, 1631, 723, 513, 6198, 25047, 13826, 3710, 7357, 689, 15072, 269, 2986, 1576, 267, 1832, 538, 2247, 602, 811, 1950, 6272, 949, 2154, 3606, 15790, 18782, 1983, 543, 2645, 267, 855, 13215, 519, 9238, 568, 513, 1390, 1376, 2509, 4742, 513, 8746, 798, 32717, 3917, 712, 1345, 518, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21652, 344, 2006, 853, 26325, 10430, 630, 293, 298, 278, 2567, 1879, 972, 616, 5826, 610, 6454, 6009, 602, 2154, 3007, 538, 707, 1753, 610, 3959, 538, 853, 26325, 267, 607, 513, 7622, 518, 621, 666, 581, 2182, 547, 4137, 856, 4010, 945, 547, 8258, 269, 15531, 2576, 945, 568, 22973, 568, 707, 6305, 6662, 267, 543, 2348, 547, 3142, 538, 4123, 1808, 13492, 5443, 949, 1831, 7199, 543, 2352, 269, 594, 1589, 602, 519, 1034, 6225, 16185, 1223, 581, 547, 1289, 593, 835, 1268, 945, 1223, 10994, 513, 2603, 540, 891, 6009, 585, 596, 563, 4462, 16225, 532, 606, 1367, 609, 513, 2039, 540, 1983, 786, 581, 1655, 538, 891, 7653, 543, 835, 945, 568, 5356, 513, 13561, 2006, 1826, 3028, 1223, 581, 519, 2626, 269, 11109, 519, 1995, 547, 2347, 606, 5044, 540, 6009, 267, 568, 513, 3364, 602, 606, 9237, 853, 26325, 13561, 2006, 1058, 711, 3668, 269, 2659, 3804, 786, 581, 547, 10625, 513, 13561, 2006, 610, 9642, 2816, 812, 945, 596, 3513, 581, 2111, 547, 1289, 593, 942, 543, 942, 1586, 563, 2791, 1058, 2705, 7703, 538, 2247, 602, 972, 616, 6923, 17756, 547, 713, 4341, 269, 3487, 7781, 6009, 616, 15069, 711, 17501, 585, 513, 13561, 2006, 610, 9642, 2816, 812, 543, 991, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 1515, 13826, 14716, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 1684, 268, 2005, 268, 7312, 1345, 1315, 2961, 335, 18782, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 595, 839, 11208, 543, 15213, 540, 20309, 910, 24935, 5455, 3414, 9085, 543, 9012, 692, 8702, 267, 1762, 3988, 256, 4653, 267, 1577, 781, 4685, 883, 606, 4277, 1888, 1572, 24890, 543, 5191, 540, 4082, 269, 901, 1523, 9388, 609, 1018, 1004, 666, 2161, 610, 2328, 11884, 543, 950, 6608, 610, 3906, 6430, 547, 3970, 621, 269, 1284, 786, 2263, 875, 4589, 267, 20859, 267, 543, 824, 3860, 2043, 2769, 741, 4555, 1247, 7231, 609, 9993, 543, 6302, 780, 5331, 596, 5206, 513, 9735, 1650, 855, 7948, 1405, 2671, 621, 1317, 2576, 2219, 1978, 2694, 1522, 13347, 1866, 269, 2334, 1131, 1745, 15490, 267, 1318, 286, 4270, 267, 5830, 267, 5159, 267, 543, 1065, 13024, 3068, 971, 2591, 3232, 269, 6884, 789, 1590, 1689, 741, 1913, 610, 11247, 1813, 547, 3652, 5921, 547, 2226, 1931, 610, 2149, 6213, 1344, 269, 1717, 267, 891, 7687, 949, 849, 2061, 873, 689, 4687, 1271, 18408, 610, 2189, 5380, 269, 1924, 267, 1141, 798, 649, 2721, 519, 1899, 1063, 3743, 2792, 543, 1863, 1582, 22325, 286, 2913, 781, 1265, 856, 2439, 4131, 781, 1376, 676, 1620, 519, 2474, 1384, 272, 269, 2878, 290, 839, 11208, 4995, 1879, 2576, 610, 1945, 630, 3697, 513, 2229, 610, 3919, 264, 16976, 1018, 1344, 267, 2835, 267, 9413, 267, 1148, 267, 3092, 1421, 3112, 581, 3838, 15597, 269, 1358, 1522, 4894, 1808, 3877, 267, 7333, 1568, 7357, 267, 610, 1256, 19439, 1346, 945, 2736, 519, 3652, 269, 1280, 1383, 267, 930, 2477, 1810, 1405, 1450, 2835, 10404, 1944, 741, 3401, 563, 273, 269, 2878, 26466, 4520, 540, 20309, 4995, 589, 2596, 1480, 1318, 3850, 1004, 547, 5968, 741, 8369, 267, 4978, 267, 543, 2093, 16175, 267, 1210, 1585, 2409, 899, 6340, 267, 1603, 267, 5373, 267, 13465, 267, 3092, 269, 898, 7512, 3309, 16752, 267, 5807, 7279, 543, 1565, 1851, 721, 782, 780, 3086, 602, 649, 1174, 891, 2035, 267, 1934, 616, 1614, 1483, 3734, 7653, 5473, 24890, 543, 5191, 540, 4082, 1384, 1262, 9928, 523, 9222, 476, 272, 281, 25587, 4658, 781, 31981, 12533, 265, 5970, 596, 2479, 4941, 547, 917, 811, 827, 707, 5172, 28245, 286, 2368, 5967, 619, 2307, 12050, 2055, 602, 7866, 4241, 11580, 267, 3006, 4929, 15784, 269, 22177, 7078, 281, 9410, 645, 1662, 597, 26906, 1402, 5182, 7812, 12722, 538, 476, 1220, 274, 269, 4438, 519, 6643, 267, 12722, 15861, 646, 4847, 1453, 547, 3207, 538, 1010, 5127, 267, 799, 17275, 9840, 827, 1126, 3106, 543, 9844, 269, 2755, 1082, 5433, 13943, 7234, 971, 4357, 6927, 267, 1866, 5156, 621, 729, 1898, 547, 3180, 9565, 5515, 18177, 585, 741, 3527, 780, 1262, 9928, 523, 9222, 476, 273, 281, 3203, 2065, 6513, 12533, 265, 9209, 1235, 1616, 547, 1711, 1759, 593, 741, 5075, 543, 5876, 269, 1809, 1018, 952, 8128, 1589, 741, 960, 3568, 5739, 6835, 286, 9701, 4896, 1852, 1018, 789, 3132, 286, 2107, 1058, 15888, 2141, 2972, 2347, 7499, 5191, 286, 1452, 13253, 8451, 1419, 269, 22177, 7078, 281, 7969, 23031, 9986, 643, 1512, 334, 570, 657, 4754, 328, 2813, 1008, 25607, 18537, 585, 7802, 6216, 5484, 564, 2023, 1282, 519, 1412, 3445, 338, 269, 2290, 740, 12286, 513, 562, 684, 543, 17308, 21098, 532, 267, 2587, 1359, 3909, 2516, 5001, 269, 8191, 885, 11130, 602, 519, 3239, 771, 637, 4624, 4984, 267, 1247, 18793, 4718, 621, 607, 8508, 4763, 543, 2648, 780, 1262, 9928, 523, 9222, 476, 274, 281, 11572, 9045, 790, 12533, 265, 25823, 597, 673, 2923, 3096, 9644, 547, 16472, 2797, 2621, 543, 5515, 269, 1635, 533, 3183, 1187, 693, 3978, 2152, 267, 789, 4126, 547, 1217, 9458, 543, 8300, 2318, 2242, 269, 8616, 267, 13915, 8044, 602, 1818, 24668, 827, 3532, 1004, 1223, 1291, 547, 21390, 610, 2800, 1514, 6617, 269, 22177, 7078, 281, 1290, 9037, 6239, 1397, 3162, 5244, 544, 18088, 4457, 6205, 2473, 328, 29883, 4771, 538, 835, 12558, 269, 3624, 15527, 676, 7333, 940, 519, 1982, 543, 14053, 3284, 3098, 269, 4014, 519, 15888, 5185, 9880, 267, 11655, 9976, 741, 29752, 18879, 1996, 24890, 780, 2026, 596, 1224, 3332, 267, 4585, 8874, 267, 6432, 547, 2575, 267, 543, 1246, 3377, 2984, 2429, 707, 1272, 267, 2015, 891, 1883, 2798, 1384, 272, 269, 1215, 1281, 519, 17082, 3666, 741, 5048, 609, 1761, 4539, 888, 273, 269, 3657, 1022, 7182, 5116, 593, 519, 7376, 781, 2702, 547, 6655, 741, 2856, 286, 1403, 865, 267, 1946, 888, 274, 269, 1548, 1764, 1281, 24890, 610, 3668, 23476, 723, 593, 938, 2486, 888, 275, 269, 2052, 596, 2697, 8320, 540, 24890, 1369, 707, 2146, 610, 2197, 888, 276, 269, 14936, 267, 3314, 602, 6998, 9157, 2055, 2337, 3895, 2565, 3206, 543, 1732, 5483, 4961, 269, 5901, 3695, 267, 2542, 267, 543, 8108, 707, 8369, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8310, 1032, 594, 11751, 513, 4015, 540, 2025, 19877, 17476, 269, 634, 1101, 942, 594, 29618, 1930, 519, 1305, 267, 594, 4121, 602, 593, 4873, 476, 1789, 267, 476, 3192, 274, 267, 29871, 2782, 3128, 2893, 1524, 585, 513, 10004, 609, 4936, 2717, 753, 7288, 269, 2782, 3128, 17696, 513, 19997, 543, 2717, 753, 7288, 10288, 513, 14420, 543, 513, 3276, 3455, 269, 769, 519, 12732, 540, 5216, 4627, 3764, 267, 519, 1079, 4988, 13099, 541, 9579, 328, 2528, 267, 25399, 267, 3023, 267, 9882, 267, 12961, 267, 12955, 267, 3388, 269, 594, 4121, 3388, 543, 4986, 693, 2899, 998, 602, 7237, 269, 1656, 602, 3893, 803, 3206, 827, 5967, 13341, 538, 2489, 563, 11328, 1613, 338, 723, 513, 1279, 1686, 267, 540, 1576, 269, 769, 1250, 1378, 10715, 267, 972, 779, 1044, 519, 791, 1190, 18112, 3570, 12096, 659, 328, 15819, 10609, 727, 7236, 593, 519, 31623, 540, 519, 22504, 4838, 267, 610, 519, 4583, 645, 1662, 597, 11042, 609, 7812, 12722, 269, 3619, 1394, 2417, 267, 543, 972, 941, 8751, 16423, 324, 779, 11401, 609, 30227, 2274, 776, 267, 22255, 328, 681, 3971, 523, 560, 22844, 6158, 547, 13609, 269, 3962, 538, 922, 1378, 1259, 814, 1044, 11599, 267, 11214, 21338, 3294, 538, 519, 1857, 2247, 543, 23366, 8744, 1007, 1919, 547, 1769, 563, 1103, 713, 3390, 267, 649, 30603, 519, 5967, 269, 3776, 2824, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 839, 11208, 543, 15213, 540, 20309, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 23527, 1299, 21771, 1315, 15348, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 8004, 3957, 15039, 945, 6068, 4730, 609, 1200, 9162, 269, 2290, 1554, 267, 1352, 1336, 513, 2027, 11058, 602, 6743, 899, 513, 10977, 1698, 855, 1185, 12904, 4947, 856, 540, 621, 269, 4173, 3158, 5143, 1200, 602, 621, 729, 1572, 513, 11020, 4211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 596, 1223, 27229, 6336, 563, 4517, 609, 741, 23376, 267, 596, 666, 1118, 1732, 2883, 25926, 269, 14992, 7231, 609, 2228, 3549, 543, 5665, 593, 519, 4880, 616, 513, 1906, 540, 4179, 2517, 4178, 12500, 12099, 2593, 270, 519, 1806, 269, 1358, 3335, 30107, 540, 5499, 3681, 543, 25584, 609, 8626, 27274, 1164, 2344, 1698, 267, 855, 741, 4890, 15271, 616, 693, 513, 2731, 1970, 3942, 563, 7212, 713, 6236, 729, 7839, 561, 648, 689, 827, 476, 4198, 271, 2394, 519, 1283, 540, 519, 2540, 267, 621, 814, 2094, 2490, 856, 547, 581, 1454, 1447, 2442, 269, 16010, 13315, 12948, 267, 15407, 610, 7963, 267, 5491, 267, 3854, 6990, 267, 6666, 267, 9541, 267, 543, 519, 5137, 543, 23388, 540, 13075, 2409, 269, 1280, 1383, 267, 513, 1804, 2754, 949, 991, 547, 3313, 2436, 610, 711, 547, 6318, 3063, 7482, 3842, 513, 6125, 3390, 610, 6006, 5356, 269, 20971, 8492, 949, 18973, 519, 8116, 593, 971, 9270, 543, 4217, 873, 2344, 519, 19736, 563, 26296, 9297, 18271, 2804, 6240, 547, 6218, 875, 2386, 2152, 12705, 3375, 1818, 267, 5356, 9520, 609, 519, 7405, 547, 1118, 519, 1697, 7125, 269, 1280, 1383, 267, 513, 2883, 11038, 3069, 28643, 786, 3950, 1554, 3562, 6377, 10512, 1702, 7222, 547, 6666, 10070, 543, 771, 321, 9309, 906, 547, 2327, 602, 519, 2754, 814, 6190, 6666, 547, 11886, 922, 13800, 563, 2304, 9642, 2603, 4016, 547, 606, 1931, 2179, 585, 513, 3354, 602, 568, 1447, 982, 519, 6671, 1770, 540, 9140, 543, 9513, 585, 606, 10697, 269, 15380, 713, 4016, 547, 4376, 2539, 982, 519, 8912, 835, 4627, 8843, 585, 13632, 269, 3509, 2010, 540, 7616, 6240, 31721, 5180, 12394, 547, 2062, 339, 749, 1018, 519, 2344, 786, 798, 1985, 563, 288, 2603, 568, 513, 6378, 7274, 540, 3631, 543, 568, 5462, 676, 519, 2883, 3106, 21775, 269, 634, 1871, 540, 519, 11891, 568, 9141, 676, 875, 1082, 4179, 2517, 272, 514, 4034, 532, 23357, 11721, 514, 2574, 7308, 800, 270, 8843, 1185, 1044, 9783, 543, 875, 513, 2603, 2043, 1589, 519, 9746, 568, 1871, 267, 543, 1522, 581, 1871, 563, 288, 5180, 2603, 849, 666, 1865, 609, 3875, 8843, 602, 666, 14961, 581, 5258, 676, 513, 4627, 267, 971, 607, 476, 4968, 267, 476, 272, 267, 1220, 267, 543, 476, 1428, 267, 4335, 8843, 269, 1879, 18318, 543, 18318, 4444, 543, 6133, 2883, 7405, 1369, 519, 3854, 6990, 267, 789, 9585, 602, 609, 9748, 563, 26296, 9946, 1491, 2324, 267, 7616, 543, 14104, 5079, 267, 513, 1906, 540, 713, 2404, 547, 519, 2656, 2165, 543, 513, 1906, 1279, 2196, 269, 634, 476, 277, 14362, 540, 16010, 3025, 11129, 547, 5700, 2436, 610, 711, 621, 779, 585, 1004, 610, 3906, 269, 744, 9536, 646, 2355, 616, 8843, 799, 596, 1522, 723, 12349, 693, 31680, 1871, 610, 950, 14078, 3390, 11891, 27993, 269, 4595, 891, 616, 4179, 2517, 4178, 269, 2041, 25404, 2593, 270, 711, 519, 1482, 2025, 16883, 4604, 9748, 630, 324, 3052, 269, 476, 1015, 267, 835, 4627, 267, 476, 1911, 271, 264, 972, 779, 513, 1808, 1797, 540, 5009, 9642, 9748, 538, 5867, 971, 607, 13022, 1047, 935, 1467, 269, 1452, 616, 519, 19915, 543, 2709, 607, 513, 1267, 540, 972, 616, 1100, 1447, 982, 513, 4627, 8843, 1373, 19915, 543, 3177, 693, 1346, 9832, 563, 2026, 513, 2339, 540, 5168, 267, 5883, 8804, 568, 9565, 950, 621, 2501, 547, 1818, 25926, 269, 589, 20085, 2603, 568, 513, 2834, 3099, 540, 3631, 540, 606, 5092, 1587, 269, 589, 5180, 2603, 540, 8843, 568, 476, 1911, 8843, 610, 1022, 1297, 16883, 676, 835, 4627, 269, 4595, 606, 9642, 2603, 568, 3144, 883, 2272, 9425, 28971, 547, 8273, 5238, 267, 513, 2754, 1522, 3442, 547, 1205, 7759, 540, 1022, 9642, 3180, 902, 689, 519, 2344, 563, 1432, 1826, 540, 5092, 2306, 519, 1034, 2724, 888, 1805, 1442, 568, 513, 2489, 2165, 1031, 547, 4766, 519, 9562, 22783, 540, 1022, 2754, 267, 543, 8843, 4016, 547, 519, 9562, 22783, 540, 513, 1880, 2754, 269, 1924, 267, 952, 9520, 2161, 789, 1378, 13632, 267, 789, 616, 3622, 13288, 547, 741, 2949, 9562, 538, 835, 610, 811, 3549, 563, 17843, 9537, 2986, 14351, 454, 268, 1358, 8263, 602, 519, 2344, 2557, 540, 1719, 4564, 519, 3902, 540, 3854, 547, 519, 8116, 799, 1281, 711, 1689, 609, 519, 7274, 540, 7616, 621, 2306, 563, 268, 4985, 634, 2883, 1523, 540, 7616, 814, 1044, 2919, 676, 6276, 667, 1132, 523, 9440, 563, 268, 898, 10522, 602, 3970, 1652, 7482, 616, 2139, 547, 519, 6109, 593, 519, 2344, 3902, 540, 7279, 563, 268, 634, 16795, 16057, 9386, 540, 14330, 293, 543, 3063, 568, 1813, 540, 547, 621, 779, 519, 11891, 4641, 2073, 7474, 922, 607, 2344, 519, 6109, 3902, 2152, 786, 3063, 2887, 543, 519, 6556, 786, 4473, 563, 268, 634, 5787, 1807, 6436, 11716, 519, 1909, 540, 3902, 540, 3854, 538, 5092, 3375, 676, 519, 6109, 563, 268, 3143, 791, 3176, 8594, 568, 3238, 538, 621, 607, 513, 1267, 540, 519, 6109, 1175, 3884, 1406, 2838, 547, 2628, 27993, 563, 2414, 8804, 7616, 7836, 267, 519, 6109, 949, 10210, 856, 972, 693, 8726, 1719, 2557, 7482, 616, 2139, 269, 7756, 13317, 20907, 532, 5773, 616, 3015, 547, 513, 13055, 602, 666, 581, 8246, 547, 6218, 1114, 7616, 3981, 1431, 563, 1432, 568, 1655, 547, 1902, 538, 1631, 888, 16248, 1455, 2010, 540, 2344, 4398, 616, 782, 25607, 267, 10512, 543, 21141, 269, 1717, 267, 824, 5686, 540, 2344, 4398, 616, 849, 18931, 269, 1488, 4226, 14141, 3322, 2921, 5413, 540, 3902, 10486, 540, 2883, 7405, 1063, 476, 273, 610, 811, 6990, 676, 9467, 547, 5352, 12434, 563, 27879, 633, 12411, 639, 15765, 30799, 454, 763, 8804, 9614, 1568, 609, 513, 1297, 540, 32266, 3330, 543, 13964, 519, 8116, 547, 1711, 543, 8190, 519, 2804, 1871, 540, 519, 8116, 779, 3959, 269, 634, 6240, 540, 20656, 543, 28880, 568, 1898, 689, 519, 20090, 779, 5133, 1317, 519, 20090, 814, 547, 2327, 1142, 20656, 543, 28880, 563, 4322, 616, 1759, 593, 9273, 3592, 827, 519, 7274, 540, 5092, 267, 1719, 3928, 267, 2724, 8928, 543, 13927, 540, 7024, 2404, 609, 3981, 1431, 269, 1452, 5773, 616, 4294, 547, 519, 7616, 18747, 547, 3442, 519, 1034, 2500, 11556, 269, 3690, 13905, 1590, 581, 6592, 950, 711, 3257, 865, 1131, 7654, 7369, 519, 25926, 1500, 676, 513, 5467, 540, 606, 3919, 779, 2883, 6898, 269, 901, 11148, 547, 1291, 547, 26483, 1507, 20695, 8852, 1373, 6592, 267, 538, 1931, 602, 519, 2883, 6898, 2649, 1947, 2099, 519, 2883, 2164, 267, 2883, 1747, 267, 543, 2724, 8928, 540, 513, 13055, 269, 634, 2101, 6662, 540, 519, 8804, 9614, 568, 547, 11694, 519, 1699, 6006, 1871, 630, 3225, 640, 4502, 264, 540, 519, 6109, 563, 7021, 606, 6905, 942, 16880, 267, 519, 28643, 786, 8499, 1382, 2436, 610, 711, 543, 950, 519, 2754, 11129, 547, 1930, 513, 1007, 5663, 9744, 269, 634, 9614, 786, 849, 2303, 519, 1034, 10858, 1259, 547, 8804, 519, 1788, 267, 2333, 519, 7482, 267, 1310, 4179, 2517, 272, 514, 4034, 532, 23357, 270, 799, 6895, 519, 1788, 779, 6388, 543, 5106, 269, 25613, 16040, 267, 8804, 568, 2693, 835, 540, 519, 1034, 2556, 3344, 540, 513, 13055, 269, 2060, 2462, 7482, 267, 3232, 2724, 32694, 543, 6024, 11834, 267, 5883, 543, 5464, 782, 540, 519, 1657, 16212, 2556, 563, 3674, 621, 4502, 621, 547, 4444, 476, 1015, 8843, 540, 513, 6006, 888, 2467, 616, 1614, 3664, 602, 2883, 9946, 723, 547, 1491, 281, 20971, 17423, 269, 5685, 3496, 17423, 543, 269, 29435, 754, 17423, 563, 2252, 513, 31066, 723, 1044, 547, 1747, 606, 1931, 585, 476, 2004, 8843, 693, 1269, 2004, 269, 736, 267, 519, 19915, 1131, 20866, 1832, 693, 1269, 2004, 269, 1015, 543, 519, 476, 2004, 2671, 1931, 693, 1269, 2004, 269, 736, 9327, 1406, 581, 2938, 593, 519, 1377, 4083, 547, 1034, 22278, 269, 769, 2453, 540, 3681, 267, 513, 2603, 4564, 519, 1297, 540, 11731, 8659, 538, 835, 838, 3626, 742, 3354, 269, 2290, 9698, 4781, 4579, 4564, 835, 4627, 5817, 8843, 540, 606, 3919, 779, 6006, 269, 5381, 547, 8843, 267, 519, 20085, 2603, 585, 1689, 2389, 24612, 19736, 267, 2147, 547, 606, 4123, 2389, 24612, 2508, 630, 4953, 293, 1070, 568, 476, 1911, 8843, 563, 299, 1172, 7190, 19752, 519, 2344, 1464, 540, 519, 5092, 1775, 4318, 269, 875, 1454, 2653, 547, 1205, 6666, 676, 5009, 519, 5092, 269, 2201, 519, 824, 1688, 267, 9520, 1058, 6108, 2724, 593, 513, 1259, 602, 666, 1118, 2386, 519, 12366, 1436, 540, 7443, 609, 513, 10257, 610, 6175, 3942, 540, 3463, 269, 901, 840, 1061, 568, 7255, 609, 519, 4502, 540, 6666, 267, 602, 1871, 540, 2724, 568, 8519, 950, 942, 10596, 269, 634, 1871, 540, 13362, 476, 272, 540, 519, 1699, 942, 568, 811, 982, 519, 4502, 540, 13362, 476, 272, 1310, 513, 1247, 610, 1296, 563, 2414, 2327, 19993, 3928, 540, 2132, 18046, 723, 547, 2268, 8594, 543, 2132, 676, 1142, 1463, 6482, 543, 3448, 6482, 269, 14362, 957, 607, 513, 19583, 4179, 2517, 576, 343, 269, 1470, 270, 585, 519, 5092, 543, 14104, 3903, 563, 763, 1101, 3815, 666, 1689, 2443, 19838, 538, 513, 11891, 8237, 2443, 609, 856, 519, 1866, 4657, 269, 1548, 6927, 568, 519, 12750, 1512, 593, 519, 3003, 7274, 2443, 543, 875, 4440, 1142, 12492, 762, 12343, 568, 269, 1280, 811, 10115, 8226, 267, 596, 7654, 666, 1129, 909, 585, 938, 1863, 552, 268, 12072, 9944, 269, 898, 779, 2407, 540, 2344, 3377, 543, 1382, 689, 5092, 12665, 563, 763, 2539, 519, 4960, 22812, 1189, 5223, 267, 519, 1732, 519, 7616, 568, 18284, 713, 6240, 269, 744, 9536, 2603, 23194, 616, 16450, 9753, 1500, 676, 18046, 602, 9784, 1447, 982, 835, 4627, 8843, 538, 519, 11834, 610, 2356, 616, 711, 513, 2789, 540, 835, 4627, 269, 1452, 4123, 9753, 2356, 7854, 1367, 9520, 799, 519, 25127, 11099, 616, 1454, 11038, 3069, 1447, 13473, 543, 9565, 538, 519, 2344, 2949, 269, 634, 9642, 2603, 1523, 6212, 593, 1739, 2238, 540, 1880, 1268, 9520, 9467, 538, 9642, 6266, 269, 901, 25127, 10123, 17648, 602, 9952, 9520, 543, 18318, 616, 2693, 547, 16450, 538, 5180, 2603, 7306, 630, 20123, 328, 1255, 540, 513, 4627, 8843, 1070, 547, 2087, 14499, 4398, 538, 741, 9753, 269, 0, 4942, 9582, 543, 7335, 454, 10907, 1484, 7690, 8609, 543, 6206, 8609, 476, 272, 267, 649, 4001, 18551, 630, 328, 4318, 269, 519, 4992, 6719, 676, 519, 5022, 264, 543, 948, 1453, 547, 1451, 2898, 1913, 538, 1931, 547, 1020, 513, 2647, 8289, 6863, 998, 513, 10325, 1572, 9741, 654, 663, 548, 269, 7102, 1126, 945, 5170, 547, 2154, 18551, 2542, 4309, 6462, 7459, 998, 713, 10872, 269, 901, 10872, 568, 513, 1505, 540, 1565, 4484, 4992, 543, 16471, 873, 1927, 547, 1224, 543, 2328, 1913, 269, 901, 568, 6462, 676, 513, 3102, 10325, 540, 2542, 2835, 3177, 676, 9741, 654, 663, 548, 543, 19811, 8262, 9697, 269, 5753, 945, 723, 711, 1558, 519, 2838, 3044, 585, 18551, 538, 5729, 476, 272, 610, 476, 273, 723, 3232, 18551, 7886, 2324, 998, 519, 11775, 2901, 14350, 610, 538, 1507, 1895, 7886, 269, 901, 5170, 883, 6206, 8609, 476, 273, 607, 2556, 563, 4263, 27347, 728, 12729, 3427, 782, 5049, 1246, 513, 11295, 1935, 547, 2542, 269, 2353, 7886, 616, 7317, 543, 3610, 7520, 6340, 543, 6947, 3255, 267, 2203, 519, 2542, 1184, 543, 3391, 1453, 2542, 543, 8223, 269, 10426, 633, 1565, 568, 6922, 2213, 543, 6278, 15469, 998, 2834, 946, 540, 1589, 1790, 1515, 6879, 732, 543, 10319, 4247, 563, 5978, 2832, 568, 547, 4001, 1453, 547, 711, 1152, 1224, 513, 1257, 2770, 1836, 267, 855, 547, 2087, 741, 8223, 1983, 607, 713, 786, 948, 1453, 547, 1174, 543, 2992, 2390, 1018, 621, 568, 789, 723, 1224, 269, 4400, 2298, 5931, 543, 15102, 616, 6074, 267, 3617, 547, 519, 6788, 540, 519, 1032, 1895, 610, 2702, 540, 1453, 267, 543, 3610, 946, 713, 547, 2203, 519, 3498, 540, 519, 8815, 2542, 1983, 269, 634, 2010, 540, 2055, 1453, 786, 2263, 616, 4143, 547, 835, 540, 519, 1883, 8223, 1983, 281, 7234, 543, 3695, 6863, 282, 1818, 11236, 282, 7234, 519, 2278, 779, 3903, 540, 1893, 543, 519, 1198, 621, 814, 593, 513, 5467, 282, 9034, 2358, 4798, 543, 2093, 282, 13098, 1324, 1344, 689, 519, 1257, 543, 1818, 31921, 1210, 10881, 689, 519, 1257, 563, 10702, 547, 1110, 8215, 7886, 267, 1453, 723, 519, 4316, 547, 1224 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 1103, 713, 2203, 267, 649, 946, 930, 8544, 3107, 2934, 267, 971, 607, 6820, 674, 23474, 543, 12025, 2776, 1613, 267, 547, 2087, 519, 17450, 2298, 2066, 519, 6389, 269, 1284, 5342, 513, 17450, 1353, 547, 1174, 875, 17450, 5860, 543, 3693, 2450, 666, 1764, 519, 2164, 267, 971, 607, 11544, 3905, 543, 4411, 1216, 543, 8159, 519, 5021, 6991, 543, 2837, 538, 519, 6389, 563, 275, 269, 18435, 291, 7844, 26094, 281, 4676, 710, 25042, 454, 276, 269, 20368, 13011, 5530, 543, 5071, 3525, 2305, 454, 8794, 4888, 306, 22076, 20570, 781, 10812, 7154, 666, 1683, 513, 2656, 543, 16022, 3070, 547, 948, 1118, 5483, 1374, 3664, 827, 18435, 291, 3631, 269, 3958, 267, 649, 666, 946, 519, 10812, 7154, 547, 1685, 8417, 2079, 676, 4657, 3403, 6724, 543, 8524, 532, 741, 5222, 269, 901, 2636, 721, 547, 11126, 519, 1374, 543, 2697, 1883, 6724, 7133, 5714, 2095, 543, 3002, 4483, 2623, 563, 2171, 666, 946, 513, 4164, 13011, 1353, 547, 2697, 2127, 585, 6454, 543, 1118, 1374, 2242, 547, 11126, 519, 2773, 540, 519, 18435, 291, 2203, 269, 769, 938, 4164, 13011, 1353, 267, 649, 4188, 10465, 2175, 971, 607, 2095, 6991, 543, 2837, 267, 607, 1134, 607, 22762, 3740, 2934, 540, 519, 2203, 267, 607, 1883, 6724, 538, 938, 18435, 291, 2203, 269, 1284, 1628, 1449, 2665, 609, 513, 3126, 540, 891, 6724, 543, 2638, 519, 6454, 540, 519, 11544, 1184, 538, 519, 18435, 291, 2203, 269, 898, 781, 1271, 547, 4063, 602, 9511, 14842, 568, 7543, 3330, 4888, 306, 22076, 12071, 550, 543, 18435, 311, 267, 865, 649, 991, 513, 5094, 21957, 2203, 518, 1907, 267, 971, 607, 6611, 5141, 2727, 267, 547, 1118, 519, 2242, 269, 3973, 649, 666, 2132, 519, 2203, 547, 519, 4888, 306, 22076, 18435, 291, 24626, 547, 1305, 909, 543, 4194, 519, 1007, 3631, 269, 1717, 267, 609, 4888, 306, 22076, 20570, 267, 649, 666, 1118, 782, 2242, 547, 519, 9511, 543, 6323, 540, 519, 1966, 1927, 3330, 519, 1982, 267, 799, 568, 513, 5458, 5413, 269, 1284, 1810, 1405, 991, 547, 14827, 519, 1982, 267, 543, 3388, 568, 7471, 543, 2919, 3330, 20570, 563, 5629, 649, 2744, 4030, 689, 519, 2079, 267, 649, 666, 12189, 519, 9511, 267, 4188, 519, 10465, 2175, 267, 610, 11126, 519, 1062, 3334, 547, 3035, 519, 5551, 2773, 3853, 269, 901, 27952, 1184, 2636, 721, 547, 5386, 2389, 2317, 938, 6272, 543, 3035, 6099, 2164, 563, 277, 269, 1230, 24503, 622, 14333, 18734, 5811, 454, 1103, 519, 2063, 3296, 267, 649, 2263, 519, 3002, 4483, 538, 519, 5714, 6389, 543, 519, 4478, 4396, 4703, 676, 31669, 3002, 4483, 2079, 269, 1284, 1331, 8143, 10465, 2175, 585, 519, 23969, 6821, 267, 538, 1840, 547, 519, 5714, 543, 8143, 2175, 2907, 8655, 547, 519, 5714, 6389, 269, 1284, 1101, 4019, 519, 3002, 2095, 2783, 547, 519, 17571, 267, 2491, 519, 14764, 585, 10647, 31669, 3002, 4483, 538, 5775, 903, 20570, 267, 543, 1287, 4194, 519, 2203, 543, 1397, 519, 2164, 538, 10812, 7154, 269, 3973, 267, 649, 1353, 519, 1764, 540, 10962, 1007, 1570, 543, 1007, 3002, 2175, 538, 519, 17571, 267, 9001, 519, 21697, 11251, 538, 20570, 2079, 547, 5659, 519, 2360, 282, 649, 1689, 519, 3774, 1570, 547, 7601, 18585, 543, 13604, 1039, 13471, 267, 11287, 875, 891, 12381, 3310, 519, 2164, 269, 649, 16833, 909, 713, 851, 676, 15386, 519, 14764, 543, 6061, 540, 519, 2203, 538, 519, 4676, 710, 7154, 547, 1683, 513, 3102, 3408, 540, 31669, 3002, 4483, 2079, 538, 5775, 903, 20570, 563, 3528, 19713, 519, 1379, 540, 4888, 306, 22076, 20570, 267, 649, 666, 12260, 519, 1761, 547, 2981, 519, 1374, 1184, 267, 2870, 5714, 543, 8143, 2472, 602, 616, 711, 1152, 3608, 543, 6325, 855, 849, 5963, 5499, 269, 0, 19445, 26306, 568, 513, 7613, 602, 568, 30507, 519, 1259, 4213, 7500, 269, 898, 568, 3850, 3549, 547, 15407, 519, 1379, 540, 2029, 547, 2333, 4398, 267, 2759, 3790, 267, 543, 6038, 1711, 1732, 6075, 2833, 269, 898, 568, 513, 2165, 1031, 547, 4766, 519, 946, 540, 3059, 2645, 543, 4359, 4066, 547, 28196, 710, 543, 18534, 1901, 1870, 3157, 267, 3631, 267, 543, 6075, 3347, 269, 769, 519, 3059, 1158, 267, 4213, 723, 606, 13778, 4316, 547, 4497, 5561, 538, 5499, 2081, 543, 1683, 873, 609, 10531, 3435, 269, 634, 4473, 540, 3059, 7004, 814, 8118, 909, 513, 1158, 540, 7399, 602, 666, 948, 4213, 3251, 8013, 543, 2333, 1279, 3856, 1967, 563, 763, 11588, 540, 7913, 26306, 454, 19445, 7004, 568, 6385, 4742, 513, 22294, 540, 2413, 4213, 267, 543, 972, 616, 513, 3099, 540, 2640, 602, 2097, 609, 1818, 519, 6467, 269, 3245, 2799, 4398, 543, 1942, 9806, 547, 8476, 6075, 1995, 267, 1934, 616, 930, 540, 519, 7887, 5383, 540, 3059, 7004, 563, 19445, 7004, 666, 948, 5397, 4398, 1369, 3906, 676, 6908, 23164, 3157, 543, 3678, 908, 8261, 4247, 269, 901, 2882, 4227, 16126, 593, 1957, 3157, 267, 13868, 8261, 4247, 609, 12747, 3283, 267, 6908, 23164, 2792, 1063, 13623, 267, 543, 5355, 6075, 1995, 269, 1635, 16107, 2029, 267, 4213, 666, 2569, 3790, 2404, 609, 1239, 7127, 543, 1957, 1740, 267, 20928, 3157, 543, 20104, 267, 543, 2087, 6075, 3028, 563, 3080, 540, 519, 1034, 1713, 2640, 540, 3059, 7004, 568, 519, 1942, 9806, 2404, 609, 621, 269, 1635, 28006, 547, 3059, 3157, 543, 10115, 538, 6639, 3435, 971, 607, 6531, 7384, 267, 4213, 666, 2569, 10512, 3790, 267, 2333, 4398, 267, 543, 1863, 909, 3854, 547, 581, 16539, 538, 824, 2127, 269, 3958, 267, 3059, 7004, 666, 1118, 6075, 11601, 543, 12802, 811, 22150, 543, 1942, 15807, 563, 26670, 2331, 21436, 15232, 454, 19445, 7004, 666, 948, 4213, 1683, 5561, 609, 513, 811, 10531, 543, 3358, 1995, 269, 1635, 16107, 3059, 2645, 971, 607, 5841, 4987, 267, 6075, 1239, 666, 581, 1031, 547, 3589, 6075, 7375, 543, 4363, 2472, 267, 2870, 513, 811, 15774, 267, 2502, 6075, 1995, 269, 7913, 7004, 849, 2636, 4213, 547, 7001, 267, 4558, 267, 543, 5659, 6075, 1239, 547, 1732, 1174, 741, 2115, 543, 5615, 543, 547, 1711, 1007, 10531, 2833, 563, 10574, 3354, 568, 513, 2101, 6161, 585, 1082, 4213, 267, 543, 3059, 7004, 666, 948, 11574, 891, 4220, 269, 2060, 519, 1318, 3354, 3435, 538, 1747, 267, 4213, 666, 2149, 6075, 1239, 267, 2327, 10512, 17284, 543, 10220, 267, 543, 6038, 1683, 5561, 609, 513, 5150, 267, 22973, 1995, 269, 3958, 267, 3059, 7004, 666, 948, 3549, 2149, 1996, 1239, 23563, 543, 6880, 31281, 2931, 267, 4227, 519, 8458, 540, 513, 3811, 4323, 538, 519, 1101, 1747, 563, 763, 8177, 540, 7913, 26306, 454, 2026, 811, 4213, 1118, 519, 5912, 547, 3059, 7004, 267, 922, 1764, 568, 4742, 20501, 269, 7913, 7004, 568, 7175, 4213, 547, 1831, 811, 26227, 543, 5499, 267, 5356, 5561, 811, 10531, 2833, 267, 543, 11543, 513, 8013, 5413, 538, 741, 9757, 6990, 269, 1635, 16107, 1007, 4066, 267, 4213, 666, 2333, 7607, 267, 2087, 6075, 3028, 267, 543, 2569, 10512, 3790, 1107, 782, 1247, 2810, 741, 5377, 1899, 563, 763, 1379, 540, 3059, 7004, 568, 4742, 5051, 10423, 269, 3245, 2799, 4398, 543, 1942, 9806, 547, 8476, 6075, 1995, 543, 4824, 3354, 267, 3059, 7004, 568, 7175, 4213, 547, 3251, 8013, 543, 1305, 2933, 6306, 538, 519, 3059, 1158, 269, 1635, 16107, 519, 1318, 2029, 543, 3435, 267, 4213, 666, 28231, 519, 1082, 2640, 540, 3059, 7004, 543, 6038, 1831, 811, 3811, 563, 28716, 1099, 7765, 560, 1192, 528, 2593, 585, 811, 0, 4692, 10965, 1389, 16202, 10162, 16556, 570, 559, 777, 807, 286, 6153, 610, 24768, 888, 293, 29623, 938, 4620, 15315, 513, 7059, 543, 14312, 2732, 568, 2629, 585, 741, 2949, 1072, 543, 1134, 5630, 269, 898, 568, 1898, 547, 581, 3222, 540, 1018, 3536, 616, 2922, 585, 873, 547, 8532, 538, 1931, 547, 2061, 1022, 1761, 2800, 269, 2290, 1455, 2243, 602, 14340, 568, 2436, 15315, 666, 3548, 28777, 21266, 777, 807, 267, 543, 952, 865, 267, 2436, 621, 568, 1434, 610, 6757, 585, 873, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 9422, 1871, 540, 28777, 21266, 777, 807, 267, 519, 3106, 3344, 540, 8023, 621, 547, 15315, 267, 1761, 4220, 543, 2640, 267, 1018, 547, 798, 952, 513, 13131, 22655, 28777, 21266, 777, 807, 267, 543, 9270, 585, 8023, 15315, 713, 1880, 1426, 563, 301, 26798, 10025, 540, 10162, 16556, 570, 559, 777, 807, 454, 305, 334, 16556, 21266, 777, 807, 568, 513, 2442, 3903, 1851, 1082, 2043, 1813, 547, 922, 7646, 8137, 543, 11606, 540, 5567, 269, 901, 11684, 3165, 568, 1970, 538, 8477, 267, 1818, 621, 606, 5140, 4781, 585, 1346, 3168, 547, 2226, 513, 2635, 2732, 269, 898, 568, 513, 3638, 2707, 540, 1164, 7779, 3940, 267, 15060, 268, 274, 9761, 7408, 267, 8324, 971, 607, 645, 1321, 543, 667, 267, 543, 6886, 1519, 31093, 543, 16903, 269, 1452, 5567, 1404, 513, 4105, 1909, 538, 5009, 6099, 2208, 267, 4887, 1646, 267, 543, 4761, 1599, 563, 32552, 540, 10162, 16556, 570, 559, 777, 807, 585, 10965, 1389, 454, 4692, 15315, 3548, 28777, 21266, 777, 807, 286, 634, 2626, 568, 9811, 269, 10965, 1389, 616, 23097, 5387, 20641, 602, 5097, 3049, 593, 824, 2831, 267, 971, 607, 23224, 267, 5017, 267, 543, 3165, 269, 570, 559, 777, 807, 267, 538, 922, 28777, 1106, 267, 666, 581, 513, 5078, 1840, 547, 513, 13131, 779, 2732, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 711, 782, 2249, 540, 15315, 723, 519, 1482, 8192, 4170, 269, 6969, 10962, 28777, 21266, 777, 807, 883, 741, 2732, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 2115, 540, 519, 13131, 2249, 538, 2243, 269, 2368, 15315, 949, 2154, 513, 2732, 9967, 9003, 540, 2661, 10352, 267, 1247, 1866, 666, 20496, 11273, 610, 9268, 3536, 563, 22025, 1113, 24093, 543, 11588, 540, 10965, 1389, 14856, 10162, 16556, 570, 559, 777, 807, 454, 2026, 609, 1022, 1426, 267, 972, 616, 1761, 4220, 543, 2640, 2404, 609, 15315, 10438, 28777, 21266, 777, 807, 269, 2290, 4324, 568, 519, 9422, 1871, 5018, 4505, 267, 607, 519, 3165, 2488, 513, 1434, 2707, 540, 3940, 267, 8324, 267, 543, 6886, 269, 1717, 267, 621, 568, 2629, 547, 2327, 602, 519, 21266, 777, 807, 568, 5265, 11273, 543, 1863, 689, 1022, 4005, 902, 610, 21187, 602, 949, 581, 5739, 547, 519, 13131, 269, 3958, 267, 1932, 1454, 21266, 777, 807, 538, 513, 13131, 779, 2732, 666, 1291, 547, 606, 19261, 538, 741, 9422, 6981, 267, 607, 3099, 568, 1883, 547, 513, 1134, 25454, 2732, 563, 1432, 547, 1684, 952, 513, 31315, 661, 1846, 10162, 16556, 570, 559, 777, 807, 454, 2252, 513, 13131, 18417, 27499, 28777, 21266, 777, 807, 267, 621, 568, 3622, 711, 513, 2014, 585, 7525, 6161, 269, 1717, 267, 952, 1022, 8801, 6547, 610, 2589, 2049, 267, 621, 568, 1655, 547, 5077, 513, 16943, 945, 24870, 538, 20641, 269, 1358, 666, 1683, 3318, 5583, 543, 5796, 1759, 593, 519, 1808, 13131, 2249, 543, 922, 1367, 2115, 269, 898, 568, 2141, 5227, 547, 20093, 593, 519, 2427, 540, 13657, 543, 3343, 3318, 6351, 950, 538, 8969, 563, 6962, 281, 19047, 585, 30839, 10965, 1389, 10162, 16556, 570, 559, 777, 807, 454, 1103, 3932, 267, 28777, 21266, 777, 807, 666, 581, 513, 5078, 543, 14312, 1840, 547, 513, 13131, 779, 2732, 267, 3177, 621, 568, 5423, 7157, 543, 538, 20208, 269, 634, 9422, 1871, 621, 3091, 666, 3565, 547, 513, 7059, 2732, 585, 938, 1085, 3315, 15274, 269, 1717, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 4170, 540, 519, 13131, 2249, 538, 2243, 547, 2327, 741, 1134, 5630, 269, 7352, 1214, 568, 1883, 267, 543, 513, 3309, 2732, 9967, 540, 1114, 10352, 3688, 786, 948, 2226, 519, 13131, 779, 2949, 1072, 269, 1306, 3743, 13131, 5411, 267, 621, 568, 938, 10279, 547, 1683, 938, 10130, 609, 519, 1655, 2009, 1416, 267, 1519, 513, 1134, 25454, 543, 3617, 2732, 563, 14188, 596, 585, 10115, 707, 942, 538, 3695, 1496, 2457, 21234, 316, 593, 2052, 7232, 520, 3820, 269, 3776, 3804, 568, 547, 1683, 3988, 899, 596, 609, 9488, 543, 6325, 1344, 827, 1585, 8192, 3584, 269, 3962, 2376, 267, 1519, 1496, 2457, 21234, 3910, 11710, 689, 30190, 1382, 543, 513, 6612, 585, 1620, 519, 16082, 540, 938, 1426, 5079, 269, 1284, 3494, 602, 1702, 568, 513, 4105, 1900, 2509, 1818, 5483, 543, 2635, 3664, 269, 1717, 267, 1247, 834, 314, 2457, 21234, 316, 257, 24259, 1769, 593, 922 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20660, 1535, 562, 29800, 604, 16288, 2008, 347, 13349, 8745, 1475, 290, 7394, 28693, 267, 1212, 23264, 661, 25045, 12643, 807, 267, 1212, 23264, 1714, 330, 1817, 333, 267, 1212, 23264, 4796, 601, 629, 571, 2030, 267, 4796, 601, 629, 571, 2030, 2008, 23277, 1155, 12025, 1475, 272, 268, 273, 10264, 269, 7381, 630, 785, 14995, 10245, 16085, 684, 22452, 1475, 17359, 267, 9864, 2008, 347, 3383, 559, 7392, 1475, 306, 22929, 267, 1134, 1673, 11712, 2008, 347, 3383, 559, 9063, 1475, 10907, 573, 545, 267, 9243, 267, 22279, 2008, 21270, 5979, 558, 5384, 1475, 306, 7428, 267, 4832, 2008, 26180, 12294, 7822, 1475, 303, 1074, 267, 13711, 2008, 347, 26773, 1465, 2098, 2158, 1475, 1015, 268, 1556, 7330, 2008, 30106, 16464, 640, 1475, 307, 16464, 547, 10130, 267, 6757, 547, 3425, 2008, 290, 7394, 595, 716, 639, 5516, 454, 290, 2130, 585, 513, 14147, 28693, 568, 5266, 3551, 267, 4352, 621, 1281, 8428, 5594, 689, 1034, 9390, 21728, 328, 543, 13151, 28684, 269, 901, 661, 25045, 12643, 807, 3575, 568, 811, 27031, 540, 695, 8014, 2175, 982, 1034, 661, 25045, 12643, 5362, 267, 543, 849, 3340, 811, 7928, 14450, 269, 3958, 267, 2094, 713, 30362, 568, 1500, 676, 16924, 21910, 532, 1079, 661, 25045, 12643, 807, 2371, 1927, 267, 621, 3112, 581, 9070, 730, 538, 519, 2757, 2631, 267, 971, 607, 998, 6565, 27191, 267, 6498, 267, 610, 676, 6079, 269, 769, 1931, 547, 1711, 1007, 14147, 28693, 2371, 267, 596, 1131, 991, 547, 1246, 519, 21910, 532, 1184, 563, 1607, 30362, 1281, 1655, 609, 7899, 540, 1769, 269, 1879, 3395, 519, 14147, 28693, 16280, 267, 3442, 513, 4087, 602, 4991, 1896, 3108, 540, 1463, 1769, 547, 5000, 6099, 2208, 269, 1403, 596, 3442, 547, 1332, 707, 14147, 28693, 13964, 1141, 519, 1769, 568, 811, 7920, 267, 513, 4087, 602, 568, 13148, 26484, 568, 1655, 269, 5269, 2386, 602, 596, 17967, 707, 2030, 5781, 630, 604, 596, 616, 3395, 621, 538, 11149, 264, 547, 2061, 561, 3591, 3660, 2208, 563, 2414, 2061, 936, 22476, 543, 1216, 8421, 3022, 3037, 3442, 513, 1769, 267, 1134, 1673, 20995, 3037, 3575, 602, 568, 29567, 609, 7899, 540, 829, 29411, 543, 5070, 269, 595, 716, 639, 543, 30362, 3037, 568, 2966, 4481, 585, 891, 2010, 540, 2371, 543, 2488, 6266, 540, 12775, 267, 855, 596, 666, 849, 1118, 707, 1378, 693, 1753, 952, 596, 6999, 269, 15439, 3575, 1927, 3160, 2694, 29238, 3037, 267, 829, 29411, 267, 543, 5070, 563, 763, 14147, 28693, 568, 711, 607, 10980, 2389, 26985, 607, 930, 540, 922, 2673, 14077, 538, 519, 661, 25045, 12643, 807, 1920, 269, 898, 1058, 711, 581, 4847, 547, 3819, 856, 543, 1281, 1655, 950, 530, 23926, 2899, 519, 1283, 476, 273, 547, 476, 275, 6279, 540, 3037, 568, 3819, 269, 1717, 267, 1810, 1406, 5855, 952, 596, 7340, 519, 17573, 14450, 607, 621, 666, 25483, 1394, 689, 5634, 5712, 540, 10980, 563, 307, 17687, 543, 9966, 7190, 454, 1607, 661, 25045, 12643, 807, 21593, 3636, 267, 3819, 2175, 799, 2306, 621, 1134, 25252, 1243, 547, 11255, 3395, 269, 2334, 1373, 1767, 267, 621, 666, 849, 581, 6738, 13964, 1032, 15778, 538, 22340, 10851, 476, 1015, 547, 476, 1556, 269, 17968, 267, 585, 25210, 602, 2661, 538, 21617, 4525, 267, 713, 30362, 666, 581, 6738, 13964, 1282, 519, 5614, 543, 4832, 543, 1287, 6410, 1394, 16280, 1282, 519, 669, 11035, 2887, 543, 5162, 3275, 269, 3680, 20392, 519, 14147, 28693, 547, 5210, 2630, 476, 2568, 5232, 18278, 630, 1428, 5232, 17622, 264, 547, 2061, 8380, 519, 2030, 883, 8710, 563, 763, 14147, 28693, 568, 711, 2808, 513, 1164, 1922, 3975, 518, 855, 666, 4324, 689, 930, 1769, 22289, 1282, 519, 5614, 543, 4832, 269, 15233, 513, 13226, 2966, 585, 21728, 328, 543, 13151, 28684, 2899, 513, 3923, 2394, 519, 2887, 543, 1287, 3247, 3156, 2394, 519, 1739, 5614, 563, 22025, 1154, 543, 3115, 31857, 4856, 531, 595, 716, 639, 454, 18814, 547, 519, 1249, 602, 891, 2371, 616, 21910, 539, 267, 789, 10355, 630, 604, 2479, 264, 856, 326, 992, 741, 17428, 269, 1717, 267, 621, 568, 1869, 513, 1434, 2856, 547, 1065, 582, 873, 1169, 1906, 1296, 547, 1683, 519, 2030, 609, 4195, 3037, 543, 909, 21653, 519, 1494, 952, 2877, 269, 27016, 2394, 519, 5614, 610, 4832, 3275, 950, 519, 2030, 568, 8362, 3395, 547, 1065, 582, 267, 607, 713, 786, 2061, 519, 2030, 689, 2469, 883, 8710, 563, 13349, 623, 3949, 543, 7233, 15302, 454, 19400, 856, 585, 1455, 2777, 8690, 10860, 899, 4336, 267, 803, 3315, 30471, 267, 17178, 21746, 267, 543, 30293, 799, 666, 782, 1491, 909, 15335, 593, 713, 661, 25045, 12643, 807, 269, 1403, 596, 5469, 10860, 593, 707, 2030, 267, 20586, 621, 689, 707, 824, 2371, 5612, 543, 4894, 1022, 10860, 596, 666, 1294, 609, 606, 4568, 27940, 8898, 10412, 2220, 629, 269, 1411, 666, 849, 946, 683, 655, 3282, 610, 5521, 15969, 547, 948, 1521, 811, 3978, 28383, 269, 769, 1840, 547, 891, 1455, 10860, 267, 14147, 21728, 328, 616, 849, 11630, 547, 3597, 4232, 799, 2356, 2164, 689, 7670, 23926, 2175, 563, 13349, 10819, 2060, 4856, 531, 595, 716, 639, 454, 24916, 930, 1455, 2777, 8690, 10860, 543, 3676, 267, 12391, 585, 519, 14147, 28693, 568, 5266, 2241, 543, 1966, 6954, 269, 1717, 267, 972, 616, 513, 7008, 1455, 2042, 547, 4585, 856, 585, 267, 1519, 5835, 532, 267, 543, 6960, 9634, 3384, 593, 519, 3597, 18450, 610, 1283, 30160, 540, 519, 2030, 563, 2252, 707, 14147, 28693, 568, 7432, 5835, 621, 568, 2693, 602, 519, 2030, 568, 7092, 689, 936, 22476, 269, 2755, 891, 13151, 28684, 2972, 811, 7928, 14450, 982, 930, 824, 2010, 540, 661, 25045, 12643, 5362, 267, 789, 1058, 1869, 581, 4847, 547, 3819, 5594, 1063, 1216, 902, 543, 1058, 2760, 581, 6854, 538, 9846, 5848, 3037, 2175, 269, 1403, 596, 14353, 936, 22476, 568, 519, 27521, 267, 1065, 582, 707, 14147, 28693, 609, 4195, 267, 3819, 3037, 5612, 563, 31342, 9634, 666, 1397, 909, 593, 707, 2030, 538, 1079, 1114, 2081, 32737, 6960, 1660, 1506, 9634, 267, 610, 607, 2182, 2989, 2048, 322, 5142, 6853, 23302, 685, 9634, 269, 4934, 540, 519, 1079, 267, 6960, 1660, 1506, 9634, 616, 676, 2484, 519, 811, 7282, 1267, 543, 616, 2356, 606, 16315, 540, 930, 2186, 540, 4232, 610, 16507, 3968, 269, 3689, 1919, 1101, 281, 621, 779, 513, 1434, 2856, 547, 2638, 519, 5072, 540, 707, 2030, 538, 1931, 547, 4341, 856, 3597, 4232, 269, 1403, 3597, 4232, 568, 711, 519, 27521, 1287, 621, 779, 2693, 602, 707, 14147, 28693, 568, 7092, 689, 513, 16507, 3968, 267, 693, 799, 1448, 5969, 856, 519, 4299, 1858, 568, 519, 1655, 1576, 540, 2962, 563, 29995, 267, 2182, 6960, 9634, 616, 1447, 7282, 543, 616, 3006, 1175, 513, 2048, 24249, 685, 593, 519, 2030, 779, 2960, 689, 513, 3105, 10138, 602, 646, 4705, 936, 269, 1358, 666, 849, 581, 513, 1267, 540, 3141, 14315, 799, 1522, 2049, 952, 707, 2030, 568, 10393, 6410, 689, 513, 695, 8014, 4087, 547, 606, 5393, 6505, 4087, 563, 1692, 2462, 1281, 513, 14147, 28693, 1332, 888, 4322, 21910, 539, 2371, 10355, 1332, 26339, 982, 476, 272, 547, 476, 273, 3952, 7381, 269, 2755, 519, 21910, 532, 1184, 6707, 10905, 1079, 5094, 2371, 602, 786, 2661, 593, 607, 835, 267, 9444, 2030, 786, 3136, 547, 1332, 547, 922, 2407, 1761, 2899, 21910, 539, 1927, 269, 901, 1797, 602, 519, 14147, 28693, 568, 1419, 811, 540, 513, 16560, 2030, 982, 513, 2030, 602, 596, 666, 4585, 1332, 936, 942, 563, 3963, 568, 1250, 14147, 28693, 7432, 11909, 888, 20245, 2566, 666, 2014, 519, 1283, 6712, 540, 513, 14147, 28693, 547, 1376, 7432, 11909, 269, 2755, 621, 4992, 3983, 267, 2566, 3884, 1406, 8209, 513, 3983, 3364, 585, 513, 2030, 4352, 621, 568, 2356, 606, 16315, 602, 1945, 538, 519, 2030, 779, 3395, 1604, 814, 4957, 269, 1280, 1383, 267, 952, 596, 5063, 6410, 707, 14147, 28693, 689, 513, 13148, 26484, 4087, 547, 513, 6505, 4087, 596, 949, 5469, 922, 4778, 1689, 269, 1306, 1279, 607, 519, 2030, 779, 2949, 2175, 616, 1869, 15502, 707, 2030, 568, 2693, 2469, 547, 581, 5386, 269, 1717, 267, 952, 596, 616, 14126, 596, 666, 2119, 547, 3313, 799, 1689, 568, 4929, 519, 2566, 543, 9258, 621, 563, 3963, 568, 1250, 14147, 28693, 3395, 8371, 543, 3762, 888, 2252, 596, 723, 1185, 707, 14147, 28693, 585, 513, 1279, 942, 267, 621, 568, 711, 16613, 585, 621, 547, 1376, 3395, 1007, 8371, 543, 3762, 689, 519, 5377, 6565, 540, 519, 2030, 269, 901, 568, 513, 2067, 11144, 540, 519, 2208, 540, 519, 661, 25045, 12643, 807, 562, 29800, 604, 16288, 799, 2306, 909, 519, 3597, 18450, 540, 519, 14147, 28693, 269, 2755, 621, 949, 1689, 519, 2949, 1413, 540, 707, 14147, 28693, 267, 621, 568, 513, 1129, 602, 519, 2030, 568, 6126, 543, 3395, 1134, 269, 1403, 596, 1810, 1406, 899, 519, 1413, 540, 621, 267, 596, 666, 2141, 4894, 519, 8371, 1210, 513, 8325, 6292, 540, 18309, 1352, 1513, 610, 23805, 269, 0, 12901, 541, 8157, 512, 1716, 267, 2871, 807, 632, 13056, 10044, 269, 681, 25917, 2419, 850, 454, 301, 558, 3691, 595, 1304, 881, 334, 281, 3857, 339, 1092, 454, 291, 8780, 6020, 289, 28513, 5442, 8863, 11223, 912, 12901, 541, 18377, 267, 543, 7654, 538, 519, 7013, 1858, 563, 3674, 4133, 543, 22586, 17822, 543, 2392, 2958, 657, 553, 563, 21920, 281, 476, 4375, 910, 476, 6078, 524, 916, 563, 25802, 2147, 547, 3162, 1977, 570, 1716, 630, 307, 1716, 1040, 898, 15320, 676, 2348, 10156, 7953, 267, 6094, 543, 1373, 513, 2370, 4819, 269, 898, 568, 2009, 602, 1312, 14797, 789, 7237, 538, 519, 3665, 5045, 267, 855, 972, 568, 513, 7279, 281, 1281, 711, 1847, 5087, 593, 519, 7414, 2427, 267, 3079, 4422, 547, 8478, 593, 519, 9533, 2427, 563, 25802, 2352, 547, 16174, 538, 519, 1647, 563, 15575, 1845, 1141, 2729, 717, 822, 3999, 514, 4165, 5451, 4135, 4815, 0, 1708, 273, 268, 2537, 5729, 476, 275, 4804, 454, 8702, 547, 5729, 476, 275, 781, 4804, 8525, 454, 2080, 267, 596, 786, 1265, 856, 827, 782, 938, 15999, 1565, 543, 3872, 15413, 3547, 256, 901, 1032, 267, 649, 786, 581, 11018, 1702, 593, 513, 3309, 2039, 540, 3584, 267, 6721, 3860, 543, 2502, 4773, 1603, 267, 17516, 938, 2053, 7515, 543, 18167, 4514, 883, 519, 1158, 540, 1966, 6061, 2336, 2467, 616, 930, 13561, 6054, 585, 596, 547, 2070, 547, 2285, 596, 513, 2370, 811, 1469, 593, 938, 2165, 569, 543, 21496, 4566, 2336, 2080, 616, 513, 1906, 6402, 547, 7270, 585, 513, 2039, 540, 2296, 267, 13004, 543, 824, 1225, 14152, 2238, 799, 596, 666, 946, 547, 26821, 519, 1983, 649, 4001, 693, 1153, 610, 1256, 547, 1175, 5490, 883, 824, 5396, 2336, 1103, 2296, 267, 938, 1565, 786, 581, 1044, 1759, 593, 519, 2835, 20646, 2880, 6004, 16737, 543, 634, 8187, 31584, 269, 1284, 786, 2328, 938, 1378, 6386, 782, 827, 6004, 16737, 8840, 883, 6519, 327, 718, 547, 21102, 1426, 269, 1284, 786, 849, 1491, 851, 538, 9840, 543, 1711, 930, 8748, 11247, 269, 1284, 786, 1224, 513, 1875, 7302, 1258, 1670, 1867, 827, 519, 11848, 2943, 328, 543, 2328, 827, 938, 1378, 16545, 818, 8157, 7068, 269, 1284, 786, 723, 513, 1390, 942, 1210, 10388, 2553, 543, 1893, 547, 1711, 6978, 7410, 585, 519, 8187, 9255, 5741, 563, 1103, 13174, 713, 2165, 267, 649, 786, 1020, 938, 1702, 543, 1620, 540, 8691, 543, 6498, 269, 1284, 786, 1445, 593, 1565, 938, 2053, 7515, 267, 1210, 3815, 8424, 543, 3384, 513, 2039, 540, 2790, 2994, 547, 948, 721, 9062, 269, 1284, 786, 849, 1413, 693, 6101, 2409, 585, 8691, 543, 6498, 971, 607, 519, 7470, 1505, 543, 2110, 6498, 269, 1284, 786, 1020, 938, 1966, 6061, 543, 7744, 1983, 998, 513, 2039, 540, 24090, 995, 13812, 6273, 2042, 2336, 1607, 2165, 538, 3163, 267, 649, 786, 581, 1565, 827, 2713, 1919, 543, 741, 9249, 269, 1284, 786, 1451, 827, 519, 5722, 1272, 3157, 602, 3313, 952, 1945, 568, 513, 2713, 11248, 267, 1354, 3001, 593, 547, 1413, 693, 1114, 2249, 540, 3662, 269, 1284, 786, 1711, 8760, 10569, 547, 19665, 519, 2249, 649, 1336, 269, 1284, 786, 1451, 827, 1426, 11800, 543, 875, 835, 1689, 538, 519, 1426, 5832, 666, 1764, 782, 519, 824, 4448, 2249, 269, 1284, 8737, 519, 2165, 3168, 693, 14624, 543, 2870, 938, 1378, 7068, 2523, 9862, 547, 741 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 3933, 1399, 8065, 9046, 2913, 521, 5269, 589, 20958, 281, 513, 3014, 1397, 692, 2162, 476, 278, 269, 272, 31401, 267, 12726, 28805, 267, 543, 15638, 692, 278, 269, 272, 31401, 267, 12726, 28805, 267, 543, 15638, 1323, 4603, 568, 606, 2534, 602, 814, 28507, 2164, 269, 6201, 281, 570, 1601, 532, 513, 11777, 267, 12902, 18062, 267, 16116, 27371, 856, 540, 513, 20220, 267, 3092, 269, 634, 1267, 540, 606, 4603, 692, 2162, 589, 269, 476, 1428, 645, 269, 476, 2190, 595, 269, 476, 3393, 667, 269, 476, 7918, 692, 288, 8095, 1676, 568, 5258, 883, 476, 279, 3160, 6810, 269, 700, 4673, 30809, 519, 8095, 1676, 476, 6344, 2053, 269, 898, 3338, 593, 13711, 476, 1789, 2053, 269, 1215, 1082, 811, 2053, 1281, 700, 4673, 991, 547, 8095, 519, 8095, 1676, 543, 723, 621, 2244, 593, 13711, 585, 519, 3448, 692, 2162, 6657, 476, 280, 268, 272, 269, 17438, 692, 20797, 476, 280, 268, 272, 17438, 1411, 8095, 513, 8095, 1676, 22921, 476, 272, 998, 476, 1015, 269, 3962, 6364, 568, 8449, 2693, 269, 4855, 519, 17831, 2630, 607, 513, 6824, 267, 8918, 267, 543, 2600, 269, 476, 272, 269, 623, 263, 280, 264, 476, 273, 269, 623, 16216, 1597, 264, 476, 274, 269, 623, 28840, 476, 275, 269, 623, 9852, 738, 2118, 692, 2162, 25043, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 692, 28062, 725, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 8745, 11261, 1215, 666, 594, 946, 5506, 547, 1118, 11236, 286, 5620, 596, 2479, 6836, 547, 3589, 799, 11176, 2319, 786, 3094, 513, 2462, 3014, 286, 1403, 865, 267, 596, 4440, 692, 2162, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 780, 19138, 6651, 585, 4530, 8633, 630, 21316, 295, 476, 14321, 271, 264, 8745, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 4855, 519, 1297, 540, 29162, 540, 519, 1305, 269, 476, 272, 264, 2715, 343, 1535, 568, 606, 1256, 692, 2162, 5254, 3036, 476, 14028, 13823, 2563, 10803, 269, 17976, 476, 1015, 281, 15932, 1145, 543, 17438, 7844, 692, 763, 6167, 4353, 8991, 14510, 540, 715, 3036, 8025, 27334, 5357, 2562, 288, 693, 8863, 4338, 5085, 670, 21135, 5254, 3036, 476, 14028, 13823, 2563, 10803, 17976, 476, 1015, 281, 15932, 1145, 543, 17438, 7844, 476, 1015, 270, 277, 270, 6021, 17976, 476, 1015, 476, 272, 634, 3933, 1399, 8065, 9046, 2913, 521, 5269, 589, 20958, 281, 513, 3014, 1397, 692, 2162, 29329, 4569, 19449, 3380, 5437, 476, 272, 267, 476, 1001, 278, 17438, 594, 692, 1103, 23059, 4569, 19449, 3380, 5437, 476, 272, 267, 476, 1001, 278, 17438, 594, 17438, 568, 519, 1353, 540, 7334, 2621, 610, 4093, 269, 10632, 540, 4960, 602, 4125, 12902, 18062, 610, 7231, 6486, 616, 835, 6654, 1858, 540, 3498, 780, 2162, 570, 297, 303, 570, 8008, 30263, 4916, 11123, 30312, 17698, 29865, 306, 1299, 11550, 289, 5723, 6579, 14510, 692, 307, 297, 303, 570, 8008, 30263, 4916, 11123, 30312, 17698, 29865, 306, 1299, 11550, 289, 5723, 6579, 14510, 3220, 570, 808, 12313, 267, 476, 1001, 272, 3689, 267, 930, 1271, 1913, 282, 917, 1018, 789, 1611, 630, 1326, 2576, 547, 1449, 596, 2567, 6399, 519, 2040, 540, 519, 1239, 2418, 5258, 676, 519, 1297, 540, 3688, 780, 2162, 476, 274, 269, 513, 269, 623, 263, 19009, 264, 815, 267, 610, 269, 536, 269, 6902, 519, 5506, 540, 7446, 513, 3043, 3625, 269, 546, 269, 623, 263, 19009, 264, 815, 267, 610, 269, 476, 275, 269, 513, 269, 815, 476, 272, 536, 269, 476, 271, 524, 269, 815, 476, 271, 692, 9172, 9955, 27148, 31984, 12143, 932, 7860, 9046, 269, 11759, 267, 476, 277, 4033, 22627, 267, 6987, 5014, 9046, 269, 11759, 476, 277, 4033, 22627, 476, 278, 6902, 796, 817, 11220, 5079, 689, 3105, 2042, 9046, 269, 11759, 476, 278, 476, 280, 4033, 22627, 692, 2162, 476, 277, 264, 589, 264, 1312, 282, 6126, 645, 264, 9444, 282, 711, 6126, 595, 264, 835, 282, 6126, 667, 264, 835, 282, 711, 6126, 692, 21316, 295, 476, 876, 4534, 11553, 3722, 2316, 4753, 570, 12239, 476, 273, 7085, 619, 6807, 2160, 267, 11354, 476, 1708, 27050, 772, 18037, 267, 769, 1598, 269, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 4855, 782, 2067, 692, 2162, 22444, 31631, 14473, 476, 273, 12968, 832, 9625, 7689, 476, 280, 269, 273, 8018, 2271, 549, 547, 17438, 692, 306, 4488, 31631, 14473, 476, 273, 12968, 832, 9625, 7689, 476, 280, 269, 273, 8018, 2271, 549, 547, 17438, 8745, 11270, 3503, 782, 17831, 607, 8454, 538, 4389, 1106, 256, 2422, 519, 2016, 1344, 547, 2347, 2042, 476, 272, 268, 274, 269, 12866, 1053, 723, 519, 692, 2162, 3848, 30150, 2055, 269, 17438, 269, 476, 272, 269, 5565, 11113, 616, 19184, 539, 8195, 269, 4855, 519, 5506, 540, 3478, 4010, 835, 2766, 780, 23536, 1464, 476, 272, 269, 5565, 11113, 616, 19184, 539, 8195, 269, 4855, 519, 5506, 540, 3478, 4010, 835, 2766, 269, 476, 273, 269, 476, 2918, 6486, 6825, 609, 2296, 5022, 589, 547, 2098, 630, 821, 4484, 593, 1142, 3556, 264, 616, 695, 4428, 1194, 1134, 269, 1403, 835, 692, 2162, 32516, 476, 273, 11550, 289, 5723, 6579, 14510, 269, 476, 273, 269, 272, 12726, 6611, 269, 476, 273, 269, 273, 15638, 692, 6224, 22790, 476, 273, 11550, 289, 5723, 6579, 14510, 476, 273, 269, 272, 12726, 6611, 589, 5506, 2203, 5161, 540, 519, 3732, 2230, 543, 519, 1259, 547, 3651, 17831, 269, 12726, 2230, 1299, 3732, 1448, 634, 3732, 2230, 590, 267, 568, 519, 1305, 540, 782, 2009, 4093, 692, 2162, 10789, 594, 11872, 5149, 2290, 281, 7464, 7089, 3590, 692, 306, 22690, 16086, 20505, 281, 476, 272, 269, 272, 634, 2875, 786, 10891, 8579, 1239, 998, 519, 946, 540, 14290, 630, 5976, 543, 1510, 2029, 1040, 476, 272, 269, 273, 634, 2875, 786, 1685, 1840, 267, 12408, 267, 543, 22185, 8691, 692, 2162, 3345, 22208, 7991, 5441, 15604, 661, 4041, 16774, 14473, 5254, 288, 2316, 306, 23154, 476, 28360, 278, 13878, 295, 8791, 476, 4962, 267, 6657, 5999, 585, 4530, 476, 273, 3848, 476, 274, 543, 476, 275, 692, 22139, 22208, 7991, 5441, 15604, 476, 1001, 273, 661, 4041, 16774, 14473, 5254, 288, 2316, 306, 23154, 476, 28360, 278, 13878, 295, 476, 11820, 910, 8791, 476, 4962, 267, 6657, 5999, 585, 4530, 476, 273, 3848, 476, 274, 543, 476, 275, 476, 272, 269, 4147, 1518, 1142, 3948, 607, 606, 1383, 540, 12170, 5506, 10484, 2162, 3848, 476, 274, 281, 11550, 289, 5723, 6579, 14510, 692, 6637, 476, 274, 4569, 476, 17168, 272, 476, 272, 476, 274, 269, 272, 10289, 17438, 281, 623, 16216, 1203, 264, 815, 3848, 476, 274, 281, 11550, 289, 5723, 6579, 14510, 1297, 540, 4093, 7957, 24461, 547, 519, 2680, 2698, 1297, 540, 4093, 538, 519, 3732, 2230, 1323, 2680, 568, 1022, 4015, 540, 692, 2162, 27491, 281, 7994, 519, 1655, 2626, 543, 12094, 538, 519, 7222, 4484, 593, 519, 2626, 6656, 3177, 269, 2142, 2386, 547, 1331, 707, 2012, 543, 2875, 9517, 780, 13043, 476, 17168, 272, 5149, 476, 274, 17438, 4530, 476, 272, 5149, 4530, 8745, 281, 3487, 476, 272, 29120, 15863, 281, 27491, 281, 7994, 519, 1655, 2626, 543, 12094, 538, 519, 7222, 4484, 593, 519, 2626, 6656, 3177, 269, 2142, 2386, 547, 1331, 692, 2162, 17438, 269, 3220, 269, 18681, 16110, 5069, 1133, 643, 780, 23536, 1464, 256, 3220, 269, 18681, 16110, 5069, 1133, 643, 269, 476, 272, 17438, 281, 7291, 4985, 256, 15331, 267, 2680, 267, 3732, 2230, 256, 17438, 540, 2621, 256, 12433, 17438, 256, 3414, 10203, 256, 5681, 4341, 543, 2489, 2040, 4341, 2439, 2162, 17438, 543, 15932, 1145, 269, 4303, 476, 272, 692, 23536, 1464, 543, 15932, 1145, 4303, 476, 272, 15932, 1145, 543, 17438, 634, 6128, 540, 4960, 568, 1572, 269, 634, 5506, 540, 1022, 6364, 540, 513, 4960, 1184, 568, 513, 1297, 1063, 602, 6257, 519, 8167, 540, 692, 2162, 11822, 17438, 269, 14880, 6519, 269, 476, 2764, 628, 5181, 476, 1001, 277, 692, 26594, 17438, 14880, 6519, 476, 2764, 628, 5181, 476, 1001, 277, 11525, 3809, 616, 513, 6310, 1259, 547, 4766, 606, 7334, 6364, 269, 1280, 552, 2217, 267, 15475, 513, 21997, 30477, 6233, 476, 1015, 267, 1822, 8444, 540, 606, 3693, 589, 267, 543, 692, 2162, 17438, 29896, 14871, 521, 15015, 692, 23536, 1464, 29896, 14871, 521, 15015, 11657, 566, 540, 2934, 543, 6165, 585, 17438, 29896, 14645, 476, 1220, 271, 11759, 344, 13177, 543, 681, 755, 344, 25538, 1676, 476, 272, 7305, 540, 12937, 476, 272, 269, 4937, 5590, 1575, 476, 274, 476, 273, 269, 3213, 514, 8791, 476, 275, 692, 2162, 8791, 11933, 3749, 543, 21885, 17438, 1862, 310, 802, 476, 274, 692, 11243, 281, 4147, 281, 11261, 281, 8791, 476, 277, 269, 279, 27401, 31628, 3749, 543, 21885, 17438, 1862, 310, 802, 476, 274, 269, 20640, 11084, 22921, 689, 547, 476, 279, 616, 5116, 538, 513, 11127, 269, 2290, 3440, 568, 5697, 693, 4351, 269, 4855, 519, 5506, 602, 621, 692, 2162, 901, 17438, 13268, 564, 5617, 29330, 547, 1384, 1607, 17438, 13268, 564, 5617, 29330, 547, 281, 476, 272, 476, 273, 13749, 1948, 272, 281, 631, 1299, 631, 521, 476, 272, 269, 1548, 568, 519, 3732, 2230, 540, 707, 9126, 540, 631, 261, 300, 521, 286, 476, 273, 269, 4855, 519, 7811, 5506, 540, 519, 631, 261, 300, 521, 538, 707, 9126, 269, 3973, 267, 1747, 519, 17711, 1394, 883, 692, 2162, 12634, 9119, 4569, 476, 9818, 271, 12726, 11929, 594, 30667, 5384, 23423, 281, 476, 3445, 3687, 2373, 3143, 2480, 337, 2255, 7433, 18185, 14190, 539, 281, 11660, 692, 28757, 9119, 4569, 476, 9818, 271, 12726, 11929, 594, 30667, 476, 1724, 268, 1428, 5384, 23423, 281, 476, 3445, 3687, 2373, 3143, 2480, 337, 2255, 7433, 18185, 14190, 539, 281, 11660, 8745, 281, 634, 1448, 1871, 540, 1142, 1966, 568, 538, 519, 2451, 11804, 14345, 780, 2162, 13878, 295, 22295, 7728, 21398, 10498, 269, 476, 278, 628, 6103, 5149, 476, 277, 692, 21316, 295, 22295, 7728, 21398, 10498, 476, 278, 628, 6103, 5149, 476, 277, 5149, 476, 277, 17438, 543, 8641, 532, 4569, 476, 3583, 277, 17438, 543, 8641, 532, 4985, 476, 274, 476, 272, 269, 17438, 476, 276, 11933, 3749, 17438, 476, 276, 21885, 17438, 476, 1724, 12726, 6611, 476, 736, 692, 2162, 8745, 281, 5149, 476, 278, 5530, 6651, 476, 272, 269, 2422, 519, 8095, 1676, 547, 2012, 519, 2681, 602, 13352, 1142, 540, 519, 1739, 6898, 780, 272, 269, 2422, 519, 8095, 1676, 547, 2012, 519, 2681, 602, 13352, 1142, 540, 519, 1739, 6898, 269, 3039, 4544, 3043, 3043, 4544, 513, 269, 634, 8095, 1676, 786, 2244, 593, 713, 2681, 827, 607, 1419, 607, 621, 3338, 593, 3043, 269, 536, 269, 634, 4960, 540, 692, 2162, 594, 269, 18040, 2969, 4959, 11550, 289, 5723, 6579, 14510, 2496, 290, 670, 22790, 476, 274, 11550, 288, 6579, 14510, 15932, 31401, 594, 269, 18040, 2969, 4959, 11550, 288, 6579, 14510, 286, 634, 4365, 2006, 593, 476, 1015, 522, 9219, 3377, 1982, 2829, 602, 972, 568, 513, 476, 736, 260, 4960, 602, 621, 786, 6777, 14182, 267, 513, 476, 4792, 260, 4960, 602, 621, 786, 4764, 543, 692, 2162, 10789, 476, 273, 11872, 8791, 476, 1015, 269, 272, 281, 15233, 519, 25478, 20232, 543, 18983, 20706, 692, 31580, 476, 273, 11872, 8791, 476, 1015, 269, 272, 281, 15233, 519, 25478, 20232, 543, 18983, 20706, 20638, 4433, 2567, 18500, 281, 594, 269, 27284, 25478, 20232, 281, 5565, 15638, 281, 8422, 610, 811, 15638, 281, 4083, 269, 18983, 16615, 281, 630, 9008, 540, 533, 269, 476, 6924, 275, 2020, 2162, 14581, 1948, 272, 268, 866, 281, 2422, 519, 25478, 20232, 547, 2626, 519, 1739, 2055, 780, 4089, 476, 275, 269, 274, 281, 10326, 30894, 543, 519, 25478, 20232, 14581, 1948, 272, 268, 866, 281, 2422, 519, 25478, 20232, 547, 2626, 519, 1739, 2055, 269, 476, 272, 264, 1403, 1079, 7389, 616, 5697, 693, 4351, 689, 519, 476, 18458, 2395, 540, 519, 1032, 692, 2162, 16294, 543, 12810, 27159, 630, 8138, 338, 1115, 264, 540, 519, 12726, 6611, 630, 26536, 531, 5590, 2020, 1321, 269, 274, 543, 476, 1321, 269, 275, 11872, 16387, 476, 272, 12810, 2719, 519, 12726, 6611, 1210, 966, 3317, 30894, 589 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 593, 519, 17689, 543, 2046, 2048, 9359, 685, 538, 519, 1239, 19883, 3301, 563, 1321, 264, 2913, 519, 4603, 2196, 585, 476, 1240, 3764, 563, 1724, 264, 1879, 519, 942, 814, 5293, 267, 2046, 2048, 1805, 641, 685, 538, 519, 1239, 19883, 3301, 543, 771, 3430, 778, 519, 5135, 524, 16428, 689, 519, 598, 673, 1166, 2532, 563, 1691, 264, 23680, 519, 1166, 2532, 585, 513, 1906, 3764, 563, 1428, 264, 19244, 3268, 476, 277, 547, 476, 1724, 585, 519, 824, 2681, 6882, 563, 12606, 589, 32142, 568, 320, 1769, 8515, 593, 15591, 552, 9248, 610, 8261, 338, 454, 7072, 7464, 2622, 4296, 8752, 8515, 568, 513, 3815, 538, 519, 2557, 540, 15591, 267, 799, 568, 519, 2504, 540, 2241, 14836, 689, 3327, 8166, 543, 1216, 267, 4929, 519, 5305, 540, 4006, 543, 5135, 563, 31688, 657, 11853, 1769, 8515, 7634, 910, 1133, 1853, 810, 6693, 21900, 657, 11853, 1769, 8515, 267, 1769, 18679, 1691, 270, 4905, 270, 1001, 279, 5788, 634, 12186, 540, 8752, 2271, 3748, 543, 20613, 767, 2654, 593, 519, 15580, 540, 16071, 11853, 454, 10468, 340, 19868, 11576, 832, 1923, 3026, 340, 19868, 2845, 3455, 8596, 2709, 513, 16221, 6693, 294, 17698, 3163, 10613, 630, 288, 304, 288, 4959, 288, 994, 288, 304, 288, 1923, 23722, 1923, 10334, 1923, 13595, 1543, 454, 294, 17698, 3163, 2409, 3226, 14018, 547, 589, 304, 288, 23722, 2257, 4959, 288, 17440, 4559, 454, 19285, 723, 2141, 1044, 24330, 676, 519, 2656, 2490, 19925, 543, 707, 9488, 1145, 269, 31418, 1176, 519, 1034, 3318, 1557, 1603, 3028, 593, 519, 1357, 4799, 257, 7312, 6351, 543, 519, 1101, 1362, 3028, 568, 1454, 15874, 269, 3733, 1557, 14509, 865, 1134, 543, 1510, 707, 948, 594, 6415, 2386, 594, 1131, 723, 1044, 6825, 1524, 1586, 593, 8239, 543, 16105, 4799, 257, 12552, 1586, 585, 707, 5140, 960, 609, 1250, 10467, 269, 3143, 22027, 596, 2811, 3020, 4966, 693, 1018, 596, 798, 543, 1360, 3839, 4799, 257, 25802, 3318, 267, 10464, 543, 7874, 3028, 269, 8729, 585, 1603, 1079, 1271, 3594, 585, 803, 267, 594, 9327, 1405, 723, 2854, 621, 8885, 1317, 540, 519, 9395, 21120, 4799, 257, 12552, 585, 707, 18762, 3750, 267, 3007, 547, 1469, 543, 2949, 24077, 3028, 269, 8729, 547, 596, 267, 1631, 594, 993, 8746, 602, 594, 666, 10505, 1250, 2165, 1957, 593, 942, 4799, 257, 14188, 596, 585, 519, 24321, 2969, 960, 596, 723, 2944, 269, 3807, 4941, 547, 2995, 602, 594, 6415, 1360, 6126, 609, 1250, 1557, 543, 786, 1205, 1394, 609, 811, 10467, 4166, 1701, 0, 296, 7012, 1406, 5423, 585, 519, 1523, 602, 972, 1522, 581, 24455, 602, 9327, 1406, 1616, 547, 8661, 4516, 779, 476, 5611, 628, 14512, 563, 296, 723, 1044, 3168, 4464, 547, 713, 16683, 1032, 2094, 1250, 6689, 269, 11109, 9411, 519, 1158, 1175, 936, 2947, 1296, 1310, 519, 476, 3422, 278, 1298, 27812, 16873, 267, 594, 729, 22992, 9599, 1282, 1250, 2038, 3446, 17469, 1296, 950, 594, 7691, 602, 594, 1131, 1869, 581, 5266, 1762, 1107, 476, 4510, 267, 2469, 593, 476, 3393, 1107, 950, 938, 1390, 4182, 5828, 476, 5611, 269, 630, 20118, 267, 594, 899, 519, 2219, 602, 594, 1522, 2965, 581, 540, 21230, 3280, 2247, 543, 1560, 952, 594, 6557, 1869, 9800, 950, 4516, 16125, 519, 476, 11260, 4458, 1665, 267, 711, 547, 2446, 519, 3544, 4960, 602, 594, 1223, 3914, 938, 22833, 550, 27812, 538, 476, 18684, 278, 8094, 3383, 621, 779, 1044, 771, 935, 32662, 532, 585, 803, 547, 8275, 602, 513, 1713, 6712, 540, 519, 2551, 3085, 1406, 1294, 5147, 476, 272, 607, 513, 3226, 6126, 1554, 543, 7959, 649, 2461, 7508, 513, 2484, 811, 1271, 24182, 1107, 4481, 267, 4516, 779, 705, 13092, 2146, 563, 7021, 519, 2250, 1032, 267, 649, 4076, 4862, 513, 3395, 1297, 540, 6898, 689, 519, 3689, 8315, 6575, 543, 2528, 5823, 267, 607, 1134, 607, 922, 2489, 5718, 267, 547, 7618, 721, 782, 602, 519, 1686, 540, 1018, 649, 1631, 5581, 607, 4516, 7389, 1394, 10199, 476, 1724, 267, 1822, 547, 476, 1428, 267, 1822, 1296, 1354, 32700, 563, 16914, 558, 11952, 532, 891, 3140, 18589, 1667, 568, 519, 1989, 574, 4641, 602, 1071, 4725, 2787, 8942, 1063, 713, 2244, 779, 3312, 11317, 543, 922, 8545, 6377, 2855, 11040, 1131, 6961, 11552, 6470, 693, 1655, 543, 1524, 2431, 27337, 881, 267, 536, 867, 1359, 593, 30739, 21393, 267, 693, 10782, 563, 28495, 3753, 2663, 267, 741, 18939, 1869, 6560, 547, 2097, 547, 2474, 609, 9583, 1532, 553, 545, 2533, 971, 607, 2973, 6704, 1216, 585, 3689, 8315, 2950, 269, 1358, 8749, 741, 3952, 593, 519, 19018, 622, 14897, 766, 543, 12638, 540, 6805, 2021, 543, 835, 540, 519, 6574, 695, 1868, 540, 713, 1107, 610, 1022, 1107, 4182, 267, 4516, 779, 10821, 1153, 1062, 563, 296, 729, 27337, 1881, 547, 8275, 267, 3842, 513, 17245, 595, 4331, 543, 594, 14478, 519, 3781, 1354, 594, 5206, 713, 6241, 267, 602, 10821, 3506, 1869, 11478, 538, 713, 2197, 2394, 476, 1960, 277, 269, 8307, 476, 2641, 1296, 3516, 269, 594, 723, 1100, 2856, 875, 1022, 2244, 2527, 10912, 3294, 513, 3540, 1242, 2197, 1223, 1450, 713, 547, 2049, 693, 782, 267, 1577, 4805, 1282, 938, 3076, 564, 1307, 563, 4517, 2943, 1934, 649, 616, 267, 28277, 6000, 538, 519, 8225, 9206, 267, 605, 8010, 532, 547, 519, 1158, 602, 23600, 568, 513, 1686, 543, 2528, 602, 3085, 1406, 1350, 528, 1518, 5208, 543, 3091, 4316, 543, 3354, 585, 782, 563, 3086, 267, 594, 6557, 711, 2469, 547, 1694, 1934, 543, 2995, 596, 594, 4076, 10393, 11074, 14120, 4516, 779, 28140, 638, 545, 550, 27812, 269, 594, 798, 267, 2705, 267, 5431, 602, 621, 779, 711, 607, 2241, 607, 1688, 532, 2576, 513, 4062, 540, 2699, 543, 3043, 14735, 543, 24584, 5553, 685, 4502, 540, 2042, 547, 10393, 14897, 563, 8253, 1169, 14512, 568, 513, 6126, 14512, 269, 6875, 519, 595, 753, 334, 20531, 3118, 779, 476, 2004, 628, 16683, 16873, 269, 594, 729, 4378, 10696, 547, 581, 1851, 1346, 8380, 1927, 606, 16529, 1592, 540, 3140, 543, 2686, 2238, 585, 513, 3018, 17489, 5428, 602, 21401, 1472, 519, 26463, 1858, 563, 3719, 594, 729, 849, 4230, 15903, 547, 1451, 602, 1082, 1004, 538, 938, 1858, 4769, 1406, 2671, 1250, 15131, 1107, 4481, 267, 519, 2950, 540, 25109, 6588, 557, 543, 8672, 16515, 3899, 267, 799, 941, 11014, 4957, 676, 519, 1439, 540, 519, 840, 4211, 1021, 3118, 7542, 787, 3028, 538, 476, 4198, 276, 563, 28074, 547, 1250, 9983, 267, 519, 1592, 540, 29926, 619, 849, 3769, 519, 21007, 685, 14790, 1177, 2146, 269, 1879, 594, 30409, 513, 2199, 705, 13092, 7376, 547, 2015, 10283, 538, 513, 968, 290, 1021, 3118, 9919, 559, 573, 327, 892, 2966, 547, 8661, 519, 1858, 779, 1082, 4529, 267, 646, 5612, 15653, 803, 267, 30418, 602, 4516, 779, 3689, 8315, 14201, 1406, 31570, 676, 24455, 3238, 609, 519, 2014, 3118, 779, 4070, 563, 296, 729, 31945, 11398, 539, 269, 634, 26463, 540, 595, 753, 334, 729, 1896, 12919, 2476, 689, 1022, 21007, 685, 14790, 1177, 2146, 594, 1223, 4952, 269, 4208, 1131, 789, 991, 547, 581, 31570, 888, 296, 4769, 1406, 1205, 621, 1287, 269, 3828, 10679, 1296, 2663, 267, 594, 6557, 1454, 6251, 547, 1620, 713, 812, 779, 4145, 269, 634, 2244, 543, 519, 1216, 602, 1034, 540, 721, 917, 607, 519, 3057, 527, 1307, 568, 1869, 2938, 676, 1082, 607, 21007, 685, 330, 2742, 685, 7288, 267, 799, 568, 519, 2757, 2012, 2016, 547, 621, 676, 922, 3312, 11317, 269, 1677, 3274, 8263, 602, 621, 12217, 1152, 835, 3961, 568, 513, 4744, 16291, 547, 1346, 4171, 11937, 6170, 5553, 12391, 585, 621, 563, 2171, 1705, 8197, 723, 513, 21007, 685, 14790, 1177, 6712, 540, 938, 968, 290, 1021, 3118, 9919, 559, 573, 327, 892, 1107, 1369, 922, 1101, 476, 1015, 3764, 267, 607, 513, 2339, 540, 1249, 269, 1284, 849, 1305, 11735, 476, 1015, 3764, 585, 2984, 267, 8964, 543, 9954, 9447, 676, 267, 543, 827, 267, 519, 1004, 540, 8672, 16515, 3899, 543, 25109, 6588, 557, 267, 607, 1134, 607, 1776, 10126, 13991, 547, 8964, 676, 1346, 945, 1152, 1294, 519, 2014, 3118, 607, 513, 22378, 333, 995, 22576, 1448, 585, 15729, 6601, 2023, 563, 5472, 540, 891, 9739, 616, 851, 543, 1612, 4897, 540, 519, 595, 753, 334, 20531, 3118, 1650, 267, 1175, 607, 2527, 2244, 3261, 566, 267, 1973, 338, 1117, 543, 2686, 30886, 616, 796, 28300, 762, 3344, 540, 4516, 779, 2078, 609, 922, 3689, 8315, 563, 9802, 649, 1832, 3001, 4464, 538, 5466, 891, 2152, 267, 547, 1450, 782, 23671, 547, 1294, 5147, 476, 272, 607, 513, 14512, 543, 711, 513, 11411, 267, 713, 1032, 543, 1169, 1032, 269, 0, 1692, 547, 2328, 606, 1957, 7291, 454, 2005, 4422, 1510, 6031, 267, 7488, 540, 1826, 267, 1022, 1557, 2115, 606, 7291, 563, 15697, 5675, 6997, 269, 2337, 2061, 513, 5856, 689, 3478, 12758, 950, 7900, 519, 4890, 1603, 540, 519, 1557, 20193, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 267, 540, 1576, 267, 855, 621, 568, 513, 3730, 2203, 585, 596, 547, 1832, 538, 2247, 267, 2523, 607, 596, 2253, 547, 1020, 707, 5888, 1983, 563, 2252, 1991, 547, 707, 3932, 596, 723, 711, 2943, 6045, 519, 4644, 540, 707, 4681, 610, 952, 596, 616, 23312, 32366, 1947, 267, 946, 519, 1439, 540, 707, 1957, 547, 1039, 707, 2798, 909, 267, 547, 2491, 741, 4644, 269, 4692, 596, 946, 596, 538, 606, 1557, 1603, 606, 2606, 5037, 585, 513, 10388, 1557, 1184, 1557, 593, 875, 547, 1118, 6960, 625, 4214, 540, 513, 5098, 538, 606, 1557, 476, 275, 628, 6185, 788, 2056, 593, 707, 1888, 596, 949, 1616, 547, 7048, 593, 519, 3621, 1867, 2511, 610, 3332, 20136, 568, 596, 28277, 909, 707, 1957, 543, 11744, 513, 2565, 25759, 2219, 563, 22512, 518, 3194, 7433, 20895, 269, 2328, 513, 1382, 1957, 593, 519, 1482, 20136, 1826, 540, 7084, 568, 3810, 3730, 585, 1053, 267, 952, 17411, 538, 519, 1318, 6073, 269, 5445, 1683, 2497, 865, 602, 519, 2093, 543, 4555, 2095, 25401, 543, 1628, 2509, 513, 2178, 3932, 563, 2005, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 11783, 7291, 6645, 519, 5467, 602, 713, 1957, 786, 6993, 1434, 2165, 1957, 7291, 1058, 723, 519, 1739, 5311, 543, 9115, 547, 2328, 513, 2165, 1957, 563, 6717, 3008, 301, 281, 1215, 547, 3503, 513, 19396, 3194, 7433, 29613, 958, 267, 596, 1058, 1246, 519, 2185, 10372, 4843, 1934, 547, 1711, 606, 2500, 7291, 563, 1692, 547, 3503, 12910, 14430, 910, 23397, 5055, 2304, 16122, 840, 8586, 5578, 568, 547, 2328, 606, 7291, 585, 606, 1557, 1991, 547, 2047, 4098, 519, 1557, 20136, 2985, 8638, 930, 540, 519, 5933, 3238, 538, 1603, 513, 5399, 2861, 1382, 1957, 269, 2691, 1313, 6955, 599, 568, 13087, 267, 513, 6700, 3381, 786, 8850, 1404, 1985, 563, 10932, 7433, 13832, 910, 634, 28024, 13987, 281, 5675, 606, 1557, 4462, 1652, 707, 4116, 6499, 513, 476, 276, 5037, 1557, 630, 534, 2606, 563, 28350, 7433, 20895, 1923, 1215, 1677, 5269, 12910, 7433, 20895, 2791, 1058, 2141, 1118, 606, 7291, 540, 1018, 596, 1544, 547, 2328, 1256, 952, 596, 616, 1603, 519, 1557, 593, 513, 1449, 563, 1692, 547, 3503, 513, 6713, 610, 1215, 268, 2414, 4828, 910, 23539, 10870, 454, 3080, 8945, 547, 28976, 519, 1603, 1184, 568, 6616, 875, 547, 1711, 606, 9950, 1087, 599, 14592, 1683, 519, 22403, 267, 519, 11953, 7633, 267, 593, 799, 596, 666, 1628, 707, 1603, 15030, 3876, 513, 1686, 1957, 568, 513, 1184, 269, 30633, 606, 7291, 540, 707, 1957, 563, 1692, 547, 2328, 4798, 543, 2474, 4574, 269, 32008, 1530, 3315, 7732, 3627, 20289, 5441, 540, 22518, 10456, 476, 279, 4200, 476, 1015, 628, 22971, 11783, 13625, 3898, 1383, 269, 1677, 1397, 596, 875, 547, 2328, 606, 1557, 7291, 267, 1934, 568, 606, 1383, 540, 519, 3898, 269, 476, 273, 269, 3963, 594, 993, 1603, 1957, 15545, 7212, 713, 1592, 5267, 602, 972, 568, 513, 2241, 267, 5276, 1184, 547, 1603, 971, 513, 1957, 267, 519, 4890, 1184, 540, 1603, 513, 1382, 1957, 568, 1419, 513, 30255, 543, 25276, 835, 267, 865, 5225, 946, 713, 7291, 607, 513, 8465, 3391, 7868, 3483, 540, 606, 7291, 610, 6516, 568, 547, 2322, 707, 2093, 827, 519, 1888, 593, 1957, 267, 538, 513, 26815, 6896, 3898, 563, 1692, 547, 3503, 513, 14484, 633, 4828, 20895, 286, 910, 4828, 15368, 923, 2304, 7291, 568, 5921, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2115, 1454, 1732, 269, 5556, 17894, 267, 596, 4312, 1175, 4810, 909, 18522, 256, 5455, 18522, 1797, 8716, 5561, 547, 2015, 11449, 513, 2362, 1790, 878, 539, 6221, 982, 7620, 5497, 269, 24371, 1419, 2709, 3606, 2640, 267, 971, 607, 6905, 15549, 625, 610, 1863, 11288, 267, 950, 3843, 547, 22010, 741, 5561, 262, 5079, 780, 4131, 781, 1413, 693, 875, 1312, 12485, 960, 1927, 281, 14597, 596, 8385, 9709, 547, 6108, 1269, 1911, 593, 513, 2834, 11332, 269, 1717, 267, 1310, 7487, 519, 3773, 17960, 543, 6217, 827, 519, 829, 802, 540, 3478, 519, 4359, 2203, 267, 596, 6430, 547, 979, 585, 519, 1269, 1220, 1642, 5060, 324, 10189, 4308, 269, 2334, 781, 1018, 2306, 909, 18522, 543, 3444, 5498, 29818, 3532, 2645, 585, 4213, 910, 789, 2333, 8907, 543, 1711, 18668, 5561, 2439, 4913, 267, 972, 781, 513, 5386, 1899, 1063, 5363, 10372, 543, 1373, 10669, 1506, 269, 21988, 3549, 1174, 602, 2679, 3972, 998, 9758, 7840, 4422, 513, 1279, 1259, 2509, 1818, 10121, 7218, 269, 1306, 5260, 11803, 6800, 267, 2141, 3314, 602, 6031, 1412, 7224, 262, 568, 15502, 282, 1152, 3442, 1018, 5963, 8591, 1871, 547, 707, 16306, 780, 1103, 3932, 267, 649, 4126, 1565, 827, 909, 18522, 543, 3444, 5498, 29818, 5795, 596, 4030, 883, 875, 4213, 7500, 3297, 519, 10207, 269, 5457, 267, 1985, 942, 596, 5873, 2576, 2303, 1945, 2059, 519, 3515, 540, 834, 30524, 596, 899, 535, 1845, 609, 602, 8119, 610, 834, 10472, 15291, 849, 2501, 609, 513, 14167, 15549, 344, 2437, 596, 1631, 917, 4010, 1018, 789, 2811, 3257, 269, 8414, 10918, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24375, 609, 19255, 1518, 676, 9001, 922, 3355, 13319, 267, 799, 2488, 513, 5360, 21747, 4693, 585, 476, 274, 2395, 269, 11374, 519, 4693, 1974, 267, 596, 3580, 2154, 547, 9337, 547, 513, 6976, 1544, 547, 3136, 1210, 19255, 1518, 779, 2533, 563, 763, 9208, 4640, 13071, 596, 3132, 707, 1378, 2228, 6300, 547, 2344, 543, 6133, 707, 2472, 543, 2533, 269, 17292, 707, 6300, 6249, 543, 3715, 513, 3896, 602, 1655, 13292, 707, 2754, 4170, 269, 2060, 519, 9978, 4640, 267, 596, 666, 6966, 1079, 2043, 547, 707, 2099, 4558, 2744, 1569, 547, 543, 2359, 563, 763, 2073, 476, 1839, 3923, 3562, 18881, 13927, 630, 604, 536, 2683, 12422, 264, 585, 519, 9208, 1544, 13071, 596, 6133, 3970, 1652, 2472, 267, 1498, 596, 3580, 798, 865, 693, 513, 1507, 1942, 2721, 3724, 267, 607, 519, 13258, 585, 5491, 3556, 4393, 3842, 19255, 1518, 9796, 906, 568, 5207, 593, 519, 9978, 1544, 563, 763, 9208, 1544, 568, 4998, 585, 1346, 945, 616, 1175, 4358, 543, 723, 711, 3964, 513, 2178, 6455, 2773, 1686, 269, 9978, 3947, 596, 1034, 540, 519, 3252, 596, 3580, 1205, 538, 519, 2362, 2389, 1512, 2994, 693, 513, 2557, 11090, 602, 779, 14320, 811, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10000, 18522, 543, 9061, 4149, 2454, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19833, 1299, 590, 2454, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 1247, 1394, 267, 594, 1336, 8885, 29957, 998, 606, 2228, 8468, 267, 3843, 547, 6146, 930, 942, 1354, 1250, 1985, 5870, 269, 1306, 606, 4056, 267, 594, 4312, 2141, 1044, 19832, 676, 13395, 6080, 543, 741, 6418, 25029, 267, 865, 950, 594, 16686, 2390, 513, 8142, 6998, 827, 519, 1297, 540, 6189, 10909, 538, 519, 2475, 267, 594, 7948, 1405, 5706, 16403, 532, 538, 269, 2991, 4687, 930, 5796, 593, 875, 547, 1265, 1463, 1559, 630, 3286, 2307, 513, 5363, 2937, 610, 3643, 707, 2199, 5399, 256, 1070, 594, 8068, 1776, 2243, 1185, 9575, 519, 3007, 540, 8284, 3755, 1107, 835, 7282, 519, 9228, 3668, 540, 2518, 2962, 1996, 5771, 3379, 547, 25399, 780, 2026, 606, 19366, 689, 513, 15866, 7332, 2197, 267, 594, 5433, 25997, 547, 2709, 1250, 5133, 269, 1411, 1294, 267, 594, 8057, 909, 11303, 676, 3638, 2686, 5389, 267, 7524, 2950, 267, 543, 9811, 267, 1256, 3909, 17119, 1235, 269, 1809, 2489, 1944, 606, 3003, 3661, 1062, 1759, 593, 519, 3527, 540, 922, 9097, 535, 16206, 1131, 581, 899, 6031, 782, 4892, 2648, 3728, 1426, 543, 15963, 269, 898, 3274, 3884, 1405, 3020, 780, 296, 27416, 513, 4090, 1282, 2852, 950, 594, 8678, 513, 1353, 13383, 1982, 538, 2342, 269, 661, 4526, 547, 1451, 811, 827, 5375, 6189, 267, 594, 6743, 4464, 547, 3695, 11599, 5656, 543, 7234, 1374, 24866, 609, 9905, 689, 1472, 519, 8608, 269, 1717, 267, 1919, 3576, 606, 13943, 2490, 1310, 15032, 4362, 1250, 4282, 269, 2368, 10924, 594, 6462, 18483, 1813, 547, 2923, 28402, 540, 10795, 17119, 1235, 19101, 547, 957, 538, 519, 2012, 540, 5771, 269, 901, 13429, 2813, 8082, 1369, 938, 2899, 9395, 10275, 27848, 1895, 267, 1818, 621, 2352, 585, 721, 547, 1921, 936, 938, 3838, 6612, 585, 6189, 780, 291, 17827, 547, 8115, 519, 7941, 1063, 4529, 267, 594, 14376, 3025, 547, 7390, 513, 2757, 952, 30198, 12129, 1282, 30782, 269, 1284, 10356, 896, 519, 3636, 16657, 540, 5569, 8279, 8288, 2066, 1250, 19887, 1273, 1470, 267, 8840, 3694, 1927, 607, 649, 5941, 3388, 689, 9099, 1148, 547, 4264, 2679, 2853, 269, 3733, 15032, 941, 14281, 547, 3605, 519, 5898, 543, 3178, 3297, 513, 5132, 1419, 3765, 21323, 538, 13416, 2923, 269, 1635, 519, 1439, 540, 519, 10543, 267, 17409, 16079, 539, 998, 519, 3781, 2011, 267, 2144, 2084, 1022, 29886, 11552, 848, 1851, 721, 780, 8269, 22162, 593, 713, 1995, 6026, 803, 602, 2069, 543, 1930, 5188, 666, 7006, 601, 22293, 543, 6536, 9322, 269, 5502, 540, 2519, 593, 3604, 267, 649, 1590, 8661, 1018, 25907, 721, 1927, 1107, 7279, 267, 5876, 267, 543, 513, 7287, 547, 2087, 519, 1158, 1472, 721, 269, 6787, 621, 781, 6189, 610, 4984, 267, 8508, 4763, 2636, 721, 547, 10802, 938, 2729, 543, 4228, 938, 20030, 3564, 1018, 649, 1223, 2479, 4952, 4805, 269, 1656, 3006, 267, 782, 621, 3217, 568, 606, 27592, 547, 2736, 3694, 1927, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1082, 6189, 10909, 616, 972, 538, 519, 2475, 267, 1141, 666, 594, 1265, 513, 1434, 15682, 888, 3963, 568, 972, 1100, 4745, 4674, 676, 519, 1158, 2146, 547, 14710, 5771, 607, 972, 729, 585, 4004, 1143, 286, 5771, 791, 5142, 976, 2021, 267, 30001, 4708, 267, 5932, 5208, 454, 25898, 596, 2161, 602, 891, 2055, 616, 519, 1482, 888, 2704, 2431, 267, 1577, 803, 2491, 713, 538, 513, 2241, 1259, 780, 272, 269, 634, 1297, 540, 6189, 10909, 538, 519, 2475, 666, 1689, 267, 855, 972, 616, 5215, 540, 873, 269, 1280, 513, 15682, 267, 596, 666, 2307, 513, 6738, 5346, 547, 948, 596, 3406, 585, 834, 1105, 3538, 675, 10909, 15682, 257, 593, 519, 5769, 610, 1413, 585, 513, 1592, 693, 707, 2199, 5399, 269, 1358, 723, 1082, 2835, 543, 2200, 547, 948, 596, 1265, 519, 1344, 596, 991, 780, 273, 269, 634, 1158, 2146, 3085, 1405, 960, 1996, 513, 2898, 4984, 899, 5771, 1317, 711, 782, 1004, 945, 1246, 5771, 723, 519, 1482, 4978, 610, 3527, 269, 4658, 945, 1246, 5771, 267, 610, 12356, 267, 666, 581, 2186, 267, 9543, 267, 543, 3494, 538, 4708, 1932, 269, 3807, 899, 1022, 824, 1895, 540, 1004, 267, 972, 616, 1312, 1434, 543, 3983, 2043, 269, 634, 1158, 2146, 1058, 960, 547, 326, 996, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 4197, 3776, 2383, 543, 11524, 281, 25925, 267, 32185, 267, 543, 17583, 692, 5970, 596, 2479, 8068, 875, 930, 1004, 3100, 547, 723, 6266, 540, 2828, 267, 1247, 1866, 1265, 621, 9875, 547, 1921, 609, 1866, 286, 2107, 6148, 596, 4312, 4862, 2576, 1373, 4330, 607, 834, 2041, 2246, 3814, 257, 610, 834, 327, 1343, 727, 2437, 1247, 1776, 1268, 1522, 581, 1572, 834, 684, 3430, 847, 633, 22172, 1215, 649, 1294, 6000, 543, 1866, 267, 1519, 938, 2168, 23079, 267, 4249, 513, 1713, 1909, 538, 875, 649, 2170, 609, 519, 1158, 1472, 721, 269, 2913, 781, 4685, 4514, 883, 713, 10578, 1888, 2439, 4089, 476, 272, 281, 1548, 24439, 25126, 5900, 847, 633, 2496, 16920, 847, 4369, 3884, 1405, 1152, 827, 2348, 513, 7168, 3068, 610, 513, 16757, 1560, 269, 898, 849, 2882, 1919, 899, 11587, 267, 9644, 267, 6015, 267, 543, 4987, 269, 1717, 267, 950, 1082, 1004, 1589, 540, 4482, 4369, 267, 789, 5097, 1445, 593, 2168, 2934, 971, 607, 11132, 15340, 267, 4463, 267, 2597, 267, 543, 7802, 2511, 269, 1452, 2188, 666, 3310, 875, 649, 13498, 2576, 781, 2949, 4482, 4369, 780, 7078, 281, 5994, 1079, 15032, 1107, 835, 945, 2141, 6067, 1115, 596, 27145, 267, 12134, 827, 707, 1554, 267, 543, 2337, 596, 950, 596, 991, 621, 630, 11779, 1145, 1070, 543, 1776, 945, 18015, 24668, 602, 1118, 3025, 14902, 630, 21065, 528, 1040, 5637, 2043, 4865, 7907, 602, 3565, 547, 741, 4482, 4369, 3564, 1175, 741, 2168, 5920, 780, 4089, 476, 273, 281, 5980, 781, 10020, 538, 20223, 5900, 847, 4369, 692, 306, 1539, 1214, 814, 1978, 4441, 585, 5898, 267, 799, 666, 4268, 2066, 4529, 543, 942, 5712, 269, 1280, 1383, 267, 538, 3504, 3624, 267, 2021, 3808, 741, 3952, 17401, 547, 3035, 513, 14909, 1507, 3723, 2450, 269, 4653, 267, 2705, 267, 1034, 1004, 1131, 2015, 3723, 11006, 11213, 543, 5739, 2864, 982, 4190, 269, 9012, 19093, 899, 7641, 2982, 267, 9413, 267, 17476, 267, 543, 1514, 2923, 5867, 1419, 12927, 891, 6848, 8155, 676, 10023, 1004, 945, 3514, 1369, 1808, 5898, 4441, 269, 1306, 513, 1267, 267, 649, 949, 1016, 4621, 19290, 4835, 1125, 891, 16431, 543, 946, 873, 547, 9794, 1866, 543, 1256, 6000, 780, 12244, 281, 11814, 2592, 689, 1585, 2959, 630, 6758, 267, 1514, 2923, 267, 3092, 4700, 15386, 1114, 2010, 540, 1004, 269, 9181, 607, 513, 1362, 2436, 972, 616, 1022, 1455, 4798, 3823, 1018, 2306, 1142, 3239, 781, 5396, 834, 3430, 847, 633, 2668, 14484, 593, 1946, 1346, 1880, 7592, 616, 2808, 13267, 543, 875, 6848, 6788, 1522, 1404, 513, 851, 538, 5935, 891, 5784, 780, 4089, 476, 274, 281, 8177, 540, 5900, 847, 4369, 593, 3776, 22032, 692, 5978, 1377, 540, 9228, 4482, 4369, 666, 1860, 1896, 3344, 540, 938, 2729, 267, 1519, 1582, 12635, 267, 4081, 2773, 267, 4876, 16548, 267, 543, 14375, 3347, 269, 3194, 5267, 602, 10694, 2043, 4043, 547, 4309, 1732, 9344, 267, 3489, 2362, 1790, 11691, 6009, 267, 543, 4196, 10156, 7890, 5220, 3379, 547, 1447, 10694, 13413, 269, 5015, 267, 10694, 1004, 3622, 1995, 811, 2318, 4205, 543, 1106, 4296, 811, 3362, 1813, 547, 6848, 9186, 7957, 1681, 1434, 23302, 2043, 780, 4913, 267, 621, 781, 1898, 547, 3314, 602, 2519, 9003, 593, 2168, 5920, 7182, 938, 1620, 540, 3020, 5898, 543, 1367, 4502, 269, 15526, 19262, 2463, 267, 8296, 267, 543, 11505, 7488, 540, 741, 5654, 269, 5047, 267, 2324, 593, 3384, 6418, 7907, 971, 607, 6568, 267, 6043, 267, 543, 5876, 786, 948, 6536, 6209, 4296, 2429, 938, 2729, 780, 1103, 3932, 267, 1620, 875, 5898 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4122, 1265, 538, 1382, 1570, 269, 634, 1101, 835, 568, 602, 621, 814, 16995, 1344, 538, 621, 543, 519, 2034, 835, 568, 602, 621, 568, 5918, 6088, 689, 1776, 2707, 269, 1411, 666, 3362, 2638, 519, 13597, 540, 519, 1344, 676, 9236, 621, 609, 513, 1906, 1283, 2164, 269, 1306, 585, 519, 5918, 6473, 3390, 267, 596, 666, 946, 519, 2228, 17096, 2638, 518, 2645, 269, 1452, 2645, 666, 3362, 948, 596, 13182, 519, 2707, 543, 2995, 596, 2436, 621, 814, 17096, 538, 621, 610, 711, 2336, 268, 1234, 569, 593, 2789, 2200, 3079, 540, 16116, 835, 454, 1103, 2376, 1603, 267, 596, 723, 547, 1118, 2386, 602, 596, 1810, 1406, 4584, 835, 4199, 607, 513, 4704, 269, 1403, 596, 798, 865, 267, 596, 666, 723, 10486, 1063, 707, 960, 543, 519, 3312, 2022, 269, 901, 568, 1946, 596, 991, 547, 4584, 2789, 2959, 543, 1711, 606, 2376, 1759, 593, 5013, 543, 1344, 689, 1114, 2200, 269, 1403, 596, 1810, 1406, 1265, 2789, 2200, 593, 519, 1357, 543, 723, 547, 6529, 609, 835, 267, 519, 1655, 1259, 547, 2057, 17096, 568, 676, 22950, 337, 2084, 2645, 269, 9137, 8095, 2996, 899, 519, 27682, 575, 15843, 666, 948, 596, 1711, 2189, 543, 28505, 1543, 1256, 952, 621, 568, 1759, 593, 835, 4704, 2376, 563, 268, 13669, 802, 547, 1004, 602, 723, 6791, 538, 519, 13395, 454, 5194, 1455, 1259, 540, 15388, 543, 3478, 1344, 827, 606, 2376, 1888, 568, 676, 8220, 609, 4966, 538, 519, 2361, 269, 1635, 7234, 519, 1888, 609, 4966, 267, 596, 666, 1205, 3407, 1344, 602, 596, 3112, 1256, 1265, 593, 519, 1357, 269, 1411, 1590, 4063, 1524, 782, 519, 1883, 2798, 602, 596, 723, 27366, 689, 519, 4966, 269, 6884, 8391, 1101, 11804, 1344, 666, 581, 1732, 982, 513, 2178, 5616, 3406, 563, 268, 2422, 2228, 1382, 2645, 454, 1607, 568, 1776, 1259, 540, 3478, 707, 1382, 960, 2944, 543, 9494, 513, 2603, 540, 942, 543, 4674, 538, 519, 1184, 269, 1411, 666, 946, 2645, 899, 7736, 16694, 267, 799, 666, 948, 596, 1205, 1344, 593, 782, 5686, 540, 3584, 269, 1411, 991, 547, 4283, 519, 1888, 610, 519, 17161, 596, 1616, 547, 946, 538, 519, 2376, 269, 1411, 666, 3362, 1205, 7899, 540, 1344, 609, 1697, 8100, 269, 3194, 2645, 666, 849, 4001, 596, 875, 547, 13712, 707, 8100, 799, 616, 1360, 1271, 950, 2870, 4930, 1759, 593, 1382, 563, 3674, 972, 513, 1259, 547, 1711, 4930, 1510, 1382, 960, 888, 10932, 960, 666, 1491, 513, 2603, 540, 707, 942, 543, 568, 1360, 1454, 512, 3931, 269, 1411, 1522, 581, 3206, 602, 621, 568, 7543, 547, 1711, 2189, 4930, 1510, 1697, 1382, 269, 4653, 267, 2413, 2029, 814, 1500, 621, 4443, 585, 3025, 547, 1711, 4195, 4930, 1510, 1382, 960, 563, 9213, 596, 666, 946, 2228, 2376, 556, 23116, 2645, 267, 799, 616, 849, 1634, 607, 2376, 8095, 1676, 2645, 269, 1411, 723, 547, 4283, 519, 4704, 4930, 538, 519, 3403, 4216, 540, 519, 2376, 8095, 1676, 543, 2046, 519, 2048, 4944, 514, 7735, 10200, 769, 513, 2339, 540, 7643, 267, 596, 1131, 1205, 513, 2189, 543, 1434, 7779, 2376, 269, 4635, 22950, 337, 2084, 1907, 666, 948, 596, 4688, 513, 2603, 540, 942, 543, 4674, 538, 1382, 543, 8261, 1543, 5137, 563, 3383, 952, 596, 1810, 1406, 1616, 547, 798, 1382, 960, 543, 8261, 1603, 267, 596, 723, 2141, 1185, 513, 4023, 8929, 693, 22950, 337, 2084, 256, 0, 19868, 545, 568, 1271, 1317, 621, 7506, 1169, 3375, 649, 1118, 538, 938, 2729, 269, 8298, 673, 3206, 2636, 721, 547, 1451, 543, 1118, 3664, 602, 786, 1860, 938, 6197, 269, 1403, 1100, 835, 2219, 25401, 267, 649, 1131, 782, 581, 4881, 1472, 899, 17944, 609, 938, 9843, 2759, 1055, 267, 543, 4986, 1131, 1118, 1022, 2631, 563, 268, 476, 272, 1548, 568, 519, 1271, 540, 7954, 538, 938, 3232, 1272, 888, 268, 476, 273, 1772, 7954, 10858, 538, 707, 1554, 547, 1554, 1272, 888, 268, 476, 274, 1548, 568, 7954, 543, 922, 2956, 888, 268, 476, 275, 1548, 568, 519, 2956, 540, 7954, 547, 1053, 888, 268, 476, 276, 1548, 568, 519, 2956, 540, 7954, 538, 1870, 888, 268, 476, 277, 1215, 786, 596, 4019, 7954, 538, 1483, 1272, 3871, 888, 268, 476, 278, 1548, 568, 513, 9266, 3206, 1268, 888, 268, 476, 279, 4208, 568, 7954, 1271, 538, 3375, 1818, 888, 268, 476, 280, 1215, 798, 596, 1589, 9266, 888, 268, 476, 1015, 1772, 7954, 513, 5578, 888, 268, 476, 1556, 1548, 568, 606, 1383, 540, 9266, 888, 268, 476, 1321, 1548, 568, 7954, 538, 1272, 888, 268, 476, 1724, 1772, 7954, 2141, 1318, 888, 268, 476, 1691, 1548, 568, 9266, 2631, 888, 268, 476, 1428, 2052, 596, 1451, 7954, 888, 268, 476, 1626, 1215, 666, 594, 581, 9266, 782, 519, 942, 888, 268, 476, 1704, 1215, 666, 594, 581, 1434, 693, 9266, 7744, 888, 268, 476, 1240, 1548, 568, 7954, 538, 606, 1557, 888, 268, 476, 866, 1548, 568, 7954, 2241, 888, 268, 476, 736, 1215, 798, 596, 2491, 7954, 547, 513, 1126, 888, 1432, 568, 519, 1271, 540, 7954, 538, 938, 3232, 1272, 888, 2005, 2488, 513, 1259, 585, 721, 547, 1451, 689, 1007, 2833, 998, 519, 1184, 540, 31934, 1582, 12431, 20156, 269, 11879, 3206, 267, 1287, 267, 6087, 721, 547, 1106, 3280, 4978, 543, 21520, 267, 543, 538, 3257, 865, 267, 2488, 721, 609, 513, 4493, 585, 513, 2048, 16884, 543, 10257, 685, 3929, 1272, 563, 3674, 7954, 10858, 538, 707, 1554, 547, 1554, 1272, 888, 19868, 545, 568, 606, 1271, 1858, 540, 1353, 799, 666, 581, 4294, 538, 938, 1554, 547, 1554, 1272, 2238, 269, 1924, 621, 568, 4023, 2614, 547, 798, 606, 2962, 1382, 593, 606, 3498, 540, 9266, 563, 1432, 568, 7954, 543, 922, 2956, 286, 19868, 545, 568, 519, 2257, 540, 875, 547, 6218, 7440, 543, 7744, 269, 2560, 901, 568, 1271, 1317, 3006, 1004, 1810, 1406, 8275, 602, 1018, 4992, 10257, 3884, 1406, 8209, 9266, 269, 901, 7744, 1184, 1765, 6748, 21246, 1023, 540, 7954, 538, 707, 7744, 267, 3206, 267, 543, 7440, 28934, 2565, 547, 519, 2259, 540, 6138, 563, 1432, 568, 519, 2956, 540, 7954, 547, 1053, 888, 5575, 267, 7954, 16877, 543, 6087, 1053, 609, 519, 2702, 547, 1491, 1018, 1344, 789, 616, 2016, 543, 1628, 2390, 621, 269, 5822, 267, 621, 568, 519, 22294, 540, 2979, 269, 14936, 267, 9266, 7744, 7512, 1053, 547, 1589, 585, 2933, 267, 4603, 267, 543, 1256, 2307, 519, 2462, 267, 856, 6361, 7308, 1532, 2135, 2055, 563, 1432, 568, 519, 2956, 540, 7954, 538, 1870, 888, 19968, 7954, 11887, 875, 1239, 949, 581, 3254, 267, 6740, 267, 2813, 267, 543, 12012, 269, 898, 2488, 513, 1062, 540, 3652, 602, 10274, 875, 1870, 3615, 630, 30672, 540, 3301, 602, 1852, 875, 1239, 568, 16487, 264, 960, 609, 835, 1776, 269, 6355, 7954, 849, 10274, 875, 1870, 3615, 1369, 3301, 616, 15600, 543, 8242, 563, 1692, 786, 596, 4019, 7954, 538, 1483, 1272, 3871, 888, 268, 20031, 2478, 281, 21208, 7288, 4718, 513, 3109, 3032, 593, 1200, 1259, 547, 960, 269, 2311, 960, 267, 21208, 7288, 3893, 17991, 269, 10390, 281, 4563, 7314, 616, 3983, 9939, 269, 6693, 268, 20031, 2478, 281, 1703, 568, 1100, 2963, 602, 4050, 27957, 568, 3983, 585, 596, 269, 594, 946, 4050, 27957, 1510, 1022, 2042, 269, 6693, 268, 20031, 2478, 281, 3733, 3158, 568, 513, 28910, 269, 594, 2661, 609, 1250, 3158, 563, 1432, 568, 513, 9266, 3206, 1268, 286, 299, 16479, 17024, 7747, 543, 5659, 9259, 267, 6547, 267, 543, 5955, 543, 1287, 2721, 8753, 1759, 593, 602, 3403, 269, 2560, 8298, 673, 17024, 1810, 1406, 979, 609, 741, 8937, 610, 1020, 513, 4640, 1317, 621, 968, 10623, 1564, 1318, 1848, 8298, 673, 3206, 849, 3340, 5587, 4328, 10054, 543, 4259, 11735, 12886, 267, 607, 2484, 607, 2009, 563, 3963, 568, 7954, 1271, 538, 3375, 1818, 888, 21430, 23801, 543, 2500, 1870, 3664, 568, 2352, 269, 1879, 649, 946, 7954, 267, 649, 946, 7787, 7744, 538, 1931, 547, 1118, 513, 4570, 4661, 269, 20603, 568, 513, 1907, 649, 666, 946, 547, 948, 721, 1118, 1732, 1870, 3664, 269, 667, 9254, 21063, 267, 19585, 267, 543, 31602, 7744, 616, 9266, 3157, 602, 948, 721, 1020, 4570, 7440, 23130, 568, 513, 9266, 1268, 888, 288, 9266, 1268, 3096, 5730, 1893, 865, 602, 1010, 26575, 6487, 4010, 1018, 646, 568, 6158, 827, 543, 666, 18113, 6218, 519, 5168, 540, 1010, 6811, 269, 1403, 646, 4016, 547, 811, 1950, 2474, 971, 607, 968, 325, 516, 4520, 892, 610, 968, 3225, 1275, 2223, 646, 2306, 2386, 547, 3715, 1010, 1880, 1620, 540, 1346, 2474, 6993, 4135, 1834, 1101, 942, 3370, 593, 6998, 1492, 14309, 2593, 270, 6343, 28104, 7308, 268, 5814, 766, 6361, 2000, 690, 545, 2987, 268, 712, 1673, 2905, 3734, 13045, 1692, 798, 596, 1589, 9266, 888, 268, 6875, 942, 547, 2259, 707, 2702, 547, 1589, 25401, 269, 6693, 268, 5192, 5432, 609, 519, 1114, 5686, 540, 9266, 7744, 269, 6693, 268, 5901, 707, 4664, 856, 540, 621, 269, 6693, 268, 5700, 1018, 707, 3804, 568, 563, 3674, 7954, 513, 5578, 888, 299, 16479, 3206, 568, 606, 1898, 5578, 602, 1169, 1126, 1590, 723, 543, 2087, 269, 2560, 8298, 673, 3206, 568, 519, 2702, 547, 1118, 513, 7787, 3932, 676, 7421, 513, 3510, 269, 4270, 31465, 9266, 3206, 1983, 849, 3895, 10763, 3206, 267, 7744, 267, 6128, 267, 1966, 9010, 267, 543, 1082, 824, 1983, 563, 1432, 568, 606, 1383, 540, 9266, 888, 763, 4214, 540, 7954, 568, 513, 2257, 602, 2090, 519, 3741, 540, 2953, 7744, 269, 1323, 1383, 540, 7954, 568, 4142, 24976, 602, 1079, 18408, 17538, 513, 3791, 5168, 269, 1323, 1383, 540, 7954, 568, 519, 1184, 540, 4947, 547, 519, 3932, 540, 945, 588, 1961, 513, 23739, 1759, 593, 945, 729, 538, 519, 4055, 693, 519, 942, 269, 8298, 673, 563, 1432, 568, 7954, 538, 1272, 888, 763, 7954, 1031, 547, 2491, 28986, 540, 4948, 1272, 267, 3206, 25401, 2337, 812, 547, 2243, 519, 8647, 540, 3388, 1472, 721, 267, 519, 7954, 1031, 547, 8044, 543, 568, 11214, 513, 2219, 606, 2856, 602, 7506, 721, 585, 606, 2962, 649, 798, 538, 938, 3232, 2729, 563, 3674, 7954, 2141, 1318, 888, 9989, 20603, 11408, 4518, 286, 20603, 568, 513, 1360, 2500, 1907, 585, 7479, 8172, 606, 5304, 827, 519, 6111, 540, 606, 4661, 269, 1717, 267, 1004, 616, 711, 2141, 7479, 12184, 676, 7954, 269, 6884, 9458, 616, 711, 7479, 12184, 1317, 789, 723, 1031, 2418, 610, 4664, 3079, 540, 7954, 547, 3914, 8753, 563, 1432, 568, 9266, 2631, 888, 272, 11341, 547, 267, 1031, 538, 267, 610, 8984, 540, 7954, 269, 476, 273, 1210, 267, 2687, 547, 267, 610, 17429, 1027, 689, 519, 3741, 540, 7954, 269, 513, 9266, 3932, 269, 476, 274, 5827, 540, 610, 6353, 676, 2312, 610, 4570, 7744, 269, 476, 275, 10257, 610, 2556, 1317, 540, 5013, 267, 2621, 267, 3092, 563, 4692, 596, 1451, 7954, 888, 299, 16479, 15154, 1772, 3502, 606, 769, 9799, 13669, 550, 267, 1809, 23985, 1411, 2052, 6258, 543, 6657, 269, 31514, 9266, 7744, 568, 3274, 1565, 547, 2628, 513, 6251, 3007, 547, 3877, 269, 4475, 267, 972, 616, 513, 1906, 2653, 2553, 547, 948, 596, 7753, 3206, 9465, 543, 2731, 1445, 563, 1692, 666, 594, 581, 9266, 782, 519, 942, 888, 268, 6258, 547, 1404, 7405, 563, 268, 6258, 547, 2721, 610, 5862, 563, 268, 6258, 547, 3717, 513, 4914, 1893, 563, 268, 6258, 547, 3434, 563, 1692, 666, 594, 581, 1434, 693, 9266, 7744, 888, 268, 476, 272, 264, 8347, 547, 16174, 1063, 9866, 3569, 543, 5606, 3720, 281, 6693, 268, 476, 273, 264, 5269, 9266, 8753, 676, 3206, 538, 19585, 6898, 269, 6693, 268, 476, 274, 264, 7591, 3556, 3756, 269, 6693, 268, 476, 275, 264, 3367, 11320, 2255, 12638, 13655, 269, 6693, 268, 476, 276, 264, 8347, 547, 21028, 3270, 269, 6693, 268, 476, 277, 264, 5620, 2596, 10763, 2418, 563, 1432, 568, 7954, 538, 606, 1557, 888, 19868, 545, 568, 513, 6101, 1062, 540, 2079, 602, 2337, 5830, 6427, 267, 6542, 267, 543, 6961, 7440, 269, 898, 1568, 676, 4152, 3981, 1431, 1996, 835, 1776, 547, 3313, 741, 6111, 563, 1432, 568, 7954, 2241, 888, 272, 2433, 513, 1697, 610, 10257, 1259, 540, 3206, 827, 1945, 2433, 3280, 7744, 269, 476, 273, 2433, 513, 2257, 602, 9388, 609, 519, 3652, 543, 3157, 1031, 538, 3280, 3206, 543, 7744, 269, 2859, 689, 8585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 1950, 2079, 910, 16602, 2243, 593, 18635, 780, 258, 272, 454, 4131, 535, 543, 575, 581, 3252, 609, 513, 15393, 693, 524, 269, 8073, 3652, 630, 663, 6961, 873, 264, 827, 875, 649, 666, 9192, 535, 543, 575, 693, 524, 780, 663, 13797, 281, 4855, 519, 18635, 540, 519, 1599, 23241, 663, 19665, 891, 18635, 1210, 851, 1775, 780, 296, 723, 13986, 713, 267, 855, 594, 1832, 3478, 18635, 540, 2942, 1931, 538, 851, 13797, 543, 1250, 1576, 15151, 3085, 1405, 1445, 593, 18635, 540, 2942, 1931, 865, 594, 1590, 723, 8854, 4636, 12341, 2336, 271, 454, 278, 1296, 3516, 454, 258, 273, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 4131, 535, 543, 575, 581, 3252, 609, 513, 15393, 693, 524, 269, 8073, 3652, 630, 663, 6961, 873, 264, 827, 875, 649, 666, 9192, 535, 543, 575, 693, 524, 780, 663, 13797, 281, 4855, 519, 18635, 540, 519, 1599, 23241, 663, 19665, 891, 18635, 1210, 851, 1775, 780, 296, 723, 13986, 713, 267, 855, 594, 1832, 3478, 18635, 540, 2942, 1931, 538, 851, 13797, 543, 1250, 1576, 15151, 3085, 1405, 1445, 593, 18635, 540, 2942, 1931, 865, 594, 1590, 723, 8854, 4636, 12341, 2336, 5970, 596, 3323, 676, 556, 8586, 28422, 1990, 815, 5430, 1990, 1315, 5609, 1990, 543, 5609, 273, 345, 815, 476, 273, 7562, 345, 6523, 345, 543, 28976, 888, 272, 454, 258, 274, 454, 263, 24314, 2022, 676, 546, 822, 4592, 994, 5970, 596, 3323, 676, 556, 8586, 28422, 1990, 815, 5430, 1990, 1315, 5609, 1990, 543, 5609, 273, 345, 815, 476, 273, 7562, 345, 6523, 345, 543, 28976, 888, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 271, 454, 278, 1296, 3516, 454, 258, 275, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 17764, 594, 6415, 2386, 621, 781, 834, 29729, 257, 547, 4228, 5609, 273, 345, 910, 594, 1175, 4043, 547, 27682, 1919, 538, 2474, 540, 834, 21353, 545, 257, 3252, 602, 1118, 1919, 630, 327, 2100, 2685, 264, 811, 12001, 2336, 271, 454, 278, 1296, 3516, 454, 258, 276, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 8133, 267, 602, 3961, 6585, 1256, 585, 1950, 1990, 269, 595, 766, 29818, 513, 5609, 689, 1283, 543, 5377, 568, 1175, 899, 1210, 1535, 3079, 540, 1535, 317, 273, 24474, 910, 621, 781, 1175, 607, 3656, 607, 602, 563, 271, 454, 311, 692, 2908, 9708, 454, 12988, 454, 1729, 1283, 454, 30238, 454, 7069, 16376, 692, 2162, 744, 3591, 267, 18864, 814, 11540, 514, 519, 2063, 1906, 3108, 780, 3963, 711, 556, 3613, 691, 519, 6643, 2496, 5408, 811, 692, 2162, 6423, 811, 540, 1018, 596, 899, 593, 763, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 2162, 15724, 692, 18794, 519, 4901, 692, 2971, 1215, 1705, 707, 589, 304, 288, 589, 7400, 8212, 7433, 476, 272, 981, 979, 2496, 15124, 256, 28214, 2318, 630, 15704, 994, 2764, 269, 11463, 14999, 2005, 4682, 9425, 1134, 630, 25240, 994, 5325, 269, 4510, 14999, 2005, 4769, 1405, 979, 1932, 1134, 630, 6507, 994, 1428, 269, 1626, 14999, 9898, 6020, 25770, 256, 630, 6246, 994, 279, 269, 5379, 260, 0, 1012, 634, 530, 335, 23343, 1529, 639, 692, 19865, 476, 1839, 269, 2913, 692, 290, 815, 1247, 2473, 271, 798, 692, 311, 281, 284, 311, 266, 272, 16963, 312, 281, 284, 312, 268, 273, 692, 617, 692, 29991, 519, 1871, 540, 16317, 11405, 269, 3689, 540, 782, 267, 649, 4019, 19748, 5733, 476, 7367, 543, 476, 7871, 585, 4466, 519, 4542, 16761, 269, 769, 1840, 267, 538, 1018, 5205, 649, 849, 1491, 883, 2272, 519, 1739, 3551, 3601, 540, 519, 530, 335, 23343, 1529, 639, 780, 4415, 713, 538, 1688, 267, 649, 666, 4228, 676, 19748, 5733, 476, 7367, 543, 476, 7871, 1384, 3528, 15632, 593, 1775, 649, 666, 6961, 519, 1739, 7862, 692, 25075, 3660, 1547, 4935, 267, 666, 581, 6074, 607, 519, 4617, 652, 26608, 1288, 540, 609, 2463, 547, 16317, 19865, 476, 2918, 269, 2913, 692, 290, 815, 1247, 962, 273, 333, 798, 692, 311, 281, 284, 311, 266, 312, 16963, 312, 281, 284, 312, 266, 273, 692, 617, 692, 29991, 3177, 519, 2418, 540, 2473, 543, 962, 616, 9981, 780, 11405, 780, 3528, 15632, 593, 1775, 649, 666, 6961, 602, 267, 952, 2073, 1287, 692, 25332, 2925, 267, 602, 267, 952, 2073, 1287, 962, 3587, 2942, 267, 855, 519, 1894, 609, 962, 543, 2473, 1869, 3180, 269, 9747, 10484, 19865, 476, 2767, 269, 2913, 692, 290, 815, 1247, 962, 798, 692, 313, 281, 284, 325, 263, 312, 264, 313, 16963, 312, 281, 284, 339, 263, 312, 2020, 617, 692, 29991, 16317, 11405, 780, 1103, 2489, 267, 649, 3489, 692, 25075, 3660, 1547, 4935, 267, 16317, 19865, 476, 2764, 269, 2913, 692, 290, 815, 1247, 962, 798, 692, 313, 281, 284, 313, 325, 263, 312, 264, 325, 263, 312, 32007, 312, 281, 284, 339, 263, 312, 2020, 617, 692, 29991, 16317, 11405, 269, 2913, 20301, 519, 2262, 2073, 952, 1547, 3973, 692, 3528, 15632, 593, 1775, 649, 3489, 692, 13295, 267, 1547, 0, 258, 4855, 519, 2040, 2040, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 2020, 3721, 676, 1900, 3070, 676, 4966, 547, 948, 596, 538, 8969, 24999, 1299, 18176, 5140, 7436, 538, 11400, 780, 24993, 2201, 281, 476, 2641, 268, 272, 268, 1708, 271, 692, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 1612, 536, 6062, 269, 8347, 621, 1631, 780, 7476, 8382, 547, 1022, 2243, 267, 1175, 4945, 513, 8666, 543, 14202, 519, 8666, 454, 663, 1205, 519, 2626, 4625, 1863, 2676, 306, 284, 1495, 619, 564, 263, 710, 329, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 4297, 284, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 9984, 1495, 619, 564, 9217, 284, 329, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 4297, 2999, 1962, 285, 815, 263, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 328, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 273, 22677, 329, 4297, 268, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 328, 264, 2999, 1962, 285, 815, 9230, 1015, 16282, 1556, 8358, 273, 7565, 263, 273, 263, 273, 22677, 1015, 9984, 272, 4297, 14370, 273, 268, 272, 4297, 268, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 16282, 273, 22677, 328, 264, 2999, 1962, 285, 2913, 590, 318, 263, 272, 6661, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 328, 264, 2999, 1962, 285, 4061, 306, 318, 263, 272, 6661, 272, 16282, 273, 266, 273, 16282, 273, 22677, 273, 11924, 274, 16282, 273, 22677, 274, 11924, 1862, 266, 1015, 16282, 273, 22677, 1015, 264, 2999, 1962, 285, 4061, 476, 273, 338, 318, 263, 272, 6661, 272, 16282, 273, 22677, 273, 11924, 273, 16282, 273, 22677, 274, 11924, 274, 16282, 273, 22677, 275, 11924, 1862, 266, 1015, 16282, 273, 22677, 1556, 264, 2999, 1962, 285, 16265, 24219, 267, 649, 1205, 2999, 1962, 285, 910, 306, 318, 263, 272, 6661, 263, 273, 266, 273, 22677, 273, 11924, 273, 22677, 274, 11924, 1862, 266, 273, 22677, 1015, 4297, 268, 1015, 16282, 273, 22677, 1556, 264, 2999, 1962, 285, 4061, 590, 318, 263, 272, 6661, 1015, 16282, 273, 22677, 1556, 9984, 273, 263, 273, 22677, 1015, 9984, 272, 6661, 280, 16282, 273, 22677, 1556, 11924, 273, 2999, 1962, 285, 4061, 306, 284, 8099, 16282, 263, 273, 22677, 1015, 9984, 272, 9984, 263, 280, 16282, 273, 22677, 1556, 11924, 273, 264, 2999, 1962, 285, 815, 276, 16282, 273, 22677, 1321, 9984, 10482, 0, 258, 5440, 1670, 2516, 281, 952, 1269, 288, 259, 568, 606, 1930, 15410, 540, 1269, 294, 8961, 1287, 1269, 288, 13064, 272, 4151, 568, 1930, 780, 4131, 3230, 294, 2330, 581, 513, 30490, 1895, 609, 1930, 15410, 3230, 288, 21974, 594, 1616, 547, 6961, 1360, 8499, 270, 2181, 322, 1047, 569, 602, 3230, 288, 13064, 272, 348, 281, 7807, 346, 320, 13064, 272, 348, 281, 320, 22174, 589, 315, 6525, 568, 849, 1930, 780, 11917, 16227, 519, 1883, 547, 713, 6169, 568, 519, 1249, 602, 519, 538, 11437, 4786, 6695, 12978, 281, 294, 315, 14075, 21375, 717, 2330, 568, 6024, 780, 11377, 12978, 281, 294, 315, 14075, 21375, 717, 2330, 568, 6024, 267, 865, 2094, 3230, 288, 315, 11357, 3553, 18091, 717, 2330, 568, 1930, 538, 3230, 294, 18079, 6695, 12978, 13064, 272, 12917, 288, 14638, 568, 1930, 538, 3230, 294, 2330, 630, 2421, 4214, 540, 30490, 15364, 6393, 11377, 12978, 13064, 272, 12917, 288, 14638, 5161, 540, 2609, 540, 519, 1106, 3230, 320, 13064, 272, 6525, 267, 865, 6695, 12978, 13064, 272, 12917, 288, 6661, 288, 13064, 272, 6525, 269, 901, 5654, 899, 649, 616, 2944, 780, 296, 1175, 1616, 547, 2638, 513, 1507, 1469, 281, 649, 1491, 3230, 288, 2330, 547, 581, 538, 519, 13798, 558, 664, 540, 6695, 12978, 18079, 799, 540, 1576, 568, 3230, 294, 18079, 855, 538, 1880, 267, 12582, 1405, 519, 2609, 540, 3230, 288, 2330, 581, 540, 519, 1106, 834, 514, 951, 525, 540, 930, 2609, 540, 3230, 294, 2330, 2580, 865, 3230, 288, 284, 289, 13064, 272, 6525, 585, 930, 1305, 3230, 289, 315, 11357, 3553, 18091, 717, 18079, 2161, 267, 543, 4061, 6695, 12978, 13064, 272, 12917, 288, 21174, 12978, 13064, 272, 12917, 289, 13064, 272, 348, 6661, 20719, 289, 13064, 272, 3686, 264, 13064, 272, 13157, 289, 18079, 1924, 649, 798, 711, 8209, 3489, 3230, 288, 13064, 272, 6525, 1394, 950, 649, 4019, 6695, 12978, 13064, 272, 6525, 267, 8259, 6695, 12978, 13064, 272, 6525, 568, 2965, 606, 11201, 540, 6695, 12978, 18079, 607, 10353, 547, 513, 840, 13548, 2496, 296, 1589, 594, 1522, 581, 3478, 11821, 1934, 269, 16393, 4896, 948, 12172, 593, 713, 2496, 12552, 692, 1892, 4399, 12978, 259, 568, 538, 3200, 1043, 2094, 1269, 294, 259, 568, 513, 1895, 267, 543, 538, 1249, 972, 781, 1360, 2370, 1448, 538, 6158, 827, 4399, 12978, 13064, 272, 4151, 2094, 538, 11437, 568, 606, 1594, 1081, 282, 4399, 12978, 13064, 272, 12917, 320, 264, 815, 1422, 12978, 5416, 30879, 3967, 476, 2641, 1412, 2641, 693, 476, 1240, 281, 4905, 454, 1892, 4399, 12978, 259, 568, 6024, 543, 922, 1378, 11201, 267, 4061, 621, 568, 606, 1753, 31532, 563, 1700, 1109, 331, 327, 325, 454, 13202, 476, 2420, 1412, 2641, 693, 476, 271, 281, 5392, 692, 2791, 2161, 834, 11377, 12978, 13064, 272, 12917, 288, 14638, 5161, 540, 2609, 540, 519, 1106, 3230, 320, 13064, 272, 6525, 257, 4534, 1946, 568, 713, 286, 2913, 781, 6961, 621, 563, 4131, 3230, 343, 1422, 514, 1422, 12978, 13064, 272, 12917, 288, 14638, 581, 17062, 269, 1635, 4214, 267, 3230, 343, 13064, 272, 348, 815, 1422, 12978, 3287, 264, 1422, 514, 589, 21974, 3973, 3230, 343, 815, 630, 343, 13064, 272, 16585, 13064, 272, 6525, 568, 519, 11201, 540, 606, 3693, 540, 3230, 288, 21974, 4595, 3230, 343, 2330, 729, 17062, 267, 649, 723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 25889, 281, 9615, 540, 14715, 3676, 1210, 11528, 543, 1875, 1606, 17790, 2553, 454, 26078, 757, 513, 1713, 4161, 538, 4915, 269, 901, 4161, 568, 30109, 2404, 609, 519, 28198, 454, 663, 25843, 540, 519, 2634, 5160, 563, 32325, 281, 634, 25843, 2497, 540, 519, 2634, 568, 1813, 547, 519, 4527, 540, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 13211, 6518, 5161, 540, 513, 6024, 4494, 540, 31479, 32361, 2281, 269, 634, 645, 17668, 11151, 1034, 5061, 689, 454, 550, 1359, 519, 2634, 5160, 543, 568, 3810, 16496, 267, 28498, 1152, 10894, 6878, 543, 5567, 547, 454, 24342, 281, 4014, 713, 4161, 814, 3361, 7965, 585, 519, 2126, 540, 14715, 3676, 267, 621, 454, 13757, 8118, 909, 513, 3376, 1382, 1858, 538, 519, 2361, 540, 3075, 6765, 269, 3414, 519, 13345, 540, 20543, 454, 18217, 11679, 1070, 29113, 666, 1683, 519, 4998, 2783, 585, 8429, 998, 519, 645, 17668, 563, 6962, 281, 715, 11679, 609, 5078, 7516, 543, 19993, 28920, 11131, 640, 543, 5279, 267, 607, 1134, 607, 3617, 454, 10818, 531, 1436, 267, 666, 18645, 538, 519, 2634, 269, 5015, 267, 715, 11679, 666, 7520, 519, 6098, 6765, 454, 1993, 519, 31706, 883, 519, 2634, 2127, 3238, 538, 12216, 779, 2068, 267, 19576, 779, 2068, 267, 8482, 2676, 326, 30869, 267, 26043, 267, 543, 824, 14715, 4713, 269, 901, 2689, 6257, 891, 2409, 540, 8362, 454, 339, 1173, 7566, 1808, 2127, 540, 519, 2634, 269, 0, 1692, 547, 5269, 2876, 9999, 609, 25670, 1773, 1824, 609, 1530, 629, 1941, 1277, 7120, 888, 9303, 9999, 616, 14839, 2645, 602, 2099, 519, 3892, 540, 513, 1305, 540, 6024, 1239, 269, 769, 513, 27008, 267, 519, 1239, 568, 5258, 883, 513, 1305, 540, 11996, 610, 25510, 630, 17141, 593, 519, 1535, 14289, 264, 543, 519, 1293, 540, 1239, 2798, 602, 2887, 883, 1142, 10822, 7222, 547, 519, 4463, 540, 519, 3046, 1657, 602, 10822, 269, 1452, 25510, 949, 610, 949, 711, 581, 3160, 538, 8700, 855, 616, 11105, 630, 5976, 1100, 10616, 1916, 288, 5860, 4729, 630, 10193, 1634, 607, 17830, 5860, 4729, 264, 568, 1776, 14839, 1907, 585, 10442, 1239, 14778, 269, 898, 666, 581, 2808, 607, 513, 1159, 2393, 1117, 27008, 269, 634, 19589, 540, 513, 5860, 4729, 948, 4159, 1141, 2418, 616, 13671, 936, 519, 8884, 269, 1703, 616, 513, 3099, 540, 5347, 532, 2553, 269, 918, 14533, 25670, 6480, 11582, 630, 298, 14701, 264, 568, 835, 540, 519, 2553, 1031, 547, 5347, 513, 27008, 563, 5353, 629, 1941, 568, 513, 1239, 14839, 5399, 1759, 593, 21267, 538, 5124, 269, 769, 713, 2376, 267, 649, 786, 946, 26026, 1941, 269, 7290, 7120, 3890, 547, 4729, 513, 27008, 609, 513, 5860, 4729, 563, 306, 9321, 1314, 281, 26026, 1941, 269, 7290, 7120, 16597, 267, 1535, 267, 586, 267, 27280, 267, 2493, 267, 25510, 267, 10822, 12296, 267, 15768, 267, 737, 1372, 267, 2845, 318, 29173, 994, 268, 1239, 281, 3403, 1239, 538, 519, 1106, 540, 4578, 18134, 610, 715, 17056, 5044, 454, 268, 1535, 267, 586, 630, 28436, 2567, 1883, 540, 519, 1239, 547, 581, 17479, 593, 519, 1535, 543, 586, 17887, 6606, 454, 268, 27280, 630, 28436, 2567, 23066, 1239, 1883, 799, 568, 25528, 547, 3313, 519, 2681, 540, 4729, 2609, 454, 268, 2493, 630, 28436, 2567, 1293, 267, 4908, 267, 5860, 610, 5506, 454, 27987, 281, 901, 1505, 7024, 519, 21267, 17887, 609, 519, 4729, 6537, 593, 621, 563, 7078, 476, 272, 281, 1284, 786, 5352, 519, 1239, 1210, 519, 4351, 20120, 333, 3890, 1505, 563, 3528, 9949, 737, 1372, 9936, 540, 26026, 1941, 269, 7290, 7120, 568, 1305, 547, 7301, 269, 1924, 267, 676, 4259, 519, 737, 1372, 547, 3020, 267, 513, 17830, 5860, 7447, 568, 17223, 547, 5347, 519, 3892, 543, 513, 5860, 4729, 1467, 568, 6537, 563, 7078, 476, 273, 281, 2913, 721, 946, 519, 3732, 10471, 267, 623, 27279, 267, 689, 519, 1530, 629, 1941, 5399, 538, 713, 1383, 269, 901, 10471, 2982, 519, 4162, 630, 7853, 2527, 267, 1166, 23124, 3259, 267, 3915, 3259, 4008, 264, 540, 1114, 533, 21315, 2249, 593, 1114, 10195, 563, 2171, 666, 849, 14650, 519, 3892, 540, 1560, 2527, 585, 2789, 2249, 538, 513, 2582, 4729, 269, 634, 27280, 9936, 7851, 519, 23066, 4756, 2048, 14588, 2886, 17483, 7078, 476, 274, 281, 901, 1383, 3096, 519, 3732, 10471, 267, 9669, 267, 689, 519, 1530, 629, 1941, 5399, 799, 5638, 519, 4388, 4607, 676, 513, 13962, 7746, 269, 898, 5161, 540, 519, 9133, 4607, 2698, 3915, 610, 1942, 540, 519, 7594, 267, 4008, 540, 519, 6075, 267, 2450, 540, 519, 6075, 5428, 267, 1554, 267, 942, 543, 2436, 513, 15137, 518, 568, 1459, 693, 519, 5428, 610, 711, 269, 5502, 540, 519, 1293, 540, 1239, 2798, 267, 519, 27008, 538, 713, 1383, 568, 28348, 865, 602, 1142, 3046, 779, 4463, 2982, 513, 5506, 563, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 5124, 14691, 7690, 6092, 543, 1451, 519, 9238, 563, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 2035, 609, 519, 5124, 26712, 6092, 269, 1656, 547, 2253, 609, 707, 10724, 4804, 17714, 267, 6443, 519, 10724, 4804, 1107, 9978, 5426, 6092, 0, 22492, 17136, 834, 299, 334, 26244, 32190, 8416, 4840, 291, 1737, 1467, 585, 12377, 22347, 3827, 281, 6806, 630, 272, 5130, 476, 1708, 272, 1916, 19950, 338, 281, 5769, 540, 12085, 282, 12616, 9300, 5121, 282, 700, 303, 23354, 5121, 282, 2098, 580, 289, 2465, 282, 5985, 4066, 454, 22492, 12983, 543, 26888, 538, 631, 7894, 296, 13746, 454, 22492, 17136, 538, 4750, 540, 13149, 3163, 543, 7177, 281, 23397, 16370, 543, 10298, 585, 26066, 12472, 543, 5004, 454, 22492, 17136, 538, 11576, 832, 281, 12694, 267, 11780, 32187, 267, 543, 23800, 585, 22750, 17270, 538, 29942, 32190, 17978, 454, 22492, 17136, 538, 769, 26197, 281, 23397, 5564, 12855, 16370, 585, 8836, 11595, 454, 763, 2487, 3466, 538, 519, 5769, 540, 12085, 6389, 723, 2938, 519, 4473, 540, 513, 1713, 1297, 540, 2792, 4066, 4171, 1292, 3483, 568, 593, 835, 2427, 519, 5786, 540, 1379, 4616, 267, 543, 593, 519, 824, 519, 11097, 2287, 540, 519, 1239, 6771, 2039, 269, 769, 713, 2796, 267, 519, 1034, 1713, 3435, 723, 7153, 1369, 519, 865, 10777, 4427, 8566, 13703, 4908, 13164, 267, 1519, 782, 1346, 13164, 4171, 5665, 4908, 568, 2539, 982, 476, 272, 717, 13703, 269, 7324, 519, 1585, 4066, 267, 519, 10753, 26244, 25244, 267, 1927, 609, 519, 10753, 26244, 310, 3198, 26914, 7014, 267, 814, 6537, 513, 1804, 1719, 1813, 547, 922, 1164, 12644, 538, 2474, 540, 1312, 1379, 4616, 543, 6771, 9832, 269, 22685, 1154, 10279, 268, 19464, 4507, 267, 10753, 26244, 5925, 13838, 949, 581, 6007, 14617, 543, 7500, 8238, 558, 3585, 1256, 585, 930, 1296, 269, 2311, 519, 1482, 942, 267, 789, 666, 3914, 6771, 9832, 909, 547, 930, 21240, 538, 4683, 2127, 543, 930, 9937, 540, 21240, 538, 6917, 2127, 269, 1452, 1079, 2934, 1118, 713, 2186, 540, 3457, 4998, 585, 1346, 3156, 1141, 513, 3060, 5989, 814, 547, 7500, 8238, 558, 3585, 585, 1279, 21269, 540, 942, 267, 538, 2647, 2127, 269, 32190, 13033, 25121, 666, 1287, 4922, 4324, 689, 519, 4367, 540, 713, 2029, 563, 299, 334, 26244, 543, 10753, 26244, 310, 3198, 14617, 9300, 5121, 666, 581, 1336, 538, 782, 519, 1034, 1713, 3498, 7653, 1369, 519, 5769, 540, 12085, 2796, 267, 689, 12829, 20079, 543, 10164, 550, 13255, 7010, 547, 519, 17565, 540, 12752, 476, 275, 269, 271, 269, 901, 5318, 18236, 14593, 3173, 267, 607, 1134, 607, 8668, 10909, 267, 547, 8495, 1114, 3435, 543, 19383, 585, 713, 2029, 267, 689, 519, 2168, 4494, 547, 519, 3060, 6189, 269, 6270, 513, 1804, 1382, 1719, 568, 4867, 14754, 676, 519, 7683, 3395, 1297, 540, 9300, 13033, 3156, 602, 616, 12561, 10753, 26244, 543, 10753, 26244, 310, 3198, 607, 6771, 2029, 543, 7014, 585, 1239, 6771, 563, 1607, 7981, 17136, 20217, 3312, 7418, 593, 519, 3584, 1644, 547, 10753, 26244, 2029, 543, 10753, 26244, 310, 3198, 7014, 267, 607, 1134, 607, 741, 2009, 3096, 1369, 519, 2796, 540, 5121, 267, 1519, 267, 855, 711, 3908, 547, 267, 519, 1739, 3584, 912, 268, 10753, 26244, 8447, 23771, 454, 268, 10753, 26244, 310, 3198, 7014, 454, 268, 20010, 10753, 26244, 2861, 26914, 10873, 454, 268, 10753, 26244, 2861, 3060, 10873, 454, 268, 10753, 26244, 25121, 585, 519, 5769, 540, 12085, 454, 268, 10753, 26244, 2861, 9300, 5121, 454, 268, 8899, 5295, 10753, 26244, 9300, 9136, 454, 268, 6052, 28610, 532, 2553, 585, 10753, 26244, 9300, 9136, 454, 268, 5295, 2359, 585, 10753, 26244, 9300, 5121, 454, 268, 10753, 26244, 25121, 585, 12752, 476, 275, 269, 271, 454, 268, 10753, 26244, 25121, 585, 12829, 20079, 454, 7804, 269, 1325, 612, 663, 549, 7313, 345, 2763, 2548, 454, 10048, 11245, 4427, 3939, 6176, 454, 10048, 11245, 338, 1058, 581, 11643, 2228, 693, 8940, 6230, 323, 7032, 2593, 676, 11578, 532, 543, 19883, 538, 547, 713, 3896, 269, 4495, 596, 616, 10805, 267, 4945, 1934, 547, 979, 547, 519, 19169, 1106, 269, 2494, 11245, 338, 666, 581, 11643, 2394, 519, 21120, 269, 2353, 4574, 786, 581, 9263, 24595, 269, 20504, 539, 4574, 786, 581, 3370, 11179, 538, 519, 4760, 630, 553, 4166, 607, 7608, 264, 543, 786, 581, 7396, 1927, 593, 519, 2027, 3390, 3896, 269, 3194, 4930, 267, 2689, 4930, 607, 1134, 607, 2110, 10618, 616, 14376, 269, 1280, 9709, 4574, 267, 513, 2140, 543, 2110, 7493, 630, 12671, 476, 1911, 1913, 264, 666, 581, 2366, 547, 519, 32000, 8433, 585, 23318, 593, 713, 3896, 563, 8138, 4784, 22251, 1058, 711, 723, 1044, 3370, 5892, 267, 6862, 581, 896, 7156, 585, 8313, 11992, 630, 21955, 10554, 18659, 4574, 1040, 2353, 22251, 616, 8499, 22275, 539, 998, 513, 2582, 15918, 785, 9263, 21623, 1184, 269, 589, 3391, 585, 4589, 543, 824, 4143, 1344, 585, 19169, 540, 22251, 568, 2139, 593, 519, 27491, 585, 22439, 2985, 269, 11576, 832, 568, 606, 3486, 9263, 24595, 1930, 1569, 5033, 30266, 628, 569, 4760, 3370, 676, 631, 7894, 296, 563, 8923, 3643, 519, 27491, 585, 22439, 2985, 1354, 26446, 513, 12377, 269, 634, 9137, 14409, 932, 1618, 630, 4338, 290, 264, 585, 8313, 538, 713, 1930, 1569, 4760, 568, 476, 13136, 271, 8863, 293, 630, 18933, 1170, 8071, 338, 1040, 4427, 4784, 4574, 1058, 581, 1134, 30149, 543, 946, 1434, 2296, 269, 22439, 949, 946, 631, 7894, 296, 781, 2296, 11049, 3028, 1991, 547, 8313, 610, 1282, 2278, 26941, 563, 268, 32190, 17978, 454, 268, 12829, 4975, 454, 268, 12752, 476, 275, 269, 271, 454, 268, 6052, 28610, 532, 454, 268, 5295, 5004, 0, 4263, 558, 267, 10545, 3926, 883, 799, 1118, 513, 3017, 949, 1360, 1134, 581, 5258, 1863, 540, 519, 11166, 540, 30788, 9901, 5536, 454, 7197, 609, 519, 11046, 568, 8900, 1858, 269, 634, 14230, 568, 1500, 909, 540, 519, 9797, 536, 2683, 13540, 540, 22571, 543, 25268, 11303, 676, 513, 6531, 540, 11874, 536, 2683, 9211, 269, 634, 13540, 568, 1507, 8397, 543, 10053, 607, 10353, 1247, 1210, 9211, 267, 799, 1522, 581, 519, 1769, 652, 536, 2683, 5536, 538, 3993, 2470, 269, 5082, 6425, 616, 26970, 547, 1022, 23904, 5279, 676, 741, 3167, 2604, 282, 1369, 606, 11046, 267, 5122, 4229, 12622, 519, 9211, 2509, 519, 13540, 563, 10303, 609, 519, 3993, 2470, 540, 7061, 11707, 267, 1100, 22072, 12705, 5170, 547, 581, 11207, 25685, 693, 3308, 1944, 519, 11046, 286, 338, 1585, 2934, 267, 799, 607, 513, 1267, 4229, 21575, 547, 2119, 14911, 6337, 540, 707, 11046, 547, 30881, 1896, 7907, 269, 769, 1978, 24947, 267, 519, 9211, 538, 606, 11046, 13789, 899, 5536, 28835, 519, 13540, 269, 769, 824, 11570, 267, 519, 9211, 13789, 899, 6329, 13792, 538, 1747, 5111, 519, 13540, 269, 1452, 556, 5320, 621, 585, 803, 5686, 540, 5951, 6163, 267, 1572, 10739, 1023, 267, 2491, 519, 3892, 540, 2123, 9211, 269, 634, 2932, 540, 519, 11046, 568, 9244, 6766, 676, 891, 20771, 10305, 267, 543, 922, 3114, 8075, 616, 1759, 593, 20771, 1895, 902, 3622, 1634, 607, 16115, 563, 7197, 3390, 568, 7768, 540, 606, 4903, 331, 558, 3130, 540, 6675, 267, 602, 949, 581, 5258, 2864, 24672, 269, 631, 26163, 267, 18867, 267, 616, 7768, 540, 8444, 8678, 676, 3114, 7554, 799, 1522, 581, 1259, 811, 2182, 547, 2736, 269, 5272, 2189, 11046, 5161, 540, 14758, 5536, 286, 4067, 569, 267, 9211, 543, 22140, 269, 1452, 5536, 616, 30788, 9901, 267, 2059, 609, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21776, 29515, 2757, 12372, 28435, 20379, 4730, 1990, 1248, 320, 543, 5096, 738, 515, 3335, 1031, 7405, 585, 741, 12563, 2575, 543, 7544, 269, 27557, 547, 3561, 11114, 7544, 5322, 1331, 519, 1505, 2919, 538, 3345, 9705, 827, 676, 519, 11114, 25287, 19212, 772, 26284, 590, 641, 563, 763, 13176, 626, 3096, 2553, 899, 1193, 636, 2719, 678, 553, 326, 826, 5964, 610, 26378, 519, 3280, 4580, 575, 565, 701, 269, 18280, 8205, 814, 1631, 6913, 519, 5837, 1164, 2666, 269, 3414, 1995, 267, 2705, 267, 2818, 540, 519, 7544, 1158, 723, 2097, 547, 5431, 922, 7687, 563, 1607, 13315, 971, 3029, 607, 2757, 12473, 6965, 332, 1276, 540, 799, 729, 5921, 8385, 585, 5711, 2773, 267, 3006, 10483, 676, 7405, 269, 12333, 25501, 1500, 2147, 946, 540, 513, 1804, 1560, 540, 4262, 695, 656, 625, 269, 28716, 23968, 5622, 6435, 269, 23968, 5622, 3567, 3755, 910, 5225, 3643, 23968, 5622, 6435, 547, 1451, 875, 547, 1039, 707, 4757, 2232, 563, 13911, 610, 13594, 513, 20396, 2012, 883, 519, 1257, 4216, 269, 8437, 3619, 269, 2659, 11422, 786, 1491, 596, 547, 513, 5680, 2985, 630, 7838, 299, 264, 2404, 609, 602, 20396, 2012, 269, 27189, 2055, 610, 8292, 547, 8222, 563, 25565, 12563, 2575, 1419, 2882, 23475, 1913, 267, 4352, 12563, 15747, 2575, 4386, 4122, 538, 7544, 2575, 5389, 563, 301, 1551, 894, 14235, 3138, 1682, 1804, 538, 519, 2757, 12563, 2575, 540, 1082, 4529, 269, 901, 13315, 971, 3029, 607, 2757, 12473, 6965, 267, 1454, 540, 799, 729, 5921, 8385, 585, 5711, 2773, 267, 3006, 10483, 676, 563, 293, 4594, 523, 1723, 630, 28049, 12332, 281, 1496, 4148, 320, 16659, 1889, 385, 489, 14150, 25818, 538, 922, 7453, 652, 2631, 267, 568, 513, 3318, 1242, 1148, 27322, 1759, 593, 519, 1585, 12563, 3271, 545, 2575, 5389, 540, 8828, 8050, 538, 519, 14628, 2950, 540, 1656, 31647, 807, 267, 6987, 8145, 611, 3120, 543, 11465, 7266, 516, 2593, 513, 9962, 2631, 267, 621, 4016, 547, 891, 7574, 5389, 543, 811, 2413, 7574, 6163, 799, 723, 563, 21158, 543, 2079, 593, 18280, 8205, 781, 6560, 585, 1582, 24148, 689, 5682, 19382, 28315, 781, 3864, 17531, 269, 1403, 596, 616, 513, 4116, 10478, 585, 3872, 1570, 267, 5225, 3643, 32282, 4804, 300, 4215, 585, 513, 2647, 2039, 540, 1863, 3059, 2200, 17364, 9251, 998, 476, 1321, 628, 3446, 6185, 5877, 0, 6624, 8942, 538, 7713, 519, 2470, 540, 519, 2247, 723, 2907, 1044, 1500, 267, 1256, 8757, 519, 1448, 13296, 519, 1360, 6228, 540, 519, 2247, 568, 11130, 585, 543, 1996, 621, 269, 13575, 267, 519, 2470, 540, 519, 2247, 666, 581, 2417, 4839, 3481, 856, 267, 1498, 711, 8209, 3908, 267, 883, 1896, 2127, 269, 3487, 540, 891, 2882, 513, 11826, 2079, 540, 519, 2790, 2621, 543, 3252, 607, 1134, 607, 519, 14374, 883, 519, 9637, 543, 519, 2790, 3601, 543, 519, 3448, 4276, 789, 949, 723, 609, 519, 2168, 1560, 540, 2043, 563, 2690, 519, 1034, 851, 267, 621, 568, 4922, 4371, 602, 972, 6818, 519, 2247, 269, 2372, 924, 593, 519, 14669, 267, 972, 616, 1896, 9840, 602, 1625, 1636, 547, 2232, 519, 3390, 7282, 519, 6228, 540, 519, 2247, 607, 547, 2436, 621, 568, 513, 5094, 11769, 689, 519, 1560, 610, 952, 621, 568, 267, 8197, 267, 513, 6071, 851, 540, 519, 2168, 1373, 540, 812, 630, 305, 657, 5460, 531, 1040, 634, 3069, 540, 32680, 1143, 31234, 602, 519, 2790, 9259, 602, 2291, 538, 519, 2247, 616, 1875, 2275, 23705, 648, 531, 610, 7703, 1100, 2168, 610, 15889, 6228, 563, 16449, 519, 9998, 5717, 602, 1445, 593, 519, 10952, 2666, 902, 585, 12242, 626, 840, 32383, 616, 10630, 538, 519, 12591, 540, 1312, 18573, 543, 17127, 269, 1452, 3504, 15806, 723, 11130, 267, 1498, 789, 3180, 8795, 2093, 538, 1978, 10054, 267, 602, 519, 1360, 4987, 540, 812, 610, 519, 23314, 540, 519, 12200, 540, 519, 9997, 610, 540, 519, 2247, 3112, 581, 2047, 1163, 15903, 2390, 998, 519, 946, 540, 835, 779, 1351, 335, 648, 531, 1373, 563, 1103, 811, 2487, 2053, 267, 681, 2940, 29439, 26075, 11130, 585, 513, 811, 14969, 4661, 585, 519, 2470, 540, 519, 2247, 269, 2334, 568, 267, 646, 13187, 602, 519, 2247, 568, 513, 1875, 14428, 9713, 11769, 602, 3112, 581, 6905, 269, 18766, 689, 713, 267, 29439, 26075, 849, 10660, 1229, 519, 2856, 602, 519, 2247, 568, 547, 581, 4857, 609, 1582, 18221, 610, 267, 811, 4481, 267, 519, 9637, 540, 835, 269, 2372, 924, 8037, 568, 1010, 3801, 693, 23243, 519, 2247, 689, 519, 1351, 335, 648, 531, 2634, 602, 649, 917, 540, 2221, 538, 519, 2168, 2631, 630, 2704, 534, 523, 1040 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 799, 568, 476, 1015, 1315, 476, 1911, 815, 476, 271, 269, 272, 269, 1924, 476, 1015, 2600, 607, 513, 8918, 568, 476, 271, 269, 272, 269, 3721, 476, 273, 568, 547, 9062, 707, 3312, 3902, 676, 707, 8918, 780, 1012, 1548, 568, 513, 476, 2004, 260, 7443, 14345, 2496, 2252, 596, 6108, 8096, 272, 547, 1205, 8096, 273, 267, 602, 779, 513, 476, 2004, 2600, 30825, 12540, 514, 269, 1403, 596, 2461, 2111, 547, 1711, 513, 8605, 585, 8096, 1911, 543, 6133, 621, 585, 8096, 5611, 267, 602, 779, 513, 30825, 540, 8096, 2004, 543, 513, 30825, 12540, 514, 540, 476, 3451, 2600, 269, 1403, 596, 2461, 2111, 547, 6133, 519, 1482, 1587, 585, 8096, 4968, 267, 602, 779, 513, 14345, 540, 476, 5780, 2600, 780, 1012, 1215, 798, 596, 5173, 513, 476, 1789, 260, 14345, 2496, 1692, 798, 594, 5173, 513, 476, 1789, 260, 14345, 286, 31282, 476, 1789, 260, 883, 513, 8918, 676, 12270, 476, 1789, 676, 476, 1911, 267, 1226, 16226, 476, 271, 269, 274, 8160, 19434, 476, 271, 269, 274, 689, 476, 272, 547, 1205, 476, 271, 269, 278, 6185, 643, 728, 519, 3902, 519, 1434, 1942, 596, 676, 476, 271, 269, 278, 7868, 1297, 602, 596, 4309, 568, 875, 1454, 596, 991, 547, 6133, 519, 6221, 585, 547, 1205, 513, 476, 1789, 260, 7443, 14345, 780, 1012, 1548, 1665, 1575, 568, 476, 1839, 14345, 2496, 736, 269, 876, 260, 14303, 841, 12540, 514, 1656, 4460, 1575, 7305, 300, 2752, 298, 16810, 25783, 290, 7728, 8980, 4932, 2752, 294, 2562, 25783, 290, 7728, 8980, 4932, 8085, 2316, 12195, 296, 2207, 25783, 290, 7728, 17803, 21854, 279, 269, 6734, 260, 14338, 23211, 279, 269, 3583, 260, 11277, 25240, 280, 269, 3374, 260, 14862, 21857, 271, 269, 876, 260, 10219, 7367, 811, 9343, 692, 1012, 1548, 568, 513, 2635, 7443, 14345, 585, 513, 1507, 1870, 2496, 10376, 9441, 538, 513, 1507, 1870, 11479, 519, 19114, 2539, 269, 2290, 1353, 1336, 602, 476, 3445, 260, 540, 782, 3028, 543, 5663, 4213, 609, 811, 982, 8096, 10384, 267, 1822, 538, 14407, 6455, 616, 5665, 693, 896, 476, 1015, 260, 19114, 950, 476, 1428, 260, 268, 736, 260, 568, 2693, 4998, 780, 1012, 4208, 568, 14345, 1732, 982, 1665, 1575, 2496, 12234, 267, 1210, 14345, 547, 1305, 707, 5777, 2306, 621, 4443, 547, 3589, 20656, 269, 4635, 1665, 1575, 267, 596, 3112, 3077, 519, 5377, 1899, 3927, 1317, 621, 1281, 711, 1331, 782, 519, 3790, 2404, 609, 1818, 602, 1587, 780, 1012, 1548, 2472, 723, 519, 5207, 7443, 14345, 2496, 297, 1168, 601, 787, 19105, 4460, 1575, 281, 476, 1911, 260, 20486, 4460, 1575, 19105, 281, 476, 4968, 260, 15697, 5253, 4460, 1575, 19105, 281, 476, 4968, 260, 15812, 1575, 19105, 281, 476, 6110, 260, 293, 1248, 8132, 4460, 5725, 3328, 281, 476, 14596, 260, 16978, 16361, 4460, 5725, 3328, 281, 476, 16020, 260, 26170, 1948, 476, 272, 538, 476, 1001, 279, 910, 293, 5831, 20324, 8681, 8745, 4460, 1575, 19105, 281, 476, 8517, 260, 4470, 593, 519, 7121, 780, 1012, 1215, 798, 596, 5173, 14345, 1665, 1575, 2496, 2414, 5173, 1665, 1575, 10208, 707, 1587, 1942, 689, 707, 9513, 3902, 269, 3973, 7941, 602, 2121, 7443, 676, 519, 1942, 269, 1677, 5173, 14345, 267, 7941, 707, 1587, 1942, 676, 519, 10685, 3902, 780, 1012, 1548, 1870, 814, 5207, 7443, 14345, 2496, 9349, 15209, 543, 19098, 2060, 513, 2121, 7443, 14345, 540, 476, 866, 269, 279, 9077, 1433, 15209, 267, 8051, 267, 3454, 7041, 267, 543, 2628, 2651, 2533, 723, 1279, 1044, 930, 540, 519, 1034, 19311, 4213, 585, 11639, 780, 1012, 1548, 2872, 814, 519, 5207, 7443, 14345, 2496, 2080, 616, 519, 476, 1428, 1034, 19311, 6080, 538, 476, 1001, 277, 267, 19486, 676, 2121, 7443, 14345, 281, 28398, 532, 267, 3454, 3341, 267, 1433, 15209, 267, 2628, 2651, 2533, 281, 476, 1240, 269, 274, 260, 299, 20235, 2533, 281, 476, 1704, 269, 275, 260, 27832, 832, 540, 1483, 10040, 281, 476, 1704, 269, 275, 260, 11073, 18345, 1416, 7740, 281, 476, 1428, 269, 280, 260, 19423, 1182, 540, 1483, 10040, 8069, 543, 2156, 24329, 281, 476, 1691, 269, 279, 260, 19423, 1182, 540, 824, 1072, 9439, 281, 476, 1691, 269, 273, 260, 5415, 3688, 2507, 1892, 692, 1012, 1772, 14345, 543, 1665, 1575, 519, 1482, 3364, 2496, 13828, 7443, 14345, 543, 1665, 1575, 946, 8907, 543, 3790, 607, 851, 540, 741, 9273, 269, 634, 1292, 3017, 1063, 519, 1079, 568, 602, 7443, 14345, 4016, 547, 6455, 14263, 519, 1942, 540, 5370, 4421, 1247, 1665, 1575, 547, 519, 2179, 676, 799, 519, 1942, 540, 513, 1434, 568, 2799, 538, 1931, 547, 1205, 547, 519, 3803, 9513, 3902, 780, 1012, 1548, 568, 519, 3328, 7443, 14345, 585, 10685, 2496, 763, 4473, 538, 10918, 2228, 814, 5129, 513, 2462, 1909, 538, 5329, 10685, 19114, 1970, 269, 1306, 513, 2489, 4341, 540, 14853, 267, 513, 476, 1015, 260, 2121, 7443, 14345, 568, 16363, 3328, 267, 1247, 513, 476, 736, 260, 14345, 568, 16363, 1164, 543, 476, 276, 260, 1970, 780, 1012, 1215, 798, 596, 5173, 1665, 1575, 593, 1942, 2496, 8245, 2952, 1491, 519, 6455, 3902, 14263, 519, 1770, 1942, 267, 543, 7941, 602, 1297, 676, 519, 1770, 1942, 269, 3973, 267, 9062, 676, 476, 1911, 547, 3313, 519, 1665, 1575, 6871, 269, 1280, 1383, 267, 952, 707, 1587, 3790, 8096, 2004, 547, 1118, 543, 519, 9513, 3902, 568, 8096, 4037, 267, 1287, 519, 1665, 1575, 6871, 1131, 581, 476, 2004, 260, 281, 630, 8096, 4037, 1107, 8096, 2004, 264, 1315, 8096, 2004, 815, 16317, 1012, 1215, 798, 596, 5173, 513, 476, 736, 260, 1665, 1575, 2496, 11372, 17586, 519, 3312, 3902, 676, 476, 271, 269, 273, 547, 1265, 519, 2179, 540, 513, 476, 736, 2600, 1665, 1575, 267, 610, 9062, 621, 676, 476, 272, 269, 273, 547, 1265, 519, 2698, 3902, 630, 10175, 1665, 1575, 1040, 1403, 596, 723, 519, 3803, 3902, 630, 10175, 1665, 1575, 264, 543, 1616, 547, 917, 1018, 519, 3312, 3902, 729, 267, 7941, 676, 476, 272, 269, 273, 780, 1012, 1215, 1454, 568, 513, 476, 2004, 260, 1665, 1575, 2496, 10303, 1665, 1575, 568, 23125, 607, 513, 6871, 540, 519, 6455, 3902, 267, 30945, 519, 1942, 1797, 513, 476, 2004, 2600, 1665, 1575, 269, 1280, 1383, 267, 952, 707, 1942, 593, 606, 6221, 568, 8096, 272, 267, 707, 9513, 3902, 786, 581, 8096, 273, 269, 17823, 1399, 2600, 540, 8096, 273, 568, 8096, 272, 267, 799, 568, 707, 1665, 1575, 269, 0, 258, 476, 4510, 277, 2475, 3819, 29054, 538, 2475, 22232, 18324, 9398, 692, 1012, 23586, 692, 4510, 277, 2475, 3819, 29054, 568, 6697, 547, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 276, 2475, 22232, 18324, 9398, 16804, 272, 6540, 1012, 23586, 4542, 1215, 547, 6460, 476, 4510, 277, 2475, 3819, 29054, 547, 2475, 22232, 18324, 9398, 2496, 2171, 917, 630, 2421, 4214, 264, 602, 281, 1269, 272, 315, 9507, 18097, 787, 8663, 7758, 4153, 13627, 476, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 315, 9507, 346, 755, 324, 5684, 3019, 10592, 2171, 666, 1305, 909, 513, 8167, 547, 4194, 585, 519, 1297, 540, 2475, 22232, 18324, 9398, 780, 259, 272, 2340, 479, 351, 3819, 8663, 7758, 476, 4510, 277, 2340, 479, 351, 3819, 8663, 7758, 9881, 486, 476, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 2340, 479, 351, 579, 4614, 5684, 3019, 1535, 2340, 479, 351, 579, 4614, 5684, 3019, 6911, 3086, 267, 649, 3444, 9062, 547, 4194, 585, 938, 7164, 1269, 343, 259, 1384, 259, 343, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 13627, 1422, 2765, 346, 4510, 277, 315, 9507, 18097, 787, 8663, 7758, 12453, 272, 315, 9507, 18097, 787, 8663, 7758, 3686, 265, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 1729, 1535, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 13627, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 3393, 280, 315, 9507, 346, 755, 324, 5684, 3019, 10592, 6962, 281, 1269, 4510, 277, 2340, 479, 351, 3819, 8663, 7758, 9881, 486, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 3393, 280, 2340, 479, 351, 579, 4614, 5684, 3019, 6911, 1012, 23586, 538, 519, 6587, 4287, 692, 763, 11201, 540, 519, 7503, 3815, 568, 602, 476, 272, 2475, 22232, 23188, 568, 3160, 547, 476, 280, 269, 4649, 278, 4281, 277, 6812, 277, 22001, 8660, 324, 268, 5400, 2053, 476, 4510, 277, 2475, 3819, 29054, 780, 2005, 666, 849, 581, 6829, 607, 281, 476, 4510, 277, 2475, 3819, 29054, 568, 3160, 547, 4399, 2765, 346, 272, 7346, 9507, 346, 280, 269, 4649, 278, 4281, 277, 6812, 277, 22001, 8660, 324, 268, 5400, 22288, 2475, 22232, 18324, 9398, 780, 1012, 20976, 11582, 692, 2304, 16977, 10230, 1267, 1131, 581, 281, 2185, 4627, 543, 17288, 29350, 2475, 3819, 29054, 568, 827, 4557, 2929, 267, 2185, 4627, 543, 24239, 26690, 8536, 267, 3670, 4627, 543, 29235, 31644, 1448, 2185, 2185, 2475, 22232, 18324, 9398, 267, 610, 4244, 569, 267, 513, 2475, 22232, 23188, 568, 827, 4642, 2053, 2185, 4627, 543, 17288, 29350, 2475, 3819, 29054, 780, 1012, 14272, 17084, 692, 314, 272, 316, 634, 8856, 568, 476, 1428, 1713, 9704, 630, 27917, 10117, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 6393, 24342, 949, 2270, 1507, 6959, 1813, 547, 519, 946, 540, 13735, 1448, 12980, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 259, 1839, 269, 876, 0, 9213, 779, 4213, 616, 1210, 3684, 1565, 6620, 547, 2087, 4835, 543, 6075, 1922, 5217, 4238, 267, 3056, 547, 1732, 2833, 585, 5561, 269, 10724, 4804, 630, 7876, 264, 13071, 3549, 10244, 519, 1379, 540, 5841, 4987, 543, 2413, 4066, 547, 2087, 538, 2081, 602, 941, 711, 2009, 1354, 563, 1103, 519, 1439, 267, 782, 540, 713, 2306, 621, 4443, 585, 4213, 547, 5838, 1871, 593, 513, 1007, 1377, 269, 6875, 5413, 540, 891, 3670, 3156, 540, 3684, 1565, 585, 2413, 1870, 3156, 563, 1432, 568, 10724, 4804, 888, 300, 22389, 1565, 630, 7876, 264, 568, 513, 1826, 540, 5841, 4987, 630, 9590, 264, 602, 6087, 5904, 547, 1451, 1510, 1373, 12799, 23553, 563, 1103, 824, 1913, 267, 2864, 982, 2348, 741, 10342, 840, 20452, 676, 1480, 23501, 267, 3684, 1565, 6620, 946, 1239, 547, 1711, 3631, 602, 1450, 873, 547, 2087, 741, 10342, 8850, 269, 901, 666, 1331, 3388, 689, 7114, 1018, 1004, 616, 6158, 827, 538, 513, 2016, 4062, 540, 1257, 267, 547, 7446, 519, 1655, 2619, 547, 6330, 513, 1582, 28391, 1286, 998, 606, 10167, 563, 3963, 2659, 6355, 20126, 10724, 4804, 454, 2026, 519, 946, 540, 3642, 6620, 5170, 547, 1332, 267, 4213, 723, 606, 4316, 547, 1711, 10531, 6075, 2833, 602, 10508, 5561, 267, 2333, 12802, 267, 543, 5397, 8907, 269, 1809, 1354, 596, 666, 1711, 891, 2413, 3642, 14617, 2833, 267, 596, 723, 547, 1101, 1174, 1946, 707, 1870, 2115, 3684, 1565, 269, 2913, 779, 1413, 693, 1614, 2081, 602, 2413, 4213, 946, 3642, 6620, 547, 5397, 1732, 2164, 563, 307, 13759, 11426, 619, 2060, 2859, 9608, 1242, 11619, 1137, 454, 19968, 525, 602, 1810, 1406, 946, 3642, 1981, 11488, 519, 1482, 5048, 547, 1169, 6075, 269, 901, 666, 1331, 3388, 689, 6725, 10618, 267, 547, 12747, 15737, 602, 5561, 4309, 1310, 513, 6718, 269, 10251, 267, 891, 10618, 616, 1419, 791, 5966, 543, 666, 2490, 5561, 1055, 689, 513, 6216, 1310, 1175, 835, 5872, 563, 8620, 513, 14568, 14871, 15232, 630, 308, 311, 994, 763, 1655, 3642, 14617, 2645, 946, 3593, 1239, 547, 30082, 2303, 606, 4998, 1995, 585, 1142, 1268, 269, 901, 666, 1331, 3388, 689, 6700, 1587, 7648, 267, 547, 10531, 1587, 7840, 1759, 593, 513, 6075, 779, 9140, 1686, 563, 19102, 848, 28521, 2060, 9608, 1242, 8605, 32505, 454, 19968, 525, 602, 946, 3642, 6620, 547, 1379, 10531, 1587, 7840, 666, 1294, 1713, 4679, 538, 8907, 269, 901, 568, 1317, 891, 6620, 666, 2697, 1018, 2472, 1808, 5561, 616, 2693, 547, 4444, 267, 543, 4363, 1346, 2472, 547, 824, 5561, 945, 616, 2693, 547, 4444, 873, 607, 1134, 563, 1432, 1411, 2052, 1684, 2060, 10724, 4804, 454, 4131, 779, 1491, 513, 1413, 693, 1018, 596, 666, 798, 609, 519, 1655, 3684, 1565, 6620, 585, 2413, 1870, 3156, 563, 27775, 754, 15733, 2060, 20985, 8606, 18146, 454, 3080, 540, 519, 1034, 1455, 3684, 1565, 2553, 568, 10319, 19003, 269, 901, 5690, 23607, 1239, 689, 513, 1895, 540, 5561, 630, 22372, 593, 1919, 899, 2250, 16306, 267, 16863, 267, 543, 824, 4205, 264, 547, 1118, 7840, 585, 824, 5561, 269, 1452, 7840, 948, 5561, 1265, 4010, 1018, 789, 991, 5488, 543, 609, 513, 2362, 4110, 540, 6111, 563, 19547, 624, 17793, 644, 543, 11485, 2060, 16066, 9828, 454, 2414, 2327, 602, 707, 1870, 568, 1152, 8391, 16048, 9753, 689, 5561, 267, 621, 779, 1271, 547, 723, 12611, 7020, 6620, 538, 1747, 269, 1703, 616, 513, 1297, 540, 3684, 1565, 6620, 602, 666, 948, 840, 1606, 10547, 9753, 1354, 789, 3914, 707, 1870, 267, 1519, 3375, 4054, 543, 31096, 7020, 563, 10048, 720, 4578, 2060, 7849, 5678, 14409, 630, 301, 10861, 264, 543, 8950, 17496, 454, 19968, 525, 2445, 513, 2603, 540, 13417, 19099, 1239, 602, 666, 581, 2352, 547, 4383, 269, 634, 1655, 3642, 6620, 585, 1239, 2359, 666, 948, 3549, 10891, 713, 1239, 267, 5659, 621, 267, 543, 2322, 621, 547, 946, 538, 6209, 2081, 269, 1358, 798, 713, 998, 513, 4999, 540, 2780, 5075, 543, 28589, 563, 20663, 5075, 568, 606, 5690, 602, 2337, 6191, 5659, 543, 1174, 2592, 269, 28589, 1568, 538, 519, 1482, 1259, 267, 855, 568, 1031, 547, 5659, 8301, 5439, 540, 1004, 6158, 269, 901, 4999, 2636, 5904, 547, 1732, 1174, 2923, 543, 711, 581, 7357, 882, 5050, 593, 1257, 563, 2690, 4213, 267, 713, 1797, 602, 5904, 666, 1451, 811, 827, 1239, 602, 621, 25173, 689, 1514, 2923, 543, 824, 2959, 602, 616, 711, 1257, 2861, 563, 307, 1778, 31740, 2060, 22365, 7593, 4804, 454, 3725, 514, 7593, 1565, 568, 513, 3684, 1565, 5690, 602, 14884, 5520, 547, 4431, 547, 1978, 3871, 609, 519, 1655, 2009, 4093, 563, 1607, 1568, 676, 7421, 4093, 543, 1818, 7840, 593, 875, 547, 2087, 269, 3973, 267, 519, 1982, 25040, 2318, 5615, 609, 12587, 543, 2942, 5615, 609, 19439, 906, 563, 2690, 2866, 5301, 267, 602, 1797, 602, 12747, 1949, 666, 5659, 543, 1174, 9441, 2773, 267, 543, 12927, 5551, 5615, 8850, 269, 901, 13071, 3549, 25117, 2866, 2853, 563, 8620, 14871, 4515, 3796, 2060, 3642, 27122, 454, 6624, 4213, 946, 3684, 1565, 3631, 547, 1711, 3593, 12632, 1759, 593, 6075, 1239, 602, 2337, 1346, 4213, 6494, 10531, 10618, 543, 5838, 4143, 2472, 269, 901, 666, 1331, 3388, 689, 2857, 2056, 2472, 267, 547, 2870, 6098, 22099, 2966, 547, 9029, 547, 5561, 685, 4690, 563, 27165, 12632, 2154, 513, 2603, 540, 1239, 543, 19003, 602, 1239, 547, 1265, 519, 1318, 3575, 540, 1344, 547, 1628, 519, 9043, 593, 269, 10724, 1565, 2306, 621, 2009, 547, 25117, 519, 4015, 543, 2079, 540, 1239, 547, 1711, 12632, 8850, 269, 2368, 3549, 1256, 946, 16066, 547, 9337, 741, 3593, 12632, 1759, 593, 741, 2228, 8852, 538, 1483, 6066, 269, 14568, 12632, 1611, 602, 519, 2754, 666, 22141, 811, 3927, 547, 2743, 6075, 2115, 543, 3251, 4143, 563, 13014, 12829, 22339, 1047, 906, 2060, 16066, 27122, 454, 3849, 3200, 2358, 568, 513, 1164, 3613, 1389, 3014, 602, 666, 1118, 610, 2736, 513, 1870, 267, 2523, 538, 552, 1260, 12692, 269, 18641, 267, 3642, 6620, 666, 948, 4213, 1711, 811, 4143, 22099, 602, 9029, 547, 5561, 945, 616, 1034, 2693, 547, 4945, 543, 4444, 563, 1607, 568, 2944, 676, 9477, 740, 2773, 543, 9256, 14573, 609, 3593, 12632, 547, 3313, 799, 3755, 616, 7722, 676, 1808, 740, 2609, 269, 16066, 3678, 919, 519, 1646, 540, 1007, 18537, 602, 616, 1759, 593, 713, 1239, 2079, 607, 1134, 607, 519, 5551, 9072, 540, 519, 2754, 269, 2060, 2614, 4977, 3593, 1239, 267, 16066, 6620, 666, 20427, 6318, 519, 7145, 2557, 585, 513, 2754, 779, 10229, 563, 14946, 634, 24486, 547, 2422, 10724, 4804, 538, 707, 6355, 454, 300, 22389, 1565, 568, 513, 3532, 1907, 538, 519, 1318, 3946, 269, 5269, 2386, 602, 707, 2754, 814, 519, 1318, 5989, 538, 1747, 547, 1491, 5413, 540, 16066, 6620, 607, 789, 1020, 269, 13555, 918, 7019, 24728, 693, 630, 8517, 264, 476, 28638, 268, 23310, 279, 547, 1451, 811, 827, 16066, 543, 875, 547, 5965, 707, 1870, 547, 2322, 621, 547, 946, 269, 0, 2691, 2052, 9040, 625, 5620, 16677, 658, 344, 974, 888, 288, 2603, 540, 3237, 616, 18516, 950, 741, 9002, 666, 723, 16677, 658, 344, 974, 269, 634, 2626, 547, 602, 2243, 568, 711, 3109, 543, 3043, 269, 16677, 658, 344, 974, 568, 513, 1390, 1259, 585, 1453, 547, 5372, 12862, 267, 32690, 267, 6886, 267, 543, 7280, 950, 789, 616, 7210, 610, 950, 519, 4365, 568, 3905, 269, 1717, 267, 621, 779, 1271, 547, 2911, 609, 707, 12963, 1014, 1354, 4758, 707, 4816, 4376, 824, 982, 6089, 332, 20488, 610, 4542, 950, 646, 24172, 814, 13165, 1317, 930, 1919, 899, 11945, 10433, 666, 1118, 621, 8338, 563, 1432, 1772, 16677, 658, 344, 974, 13242, 1280, 888, 303, 539, 658, 344, 974, 568, 5631, 1031, 547, 1521, 18024, 538, 1312, 9002, 543, 1453, 269, 898, 814, 519, 1697, 32690, 267, 6886, 267, 543, 7280, 602, 938, 4703, 991, 950, 649, 616, 13204, 3603, 865, 621, 666, 581, 1031, 585, 7646, 13165, 607, 1134, 563, 2691, 2052, 9040, 625, 5620, 16677, 658, 344, 974, 888, 303, 539, 658, 344, 974, 568, 513, 5277, 5921, 547, 1521, 18024, 538, 12256, 543, 1453, 269, 898, 3568, 1216, 267, 7280, 630, 338, 13610, 1070, 9770, 17296, 630, 14456, 6070, 264, 543, 3632, 878, 3679, 269, 634, 15111, 814, 711, 2943, 5950, 606, 4013, 2085, 585, 11480, 1922, 29623, 609, 16677, 658, 344, 974, 855, 621, 2693, 8813, 1063, 3670, 3275, 543, 1079, 1296, 540, 2085, 269, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1040, 16677, 658, 344, 974, 1590, 581, 29809, 2687, 547, 10189, 5528, 1354, 4616, 269, 898, 1058, 711, 581, 2016, 3768, 559, 3176, 610, 1031, 2250, 519, 1163, 19418, 4266, 563, 4415, 9002, 1447, 982, 476, 277, 3275, 2025, 267, 596, 1058, 581, 18762, 269, 29179, 1216, 610, 824, 12862, 824, 982, 4542, 610, 6089, 5144, 547, 12256, 949, 2014, 1713, 8374, 563, 303, 539, 658, 344, 974, 667, 3151, 1280, 5606, 1218, 454, 303, 539, 658, 344, 974, 2501, 538, 1079, 1292, 3029, 281, 8869, 543, 5277, 269, 634, 15111, 814, 711, 5950, 606, 4013, 2085, 585, 11480, 1922, 29623, 609, 16677, 658, 344, 974, 855, 621, 2693, 8813, 1063, 3670, 3275, 543, 1079, 1296, 540, 2085, 269, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1916, 763, 2489, 4341, 540, 14853, 950, 1210, 519, 32314, 1106, 568, 602, 835, 1085, 17274, 1058, 581, 6404, 883, 5216, 13728, 610, 3368, 513, 2148, 540, 1216, 269, 901, 7848, 666, 1287, 2901, 581, 10057, 1369, 8938, 3764, 26063, 610, 6740, 538, 519, 21067, 585, 909, 547, 17288, 32732, 3108, 1354, 1373, 23987, 865, 1279, 607, 596, 2285, 621, 1776, 2899, 936, 2394, 5347, 1354, 6704, 563, 299, 18612, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1916, 303, 539, 658, 344, 974, 1590, 581, 29809, 2687, 547, 10189, 5528, 1354, 4616, 269, 898, 1058, 711, 581, 2016, 3768, 559, 3176, 610, 1031, 2250, 519, 1163, 19418, 4266, 563, 2691, 1210, 5277, 16677, 658, 344, 974, 538, 513, 11480, 267, 596, 666, 3575, 835, 851, 16677, 658, 344, 974, 609, 2185, 2694, 1216, 1287, 3002, 519, 7848, 909, 538, 513, 1494, 593, 707, 23041, 9008, 2394, 3905, 855, 711, 14495, 1107, 1472, 476, 5611, 5232, 18278, 269, 3973, 21199, 1134, 543, 946, 1369, 8938, 3764, 1310, 9427, 689, 519, 3002, 2707, 268, 6382, 267, 4558, 538, 519, 21067, 2394, 1985, 8023, 942, 952, 596, 786, 7227, 3476, 982, 602, 256, 1403, 1210, 519, 32314, 1106, 267, 1039, 12963, 32690, 8869, 883, 5216, 13728, 610, 3368, 513, 2148, 540, 1216, 269, 1744, 820, 621, 909, 1134, 267, 1450, 621, 547, 23271, 4625, 952, 2877, 1107, 1287, 3049, 519, 4816, 2336, 17954, 770, 325, 539, 5606, 1218, 15775, 16677, 658, 344, 974, 454, 2691, 1210, 16677, 658, 344, 974, 547, 556, 5139, 3433, 513, 6089, 325, 539, 10867, 267, 596, 1058, 3136, 547, 6089, 12890, 519, 4816, 1282, 519, 3797, 269, 16711, 786, 4217, 547, 865, 6139, 707, 4816, 1247, 849, 12419, 1454, 32571, 29454, 630, 274, 1916, 17954, 770, 5144, 2882, 1271, 12489, 602, 949, 5351, 538, 519, 4339, 1996, 4576, 269, 898, 786, 849, 948, 609, 519, 556, 5139, 1674, 3797, 267, 5310, 1256, 3432, 532, 621, 909, 269, 4438, 891, 10108, 267, 1498, 267, 707, 4816, 949, 1020, 10151, 26178, 22166, 269, 32587, 846, 949, 1118, 519, 2589, 540, 12884, 10938, 4345, 2063, 3476, 269, 1879, 596, 2057, 10683, 6981, 1247, 8808, 267, 707, 4816, 4991, 782, 540, 519, 5383, 540, 6089, 5144, 1510, 7181, 2042, 269, 1261, 610, 1352, 1058, 581, 2111, 547, 6023, 10683, 538, 707, 2732, 1310, 519, 19210, 814, 5293, 563, 13528, 3121, 1922, 539, 5606, 1218, 14171, 16677, 658, 344, 974, 454, 2005, 779, 19624, 547, 3247, 8023, 4542, 547, 12256, 945, 5749, 1406, 2111, 547, 1832, 12862, 1524, 269, 2422, 513, 23188, 610, 861, 16206, 547, 1683, 16677, 658, 344, 974, 538, 6263, 5666, 540, 476, 271, 269, 1428, 547, 476, 271, 269, 274, 5714 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3987, 814, 1044, 20406, 8375, 585, 519, 2250, 1614, 5756, 267, 8272, 337, 1681, 606, 2333, 538, 519, 9860, 540, 2597, 2042, 543, 17324, 11570, 769, 1808, 267, 519, 9860, 540, 3987, 568, 3395, 1034, 6385, 538, 1970, 543, 1647, 4747, 16453, 1973, 4006, 585, 2021, 6082, 563, 11514, 25068, 5472, 1543, 1570, 593, 713, 1357, 3135, 267, 1519, 8675, 267, 519, 28445, 267, 3332, 267, 11585, 267, 543, 1114, 4704, 1239, 568, 585, 21141, 3252, 9003, 901, 1344, 8225, 1973, 4006, 2157, 1310, 4189, 1058, 711, 581, 2219, 540, 2407, 267, 909, 547, 4266, 267, 543, 3884, 512, 9277, 585, 946, 13722, 10552, 17491, 538, 1747, 540, 513, 3643, 267, 8400, 267, 610, 5796, 540, 513, 3656, 267, 2564, 267, 610, 1776, 3318, 901, 1543, 1570, 568, 6035, 676, 1775, 8469, 1460, 543, 568, 1888, 547, 1775, 8469, 1460, 16301, 634, 5999, 543, 12226, 616, 711, 31045, 610, 2731, 5363, 543, 616, 1500, 856, 972, 676, 24412, 267, 711, 7189, 563, 288, 4576, 6353, 676, 606, 3668, 540, 2702, 547, 1184, 14836, 1369, 519, 2732, 267, 607, 513, 1439, 1267, 540, 513, 2539, 538, 610, 2698, 9000, 540, 7378, 5663, 2904, 2154, 24409, 540, 7378, 4505, 982, 6980, 547, 948, 538, 519, 10307, 540, 14836, 11412, 531, 9848, 6523, 22202, 267, 6825, 676, 513, 1970, 17669, 12939, 585, 7280, 3794, 26651, 10892, 568, 3339, 543, 15847, 4191, 616, 15877, 7392, 476, 273, 20336, 602, 6799, 2429, 6689, 610, 18273, 267, 2356, 607, 606, 1313, 23865, 8789, 16023, 538, 799, 972, 568, 21022, 2705, 711, 15534, 7378, 2504, 676, 519, 18558, 563, 25324, 976, 609, 3987, 945, 1491, 7378, 723, 547, 581, 18762, 827, 18656, 3101, 538, 796, 680, 10165, 5721, 853, 1066, 6681, 2168, 3635, 666, 6385, 6175, 741, 1973, 4006, 543, 10511, 10028, 513, 31202, 23303, 5114, 1280, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 513, 1268, 4171, 1973, 7280, 3942, 568, 936, 476, 7742, 8406, 546, 331, 267, 519, 5796, 1223, 581, 711, 547, 3635, 538, 1022, 2463, 2311, 713, 4268, 267, 519, 5232, 540, 7378, 616, 1932, 1970, 543, 519, 26430, 1131, 723, 1966, 24317, 7280, 883, 16706, 16757, 8031, 563, 1607, 28994, 3121, 14998, 585, 7928, 10386, 540, 1973, 7280, 9832, 5900, 3737, 547, 621, 568, 513, 31092, 602, 15920, 519, 9623, 547, 513, 533, 4526, 899, 1062, 901, 1062, 814, 513, 3308, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 5496, 602, 2636, 519, 649, 13145, 547, 1294, 267, 711, 1152, 519, 1699, 7280, 4974, 267, 855, 10123, 519, 8642, 7835, 769, 930, 3457, 267, 519, 3432, 540, 1689, 540, 1973, 4006, 666, 10123, 581, 3254, 15742, 535, 1662, 687, 786, 15372, 952, 519, 3432, 540, 1689, 6920, 519, 649, 13145, 568, 693, 1981, 585, 21177, 610, 8375, 1973, 7280, 1932, 6385, 2290, 4528, 568, 4481, 2966, 547, 8818, 609, 741, 7378, 15450, 563, 763, 3099, 540, 2053, 602, 596, 1175, 4983, 707, 1973, 4006, 786, 4096, 593, 519, 2186, 540, 3987, 602, 596, 1654, 543, 519, 2186, 540, 6646, 596, 1491, 547, 4308, 609, 707, 3987, 1280, 1383, 267, 2043, 945, 1491, 7378, 949, 1590, 13182, 811, 2356, 982, 2043, 945, 1810, 512, 1491, 7378, 13185, 2059, 609, 707, 1072, 1416, 5234, 827, 875, 1419, 8899, 10552, 17491, 12580, 547, 2638, 707, 1973, 4006, 1403, 596, 17570, 1282, 960, 610, 5721, 267, 602, 5714, 2115, 547, 581, 8719, 865, 596, 991, 547, 4235, 3063, 563, 9596, 827, 6107, 3987, 2359, 267, 1426, 1544, 543, 12003, 2409, 4586, 14818, 6969, 1411, 16202, 1656, 5565, 25980, 2991, 454, 1877, 1703, 616, 513, 2647, 5542, 540, 2589, 602, 1223, 1291, 547, 513, 2392, 328, 3449, 23567, 1403, 2451, 15860, 610, 16789, 569, 7307, 267, 1826, 476, 273, 3987, 666, 1267, 538, 513, 5542, 540, 2042, 4658, 609, 4990, 476, 273, 3987, 666, 723, 513, 2462, 5542, 540, 2589, 930, 2043, 4465, 512, 723, 2589, 538, 1022, 2463, 563, 305, 18432, 543, 6803, 18441, 538, 519, 7330, 3489, 2539, 2298, 1134, 1373, 1416, 6875, 942, 547, 1413, 693, 707, 10264, 3232, 585, 1022, 11909, 15649, 1403, 596, 1654, 21399, 267, 28338, 267, 9397, 538, 519, 22405, 543, 2960, 267, 5563, 267, 610, 1628, 909, 540, 1289, 4926, 267, 1294, 513, 3723, 4387, 267, 1634, 607, 513, 10540, 9332, 2077, 769, 3210, 547, 519, 5046, 476, 866, 6855, 267, 930, 14453, 14078, 723, 9250, 7341, 547, 4217, 1004, 609, 3987, 1548, 1772, 634, 16453, 10552, 17491, 5426, 10536, 519, 6527, 543, 634, 1007, 10372, 4019, 547, 11570, 609, 513, 7050, 19483, 543, 2832, 547, 3313, 14980, 6381, 540, 3987, 865, 602, 7189, 1522, 21559, 7525, 2126, 563, 29587, 267, 2247, 267, 14401, 267, 543, 16757, 8031, 616, 1851, 513, 7274, 540, 9030, 8219, 540, 938, 26430, 799, 616, 4470, 593, 513, 29287, 1683, 540, 7280, 547, 1599, 5688, 958, 5221, 540, 713, 267, 621, 521, 1271, 547, 946, 891, 9360, 676, 2933, 1403, 596, 556, 593, 930, 2186, 540, 1114, 15847, 4915, 267, 596, 1616, 547, 960, 5702, 2059, 609, 707, 4387, 547, 1118, 946, 540, 519, 1318, 13121, 1137, 2659, 15847, 6646, 1223, 1590, 1772, 4672, 8645, 1434, 585, 1970, 1973, 4006, 581, 22485, 607, 596, 2308, 891, 9360, 607, 23182, 267, 865, 1118, 2386, 547, 1448, 856, 602, 596, 556, 2921, 873, 547, 707, 10629, 769, 930, 2665, 267, 519, 8192, 9360, 649, 3769, 538, 938, 6268, 949, 948, 596, 8774, 2597, 3509, 17551, 547, 2087, 707, 10894, 3902, 267, 799, 949, 2087, 519, 1297, 540, 8477, 596, 6633, 3232, 563, 2521, 24113, 7423, 593, 13767, 2044, 585, 513, 2487, 543, 17598, 15165, 610, 1039, 6496, 693, 528, 341, 770, 11294, 6318, 1973, 4006, 538, 31911, 9267, 22756, 610, 890, 322, 753, 547, 707, 27046, 22596, 610, 11491, 7637, 9192, 901, 3340, 513, 2370, 3787, 540, 2979, 543, 15109, 519, 1455, 3099, 540, 1648, 596, 3548, 1142, 1554, 543, 602, 972, 616, 2185, 1648, 829, 6121, 540, 19346, 1280, 3236, 267, 1058, 596, 991, 827, 476, 8517, 8477, 689, 19719, 267, 1287, 596, 9090, 1131, 3804, 547, 3548, 827, 476, 1220, 10101, 540, 19719, 1142, 1554, 1452, 11041, 666, 581, 31067, 14678, 9001, 513, 886, 12528, 610, 2527, 1645, 873, 593, 519, 1560, 6001, 525, 596, 882, 1516, 2566, 799, 568, 513, 9649, 1829, 18503, 538, 2352, 6381, 540, 3987, 1548, 1772, 589, 16453, 10552, 17491, 5426, 14171, 3617, 7378, 18262, 2059, 609, 11311, 2126, 4400, 10552, 17491, 12580, 3117, 11167, 6527, 568, 15695, 585, 840, 31911, 543, 31911, 563, 4913, 267, 596, 786, 991, 547, 1174, 602, 519, 29944, 4994, 1175, 25221, 875, 2576, 521, 7280, 786, 4431, 547, 6980, 593, 1455, 2991, 2921, 2189, 2123, 7648, 896, 7156, 267, 930, 1004, 949, 1294, 513, 3210, 3677, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 610, 6175, 982, 519, 6093, 1215, 596, 1521, 543, 3247, 1164, 1973, 4006, 5673, 593, 519, 2014, 543, 707, 2489, 1134, 1373, 1809, 3622, 267, 621, 26270, 5176, 6157, 2270, 2324, 2059, 609, 707, 2564, 2319, 593, 513, 1544, 5473, 513, 9192, 540, 1259, 540, 1272, 6208, 543, 6527, 602, 666, 4217, 596, 20923, 6023, 707, 1072, 563, 30048, 22577, 666, 1459, 513, 3376, 3099, 540, 2589, 267, 689, 9039, 538, 1022, 2463, 547, 7096, 11337, 2670, 543, 635, 320, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 13832, 593, 519, 7245, 543, 6604, 540, 2392, 328, 3449, 476, 1428, 24336, 12128, 5980, 2817, 12079, 585, 12729, 12128, 5516, 2817, 31452, 585, 519, 6604, 543, 2359, 540, 3987, 538, 1292, 1416, 563, 10112, 2700, 568, 6035, 547, 948, 519, 3461, 1020, 16268, 12003, 1215, 568, 3987, 5701, 2409, 898, 568, 6059, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 602, 476, 2537, 2929, 4892, 1522, 581, 15847, 676, 519, 29757, 476, 10711, 271, 634, 8375, 9860, 540, 2597, 2042, 14626, 1938, 609, 519, 3395, 11841, 540, 3987, 4114, 476, 3393, 540, 891, 6444, 3489, 6099, 1416, 1759, 593, 3964, 31452, 4340, 547, 519, 15509, 267, 519, 22078, 295, 267, 543, 519, 5084, 288, 267, 827, 476, 2412, 540, 4892, 1063, 6502, 476, 2412, 543, 29235, 2185, 723, 2392, 328, 3449, 267, 11093, 873, 693, 11506, 13281, 1973, 4006, 2157, 943, 331, 13550, 3463, 585, 4990, 476, 273, 3987, 543, 9025, 2068, 563, 763, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 8978, 12075, 8947, 585, 3987, 676, 2052, 1775, 13209, 31202, 20945, 609, 513, 1973, 4006, 512, 6856, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 2921, 513, 16145, 693, 2436, 610, 711, 17605, 941, 6537, 547, 606, 1367, 521, 10729, 634, 11114, 267, 4457, 267, 543, 5545, 2453, 585, 3987, 616, 1759, 593, 519, 9838, 1361, 21106, 799, 17538, 4006, 10729, 2068, 769, 476, 10082, 277, 267, 15623, 667, 984, 5459, 9672, 602, 519, 17711, 6492, 540, 10729, 540, 31911, 729, 1317, 540, 4430, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 540, 513, 1826, 540, 4006, 1369, 519, 10729, 543, 1973, 540, 2043, 609, 3987, 30183, 6481, 12128, 5516, 2488, 909, 4586, 1692, 1677, 16473, 12128, 7392, 476, 273, 454, 1729, 4266, 543, 2953, 6114, 547, 2564, 2055, 689, 3782, 4648, 593, 938, 2472, 563, 302, 1537, 1884, 21355, 12185, 2156, 24329, 20039, 585, 811, 982, 476, 276, 5479, 9489, 538, 5001, 10685, 14407, 6455, 829, 29757, 538, 519, 2038, 8938, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 1101, 2540, 543, 941, 519, 16595, 3395, 3296, 540, 3987, 5061, 634, 6646, 1101, 11311, 585, 7392, 4083, 3987, 616, 538, 513, 1362, 540, 7135, 5219, 547, 607, 9829, 517, 2643, 675, 553, 543, 9784, 547, 331, 8117, 29524, 267, 547, 331, 1794, 29524, 267, 1035, 16587, 28411, 29524, 267, 543, 8392, 335, 1886, 29524, 1715, 518, 4915, 538, 519, 9838, 1362, 616, 1631, 3489, 762, 543, 9784, 9848, 10767, 728, 267, 1350, 830, 704, 728, 267, 543, 1350, 760, 714, 728, 1215, 891, 6646, 960, 3884, 512, 1134, 6956, 267, 20866, 267, 789, 2408, 547, 12954, 2281, 540, 519, 18558, 547, 3761, 3063, 7378, 563, 4913, 267, 585, 1034, 1004, 609, 3987, 267, 519, 1977, 12128, 5948, 15565, 606, 589, 272, 290, 540, 9944, 476, 278, 2060, 3908, 3681, 585, 9870, 1973, 2604, 267, 519, 1560, 5673, 593, 519, 1482, 10399, 602, 1205, 15181, 950, 1973, 7280, 568, 1970, 524, 622, 3273, 8533, 267, 610, 19076, 16433, 267, 10399, 547, 1860, 713, 1689, 595, 622, 3273, 26952, 9395, 523, 909, 938, 1973, 8043, 267, 1818, 621, 27162, 615, 585, 519, 4099, 547, 6802, 519, 1973, 676, 1259, 540, 938, 16209, 267, 799, 12651, 1973, 8833, 12580, 540, 1970, 1973, 4006, 18220, 4743, 4617, 267, 17570, 344, 610, 804, 20632, 267, 11821, 267, 17237, 543, 610, 8886, 762, 563, 4415, 4058, 543, 7041, 267, 596, 786, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 1205, 1586, 547, 3339, 1272, 543, 16056, 707, 3232, 3527, 634, 1883, 521, 547, 3406, 856, 3527, 596, 899, 543, 798, 873, 607, 3335, 607, 596, 26270, 1265, 513, 1259, 547, 3143, 2339, 875, 6474, 596, 949, 581, 267, 10169, 3635, 1169, 2582, 1554, 1522, 948, 596, 1747, 707, 1582, 538, 4971, 540, 707, 1272, 30587, 585, 2038, 4191, 540, 3987, 1644, 8459, 4576, 543, 13722, 10552, 17491, 3797, 3680, 10269, 946, 7296, 786, 2333, 519, 1981, 540, 3987, 543, 9025, 2068, 13667, 585, 827, 476, 1789, 3764, 540, 3328, 28491, 2534, 593, 1034, 2395, 540, 519, 3018, 267, 610, 513, 8766, 540, 476, 5611, 3764, 540, 9793, 20659, 3635, 513, 3018, 269, 0, 272, 269, 273, 19766, 7473, 2207, 6730, 5442, 19489, 7246, 3582, 13316, 267, 8950, 7070, 454, 1805, 1442, 9520, 1590, 581, 26256, 714, 656, 540, 1312, 519, 1699, 3902, 540, 741, 6006, 543, 519, 3902, 693, 799, 789, 1616, 547, 6133, 621, 538, 519, 2104, 269, 901, 1281, 711, 3247, 9520, 547, 6895, 2250, 3902, 3270, 543, 4019, 741, 1702, 547, 519, 1459, 269, 11313, 303, 770, 2773, 568, 711, 606, 13525, 540, 2104, 1967, 8730, 607, 519, 6031, 4422, 269, 1677, 2322, 621, 1776, 1259, 267, 3140, 6006, 1239, 4805, 3884, 1406, 2614, 547, 9472, 2104, 6006, 5777, 269, 6271, 1883, 3815, 547, 2015, 538, 513, 9467, 4640, 568, 519, 1764, 540, 2344, 6530, 269, 11038, 1239, 267, 799, 568, 513, 1826, 540, 19180, 1239, 267, 2488, 513, 5763, 540, 1344, 602, 814, 1044, 4922, 1031, 585, 1239, 2079, 4247, 269, 1717, 267, 17782, 6006, 5777, 3788, 513, 2442, 1353, 1888, 585, 9520, 543, 2883, 5640, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 333, 8548, 2532, 22561, 267, 3259, 8548, 2532, 22561, 2187, 1038, 5727, 7343, 569, 782, 22155, 1958, 18344, 6106, 547, 519, 3403, 1535, 780, 1038, 14803, 3701, 454, 1038, 28612, 8894, 2018, 1535, 281, 634, 3403, 2934, 540, 3337, 630, 301, 267, 700, 267, 661, 264, 1141, 715, 568, 519, 16801, 2450, 2676, 25639, 700, 568, 519, 5311, 3259, 630, 25247, 4765, 264, 543, 661, 568, 546, 31200, 5293, 538, 519, 454, 25639, 4020, 528, 540, 1142, 22155, 1958, 18344, 4494, 563, 2018, 1140, 333, 8548, 2532, 281, 1323, 6388, 540, 3728, 4671, 4920, 845, 619, 6230, 27965, 11065, 848, 300, 2532, 454, 4449, 11434, 602, 1958, 3941, 1141, 1142, 3693, 540, 1535, 666, 7390, 547, 563, 2018, 3259, 8548, 2532, 281, 1323, 6388, 540, 454, 4449, 1363, 3728, 4671, 4920, 845, 619, 6230, 27965, 11065, 848, 300, 2532, 602, 1958, 3941, 875, 454, 4449, 1363, 1082, 2609, 1142, 5311, 538, 519, 16801, 5161, 540, 563, 27030, 1038, 8173, 1038, 1948, 16453, 1125, 519, 13968, 454, 1038, 715, 815, 1535, 17482, 314, 271, 2639, 1038, 700, 815, 1535, 17482, 314, 272, 2639, 1038, 1140, 333, 8548, 2532, 815, 1140, 333, 8548, 2532, 610, 9509, 300, 2532, 27331, 267, 3926, 24210, 19709, 341, 823, 994, 1038, 3259, 8548, 2532, 815, 3259, 8548, 2532, 610, 26444, 2018, 20099, 300, 2532, 3287, 269, 2908, 318, 21459, 9230, 301, 267, 1070, 700, 267, 546, 6943, 284, 339, 25403, 269, 842, 5038, 11723, 1038, 1948, 15233, 782, 519, 2981, 619, 454, 1038, 585, 4494, 538, 1582, 7456, 16558, 912, 2018, 1535, 815, 4494, 3287, 267, 1140, 333, 8548, 2532, 284, 3430, 333, 8548, 2532, 267, 3259, 8548, 2532, 284, 26319, 8548, 2532, 2020, 1038, 1948, 15233, 519, 3339, 1436, 952, 2877, 454, 1038, 952, 1582, 8542, 768, 568, 711, 7183, 912, 2018, 1535, 815, 1582, 8542, 768, 3287, 2020, 1038, 2132, 1535, 454, 0, 258, 11822, 1412, 6420, 532, 22839, 262, 3014, 538, 9226, 274, 454, 258, 22731, 6651, 689, 4168, 16399, 589, 25605, 7711, 27717, 14623, 10955, 24728, 692, 5814, 14854, 454, 5814, 15259, 454, 5814, 4351, 692, 16557, 815, 476, 271, 454, 331, 1161, 815, 476, 274, 692, 1233, 815, 14854, 2529, 10547, 4590, 1233, 26644, 2891, 293, 16226, 4787, 625, 676, 21708, 5602, 1233, 12500, 326, 10233, 2891, 13582, 5602, 1233, 15630, 1575, 263, 12296, 284, 8517, 267, 4463, 284, 7785, 994, 1233, 6745, 571, 1356, 263, 271, 2020, 258, 5410, 519, 6345, 454, 16651, 815, 14854, 11053, 31103, 4590, 16651, 4732, 32497, 263, 271, 994, 16651, 4877, 523, 1575, 4590, 16651, 17482, 2891, 338, 13645, 5602, 16651, 269, 10233, 2891, 19009, 5602, 16651, 3052, 9369, 263, 271, 267, 910, 7742, 994, 16651, 6155, 3925, 815, 834, 17380, 5016, 258, 8073, 1592, 540, 1434, 318, 7666, 344, 454, 16591, 318, 7666, 903, 815, 29129, 258, 5410, 519, 1434, 318, 7666, 344, 454, 1721, 9041, 538, 2039, 263, 279, 2187, 825, 1434, 318, 7666, 344, 815, 14854, 11053, 31103, 4590, 825, 1434, 318, 7666, 344, 4732, 32497, 263, 271, 994, 825, 1434, 318, 7666, 344, 4732, 32497, 815, 4351, 27110, 263, 272, 267, 476, 275, 994, 825, 1434, 318, 7666, 344, 4877, 523, 1575, 4590, 825, 1434, 318, 7666, 344, 17482, 2891, 15132, 548, 5602, 825, 1434, 318, 7666, 344, 269, 10233, 2891, 19990, 5602, 825, 1434, 318, 7666, 344, 3052, 9369, 8987, 1911, 267, 476, 7742, 994, 825, 1434, 318, 7666, 903, 6910, 14116, 797, 318, 7666, 344, 9239, 258, 8073, 1592, 540, 3983, 318, 7666, 344, 454, 21112, 318, 7666, 903, 815, 29129, 258, 5410, 519, 3983, 318, 7666, 344, 454, 1721, 9041, 538, 2039, 263, 1015, 2187, 825, 3983, 318, 7666, 344, 815, 14854, 11053, 31103, 4590, 825, 3983, 318, 7666, 344, 4732, 32497, 263, 271, 994, 825, 3983, 318, 7666, 344, 4732, 32497, 815, 4351, 27110, 263, 272, 267, 476, 275, 994, 825, 3983, 318, 7666, 344, 4877, 523, 1575, 4590, 825, 3983, 318, 7666, 344, 17482, 2891, 15132, 548, 5602, 825, 3983, 318, 7666, 344, 269, 10233, 2891, 1042, 5602, 825, 3983, 318, 7666, 344, 3052, 9369, 263, 1911, 267, 476, 7742, 994, 825, 3983, 318, 7666, 903, 6910, 6357, 611, 318, 7666, 344, 2020, 258, 5269, 519, 6755, 454, 5155, 815, 14854, 11053, 31103, 4590, 5155, 19544, 573, 564, 31103, 4590, 5155, 4732, 32497, 263, 271, 994, 5155, 17482, 2891, 338, 13645, 5602, 5155, 269, 10233, 2891, 19009, 5602, 5155, 4877, 523, 1575, 4590, 5155, 3052, 9369, 263, 271, 267, 476, 18605, 994, 325, 2632, 815, 9497, 290, 537, 8175, 2580, 476, 2190, 267, 834, 7538, 5602, 5155, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 263, 16557, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 258, 12793, 454, 3698, 979, 318, 3847, 10031, 825, 6345, 6155, 3925, 815, 834, 3847, 5016, 454, 3698, 979, 318, 2431, 10031, 825, 6345, 6155, 3925, 815, 834, 2431, 5016, 454, 258, 6206, 4580, 645, 4193, 454, 1233, 269, 4289, 523, 4590, 1233, 269, 517, 651, 2988, 816, 263, 2998, 318, 3847, 267, 834, 29381, 5602, 1233, 269, 517, 651, 2988, 816, 263, 2998, 318, 2431, 267, 834, 14738, 257, 9239, 6112, 6936, 912, 825, 1948, 22352, 5496, 454, 825, 530, 333, 269, 26303, 10797, 825, 1948, 8844, 519, 6345, 454, 825, 952, 6345, 6155, 3925, 2652, 834, 3847, 13426, 1038, 1535, 815, 6345, 11859, 14585, 4590, 1038, 1535, 20699, 476, 274, 454, 1038, 6345, 15630, 343, 3287, 2020, 825, 952, 6345, 6155, 3925, 2652, 834, 2431, 13426, 1038, 1535, 815, 6345, 11859, 14585, 4590, 1038, 1535, 6834, 476, 274, 454, 1038, 6345, 15630, 343, 3287, 994, 8931, 825, 1948, 8844, 519, 1434, 16921, 454, 825, 585, 1434, 318, 7666, 344, 538, 1434, 318, 7666, 903, 912, 1038, 586, 815, 1434, 318, 7666, 344, 13885, 14585, 4590, 1038, 586, 20699, 1434, 318, 7666, 344, 4732, 32497, 454, 1038, 1434, 318, 7666, 344, 4732, 1214, 12169, 2020, 1038, 1948, 6744, 952, 1434, 318, 7666, 344, 1055, 5496, 454, 1038, 952, 586, 2999, 910, 4968, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 1434, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 2020, 1038, 1948, 6744, 585, 513, 16580, 609, 519, 6345, 454, 1038, 952, 1434, 318, 7666, 344, 6155, 2700, 263, 16651, 264, 2999, 476, 736, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 1434, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 994, 2018, 6060, 6834, 476, 1015, 454, 2018, 4050, 269, 27234, 4590, 2018, 4050, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 18692, 3546, 6060, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 825, 1948, 8844, 519, 3983, 16921, 454, 825, 585, 3983, 318, 7666, 344, 538, 3983, 318, 7666, 903, 912, 1038, 586, 815, 3983, 318, 7666, 344, 13885, 14585, 4590, 1038, 586, 20699, 3983, 318, 7666, 344, 4732, 32497, 454, 1038, 3983, 318, 7666, 344, 4732, 1214, 12169, 2020, 1038, 1948, 6744, 952, 3983, 318, 7666, 344, 1055, 5496, 454, 1038, 952, 586, 2999, 910, 4968, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 3983, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 2020, 1038, 1948, 6744, 585, 513, 16580, 609, 519, 6345, 454, 1038, 952, 3983, 318, 7666, 344, 6155, 2700, 263, 16651, 264, 2999, 476, 736, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 3983, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 994, 2018, 6060, 20699, 476, 1015, 454, 2018, 2729, 20699, 476, 272, 454, 2018, 4050, 269, 27234, 4590, 2018, 4050, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 18692, 3546, 6060, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 672, 7531, 1233, 6230, 664, 31467, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 2415, 27785, 7531, 3698, 1612, 572, 318, 16911, 10031, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 10797, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 323, 3299, 3186, 8782, 23437, 574, 17210, 825, 2132, 16163, 518, 269, 27785, 318, 16911, 10797, 16911, 815, 1612, 572, 318, 16911, 10797, 5976, 1930, 263, 16911, 8807, 850, 264, 607, 535, 912, 825, 585, 1899, 538, 535, 18667, 6050, 10031, 1038, 1820, 263, 1467, 21858, 263, 16911, 6155, 601, 574, 4917, 672, 692, 2745, 263, 16911, 994, 0, 12528, 18425, 815, 1193, 9272, 2891, 3436, 834, 11723, 2745, 2891, 2005, 781, 513, 5493, 30308, 8442, 952, 3593, 18425, 2652, 3593, 18425, 11468, 18737, 272, 316, 3116, 1820, 2891, 293, 3089, 562, 1695, 5602, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 2904, 476, 476, 276, 476, 2641, 281, 866, 281, 3374, 476, 1001, 279, 692, 287, 10461, 281, 24430, 684, 454, 20701, 258, 4578, 2776, 30112, 22276, 692, 258, 7383, 532, 519, 8021, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21795, 607, 19073, 692, 258, 7383, 532, 519, 10471, 454, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 2004, 318, 9359, 5725, 27406, 5073, 311, 815, 10471, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 454, 344, 815, 10471, 269, 559, 665, 18020, 476, 275, 4940, 11161, 692, 258, 2419, 4474, 28547, 4632, 454, 5228, 28189, 269, 2181, 30112, 1104, 22443, 21886, 18344, 267, 2290, 31640, 21886, 18344, 454, 16932, 318, 21886, 18344, 815, 22443, 21886, 18344, 4590, 311, 18020, 476, 274, 316, 815, 6003, 318, 21886, 18344, 32265, 4671, 4920, 845, 11583, 18020, 476, 274, 7481, 821, 14653, 16780, 18344, 815, 2290, 31640, 21886, 18344, 6262, 1538, 5566, 6958, 324, 2137, 815, 1496, 274, 7481, 311, 815, 835, 14653, 16780, 18344, 32265, 4671, 4920, 845, 11583, 1040, 1729, 6783, 10797, 258, 28300, 546, 16244, 4756, 15972, 454, 311, 815, 2473, 18020, 476, 272, 281, 6540, 258, 590, 5902, 1154, 519, 10471, 883, 519, 9751, 1305, 543, 4530, 1305, 454, 5228, 28189, 6983, 1484, 26371, 9179, 1104, 5721, 15305, 5334, 5902, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 476, 271, 269, 273, 267, 4351, 26077, 815, 476, 271, 2020, 258, 3171, 1155, 2480, 2718, 454, 18851, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 454, 2675, 318, 311, 815, 9208, 306, 5632, 518, 4590, 311, 17601, 815, 1085, 318, 311, 32265, 4671, 4920, 845, 11583, 17601, 994, 311, 15305, 815, 1085, 318, 311, 6745, 4920, 845, 11583, 15305, 994, 2675, 14729, 815, 9208, 306, 5632, 518, 4590, 344, 17601, 815, 1085, 14729, 32265, 4671, 4920, 845, 12169, 17601, 264, 20701, 258, 32086, 519, 2203, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 2958, 31395, 815, 12430, 8802, 1833, 4590, 2958, 31395, 32265, 11583, 17601, 267, 586, 17601, 2020, 258, 335, 1042, 2109, 540, 519, 2203, 454, 344, 28177, 815, 1036, 31395, 4877, 9438, 11583, 15305, 2020, 258, 6665, 783, 1944, 519, 12605, 454, 10823, 31892, 2660, 11583, 15305, 267, 586, 15305, 267, 2681, 6889, 1042, 5602, 10823, 19502, 11583, 17601, 267, 1036, 31395, 4877, 9438, 11583, 17601, 1070, 2681, 6889, 19990, 5602, 10823, 26644, 3488, 3682, 7257, 540, 476, 2004, 3399, 5725, 630, 32086, 1305, 264, 5073, 10823, 11859, 16932, 3488, 291, 8817, 4578, 5073, 10823, 269, 29786, 3488, 3682, 7257, 5073, 10823, 20481, 10797, 28744, 532, 4530, 1239, 543, 10567, 1239, 454, 4206, 815, 19073, 6185, 1092, 20988, 20719, 262, 8002, 783, 9166, 586, 15305, 267, 1412, 303, 9438, 539, 9166, 586, 28177, 348, 2020, 258, 300, 13011, 6268, 454, 5228, 28189, 1104, 14573, 22322, 2745, 3488, 13614, 18104, 18438, 281, 3299, 14573, 32557, 318, 11274, 5193, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 22322, 2745, 3488, 13614, 8293, 1563, 18438, 281, 3299, 14573, 32557, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 22322, 2745, 3488, 305, 2393, 6399, 8293, 1563, 18438, 281, 3299, 5286, 28460, 263, 5471, 7879, 32557, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 2020, 258, 12988, 1189 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 30386, 16482, 258, 825, 585, 1003, 538, 2338, 912, 258, 1038, 1820, 16325, 994, 258, 13872, 258, 3240, 6958, 4233, 263, 273, 2020, 258, 1721, 8520, 454, 11133, 1499, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 267, 476, 280, 2187, 825, 2338, 6910, 9217, 994, 825, 1820, 6600, 31415, 515, 1297, 568, 2715, 328, 348, 5073, 825, 1820, 3488, 763, 2338, 281, 22207, 2338, 994, 2745, 3799, 13246, 2020, 19638, 19638, 19638, 19638, 19638, 1363, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 3698, 2656, 9272, 2187, 825, 952, 711, 3403, 610, 711, 568, 27349, 9272, 267, 1592, 264, 610, 7003, 9272, 264, 10922, 476, 271, 912, 1038, 2132, 3403, 454, 825, 4990, 9272, 267, 476, 271, 267, 7003, 9272, 264, 910, 476, 272, 994, 825, 2132, 3403, 692, 3698, 4990, 9272, 267, 1376, 267, 1439, 2187, 825, 952, 1376, 13843, 1439, 912, 1038, 2132, 454, 825, 22141, 815, 15652, 9272, 267, 1376, 267, 1439, 994, 825, 4990, 9272, 267, 1376, 267, 22141, 910, 476, 272, 994, 825, 4990, 9272, 267, 22141, 1341, 476, 272, 267, 1439, 2020, 3698, 15652, 9272, 267, 1376, 267, 1439, 2187, 825, 952, 1376, 13843, 1439, 912, 1038, 2132, 454, 825, 22141, 815, 3403, 314, 754, 2639, 825, 1775, 815, 1376, 910, 476, 272, 454, 825, 795, 815, 1376, 454, 825, 585, 795, 538, 2039, 263, 11034, 267, 1439, 2187, 1038, 952, 3403, 14728, 316, 2999, 22141, 912, 2018, 1775, 815, 1775, 1341, 476, 272, 454, 2018, 3403, 5157, 3910, 3403, 14728, 316, 815, 3403, 14728, 3910, 3403, 5157, 2639, 825, 1775, 815, 1775, 1341, 476, 272, 454, 825, 3403, 5157, 3910, 3403, 314, 754, 316, 815, 3403, 314, 754, 3910, 3403, 5157, 2639, 825, 2132, 1775, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3403, 815, 1496, 277, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 272, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 271, 2639, 825, 1820, 630, 638, 1157, 9272, 4917, 672, 0, 18411, 1260, 1706, 2581, 1806, 454, 18411, 5814, 942, 692, 320, 815, 10581, 263, 3863, 17750, 2891, 326, 574, 1889, 513, 1297, 281, 834, 11723, 604, 513, 2652, 476, 1911, 912, 13537, 834, 320, 568, 476, 1911, 5016, 692, 604, 513, 2999, 476, 1911, 912, 13537, 834, 320, 568, 1447, 982, 476, 1911, 4840, 19197, 513, 3436, 476, 1911, 912, 13537, 834, 320, 568, 1454, 3677, 982, 476, 1911, 4840, 12828, 912, 13537, 834, 320, 568, 476, 1911, 5016, 454, 637, 815, 6151, 17750, 2891, 4777, 596, 1616, 547, 979, 286, 834, 2020, 604, 759, 31573, 3890, 2652, 834, 13433, 13426, 13537, 834, 921, 848, 1810, 1405, 979, 8627, 4840, 12828, 912, 13537, 834, 758, 1287, 5016, 454, 0, 18411, 339, 787, 910, 4849, 1806, 454, 18257, 7531, 6112, 6936, 912, 453, 339, 787, 912, 453, 453, 31138, 815, 703, 263, 3863, 17750, 2891, 10938, 513, 1297, 281, 27328, 453, 453, 19874, 3248, 453, 21955, 28759, 607, 20093, 912, 453, 13537, 834, 8923, 4283, 513, 1297, 8627, 8347, 1586, 4799, 453, 21955, 912, 453, 453, 1410, 527, 30800, 2745, 834, 628, 1678, 596, 15323, 692, 6112, 6936, 912, 453, 339, 787, 912, 453, 453, 31138, 815, 703, 263, 3863, 17750, 2891, 10938, 513, 1297, 281, 27328, 453, 453, 19874, 3248, 453, 21955, 912, 453, 13537, 834, 8923, 4283, 513, 1297, 8627, 8347, 1586, 3010, 454, 2745, 834, 628, 1678, 596, 15323, 454, 339, 787, 912, 13537, 476, 1911, 270, 271, 454, 21955, 912, 13537, 834, 15965, 676, 476, 271, 8627, 5016, 2745, 834, 13607, 6737, 10590, 0, 18411, 321, 25114, 1222, 851, 910, 1210, 1205, 577, 538, 606, 12808, 1247, 8520, 585, 3403, 910, 1289, 10587, 910, 26603, 1883, 547, 16718, 454, 18257, 692, 5228, 544, 12364, 322, 4135, 1104, 1205, 577, 267, 1205, 3832, 692, 529, 305, 7342, 815, 6936, 692, 3698, 1847, 318, 1575, 10031, 453, 258, 1820, 834, 1575, 5016, 3698, 1847, 5091, 1144, 10031, 453, 258, 1820, 834, 291, 1144, 5016, 3698, 1847, 318, 3847, 10031, 453, 258, 1820, 834, 29381, 5016, 3698, 1847, 318, 2431, 10031, 453, 258, 1820, 834, 2431, 5016, 3698, 2824, 10031, 453, 28744, 834, 1088, 5016, 3698, 9101, 10031, 825, 568, 305, 7342, 815, 8771, 454, 453, 28744, 834, 525, 3874, 5016, 3698, 9337, 17750, 912, 825, 1883, 815, 3921, 263, 1326, 577, 15405, 825, 952, 1883, 2652, 476, 2767, 281, 1948, 2464, 290, 454, 1038, 9101, 4590, 825, 8640, 1883, 2652, 476, 1724, 610, 1883, 2652, 476, 3953, 281, 1948, 11767, 454, 1038, 2824, 4590, 825, 8640, 1883, 2652, 476, 23470, 281, 1948, 22492, 10569, 630, 541, 4900, 267, 535, 10569, 267, 1202, 267, 1642, 267, 3092, 8094, 1038, 1883, 815, 3921, 263, 1326, 577, 15405, 1038, 952, 1883, 2652, 476, 3199, 281, 1948, 291, 1144, 15561, 454, 2018, 1847, 5091, 1144, 4590, 1038, 8640, 1883, 2652, 476, 7761, 281, 1948, 10000, 15561, 454, 2018, 1847, 318, 1575, 4590, 1038, 8640, 1883, 2652, 476, 4037, 281, 1948, 29381, 15561, 454, 1363, 453, 332, 913, 318, 3847, 4590, 1038, 8640, 1883, 2652, 476, 6507, 281, 1948, 14738, 15561, 454, 1363, 453, 332, 913, 318, 2431, 10797, 6112, 568, 305, 7342, 912, 825, 9337, 17750, 3890, 0, 258, 8080, 547, 519, 1770, 8528, 18411, 3963, 9226, 454, 453, 268, 14168, 547, 1451, 454, 453, 268, 32040, 846, 543, 2653, 547, 1224, 543, 1174, 585, 14987, 454, 453, 268, 14066, 2179, 540, 8021, 8831, 621, 781, 10342, 267, 782, 540, 799, 568, 1930, 2707, 899, 9226, 3294, 454, 453, 268, 21964, 3544, 713, 1079, 4374, 256, 1411, 666, 1628, 7270, 609, 9226, 10850, 899, 1166, 2532, 610, 546, 329, 24546, 267, 596, 666, 946, 621, 547, 2911, 547, 3457, 4448, 547, 707, 2780, 910, 899, 606, 818, 18003, 610, 4376, 3116, 267, 596, 666, 25117, 513, 2603, 540, 4247, 593, 707, 2780, 267, 596, 666, 2911, 547, 267, 25117, 543, 8831, 2645, 899, 476, 274, 291, 16655, 267, 15609, 543, 2349, 2658, 543, 3097, 453, 268, 2999, 12133, 811, 4128, 285, 692, 9359, 676, 23842, 543, 16459, 5124, 476, 273, 269, 278, 630, 10059, 2517, 4178, 4877, 3155, 3820, 270, 264, 543, 707, 19463, 1257, 9375, 910, 4427, 331, 830, 7956, 630, 10059, 2517, 4178, 16553, 3916, 564, 2169, 2593, 270, 994, 5408, 952, 9226, 729, 8704, 21453, 256, 286, 910, 12363, 30763, 323, 3097, 18257, 692, 258, 5124, 16522, 1314, 692, 258, 8080, 2336, 2745, 834, 1607, 568, 513, 1376, 5016, 258, 25159, 454, 3240, 318, 19702, 762, 815, 476, 5655, 692, 258, 4425, 1961, 753, 543, 1239, 2010, 2336, 3240, 318, 842, 815, 476, 5655, 454, 3240, 318, 15615, 815, 476, 275, 269, 273, 454, 3240, 10734, 944, 815, 6936, 692, 258, 25849, 532, 2418, 910, 2013, 6213, 2336, 3240, 318, 842, 815, 476, 5655, 454, 3240, 318, 842, 815, 476, 274, 454, 2745, 1250, 318, 842, 692, 258, 1733, 2572, 10628, 910, 30242, 723, 2495, 2336, 3698, 1011, 1712, 10031, 16596, 834, 19447, 6865, 5016, 258, 5124, 568, 606, 14648, 1893, 454, 18411, 1467, 676, 1899, 2336, 3832, 9535, 585, 6959, 454, 18257, 692, 258, 17266, 1899, 8292, 454, 258, 713, 568, 513, 2582, 1899, 6085, 692, 258, 11638, 1899, 8292, 454, 12163, 20123, 559, 710, 6085, 454, 529, 1934, 454, 20701, 454, 258, 4569, 4238, 1341, 910, 2608, 1315, 454, 258, 5890, 9426, 2747, 2878, 454, 258, 3525, 25222, 4939, 692, 258, 11644, 454, 18411, 8620, 513, 4756, 1572, 568, 305, 7342, 267, 1305, 621, 547, 6936, 563, 8620, 513, 4756, 1572, 2626, 267, 1305, 621, 547, 476, 5655, 454, 8620, 513, 4756, 1572, 16302, 267, 1305, 621, 547, 2626, 16302, 454, 18257, 692, 258, 1234, 5115, 454, 258, 4632, 267, 476, 274, 1239, 2010, 267, 26471, 2418, 267, 8292, 267, 2979, 522, 1186, 267, 20800, 2747, 267, 1110, 25222, 7531, 258, 5899, 902, 454, 3240, 6958, 4067, 815, 834, 312, 611, 340, 4840, 3240, 9078, 4067, 815, 834, 305, 1690, 643, 5016, 258, 18521, 12686, 3197, 454, 3240, 318, 24978, 815, 834, 312, 611, 340, 1767, 281, 1422, 257, 296, 666, 1405, 4734, 1631, 256, 315, 3269, 692, 18411, 258, 7457, 676, 12039, 454, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 347, 623, 1923, 744, 1923, 570, 1923, 589, 1923, 570, 1923, 744, 11406, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 476, 476, 271, 567, 476, 272, 567, 476, 273, 567, 476, 274, 567, 476, 275, 567, 476, 276, 454, 18411, 335, 815, 834, 303, 5588, 2969, 302, 4840, 258, 513, 576, 322, 1087, 12673, 3842, 741, 4994, 454, 2745, 533, 314, 271, 316, 1948, 16493, 623, 454, 2745, 533, 314, 274, 316, 1948, 16493, 589, 454, 2745, 533, 314, 275, 316, 1948, 16493, 570, 692, 258, 21642, 2409, 910, 12297, 10035, 910, 2539, 19572, 5580, 4590, 258, 18421, 538, 9226, 568, 606, 1843, 630, 4754, 723, 910, 2409, 267, 10305, 267, 1016, 5035, 762, 994, 2745, 533, 31573, 3890, 1948, 16493, 15837, 454, 2745, 533, 269, 21639, 3890, 1948, 16493, 623, 5588, 2969, 302, 692, 258, 7003, 3890, 910, 3259, 540, 513, 5569, 454, 2745, 7003, 30044, 6958, 4067, 2020, 258, 1193, 3890, 910, 17838, 1875, 268, 1598, 902, 547, 12673, 454, 7032, 815, 476, 274, 269, 1691, 454, 2745, 1193, 263, 7032, 2020, 258, 24614, 12673, 910, 24614, 4632, 609, 12673, 454, 7032, 815, 834, 22764, 1448, 835, 2185, 4840, 2745, 14039, 692, 258, 21642, 6677, 22760, 566, 454, 3240, 6958, 4067, 815, 834, 312, 611, 340, 4840, 3240, 9078, 4067, 815, 834, 305, 1690, 643, 4840, 3240, 12173, 815, 1250, 6958, 4067, 1341, 834, 834, 1341, 1250, 9078, 4067, 692, 258, 1401, 14032, 5569, 7503, 454, 258, 1820, 834, 31435, 257, 1341, 476, 1015, 1948, 786, 12235, 606, 5470, 454, 2745, 834, 31435, 834, 1341, 1193, 263, 1015, 2020, 258, 14474, 1154, 12673, 609, 4939, 454, 3240, 6958, 4067, 815, 6151, 17750, 2891, 7312, 1101, 2012, 281, 19515, 3240, 9078, 4067, 815, 6151, 17750, 2891, 7312, 2063, 2012, 281, 19515, 2745, 834, 15916, 267, 4939, 338, 4939, 338, 256, 8080, 547, 519, 3487, 12317, 10590, 4939, 630, 3240, 6958, 4067, 267, 1250, 9078, 4067, 2020, 258, 20780, 532, 621, 1927, 454, 18411, 7476, 519, 8768, 4408, 543, 4778, 689, 519, 3593, 267, 1711, 6648, 454, 1693, 616, 12223, 454, 1693, 616, 12223, 454, 1103, 8168, 6576, 454, 22437, 2114, 2328, 596, 454, 18411, 17810, 318, 272, 815, 6151, 17750, 2891, 11243, 513, 8768, 281, 19515, 10233, 318, 272, 815, 6151, 17750, 2891, 1432, 2681, 568, 513, 4939, 338, 281, 834, 4939, 630, 17810, 318, 272, 4917, 17810, 318, 273, 815, 6151, 17750, 2891, 11243, 1776, 8768, 281, 19515, 10233, 318, 273, 815, 6151, 17750, 2891, 1432, 2681, 568, 513, 4939, 338, 281, 834, 4939, 630, 17810, 318, 273, 11723, 3863, 17750, 2891, 6701, 596, 4712, 585, 1250, 1390, 6648, 8119, 2020, 2745, 834, 260, 338, 616, 4939, 338, 14826, 260, 338, 616, 4939, 338, 14826, 1103, 8168, 6576, 14826, 22437, 2114, 2328, 596, 257, 4939, 630, 17810, 318, 272, 267, 2681, 318, 272, 267, 8768, 318, 273, 267, 2681, 318, 273, 2020, 692, 258, 13096, 8135, 5399, 910, 1018, 616, 8021, 267, 1946, 5391, 338, 454, 5228, 30220, 1104, 30220, 692, 258, 7351, 11261, 543, 5384, 454, 323, 520, 8135, 269, 852, 10797, 258, 6987, 847, 811, 9623, 689, 30220, 269, 852, 3890, 1843, 454, 852, 815, 30220, 269, 852, 4590, 258, 1631, 13885, 792, 454, 258, 1631, 269, 24629, 454, 258, 1631, 269, 1485, 454, 2745, 1412, 260, 338, 270, 260, 338, 270, 260, 338, 262, 4939, 630, 852, 269, 24629, 267, 1631, 269, 1485, 267, 1631, 13885, 792, 2020, 258, 20780, 621, 782, 1927, 454, 258, 5228, 30220, 1104, 30220, 454, 852, 815, 30220, 269, 852, 4590, 2745, 1412, 260, 338, 270, 260, 338, 270, 260, 338, 4939, 338, 281, 260, 338, 281, 260, 338, 262, 4939, 630, 852, 269, 24629, 267, 1631, 269, 1485, 267, 1631, 13885, 792, 267, 1631, 19544, 712, 267, 1631, 269, 2381, 1393, 267, 1631, 269, 16149, 9239, 258, 10313, 2209, 910, 476, 277, 540, 873, 910, 782, 2132, 6936, 610, 8771, 454, 18411, 2525, 454, 256, 23751, 283, 454, 283, 23751, 11417, 285, 23751, 18411, 258, 29491, 7358, 2209, 454, 18411, 663, 454, 528, 454, 2254, 454, 18411, 3240, 24449, 815, 476, 5655, 454, 3240, 19963, 815, 476, 7918, 454, 258, 1820, 1250, 19963, 2999, 476, 1911, 543, 1250, 24449 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10681, 267, 693, 519, 22193, 4011, 334, 7732, 269, 634, 2146, 568, 14376, 547, 6443, 519, 21191, 2752, 290, 538, 26621, 1234, 3164, 526, 654, 754, 749, 670, 732, 6229, 543, 519, 14172, 23602, 269, 6004, 269, 670, 732, 6229, 568, 513, 1272, 17489, 17055, 540, 4400, 1633, 6019, 269, 1261, 21783, 689, 22193, 4011, 334, 4400, 3427, 267, 6039, 607, 5403, 24490, 540, 519, 22193, 4011, 334, 5403, 8433, 689, 476, 3192, 280, 268, 1960, 280, 267, 543, 849, 6039, 593, 519, 11233, 8274, 543, 4400, 1633, 6019, 24184, 543, 18947, 18299, 523, 779, 8274, 269, 1261, 568, 849, 513, 19622, 1095, 4575, 26744, 540, 7537, 292, 5783, 269, 634, 4563, 3778, 13600, 1982, 786, 8661, 1010, 2146, 1425, 545, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32733, 1299, 18270, 725, 1315, 918, 9774, 5633, 320, 1315, 7991, 6796, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 769, 519, 2295, 540, 10120, 700, 1481, 539, 665, 267, 9624, 2357, 323, 656, 11903, 29288, 543, 3504, 6149, 6821, 267, 31314, 606, 11700, 1511, 1141, 519, 18999, 826, 546, 262, 302, 322, 25577, 910, 519, 11469, 540, 519, 5538, 21112, 2293, 945, 31025, 741, 20339, 883, 6228, 998, 19621, 14235, 269, 3371, 267, 2871, 559, 1335, 267, 513, 1762, 1085, 11171, 267, 1558, 4432, 1047, 267, 513, 13730, 649, 11232, 540, 1913, 4171, 11430, 3740, 23258, 13489, 1042, 1010, 1360, 4295, 269, 4256, 2648, 19806, 15701, 896, 519, 4585, 995, 22401, 540, 519, 12877, 16867, 525, 267, 8272, 337, 1681, 519, 31341, 6681, 2078, 1063, 519, 1004, 543, 741, 17710, 780, 3080, 12556, 995, 10543, 267, 789, 10356, 1472, 31300, 1359, 23156, 2775, 267, 7234, 519, 5767, 3377, 689, 15231, 14252, 269, 1733, 7371, 619, 14612, 2484, 9789, 10513, 8433, 1185, 2366, 922, 900, 1170, 2456, 2899, 811, 267, 934, 6748, 17137, 540, 1934, 3749, 4978, 269, 1306, 2871, 559, 1335, 4050, 2740, 533, 1105, 618, 20801, 338, 24223, 2244, 23339, 543, 4123, 11650, 267, 646, 7948, 1405, 948, 855, 23986, 541, 741, 6643, 780, 14976, 1047, 521, 19042, 7184, 267, 11263, 16439, 3270, 593, 5704, 2299, 18955, 5958, 24224, 609, 6698, 14436, 540, 741, 3838, 2528, 269, 4173, 5639, 5951, 1042, 607, 1352, 4280, 267, 834, 10817, 559, 1335, 267, 798, 596, 2479, 2243, 1946, 938, 1004, 804, 532, 865, 18979, 569, 547, 713, 1893, 5103, 519, 8594, 12482, 3891, 17328, 4310, 267, 6236, 1312, 519, 2597, 540, 1200, 13214, 543, 519, 6286, 11251, 1369, 269, 2060, 9663, 992, 539, 536, 992, 267, 646, 15527, 24617, 267, 834, 22818, 621, 568, 1317, 12769, 11939, 24151, 1945, 3152, 982, 6071, 1913, 1193, 2426, 1927, 282, 621, 4564, 1219, 4800, 1996, 1346, 5275, 547, 16401, 721, 3010, 15463, 4064, 8141, 1194, 609, 5667, 1117, 17229, 267, 2943, 1200, 8207, 2760, 535, 5306, 1229, 269, 2701, 9597, 332, 3293, 28663, 267, 834, 5978, 11937, 10692, 1130, 5050, 569, 1282, 519, 1325, 15927, 839, 1014, 12724, 3547, 267, 21108, 741, 5132, 1996, 1018, 789, 16363, 18348, 14985, 3010, 288, 4090, 776, 16563, 8593, 1063, 873, 1354, 2871, 559, 1335, 4797, 267, 834, 8133, 267, 789, 5706, 539, 1654, 515, 618, 569, 267, 1256, 21349, 2669, 269, 8616, 267, 594, 4898, 952, 972, 6818, 1776, 2601, 3297, 519, 18094, 540, 938, 1893, 1862, 12344, 267, 621, 679, 706, 637, 1813, 547, 922, 7915, 5898, 267, 2840, 2251, 8941, 602, 7544, 30780, 2390, 519, 10772, 543, 16079, 2066, 5553, 3010, 2026, 519, 3781, 20595, 593, 267, 741, 9739, 5283, 4765, 32069, 267, 18343, 2984, 954, 342, 8576, 609, 16060, 540, 5168, 543, 10828, 267, 32161, 1944, 8090, 6382, 4503, 547, 942, 269, 27933, 560, 971, 24360, 2053, 267, 741, 7029, 547, 8497, 741, 2189, 10409, 9371, 10489, 2105, 4250, 267, 4742, 606, 957, 540, 29752, 20174, 1107, 513, 15266, 547, 519, 967, 558, 3386, 6891, 540, 12769, 11939, 807, 3294, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 616, 930, 540, 519, 3909, 543, 2686, 5389, 2404, 609, 12769, 11939, 543, 875, 723, 891, 6766, 1893, 946, 543, 11091, 888, 30999, 11939, 267, 849, 1634, 607, 18999, 826, 546, 262, 302, 322, 267, 568, 513, 23620, 1893, 9275, 538, 8828, 5333, 267, 2694, 540, 7977, 267, 543, 8050, 269, 898, 814, 513, 3638, 2686, 543, 3909, 6561, 6580, 1394, 547, 519, 5664, 12698, 267, 799, 814, 5129, 513, 1713, 1909, 538, 1893, 946, 543, 11091, 269, 2368, 540, 519, 3909, 543, 2686, 5389, 2404, 609, 12769, 11939, 1331, 1384, 272, 269, 6869, 541, 1143, 281, 6869, 541, 1143, 729, 513, 717, 333, 8251, 4168, 3392, 602, 7153, 538, 8828, 5333, 538, 519, 476, 1321, 628, 2540, 269, 6869, 1513, 5156, 538, 12242, 1143, 543, 15653, 519, 7826, 5783, 781, 15796, 543, 5485, 571, 906, 269, 634, 3262, 540, 6869, 541, 1143, 543, 519, 7766, 1325, 15927, 839, 1014, 12724, 1228, 1996, 873, 5129, 513, 1713, 1909, 538, 519, 11091, 543, 946, 540, 12769, 11939, 269, 634, 1893, 2968, 513, 3090, 540, 4187, 1996, 519, 9228, 3909, 543, 2797, 15746, 540, 519, 7187, 3943, 10529, 780, 273, 269, 24410, 21112, 2293, 281, 634, 24410, 21112, 2293, 941, 15023, 945, 1071, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4312, 1044, 1565, 827, 1945, 2731, 4277, 1572, 3955, 26051, 11671, 321, 5735, 24493, 11526, 10657, 269, 898, 12909, 827, 875, 938, 12058, 543, 3347, 616, 4448, 269, 21763, 547, 5873, 811, 827, 621, 2496, 7692, 281, 17610, 267, 7705, 256, 2334, 4992, 3579, 269, 1924, 267, 1018, 1281, 621, 1611, 950, 596, 2161, 938, 12058, 543, 3347, 616, 4448, 2496, 8334, 281, 4270, 267, 4952, 713, 269, 1879, 649, 6108, 942, 609, 1004, 649, 2648, 267, 899, 938, 1920, 610, 2828, 267, 938, 12058, 5305, 6464, 602, 1118, 721, 1745, 1434, 269, 1809, 952, 649, 8044, 609, 2576, 610, 1745, 24949, 267, 938, 2634, 13847, 824, 6464, 602, 666, 1118, 721, 8909, 610, 14221, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 6145, 950, 594, 1404, 609, 1250, 2915, 267, 24898, 267, 594, 2141, 1745, 6126, 26063, 563, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4692, 1411, 5620, 645, 11520, 1656, 645, 13633, 286, 6904, 1772, 1937, 572, 267, 645, 13633, 2107, 645, 11520, 454, 26045, 1072, 2152, 723, 1279, 1044, 519, 1641, 540, 1382, 543, 1719, 1369, 21911, 269, 2986, 519, 21318, 540, 4713, 602, 1860, 1004, 267, 27079, 1467, 22226, 13081, 630, 289, 11520, 264, 543, 645, 13633, 13081, 1796, 856, 1317, 540, 741, 7294, 10835, 26331, 543, 741, 7096, 3310, 593, 875, 1004, 2661, 741, 2729, 563, 4322, 4713, 723, 13631, 519, 3007, 540, 2564, 4648, 267, 3173, 267, 543, 519, 2489, 1857, 267, 20872, 5717, 543, 2055, 827, 741, 3123, 267, 2470, 267, 543, 2126, 2994, 563, 7212, 1142, 4524, 814, 3982, 10368, 7355, 543, 10058, 2934, 267, 811, 1382, 814, 7000, 519, 11495, 10486, 1063, 645, 11520, 543, 645, 13633, 13081, 269, 901, 19427, 814, 19430, 2055, 3823, 519, 1071, 31507, 5270, 540, 891, 1079, 2175, 543, 519, 9465, 547, 4466, 519, 2953, 5868, 543, 5078, 2126, 563, 763, 2376, 649, 1459, 1934, 786, 1491, 538, 513, 2620, 3408, 540, 519, 16799, 540, 645, 11520, 607, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11328, 26051, 11671, 321, 5735, 24493, 11526, 10657, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 10657, 18868, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 7810, 1686, 267, 24816, 543, 23372, 941, 2565, 3334, 540, 4205, 1063, 3864, 13896, 543, 6805, 6082, 267, 11031, 267, 13164, 267, 543, 2950, 269, 1452, 3347, 941, 1419, 1950, 543, 15491, 267, 8032, 676, 2188, 971, 607, 11585, 267, 2528, 267, 9297, 267, 543, 6214, 269, 901, 1576, 1770, 786, 5490, 883, 519, 14960, 540, 891, 24816, 543, 20320, 1894, 267, 1210, 519, 1383, 540, 519, 2078, 1063, 3864, 3935, 9088, 543, 519, 6805, 9082, 789, 11402, 780, 2414, 2253, 267, 621, 568, 1271, 547, 1174, 519, 1523, 540, 24816, 269, 2311, 922, 1034, 2596, 1377, 267, 606, 19710, 568, 513, 6101, 6876, 1063, 1079, 610, 811, 6105, 547, 28111, 585, 8994, 4324, 269, 27469, 949, 1683, 1489, 543, 6351, 547, 835, 1776, 538, 2053, 540, 4655, 610, 6433, 267, 2671, 2200, 543, 1344, 267, 543, 12840, 593, 4745, 3785, 610, 7341, 269, 1717, 267, 24816, 616, 10355, 3160, 12352, 267, 543, 1379, 6384, 666, 6521, 936, 942, 607, 6381, 1689, 780, 1103, 519, 2796, 540, 7810, 1686, 267, 24816, 1063, 17417, 543, 6805, 9082, 941, 1419, 13351, 856, 540, 13766, 269, 1280, 3864, 13896, 267, 9591, 24816, 609, 2199, 11031, 729, 1898, 585, 17516, 1569, 547, 2244, 267, 2200, 267, 543, 4123, 11507, 269, 7087, 9082, 267, 593, 519, 824, 1688, 267, 4718, 24816, 609, 17417, 607, 513, 1797, 540, 11543, 1569, 547, 1007, 4066, 267, 9604, 267, 543, 16167, 538, 741, 1378, 7526, 609, 15180, 11031, 780, 13312, 680, 558, 2329, 267, 29285, 267, 4016, 547, 519, 1148, 540, 10647, 16395, 543, 5883, 3347, 1063, 1114, 2516, 610, 6082, 269, 769, 7810, 5468, 267, 23372, 1419, 3238, 513, 10347, 3666, 540, 1379, 1063, 3864, 13896, 543, 6805, 3401, 269, 5637, 5011, 8179, 547, 4434, 741, 1378, 4690, 1247, 9319, 1930, 4655, 8164, 2009, 269, 24547, 11703, 16395, 1522, 4125, 15377, 540, 13344, 267, 14097, 1129, 902, 267, 610, 11401, 1063, 3401, 547, 1865, 2152, 540, 1455, 6161, 780, 4913, 267, 23372, 729, 711, 2141, 3811, 538, 7303, 5208, 610, 20547, 13882, 269, 4762, 26555, 1223, 8451, 1813, 547, 21390, 267, 2686, 3604, 267, 610, 12721, 6811, 547, 8513, 269, 1879, 13253, 23017, 936, 267, 24816, 1223, 3533, 2490, 883, 15280, 7526, 267, 609, 1312, 5011, 7092, 5230, 9271, 780, 3080, 8037, 1383, 540, 713, 6422, 666, 581, 2938, 538, 519, 1686, 540, 519, 594, 549, 638, 12251, 28583, 2329, 267, 513, 3532, 21597, 540, 2947, 7111, 1977, 6082, 4092, 538, 1018, 568, 1631, 909, 8063, 1715, 3840, 269, 634, 594, 549, 638, 12251, 7620, 3964, 12560, 1894, 609, 10656, 543, 2296, 18318, 267, 945, 13859, 873, 609, 15963, 543, 824, 5370, 538, 5385, 585, 535, 2720, 269, 1717, 267, 607, 3864, 11175, 9450, 31023, 267, 6735, 585, 2244, 543, 2200, 14556, 1881, 267, 3056, 547, 2810, 8082, 543, 5208, 780, 8601, 891, 2591, 267, 519, 594, 549, 638, 12251, 4797, 547, 4497, 538, 23372, 609, 3864, 7060, 2429, 519, 7810, 1974, 269, 1358, 9896, 21308, 609, 519, 3703, 267, 3943, 267, 543, 4892, 267, 5275, 547, 2149, 741, 16285, 543, 16857, 8699, 269, 1717, 267, 891, 3646, 941, 6038, 13777, 850, 267, 607, 3864, 7060, 4797, 547, 1958, 25209, 2390, 594, 549 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 2446, 602, 952, 596, 10839, 513, 2022, 267, 596, 666, 2070, 519, 3735, 343, 12981, 780, 5147, 476, 2420, 526, 267, 476, 1001, 278, 267, 476, 1015, 281, 6795, 6751, 1948, 276, 16588, 5231, 11835, 1441, 281, 7325, 476, 1001, 278, 3245, 281, 21570, 24762, 281, 476, 7906, 8729, 281, 476, 271, 594, 12995, 513, 2370, 3787, 519, 11460, 282, 594, 4126, 594, 1500, 519, 1257, 693, 2547, 513, 2370, 3787, 4443, 585, 2542, 269, 3371, 621, 568, 281, 476, 272, 269, 22263, 779, 2981, 281, 674, 314, 325, 6025, 13580, 815, 3980, 360, 263, 271, 270, 31236, 264, 325, 6025, 264, 324, 317, 329, 395, 484, 6025, 264, 19049, 815, 3980, 360, 263, 271, 270, 31236, 264, 325, 6025, 264, 324, 28260, 329, 22886, 11575, 339, 815, 674, 263, 22886, 264, 28911, 1107, 16070, 6991, 282, 512, 1107, 942, 282, 519, 14263, 9497, 268, 8442, 568, 1031, 1317, 540, 519, 1249, 602, 519, 968, 10177, 951, 539, 892, 5086, 26420, 6025, 264, 568, 6027, 4724, 630, 514, 6935, 547, 264, 519, 1699, 2990, 269, 12763, 540, 519, 4908, 281, 674, 4433, 842, 264, 815, 674, 263, 22886, 264, 815, 1496, 271, 282, 28911, 2999, 476, 272, 22049, 1496, 272, 282, 28911, 815, 476, 272, 22049, 1496, 271, 282, 28911, 285, 476, 272, 22049, 28911, 3436, 476, 271, 476, 273, 269, 769, 2091, 22263, 779, 2981, 281, 535, 6025, 6661, 4501, 360, 8987, 31236, 270, 31236, 264, 293, 6600, 264, 324, 317, 329, 395, 484, 6600, 264, 4206, 284, 3980, 360, 8987, 31236, 270, 31236, 264, 293, 6600, 264, 324, 317, 329, 339, 273, 11027, 325, 4206, 284, 3980, 360, 8987, 31236, 270, 31236, 264, 293, 263, 22886, 270, 273, 11027, 264, 324, 317, 329, 339, 273, 11027, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 6661, 630, 272, 270, 273, 11027, 264, 4501, 360, 8987, 31236, 270, 31236, 264, 293, 263, 22886, 264, 324, 317, 329, 339, 22886, 323, 22886, 815, 674, 24877, 272, 22042, 293, 263, 22886, 13580, 512, 910, 942, 282, 535, 815, 476, 272, 20081, 815, 28911, 270, 273, 11027, 910, 4908, 282, 570, 1107, 1974, 282, 519, 5086, 568, 968, 18878, 892, 543, 1317, 540, 602, 621, 568, 2048, 684, 4621, 30872, 892, 476, 274, 269, 22263, 779, 2981, 4294, 547, 18980, 18042, 12512, 630, 19491, 668, 24599, 1143, 2567, 535, 6025, 264, 815, 589, 916, 514, 263, 22886, 582, 1341, 6543, 486, 264, 9847, 674, 263, 22886, 264, 815, 3980, 360, 263, 271, 270, 31236, 264, 288, 916, 514, 263, 22886, 582, 1341, 6543, 486, 264, 324, 28260, 329, 22886, 11575, 339, 815, 2549, 4501, 360, 263, 271, 270, 31236, 264, 346, 314, 324, 317, 329, 263, 22886, 582, 266, 395, 486, 264, 910, 552, 28260, 329, 263, 22886, 334, 266, 395, 486, 13580, 270, 273, 329, 348, 324, 28260, 329, 22886, 11575, 339, 815, 630, 8649, 270, 273, 329, 25011, 324, 317, 329, 395, 486, 4501, 360, 263, 271, 270, 31236, 264, 324, 28260, 329, 263, 22886, 268, 22886, 334, 264, 11575, 339, 910, 552, 28260, 329, 395, 486, 4501, 360, 263, 271, 270, 31236, 264, 324, 28260, 329, 263, 22886, 266, 22886, 334, 264, 11575, 339, 316, 815, 630, 8649, 270, 273, 329, 264, 346, 324, 317, 329, 395, 486, 15631, 272, 10768, 263, 22886, 268, 22886, 334, 13580, 324, 28260, 329, 263, 22886, 268, 22886, 334, 264, 339, 263, 31236, 270, 271, 264, 910, 552, 28260, 329, 395, 486, 15631, 272, 10768, 263, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 263, 22886, 266, 22886, 334, 264, 339, 263, 31236, 270, 271, 14587, 815, 630, 8649, 270, 273, 329, 264, 346, 324, 317, 329, 395, 486, 314, 272, 10768, 263, 22886, 268, 22886, 334, 13580, 910, 552, 28260, 329, 395, 486, 314, 272, 10768, 263, 22886, 266, 22886, 334, 13580, 348, 815, 11196, 8649, 270, 273, 264, 346, 314, 272, 14370, 22886, 268, 22886, 334, 13580, 324, 317, 329, 395, 486, 910, 1496, 272, 14370, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 395, 486, 348, 815, 630, 8649, 270, 273, 264, 346, 314, 272, 14370, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 395, 486, 910, 1496, 272, 14370, 22886, 268, 22886, 334, 13580, 324, 317, 329, 395, 486, 348, 815, 1496, 8649, 270, 273, 263, 22886, 317, 273, 910, 28911, 334, 317, 273, 264, 6012, 263, 22886, 268, 22886, 334, 264, 324, 28260, 329, 395, 486, 910, 630, 22886, 266, 22886, 334, 264, 324, 317, 329, 395, 486, 316, 815, 2549, 314, 22886, 334, 14370, 22886, 317, 273, 910, 28911, 334, 317, 273, 264, 6012, 263, 22886, 268, 22886, 334, 264, 324, 28260, 329, 395, 486, 910, 630, 22886, 266, 22886, 334, 264, 324, 317, 329, 395, 486, 316, 270, 273, 22886, 334, 815, 2549, 314, 22886, 334, 14370, 22886, 334, 317, 273, 910, 28911, 317, 273, 264, 6012, 263, 22886, 334, 266, 22886, 264, 324, 317, 329, 395, 486, 1341, 630, 22886, 334, 268, 22886, 264, 324, 28260, 329, 395, 486, 316, 270, 273, 22886, 334, 815, 674, 10490, 916, 514, 22886, 582, 25011, 263, 22886, 334, 266, 22886, 264, 324, 317, 329, 395, 486, 1341, 630, 22886, 334, 268, 22886, 264, 324, 28260, 329, 395, 486, 316, 270, 273, 22886, 334, 282, 28911, 815, 28911, 334, 9847, 674, 263, 22886, 264, 815, 589, 1889, 317, 329, 395, 486, 815, 20734, 273, 288, 324, 317, 329, 395, 486, 9847, 32363, 317, 329, 395, 486, 815, 3600, 657, 395, 486, 1341, 795, 2026, 514, 395, 486, 282, 630, 8649, 910, 17931, 282, 589, 1107, 968, 324, 8997, 892, 1871, 282, 6543, 486, 1107, 968, 30976, 892, 3942, 264, 476, 275, 269, 769, 2091, 22263, 779, 2981, 4294, 547, 18980, 18042, 12512, 630, 19491, 668, 24599, 1143, 2567, 535, 6025, 264, 815, 630, 272, 270, 273, 11027, 264, 4501, 360, 8987, 31236, 270, 31236, 264, 288, 1889, 317, 329, 395, 486, 324, 317, 329, 339, 22886, 323, 22886, 815, 630, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 263, 22886, 339, 266, 395, 486, 264, 323, 22886, 1341, 795, 263, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 263, 22886, 339, 266, 395, 486, 264, 323, 22886, 815, 630, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 263, 22886, 264, 323, 22886, 1341, 795, 263, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 263, 22886, 264, 323, 22886, 815, 2549, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 264, 1341, 795, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 264, 815, 2549, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 6600, 264, 4206, 1341, 795, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 6600, 264, 4206, 815, 589, 916, 514, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 910, 795, 8649, 6523, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 815, 589, 916, 514, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 630, 6523, 395, 484, 568, 606, 1256, 1599, 5148, 26420, 6600, 264, 815, 476, 273, 11027, 325, 582, 1341, 6543, 486, 630, 325, 28701, 9087, 264, 9847, 535, 6025, 264, 815, 589, 916, 514, 263, 22886, 582, 266, 395, 486, 994, 5147, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 4905, 281, 5881, 7537, 1948, 277, 18947, 16588, 5231, 11835, 1441, 281, 9947, 476, 1001, 276, 3245, 281, 4789, 24762, 281, 476, 280, 1428, 8729, 281, 476, 27244, 9894, 596, 1413, 693, 519, 3735, 343, 7270, 585, 13004, 594, 6035, 596, 538, 2022, 275, 540, 707, 1433, 8142, 286, 1358, 1223, 4688, 596, 513, 1390, 4308, 540, 960, 269, 8729, 689, 19164, 293, 2135, 454, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6734, 281, 7367, 7537, 5231, 1948, 278, 454, 300, 1897, 692, 16274, 281, 7325, 476, 1001, 278, 454, 5804, 281, 21570, 692, 15803, 281, 476, 7906, 454, 12552, 281, 476, 271, 692, 32621, 912, 20323, 17397, 676, 801, 3999, 9894, 596, 1413, 693, 519, 3735, 343, 7270, 585, 13004, 594, 6035, 596, 538, 2022, 275, 540, 707, 1433, 8142, 286, 1358, 1223, 4688, 596, 513, 1390, 4308, 540, 960, 563, 296, 993, 1175, 3843, 547, 27682, 1250, 2022, 676, 519, 946, 540, 3735, 343, 2483, 3528, 519, 1259, 267, 594, 1175, 4718, 707, 16253, 593, 519, 8212, 8468, 563, 306, 675, 267, 594, 993, 1360, 2484, 689, 1620, 22263, 781, 2981, 1862, 594, 723, 1100, 2192, 16272, 780, 6546, 781, 1946, 1250, 7662, 568, 1862, 1175, 2995, 803, 267, 5225, 267, 2436, 519, 20926, 23650, 568, 2953, 610, 972, 6959, 538, 621, 269, 2334, 781, 621, 1862, 780, 2252, 621, 621, 1932, 796, 1348, 762, 267, 594, 786, 4166, 2022, 513, 1732, 4528, 2854, 676, 3735, 343, 3896, 2807, 780, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 5881, 7537, 5231, 1948, 279, 454, 25938, 1640, 16588, 692, 16274, 281, 4924, 476, 1001, 277, 454, 5804, 281, 5245, 692, 15803, 281, 476, 272, 267, 279, 4375, 454, 12552, 281, 476, 4792, 274, 692, 13043, 10312, 281, 8616, 547, 1265, 856, 563, 32621, 912, 20323, 17397, 676, 19164, 293, 2135, 594, 993, 1175, 3843, 547, 27682, 1250, 2022, 676, 519, 946, 540, 3735, 343, 1862, 1635, 519, 1259, 267, 594, 1175, 4718, 707, 16253, 593, 519, 8212, 8468, 269, 17610, 267, 594, 993, 1360, 2484, 689, 1620, 22263, 781, 2981, 1862, 594, 723, 1100, 2192, 16272, 269, 2334, 781, 1946, 1250, 7662, 568, 1862, 1175, 2995, 803, 267, 5225, 267, 2436, 519, 20926, 23650, 568, 2953, 610, 972, 6959, 538, 621, 269, 2334, 781, 621, 2807, 1403, 621, 621, 1932, 796, 1348, 762, 267, 594, 786, 4166, 2022, 513, 1732, 4528, 2854, 676, 3735, 343, 3896, 907, 2483, 2005, 4667, 607, 952, 596, 616, 2324, 998, 513, 1257, 602, 596, 5749, 1405, 2386, 568, 2953, 610, 711, 269, 2859, 982, 713, 267, 596, 10093, 1405, 6594, 519, 5817, 1570, 1991, 547, 707, 2079, 540, 713, 7606, 960, 780, 2414, 2057, 513, 2009, 9183, 540, 519, 1412, 4565, 785, 3056, 519, 9420, 3299, 621, 1522, 581, 1655, 547, 1445, 593, 1620, 891, 2093, 5094, 689, 713, 835, 2707, 269, 3973, 2097, 1394, 547, 621, 2663, 269, 4746, 1775, 29311, 596, 949, 581, 7996, 585, 2835, 547, 12446, 267, 855, 538, 519, 29291, 621, 949, 581, 4502, 19855, 519, 1357, 585, 1644, 1570, 780, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 2764, 7537, 5231, 1948, 280, 454, 300, 1897, 692, 16274, 281, 7325, 476, 1001, 278, 454, 5804, 281, 21570, 692, 15803, 281, 476, 7906, 454, 12552, 281, 476, 271, 692, 32621, 912, 20323, 17397, 676, 808, 641, 6853, 898, 4667, 607, 952, 596, 616, 2324, 998, 513, 1257, 602, 596, 5749, 1405, 2386, 568, 2953, 610, 711, 269, 2859, 982, 713, 267, 596, 10093, 1405, 6594, 519, 5817, 1570, 1991, 547, 707, 2079, 540, 713, 7606, 960, 269, 1677, 2057, 513, 2009, 9183, 540, 519, 1412, 4565, 785, 3056, 519, 9420, 3299, 621, 1522, 581, 1655, 547, 1445, 593, 1620, 891, 2093, 5094, 689, 713, 835, 2707, 269, 3973, 2097, 1394, 547, 621, 2663, 269, 4746, 1775, 29311, 596, 949, 581, 7996, 585, 2835, 547, 12446, 267, 855, 538, 519, 29291, 621, 949, 581, 4502, 19855, 519, 1357, 585, 1644, 1570, 563, 2005, 568, 1271, 585, 803, 547, 917, 2436, 646, 630, 1492, 2278, 264, 568, 2953, 610, 711, 780, 4517, 538, 519, 29291, 907, 2386, 267, 594, 993, 3843, 547, 2744, 1702, 269, 898, 786, 581, 3500, 543, 2352, 1184, 13718, 5147, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 5392, 7537, 1948, 1015, 18947, 16588, 5231, 11835, 1441, 281, 9947, 476, 1001, 276, 3245, 281, 4789, 24762, 281, 476, 280, 1428, 8729, 281, 476, 27244, 9119, 538, 1880, 568, 711, 513, 5276, 1641, 269, 1635, 713, 594, 1611, 602, 596, 1590, 1451, 513, 3787, 540, 835, 1888, 538, 1931, 547, 1174, 513, 3787, 540, 1776, 1888, 269, 10705, 1702, 540, 519, 2034, 1888, 786, 1287, 1450, 596, 547, 1451, 811, 827, 519, 1101, 269, 901, 568, 513, 3787, 899, 519, 18618 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6499, 547, 1246, 538, 1200, 3723, 25074, 4517, 811, 256, 9596, 811, 827, 803, 610, 8769, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21790, 8566, 583, 17583, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 10791, 1299, 12594, 1315, 12594, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 7025, 10456, 910, 30557, 5455, 585, 4658, 543, 14136, 692, 5331, 6972, 998, 707, 8378, 543, 7487, 7381, 15137, 652, 2931, 3915, 12976, 8673, 883, 519, 6607, 269, 1411, 5469, 602, 1082, 540, 707, 2828, 543, 12543, 616, 3478, 7210, 811, 1419, 982, 8912, 269, 2991, 930, 1382, 267, 596, 3605, 602, 519, 2754, 5665, 1346, 15137, 652, 2931, 814, 1044, 16089, 5739, 6464, 883, 519, 2011, 267, 8380, 3025, 781, 1072, 693, 1981, 269, 901, 3510, 949, 3280, 15490, 267, 855, 621, 4523, 782, 1932, 4749, 1472, 519, 1158, 269, 2334, 781, 1141, 2825, 5126, 2501, 538, 2439, 4089, 476, 272, 281, 1548, 568, 7025, 10456, 2496, 4263, 922, 4295, 267, 2825, 5126, 1797, 4180, 602, 1169, 1268, 1107, 7488, 540, 741, 5198, 267, 14940, 267, 3084, 5169, 267, 4747, 1377, 267, 610, 824, 2188, 1107, 814, 1569, 547, 2973, 1216, 267, 4195, 2011, 267, 2635, 1426, 267, 543, 2922, 2713, 2175, 269, 1879, 2950, 3068, 5533, 610, 13818, 3653, 12871, 4609, 2282, 741, 5321, 267, 3506, 267, 610, 19209, 338, 267, 789, 616, 25409, 4299, 676, 2825, 2800, 269, 1452, 1482, 2950, 849, 4043, 547, 723, 7864, 2200, 547, 4339, 1394, 1996, 3532, 14078, 3743, 585, 3542, 5024, 2238, 269, 1635, 14957, 585, 2825, 5126, 267, 649, 2832, 547, 1711, 12581, 3435, 5466, 1312, 1480, 2924, 543, 8733, 4145, 780, 4089, 476, 273, 281, 7464, 2622, 6201, 692, 2414, 1732, 1174, 2825, 5126, 2152, 267, 1577, 781, 1413, 693, 1079, 1483, 8996, 2665, 1384, 7078, 476, 272, 281, 11146, 22575, 267, 1715, 3840, 630, 3192, 279, 994, 1103, 519, 3735, 476, 5197, 271, 338, 267, 670, 809, 518, 11906, 7577, 1031, 513, 5449, 12324, 3135, 538, 15281, 698, 4673, 22484, 267, 12924, 267, 547, 29746, 6757, 4853, 3653, 269, 13536, 267, 9367, 3710, 8075, 543, 3506, 936, 519, 12617, 22837, 1510, 26655, 7264, 827, 1761, 4220, 269, 5463, 3547, 2663, 267, 538, 476, 3192, 279, 267, 1004, 3459, 8989, 4049, 1072, 2042, 5532, 547, 4598, 547, 6464, 694, 9429, 883, 741, 3490, 906, 543, 8764, 908, 15780, 7727, 269, 11086, 267, 7366, 540, 3885, 1185, 547, 17355, 10663, 741, 5321, 1813, 547, 1164, 2157, 540, 3114, 12526, 269, 5518, 13343, 3240, 25020, 10294, 11146, 22575, 513, 5313, 9568, 1858, 9789, 1101, 942, 971, 513, 17083, 729, 1500, 585, 513, 10821, 2146, 780, 7078, 476, 273, 281, 4469, 842, 4826, 19822, 267, 12309, 630, 1001, 275, 1790, 6974, 994, 14503, 842, 267, 24696, 267, 23564, 922, 1216, 3761, 2707, 689, 8235, 15049, 517, 547, 519, 4469, 842, 5211, 547, 4688, 2724, 269, 1717, 267, 2749, 8387, 8959, 547, 1521, 519, 5757, 1216, 5265, 267, 4929, 1291, 12992, 8876, 6704, 1216, 547, 30599, 1372, 543, 682, 778, 5906, 5666, 540, 1291, 883, 7148, 1216, 269, 1306, 513, 1267, 267, 5215, 540, 1453, 941, 6534, 547, 11506, 1291, 2157, 267, 799, 666, 2014, 3978, 11095, 2152, 269, 6736, 7368, 21855, 689, 7255, 4961, 267, 1533, 543, 2199, 8128, 1705, 2370, 547, 2232, 519, 6433, 2394, 2923, 3007, 7142, 741, 1688, 780, 4089, 476, 274, 281, 14171, 11059, 692, 2026, 2104, 3401, 267, 596, 1932, 666, 3565, 547, 5009, 2825, 5126, 256, 3371, 616, 1614, 3268, 4896, 666, 1491, 1384, 3721, 476, 272, 281, 6258, 2859, 454, 9359, 676, 18997, 3054, 827, 2825, 5126, 2152, 7133, 707, 2199, 2146, 269, 16731, 7270, 899, 519, 7025, 10466, 10837, 630, 292, 5183, 1070, 5682, 701, 864, 267, 610, 23683, 11833, 547, 1451, 811, 827, 1699, 11044, 543, 7341, 780, 3721, 476, 273, 281, 14780, 1047, 17607, 454, 307, 1779, 547, 1920, 2818, 267, 3610, 267, 543, 2828, 827, 1018, 596, 4312, 4121, 269, 9523, 4930, 267, 7044, 267, 610, 1102, 16623, 3842, 1514, 2923, 5867, 547, 3262, 4656, 2417, 269, 5029, 1125, 2621, 610, 5717, 1369, 707, 1153, 610, 2146, 4099, 547, 4497, 1866, 538, 6643, 780, 3721, 476, 274, 281, 5917, 11229, 454, 3725, 778, 856, 547, 11221, 13222, 693, 1585, 2229, 2157, 630, 29985, 267, 1533, 267, 610, 5313, 264, 11589, 707, 6161, 827, 1808, 2825, 5126, 6927, 269, 29934, 1857, 5873, 902, 610, 4884, 31508, 1141, 3664, 18363, 707, 1604, 616, 1373, 5941, 269, 3503, 5022, 547, 15769, 540, 14786, 4687, 707, 4555, 593, 4143, 3584, 269, 12160, 622, 538, 12560, 17600, 610, 23405, 14053, 1689, 780, 6962, 912, 3528, 1620, 543, 14957, 585, 2825, 5126, 267, 596, 1831, 851, 540, 513, 2518, 3350, 20678, 585, 4023, 2126, 543, 3160, 4027, 896, 519, 1876, 585, 782, 2043, 543, 8134, 269, 8625, 267, 649, 666, 1628, 8902, 267, 22928, 267, 543, 811, 8537, 7239, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 4828, 18482, 28825, 268, 10749, 27842, 28825, 268, 4828, 9537, 28825, 268, 11300, 5675, 7151, 454, 19328, 11300, 13360, 902, 27842, 1280, 4841, 454, 2537, 5439, 540, 713, 1826, 454, 2252, 596, 2811, 3168, 585, 606, 10858, 1505, 547, 20928, 1603, 513, 11300, 5675, 827, 3127, 267, 26272, 32487, 2593, 1957, 1603, 3028, 1175, 1522, 581, 2111, 547, 948, 596, 856, 563, 2690, 26784, 267, 596, 1058, 19584, 938, 5318, 6538, 540, 1863, 5439, 602, 3382, 1034, 3309, 3127, 11300, 5675, 3584, 543, 13686, 519, 1655, 4081, 1603, 2853, 269, 4495, 596, 1745, 602, 596, 4312, 23125, 856, 519, 1883, 3741, 540, 1543, 1785, 1005, 543, 3144, 2476, 29829, 2093, 689, 891, 4274, 569, 2854, 11300, 5675, 5439, 267, 3384, 707, 1378, 4081, 960, 1058, 979, 1454, 4443, 563, 4913, 267, 596, 1522, 1869, 1265, 3054, 538, 513, 25896, 950, 1256, 1210, 1283, 27677, 577, 3127, 11300, 13360, 902, 3085, 1405, 1450, 596, 1205, 519, 2816, 12913, 593, 942, 269, 769, 602, 2013, 267, 596, 666, 1205, 538, 5905, 609, 938, 4966, 543, 2307, 873, 547, 4739, 513, 2189, 3127, 1957, 2687, 547, 707, 1367, 884, 857, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20245, 10456, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 6406, 1299, 5274, 7126, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7209, 267, 543, 7850, 3929, 4987, 543, 6568, 666, 7520, 519, 1184, 563, 26452, 18657, 1807, 6163, 2291, 269, 4825, 1600, 16488, 949, 581, 10169, 2976, 894, 543, 4308, 15129, 282, 789, 949, 1683, 8369, 593, 11175, 6724, 269, 4033, 18657, 2209, 949, 9772, 513, 811, 4863, 894, 1935, 267, 13057, 519, 1184, 607, 519, 6105, 10446, 1374, 519, 11175, 269, 17992, 894, 18657, 2209, 6536, 6418, 2242, 602, 12115, 3347, 282, 789, 4225, 2123, 1646, 543, 1279, 3856, 1689, 267, 13156, 11175, 607, 513, 676, 28237, 540, 7096, 6418, 2242, 269, 4787, 2683, 18657, 2209, 3082, 741, 1935, 547, 519, 2470, 540, 519, 15539, 543, 519, 1880, 4170, 540, 519, 6105, 563, 763, 20340, 540, 513, 18657, 1807, 9775, 676, 1533, 543, 1826, 540, 25019, 269, 634, 3044, 10421, 568, 513, 20277, 779, 4110, 267, 1498, 930, 4213, 610, 10470, 949, 4782, 610, 3747, 513, 4487, 779, 4110, 267, 513, 1876, 4110, 267, 610, 513, 15149, 538, 4655, 6571, 269, 2405, 328, 2209, 1590, 4865, 25019, 6791, 543, 2866, 267, 607, 1134, 607, 723, 6192, 7463, 25019, 543, 32404, 2866, 269, 2405, 2747, 2533, 616, 513, 10421, 540, 519, 5934, 20340, 585, 5313, 7694, 269, 476, 3953, 3108, 610, 811, 540, 2866, 538, 4909, 25019, 2553, 269, 2311, 2547, 2947, 13006, 1071, 2173, 2664, 725, 610, 2947, 4830, 1199, 9911, 609, 15028, 10526, 689, 513, 14468, 18657, 1807, 610, 2976, 1807, 616, 2838, 585, 1291, 18657, 2209, 563, 13750, 10391, 1995, 4170, 8428, 267, 855, 519, 5354, 1289, 585, 513, 5934, 1297, 540, 1199, 9911, 5342, 2901, 593, 835, 779, 1378, 610, 896, 519, 5583, 540, 513, 21927, 18657, 1807, 269, 2368, 2829, 3398, 3105, 25019, 1995, 538, 9114, 340, 540, 824, 23944, 28987, 269, 2201, 8317, 267, 513, 18657, 1807, 568, 5697, 1759, 593, 1200, 6791, 538, 513, 1880, 2872, 610, 3924, 269, 589, 18657, 1807, 779, 2702, 547, 10146, 22317, 2152, 3533, 5673, 593, 2872, 10391, 1702, 269, 4197, 562, 32393, 1155, 267, 5389, 267, 543, 10873, 568, 6225, 563, 288, 18657, 1807, 945, 814, 6192, 2866, 3292, 814, 2693, 4607, 930, 6044, 610, 5796, 689, 519, 13384, 1681, 3919, 269, 6969, 3168, 585, 25019, 960, 267, 18657, 2209, 2253, 2866, 609, 606, 4274, 1310, 13215, 519, 2571, 1983, 269, 6969, 13197, 4830, 960, 267, 14971, 18657, 2209, 3335, 5721, 585, 909, 547, 513, 1032, 609, 606, 4810, 4274, 538, 741, 2361, 269, 1358, 2744, 1702, 540, 519, 25019, 5650, 267, 4217, 609, 2665, 267, 543, 1020, 3811, 15539, 6571, 1983, 1282, 713, 2866, 1974, 563, 1805, 919, 602, 2226, 4013, 5480, 18657, 1807, 887, 9094, 3335, 3747, 476, 736, 1700, 2412, 3108, 540, 14468, 25019, 2866, 269, 4107, 2829, 609, 3102, 1533, 4204, 4441, 3747, 811, 2866, 689, 22011, 1023, 945, 1616, 547, 1199, 5573, 1920, 7526, 982, 789, 798, 689, 1346, 945, 1616, 547, 1199, 5573, 3540, 13882, 269, 4400, 4655, 3871, 616, 1455, 538, 6469, 1894, 2665, 267, 543, 519, 5354, 540, 519, 6105, 616, 1396, 580, 1218, 945, 2099, 2933, 269, 7731, 5480, 18657, 2209, 1590, 581, 8499, 5432, 609, 519, 16082, 540, 971, 2665, 1317, 789, 4749, 960, 609, 6105, 945, 616, 711, 5432, 609, 519, 1876, 563, 4263, 4693, 267, 621, 568, 22232, 547, 3489, 519, 6437, 3857, 2801, 543, 824, 27367, 3877, 540, 519, 4966, 267, 855, 6105, 4749, 7340, 547, 798, 519, 1482, 585, 519, 18657, 1807, 269, 898, 568, 1271, 547, 1205, 1022, 1344, 519, 18657, 1807, 949, 723, 827, 1010, 2930, 1702, 543, 5924, 1995, 7231, 609, 519, 10848, 540, 519, 2013, 267, 4470, 593, 519, 1826, 540, 2013, 602, 786, 581, 25358, 269, 898, 568, 849, 5363, 547, 917, 799, 22875, 519, 18657, 1807, 5097, 2853, 538, 543, 2436, 789, 723, 1995, 8204, 27674, 14554, 610, 9718, 1218, 538, 5480, 2665, 269, 634, 18657, 1807, 666, 581, 811, 10388, 952, 789, 616, 5432, 609, 519, 3656, 1062, 543, 519, 14789, 3238, 267, 1519, 519, 1761, 21139, 7535, 543, 16488, 269, 18833, 2436, 519, 18657, 1807, 568, 18164, 827, 519, 2152, 1373, 4843, 267, 971, 607, 1761, 4070, 267, 2564, 267, 610, 813, 749, 622, 2152, 267, 568, 2629, 269, 589, 18657, 1807, 945, 568, 3222, 540, 891, 2152, 543, 18164, 827, 873, 666, 1152, 948, 519, 2013, 581, 17251, 563, 288, 1259, 547, 10018, 930, 16169, 543, 2298, 22059, 568, 998, 13995, 269, 589, 1434, 3318, 1646, 4316, 267, 13995, 6087, 519, 18657, 1807, 547, 4309, 2565, 5955, 593, 741, 5759, 543, 18657, 1807, 7459, 269, 589, 13995, 267, 593, 519, 824, 1688, 267, 968, 785, 545, 919, 602, 606, 1367, 814, 1558, 1978, 9138, 20340, 4441, 2223, 1519, 2069, 543, 2866, 267, 814, 1044, 11117, 676, 824, 31717, 4648, 267, 543, 814, 8810, 513, 1978, 1377, 540, 16169, 538, 13076, 609, 4441, 1305, 676, 10470, 267, 3318, 3906, 267, 610, 824, 4703, 563, 2414, 1831, 14468, 607, 513, 18657, 1807, 267, 513, 1268, 1590, 2347, 513, 476, 2412, 16923, 3102, 25019, 2866, 1982, 267, 12160, 622, 607, 513, 18657, 1807, 630, 548, 611, 543, 5924, 21088, 18657, 1807, 264, 538, 4557, 610, 811, 2665, 8720, 513, 5934, 540, 476, 1911, 3108, 267, 13159, 606, 5993, 10421, 540, 11173, 2069, 267, 2866, 267, 543, 1995, 267, 543, 2806, 728, 676, 519, 18657, 1807, 779, 8943, 540, 18430, 543, 15979, 8889, 543, 30332, 563, 306, 3726, 1464, 540, 519, 2405, 2747, 7844, 454, 1103, 519, 2475, 267, 621, 779, 2629, 547, 1491, 519, 18657, 1807, 779, 17356, 609, 519, 25019, 2203, 883, 2272, 950, 7446, 513, 18657, 1807, 269, 634, 3903, 540, 519, 18657, 1807, 19262, 6297, 7156, 1317, 267, 1256, 1498, 789, 4465, 1406, 581, 1818, 513, 3375, 593, 519, 26350, 540, 519, 15539, 267, 789, 949, 723, 513, 1713, 1764, 593, 875, 1919, 2490, 856, 563, 763, 2702, 547, 3715, 29037, 609, 1142, 540, 519, 11722, 532, 6105, 267, 610, 513, 2078, 540, 1620, 267, 6568, 267, 543, 3972, 267, 568, 2808, 676, 18657, 2209, 547, 581, 519, 1898, 2298, 540, 513, 3811, 18657, 1807, 269, 769, 1931, 547, 1265, 513, 11175, 602, 568, 3858, 762, 547, 1312, 6105, 267, 29037, 7512, 1930, 2792, 1063, 519, 6105, 543, 519, 18657, 1807, 563, 2690, 3236, 267, 18657, 2209, 666, 4196, 607, 2156, 24329, 610, 31717, 2976, 2209, 269, 589, 1507, 12102, 540, 4810, 18657, 2209, 666, 1685, 1312, 3252, 267, 855, 519, 5318, 5354, 540, 18657, 2209, 4043, 547, 20647, 607, 2901, 2156, 24329, 610, 2013, 2976, 2209, 269, 901, 568, 606, 1271, 11984, 602, 519, 6105, 1590, 581, 3222, 540, 538, 7446, 513, 18657, 1807, 563, 2304, 4810, 30549, 666, 948, 519, 6105, 3914, 513, 11175, 267, 855, 786, 3335, 581, 540, 1100, 946, 547, 513, 5428, 602, 568, 18617, 621, 568, 1318, 538, 1169, 3409, 543, 602, 621, 568, 711, 4502, 1818, 1713, 598, 947, 687, 610, 882, 22055, 5109, 2924, 538, 5385, 585, 513, 2656, 6571, 269, 589, 1434, 2013, 2976, 1807, 267, 593, 519, 824, 1688, 267, 949, 1683, 519, 6105, 609, 606, 9237, 543, 6325, 4879, 540, 741, 2013, 855, 19330, 519, 19908, 1983, 2556, 547, 3142, 519, 6105, 6251, 1927, 563, 6524, 6966, 532, 513, 1880, 1268, 607, 513, 18657, 1807, 267, 519, 5428, 1058, 3313, 2436, 621, 5097, 3340, 513, 30549, 610, 513, 2013, 2976, 1807, 267, 543, 1287, 3442, 519, 9043, 540, 18657, 1807, 945, 2887, 1369, 519, 5551, 7121, 563, 22025, 1113, 4762, 26555, 540, 9314, 454, 18183, 26555, 540, 1719, 2049, 950, 513, 18657, 1807, 814, 513, 7196, 538, 519, 6571, 540, 519, 25019, 593, 513, 2123, 610, 2883, 1377, 267, 799, 1223, 14207, 741, 1843, 2032, 610, 7115, 269, 4438, 519, 25019, 1184, 267, 18657, 2209, 538, 519, 7330, 616, 8078, 730, 547, 30035, 1022, 1761, 7526, 540, 1719, 602, 1522, 2291, 269, 901, 568, 2629, 1317, 621, 5849, 519, 18657, 1807, 779, 1843, 2032, 543, 519, 6015, 540, 782, 6105, 538, 519, 25019, 1184, 563, 288, 4655, 540, 1719, 4386, 950, 1022, 2078, 1063, 519, 18657, 1807, 543, 25019, 5171, 610, 519, 15539, 779, 1641, 2339, 8332, 2478, 610, 5526, 547, 14207, 519, 18657, 1807, 779, 31717, 640, 269, 23225, 540, 519, 6381, 616, 7396, 2630, 563, 268, 2405, 328, 2209, 666, 723, 513, 4655, 540, 1719, 952, 789, 723, 513, 2123, 610, 3318, 2078, 609, 513, 25019, 16045, 610, 952, 789, 616, 3238, 538, 519, 15539, 563, 268, 589, 18657, 1807, 4927, 11198, 689, 610, 7771, 547, 8399, 609, 519, 25019, 952, 513, 4655, 540, 1719, 1223, 21230, 581, 9763, 607, 14944, 1456, 519, 25019, 779, 8699, 267, 7488, 540, 519, 6105, 685, 6829, 7287, 610, 6876, 563, 268, 589, 18657, 1807, 4927, 711, 3715, 1776, 2078, 609, 1022, 16045, 538, 1022, 2339, 602, 1131, 1289, 883, 2243, 519, 25019, 779, 8699, 563, 303, 878, 532, 543, 3171, 525, 454, 293, 4315, 616, 1776, 3815, 602, 1590, 581, 3144, 883, 2272, 269, 2405, 2747, 568, 513, 6976, 13567, 267, 543, 3928, 949, 4268, 269, 634, 1942, 540, 25019, 9775, 1759, 593, 519, 1995, 267, 4087, 267, 543, 5662, 569, 2557, 540, 519, 18657, 1807, 269, 2368, 18657, 2209, 5279, 513, 6366, 13927, 267, 1247, 1866, 3915, 676, 519, 5662, 269, 634, 1942, 540, 25019, 666, 2039, 1063, 1896, 4627, 543, 1896, 8536, 9489, 563, 1692, 13518, 1684, 2405, 2747, 7896, 8779, 888, 300, 27467, 2533, 616, 9901, 676, 519, 5662, 269, 634, 1942, 540, 25019, 9775, 2066, 519, 2197, 267, 855, 621, 568, 30050, 538, 6476, 547, 519, 13258, 540, 25036, 269, 15380, 267, 12375, 2992, 519, 4282, 267, 2866, 267, 2069, 267, 543, 1995, 540, 519, 18657, 1807, 269, 2368, 18657, 2209, 2569, 741, 3928, 607, 811, 3108, 616, 1433, 539, 267, 1247, 1866, 1904, 547, 5279, 513, 6366, 2557, 269, 634, 5354, 540, 5480, 22190, 31212, 18657, 2209, 5279, 12375, 593, 513, 23510, 4336, 267, 799, 4357, 18657, 2209, 849, 1683, 269, 634, 23510, 4336, 1505, 13279, 12375, 593, 519, 7817, 779, 4747, 563, 27039, 593, 519, 18657, 1807, 267, 1826, 540, 15539, 267, 543, 4087, 267, 25019, 2533, 616, 536, 2683, 2901, 676, 519, 5662, 610, 676, 519, 1554, 269, 634, 5662, 569, 2557, 666, 2039, 1063, 1269, 1911, 543, 1269, 8517, 267, 543, 519, 3232, 2557, 1063, 1269, 20981, 543, 1269, 279, 267, 1822, 269, 2368, 18657, 2209, 949, 849, 5279, 3606, 12375, 585, 2013, 2359, 610, 585, 1808, 2533, 269, 634, 5354, 540, 1199, 9911, 2063, 835, 547, 1614, 2395, 563, 19613, 267, 18657, 1807, 1995, 267, 543, 15539, 6988, 666, 1860, 25019, 3790, 563, 8512, 625, 666, 849, 8237, 25019, 3790, 269, 901, 666, 9004, 519, 4743, 602, 835, 5428, 568, 9878, 811, 540, 519, 12375, 543, 5000, 513, 2656, 6571, 269, 7040, 12375, 616, 7199, 269, 2405, 2747, 666, 4688, 5215, 540, 9489, 538, 3656, 12375, 543, 1491, 3275, 547, 2347, 269, 634, 3790, 540, 513, 5480, 2013, 666, 6861, 513, 2078, 610, 1920, 267, 855, 513, 25358, 6876, 949, 948, 1832, 3984, 1988, 1970, 543, 1450, 519, 7008, 547, 3251, 593, 1434, 2474, 563, 7197, 2829, 2709, 1970, 21057, 1920, 25019, 267, 543, 930, 2154, 26692, 25019, 538, 16028, 2665, 269, 17721, 5662, 569, 1790, 4660, 18657, 2209, 666, 849, 1683, 25019, 269, 30374, 2173, 2664, 2209, 5279, 811, 982, 1875, 18607, 2173, 2664, 2209, 267, 543, 3928, 4096, 593, 519, 18657, 1807, 779, 7463, 2866, 543, 22754, 267, 13664, 1858, 267, 543, 1995, 630, 5976, 2362, 3928, 538, 23195, 2127, 1040, 2368, 4357, 25019, 7426, 2709, 4747, 2861, 23510, 4336, 12375, 563, 300, 27467, 3790, 4096, 593, 15539, 3259, 269, 13216, 2152, 2154, 811, 7886, 547, 8207, 269, 1717, 267, 1930, 2792, 543, 14207, 666, 3432, 909, 25019, 269, 11038, 29801, 267, 1483, 10040, 813, 20333, 619, 267, 543, 16468, 2272, 8237, 1562, 666, 849, 1860, 621, 269, 1452, 4966, 1942, 811, 982, 18657, 2209, 855, 1447, 982, 4693, 17864, 563, 1103, 519, 2136, 2276, 267, 972, 616, 1585, 536, 3739, 3681, 585, 18657, 2209, 269, 28914, 569, 536, 3739, 267, 829, 1606, 11970, 536, 3739, 267, 543, 10189, 536, 3739, 616, 513, 1906, 1806, 269, 1879, 513, 18657, 1807, 10997, 606, 5662, 569, 2557, 585, 741, 2533, 267, 713, 568, 5219, 547, 607, 5662, 569, 536, 3739, 269, 634, 2557, 9775, 1759, 593, 519, 18657, 1807, 543, 519, 4087, 540, 519, 25019, 269, 1879, 536, 3739, 829, 8400, 267, 519, 18657, 1807, 10997, 513, 13927, 585, 1142, 8400, 269, 1879, 513, 18657, 1807, 10997, 513, 6366, 13927, 585, 513, 10189, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 519, 13013, 11190, 6042, 602, 2232, 891, 10898, 543, 519, 3937, 543, 5773, 602, 5520, 1058, 946, 547, 960, 609, 873, 9108, 563, 763, 834, 299, 9554, 8881, 538, 14716, 2037, 4921, 8881, 14173, 257, 1982, 11828, 1114, 2010, 540, 561, 5417, 619, 267, 519, 10898, 602, 666, 581, 2404, 609, 873, 267, 543, 875, 5520, 666, 960, 609, 873, 9108, 563, 5415, 4070, 4600, 5884, 689, 9991, 689, 513, 4463, 1657, 3670, 3952, 269, 4937, 4070, 30714, 5216, 1085, 1170, 528, 12740, 1644, 7972, 1142, 1032, 269, 22484, 689, 606, 11506, 3760, 616, 3361, 5097, 676, 513, 11832, 779, 22247, 957, 971, 607, 6028, 10766, 11800, 796, 3430, 3737, 267, 605, 6137, 519, 10766, 1930, 267, 610, 16246, 909, 593, 610, 10709, 532, 936, 519, 9856, 571, 559, 1062, 269, 901, 1982, 779, 3584, 1331, 21934, 13783, 267, 3123, 540, 21934, 13783, 7063, 267, 2596, 4238, 267, 14791, 267, 543, 3106, 11974, 563, 2467, 814, 1044, 865, 1454, 1344, 827, 1793, 2354, 267, 15143, 267, 543, 8813, 602, 1082, 1004, 616, 1100, 3476, 9878, 3007, 269, 6215, 2354, 543, 8813, 1031, 547, 581, 519, 2101, 3123, 540, 7063, 269, 1703, 616, 2665, 1141, 1004, 941, 22393, 14593, 1524, 24383, 269, 1703, 723, 1044, 513, 2647, 2039, 540, 10913, 538, 519, 9036, 689, 1169, 10703, 22133, 2014, 269, 4634, 2882, 4881, 883, 9885, 610, 9885, 4881, 883, 1004, 269, 808, 18804, 689, 11506, 7252, 814, 3361, 3833, 513, 1906, 7063, 538, 14060, 849, 269, 0, 6635, 4226, 1674, 568, 513, 1106, 540, 4244, 15539, 6571, 630, 4696, 305, 1040, 6145, 824, 3029, 540, 5084, 305, 267, 621, 568, 1031, 607, 513, 1505, 540, 5480, 21084, 269, 769, 32404, 267, 606, 31717, 3791, 5428, 267, 2048, 1492, 11737, 15249, 8730, 30650, 519, 15539, 1063, 519, 6105, 269, 2991, 6217, 519, 15539, 789, 2097, 547, 513, 3375, 799, 568, 16155, 11006, 593, 1312, 6105, 269, 1488, 4226, 1674, 1876, 2636, 2901, 5428, 547, 9029, 547, 519, 5480, 952, 27025, 30829, 609, 519, 11737, 15249, 779, 3375, 563, 6635, 4226, 1674, 1876, 543, 3652, 616, 18170, 676, 519, 1488, 4226, 1674, 2920, 476, 1960, 277, 269, 7201, 32404, 1876, 267, 32404, 666, 1152, 581, 1031, 607, 513, 1505, 585, 20547, 513, 15539, 952, 1312, 6105, 9844, 547, 1210, 621, 563, 6635, 4226, 1674, 568, 1373, 1031, 811, 4749, 1813, 547, 922, 9228, 2640, 269, 898, 568, 4357, 267, 1419, 14949, 982, 25036, 543, 849, 1447, 6101, 982, 25036, 269, 1488, 4226, 1674, 814, 1044, 1031, 538, 4922, 538, 5010, 8658, 269, 1280, 1383, 267, 621, 568, 1419, 1031, 547, 8207, 4579, 783, 13882, 1063, 4213, 269, 10705, 267, 5010, 11731, 2270, 606, 32404, 16083, 269, 901, 16083, 10416, 2829, 602, 538, 519, 2013, 540, 1022, 13882, 1063, 519, 6105, 267, 32404, 786, 581, 1031, 547, 8207, 873, 563, 2026, 32404, 1876, 2356, 2488, 585, 519, 3375, 540, 519, 11737, 15249, 547, 581, 16155, 11006, 267, 621, 568, 16122, 602, 596, 4051, 513, 1151, 545, 3218, 547, 2099, 596, 538, 32404, 5873, 902, 269, 1488, 4226, 1674, 5873, 902, 267, 4352, 1447, 6101, 982, 5480, 267, 1869, 2154, 4274, 3656, 13222, 547, 2322, 4464, 707, 2013, 607, 3927, 607, 2009, 269, 13751, 13222, 666, 849, 948, 596, 9029, 519, 3375, 540, 519, 11737, 15249, 952, 596, 616, 711, 13854, 609, 621, 563, 2252, 596, 1131, 899, 547, 3489, 3656, 5796, 543, 1344, 593, 32404, 543, 519, 4143, 1876, 267, 595, 13273, 666, 2322, 596, 538, 5905, 609, 513, 2199, 11285, 6406, 22175, 12720, 3752, 545, 3218, 1863, 540, 5279, 269, 1924, 267, 952, 596, 723, 1022, 2055, 610, 1131, 899, 938, 948, 538, 4466, 2199, 6406, 22175, 12720, 3752, 545, 6002, 5225, 1289, 721, 593, 476, 24699, 271, 476, 10082, 278, 476, 15757, 610, 2347, 519, 1357, 27322, 1657, 269, 0, 1103, 519, 11477, 7706, 267, 9319, 9568, 6238, 609, 513, 2973, 10051, 269, 15332, 15312, 267, 513, 5544, 1652, 10051, 568, 513, 28183, 1996, 1761, 10898, 269, 8617, 7738, 13467, 2327, 3106, 267, 7303, 10913, 543, 5009, 1426, 9882, 269, 3245, 3232, 4247, 547, 12353, 2620, 7738, 267, 1142, 1900, 8309, 547, 9568, 6604, 269, 9605, 3106, 3800, 543, 11641, 1852, 1831, 811, 2500, 538, 513, 1134, 31720, 22633, 10051, 269, 589, 804, 13616, 6954, 2230, 543, 1697, 3653, 2359, 3986, 3919, 543, 27194, 267, 1247, 2973, 6539, 29353, 849, 6536, 1732, 11255, 2011, 2298, 543, 3565, 547, 2790, 1134, 5630, 269, 1280, 5010, 6539, 29353, 267, 2533, 899, 13317, 29673, 32431, 27686, 1683, 14468, 7738, 6791, 538, 4509, 513, 31978, 545, 543, 2922, 1604, 563, 763, 19043, 540, 28881, 11162, 17349, 454, 1103, 519, 7706, 540, 10051, 27194, 267, 26724, 3106, 568, 14063, 269, 589, 2973, 10051, 3648, 6971, 519, 1981, 540, 10913, 543, 1761, 10898, 269, 13068, 4831, 339, 3591, 543, 6896, 5624, 7413, 519, 8458, 540, 1793, 2354, 267, 15143, 267, 543, 8813, 269, 8617, 7738, 13467, 849, 2232, 6456, 12178, 267, 971, 607, 29908, 610, 3765, 31419, 27022, 269, 3958, 267, 513, 804, 13616, 6954, 1604, 10597, 15287, 267, 4180, 513, 10930, 5986, 543, 1426, 7041, 1995, 269, 1635, 1818, 3106, 513, 10862, 538, 10051, 27194, 267, 2043, 1711, 513, 5150, 11477, 10093, 602, 24024, 519, 1761, 585, 10913, 543, 8992, 513, 5150, 543, 2566, 6954, 5986, 1604, 563, 763, 4276, 1063, 10051, 27194, 543, 1426, 9882, 568, 26837, 4192, 269, 589, 2973, 10051, 568, 519, 1101, 1899, 540, 8878, 1996, 1426, 13871, 10108, 269, 9061, 9762, 8727, 267, 513, 1455, 27521, 538, 22247, 6539, 29353, 267, 568, 7339, 730, 998, 22111, 7738, 2853, 269, 8617, 771, 26529, 540, 7252, 267, 5969, 12545, 267, 543, 27022, 5849, 602, 5739, 4551, 616, 6854, 693, 15922, 269, 5047, 267, 513, 9846, 2973, 10051, 1604, 8992, 513, 2528, 540, 2922, 1426, 7829, 269, 1635, 8508, 1426, 9882, 607, 606, 7533, 851, 540, 10051, 27194, 267, 2043, 711, 1152, 16102, 741, 1072, 855, 849, 3565, 547, 519, 2949, 1134, 5630, 540, 1346, 789, 4196, 563, 7093, 24000, 519, 24619, 540, 5253, 13871, 4576, 912, 18439, 519, 2565, 1909, 540, 4509, 513, 2973, 10051, 538, 17420, 1996, 519, 6771, 540, 1426, 13871, 10108, 269, 1133, 16225, 519, 2853, 543, 3800, 2556, 547, 2327, 513, 31978, 545, 5986, 1604, 267, 7863, 1312, 2043, 543, 1857, 1072, 563, 18719, 704, 569, 19345, 6539, 29353, 666, 22426, 5739, 4551, 267, 971, 607, 661, 269, 19546, 267, 27187, 267, 543, 853, 20942, 19905, 28857, 267, 799, 666, 2014, 1426, 13871, 4576, 269, 1452, 10108, 666, 1291, 547, 13481, 267, 13165, 267, 25574, 267, 543, 1256, 2669, 563, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 606, 6059, 476, 4366, 2929, 4892, 1205, 7210, 689, 1426, 13871, 4576, 1142, 1032, 267, 476, 12553, 267, 1822, 616, 32509, 267, 543, 476, 274, 267, 1822, 5884, 563, 763, 24093, 540, 10598, 22162, 28881, 27686, 454, 16914, 636, 4327, 31294, 538, 9688, 26372, 338, 543, 28954, 13514, 513, 1713, 3595, 1981, 269, 10598, 22162, 2834, 7738, 4679, 519, 10171, 540, 513, 10051, 3595, 9568, 269, 14173, 29353, 267, 14297, 32387, 540, 2534, 267, 616, 849, 28326, 26105, 585, 1761, 3595, 10898, 269, 13983, 848, 19221, 538, 9688, 26372, 338, 13514, 513, 1713, 1981, 267, 1818, 2834, 7738, 14063, 269, 11483, 32431, 11162, 518, 2533, 1404, 513, 2629, 1909, 538, 19086, 3595, 10898, 676, 4180, 9488, 543, 12333, 27686, 540, 1401, 9151, 7010, 563, 16914, 636, 4327, 31294, 267, 513, 29200, 3595, 5787, 656, 267, 568, 29367, 6569, 267, 4227, 519, 1981, 540, 10051, 11642, 269, 8617, 7738, 711, 1152, 5360, 625, 609, 3106, 6042, 855, 849, 10597, 519, 2949, 3595, 3106, 540, 519, 10051, 269, 2060, 11483, 32431, 11162, 518, 267, 6539, 29353, 666, 18390, 10994, 3595, 10898, 267, 2870, 513, 10930, 11477, 1604, 585, 782, 563, 10890, 543, 8881, 15329, 725, 454, 10890, 543, 3106, 19374, 3277, 547, 23563, 540, 6042, 2966, 547, 2149, 2043, 689, 2800, 610, 5945, 538, 1585, 5054, 267, 1519, 28737, 543, 1857, 5624, 269, 1452, 19374, 7854, 513, 2039, 540, 1055, 5151, 267, 971, 607, 5821, 547, 1683, 7850, 8825, 3937, 267, 16283, 2866, 267, 22247, 2324, 2175, 267, 543, 16789, 7829, 540, 13818, 2326, 563, 11754, 7675, 1072, 543, 3106, 19374, 568, 2629, 547, 4509, 513, 5150, 1604, 585, 5520, 267, 8436, 267, 543, 519, 1857, 269, 20871, 1590, 4225, 10220, 609, 6042, 267, 2932, 2834, 10526, 267, 543, 2936, 30997, 3800, 547, 2061, 19374, 543, 3895, 513, 2528, 540, 3106, 269, 15329, 725, 666, 1291, 547, 3656, 4539, 267, 2883, 20507, 267, 543, 8088, 1049, 3441, 267, 10771, 519, 2956, 540, 14942, 3106, 3800, 563, 3963, 7994, 13317, 29673, 32431, 11162, 518, 4993, 7330, 454, 5425, 32431, 11162, 518, 30193, 3294, 607, 513, 22973, 24343, 538, 9568, 6604, 267, 5356, 26080, 3028, 543, 6791, 912, 4263, 11483, 32431, 11162, 518, 267, 649, 1491, 11348, 538, 938, 2319, 540, 3810, 8036, 4648, 945, 3142, 513, 5763, 540, 6791, 547, 1169, 7738, 3028, 269, 2060, 538, 3829, 1702, 543, 3946, 6823, 1995, 267, 649, 2327, 602, 707, 10661, 11392, 22111, 3007, 267, 5807, 513, 2973, 543, 2922, 1604, 602, 7339, 919, 1761, 12469, 563, 2171, 4225, 707, 3106, 676, 14553, 20170, 547, 1072, 543, 3106, 6042, 269, 3776, 7029, 547, 10220, 568, 513, 22294, 540, 938, 3028, 267, 3246, 596, 609, 519, 22059, 602, 707, 9744, 10742, 2872, 4441, 269, 1635, 7303, 1761, 12469, 998, 11826, 15984, 547, 6042, 267, 649, 16102, 707, 1870, 543, 519, 1134, 5630, 540, 1346, 1369, 621, 563, 28403, 1944, 602, 1114, 5054, 723, 2189, 2115, 267, 649, 20688, 938, 2533, 547, 9290, 519, 1808, 4170, 540, 1142, 7817, 269, 6787, 596, 7500, 513, 14297, 13962, 610, 513, 22471, 559, 9972, 2713, 9744, 267, 938, 16419, 1935, 5849, 602, 1169, 7944, 568, 9619, 269, 901, 13916, 711, 1152, 10597, 519, 7145, 540, 938, 7738, 855, 849, 20383, 609, 707, 1367, 14422, 543, 2591, 563, 1103, 7446, 11483, 32431, 11162, 518, 267, 596, 616, 8939, 513, 7649, 6131, 547, 12419, 11108, 3028, 269, 3776, 6791, 267, 7029, 547, 10220, 267, 543, 16419, 3435, 15217, 3565, 547, 9568, 6604, 267, 5356, 596, 4708, 540, 2247, 538, 6616, 602, 707, 10661, 568, 538, 5827, 3946, 563, 1103, 3932, 267, 9319, 9568, 538, 513, 5010, 10051, 3322, 14942, 543, 9488, 7738, 269, 11483, 32431, 11162, 518, 781, 2039, 540, 2533, 2488, 513, 3102, 3070, 267, 17420, 1996, 3595, 10898, 267, 1072, 19374, 267, 543, 10512, 21463, 269, 7767, 538, 519, 27194, 543, 3106, 540, 707, 10051, 609, 11483, 32431, 11162, 518, 781, 11967, 2533, 269, 29175, 622, 707, 5010, 10051, 781, 9882, 609, 13317, 29673, 32431, 11162, 518, 781, 28315, 610, 13600, 569, 12213, 27686, 7896, 269, 3776, 4274, 2319, 24870, 538, 3102, 2533, 267, 1519, 9688, 26372, 7738, 267, 13962, 9688, 26372, 7738, 267, 543, 5010, 10051, 26372, 7738, 563, 2171, 8831, 938, 22111, 1416, 547, 3309, 5054, 971, 607, 9972, 2713, 6703, 267, 3506, 267, 543, 1256, 17075, 1576, 6539, 29353, 269, 3245, 10051, 9688, 13811, 7738, 547, 26372, 6882, 7738, 1299, 10682, 267, 938, 3358, 3435, 2327, 513, 29814, 543, 5360, 5050, 2230, 269, 21480, 513, 1289, 609, 721, 693, 630, 280, 1626, 264, 476, 278, 866, 268, 5952, 278, 276, 547, 1865, 707, 1808, 2115, 267, 543, 1995, 519, 17284, 540, 938, 10051, 5887, 7738, 543, 2604, 11547, 7738, 3028, 269, 7767, 538, 27194, 609, 13317, 29673, 32431, 11162, 518, 585, 513, 10930, 267, 8902, 10051, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 303, 15056, 1916, 268, 11038, 25010, 281, 1514, 12879, 666, 849, 723, 2883, 29854, 267, 2523, 952, 2576, 8813, 6408, 547, 513, 1085, 600, 269, 769, 930, 2665, 267, 1004, 723, 4503, 741, 1272, 9806, 610, 1044, 2451, 609, 11493, 7963, 563, 4407, 1514, 12879, 666, 723, 3978, 4539, 267, 621, 779, 1271, 547, 3314, 602, 711, 3025, 945, 3096, 621, 568, 3257, 865, 17351, 569, 269, 6884, 267, 1004, 2490, 547, 1514, 12879, 1317, 789, 22992, 3494, 621, 779, 519, 1655, 1259, 547, 3035, 741, 3853, 269, 1717, 267, 7488, 540, 519, 8247, 3297, 621, 267, 1514, 12879, 568, 513, 19408, 4640, 602, 1058, 581, 1031, 609, 13657, 563, 1724, 9669, 1280, 3680, 532, 4317, 28294, 1637, 454, 12892, 12879, 666, 581, 2352, 547, 4308, 609, 1317, 621, 779, 1419, 711, 6654, 950, 621, 779, 8345, 269, 6884, 267, 1004, 616, 26203, 1510, 1256, 16734, 621, 269, 1703, 616, 513, 1906, 1919, 596, 666, 798, 547, 2119, 547, 2057, 1514, 12879, 267, 610, 693, 2547, 7413, 922, 1764, 912, 268, 25506, 950, 621, 779, 8345, 269, 744, 1111, 550, 1307, 267, 1514, 12879, 666, 581, 2352, 547, 5544, 269, 9796, 3007, 547, 519, 1913, 543, 3527, 540, 519, 1268, 945, 568, 3843, 547, 13861, 596, 267, 543, 1413, 585, 1022, 12804, 10262, 24500, 563, 268, 5901, 707, 4664, 538, 2638, 269, 28294, 22399, 786, 1419, 2119, 547, 1491, 5413, 540, 707, 4664, 538, 1931, 547, 1205, 1018, 789, 1616, 269, 1403, 596, 666, 1832, 707, 4664, 538, 2638, 267, 621, 786, 581, 811, 2352, 585, 873, 547, 13861, 596, 563, 268, 5590, 6302, 269, 2913, 519, 6354, 15975, 917, 1018, 596, 786, 543, 786, 711, 20496, 269, 901, 786, 948, 547, 25339, 873, 689, 3843, 547, 13861, 596, 563, 268, 25529, 547, 707, 15963, 269, 4495, 596, 4076, 1767, 1100, 267, 1810, 1406, 1577, 519, 6354, 15975, 18609, 596, 547, 1689, 707, 2247, 269, 898, 666, 581, 2352, 267, 855, 621, 779, 1271, 547, 1796, 707, 2666, 563, 268, 5700, 707, 4502, 269, 28294, 22399, 786, 1419, 2119, 547, 1118, 596, 1745, 899, 596, 2461, 711, 1434, 2614, 269, 5457, 602, 596, 616, 17709, 540, 2463, 543, 2648, 267, 1100, 2339, 1018, 519, 6354, 15975, 3081, 563, 268, 20028, 3054, 689, 519, 6354, 15975, 269, 1403, 2009, 267, 2119, 547, 3845, 3054, 689, 519, 1268, 945, 568, 22392, 596, 269, 901, 949, 711, 2141, 581, 2009, 267, 855, 621, 666, 581, 5363, 952, 596, 2461, 2111, 547, 798, 621, 563, 268, 28423, 909, 585, 3054, 269, 5213, 1406, 1577, 519, 6354, 15975, 3802, 782, 936, 596, 269, 1403, 789, 2161, 610, 798, 1945, 602, 3884, 1406, 21453, 267, 3717, 909, 585, 3054, 543, 1577, 873, 917, 602, 741, 2623, 568, 711, 11807, 563, 268, 5192, 1489, 689, 1866, 269, 4317, 12879, 666, 581, 513, 2352, 3364, 547, 4308, 609, 593, 707, 1378, 269, 13185, 547, 513, 11967, 3659, 610, 1920, 4759, 827, 1018, 779, 2469, 593, 267, 543, 1205, 741, 1489, 543, 5796, 563, 268, 5213, 1406, 2285, 6354, 11494, 1004, 1932, 1454, 1379, 936, 596, 269, 1403, 2576, 568, 7683, 3843, 547, 1852, 610, 1491, 5413, 540, 596, 267, 621, 779, 1271, 547, 1305, 6302, 269, 5457, 602, 596, 723, 513, 1318, 547, 2161, 968, 7224, 892, 543, 547, 1796, 909, 585, 3054, 563, 268, 5213, 1406, 581, 2220, 26359, 676, 8900, 14767, 610, 1166, 19495, 269, 28294, 11494, 1004, 1419, 946, 7301, 14767, 610, 1202, 1550, 516, 5360, 9323, 607, 513, 1259, 547, 1205, 1018, 789, 1616, 269, 1403, 2576, 568, 1818, 6264, 14767, 602, 3100, 1932, 1434, 547, 581, 3020, 267, 581, 26617, 543, 2307, 3054, 1946, 789, 2461, 2731, 6031, 621, 563, 268, 2142, 1167, 518, 940, 827, 945, 596, 3972, 269, 3502, 3025, 568, 856, 547, 13861, 596, 267, 855, 621, 779, 1271, 547, 581, 6297, 827, 945, 596, 1577, 883, 707, 1272, 269, 1403, 2576, 4667, 31877, 610, 2150, 6412, 18976, 267, 621, 779, 4440, 1655, 547, 1832, 707, 3845, 563, 268, 5700, 707, 2924, 543, 875, 547, 7682, 873, 269, 1403, 596, 1745, 899, 596, 2461, 1373, 26203, 610, 3144, 5413, 540, 267, 1810, 1406, 581, 12922, 547, 3717, 909, 585, 3054, 269, 18833, 707, 2924, 543, 875, 547, 7682, 873, 666, 948, 596, 1796, 909, 547, 6354, 11494, 2623, 543, 2149, 3054, 689, 14226, 563, 268, 16418, 3318, 948, 269, 1403, 1514, 12879, 568, 4358, 547, 1860, 707, 2790, 1072, 267, 621, 949, 581, 942, 547, 3343, 3318, 948, 689, 513, 13309, 610, 24468, 269, 1358, 666, 1683, 596, 609, 2645, 543, 2994, 585, 7231, 609, 1514, 12879, 538, 513, 2635, 1259, 3034, 12892, 12879, 568, 513, 3532, 1907, 602, 666, 581, 1031, 547, 3310, 519, 4555, 267, 4606, 267, 543, 5615, 540, 1866, 269, 2755, 621, 666, 581, 1031, 585, 1434, 267, 971, 607, 4543, 2576, 7753, 513, 4250, 610, 4657, 513, 3983, 4356, 267, 621, 666, 849, 581, 1031, 585, 9409, 7475, 563, 17829, 945, 616, 9952, 538, 1514, 12879, 666, 946, 621, 547, 1852, 543, 13861, 1866, 585, 741, 1378, 4324, 269, 5221, 540, 713, 267, 621, 568, 1271, 547, 581, 3222, 540, 519, 4191, 540, 1514, 12879, 543, 547, 917, 875, 547, 9718, 3054, 1996, 621, 563, 296, 345, 6373, 267, 918, 1421, 1299, 1520, 20462, 338, 267, 681, 269, 630, 1001, 274, 1040, 4317, 28294, 1637, 540, 2776, 12401, 538, 519, 5274, 11020, 269, 3026, 584, 517, 267, 476, 4281, 263, 274, 1070, 476, 6321, 274, 1700, 6872, 274, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 928, 584, 517, 269, 1001, 274, 269, 6734, 269, 271, 2537, 454, 289, 1380, 267, 667, 269, 631, 1421, 717, 2345, 267, 631, 1421, 11612, 326, 1231, 267, 667, 269, 590, 1421, 1299, 700, 2246, 8538, 778, 267, 918, 269, 630, 2735, 278, 1040, 570, 716, 923, 540, 12879, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 7367, 263, 277, 1070, 476, 13199, 280, 1700, 14338, 280, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 278, 270, 16573, 273, 268, 31134, 736, 269, 14096, 269, 14138, 269, 15686, 454, 295, 516, 16535, 267, 715, 269, 966, 269, 630, 1708, 271, 1040, 13662, 21062, 12471, 13965, 6789, 303, 4488, 4811, 5508, 631, 3198, 7709, 308, 6369, 3582, 23166, 2562, 4888, 29206, 303, 8991, 2177, 3201, 29206, 3722, 3582, 281, 631, 3198, 7709, 308, 6369, 16739, 6730, 631, 3198, 7709, 8085, 2969, 27633, 269, 623, 8991, 2177, 3201, 14510, 5442, 14298, 5746, 4953, 312, 281, 13662, 21062, 12471, 13965, 631, 17248, 3198, 3041, 5960, 5508, 8028, 30888, 14510, 267, 476, 4097, 1700, 7367, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11740, 6795, 270, 7818, 268, 280, 5780, 268, 4375, 278, 268, 20385, 268, 272, 270, 4097, 268, 7367, 0, 299, 582, 23065, 723, 513, 1279, 543, 9867, 1686, 269, 634, 3943, 13169, 7389, 1394, 547, 519, 476, 5611, 271, 338, 267, 855, 7969, 27601, 616, 1454, 4587, 269, 634, 3943, 13169, 729, 1101, 5189, 676, 14731, 594, 543, 10150, 7839, 8560, 2394, 519, 476, 1704, 628, 2540, 267, 950, 8402, 2473, 4353, 4465, 513, 1283, 16101, 538, 513, 5373, 543, 8120, 1010, 3094, 11789, 547, 23799, 25572, 269, 769, 476, 8146, 277, 267, 3943, 27601, 941, 7979, 31090, 267, 855, 513, 1007, 13169, 729, 5189, 267, 519, 20769, 24809, 2817, 324, 267, 538, 476, 4350, 274, 269, 2991, 2622, 2782, 4083, 267, 519, 20769, 24809, 2817, 324, 729, 17468, 563, 299, 582, 23065, 616, 513, 1106, 540, 13989, 454, 6624, 1004, 723, 4862, 827, 13169, 3094, 11789, 267, 855, 798, 789, 2731, 2291, 286, 901, 2442, 1106, 540, 13989, 3322, 5373, 1808, 2338, 689, 6266, 540, 1004, 269, 634, 16101, 2724, 568, 2356, 6666, 610, 5370, 267, 543, 621, 666, 581, 1031, 585, 4376, 689, 2564, 2126, 547, 5026, 2319, 31585, 269, 2755, 621, 568, 513, 1106, 540, 13989, 267, 13169, 3094, 11789, 616, 849, 4922, 7608, 1317, 540, 519, 2724, 789, 5352, 585, 513, 3099, 540, 1434, 3123, 269, 1656, 1247, 513, 13169, 568, 513, 1106, 540, 13989, 267, 621, 568, 711, 10363, 607, 1279, 607, 621, 568, 5342, 538, 606, 5683, 6073, 563, 6624, 6608, 723, 3656, 1242, 13169, 3094, 11789, 267, 855, 930, 723, 17049, 873, 15587, 269, 769, 519, 772, 2529, 1421, 519, 5354, 540, 2829, 723, 1500, 873, 10363, 269, 1809, 538, 824, 2477, 267, 789, 616, 14931, 269, 15380, 267, 6608, 10238, 527, 519, 9042, 540, 13169, 17914, 547, 1295, 832, 267, 543, 21527, 1590, 581, 13931, 547, 6133, 873, 269, 10801, 1034, 540, 519, 14206, 2540, 267, 1034, 3029, 540, 13989, 941, 10363, 267, 1519, 13169, 3094, 11789, 269, 2368, 2477, 17049, 27601, 2394, 519, 1439, 540, 2622, 2782, 4083, 563, 5445, 2709, 1804, 6666, 26065, 454, 2690, 1383, 267, 519, 667, 7974, 476, 273, 2518, 16101, 7535, 568, 1269, 11152, 2929, 9489, 269, 4033, 3756, 267, 971, 607, 13477, 540, 6181, 1742, 267, 723, 16101, 20115, 607, 1164, 607, 1269, 2767, 2929, 9489, 269, 22388, 21178, 686, 651, 281, 6820, 5510, 2400, 543, 10060, 14958, 849, 723, 5458, 16101, 20115, 269, 769, 824, 1913, 267, 3318, 3381, 3014, 682, 8046, 616, 4742, 607, 2462, 607, 3318, 5026, 269, 1280, 1346, 945, 1131, 899, 547, 3094, 2462, 6666, 26065, 267, 670, 28566, 309, 779, 14134, 5600, 31687, 788, 560, 1389, 616, 849, 4502, 3168, 883, 563, 5445, 616, 6896, 865, 602, 513, 6871, 540, 519, 12434, 568, 24603, 547, 1434, 3123, 454, 763, 2229, 666, 3310, 519, 3892, 540, 13169, 23131, 269, 2368, 2477, 1305, 21159, 585, 519, 3892, 540, 13169, 12434, 538, 741, 4031, 269, 11524, 4734, 713, 547, 2229, 3375, 267, 799, 1223, 581, 20833, 12592, 269, 3958, 267, 930, 6608, 946, 13169, 23131, 547, 2508, 7341, 602, 1058, 581, 14102, 676, 824, 2959, 269, 1280, 1383, 267, 538, 24765, 8205, 267, 513, 1876, 31433, 519, 13169, 18689, 10706, 269, 769, 824, 2477, 267, 13169, 23131, 949, 581, 1031, 585, 2229, 7836, 563, 6624, 13169, 18793, 3494, 602, 519, 13169, 1062, 2640, 1312, 519, 6345, 543, 519, 1434, 2014, 269, 24812, 945, 616, 18822, 2614, 547, 3094, 513, 16101, 666, 1964, 21407, 602, 513, 6712, 540, 519, 2724, 789, 6108, 786, 979, 4724, 513, 26656, 2014, 269, 8409, 945, 723, 8373, 18468, 602, 10888, 513, 13169, 568, 4502, 519, 1981, 540, 9561, 513, 2603, 540, 2724, 8044, 602, 519, 3014, 568, 811, 6209, 952, 621, 2337, 513, 1434, 2014, 982, 513, 1507, 7443, 563, 5445, 5000, 3743, 13989, 454, 5278, 2950, 616, 3843, 547, 10238, 527, 13989, 538, 741, 1858, 269, 3509, 4250, 602, 13989, 786, 5000, 22178, 1465, 267, 6469, 5208, 267, 543, 17403, 1851, 31655, 269, 1677, 8396, 713, 267, 789, 616, 28409, 31655, 547, 1491, 909, 11327, 2238, 3079, 540, 13989, 269, 2290, 28643, 693, 606, 22176, 23336, 784, 5026, 25919, 10661, 267, 12448, 29142, 19789, 267, 24016, 7264, 547, 2259, 3743, 13989, 269, 634, 8664, 10324, 568, 4867, 17265, 519, 11556, 543, 1058, 1118, 513, 3375, 4166, 269, 1358, 4126, 547, 7333, 13989, 538, 519, 22176, 23336, 784, 1858, 676, 519, 1439, 540, 519, 1032, 563, 25215, 976, 1043, 13989, 3292, 1445, 593, 7303, 1966, 5615, 971, 607, 7050, 25919, 543, 13989, 609, 2724, 835, 666, 1406, 6488, 547, 6336, 269, 3509, 3743, 11080, 7270, 723, 2085, 7182, 269, 634, 5934, 2085, 568, 476, 1240, 585, 930, 22875, 267, 1247, 1866, 2154, 513, 476, 2641, 4458, 6040, 5934, 269, 589, 18019, 3135, 786, 2022, 2085, 9993, 865, 602, 621, 3085, 1406, 26453, 582, 720, 519, 2729, 540, 1004, 945, 616, 711, 3743, 2614, 547, 914, 593, 3756, 269, 1358, 849, 2709, 2081, 585, 29123, 547, 1305, 25919, 7182, 269, 0, 1103, 519, 3059, 2085, 267, 1141, 3388, 4667, 547, 581, 3001, 2509, 519, 6531, 267, 5691, 1436, 814, 7153, 607, 513, 2629, 2029, 602, 6087, 4213, 547, 11126, 741, 8668, 5989, 543, 1118, 519, 1034, 856, 540, 741, 7384, 2200, 269, 1809, 1018, 4010, 568, 5691, 1436, 286, 1656, 875, 1281, 621, 960, 888, 29919, 1436, 666, 581, 3989, 607, 519, 1184, 540, 2870, 5691, 8747, 540, 1585, 2780, 2200, 267, 971, 607, 13763, 267, 4859, 3457, 267, 5665, 1949, 267, 610, 5121, 269, 898, 2636, 2789, 5665, 1949, 543, 3156, 547, 2196, 593, 513, 2582, 2168, 3684, 8195, 267, 7551, 21924, 519, 13345, 540, 8800, 2200, 269, 2311, 519, 4295, 540, 5691, 1436, 568, 513, 3301, 4494, 1572, 519, 5409, 6665, 528, 610, 5691, 3684, 6895, 630, 309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 3815, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 692, 26476, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 692, 2162, 476, 273, 4555, 593, 968, 26476, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 10640, 296, 4126, 621, 568, 5363, 547, 596, 543, 1866, 269, 7490, 1665, 803, 607, 2634, 2993, 770, 780, 3721, 8386, 9912, 7778, 1384, 284, 27976, 345, 630, 1990, 317, 273, 1341, 476, 277, 345, 1107, 476, 1626, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 630, 1990, 317, 273, 1341, 476, 279, 345, 1107, 476, 273, 345, 1107, 476, 1626, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 1496, 1990, 630, 1990, 1341, 476, 279, 3738, 1107, 476, 273, 630, 1990, 1341, 476, 279, 3738, 476, 6540, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 630, 1990, 1107, 476, 273, 3738, 630, 1990, 1341, 476, 279, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 630, 1990, 1341, 476, 279, 25589, 273, 344, 692, 284, 1535, 6398, 586, 6398, 1990, 630, 1990, 1341, 476, 279, 25589, 273, 6398, 586, 692, 284, 27976, 630, 1990, 1341, 476, 279, 25589, 273, 0, 258, 4569, 948, 609, 3268, 692, 13043, 948, 609, 3268, 666, 581, 1336, 2228, 610, 538, 6310, 9499, 269, 1284, 786, 849, 1413, 693, 930, 1383, 2042, 543, 875, 547, 1935, 873, 780, 1012, 634, 7454, 4569, 948, 609, 3268, 692, 1607, 4569, 948, 609, 3268, 2488, 1900, 8386, 9912, 5528, 585, 6061, 782, 2979, 2042, 269, 9978, 6128, 568, 519, 1353, 540, 6310, 4238, 543, 741, 3601, 269, 634, 1445, 540, 713, 7936, 540, 6128, 568, 593, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 269, 1452, 4238, 616, 519, 5748, 585, 782, 824, 2010, 540, 2979, 267, 1519, 7223, 267, 9511, 267, 543, 29890, 269, 769, 1840, 547, 4974, 875, 891, 4238, 960, 267, 1053, 849, 1451, 875, 547, 4194, 4834, 543, 875, 547, 946, 2596, 2035, 540, 9511, 543, 29890, 269, 9978, 6128, 568, 606, 1898, 851, 540, 1169, 2875, 781, 2069, 267, 543, 621, 2488, 513, 2178, 5748, 585, 2417, 1353, 538, 2979, 780, 291, 558, 664, 543, 2039, 616, 1079, 1271, 2035, 538, 6128, 269, 23792, 4016, 547, 519, 1305, 540, 782, 2009, 3403, 2418, 585, 513, 1599, 267, 1247, 2039, 4016, 547, 519, 1305, 540, 782, 2009, 3977, 2418, 269, 5637, 2035, 666, 581, 2352, 547, 9787, 267, 855, 972, 616, 513, 1906, 2241, 3268, 602, 666, 948, 269, 3689, 267, 621, 568, 1271, 547, 1174, 1018, 11378, 543, 17016, 616, 269, 18452, 338, 616, 519, 2418, 602, 616, 10480, 883, 513, 1599, 267, 1247, 17016, 616, 519, 2418, 602, 519, 1599, 7472, 269, 4495, 713, 568, 6956, 267, 621, 568, 9425, 2653, 547, 2697, 519, 6389, 543, 2039, 540, 513, 2016, 1599, 269, 1677, 798, 713, 267, 3274, 1592, 782, 540, 519, 2009, 3403, 2418, 543, 1287, 2697, 519, 7222, 3977, 2418, 269, 769, 930, 2665, 267, 621, 949, 849, 581, 5363, 547, 3113, 519, 1599, 547, 14650, 519, 2078, 1063, 11378, 543, 17016, 269, 1635, 1620, 891, 2596, 2035, 267, 621, 568, 2009, 547, 4194, 6389, 543, 2039, 2042, 609, 8897, 780, 288, 32568, 3830, 24626, 568, 513, 6310, 1907, 602, 2636, 596, 547, 4194, 4834, 5473, 17969, 916, 269, 901, 1826, 540, 3830, 1419, 14340, 538, 4610, 971, 607, 6323, 543, 4702, 267, 1141, 12825, 3252, 616, 4122, 1031, 269, 634, 32568, 3830, 24626, 666, 581, 1031, 547, 1265, 519, 1871, 540, 1535, 585, 1022, 2016, 1871, 540, 586, 269, 1280, 1383, 267, 952, 596, 917, 602, 586, 815, 8421, 3287, 1070, 596, 666, 946, 519, 32568, 3830, 24626, 547, 1265, 519, 1871, 540, 1535, 602, 14687, 547, 586, 269, 901, 666, 581, 3730, 538, 3871, 1141, 596, 991, 547, 4194, 606, 3830, 855, 798, 711, 723, 1569, 547, 513, 9498, 610, 824, 2645, 602, 1131, 1450, 596, 547, 1685, 519, 2556, 9273, 269, 634, 32568, 3830, 24626, 666, 849, 581, 1031, 547, 2638, 707, 960, 950, 6061, 4834, 676, 1688, 269, 769, 2489, 267, 519, 32568, 3830, 24626, 568, 513, 3407, 1907, 585, 4896, 945, 2115, 547, 960, 609, 17969, 916, 593, 513, 2834, 4493, 780, 15542, 528, 26732, 616, 513, 1390, 1907, 585, 4896, 945, 6499, 547, 3533, 4137, 856, 519, 2188, 540, 513, 1297, 269, 4014, 972, 616, 1585, 2081, 547, 5173, 2188, 267, 513, 3815, 9498, 666, 581, 2523, 5363, 952, 596, 2811, 2324, 609, 1804, 2338, 610, 952, 596, 991, 547, 1265, 782, 540, 519, 2188, 540, 513, 1297, 269, 13575, 267, 596, 3274, 4283, 519, 1297, 602, 596, 1616, 547, 3815, 883, 519, 9498, 543, 1287, 5734, 519, 834, 20412, 622, 257, 7735, 269, 634, 9498, 786, 1287, 4159, 782, 540, 519, 2188, 540, 602, 1297, 269, 769, 1840, 267, 930, 3815, 26732, 786, 849, 1397, 596, 1022, 6305, 2188, 602, 949, 581, 1459, 269, 16748, 26732, 666, 581, 1336, 2228, 610, 538, 930, 2979, 9499, 780, 763, 1034, 1455, 1826, 540, 1599, 568, 519, 5276, 1599, 269, 589, 5276, 1599, 568, 513, 1599, 538, 799, 519, 3403, 543, 3977, 616, 1644, 676, 513, 2786, 1899, 269, 5441, 7223, 568, 519, 1353, 540, 5276, 3252, 543, 741, 3601, 269, 898, 27180, 875, 891, 3252, 666, 581, 1031, 547, 2203, 1483, 8996, 3871, 269, 769, 1840, 267, 2852, 7223, 849, 6227, 3584, 971, 607, 24275, 267, 6061, 4834, 267, 543, 22392, 15821, 7215, 269, 1306, 513, 1267, 267, 2852, 7223, 568, 606, 1271, 1576, 585, 1022, 2875, 945, 4566, 593, 13197, 513, 4876, 538, 6128, 610, 1776, 2361, 602, 3096, 6128, 780, 1012, 1284, 4194, 782, 2010, 540, 2979, 2042, 692, 527, 2731, 2337, 950, 596, 1810, 1405, 1174, 1018, 596, 2811, 3257, 269, 594, 8385, 3893, 621, 547, 798, 1250, 6780, 3533, 267, 855, 607, 519, 2979, 693, 1153, 3893, 9875, 267, 519, 813, 2968, 811, 540, 513, 1234, 12329, 543, 1447, 540, 513, 2656, 4368, 454, 12914, 822, 807, 24806, 454, 296, 2731, 899, 875, 519, 813, 2636, 596, 547, 10544, 2042, 609, 519, 8254, 267, 12575, 873, 267, 610, 1175, 1826, 873, 538, 1279, 1688, 269, 898, 849, 2982, 519, 1184, 585, 3435, 267, 4543, 803, 3314, 875, 547, 948, 1250, 8250, 269, 4279, 6310, 813, 2336, 298, 320, 13704, 23045, 2006, 454, 15612, 1807, 813, 4647, 9978, 7223, 2042, 543, 4267, 4569, 2243, 948, 1863, 5681, 332, 566, 540, 4994, 539, 1239, 24626, 9119, 813, 0, 258, 952, 14870, 1922, 2350, 268, 272, 14870, 268, 275, 2389, 1156, 14870, 268, 275, 1922, 2350, 268, 272, 14870, 268, 275, 268, 5002, 268, 3422, 692, 12749, 13292, 454, 304, 272, 563, 304, 273, 563, 314, 7562, 273, 263, 280, 11027, 279, 21147, 275, 264, 7562, 273, 263, 278, 11027, 279, 21147, 275, 13580, 11459, 454, 304, 274, 563, 2252, 1269, 343, 10954, 2765, 346, 272, 2410, 343, 4151, 815, 476, 275, 267, 1287, 20270, 343, 8703, 275, 23180, 2765, 346, 272, 2410, 346, 343, 8703, 275, 3686, 284, 6911, 5416, 264, 476, 3422, 692, 6357, 264, 476, 3707, 692, 6262, 264, 476, 4572, 692, 5560, 264, 476, 5002, 454, 304, 275, 563, 2252, 1535, 266, 272, 343, 284, 277, 267, 1287, 519, 1871, 540, 630, 343, 275, 866, 271, 266, 272, 343, 275, 264, 568, 454, 304, 276, 563, 2252, 594, 284, 21854, 343, 275, 11459, 267, 1287, 594, 11224, 0, 258, 476, 1015, 3584, 2433, 875, 1082, 2395, 2394, 694, 4697, 476, 3066, 26042, 31948, 713, 2022, 454, 11073, 1467, 1384, 296, 269, 4985, 454, 1700, 19247, 540, 519, 2956, 540, 6616, 875, 1082, 2395, 2394, 5181, 476, 3066, 454, 1700, 16684, 7650, 540, 519, 2376, 779, 1543, 692, 2862, 269, 1215, 547, 12433, 519, 7089, 540, 17963, 19402, 5181, 476, 3066, 454, 1700, 19247, 540, 519, 4542, 585, 12719, 519, 1297, 540, 2395, 1063, 1079, 7389, 454, 1700, 5153, 8386, 9912, 3391, 593, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 692, 7656, 269, 4208, 5181, 476, 3066, 568, 31056, 454, 1700, 8466, 2621, 602, 7018, 593, 5181, 476, 3066, 454, 1700, 8836, 543, 3909, 4644, 540, 5181, 476, 3066, 692, 4353, 269, 12020, 585, 5181, 476, 3066, 454, 1700, 21909, 687, 585, 875, 547, 8661, 610, 29428, 5181, 476, 3066, 454, 1700, 9669, 585, 4058, 2621, 610, 2238, 3056, 909, 547, 5181, 476, 3066, 692, 309, 269, 10390, 454, 1700, 1234, 5115, 540, 519, 2956, 540, 6616, 875, 1082, 2395, 2394, 5181, 476, 3066, 454, 1700, 15937, 4555, 543, 7840, 692, 17359, 12474, 1384, 296, 269, 4985, 692, 31535, 875, 1082, 2395, 2394, 5181, 476, 3066, 568, 1271, 585, 513, 3099, 540, 4128, 269, 6787, 596, 2461, 4058, 513, 2027, 2680, 267, 10203, 1524, 547, 513, 1713, 4266, 267, 610, 3274, 8049, 827, 519, 8574, 540, 942, 267, 1620, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 666, 581, 513, 3730, 5578, 269, 769, 713, 2376, 267, 649, 3580, 2263, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 267, 1946, 5181, 476, 3066, 568, 1713, 267, 543, 875, 547, 1544, 585, 713, 1271, 4266, 780, 2862, 269, 1215, 547, 12433, 519, 7089, 540, 17963, 19402, 5181, 476, 3066, 692, 15612, 908, 519, 1297, 540, 2395, 1063, 1079, 7389, 568, 513, 2241, 1184, 602, 3322, 18946, 519, 4505, 4266, 689, 519, 2663, 4266, 269, 1677, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 267, 649, 3580, 991, 547, 917, 519, 1699, 4266, 543, 519, 4266, 649, 2461, 10203, 1524, 547, 780, 2690, 1383, 267, 952, 2221, 568, 4864, 476, 272, 267, 476, 1708, 272, 267, 543, 649, 1616, 547, 917, 875, 1082, 2395, 2394, 5181, 476, 3066, 267, 476, 1708, 272, 267, 649, 1131, 1246, 891, 3268, 1384, 272, 269, 14419, 519, 1297, 540, 2395, 538, 4864, 281, 476, 4029, 454, 273, 269, 14419, 519, 1297, 540, 2395, 538, 5181, 909, 547, 5181, 476, 3066, 281, 476, 2764, 454, 274, 269, 5410, 519, 1297, 540, 2395, 538, 4864, 543, 5181, 909, 547, 5181, 476, 3066, 281, 476, 4029, 1341, 476, 2764, 815, 476, 6795, 454, 275, 269, 16265, 847, 519, 1699, 4266, 630, 20606, 476, 272, 264, 689, 519, 2698, 1297, 540, 2395, 281, 476, 6795, 1107, 476, 272, 815, 476, 6812, 692, 11997, 267, 972, 616, 476, 6812, 2395, 2394, 5181, 476, 3066, 267, 476, 1708, 272, 780, 7656, 269, 4208, 5181, 476, 3066, 568, 31056, 692, 20826, 476, 3066, 568, 513, 1713, 4266, 585, 513, 3099, 540, 4128, 269, 25214, 267, 1082, 1271, 2621, 723, 7018, 593, 713, 4266, 267, 1519, 519, 19142, 540, 519, 15521, 540, 12411, 320, 14792, 538, 476, 4489, 279, 267, 799, 8694, 2622, 2782, 594, 267, 543, 519, 10131, 540, 519, 1101, 1977, 9682, 267, 25817, 476, 272, 267, 538, 476, 4198, 279, 780, 1103, 1840, 547, 922, 3140, 4644, 267, 5181, 476, 3066, 568, 849, 606, 1271, 4266, 538, 1082, 4529, 543, 10764, 269, 1280, 1383, 267, 538, 519, 4168, 5132, 267, 5181, 476, 3066, 568, 519, 21649, 1554, 540, 12142, 7812, 543, 2353, 4911, 1564, 267, 1247, 538, 519, 6014, 5132, 267, 621, 568, 519, 9702, 540, 962, 558, 918, 2089, 584, 267, 519, 4303, 540, 2311, 821, 618, 780, 4353, 269, 12020, 585, 5181, 476, 3066, 692, 2252, 596, 2461, 3168, 547, 8661, 610, 29428, 5181, 476, 3066, 267, 972, 616, 1082, 2081, 547, 798, 865, 269, 13689, 593, 707, 4690, 543, 7375, 267, 596, 1522, 2015, 1384, 1700, 21118, 532, 513, 5428, 610, 11018, 609, 2828, 543, 1920, 454, 1700, 12020, 513, 2027, 856, 532, 610, 2534, 267, 971, 607, 513, 30382, 610, 9754, 3643, 454, 1700, 21816, 324, 1359, 610, 1810, 908, 547, 513, 17493, 610, 2014, 602, 568, 6209, 547, 596, 454, 1700, 9866, 6326, 513, 3909, 610, 2686, 2245, 2404, 609, 5181, 476, 3066, 692, 1103, 1840, 547, 4058, 585, 519, 1554, 3294, 267, 596, 1522, 849, 2015, 2081, 547, 1628, 10761, 543, 24736, 3056, 909, 547, 5181, 476, 3066, 269, 1280, 1383, 267, 596, 1223, 1711, 513, 1293, 6658, 11706, 610, 1544, 513, 3126, 540, 4130, 2621, 610 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3310, 890, 22701, 998, 741, 10051, 9486, 1070, 3819, 17529, 12081, 18678, 563, 3719, 620, 553, 256, 1284, 1590, 333, 1406, 1450, 6000, 547, 581, 26531, 676, 891, 17529, 1022, 2417, 282, 938, 1445, 6013, 9003, 593, 741, 28430, 2078, 609, 3819, 11680, 2336, 291, 5519, 560, 4328, 16959, 595, 5725, 454, 3086, 602, 649, 723, 31235, 6000, 609, 17529, 607, 17710, 540, 519, 5277, 7706, 267, 621, 779, 942, 547, 2490, 938, 3007, 547, 3819, 11680, 269, 1924, 267, 1018, 4010, 568, 513, 3819, 7484, 267, 543, 875, 1281, 621, 8428, 689, 922, 5277, 11218, 286, 4270, 267, 519, 11984, 1063, 891, 1079, 2010, 540, 11680, 6013, 538, 741, 3483, 563, 13914, 827, 950, 596, 991, 547, 2268, 1945, 602, 3085, 1406, 2095, 899, 513, 5757, 610, 21383, 899, 1216, 1107, 5820, 971, 607, 7912, 610, 4006, 269, 1280, 713, 1360, 2601, 267, 649, 723, 3819, 7893, 11680, 267, 799, 1450, 721, 547, 1085, 17274, 543, 1377, 1055, 891, 9583, 3765, 2151, 31773, 3819, 5820, 563, 19950, 5944, 2614, 267, 1312, 5277, 543, 3819, 11680, 3180, 519, 1482, 4320, 855, 4196, 1114, 3252, 269, 1656, 1631, 602, 649, 917, 1141, 938, 1445, 6013, 1577, 779, 12260, 519, 7503, 9814, 2336, 4462, 24286, 519, 23586, 454, 1607, 568, 1141, 1919, 1376, 3478, 5963, 10578, 256, 15579, 5196, 707, 3284, 1258, 12673, 1317, 835, 20645, 3568, 476, 1240, 269, 476, 277, 1240, 28307, 5392, 278, 3819, 11680, 256, 8786, 267, 596, 1224, 602, 1318, 1107, 606, 4608, 15967, 1297, 12617, 1369, 782, 1346, 10424, 17529, 2336, 2414, 2322, 621, 883, 5133, 267, 4952, 17596, 476, 1015, 17529, 540, 7912, 585, 513, 7372, 11256, 3063, 341, 12298, 5633, 269, 22034, 930, 2790, 9819, 23258, 610, 3274, 17874, 713, 2376, 630, 7224, 17847, 538, 621, 256, 1070, 596, 1131, 3605, 602, 596, 2154, 5111, 476, 5908, 269, 476, 8146, 4649, 275, 9032, 3819, 11680, 540, 7912, 1107, 3833, 513, 29990, 24050, 8197, 2336, 3719, 1946, 3247, 972, 286, 2913, 779, 2263, 875, 713, 7503, 6585, 909, 585, 824, 2442, 5820, 912, 268, 21081, 4327, 17491, 281, 27051, 476, 3607, 269, 476, 278, 6246, 275, 1704, 279, 3819, 11680, 538, 835, 20645, 454, 268, 17865, 281, 589, 6071, 32521, 896, 476, 6812, 269, 476, 276, 5780, 5392, 275, 275, 3819, 11680, 829, 20645, 454, 3674, 333, 1406, 621, 2247, 1532, 17344, 1782, 2921, 891, 4948, 5820, 689, 23188, 7403, 547, 575, 1173, 656, 10224, 17114, 888, 7883, 532, 15332, 1107, 14168, 28881, 4569, 31981, 454, 3086, 602, 649, 4076, 29618, 1930, 713, 6456, 14951, 7708, 557, 540, 24740, 1577, 721, 2417, 16491, 6000, 609, 930, 1898, 10051, 2979, 11580, 256, 4197, 2596, 12753, 2636, 721, 547, 4336, 10346, 2687, 547, 938, 13821, 267, 1818, 5986, 606, 1148, 1106, 9141, 676, 2123, 7375, 563, 268, 2480, 2718, 5455, 610, 13560, 454, 268, 10261, 1447, 982, 513, 20645, 286, 19147, 519, 1297, 540, 3819, 11680, 676, 476, 1240, 269, 476, 277, 547, 16756, 707, 11477, 17050, 563, 5327, 3931, 606, 1256, 8273, 16801, 286, 15439, 9062, 2476, 2336, 763, 5295, 540, 1160, 1636, 687, 454, 2108, 290, 8504, 568, 899, 2648, 282, 621, 1058, 581, 9411, 883, 609, 10205, 610, 711, 693, 782, 269, 9232, 1107, 4498, 28625, 11709, 9710, 928, 454, 8855, 713, 8797, 10839, 607, 596, 2263, 519, 7706, 540, 17114, 538, 5986, 256, 3767, 602, 596, 917, 875, 1082, 3819, 11680, 616, 538, 513, 20645, 267, 596, 666, 4019, 713, 1702, 547, 1585, 7403, 563, 5804, 623, 2432, 547, 595, 5725, 454, 289, 1136, 1419, 3340, 14291, 7403, 689, 6550, 630, 335, 1087, 560, 269, 1547, 1547, 30971, 10217, 13365, 264, 547, 11680, 630, 31435, 7893, 838, 9398, 1040, 3962, 12146, 814, 922, 1378, 2189, 5860, 267, 865, 5077, 2228, 7503, 12125, 585, 6111, 2059, 609, 707, 16012, 7503, 23258, 563, 299, 1172, 1749, 543, 29079, 744, 684, 806, 454, 308, 2955, 2406, 267, 15559, 723, 741, 1378, 1305, 540, 3652, 950, 621, 2501, 547, 4320, 7403, 269, 589, 5277, 20645, 5161, 540, 5111, 476, 1626, 5277, 11680, 1107, 3833, 1114, 689, 938, 3819, 7484, 6602, 2336, 2304, 16869, 538, 5272, 28881, 454, 16352, 19586, 539, 519, 5667, 9407, 9814, 3297, 12423, 875, 1082, 3819, 11680, 6445, 513, 20645, 267, 596, 1631, 4865, 513, 5728, 1883, 799, 796, 331, 4169, 9118, 10346, 543, 11477, 9035, 256, 14190, 3054, 547, 11240, 538, 10051, 24740, 1510, 1373, 4371, 1394, 676, 10539, 610, 11688, 2787, 563, 3383, 979, 8521, 267, 11439, 609, 707, 3972, 344, 7893, 11680, 543, 713, 16012, 7326, 256, 22737, 17634, 543, 18390, 2490, 1022, 11600, 883, 707, 1360, 1378, 20100, 269, 1133, 548, 1662, 519, 6418, 27697, 1369, 607, 596, 20630, 1169, 7594, 3341, 543, 4734, 707, 6068, 3283, 14952, 532, 693, 519, 11477, 1642, 2074, 1178, 1424, 741, 10824, 2336, 5319, 2809, 713, 3460, 998, 6482, 9059, 267, 1141, 30196, 835, 679, 7950, 5012, 721, 6251, 547, 26500, 1866, 6456, 9944, 7912, 268, 706, 23264, 24203, 976, 543, 11308, 838, 9398, 585, 3022, 676, 942, 3294, 256, 2913, 721, 8661, 1927, 607, 649, 7832, 593, 519, 2619, 547, 4742, 3020, 10051, 7503, 4966, 2336, 10527, 1152, 1483, 588, 22824, 3625, 568, 4250, 540, 5821, 269, 769, 5986, 267, 596, 4076, 3893, 547, 723, 513, 2048, 6343, 7308, 13463, 961, 685, 10182, 269, 9232, 1107, 27813, 4132, 454, 304, 281, 1215, 666, 594, 6460, 17529, 547, 3819, 11680, 888, 288, 281, 1677, 6460, 17529, 547, 3819, 11680, 267, 596, 991, 547, 917, 602, 972, 616, 476, 1240, 269, 476, 277, 1240, 275, 3819, 11680, 538, 513, 20645, 563, 304, 281, 1548, 568, 519, 7503, 3815, 689, 17529, 547, 3819, 11680, 888, 288, 281, 634, 7503, 3815, 689, 17529, 547, 3819, 11680, 568, 5111, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 2052, 596, 948, 803, 1265, 856, 875, 1082, 3819, 11680, 616, 972, 538, 513, 20645, 888, 288, 281, 17610, 256, 1703, 616, 1472, 476, 1240, 269, 476, 277, 1240, 275, 3819, 11680, 538, 835, 20645, 563, 304, 281, 1772, 972, 513, 1808, 4542, 585, 14291, 17529, 547, 3819, 11680, 888, 288, 281, 8786, 267, 519, 4542, 585, 14291, 17529, 547, 3819, 11680, 568, 14921, 519, 1297, 540, 17529, 676, 5111, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 594, 6557, 3843, 547, 1174, 875, 1082, 3819, 11680, 972, 616, 538, 513, 20645, 269, 2052, 596, 1683, 930, 5813, 888, 288, 281, 15742, 569, 256, 769, 1931, 547, 3313, 519, 7274, 540, 3819, 11680, 538, 513, 20645, 267, 596, 1131, 9062, 519, 1297, 540, 17529, 676, 10199, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 3657, 972, 1114, 7503, 3928, 585, 1114, 2010, 540, 7484, 7403, 950, 14291, 689, 17529, 888, 288, 281, 3143, 267, 950, 14291, 689, 17529, 267, 519, 3044, 7503, 2557, 3788, 3586, 693, 1472, 476, 1240, 269, 476, 277, 1240, 275, 7488, 540, 519, 1826, 610, 2450, 540, 7484, 6482, 1031, 563, 304, 630, 31742, 5346, 2567, 1772, 621, 2009, 585, 519, 7503, 2557, 1063, 17529, 543, 3819, 11680, 547, 4268, 5594, 4470, 593, 824, 2188, 888, 288, 630, 31742, 5346, 2567, 3143, 267, 3622, 6340, 267, 519, 16977, 1871, 540, 476, 1240, 269, 476, 277, 1240, 275, 6585, 3020, 2066, 1034, 7653, 950, 14291, 1063, 12531, 6027, 538, 17529, 543, 7222, 12531, 6027, 538, 3819, 11680, 454, 763, 3642, 814, 1044, 25009, 711, 4734, 1022, 29066, 799, 1797, 621, 3112, 1569, 1022, 3406, 2599, 610, 5007, 1239, 2707, 3564, 1018, 621, 814, 1044, 8036, 593, 543, 1281, 711, 723, 1991, 1702, 827, 968, 4462, 24286, 519, 23586, 25491, 9731, 20756, 972, 267, 594, 6557, 667, 2033, 14105, 24335, 267, 543, 594, 6557, 782, 827, 4687, 4241, 1702, 267, 3377, 267, 543, 3905, 3584, 269, 594, 6557, 13730, 827, 1565, 543, 723, 513, 5679, 871, 585, 28976, 1950, 2093, 269, 2913, 779, 2263, 1927, 2336, 268, 16473, 15604, 654, 3996, 281, 11162, 28066, 1562, 1354, 519, 12019, 2336, 268, 1548, 568, 513, 5739, 2890, 6716, 1143, 888, 268, 1548, 2829, 723, 519, 21098, 532, 17079, 888, 268, 1955, 476, 3451, 4374, 9176, 543, 1250, 4816, 568, 23222, 577, 888, 268, 18984, 1516, 3752, 334, 281, 5020, 607, 513, 700, 821, 569, 17266, 16474, 454, 268, 1879, 547, 2638, 512, 3333, 1310, 4358, 5348, 628, 5514, 888, 268, 13028, 519, 31597, 6651, 281, 1215, 547, 1744, 17532, 513, 9931, 888, 268, 1548, 568, 26388, 17552, 565, 3729, 1031, 585, 888, 268, 1548, 1281, 27514, 8324, 798, 585, 707, 4552, 888, 268, 1215, 547, 1521, 14711, 14331, 286, 0, 24082, 21850, 21822, 5456, 9970, 1299, 589, 2793, 14877, 23154, 700, 5723, 454, 288, 6355, 11106, 543, 24630, 630, 10292, 26031, 264, 6997, 568, 513, 7463, 9744, 1369, 606, 3919, 610, 3872, 9872, 602, 568, 6131, 547, 3384, 543, 9001, 4359, 1239, 12642, 2645, 543, 2553, 547, 2744, 4030, 543, 1118, 1239, 12454, 3664, 563, 763, 2978, 3335, 2882, 8800, 543, 3301, 2200, 585, 1239, 11601, 267, 1239, 4859, 267, 1239, 4393, 267, 543, 1239, 14839, 269, 898, 949, 849, 723, 513, 2319, 540, 1239, 3744, 267, 1870, 19767, 267, 543, 824, 4966, 945, 616, 3743, 585, 10647, 1382, 267, 3384, 3631, 267, 543, 10451, 4030, 1210, 4359, 1239, 12642, 2553, 971, 607, 3684, 1565, 267, 1239, 5599, 267, 16762, 12642, 267, 543, 2067, 1893, 4393, 563, 1103, 3872, 5238, 267, 513, 19739, 26031, 2978, 2488, 1053, 609, 3946, 6823, 1995, 538, 1210, 4359, 1239, 12642, 2645, 543, 2553, 267, 7175, 873, 547, 1020, 2872, 268, 2819, 1983, 538, 2127, 971, 607, 1239, 2359, 267, 1239, 2079, 267, 1239, 14839, 267, 543, 1239, 7664, 269, 634, 2978, 666, 849, 581, 1031, 547, 2932, 1382, 543, 5647, 267, 3056, 547, 519, 1646, 540, 1007, 4485, 543, 3435, 538, 1585, 4610, 267, 1519, 3782, 267, 8804, 267, 543, 6725, 563, 14454, 267, 513, 19739, 26031, 2978, 2488, 3906, 543, 3872, 5238, 609, 513, 3532, 1907, 585, 11543, 4030, 689, 1239, 267, 1818, 1239, 12454, 3664, 267, 543, 9363, 8013, 538, 2221, 781, 1239, 12454, 1158, 563, 15307, 629, 7667, 513, 6355, 11106, 543, 24630, 630, 10292, 26031, 264, 2978, 538, 2362, 2069, 32112, 814, 1896, 1713, 2640, 912, 26670, 3496, 1053, 262, 1565, 1995, 281, 589, 19739, 26031, 2978, 2488, 1053, 609, 3946, 6823, 1995, 538, 1210, 4359, 1239, 12642, 2645, 543, 2553, 267, 799, 666, 3986, 741, 1565, 1995, 543, 16491, 873, 609, 519, 1983, 789, 991, 547, 8011, 538, 519, 2816, 2344, 563, 29753, 2872, 268, 2819, 1983, 281, 1306, 4213, 5051, 7048, 593, 1239, 12454, 3375, 6194, 267, 19739, 26031, 1983, 616, 538, 1164, 3747, 538, 1082, 6080, 269, 589, 19739, 26031, 2978, 666, 948, 1053, 1020, 1983, 602, 616, 4143, 547, 519, 2115, 540, 4213, 267, 1818, 873, 811, 10694, 547, 1761, 12820, 563, 21886, 15758, 1382, 543, 5647, 281, 19739, 26031, 22475, 666, 581, 1031, 547, 2932, 1382, 593, 3584, 971, 607, 1239, 5599, 267, 16762, 12642, 267, 543, 3684, 1565, 267, 3056, 547, 5499, 3435, 602, 666, 4324, 1585, 4610, 267, 1519, 3782, 267, 8804, 267, 543, 6725, 563, 18719, 1324, 12250, 7145, 281, 19739, 26031, 666, 948, 2362, 2069, 5238, 2445, 543, 5659, 1239, 593, 1585, 3344, 540, 741, 4238, 267, 971, 607, 2875, 27350, 267, 12802, 267, 543, 22692, 3928, 267, 547, 2697, 2127, 585, 6454, 543, 1118, 1239, 12454, 3664, 563, 1805, 21880, 28517, 12352, 609, 2872, 281, 26787, 513, 19739, 26031, 2978, 666, 1711, 3255, 585, 12352, 609, 4213, 267, 3056, 547, 22631, 4721, 267, 1382, 21769, 267, 543, 824, 20102, 6225, 12352, 563, 14454, 267, 9591, 513, 19739, 26031, 2978, 538, 2362, 2069, 32112, 666, 4324, 1053, 267, 12200, 267, 5238, 267, 543, 2872, 4891, 676, 3246, 3255, 585, 1565, 267, 1382, 267, 5647, 267, 543, 5698, 269, 0, 763, 2229, 4566, 547, 15974, 2596, 3652, 585, 519, 1382, 543, 1646, 540, 5841, 4987, 693, 513, 6828, 540, 18599, 5870, 540, 26110, 538, 5279, 540, 1344, 543, 2792, 2029, 2663, 713, 3923, 267, 2959, 1767, 11016, 563, 763, 19424, 539, 11556, 568, 4397, 547, 3343, 519, 10661, 540, 5216, 3741, 267, 1519, 519, 2956, 540, 18245, 1480, 15683, 543, 7863, 7834, 950, 3384, 2780, 2257, 602, 3947, 6191, 1480, 3697, 4987, 563, 1103, 4156, 16457, 543, 18058, 10579, 5842, 2801, 570, 10440, 24734, 568, 4397, 547, 1459, 519, 5216, 3741, 693, 519, 1079, 6377, 717, 268, 278, 5870, 4358, 593, 4989, 476, 3066, 538, 28635, 600, 1846, 340, 267, 918, 698, 11867, 2776, 2739 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 12968, 832, 10789, 476, 273, 281, 7010, 540, 476, 273, 12430, 12307, 692, 1892, 4147, 281, 12968, 832, 10789, 476, 273, 454, 1892, 8191, 281, 8834, 25304, 454, 1892, 7956, 281, 10789, 543, 26344, 5852, 281, 12856, 543, 6396, 267, 9466, 692, 15612, 1807, 15765, 267, 855, 1152, 585, 12980, 267, 8259, 6382, 9138, 563, 272, 269, 16534, 1210, 519, 24275, 10626, 593, 707, 9498, 269, 8382, 547, 519, 14282, 8536, 628, 26142, 6234, 1422, 8218, 9387, 15857, 28363, 6912, 346, 273, 348, 1422, 10383, 1535, 1341, 1422, 6912, 346, 274, 348, 1422, 10383, 586, 17851, 910, 275, 8607, 1422, 7032, 1535, 910, 476, 1724, 344, 17851, 1422, 6912, 346, 1015, 348, 1422, 754, 9387, 265, 8679, 273, 269, 8827, 630, 274, 269, 6795, 275, 267, 476, 271, 269, 27698, 994, 274, 269, 16534, 1210, 18839, 26142, 6234, 1422, 8218, 9387, 15857, 476, 277, 343, 910, 476, 276, 344, 17851, 476, 279, 8607, 1535, 910, 476, 273, 344, 17851, 910, 272, 1422, 754, 9387, 265, 8679, 275, 269, 8827, 630, 274, 267, 476, 273, 994, 276, 269, 16534, 676, 5276, 10659, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 12757, 2410, 273, 348, 1341, 1422, 2765, 26635, 2410, 275, 348, 17851, 1422, 2765, 346, 272, 2410, 275, 348, 8607, 1422, 2765, 346, 276, 343, 2410, 273, 348, 1341, 586, 17851, 476, 273, 1422, 754, 9387, 265, 8679, 277, 269, 8827, 630, 273, 267, 910, 274, 994, 278, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 346, 273, 343, 2410, 274, 348, 1341, 1422, 2765, 346, 274, 344, 2410, 276, 348, 17851, 476, 272, 8607, 1535, 910, 1422, 2765, 346, 274, 2410, 273, 348, 17851, 28363, 2765, 346, 280, 344, 2410, 1015, 348, 1422, 754, 9387, 265, 8679, 279, 269, 8827, 667, 8817, 454, 280, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 346, 276, 343, 1341, 476, 274, 344, 2410, 273, 348, 17851, 476, 273, 343, 910, 476, 274, 8607, 476, 276, 12169, 910, 1535, 264, 17851, 476, 1691, 344, 1422, 754, 9387, 265, 8679, 1015, 269, 8827, 630, 280, 267, 910, 276, 994, 1556, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 476, 275, 343, 1341, 476, 273, 344, 17851, 476, 277, 8607, 476, 274, 344, 17851, 910, 277, 343, 1341, 476, 280, 1422, 754, 9387, 265, 8679, 1321, 269, 8827, 667, 8817, 454, 1724, 269, 16534, 676, 1022, 1505, 269, 1422, 6234, 1422, 8218, 9387, 15857, 476, 273, 263, 274, 343, 910, 476, 276, 344, 264, 17851, 476, 278, 8607, 476, 1428, 344, 17851, 476, 280, 343, 1341, 476, 272, 1422, 754, 9387, 265, 8679, 1691, 269, 8827, 769, 4621, 11962, 0, 258, 10022, 3070, 547, 22357, 11186, 3830, 692, 272, 269, 9484, 476, 1839, 267, 476, 1001, 275, 692, 2162, 1768, 14535, 5633, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 3528, 959, 15635, 908, 519, 11186, 3830, 2630, 693, 562, 284, 1321, 267, 17589, 519, 1106, 540, 519, 3070, 267, 13844, 7215, 585, 782, 519, 606, 1723, 324, 13266, 538, 2474, 540, 519, 9936, 4399, 14433, 16859, 273, 269, 31999, 4834, 454, 763, 744, 14701, 568, 912, 11377, 2765, 3189, 9507, 18097, 317, 273, 4153, 12978, 476, 7346, 9507, 18097, 348, 1535, 317, 273, 348, 815, 1422, 2765, 3189, 12978, 3867, 274, 270, 273, 12453, 343, 3867, 272, 270, 273, 3686, 9681, 296, 993, 5143, 602, 519, 3435, 723, 519, 1106, 1384, 11377, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 274, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 274, 270, 273, 15732, 274, 269, 634, 3801, 693, 513, 3070, 454, 763, 1259, 594, 723, 12193, 3126, 4834, 1354, 729, 547, 1226, 622, 519, 14170, 540, 899, 7060, 540, 1535, 269, 769, 713, 2013, 267, 2705, 267, 594, 723, 1346, 1535, 18284, 519, 3597, 267, 543, 594, 1810, 1405, 917, 875, 547, 979, 827, 3257, 713, 269, 594, 723, 519, 2474, 267, 3842, 4223, 11490, 320, 269, 1809, 594, 1810, 1405, 917, 875, 547, 1205, 3347, 1063, 519, 14170, 780, 24927, 630, 17806, 2187, 335, 20572, 318, 316, 28701, 476, 272, 1341, 1422, 314, 299, 10033, 30297, 343, 1341, 5681, 314, 8138, 27771, 314, 320, 267, 562, 30297, 343, 22677, 333, 270, 273, 1070, 2715, 333, 267, 476, 274, 267, 476, 1321, 348, 30092, 335, 9536, 20572, 318, 316, 2433, 23751, 11764, 314, 8138, 27771, 314, 320, 267, 562, 316, 16732, 333, 317, 273, 910, 476, 273, 265, 333, 8358, 275, 1535, 317, 9230, 333, 910, 476, 275, 8358, 273, 1070, 2715, 333, 267, 476, 274, 267, 476, 1321, 348, 316, 16963, 299, 9391, 815, 533, 9536, 20572, 316, 910, 1535, 317, 8987, 272, 270, 273, 31618, 335, 20572, 8079, 22677, 274, 270, 273, 2020, 8310, 12995, 676, 513, 15645, 1807, 281, 9484, 476, 1839, 267, 476, 1001, 275, 454, 273, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 3771, 639, 24128, 692, 2710, 596, 1611, 6695, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 273, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 333, 6525, 2496, 274, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 1768, 14535, 5633, 692, 5591, 267, 855, 594, 1705, 1118, 606, 5470, 538, 519, 1657, 269, 898, 1058, 581, 1384, 11377, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 274, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 333, 270, 273, 15732, 3719, 594, 666, 1405, 4137, 856, 875, 547, 12575, 1250, 3312, 2022, 780, 275, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 3771, 639, 24128, 692, 6546, 5267, 547, 803, 519, 18839, 1535, 815, 579, 273, 269, 670, 13273, 1405, 6836, 621, 267, 1498, 269, 0, 427, 375, 379, 28981, 513, 10859, 2275, 22511, 692, 29493, 1154, 513, 10859, 2275, 22511, 692, 288, 2370, 11015, 547, 5180, 519, 3923, 856, 269, 1284, 1376, 856, 609, 513, 1770, 10859, 2275, 22511, 1384, 304, 281, 1548, 568, 519, 1858, 540, 519, 2699, 26484, 3148, 2630, 22112, 676, 1384, 296, 1223, 1589, 540, 1079, 4244, 2081, 540, 6061, 269, 2290, 1210, 9511, 267, 543, 519, 824, 1210, 11810, 269, 634, 11810, 3070, 568, 1129, 325, 545, 14688, 811, 1594, 539, 855, 267, 9684, 2685, 267, 1312, 2409, 2132, 519, 1482, 1267, 2439, 12663, 596, 1491, 519, 2699, 10788, 267, 610, 519, 4544, 10788, 2496, 16387, 20145, 1677, 4194, 22762, 29182, 267, 649, 666, 2736, 519, 26484, 3148, 883, 1614, 4773, 281, 589, 267, 645, 267, 595, 589, 543, 595, 616, 12730, 630, 5976, 5360, 11948, 520, 787, 7285, 1070, 543, 645, 568, 513, 10116, 5858, 10126, 609, 1770, 8953, 269, 634, 1858, 540, 1312, 12730, 7140, 856, 547, 581, 519, 1482, 630, 327, 2788, 519, 3490, 2053, 519, 7299, 4463, 1040, 5681, 2719, 909, 891, 1614, 4525, 3947, 721, 519, 2626, 269, 5221, 649, 917, 519, 3830, 540, 519, 10859, 2275, 22511, 267, 543, 519, 7182, 267, 649, 666, 946, 5610, 547, 1265, 519, 1858, 18284, 519, 7455, 780, 2791, 666, 1265, 513, 2347, 1592, 540, 782, 519, 4930, 1934, 269, 3396, 1109, 1109, 12812, 1934, 547, 4309, 4757, 25887, 593, 1007, 4930, 269, 0, 1012, 14506, 281, 3400, 653, 1782, 609, 29203, 19449, 3380, 543, 23155, 9999, 910, 8791, 476, 274, 281, 8092, 532, 692, 22998, 18807, 547, 1265, 519, 3070, 568, 2141, 513, 1434, 4640, 269, 594, 899, 519, 2856, 602, 1250, 1053, 1185, 547, 4019, 1018, 789, 6785, 269, 1284, 1810, 1405, 2356, 1205, 782, 540, 519, 1344, 2877, 547, 4194, 513, 1966, 543, 594, 899, 547, 5873, 1018, 789, 1589, 950, 3843, 547, 1265, 519, 1344, 2877, 269, 594, 849, 899, 519, 2856, 602, 789, 666, 1405, 1175, 31163, 1076, 606, 2626, 1524, 865, 789, 666, 5965, 547, 4734, 269, 22628, 873, 1118, 519, 4296, 729, 1434, 21533, 780, 22998, 7982, 1189, 454, 24836, 653, 1782, 609, 29203, 281, 11554, 7982, 1189, 692, 258, 19449, 3380, 543, 23155, 9999, 692, 16215, 476, 280, 281, 476, 273, 5937, 12763, 906, 454, 8893, 476, 280, 540, 476, 1321, 692, 1012, 8262, 22830, 281, 1215, 616, 10580, 543, 6252, 9999, 1644, 2496, 19530, 7689, 454, 272, 4116, 15055, 713, 3992, 454, 18184, 1841, 912, 20428, 4433, 2187, 2412, 3764, 692, 2162, 808, 3385, 12722, 692, 7462, 5381, 16497, 692, 30607, 10289, 8562, 636, 12401, 454, 277, 628, 6103, 4569, 9732, 16387, 454, 19136, 22830, 281, 1548, 568, 14039, 267, 19037, 286, 4841, 2263, 519, 2078, 1063, 18592, 543, 8006, 676, 7893, 513, 3099, 540, 10580, 543, 946, 621, 547, 17589, 519, 4542, 585, 18592, 563, 293, 2948, 2572, 263, 1626, 994, 4910, 1545, 263, 3374, 994, 306, 558, 969, 4068, 267, 10790, 454, 5319, 1444, 281, 12124, 692, 30607, 32309, 540, 7054, 10585, 25351, 559, 710, 541, 25609, 454, 278, 628, 6103, 4569, 9732, 16387, 454, 19136, 22830, 281, 4841, 946, 519, 3601, 540, 25965, 547, 3605, 7508, 7516, 563, 293, 2948, 2572, 263, 278, 994, 4910, 1545, 263, 866, 994, 6124, 20252, 267, 15829, 454, 5319, 1444, 281, 12124, 692, 30607, 20556, 9737, 8562, 636, 12401, 543, 18924, 2678, 910, 1548, 568, 14039, 888, 278, 628, 6103, 4569, 9732, 2983, 6248, 20970, 454, 19136, 22830, 281, 9894, 596, 2161, 2650, 286, 610, 14039, 286, 20780, 538, 513, 9764, 6221, 585, 1362, 267, 543, 621, 952, 4523, 547, 581, 1426, 910, 32217, 2464, 26041, 2336, 293, 2948, 2572, 263, 2420, 994, 4910, 1545, 263, 1691, 994, 14976, 517, 267, 12135, 454, 5319, 1444, 281, 4427, 18076, 454, 338, 793, 909, 610, 454, 306, 15036, 4682, 4636, 269, 6423, 3877, 585, 811, 9623, 454, 23875, 547, 14202, 3877, 2673, 0, 258, 9315, 1400, 8635, 2243, 1031, 538, 18234, 781, 11532, 6169, 692, 1103, 808, 3663, 781, 5590, 7869, 267, 14497, 476, 279, 269, 1724, 2829, 1384, 2252, 519, 7327, 983, 9315, 10904, 29138, 6585, 585, 782, 13737, 3556, 10904, 609, 1071, 21129, 1275, 6695, 18652, 18079, 1287, 621, 6585, 585, 782, 13737, 3556, 10904, 780, 4517, 19748, 2742, 476, 279, 269, 1691, 2829, 1384, 4131, 6695, 330, 28385, 2330, 581, 513, 13737, 29039, 971, 602, 6695, 3667, 346, 22396, 32710, 330, 28385, 264, 285, 315, 18652, 2330, 543, 6695, 14433, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 283, 315, 330, 28385, 2330, 585, 782, 6695, 14433, 283, 315, 330, 28385, 29634, 2690, 513, 3339, 5311, 6695, 15927, 315, 30848, 315, 330, 28385, 29192, 10401, 24097, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 9385, 15927, 315, 26917, 2330, 609, 6695, 3916, 1422, 330, 28385, 29192, 10401, 7807, 330, 28385, 18079, 952, 519, 1305, 6695, 3189, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 2567, 315, 330, 28385, 29192, 10401, 17353, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 14587, 7807, 330, 28385, 29192, 10401, 317, 10954, 6525, 568, 19335, 267, 1287, 6695, 330, 28385, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 7807, 330, 28385, 317, 266, 29634, 1103, 808, 3663, 267, 519, 6169, 540, 519, 14497, 476, 279, 269, 1724, 4422, 607, 5205, 281, 1284, 6961, 713, 11532, 676, 15632, 593, 519, 1071, 21129, 1275, 540, 6695, 330, 28385, 21974, 2913, 6695, 330, 28385, 2330, 581, 513, 13737, 29039, 602, 814, 606, 4608, 870, 762, 1071, 21129, 1275, 269, 2290, 666, 1397, 676, 15632, 593, 6695, 14433, 2330, 602, 6695, 14433, 283, 315, 330, 28385, 2330, 10522, 6695, 14433, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 283, 315, 330, 28385, 21974, 3973, 585, 513, 3339, 5311, 692, 11377, 15927, 315, 30848, 315, 330, 28385, 29192, 10401, 24097, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 315, 15927, 315, 26917, 9681, 7945, 602, 6695, 3916, 315, 330, 28385, 29192, 10401, 7807, 330, 28385, 18079, 4063, 602, 519, 1305, 692, 2330, 306, 7807, 15927, 28381, 1422, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 2567, 315, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 264, 31386, 18652, 20728, 346, 543, 7684, 273, 17353, 531, 32397, 318, 271, 348, 283, 315, 330, 28385, 29192, 10401, 1422, 15927, 315, 15732, 529, 513, 19335, 1305, 538, 6695, 3667, 346, 22396, 32710, 330, 28385, 14638, 269, 1635, 938, 8367, 267, 649, 917, 6695, 10401, 22174, 590, 2330, 10522, 6695, 330, 28385, 29192, 10401, 17353, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 264, 13157, 7268, 330, 28385, 29192 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 4985, 1384, 1103, 2221, 781, 3059, 2085, 267, 1141, 938, 2729, 616, 5051, 23091, 609, 2029, 267, 4180, 519, 3354, 540, 938, 7384, 1949, 814, 2760, 1044, 811, 2565, 269, 1306, 649, 7048, 593, 5904, 585, 3388, 689, 2228, 12948, 547, 13936, 6213, 2123, 1344, 267, 7863, 6000, 543, 938, 1239, 689, 17351, 6285, 568, 1898, 269, 901, 3184, 786, 5490, 883, 519, 4909, 3741, 540, 2780, 1062, 3354, 267, 3246, 596, 609, 513, 4396, 5748, 538, 713, 2629, 1858, 540, 1353, 269, 1284, 786, 2263, 3584, 971, 607, 1569, 1852, 267, 14238, 267, 17452, 267, 543, 5150, 8193, 2853, 267, 782, 1369, 519, 2796, 540, 2413, 5665, 1949, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 6591, 513, 4514, 1620, 540, 875, 547, 2149, 707, 7384, 1949, 1996, 1761, 6937, 543, 16426, 780, 16966, 6513, 281, 634, 3689, 7412, 540, 16470, 692, 4263, 922, 4295, 267, 1569, 1852, 4016, 547, 519, 1184, 676, 799, 3755, 543, 2200, 616, 11292, 610, 17792, 1808, 27704, 1759, 593, 741, 3961, 267, 1909, 267, 610, 1377, 540, 24999, 269, 7743, 569, 8045, 1569, 8060, 4196, 607, 519, 1101, 1899, 540, 8878, 538, 17516, 1022, 7384, 1062, 269, 7457, 1852, 6127, 666, 581, 19040, 883, 1614, 3119, 6688, 281, 24787, 776, 1569, 1852, 630, 291, 3722, 1070, 16601, 1569, 1852, 630, 300, 3722, 1070, 543, 1909, 2861, 1569, 1852, 630, 305, 289, 3722, 1040, 2913, 721, 4983, 1142, 7121, 538, 2490, 780, 272, 269, 2598, 17917, 776, 7457, 6513, 630, 291, 3722, 2567, 667, 3722, 2636, 519, 8227, 540, 513, 4199, 547, 3313, 945, 666, 1569, 602, 4199, 543, 896, 1018, 2175, 269, 1280, 1383, 267, 3758, 27704, 1305, 676, 513, 3593, 593, 513, 1133, 1460, 6438, 5665, 1062, 616, 606, 3236, 540, 667, 3722, 269, 2755, 8465, 267, 667, 3722, 666, 1291, 547, 3354, 4220, 952, 13817, 29664, 323, 610, 16789, 569, 7307, 563, 273, 269, 13495, 2218, 7457, 6513, 630, 300, 3722, 2567, 26914, 28352, 7453, 267, 21712, 1569, 1852, 3652, 5462, 676, 3844, 6392, 5515, 269, 1452, 4507, 3112, 581, 12012, 676, 1367, 3755, 267, 1818, 873, 4998, 585, 1164, 5498, 2579, 5054, 899, 4108, 19698, 610, 2229, 8041, 269, 1323, 1383, 540, 513, 26914, 7271, 568, 8232, 268, 26670, 2331, 12380, 630, 306, 5085, 514, 5060, 1070, 799, 3096, 10297, 547, 17997, 1569, 1852, 3664, 563, 274, 269, 10020, 15369, 7457, 6513, 630, 305, 289, 3722, 2567, 681, 289, 3722, 3651, 338, 27704, 547, 5107, 2864, 982, 2043, 267, 28976, 7245, 4247, 1247, 4509, 3354, 269, 20305, 616, 1287, 8655, 3617, 5107, 1759, 593, 741, 2816, 3252, 269, 1280, 1383, 267, 513, 6413, 1522, 946, 681, 289, 3722, 547, 9886, 7189, 1569, 547, 3461, 5638, 1247, 28142, 11889, 5234, 547, 20319, 543, 536, 3739, 3252, 780, 21886, 11736, 281, 27986, 4578, 693, 10163, 543, 538, 3690, 527, 692, 10574, 14238, 4249, 513, 4105, 1909, 538, 17420, 6213, 1344, 1312, 950, 621, 568, 6740, 630, 11907, 693, 1964, 264, 543, 1282, 6771, 630, 11907, 538, 18302, 1040, 2311, 922, 1034, 2596, 1377, 267, 14238, 3322, 14291, 10750, 3667, 630, 1348, 762, 1239, 264, 883, 29905, 3667, 630, 684, 1348, 762, 1239, 264, 1210, 513, 5728, 1883, 1634, 1152, 547, 17101, 6105, 269, 5565, 1292, 2010, 540, 14238, 2291, 281, 21136, 543, 12623, 13240, 780, 272, 269, 6641, 13240, 7402, 11736, 281, 4746, 1572, 5728, 268, 4486, 25563, 267, 21136, 14238, 18271, 519, 1482, 1883, 585, 1312, 17278, 532, 543, 1232, 7973, 532, 6835, 269, 6201, 540, 21136, 14238, 6620, 1331, 11628, 7402, 11736, 9208, 630, 288, 2464, 1070, 4578, 7402, 11736, 9208, 630, 291, 2464, 1070, 543, 10222, 921, 23370, 630, 274, 291, 2464, 1040, 6736, 1373, 5266, 3728, 267, 21136, 14238, 3340, 5150, 9055, 547, 5385, 10569, 1063, 14379, 9988, 563, 273, 269, 1306, 2096, 13240, 7402, 11736, 281, 4746, 5219, 547, 607, 1857, 268, 4486, 25563, 267, 12623, 13240, 14238, 18252, 1079, 28879, 5532, 10569, 12544, 1857, 1883, 2139, 547, 4896, 543, 513, 4357, 1883, 4371, 14311, 676, 519, 5048, 18579, 269, 1879, 1239, 568, 24290, 609, 513, 1857, 1883, 267, 1152, 519, 7222, 4357, 1883, 666, 1232, 7973, 621, 267, 3976, 8497, 22637, 269, 5871, 12623, 13240, 14238, 6620, 1331, 681, 6347, 543, 11875, 328, 10364, 4354, 557, 15303, 2762, 630, 4488, 290, 1040, 9603, 547, 14887, 4393, 11250, 3379, 547, 21136, 14238, 267, 12623, 13240, 14238, 568, 3335, 1031, 547, 3715, 5150, 4296, 267, 1310, 799, 5488, 21136, 14238, 2409, 1491, 936, 585, 5571, 10618, 780, 8505, 5782, 1709, 281, 7638, 4328, 14871, 5772, 885, 692, 8505, 5782, 1709, 5713, 607, 519, 22294, 540, 9591, 3972, 1063, 3755, 543, 7384, 1949, 269, 898, 3322, 2357, 4328, 519, 10645, 3961, 540, 513, 3593, 998, 1945, 789, 917, 630, 10139, 6919, 267, 623, 2562, 338, 1070, 4865, 630, 8243, 691, 6486, 267, 21797, 1070, 610, 616, 630, 6798, 6248, 338, 1040, 11638, 29969, 17452, 630, 300, 11902, 264, 10905, 2789, 3029, 540, 17452, 2188, 547, 1683, 6793, 3354, 18715, 269, 10426, 5320, 2861, 17452, 3788, 2442, 5103, 7915, 12755, 1813, 547, 922, 8897, 540, 17293, 543, 1970, 1942, 282, 2705, 267, 4244, 4485, 971, 607, 1979, 6248, 17452, 2709, 9621, 8925, 1510, 13461, 593, 3362, 7058, 762, 18538, 780, 20376, 675, 32017, 13756, 281, 16473, 532, 23977, 1676, 3809, 692, 6624, 1455, 3354, 23563, 1267, 689, 13385, 3403, 15418, 267, 17280, 24492, 7518, 1080, 267, 543, 14069, 13297, 6285, 269, 20074, 7347, 8193, 2853, 2337, 2061, 891, 16426, 689, 16109, 538, 519, 1101, 1747, 269, 2368, 1655, 2853, 1331, 1384, 265, 18452, 4406, 9179, 281, 4406, 28371, 782, 11378, 4607, 689, 5007, 2959, 267, 10992, 585, 2953, 3898, 267, 3259, 267, 2039, 267, 1826, 267, 3092, 563, 265, 20873, 518, 3683, 6503, 338, 281, 2142, 13533, 540, 5044, 6302, 950, 7829, 3965, 14305, 267, 632, 718, 6327, 267, 543, 12879, 547, 2057, 10518, 1159, 4770, 610, 24050, 13313, 563, 265, 24344, 29026, 281, 22982, 1134, 1673, 29545, 8021, 543, 10850, 8164, 2009, 267, 9319, 2688, 30582, 8259, 2556, 563, 265, 18438, 30047, 281, 7435, 548, 6959, 30780, 267, 4180, 8766, 24694, 540, 6213, 1344, 1247, 7303, 24677, 6361, 28129, 630, 2710, 306, 264, 6285, 4611, 689, 796, 8518, 1194, 17756, 563, 265, 8943, 17352, 1299, 13281, 281, 17115, 2689, 3009, 585, 1761, 3354, 2152, 543, 1685, 11826, 4152, 547, 2697, 543, 16185, 16426, 780, 6962, 692, 2026, 2486, 3587, 2479, 811, 882, 5050, 593, 7384, 1949, 267, 13215, 519, 17950, 540, 2780, 1062, 3354, 9428, 5051, 1271, 269, 3414, 3695, 3584, 971, 607, 1569, 1852, 267, 14238, 267, 17452, 267, 543, 5150, 8193, 2853, 267, 713, 3184, 6322, 547, 16491, 3988, 609, 513, 2178, 13654, 1620, 540, 3354, 9270, 1369, 2413, 5665, 1949, 269, 20331, 609, 713, 1702, 267, 2104, 9439, 786, 1732, 6330, 1950, 3354, 2591, 15054, 676, 9687, 4066, 543, 10779, 2456, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23430, 10361, 281, 8176, 26791, 454, 10112, 1539, 622, 4972, 10361, 281, 27584, 601, 1520, 8932, 454, 12709, 8525, 281, 5291, 2517, 4178, 6983, 338, 25331, 7032, 12975, 13045, 20663, 2257, 568, 519, 1353, 540, 519, 1374, 267, 2079, 267, 2792, 267, 6388, 267, 543, 3498, 540, 12985, 3157, 269, 11759, 5396, 540, 713, 9015, 1331, 3301, 1949, 630, 7945, 607, 5665, 1949, 543, 5121, 264, 543, 5752, 4654, 630, 10175, 1374, 543, 824, 1893, 8144, 2645, 1040, 1358, 849, 1331, 2780, 8800, 1949, 267, 519, 1374, 543, 2079, 540, 1239, 3889, 543, 6620, 267, 543, 519, 7811, 4493, 540, 19106, 267, 538, 1880, 519, 6988, 540, 19106, 269, 769, 1840, 547, 891, 4295, 5396, 267, 1585, 3498, 2127, 616, 1930, 547, 1053, 267, 1519, 5841, 4987, 267, 2780, 12449, 267, 12240, 267, 23066, 1357, 267, 1702, 6041, 543, 7744, 267, 3621, 543, 25948, 19106, 267, 2780, 5075, 267, 6880, 8882, 5509, 267, 2780, 543, 3060, 3354, 267, 1239, 5599, 267, 17562, 267, 12985, 8804, 267, 6252, 543, 7856, 1949, 267, 543, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 12053, 26386, 257, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 772, 332, 9564, 2037, 5341, 618, 281, 30459, 631, 2313, 7741, 883, 2659, 13067, 17360, 26990, 619, 692, 17730, 8949, 19804, 9564, 1790, 17977, 6980, 666, 21592, 707, 5986, 1983, 543, 23666, 707, 2828, 543, 1920, 269, 901, 15825, 786, 3391, 596, 998, 7393, 519, 8137, 9043, 540, 707, 19471, 3276, 7970, 676, 6220, 17228, 910, 513, 2067, 2707, 540, 19804, 9564, 269, 1635, 1739, 891, 3268, 267, 596, 3513, 1451, 875, 547, 5965, 267, 3434, 267, 543, 9192, 17228, 609, 1585, 5820, 547, 1711, 575, 712, 5471, 3276, 7970, 2407, 540, 3638, 267, 29902, 16919, 780, 2162, 3487, 476, 272, 540, 476, 274, 281, 19369, 692, 2971, 5153, 476, 272, 281, 8564, 18610, 631, 2313, 7741, 692, 303, 21332, 4195, 17228, 971, 607, 1212, 2381, 328, 267, 695, 328, 527, 820, 267, 610, 2823, 984, 10314, 585, 6099, 2164, 269, 6733, 585, 6109, 267, 3819, 17228, 1510, 20015, 2478, 610, 3441, 269, 3680, 28489, 344, 3283, 267, 607, 789, 1522, 5815, 27253, 720, 269, 1403, 2009, 267, 4444, 5214, 3132, 547, 7413, 4598, 547, 6464, 780, 2971, 5153, 476, 273, 281, 11162, 519, 631, 2313, 7741, 7743, 569, 692, 294, 1836, 2973, 519, 17228, 1210, 513, 2571, 11453, 610, 14927, 1957, 24621, 3079, 540, 32092, 532, 873, 14015, 269, 21418, 7509, 5012, 547, 1216, 8421, 3022, 17228, 799, 1810, 1405, 1286, 14712, 1125, 1134, 1282, 5986, 269, 4793, 873, 3819, 1354, 23312, 547, 14299, 4771, 780, 2971, 5153, 476, 274, 281, 932, 641, 519, 631, 2313, 7741, 20963, 569, 692, 293, 710, 569, 18062, 519, 17228, 865, 741, 9403, 24025, 16900, 609, 519, 2666, 5779, 7848, 269, 1411, 666, 849, 13942, 873, 538, 513, 1426, 16267, 2394, 29656, 22872, 855, 2057, 936, 30112, 547, 2061, 7432, 873, 883, 13594, 780, 2971, 5153, 476, 275, 281, 28799, 631, 2313, 7741, 609, 16140, 29133, 692, 300, 1460, 3160, 2694, 540, 22872, 17228, 630, 2421, 2597, 264, 609, 2666, 5779, 630, 324, 3052, 1421, 14132, 267, 9269, 267, 21429, 1040, 1280, 1383, 267, 952, 1210, 835, 11013, 540, 2666, 5779, 267, 6451, 835, 11013, 540, 22872, 17228, 269, 4635, 707, 3946, 267, 9900, 3575, 1312, 3334, 1927, 2394, 14961, 7856, 269, 3683, 332, 30480, 949, 1267, 538, 10053, 1273, 2906, 267, 865, 6023, 519, 7848, 30194, 780, 2162, 3487, 476, 273, 540, 476, 274, 281, 18181, 692, 2971, 5153, 476, 276, 281, 19147, 543, 4813, 4793, 2906, 692, 19667, 728, 519, 5779, 2173, 2313, 3336, 7848, 883, 13980, 2687, 547, 707, 9053, 2450, 543, 3337, 7833, 1273, 2906, 269, 13667, 585, 5594, 25182, 8728, 982, 519, 4099, 2094, 789, 4043, 547, 726, 2794, 909, 950, 11273, 269, 5269, 2386, 711, 547, 14771, 519, 1273, 2906, 1932, 1454, 282, 6382, 267, 789, 1831, 9157, 780, 2971, 5153, 476, 277, 281, 2776, 17742, 6182, 650, 610, 4787, 32576, 692, 7093, 6768, 2901, 513, 1989, 650, 610, 1236, 32576, 676, 840, 515, 908, 621, 936, 5420, 3002, 269, 5696, 5241, 519, 2627, 21066, 609, 3282, 5849, 2653, 5305, 543, 11151, 23578, 269, 4495, 3905, 267, 1747, 519, 1273, 2906, 5196, 519, 1989, 919, 610, 3443, 780, 2971, 5153, 476, 278, 281, 13648, 4634, 569, 593, 5637, 590, 1938, 692, 290, 809, 519, 1273, 2906, 585, 5111, 2185, 3764, 829, 2427, 585, 5420, 1810, 8864, 269, 17797, 942, 1759, 593, 11098, 543, 5551, 1377, 540, 1810, 8864, 269, 2422, 513, 22883, 3121, 547, 16212, 5402, 267, 4180, 1100, 751, 2130, 4386, 269, 14190, 15895, 3002, 547, 9096, 5986, 1310, 9427, 689, 1463, 3002, 780, 2971, 5153, 476, 279, 281, 6744, 18378, 18323, 692, 2690, 3106, 4128, 267, 2141, 2638, 519, 4835, 2837, 540, 707, 3276, 7970, 1210, 513, 3059, 26282, 269, 23453, 621 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 3308, 4082, 2164, 538, 519, 8007, 13374, 540, 519, 2634, 1373, 15181, 267, 3081, 12852, 6359, 320, 18087, 2711, 267, 2278, 540, 519, 1353, 634, 8551, 538, 31499, 269, 1879, 546, 797, 1782, 610, 7990, 532, 538, 267, 519, 1973, 2095, 547, 519, 4776, 30613, 16794, 540, 519, 2634, 568, 2799, 267, 1437, 908, 513, 2631, 540, 9740, 543, 8788, 267, 2687, 547, 519, 1353, 563, 9209, 4679, 519, 2157, 540, 22006, 538, 519, 1560, 269, 28576, 8533, 568, 519, 3114, 538, 519, 2634, 602, 3123, 12257, 543, 8788, 1547, 28576, 8533, 568, 849, 1634, 607, 519, 968, 300, 582, 10474, 11140, 892, 543, 666, 5818, 8404, 267, 1445, 543, 5834, 269, 589, 2631, 540, 22920, 543, 1582, 12635, 568, 849, 5818, 539, 950, 11264, 606, 11247, 563, 2026, 728, 689, 4227, 2566, 267, 1346, 945, 1711, 1148, 616, 849, 1447, 24949, 267, 723, 1447, 4160, 543, 616, 1447, 20158, 269, 901, 729, 3254, 998, 513, 1353, 676, 634, 3194, 4741, 585, 8551, 543, 9177, 630, 13612, 3722, 264, 693, 519, 2817, 4741, 585, 11300, 28544, 630, 301, 6717, 288, 1040, 1358, 1705, 513, 1353, 609, 9921, 5159, 543, 1336, 789, 616, 3810, 8647, 2818, 540, 2486, 543, 15321, 811, 476, 4586, 300, 25514, 2530, 3676, 267, 971, 607, 1546, 10879, 543, 12216, 781, 666, 849, 723, 2589, 540, 14699, 267, 20420, 267, 4965, 543, 4160, 269, 3203, 666, 2333, 5042, 5759, 543, 3965, 267, 799, 666, 5351, 538, 4227, 519, 2589, 540, 2634, 3676, 476, 4586, 9209, 666, 849, 948, 1346, 609, 5312, 3676, 269, 898, 2337, 873, 1445, 593, 1945, 3860, 543, 2769, 2933, 543, 741, 4606, 563, 9209, 1306, 589, 4813, 540, 10657, 454, 6624, 2090, 723, 3254, 602, 1312, 2937, 7990, 532, 3797, 267, 607, 1134, 607, 2757, 1148, 3797, 267, 723, 1044, 1634, 547, 6175, 2566, 543, 4160, 607, 1134, 607, 5818, 519, 30181, 540, 2550, 269, 3203, 3797, 568, 849, 513, 2922, 2230, 585, 2550, 547, 1184, 741, 4664, 543, 2769, 2933, 269, 3097, 9209, 26935, 1235, 616, 8036, 538, 1312, 3797, 543, 2757, 1148, 269, 1358, 666, 581, 13473, 538, 6530, 267, 1480, 1646, 267, 7499, 5389, 543, 519, 7067, 1761, 540, 1148, 269, 3509, 14317, 19190, 543, 9716, 18013, 723, 801, 3930, 6131, 547, 1148, 609, 7727, 2550, 949, 991, 563, 763, 15937, 5696, 2313, 853, 6593, 454, 2414, 9959, 267, 1148, 814, 1082, 2640, 585, 519, 2247, 267, 1560, 267, 14156, 543, 2618, 10999, 269, 898, 666, 4217, 609, 2634, 1599, 476, 2073, 1256, 585, 2550, 609, 5312, 543, 2634, 3676, 563, 9209, 666, 9350, 519, 2247, 543, 581, 1031, 607, 513, 1106, 540, 9066, 269, 5637, 2937, 7990, 532, 543, 2757, 3029, 540, 1148, 616, 25695, 585, 519, 2247, 543, 666, 3142, 1445, 563, 288, 2370, 3787, 540, 1148, 666, 979, 513, 1279, 1259, 269, 6787, 621, 779, 513, 1507, 546, 22259, 610, 7990, 532, 538, 513, 8260, 8403, 267, 513, 7206, 267, 9380, 532, 513, 544, 1872, 267, 610, 1565, 513, 5152, 563, 22517, 739, 707, 2247, 609, 606, 1148, 4161, 269, 589, 2635, 2247, 5012, 547, 513, 2635, 1560, 269, 0, 8310, 11016, 3781, 630, 18550, 476, 1704, 1070, 607, 1082, 941, 16287, 519, 11812, 540, 853, 269, 18536, 781, 4303, 676, 844, 523, 4221, 513, 5230, 19818, 693, 741, 14282, 14450, 8559, 267, 930, 6607, 1189, 3766, 5074, 4961, 538, 15762, 26963, 334, 267, 4993, 941, 2451, 2647, 31991, 693, 519, 3135, 540, 1166, 5446, 18162, 540, 1769, 16841, 563, 310, 5893, 525, 540, 519, 535, 30711, 7613, 267, 799, 16768, 827, 476, 2412, 7643, 267, 3576, 547, 1514, 2923, 609, 7044, 540, 519, 12357, 8289, 532, 267, 543, 621, 4769, 1405, 1491, 1279, 585, 519, 5769, 547, 1683, 519, 7138, 1194, 29123, 609, 930, 4267, 267, 2687, 547, 513, 595, 7034, 5240, 15762, 26963, 334, 1867, 563, 5475, 26164, 519, 2680, 267, 519, 8227, 540, 3751, 5556, 30179, 532, 7577, 11540, 513, 3381, 547, 519, 1786, 342, 335, 889, 781, 17749, 2272, 547, 5077, 519, 13999, 593, 1018, 621, 729, 789, 4718, 269, 13562, 9593, 543, 28936, 903, 545, 626, 693, 519, 12370, 1700, 29834, 26040, 4741, 585, 8330, 5268, 12695, 543, 20240, 4759, 540, 519, 20771, 7128, 22189, 22413, 578, 749, 568, 1634, 585, 6061, 891, 2010, 540, 20771, 679, 580, 5733, 267, 543, 729, 2111, 547, 3533, 19665, 519, 27521, 563, 1103, 513, 8142, 11540, 547, 12108, 267, 22413, 578, 749, 6920, 602, 11016, 781, 3595, 27750, 941, 519, 2067, 1439, 6361, 3734, 1267, 540, 2230, 11935, 8781, 909, 538, 3047, 781, 5790, 267, 16887, 267, 513, 5266, 1507, 10618, 10189, 2899, 7923, 547, 519, 4139, 6611, 13749, 630, 3041, 306, 1916, 17637, 730, 594, 5425, 7232, 293, 267, 519, 476, 6924, 274, 7273, 630, 20542, 4846, 264, 19622, 5057, 729, 3743, 585, 7175, 10618, 1063, 519, 32199, 781, 918, 756, 334, 9074, 543, 17030, 6513, 269, 594, 5425, 7232, 293, 9250, 538, 476, 1220, 280, 267, 543, 729, 795, 9116, 2581, 539, 689, 519, 32199, 883, 513, 9178, 532, 10739, 538, 476, 1708, 271, 563, 306, 697, 902, 971, 607, 713, 616, 2693, 547, 1831, 811, 1455, 269, 17497, 267, 8331, 543, 519, 4972, 540, 16470, 3950, 909, 547, 476, 2767, 267, 1822, 1634, 4773, 540, 2230, 11935, 267, 543, 3549, 899, 6611, 311, 616, 22745, 15408, 538, 519, 5215, 2443, 782, 2966, 609, 11626, 30477, 1674, 1739, 741, 10512, 28252, 269, 1656, 1247, 972, 568, 2370, 1981, 540, 1022, 540, 891, 3595, 27750, 540, 2230, 11935, 538, 519, 6607, 4742, 1835, 11596, 538, 519, 2666, 267, 972, 568, 2141, 513, 1981, 15054, 547, 15408, 543, 824, 6472, 538, 10739, 563, 2026, 5063, 607, 4728, 476, 277, 267, 519, 32199, 1185, 547, 14892, 513, 23603, 547, 2057, 513, 1761, 16580, 609, 835, 540, 513, 1297, 540, 15408, 4171, 9178, 532, 25057, 616, 4098, 547, 1958, 25209, 593, 519, 2230, 6728, 781, 8184, 2619, 563, 25387, 267, 972, 616, 1896, 6069, 2093, 538, 519, 2230, 2872, 593, 875, 547, 4308, 609, 2230, 11935, 543, 606, 5051, 22125, 1970, 3047, 10739, 267, 855, 9039, 723, 2943, 547, 581, 2322, 538, 3742, 5106, 563, 7476, 519, 6611, 2593, 5240, 12072, 454, 17954, 1136, 2230, 3377, 267, 519, 5767, 10311, 593, 15177, 31782, 267, 6607, 342, 10248, 2621, 543, 811, 2336, 297, 9655, 20550, 1676, 568, 6611, 2593, 781, 12474, 15440, 269, 1261, 568, 513, 5856, 543, 23031, 609, 513, 6612, 585, 2257, 543, 2230, 3408, 267, 543, 814, 1044, 2324, 519, 2230, 10726, 2094, 476, 1001, 277, 269, 21013, 814, 4988, 519, 4720, 540, 8331, 781, 5010, 2230, 325, 2775, 12352, 267, 689, 2038, 22900, 543, 7261, 3913, 639, 18535, 13485, 547, 519, 5571, 1646, 543, 31782, 540, 12284, 539, 13485, 689, 519, 6611, 11076, 267, 607, 1134, 607, 8331, 2257, 13485, 543, 811, 269, 1261, 849, 21593, 2679, 476, 272, 281, 13893, 4336, 3631, 540, 31244, 543, 1480, 1922, 31500, 14361, 269, 4855, 930, 540, 21013, 781, 10131, 10344, 593, 17749, 543, 1010, 3896, 267, 543, 1246, 1864, 593, 12108, 267, 1141, 646, 6140, 9708, 538, 688, 30884, 269, 0, 5649, 519, 5767, 5816, 13366, 689, 938, 4966, 538, 519, 2361, 563, 12663, 519, 7126, 540, 7186, 1265, 922, 1318, 995, 1747, 693, 519, 6167, 26085, 10985, 630, 4596, 303, 476, 1428, 25145, 16829, 593, 15773, 540, 281, 3220, 11835, 13860, 9540, 6229, 454, 8310, 8242, 281, 11728, 267, 476, 276, 5412, 476, 1708, 273, 454, 2252, 1022, 3486, 2825, 1876, 941, 547, 21028, 2470, 779, 2924, 15983, 621, 1131, 581, 519, 476, 1960, 273, 6167, 13482, 593, 18143, 16844, 630, 290, 9720, 21663, 634, 1101, 6662, 540, 519, 14055, 568, 519, 2048, 4621, 3569, 540, 6211, 4763, 685, 6340, 2047, 547, 519, 4027, 540, 2470, 269, 1733, 12241, 519, 17271, 1871, 540, 9265, 568, 1490, 19813, 2390, 538, 922, 840, 268, 600, 1076, 267, 12077, 602, 2470, 814, 1871, 543, 513, 1318, 547, 2291, 10446, 540, 3425, 267, 713, 568, 4166, 31083, 611, 15735, 676, 606, 5817, 2070, 540, 2470, 693, 519, 14055, 607, 606, 1843, 282, 513, 4199, 547, 581, 23699, 585, 3425, 267, 543, 23954, 6013, 606, 23835, 1670, 11064, 547, 8236, 519, 14055, 779, 20440, 540, 2048, 331, 1516, 538, 10103, 609, 2470, 17483, 763, 683, 565, 28515, 4493, 540, 2518, 9265, 1876, 454, 763, 14055, 28107, 922, 10236, 12510, 878, 543, 683, 565, 28515, 1871, 3490, 538, 3875, 2081, 281, 634, 4214, 540, 2048, 6798, 1670, 2200, 685, 609, 1761, 1871, 585, 8103, 267, 519, 946, 540, 2035, 971, 607, 5117, 2533, 267, 543, 2067, 3854, 267, 2470, 1759, 3435, 267, 543, 922, 2571, 1876, 543, 1875, 1790, 684, 1438, 1935, 547, 519, 5726, 540, 9265, 269, 634, 946, 540, 2571, 1876, 9072, 609, 1100, 12477, 6127, 610, 11413, 540, 1367, 2197, 3356, 630, 5408, 3220, 11835, 13860, 9540, 6229, 779, 1034, 2487, 9399, 14641, 8889, 16684, 267, 547, 581, 3370, 476, 278, 5412, 476, 1708, 273, 264, 2073, 5815, 519, 10862, 2016, 676, 2829, 547, 5726, 540, 9265, 267, 950, 3379, 547, 519, 1646, 540, 519, 2034, 543, 3791, 14055, 6859, 540, 2048, 338, 20980, 946, 685, 543, 2048, 325, 1515, 543, 12581, 4687, 540, 2640, 685, 799, 3717, 547, 4199, 14226, 543, 723, 8815, 16155, 11006, 10873, 609, 10220, 6127, 563, 2026, 728, 689, 519, 840, 268, 600, 1076, 267, 972, 568, 1100, 2262, 532, 799, 2369, 2478, 519, 17271, 2418, 540, 2470, 538, 519, 3853, 267, 9072, 543, 3664, 1500, 676, 519, 14055, 30505, 269, 1703, 568, 1100, 5639, 585, 2470, 538, 519, 1379, 17078, 523, 13618, 3375, 6194, 1184, 267, 543, 7087, 4658, 543, 10871, 18877, 267, 945, 16102, 476, 3199, 829, 1298, 540, 519, 1158, 779, 9265, 543, 616, 1883, 547, 3384, 2518, 24300, 540, 875, 519, 2518, 1480, 2551, 666, 5963, 2661, 538, 10103, 609, 2470, 267, 616, 711, 606, 4013, 851, 540, 13618, 3375, 1818, 269, 11086, 267, 519, 6384, 540, 30505, 543, 3375, 1818, 3895, 543, 16196, 683, 565, 28515, 2418, 540, 519, 1604, 267, 5275, 547, 2226, 2048, 321, 5350, 607, 8912, 685, 585, 4199, 14226, 25467, 713, 568, 4010, 1018, 814, 5949, 1107, 9039, 540, 519, 14055, 5726, 6859, 267, 9072, 610, 3853, 723, 1044, 1558, 543, 649, 723, 25295, 9265, 19236, 6302, 563, 763, 14055, 607, 621, 6763, 1281, 4986, 547, 4161, 27723, 21376, 2504, 543, 4616, 3270, 267, 4123, 610, 1646, 1107, 782, 9940, 10256, 540, 9265, 2530, 269, 3776, 2067, 1158, 568, 13113, 543, 621, 568, 2312, 602, 12624, 3047, 3112, 3514, 883, 683, 565, 28515, 3631, 1759, 593, 12808, 2208, 998, 4199, 14226, 269, 589, 9097, 556, 6253, 1074, 540, 519, 1871, 3490, 540, 519, 14055, 568, 2877, 543, 519, 7126, 540, 7186, 3091, 513, 1797, 547, 3035, 713, 609, 922, 4358, 1448, 2369, 2358, 602, 824, 2713, 7919, 543, 2470, 723, 513, 1318, 547, 2291, 267, 8853, 543, 11457, 267, 543, 649, 723, 9021, 2509, 873, 563, 305, 2074, 540, 7186, 538, 6469, 1876, 454, 4263, 519, 6469, 1377, 972, 814, 1044, 513, 9602, 4838, 799, 568, 3395, 2066, 519, 8608, 282, 3656, 6284, 540, 519, 7126, 540, 7186, 267, 543, 713, 1935, 568, 4358, 547, 1397, 2164, 269, 634, 6284, 602, 2470, 568, 513, 1641, 609, 3656, 2924, 267, 2864, 982, 606, 1843, 585, 14226, 12662, 2470, 693, 519, 2295, 540, 3375, 1818, 543, 2369, 2478, 519, 17271, 1871, 543, 938, 954, 4448, 1145, 609, 2470, 269, 634, 7126, 540, 7186, 723, 1044, 8045, 998, 1114, 4485, 282, 1369, 1526, 4801, 267, 29417, 267, 16324, 3664, 267, 676, 13166, 2369, 2358, 22232, 4031, 267, 3921, 514, 1734, 267, 6237, 543, 2199, 4031, 267, 543, 2571, 4485, 971, 607, 3616, 25730, 543, 3618, 1876, 21520, 563, 6097, 547, 9399, 14641, 3194, 29533, 543, 7905, 540, 11094, 17905, 631, 11986, 3212, 1188, 630, 18662, 540, 5020, 7070, 267, 2160, 540, 12246, 16303, 264, 2048, 763, 2518, 11944, 540, 2048, 305, 2074, 540, 7186, 685, 3091, 513, 3532, 7271, 547, 2149, 8134, 538, 3068, 540, 519, 12242, 16650, 16839, 540, 9265, 2530, 543, 2916, 1689, 269, 634, 6932, 1379, 540, 3656, 2962, 602, 12034, 7186, 607, 513, 1641, 896, 1876, 267, 6462, 676, 3621, 8733, 2963, 538, 4831, 532, 6937, 547, 519, 2067, 1604, 568, 2312, 267, 2523, 538, 5824, 3013, 1141, 9086, 5885, 2924, 540, 2470, 2291, 1369, 1526, 4801, 269, 589, 2518, 30675, 729, 1305, 538, 476, 1708, 272, 267, 950, 28130, 779, 25799, 7040, 1031, 2048, 305, 2074, 540, 7186, 685 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 341, 10884, 2168, 7592, 269, 29028, 543, 25655, 7907, 4438, 519, 10120, 2053, 31557, 941, 1634, 607, 21847, 610, 12325, 269, 1548, 616, 519, 2168, 4162, 540, 606, 6803, 2296, 269, 1809, 267, 607, 519, 25655, 6520, 2919, 267, 570, 10455, 781, 2956, 729, 17772, 2354, 539, 676, 18897, 543, 13095, 514, 269, 21419, 1756, 568, 711, 4299, 676, 3665, 2825, 5054, 609, 513, 1164, 3747, 585, 7344, 543, 2168, 4162, 267, 621, 1281, 711, 7985, 689, 14809, 610, 6336, 3601, 936, 942, 267, 621, 568, 835, 540, 519, 1034, 1031, 2326, 538, 519, 7098, 517, 27658, 543, 23825, 2872, 269, 634, 32090, 22226, 3004, 1080, 723, 1044, 896, 7634, 2094, 519, 3735, 476, 5197, 271, 779, 269, 18984, 643, 832, 2220, 600, 11849, 648, 543, 8678, 519, 2199, 6705, 282, 607, 513, 1267, 267, 7766, 4469, 3430, 1453, 941, 1025, 1180, 693, 4332, 855, 1185, 15191, 15918, 871, 4552, 676, 741, 7141, 3042, 1296, 32737, 1705, 594, 269, 898, 568, 519, 476, 279, 555, 8400, 540, 519, 476, 1911, 4303, 2782, 1874, 267, 4010, 693, 519, 476, 2004, 555, 1554, 269, 18897, 630, 24874, 25245, 3331, 508, 6759, 31014, 267, 6196, 2296, 17487, 494, 684, 528, 267, 6196, 4400, 4436, 5213, 541, 267, 1160, 1729, 8566, 9007, 545, 2608, 383, 508, 684, 23432, 267, 968, 1320, 8974, 14615, 568, 835, 540, 519, 1034, 7986, 5515, 538, 25245, 13299, 269, 1548, 616, 6093, 32090, 2934, 286, 634, 2168, 7592, 540, 519, 20918, 923, 941, 4330, 607, 1769, 4064, 267, 1769, 2960, 267, 7381, 588, 1155, 267, 543, 12373, 747, 334, 21306, 545, 15693, 282, 519, 5626, 7592, 607, 5168, 995, 267, 12581, 267, 8013, 267, 14255, 633, 267, 11603, 267, 543, 1367, 2065, 269, 9721, 1323, 6827, 787, 5080, 1440, 2478, 32672, 4705, 676, 1715, 5027, 10934, 269, 630, 2254, 823, 519, 8004, 593, 519, 2484, 2451, 781, 3068, 543, 519, 8004, 1985, 547, 1934, 267, 789, 616, 269, 769, 930, 540, 519, 2477, 789, 986, 3660, 543, 12306, 538, 267, 713, 1974, 269, 1452, 7592, 2285, 596, 513, 22429, 547, 1079, 1983, 543, 267, 952, 606, 2069, 1445, 568, 593, 835, 540, 1346, 1079, 1983, 267, 786, 1118, 873, 811, 269, 634, 2186, 519, 1131, 1205, 596, 7166, 676, 1483, 2367, 543, 4440, 513, 1028, 627, 25891, 538, 1034, 1164, 3506, 855, 2864, 3020, 21052, 269, 1358, 666, 581, 6591, 610, 4503, 1282, 2621, 543, 2069, 269, 3040, 10159, 18050, 519, 6077, 6114, 538, 9867, 4672, 5834, 267, 11098, 267, 1166, 4141, 2450, 267, 4222, 267, 543, 20847, 3432, 1299, 4287, 269, 1306, 13269, 538, 713, 5140, 1279, 8573, 7342, 1357, 13371, 267, 519, 6093, 9527, 324, 568, 2938, 607, 3638, 267, 818, 5766, 656, 267, 543, 10509, 1606, 822, 11803, 269, 634, 29735, 5198, 267, 799, 6227, 25227, 1004, 689, 16862, 267, 13785, 267, 543, 16157, 630, 600, 784, 824, 6753, 1070, 1419, 2501, 609, 12779, 2960, 267, 1769, 12258, 10696, 4064, 267, 543, 513, 7381, 588, 1155, 269, 19866, 25655, 4955, 5928, 24797, 621, 2066, 1896, 824, 4525, 540, 2342, 630, 324, 269, 594, 666, 1265, 1455, 2666, 1063, 519, 535, 1512, 6827, 14763, 267, 26003, 1944, 609, 873, 543, 2141, 2324, 4724, 4708, 269, 1809, 950, 3173, 4362, 1200, 3788, 538, 269, 12791, 596, 2097, 547, 606, 1620, 540, 875, 16970, 519, 1158, 568, 543, 3398, 713, 2943, 1869, 1847, 4464, 538, 2962, 269, 8834, 29778, 849, 7028, 713, 538, 1010, 1353, 11331, 3864, 4552, 543, 3750, 2681, 282, 4466, 602, 693, 2547, 476, 2568, 260, 540, 32090, 1004, 723, 513, 1769, 2212, 540, 4552, 267, 543, 693, 2547, 476, 2004, 260, 723, 1769, 4064, 269, 9861, 513, 968, 309, 10884, 892, 15538, 540, 1818, 513, 2713, 676, 986, 4575, 9678, 20708, 625, 267, 711, 1317, 540, 741, 269, 769, 519, 2038, 476, 5002, 271, 338, 267, 3173, 1101, 2968, 5461, 538, 519, 2168, 7592, 540, 19360, 545, 1004, 282, 2705, 267, 1152, 5063, 267, 609, 3059, 2029, 543, 11646, 11837, 267, 723, 3744, 1044, 2111, 547, 11694, 741, 1382, 269, 3245, 3345, 3013, 538, 519, 7178, 547, 6239, 5607, 538, 519, 7532, 267, 519, 25655, 6520, 568, 3989, 676, 32321, 27763, 3408, 602, 9327, 1405, 723, 1044, 2009, 1510, 971, 4359, 6928, 20761, 269, 1703, 616, 513, 2603, 540, 7592, 602, 666, 20726, 547, 1977, 4095, 22693, 269, 1341, 1015, 260, 13262, 13809, 6567, 273, 19731, 13734, 6567, 276, 5900, 3555, 32722, 6567, 1015, 11534, 5242, 3004, 527, 14956, 819, 1341, 1015, 23893, 3004, 527, 32722, 269, 2913, 781, 13185, 6168, 10434, 12085, 17555, 22312, 630, 275, 270, 276, 264, 1215, 547, 21118, 513, 25655, 8342, 1968, 281, 634, 8865, 585, 8738, 940, 2659, 3204, 28905, 11783, 5080, 19828, 1715, 5903, 540, 590, 1248, 1868, 31698, 952, 596, 5620, 513, 25655, 538, 269, 1358, 2951, 1472, 519, 27607, 7464, 916, 1519, 3047, 3842, 606, 22524, 7645, 683, 343, 639, 1634, 607, 519, 645, 604, 15543, 269, 7831, 10732, 649, 1185, 519, 865, 10777, 18378, 4303, 269, 2107, 2864, 267, 875, 2413, 812, 3085, 1405, 1256, 3100, 547, 9787, 519, 1523, 540, 8699, 267, 1247, 621, 729, 5990, 2582, 1034, 1271, 16023, 585, 1022, 25245, 2006, 269, 9861, 513, 25655, 7012, 1406, 20231, 1187, 543, 3756, 269, 1358, 616, 899, 4266, 27374, 543, 741, 2960, 568, 26070, 2668, 3962, 2909, 573, 4564, 1776, 1268, 602, 814, 4280, 1864, 1018, 519, 2909, 1749, 1611, 269, 25655, 1688, 6794, 568, 606, 3504, 2068, 799, 568, 5156, 547, 723, 1044, 12090, 609, 519, 31557, 538, 8832, 2342, 269, 634, 7729, 30416, 602, 519, 24085, 723, 1336, 267, 8761, 267, 602, 513, 812, 729, 1472, 476, 15094, 4699, 7381, 630, 276, 269, 25655, 6090, 538, 8832, 4789, 1788, 3487, 476, 272, 910, 654, 597, 1537, 543, 4639, 19903, 1662, 790, 630, 1220, 273, 268, 1220, 279, 264, 3487, 476, 273, 910, 3345, 19903, 1662, 790, 267, 595, 3518, 6319, 543, 715, 269, 634, 19916, 540, 930, 20258, 7592, 723, 1279, 6700, 602, 1352, 729, 513, 4807, 267, 855, 2094, 713, 18205, 814, 1044, 519, 1826, 19494, 585, 513, 25655, 24116, 585, 936, 513, 2540, 267, 621, 814, 2141, 1044, 10924, 269, 18780, 799, 2270, 513, 12162, 547, 2123, 4162, 267, 971, 607, 269, 1358, 616, 849, 1634, 607, 519, 589, 525, 597, 10971, 945, 723, 1044, 10847, 539, 676, 519, 3425, 540, 22778, 807, 267, 6628, 267, 543, 8832, 2342, 269, 25655, 17887, 24132, 538, 2450, 689, 1688, 17887, 630, 13678, 1791, 547, 9723, 1695, 1177, 802, 264, 547, 1279, 3620, 10762, 539, 6370, 17887, 269, 1717, 267, 513, 590, 1097, 628, 1014, 669, 773, 1111, 664, 729, 1336, 538, 27584, 4997, 945, 1185, 1044, 12617, 2235, 320, 476, 4335, 645, 269, 8111, 335, 10183, 616, 2706, 16058, 543, 16750, 5759, 267, 4162, 267, 543, 5924, 10305, 6964, 543, 8268, 538, 1082, 1568, 540, 5708, 543, 814, 1831, 513, 1455, 7708, 701, 1031, 538, 9423, 543, 585, 513, 2647, 2039, 540, 824, 5301, 269, 20070, 3753, 267, 4576, 543, 513, 27571, 476, 1708, 271, 5859, 1813, 547, 5046, 268, 866, 723, 782, 1249, 1819, 538, 269, 12379, 334, 21306, 545, 267, 9106, 2801, 268, 9647, 665, 3757, 545, 609, 7522, 518, 8188, 543, 811, 5180, 880, 2934, 982, 2558, 21417, 837, 267, 543, 811, 7347, 2934, 982, 8065, 560, 3430, 607, 1134, 607, 811, 7986, 32336, 1532, 2158, 269, 7454, 807, 262, 1773, 636, 1092, 3571, 2189, 1133, 28534, 5578, 568, 590, 27462, 335, 4875, 269, 13095, 514, 630, 29455, 968, 15121, 1673, 514, 31865, 6196, 25245, 3331, 497, 32244, 4883, 267, 6196, 2296, 543, 6196, 590, 19414, 654, 31829, 267, 6196, 4400, 4436, 18961, 582, 534, 267, 654, 582, 534, 267, 610, 654, 617, 534, 267, 1160, 1729, 8566, 9007, 545, 2608, 310, 334, 32244, 534, 1794, 267, 968, 22913, 540, 8278, 560, 6470, 14615, 568, 835, 540, 519, 1034, 1950, 543, 28430, 3197, 538, 25245, 13299, 267, 543, 5310, 538, 782, 540, 1158, 3332, 269, 634, 1883, 2168, 14487, 540, 25930, 584, 568, 602, 646, 608, 24231, 5898, 267, 543, 729, 7654, 519, 1034, 4190, 540, 519, 589, 525, 597, 10971, 269, 634, 986, 4575, 2516, 3100, 547, 723, 1185, 1547, 634, 5286, 322, 814, 1082, 6263, 21003, 657, 2066, 741, 3068, 4358, 689, 519, 7944, 540, 741, 5023, 547, 519, 6316, 540, 741, 3750, 269, 898, 8659, 7729, 30416, 540, 1079, 7606, 945, 1185, 1044, 1232, 777, 18469, 269, 898, 568, 3989, 676, 16910, 1633, 607, 2110, 2287, 267, 5394, 2287, 267, 543, 27470, 540, 519, 5493, 3405, 3673, 807, 6721, 513, 4827, 542, 22775, 640, 540, 513, 9416, 269, 1548, 616, 25655, 781, 11132, 2934, 27085, 1306, 519, 31557, 4163, 741, 9635, 936, 1633, 267, 4498, 12245, 543, 21009, 323, 534, 6146, 513, 7671, 880, 1920, 269, 476, 1001, 280, 268, 4962, 268, 6187, 476, 1708, 272, 268, 5400, 268, 2767, 676, 25014, 3821, 590, 269, 3487, 540, 519, 10539, 568, 602, 1010, 2168, 1373, 568, 2352, 547, 17970, 1524, 269, 1717, 267, 1498, 513, 2603, 540, 1344, 568, 23650, 776, 267, 621, 779, 1869, 22973, 543, 5363, 547, 1174, 519, 2528, 543, 519, 2021, 945, 5280, 1118, 621, 19416, 269, 476, 276, 543, 476, 2568, 2600, 540, 2413, 14470, 2367, 4865, 519, 962, 5937, 2793, 688, 680, 690, 4981, 681, 272, 320, 267, 799, 13315, 681, 272, 320, 272, 269, 31557, 476, 1708, 273, 631, 1442, 30633, 3004, 14982, 281, 19405, 476, 274, 269, 17006, 6424, 744, 20602, 334, 543, 918, 2967, 597, 4432, 600, 1131, 2285, 519, 31557, 513, 2462, 5818, 593, 519, 17872, 2427, 540, 519, 3440, 269, 12339, 2297, 1185, 6793, 10265, 6050, 538, 2489, 267, 1247, 2367, 1185, 1793, 20810, 8188, 269, 15349, 10579, 24430, 1678, 14659, 646, 1522, 581, 513, 25655, 13956, 656, 269, 11120, 6053, 267, 2782, 19144, 616, 1419, 27537, 676, 1970, 32071, 4900, 543, 606, 4082, 602, 3081, 267, 834, 10673, 1405, 535, 3089, 609, 803, 269, 4340, 547, 513, 1007, 1353, 593, 519, 5027, 540, 936, 476, 6110, 269, 556, 281, 8447, 7592, 540, 519, 22469, 1004, 269, 31557, 568, 606, 6909, 14070, 12416, 538, 922, 1378, 1318, 267, 855, 568, 849, 8185, 12082, 538, 3140, 1249, 267, 799, 649, 1589, 568, 835, 540, 519, 4128, 1946, 621, 779, 8810, 865, 2442, 543, 5170, 547, 581, 269, 769, 519, 25655, 6520, 267, 519, 11132, 2934, 540, 519, 2367, 543, 2021, 941, 811, 7567, 982, 789, 616, 2221, 269, 2060, 971, 513, 3309, 2551, 540, 1004, 689, 1114, 10080, 543, 4529, 267, 621, 666, 581, 2352, 547, 2697, 519, 6093, 9721, 3068, 269, 9717, 875, 31557, 616, 1419, 17814, 538, 2835, 543, 9413, 267, 621, 4440, 4465, 1405, 9983, 596, 547, 1451, 602, 519, 31557, 941, 3833, 513, 3787, 1114, 538, 1483, 1272, 269, 1358, 1860, 513, 3099, 540, 2127, 267, 3388, 689, 10305, 547, 1894, 269, 1717, 267, 1934, 519, 4605, 540, 519, 2462, 267, 2178, 25655, 535, 3547, 513, 2370, 269, 1677, 581, 538, 519, 4395, 4737, 950, 513, 8857, 568, 9575, 538, 513, 8828, 3864, 2168, 9784, 5963, 568, 513, 8289, 547, 1531, 1245, 269, 7046, 2247, 539, 267, 32127, 267, 2653, 547, 1921, 267, 1434, 3028, 267, 6093, 3864, 269, 634, 29980, 29980, 9954, 941, 513, 1360, 1455, 1106, 540, 17454, 29509, 9085, 269, 16164, 2681, 9867, 689, 4158, 547, 1769, 6960, 267, 543, 519, 6093, 25069, 322, 3068, 729, 3376, 609, 513, 269, 9521, 519, 17887, 2356, 13269, 538, 14810, 12383, 267, 25655, 17887, 941, 2582, 19229, 1540, 630, 1729, 1118, 873, 5488, 543, 811, 23603, 762, 1040, 634, 11263, 540, 513, 1268, 7092, 689, 25655, 1688, 2068, 11148, 547, 22775, 1813, 547, 19432, 540, 519, 5493, 3405, 3673, 807, 269, 8382, 630, 272, 540, 476, 275, 2567, 3733, 2626, 786, 711, 581, 1759, 593, 3621, 1239, 267, 855, 1175, 1759, 593, 1018, 594, 4076, 4767, 782, 1250, 1272, 607, 513, 21785, 269, 4746, 1634, 607, 667, 1575, 8500, 339, 1066, 781, 4579, 675, 267, 519, 25655, 1688, 2068, 4991, 922, 824, 2012, 689, 513, 15431, 4940, 2913, 781, 1491, 513, 1413, 693, 1346, 7592, 267, 519, 14868, 3297, 873, 267, 543, 1018, 2413, 2367, 666, 1451, 689, 519, 25655, 2353, 15289, 269, 1548, 1705, 519, 31557, 11555, 3201, 14877, 1413, 899, 286, 634, 13159, 700, 8780, 269, 634, 11475, 540, 19360, 545, 1004, 781, 2168, 7592, 723, 1831, 10169, 4583, 1472, 519, 1158, 269, 2107, 6151, 3791, 268, 709, 837, 18536, 13643, 4083, 630, 14706, 17872, 25135, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 258, 674, 12089, 4826, 1975, 2001, 24637, 6726, 725, 1280, 9605, 10466, 2986, 570, 3471, 1315, 26751, 17632, 692, 8170, 3735, 594, 723, 2919, 3833, 513, 3787, 540, 1719, 538, 670, 10345, 4702, 543, 4481, 1644, 547, 13809, 10644, 4027, 543, 594, 723, 1044, 2469, 998, 513, 2603, 540, 3332, 1644, 547, 13809, 10644, 543, 4481, 1644, 547, 3595, 4027, 780, 2691, 649, 2911, 540, 3595, 4027, 267, 930, 540, 519, 1034, 3102, 4808, 543, 4441, 2919, 585, 3595, 4027, 538, 519, 3114, 1184, 2872, 666, 581, 11911, 547, 519, 834, 13233, 9605, 10466, 5948, 257, 1732, 1634, 676, 922, 27099, 29458, 5183, 269, 4653, 781, 5816, 7127, 2306, 606, 3801, 547, 1683, 9273, 585, 6378, 1216, 10936, 585, 3595, 4027, 540, 13688, 543, 8043, 1759, 593, 741, 1808, 9511, 610, 3337, 543, 607, 829, 519, 4808, 3177, 538, 29458, 5183, 476, 1428, 910, 834, 24092, 585, 4826, 1975, 2001, 674, 12089, 7010, 585, 9605, 10466, 5016, 4131, 721, 2253, 609, 1018, 29458, 5183, 476, 1428, 814, 547, 2161, 585, 834, 309, 525, 17632, 5016, 4089, 476, 278, 269, 275, 269, 273, 269, 272, 281, 4826, 10936, 4927, 581, 4294, 547, 6077, 7252, 630, 10175, 1283, 543, 5377, 7252, 540, 7299, 8043, 264, 693, 513, 2121, 2557, 540, 711, 1447, 982, 476, 271, 269, 1839, 575, 10975, 1315, 10264, 273, 1496, 1015, 269, 273, 630, 299, 26553, 264, 1315, 332, 273, 316, 540, 6534, 2627, 780, 7212, 519, 1657, 3948, 1281, 946, 519, 16166, 6534, 2627, 267, 585, 519, 19160, 540, 12719, 519, 1374, 10936, 1216, 3747, 621, 568, 3339, 547, 2015, 519, 3003, 2627, 1858, 540, 519, 6077, 9991, 538, 513, 3595, 7997, 269, 769, 1249, 267, 519, 2698, 10936, 1216, 3747, 585, 835, 3595, 7997, 786, 581, 519, 2040, 540, 519, 10936, 1216, 10421, 585, 782, 519, 8043, 543, 3937, 538, 602, 3595, 7997, 269, 898, 568, 2705, 2009, 267, 602, 950, 12719, 8445, 3747, 585, 10936, 1216, 585, 519, 3003, 2030, 610, 1770, 782, 519, 3595, 10851, 949, 711, 581, 2808, 8195, 547, 2154, 10936, 1216, 269, 901, 568, 1586, 1759, 593, 519, 3609, 540, 519, 2754, 585, 3595, 4027, 543, 666, 4268, 689, 1747, 547, 1747, 269, 901, 949, 849, 581, 9598, 730, 676, 519, 27152, 1270, 597, 906, 10858, 585, 3595, 4027, 693, 519, 4087, 540, 519, 2030, 610, 1770, 780, 4131, 721, 979, 547, 519, 9819, 851, 585, 10936, 1216, 585, 13688, 1315, 8043, 1759, 593, 519, 9511, 540, 519, 6077, 780, 306, 16577, 9351, 6726, 725, 585, 570, 3471, 1315, 26751, 17632, 1384, 290, 2643, 785, 3740, 609, 598, 673, 8122, 543, 6366, 5377, 1384, 6347, 322, 821, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 11027, 16732, 291, 270, 273, 12684, 306, 2020, 290, 2643, 785, 3740, 609, 476, 273, 281, 272, 11875, 760, 810, 10537, 667, 1639, 661, 2738, 1384, 6347, 273, 281, 272, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 273, 265, 272, 269, 5400, 275, 265, 291, 273, 2020, 6347, 293, 22936, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 273, 265, 271, 269, 280, 2764, 277, 265, 291, 273, 2020, 8967, 1877, 1384, 306, 2026, 335, 1877, 815, 12631, 265, 291, 273, 692, 3602, 1384, 291, 815, 18924, 2678, 540, 519, 6077, 630, 1097, 331, 5407, 267, 12106, 1070, 10264, 630, 332, 994, 299, 815, 20099, 540, 519, 12718, 630, 11927, 3562, 2389, 534, 1070, 10264, 630, 332, 994, 306, 815, 6215, 656, 4463, 540, 13409, 267, 10264, 630, 332, 2020, 5629, 519, 2627, 1858, 540, 519, 6077, 568, 7229, 267, 9062, 621, 609, 476, 271, 269, 1839, 575, 10975, 952, 596, 616, 12719, 707, 10936, 1216, 3747, 829, 4009, 3952, 630, 4785, 290, 4559, 264, 610, 609, 476, 1015, 269, 273, 700, 26553, 952, 12719, 538, 4009, 7397, 630, 300, 13011, 4559, 6393, 5278, 3549, 2154, 547, 1039, 513, 14345, 593, 519, 7229, 2095, 1813, 547, 17453, 20817, 538, 519, 10936, 1216, 3060, 543, 519, 13546, 977, 4369, 540, 2196, 16365, 1216, 593, 10936, 539, 7252, 269, 15380, 519, 14345, 1031, 568, 476, 1015, 260, 936, 519, 7229, 2095, 780, 2690, 824, 3937, 971, 607, 15450, 543, 14771, 832, 29458, 5183, 476, 1428, 15565, 513, 1114, 10936, 1216, 2557, 543, 2829, 602, 1384, 278, 269, 274, 269, 273, 623, 7927, 267, 3281, 816, 832, 267, 543, 13565, 16811, 281, 623, 7927, 610, 824, 3457, 602, 6023, 1166, 30100, 15559, 610, 9362, 4927, 723, 519, 14788, 338, 267, 20910, 267, 543, 522, 1492, 2565, 2694, 17158, 539, 676, 9859, 1216, 10936, 693, 513, 2121, 2557, 540, 711, 1447, 982, 476, 271, 269, 2004, 575, 10975, 1315, 10264, 273, 1496, 736, 269, 275, 630, 299, 26553, 264, 1315, 544, 273, 316, 540, 15810, 2627, 1858, 540, 519, 3937, 780, 763, 2352, 851, 585, 15450, 543, 14771, 832, 568, 547, 7447, 519, 2627, 1858, 7429, 13688, 1315, 8043, 4171, 2627, 2127, 723, 1044, 7229, 607, 5018, 1657, 269, 594, 1131, 7662, 513, 13809, 10644, 11285, 547, 1683, 930, 5813, 538, 12719, 2627, 2127, 585, 891, 3937, 780, 2690, 519, 8043, 1315, 13688, 851, 267, 594, 723, 2907, 5423, 606, 14133, 23519, 1141, 596, 666, 2824, 519, 6077, 9511, 689, 513, 6749, 16365, 1592, 543, 621, 786, 8850, 5173, 519, 2627, 1858, 585, 519, 5697, 6077, 9511, 543, 3976, 519, 10936, 1216, 10421, 780, 28775, 782, 540, 596, 2972, 713, 5816, 7127, 543, 594, 1413, 4464, 547, 596, 8292, 543, 7422, 780, 8802, 1841, 2676, 2304, 330, 584, 780, 9917, 27323, 454, 2750, 3250, 550, 256, 2336, 1678, 584, 18684, 272, 692, 2750, 3250, 550, 256, 2439, 12552, 780, 2419, 292, 781, 899, 596, 616, 606, 19015, 547, 1732, 8885, 780, 8802, 1841, 2676, 2304, 330, 584, 454, 304, 531, 6387, 630, 290, 1335, 994, 296, 899, 621, 31351, 2336, 300, 663, 752, 454, 296, 1224, 998, 707, 18248, 543, 922, 3833, 4277, 269, 6153, 960, 594, 1590, 1533, 780, 2690, 6802, 543, 26468, 267, 1018, 649, 798, 568, 547, 946, 519, 11640, 1858, 547, 3313, 519, 1216, 3747, 780, 8802, 1841, 563, 289, 18115, 5050, 5816, 454, 17771, 1091, 332, 454, 26594, 543, 13801, 6881, 269, 6153, 960, 267, 1323, 330, 584, 563, 7825, 836, 531, 541, 600, 454, 32091, 1323, 330, 584, 2676, 6624, 7064, 585, 707, 24084, 618, 593, 3595, 1216, 10936, 9273, 563, 9827, 267, 666, 596, 1592, 519, 2188, 547, 581, 2808, 585, 3595, 6169, 532, 540, 519, 16491, 906, 543, 3889, 9991, 538, 519, 23292, 7997, 780, 8802, 1841, 2676, 339, 1695, 597, 571, 5633, 24241, 454, 2171, 2141, 2503, 513, 1390, 543, 8076, 960, 689, 707, 2427, 563, 14187, 16763, 454, 531, 345, 7795, 323, 454, 16591, 960, 454, 992, 531, 454, 628, 3471, 585, 519, 3730, 9623, 269, 1018, 1131, 581, 519, 9819, 585, 519, 10398, 532, 538, 513, 23028, 6728, 286, 519, 1482, 2627, 1858, 9756, 888, 1678, 584, 18684, 272, 454, 992, 531, 10484, 22143, 5183, 476, 1428, 11225, 519, 838, 787, 1216, 10421, 585, 11506, 10612, 986, 4242, 8876, 2789, 12992, 543, 11225, 621, 538, 2474, 540, 678, 531, 1188, 2157, 609, 513, 2582, 24646, 2673, 547, 3446, 8506, 513, 10936, 1216, 10421, 540, 476, 271, 269, 1839, 575, 10975, 1315, 10264, 273, 630, 1015, 269, 273, 630, 299, 26553, 264, 1315, 544, 273, 2020, 8802, 1841, 2676, 2304, 330, 584, 563, 17751, 21815, 296, 667, 11190, 29052, 454, 32271, 7495, 20796, 298, 454, 306, 2752, 2969, 14176, 10422, 14389, 454, 32091, 1323, 330, 584, 2676, 11039, 6045, 1547, 8729, 585, 4687, 692, 306, 541, 4331, 454, 9254, 16037, 9254, 16037, 454, 25802, 1434, 2816, 1323, 330, 584, 454, 332, 1731, 836, 332, 343, 692, 7883, 690, 960, 267, 555, 752, 596, 692, 326, 644, 2816, 692, 328, 723, 835, 2243, 585, 5542, 10936, 30979, 2073, 6343, 568, 519, 6871, 540, 1858, 3795, 1018, 1590, 581, 10936, 539, 267, 568, 972, 1022, 19231, 29845, 538, 519, 562, 325, 11985, 476, 1428, 476, 278, 269, 275, 269, 273, 269, 274, 1109, 3333, 3298, 1152, 476, 277, 10264, 476, 278, 10264, 19437, 1063, 10936, 1100, 26072, 267, 543, 21645, 5815, 30212, 3845, 689, 30979, 547, 8880, 6077, 269, 1934, 538, 1250, 2197, 8128, 723, 519, 2856, 568, 2838, 476, 1911, 260, 3795, 855, 568, 621, 2556, 713, 29845, 568, 22490, 538, 519, 562, 325, 11985, 476, 1428, 2496, 331, 20799, 745, 325, 334, 692, 338, 4157, 9017, 9262, 692, 32091, 1323, 330, 584, 10484, 6624, 1082, 7064, 780, 7093, 332, 303, 692, 11039, 6045, 27205, 269, 2561, 3285, 622, 621, 2439, 2162, 26257, 6250, 6002, 692, 1892, 6931, 327, 16818, 5197, 6795, 279, 454, 9213, 267, 476, 1321, 281, 2764, 7537, 454, 1892, 678, 577, 454, 312, 16518, 267, 476, 6349, 281, 5392, 6751, 454, 312, 16518, 267, 476, 1556, 281, 6078, 7537, 454, 1892, 16384, 528, 300, 1690, 454, 312, 16518, 267, 476, 6021, 281, 5881, 7537, 454, 1892, 546, 332, 9188, 2967, 3707, 276, 454, 312, 16518, 267, 476, 5881, 281, 6187, 7537, 454, 1892, 1325, 668, 534, 454, 312, 16518, 267, 476, 1321, 281, 7918, 7537, 454, 1892, 700, 583, 25206, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1240, 281, 1240, 454, 1892, 1325, 327, 1794, 332, 12685, 272, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1428, 281, 1704, 454, 1892, 18409, 326, 710, 518, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1724, 281, 6321, 0, 9563, 9563, 9563, 10574, 26831, 570, 4459, 344, 19877, 5999, 454, 7462, 589, 5721, 476, 6344, 7397, 1279, 568, 4881, 609, 513, 3432, 540, 476, 2568, 5998, 10774, 337, 269, 769, 1018, 942, 786, 621, 1780, 513, 7911, 945, 568, 4881, 693, 476, 277, 5998, 10774, 337, 538, 519, 4287, 6587, 547, 602, 538, 799, 519, 5721, 568, 2469, 888, 11854, 539, 540, 5721, 3448, 547, 7911, 284, 25464, 2568, 1341, 476, 277, 23375, 5998, 10774, 337, 815, 476, 5780, 5998, 10774, 337, 815, 1496, 5780, 1535, 343, 476, 276, 270, 1240, 316, 319, 544, 270, 5913, 815, 2387, 314, 4649, 270, 274, 316, 319, 544, 270, 5913, 563, 11742, 3144, 547, 1780, 519, 7911, 284, 319, 1496, 6344, 1535, 343, 476, 274, 270, 4649, 316, 319, 3813, 815, 476, 277, 269, 7918, 7643, 454, 7462, 1548, 568, 519, 1871, 540, 524, 2073, 1403, 476, 279, 568, 476, 275, 260, 540, 513, 267, 543, 476, 275, 568, 476, 279, 260, 540, 536, 269, 524, 11224, 536, 21669, 888, 4131, 581, 519, 476, 275, 260, 540, 513, 568, 476, 275, 320, 270, 1911, 269, 4595, 713, 11224, 476, 279, 267, 649, 723, 476, 275, 320, 270, 1911, 284, 279, 269, 14572, 585, 513, 11729, 513, 284, 279, 9943, 319, 263, 1911, 270, 275, 23375, 284, 1220, 269, 4746, 267, 476, 279, 260, 540, 536, 11224, 476, 279, 321, 270, 1911, 267, 543, 713, 11224, 476, 275, 563, 17798, 267, 649, 723, 25464, 279, 270, 1911, 23375, 9943, 321, 284, 275, 269, 14572, 585, 536, 11729, 1109, 536, 815, 476, 2004, 269, 3767, 267, 524, 284, 319, 321, 21669, 319, 284, 319, 2004, 270, 1220, 319, 284, 319, 272, 270, 275, 269, 319, 454, 7462, 623, 543, 1627, 1491, 851, 538, 476, 1911, 544, 5198, 269, 623, 8255, 693, 476, 277, 14790, 874, 269, 623, 3947, 1627, 513, 1376, 540, 476, 279, 544, 543, 1869, 20054, 1864, 676, 476, 279, 7643, 269, 634, 3432, 540, 1627, 568, 912, 319, 14588, 539, 815, 263, 476, 277, 1262, 276, 270, 1240, 264, 332, 270, 5913, 264, 815, 630, 1789, 270, 1240, 264, 544, 270, 5913, 319, 454, 11742, 3144, 676, 623, 547, 3382, 476, 1911, 544, 815, 25464, 1911, 2878, 476, 1240, 270, 1789, 23375, 332, 270, 5913, 815, 2568, 3813, 454, 11742, 3144, 676, 1627, 547, 3382, 476, 10844, 544, 815, 630, 2568, 1341, 476, 279, 264, 815, 476, 6924, 3813, 563, 304, 781, 3432, 815, 319, 2891, 291, 2700, 257, 270, 257, 11742, 257, 1262, 1240, 270, 276, 264, 5998, 874, 815, 263, 10844, 270, 6924, 2878, 476, 1240, 270, 276, 23375, 5998, 874, 815, 476, 275, 269, 10436, 14790, 874, 563, 7462, 4855, 519, 3432, 540, 519, 5721, 267, 952, 513, 5721, 476, 16318, 544, 1279, 10596, 513, 15393, 538, 476, 277, 7643, 563, 11854, 539, 815, 2387, 314, 16318, 270, 277, 316, 319, 544, 270, 5913, 815, 2387, 314, 2537, 269, 277, 2878, 476, 1240, 270, 276, 316, 319, 5998, 10774, 337, 815, 476, 10019, 269, 280, 5998, 10774, 337 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 2132, 547, 1153, 267, 2523, 1282, 513, 6855, 267, 5963, 568, 513, 5912, 1107, 621, 4465, 1406, 581, 899, 1166, 6235, 513, 6467, 563, 5278, 2395, 949, 581, 4443, 982, 1866, 267, 543, 930, 1453, 949, 6023, 519, 2242, 1732, 982, 1866, 563, 2026, 3237, 267, 519, 1655, 3364, 596, 666, 798, 568, 1489, 543, 5000, 707, 1453, 998, 519, 22705, 543, 17498, 267, 4180, 602, 789, 2461, 2111, 547, 1445, 593, 1565, 543, 593, 602, 14724, 540, 3675, 903, 1107, 1175, 1373, 513, 4819, 256, 0, 2467, 616, 2185, 1007, 3211, 547, 948, 596, 581, 811, 9488, 538, 7114, 6970, 10650, 11790, 1247, 849, 9494, 942, 269, 1215, 666, 1004, 2907, 8036, 547, 946, 24135, 305, 5622, 307, 10378, 1451, 547, 946, 891, 3211, 286, 1635, 10283, 538, 513, 476, 3445, 18826, 1357, 14373, 602, 6941, 519, 3211, 543, 3947, 596, 2259, 1210, 873, 547, 2697, 6970, 10650, 11790, 563, 1607, 1357, 14373, 568, 11461, 676, 513, 700, 25893, 14357, 1210, 3619, 2414, 9288, 7566, 269, 2353, 29934, 4315, 631, 19851, 723, 1991, 24135, 305, 5622, 307, 10378, 2866, 547, 7390, 713, 1576, 563, 763, 2185, 3211, 616, 585, 1114, 5686, 540, 13753, 912, 1607, 1357, 14373, 786, 1397, 596, 875, 547, 946, 891, 3211, 547, 811, 4625, 543, 3927, 5581, 6970, 10650, 11790, 538, 1447, 942, 563, 1607, 1357, 14373, 786, 3382, 912, 763, 9115, 540, 519, 2185, 3211, 454, 1692, 547, 946, 513, 4976, 547, 2697, 6970, 10650, 11790, 454, 310, 1779, 10843, 606, 1383, 1210, 513, 4976, 454, 310, 1779, 10843, 606, 1383, 1210, 519, 4976, 1628, 883, 519, 24135, 305, 5622, 307, 10378, 2485, 362, 12229, 454, 17809, 728, 606, 1383, 585, 596, 547, 6218, 1210, 513, 4976, 454, 24718, 707, 2164, 547, 606, 2626, 1883, 454, 4263, 519, 1439, 540, 713, 1357, 14373, 267, 5171, 786, 723, 4121, 912, 1692, 547, 946, 513, 6970, 10650, 16748, 8018, 454, 1692, 519, 4976, 2337, 873, 1020, 513, 811, 2347, 1592, 540, 6970, 10650, 11790, 630, 1652, 6970, 10650, 11790, 15763, 994, 763, 3211, 1118, 621, 4443, 585, 1007, 24135, 305, 5622, 307, 10378, 20305, 547, 1265, 3597, 3123, 543, 1685, 513, 1732, 7634, 269, 1809, 519, 6970, 10650, 16748, 6096, 849, 948, 4810, 3755, 1118, 2386, 789, 723, 4857, 782, 519, 6970, 10650, 11790, 543, 7551, 723, 513, 811, 2347, 3597, 2014, 2079, 563, 20755, 6226, 7714, 568, 513, 24135, 305, 5622, 307, 10378, 21864, 20180, 528, 543, 26189, 528, 543, 814, 476, 2190, 1296, 540, 1995, 538, 8298, 2524, 267, 18815, 267, 543, 23120, 26094, 7341, 269, 7033, 814, 513, 22601, 538, 13188, 543, 5004, 689, 519, 2160, 540, 17906, 563, 20694, 21537, 625, 568, 513, 24135, 305, 5622, 307, 10378, 21864, 20180, 528, 543, 26189, 528, 543, 814, 5722, 1296, 540, 5663, 2359, 543, 10709, 6388, 5718, 543, 729, 606, 4835, 18869, 476, 12010, 272, 10748, 3218, 269, 1261, 814, 513, 29172, 538, 7698, 3163, 543, 7177, 609, 513, 5634, 538, 6355, 10029, 689, 519, 2160, 540, 17906, 269, 0, 17484, 2438, 547, 8419, 454, 1320, 805, 2989, 8419, 2249, 454, 308, 2529, 269, 21784, 2989, 2249, 454, 763, 8419, 28103, 18191, 599, 568, 519, 1152, 2249, 540, 6177, 11658, 7357, 547, 8419, 269, 898, 568, 8200, 593, 28103, 7226, 609, 1880, 4162, 8200, 593, 13350, 23967, 269, 8838, 2711, 7226, 5161, 540, 5493, 5471, 1729, 28103, 609, 16559, 522, 6545, 689, 835, 547, 1614, 7397, 1164, 543, 930, 21048, 1326, 894, 267, 22501, 23761, 269, 1358, 666, 849, 2661, 538, 28103, 2421, 6366, 6229, 338, 952, 519, 12566, 24588, 568, 1930, 269, 7442, 3559, 665, 5448, 1071, 518, 2737, 322, 839, 568, 2808, 6650, 6150, 1813, 547, 30481, 647, 16054, 3850, 7050, 2030, 2208, 538, 1018, 729, 6923, 28103, 543, 2530, 540, 7226, 689, 1646, 563, 4322, 616, 1804, 5152, 18346, 267, 609, 513, 4544, 2212, 267, 12209, 543, 2766, 267, 513, 3043, 11563, 543, 513, 4544, 1412, 928, 1188, 331, 864, 8339, 634, 1394, 543, 17987, 616, 12779, 12457, 269, 4236, 32596, 723, 513, 20585, 6960, 2212, 543, 6960, 1394, 267, 6382, 899, 4079, 563, 25721, 3559, 665, 5448, 1071, 518, 2737, 322, 839, 568, 513, 4759, 540, 519, 4856, 341, 13160, 910, 808, 904, 267, 595, 4900, 1299, 741, 16167, 1920, 563, 2690, 811, 1344, 593, 713, 2249, 267, 3643, 519, 1739, 3095, 912, 306, 3058, 519, 8419, 2480, 13041, 20289, 693, 12397, 601, 6997, 540, 2107, 333, 603, 1108, 3896, 454, 14630, 2594, 2063, 9168, 281, 5463, 476, 6021, 267, 476, 1708, 271, 0, 19185, 693, 8942, 540, 519, 8168, 5742, 538, 519, 4571, 268, 736, 628, 2540, 547, 3888, 2242, 538, 922, 6694, 1062, 14550, 27753, 602, 11478, 693, 602, 942, 1063, 4566, 543, 4641, 269, 4014, 621, 568, 7074, 1934, 602, 713, 1847, 8959, 267, 621, 568, 2312, 602, 8168, 24990, 1705, 711, 20053, 547, 6427, 513, 3542, 5024, 267, 3653, 995, 267, 543, 31877, 6694, 1062, 269, 898, 568, 2312, 602, 519, 8168, 2229, 5156, 602, 676, 2413, 1944, 519, 6694, 1062, 267, 519, 2197, 1131, 2744, 538, 2474, 540, 7607, 269, 634, 4367, 12116, 519, 24984, 543, 14286, 540, 519, 8168, 5742, 538, 922, 7287, 547, 10575, 3424, 519, 2197, 781, 6694, 5823, 269, 898, 24259, 1769, 593, 519, 2188, 602, 8032, 519, 4182, 267, 3226, 875, 10617, 4299, 519, 2197, 543, 875, 519, 1184, 540, 2445, 643, 1436, 729, 15748, 563, 312, 1446, 18623, 1222, 6732, 3340, 513, 20478, 610, 6718, 547, 1569, 519, 2407, 1257, 540, 2835, 1369, 519, 3028, 269, 5398, 3755, 666, 2705, 11884, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 563, 2252, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 3346, 707, 7172, 4115, 563, 2414, 23676, 2393, 267, 5225, 2638, 938, 14174, 17988, 2073, 543, 952, 596, 666, 1405, 1265, 519, 2626, 972, 267, 5225, 3346, 721, 269, 0, 19613, 543, 8901, 4162, 540, 4683, 4525, 723, 2673, 3347, 609, 7823, 2520, 14521, 1108, 269, 4746, 267, 4683, 4525, 543, 10239, 616, 15025, 609, 1142, 824, 609, 12105, 2242, 269, 12124, 4087, 543, 4835, 3889, 941, 4646, 543, 4957, 689, 519, 2360, 540, 7823, 2520, 14521, 1108, 269, 1717, 267, 711, 5976, 9227, 519, 2956, 540, 519, 3347, 1063, 4683, 4525, 543, 10239, 267, 972, 941, 1906, 11050, 1382, 593, 621, 269, 1280, 713, 2601, 267, 519, 3483, 540, 713, 1957, 568, 547, 2689, 519, 4162, 540, 8901, 2078, 1063, 4683, 4525, 543, 7823, 2520, 14521, 1108, 27985, 267, 543, 1287, 568, 547, 2263, 519, 2078, 10686, 1227, 269, 1280, 713, 267, 519, 3854, 4872, 538, 519, 1158, 941, 9916, 609, 4683, 2450, 267, 15820, 267, 543, 14282, 7023, 3845, 269, 769, 1840, 267, 519, 8901, 4162, 540, 4872, 538, 3567, 267, 3624, 267, 2136, 2276, 941, 8268, 609, 4683, 2450, 267, 15820, 267, 13506, 267, 543, 2244, 2224, 269, 769, 519, 2013, 540, 3854, 4872, 267, 519, 9756, 1063, 4683, 2450, 543, 15820, 729, 1336, 269, 769, 1840, 267, 649, 1336, 519, 4683, 15820, 267, 2551, 543, 14282, 7023, 3845, 14356, 17047, 538, 519, 2013, 540, 4872, 538, 3567, 267, 3624, 267, 543, 519, 2136, 2276, 267, 543, 519, 4683, 2244, 2224, 3270, 1644, 547, 15820, 543, 13506, 538, 519, 2013, 540, 19864, 267, 19109, 9369, 267, 543, 17865, 8235, 4975, 269, 0, 20329, 22181, 1489, 568, 606, 2949, 5872, 1063, 519, 2247, 543, 519, 1604, 269, 11048, 267, 519, 585, 4707, 1202, 4026, 1890, 538, 27040, 13280, 814, 3366, 547, 9552, 540, 2729, 543, 3601, 17021, 519, 11317, 15602, 269, 4107, 540, 519, 4299, 17069, 864, 568, 9363, 538, 594, 7894, 6682, 1186, 538, 1114, 11280, 2127, 2066, 18004, 334, 267, 14088, 11867, 543, 962, 12786, 630, 10621, 312, 264, 2829, 1247, 930, 25176, 2066, 13280, 8473, 543, 616, 9363, 538, 21345, 13122, 538, 824, 2477, 2282, 13280, 269, 769, 6595, 5468, 267, 519, 2557, 540, 1455, 2790, 4713, 666, 5595, 269, 13834, 1759, 5208, 267, 705, 2265, 687, 267, 543, 14407, 32012, 885, 666, 9594, 5626, 2042, 799, 1491, 1296, 547, 12115, 563, 6097, 547, 715, 4932, 288, 543, 594, 6865, 1239, 2079, 540, 5130, 476, 1708, 271, 267, 519, 10230, 5515, 540, 18378, 2598, 31419, 4658, 630, 2839, 303, 264, 2551, 568, 476, 273, 267, 271, 3374, 267, 22446, 269, 901, 4137, 814, 16934, 519, 1297, 540, 2950, 945, 5063, 19679, 689, 741, 5321, 607, 519, 4323, 814, 4797, 7551, 2810, 519, 840, 25365, 21345, 2551, 2066, 519, 22583, 269, 634, 7887, 9601, 540, 713, 30299, 3510, 616, 1453, 7247, 1034, 540, 873, 616, 8572, 547, 948, 2933, 1282, 519, 726, 697, 269, 634, 2551, 540, 519, 1034, 4299, 971, 607, 1004, 540, 18004, 334, 1533, 814, 4797, 547, 1995, 10770, 5208, 4323, 269, 634, 1004, 723, 1044, 16271, 547, 3978, 1480, 2924, 19374, 676, 519, 6348, 3557, 20331, 6828, 630, 301, 6347, 294, 15426, 634, 5571, 22705, 25973, 814, 3366, 547, 1114, 1480, 1318, 19374, 543, 32012, 885, 538, 519, 3148, 971, 607, 705, 2265, 687, 267, 4638, 6057, 267, 7142, 7365, 267, 581, 3650, 532, 540, 835, 779, 2385, 267, 26164, 18205, 5208, 547, 824, 1920, 2818, 267, 543, 1453, 7142, 883, 11439, 1895, 563, 763, 1453, 19774, 616, 4731, 333, 712, 1639, 267, 7985, 1463, 5945, 267, 543, 1995, 13350, 18205, 19374, 971, 607, 11318, 543, 544, 2727, 532, 267, 4323, 593, 3506, 543, 10506, 267, 705, 9134, 543, 7142, 19684, 883, 11439, 2516, 269, 1452, 723, 1500, 519, 1453, 547, 2661, 538, 4250, 540, 519, 7164, 1813, 547, 519, 4598, 547, 5208, 269, 634, 3003, 3510, 666, 1291, 547, 8401, 15059, 269, 1452, 616, 6353, 609, 4835, 1436, 540, 5208, 267, 14266, 540, 9490, 2623, 267, 1003, 6883, 267, 4250, 267, 543, 21084, 267, 5812, 18596, 540, 8755, 10587, 267, 15280, 1145, 543, 824, 5626, 1072, 2042, 799, 949, 1764, 519, 1072, 540, 519, 1453, 538, 519, 1279, 1107, 2196, 269, 634, 6689, 1198, 540, 1373, 513, 1463, 6408, 540, 22681, 6285, 1223, 581, 14042, 543, 1279, 9434, 609, 8628, 5626, 1966, 17364, 689, 4332, 547, 18273, 543, 547, 519, 15296, 891, 1463, 4598, 540, 1453, 547, 5208, 791, 4202, 741, 5626, 8171, 14156, 543, 5042, 569, 563, 2005, 568, 22317, 547, 917, 602, 519, 5821, 547, 1683, 2500, 5626, 1489, 547, 1453, 6534, 547, 519, 1202, 4026, 1890, 1439, 13377, 741, 2790, 1072, 543, 6971, 519, 3255, 540, 891, 1453, 547, 2661, 513, 11327, 1272, 269, 5753, 4299, 676, 18483, 7985, 4057, 21939, 543, 21260, 1153, 610, 4081, 2773, 269, 9747, 267, 4598, 547, 18483, 3123, 4057, 5834, 2042, 543, 1970, 5042, 4390, 538, 1453, 269, 1520, 14287, 267, 952, 621, 568, 711, 17411, 5265, 267, 621, 949, 1291, 547, 8628, 2790, 1072, 10108, 563, 1103, 2656, 3210, 547, 11574, 519, 1657, 5626, 2042, 267, 8863, 4696, 22851, 519, 1453, 538, 1585, 1272, 1983, 543, 6043, 3292, 547, 2232, 519, 8650, 4250, 267, 1253, 6412, 543, 824, 2790, 1072, 2591, 4611, 689, 519, 16839, 269, 3776, 26447, 1489, 630, 31723, 264, 2238, 616, 1134, 11295, 543, 1134, 2966, 547, 1683, 6043, 543, 6051, 607, 1134, 547, 2232, 519, 26447, 2360, 540, 18483, 593, 30645, 1453, 543, 1866, 945, 6148, 538, 991, 540, 8863, 4696, 779, 5369, 22181, 8081, 2533, 563, 2171, 4497, 1453, 538, 1272, 1983, 2238, 269, 5020, 1983, 616, 5615, 602, 5512, 2043, 547, 9772, 543, 4308, 3927, 609, 519, 7569, 543, 2591, 540, 1272, 269, 8863, 4696, 779, 3358, 519, 3268, 1305, 909, 676, 519, 14959, 547, 2932, 741, 1272, 1983, 563, 268, 11879, 3206, 454, 268, 11300, 3206, 454, 268, 17423, 1818, 454, 268, 9046, 14572, 454, 268, 13229, 2792, 454, 268, 3955, 26051, 2078, 454, 268, 10515, 532, 609, 2566, 454, 268, 10515, 532, 609, 4664 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 328, 568, 5969, 856, 286, 476, 273, 264, 1432, 568, 519, 6574, 2009, 1297, 540, 454, 4375, 269, 4569, 692, 2252, 22123, 4025, 513, 15177, 602, 568, 476, 274, 3952, 476, 277, 6279, 7381, 29691, 513, 10131, 14950, 602, 568, 476, 272, 3723, 476, 279, 6279, 7381, 267, 875, 7381, 786, 519, 3003, 1770, 267, 15177, 543, 10131, 14950, 267, 581, 950, 1352, 568, 2944, 286, 589, 269, 276, 3952, 476, 275, 6279, 645, 269, 276, 3952, 476, 273, 6279, 595, 269, 272, 3723, 476, 279, 6279, 667, 269, 275, 3952, 476, 273, 6279, 645, 286, 476, 274, 454, 2412, 269, 13878, 295, 692, 302, 24249, 568, 4758, 1010, 3993, 513, 1007, 4203, 10740, 538, 519, 3337, 540, 513, 6439, 340, 9771, 24388, 269, 1261, 568, 2469, 547, 16833, 621, 538, 10477, 28277, 1957, 269, 1261, 917, 602, 646, 2115, 4010, 476, 273, 267, 280, 4366, 4009, 6279, 540, 1957, 547, 16833, 519, 16983, 269, 1403, 519, 1035, 340, 336, 10740, 568, 476, 2412, 6279, 1279, 543, 476, 1240, 454, 6078, 269, 2257, 692, 6343, 338, 1250, 4463, 538, 7397, 286, 1250, 4463, 568, 476, 276, 262, 274, 257, 476, 8287, 6279, 1535, 476, 273, 269, 7918, 4699, 30032, 577, 815, 476, 8182, 269, 271, 4699, 815, 476, 272, 269, 7785, 7397, 1411, 1451, 547, 798, 891, 676, 21021, 2079, 269, 1284, 917, 972, 616, 476, 4375, 269, 4391, 6279, 538, 476, 272, 11281, 269, 3689, 267, 6460, 707, 4463, 547, 6279, 865, 649, 616, 7231, 609, 835, 6221, 454, 5655, 269, 13878, 295, 692, 1692, 1082, 10945, 540, 2427, 476, 276, 6279, 666, 581, 2759, 689, 513, 4062, 540, 7047, 565, 2088, 476, 4366, 6279, 1279, 543, 476, 3607, 6279, 2647, 269, 1548, 1858, 540, 519, 1957, 786, 581, 24906, 888, 6246, 269, 13878, 295, 692, 30537, 6953, 7699, 6499, 547, 1711, 513, 21083, 21239, 269, 2701, 814, 1079, 4773, 540, 3574, 267, 799, 616, 476, 277, 6279, 1279, 543, 476, 280, 6279, 1279, 267, 547, 946, 585, 1079, 5011, 540, 519, 6906, 269, 6904, 540, 519, 1739, 27114, 27237, 581, 519, 561, 5460, 540, 519, 3791, 7406, 543, 1946, 286, 513, 264, 476, 275, 6279, 536, 264, 476, 277, 6279, 524, 264, 476, 1724, 454, 4510, 269, 2979, 692, 296, 723, 513, 3349, 609, 713, 9623, 269, 2030, 2208, 281, 10432, 476, 272, 910, 476, 272, 10759, 267, 3018, 273, 910, 275, 6279, 267, 3018, 476, 274, 910, 476, 277, 6279, 267, 3018, 476, 275, 910, 476, 1556, 6279, 267, 3018, 476, 276, 910, 476, 1691, 6279, 7726, 568, 281, 1131, 596, 2503, 519, 2371, 4463, 547, 581, 476, 1015, 6279, 267, 476, 1626, 6279, 267, 610, 476, 1789, 6279, 693, 3018, 476, 277, 286, 11512, 707, 454, 3393, 269, 4569, 692, 1432, 568, 519, 3169, 1297, 540, 476, 273, 10759, 18695, 602, 530, 328, 3514, 538, 513, 14328, 2215, 7893, 476, 277, 6279, 676, 476, 279, 6279, 676, 476, 275, 6279, 888, 5379, 269, 7194, 692, 297, 574, 10326, 23619, 4054, 269, 634, 1611, 3259, 540, 519, 4054, 12349, 729, 476, 6924, 6279, 609, 513, 3044, 11539, 540, 476, 1015, 6279, 269, 13343, 6499, 547, 917, 1018, 2600, 540, 1010, 6455, 941, 811, 982, 476, 10019, 6279, 7381, 269, 1261, 666, 946, 519, 3044, 3339, 3892, 547, 948, 1864, 269, 1261, 12134, 2676, 5325, 269, 4569, 692, 763, 1153, 13561, 2006, 6027, 519, 2230, 2877, 585, 513, 1007, 2780, 6895, 538, 519, 2257, 4055, 693, 476, 736, 476, 274, 270, 275, 6279, 269, 6904, 540, 891, 3800, 568, 711, 811, 5730, 286, 589, 269, 476, 736, 476, 272, 270, 273, 6279, 645, 269, 476, 736, 476, 278, 270, 279, 6279, 595, 269, 476, 736, 476, 1428, 270, 1626, 6279, 667, 269, 476, 736, 476, 2641, 270, 3953, 6279, 454, 4366, 269, 16387, 692, 288, 2985, 540, 513, 1153, 1032, 1433, 568, 476, 279, 476, 272, 476, 273, 6279, 676, 476, 1556, 6279, 269, 634, 2451, 543, 1318, 14345, 616, 476, 274, 543, 476, 273, 476, 272, 476, 273, 6279, 267, 6606, 269, 634, 2230, 1063, 1079, 5961, 568, 476, 272, 476, 275, 10759, 269, 1677, 3514, 476, 274, 5961, 2066, 519, 2985, 267, 875, 2647, 1058, 1142, 4605, 581, 286, 8382, 538, 4559, 540, 454, 5392, 269, 4569, 692, 763, 1153, 13561, 812, 6027, 519, 2230, 2877, 585, 513, 1007, 2780, 6895, 538, 519, 2257, 4055, 693, 476, 736, 476, 274, 270, 275, 6279, 269, 6904, 540, 891, 3800, 568, 10691, 811, 5730, 286, 589, 269, 476, 736, 476, 272, 270, 273, 6279, 645, 269, 476, 736, 476, 278, 270, 279, 6279, 595, 269, 476, 736, 476, 1428, 270, 1626, 6279, 667, 269, 476, 736, 476, 2641, 270, 3953, 6279, 454, 2004, 269, 13004, 692, 288, 25135, 14653, 3800, 476, 273, 476, 272, 270, 273, 6279, 676, 476, 272, 476, 278, 270, 279, 6279, 269, 898, 568, 547, 581, 23762, 865, 602, 519, 3476, 10155, 786, 581, 476, 275, 6279, 7868, 3259, 540, 519, 23762, 10156, 10155, 786, 581, 476, 272, 269, 476, 273, 476, 272, 270, 273, 6279, 476, 273, 269, 476, 273, 476, 276, 270, 279, 6279, 476, 274, 269, 476, 274, 6279, 476, 275, 269, 476, 274, 476, 274, 270, 279, 6279, 476, 276, 269, 476, 274, 476, 276, 270, 279, 6279, 454, 7906, 269, 2979, 692, 1432, 568, 519, 4320, 540, 513, 4216, 602, 666, 581, 2813, 689, 513, 6656, 540, 4496, 602, 3800, 476, 1321, 6279, 676, 476, 1789, 6279, 286, 27539, 972, 568, 1100, 1283, 547, 519, 4216, 563, 7367, 269, 4569, 692, 5938, 7697, 7306, 616, 4330, 676, 519, 3259, 540, 741, 15497, 2268, 269, 1548, 1131, 581, 519, 7396, 2450, 540, 519, 7641, 3254, 286, 630, 1729, 519, 14282, 2898, 10759, 264, 589, 264, 476, 4029, 6279, 645, 264, 476, 3953, 6279, 595, 264, 476, 3607, 6279, 667, 264, 476, 5655, 6279, 634, 1283, 6712, 540, 519, 26725, 568, 476, 2764, 538, 269, 543, 519, 2427, 568, 476, 1428, 269, 278, 454, 7871, 269, 2979, 692, 3553, 1575, 606, 3830, 610, 4082, 547, 2203, 519, 3510, 2630, 281, 1018, 568, 519, 4320, 540, 513, 4216, 602, 666, 581, 2813, 689, 513, 6656, 540, 4496, 602, 3800, 476, 1321, 6279, 676, 476, 1789, 6279, 286, 4500, 518, 972, 568, 1100, 1283, 547, 519, 4216, 563, 7918, 269, 20145, 692, 288, 9059, 7382, 6238, 856, 476, 275, 6279, 538, 3259, 267, 476, 275, 6279, 2647, 267, 543, 476, 1321, 6279, 2620, 269, 1306, 519, 7382, 568, 4904, 267, 621, 4012, 1227, 21040, 8167, 958, 5329, 621, 14328, 1106, 1175, 2462, 2614, 547, 3180, 519, 5277, 269, 1403, 519, 5277, 568, 1373, 29253, 883, 519, 7382, 693, 476, 279, 12945, 454, 4649, 269, 10789, 692, 288, 4216, 609, 513, 19984, 568, 547, 581, 2759, 856, 540, 513, 476, 1321, 10759, 676, 476, 2190, 10759, 6656, 540, 6094, 21312, 676, 5969, 856, 3670, 1535, 20878, 10945, 543, 24208, 873, 269, 1548, 616, 519, 7516, 547, 1079, 8918, 4025, 540, 782, 2009, 10833, 602, 786, 723, 513, 4320, 540, 476, 1911, 12945, 6279, 888, 6321, 269, 2979, 692, 338, 9876, 543, 2328, 514, 14724, 2474, 281, 476, 274, 18126, 476, 272, 3723, 476, 1015, 6279, 266, 476, 276, 18126, 476, 273, 3952, 476, 275, 6279, 476, 279, 18126, 476, 274, 3952, 476, 1691, 6279, 476, 279, 586, 1091, 476, 275, 3952, 476, 273, 6279, 476, 280, 18126, 476, 272, 3723, 476, 273, 6279, 269, 2638, 602, 269, 596, 991, 547, 6460, 3388, 883, 6279, 476, 272, 13452, 815, 476, 1626, 6279, 476, 272, 3723, 815, 476, 1321, 6279, 634, 692, 273, 269, 20717, 5679, 1080, 513, 4009, 24120, 602, 814, 606, 1858, 540, 476, 272, 267, 4335, 4009, 6279, 269, 1548, 568, 519, 16977, 3259, 540, 1142, 2427, 540, 519, 24120, 286, 630, 272, 1448, 264, 476, 1626, 6279, 476, 2767, 6279, 476, 4375, 6279, 476, 5655, 6279, 27355, 1405, 519, 2626, 476, 4375, 6279, 888, 6812, 269, 4569, 670, 5085, 303, 256, 2439, 2419, 3089, 2115, 547, 2759, 513, 4062, 540, 21312, 585, 606, 1148, 1788, 693, 1153, 269, 1261, 814, 2185, 4773, 540, 21312, 602, 646, 666, 2759, 689, 281, 476, 277, 6279, 267, 476, 276, 6279, 267, 476, 278, 6279, 267, 543, 476, 274, 6279, 269, 1403, 519, 3259, 540, 519, 21312, 646, 2115, 568, 20734, 3374, 6279, 267, 799, 4062, 540, 21312, 1058, 454, 6795, 269, 10803, 692, 763, 3892, 540, 513, 3732, 540, 519, 3544, 5603, 4394, 540, 31668, 3154, 12992, 4114, 23660, 513, 27101, 267, 11350, 11057, 3892, 269, 634, 12980, 1611, 568, 476, 1556, 269, 271, 6279, 267, 543, 519, 3044, 11539, 568, 476, 273, 269, 271, 6279, 269, 6168, 476, 6924, 2600, 540, 519, 3544, 5603, 4394, 9114, 1063, 454, 2568, 269, 4569, 692, 2791, 616, 1210, 4837, 17981, 547, 1118, 513, 4605, 7406, 585, 513, 4009, 8523, 609, 5011, 476, 1015, 6279, 1279, 269, 1411, 1616, 519, 7406, 547, 1106, 513, 7833, 8473, 1472, 519, 8523, 269, 1411, 723, 2614, 17981, 547, 3382, 476, 4968, 4009, 6279, 269, 1548, 568, 519, 4102, 2009, 7406, 454, 8618, 269, 10789, 476, 273, 692, 8923, 666, 2576, 948, 803, 609, 891, 2063, 1906, 2055, 593, 1250, 6780, 286, 1411, 1810, 1405, 723, 547, 2285, 606, 2626, 1317, 594, 1131, 1360, 1454, 899, 547, 917, 875, 547, 798, 873, 286, 1323, 1930, 4216, 568, 4646, 676, 5969, 10945, 609, 2427, 13080, 540, 476, 274, 6279, 689, 1142, 7944, 540, 513, 454, 7830, 269, 2979, 692, 311, 29646, 6499, 547, 8631, 513, 13306, 11057, 3723, 560, 944, 602, 3800, 476, 1015, 269, 1839, 6279, 593, 782, 8728, 269, 1548, 568, 513, 1434, 7447, 540, 519, 1297, 540, 12945, 6279, 540, 17371, 30637, 602, 1352, 786, 991, 286, 513, 269, 1175, 936, 476, 272, 267, 28664, 12945, 6279, 536, 269, 1175, 936, 476, 272, 267, 1822, 12945, 6279, 524, 269, 1175, 936, 476, 1789, 454, 8287, 269, 2979, 692, 305, 624, 9771, 6486, 267, 273, 6279, 676, 476, 274, 6279, 267, 732, 2759, 689, 513, 14328, 6656, 476, 273, 3952, 676, 476, 274, 3952, 23130, 568, 519, 6574, 1297, 540, 6486, 602, 666, 581, 2759, 689, 519, 6656, 888, 5038, 269, 2596, 7223, 692, 1492, 15943, 540, 513, 4062, 540, 21312, 568, 476, 4097, 6279, 269, 10945, 7893, 476, 273, 6279, 593, 513, 2427, 616, 2759, 689, 1142, 7944, 865, 602, 950, 519, 5011, 616, 25649, 909, 267, 519, 15497, 540, 519, 4611, 4216, 814, 519, 3259, 476, 278, 6279, 269, 6343, 616, 519, 3312, 7516, 540, 519, 3556, 454, 4792, 269, 2979, 692, 22428, 519, 21496, 11811, 9103, 1023, 585, 513, 930, 2749, 1246, 513, 3339, 3892, 267, 609, 1611, 540, 476, 1240, 6279, 543, 3044, 11539, 540, 476, 277, 6279, 269, 1280, 513, 14477, 5697, 1032, 267, 1018, 568, 519, 5506, 267, 623, 267, 602, 2698, 11811, 786, 581, 538, 1142, 540, 519, 1739, 454, 5780, 269, 18287, 692, 320, 2650, 8670, 814, 3490, 8006, 476, 279, 6279, 543, 1283, 8006, 476, 1015, 6279, 543, 4463, 476, 273, 6279, 269, 1018, 568, 519, 4320, 540, 519, 12210, 286, 798, 594, 798, 621, 865, 3444, 6810, 616, 10945, 286, 948, 8627, 8729, 2439, 288, 4605, 7406, 568, 476, 1321, 6279, 1279, 543, 476, 280, 6279, 2647, 269, 769, 6279, 267, 1018, 568, 519, 15497, 3259, 540, 519, 4605, 7406, 286, 589, 264, 1321, 6279, 645, 264, 1428, 6279, 30995, 595, 264, 279, 6279, 667, 264, 277, 6279, 6904, 1297, 568, 513, 3501, 13306, 286, 589, 264, 274, 645, 264, 1428, 595, 264, 5038, 30995, 667, 264, 6321, 278, 1879, 4946, 4009, 3597, 476, 1839, 543, 910, 280, 2676, 6924, 269, 4569, 692, 2791, 1616, 547, 1711, 513, 4216, 1510, 513, 1283, 689, 606, 476, 279, 269, 276, 538, 676, 476, 1556, 538, 6656, 540, 1957, 269, 1411, 786, 1118, 519, 4216, 676, 5969, 10945, 540, 3160, 2450, 689, 519, 2185, 15174, 540, 519, 6656, 540, 1957, 269, 1403, 596, 1118, 519, 4216, 609, 519, 5021, 2009, 4320, 267, 1018, 786, 581, 519, 3259, 454, 7597, 269, 12980, 692, 297, 617, 328, 568, 5969, 856, 4773, 540, 1957, 602, 2268, 476, 279, 269, 276, 6279, 676, 476, 1556, 6279, 689, 513, 3677, 6656, 540, 1957, 602, 814, 606, 1858, 540, 476, 1911, 271, 4009, 6279, 269, 1548, 568, 519, 1858, 540, 1142, 4062, 540, 1957, 602, 808, 617, 328, 568, 5969, 856, 888, 3583, 269, 7223, 692, 15411, 31795, 4216, 269, 7338, 568, 2469, 547, 1118, 606, 1930, 31795 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 763, 7145, 540, 6870, 2127, 547, 18359, 15195, 24991, 568, 3908, 1317, 891, 2127, 616, 711, 2356, 21412, 609, 6237, 3270, 540, 3165, 2249, 17381, 543, 3892, 269, 1284, 3379, 519, 17381, 267, 3892, 543, 11606, 540, 9381, 15195, 24991, 538, 513, 6915, 613, 4919, 11662, 540, 27816, 547, 3313, 741, 5726, 4567, 269, 1284, 849, 6059, 519, 10083, 540, 4540, 6870, 2127, 538, 25137, 24991, 538, 1114, 28772, 4919, 4559, 543, 29815, 2456, 676, 10442, 2249, 17381, 543, 3892, 269, 634, 476, 747, 20321, 1993, 320, 10044, 630, 7761, 24094, 1421, 9625, 1789, 260, 21049, 267, 9625, 1015, 260, 12219, 264, 729, 7856, 2687, 547, 522, 5766, 1429, 344, 267, 12775, 543, 28772, 4919, 4559, 269, 4107, 6870, 2127, 1185, 3908, 7145, 585, 3165, 5726, 267, 5631, 1317, 789, 941, 1932, 1507, 454, 528, 3769, 1152, 15998, 540, 29815, 2456, 610, 8963, 1137, 267, 610, 1317, 789, 941, 4092, 1152, 538, 1164, 1633, 8963, 1137, 1141, 2249, 4763, 729, 8766, 269, 1677, 18113, 2149, 15195, 24991, 538, 713, 11662, 519, 4540, 6870, 2127, 1058, 581, 9168, 543, 9450, 563, 288, 638, 1738, 9265, 267, 12713, 613, 4919, 11662, 267, 2817, 11614, 267, 26066, 8933, 454, 12606, 13712, 538, 546, 604, 5166, 338, 12043, 281, 0, 288, 27675, 28942, 5752, 814, 9715, 10373, 2956, 538, 15692, 5752, 267, 2523, 950, 649, 1616, 547, 1118, 946, 540, 519, 1297, 540, 4830, 4393, 4559, 630, 13990, 264, 2139, 593, 519, 1034, 2487, 15692, 3457, 563, 268, 4985, 547, 15692, 17738, 454, 268, 27400, 1158, 609, 10753, 6016, 267, 7435, 2401, 543, 7435, 2401, 1320, 1348, 454, 268, 10289, 1306, 2106, 322, 307, 2532, 454, 268, 10289, 20509, 518, 454, 268, 3955, 716, 532, 609, 7896, 454, 268, 2480, 1117, 30389, 4518, 609, 1325, 1301, 10048, 4526, 454, 268, 10289, 16763, 306, 3481, 17526, 16286, 454, 268, 3955, 716, 532, 609, 519, 8416, 454, 268, 27400, 960, 593, 519, 7111, 4494, 454, 268, 31478, 8416, 29568, 609, 717, 13967, 454, 268, 10289, 22084, 1759, 18058, 454, 268, 1306, 2106, 28942, 5358, 532, 609, 681, 343, 297, 6072, 454, 1432, 1411, 4024, 6258, 912, 268, 6258, 827, 519, 15692, 6713, 543, 519, 1970, 1377, 21276, 543, 1617, 603, 1348, 21437, 2139, 593, 15692, 12676, 298, 563, 268, 1215, 547, 946, 1306, 2106, 322, 307, 2532, 547, 4452, 1239, 538, 4282, 12419, 3356, 2164, 538, 519, 29291, 563, 268, 1215, 547, 946, 519, 15692, 20509, 518, 4020, 547, 4452, 1239, 538, 4282, 543, 5838, 909, 547, 4266, 2164, 563, 268, 1215, 547, 3986, 30892, 2773, 543, 30506, 676, 11488, 960, 547, 513, 6796, 4881, 538, 519, 4282, 563, 268, 1215, 547, 1219, 518, 267, 8430, 543, 16801, 960, 593, 519, 15692, 3590, 1510, 18731, 519, 6007, 1272, 543, 3593, 1995, 563, 268, 1215, 547, 946, 519, 808, 25712, 8818, 547, 14892, 21276, 960, 593, 519, 5065, 4494, 563, 268, 1215, 547, 7485, 543, 7903, 1239, 689, 707, 3060, 13763, 1210, 5616, 717, 13967, 25957, 563, 268, 1215, 547, 1711, 543, 17492, 4247, 609, 681, 343, 297, 6072, 547, 14892, 1950, 607, 2106, 28942, 960, 538, 513, 22150, 1259, 563, 7093, 4650, 621, 693, 8835, 454, 5415, 9623, 693, 13268, 339, 14539, 0, 18800, 540, 10374, 1912, 29320, 543, 25103, 2008, 1607, 5623, 3568, 2101, 834, 301, 777, 1961, 4577, 12668, 27324, 1644, 2474, 267, 2110, 2453, 543, 6402, 19882, 1927, 538, 519, 1106, 540, 15610, 2376, 563, 268, 634, 16486, 4577, 12668, 941, 4061, 3283, 602, 6628, 16539, 1804, 5666, 540, 3854, 543, 2200, 547, 3094, 563, 268, 634, 16486, 4577, 12668, 941, 513, 3126, 540, 10617, 10692, 1282, 19167, 12844, 777, 27525, 1412, 338, 4341, 936, 5333, 563, 268, 4438, 16486, 4577, 12668, 267, 519, 667, 1276, 344, 540, 32160, 729, 2813, 676, 19167, 12844, 777, 27525, 856, 540, 14470, 3338, 799, 1185, 1044, 21687, 676, 2398, 17892, 563, 268, 634, 16486, 4577, 12668, 941, 7372, 538, 741, 13664, 9165, 267, 8151, 267, 607, 2484, 607, 6628, 729, 7255, 267, 936, 782, 540, 519, 2947, 17407, 563, 268, 769, 519, 16486, 4577, 12668, 267, 519, 3943, 896, 9947, 582, 4465, 519, 6370, 540, 589, 1962, 656, 525, 538, 476, 5197, 278, 267, 855, 538, 476, 8687, 271, 789, 941, 8572, 547, 1491, 519, 4884, 676, 26362, 563, 268, 634, 6739, 5859, 729, 519, 23801, 7432, 15304, 540, 519, 16486, 4577, 12668, 602, 6038, 3366, 547, 19167, 781, 14710, 543, 24815, 593, 519, 6532, 540, 4432, 9346, 563, 268, 670, 5960, 2558, 514, 1260, 1446, 324, 568, 513, 9576, 13108, 700, 20364, 11665, 22892, 535, 3419, 622, 3710, 16172, 1739, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 4282, 585, 519, 11556, 729, 519, 31341, 6681, 2621, 1282, 519, 16486, 4577, 10617, 538, 519, 4098, 540, 519, 2540, 563, 268, 2991, 519, 1439, 540, 519, 16486, 4577, 12668, 513, 1007, 4436, 9769, 729, 3964, 538, 476, 8687, 276, 563, 268, 634, 11135, 540, 1261, 2812, 6199, 3576, 1747, 538, 476, 5197, 278, 267, 1282, 519, 16486, 4577, 12668, 563, 268, 898, 729, 519, 1034, 1713, 17189, 6370, 540, 519, 16486, 4577, 12668, 543, 519, 11358, 17189, 6370, 540, 519, 476, 866, 628, 2540, 563, 268, 769, 519, 16486, 4577, 12668, 7671, 31060, 729, 13026, 610, 666, 12061, 12184, 1896, 2053, 676, 3943, 10136, 563, 268, 634, 1646, 540, 519, 3864, 14043, 4006, 2872, 729, 9415, 676, 519, 16486, 4577, 12668, 563, 268, 3571, 4651, 267, 26179, 12672, 14551, 681, 22044, 2335, 267, 729, 513, 4057, 13162, 534, 2250, 528, 538, 6601, 1088, 20044, 945, 10692, 538, 519, 16486, 4577, 12668, 563, 268, 634, 1101, 2717, 2988, 1335, 639, 729, 513, 476, 5038, 3766, 684, 3791, 268, 3433, 9250, 538, 476, 9965, 273, 267, 3742, 538, 519, 16486, 4577, 12668, 267, 10736, 547, 513, 8869, 554, 592, 330, 538, 476, 8687, 274, 543, 7745, 909, 538, 476, 9264, 278, 563, 268, 634, 1079, 1922, 532, 619, 2892, 1393, 7902, 538, 14470, 4108, 4229, 4440, 1354, 610, 1282, 519, 16486, 4577, 10617, 267, 610, 25391, 23410, 857, 639, 345, 14150, 1412, 338, 32574, 538, 476, 9692, 275, 563, 268, 634, 3943, 13108, 4797, 547, 7500, 1996, 519, 3703, 689, 519, 5178, 4302, 10003, 338, 2394, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 11135, 540, 519, 5178, 4302, 10003, 338, 729, 513, 17189, 6370, 1282, 519, 16486, 4577, 12668, 563, 268, 769, 476, 9692, 280, 267, 607, 513, 12343, 540, 519, 16486, 4577, 10617, 538, 7977, 267, 519, 667, 4157, 525, 540, 14205, 1195, 2451, 5695, 514, 543, 3576, 9675, 538, 595, 698, 2993, 926, 585, 930, 19939, 1296, 563, 268, 1261, 6039, 1282, 519, 16486, 4577, 12668, 1519, 11184, 6276, 30621, 1412, 338, 16939, 547, 7977, 538, 476, 5197, 277, 563, 268, 3502, 547, 581, 11821, 609, 519, 3943, 12289, 540, 6576, 1282, 519, 16486, 4577, 12668, 267, 1634, 538, 6576, 607, 519, 24686, 5328, 2782, 540, 476, 8687, 273, 563, 268, 7324, 519, 1101, 23262, 941, 25071, 7189, 538, 519, 16486, 4577, 12668, 945, 941, 5097, 7255, 609, 993, 1584, 566, 563, 268, 634, 16528, 29591, 1185, 1044, 538, 946, 585, 811, 982, 513, 2540, 267, 2094, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 7887, 10878, 30322, 599, 321, 7564, 330, 8498, 568, 3474, 714, 327, 267, 6576, 267, 3957, 1310, 3943, 3854, 8303, 267, 1813, 10878, 30322, 599, 321, 7564, 330, 781, 7589, 538, 16486, 4577, 10617, 563, 268, 2353, 729, 547, 581, 25626, 2476, 676, 519, 31341, 602, 729, 547, 16765, 820, 2342, 693, 519, 2490, 540, 519, 2540, 609, 519, 3943, 21829, 543, 16486, 4577, 12668, 563, 268, 634, 29787, 13191, 3243, 523, 5030, 1454, 540, 1200, 1272, 1282, 519, 3943, 21829, 543, 16486, 4577, 12668, 267, 543, 1079, 540, 1200, 14552, 6039, 538, 519, 9576, 13108, 563, 268, 2637, 269, 4165, 334, 710, 28741, 808, 558, 7236, 267, 945, 9916, 519, 16486, 4577, 12668, 538, 2474, 540, 2596, 3741, 543, 540, 5929, 267, 2757, 13137, 563, 268, 634, 3350, 3927, 5747, 538, 476, 8687, 274, 6306, 689, 513, 5618, 32134, 540, 700, 3291, 924, 18941, 538, 476, 8687, 277, 1739, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 4438, 519, 16486, 4577, 12668, 538, 476, 5197, 277, 519, 2749, 729, 5391, 23306, 676, 519, 14470, 10136, 896, 1024, 563, 268, 634, 1931, 2968, 1447, 28191, 699, 1282, 519, 476, 1704, 628, 2540, 267, 855, 7283, 9565, 2394, 922, 27757, 693, 519, 1439, 540, 519, 16486, 4577, 10617, 563, 268, 24955, 24729, 560, 1195, 781, 12473, 2782, 543, 13458, 267, 1305, 1282, 519, 16486, 4577, 12668, 267, 729, 1101, 3370, 538, 6739, 538, 3670, 12531, 689, 476, 5908, 276, 547, 476, 5908, 280, 563, 268, 2991, 519, 1439, 540, 519, 16486, 4577, 12668, 267, 717, 548, 12685, 6308, 729, 13950, 538, 519, 2398, 11701, 8664, 540, 570, 739, 8566, 548, 12685, 6308, 1369, 519, 19435, 540, 590, 3796, 807, 538, 476, 8687, 277, 563, 268, 634, 2749, 5555, 4503, 922, 4123, 543, 23146, 1282, 519, 5756, 17364, 519, 18599, 13012, 262, 2782, 267, 519, 3943, 4838, 543, 519, 16486, 4577, 12668, 563, 268, 2060, 519, 791, 3789, 540, 519, 3625, 1228, 540, 519, 11782, 1282, 519, 16486, 4577, 10617, 972, 729, 606, 791, 28127, 547, 1020, 14043, 585, 741, 4006, 1543, 563, 268, 634, 3943, 7169, 543, 519, 16486, 4577, 12668, 630, 9692, 277, 1700, 8687, 276, 264, 5189, 519, 2093, 540, 7862, 267, 9111, 267, 1876, 543, 4182, 563, 268, 634, 4473, 540, 2093, 540, 18541, 267, 20174, 543, 2648, 585, 835, 781, 1455, 1004, 543, 14940, 267, 2799, 538, 8560, 1282, 519, 16486, 4577, 12668, 563, 268, 3943, 21109, 543, 16486, 4577, 10617, 616, 2808, 513, 1292, 2014, 540, 18541, 538, 519, 4436, 2829, 563, 268, 9737, 476, 8687, 272, 543, 476, 8687, 277, 630, 323, 1005, 519, 16486, 4577, 12668, 1070, 834, 5715, 2158, 807, 257, 3357, 896, 3703, 4341, 855, 729, 8120, 547, 519, 10656, 563, 268, 634, 3703, 13026, 519, 10195, 7466, 1282, 519, 16486, 4577, 12668, 267, 855, 8120, 873, 547, 519, 10656, 538, 476, 8687, 277, 563, 268, 4438, 519, 21829, 543, 16486, 4577, 12668, 267, 519, 476, 272, 560, 2871, 1841, 267, 15385, 547, 26652, 538, 476, 9692, 274, 267, 941, 1851, 519, 1101, 3703, 10136, 547, 2244, 538, 2342, 563, 268, 4438, 519, 16486, 4577, 12668, 267, 24545, 781, 4644, 6603, 922, 9803, 1448, 267, 609, 26652, 1373, 12842, 883, 519, 3943, 7276, 563, 268, 5437, 476, 1626, 910, 16486, 4577, 12668, 281, 11135, 540, 5576, 7238, 978, 571, 828, 333, 910, 678, 11701, 3196, 896, 20045, 1674, 8488, 519, 13287, 676, 3943, 10136, 896, 12653, 520, 563, 268, 4438, 519, 16486, 4577, 12668, 267, 595, 860, 928, 543, 12844, 333, 941, 1312, 13026, 676, 519, 3943, 7952, 267, 538, 5239, 543, 5437, 540, 476, 9692, 275, 563, 268, 3864, 6006, 543, 6125, 5777, 6749, 10511, 527, 3585, 538, 5437, 607, 513, 1267, 540, 4057, 3771, 341, 3949, 538, 519, 12687, 540, 519, 16486, 4577, 10617, 563, 268, 11154, 539, 689, 634, 25511, 267, 513, 3209, 676, 595, 269, 590, 269, 5983, 3122, 267, 519, 4670, 568, 1305, 538, 8050, 1282, 519, 16486, 4577, 10617, 563, 268, 2311, 1101, 646, 543, 1010, 31548, 13986, 547, 11654, 513, 3609, 540, 29591, 538, 519, 16486, 4577, 12668, 563, 268, 634, 16528, 3609, 540, 29591, 1185, 1044, 513, 3811, 835, 585, 811, 982, 513, 2540, 267, 2094, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 2991, 519, 16486, 4577, 10617, 267, 543, 3226, 689, 519, 4571, 268, 866, 628, 2540, 593, 267, 972, 729, 513, 2178, 5397, 1851, 16586, 547, 26595, 782, 4436, 2829, 883, 835, 2197, 563, 268, 634, 4670, 729, 5921, 547, 8300, 519, 16586, 609, 922, 26841, 540, 519, 24123, 2398, 11701, 20237, 540, 519, 2749, 538, 476, 5197, 278, 1282, 519, 16486, 4577, 12668, 563, 268, 16486, 4577, 12668, 281, 11135, 540, 918, 592, 332, 674, 4454, 593, 4864, 476, 1789, 267, 476, 8687, 274, 267, 519, 11135, 540, 918, 592, 332, 729, 513, 29663, 11802, 602, 7018, 1282, 741, 18956, 689, 667, 637, 6577, 563, 268, 1809, 676, 519, 3943, 21829, 543, 16486, 4577, 12668, 267, 1256, 713, 1599, 729, 538, 18956, 267, 543, 1906, 476, 2004, 338, 941, 3710, 563, 268, 2701, 4718, 3028, 538, 519, 1977, 21829, 267, 3943, 21829, 543, 16486, 4577, 12668, 267, 543, 10692, 538, 1082, 540, 519, 2101, 17189, 12959, 540, 1346, 7526 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2767, 912, 2018, 1582, 27863, 3488, 271, 269, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3299, 1412, 271, 269, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 2764, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2764, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2764, 912, 2018, 1582, 27863, 3488, 271, 269, 2568, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 272, 3299, 1412, 271, 269, 2568, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3066, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3066, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3066, 912, 2018, 1582, 27863, 3488, 271, 269, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 4029, 271, 4097, 4366, 273, 279, 3299, 1412, 271, 269, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 4029, 271, 4097, 4366, 273, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 1789, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 1789, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 1789, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 5780, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 3299, 1412, 271, 269, 276, 5780, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4029, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4029, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4029, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 4350, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 273, 3299, 1412, 271, 269, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 4350, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3953, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3953, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3953, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 4029, 1839, 3299, 1412, 271, 269, 276, 4029, 1839, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3451, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3451, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3451, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 273, 3299, 1412, 271, 269, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4097, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4097, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4097, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 3299, 1412, 271, 269, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3374, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3374, 912, 2018, 1582, 27863, 3488, 271, 269, 4366, 276, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 3299, 1412, 271, 269, 4366, 276, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3607, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3607, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3607, 912, 2018, 1582, 27863, 3488, 271, 269, 5325, 273, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 273, 3299, 1412, 271, 269, 5325, 273, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4391, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4391, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4391, 912, 2018, 1582, 27863, 3488, 271, 269, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 276, 3299, 1412, 271, 269, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4343, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4343, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4343, 912, 2018, 1582, 27863, 3488, 271, 269, 4510, 278, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 272, 3299, 1412, 271, 269, 4510, 278, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4375, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4375, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4375, 912, 2018, 1582, 27863, 3488, 271, 269, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 280, 3299, 1412, 271, 269, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 280, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 2412, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2412, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2412, 912, 2018, 1582, 27863, 3488, 271, 269, 28883, 3299, 1412, 271, 269, 28883, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 6078, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6078, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6078, 912, 2018, 1582, 27863, 3488, 271, 269, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 276, 3299, 1412, 271, 269, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 5655, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5655, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5655, 912, 2018, 1582, 27863, 3488, 271, 269, 29024, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 279, 3299, 1412, 271, 269, 29024, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 6246, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6246, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6246, 912, 2018, 1582, 27863, 3488, 271, 269, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 3299, 1412, 271, 269, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4510, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4510, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4510, 912, 2018, 1582, 27863, 3488, 271, 269, 4343, 277, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 275, 3299, 1412, 271, 269, 4343, 277, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3393, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4305, 2016, 547, 873, 543, 1053, 723, 519, 6891, 538, 1272, 3529, 1317, 1272, 568, 513, 5198, 563, 312, 3641, 5600, 281, 898, 20186, 968, 297, 1195, 892, 1107, 799, 11414, 1453, 827, 1272, 4245, 602, 1053, 1058, 581, 8797, 543, 2186, 547, 1169, 1373, 543, 547, 1521, 3025, 8449, 563, 16675, 5600, 281, 898, 20186, 968, 28775, 892, 2760, 9561, 4126, 2901, 538, 3756, 267, 2238, 610, 538, 1483, 1272, 1547, 6904, 28093, 32079, 538, 1053, 547, 798, 782, 519, 2016, 11645, 609, 3592, 19969, 543, 12582, 1406, 13587, 633, 24455, 538, 1272, 563, 1103, 713, 6073, 267, 782, 891, 968, 9816, 4785, 2464, 892, 538, 1529, 322, 622, 1434, 5837, 2418, 543, 3992, 1851, 519, 1053, 0, 17138, 281, 1133, 557, 4979, 519, 18266, 281, 1215, 547, 13782, 622, 998, 519, 5680, 540, 1546, 4003, 454, 1103, 2221, 779, 3728, 19550, 1158, 267, 621, 666, 581, 4101, 547, 20559, 1249, 689, 5708, 269, 2060, 519, 4473, 540, 1514, 2923, 267, 3377, 19093, 267, 543, 2229, 6898, 267, 621, 779, 2629, 547, 2226, 513, 26617, 14820, 543, 3343, 519, 5168, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 24245, 13587, 527, 1369, 2923, 267, 2229, 267, 543, 9746, 3013, 543, 1683, 596, 609, 3407, 4388, 547, 10625, 519, 1483, 1650, 3297, 519, 8673, 543, 19141, 563, 4462, 30584, 532, 519, 9012, 912, 295, 273, 281, 1546, 24554, 532, 11572, 2717, 3149, 1107, 9484, 541, 908, 18266, 689, 28294, 1637, 454, 295, 274, 281, 4197, 6341, 7204, 4437, 553, 543, 4706, 8177, 454, 303, 11823, 1135, 3149, 723, 1831, 513, 11342, 1907, 585, 5935, 1857, 6644, 269, 1717, 267, 621, 779, 1898, 547, 2007, 4514, 543, 5659, 741, 16097, 547, 1174, 519, 6111, 540, 519, 2164, 269, 3509, 1135, 3149, 7985, 689, 10386, 9186, 267, 1141, 519, 5697, 7535, 540, 17013, 949, 711, 8308, 2099, 519, 2551, 269, 5901, 519, 1739, 538, 2247, 950, 16208, 2797, 1135, 3149, 912, 1700, 25826, 519, 3732, 2450, 281, 589, 3677, 3732, 2450, 11148, 547, 581, 811, 11347, 563, 1700, 10576, 1761, 15295, 12886, 281, 3550, 602, 519, 3732, 4564, 513, 3309, 2039, 540, 2085, 2516, 267, 6803, 885, 267, 543, 8739, 20300, 10080, 563, 1700, 6333, 519, 14345, 540, 5470, 281, 589, 3542, 779, 6015, 8884, 6920, 519, 2039, 538, 799, 519, 3020, 2551, 1871, 6013, 563, 295, 275, 281, 5517, 4211, 515, 9535, 4750, 1143, 1107, 1133, 557, 4979, 519, 3397, 12629, 454, 22711, 1143, 4249, 513, 4105, 1909, 538, 26655, 519, 1857, 267, 855, 12886, 543, 6456, 989, 31789, 666, 512, 5593, 519, 1344, 4843, 269, 1677, 6330, 998, 21678, 8989, 267, 2015, 891, 2994, 912, 1700, 9061, 3146, 12401, 2789, 2959, 281, 14424, 519, 1482, 1650, 689, 1114, 3377, 19093, 547, 2744, 513, 6626, 5133, 563, 1700, 5517, 27902, 6811, 281, 15750, 2572, 899, 5517, 13425, 3820, 543, 7971, 328, 15542, 1683, 28102, 2079, 540, 6898, 1500, 676, 14761, 543, 1857, 5515, 563, 1700, 16418, 3309, 16752, 281, 18918, 609, 4244, 610, 4830, 3377, 2959, 547, 2263, 1114, 5380, 543, 2057, 16079, 20830, 563, 2750, 19397, 6554, 1546, 4003, 912, 295, 273, 281, 6837, 1308, 670, 792, 902, 1107, 5463, 5317, 519, 18266, 454, 295, 274, 281, 20876, 11572, 26308, 454, 17812, 816, 1308, 5873, 902, 616, 1419, 4843, 607, 3255, 547, 796, 24160, 6456, 18408, 267, 855, 789, 666, 849, 581, 5867, 585, 2797, 2022, 1005, 269, 13773, 21713, 676, 1739, 891, 4808, 912, 1700, 9796, 3007, 547, 519, 24500, 281, 13760, 519, 2797, 28930, 725, 543, 4690, 540, 519, 2043, 3238, 563, 1700, 21302, 15819, 2553, 281, 19415, 585, 3056, 2055, 610, 6264, 9227, 12485, 602, 949, 31818, 3007, 2476, 689, 519, 1483, 2152, 563, 1700, 5517, 27902, 6898, 281, 7638, 1518, 6811, 1500, 676, 22168, 610, 14761, 538, 5873, 902, 547, 5094, 5168, 689, 12879, 563, 295, 275, 281, 15766, 894, 4750, 1143, 1107, 24613, 15332, 24722, 15881, 2510, 454, 4407, 4013, 6898, 616, 2556, 585, 1620, 2229, 3527, 267, 789, 798, 711, 2141, 5862, 519, 2407, 4605, 269, 6333, 891, 12485, 547, 5490, 4514, 912, 1700, 31385, 4244, 2959, 281, 18299, 523, 20859, 543, 4830, 22602, 949, 2709, 4030, 543, 5380, 15763, 676, 13416, 2923, 563, 1700, 6226, 883, 1857, 5638, 281, 6554, 6054, 267, 2883, 12607, 17007, 267, 543, 5480, 5638, 666, 1683, 3407, 1344, 25848, 3293, 538, 4013, 6386, 563, 1700, 22982, 15213, 540, 6176, 2920, 630, 23859, 8656, 264, 13668, 281, 29332, 8656, 2636, 2043, 547, 3489, 2229, 5638, 602, 616, 711, 9286, 610, 23614, 539, 689, 23930, 563, 290, 2734, 622, 3013, 281, 19992, 519, 4354, 1555, 912, 295, 273, 281, 1133, 557, 4979, 23654, 5940, 10407, 570, 716, 923, 454, 295, 274, 281, 634, 3203, 540, 5682, 31290, 454, 6624, 3549, 3409, 547, 581, 13476, 6857, 267, 855, 711, 782, 2661, 909, 547, 741, 6725, 20116, 269, 3680, 9991, 585, 3039, 31290, 676, 14139, 519, 1739, 2994, 912, 1700, 3194, 3791, 18407, 24501, 281, 6733, 585, 20774, 2787, 689, 18019, 3906, 971, 607, 12876, 11780, 267, 19845, 3633, 267, 610, 645, 17620, 563, 1700, 2480, 337, 583, 514, 1125, 6940, 6811, 281, 25826, 3549, 685, 4890, 2853, 543, 12001, 8989, 547, 2327, 789, 5447, 609, 741, 29064, 2418, 563, 1700, 6733, 3564, 11183, 281, 19889, 7888, 11183, 949, 1711, 519, 21903, 540, 6940, 267, 855, 621, 568, 1898, 547, 8495, 513, 2754, 779, 3003, 3761, 5832, 563, 295, 275, 281, 19078, 19901, 1143, 1107, 26472, 3690, 10337, 543, 10055, 1464, 454, 2026, 6800, 267, 649, 723, 519, 1379, 547, 3310, 9746, 2623, 269, 7427, 891, 4388, 547, 1489, 5683, 4213, 543, 6536, 513, 2528, 540, 11413, 912, 1700, 26875, 1125, 2199, 543, 4830, 4213, 281, 1358, 1419, 723, 6793, 4296, 547, 741, 2950, 543, 616, 811, 18177, 547, 741, 5561, 563, 1700, 3447, 622, 3054, 827, 3761, 11800, 281, 8081, 3549, 609, 12001, 27126, 543, 4023, 4074, 2853, 563, 1700, 18918, 538, 3743, 10115, 281, 6333, 10115, 538, 3549, 602, 4225, 1514, 543, 2825, 5539, 563, 7069, 476, 273, 595, 757, 912, 1103, 513, 1158, 22125, 609, 25749, 267, 519, 5539, 6013, 609, 721, 547, 3343, 519, 5168, 269, 1635, 14139, 2565, 3206, 267, 1249, 19295, 9535, 267, 543, 4129, 4328, 938, 2959, 540, 1344, 267, 649, 666, 6330, 519, 1357, 540, 26760, 269, 1306, 4961, 267, 649, 1590, 3180, 2923, 19093, 267, 2229, 9988, 267, 543, 14078, 18177, 585, 741, 3527, 269, 8625, 267, 649, 666, 1711, 513, 811, 5483, 543, 12001, 2486, 269, 0, 288, 13849, 2091, 568, 513, 5691, 1158, 602, 6818, 2228, 543, 666, 581, 15600, 676, 4896, 609, 606, 4950, 4276, 269, 898, 568, 513, 476, 274, 291, 1158, 602, 568, 3710, 543, 9738, 676, 922, 3755, 543, 666, 581, 1031, 585, 4376, 689, 1514, 1944, 543, 11080, 547, 2324, 543, 10918, 563, 19465, 513, 13849, 2091, 568, 1100, 1507, 4305, 267, 855, 972, 616, 513, 1906, 1883, 1919, 602, 991, 547, 581, 6854, 538, 2247, 538, 1931, 547, 1118, 621, 513, 1967, 269, 17616, 267, 519, 13849, 2091, 1590, 581, 2966, 547, 581, 3593, 7888, 543, 2653, 547, 6330, 269, 19627, 267, 621, 1590, 581, 7683, 8242, 543, 9738, 538, 1931, 547, 1832, 3755, 5461, 269, 1656, 6368, 267, 621, 1590, 581, 20651, 609, 513, 3099, 540, 1543, 543, 2238, 547, 9029, 547, 513, 2647, 2039, 540, 3755, 563, 1103, 519, 7706, 540, 2029, 543, 5691, 2833, 267, 519, 2165, 968, 5471, 320, 2091, 892, 814, 1044, 1818, 6329, 25015, 269, 898, 779, 513, 1523, 602, 814, 9676, 519, 4337, 5209, 540, 1099, 5505, 267, 13777, 584, 1235, 267, 543, 1256, 519, 2489, 1857, 269, 1809, 1018, 4010, 568, 519, 13849, 2091, 267, 543, 1946, 568, 621, 10451, 865, 1454, 10761, 286, 769, 713, 5816, 2022, 267, 649, 3580, 4685, 2620, 883, 519, 13849, 2091, 543, 2263, 922, 4214, 267, 1761, 267, 543, 6286, 563, 4415, 891, 1919, 538, 2247, 267, 3384, 513, 3811, 13849, 2091, 568, 1369, 3914, 269, 1924, 1205, 3323, 2221, 267, 543, 945, 6487, 1018, 596, 1522, 1628, 2336, 9377, 1456, 26426, 2091, 5691, 1158, 454, 288, 13849, 2091, 568, 513, 5691, 1158, 602, 6818, 593, 519, 5769, 269, 898, 568, 513, 10770, 267, 3838, 2230, 1141, 3755, 666, 2170, 609, 1142, 824, 543, 609, 519, 1604, 1472, 873, 269, 589, 13849, 2091, 666, 581, 1031, 585, 513, 3099, 540, 5301, 267, 1519, 1514, 13033, 267, 2228, 11080, 267, 543, 1870, 5698, 563, 300, 9508, 951, 525, 616, 1419, 3379, 547, 2757, 3381, 3756, 610, 5691, 10600, 267, 855, 972, 616, 930, 1883, 3604, 269, 3689, 267, 513, 13849, 2091, 568, 2966, 547, 581, 10853, 543, 1825, 15344, 267, 1247, 1869, 3246, 513, 1164, 4110, 540, 2170, 2032, 543, 8112, 269, 5822, 267, 513, 13849, 2091, 568, 5497, 547, 581, 1031, 676, 513, 1804, 1297, 540, 1004, 693, 519, 1482, 942, 267, 6466, 1034, 3381, 3756, 616, 2966, 585, 2582, 268, 16651, 610, 1507, 3818, 16651, 2833, 269, 7053, 267, 513, 13849, 2091, 568, 7683, 9687, 543, 3395, 267, 609, 1007, 1543, 543, 2934, 1373, 3773, 593, 513, 2834, 4493, 563, 2414, 2417, 12172, 543, 12927, 519, 4214, 540, 519, 13849, 2091, 267, 1577, 779, 5490, 4514, 883, 922, 3334, 543, 29782, 269, 634, 13849, 2091, 568, 711, 8806, 513, 5691, 4641, 610, 21284, 4641, 1995, 282, 621, 4422, 3564, 602, 269, 898, 568, 606, 27763, 543, 10562, 3060, 540, 3059, 26441, 1141, 2043, 666, 23365, 2933, 538, 5691, 5054, 267, 2170, 609, 1866, 267, 543, 4497, 609, 513, 2647, 5044, 540, 3059, 1543, 543, 2533, 563, 4263, 922, 4295, 267, 519, 13849, 2091, 568, 513, 23314, 540, 938, 7287, 585, 513, 811, 10562, 543, 15138, 3059, 1158, 269, 898, 568, 513, 2230, 1141, 519, 6302, 1063, 2168, 543, 3059, 19178, 20747, 267, 2870, 1007, 3255, 585, 2792, 267, 3408, 267, 543, 1582, 22325, 269, 769, 519, 13849, 2091, 267, 3755, 723, 519, 5191, 547, 5581, 741, 1285, 520, 1513, 267, 1711, 5691, 1268, 553, 267, 543, 6330, 998, 513, 5318, 5044, 540, 3059, 8916, 543, 2833, 563, 763, 13849, 2091, 568, 711, 3908, 547, 513, 2582, 3760, 610, 2029, 282, 621, 568, 513, 7583, 332, 1588, 540, 1585, 4066, 2324, 538, 10103, 269, 898, 10905, 2609, 540, 5841, 4987, 267, 5691, 4641, 267, 21284, 4641, 267, 9893, 267, 543, 519, 4950, 540, 1919, 547, 1711, 513, 3638, 543, 7317, 3059, 5117, 269, 898, 568, 606, 2479, 21608, 1523, 602, 11179, 24864, 519, 6302, 540, 1018, 568, 2009, 538, 519, 3059, 7706, 563, 1103, 9759, 267, 519, 13849, 2091, 4564, 513, 17565, 6521, 538, 875, 649, 13498, 543, 4497, 609, 519, 3059, 1158, 269, 898, 25186, 519, 7687, 540, 2168, 2230, 267, 3850, 721, 547, 2263, 267, 1921, 267, 543, 12840, 593, 513, 2518, 4336, 269, 898, 10741, 909, 1007, 18817, 585, 5876, 267, 5647, 267, 543, 1480, 5872, 563, 2026, 649, 1847, 4464, 267, 621, 568, 1271, 547, 3314, 602, 519, 13849, 2091, 568, 711, 513, 11397, 5326, 610, 513, 2484, 1922, 564, 3481, 1523, 269, 898, 568, 2907, 2921, 3337, 538, 1585, 3029, 543, 3156, 267, 543, 922, 3310, 786, 1152, 3136, 547, 1332, 269, 1635, 1620, 543, 8508, 519, 1761, 540, 519, 13849, 2091, 267, 649, 666, 6330, 713, 1007, 3059, 20281, 609, 7279, 267, 5539, 267, 543, 606, 26772, 7029, 547, 5935, 513, 2104, 602, 2640, 721, 782, 563, 1692, 547, 1628, 513, 13849, 2091, 5691, 1158, 888, 2467, 568, 1100, 835, 2626, 547, 713, 2243, 267, 607, 972, 568, 1100, 835, 1259, 547, 1628, 519, 13849, 2091, 269, 1717, 267, 972, 616, 513, 1906, 1883, 2609, 602, 616, 2556, 585, 1022, 3811, 3801, 693, 2870, 513, 5691, 1158, 602, 13147, 923, 610, 20489, 519, 1483, 1158, 538, 2474, 540, 4336, 267, 6988, 267, 543, 21599, 563, 5575, 267, 621, 568, 1271, 547, 723, 513, 2312, 543, 8903, 5075, 585, 519, 13849, 2091, 269, 1548, 568, 621, 602, 596, 1616, 547, 1711, 286, 1548, 4990, 540, 1995, 798, 596, 1616, 3755, 547, 723, 286, 1548, 786, 1118, 707, 5691, 1158, 2189, 543, 4502, 9683, 286, 4495, 596, 723, 513, 2178, 2631, 540, 519, 2949, 1523, 267, 596, 666, 2253, 547, 2322, 1927, 519, 1367, 4773, 563, 9202, 267, 596, 3580, 991, 547, 1711, 513, 7347, 543, 8465, 5989, 602, 666, 1489, 513, 1804, 1297, 540, 3755, 543, 513, 2647, 3099, 540, 2238, 269, 901, 786, 2154, 513, 1713, 5092, 540, 942, 543, 2200, 267, 855, 621, 568, 1898, 547, 2870, 513, 13849, 2091, 602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 6507, 275, 1496, 13707, 476, 14625, 276, 316, 13158, 902, 476, 271, 22227, 476, 6507, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 272, 454, 299, 454, 32622, 476, 278, 1789, 1496, 13707, 476, 26341, 274, 316, 13158, 902, 476, 279, 22227, 476, 20981, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 299, 454, 303, 454, 303, 454, 303, 454, 272, 454, 303, 454, 299, 454, 32622, 476, 5379, 278, 1496, 13707, 476, 8064, 272, 279, 316, 13158, 902, 476, 1556, 22227, 476, 3374, 278, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 4510, 272, 1496, 13707, 476, 5325, 273, 316, 13158, 902, 476, 271, 22227, 476, 272, 769, 10903, 725, 476, 4510, 5510, 1467, 454, 306, 454, 299, 454, 299, 454, 272, 454, 32622, 476, 6110, 1496, 13707, 476, 277, 4029, 277, 316, 13158, 902, 476, 277, 22227, 476, 22430, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 25228, 1496, 13707, 476, 25228, 316, 13158, 902, 476, 272, 22227, 476, 14838, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 26631, 1496, 13707, 476, 27183, 316, 13158, 902, 476, 272, 22227, 476, 25546, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 25546, 1496, 13707, 476, 22550, 274, 316, 13158, 902, 476, 274, 22227, 476, 6245, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 258, 14581, 6435, 281, 15531, 519, 12045, 540, 513, 1599, 780, 272, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 17843, 5573, 1384, 344, 815, 476, 275, 476, 279, 18414, 343, 317, 273, 692, 16920, 3319, 547, 4194, 519, 1966, 780, 325, 1412, 630, 343, 264, 815, 476, 275, 3287, 317, 273, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 1535, 9745, 268, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 6543, 485, 476, 272, 24474, 9745, 476, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 476, 273, 270, 1535, 317, 277, 2020, 325, 1412, 630, 343, 264, 815, 476, 279, 24474, 9745, 476, 277, 692, 296, 723, 1100, 2856, 952, 713, 568, 519, 1318, 2626, 267, 1813, 547, 519, 1249, 602, 713, 568, 606, 2228, 2789, 3903, 2243, 585, 6780, 267, 543, 594, 1131, 723, 547, 4584, 9039, 540, 519, 1657, 269, 9046, 568, 267, 594, 723, 1044, 834, 333, 821, 540, 519, 1657, 257, 585, 1169, 2243, 865, 2484, 267, 543, 594, 6415, 3206, 594, 6415, 3257, 21739, 4636, 267, 1256, 1498, 594, 1810, 1405, 1294, 621, 269, 7102, 948, 1131, 581, 15874, 780, 8310, 12995, 281, 4239, 476, 2537, 267, 476, 1001, 273, 454, 273, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 763, 1259, 596, 5206, 713, 568, 513, 2370, 14845, 269, 1772, 519, 1966, 2854, 1384, 259, 344, 815, 476, 275, 1422, 6912, 314, 279, 31765, 343, 3867, 273, 32556, 2496, 274, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 8133, 267, 20994, 585, 519, 10539, 780, 275, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 302, 330, 267, 1100, 19048, 269, 3973, 649, 723, 1384, 259, 325, 3287, 264, 815, 476, 275, 1535, 17353, 2765, 346, 273, 2410, 279, 3686, 815, 476, 275, 1535, 17353, 2765, 346, 272, 2410, 275, 32556, 259, 325, 21948, 343, 264, 815, 1422, 2765, 346, 272, 2410, 275, 348, 476, 275, 1535, 17353, 2765, 24877, 274, 2410, 275, 32556, 259, 325, 21948, 343, 264, 815, 1422, 2765, 346, 272, 2410, 343, 17353, 2765, 346, 274, 2410, 275, 3686, 10592, 2005, 3085, 1405, 723, 547, 581, 2854, 713, 3169, 1259, 1498, 267, 865, 621, 781, 909, 547, 596, 547, 4137, 856, 952, 835, 540, 519, 3681, 568, 2953, 269, 4746, 267, 519, 12161, 596, 1500, 729, 602, 596, 12628, 519, 476, 279, 538, 519, 14009, 1063, 519, 476, 274, 6113, 543, 476, 275, 628, 3268, 780, 276, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 6543, 485, 476, 272, 24474, 9745, 476, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 476, 273, 270, 1535, 317, 277, 2020, 2414, 12172, 1141, 596, 12161, 729, 267, 3314, 602, 519, 476, 273, 526, 476, 279, 568, 538, 519, 20800, 267, 865, 621, 781, 711, 851, 540, 519, 8454, 596, 941, 14921, 269, 634, 2034, 1900, 1934, 1058, 723, 1044, 1384, 259, 325, 21948, 343, 264, 815, 476, 275, 7268, 2765, 346, 273, 2410, 279, 1535, 17353, 2765, 346, 277, 2410, 279, 3686, 16585, 6911, 10190, 596, 1223, 2569, 2417, 543, 723, 519, 2953, 2626, 780, 277, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 296, 1294, 267, 9684, 596, 1360, 1454, 256, 2334, 2306, 1454, 811, 2631, 1631, 269, 0, 258, 3657, 12825, 338, 9971, 3252, 2496, 2467, 568, 513, 2462, 3017, 1063, 606, 12825, 1599, 543, 513, 9971, 269, 634, 1599, 533, 3287, 264, 815, 1535, 274, 568, 513, 9971, 269, 3371, 519, 968, 19702, 762, 5608, 1535, 267, 568, 1373, 6659, 547, 930, 3586, 1379, 269, 634, 1599, 535, 3287, 6661, 274, 343, 568, 606, 12825, 1599, 282, 519, 4756, 568, 519, 20800, 780, 1012, 3657, 7750, 923, 9971, 3252, 2496, 288, 9971, 1599, 568, 513, 1599, 971, 607, 513, 13392, 267, 513, 12945, 267, 513, 14415, 545, 267, 543, 865, 593, 267, 5473, 1152, 1875, 24308, 8870, 7060, 540, 1535, 780, 1012, 1772, 513, 18980, 18042, 1599, 513, 9971, 2496, 2467, 568, 1100, 3169, 9971, 3830, 585, 513, 20534, 5951, 269, 8409, 5432, 609, 13177, 781, 543, 5839, 299, 4768, 514, 781, 3252, 786, 917, 789, 666, 581, 4114, 13846, 676, 606, 12808, 3126, 540, 21335, 269, 1280, 1383, 267, 2673, 547, 1535, 284, 271, 267, 519, 1871, 585, 20534, 666, 581, 4114, 13846, 676, 281, 2334, 781, 513, 2603, 540, 9819, 780, 1012, 3657, 17969, 916, 21335, 2496, 8794, 519, 1249, 602, 3160, 21335, 723, 3160, 14170, 267, 713, 10522, 602, 2845, 3287, 6661, 271, 585, 782, 1535, 269, 2334, 3884, 1405, 3020, 267, 543, 3976, 519, 13429, 602, 2845, 568, 513, 9971, 5012, 547, 513, 27171, 780, 1012, 2052, 513, 5276, 1599, 581, 513, 9971, 2496, 1103, 11810, 267, 25107, 9511, 543, 1644, 2127, 267, 513, 5276, 1599, 568, 513, 9971, 540, 4110, 835, 610, 1447, 267, 1519, 519, 4642, 9971, 630, 1492, 8545, 711, 1373, 2808, 547, 723, 4110, 4642, 1040, 3267, 589, 3586, 1599, 568, 849, 2808, 5276, 538, 713, 2796, 267, 607, 621, 568, 513, 9971, 540, 4110, 4642, 610, 568, 519, 4642, 9971, 780, 1012, 27155, 267, 21929, 267, 5890, 11228, 267, 1299, 8298, 15162, 6193, 12793, 692, 3451, 1644, 2055, 1336, 692, 2162, 1548, 568, 711, 513, 9971, 2496, 21691, 8662, 338, 3112, 2270, 27847, 23055, 269, 16301, 5627, 27847, 23055, 630, 7945, 607, 476, 274, 343, 266, 273, 344, 272, 270, 273, 268, 272, 264, 616, 711, 2808, 21335, 269, 27155, 338, 3112, 2270, 18119, 269, 1280, 1383, 267, 476, 273, 344, 273, 1341, 18414, 274, 343, 1341, 476, 275, 568, 711, 513, 9971, 780, 2162, 2052, 513, 3490, 540, 513, 2845, 581, 2942, 2496, 2690, 1383, 267, 952, 536, 815, 910, 275, 543, 586, 815, 476, 272, 270, 273, 267, 1287, 536, 317, 344, 815, 1535, 568, 3160, 547, 519, 4009, 3597, 540, 910, 275, 269, 901, 9327, 1405, 2285, 721, 1022, 1483, 3435, 256, 1924, 519, 3490, 27114, 27237, 581, 2942, 269, 32027, 1927, 782, 476, 274, 8753, 267, 649, 666, 2161, 602, 519, 3490, 540, 513, 30233, 666, 1152, 581, 2318, 2338, 3152, 982, 476, 272, 780, 2162, 1548, 1281, 700, 333, 1611, 538, 2979, 2496, 15238, 568, 519, 2067, 30233, 269, 898, 568, 2845, 547, 519, 3490, 540, 552, 269, 552, 568, 606, 19450, 543, 16637, 1581, 1297, 519, 1101, 1906, 7857, 540, 799, 616, 281, 476, 273, 269, 278, 1240, 27005, 279, 2764, 3393, 280, 1862, 769, 2362, 6128, 519, 2067, 30233, 568, 519, 2845, 602, 568, 2356, 1031, 780, 2162, 2052, 513, 9971, 723, 5609, 543, 5430, 2496, 2791, 666, 1294, 689, 891, 3126, 20073, 687, 602, 972, 666, 581, 1100, 9971, 4082, 585, 5430, 3287, 264, 543, 5609, 3287, 1040, 1403, 972, 941, 267, 602, 9971, 1131, 723, 547, 3160, 519, 3126, 7269, 267, 799, 568, 7543, 780, 2162, 1548, 568, 513, 9971, 1599, 3830, 2496, 288, 9971, 1599, 568, 513, 1599, 602, 3322, 1152, 1875, 24308, 8870, 7060, 610, 1152, 2318, 8870, 23055, 540, 513, 4756, 538, 606, 3830, 899, 519, 13392, 3830, 267, 12945, 3830, 267, 3092, 269, 1280, 1383, 267, 476, 273, 343, 266, 276, 568, 513, 9971, 602, 814, 20800, 3160, 547, 476, 272, 780, 2162, 2052, 513, 9971, 723, 5430, 2496, 1103, 519, 6310, 1016, 26753, 540, 10230, 2079, 543, 6310, 2079, 267, 513, 25066, 9971, 568, 513, 13113, 5276, 4999, 540, 3252, 5609, 3799, 343, 264, 543, 5430, 3799, 343, 264, 609, 562, 2921, 593, 519, 2418, 540, 835, 610, 811, 2067, 2338, 269, 634, 14170, 949, 581, 3144, 607, 1483, 2338, 267, 585, 1483, 29705, 4240, 3252, 780, 2162, 4208, 568, 962, 476, 273, 711, 513, 9971, 2496, 344, 1341, 630, 273, 30819, 264, 666, 581, 2854, 607, 586, 1341, 476, 273, 344, 1700, 272, 1547, 3371, 538, 519, 2034, 2165, 267, 1379, 540, 586, 568, 2942, 543, 2687, 547, 519, 4214, 540, 21335, 267, 585, 513, 3830, 547, 581, 513, 9971, 267, 4110, 814, 547, 581, 2318, 269, 1924, 267, 519, 2016, 3830, 568, 711, 513, 9971, 780, 2162, 1772, 476, 272, 476, 274, 343, 568, 513, 5276, 9971, 2496, 272, 266, 274, 343, 568, 513, 5276, 9971, 780, 2162, 4208, 568, 621, 1572, 23692, 2496, 763, 2067, 2845, 568, 519, 11201, 540, 2073, 513, 16681, 2165, 585, 6587, 269, 24935, 540, 16681, 267, 519, 5824, 2012, 568, 17969, 16443, 2067, 328, 267, 4758, 519, 28008, 23692, 269, 3267, 13071, 721, 11690, 538, 942, 543, 1205, 2208, 269, 2340, 479, 350, 13071, 721, 11690, 538, 2208, 543, 1205, 519, 942, 621, 1131, 1491, 780, 2162, 4208, 568, 23692, 1031, 2496, 1103, 2489, 267, 519, 4082, 700, 8104, 321, 263, 4700, 568, 1031, 547, 20301, 519, 3490, 1532, 30233, 1599, 267, 543, 700, 301, 568, 1031, 585, 519, 2027, 2013, 540, 519, 2067, 2845, 1247, 700, 8104, 568, 1419, 1031, 585, 519, 2027, 2013, 540, 519, 3490, 268, 1015, 2845, 269, 769, 1880, 267, 700, 8104, 1797, 3490, 268, 1015, 2845, 538, 9185, 780, 2162, 1215, 798, 596, 6460, 23692, 547, 2845, 2496, 2414, 6460, 513, 1297, 689, 513, 2067, 547, 513, 1455, 2845, 267, 946, 519, 3830, 267, 23692, 263, 25991, 343, 25991, 264, 815, 2845, 263, 25991, 343, 25991, 264, 21680, 2845, 263, 273, 269, 278, 1240, 2764, 6393, 2162, 2052, 3490, 540, 2845, 581, 1447, 982, 476, 272, 2496, 3383, 476, 271, 267, 476, 272, 267, 543, 1169, 2942, 1297, 6799, 513, 1761, 1966, 607, 519, 3490, 540, 513, 1379, 1599, 269, 1656, 952, 1346, 2338, 666, 1405, 28761, 581, 519, 3490, 540, 513, 1379, 1599, 267, 1287, 789, 849, 666, 1405, 28761, 581, 519, 3490, 540, 513, 30233, 269, 1280, 602, 2601, 267, 649, 1152, 1450, 2318, 2338, 824, 982, 476, 272, 607, 519, 3490, 540, 519, 30233, 780, 2162, 4208, 666, 1405, 23692, 581, 2942, 2496, 763, 2067, 30233, 1599, 23692, 3287, 264, 568, 3989, 1152, 585, 1535, 285, 271, 269, 1924, 519, 2067, 30233, 540, 513, 2942, 1297, 568, 3768, 18249, 269, 634, 1950, 32568, 1599, 8298, 18750, 264, 568, 3989, 585, 2942, 2338, 1932, 780, 2162, 4208, 666, 1405, 513, 30233, 723, 513, 3490, 540, 476, 272, 2496, 8421, 476, 271, 568, 3768, 18249, 269, 898, 781, 711, 513, 1483, 1297, 267, 1317, 596, 666, 2760, 1205, 4642, 676, 9870, 4376, 547, 519, 1379, 540, 4376, 3116, 269, 3267, 2845, 476, 272, 815, 476, 271, 1797 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2146, 269, 0, 288, 2603, 540, 5647, 568, 2469, 593, 538, 1426, 10509, 267, 1818, 1426, 14949, 267, 811, 14312, 267, 1732, 512, 8463, 543, 609, 1447, 5434, 1282, 2504, 269, 3371, 596, 3513, 1265, 4930, 827, 3642, 267, 8596, 543, 14164, 267, 2462, 1239, 267, 3059, 7350, 267, 8856, 8105, 267, 1591, 3766, 3497, 5779, 267, 10648, 302, 543, 12957, 563, 288, 1007, 1353, 814, 1336, 602, 3165, 2713, 538, 6926, 3737, 14147, 18625, 666, 2611, 2959, 3638, 538, 25050, 19153, 269, 901, 2488, 4126, 585, 9381, 2950, 602, 7048, 593, 14147, 18625, 585, 1426, 563, 5804, 513, 3484, 538, 16528, 3911, 18033, 1633, 547, 3165, 14713, 538, 12868, 269, 20917, 5362, 30622, 584, 23264, 339, 568, 476, 2537, 1296, 2025, 855, 814, 2907, 1044, 593, 513, 9735, 7045, 269, 634, 6117, 3196, 568, 2123, 1646, 543, 2870, 1764, 676, 5010, 1944, 513, 1007, 4264, 2029, 585, 3165, 8105, 563, 274, 291, 268, 2745, 539, 1426, 1223, 3142, 1394, 519, 7772, 540, 4189, 585, 4587, 1004, 267, 799, 568, 2404, 609, 1072, 2640, 543, 606, 4824, 2298, 540, 1272, 538, 2489, 563, 288, 1007, 9819, 2203, 666, 3589, 875, 1082, 15708, 972, 616, 538, 1114, 2694, 540, 519, 4104, 563, 1103, 4000, 267, 972, 781, 606, 20882, 547, 1332, 5214, 7031, 269, 30027, 3585, 267, 16789, 569, 26356, 10729, 8764, 919, 519, 3037, 543, 6704, 1216, 269, 30404, 3173, 723, 2097, 909, 609, 28966, 7108, 267, 513, 3070, 547, 1312, 2152, 563, 2026, 851, 540, 3646, 547, 2087, 4398, 543, 2504, 267, 25472, 814, 7550, 12829, 2657, 543, 12829, 11982, 6606, 563, 23178, 4793, 878, 807, 29542, 689, 519, 2160, 540, 5682, 16049, 568, 11021, 513, 1007, 1259, 540, 21365, 1426, 22520, 1107, 513, 2732, 1572, 7909, 21253, 23540, 563, 293, 880, 6659, 593, 5521, 3049, 723, 513, 1454, 2539, 2825, 1764, 982, 3165, 602, 723, 4607, 2757, 3165, 2861, 3049, 269, 0, 20059, 532, 538, 8994, 7482, 568, 835, 540, 519, 1034, 1455, 2409, 540, 10115, 585, 14547, 1004, 543, 5092, 4648, 269, 589, 8994, 2508, 568, 513, 7535, 539, 267, 5781, 16913, 5092, 2508, 602, 20115, 2724, 689, 513, 1297, 540, 9520, 547, 4444, 1585, 19736, 269, 7767, 832, 666, 581, 2901, 12250, 610, 10685, 269, 14066, 12250, 9520, 3335, 723, 741, 1378, 2724, 2359, 13623, 269, 4825, 841, 9520, 2356, 6718, 519, 19736, 689, 513, 1297, 540, 1114, 3549, 538, 513, 11834, 269, 23688, 783, 7482, 616, 1631, 4730, 606, 2810, 1909, 607, 606, 4244, 5092, 1505, 543, 1082, 14547, 2043, 616, 1210, 8994, 7482, 607, 513, 3119, 1797, 540, 10115, 563, 2304, 5413, 540, 1210, 513, 7307, 2508, 568, 602, 972, 616, 2356, 7864, 12375, 543, 862, 3827, 547, 581, 6976, 269, 2494, 3042, 7482, 2356, 1152, 2628, 513, 2359, 13927, 543, 1360, 1970, 11834, 12375, 543, 5934, 15639, 12375, 269, 634, 9614, 540, 519, 2508, 786, 2824, 9541, 799, 616, 13267, 547, 519, 20090, 779, 6859, 269, 1358, 949, 3442, 547, 1902, 538, 513, 2647, 2039, 540, 9541, 971, 607, 13632, 267, 7554, 267, 543, 2724, 2344, 7482, 269, 1879, 519, 14769, 9428, 1932, 1804, 543, 972, 616, 711, 2614, 7482, 547, 1489, 5571, 14769, 2115, 267, 519, 9614, 786, 7485, 7482, 689, 519, 7535, 543, 1902, 873, 538, 824, 4025, 269, 8750, 338, 616, 7307, 676, 3318, 4648, 945, 723, 1296, 540, 1995, 543, 1702, 540, 519, 9541, 563, 300, 583, 783, 7482, 666, 581, 1031, 607, 513, 1907, 585, 2870, 513, 4129, 1881, 14769, 267, 855, 789, 666, 849, 581, 1031, 547, 3274, 1711, 513, 14769, 602, 568, 10930, 982, 513, 2582, 20090, 269, 1323, 1383, 540, 713, 1131, 581, 8380, 782, 540, 707, 9806, 538, 513, 1164, 2132, 267, 1970, 1981, 6125, 2508, 1247, 6028, 519, 6967, 9541, 538, 6666, 269, 1635, 3257, 713, 267, 952, 519, 6125, 1871, 12772, 267, 707, 3854, 7071, 7482, 786, 1869, 7118, 513, 2132, 269, 1403, 596, 1131, 899, 547, 1118, 606, 1256, 10930, 14769, 267, 596, 666, 1039, 824, 2010, 540, 7482, 267, 971, 607, 6666, 1871, 267, 1719, 4747, 610, 2344, 3854, 1436, 563, 20059, 532, 538, 8994, 7482, 666, 849, 1683, 519, 20090, 609, 513, 2631, 540, 6015, 950, 1818, 5092, 3664, 269, 4107, 3318, 9520, 616, 4966, 593, 519, 2344, 543, 786, 946, 713, 1344, 547, 3391, 741, 5092, 3664, 269, 5221, 519, 9614, 568, 2324, 609, 1896, 1114, 5092, 2994, 267, 789, 786, 581, 2111, 547, 1683, 519, 20090, 609, 513, 2039, 540, 3681, 269, 1358, 786, 3335, 581, 16539, 538, 1114, 2010, 540, 7221, 267, 971, 607, 13632, 267, 7554, 267, 543, 2724, 2344, 7482, 269, 634, 9614, 786, 849, 3335, 1331, 513, 12191, 267, 799, 786, 5173, 519, 2104, 2164, 540, 519, 6074, 5092, 4640, 563, 3080, 540, 519, 1292, 4128, 1946, 513, 2508, 20090, 786, 946, 513, 2508, 9614, 568, 1317, 789, 960, 609, 513, 7453, 10697, 2359, 3609, 269, 901, 3609, 786, 6615, 519, 2179, 540, 3854, 12374, 602, 616, 4847, 547, 2049, 269, 1403, 972, 616, 1022, 12374, 267, 789, 616, 2356, 2838, 547, 581, 4080, 607, 513, 1283, 1899, 2557, 269, 2353, 12374, 1058, 581, 4080, 5612, 267, 2705, 1507, 789, 949, 581, 269, 1306, 513, 1267, 267, 596, 666, 581, 21407, 602, 519, 12374, 616, 693, 513, 5934, 563, 20059, 532, 538, 8994, 7482, 568, 513, 1390, 1259, 585, 596, 547, 3489, 513, 1434, 2557, 540, 2132, 269, 901, 1826, 540, 5092, 568, 711, 1318, 585, 3025, 267, 1498, 269, 6969, 10115, 538, 891, 7482, 267, 596, 1058, 1491, 6006, 540, 707, 1378, 2883, 3510, 543, 3313, 2436, 610, 711, 713, 568, 519, 1318, 4781, 585, 596, 269, 1703, 616, 1082, 5383, 547, 10115, 538, 891, 2010, 540, 7482, 267, 855, 596, 991, 547, 581, 2386, 602, 519, 4220, 616, 1134, 6956, 269, 0, 299, 8016, 3201, 27483, 295, 3036, 296, 25765, 269, 7813, 619, 616, 1419, 12912, 547, 581, 14951, 3464, 585, 10871, 8191, 885, 269, 634, 12948, 2272, 1058, 581, 538, 519, 14951, 337, 781, 2012, 267, 552, 3052, 269, 834, 3627, 9466, 267, 7066, 5501, 337, 540, 519, 15050, 2103, 540, 519, 18648, 540, 3751, 332, 3233, 5742, 2437, 543, 519, 9753, 585, 8569, 1058, 581, 6537, 676, 519, 10871, 16958, 2390, 519, 14951, 337, 267, 543, 711, 2390, 519, 4871, 1141, 646, 8952, 519, 2272, 563, 763, 645, 1571, 540, 16510, 2920, 267, 476, 6642, 273, 267, 8791, 476, 10463, 267, 11225, 513, 1750, 4302, 607, 834, 513, 3915, 540, 5385, 6537, 593, 513, 4871, 518, 2628, 762, 593, 3747, 2437, 855, 607, 891, 9753, 616, 6537, 2390, 519, 14951, 337, 607, 606, 1367, 621, 1131, 2408, 602, 789, 616, 711, 1750, 13196, 269, 543, 267, 4061, 269, 602, 519, 4027, 6488, 539, 676, 8791, 476, 2568, 540, 519, 645, 1571, 540, 16510, 2920, 269, 476, 6642, 273, 269, 547, 519, 9878, 4871, 518, 1996, 585, 3022, 967, 16017, 906, 1281, 711, 8831, 547, 873, 6902, 543, 2417, 602, 267, 711, 1373, 1750, 13196, 267, 789, 3112, 581, 4570, 569, 18084, 269, 2368, 8128, 267, 2705, 267, 2015, 602, 519, 9753, 1498, 6537, 267, 538, 1106, 267, 2390, 519, 14951, 337, 267, 616, 18374, 6537, 2390, 519, 4871, 1141, 646, 8952, 1010, 2272, 269, 1403, 713, 568, 519, 2953, 2070, 267, 1287, 789, 2097, 1369, 519, 14074, 540, 519, 645, 1571, 540, 16510, 2920, 269, 769, 519, 2013, 540, 16199, 604, 1314, 5742, 642, 269, 24933, 342, 2431, 630, 6942, 276, 267, 700, 10611, 269, 476, 1015, 1401, 269, 476, 8146, 1070, 1141, 519, 14951, 337, 1185, 6976, 9753, 12946, 585, 3022, 967, 16017, 906, 267, 621, 729, 4371, 602, 519, 4871, 729, 6870, 676, 8791, 476, 866, 540, 519, 853, 2086, 2920, 267, 476, 272, 306, 7871, 269, 630, 8450, 602, 8791, 896, 667, 6938, 10499, 10396, 667, 4932, 13263, 4700, 634, 9753, 616, 267, 899, 1750, 13196, 267, 1641, 547, 519, 512, 2086, 10279, 540, 835, 29784, 630, 4089, 476, 3953, 267, 853, 2086, 2920, 267, 476, 6245, 1556, 267, 4849, 538, 519, 2013, 540, 9753, 6537, 676, 519, 15050, 2103, 540, 519, 18648, 563, 1103, 2665, 1141, 519, 16010, 9730, 6494, 547, 519, 4871, 518, 610, 14951, 337, 513, 1592, 540, 519, 7606, 547, 7247, 9753, 723, 1044, 9783, 267, 543, 547, 7247, 11033, 616, 547, 581, 1500, 2390, 6881, 540, 519, 9753, 267, 19280, 519, 14951, 337, 547, 1118, 971, 11033, 267, 519, 8274, 540, 769, 1633, 28521, 1533, 602, 513, 29784, 16826, 568, 2838, 538, 2463, 540, 1142, 2628, 2465, 781, 2012, 2390, 519, 1592, 269, 630, 8450, 519, 1325, 514, 1393, 540, 519, 8274, 267, 896, 2376, 595, 4047, 5226, 292, 4700, 769, 661, 269, 808, 269, 715, 12245, 21884, 781, 11000, 593, 10871, 6554, 8191, 621, 625, 630, 5408, 834, 4750, 540, 519, 4659, 540, 7813, 619, 2437, 2019, 269, 476, 2918, 267, 533, 269, 476, 10082, 1070, 621, 568, 7150, 602, 513, 6571, 538, 519, 1739, 1106, 568, 711, 9833, 676, 519, 769, 1633, 28521, 8191, 885, 607, 1373, 1641, 547, 519, 1657, 268, 20197, 16826, 10279, 2433, 834, 6546, 513, 3948, 540, 519, 1739, 6589, 581, 9896, 676, 1614, 2818, 540, 519, 16010, 9730, 1459, 693, 713, 5870, 543, 27669, 11220, 676, 519, 4884, 804, 17064, 267, 543, 581, 10299, 547, 519, 14951, 337, 609, 606, 1931, 547, 2628, 1750, 13196, 585, 519, 5666, 9138, 538, 971, 3948, 267, 593, 971, 1750, 13196, 1373, 4843, 547, 1864, 4799, 4415, 2463, 547, 519, 24228, 7060, 540, 513, 10871, 16958, 267, 621, 568, 2556, 547, 23754, 689, 519, 29417, 267, 896, 799, 519, 1379, 538, 1022, 1880, 2013, 568, 14931, 267, 2436, 519, 7254, 794, 540, 519, 10871, 6554, 8274, 610, 824, 6554, 4972, 568, 2556, 1354, 519, 1379, 547, 10210, 666, 581, 27361, 267, 543, 267, 952, 519, 16958, 814, 519, 2556, 27152, 1379, 267, 2390, 1018, 1880, 2508, 267, 610, 2557, 267, 3354, 1590, 581, 2016, 563, 2252, 606, 16958, 267, 1510, 1379, 610, 7254, 794, 547, 10210, 267, 936, 9526, 338, 519, 4871, 2272, 267, 519, 1719, 2390, 971, 22536, 2761, 630, 604, 711, 9833, 676, 519, 4871, 518, 607, 1373, 4988, 676, 519, 1719, 2390, 519, 5491, 3666, 693, 824, 2053, 264, 786, 711, 581, 513, 3656, 5279, 1996, 519, 16958, 267, 543, 949, 581, 771, 9994, 539, 676, 519, 6554, 10748, 3218, 269, 634, 10871, 5041, 6497, 8274, 723, 1379, 267, 2705, 267, 547, 1450, 513, 2040, 267, 5265, 771, 9994, 539, 676, 519, 10748, 6002, 267, 952, 538, 519, 6644, 540, 519, 8274, 621, 568, 12581, 602, 971, 27108, 1058, 581, 1121, 26860, 563, 2005, 1058, 581, 7074, 602, 2724, 22666, 896, 519, 14074, 540, 1022, 1880, 2920, 1590, 581, 17956, 538, 13076, 609, 602, 2920, 269, 769, 1234, 343, 642, 269, 28676, 267, 608, 851, 324, 20710, 2471, 630, 4489, 271, 267, 476, 273, 918, 269, 645, 269, 476, 1001, 264, 1141, 513, 15278, 630, 8974, 519, 1008, 328, 521, 687, 1993, 519, 5398, 2657, 2920, 267, 476, 6942, 276, 264, 22666, 2724, 689, 513, 4871, 1510, 4758, 1697, 3354, 543, 519, 1719, 729, 1147, 12737, 539, 676, 519, 10748, 3218, 1317, 519, 3354, 1185, 711, 1044, 2016, 267, 7083, 1325, 591, 7723, 1767, 2433, 834, 1403, 519, 11834, 1843, 539, 547, 729, 8806, 519, 2628, 6497, 540, 1719, 2390, 930, 10151, 10211, 5833, 585, 10151, 5301, 2394, 824, 2724, 32737, 267, 585, 3236, 267, 3928, 610, 544, 821, 903, 8815, 547, 581, 4359, 1765, 26200, 538, 1249, 556, 2781, 1882, 267, 649, 3858, 602, 621, 1522, 711, 581, 683, 806, 521, 776, 896, 971, 6381, 585, 519, 2199, 6392, 547, 2285, 3354, 1701, 898, 729, 4371, 267, 2705, 267, 602, 519, 2013, 7902, 547, 581, 834, 606, 3635, 540, 24228, 7060, 585, 519, 3483, 540, 8628, 12029, 547, 581, 1065, 4660, 676, 1128, 531, 544, 757, 1701, 634, 9844, 540, 519, 10871, 5041, 6497, 8274, 834, 1281, 711, 8806, 4125, 519, 9844, 547, 519, 10211, 267, 855, 606, 13170, 540, 519, 1259, 538, 799, 519, 10211, 568, 547, 581, 17956, 2687, 547, 519, 2920, 540, 12057, 896, 799, 519, 19736, 616, 9783, 1701, 634, 2628, 6497, 540, 1719, 547, 519, 4871, 538, 2463, 540, 519, 12029, 1500, 676, 519, 4871, 267, 585, 799, 1100, 3354, 1185, 1044, 9783, 267, 729, 4371, 711, 547, 581, 513, 3656, 8569, 269, 0, 288, 6588, 10783, 910, 808, 1695, 836, 21105, 10067, 531, 267, 3397, 571, 267, 31579, 541, 21423, 267, 3127, 910, 589, 2622, 11595 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2835, 950, 596, 1101, 2253, 32059, 543, 946, 621, 607, 513, 4704, 2429, 707, 18954, 3460, 269, 17859, 540, 875, 1279, 596, 18954, 267, 596, 786, 2141, 723, 22027, 543, 2055, 827, 875, 707, 1126, 568, 7900, 6993, 9165, 543, 5311, 1433, 666, 2322, 707, 2247, 693, 8897, 269, 4495, 596, 723, 513, 9165, 543, 5311, 1433, 267, 1118, 513, 1592, 540, 1142, 1858, 538, 2979, 602, 646, 2115, 547, 960, 593, 585, 519, 1153, 1032, 269, 1280, 1383, 585, 9344, 1614, 543, 2185, 267, 676, 519, 1439, 540, 519, 1032, 538, 12408, 267, 707, 1126, 1058, 581, 2111, 547, 281, 4194, 7299, 543, 8880, 19106, 2042, 267, 2689, 12408, 540, 476, 273, 2338, 4171, 18304, 1131, 581, 476, 1240, 610, 1447, 267, 10208, 476, 272, 268, 610, 476, 273, 18251, 1297, 689, 513, 476, 273, 18251, 1297, 609, 270, 23719, 15646, 5446, 267, 10208, 476, 272, 19985, 476, 273, 19985, 610, 476, 274, 18251, 2338, 689, 476, 274, 268, 543, 476, 275, 18251, 1297, 609, 270, 23719, 15646, 5446, 267, 10208, 476, 272, 19985, 476, 273, 19985, 476, 274, 19985, 476, 275, 19985, 610, 476, 276, 18251, 1297, 689, 513, 476, 276, 18251, 1297, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 1488, 628, 1787, 10275, 4157, 29411, 3896, 602, 568, 711, 1488, 628, 1787, 10275, 4157, 29411, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 1488, 628, 1787, 10275, 4157, 29411, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 272, 1488, 628, 1787, 10275, 4157, 29411, 269, 2353, 7126, 27616, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 270, 1001, 272, 270, 5400, 270, 24108, 1790, 739, 11258, 476, 585, 948, 454, 258, 5225, 2638, 3758, 3635, 1556, 19638, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 7173, 22561, 267, 1985, 318, 284, 14085, 2187, 1038, 1582, 14857, 2181, 341, 815, 7173, 454, 1038, 1582, 14857, 10113, 815, 1985, 318, 692, 825, 1219, 1305, 318, 10113, 4311, 267, 1985, 318, 2187, 1038, 1582, 14857, 10113, 815, 1985, 318, 692, 825, 1219, 1305, 318, 2181, 341, 4311, 267, 7173, 2187, 1038, 1582, 14857, 2181, 341, 815, 7173, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 27250, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 4429, 692, 5035, 21912, 8266, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 9136, 22561, 2187, 1038, 952, 9136, 568, 7183, 912, 2018, 1582, 23584, 815, 7183, 454, 2018, 1582, 6745, 841, 815, 7183, 454, 1038, 8640, 568, 27349, 3799, 3941, 267, 19219, 2187, 2018, 1582, 23584, 815, 9136, 454, 2018, 1582, 6745, 841, 815, 9136, 454, 1038, 8640, 568, 27349, 3799, 3941, 267, 1592, 2187, 2018, 1582, 23584, 815, 9136, 314, 271, 2639, 2018, 1582, 6745, 841, 815, 9136, 15631, 272, 2639, 2018, 1582, 7456, 22075, 5332, 3941, 3799, 3941, 2020, 825, 1219, 5532, 5332, 3941, 630, 1345, 267, 9136, 2187, 1038, 9136, 314, 271, 4940, 3553, 318, 2181, 341, 3799, 3941, 15631, 272, 7481, 1038, 9136, 314, 271, 4940, 3553, 318, 10113, 3799, 3941, 314, 272, 20285, 1038, 585, 1775, 538, 2039, 630, 272, 267, 7003, 3799, 3941, 264, 910, 476, 272, 2187, 2018, 9136, 5157, 4940, 3553, 318, 2181, 341, 3799, 3941, 5157, 268, 272, 7481, 2018, 9136, 5157, 4940, 3553, 318, 10113, 3799, 3941, 5157, 1341, 476, 272, 20285, 1038, 9136, 15631, 272, 4940, 3553, 318, 2181, 341, 3799, 3941, 15631, 273, 7481, 1038, 9136, 15631, 272, 4940, 3553, 318, 10113, 3799, 3941, 314, 271, 316, 9239, 825, 1219, 7696, 4311, 267, 6843, 267, 4994, 284, 271, 2187, 1038, 23288, 1038, 23453, 19219, 547, 1022, 1747, 540, 21912, 8266, 454, 1038, 6843, 910, 19219, 454, 1038, 4994, 910, 2990, 540, 6843, 454, 1038, 23288, 1038, 27250, 825, 1219, 16289, 4311, 267, 6843, 2187, 1038, 23288, 1038, 2561, 754, 19219, 547, 2766, 540, 21912, 8266, 454, 1038, 6843, 910, 19219, 454, 1038, 23288, 1038, 27250, 825, 1219, 2312, 4311, 2187, 1038, 23288, 1038, 13068, 21912, 8266, 454, 1038, 23288, 1038, 27250, 825, 1219, 1265, 4311, 267, 6843, 2187, 1038, 27250, 825, 1219, 4894, 4311, 267, 6843, 2187, 1038, 27250, 825, 1219, 18419, 4311, 267, 4994, 2187, 1038, 4429, 19638, 19638, 19638, 19638, 19638, 19638, 0, 3698, 13074, 5334, 889, 25659, 30308, 5334, 331, 823, 29495, 2187, 825, 834, 27987, 630, 328, 25814, 264, 971, 602, 1257, 5157, 281, 329, 316, 568, 519, 13074, 5493, 30308, 538, 1257, 4799, 825, 952, 1257, 2652, 1412, 9166, 2132, 630, 271, 267, 271, 2020, 825, 1219, 3259, 4433, 331, 823, 2567, 513, 14720, 815, 20105, 282, 2132, 536, 8584, 692, 825, 10457, 815, 1496, 326, 992, 29495, 267, 1376, 267, 1439, 994, 7386, 585, 1376, 538, 2039, 12759, 29495, 4917, 7386, 585, 1439, 538, 630, 11034, 267, 1376, 266, 272, 264, 6540, 825, 2132, 3193, 6262, 663, 573, 919, 267, 1883, 284, 26319, 2020, 3698, 1332, 29495, 267, 1376, 267, 1439, 2187, 825, 834, 9359, 609, 513, 476, 271, 268, 610, 476, 272, 268, 3259, 5493, 30308, 282, 2119, 547, 1332, 513, 8273, 835, 3010, 825, 1247, 630, 11034, 3436, 476, 271, 543, 1439, 2999, 7003, 29495, 994, 2018, 543, 1257, 314, 11034, 268, 272, 4940, 21639, 3890, 2652, 1257, 314, 754, 4940, 21639, 3890, 2187, 1038, 1376, 20699, 476, 272, 282, 1439, 6834, 476, 272, 692, 825, 2132, 630, 11034, 267, 1439, 2020, 3698, 1449, 10031, 825, 700, 815, 13074, 5334, 889, 25659, 30308, 5334, 331, 823, 454, 825, 7682, 700, 3488, 15869, 8364, 10807, 2652, 700, 3488, 305, 864, 8364, 10807, 2652, 700, 3488, 305, 864, 8364, 311, 10807, 2652, 630, 271, 267, 476, 278, 994, 825, 1820, 2891, 5472, 1449, 2665, 1780, 10590, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 11687, 4590, 12828, 912, 13537, 2891, 17387, 532, 14307, 6449, 4067, 1029, 267, 834, 1862, 291, 821, 32405, 0, 9690, 318, 639, 1716, 1868, 815, 22373, 611, 2381, 2580, 834, 341, 273, 742, 339, 321, 2580, 834, 2704, 328, 2580, 834, 305, 889, 629, 2580, 834, 301, 1177, 531, 19312, 5897, 258, 476, 276, 268, 279, 26250, 1169, 21189, 269, 2368, 835, 3118, 267, 519, 1866, 519, 824, 3118, 1477, 1721, 513, 538, 1699, 318, 639, 1716, 1868, 6769, 825, 27024, 815, 3403, 2891, 11767, 27024, 281, 834, 3418, 825, 952, 27024, 2652, 834, 611, 2381, 257, 6769, 1038, 1820, 2891, 15916, 14721, 267, 1131, 596, 899, 513, 1867, 8119, 3418, 1038, 2736, 1477, 825, 8640, 27024, 538, 1699, 318, 639, 1716, 1868, 6769, 1038, 1820, 6600, 257, 8702, 1394, 2715, 639, 20713, 20467, 1215, 666, 594, 1118, 707, 1158, 2653, 585, 596, 2221, 8119, 3418, 1038, 2736, 1477, 825, 3116, 6769, 1038, 1820, 2891, 1607, 27024, 568, 711, 10805, 14744, 5897, 258, 268, 276, 268, 280, 6494, 513, 5048, 952, 972, 568, 4986, 538, 476, 513, 1592, 1477, 258, 1247, 1699, 318, 639, 1716, 1868, 6769, 258, 672, 1699, 318, 639, 1716, 1868, 21014, 14052, 258, 952, 1699, 318, 639, 1716, 1868, 2652, 32582, 6769, 258, 672, 1820, 263, 9690, 318, 639, 1716, 1868, 3418, 258, 672, 1820, 2891, 2171, 991, 811, 3755, 257, 10142, 258, 476, 276, 268, 1015, 6744, 532, 721, 1716, 1868, 1477, 2908, 318, 22852, 815, 22373, 3412, 611, 2580, 834, 291, 4314, 2580, 834, 2704, 328, 2580, 834, 301, 1177, 531, 2580, 834, 308, 1067, 257, 15947, 1721, 513, 538, 1007, 318, 22852, 6769, 825, 952, 513, 538, 1699, 318, 639, 1716, 1868, 6769, 1038, 1820, 5416, 267, 834, 568, 711, 2139, 267, 5225, 4283, 513, 1114, 2012, 14744, 825, 3116, 281, 21506, 1038, 1820, 5416, 267, 834, 27024, 568, 2139, 8442, 0, 5814, 4351, 454, 337, 815, 4351, 20120, 9792, 263, 272, 267, 476, 1911, 271, 994, 258, 476, 13644, 371, 418, 504, 480, 28793, 417, 10191, 419, 499, 354, 23284, 31968, 4970, 353, 9463, 354, 7511, 31308, 509, 419, 494, 484, 8147, 9463, 359, 421, 506, 478, 28884, 29072, 25335, 352, 10429, 370, 14756, 497, 31563, 16088, 454, 258, 13127, 376, 499, 24662, 421, 504, 493, 10951, 374, 12255, 8147, 26033, 490, 12571, 492, 8147, 30006, 493, 418, 361, 350, 19867, 356, 27310, 7511, 28793, 22390, 503, 8147, 337, 476, 7511, 29219, 21251, 12571, 490, 692, 604, 678, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 16868, 267, 1412, 529, 1256, 269, 5073, 12828, 912, 825, 1820, 16868, 267, 1412, 529, 9642, 269, 5073, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 26026, 1941, 607, 521, 985, 454, 5814, 21267, 28272, 607, 12301, 692, 18411, 31262, 25779, 281, 13340, 7120, 782, 476, 5780, 2934, 454, 31262, 18452, 281, 17093, 281, 3568, 6003, 543, 2934, 454, 18257, 692, 3698, 4216, 7120, 6958, 324, 2137, 29254, 2187, 825, 2934, 815, 17093, 6155, 1886, 3488, 299, 8475, 3299, 7852, 284, 272, 994, 825, 2934, 12173, 815, 2934, 31815, 8435, 22562, 825, 4453, 267, 4949, 815, 12301, 16553, 30831, 263, 274, 267, 476, 272, 267, 4453, 21653, 14352, 3393, 267, 1789, 4917, 8931, 825, 575, 272, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 11468, 2420, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 271, 7481, 825, 575, 272, 15630, 318, 868, 1157, 18350, 1564, 14116, 272, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 11850, 8931, 825, 575, 273, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 314, 2420, 281, 4510, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 272, 7481, 825, 575, 273, 15630, 318, 868, 1157, 18350, 1564, 14116, 273, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 11850, 8931, 825, 575, 274, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 314, 4510, 281, 5780, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 273, 7481, 825, 575, 274, 15630, 318, 868, 1157, 18350, 1564, 14116, 274, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 5148, 0, 5035, 13793, 2006, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 7456, 1161, 815, 476, 274, 454, 1038, 1582, 8807, 284, 1930, 2891, 5320, 17902, 5602, 1038, 1582, 269, 5320, 815, 1582, 8807, 18667, 14061, 337, 29328, 14061, 12294, 4590, 1038, 1582, 269, 8145, 8724, 815, 7003, 4311, 269, 5320, 264, 1948, 6967, 1297, 540, 1913, 269, 13242, 547, 2638, 952, 3014, 568, 4465, 454, 1038, 1582, 269, 5891, 815, 11713, 1038, 1582, 269, 4310, 815, 32582, 1948, 9293, 649, 723, 1031, 454, 1038, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 2018, 1582, 269, 5891, 6910, 2891, 318, 15419, 825, 1219, 1397, 26077, 4311, 2187, 1038, 1820, 2891, 299, 1161, 24333, 1582, 7456, 1161, 994, 1038, 1820, 2891, 4131, 1562, 31665, 24333, 834, 2668, 21860, 4311, 269, 4310, 4917, 1038, 1820, 2891, 17504, 865, 2484, 24333, 834, 2668, 21860, 4311, 269, 5891, 11723, 825, 1219, 2490, 4311, 2187, 1038, 1582, 20481, 26077, 4590, 1038, 1582, 3052, 340, 612, 815, 3403, 2891, 11767, 513, 4484, 281, 834, 25011, 271, 4940, 12294, 4590, 1038, 952, 630, 1345, 3052, 340, 612, 538, 1582, 269, 5320, 2187, 2018, 1820, 2891, 28557, 5602, 2018, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 3546, 952, 1582, 269, 5320, 5157, 316, 2652, 1582, 3052, 340, 612, 912, 4449, 567, 1582, 269, 8145, 8724, 815, 1582, 269, 8145, 8724, 910, 476, 272, 454, 4449, 567, 1582, 269, 5891, 5157, 316, 815, 1582, 3052, 340, 612, 454, 1038, 3116, 912, 2018, 1820, 2891, 18823, 8091, 5602, 2018, 1948, 26303, 5022, 31665, 454, 2018, 952, 1582, 3052, 340, 612, 711, 538, 1582, 269, 4310, 912, 3546, 1582, 269, 4310, 6910, 4311, 3052, 340, 612, 994, 3546, 1582, 7456, 1161, 815, 1582, 7456, 1161, 910, 476, 272, 692, 825, 1219, 3014, 4311, 2187, 1038, 1582, 269, 2452, 532, 815, 6936, 454, 1038, 1247, 1582, 269, 2452, 532, 912, 2018, 952, 1582, 7456, 1161, 2652, 476, 271, 912, 3546, 1820, 2891, 29228, 936, 32405, 3546, 1582, 269, 2452, 532, 815, 8771, 3248, 2018, 8640, 1582, 269, 8145, 8724, 2652, 476, 271, 912, 3546, 1820, 2891, 2791, 3094, 32405, 3546, 1582, 269, 2452, 532, 815, 8771, 3248, 2018, 3116, 912, 3546, 1582, 6745, 1248, 10797, 327, 815, 13793, 2006, 4590, 327, 3052, 877, 10797, 692, 0, 12163, 476, 606, 6388, 540, 513, 979, 6149, 912, 825, 609, 10305, 912, 8587, 910, 1847, 1297, 454, 8587, 910, 2681, 454, 8587, 910, 2990, 1496, 343, 11971, 267, 345, 2639, 20701, 5035, 12942, 1384, 825, 1847, 20311, 22562, 258, 2681, 568, 2356, 1412, 14937, 262, 610, 1412, 19669, 7055, 825, 2681, 454, 825, 2990, 692, 825, 1219, 6449, 8181, 9191, 1345, 19885, 22698, 28872, 2187, 1038, 1582, 6230, 913, 20311, 284, 333, 454, 1038, 1582, 269, 10233, 284, 322, 454, 1038, 1582, 269, 6570, 284, 335, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 588, 6889, 332, 913, 834, 266, 1598, 9852, 913, 20311, 11924, 257, 676, 834, 266, 10233, 266, 257, 693, 257, 266, 1598, 263, 6570, 11924, 3269, 266, 1598, 263, 10233, 11924, 454, 1038, 2132, 588, 692, 825, 1219, 1205, 8548, 913, 10031, 1038, 2132, 1847, 20311, 692, 825, 1219, 1205, 318, 10233, 10031, 1038, 2132, 2681, 692, 825, 1219, 1205, 318, 6570, 10031, 1038, 2132, 2990, 692, 258, 661, 29996, 454, 0, 12163, 476, 606, 6388, 540, 513, 979, 6149, 912, 825, 609, 10305, 912, 8587, 910, 1847, 1297, 454, 8587, 910, 2681, 454, 8587, 910, 2990, 1496, 343, 11971, 267, 345, 2639, 20701, 5035, 12942, 1384, 825, 1847, 20311, 22561, 22562, 258, 2681, 568, 2356, 1412, 14937, 262, 610, 1412, 19669, 7055, 825, 2681, 22561, 22562, 825, 1948, 519, 2990, 568, 513, 6152, 630, 514, 476, 273, 291, 610, 476, 274, 291, 994, 825, 2990, 22561, 22562, 825, 834, 24554, 513, 1007, 6149, 609, 281, 562, 281, 1847, 1297, 267, 524, 281, 2681, 630, 14937, 610, 6519, 1070, 533, 281, 2990, 6152, 3010, 825, 1219, 6449, 8181, 9191, 1345, 19885, 22698, 28872, 2187, 1038, 1582, 6230, 913, 20311, 284, 333, 454, 1038, 1582, 269, 10233, 284 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 525, 692, 25111, 281, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 4692, 596, 10726, 28522, 4445, 538, 713, 2241, 18062, 3014, 286, 2052, 596, 4137, 856, 28522, 4445, 781, 4640, 267, 543, 568, 972, 513, 1732, 835, 2496, 293, 2393, 4252, 2622, 19067, 29896, 692, 25111, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 13004, 2861, 25624, 2622, 19067, 11191, 585, 3610, 543, 1053, 547, 946, 780, 2791, 8550, 5192, 513, 14520, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 13142, 12340, 14659, 602, 513, 3670, 2501, 909, 1447, 1419, 982, 519, 824, 2338, 593, 519, 18062, 269, 5620, 513, 1413, 693, 519, 2164, 540, 519, 1449, 1010, 1362, 1705, 547, 1294, 952, 646, 729, 1318, 780, 1805, 641, 610, 667, 732, 692, 25111, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 5472, 596, 991, 585, 713, 3014, 568, 513, 3640, 540, 6486, 269, 2755, 596, 1404, 519, 3014, 267, 1589, 827, 2994, 602, 786, 2333, 707, 8458, 540, 10888, 780, 763, 2961, 2334, 10426, 525, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1432, 6898, 666, 596, 1118, 827, 519, 1286, 602, 10596, 519, 1153, 19235, 693, 476, 1556, 600, 593, 11728, 286, 1215, 786, 596, 2097, 909, 609, 6898, 543, 1449, 707, 2093, 2496, 305, 3326, 1452, 667, 823, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 305, 3326, 1079, 2699, 18062, 543, 513, 3039, 18062, 269, 5410, 519, 1079, 2338, 593, 519, 2699, 18062, 543, 1491, 2476, 519, 1297, 593, 519, 3039, 269, 1548, 616, 782, 519, 1114, 7399, 602, 1223, 2097, 909, 2496, 2005, 781, 513, 570, 773, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 298, 320, 807, 568, 2386, 602, 1200, 4651, 814, 12816, 513, 1880, 17063, 7466, 513, 3018, 538, 693, 2547, 2947, 540, 519, 2063, 4557, 4374, 267, 855, 1200, 4651, 9969, 4181, 269, 5808, 798, 596, 1589, 568, 1318, 2496, 1103, 519, 7591, 3033, 692, 25111, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 1432, 666, 596, 2161, 827, 519, 1126, 945, 786, 581, 1101, 593, 519, 19209, 14182, 6640, 693, 2736, 5503, 538, 707, 1153, 2496, 310, 15619, 519, 20769, 6670, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 2521, 856, 519, 13169, 602, 568, 5129, 538, 513, 2484, 268, 12537, 2244, 269, 1548, 568, 519, 4960, 540, 10888, 2496, 306, 1539, 762, 21998, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 31161, 707, 27669, 998, 713, 13131, 540, 6486, 543, 1294, 875, 2484, 596, 666, 979, 269, 3657, 596, 14281, 676, 1141, 596, 1439, 909, 2496, 302, 323, 1091, 610, 14520, 525, 2496, 25111, 281, 476, 273, 7420, 5426, 1384, 8196, 519, 2170, 2032, 610, 1404, 713, 18062, 3014, 3054, 269, 1215, 1223, 596, 1118, 621, 4023, 2496, 290, 657, 344, 4856, 1676, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 306, 1460, 11084, 540, 1585, 15437, 616, 14477, 695, 2586, 883, 513, 2468, 836, 331, 983, 11460, 269, 1548, 568, 519, 5506, 540, 2348, 693, 2547, 835, 2699, 538, 519, 7944, 2496, 10521, 781, 7577, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 278, 11084, 616, 695, 2586, 538, 513, 8708, 269, 1411, 3094, 952, 519, 1079, 4544, 11084, 5905, 269, 1548, 568, 519, 5506, 540, 10888, 2496, 307, 4459, 344, 25397, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 3014, 596, 12235, 1079, 18062, 543, 1265, 741, 2698, 267, 1287, 1847, 519, 3617, 4831, 547, 519, 1318, 269, 6904, 4831, 10301, 519, 13711, 4216, 1101, 286, 1772, 713, 1018, 596, 1131, 2503, 2496, 763, 3828, 10679, 8672, 539, 10060, 10794, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 5970, 513, 979, 693, 713, 3014, 799, 3322, 18530, 1079, 18062, 543, 4946, 741, 9103, 1023, 269, 7316, 1058, 596, 1747, 707, 27669, 547, 581, 811, 2693, 547, 3094, 2496, 302, 323, 1091, 543, 5345, 839, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 3674, 713, 513, 4023, 3014, 286, 1215, 1082, 2081, 616, 972, 540, 2870, 513, 4023, 3014, 676, 4946, 9642, 543, 1256, 2338, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23336, 311, 307, 335, 292, 339, 10817, 304, 323, 276, 326, 313, 300, 294, 308, 19199, 336, 313, 296, 274, 307, 5263, 6872, 290, 617, 331, 330, 297, 273, 23218, 329, 303, 4962, 337, 336, 2207, 288, 274, 300, 343, 337, 291, 985, 278, 304, 8582, 273, 298, 328, 289, 323, 266, 328, 296, 271, 294, 325, 291, 327, 19072, 320, 313, 335, 273, 338, 310, 21147, 345, 274, 270, 345, 276, 24426, 16775, 3534, 304, 289, 293, 337, 341, 313, 310, 278, 3913, 312, 30470, 298, 4343, 11902, 298, 293, 329, 280, 293, 343, 301, 2763, 7374, 339, 329, 298, 332, 6246, 15238, 280, 332, 298, 335, 13585, 297, 10258, 11770, 342, 332, 309, 341, 274, 292, 313, 7582, 275, 338, 325, 12858, 290, 328, 277, 306, 572, 329, 290, 321, 327, 25539, 270, 266, 295, 313, 14623, 305, 311, 309, 9915, 280, 342, 343, 12788, 342, 306, 297, 296, 310, 14701, 313, 312, 327, 6579, 329, 278, 6630, 309, 320, 280, 324, 311, 309, 294, 345, 342, 302, 4353, 777, 311, 273, 293, 343, 341, 303, 279, 266, 307, 297, 345, 306, 336, 325, 1097, 271, 297, 307, 333, 329, 276, 305, 26501, 345, 335, 270, 309, 344, 19199, 280, 297, 341, 325, 295, 343, 326, 3036, 333, 297, 321, 341, 297, 280, 328, 306, 1442, 288, 277, 320, 5425, 266, 324, 301, 7830, 321, 307, 572, 23682, 341, 5055, 2252, 329, 343, 275, 266, 276, 321, 305, 342, 292, 336, 1626, 7582, 334, 309, 298, 333, 337, 278, 4510, 330, 1575, 308, 31343, 2767, 304, 289, 16576, 304, 310, 278, 311, 13748, 321, 274, 337, 1704, 301, 278, 294, 311, 2793, 330, 303, 280, 293, 280, 308, 329, 292, 273, 526, 311, 288, 277, 6062, 294, 301, 327, 342, 337, 304, 310, 304, 280, 332, 29764, 293, 323, 310, 272, 304, 333, 276, 20062, 3873, 290, 323, 296, 270, 336, 291, 336, 23336, 304, 6434, 304, 344, 299, 300, 274, 313, 328, 296, 2005, 300, 4047, 271, 290, 313, 338, 31159, 294, 301, 337, 307, 289, 341, 338, 879, 13624, 334, 289, 280, 328, 266, 304, 313, 308, 336, 325, 270, 275, 290, 857, 343, 10468, 10976, 2969, 304, 345, 7704, 18933, 288, 278, 28384, 334, 271, 310, 298, 276, 337, 309, 7597, 332, 11803, 328, 291, 22849, 874, 303, 690, 301, 7288, 300, 311, 307, 308, 324, 304, 330, 298, 345, 9188, 273, 1030, 324, 1506, 340, 1111, 266, 6311, 297, 297, 3201, 270, 21589, 26214, 273, 289, 339, 291, 275, 9169, 337, 298, 337, 343, 313, 2704, 336, 273, 321, 298, 331, 321, 18128, 304, 321, 329, 327, 330, 296, 274, 321, 342, 297, 313, 8967, 291, 304, 337, 297, 299, 333, 298, 309, 299, 304, 280, 14654, 292, 334, 2419, 280, 328, 306, 279, 301, 277, 339, 310, 337, 313, 321, 293, 990, 273, 313, 313, 345, 333, 273, 313, 6187, 684, 321, 304, 311, 343, 273, 294, 342, 309, 273, 293, 4629, 706, 342, 312, 320, 303, 311, 321, 288, 302, 323, 326, 278, 343, 332, 10387, 290, 326, 271, 11305, 304, 280, 332, 343, 295, 310, 13510, 295, 2918, 313, 294, 326, 31323, 277, 329, 335, 277, 321, 341, 6349, 342, 275, 8619, 305, 305, 335, 278, 330, 321, 313, 7830, 343, 279, 295, 275, 327, 597, 14623, 9331, 16281, 323, 297, 341, 325, 273, 320, 10774, 335, 271, 343, 276, 331, 290, 24688, 18510, 320, 312, 329, 312, 15605, 291, 271, 288, 278, 313, 9143, 303, 26404, 300, 293, 336, 337, 312, 325, 296, 334, 22473, 322, 7419, 274, 342, 345, 304, 279, 324, 300, 333, 296, 331, 298, 300, 335, 295, 293, 320, 309, 334, 10258, 328, 300, 308, 297, 279, 312, 273, 8980, 313, 289, 327, 299, 13697, 309, 323, 333, 342, 7825, 274, 311, 18091, 337, 1626, 339, 1111, 274, 295, 341, 300, 341, 2316, 578, 339, 280, 326, 297, 320, 279, 29669, 341, 298, 14503, 297, 273, 301, 274, 310, 298, 278, 322, 11266, 300, 2742, 296, 331, 327, 329, 307, 289, 335, 279, 328, 304, 276, 336, 326, 8619, 1103, 313, 31813, 336, 327, 266, 304, 332, 274, 311, 298, 310, 10817, 312, 573, 312, 338, 326, 313, 323, 345, 279, 323, 274, 334, 295, 273, 334, 295, 279, 312, 1428, 333, 13748, 29996, 321, 5588, 337, 331, 313, 344, 342, 984, 760, 278, 13512, 274, 334, 305, 294, 266, 325, 266, 328, 297, 273, 334, 17876, 9143, 2421, 312, 271, 311, 266, 13510, 342, 17315, 277, 337, 321, 31229, 305, 345, 341, 12283, 12682, 345, 302, 312, 301, 342, 339, 1460, 701, 18958, 289, 8248, 289, 308, 27942, 8967, 308, 308, 293, 295, 304, 344, 273, 333, 305, 1177, 266, 308, 1122, 276, 298, 2260, 333, 302, 312, 311, 292, 274, 302, 2412, 278, 337, 293, 313, 299, 343, 278, 296, 345, 312, 10946, 294, 301, 313, 9331, 280, 24884, 3944, 8379, 266, 303, 3528, 312, 335, 336, 291, 280, 338, 274, 2513, 329, 300, 874, 9281, 25446, 1872, 278, 338, 301, 341, 3722, 312, 295, 322, 301, 299, 344, 985, 299, 298, 295, 1872, 14149, 1087, 12336, 310, 298, 300, 10387, 6195, 334, 280, 302, 296, 270, 345, 6434, 266, 270, 9128, 339, 2304, 6224, 14917, 266, 329, 273, 310, 313, 338, 326, 293, 339, 273, 310, 7374, 329, 288, 342, 341, 27426, 341, 311, 337, 272, 343, 4002, 7894, 312, 296, 321, 278, 270, 280, 14654, 345, 342, 304, 320, 310, 307, 329, 344, 271, 304, 16775, 275, 8364, 288, 6113, 329, 322, 278, 307, 274, 338, 2378, 280, 323, 10258, 307, 14899, 297, 321, 12195, 276, 344, 266, 301, 7871, 4002, 280, 311, 296, 9579, 301, 11486, 7933, 291, 327, 4445, 29949, 311, 27426, 333, 337, 1691, 339, 274, 340, 309, 299, 298, 307, 304, 313, 278, 6630, 342, 303, 19282, 343, 4007, 611, 340, 272, 904, 306, 25539, 328, 274, 334, 305, 7032, 311, 278, 329, 16660, 31813, 336, 289, 310, 312, 310, 290, 4343, 342, 302, 276, 291, 332, 273, 302, 271, 312, 296, 308, 332, 295, 329, 3918, 266, 325, 335, 275, 321, 296, 344, 329, 325, 290, 308, 311, 293, 273, 295, 11965, 299, 340, 296, 275, 295, 322, 303, 572, 308, 6349, 4462, 334, 279, 266, 320, 9928, 290, 342, 330, 278, 342, 304, 279, 2260, 296, 326, 311, 326, 277, 292, 32142, 5881, 298, 342, 17070, 288, 302, 266, 279, 10933, 985, 11965, 295, 336, 327, 272, 326, 342, 335, 14888, 15605, 278, 323, 306, 272, 1314, 323, 305, 29369, 611, 296, 328, 305, 278, 308, 297, 10498, 291, 584, 30501, 312, 340, 300, 26214, 613, 275, 1794, 292, 295, 277, 3891, 273, 299, 310, 293, 327, 288, 313, 273, 334, 280, 329, 331, 23218, 6277, 321, 273, 333, 308, 336, 293, 19199, 279, 331, 337, 9816, 332, 21587, 266, 323, 1805, 310, 276, 323, 2767, 16379, 293, 325, 345, 341, 7251, 339, 298, 321, 301, 2764, 332, 24884, 311, 294, 2894, 10394, 307, 294, 297, 303, 2537, 298, 340, 4366, 306, 297, 292, 273, 23623, 13993, 8016, 304, 288, 329, 329, 333, 296, 280, 333, 9680, 629, 557, 329, 297, 333, 288, 304, 278, 306, 277, 328, 313, 304, 321, 28766, 8578, 9366, 309, 266, 308, 313, 345, 310, 343, 331, 298, 17844, 302, 274, 337, 271, 321, 274, 298, 340, 297, 337, 291, 3198, 311, 338, 292, 3149, 310, 300, 341, 11276, 18958, 3607, 297, 272, 599, 341, 308, 294, 10623, 271, 304, 324, 307, 328, 308, 311, 296, 25484, 270, 296, 266, 311, 312, 275, 342, 309, 6858, 320, 29580, 288, 345, 289, 22230, 276, 329, 343, 330, 345, 313, 341, 2207, 276, 337, 278, 270, 266, 868, 271, 293, 310, 1872, 290, 345, 3149, 276, 326, 322, 343, 289, 274, 339, 296, 295, 294, 889, 279, 303, 1168, 339, 14790, 270, 312, 276, 338, 18250, 288, 302, 279, 327, 272, 298, 274, 343, 291, 10258, 310, 308, 308, 294, 10258, 291, 4037, 313, 288, 280, 313, 298, 303, 325, 341, 270, 278, 336, 322, 294, 304, 329, 2793, 329, 327, 308, 326, 306, 2420, 333, 325, 14765, 299, 295, 330, 295, 273, 19878, 299, 293, 874, 300, 342, 274, 332, 4263, 280, 342, 307, 272, 339, 773, 278, 335, 26364, 2710, 302, 6311, 12028, 273, 295, 289, 266, 24382, 293, 296, 321, 304, 334, 311, 30537, 296, 5588, 15425, 340, 273, 305, 273, 290, 332, 1320, 8170, 340, 292, 3722, 305, 334, 291, 14672, 7374, 17668, 308, 2464, 20745, 551, 9680, 321, 298, 331, 3528, 310, 25419, 266, 8619, 293, 266, 291, 329, 5522, 329, 3451, 24926, 312, 297, 345, 2975, 342, 298, 12839, 31983, 310, 310, 304, 296, 295, 334, 17928, 297, 307, 326, 25605, 278, 345, 297, 322, 277, 327, 327, 303, 279, 292, 329, 298, 3445, 277, 323, 298, 299, 311, 321, 304, 280, 303, 340, 2346, 273, 12569, 571, 299, 2419, 307, 345, 17682, 342, 308, 31800, 277, 344, 20081, 313, 275, 328, 15014, 304, 313, 297, 297, 305, 342, 290, 304, 312, 297, 336, 339, 280, 308, 14176, 272, 16936, 304, 7417, 564, 275, 270, 553, 274, 320, 278, 327, 329, 333, 292, 334, 9680, 291, 313, 313, 271, 296, 279, 343, 341, 300, 7597, 19447, 326, 335, 312, 294, 332, 293, 26387, 325, 292, 29996, 294, 10619, 311, 300, 294, 280, 289, 326, 342, 302, 336, 338, 280, 326, 271, 339, 294, 341, 322, 8615, 295, 339, 274, 337, 273, 295, 337, 294, 341, 313, 344, 277, 2764, 335, 30795, 341, 292, 273, 7699, 6187, 325, 291, 600, 2190, 309, 312, 297, 341, 295, 333, 549, 304, 323, 6798, 336, 2106, 336, 276, 311, 329, 311, 31082, 274, 11246, 341, 311, 309, 309, 270, 340, 296, 330, 302, 311, 13697, 1704, 342, 307, 5357, 334, 295, 340, 336, 7761, 298, 344, 8042, 326, 288, 271, 6781, 289, 29949, 313, 274, 8967, 270, 5271, 638, 4026, 298, 323, 275, 2692, 288, 298, 278, 3674, 341, 12858, 807, 290, 329, 327, 14701, 266, 339, 325, 275, 17764, 17247, 323, 313, 18958, 340, 295, 272, 333, 27151, 341, 338, 298, 329, 1168, 10463, 309, 312, 270, 312, 293, 295, 276, 325, 336, 322, 10813, 324, 298, 326, 325, 312, 295, 322, 296, 336, 326, 17751, 335, 297, 276, 21589, 14689, 324, 4462, 289, 327, 292, 320, 294, 308, 17751, 21923, 276, 343, 272, 329, 289, 333, 345, 3240, 344, 310, 18250, 293, 327, 335, 345, 15709, 275, 338, 289, 327, 343, 342, 306, 6717, 312, 278, 303, 266, 332, 301, 16818, 327, 292, 271, 323, 302, 329, 278, 308, 329, 6860, 14176, 3198, 331, 7871, 288, 280, 2839, 276, 11445, 277, 17844, 310, 323, 22230, 341, 310, 325, 6507, 278, 278, 329, 329, 278, 10030, 25897, 266, 330, 291, 279, 335, 292, 342, 23895, 312, 342, 322, 311, 329, 916, 290, 297, 307, 13036, 322, 297, 312, 290, 17989, 322, 292, 6853, 313, 280, 266, 341, 305, 327, 299, 275, 300, 341, 289, 313, 306, 309, 6734, 334, 276, 16660, 2131, 322, 290, 345, 18128, 270, 10602, 298, 276, 312, 342, 325, 27770, 275, 303, 18967, 326, 7775, 6860, 300, 31270, 266, 325, 17762, 295, 332, 276, 313, 312, 298, 322, 313, 345, 291, 665, 290, 24774, 1805, 302, 279, 332, 3412, 298, 342, 277, 331, 310, 337, 309, 330, 272, 313, 270, 2862, 313, 338, 17025, 345, 276, 338, 1428, 299, 296, 273, 305, 325, 329, 299, 638, 341, 16818, 307, 336, 266, 7894, 307, 611, 331, 583, 271, 291, 25897, 279, 304, 26980, 278, 322, 302, 8150, 294, 706, 297, 292, 328, 308, 310, 340, 276, 300, 2260, 335, 329, 290, 4462, 333, 27582, 339, 341, 5652, 29262, 342, 1186, 331, 300, 273, 305, 343, 326, 323, 270, 266, 344, 330, 7644, 329, 326, 336, 266, 2260, 5979, 310, 9573, 321, 277, 1233, 330, 291, 333, 302, 297, 288, 311, 305, 11965, 329, 266, 326, 604, 21254, 343, 308, 312, 304, 25629, 5183, 279, 331, 276, 337, 277, 312, 4041, 278, 333, 337, 1724, 341, 13700, 333, 309, 309, 330, 300, 304, 310, 308, 297, 278, 310, 345, 321, 1729, 273, 300, 23623, 6573, 341, 276, 289, 266, 304, 343, 271, 307, 5392, 311, 340, 312, 288, 329, 329, 294, 26387, 310, 273, 17764, 336, 342, 291, 320, 279, 342, 306, 304, 275, 810, 293, 294, 344, 4263, 274, 293, 344, 297, 23424, 294, 311, 1789, 302, 336, 330, 337, 301, 1372, 277, 344, 11266 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 616, 1163, 2105, 563, 268, 667, 9734, 281, 898, 666, 1291, 721, 547, 3494, 602, 649, 723, 1447, 991, 585, 2200, 982, 649, 2965, 798, 269, 20504, 766, 568, 513, 929, 644, 550, 4640, 1152, 950, 14346, 568, 1360, 1507, 563, 268, 901, 1935, 4523, 950, 649, 2811, 865, 26531, 676, 7525, 2621, 602, 649, 3112, 1544, 585, 2104, 4220, 563, 268, 6215, 25830, 281, 834, 3891, 822, 839, 256, 1284, 4312, 1044, 2495, 547, 1544, 585, 602, 269, 1284, 2973, 29709, 30882, 268, 1520, 2779, 720, 281, 1635, 2519, 938, 2200, 11992, 267, 649, 798, 9585, 930, 4247, 269, 9453, 513, 1981, 1544, 267, 782, 20814, 2200, 547, 1981, 2359, 3587, 11991, 563, 268, 667, 9734, 281, 1403, 1981, 2621, 12446, 1354, 649, 666, 21138, 2200, 547, 1981, 4058, 267, 519, 1981, 3210, 666, 581, 16283, 267, 543, 2407, 8397, 9568, 568, 2009, 563, 19061, 338, 2760, 979, 454, 638, 924, 607, 9709, 269, 1284, 2503, 602, 267, 855, 649, 1810, 1405, 2503, 9568, 269, 1215, 666, 649, 1205, 1732, 693, 31986, 9568, 950, 972, 781, 1869, 942, 547, 2061, 621, 286, 1215, 547, 20128, 513, 24410, 16940, 5741, 6969, 519, 24410, 1076, 3399, 338, 568, 4904, 609, 4388, 585, 26933, 267, 9972, 9946, 267, 9946, 540, 1788, 9946, 267, 543, 13384, 832, 540, 3785, 538, 1788, 15129, 3906, 269, 898, 2337, 3988, 1451, 519, 11029, 10291, 602, 5815, 602, 513, 1788, 568, 693, 1981, 585, 20739, 1188, 720, 538, 942, 547, 798, 1945, 827, 621, 269, 898, 781, 606, 19545, 267, 855, 621, 781, 827, 476, 1428, 260, 3677, 982, 834, 8005, 631, 3437, 3733, 4258, 3150, 8119, 3807, 20430, 476, 866, 269, 4817, 269, 11352, 3767, 256, 4586, 7312, 8292, 616, 10950, 25898, 596, 899, 547, 1294, 707, 8292, 11540, 1934, 286, 678, 321, 1066, 328, 291, 339, 289, 312, 327, 304, 20228, 310, 2177, 301, 336, 343, 684, 518, 287, 2419, 659, 309, 341, 300, 339, 304, 7804, 303, 5633, 313, 309, 321, 301, 4157, 334, 290, 23368, 2593, 306, 754, 803, 707, 8292, 676, 4757, 267, 610, 676, 5680, 1106, 563, 10666, 8672, 6733, 719, 454, 14188, 596, 585, 2542, 713, 2376, 269, 594, 4126, 596, 10150, 621, 543, 1336, 621, 3730, 267, 543, 602, 596, 3513, 2015, 2857, 2056, 621, 547, 513, 3659, 563, 28874, 8672, 6733, 719, 676, 11836, 519, 14886, 540, 8672, 6733, 719, 267, 607, 606, 1367, 610, 607, 606, 3919, 563, 2710, 596, 3068, 513, 1950, 14375, 3510, 286, 27189, 621, 538, 267, 26687, 3585, 952, 596, 899, 267, 543, 594, 3513, 2285, 596, 1250, 1079, 21347, 563, 5415, 4930, 593, 5741, 5004, 912, 268, 3733, 9406, 14272, 454, 268, 1703, 781, 4986, 899, 606, 5945, 610, 4576, 547, 4001, 596, 930, 1272, 4245, 269, 3371, 616, 930, 1919, 594, 4121, 454, 516, 1417, 569, 950, 594, 17303, 4503, 930, 540, 1250, 7115, 563, 268, 19737, 6348, 4211, 2632, 550, 24093, 281, 594, 454, 268, 1879, 1788, 6887, 543, 741, 13384, 832, 4383, 1981, 267, 789, 2356, 1445, 593, 1346, 4220, 1034, 5702, 2404, 454, 5976, 519, 4247, 2443, 1543, 4220, 269, 11531, 267, 824, 4220, 2443, 1875, 9762, 550, 4220, 2443, 1205, 1447, 454, 3430, 1549, 269, 7324, 891, 616, 4220, 1644, 547, 519, 3157, 543, 6214, 676, 799, 519, 3919, 4991, 454, 268, 5071, 8210, 5558, 543, 6828, 4437, 1162, 454, 268, 5071, 6959, 666, 2014, 13311, 4093, 267, 855, 789, 666, 849, 1291, 547, 10950, 26208, 269, 634, 3123, 540, 454, 28236, 1374, 6959, 616, 4909, 10305, 540, 519, 1259, 2516, 1599, 269, 3371, 568, 3487, 4083, 540, 938, 3408, 563, 268, 3680, 11109, 547, 4676, 9347, 23299, 454, 268, 8616, 1586, 267, 649, 14406, 938, 3804, 2443, 649, 941, 3735, 267, 649, 941, 936, 6578, 267, 610, 649, 4503, 547, 519, 6735, 563, 3719, 875, 666, 649, 1205, 1945, 1434, 856, 540, 621, 888, 268, 13560, 538, 519, 1284, 2644, 281, 594, 454, 268, 1879, 2576, 3081, 267, 834, 296, 1589, 649, 2811, 1524, 538, 519, 18047, 2437, 513, 1455, 2495, 568, 602, 649, 2811, 2519, 454, 517, 20025, 2443, 543, 7654, 13061, 2443, 3877, 269, 1215, 1281, 713, 4755, 543, 1018, 666, 454, 933, 798, 827, 621, 888, 293, 2180, 5765, 2152, 540, 8672, 6733, 719, 454, 268, 28527, 5239, 476, 1704, 281, 744, 3200, 645, 3485, 2397, 538, 20821, 902, 454, 268, 2368, 11401, 6336, 741, 1259, 538, 642, 664, 8942, 547, 30114, 1518, 513, 11350, 580, 5166, 16045, 945, 3274, 786, 711, 581, 30114, 1881, 269, 3371, 781, 835, 9183, 602, 13352, 713, 4806, 269, 12232, 1934, 543, 676, 681, 7704, 593, 5239, 476, 1704, 563, 268, 1656, 593, 5239, 476, 2190, 281, 22062, 566, 7054, 761, 1218, 281, 594, 454, 268, 22062, 725, 693, 960, 666, 581, 24858, 1256, 950, 3025, 13290, 547, 581, 30251, 267, 2312, 267, 543, 796, 3711, 27631, 269, 1809, 930, 1004, 2965, 2119, 547, 581, 562, 7360, 267, 15458, 267, 543, 24813, 269, 3371, 781, 3487, 594, 540, 513, 1507, 4015, 540, 741, 2553, 269, 12232, 1934, 543, 676, 681, 7704, 593, 5239, 476, 2190, 563, 296, 2709, 4757, 543, 15146, 18006, 693, 1312, 9746, 543, 1367, 3928, 269, 13555, 25599, 585, 3877, 693, 678, 321, 1066, 309, 342, 343, 310, 296, 327, 291, 4942, 30795, 17989, 296, 641, 1676, 287, 2419, 659, 337, 19136, 6996, 332, 3149, 307, 297, 339, 330, 322, 336, 334, 290, 23368, 2593, 610, 630, 20981, 264, 476, 4281, 278, 268, 5038, 278, 276, 267, 610, 17167, 6954, 538, 519, 18626, 2475, 693, 630, 279, 5780, 264, 476, 274, 4281, 268, 276, 5325, 271, 563, 7476, 519, 19545, 2336, 303, 770, 2152, 540, 8672, 6733, 719, 616, 2139, 538, 3670, 552, 9248, 912, 268, 5192, 476, 1220, 272, 268, 273, 538, 2983, 3150, 5213, 1405, 8092, 593, 3828, 12127, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 274, 268, 275, 538, 4208, 17268, 25538, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 276, 268, 277, 538, 10753, 4878, 12085, 1284, 1684, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 278, 268, 279, 538, 12085, 1284, 5617, 10079, 2334, 9320, 589, 1066, 1405, 1924, 6936, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 280, 268, 1015, 538, 634, 5999, 3502, 18542, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 782, 540, 519, 1101, 12964, 1296, 630, 1220, 272, 268, 1001, 273, 264, 538, 634, 11814, 539, 12983, 540, 8672, 6733, 719, 630, 14457, 267, 20430, 476, 2764, 269, 4200, 994, 6701, 596, 513, 5856, 267, 9375, 610, 17404, 593, 21120, 286, 3657, 596, 3168, 585, 606, 2376, 602, 786, 1205, 1004, 6158, 543, 1205, 5360, 9323, 10760, 707, 1259, 286, 1411, 666, 723, 476, 4335, 1913, 538, 707, 28600, 538, 835, 5662, 269, 17821, 1022, 2376, 689, 713, 5680, 3135, 269, 2859, 9623, 454, 268, 634, 5295, 18748, 281, 1215, 1284, 18124, 3776, 9608, 5295, 454, 268, 3509, 1004, 945, 4865, 1483, 10721, 1379, 723, 513, 8984, 1629, 6756, 528, 269, 898, 781, 519, 1259, 789, 1788, 741, 4527, 269, 594, 1289, 713, 519, 1379, 1860, 269, 2368, 1004, 2443, 1289, 873, 1379, 5910, 11367, 2443, 9772, 519, 1379, 1860, 1134, 1354, 789, 12492, 1713, 10721, 1379, 269, 10251, 585, 741, 9164, 267, 543, 585, 741, 3906, 267, 1379, 5910, 11367, 666, 12492, 10721, 1379, 856, 540, 8167, 547, 741, 20519, 610, 5759, 269, 4197, 519, 1379, 1860, 568, 4061, 1271, 585, 4896, 945, 6663, 547, 12492, 1379, 267, 610, 4896, 945, 1568, 609, 1379, 5910, 11367, 269, 3367, 811, 827, 713, 1982, 269, 0, 8489, 553, 713, 3381, 8761, 513, 6263, 18951, 689, 519, 5450, 24227, 5441, 540, 15173, 15158, 3257, 1018, 9424, 547, 513, 5378, 345, 341, 1695, 267, 649, 616, 2111, 547, 782, 1589, 827, 513, 2104, 998, 799, 713, 2370, 8284, 949, 588, 629, 596, 1369, 519, 737, 880, 7719, 563, 1607, 3552, 2370, 18951, 2306, 946, 540, 13590, 2604, 547, 7669, 610, 1166, 641, 585, 2072, 543, 23651, 547, 8749, 3294, 6619, 676, 10792, 5054, 269, 12824, 666, 20716, 2359, 621, 689, 16538, 540, 519, 26430, 563, 2108, 7197, 2831, 723, 513, 1850, 27480, 547, 1850, 3766, 777, 5223, 540, 1079, 281, 272, 547, 476, 272, 281, 272, 269, 1924, 649, 5462, 547, 1711, 938, 18951, 9001, 476, 272, 281, 272, 8167, 2223, 5018, 3220, 269, 30715, 962, 1690, 532, 540, 4975, 308, 779, 10406, 540, 4437, 32441, 7177, 563, 763, 7953, 616, 1547, 4792, 6515, 17890, 543, 11329, 267, 16715, 11508, 269, 634, 18951, 568, 1500, 689, 968, 338, 559, 6625, 2326, 5219, 547, 607, 4874, 323, 574, 14007, 338, 559, 2135, 2033, 630, 11520, 5960, 264, 11251, 609, 6419, 5536, 799, 2636, 621, 547, 581, 20716, 7307, 676, 1818, 946, 540, 13590, 2604, 1848, 898, 1522, 4440, 18846, 12303, 476, 3445, 2157, 547, 18214, 936, 9465, 563, 763, 3173, 723, 964, 6312, 3481, 519, 2370, 8284, 676, 513, 1297, 540, 9157, 5054, 267, 1927, 609, 713, 5848, 812, 928, 23936, 540, 513, 17737, 269, 898, 666, 849, 4163, 11955, 543, 6749, 873, 1055, 607, 4941, 563, 10527, 27726, 6989, 543, 19249, 9403, 540, 1585, 8031, 8659, 538, 519, 1480, 26430, 1118, 6283, 2352, 269, 3776, 3818, 6122, 13949, 18951, 8761, 513, 23773, 4398, 538, 9867, 1768, 23230, 543, 4061, 1930, 5458, 3252, 585, 3075, 3761, 8659, 538, 519, 26430, 2223, 5018, 7905, 15651, 2098, 340, 1678, 2967, 563, 763, 12284, 13922, 547, 1711, 513, 27500, 18951, 19692, 610, 2663, 267, 799, 1522, 5512, 519, 2370, 8284, 547, 18214, 1524, 707, 24647, 543, 883, 707, 575, 7491, 1310, 799, 267, 950, 621, 814, 12628, 922, 31139, 267, 23271, 883, 4986, 1145, 610, 2097, 856, 707, 512, 1276, 639, 269, 0, 18907, 568, 29233, 13600, 267, 799, 2488, 606, 4316, 547, 1865, 267, 4497, 609, 543, 1489, 519, 11806, 266, 2146, 269, 1677, 948, 596, 1683, 1489, 543, 5796, 547, 1053, 609, 2055, 1472, 11806, 266, 2152, 267, 649, 4076, 15504, 1927, 513, 1592, 540, 10643, 593, 519, 1888, 7132, 513, 1592, 540, 3730, 7270, 585, 2417, 2542, 912, 5804, 2776, 9080, 823, 547, 29233, 281, 589, 3778, 540, 519, 11806, 266, 11873, 1107, 25138, 700, 877, 454, 5804, 2776, 9080, 823, 547, 29233, 5654, 693, 519, 4473, 543, 10781, 540, 519, 11806, 266, 3350, 543, 519, 1114, 2950, 267, 23806, 543, 2984, 540, 2295, 19874, 543, 10100, 602, 723, 22415, 1117, 7258, 621, 563, 8110, 2739, 585, 3988, 9907, 476, 1556, 543, 20733, 267, 713, 1433, 786, 8300, 10100, 543, 11348, 538, 1762, 11806, 266, 1004, 543, 948, 2626, 2055, 585, 782, 3988, 5461, 538, 4008, 543, 3961, 269, 28150, 5813, 883, 519, 13346, 8456, 602, 723, 13934, 24139, 267, 14447, 267, 25251, 543, 19574, 1004, 543, 519, 2833, 602, 948, 721, 1174, 1018, 621, 1797, 547, 581, 11806, 266, 2221, 563, 7818, 13923, 30697, 5002, 272, 670, 289, 11278, 1724, 269, 4200, 269, 4855, 856, 811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3617, 543, 1287, 6029, 519, 2324, 780, 274, 269, 8340, 519, 9030, 1871, 585, 2845, 18750, 264, 1141, 1990, 815, 630, 274, 8203, 272, 270, 273, 1107, 328, 692, 275, 269, 4855, 14803, 18750, 264, 585, 1384, 320, 264, 1990, 815, 476, 279, 1496, 10339, 1775, 263, 278, 7032, 270, 476, 274, 264, 6540, 321, 264, 1990, 815, 1163, 263, 273, 264, 1163, 9217, 14039, 2020, 2690, 519, 2706, 910, 3711, 25875, 2979, 627, 714, 1384, 276, 269, 2913, 1990, 272, 267, 1990, 273, 543, 1990, 274, 1106, 519, 14622, 540, 513, 6906, 607, 8612, 538, 519, 6516, 269, 8058, 602, 1384, 10401, 815, 2415, 18950, 345, 273, 910, 345, 272, 8358, 630, 345, 274, 910, 1990, 272, 14587, 815, 2415, 630, 345, 273, 910, 1990, 272, 264, 910, 2415, 18750, 274, 910, 1990, 272, 2020, 295, 842, 281, 7102, 12761, 6152, 538, 519, 1950, 7077, 281, 642, 714, 1421, 630, 345, 910, 1990, 271, 264, 666, 581, 19775, 607, 513, 8701, 1106, 1384, 18750, 910, 1990, 271, 264, 815, 678, 6262, 657, 7117, 1341, 568, 514, 7117, 2020, 25669, 547, 2268, 519, 3845, 689, 1990, 271, 547, 1990, 269, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 13232, 3410, 318, 306, 6860, 5334, 30055, 692, 258, 4571, 3410, 318, 306, 6860, 5334, 30055, 910, 13878, 476, 1708, 11068, 3410, 11929, 19105, 729, 476, 7906, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 21316, 476, 1708, 11068, 3410, 11929, 267, 4728, 476, 1015, 476, 1220, 275, 19105, 729, 476, 7906, 2600, 269, 476, 272, 269, 630, 1626, 2798, 264, 634, 5276, 7004, 570, 21810, 10321, 538, 681, 476, 273, 538, 519, 1739, 1259, 281, 1101, 621, 29226, 519, 6152, 998, 606, 5086, 540, 476, 1789, 5232, 4831, 22018, 3772, 827, 519, 5169, 267, 1287, 621, 29156, 519, 6152, 779, 3259, 543, 1287, 621, 9356, 519, 4611, 6152, 2066, 519, 1899, 540, 9386, 476, 272, 998, 519, 5169, 269, 1548, 568, 519, 3044, 5119, 540, 570, 7790, 15585, 566, 676, 476, 1789, 5232, 4831, 22018, 3772, 568, 2016, 676, 519, 5119, 834, 5430, 12631, 270, 476, 277, 910, 5609, 12631, 270, 476, 277, 5609, 12631, 270, 476, 277, 5430, 12631, 270, 476, 277, 1948, 815, 834, 476, 274, 1315, 476, 273, 910, 476, 272, 1315, 476, 273, 476, 272, 1315, 476, 273, 476, 274, 1315, 476, 273, 1948, 8935, 17331, 519, 3259, 568, 12913, 676, 14921, 713, 5119, 676, 476, 273, 269, 14506, 2066, 519, 1899, 1535, 476, 272, 815, 1535, 476, 273, 568, 2016, 676, 519, 5119, 834, 476, 271, 476, 272, 476, 272, 476, 271, 1948, 1924, 519, 5119, 540, 570, 568, 834, 476, 271, 476, 272, 476, 272, 476, 271, 1948, 834, 476, 274, 910, 476, 272, 476, 272, 476, 274, 1948, 815, 834, 476, 272, 476, 274, 476, 274, 910, 476, 272, 1948, 476, 273, 269, 630, 1626, 2798, 264, 2913, 589, 815, 476, 272, 476, 273, 476, 271, 476, 273, 476, 271, 476, 271, 476, 272, 476, 274, 910, 476, 272, 910, 476, 273, 476, 272, 476, 272, 476, 273, 476, 275, 910, 476, 272, 476, 272, 799, 4737, 6971, 547, 678, 10915, 630, 589, 3738, 815, 476, 272, 476, 273, 476, 271, 476, 273, 476, 271, 476, 271, 476, 272, 476, 274, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 1547, 630, 320, 264, 4855, 513, 4493, 585, 519, 3239, 540, 589, 1547, 2051, 8435, 476, 272, 543, 476, 274, 540, 678, 10915, 10490, 264, 723, 1291, 476, 272, 779, 865, 2051, 8435, 476, 272, 543, 476, 274, 540, 589, 1106, 513, 4493, 585, 519, 3239, 540, 589, 269, 8382, 281, 476, 272, 476, 271, 910, 476, 272, 476, 273, 2073, 476, 271, 476, 272, 476, 272, 910, 476, 272, 630, 321, 264, 4855, 513, 4493, 585, 519, 17830, 540, 589, 1547, 8382, 281, 910, 476, 273, 476, 272, 476, 271, 476, 271, 2073, 910, 476, 273, 476, 271, 910, 476, 274, 476, 272, 630, 322, 264, 4855, 513, 5119, 645, 971, 602, 519, 3239, 540, 645, 568, 519, 1482, 607, 519, 17830, 540, 589, 1547, 8382, 281, 645, 815, 910, 476, 273, 910, 476, 273, 476, 272, 476, 271, 476, 271, 910, 476, 274, 476, 271, 476, 272, 630, 323, 264, 4855, 513, 5119, 595, 971, 602, 519, 17830, 540, 595, 568, 519, 1482, 607, 519, 3239, 540, 589, 1547, 2290, 2009, 2626, 568, 834, 476, 272, 910, 476, 272, 476, 272, 476, 271, 910, 476, 273, 476, 272, 476, 271, 476, 272, 1948, 1547, 476, 274, 269, 630, 1626, 2798, 264, 2913, 966, 581, 519, 1016, 11898, 540, 681, 476, 275, 838, 10165, 676, 519, 10321, 9625, 341, 476, 272, 815, 476, 272, 476, 272, 476, 272, 476, 272, 9625, 341, 476, 273, 815, 476, 272, 476, 273, 910, 476, 272, 476, 271, 9625, 341, 476, 274, 815, 476, 271, 476, 272, 476, 272, 910, 476, 272, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 5416, 264, 4855, 513, 4493, 585, 966, 1547, 1677, 12337, 966, 649, 12337, 23128, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 273, 910, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 910, 476, 272, 815, 23128, 476, 272, 476, 271, 476, 271, 476, 273, 476, 271, 476, 272, 476, 271, 910, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 815, 910, 476, 273, 512, 512, 476, 271, 512, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 8525, 272, 1315, 476, 275, 692, 13232, 3410, 318, 306, 6860, 5334, 30055, 910, 13878, 476, 1708, 11068, 3410, 11929, 19105, 729, 476, 7906, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 274, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 258, 476, 3422, 276, 589, 9391, 10933, 10819, 270, 19370, 476, 2764, 692, 1012, 9046, 692, 2304, 15583, 1807, 630, 332, 8221, 25047, 13826, 264, 540, 1269, 333, 259, 7833, 3268, 7298, 693, 782, 2053, 1784, 1742, 693, 3586, 3432, 269, 5565, 8695, 267, 1269, 288, 259, 543, 1269, 313, 8961, 3802, 1524, 519, 15583, 1807, 20406, 607, 621, 7575, 267, 589, 27410, 7466, 607, 1082, 15583, 1807, 3268, 829, 8792, 607, 1269, 313, 10608, 1269, 288, 259, 10301, 519, 5377, 1310, 2921, 1269, 2767, 259, 3268, 1247, 1269, 313, 259, 10301, 519, 5377, 1310, 2921, 1269, 1240, 259, 3268, 269, 3973, 1269, 333, 259, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 8287, 1422, 29911, 1422, 3667, 8578, 18950, 289, 264, 476, 4153, 476, 7918, 1422, 29911, 1422, 3667, 8578, 18950, 290, 264, 476, 4153, 476, 3393, 1422, 29911, 1422, 3667, 8578, 18950, 291, 264, 476, 4153, 476, 3607, 1422, 29911, 1422, 3667, 8578, 18950, 292, 264, 476, 4153, 476, 1789, 6911, 1012, 8827, 692, 2252, 649, 1577, 1269, 313, 259, 262, 338, 3432, 581, 1269, 345, 259, 3268, 26553, 1393, 267, 1287, 1269, 288, 259, 262, 338, 3432, 568, 1269, 273, 345, 259, 3268, 26553, 1393, 269, 2913, 1269, 339, 19963, 259, 581, 519, 942, 1269, 288, 259, 6170, 593, 519, 15583, 1807, 267, 543, 1577, 1269, 339, 318, 345, 259, 581, 519, 942, 1269, 313, 259, 6170, 593, 519, 15583, 1807, 269, 3973, 267, 649, 917, 602, 1269, 288, 259, 15336, 1524, 1269, 273, 345, 339, 19963, 284, 2767, 259, 3268, 267, 543, 1269, 313, 259, 15336, 1524, 1269, 345, 339, 318, 345, 284, 1240, 259, 3268, 269, 29435, 532, 519, 1101, 3830, 676, 519, 2034, 267, 649, 1294, 602, 281, 1422, 8218, 9387, 15857, 8607, 1422, 2765, 346, 273, 345, 339, 19963, 2410, 345, 339, 318, 345, 31905, 7807, 2765, 346, 2767, 2410, 1240, 348, 8607, 1422, 2765, 346, 273, 339, 19963, 2410, 339, 318, 345, 31905, 7807, 2765, 346, 274, 2410, 273, 348, 8607, 512, 19963, 261, 7807, 2765, 346, 274, 2410, 275, 348, 339, 318, 345, 8607, 1422, 754, 9387, 265, 10926, 13295, 267, 1317, 1269, 288, 259, 729, 593, 519, 15583, 1807, 585, 4399, 2765, 346, 274, 2410, 275, 4151, 607, 1279, 607, 1269, 313, 259, 729, 267, 1269, 288, 259, 1152, 6591, 4399, 2765, 346, 274, 2410, 275, 4151, 607, 1082, 834, 16451, 257, 3268, 630, 328, 4318, 269, 3268, 602, 798, 711, 723, 547, 581, 3144, 1317, 519, 15583, 1807, 568, 3001, 1524, 1040, 1284, 917, 602, 1269, 288, 259, 6591, 18159, 333, 268, 2767, 7751, 1863, 3268, 267, 543, 1269, 313, 259, 6591, 18159, 333, 268, 1240, 7751, 1863, 3268, 269, 4935, 649, 723, 519, 1739, 3830, 281, 1269, 333, 268, 2767, 7807, 2765, 346, 274, 2410, 275, 12917, 333, 268, 1240, 30879, 14572, 585, 1269, 333, 259, 3947, 721, 4399, 7901, 539, 3189, 3667, 8578, 18950, 289, 264, 7684, 7918, 23201, 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 1315, 11417, 2791, 616, 13156, 606, 4587, 4528, 540, 713, 10417, 269, 3619, 547, 519, 5767, 4528, 780, 258, 1230, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 692, 1012, 16448, 531, 6898, 6537, 689, 606, 952, 2389, 1156, 3948, 780, 15307, 13846, 278, 1295, 560, 334, 2347, 454, 14999, 3682, 28698, 454, 20797, 1230, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 454, 3682, 28698, 454, 15307, 13846, 278, 1295, 560, 334, 2347, 454, 14999, 3519, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 692, 1432, 952, 707, 11078, 5143, 596, 834, 604, 596, 798, 519, 8286, 267, 1287, 594, 786, 948, 596, 609, 707, 6780, 22172, 1548, 781, 513, 3948, 602, 568, 25401, 6697, 547, 1018, 707, 11078, 1767, 286, 2991, 11264, 713, 10417, 267, 596, 786, 917, 875, 547, 2626, 713, 2243, 607, 596, 3605, 3221, 525, 267, 538, 951, 525, 267, 543, 15333, 1842, 14476, 267, 543, 875, 4657, 513, 19585, 3948, 5540, 5168, 1871, 780, 2162, 30334, 692, 13706, 519, 3948, 281, 1403, 519, 4365, 568, 8799, 267, 1287, 594, 786, 11547, 519, 1286, 269, 901, 666, 581, 17370, 9287, 1210, 5022, 547, 2099, 519, 8367, 543, 3932, 1384, 2252, 1109, 335, 267, 6533, 1109, 336, 3602, 335, 284, 1492, 4365, 568, 8799, 543, 336, 284, 296, 786, 11547, 519, 1286, 269, 7775, 28872, 336, 26142, 8218, 9387, 265, 4153, 3667, 346, 2252, 348, 1422, 533, 267, 1422, 3667, 346, 6533, 348, 1422, 7117, 30974, 1422, 3667, 346, 3602, 348, 30974, 533, 815, 1422, 3667, 346, 1492, 4365, 568, 8799, 543, 348, 30974, 7117, 815, 1422, 3667, 346, 296, 786, 11547, 519, 1286, 269, 348, 30974, 1422, 3667, 346, 7775, 9574, 533, 1422, 21375, 7117, 26142, 754, 9387, 265, 10926, 1103, 1840, 547, 891, 1064, 14476, 267, 649, 666, 849, 2328, 519, 2258, 725, 267, 610, 968, 2254, 892, 338, 540, 533, 17961, 9387, 15857, 335, 17910, 9387, 15857, 543, 7117, 17961, 9387, 15857, 336, 17910, 9387, 15857, 269, 634, 12572, 4528, 540, 711, 533, 17961, 9387, 15857, 335, 17910, 9387, 265, 9574, 568, 533, 17961, 9387, 265, 4153, 13678, 533, 17910, 9387, 15857, 780, 335, 284, 1492, 4365, 568, 711, 8799, 336, 284, 296, 786, 711, 11547, 519, 1286, 17961, 9387, 265, 4153, 13678, 533, 284, 1422, 3667, 346, 1492, 4365, 568, 711, 8799, 348, 30974, 1422, 13678, 7117, 815, 1422, 3667, 346, 296, 786, 711, 11547, 519, 1286, 4153, 754, 9387, 265, 10926, 8794, 891, 2258, 725, 543, 15175, 519, 1931, 540, 533, 17961, 9387, 15857, 335, 17910, 9387, 15857, 543, 7117, 17961, 9387, 15857, 336, 17910, 9387, 265, 9574, 649, 666, 1711, 1614, 811, 19585, 6898, 780, 17961, 9387, 15857, 261, 1422, 3667, 346, 3519, 2091, 348, 30974, 7117, 1422, 21375, 533, 30974, 1422, 8974, 3630, 576, 3189, 3667, 346, 2252, 594, 11547, 519, 1286, 3686, 3709, 336, 9574, 1422, 1422, 8974, 3630, 576, 3189, 3667, 346, 6533, 519, 4365, 568, 8799, 3686, 3709, 335, 20467 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 2671, 3902, 568, 259, 4366, 269, 7176, 543, 3140, 661, 4916, 568, 1269, 274, 269, 8660, 269, 8074, 281, 22955, 21433, 689, 5616, 16010, 593, 476, 2190, 4728, 476, 1001, 275, 269, 6904, 10909, 4043, 547, 723, 1970, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 8307, 2015, 10909, 609, 2318, 15271, 267, 23304, 731, 10909, 609, 2942, 15271, 543, 4061, 2942, 18027, 12753, 269, 6904, 540, 519, 1739, 1902, 762, 7221, 616, 10691, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6480, 1493, 519, 4457, 4871, 15096, 6195, 781, 2671, 3902, 1210, 513, 18807, 23302, 3902, 15271, 630, 14154, 264, 23385, 1935, 609, 519, 1739, 10054, 543, 5515, 1152, 269, 8074, 602, 519, 15646, 2381, 6798, 630, 305, 11586, 264, 568, 519, 4457, 9304, 267, 849, 1634, 607, 519, 586, 10224, 630, 290, 29369, 1040, 3040, 634, 476, 275, 2101, 4457, 8492, 15096, 6195, 267, 3624, 14716, 7813, 630, 6717, 289, 1070, 7813, 540, 3624, 630, 289, 8016, 264, 543, 16581, 7813, 540, 3624, 630, 27398, 264, 616, 13380, 3549, 282, 3040, 15096, 6195, 1412, 338, 3140, 15271, 829, 2671, 630, 292, 4916, 264, 568, 681, 11586, 476, 271, 269, 10619, 282, 3040, 16671, 289, 781, 18807, 23302, 18027, 5223, 568, 476, 275, 269, 6795, 282, 3040, 645, 8016, 1412, 338, 18807, 23302, 18027, 5223, 568, 476, 275, 269, 4281, 282, 3040, 13235, 781, 18807, 23302, 18027, 5223, 568, 849, 476, 275, 269, 4281, 282, 8074, 281, 22955, 21433, 689, 5616, 16010, 593, 476, 1839, 4728, 476, 1001, 275, 269, 9523, 5777, 616, 689, 519, 29258, 6006, 5385, 269, 6904, 10909, 4043, 547, 723, 1164, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 6904, 540, 519, 1739, 3549, 568, 1034, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6904, 540, 519, 1739, 1902, 762, 7221, 568, 519, 19845, 17129, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6904, 10909, 4043, 547, 723, 1970, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 8307, 2015, 10909, 609, 2318, 18027, 12753, 269, 634, 1739, 3349, 2982, 513, 3732, 540, 3140, 2698, 7024, 540, 8843, 538, 1079, 1114, 3549, 589, 543, 645, 269, 476, 14351, 16849, 11192, 2500, 5993, 7024, 5729, 1269, 337, 318, 288, 259, 1269, 337, 29758, 259, 476, 1220, 278, 476, 271, 269, 273, 476, 271, 269, 275, 476, 1220, 279, 476, 271, 269, 6860, 910, 271, 269, 273, 476, 1220, 280, 910, 271, 269, 272, 910, 271, 269, 274, 476, 1001, 271, 476, 271, 269, 1240, 476, 271, 269, 276, 1548, 568, 519, 3140, 3732, 31809, 630, 7445, 1002, 3189, 18406, 13925, 288, 32390, 4151, 264, 543, 9756, 630, 7445, 24838, 3709, 288, 32390, 4151, 264, 540, 6006, 589, 543, 645, 781, 2698, 2500, 5993, 7024, 286, 5565, 19408, 13632, 589, 543, 645, 17663, 606, 3160, 27954, 539, 14769, 269, 634, 9756, 1063, 519, 13632, 262, 7024, 568, 476, 3583, 10065, 1403, 519, 13065, 540, 6006, 589, 4679, 855, 519, 281, 3040, 31245, 543, 4397, 7024, 540, 1142, 6006, 13978, 519, 1482, 267, 3040, 7352, 766, 540, 6006, 645, 781, 7024, 13978, 519, 1482, 267, 3040, 4856, 21975, 540, 7024, 1063, 519, 13632, 13978, 519, 1482, 269, 6904, 540, 519, 1739, 6898, 568, 10691, 2953, 286, 2353, 1919, 6967, 3160, 267, 519, 2362, 519, 9756, 540, 7024, 1063, 1079, 13632, 281, 6904, 540, 519, 1739, 6898, 827, 3044, 8579, 6128, 10035, 568, 10691, 2953, 286, 634, 31809, 543, 9756, 540, 1079, 13632, 2473, 543, 962, 781, 5993, 7024, 616, 7229, 936, 513, 1297, 540, 1296, 269, 634, 4559, 540, 519, 7024, 616, 538, 2600, 829, 3045, 636, 1269, 7268, 260, 17328, 30879, 1548, 616, 519, 4559, 540, 519, 31809, 1269, 7268, 18406, 3709, 311, 267, 312, 348, 7751, 543, 9756, 1269, 7268, 24838, 3709, 311, 267, 312, 348, 7751, 540, 7024, 6606, 286, 670, 842, 281, 16731, 9504, 547, 1174, 519, 3017, 1063, 6871, 2798, 1269, 7268, 3667, 346, 653, 348, 7751, 543, 2600, 1269, 7268, 260, 30879, 1548, 568, 519, 31809, 540, 513, 4756, 2473, 609, 3294, 286, 634, 524, 990, 11583, 267, 2473, 264, 610, 4399, 18406, 3709, 311, 267, 311, 4151, 11224, 281, 1548, 568, 519, 31809, 540, 513, 4756, 2473, 609, 513, 3586, 595, 286, 634, 524, 990, 11583, 267, 595, 264, 610, 4399, 18406, 3709, 311, 267, 290, 4151, 11224, 281, 476, 12313, 4578, 5384, 10022, 590, 712, 1027, 689, 23968, 5622, 16010, 8466, 12313, 4578, 11261, 590, 261, 303, 4335, 12039, 630, 317, 294, 9915, 290, 264, 11197, 630, 288, 4338, 299, 264, 7046, 4400, 8899, 19171, 1520, 329, 2673, 7046, 4400, 8899, 19171, 1520, 329, 2673, 476, 1220, 278, 267, 11205, 476, 274, 3967, 476, 15221, 279, 476, 16318, 280, 476, 9610, 279, 476, 15221, 278, 476, 15221, 278, 476, 1321, 269, 3451, 476, 1321, 269, 4391, 476, 1556, 269, 278, 476, 1556, 269, 9032, 476, 1015, 269, 5655, 476, 1220, 279, 267, 11205, 476, 273, 3967, 476, 16409, 279, 476, 15704, 273, 476, 13893, 273, 476, 13893, 278, 476, 13893, 278, 476, 2764, 269, 5325, 476, 2764, 269, 8618, 476, 2767, 269, 7906, 476, 2767, 269, 10695, 476, 2190, 269, 2420, 476, 1220, 280, 267, 29443, 476, 273, 3967, 476, 3445, 274, 476, 280, 3374, 476, 279, 4200, 476, 280, 3953, 476, 280, 3953, 476, 1321, 269, 2767, 476, 1724, 269, 4905, 476, 1321, 269, 1704, 476, 1321, 269, 9834, 476, 1556, 269, 2764, 476, 1001, 271, 267, 3933, 476, 275, 3967, 476, 9340, 278, 476, 13647, 275, 476, 9340, 278, 476, 13647, 274, 476, 13647, 274, 476, 1789, 269, 5392, 476, 1789, 269, 5038, 476, 1789, 269, 4097, 476, 1789, 269, 6872, 476, 2918, 269, 277, 11905, 281, 23968, 5622, 16010, 269, 6904, 540, 519, 1739, 6898, 827, 519, 1657, 3349, 799, 568, 1031, 547, 5173, 11197, 781, 9698, 12498, 568, 10691, 2953, 286, 667, 1392, 2305, 538, 513, 14769, 540, 1079, 7221, 1568, 1655, 950, 519, 9756, 1063, 741, 7024, 568, 281, 1548, 568, 519, 9756, 540, 513, 4756, 2473, 609, 3294, 286, 634, 1351, 337, 11583, 267, 2473, 264, 610, 4399, 24838, 3709, 311, 267, 311, 4151, 11224, 281, 1548, 568, 519, 9756, 540, 513, 4756, 2473, 609, 513, 3586, 595, 286, 634, 1351, 337, 11583, 267, 595, 264, 610, 4399, 24838, 3709, 311, 267, 290, 4151, 11224, 281, 476, 5741, 4578, 5741, 1272, 476, 272, 1032, 19461, 5092, 538, 3937, 259, 277, 332, 3493, 21090, 540, 3937, 829, 1032, 1269, 277, 332, 1401, 4624, 9042, 3902, 540, 3937, 693, 1439, 540, 1788, 476, 271, 5149, 6455, 829, 1032, 476, 280, 332, 22312, 3902, 829, 1770, 259, 279, 24438, 1942, 829, 1770, 1269, 277, 674, 12089, 3790, 829, 1032, 267, 6976, 693, 519, 1439, 540, 1142, 1032, 259, 272, 332, 9314, 13258, 538, 1101, 1032, 630, 520, 512, 284, 272, 264, 1269, 271, 269, 7871, 332, 12525, 2557, 476, 1789, 260, 6554, 1726, 21204, 6125, 6556, 476, 276, 260, 7813, 10211, 7963, 6556, 476, 277, 260, 10369, 14769, 2132, 476, 1015, 260, 595, 20654, 766, 540, 682, 30099, 9698, 7024, 609, 2344, 476, 271, 269, 5400, 7352, 766, 540, 2344, 14769, 7024, 476, 271, 269, 1626, 674, 3305, 781, 543, 1788, 781, 7963, 3562, 12431, 1115, 5223, 476, 2004, 260, 11872, 476, 272, 269, 9603, 547, 519, 1788, 267, 1699, 7221, 786, 2333, 676, 259, 276, 332, 1631, 630, 339, 284, 271, 264, 543, 2887, 676, 1269, 276, 332, 693, 519, 1439, 630, 339, 284, 272, 1040, 7351, 20824, 786, 711, 581, 4299, 269, 2667, 636, 6877, 3040, 634, 7963, 3562, 12431, 1115, 5223, 786, 581, 6854, 3586, 2429, 519, 1272, 540, 519, 1788, 269, 634, 2179, 540, 1719, 13258, 693, 519, 1439, 540, 1142, 1974, 814, 1044, 7157, 7229, 547, 2226, 713, 3586, 7963, 3562, 25668, 640, 5223, 269, 3040, 7085, 687, 616, 6719, 676, 1412, 332, 8339, 3040, 2353, 6666, 8928, 2049, 693, 519, 1376, 610, 1439, 540, 519, 1032, 607, 3617, 267, 711, 538, 519, 1647, 610, 2429, 519, 1032, 269, 3040, 2353, 3928, 543, 6666, 8928, 616, 1483, 269, 634, 10637, 2557, 568, 476, 273, 260, 17328, 269, 3040, 2353, 3928, 616, 2016, 607, 2500, 5993, 3928, 269, 3040, 634, 476, 2004, 260, 3854, 12374, 3454, 10958, 568, 711, 2139, 2094, 519, 1788, 568, 17298, 676, 513, 6109, 267, 711, 606, 1367, 269, 1548, 568, 519, 2121, 1459, 1871, 630, 301, 11901, 264, 540, 519, 1788, 286, 10025, 519, 1739, 1870, 1788, 547, 5478, 513, 1007, 1587, 269, 476, 5741, 4578, 5741, 1272, 476, 273, 586, 3464, 19461, 5092, 538, 3937, 259, 277, 332, 3493, 21090, 540, 3937, 829, 1032, 1269, 274, 332, 1401, 4624, 9042, 3902, 540, 3937, 693, 1439, 540, 1788, 259, 271, 269, 277, 332, 5149, 6455, 829, 1032, 476, 275, 332, 22312, 3902, 829, 1770, 1269, 279, 24438, 1942, 829, 1770, 259, 276, 674, 12089, 3790, 829, 1032, 267, 6976, 693, 519, 1439, 540, 1142, 1032, 1269, 272, 332, 9314, 13258, 829, 1032, 476, 271, 12525, 2557, 476, 1789, 260, 13379, 539, 3328, 1942, 540, 3854, 1310, 3454, 829, 3045, 636, 476, 1015, 260, 11872, 476, 272, 269, 634, 6109, 781, 1699, 7221, 543, 1699, 20824, 616, 259, 274, 332, 543, 1269, 273, 332, 6606, 1318, 1631, 269, 901, 2121, 2324, 3854, 786, 711, 581, 1031, 538, 713, 1788, 267, 621, 786, 581, 1031, 538, 824, 20775, 3785, 269, 9603, 547, 519, 1788, 267, 1699, 7221, 630, 2865, 569, 11891, 264, 786, 1332, 676, 259, 273, 332, 7620, 630, 520, 512, 815, 476, 271, 1070, 543, 1287, 676, 1269, 271, 269, 273, 332, 693, 519, 1439, 540, 519, 1101, 1032, 630, 339, 284, 272, 1040, 7351, 20824, 630, 2865, 569, 4123, 5491, 832, 264, 786, 2333, 676, 259, 271, 269, 272, 332, 693, 519, 1439, 540, 519, 1101, 1032, 630, 339, 284, 272, 1916, 4263, 519, 1439, 540, 519, 1788, 267, 519, 2121, 2324, 3854, 19017, 1813, 547, 519, 1788, 666, 581, 4421, 585, 519, 1482, 3902, 602, 621, 729, 11751, 563, 273, 269, 634, 1788, 1942, 1269, 271, 269, 276, 332, 547, 1382, 799, 729, 30309, 835, 1032, 3516, 269, 2667, 636, 6877, 3040, 2353, 6666, 8928, 2049, 693, 519, 1376, 610, 1439, 540, 519, 1032, 607, 3617, 267, 711, 538, 519, 1647, 610, 2429, 519, 1032, 269, 3040, 2353, 3928, 543, 6666, 8928, 616, 1483, 269, 634, 10637, 2557, 568, 476, 274, 260, 17328, 269, 3040, 2353, 3928, 616, 2016, 607, 2500, 5993, 3928, 269, 3040, 634, 1870, 6236, 519, 1788, 568, 2196, 607, 513, 1412, 18030, 18318, 1222, 262, 630, 14725, 676, 606, 1367, 1510, 513, 2754, 264, 543, 568, 4061, 14718, 585, 513, 476, 2004, 260, 3854, 12374, 3454, 10958, 950, 519, 3937, 568, 4421, 267, 607, 15868, 676, 519, 8241, 12525, 8433, 269, 1548, 568, 519, 4397, 2121, 1459, 1871, 630, 301, 11901, 264, 540, 519, 1788, 286, 589, 1007, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519, 1655, 942, 547, 5173, 519, 12363, 1871, 286, 1323, 2025, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519, 1655, 942, 547, 5173, 519, 12363, 1871, 286, 589, 1007, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8869, 6926, 778, 543, 17354, 994, 273, 269, 3794, 7174, 454, 274, 269, 6196, 28734, 610, 9660, 454, 275, 269, 22458, 24056, 454, 276, 269, 589, 512, 842, 11453, 454, 277, 269, 21311, 1698, 454, 278, 269, 12213, 30690, 454, 279, 269, 31947, 31576, 5622, 630, 1721, 4509, 3159, 994, 280, 269, 29139, 518, 630, 604, 2838, 2020, 3721, 476, 272, 281, 8178, 2659, 22458, 16448, 454, 6524, 4358, 519, 7004, 267, 2708, 519, 1072, 540, 707, 4552, 269, 1403, 707, 4552, 568, 8697, 267, 28221, 267, 610, 22350, 9268, 267, 2015, 7996, 2394, 621, 973, 13569, 1354, 23312, 269, 28563, 2286, 18604, 4552, 949, 1291, 547, 7050, 2736, 720, 780, 3721, 476, 273, 281, 7994, 519, 9406, 1744, 1228, 540, 2349, 27475, 454, 13356, 728, 593, 519, 3169, 12094, 540, 1025, 27475, 596, 7287, 269, 5901, 538, 2247, 602, 2469, 5393, 1769, 1318, 2476, 1223, 2014, 4049, 3441, 269, 5502, 267, 1904, 585, 513, 14402, 12094, 982, 707, 3804, 543, 24482, 12740, 519, 2681, 936, 1896, 7886, 780, 3721, 476, 274, 281, 18430, 513, 853, 8681, 4530, 454, 8110, 845, 513, 18843, 1449, 547, 7447, 875, 707, 4552, 20781, 547, 519, 6074, 6926, 778, 269, 17186, 513, 1507, 2179, 540, 6926, 778, 8869, 543, 17354, 607, 829, 10189, 8846, 269, 15233, 621, 547, 513, 6456, 3296, 540, 707, 4552, 543, 4734, 621, 585, 519, 5227, 942, 269, 681, 20600, 1055, 543, 2638, 519, 1267, 269, 1403, 13854, 267, 8399, 282, 6382, 267, 4188, 519, 3384, 942, 610, 2119, 1776, 6216, 540, 6926, 778, 780, 3721, 476, 275, 281, 16259, 2659, 3718, 10628, 454, 290, 1478, 7252, 609, 2025, 28734, 610, 14786, 547, 2061, 28969, 269, 10925, 593, 2025, 7802, 547, 2057, 8297, 1456, 1434, 3283, 269, 5620, 782, 7727, 1369, 2653, 3914, 780, 3721, 476, 276, 281, 8791, 2659, 22458, 454, 19667, 728, 707, 3819, 267, 7938, 14414, 4552, 883, 2185, 6810, 1210, 4552, 24056, 910, 1079, 693, 519, 1283, 543, 1079, 693, 519, 5377, 269, 901, 2306, 3498, 4443, 543, 811, 7833, 780, 3721, 476, 277, 281, 17186, 519, 28563, 778, 454, 23382, 710, 519, 6926, 778, 8869, 543, 17354, 2687, 547, 519, 10672, 781, 5528, 269, 15380, 267, 596, 3575, 3160, 2694, 540, 1142, 269, 853, 597, 1134, 2394, 5347, 543, 27598, 780, 3721, 476, 278, 281, 15233, 519, 28563, 778, 454, 9359, 7311, 519, 7848, 4098, 693, 519, 7475, 267, 1287, 960, 909, 2509, 519, 5072, 269, 634, 5072, 1769, 523, 5488, 1317, 789, 616, 6251, 547, 519, 21435, 799, 12958, 3002, 269, 2422, 513, 512, 842, 11453, 585, 8856, 269, 4495, 4294, 267, 5612, 2322, 593, 513, 5068, 1698, 547, 1832, 519, 6926, 778, 5848, 780, 3721, 476, 279, 281, 18554, 4886, 5384, 454, 16605, 513, 2673, 3750, 593, 519, 1646, 942, 269, 13583, 20445, 2356, 2303, 2053, 1759, 593, 4358, 4552, 2681, 543, 5551, 1439, 2164, 269, 8550, 9765, 891, 7840, 547, 7413, 3441, 780, 3721, 476, 280, 281, 681, 20600, 4934, 519, 28563, 778, 454, 305, 710, 569, 712, 4552, 8499, 896, 4881, 1216, 2394, 1100, 15244, 540, 6926, 778, 2611, 269, 7427, 609, 513, 2620, 14555, 2126, 547, 11177, 7509, 4503, 1282, 6926, 2286, 780, 3721, 476, 1015, 281, 21414, 519, 28088, 454, 13425, 2436, 596, 4312, 6913, 707, 6098, 1025, 27475, 12094, 269, 1403, 711, 267, 7227, 513, 1906, 2395, 547, 1450, 707, 4552, 547, 9156, 1354, 18110, 519, 1184, 269, 5457, 267, 2789, 7886, 6556, 1732, 2164, 1510, 4929, 1932, 1454, 2800, 547, 707, 4552, 780, 3721, 476, 1556, 281, 570, 821, 2659, 22458, 630, 2252, 3026, 10354, 994, 2252, 707, 4552, 814, 10538, 610, 5835, 896, 2023, 525, 1310, 6926, 2286, 267, 946, 513, 9522, 518, 547, 9243, 1125, 873, 269, 27619, 513, 9522, 518, 5078, 585, 707, 1808, 9333, 821, 3390, 543, 1246, 519, 3177, 5528, 780, 3721, 476, 1321, 281, 19321, 2659, 7822, 454, 8196, 13711, 31576, 5622, 2899, 513, 3018, 547, 2226, 707, 1007, 1025, 27475, 27280, 676, 25559, 532, 21567, 1465, 269, 2558, 574, 5781, 547, 4894, 8237, 7475, 543, 3895, 2635, 2208, 269, 8617, 2620, 14555, 5574, 849, 948, 1832, 707, 11954, 4552, 3168, 7524, 543, 4743, 2571, 563, 22322, 6962, 912, 9558, 819, 532, 689, 4158, 6960, 547, 1025, 27475, 3884, 1405, 513, 835, 9912, 5650, 269, 4793, 1466, 267, 1416, 267, 543, 13657, 616, 1898, 2429, 519, 3003, 1184, 269, 11408, 6432, 547, 707, 4552, 781, 2115, 543, 3343, 3318, 6351, 950, 18516, 269, 8414, 13321, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 2349, 27475, 22458, 689, 14730, 9466, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6637, 476, 277, 281, 634, 24090, 995, 2622, 540, 12518, 910, 589, 6733, 18738, 29550, 262, 5530, 540, 7233, 5020, 692, 5970, 596, 2479, 9289, 875, 2371, 1404, 971, 513, 5458, 1909, 538, 938, 2729, 286, 3245, 3246, 721, 609, 5135, 267, 1426, 267, 543, 12062, 267, 891, 3039, 2713, 1919, 616, 5963, 5863, 256, 1306, 596, 1332, 4587, 267, 596, 1522, 1616, 547, 1451, 811, 827, 873, 543, 6148, 1256, 1353, 873, 538, 2852, 835, 1554, 269, 2913, 781, 1491, 513, 1413, 693, 1018, 621, 1131, 581, 899, 547, 2263, 2030, 1272, 538, 513, 4583, 3703, 6280, 1107, 519, 2160, 540, 27257, 780, 5575, 267, 1577, 781, 1205, 547, 917, 519, 2160, 540, 27257, 1732, 269, 901, 6909, 1747, 729, 3964, 936, 513, 4627, 1296, 3516, 267, 538, 476, 5002, 271, 256, 4595, 1287, 267, 621, 814, 1831, 1634, 5001, 585, 922, 1164, 4081, 4441, 543, 5969, 12967, 1382, 6703, 269, 5994, 10647, 6901, 538, 22475, 1141, 1007, 8906, 827, 2371, 616, 1500, 1169, 1554, 256, 1215, 3579, 1131, 602, 581, 2496, 3719, 1354, 596, 3640, 707, 11435, 543, 4019, 267, 972, 781, 1945, 1572, 606, 1412, 23100, 766, 2557, 262, 602, 596, 991, 547, 1174, 269, 1323, 10343, 2557, 6645, 596, 875, 1082, 1053, 666, 6443, 519, 6280, 856, 540, 782, 1346, 945, 4294, 269, 1280, 3236, 267, 952, 519, 2160, 540, 27257, 24693, 476, 4335, 1053, 543, 476, 1911, 271, 1053, 723, 4294, 267, 1287, 922, 10343, 2557, 1131, 581, 476, 2004, 10065, 18833, 519, 10343, 2557, 786, 948, 596, 1305, 10853, 3853, 950, 4058, 585, 707, 2090, 1310, 1647, 1153, 780, 3086, 267, 1946, 1281, 4974, 2371, 2339, 865, 1454, 286, 4270, 267, 1589, 827, 3388, 789, 798, 585, 721, 256, 1358, 3132, 5810, 267, 5613, 267, 543, 5388, 602, 649, 2648, 547, 3548, 282, 789, 1711, 9249, 585, 2831, 2462, 543, 1507, 282, 543, 1034, 11932, 267, 789, 1683, 721, 609, 2973, 2011, 547, 13236, 269, 1635, 1565, 827, 2371, 538, 1469, 267, 3744, 666, 1020, 2081, 547, 2149, 873, 543, 946, 741, 2189, 7907, 547, 2087, 1480, 1272, 780, 5331, 1373, 851, 540, 513, 2319, 602, 25395, 513, 1007, 1826, 540, 7693, 602, 666, 3049, 6634, 540, 1004, 610, 4466, 513, 1259, 547, 10244, 1648, 2047, 689, 15591, 256, 1452, 616, 1175, 930, 540, 519, 7399, 7996, 585, 596, 538, 519, 2361, 540, 7762, 1415, 630, 1492, 3621, 1353, 540, 2371, 264, 543, 32443, 1729, 613, 2762, 630, 1492, 1353, 540, 2030, 3892, 6393, 4263, 519, 2160, 540, 27257, 267, 596, 1223, 4685, 2620, 883, 5396, 899, 891, 1247, 11981, 2875, 1272, 269, 1411, 949, 2307, 267, 968, 1692, 666, 594, 5965, 8885, 1631, 547, 11654, 1250, 6612, 585, 2371, 2663, 9495, 4279, 2243, 256, 3399, 676, 11287, 1114, 2010, 540, 2371, 1472, 596, 24568, 707, 8378, 267, 11614, 267, 610, 10651, 269, 8347, 3395, 707, 1378, 2371, 693, 1753, 267, 1932, 256, 16680, 707, 7422, 543, 2055, 538, 513, 4760, 267, 1175, 607, 1483, 3744, 798, 780, 2026, 585, 11836, 519, 2160, 540, 27257, 610, 1022, 824, 6280, 267, 3314, 547, 960, 2182, 2429, 1647, 543, 1164, 1153, 1317, 1434, 9344, 543, 4101, 6030, 1397, 9945, 602, 596, 2811, 13730, 543, 4712, 547, 14133, 538, 707, 6074, 2361, 269, 1656, 1810, 1405, 7340, 827, 29599, 2238, 267, 2523, 3283, 5059, 593, 2825, 15731, 610, 2146, 3028, 3785, 1644, 547, 2371, 269, 2353, 891, 2833, 786, 2285, 596, 3407, 1983, 543, 2984, 547, 2671, 1282, 707, 3498, 1184, 780, 3383, 267, 5326, 2462, 267, 1832, 3695, 519, 8748, 1158, 540, 2371, 267, 543, 3251, 8049, 256, 5808, 6487, 1018, 4241, 11580, 827, 2470, 596, 3513, 12260, 2059, 519, 1259, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 707, 1391, 585, 2362, 2069, 267, 1620, 519, 2160, 540, 27257, 20504, 766, 15580, 585, 476, 1708, 275, 568, 606, 1271, 1101, 1900, 269, 769, 713, 2376, 267, 649, 3580, 711, 1152, 10625, 519, 10343, 2557, 855, 849, 8774, 1769, 593, 12375, 267, 31213, 267, 543, 519, 16075, 1184, 693, 713, 20380, 9872, 563, 1103, 519, 2295, 540, 27257, 267, 4789, 267, 6763, 519, 2160, 540, 27257, 267, 513, 581, 13154, 540, 4081, 17284, 543, 5647, 269, 2060, 922, 3638, 1686, 6580, 1394, 547, 476, 5002, 271, 267, 519, 6280, 814, 9846, 1044, 6444, 585, 922, 11826, 4081, 4441, 267, 1158, 11665, 1382, 6703, 267, 543, 7524, 2875, 1272, 563, 15371, 596, 2461, 606, 14971, 16159, 11235, 547, 979, 883, 519, 17909, 540, 1702, 610, 513, 27503, 3318, 5275, 547, 21592, 707, 4876, 267, 1620, 519, 2160, 540, 27257, 779, 10343, 2557, 267, 12375, 267, 20823, 267, 543, 16075, 4170, 568, 1271, 585, 1818, 606, 5483, 3375, 827, 707, 4081, 2104, 563, 10666, 2160, 540, 27257, 454, 17206, 540, 27257, 20504, 766, 15580, 454, 763, 2160, 540, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 15636, 1415, 1315, 24695, 1729, 613, 2762, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 9213, 267, 649, 786, 7832, 593, 606, 3078, 3460, 998, 942, 543, 2230, 547, 2263, 513, 4241, 24848, 516, 540, 5708, 910, 3140, 15832, 9089, 1305, 1282, 519, 11193, 1974, 609, 513, 19266, 622, 6249, 538, 519, 11335, 3148, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 10544, 707, 5172, 844, 650, 267, 13504, 6202, 267, 543, 533, 1105, 618, 267, 543, 1205, 4712, 547, 4685, 883, 513, 1158, 2407, 540, 7045, 267, 6612, 267, 543, 26675, 2439, 5331, 3054, 2713, 7366, 540, 1296, 3516, 950, 15999, 9635, 12199, 519, 15798, 267, 12703, 17701, 4362, 1007, 3338, 267, 543, 1566, 12040, 5493, 2167, 16079, 539, 609, 26866, 619, 540, 6264, 11084, 543, 11509, 15413, 3547, 269, 634, 11193, 729, 606, 5736, 6825, 676, 7499, 32193, 267, 3621, 8906, 267, 543, 2797, 1379, 9620, 269, 27933, 560, 782, 891, 2621, 267, 1004, 1869, 8593, 7184, 538, 2648, 267, 4810, 7920, 4664, 267, 543, 5185, 2352, 5079, 269, 3807, 899, 721, 2221, 2439, 3086, 267, 4605, 938, 12325, 543, 5869, 1149, 22892, 2066, 519, 31394, 7297, 540, 519, 11335, 7256, 20829, 23836, 575, 4150, 976, 267, 32626, 30217, 748, 15420, 267, 546, 617, 3101, 678, 3578, 1652, 4357, 619, 267, 543, 3695, 16678, 16788, 4904, 609, 6456, 11580, 269, 16319, 13858, 267, 3085, 1405, 621, 286, 3767, 4952, 873, 4687, 13730, 32741, 9624, 971, 5906, 1394, 323, 28979, 269, 2334, 781, 1018, 19266, 622, 32741, 538, 519, 11335, 616, 782, 827, 2439, 4131, 803, 6338, 930, 2442, 4798, 1336, 1369, 891, 8941, 1384, 272, 269, 2878, 2690, 321, 5200, 11146, 5093, 5994, 1079, 18798, 688, 4979, 689, 21535, 532, 15626, 3885, 610, 5310, 835, 1373, 3808, 676, 10279, 1247, 519, 824, 1032, 985, 585, 5191, 269, 4256, 2648, 1522, 581, 535, 27547, 2390, 1813, 547, 6848, 6788, 610, 1920, 15180, 1845, 267, 2943, 741, 3768, 3539, 20174, 3788, 32344, 1996, 782, 12918, 780, 273, 269, 2878, 3849, 1203, 675, 693, 7256, 5093, 667, 9734, 30443, 802, 1472, 1169, 7944, 607, 938, 23233, 6330, 829, 559 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6432, 32348, 609, 606, 6364, 547, 1451, 563, 17829, 616, 676, 2484, 930, 540, 519, 23698, 7391, 547, 723, 1317, 789, 2154, 513, 1268, 547, 581, 7925, 543, 22973, 543, 6542, 602, 789, 723, 1434, 15752, 547, 1616, 547, 1174, 513, 1268, 540, 2681, 779, 5030, 2833, 563, 10190, 267, 835, 1590, 2253, 676, 1373, 10853, 827, 1141, 547, 1376, 593, 713, 3460, 267, 875, 547, 1832, 519, 6643, 3001, 4464, 1418, 1227, 267, 543, 875, 547, 968, 13765, 2987, 892, 547, 2327, 8994, 4606, 540, 18497, 3350, 267, 5385, 267, 543, 2208, 269, 10705, 267, 1004, 3100, 547, 5635, 741, 3460, 547, 1866, 2443, 855, 519, 4641, 568, 267, 1100, 835, 1268, 12034, 5198, 610, 10168, 998, 519, 1482, 6292, 540, 9782, 23469, 14485, 269, 898, 782, 5673, 593, 875, 513, 1268, 729, 6659, 610, 1018, 646, 949, 723, 1044, 6534, 547, 2663, 538, 1272, 610, 6148, 1256, 513, 15779, 2680, 602, 814, 2451, 6857, 12886, 610, 16398, 269, 898, 779, 782, 513, 27795, 540, 1565, 267, 543, 3025, 814, 547, 581, 6899, 609, 741, 1378, 26101, 4358, 1448, 563, 18455, 9237, 827, 4743, 26101, 666, 849, 581, 16779, 543, 267, 936, 942, 267, 786, 1450, 1004, 547, 723, 891, 13710, 7391, 1256, 952, 789, 1745, 13943, 7620, 269, 1306, 519, 8748, 543, 3735, 25288, 14068, 518, 717, 1231, 7921, 865, 28020, 7150, 267, 968, 11854, 752, 707, 2247, 267, 1256, 952, 707, 5639, 695, 1389, 1848, 2334, 5168, 267, 607, 7334, 543, 17559, 607, 621, 4667, 267, 568, 519, 9997, 7067, 649, 991, 547, 2253, 547, 1294, 1142, 824, 779, 16398, 543, 1265, 513, 1259, 547, 12115, 873, 267, 1927, 2443, 543, 602, 6238, 676, 6158, 563, 763, 942, 585, 602, 22672, 11238, 568, 1631, 267, 607, 621, 568, 16122, 602, 607, 513, 4182, 649, 1451, 547, 24905, 548, 519, 7496, 602, 28511, 513, 13842, 995, 543, 8954, 633, 1062, 540, 721, 268, 951, 639, 2389, 1335, 269, 4495, 513, 1268, 16976, 547, 3479, 547, 519, 3460, 540, 4550, 268, 2350, 1143, 267, 1352, 666, 1287, 2253, 519, 18216, 691, 545, 3460, 540, 2686, 21548, 267, 11093, 519, 1268, 267, 519, 1480, 267, 4009, 569, 693, 519, 4099, 543, 8220, 547, 782, 519, 8748, 4162, 602, 789, 3142, 267, 971, 607, 741, 5198, 267, 14940, 267, 2528, 267, 4008, 267, 4984, 543, 4638, 10066, 269, 769, 713, 2230, 267, 835, 666, 2253, 547, 4309, 543, 8956, 513, 3099, 540, 5380, 267, 799, 5555, 5012, 547, 4466, 3152, 4313, 538, 519, 26101, 1533, 540, 4358, 267, 2502, 538, 543, 1256, 2921, 513, 4514, 4685, 883, 19929, 1472, 811, 11786, 3584, 267, 971, 607, 3043, 6526, 1006, 610, 1256, 17979, 269, 898, 568, 827, 2981, 1049, 1689, 543, 267, 899, 3388, 3116, 538, 1272, 602, 568, 4502, 2348, 267, 621, 3217, 942, 543, 4674, 543, 3340, 513, 3152, 1377, 540, 9837, 1275, 543, 7029, 563, 1607, 568, 519, 1665, 602, 930, 3549, 4413, 950, 16042, 16692, 296, 960, 282, 789, 7340, 602, 16692, 296, 960, 568, 2295, 543, 9997, 960, 543, 3340, 513, 1279, 268, 543, 2110, 3856, 4640, 602, 9727, 1312, 9837, 543, 7029, 538, 1507, 267, 15889, 2081, 855, 849, 538, 2462, 267, 3087, 894, 2081, 269, 23875, 1058, 581, 968, 4752, 519, 3349, 892, 952, 2944, 22992, 543, 6461, 1227, 609, 9837, 1275, 269, 1160, 5562, 29621, 568, 1018, 3549, 1058, 11441, 585, 3232, 267, 1141, 741, 9837, 568, 6027, 676, 875, 789, 3442, 547, 24244, 519, 9739, 267, 2833, 543, 5380, 540, 12790, 1004, 267, 2516, 543, 1256, 19237, 563, 2005, 779, 942, 547, 1265, 4313, 538, 519, 26101, 1145, 1317, 519, 16563, 568, 9960, 22293, 2443, 543, 602, 22293, 899, 513, 3644, 568, 10825, 267, 4929, 14784, 267, 23998, 543, 6498, 563, 13825, 13860, 595, 269, 632, 685, 4537, 599, 568, 519, 10324, 8689, 540, 16844, 15557, 19137, 269, 634, 13423, 727, 540, 513, 7519, 528, 945, 2966, 606, 18532, 1272, 4904, 609, 1967, 593, 1200, 2474, 267, 632, 685, 4537, 599, 568, 513, 1689, 8665, 945, 2451, 513, 9746, 4876, 540, 811, 982, 476, 1428, 1296, 547, 1376, 1200, 1378, 7802, 6003, 543, 4196, 1200, 2146, 563, 5649, 519, 824, 4930, 602, 616, 851, 540, 713, 968, 291, 1751, 267, 24054, 543, 29621, 281, 634, 5384, 1772, 3767, 892, 3382, 1650, 269, 0, 1103, 513, 1007, 1353, 267, 3173, 1336, 2021, 4171, 11326, 4043, 547, 3049, 6553, 949, 723, 513, 2362, 1981, 540, 6089, 2860, 563, 5445, 7318, 811, 982, 476, 12573, 267, 1822, 2021, 543, 1336, 602, 519, 811, 968, 2889, 13611, 892, 3536, 2021, 10057, 519, 2362, 741, 6089, 2860, 1981, 563, 763, 2165, 4016, 547, 3536, 2219, 547, 3565, 547, 5312, 1970, 17263, 6553, 2429, 519, 1560, 12544, 1533, 26582, 538, 1585, 2068, 3157, 563, 763, 4681, 1039, 547, 2963, 602, 2732, 666, 1860, 519, 10171, 540, 3384, 6089, 2860, 563, 291, 2884, 6208, 723, 1044, 5532, 547, 519, 1981, 540, 3875, 11871, 267, 6089, 2860, 1851, 873, 563, 1103, 519, 1353, 267, 519, 2319, 5059, 593, 513, 605, 13611, 2732, 267, 799, 568, 1164, 538, 2699, 543, 9268, 16469, 267, 4006, 543, 15459, 9600, 563, 5445, 1031, 1239, 689, 513, 1279, 8573, 7342, 1382, 1788, 593, 2732, 543, 2860, 1981, 1851, 3864, 4079, 269, 1358, 5059, 593, 811, 982, 476, 28760, 267, 1822, 2021, 945, 941, 1863, 540, 6089, 2860, 693, 519, 856, 3553, 563, 763, 3173, 8655, 1142, 4807, 513, 6060, 12773, 519, 968, 514, 11987, 1761, 892, 540, 1200, 2732, 267, 1759, 593, 519, 5567, 543, 824, 7135, 538, 519, 3536, 1352, 4080, 4189, 563, 7021, 827, 476, 1428, 1296, 267, 811, 982, 476, 1724, 267, 1220, 2021, 941, 8995, 609, 6089, 2860, 269, 2334, 1981, 729, 476, 1321, 260, 2362, 1851, 519, 835, 1922, 604, 628, 540, 2021, 609, 519, 1034, 12982, 11326, 267, 8957, 519, 835, 1922, 604, 628, 4189, 519, 1906, 652, 605, 13611, 3536, 563, 763, 3095, 729, 6793, 1851, 2021, 945, 2919, 2860, 1354, 22797, 267, 2864, 982, 1310, 563, 288, 605, 13611, 2732, 949, 3565, 547, 6089, 2860, 1317, 621, 8992, 6553, 267, 543, 849, 1317, 621, 779, 15877, 538, 3536, 602, 4339, 6553, 563, 17829, 3536, 1331, 5388, 267, 5613, 267, 10365, 267, 6775, 11656, 9274, 543, 968, 16591, 892, 5667, 18260, 9600, 563, 763, 4681, 616, 538, 1899, 609, 2963, 602, 8192, 3270, 3638, 538, 2030, 3536, 543, 2539, 538, 3662, 2472, 543, 15568, 11950, 616, 2404, 609, 513, 2539, 1981, 540, 6089, 2860, 563, 2252, 596, 1416, 827, 6089, 2860, 267, 5225, 1224, 2090, 827, 713, 3987, 3075, 949, 948, 1521, 10728, 6089, 2860, 543, 4681, 540, 3257, 713, 666, 2333, 2669, 1981, 538, 6089, 2860, 563, 2690, 811, 1344, 827, 6089, 2860, 543, 707, 1072, 267, 5225, 1294, 2487, 2090, 827, 713, 1455, 20892, 949, 2333, 2669, 1981, 538, 6089, 2860, 543, 2164, 6029, 602, 4922, 1031, 1973, 2604, 5061, 949, 2333, 2669, 1981, 538, 6089, 2860, 563, 763, 1353, 729, 4843, 693, 519, 5993, 5870, 540, 519, 1977, 5980, 585, 12594, 269, 2290, 2278, 540, 519, 1353, 568, 14161, 7974, 10011, 549, 7232, 4944, 514, 563, 15648, 9736, 476, 1708, 272, 5700, 16466, 3163, 7797, 269, 2353, 2924, 11603, 269, 0, 1607, 1362, 568, 1100, 3476, 2139, 267, 855, 649, 1336, 1945, 2147, 2336, 276, 269, 271, 630, 276, 264, 5788, 12698, 476, 279, 268, 1556, 454, 13043, 10632, 543, 4317, 11833, 585, 476, 274, 6113, 1299, 476, 275, 628, 27240, 619, 454, 276, 269, 271, 630, 10695, 264, 5788, 12698, 476, 278, 268, 280, 454, 289, 5090, 3101, 4569, 10341, 3245, 476, 273, 526, 547, 476, 274, 6113, 6103, 454, 276, 269, 271, 630, 7597, 264, 5788, 12698, 476, 280, 268, 1321, 454, 21430, 4569, 5269, 23281, 9462, 498, 351, 6930, 356, 510, 454, 276, 269, 271, 630, 279, 264, 5788, 12698, 476, 277, 268, 279, 454, 13043, 5025, 5336, 16492, 11833, 630, 277, 268, 279, 5729, 6196, 338, 2567, 7089, 23281, 543, 4569, 12700, 454, 276, 269, 271, 630, 2764, 264, 5788, 12698, 476, 277, 268, 280, 454, 300, 26663, 4569, 10632, 11833, 2336, 276, 269, 271, 630, 10436, 264, 5788, 12698, 476, 279, 268, 1015, 454, 289, 5090, 3101, 4569, 10341, 3245, 476, 274, 6113, 6103, 20553, 476, 275, 628, 6103, 454, 25911, 3496, 2920, 281, 589, 4569, 16709, 454, 25911, 766, 10253, 616, 513, 3730, 1259, 547, 2203, 12408, 543, 15821, 4834, 269, 1284, 786, 1451, 519, 9238, 543, 1287, 2322, 938, 5876, 547, 519, 1449, 267, 16116, 909, 930, 8870, 12980, 2259, 2059, 519, 1259, 563, 9617, 514, 28469, 1512, 267, 1912, 6185, 563, 278, 2698, 8039, 585, 713, 4116, 454, 272, 2689, 585, 713, 1362, 454, 4467, 921, 1540, 676, 476, 274, 6267, 454, 2467, 616, 1100, 14232, 5049, 563, 3598, 2996, 829, 1362, 454, 1692, 1281, 513, 834, 3080, 6874, 830, 257, 1362, 960, 888, 9288, 1115, 2899, 693, 513, 16516, 942, 454, 299, 633, 3381, 10004, 267, 6592, 543, 16913, 585, 3106, 543, 2298, 454, 15124, 585, 3695, 1007, 4690, 543, 1114, 6163, 540, 3610, 454, 1692, 4934, 25217, 3718, 454, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 563, 2791, 666, 7662, 1776, 942, 610, 20801, 1524, 547, 1265, 811, 5049, 899, 713, 563, 1607, 568, 513, 2979, 3408, 267, 865, 1034, 540, 519, 2875, 1565, 786, 4755, 607, 789, 1865, 543, 512, 28310, 609, 513, 5311, 540, 3638, 2979, 13410, 543, 2591, 269, 634, 1292, 3853, 540, 713, 1576, 616, 547, 1628, 8465, 12980, 3206, 585, 1053, 543, 547, 5000, 15821, 6208, 540, 2247, 269, 898, 781, 849, 606, 4367, 547, 4244, 1297, 1949, 630, 3697, 9352, 1070, 607, 1134, 607, 606, 11791, 543, 3860, 2979, 1995, 256, 2991, 31047, 543, 930, 3636, 5346, 12980, 5751, 267, 594, 3513, 6338, 3666, 4336, 2483, 2467, 616, 1082, 6310, 2035, 602, 949, 2097, 909, 607, 649, 960, 593, 519, 1966, 267, 4470, 593, 519, 1806, 1053, 2097, 909, 609, 543, 741, 1991, 1702, 269, 2368, 2035, 1331, 281, 1840, 543, 12408, 540, 9981, 267, 8465, 12980, 3206, 267, 14595, 13279, 630, 3697, 9352, 543, 512, 1716, 776, 1070, 1818, 606, 6896, 1592, 267, 543, 1966, 6061, 2994, 563, 296, 6026, 918, 268, 1321, 2979, 585, 4557, 1296, 267, 538, 1312, 4928, 543, 23918, 5468, 269, 3973, 936, 519, 2250, 2947, 1296, 267, 594, 4312, 6192, 1250, 12854, 538, 2979, 267, 1141, 1250, 1382, 568, 538, 9511, 543, 23289, 269, 18964, 6310, 7279, 543, 4543, 1004, 547, 723, 2318, 2979, 2833, 616, 1250, 18653, 563, 5278, 10137, 2042, 786, 581, 6035, 693, 519, 1439, 540, 1362, 607, 1491, 25498, 563, 272, 3758, 2139, 2390, 27350, 10743, 786, 991, 513, 1603, 24881, 559, 267, 543, 972, 568, 513, 4015, 540, 3211, 547, 4647, 543, 1820, 1354, 1362, 563, 7075, 2996, 786, 711, 991, 547, 946, 1022, 8924, 610, 7270, 3564, 519, 3044, 4934, 25217, 2645, 563, 2004, 3764, 829, 3018, 538, 1362, 267, 543, 6148, 930, 942, 3544, 540, 1362, 563, 9617, 514, 28469, 1512, 267, 1912, 6185, 2529, 327, 2130, 2318, 543, 3860, 2979, 2833, 454, 278, 2698, 8039, 454, 279, 6192, 5049, 454, 17098, 256, 594, 4001, 2979, 5049, 593, 4934, 25217, 269, 3733, 3804, 568, 547, 2671, 2318, 543, 3860, 2979, 2833, 609, 1053, 269, 3733, 5049, 616, 513, 1390, 3514, 585, 1053, 945, 2907, 2648, 2979, 543, 945, 1616, 811, 282, 585, 1053, 945, 723, 1185, 2942, 2833, 609, 1862, 0, 21914, 32363, 613, 639, 11542, 29691, 1010, 19289, 267, 575, 5074, 856, 693, 519, 4262, 269, 1261, 729, 2407, 540, 4250, 543, 4160, 269, 18320, 1454, 942, 1185, 5293, 2094, 1010, 5067, 1452, 639, 30774, 689, 18603, 547, 519, 6532, 540, 11511, 974, 269, 634, 23723, 2103, 1185, 6738, 13110, 540, 4758, 741, 14930, 543, 20766, 909, 607, 24744, 547, 519, 3687, 520, 712, 267, 513, 1395, 560, 9317, 3368, 25993, 267, 3368, 1532, 1638, 13442, 602, 5030, 538, 513, 2978, 31307, 540, 25310, 9944, 519, 31350, 534, 4622, 779, 19289, 269, 4858, 557, 1452, 639, 1185, 8067, 1229, 5128, 607, 513, 15093, 282, 646, 1131, 2119, 547, 14710, 519, 20599, 269, 1306, 646, 2695, 842, 539, 896, 519, 6505, 3141, 267, 32363, 613, 639, 4718, 513, 6928, 538, 519, 3845, 269, 1261, 2269, 1441, 1010, 4064, 547, 1294, 519, 2681, 540, 519, 521, 5661, 269, 1452, 639, 1185, 2451, 609, 3109, 521, 5661, 267, 9621, 602, 952, 646, 729, 4619, 16124, 267, 646, 1131, 1689, 873, 547, 3043, 521, 5661, 2390, 1010, 2132 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 15915, 543, 941, 9575, 12707, 335, 1563, 547, 4308, 609, 8185, 11439, 14082, 14255, 657, 20136, 568, 519, 2601, 585, 14082, 3355, 18454, 538, 10323, 5607, 855, 2899, 513, 30017, 1379, 267, 589, 576, 327, 267, 23652, 741, 6928, 1374, 267, 789, 4503, 741, 5413, 693, 4262, 543, 941, 7142, 883, 519, 17872, 563, 1607, 2038, 476, 1704, 628, 2540, 5373, 676, 2696, 514, 14833, 632, 661, 1042, 807, 20186, 519, 26362, 540, 5689, 3147, 320, 676, 589, 576, 327, 563, 2171, 666, 1294, 2947, 1507, 589, 576, 327, 575, 4150, 976, 16298, 909, 547, 4123, 3376, 338, 1938, 609, 513, 1804, 14082, 575, 4150, 517, 1247, 1776, 1079, 616, 20590, 741, 29523, 669, 553, 619, 630, 516, 541, 15963, 264, 693, 519, 1482, 14082, 6928, 563, 763, 589, 576, 327, 26010, 729, 967, 24934, 337, 3990, 538, 519, 16368, 781, 2511, 540, 17189, 13137, 799, 15091, 519, 1909, 540, 1804, 575, 4150, 903, 269, 717, 4150, 976, 941, 6854, 1507, 543, 2016, 6281, 5107, 269, 717, 4150, 976, 3710, 676, 589, 576, 327, 2760, 8604, 547, 9765, 476, 1220, 9748, 7868, 7887, 7523, 2917, 4061, 814, 2141, 1044, 519, 17514, 1222, 540, 519, 589, 576, 327, 26010, 563, 7712, 30017, 795, 29330, 941, 1219, 523, 1088, 612, 1996, 14082, 14255, 657, 267, 16269, 30403, 547, 581, 3710, 538, 2038, 476, 1626, 628, 2540, 269, 14570, 941, 7142, 547, 1628, 4130, 543, 5488, 9635, 269, 8307, 589, 576, 327, 7307, 547, 5299, 3864, 6272, 1813, 547, 741, 2673, 13218, 609, 519, 16368, 7276, 563, 3528, 519, 476, 1704, 628, 2540, 267, 811, 30017, 7060, 9715, 519, 1702, 547, 1628, 3864, 2511, 9635, 7868, 1283, 512, 1512, 30017, 9467, 7060, 941, 589, 576, 327, 32390, 656, 523, 267, 21595, 10603, 836, 543, 25120, 817, 541, 269, 4322, 25267, 2968, 5393, 14547, 676, 14723, 543, 24996, 9467, 602, 789, 941, 581, 325, 686, 2105, 676, 3864, 7060, 971, 607, 4789, 267, 293, 8896, 267, 291, 523, 5658, 32586, 16368, 7276, 543, 1256, 17577, 263, 514, 25120, 817, 541, 1040, 4322, 3864, 7060, 949, 723, 3838, 930, 2930, 1702, 609, 741, 30017, 16167, 538, 1931, 547, 4831, 519, 4222, 540, 519, 10656, 5101, 28851, 7577, 630, 309, 8016, 1916, 29557, 512, 1512, 30017, 7060, 899, 11835, 1817, 543, 808, 3711, 328, 1152, 1185, 535, 3419, 622, 1826, 9635, 1572, 1178, 2125, 630, 724, 528, 11274, 264, 607, 741, 7887, 10617, 4721, 269, 6097, 547, 519, 1433, 3778, 540, 11835, 1817, 676, 21614, 12736, 23264, 339, 267, 476, 1704, 628, 2540, 11835, 1817, 1185, 1063, 476, 1911, 268, 1220, 4559, 540, 1079, 543, 1614, 15958, 539, 1178, 2125, 563, 7712, 594, 666, 1405, 1265, 5961, 540, 30017, 1178, 2125, 267, 891, 533, 923, 540, 4095, 3283, 2285, 721, 930, 2856, 540, 1018, 789, 6743, 899, 20193, 568, 4502, 15663, 602, 12075, 1152, 3459, 2679, 1178, 2125, 538, 519, 476, 1240, 628, 2540, 269, 0, 7312, 1101, 4640, 1058, 581, 547, 1118, 2386, 707, 1126, 781, 4064, 616, 13761, 8499, 693, 2834, 4387, 11564, 267, 607, 4330, 1657, 269, 1403, 596, 2811, 711, 13854, 267, 2911, 609, 707, 1126, 781, 4387, 269, 1656, 952, 596, 2811, 1869, 711, 6126, 609, 519, 1377, 540, 1416, 267, 676, 782, 1797, 1205, 513, 2034, 6644, 689, 2576, 596, 3972, 267, 2436, 602, 781, 1776, 12963, 1014, 267, 606, 29555, 332, 6048, 267, 610, 606, 1904, 2210, 2077, 563, 302, 20953, 332, 5505, 616, 2564, 7189, 945, 723, 21783, 689, 2564, 1153, 543, 945, 20647, 538, 3750, 1416, 543, 3750, 6391, 269, 744, 20953, 332, 5505, 666, 13209, 543, 1521, 3750, 3676, 282, 798, 3750, 11400, 282, 21559, 6527, 267, 2363, 1122, 28904, 267, 543, 3346, 14485, 282, 543, 1685, 6391, 563, 303, 8824, 29555, 332, 5505, 723, 3606, 2866, 538, 10551, 543, 2564, 2126, 540, 3750, 2068, 538, 1453, 563, 18893, 2210, 28748, 616, 711, 2564, 7189, 855, 7189, 540, 1904, 5852, 267, 8036, 543, 13931, 547, 4983, 519, 4064, 543, 13209, 543, 1521, 5075, 2042, 609, 14296, 267, 17066, 267, 543, 3797, 269, 8838, 2210, 28748, 666, 849, 21559, 930, 6527, 563, 18893, 5974, 1118, 543, 7006, 1619, 14296, 543, 824, 9804, 3688, 269, 1358, 2811, 8036, 547, 6445, 519, 7828, 13310, 3177, 676, 519, 29555, 332, 6048, 610, 519, 1904, 2210, 2077, 267, 538, 1454, 519, 1482, 1259, 602, 14278, 1235, 6445, 4387, 781, 1095, 18587, 269, 0, 2704, 4022, 543, 1411, 454, 7804, 9722, 4568, 568, 513, 1455, 1514, 2534, 585, 1082, 2021, 269, 1717, 267, 649, 1810, 1405, 2141, 1589, 827, 519, 2009, 4220, 602, 949, 581, 2404, 609, 6704, 267, 6862, 1174, 602, 1346, 4220, 616, 1114, 585, 2367, 543, 585, 2021, 563, 2467, 616, 930, 3871, 950, 4568, 4616, 814, 2799, 4220, 269, 1703, 616, 513, 1297, 540, 4220, 547, 513, 3384, 4816, 952, 513, 4807, 10425, 4568, 950, 9176, 269, 2353, 10425, 609, 4568, 666, 581, 5739, 547, 513, 3384, 4816, 269, 15850, 568, 538, 14420, 267, 9174, 267, 2182, 4508, 528, 267, 3579, 619, 543, 524, 11107, 269, 1703, 568, 1100, 1634, 2922, 2179, 540, 4568, 267, 693, 1022, 3942, 540, 6379, 602, 786, 4625, 2061, 519, 1981, 540, 2348, 513, 1126, 609, 674, 13926, 15850, 25400, 13081, 630, 293, 32359, 1040, 0, 1607, 3296, 2488, 513, 2110, 6609, 540, 782, 519, 2101, 3615, 538, 519, 1433, 269, 901, 666, 581, 9102, 856, 607, 513, 1353, 3391, 585, 1053, 267, 1031, 607, 513, 834, 4486, 257, 585, 3056, 513, 1362, 4901, 267, 610, 596, 666, 7914, 547, 519, 7688, 10774, 727, 1740, 3296, 547, 1265, 3211, 602, 6451, 891, 11673, 883, 513, 3099, 540, 2243, 12043, 563, 295, 1961, 910, 634, 15669, 2729, 1934, 538, 1931, 547, 12404, 5128, 689, 519, 1964, 540, 519, 1158, 563, 8867, 1430, 16684, 13826, 910, 901, 1843, 568, 2016, 547, 519, 15669, 676, 519, 3043, 2367, 693, 519, 8630, 1310, 646, 814, 1044, 1208, 559, 7007, 609, 824, 3109, 8695, 563, 20112, 523, 4303, 910, 634, 15669, 568, 30461, 1317, 646, 3217, 6004, 269, 17368, 517, 1934, 563, 4131, 1562, 540, 24805, 566, 910, 1452, 616, 2016, 547, 519, 15669, 676, 3220, 269, 645, 1194, 810, 324, 543, 616, 711, 1018, 519, 5869, 14659, 789, 616, 563, 299, 756, 1068, 344, 10266, 1206, 910, 634, 5869, 814, 606, 8009, 1934, 799, 3338, 2483, 1607, 3296, 3568, 476, 4489, 1913, 2008, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 19324, 23569, 9435, 4400, 5937, 846, 15580, 630, 8461, 305, 264, 4858, 16408, 1492, 2805, 454, 9596, 2859, 6168, 10507, 23569, 9435, 4400, 5937, 846, 15580, 4858, 16408, 1492, 2805, 281, 13378, 609, 2974, 1923, 19478, 2974, 454, 11947, 5937, 846, 15580, 630, 8461, 305, 264, 4858, 16408, 1492, 2805, 585, 10507, 23569, 9435, 454, 4263, 9435, 9615, 15544, 540, 3013, 630, 6311, 7563, 1070, 649, 946, 1164, 1673, 846, 2557, 630, 8461, 305, 264, 2909, 16408, 1492, 2805, 547, 1683, 5730, 5982, 2126, 1247, 838, 2130, 4478, 2635, 8031, 563, 1607, 1826, 540, 4835, 5982, 3797, 2636, 585, 1164, 13066, 540, 5982, 547, 581, 5116, 538, 610, 1472, 1965, 23569, 2860, 547, 8308, 6861, 519, 29406, 2281, 269, 670, 11403, 2909, 16408, 1492, 2805, 2636, 707, 5982, 32346, 6048, 547, 17982, 1164, 13066, 540, 5982, 609, 8766, 4598, 547, 2635, 8031, 538, 519, 24647, 543, 7404, 7181, 563, 19284, 930, 2909, 16408, 1492, 2805, 2553, 267, 670, 11403, 2909, 16408, 1492, 2805, 3096, 10151, 26005, 5116, 538, 519, 1560, 998, 6094, 267, 17860, 25108, 1562, 269, 634, 17568, 540, 519, 25108, 1562, 568, 5393, 5730, 267, 4180, 519, 26005, 616, 5116, 5265, 269, 634, 26005, 616, 2451, 593, 610, 1472, 519, 10510, 547, 5838, 519, 2953, 2179, 540, 5982, 269, 1284, 946, 2780, 5583, 1949, 547, 1852, 875, 2484, 519, 26005, 979, 883, 519, 25108, 1562, 543, 875, 1279, 789, 3251, 538, 519, 25108, 1562, 269, 901, 1505, 540, 5982, 2126, 3091, 513, 18334, 267, 811, 2500, 1259, 547, 2285, 5982, 547, 2550, 945, 20618, 563, 11795, 22187, 24948, 568, 513, 1455, 2427, 1198, 540, 1965, 23569, 2860, 5982, 2126, 269, 589, 8023, 8546, 568, 1419, 17332, 1354, 5982, 2126, 4386, 267, 543, 606, 1965, 23569, 588, 550, 666, 581, 2322, 538, 1310, 2126, 547, 1832, 519, 24647, 1930, 563, 8461, 305, 2909, 16408, 1492, 2805, 666, 581, 1031, 607, 513, 23080, 14306, 2268, 585, 1965, 23569, 2860, 2550, 547, 3247, 610, 24390, 3742, 11702, 538, 519, 24647, 563, 20238, 2747, 3797, 666, 849, 581, 5916, 609, 18068, 547, 1521, 1965, 23569, 2860, 269, 634, 1576, 540, 2126, 5673, 593, 519, 3942, 543, 1826, 540, 1965, 23569, 2860, 563, 9202, 13445, 281, 594, 17307, 307, 585, 10507, 23569, 9435, 0, 1607, 14266, 7018, 538, 519, 2250, 269, 901, 3896, 568, 2139, 585, 21141, 5301, 1152, 563, 8698, 540, 21499, 689, 519, 5617, 1386, 699, 454, 303, 20557, 1063, 476, 11260, 280, 543, 476, 12293, 271, 267, 13852, 582, 1729, 781, 31858, 25271, 7348, 540, 21499, 689, 519, 5617, 1386, 699, 568, 519, 1034, 4583, 540, 1010, 24369, 10207, 540, 21499, 267, 5356, 513, 27789, 642, 16695, 540, 519, 2749, 269, 13852, 582, 1729, 3576, 1010, 2070, 689, 519, 16592, 5617, 1386, 699, 267, 851, 540, 513, 19289, 1950, 3710, 585, 13584, 26290, 2940, 540, 14205, 1195, 538, 519, 2038, 476, 15094, 271, 338, 630, 1492, 14692, 540, 922, 3655, 9809, 1228, 8813, 2066, 519, 32215, 1040, 3245, 1010, 642, 656, 720, 1448, 693, 519, 1283, 540, 519, 14629, 519, 7376, 729, 2111, 547, 9446, 609, 8984, 8856, 519, 9030, 18845, 540, 519, 3854, 267, 689, 519, 3573, 10651, 540, 519, 5617, 1386, 699, 538, 519, 32215, 547, 519, 15113, 540, 519, 21499, 18137, 538, 519, 2484, 3845, 269, 13852, 582, 1729, 1360, 2693, 6964, 513, 8254, 25848, 3120, 630, 534, 2038, 1106, 540, 2070, 1265, 518, 264, 547, 948, 7001, 519, 6429, 593, 1957, 269, 6736, 1010, 7805, 535, 23474, 547, 519, 1327, 1446, 267, 2705, 267, 646, 3576, 23118, 609, 519, 3135, 267, 735, 7675, 519, 2749, 781, 1544, 547, 13918, 1010, 5888, 269, 901, 4847, 1864, 547, 1331, 2484, 811, 540, 922, 6189, 982, 568, 2009, 538, 4641, 563, 19950, 539, 538, 1863, 17914, 286, 8437, 1934, 547, 1451, 811, 563, 5194, 4324, 267, 1818, 595, 658, 529, 865, 2442, 267, 568, 513, 7872, 547, 4444, 595, 658, 529, 2228, 10958, 563, 310, 1180, 1359, 875, 547, 4444, 524, 658, 529, 13598, 610, 524, 658, 529, 6216, 286, 16179, 595, 658, 529, 2228, 538, 938, 13931, 26849, 256, 0, 8702, 547, 1230, 20960, 17520, 543, 12870, 454, 21618, 2986, 12870, 1656, 17520, 9137, 454, 269, 1280, 513, 8628, 3095, 547, 713, 2376, 267, 610, 547, 1433, 5658, 621, 585, 2417, 2542, 267, 4945, 1934, 563, 2791, 949, 849, 6432, 547, 713, 2376, 676, 1210, 519, 1739, 8060, 563, 5825, 783, 10076, 13262, 12580, 543, 4039, 1314, 566, 9828, 5228, 281, 1230, 20960, 17520, 543, 12870, 454, 763, 2042, 1004, 1995, 609, 2566, 616, 1419, 5258, 883, 519, 2168, 543, 519, 2790, 269, 10076, 2566, 2589, 602, 1004, 949, 1995, 950, 789, 616, 7092, 689, 3768, 826, 2566, 949, 1331, 2589, 602, 1860, 1312, 519, 2623, 543, 519, 5042, 2694, 540, 741, 20369, 3832, 269, 2368, 540, 519, 2790, 2566, 2589, 602, 568, 4448, 609, 519, 5042, 851, 540, 513, 1268, 1331, 2042, 609, 3965, 12802, 267, 3668, 540, 1697, 10385, 267, 3586, 2258, 18356, 267, 1373, 513, 5855, 23702, 267, 967, 1815, 529, 4369, 543, 1256, 14221, 4555, 269, 634, 2790, 2566, 2589, 602, 4308, 609, 513, 1268, 781, 2623, 1331, 8401, 512, 923, 610, 6208, 899, 17970, 24146, 610, 9992, 4842, 533, 5217, 267, 27571, 2191, 602, 949, 1267, 538, 16116, 540, 24515, 543, 1818, 2300, 4926, 585, 711, 16462, 547, 11886, 13800, 563, 26045, 2566, 2589, 3006, 666, 581, 519, 2014, 540, 2168, 2566, 2589, 269, 6201, 540, 971, 2168, 2589, 602, 6565, 689, 891, 2790, 2566, 2589, 1331, 21385, 267, 14331, 610, 31264, 543, 1256, 2597, 2744, 610, 2597, 2530, 269, 1452, 2168, 2589, 949, 1267, 689, 2790, 2566, 2589, 1813, 547, 519, 2531, 3626, 1198, 269, 1403, 596, 616, 547, 5659, 1946, 513, 1268, 949, 2744, 2597, 610, 6336, 2597, 950, 14129, 267, 621, 568, 1419, 1813, 547, 519, 12012, 3206, 602, 1426, 666, 1683, 4313, 610, 602, 1426, 568, 711, 13267, 269, 901, 568, 851, 540, 519, 1592, 2790, 2566, 2589, 267, 3668, 540, 1697, 10385, 610, 519, 2530, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 9566, 23182, 883, 519, 19730, 269, 1306, 513, 1259, 547, 1039, 513, 16560, 3693, 547, 519, 1283, 519, 540, 19730, 267, 543, 849, 948, 9395, 523, 909, 1250, 3514, 909, 609, 519, 16405, 267, 594, 1031, 513, 3440, 24406, 523, 17200, 547, 1039, 9403, 269, 4495, 713, 729, 3514, 909, 23182, 267, 594, 1031, 513, 669, 529, 601, 547, 2322, 513, 16560, 1899, 1472, 519, 1283, 6316, 540, 519, 24772, 563, 10111, 1324, 540, 519, 7435, 548, 454, 2690, 519, 6023, 1697, 594, 1031, 513, 4062, 540, 4779, 846, 1884, 2401, 269, 28611, 594, 1131, 946, 1164, 3432, 27414, 2645, 547, 798, 1250, 26002, 267, 855, 585, 713, 1788, 594, 1175, 1031, 669, 529, 1564, 543, 31163, 525, 269, 594, 9788, 856, 513, 7470, 865, 602, 519, 24516, 960, 1131, 581, 1256, 593, 1312, 5011, 563, 4263, 713, 1448, 594, 669, 529, 601, 539, 538, 1250, 7291, 543, 1287, 3459, 547, 1286, 557, 2476, 519, 4282, 269, 634, 1034, 1271, 3364, 538, 713, 621, 547, 723, 5743, 2952, 3989, 20898, 267, 713, 1373, 1767, 594, 2119, 547, 1832, 1434, 2182, 15174, 547, 5581, 1250, 5546, 563, 5629, 519, 26002, 568, 2944, 519, 1985, 1900, 568, 17656, 513, 8559, 543, 1210, 22696, 13827, 543, 6119, 547, 1118, 2386, 519, 8126, 786, 3514, 883, 519, 6023, 267, 543, 602, 519, 24772, 786, 3514, 23182, 609, 519, 6023, 563, 763, 1306, 5145, 1194, 1530, 1314, 454, 763, 3803, 1900, 568, 547, 27043, 6023, 5196, 519, 8126, 269, 1530, 1314, 8126, 338, 616, 2760, 1336, 609, 1022, 9475, 610, 711, 2583, 2759, 883, 873, 267, 713, 5012, 547, 519, 3932, 602, 789, 941, 782, 1350, 4240, 1927, 269, 769, 1974, 713, 1131, 723, 1044, 2944, 609, 12404, 15441, 267, 855, 2094, 594, 4769, 1406, 723, 12404, 15441, 267, 519, 1655, 4781, 729, 547, 946, 476, 276, 8792, 3134, 20293, 563, 1607, 1788, 11609, 547, 803, 519, 3646, 2877, 547, 1711, 513, 16405, 609, 13840, 4977, 2326, 269, 898, 729, 513, 1360, 4074, 14021, 1788, 267, 1256, 609, 519, 946, 540, 519, 2413, 2645, 594, 723, 693, 1250, 12871, 269, 4014, 621, 729, 942, 10438, 543, 2352, 267, 621, 568, 519, 3364, 602, 594, 1131, 899, 547, 798, 1586, 865, 602, 594, 666, 13217, 519, 1184, 811, 543, 23248, 1985, 942, 1118, 513, 3677, 16405, 267, 609, 513, 811, 6946, 4806, 563, 295, 1177, 7719, 267, 590, 5861, 269, 630, 2735, 280, 1040, 1284, 777, 976, 543, 2782, 11071, 538, 17454, 29509, 4789, 269, 4279, 6628, 281, 10228, 2160, 9730, 540, 26337, 563, 299, 836, 267, 808, 10611, 2529, 269, 630, 2735, 275, 1040, 634, 14958, 540, 519, 2349, 2931, 19431, 269, 32600, 540, 519, 1290, 527, 2946, 13248, 3288, 28788, 2946, 337, 4026, 773, 1323, 857, 26413, 645, 1409, 770, 1916, 18250, 26364, 987, 267, 808, 12991, 269, 630, 3192, 274, 1040, 589, 1867, 593, 519, 5450, 718, 17790, 22410, 540, 476, 276, 23650, 776, 7216, 11635, 6520, 18156, 19059, 689, 700, 14979, 31762, 3419, 29732, 269, 4750, 540, 1488, 916, 543, 14022, 528, 17502, 269, 476, 10170, 563, 12606, 20861, 7300, 0, 23173, 650, 267, 623, 269, 630, 1001, 271, 264, 6820, 7827, 269, 7186, 4065, 11310, 476, 274, 263, 1015, 2567, 5392, 3095, 547, 1957, 454, 310, 531, 750, 267, 717, 10611, 1421, 5403, 267, 661, 1421, 1230, 3272, 267, 623, 1421, 9093, 29992, 267, 589, 1421, 623, 1301, 525, 534, 267, 595, 1421, 27392, 23331, 267, 570, 12282, 1421, 31530, 618, 514, 267, 808, 8160, 1421, 670, 4141, 724, 8566, 592, 323, 6199, 267, 744, 269, 543, 645, 1515, 548, 514, 267, 674, 1421, 476, 1220, 273, 269, 26954, 6114, 547, 2487, 2916, 1689, 269, 7186, 267, 476, 275, 1626, 263, 6924, 278, 280, 1070, 533, 269, 4343, 280, 269, 3095, 547, 1957, 454, 28074, 540, 519, 1570, 649, 4076, 4988, 865, 2484, 814, 5059, 593, 3069, 543, 5924, 519, 3310, 540, 513, 11979, 1604, 269, 2334, 568, 267, 519, 13395, 729, 3989, 538, 2474, 540, 705, 8438, 7109, 1734, 267, 855, 950, 649, 15810, 519, 13395, 883, 13664, 2230, 267, 649, 2808, 519, 2825, 13395, 7852, 547, 1491, 593, 513, 2582, 1871, 936, 513, 10257, 15415, 269, 1717, 267, 8733, 1949, 616, 4657, 267, 930, 811, 6385, 982, 1866, 269, 6969, 649, 979, 1022, 2417, 883, 713, 1888, 267, 594, 786, 4063, 602, 594, 993, 711, 12394, 547, 5774, 518, 547, 1022, 2797, 610, 1514, 1895, 269, 13518, 540, 1018, 649, 2911, 827, 2221, 18953, 593, 2152, 602, 616, 5701, 607, 851, 16388, 267, 799, 594, 2731, 1810, 1406, 3858, 609, 267, 855, 649, 786, 711, 1865, 519, 2797, 610, 1514, 6286, 269, 5502, 649, 786, 1445, 593, 519, 2257, 267, 543, 4481, 593, 875, 2244, 946, 543, 2825, 1689, 5540, 8733, 1949, 2066, 782, 10253, 540, 3919, 630, 785, 1339, 1107, 5117, 1916, 3383, 649, 666, 1376, 676, 10512, 1944, 1018, 649, 1611, 676, 2244, 946, 1689, 543, 2825, 1689, 269, 3371, 267, 649, 3580, 1445, 7361, 593, 1480, 14001, 2242, 547, 519, 5251, 563, 27455, 946, 1689, 2882, 2238, 899, 19883, 267, 4155, 11305, 640, 1646, 267, 543, 6683, 269, 2334, 568, 267, 519, 2168, 2244, 568, 4957, 689, 930, 630, 9895, 328, 9984, 11499, 1533, 547, 1945, 7168, 796, 11499, 269, 901, 814, 1463, 2360, 593, 1367, 6668, 543, 7766, 2551, 2208, 267, 607, 1134, 607, 519, 1761, 547, 6521, 2146, 2497, 950, 2249, 8428, 538, 741, 8417, 547, 19717, 563, 324, 3052, 1421, 936, 327, 2863, 532, 543, 26610, 2360, 2810, 14486, 563, 20245, 1689, 4016, 547, 3476, 2053, 7051, 2242, 547, 8733, 1949, 267, 3006, 607, 513, 1267, 540, 606, 9940, 1198, 269, 901, 267, 538, 1250, 4214, 267, 13315, 1312, 2916, 1689, 267, 543, 6281, 2360, 540, 5533, 630, 324, 3052, 1421, 3679, 4764, 1040, 8693, 1689, 4016, 547, 519, 1279, 3410, 2333, 538, 1611, 5993, 2837, 267, 543, 519, 2404, 9259, 11341, 547, 606, 2333, 538, 3665, 4365, 2621, 630, 324, 3052, 1421, 17160, 1916, 324, 3052, 1421, 4856, 531, 6926, 2286, 1813, 547, 8375, 4262, 5210, 543, 5836, 3679, 2305, 630, 27463, 1078, 2910, 273, 538, 519, 5790, 568, 4744, 6295, 883, 12084, 267, 1818, 26869, 811, 15755, 267, 4929, 519, 14147, 7729, 30416, 547, 23271, 1916, 4131, 779, 2911, 827, 2910, 273, 1101, 269, 2910, 273, 568, 1500, 7361, 676, 519, 8781, 540, 8093, 10173, 267, 855, 814, 1082, 2825, 2959, 607, 1134, 630, 10809, 11642, 267, 1793, 1054, 7362, 267, 3092, 12175, 9891, 5982, 267, 3226, 18342, 5982, 267, 3587, 16290, 676, 8511, 9362, 267, 799, 1832, 18342, 5982, 6251, 547, 519, 3618, 630, 663, 18342, 5982, 568, 10416, 3002, 1040, 901, 568, 1572, 519, 968, 13582, 5264, 1198, 6100, 2910, 273, 5834, 814, 7814, 539, 936, 942, 630, 11034, 532, 827, 476, 6110, 330, 1296, 3516, 267, 972, 723, 1044, 476, 274, 268, 275, 9979, 1070, 855, 519, 4028, 4473, 538, 2910, 273, 1310, 519, 4853, 4838, 568, 1631, 1055, 519, 12125, 267, 10834, 3425, 616, 7133, 2910, 273, 2157, 269, 901, 4473, 538, 2910, 273, 568, 15810, 547, 1689, 519, 1611, 2837, 540, 519, 4541, 269, 901, 4473, 538, 2837, 568, 2404, 609, 4262, 1377, 4473, 269, 1703, 779, 513, 2603, 540, 1216, 538, 519, 5836, 602, 568, 538, 519, 1106, 540, 4672, 269, 10435, 621, 15911, 2306, 602, 4672, 15835, 269, 3502, 1434, 563, 19808, 9711, 593, 3425, 26184, 20296, 2621, 630, 324, 3052, 1421, 17160, 267, 14324, 29777, 264, 616, 4397, 547, 2333, 269, 4746, 267, 609, 4262, 1377, 4473, 267, 1082, 9381, 4872, 949, 581, 693, 1981, 540, 14700, 811, 1419, 610, 1373, 796, 514, 4725, 3386, 563, 1103, 2739, 1190, 3676, 267, 593, 3328, 267, 4043, 547, 581, 8338, 538, 2362, 5210, 269, 901, 568, 2523, 3020, 540, 18151, 268, 557, 551, 1819, 13596, 630, 324, 3052, 1421, 13663, 267, 28939, 267, 669, 10884, 684, 5984, 267, 3092, 28593, 763, 1198, 540, 2916, 1689, 568, 849, 7856, 1875, 268, 12690, 569, 267, 1141, 3384, 2477, 616, 693, 2362, 16151, 1813, 547, 519, 3908, 2702, 547, 4431, 547, 1804, 2825, 10593, 267, 513, 1761, 21341, 593, 2067, 2200, 267, 543, 3274, 1141, 519, 2197, 568, 4092, 32321, 269, 2755, 519, 4102, 2360, 538, 2474, 540, 3928, 540, 1689, 538, 2837, 786, 581, 5433, 693, 519, 18635, 267, 519, 11944, 540, 3209, 630, 6866, 1044, 4767, 264, 2825, 2175, 786, 581, 5207, 2282, 519, 20337, 269, 901, 568, 2523, 3020, 538, 2474, 540, 13247, 267, 799, 568, 4397, 547, 6175, 538, 31210, 4525, 563, 19808, 9711, 593, 4307, 1108, 26263, 1108, 568, 519, 12557, 540, 2249, 12119, 1272, 1686, 2621, 630, 324, 3052, 1421, 838, 27681, 538, 3165, 267, 4212, 18413, 538, 5017, 267, 15496, 538, 2371, 1040, 13689, 593, 1018, 2249, 946, 607, 513, 5365, 585, 971, 606, 2680, 267, 2916, 1689, 666, 723, 18312, 2360, 269, 5871, 2242, 616, 519, 4505, 9960, 540, 5017, 267, 4505, 838, 27681, 540, 27738, 543, 3165, 267, 543, 4505, 15496, 2053, 538, 2371, 269, 901, 568, 711, 8209, 513, 1966, 676, 3294, 267, 855, 2015, 519, 2249, 602, 7048, 593, 12119, 2030, 610, 3662, 2200, 269, 1280, 3236, 267, 5521, 25199, 540, 2371, 723, 547, 10836, 693, 513, 942, 547, 1655, 31194, 593, 519, 27536, 4199, 267, 855, 609, 4307, 1670, 10593, 267, 519, 8768, 1223, 16036, 1510, 1022, 5521, 25199, 693, 1101, 269, 901, 568, 2523, 3020, 952, 7786, 616, 14775, 547, 1114, 10291, 585, 11944, 269, 901, 5012, 547, 513, 4307, 1670, 25314, 2255, 1063, 15025, 2249, 563, 19808, 9711, 593, 2249, 9832, 1403, 2249, 941, 9363, 4625, 1369, 741, 13395, 7182, 267, 789, 1522, 3274, 3950, 741, 6099, 2825, 2175, 998, 29371, 269, 15661, 1223, 849, 3082, 547, 513, 4657, 1604, 998, 8965, 2242, 269, 14936, 267, 2249, 1223, 5884, 269, 901, 2063, 4781, 4667, 513, 3787, 25064, 267, 855, 4386, 9425, 1419, 538, 3500, 1673, 7371, 619, 532, 7103, 267, 610, 7103, 593, 10239, 563, 324, 3052, 1421, 6173, 1049, 2039, 7182, 593, 10239, 269, 12518, 666, 1152, 979, 865, 1164, 1354, 789, 2196, 856, 540, 5078, 5054, 563, 8266, 540, 29829, 3688, 281, 17904, 1447, 267, 3548, 1447, 5779, 267, 5397, 1447, 267, 8038, 1447, 267, 4444, 1447, 269, 0, 763, 23435, 294, 16257, 267, 799, 729, 3964, 538, 476, 1960, 279, 267, 568, 519, 2518, 3044, 5943, 585, 7893, 543, 5883, 8511, 3154, 5434, 630, 21203, 294, 264, 689, 1312, 4357, 543, 1857, 5823, 4238, 267, 1871, 11800, 267, 543, 17846, 3527, 269, 634, 23435, 294, 16257, 729, 2813, 998, 513, 11450, 1063, 519, 2622, 8249, 4659, 543, 519, 2622, 6355, 7027, 585, 12655, 4886, 267, 609, 519, 3804, 540, 3384, 8051, 4441, 267, 2645, 267, 543, 2866, 547, 948, 4213, 2268, 543, 4383, 741, 2916, 2914, 9879, 5434, 269, 634, 23435, 294, 16257, 2488, 4808, 543, 4170, 585, 3549, 547, 5965, 606, 11891, 540, 741, 8511, 3154, 5434, 267, 1519, 519, 9819, 540, 741, 9746, 3327, 11640, 269, 15788, 267, 519, 23435, 294, 16257, 568, 606, 1898, 1907, 585, 3549, 547, 1732, 1174, 543, 4383, 741, 8511, 3154, 5434, 267, 6038, 7700, 547, 519, 2518, 4674, 547, 8396, 2916, 1689, 563, 8005, 1058, 1451, 827, 519, 23435, 294, 16257, 286, 9523, 707, 1565, 1631, 281, 0, 2252, 596, 2461, 513, 6995, 24158, 267, 596, 4076, 4440, 4862, 540, 6259, 3821, 6995, 10365, 269, 6259, 3821, 6995, 568, 519, 1034, 2442, 543, 4922, 10057, 6995, 3099, 538, 519, 1158, 269, 769, 1249, 267, 811, 982, 476, 2568, 260, 540, 519, 6995, 3812, 5001, 568, 6259, 3821, 563, 3719, 1018, 4010, 616, 6259, 3821, 6995, 10365, 286, 6259, 3821, 6995, 10365, 616, 513, 2249, 540, 6995, 2030, 602, 568, 5065, 547, 18629, 267, 543, 621, 779, 519, 1034, 4122, 6738, 6995, 2249, 538, 519, 1158, 269, 6259, 3821, 6995, 568, 17028, 7458, 585, 922, 10347, 8137, 543, 24710, 267, 543, 621, 779, 1419, 1031, 538, 20614, 6995, 24025, 563, 1103, 713, 2376, 267, 649, 3580, 1491, 513, 6251, 1413, 693, 6259, 3821, 6995, 10365, 267, 1519, 741, 1686, 267, 4162, 267, 1072, 2640, 267, 543, 811, 269, 1284, 3580, 849, 5635, 6259, 3821, 6995, 547, 824, 6995, 8677, 267, 2263, 519, 3395, 543, 16276, 1184, 267, 543, 1683, 4388, 593, 887, 8463, 543, 28823, 519, 3501, 7484, 540, 6259, 3821, 6995, 563, 3383, 267, 2436, 596, 2461, 513, 6995, 7192, 20601, 5964, 610, 1175, 3478, 3323, 267, 1224, 593, 547, 1451, 811, 827, 6259, 3821, 6995, 10365, 543, 1946, 789 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 782, 824, 6080, 267, 519, 1482, 786, 4755, 609, 2069, 538, 519, 1296, 547, 2097, 563, 3528, 7225, 344, 32298, 267, 12751, 16711, 20229, 585, 22126, 6820, 16195, 454, 15253, 6842, 622, 1416, 568, 513, 2462, 851, 540, 1018, 649, 798, 607, 11923, 269, 3776, 2816, 814, 2141, 1044, 547, 948, 1312, 2550, 543, 741, 3885, 269, 1284, 6432, 547, 2055, 543, 4145, 267, 2491, 3877, 540, 5574, 543, 5773, 267, 543, 22937, 1489, 538, 1082, 824, 2081, 269, 1284, 723, 3573, 5578, 5036, 538, 519, 1072, 9443, 267, 607, 1134, 607, 11558, 543, 3919, 1983, 602, 649, 946, 547, 948, 1866, 269, 0, 288, 5634, 568, 513, 1268, 896, 476, 1240, 1296, 540, 2085, 269, 769, 4587, 9086, 267, 789, 941, 1419, 5219, 547, 607, 968, 8882, 1218, 6100, 634, 2085, 540, 5354, 729, 4389, 689, 476, 2641, 1296, 547, 476, 1240, 1296, 676, 519, 6520, 540, 11683, 640, 2920, 267, 476, 2735, 276, 563, 26807, 2010, 540, 11731, 616, 11006, 593, 513, 5634, 269, 11524, 949, 581, 1065, 644, 7007, 269, 11524, 616, 11613, 20704, 543, 540, 1100, 1198, 563, 288, 5634, 666, 4283, 11731, 547, 10536, 968, 928, 947, 2456, 6100, 3026, 947, 2456, 949, 581, 4334, 539, 609, 12743, 3753, 269, 634, 4082, 968, 12999, 1722, 892, 814, 1100, 3656, 4644, 855, 568, 3006, 1031, 547, 4766, 602, 799, 568, 711, 513, 2556, 563, 10468, 947, 2456, 896, 519, 22312, 540, 6153, 338, 20450, 616, 3989, 607, 5370, 5078, 547, 519, 2783, 540, 1272, 540, 519, 5634, 7255, 543, 1010, 4890, 4170, 693, 519, 942, 540, 4579, 269, 3026, 10354, 2533, 693, 1455, 1876, 267, 799, 949, 1331, 267, 585, 1383, 267, 2866, 543, 29095, 1222, 267, 22098, 267, 1072, 1416, 267, 543, 3560, 723, 606, 6697, 2495, 563, 14240, 540, 3026, 10354, 454, 2108, 10468, 10354, 892, 5370, 616, 3989, 538, 8791, 476, 273, 540, 519, 22312, 540, 6153, 338, 2920, 607, 5370, 5078, 547, 519, 2783, 538, 1272, 540, 971, 10867, 610, 5634, 543, 547, 1010, 4890, 4170, 693, 519, 942, 540, 9042, 543, 6765, 269, 31072, 540, 713, 4214, 267, 519, 1455, 1876, 10039, 267, 799, 713, 4214, 7361, 9356, 563, 2005, 1590, 581, 3254, 519, 5370, 616, 5827, 540, 1373, 2122, 2456, 607, 513, 2339, 540, 1876, 269, 898, 1590, 581, 3254, 602, 519, 5370, 616, 538, 1249, 968, 928, 947, 2456, 892, 538, 519, 1880, 6381, 540, 519, 5634, 269, 4813, 28861, 267, 519, 11984, 729, 540, 811, 2956, 538, 602, 795, 3753, 5462, 519, 8545, 1247, 519, 9794, 5462, 519, 5449, 269, 808, 3753, 723, 1100, 1909, 1631, 538, 21556, 540, 4579, 2665, 563, 288, 968, 928, 10354, 892, 568, 4334, 539, 609, 513, 17195, 269, 589, 17195, 610, 31768, 3112, 581, 513, 2556, 269, 1717, 267, 1018, 568, 513, 2556, 2242, 609, 519, 6381, 540, 2486, 543, 1272, 269, 589, 2556, 666, 1331, 2556, 18820, 796, 8588, 609, 519, 5634, 267, 585, 1866, 585, 7247, 646, 568, 25432, 3743, 269, 898, 666, 9784, 5370, 543, 2533, 563, 14300, 540, 3026, 947, 2456, 454, 1432, 568, 513, 2556, 786, 4096, 593, 519, 4890, 2990, 540, 519, 5634, 538, 2243, 267, 1519, 1010, 4170, 267, 1514, 4567, 267, 543, 5763, 269, 1548, 949, 581, 513, 2556, 609, 2463, 540, 835, 5634, 267, 949, 711, 581, 513, 2556, 538, 2463, 540, 1776, 563, 763, 1739, 616, 1806, 540, 5370, 543, 2533, 799, 616, 5827, 540, 1373, 2122, 2456, 269, 2986, 1576, 267, 519, 2243, 540, 2436, 540, 789, 616, 538, 1249, 2122, 2456, 5673, 593, 519, 6381, 540, 519, 24769, 563, 268, 1426, 543, 4235, 3248, 268, 25778, 3101, 543, 22098, 3248, 268, 2069, 543, 2866, 3248, 268, 2564, 6351, 3248, 268, 3656, 5351, 3248, 268, 1898, 2533, 563, 763, 18261, 540, 519, 5370, 610, 2533, 12217, 519, 11411, 540, 18445, 602, 519, 5370, 538, 2243, 616, 513, 2556, 585, 519, 24769, 5634, 563, 299, 334, 753, 547, 3687, 832, 454, 763, 5606, 1218, 28057, 2920, 267, 476, 6942, 275, 14906, 619, 1978, 11731, 676, 1295, 832, 20704, 269, 1358, 1331, 1034, 12029, 543, 6589, 7150, 267, 1373, 9247, 22440, 563, 299, 334, 753, 585, 2122, 2456, 616, 711, 540, 2933, 9156, 762, 269, 1403, 519, 5634, 3096, 519, 22666, 1395, 625, 547, 6718, 513, 2556, 267, 519, 561, 2658, 666, 2356, 1796, 538, 519, 1747, 540, 519, 18261, 267, 896, 519, 6240, 540, 1016, 5766, 566, 269, 1717, 267, 1964, 3191, 568, 711, 15868, 547, 4931, 1203, 519, 2262, 532, 540, 519, 5606, 1218, 28057, 338, 2920, 267, 1141, 621, 10039, 563, 10702, 476, 6245, 273, 9086, 10039, 547, 513, 5634, 779, 10211, 269, 1403, 1022, 5634, 267, 945, 814, 26438, 513, 10211, 799, 568, 20704, 538, 1876, 267, 23216, 1310, 646, 2501, 540, 2085, 547, 2628, 1022, 2724, 799, 538, 2898, 610, 538, 851, 4564, 610, 568, 8815, 547, 581, 6976, 538, 2463, 540, 1022, 971, 10211, 267, 543, 568, 711, 513, 1007, 4434, 267, 971, 6876, 267, 543, 1022, 6293, 267, 7858, 4192, 610, 824, 267, 2016, 538, 5083, 340, 766, 540, 610, 585, 8876, 883, 1198, 971, 6876, 267, 610, 6382, 538, 6935, 547, 519, 8569, 540, 2724, 8204, 610, 538, 2463, 540, 971, 10211, 267, 568, 2073, 865, 2484, 607, 621, 12211, 547, 2724, 799, 4564, 610, 568, 2628, 762, 538, 2463, 540, 971, 10211, 267, 543, 568, 711, 513, 1007, 4434, 267, 581, 20704, 11613, 607, 1996, 782, 7606, 7247, 29639, 563, 13051, 1030, 2772, 20260, 540, 7896, 454, 288, 4579, 540, 3028, 786, 12622, 513, 5634, 952, 621, 568, 6225, 269, 898, 568, 3622, 2938, 547, 581, 6225, 547, 513, 5634, 547, 1451, 513, 4123, 610, 1870, 269, 5484, 1030, 2772, 11731, 540, 3028, 949, 1331, 29095, 4721, 267, 2866, 11731, 267, 2069, 2533, 543, 11731, 540, 7694, 563, 3725, 32208, 543, 3044, 2474, 540, 29095, 1222, 538, 513, 1880, 4123, 616, 2693, 547, 581, 7608, 607, 11006, 269, 898, 568, 540, 4644, 2436, 519, 5634, 568, 8391, 2069, 543, 2866, 269, 901, 568, 3622, 2838, 547, 1118, 519, 4579, 6225, 269, 1717, 267, 519, 15980, 540, 2724, 538, 3294, 949, 581, 6190, 547, 581, 6225, 454, 763, 6225, 2470, 540, 519, 4579, 568, 12290, 609, 4704, 547, 519, 2883, 543, 824, 4324, 547, 519, 5634, 269, 9208, 2866, 543, 6044, 11731, 616, 2693, 547, 581, 811, 11593, 909, 18988, 607, 6225, 563, 4462, 325, 1515, 3344, 540, 20260, 454, 2304, 15490, 608, 18277, 16083, 538, 519, 4579, 609, 513, 5634, 949, 581, 13351, 1524, 607, 15490, 269, 634, 14230, 540, 519, 4579, 949, 581, 909, 18988, 267, 695, 1941, 540, 519, 16083, 799, 1625, 7964, 547, 3970, 610, 23868, 15668, 563, 2750, 18277, 21291, 538, 11731, 609, 1295, 832, 616, 3226, 2693, 547, 581, 1336, 547, 581, 1996, 519, 5634, 779, 4690, 269, 1323, 608, 18277, 16083, 949, 1118, 606, 6382, 6225, 4579, 711, 865, 269, 1717, 267, 519, 5480, 786, 2015, 2436, 519, 4579, 607, 513, 2898, 568, 6225, 563, 763, 6225, 2470, 610, 6382, 540, 513, 4579, 568, 5462, 693, 519, 4143, 942, 543, 711, 609, 519, 4324, 540, 12042, 338, 697, 269, 634, 3390, 949, 581, 4143, 538, 519, 2796, 540, 519, 3652, 540, 23242, 14540, 547, 799, 1295, 832, 616, 513, 5428, 563, 3725, 20287, 540, 20260, 676, 3687, 832, 454, 26807, 11731, 616, 4570, 8259, 789, 616, 15653, 1369, 513, 10257, 942, 1310, 519, 5634, 2501, 540, 2085, 267, 1775, 4318, 269, 10301, 476, 1240, 1296, 540, 2085, 269, 634, 10470, 723, 6444, 1978, 6688, 540, 11731, 607, 1641, 547, 713, 4781, 547, 968, 10517, 644, 5573, 9731, 268, 6142, 11731, 454, 268, 7365, 17260, 454, 268, 11731, 585, 519, 28286, 618, 540, 8843, 454, 268, 11450, 11731, 454, 268, 25755, 543, 6718, 540, 2244, 609, 5571, 13800, 454, 763, 1318, 547, 1065, 644, 5573, 949, 581, 27361, 676, 519, 5634, 1247, 646, 568, 896, 2085, 610, 1369, 513, 10257, 942, 1310, 1140, 8724, 476, 1240, 1296, 269, 1548, 568, 10257, 786, 4096, 593, 519, 5013, 543, 6381, 269, 634, 5634, 779, 22293, 540, 519, 1876, 1281, 711, 2408, 547, 581, 513, 6190, 4493, 585, 8488, 563, 8489, 513, 4579, 568, 1065, 644, 7007, 267, 2104, 13800, 1439, 269, 1717, 267, 13800, 934, 29471, 547, 4266, 1590, 581, 1558, 269, 18401, 568, 1152, 15868, 952, 972, 814, 1044, 513, 2698, 5821, 540, 7156, 269, 901, 3340, 602, 646, 1705, 711, 1205, 519, 4324, 540, 1018, 646, 814, 26438, 585, 269, 6423, 3622, 519, 6810, 593, 1964, 3191, 269, 634, 10421, 585, 513, 2698, 5821, 666, 581, 2352, 547, 6961, 865, 602, 11033, 1500, 786, 711, 581, 11593, 9156, 762, 563, 309, 1355, 676, 476, 6942, 275, 2920, 454, 26807, 11731, 676, 1295, 832, 616, 16363, 20704, 676, 519, 5606, 1218, 28057, 2920, 269, 2353, 11731, 267, 9411, 883, 676, 513, 5634, 585, 519, 23231, 618, 540, 2724, 21378, 610, 547, 581, 21378, 267, 610, 585, 5370, 13859, 610, 547, 581, 13859, 630, 1278, 982, 11731, 585, 2122, 2456, 1070, 543, 782, 6589, 7150, 609, 1295, 832, 267, 616, 11613, 20704, 563, 763, 5634, 949, 9156, 1141, 972, 814, 1044, 513, 2698, 5821, 540, 7156, 1152, 269, 3502, 5976, 9227, 519, 4579, 1373, 20704, 267, 3959, 538, 519, 5370, 949, 1780, 593, 6765, 269, 634, 5634, 949, 647, 324, 593, 519, 4579, 563, 1607, 11865, 1281, 711, 23380, 622, 1022, 4579, 883, 799, 513, 5634, 949, 267, 676, 1022, 4540, 610, 2104, 29417, 267, 610, 676, 519, 3652, 540, 1455, 1876, 610, 9698, 267, 4283, 267, 4849, 971, 607, 616, 6382, 20704, 762, 676, 1876, 563, 763, 2920, 1281, 711, 4019, 547, 11731, 585, 2122, 2456, 267, 6225, 11731, 540, 3028, 543, 11731, 540, 513, 18596, 2470, 563, 305, 520, 2305, 540, 20260, 593, 9509, 6520, 966, 1355, 454, 763, 2920, 2488, 602, 22440, 26438, 1282, 26638, 949, 711, 581, 16626, 1310, 2407, 2085, 267, 1256, 952, 32738, 267, 2436, 610, 711, 972, 814, 1044, 1007, 7156, 269, 13018, 267, 621, 2488, 602, 602, 1100, 2962, 666, 581, 4547, 593, 519, 3731, 2305, 540, 513, 5634, 779, 4579, 1500, 1310, 2407, 2085, 547, 2628, 1022, 7963, 26438, 1282, 26638, 267, 610, 2390, 1022, 3731, 2305, 1500, 1310, 2407, 2085, 540, 1022, 9153, 610, 4579, 1500, 1282, 26638, 267, 2436, 972, 4927, 610, 4927, 711, 581, 1022, 1007, 7156, 585, 971, 9153, 610, 3731, 2305, 1310, 2407, 2085, 269, 22353, 267, 513, 4195, 9153, 547, 2628, 513, 10211, 26438, 1247, 896, 2085, 568, 20704, 563, 763, 29611, 540, 606, 2962, 593, 3731, 2305, 10039, 547, 1034, 5634, 11731, 269, 901, 11865, 540, 519, 5606, 1218, 28057, 2920, 568, 9962, 982, 519, 1101, 268, 20197, 11865, 269, 898, 608, 11079, 1152, 11731, 585, 2122, 2456, 267, 6225, 11731, 540, 2533, 543, 11731, 609, 13350, 18596, 13800, 267, 799, 949, 581, 14284, 593, 1140, 8724, 5354, 563, 763, 5634, 568, 3622, 8572, 547, 3489, 513, 32479, 540, 519, 6718, 1395, 625, 540, 5370, 799, 789, 723, 1044, 10057, 610, 1031, 267, 607, 972, 568, 1100, 513, 2347, 5821, 540, 7156, 563, 8448, 27519, 12983, 454, 23744, 267, 606, 10867, 949, 711, 17997, 513, 4579, 676, 1259, 540, 1808, 2773, 267, 952, 621, 1223, 711, 581, 8449, 17997, 762, 1996, 1864, 269, 901, 5205, 689, 519, 6240, 540, 4573, 7081, 269, 1403, 646, 3792, 1206, 519, 4579, 1310, 2407, 2085, 267, 646, 949, 1491, 1808, 2773, 18659, 269, 901, 1281, 711, 4019, 547, 22440, 1641, 547, 519, 23862, 28057, 2920, 607, 1808, 2773, 1281, 711, 8451, 563, 1103, 6825, 4334, 547, 519, 4027, 6488, 539, 547, 1295, 832, 538, 2463, 547, 11731, 267, 513, 5634, 568, 25964, 585, 1010, 512, 2176, 1315, 3540, 4636, 338, 799, 798, 711, 2154, 513, 1808, 9837, 267, 689, 513, 5266, 1762, 2085, 267, 5732, 607, 1762, 607, 5722, 1296, 685, 2025, 269, 901, 6227, 1034, 512, 2176, 267, 799, 2154, 1152, 32226, 610, 824, 24966, 1447, 982, 18532, 4636, 4777, 532, 563, 299, 6636, 585, 3540, 4636, 338, 1590, 711, 581, 606, 9940, 1797, 540, 30191, 513, 4579, 269, 4475, 267, 519, 21556, 540, 11645, 5702, 5532, 609, 23563, 540, 4579, 616, 711, 17997, 762, 563, 19119, 676, 17793, 644, 454, 293, 571, 644, 12040, 6041, 267, 799, 28901, 1776, 547, 7985, 2530, 267, 2436, 538, 513, 4579, 783, 610, 824, 2796, 568, 513, 12475, 1315, 3540, 4636, 269, 1306, 621, 3340, 1808, 9837, 267, 513, 5634, 568, 711, 25964, 267, 693, 2547, 8259, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12334, 257, 26520, 538, 2453, 899, 834, 10623, 30099, 257, 543, 834, 325, 1197, 880, 2437, 782, 540, 799, 4766, 513, 2783, 540, 7670, 3754, 10761, 267, 1964, 1652, 1648, 267, 543, 1642, 597, 1190, 535, 1722, 3361, 676, 513, 4049, 8611, 563, 293, 1197, 3294, 568, 3989, 607, 606, 11506, 1560, 2837, 267, 543, 4352, 1034, 1004, 781, 4703, 2226, 741, 1378, 1305, 1448, 267, 930, 3676, 630, 7945, 607, 13663, 264, 666, 2014, 5210, 547, 4473, 1360, 1164, 267, 1256, 1498, 12489, 616, 3812, 547, 4339, 873, 1055, 269, 1809, 1152, 1004, 945, 723, 2760, 1185, 513, 8611, 917, 1018, 621, 7959, 899, 950, 707, 1560, 568, 12699, 909, 676, 513, 3644, 610, 4551, 602, 666, 1100, 3476, 581, 9571, 676, 519, 4761, 1062, 269, 1358, 1810, 1405, 1745, 1022, 1114, 982, 789, 1131, 952, 741, 1973, 941, 14495, 3905, 563, 3719, 2094, 834, 335, 3558, 257, 568, 1031, 1934, 538, 922, 8723, 2631, 540, 834, 320, 1164, 1790, 17097, 3280, 2437, 594, 9364, 2161, 713, 568, 1141, 519, 13509, 6013, 563, 290, 629, 514, 8611, 568, 513, 1134, 8153, 2262, 10503, 513, 7928, 5114, 547, 1373, 9678, 610, 16876, 585, 513, 17890, 1974, 540, 942, 269, 12580, 454, 5353, 553, 32169, 568, 3812, 676, 519, 20437, 5163, 540, 513, 6077, 593, 519, 4262, 267, 799, 3123, 513, 4655, 538, 519, 6418, 1274, 267, 799, 8075, 519, 1480, 3666, 1062, 269, 901, 2164, 538, 2589, 971, 607, 21994, 267, 15353, 267, 543, 13481, 563, 763, 1614, 2010, 540, 15798, 32169, 616, 16064, 19210, 267, 6928, 781, 3350, 19210, 267, 543, 5951, 14001, 5163, 19210, 563, 5719, 1188, 19210, 4386, 950, 972, 568, 1100, 3350, 693, 782, 267, 971, 607, 950, 596, 616, 593, 2244, 610, 20829, 513, 1869, 6077, 269, 4658, 945, 7985, 689, 713, 1826, 540, 19210, 1745, 562, 1021, 730, 1256, 1498, 789, 616, 711, 3001, 693, 782, 269, 898, 2501, 689, 606, 18633, 3760, 602, 3947, 596, 4606, 899, 1373, 593, 513, 10935, 609, 1100, 5748, 563, 306, 1222, 781, 3350, 19210, 568, 3361, 676, 519, 3350, 540, 519, 6174, 3294, 269, 1403, 596, 616, 10707, 676, 10935, 2066, 1930, 1216, 267, 1287, 596, 786, 1995, 713, 1826, 540, 19210, 269, 634, 1034, 1455, 10835, 540, 6928, 781, 3350, 19210, 568, 667, 20063, 267, 4553, 676, 715, 13835, 543, 966, 558, 1746, 563, 310, 1511, 14001, 5163, 19210, 568, 3361, 676, 519, 3350, 540, 519, 10935, 3448, 547, 519, 6329, 269, 1403, 519, 10935, 568, 4224, 532, 1394, 543, 8521, 267, 596, 786, 1995, 713, 1826, 540, 19210, 269, 634, 1034, 1455, 10835, 540, 5951, 14001, 5163, 19210, 568, 667, 20063, 267, 4553, 676, 715, 13835, 543, 966, 558, 1746, 269, 0, 763, 31669, 3490, 540, 1035, 2045, 3679, 267, 21449, 622, 568, 544, 730, 547, 513, 9770, 524, 566, 3079, 540, 7250, 269, 1403, 835, 941, 547, 3717, 899, 513, 1483, 10196, 835, 1522, 2161, 602, 9770, 21449, 622, 568, 519, 9770, 6070, 540, 1035, 2045, 3679, 269, 4258, 777, 22938, 1426, 9755, 12212, 946, 621, 538, 9114, 340, 540, 4890, 6070, 543, 16693, 563, 763, 31669, 3490, 540, 561, 12519, 3679, 267, 14915, 622, 568, 1459, 538, 19134, 10458, 779, 607, 513, 9770, 6070, 269, 898, 568, 1336, 538, 782, 5686, 540, 12691, 4025, 269, 898, 568, 513, 1426, 19605, 543, 15151, 950, 2016, 12499, 1597, 3585, 621, 666, 581, 1031, 547, 1521, 606, 30072, 540, 4147, 476, 272, 4550, 1551, 1506, 339, 332, 923, 899, 22876, 664, 29524, 543, 844, 514, 26593, 454, 290, 527, 878, 3679, 20919, 540, 9770, 2097, 538, 1614, 7657, 2293, 281, 1395, 657, 18754, 267, 771, 18754, 543, 959, 529, 18754, 269, 1306, 666, 581, 10750, 569, 2938, 267, 972, 616, 1614, 7158, 585, 9770, 547, 19582, 593, 519, 3632, 3433, 606, 542, 269, 634, 1395, 657, 18754, 3099, 568, 1031, 547, 1750, 17218, 7513, 538, 14095, 2281, 547, 2061, 32378, 269, 634, 771, 18754, 2249, 568, 606, 23639, 15696, 6819, 1426, 19605, 269, 2558, 529, 18754, 3632, 3433, 568, 519, 12404, 748, 2389, 8463, 1884, 29403, 8929, 596, 2285, 547, 9176, 2021, 607, 513, 840, 4364, 1709, 585, 741, 1528, 633, 1309, 525, 4115, 563, 763, 9770, 6070, 540, 1350, 340, 935, 545, 3679, 269, 898, 568, 8329, 547, 3435, 607, 513, 1611, 540, 3160, 1944, 519, 524, 566, 12845, 542, 3666, 282, 2705, 607, 606, 606, 542, 621, 4667, 547, 581, 28772, 10999, 24631, 267, 543, 621, 814, 1152, 513, 7811, 1909, 547, 1404, 607, 513, 834, 321, 545, 12365, 622, 24888, 2668, 898, 568, 5018, 1934, 1317, 1142, 1396, 516, 9126, 540, 26736, 2742, 6441, 344, 974, 476, 16825, 3568, 476, 2537, 6515, 565, 540, 713, 8631, 563, 2005, 568, 1360, 2182, 547, 1265, 1022, 2564, 1344, 827, 519, 1350, 340, 935, 622, 606, 542, 267, 2119, 607, 596, 1522, 269, 594, 7307, 547, 1205, 513, 3180, 540, 713, 3561, 267, 799, 2306, 1896, 7682, 687, 827, 1350, 340, 935, 622, 630, 1721, 3236, 267, 602, 621, 568, 513, 3339, 10894, 1587, 540, 7280, 10307, 267, 543, 602, 519, 3328, 1480, 7472, 476, 1839, 268, 1789, 10101, 540, 621, 829, 1554, 1916, 6097, 547, 713, 4853, 7998, 1957, 267, 1350, 340, 935, 622, 568, 711, 8311, 2213, 3226, 1134, 267, 543, 827, 476, 5952, 260, 540, 621, 568, 608, 920, 1540, 24240, 538, 519, 10729, 563, 2710, 28772, 5505, 3858, 286, 12344, 269, 4208, 568, 3388, 827, 713, 1641, 2854, 538, 519, 476, 4198, 271, 338, 286, 1703, 729, 6612, 1287, 282, 1004, 1031, 547, 2731, 2887, 538, 2648, 609, 17550, 269, 3502, 899, 713, 524, 2106, 673, 2085, 649, 2661, 538, 1631, 269, 634, 1152, 1483, 1353, 593, 1350, 340, 935, 622, 10307, 594, 1223, 1265, 729, 513, 1867, 676, 3057, 329, 12929, 543, 1546, 310, 8636, 853, 564, 1084, 267, 2854, 538, 476, 4198, 274, 269, 634, 853, 9116, 839, 28720, 741, 2234, 2723, 629, 8215, 9770, 1350, 340, 935, 622, 547, 513, 1297, 540, 16562, 652, 2867, 1242, 14148, 269, 1358, 849, 11943, 602, 519, 5354, 540, 519, 1350, 340, 935, 622, 630, 31138, 899, 476, 6872, 8472, 729, 15646, 958, 608, 920, 1540, 538, 606, 24240, 1106, 269, 476, 1691, 260, 540, 519, 13950, 595, 1691, 2000, 629, 8215, 1350, 340, 935, 622, 729, 608, 920, 1540, 6385, 607, 3327, 8166, 25467, 1390, 6712, 540, 519, 595, 1691, 24236, 729, 849, 15646, 958, 608, 920, 1540, 1107, 607, 7280, 269, 634, 3731, 561, 1392, 849, 941, 989, 869, 609, 595, 1691, 5925, 13808, 267, 27229, 1317, 789, 941, 11376, 730, 609, 2234, 2723, 629, 8215, 25026, 4094, 269, 901, 7028, 519, 25195, 602, 1350, 340, 935, 622, 568, 10736, 547, 7280, 267, 543, 11368, 883, 1648, 8637, 563, 763, 1482, 4589, 11567, 713, 13374, 267, 543, 11943, 602, 519, 1101, 3327, 630, 290, 272, 264, 540, 1350, 340, 935, 622, 7475, 909, 7432, 883, 2910, 273, 267, 6466, 519, 1964, 1439, 909, 1373, 10736, 547, 7280, 267, 5601, 6487, 875, 269, 634, 11747, 799, 949, 581, 3743, 568, 7280, 476, 272, 11546, 5139, 4088, 848, 269, 589, 9527, 324, 3957, 5696, 1074, 1336, 621, 538, 1010, 6986, 324, 540, 14132, 6797, 267, 543, 1179, 4327, 3823, 922, 1599, 630, 28785, 267, 538, 476, 4198, 274, 1040, 1717, 267, 4986, 2417, 3357, 540, 713, 563, 3383, 267, 952, 596, 666, 8774, 930, 1769, 593, 713, 1184, 267, 5225, 3346, 803, 543, 594, 786, 6494, 596, 513, 18351, 10516, 267, 2693, 513, 570, 6879, 7398, 2377, 331, 7571, 539, 609, 519, 13374, 596, 6045, 563, 1103, 519, 29291, 267, 1250, 10539, 568, 7152, 538, 1250, 782, 4288, 547, 513, 16750, 1379, 607, 513, 29512, 3310, 593, 519, 7503, 540, 1350, 340, 935, 622, 547, 7280, 563, 12179, 3118, 282, 519, 824, 3268, 616, 9425, 3551, 563, 5472, 891, 22833, 12365, 622, 840, 15479, 832, 1187, 6773, 883, 519, 13022, 878, 18729, 18888, 267, 799, 27499, 7250, 12274, 269, 634, 4616, 540, 7250, 12274, 568, 6697, 547, 519, 5108, 540, 22833, 12365, 622, 630, 326, 1508, 519, 11466, 1063, 519, 1079, 1916, 1607, 7503, 568, 476, 272, 281, 272, 630, 328, 4318, 269, 835, 11140, 540, 14915, 622, 27499, 835, 23442, 543, 568, 4061, 6697, 547, 835, 11140, 540, 22833, 12365, 622, 1040, 1703, 568, 930, 2963, 602, 713, 568, 3020, 538, 24155, 269, 7324, 519, 840, 15479, 832, 267, 621, 5654, 899, 21449, 622, 568, 519, 1732, 3903, 1317, 621, 568, 8311, 2213, 538, 1034, 8031, 267, 6466, 476, 3583, 260, 540, 519, 14915, 622, 2115, 513, 2324, 6797, 269, 0, 13750, 540, 19578, 1160, 8010, 338, 2622, 4303, 585, 12426, 539, 12292, 454, 13126, 281, 12426, 10960, 7126, 11873, 454, 16129, 11553, 6124, 1873, 790, 910, 9484, 476, 1626, 267, 476, 1708, 273, 454, 2507, 2622, 4303, 585, 12426, 539, 12292, 568, 513, 1982, 540, 12426, 10960, 7126, 11873, 630, 293, 2752, 300, 264, 7498, 310, 23808, 5058, 307, 2177, 267, 20029, 269, 476, 1626, 267, 476, 1708, 273, 1315, 11266, 6124, 1873, 790, 270, 4534, 17135, 13690, 32083, 540, 19578, 814, 29064, 5239, 476, 273, 267, 476, 1708, 273, 834, 13328, 4303, 585, 12426, 539, 12292, 257, 630, 310, 5263, 288, 264, 2066, 634, 8316, 4486, 324, 3557, 269, 654, 5263, 288, 16033, 919, 519, 811, 982, 476, 3583, 5479, 2244, 2831, 6659, 585, 1426, 1169, 1032, 282, 654, 5263, 288, 568, 14120, 922, 476, 4375, 628, 1032, 543, 568, 513, 11451, 29627, 1758, 1242, 1982, 563, 257, 3682, 743, 600, 725, 13668, 723, 1044, 2366, 547, 782, 772, 2529, 269, 5041, 832, 543, 594, 6415, 3226, 28165, 602, 19578, 814, 6444, 2622, 4303, 585, 12426, 539, 12292, 269, 3733, 4651, 729, 4535, 538, 9412, 6202, 4975, 2437, 1767, 18238, 595, 14811, 560, 668, 267, 15445, 10615, 540, 12426, 10960, 7126, 11873, 269, 834, 296, 993, 3833, 5432, 609, 519, 9297, 540, 6683, 538, 19578, 543, 6616, 17135, 32083, 7028, 654, 5263, 288, 568, 1360, 8716, 547, 938, 5692, 4799, 14807, 1049, 2621, 267, 23405, 267, 543, 17600, 616, 4371, 2429, 519, 772, 2529, 269, 607, 1134, 607, 824, 2477, 269, 901, 1032, 267, 538, 16512, 2621, 616, 9709, 538, 19578, 267, 12425, 267, 15930, 267, 12590, 267, 1715, 3840, 267, 4993, 267, 14822, 267, 11882, 267, 8419, 267, 543, 16506, 282, 538, 1840, 547, 3875, 5691, 2621, 563, 1607, 1032, 781, 2616, 766, 568, 3226, 6209, 2094, 267, 538, 19220, 540, 476, 4375, 1296, 540, 9870, 4656, 998, 654, 5263, 288, 267, 543, 12220, 602, 5815, 476, 11152, 260, 540, 6800, 798, 711, 29343, 540, 519, 5134, 13015, 540, 3484, 539, 2831, 267, 5176, 782, 3484, 539, 2831, 616, 1869, 6659, 538, 834, 16371, 11396, 2437, 1141, 789, 616, 524, 3042, 267, 22125, 267, 4573, 23624, 267, 812, 8518, 1194, 267, 546, 745, 13949, 267, 543, 17792, 741, 2067, 2115, 563, 13010, 267, 476, 3199, 260, 540, 782, 938, 1216, 568, 1031, 585, 12051, 8105, 267, 538, 19220, 540, 7839, 22520, 543, 524, 23774, 1782, 26221, 269, 17904, 689, 12051, 11396, 5170, 547, 28067, 8933, 543, 15780, 6864, 28875, 267, 5001, 267, 12615, 908, 519, 3390, 269, 634, 2136, 8315, 814, 10294, 3662, 8105, 513, 2101, 23784, 547, 2518, 8337, 267, 543, 1004, 10876, 616, 7255, 676, 891, 7835, 563, 4002, 610, 1472, 5239, 476, 273, 526, 267, 654, 5263, 288, 12134, 4961, 547, 1289, 1857, 3007, 547, 891, 10296, 2152, 267, 543, 547, 2263, 513, 27357, 267, 32593, 550, 2030, 2861, 2732, 269, 5239, 476, 273, 526, 568, 519, 14512, 540, 8575, 32257, 19413, 267, 519, 1158, 781, 19466, 12167, 540, 4264, 8105, 269, 634, 1982, 849, 7512, 513, 1554, 17489, 3728, 1996, 26718, 563, 13328, 4303, 585, 12426, 539, 12292, 568, 513, 1982, 540, 12426, 10960, 7126, 11873, 630, 293, 2752, 300, 1070, 513, 6115, 9823, 2861, 3084, 18758, 3919, 14957, 585, 3662, 2924, 543, 17154, 1143, 2094, 476, 3192, 277, 269, 1280, 1296, 267, 674, 2752, 300, 729, 519, 1152, 3084, 3662, 2924, 3919, 8165, 585, 3484, 539, 2831, 269, 1280, 811, 1344, 267, 3643, 3484, 25901, 3820, 610, 1158, 1485, 1721, 325, 28534, 534, 7769, 3820, 563, 23086, 281, 18238, 14811, 560, 668, 267, 1496, 16942, 6870, 2639, 306, 21788, 4753, 12426, 10960, 7126, 11873, 0, 1607, 2376, 814, 606, 15458, 11239, 2511, 15301, 20606, 476, 1001, 279, 994, 288, 13570, 3774, 568, 513, 1826, 540, 3774, 602, 814, 513, 17860, 4099, 269, 1358, 666, 581, 4330, 607, 9967, 540, 1079, 834, 338 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 339, 13925, 272, 4151, 563, 1892, 1411, 2594, 630, 306, 272, 267, 512, 272, 1341, 24303, 264, 607, 519, 1101, 2680, 563, 1892, 32190, 273, 2965, 5734, 693, 512, 273, 454, 1892, 1411, 2594, 630, 306, 273, 267, 512, 273, 1341, 24303, 264, 607, 519, 2034, 2680, 454, 1892, 1411, 12337, 519, 6991, 607, 630, 306, 273, 910, 590, 272, 264, 1315, 630, 339, 273, 1341, 24303, 910, 630, 339, 272, 1341, 24303, 4297, 815, 630, 306, 273, 910, 590, 272, 264, 1315, 630, 339, 273, 910, 512, 272, 994, 1892, 1809, 519, 8390, 538, 24303, 689, 6482, 547, 6482, 8591, 6846, 547, 519, 6482, 563, 274, 269, 2991, 1082, 7403, 596, 1628, 513, 3349, 454, 1892, 2422, 519, 3349, 547, 3313, 519, 1699, 6991, 454, 1892, 2422, 519, 942, 2094, 519, 2063, 9300, 1867, 547, 5173, 519, 3845, 3564, 519, 9300, 454, 1892, 3845, 815, 6991, 2608, 942, 8884, 692, 2162, 4635, 8249, 6356, 1947, 692, 763, 1034, 17077, 2200, 692, 1892, 17020, 12296, 547, 519, 5721, 17120, 454, 1892, 2422, 540, 519, 5721, 3294, 692, 763, 1034, 726, 550, 3814, 4199, 692, 1892, 17765, 692, 12179, 942, 596, 666, 946, 513, 726, 550, 3814, 4199, 547, 9004, 946, 540, 513, 17077, 835, 596, 723, 513, 3094, 269, 1280, 1383, 692, 2162, 19750, 10819, 1411, 5620, 547, 16534, 692, 272, 269, 634, 3349, 568, 1932, 2462, 563, 1892, 1411, 5732, 991, 513, 9522, 540, 7403, 454, 273, 269, 634, 2418, 596, 2268, 4268, 14477, 563, 1892, 1411, 991, 547, 3328, 543, 7447, 5470, 780, 763, 2418, 596, 2268, 4268, 18928, 692, 1892, 1280, 1383, 267, 1142, 942, 596, 2268, 519, 6991, 7447, 568, 14887, 267, 27229, 1317, 519, 5721, 568, 3001, 2509, 17596, 3282, 532, 563, 1892, 1411, 991, 547, 1118, 7864, 7403, 610, 946, 519, 6482, 596, 1118, 811, 3927, 780, 1012, 476, 274, 269, 2836, 2320, 908, 24665, 566, 543, 1546, 5120, 566, 692, 2162, 1215, 7043, 1281, 621, 6875, 547, 17547, 2496, 2521, 519, 1739, 3635, 780, 272, 269, 7994, 513, 9300, 563, 273, 269, 10925, 519, 5721, 593, 513, 1576, 602, 786, 3444, 519, 9300, 563, 274, 269, 14840, 519, 5721, 909, 547, 513, 3586, 3432, 563, 275, 269, 12315, 519, 3432, 4642, 4971, 693, 513, 4087, 602, 13515, 519, 5721, 609, 922, 3346, 593, 519, 9300, 454, 276, 269, 12433, 519, 942, 1063, 950, 596, 5795, 519, 4971, 543, 950, 519, 9300, 15427, 563, 277, 269, 6733, 585, 2834, 885, 269, 0, 258, 1215, 547, 12433, 513, 12540, 1400, 7780, 1006, 20677, 692, 11598, 1892, 18347, 30502, 270, 4467, 18450, 270, 7476, 1399, 16103, 454, 18704, 898, 692, 25219, 1006, 6257, 513, 7082, 781, 9547, 610, 8788, 269, 8859, 1235, 1419, 1265, 621, 10375, 547, 2268, 10626, 1210, 9489, 547, 4766, 519, 3902, 6800, 1747, 593, 5370, 610, 2833, 269, 901, 2268, 14543, 538, 1082, 2665, 267, 971, 607, 538, 7893, 519, 10626, 1004, 1205, 689, 9489, 2933, 269, 769, 891, 2665, 267, 24192, 946, 16494, 4559, 267, 1572, 2588, 2812, 269, 1230, 14846, 7954, 5267, 602, 607, 513, 7082, 2306, 811, 2724, 267, 1142, 1367, 3063, 13362, 6770, 1447, 3606, 8788, 269, 901, 1876, 540, 32033, 8589, 10626, 2829, 602, 519, 8589, 10626, 540, 4747, 12772, 11179, 607, 4747, 14380, 780, 11917, 1555, 610, 7447, 513, 2078, 1063, 606, 1367, 781, 4747, 543, 10626, 269, 1280, 1383, 267, 513, 1268, 949, 723, 513, 10626, 1599, 11341, 579, 267, 741, 10626, 267, 543, 1775, 267, 741, 4747, 267, 2687, 547, 579, 815, 476, 2004, 18414, 328, 780, 24280, 519, 1367, 781, 10626, 693, 513, 3490, 4747, 269, 1280, 1383, 267, 952, 519, 1367, 7620, 814, 606, 4747, 540, 8096, 2412, 267, 1822, 267, 1287, 5173, 476, 2004, 6398, 20734, 2412, 267, 1822, 815, 476, 1015, 267, 1822, 2588, 2812, 780, 24280, 519, 1367, 781, 10626, 693, 606, 4747, 540, 8096, 272, 811, 982, 519, 3490, 4747, 281, 476, 2004, 6398, 20734, 263, 2412, 267, 1822, 1341, 476, 272, 264, 815, 476, 1015, 267, 1822, 269, 10219, 2588, 2812, 780, 8340, 519, 3017, 1063, 891, 1079, 2418, 281, 476, 1015, 267, 1822, 269, 10219, 910, 476, 1015, 267, 1822, 815, 476, 271, 269, 10219, 2588, 2812, 269, 901, 568, 519, 1367, 781, 8589, 10626, 540, 4747, 693, 8096, 2412, 267, 1822, 269, 0, 258, 16338, 1063, 26941, 540, 834, 1708, 271, 7537, 290, 476, 1015, 289, 10819, 270, 19370, 476, 2537, 5016, 763, 1739, 1966, 568, 689, 1312, 519, 476, 1708, 271, 7537, 290, 476, 1015, 289, 1948, 2537, 543, 476, 1708, 271, 7537, 290, 476, 1321, 289, 1948, 866, 267, 865, 1312, 2042, 28570, 547, 713, 2985, 780, 1012, 9046, 692, 306, 13645, 1269, 5723, 7374, 259, 538, 519, 11282, 7077, 814, 14622, 693, 519, 2798, 1269, 288, 263, 272, 267, 272, 1070, 645, 8987, 272, 267, 272, 1070, 595, 8987, 272, 16427, 272, 1070, 259, 543, 1269, 291, 263, 272, 16427, 272, 1040, 259, 6333, 519, 1739, 2185, 14759, 1384, 259, 299, 267, 259, 513, 10047, 540, 1269, 3445, 17353, 15132, 4151, 4831, 22018, 3772, 1472, 519, 5169, 16963, 259, 305, 267, 259, 513, 10047, 540, 1269, 3445, 17353, 15132, 4151, 29628, 1472, 519, 5169, 16963, 259, 295, 267, 259, 513, 8086, 2066, 519, 1269, 343, 27572, 9471, 282, 543, 692, 259, 309, 267, 259, 513, 8086, 2066, 519, 1269, 344, 27572, 9471, 780, 10376, 540, 891, 14759, 7851, 519, 10945, 5196, 3294, 267, 855, 519, 7158, 540, 519, 13042, 14622, 786, 1689, 269, 1280, 1383, 267, 7311, 1269, 305, 259, 543, 1287, 1269, 309, 259, 1131, 6494, 519, 14584, 1269, 288, 259, 693, 18159, 272, 267, 272, 7751, 547, 1269, 8987, 272, 16427, 272, 7751, 543, 1131, 6494, 519, 14584, 1269, 289, 259, 693, 1269, 8987, 272, 267, 272, 7751, 547, 3294, 269, 1215, 1082, 9696, 540, 1269, 736, 259, 14759, 6074, 689, 4399, 346, 299, 267, 681, 267, 670, 267, 966, 315, 4151, 786, 6494, 782, 540, 519, 13042, 14622, 1394, 547, 741, 3312, 7158, 286, 630, 2690, 1383, 267, 1269, 305, 267, 681, 267, 966, 267, 670, 259, 568, 835, 5311, 540, 1269, 275, 259, 14759, 602, 786, 6494, 519, 14622, 1394, 547, 741, 3312, 7158, 24355, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 273, 3867, 4391, 348, 1422, 29911, 20728, 8578, 18950, 289, 264, 4153, 476, 274, 24206, 476, 273, 3867, 3607, 348, 1422, 29911, 20728, 8578, 18950, 290, 264, 4153, 476, 273, 3867, 4343, 348, 1422, 29911, 20728, 8578, 18950, 291, 264, 4153, 476, 274, 24206, 476, 273, 3867, 4391, 348, 1422, 29911, 20728, 8578, 18950, 292, 264, 4153, 476, 273, 3867, 4375, 10592, 1012, 8827, 476, 272, 692, 4131, 22791, 264, 20301, 4831, 22018, 3772, 270, 11034, 532, 10066, 543, 11196, 264, 20301, 29628, 10066, 269, 2913, 476, 272, 267, 273, 267, 274, 267, 543, 476, 275, 20301, 799, 9076, 656, 589, 568, 538, 780, 18600, 1125, 602, 689, 1022, 9642, 9076, 656, 543, 1022, 10066, 267, 519, 476, 275, 14759, 1267, 538, 930, 32089, 540, 18159, 273, 31956, 476, 273, 19985, 476, 275, 31956, 476, 275, 268, 7751, 780, 763, 1482, 4422, 602, 689, 1022, 1256, 9076, 656, 543, 1022, 10066, 267, 519, 476, 275, 14759, 1267, 538, 930, 32089, 540, 18159, 272, 31956, 476, 272, 19985, 476, 274, 31956, 476, 274, 268, 7751, 780, 2171, 1376, 938, 1101, 476, 866, 7575, 676, 3257, 8726, 649, 1616, 267, 476, 275, 5079, 1142, 942, 269, 4595, 476, 866, 568, 9642, 267, 649, 1590, 1439, 909, 593, 606, 1256, 9076, 656, 780, 2026, 1767, 1657, 267, 649, 917, 602, 4010, 835, 540, 519, 2185, 14759, 786, 2285, 721, 18159, 272, 266, 29408, 543, 649, 1590, 946, 602, 7004, 780, 13295, 1269, 275, 3867, 866, 18098, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 476, 273, 3867, 4343, 32556, 1012, 8827, 476, 273, 692, 28775, 2685, 267, 2576, 786, 1589, 540, 513, 1732, 835, 267, 855, 1934, 568, 606, 9940, 2626, 267, 946, 1152, 952, 596, 616, 2731, 26525, 269, 1269, 736, 259, 7575, 666, 581, 1500, 267, 543, 1142, 1847, 723, 1269, 275, 259, 5079, 267, 865, 513, 2698, 540, 1269, 275, 3867, 736, 13157, 273, 3867, 2412, 4151, 7575, 269, 3689, 267, 1310, 519, 1269, 736, 259, 7575, 267, 8672, 589, 666, 1152, 581, 538, 1101, 9076, 656, 18159, 272, 267, 272, 7751, 610, 3791, 9076, 656, 1269, 8987, 272, 16427, 272, 30879, 8307, 519, 835, 538, 519, 1101, 9076, 656, 1568, 267, 865, 7941, 676, 1269, 273, 10608, 3767, 267, 595, 1590, 581, 538, 519, 6587, 9076, 656, 607, 589, 269, 645, 666, 581, 2901, 538, 519, 2034, 18121, 8987, 272, 267, 476, 272, 7751, 264, 610, 8772, 9076, 656, 18121, 263, 272, 267, 910, 272, 7751, 264, 2073, 855, 649, 1616, 621, 547, 581, 538, 519, 2034, 9076, 656, 267, 865, 7941, 676, 1269, 273, 259, 1586, 269, 3767, 607, 589, 543, 645, 14183, 519, 2175, 267, 595, 543, 667, 786, 849, 581, 693, 741, 3312, 5544, 269, 4399, 2765, 346, 273, 3867, 2412, 12453, 273, 24206, 273, 13157, 273, 3867, 4343, 23201, 634, 2626, 568, 4399, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 476, 273, 3867, 4343, 22288, 9625, 21914, 8421, 545, 692, 1012, 8827, 476, 274, 692, 763, 2698, 1297, 540, 5311, 568, 1269, 275, 3867, 736, 13157, 273, 3867, 2412, 31859, 9616, 602, 972, 666, 1152, 581, 1256, 1297, 540, 18759, 2094, 789, 1267, 538, 519, 1482, 4550, 12641, 1442, 3772, 10066, 540, 519, 2357, 1182, 1269, 288, 32390, 267, 290, 267, 291, 10608, 4475, 267, 519, 5506, 540, 2348, 519, 1482, 4550, 12641, 1442, 3772, 10066, 609, 519, 3312, 11460, 1310, 519, 7004, 568, 4399, 2765, 346, 272, 2410, 273, 31859, 9202, 267, 1256, 1297, 540, 18759, 1611, 602, 972, 1590, 581, 1256, 1297, 540, 32186, 2094, 741, 2040, 568, 1256, 269, 4634, 32186, 1267, 1152, 538, 519, 3312, 2990, 610, 1269, 5197, 17353, 15132, 4151, 10047, 540, 621, 780, 7712, 10047, 1269, 305, 259, 543, 10047, 1269, 299, 259, 666, 26118, 1142, 824, 856, 267, 519, 3017, 1063, 519, 2338, 540, 873, 5581, 519, 3803, 2990, 269, 634, 5506, 540, 519, 7004, 13059, 519, 14622, 547, 519, 610, 326, 1400, 2990, 2016, 602, 972, 616, 1256, 1297, 540, 32186, 568, 6697, 547, 519, 5506, 602, 692, 259, 347, 333, 27562, 9984, 333, 27331, 264, 24689, 25406, 271, 315, 335, 7116, 346, 275, 4151, 950, 1269, 347, 333, 263, 295, 9984, 333, 263, 309, 264, 24689, 25406, 271, 315, 335, 7116, 346, 275, 21456, 528, 454, 259, 347, 333, 27562, 9984, 333, 27331, 264, 24689, 25406, 273, 315, 335, 7116, 346, 275, 4151, 950, 1269, 347, 333, 263, 295, 9984, 333, 263, 309, 264, 24689, 25406, 273, 315, 335, 7116, 346, 275, 10592, 6518, 568, 1586, 267, 4399, 2765, 346, 272, 2410, 273, 31859, 11997, 267, 1269, 273, 3867, 2412, 4153, 10383, 21702, 346, 272, 2410, 273, 4153, 10383, 21702, 346, 272, 2410, 273, 18098, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 273, 3867, 4343, 22288, 9625, 329, 9655, 340, 600, 327, 9340, 692, 1012, 8827, 476, 275, 692, 30860, 602, 1022, 6292, 540, 1079, 540, 891, 14759, 2901, 2220, 2355, 519, 1535, 543, 586, 18396, 24002, 267, 2258, 919, 519, 1535, 543, 586, 18396, 24002, 267, 2220, 2355, 543, 2258, 919, 519, 1535, 543, 586, 18396, 24002, 267, 610, 3762, 519, 3312, 24240, 269, 5015, 267, 5469, 602, 585, 1142, 540, 891, 2164, 267, 952, 649, 4019, 1776, 6292, 540, 14759, 267, 835, 540, 891, 2164, 786, 4755, 1586, 267, 543, 609, 3160, 5506, 269, 4475, 267, 1100, 2339, 1018, 1533, 1310, 649, 4019, 519, 1101, 1269, 866, 259, 8424, 540, 14759, 267, 972, 568, 513, 4399, 2765, 1691, 259, 4960, 519, 2063, 6292, 540, 14759, 786, 2132, 519, 4137, 547, 922, 3312, 2990, 269, 4475, 267, 519, 2626, 568, 4399, 2765, 346, 275, 3867, 736, 3686, 275, 815, 476, 275, 3867, 866, 348, 815, 1422, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 273, 3867, 4343, 32556, 349, 545, 14670, 3700, 0, 258, 1215, 798, 596, 2328, 606, 3830, 540, 519, 1899, 609, 513, 9386, 540, 476, 476, 274, 270, 273, 543, 519, 586, 25435, 1107, 273, 2496, 19878, 476, 1724, 267, 476, 1001, 278, 692, 8450, 513, 3070, 1184, 2630, 1384, 2971, 19247, 1384, 763, 9386, 25435, 1106, 540, 513, 5276, 3830, 568, 281, 1269, 344, 815, 1422, 3667, 10233, 346, 1042, 2410, 332, 348, 1535, 1341, 1422, 3667 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11617, 18176, 3023, 3604, 538, 519, 3152, 1414, 1738, 711, 577, 729, 7318, 593, 476, 30640, 7729, 30416, 540, 1634, 2085, 543, 3023, 269, 634, 8167, 540, 2953, 3023, 10467, 568, 476, 3199, 260, 950, 782, 15013, 616, 9286, 267, 543, 476, 8660, 260, 950, 15259, 1071, 343, 2801, 8655, 519, 6060, 538, 799, 519, 28486, 1397, 519, 6574, 16937, 616, 16934, 269, 4014, 1082, 15259, 1071, 343, 2801, 630, 3374, 8472, 723, 713, 16770, 13591, 19916, 267, 27195, 873, 814, 519, 5413, 540, 15186, 4227, 3023, 12886, 538, 3023, 532, 6959, 269, 1280, 1312, 28486, 267, 972, 568, 513, 2178, 2078, 1063, 2085, 693, 2669, 543, 1414, 1738, 711, 577, 6060, 269, 4658, 945, 5884, 693, 513, 7820, 2085, 4043, 547, 723, 9962, 267, 811, 21522, 22190, 8960, 1414, 1738, 711, 2583, 982, 1004, 540, 3152, 15325, 269, 1703, 616, 849, 1713, 2551, 3604, 269, 634, 476, 1240, 628, 1700, 866, 628, 2540, 2296, 3732, 689, 853, 269, 5696, 728, 781, 5783, 814, 513, 811, 21522, 19916, 982, 4892, 540, 3864, 610, 3979, 22693, 269, 7025, 7506, 593, 20258, 1646, 630, 341, 9559, 667, 10638, 264, 2408, 547, 1683, 519, 1034, 2693, 7778, 585, 891, 2551, 3604, 269, 2549, 808, 4284, 19848, 565, 267, 476, 1220, 276, 269, 9736, 476, 1220, 276, 25067, 6441, 1170, 267, 5549, 269, 0, 347, 3528, 27722, 918, 9820, 518, 1475, 454, 347, 20809, 476, 1691, 267, 476, 1001, 275, 476, 5400, 281, 3393, 7537, 29269, 1475, 454, 1103, 3487, 10001, 267, 649, 20386, 909, 938, 5717, 593, 19961, 267, 20316, 543, 17142, 2530, 269, 769, 3487, 966, 267, 649, 4983, 519, 2185, 2010, 540, 4393, 17799, 7298, 593, 519, 3060, 267, 1210, 519, 7662, 22812, 2952, 17565, 649, 13890, 538, 3487, 594, 563, 306, 13996, 14409, 630, 27001, 10046, 338, 994, 5804, 519, 3060, 781, 5133, 267, 649, 21138, 519, 942, 1974, 1063, 519, 1439, 540, 513, 7662, 2095, 543, 519, 4098, 540, 519, 7222, 16253, 2095, 547, 7746, 4393, 269, 13575, 6340, 267, 519, 7746, 3085, 1405, 2253, 4393, 513, 7662, 2394, 621, 814, 4607, 519, 3003, 2095, 267, 1775, 4318, 1421, 519, 2063, 17142, 538, 519, 7662, 5048, 282, 13974, 267, 519, 7746, 3085, 1405, 2253, 11488, 519, 16253, 2394, 621, 814, 8737, 4393, 519, 7662, 269, 1284, 3006, 3277, 547, 891, 17799, 1063, 8928, 607, 834, 335, 675, 257, 4393, 17799, 267, 3982, 689, 1776, 1826, 540, 12499, 32704, 4393, 8488, 649, 1289, 5182, 1386, 585, 1239, 543, 1865, 2663, 269, 18218, 4393, 17799, 2049, 607, 513, 1267, 540, 513, 7662, 5048, 267, 543, 4061, 2141, 2049, 1369, 513, 8142, 563, 9558, 9146, 29895, 16503, 5928, 454, 4322, 834, 335, 675, 257, 7746, 4393, 17799, 616, 3622, 5266, 2241, 547, 3713, 267, 547, 1174, 267, 543, 547, 6961, 269, 3690, 9146, 29895, 781, 19219, 14409, 3349, 8638, 782, 540, 519, 4767, 4393, 17799, 585, 606, 5106, 538, 9184, 983, 3898, 282, 676, 24590, 713, 3349, 609, 519, 645, 8784, 12810, 543, 10223, 513, 4737, 540, 1719, 267, 519, 645, 8784, 12810, 786, 4159, 519, 2063, 17142, 540, 519, 7662, 2095, 543, 519, 1101, 17142, 540, 519, 7222, 16253, 2095, 267, 3927, 6516, 2719, 519, 6482, 563, 8196, 519, 19219, 14409, 7305, 8237, 609, 519, 645, 8784, 12810, 547, 9414, 6843, 4393, 8488, 454, 2791, 949, 849, 946, 519, 27387, 5811, 8237, 609, 519, 645, 8784, 12810, 282, 713, 786, 1683, 513, 2070, 540, 519, 7662, 543, 16253, 17142, 8928, 607, 1134, 607, 519, 4393, 6482, 563, 306, 5902, 519, 27387, 7348, 609, 519, 645, 8784, 12810, 547, 9414, 519, 7662, 2095, 267, 6843, 4393, 543, 16253, 2095, 454, 30252, 1386, 585, 4578, 630, 306, 2056, 19219, 267, 10738, 513, 10046, 994, 15919, 267, 519, 3060, 8818, 786, 581, 2111, 547, 10141, 1239, 693, 513, 2557, 5488, 982, 519, 11488, 3498, 666, 5838, 547, 519, 27427, 23094, 269, 1280, 1383, 267, 513, 11112, 10264, 335, 7746, 949, 4090, 3320, 14443, 11488, 513, 1804, 3758, 1317, 540, 513, 12210, 267, 3965, 610, 17765, 4420, 331, 2940, 1188, 269, 1284, 3277, 547, 891, 533, 13415, 602, 2049, 538, 519, 1647, 540, 513, 2095, 607, 834, 28588, 1386, 585, 1239, 257, 2175, 282, 972, 568, 4986, 593, 519, 3060, 630, 7224, 27427, 2095, 1852, 23061, 264, 7303, 519, 7662, 610, 16253, 2095, 689, 11173, 267, 865, 519, 2014, 1590, 581, 4835, 547, 519, 11488, 6843, 269, 10060, 1386, 585, 1239, 4420, 6352, 1815, 802, 2049, 1369, 513, 2095, 630, 13318, 1737, 540, 1063, 8928, 1070, 543, 616, 1644, 547, 519, 11488, 6843, 910, 2901, 519, 7817, 610, 7746, 563, 9558, 9146, 29895, 16503, 1674, 454, 4322, 2665, 666, 581, 811, 2352, 547, 14650, 269, 4595, 519, 2783, 568, 3622, 711, 1932, 1455, 267, 621, 568, 1419, 1655, 547, 4341, 856, 824, 2773, 4420, 6352, 1815, 802, 1101, 267, 1354, 10992, 585, 1239, 27781, 269, 1879, 621, 1281, 2049, 267, 519, 2783, 814, 519, 1198, 540, 14178, 519, 8653, 540, 513, 7662, 610, 16253, 2095, 267, 543, 5182, 1386, 585, 1239, 17799, 616, 3769, 538, 3690, 9146, 29895, 781, 19219, 590, 2056, 7403, 269, 23037, 519, 2557, 6241, 540, 519, 19219, 590, 2056, 7305, 543, 8237, 519, 6885, 609, 519, 645, 8784, 12810, 282, 519, 645, 8784, 12810, 786, 9414, 519, 21168, 2404, 609, 513, 11488, 6482, 269, 1280, 1346, 11488, 7403, 1141, 596, 14353, 513, 5182, 1386, 585, 1239, 2783, 267, 1413, 585, 7329, 548, 5712, 540, 942, 1141, 519, 11488, 6843, 781, 2095, 814, 1044, 29169, 269, 12830, 569, 267, 513, 5182, 1386, 585, 1239, 8488, 786, 2165, 3729, 609, 519, 6771, 540, 513, 1239, 17142, 602, 759, 6979, 519, 30699, 781, 2095, 267, 711, 513, 27427, 8028, 298, 689, 519, 17513, 602, 1522, 2303, 513, 27427, 610, 3498, 6885, 23061, 563, 763, 19219, 590, 2056, 3349, 568, 8237, 609, 519, 645, 8784, 12810, 547, 948, 9414, 10060, 1386, 585, 4578, 2175, 282, 4063, 519, 23249, 538, 6771, 602, 759, 6979, 4830, 540, 1022, 27427, 8028, 298, 563, 5141, 1304, 14409, 630, 27001, 10046, 338, 994, 5804, 519, 3060, 781, 5133, 267, 649, 21138, 519, 942, 1974, 1063, 519, 1439, 540, 513, 16253, 2095, 543, 519, 4098, 540, 519, 1985, 7662, 2095, 547, 7817, 4393, 269, 13575, 6340, 267, 519, 7817, 3112, 2253, 4393, 513, 16253, 2394, 621, 814, 4607, 519, 3003, 16253, 2095, 267, 1775, 4318, 1421, 519, 2063, 17142, 540, 519, 16253, 5048, 282, 13974, 267, 519, 7817, 3085, 1405, 2253, 11488, 519, 1985, 630, 2908, 264, 7662, 2394, 621, 814, 6192, 4393, 519, 16253, 269, 630, 1607, 9756, 3622, 10039, 547, 7662, 22812, 2952, 8928, 593, 519, 1482, 27427, 4276, 8094, 9558, 9146, 29895, 16503, 5928, 454, 13436, 547, 7746, 4393, 17799, 267, 7817, 17799, 616, 5266, 2241, 547, 1174, 269, 769, 1034, 2665, 267, 7817, 17799, 2049, 1063, 16060, 282, 538, 824, 1913, 267, 1310, 835, 8142, 814, 6192, 855, 1354, 519, 1985, 8142, 5956, 269, 1280, 4247, 609, 8142, 7400, 1232, 3941, 267, 3690, 9146, 29895, 781, 27387, 5811, 717, 656, 339, 5750, 2070, 666, 9414, 891, 17799, 1134, 563, 294, 2355, 1063, 16060, 616, 2404, 609, 7817, 4393, 17799, 454, 11577, 870, 532, 1849, 1304, 14409, 454, 9616, 602, 649, 8263, 7453, 15984, 547, 519, 4214, 540, 834, 7774, 257, 1934, 282, 4945, 547, 5496, 9337, 269, 1403, 519, 10250, 814, 9676, 2789, 3268, 910, 2161, 519, 3593, 4044, 919, 998, 513, 3126, 540, 4238, 910, 1287, 519, 3593, 834, 20459, 942, 257, 1063, 3268, 786, 2408, 607, 7817, 4393, 8488, 267, 609, 7222, 10616, 1063, 16060, 269, 1411, 949, 1869, 946, 891, 3818, 9912, 4247, 585, 2079, 267, 19551, 547, 10958, 7817, 4393, 17799, 269, 17968, 267, 596, 666, 4688, 1142, 1900, 607, 513, 5094, 4305, 676, 8939, 513, 5311, 540, 16060, 689, 519, 27387, 3349, 563, 2690, 811, 3060, 2994, 267, 4945, 1934, 585, 519, 2407, 2376, 563, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 24415, 935, 1805, 528, 12229, 10378, 5549, 1421, 513, 476, 1428, 4458, 3048, 1807, 540, 3301, 20452, 4859, 3435, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 24415, 935, 1805, 528, 12229, 10378, 267, 5549, 269, 630, 2793, 306, 6395, 304, 281, 674, 3201, 290, 264, 568, 513, 3056, 3301, 20452, 4859, 2754, 5356, 513, 4780, 3022, 267, 8800, 268, 1725, 8251, 267, 3301, 20452, 4859, 543, 1239, 2533, 3760, 269, 4706, 17514, 1222, 3070, 5131, 1805, 528, 10378, 267, 18252, 513, 5997, 2632, 320, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6860, 281, 876, 6751, 29643, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 3955, 719, 324, 267, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 267, 814, 1044, 3957, 968, 289, 1258, 2763, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 13192, 5890, 334, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 276, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 267, 1715, 3840, 269, 3955, 719, 324, 568, 519, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 799, 13315, 476, 1321, 1239, 7740, 267, 476, 1691, 5691, 1239, 7740, 543, 476, 4029, 897, 6327, 7740, 267, 609, 4296, 547, 476, 4198, 740, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6734, 281, 3393, 6751, 29643, 3367, 338, 281, 476, 29024, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 630, 3041, 290, 264, 11054, 10378, 12462, 3041, 290, 1606, 32464, 14615, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 5565, 3056, 1875, 3491, 22327, 5059, 593, 6531, 543, 1344, 3354, 267, 630, 3041, 290, 264, 11054, 543, 13192, 8232, 19137, 630, 5425, 288, 1070, 2919, 519, 26133, 13192, 8232, 12333, 630, 290, 5425, 303, 264, 13995, 547, 2232, 519, 2799, 3747, 585, 6531, 3354, 6791, 1813, 547, 4028, 2208, 538, 6531, 269, 21298, 3957, 968, 763, 8921, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6734, 281, 876, 6751, 29643, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 1325, 1068, 20603, 267, 5549, 1421, 519, 3056, 8502, 540, 8232, 23829, 8584, 4149, 16291, 3435, 585, 519, 6531, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 1325, 1068, 20603, 267, 5549, 1421, 2488, 8232, 23829, 8584, 4149, 16291, 585, 593, 1790, 8145, 2478, 267, 6531, 267, 543, 10316, 1102, 2858, 23461, 267, 12419, 2620, 3354, 5813, 543, 6024, 4027, 585, 5561, 693, 513, 2539, 1942, 982, 2757, 3354, 3435, 269, 27975, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6349, 281, 3393, 6751, 29643, 3367, 338, 281, 476, 275, 3607, 454, 763, 10829, 1881, 19004, 4564, 519, 2698, 2518, 2232, 762, 2344, 630, 307, 4456, 264, 585, 14164, 602, 267, 2687, 547, 513, 2487, 9517, 290, 1867, 267, 786, 1332, 547, 606, 13778, 1269, 272, 269, 274, 18265, 676, 476, 1001, 280, 269, 2060, 713, 519, 3791, 5951, 540, 519, 5769, 25322, 2128, 18735, 540, 4448, 3457, 267, 14233, 543, 8596, 568, 26405, 547, 1491, 1055, 538, 476, 1001, 277, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 6424, 32511, 879, 577, 17427, 267, 16628, 543, 1071, 1922, 10133, 540, 6844, 344, 25957, 267, 786, 1865, 875, 519, 2702, 547, 1569, 543, 5659, 519, 7372, 4320, 540, 18297, 1239, 689, 2113, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 4905, 281, 3393, 6751, 29643, 454, 18794, 721, 693, 13192, 5890, 334, 1923, 7711, 28830, 2750, 17763, 476, 1001, 277, 1107, 4873, 476, 278, 268, 280, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 543, 5437, 476, 272, 268, 274, 693, 519, 13244, 27262, 13482, 4741, 538, 13244, 27262, 267, 11404, 1107, 543, 5838, 707, 2189, 5048, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 15202, 267, 543, 2792, 585, 4108, 4238, 269, 634, 9998, 1634, 4457, 737, 2572, 941, 6366, 630, 2254, 6367, 539, 264, 543, 1419, 14328, 269, 13536, 267, 28580, 650, 612, 737, 2572, 11368, 513, 11689, 1944, 6367, 1467, 563, 2691, 729, 30866, 8165, 11827, 888, 15987, 737, 2572, 941, 11827, 476, 273, 267, 4335, 1296, 3516, 267, 4440, 538, 3624, 267, 713, 1826, 540, 30866, 8165, 568, 1767, 547, 723, 12090, 538, 3127, 269, 634, 737, 2572, 616, 1500, 540, 2241, 11954, 5160, 1957, 543, 19348, 269, 4095, 8165, 737, 2572, 616, 14776, 8032, 267, 899, 519, 30866, 513, 1126, 1131, 2721, 563, 8489, 1705, 519, 30866, 22132, 689, 888, 2026, 807, 269, 27819, 476, 274, 267, 1822, 1296, 3516, 519, 30866, 729, 1101, 2442, 1242, 267, 952, 711, 11827, 267, 538, 3624, 267, 1141, 2326, 4998, 585, 30866, 2679, 941, 11593, 2139, 281, 16536, 5958, 585, 13743, 1570, 267, 5386, 267, 1164, 2389, 839, 850, 3613, 31104, 16536, 585, 10760, 1899, 267, 543, 14388, 19348, 585, 513, 2178, 267, 17426, 5943, 563, 1432, 729, 519, 30866, 1031, 585, 538, 519, 12390, 19092, 888, 23192, 267, 737, 2572, 941, 1031, 676, 519, 4108, 547, 2268, 3845, 543, 2842, 8846, 267, 543, 547, 6494, 6835, 269, 4937, 12390, 2473, 514, 540, 519, 12390, 19092, 630, 18684, 7460, 1107, 476, 13136, 5084, 264, 1031, 737, 2572, 547, 2268, 519, 3845, 540, 519, 15993, 896, 519, 1284, 12011, 836, 20066, 630, 333, 677, 8603, 540, 25708, 2473, 1014, 2221, 1916, 1432, 568, 519, 2257, 3297, 737, 2572, 888, 298, 2572, 616, 3622, 17426, 865, 602, 519, 2842, 666, 3362, 7753, 8904, 543, 12740, 519, 30866, 883, 519, 2011, 269, 2560, 1677, 1205, 707, 30866, 883, 519, 2011, 267, 519, 3196, 540, 519, 12740, 1590, 7753, 519, 3196, 540, 8904, 8066, 519, 30866, 1524, 282, 547, 1832, 621, 538, 519, 2011, 267, 519, 3196, 540, 19876, 1590, 581, 3160, 547, 519, 3196, 540, 8749, 269, 0, 3528, 519, 9550, 1032, 540, 476, 7277, 275, 267, 9478, 8055, 267, 519, 11786, 13653, 540, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 267, 1185, 993, 21724, 513, 3084, 1739, 540, 930, 476, 1839, 267, 1822, 21071, 269, 769, 1447, 982, 8938, 1296, 267, 8055, 1185, 5280, 2981, 519, 1977, 3909, 5251, 543, 6738, 1010, 1378, 2797, 1379, 15186, 269, 1133, 762, 547, 6095, 1676, 5313, 4027, 267, 8055, 4956, 547, 1491, 6927, 883, 1010, 1378, 3946, 267, 22745, 1010, 1378, 19915, 585, 519, 24164, 269, 2755, 1082, 1085, 4752, 539, 693, 519, 10206, 602, 8055, 1223, 2097, 9170, 2673, 547, 519, 6519, 5600, 267, 1866, 9833, 1010, 2196, 7146, 1010, 4984, 23829, 513, 3463, 547, 519, 6617, 540, 519, 1762, 4182, 269, 670, 15903, 676, 4254, 338, 2429, 519, 5859, 267, 8055, 729, 6038, 7166, 676, 835, 7308, 1101, 16232, 11134, 547, 581, 18272, 3990, 269, 9282, 9478, 8055, 781, 2196, 585, 7022, 568, 1631, 1655, 15422, 585, 922, 27615, 13135, 1439, 267, 519, 556, 10864, 1228, 5859, 729, 12316, 269, 8055, 1572, 585, 519, 2698, 20552, 540, 8474, 267, 519, 19479, 540, 519, 2197, 781, 4050, 527, 11230, 2456, 267, 543, 519, 556, 652, 28344, 618, 540, 513, 3084, 4871, 547, 24644, 519, 4346, 269, 1809, 8055, 781, 1034, 1271, 11556, 729, 585, 606, 7269, 540, 20038, 585, 3909, 18441, 269, 2311, 513, 942, 950, 519, 9291, 540, 7126, 1705, 711, 4019, 547, 1367, 2829, 267, 8055, 8179, 547, 7668, 519, 5313, 2229, 547, 2149, 18441, 950, 2829, 8959, 547, 798, 865, 269, 0, 19602, 5001, 3460, 8057, 6385, 267, 543, 28296, 5828, 513, 1297, 540, 519, 1158, 779, 4102, 12820, 269, 1635, 519, 3735, 17823, 2906, 267, 519, 1034, 1271, 2011, 6050, 1185, 5912, 539, 547, 645, 27739, 610, 19958, 32472, 15191, 2011, 4802, 619, 2443, 799, 5645, 7466, 607, 1082, 15915, 693, 7466, 519, 6991, 538, 2362, 931, 15684, 269, 9737, 476, 3422, 271, 543, 476, 3192, 275, 18213, 7274, 593, 5001, 19426, 8057, 3670, 16784, 269, 634, 645, 27739, 476, 278, 5325, 267, 513, 795, 636, 2692, 15191, 609, 476, 11740, 16295, 267, 3576, 5001, 2011, 2951, 547, 513, 2203, 1007, 4110, 540, 12257, 950, 9250, 538, 5130, 476, 3192, 271, 269, 3962, 4182, 1185, 693, 2547, 835, 29617, 267, 543, 1142, 29617, 1185, 18923, 1114, 4170, 585, 519, 8484, 789, 1031, 269, 645, 27739, 543, 5062, 10673, 24274, 19958, 10660, 1229, 1007, 2994, 540, 2527, 29356, 547, 4020, 7077, 547, 891, 1179, 338, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 799, 30136, 609, 1142, 824, 610, 616, 13840, 5532, 563, 268, 6176, 17835, 29770, 20459, 11451, 267, 957, 12725, 2108, 282, 8693, 19137, 15212, 1107, 21499, 282, 15597, 2139, 607, 1344, 2156, 577, 675, 693, 6142, 2754, 538, 3400, 345, 538, 5614, 476, 1001, 277, 454, 3719, 875, 1281, 713, 7415, 2333, 538, 519, 1158, 779, 2551, 2097, 827, 286, 898, 568, 3274, 1813, 547, 606, 2333, 538, 1272, 19104, 269, 14568, 1426, 3761, 543, 2564, 1646, 1500, 621, 2009, 547, 2333, 1272, 19104, 689, 476, 3374, 547, 827, 476, 10037, 1296, 256, 769, 519, 1739, 6516, 267, 3140, 2418, 585, 1272, 19104, 723, 1044, 3773, 607, 2699, 12508, 563, 19013, 267, 519, 1272, 19104, 540, 513, 1126, 2221, 568, 5097, 693, 1981, 1354, 519, 4266, 540, 4332, 269, 2060, 4332, 267, 2705, 267, 519, 1126, 1631, 814, 1082, 2053, 519, 1272, 19104, 602, 3105, 5481, 1185, 269, 898, 1590, 581, 1767, 3833, 5693, 281, 519, 8375, 2910, 273, 5834, 568, 3976, 606, 13525, 540, 519, 11999, 2333, 538, 1480, 13884, 538, 2487, 5553, 269, 901, 13884, 814, 1044, 1500, 2009, 676, 811, 9897, 16046, 14252, 543, 4872, 543, 7175, 3444, 15696, 1308, 5385, 543, 4123, 269, 4653, 267, 811, 1004, 982, 2479, 1354, 723, 513, 8122, 936, 741, 9843, 543, 513, 5150, 1216, 3761, 543, 29326, 720, 1062, 269, 1452, 1004, 1631, 723, 1569, 547, 519, 1382, 10781, 540, 3864, 5640, 267, 13500, 543, 23390, 936, 1082, 5553, 269, 2353, 713, 7064, 547, 8093, 10173, 269, 2060, 519, 19017, 1702, 540, 824, 5481, 543, 519, 946, 540, 8093, 10173, 267, 18495, 1223, 543, 666, 798, 811, 960, 982, 1346, 5481, 1354, 22713, 563, 4002, 782, 519, 1007, 9897, 543, 22908, 267, 2705, 267, 519, 23735, 7007, 7943, 568, 1631, 9268, 8335, 982, 538, 519, 3768, 324, 975, 539, 3355, 1533, 609, 6986, 10664, 269, 26365, 2592, 1586, 1118, 713, 2312, 563, 5472, 891, 2930, 2242, 538, 938, 1604, 723, 835, 3364, 538, 1455, 281, 972, 568, 513, 1689, 538, 875, 3859, 5982, 568, 9268, 269, 1284, 3425, 1628, 8075, 267, 9897, 267, 6808, 4191, 267, 3915, 15236, 267, 543, 865, 593, 269, 2201, 782, 891, 3615, 3859, 1648, 568, 12842, 543, 10736, 883, 3002, 269, 901, 3002, 1631, 2112, 916, 519, 4478, 2011, 543, 3123, 519, 2837, 2282, 519, 2666, 547, 4473, 563, 763, 2011, 2837, 568, 6027, 2094, 476, 13679, 275, 269, 634, 2014, 585, 519, 4767, 2333, 540, 713, 2011, 2837, 267, 6027, 693, 513, 4463, 540, 476, 273, 7397, 267, 568, 711, 2910, 273, 5434, 256, 5502, 267, 519, 2837, 2333, 568, 3361, 676, 23799, 9084, 3157, 540, 3859, 1648, 693, 2930, 7252, 269, 1452, 2930, 7252, 267, 2705, 267, 616, 3710, 676, 1210, 8093, 1648, 2959, 269, 8307, 538, 713, 1259, 1346, 6191, 666, 581, 9141, 267, 799, 3132, 1351, 2607, 730, 4401, 554, 7491, 267, 9897, 610, 6808, 4191, 563, 18814, 547, 713, 7004, 540, 938, 1604, 267, 811, 8143, 1648, 10301, 519, 5790, 2221, 269, 10815, 1648, 689, 7943, 10301, 519, 26484, 2666, 1858, 269, 2334, 2666, 1858, 602, 729, 4988, 609, 10664, 1354, 1480, 2534, 269, 901, 23799, 9084, 1184, 568, 7298, 547, 519, 1480, 3750, 998, 1769, 543, 14692, 269, 4935, 3025, 267, 945, 1152, 6499, 547, 13498, 621, 267, 666, 7747, 621, 5128, 693, 1022, 942, 269, 2290, 1152, 814, 547, 917, 602, 7943, 568, 519, 6117, 1648, 585, 782, 1272, 3157, 543, 585, 519, 8337, 540, 519, 5790, 269, 589, 8143, 9196, 8254, 666, 849, 1118, 519, 8143, 1198, 540, 519, 3141, 779, 12345, 7298, 269, 901, 8992, 513, 1732, 1620, 540, 519, 1114, 3157, 540, 875, 3859, 1648, 568, 9268, 269, 7316, 591, 7943, 16716, 513, 2930, 2627, 267, 930, 540, 519, 1769, 568, 12842, 543, 5950, 607, 3002, 883, 519, 4478, 5790, 269, 10815, 1648, 10301, 519, 26484, 1858, 563, 1607, 3587, 1134, 7298, 609, 2203, 4255, 267, 1851, 824, 1919, 269, 1744, 27595, 543, 2837, 3604, 616, 1732, 25992, 269, 898, 814, 547, 581, 2808, 602, 1354, 519, 4070, 540, 971, 3615, 630, 28265, 902, 264, 519, 2666, 1858, 729, 2356, 4988, 609, 10664, 269, 901, 1797, 602, 8385, 519, 3859, 5982, 729, 711, 5097, 9268, 607, 3002, 538, 519, 2666, 1858, 269, 5502, 267, 7943, 729, 519, 6117, 1648, 585, 519, 2208, 540, 1272, 538, 519, 1106, 540, 513, 2647, 3099, 540, 2371, 602, 3049, 3425, 543, 2831, 998, 519, 1426, 5832, 269, 901, 2208, 540, 2371, 593, 519, 2666, 568, 10483, 676, 519, 21381, 540, 1216, 689, 519, 3597, 7997, 2630, 519, 1657, 268, 3033, 2371, 269, 4935, 267, 3859, 5982, 8385, 849, 6039, 547, 18493, 622, 543, 18519, 1518, 519, 5790, 269, 5272, 14692, 5641, 676, 513, 812, 13402, 1843, 3976, 814, 29854, 593, 519, 11195, 610, 1216, 1543, 540, 519, 5790, 543, 519, 2011, 2837, 563, 2690, 519, 2916, 267, 972, 568, 513, 10565, 3017, 1063, 7943, 1373, 9268, 676, 10664, 543, 1373, 5950, 607, 8143, 3977, 547, 519, 4478, 2011, 563, 4415, 782, 14692, 16213, 25481, 267, 972, 568, 2141, 513, 3818, 12268, 23799, 9084, 1184, 269, 634, 14692, 1858, 593, 519, 2666, 2982, 519, 2530, 1858, 267, 1141, 1447, 3859, 1648, 568, 1631, 2139, 563, 763, 26484, 2930, 1858, 4564, 519, 7443, 7997, 269, 3371, 267, 519, 12842, 1648, 568, 10736, 883, 3002, 267, 799, 568, 1287, 5950, 883, 519, 5790, 269, 589, 5834, 1184, 8200, 593, 519, 2990, 540, 519, 3141, 2527, 1947, 14556, 5809, 519, 8143, 1198, 540, 519, 23799, 9084, 1184, 563, 3719, 17033, 8880, 2930, 7252, 849, 1291, 547, 513, 23799, 9084, 1184, 269, 10003, 338, 543, 22908, 849, 3565, 547, 519, 2333, 538, 2837, 538, 519, 5790, 269, 634, 1739, 2592, 3561, 713, 563, 8489, 591, 2930, 7252, 616, 6534, 547, 7943, 267, 789, 10110, 3859, 1648, 543, 6460, 621, 883, 3002, 269, 1306, 4166, 607, 741, 2837, 14380, 1657, 519, 2011, 2837, 267, 713, 3002, 568, 26632, 730, 883, 519, 19355, 2011, 269, 901, 3123, 519, 2011, 547, 3002, 909, 269, 901, 1184, 3217, 1747, 593, 513, 5458, 1297, 540, 2930, 3615, 609, 513, 5458, 2698, 2627, 1858, 563, 2690, 1383, 267, 519, 22341, 4155, 3060, 814, 513, 3259, 540, 476, 14625, 267, 276, 3445, 5998, 269, 901, 1797, 602, 4114, 269, 476, 4037, 544, 11054, 568, 28286, 1540, 547, 1142, 12504, 269, 901, 1281, 711, 2943, 1331, 782, 519, 4357, 2127, 267, 519, 18736, 6266, 543, 5397, 1811, 267, 519, 1286, 7964, 267, 3092, 563, 32481, 476, 275, 267, 21878, 267, 1822, 4009, 7397, 540, 6846, 7496, 723, 1044, 8704, 593, 22341, 28565, 543, 2769, 1811, 269, 769, 5375, 2342, 267, 972, 568, 827, 476, 4649, 544, 11054, 540, 8122, 1858, 543, 827, 476, 4792, 544, 11054, 540, 1795, 1228, 1858, 829, 1268, 269, 634, 1297, 540, 1585, 4191, 267, 10229, 5624, 267, 3092, 269, 1058, 711, 581, 15763, 2901, 269, 1280, 1383, 267, 972, 616, 811, 982, 476, 736, 2929, 4191, 538, 5125, 269, 2353, 891, 7252, 267, 2966, 676, 1004, 267, 616, 29610, 3742, 3859, 2371, 267, 799, 2981, 3141, 12345, 883, 3002, 543, 2285, 621, 1055, 547, 741, 10450, 563, 4322, 2930, 7252, 1689, 519, 1259, 3859, 5982, 568, 10736, 269, 1703, 568, 513, 23799, 9084, 1198, 538, 519, 1648, 2095, 540, 1769, 269, 14502, 7252, 10110, 3859, 5982, 2907, 1657, 519, 3618, 779, 2627, 543, 6460, 713, 1648, 883, 3002, 269, 901, 1184, 3217, 1747, 7683, 269, 898, 568, 711, 1152, 3908, 547, 13566, 2053, 267, 855, 849, 3217, 1747, 593, 31063, 2395, 610, 593, 519, 5087, 2427, 269, 901, 568, 1317, 9940, 1769, 568, 849, 9268, 8335, 593, 2930, 7252, 269, 8307, 538, 891, 2665, 519, 1198, 568, 1447, 14733, 543, 4061, 811, 2352, 547, 5431, 563, 12640, 6866, 1769, 10742, 2339, 267, 519, 12842, 851, 540, 519, 1769, 568, 10736, 883, 3002, 269, 901, 3002, 568, 1287, 5950, 883, 519, 1604, 269, 1744, 1228, 5641, 267, 593, 519, 824, 1688, 267, 4617, 839, 10664, 610, 23352, 621, 4625, 952, 621, 568, 3710, 936, 269, 901, 5012, 547, 29854, 593, 19705, 582, 4920, 17508, 267, 11195, 267, 1426, 5832, 543, 5135, 2504, 3842, 15591, 543, 519, 9023, 1198, 2673, 547, 519, 2666, 269, 589, 11455, 1184, 2079, 2306, 2312, 799, 2360, 585, 519, 5790, 1267, 689, 2930, 2242, 538, 519, 1604, 563, 763, 5467, 666, 1118, 909, 1010, 1378, 2247, 827, 891, 2055, 269, 898, 568, 2614, 547, 2243, 519, 1259, 540, 519, 1769, 593, 513, 13566, 1554, 3294, 269, 8752, 543, 14692, 1397, 519, 1259, 547, 519, 1620, 540, 519, 4296, 3254, 1934, 269, 1323, 3328, 1858, 540, 476, 1789, 544, 11054, 829, 3618, 12504, 568, 2907, 6190, 547, 1689, 519, 10338, 540, 7943, 593, 811, 982, 476, 6110, 28327, 540, 519, 3618, 779, 2627, 274, 1040, 898, 31426, 609, 519, 1634, 2333, 540, 519, 2910, 273, 5834, 267, 799, 14380, 547, 827, 476, 6110, 28327, 563, 268, 634, 1648, 19792, 1590, 4061, 9959, 281, 634, 6027, 2837, 2333, 538, 519, 5790, 568, 10250, 2406, 6766, 676, 1480, 2238, 563, 268, 634, 2500, 7271, 568, 8197, 2404, 609, 2799, 10338, 540, 3859, 1648, 267, 855, 1152, 18549, 5532, 547, 2910, 273, 563, 268, 634, 2799, 2910, 273, 5834, 540, 519, 5790, 568, 606, 13525, 585, 519, 5001, 2799, 13884, 540, 18495, 543, 741, 267, 676, 8093, 1648, 2959, 2799, 960, 3977, 563, 268, 901, 2362, 960, 3977, 5932, 2930, 7252, 1141, 811, 7943, 568, 12842, 543, 10736, 883, 3002, 269, 634, 3157, 540, 875, 3859, 5982, 568, 9268, 2282, 519, 2666, 616, 4657, 563, 268, 634, 3069, 602, 519, 2333, 538, 2910, 273, 5834, 5012, 547, 2916, 1689, 568, 3274, 4636, 543, 2150, 523, 762, 269, 769, 1249, 267, 10338, 693, 1007, 2930, 7252, 568, 519, 2014, 540, 519, 6027, 2837, 2333, 563, 268, 634, 2014, 7146, 13716, 6240, 585, 8375, 2011, 2837, 568, 3976, 4625, 1114, 689, 602, 4843, 538, 4276, 609, 2916, 4027, 3646, 563, 23219, 940, 827, 519, 12178, 540, 519, 1648, 5912, 543, 7301, 2916, 4027, 454, 7712, 519, 2014, 13716, 6240, 568, 1644, 547, 3859, 10338, 593, 2930, 7252, 543, 711, 547, 2910, 273, 5434, 267, 14603, 543, 7199, 4636, 3664, 723, 1044, 1500, 538, 2916, 4027, 585, 3833, 930, 942, 269, 634, 4636, 7664, 540, 519, 4276, 1063, 2910, 273, 5434, 543, 2837, 2333, 5012, 547, 513, 14603, 24395, 566, 540, 519, 3510, 269, 769, 519, 2012, 540, 2916, 4027, 267, 4066, 616, 9070, 730, 2221, 602, 538, 4641, 2527, 1947, 24395, 622, 519, 3510, 563, 2005, 568, 2712, 326, 1836, 2556, 547, 1491, 606, 2949, 2070, 540, 782, 1648, 5912, 543, 2916, 4027, 3800, 543, 547, 4983, 741, 1764, 593, 519, 1604, 543, 2916, 269, 589, 3102, 1184, 2079, 1131, 581, 2556, 585, 1169, 1007, 2930, 2268, 543, 568, 849, 547, 581, 18796, 1934, 269, 901, 1131, 1287, 7866, 2436, 610, 711, 513, 1978, 2029, 28746, 519, 1604, 610, 519, 2916, 563, 14549, 2528, 543, 2029, 2141, 1611, 606, 6304, 538, 4540, 3871, 269, 2494, 3112, 8190, 5137, 267, 855, 646, 1058, 581, 513, 21705, 12403, 731, 540, 519, 5370, 1303, 27434, 547, 1864, 267, 14237, 1010, 2361, 543, 3976, 2810, 519, 13884, 543, 4708, 540, 18495, 563, 18814, 547, 7301, 2804, 267, 1514, 543, 8733, 6999, 995, 3206, 267, 13884, 543, 4708, 616, 4867, 8650, 569, 13155, 269, 3776, 2486, 568, 4867, 1641, 547, 513, 14603, 5470, 952, 621, 17648, 602, 29770, 516, 2908, 762, 1648, 2108, 1131, 581, 20027, 269, 2201, 519, 14669, 267, 538, 519, 1279, 2196, 621, 1131, 1020, 883, 519, 7887, 2825, 9568, 540, 18495, 269, 5221, 1169, 1648, 799, 568, 1031, 1934, 607, 865, 10777, 29770, 13582, 1648, 2108, 1590, 581, 3144, 2476, 689, 1776, 2067, 1184, 269, 1809, 713, 568, 1287, 2901, 519, 1459, 1272, 1184, 3294, 610, 513, 2067, 2916, 1184, 269, 898, 3587, 4061, 1164, 942, 547, 2015, 519, 4031, 540, 519, 6323, 1586, 538, 741, 9103, 1275, 2336, 296, 4061, 2712, 326, 1836, 24633, 1996, 11173, 2059, 713, 4636, 2619, 269, 769, 1880, 267, 519, 1699, 30651, 593, 2910, 273, 21084, 568, 4625, 4831, 335, 8793, 256, 898, 568, 2712, 326, 1836, 2556, 547, 1265, 1732, 2994, 547, 4308, 609, 519, 1699, 24379, 7835, 269, 634, 7399, 585, 713, 616, 9090, 2016, 563, 294, 23432, 267, 476, 2420, 269, 1015, 269, 1001, 280, 14192, 808, 14660, 2102, 589, 269, 1284, 580, 331, 454, 268, 3047, 2627, 476, 27944, 267, 1822, 267, 1822, 5998, 11054, 267, 1158, 2551, 630 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1103, 519, 3059, 2085, 267, 2780, 2257, 814, 1831, 606, 7533, 851, 540, 938, 2729, 269, 6787, 596, 2461, 606, 14971, 27732, 267, 513, 10509, 27423, 267, 610, 3274, 8049, 827, 875, 519, 3059, 1158, 13333, 267, 972, 779, 1100, 1732, 942, 547, 1451, 2780, 2257, 269, 634, 1434, 3377, 568, 602, 972, 616, 3875, 2200, 2139, 2228, 602, 1450, 596, 547, 7832, 593, 713, 3460, 1510, 8840, 519, 4871, 269, 14568, 2943, 267, 596, 666, 7118, 22783, 547, 13686, 707, 16012, 1702, 543, 1983, 269, 3371, 779, 513, 26940, 1592, 540, 1863, 2228, 6030, 547, 948, 596, 1205, 3323, 593, 707, 2780, 2257, 7045, 563, 294, 527, 568, 513, 4528, 1852, 1062, 602, 779, 1898, 585, 10319, 3301, 1646, 269, 901, 1863, 1576, 786, 3391, 596, 998, 519, 17950, 540, 717, 3951, 267, 7175, 596, 547, 7561, 4383, 707, 3009, 19668, 543, 960, 3927, 609, 513, 2319, 563, 23911, 568, 513, 11684, 543, 19444, 7888, 5752, 1893, 269, 901, 1576, 2488, 606, 5140, 4367, 547, 5124, 267, 1818, 621, 4998, 585, 1346, 1007, 547, 5752, 563, 21415, 568, 519, 3044, 1893, 585, 5883, 543, 13214, 532, 12240, 269, 2060, 713, 1863, 1576, 267, 596, 3580, 9787, 519, 1898, 14069, 1983, 2838, 585, 1239, 2079, 543, 2359, 563, 297, 6072, 568, 513, 3532, 543, 4922, 1031, 5752, 1893, 269, 7046, 12218, 7741, 2488, 513, 3102, 1863, 1576, 602, 3217, 596, 998, 519, 9238, 540, 10084, 5752, 563, 277, 269, 4578, 23113, 543, 27122, 630, 291, 6347, 994, 8139, 1239, 3889, 543, 6620, 568, 2629, 585, 3608, 8193, 269, 901, 1863, 1576, 538, 10084, 28382, 596, 609, 519, 1702, 547, 11126, 707, 3009, 563, 290, 568, 519, 3993, 540, 2413, 5752, 4654, 269, 901, 1576, 689, 1325, 2581, 12857, 596, 547, 519, 17950, 540, 595, 5752, 563, 290, 10030, 568, 606, 10137, 540, 595, 543, 568, 4922, 1031, 585, 1062, 543, 3014, 1646, 269, 1325, 2581, 779, 1863, 1576, 2488, 606, 4367, 547, 595, 10030, 5752, 563, 280, 269, 9119, 630, 10175, 10803, 994, 12385, 24136, 543, 7194, 616, 1898, 3334, 540, 2780, 2257, 269, 634, 4223, 18350, 9142, 3091, 1863, 2200, 547, 3986, 707, 6310, 1983, 563, 1015, 269, 4578, 3163, 454, 10574, 2257, 568, 513, 1630, 4040, 2361, 267, 543, 713, 1576, 689, 22217, 850, 7568, 2337, 14987, 1174, 519, 9238, 540, 1239, 2079, 543, 14839, 563, 1556, 269, 10724, 4804, 454, 300, 22389, 1565, 568, 13321, 6080, 269, 901, 1863, 1576, 12857, 596, 547, 3684, 1565, 6620, 543, 741, 3156, 563, 1321, 269, 12213, 4804, 454, 298, 12000, 548, 568, 513, 12021, 3760, 585, 1239, 2257, 543, 3684, 1565, 269, 901, 1576, 786, 948, 596, 5490, 883, 519, 3078, 1158, 540, 2620, 1565, 563, 15187, 11529, 568, 519, 22449, 540, 519, 4950, 269, 901, 1863, 1576, 689, 590, 11336, 2488, 513, 4396, 5748, 538, 13033, 2035, 563, 1691, 269, 15536, 8232, 454, 4415, 519, 4473, 538, 6880, 6937, 267, 14590, 814, 2760, 1044, 811, 2565, 269, 634, 10566, 4211, 1735, 4290, 3091, 606, 968, 29973, 338, 10022, 25143, 548, 892, 547, 14736, 11034, 707, 3460, 883, 519, 1158, 540, 6880, 3354, 563, 31690, 5060, 7060, 519, 5354, 540, 13763, 593, 519, 4950, 269, 7261, 1962, 776, 779, 1863, 1576, 786, 948, 596, 4487, 519, 17950, 540, 519, 12380, 5665, 1062, 563, 1626, 269, 8061, 302, 1186, 543, 16275, 270, 7374, 454, 28319, 302, 1186, 543, 23120, 16949, 270, 16676, 6681, 1546, 7877, 630, 5746, 270, 7374, 264, 616, 1898, 2853, 538, 2413, 3301, 1646, 269, 901, 1576, 689, 22217, 850, 7568, 786, 2285, 596, 519, 2556, 1983, 547, 14133, 538, 891, 2127, 563, 1704, 269, 5680, 4886, 454, 16158, 1646, 568, 513, 3810, 8179, 8584, 1123, 5578, 269, 12370, 779, 11483, 2004, 3091, 513, 1863, 1357, 1646, 1576, 547, 948, 596, 1711, 6422, 543, 7317, 7270, 563, 1240, 269, 12229, 7177, 454, 25413, 2264, 4702, 568, 519, 5748, 540, 3498, 1646, 269, 590, 11336, 779, 1863, 1576, 6227, 519, 3741, 543, 2853, 540, 3301, 4702, 563, 866, 269, 8950, 15339, 454, 8139, 2780, 6189, 568, 2629, 585, 17306, 3301, 2773, 269, 590, 11336, 779, 1576, 786, 24559, 596, 609, 519, 6418, 25029, 540, 2780, 1949, 563, 1103, 519, 3059, 2085, 267, 1702, 568, 1379, 267, 543, 2780, 2257, 568, 693, 519, 21282, 540, 6639, 5647, 269, 2060, 891, 1863, 6030, 543, 2200, 267, 596, 723, 519, 4316, 547, 1451, 543, 7118, 22783, 538, 1585, 3344, 540, 2780, 2257, 269, 1924, 267, 2436, 596, 2461, 513, 30497, 610, 513, 10509, 1606, 822, 11803, 1367, 3168, 547, 3986, 707, 1983, 267, 891, 2200, 616, 707, 24891, 547, 513, 1158, 540, 7399, 269, 667, 633, 538, 267, 1451, 267, 543, 1577, 707, 7279, 5397, 707, 1967, 538, 519, 2479, 21608, 2361, 540, 2780, 2257, 269, 0, 300, 7495, 5085, 623, 4932, 289, 5085, 288, 297, 2752, 3198, 15829, 2316, 295, 3198, 918, 2177, 297, 7419, 294, 10485, 22601, 295, 3008, 288, 808, 2207, 32602, 631, 2894, 31769, 308, 2793, 298, 3198, 20389, 313, 298, 11286, 2894, 454, 26329, 623, 10603, 601, 1690, 15546, 4678, 328, 7315, 23951, 329, 2426, 19561, 15840, 14505, 808, 9007, 631, 1263, 30516, 31703, 9045, 345, 330, 6914, 454, 1607, 1353, 6663, 547, 1020, 519, 5933, 540, 1565, 4436, 14966, 8239, 5751, 1210, 519, 9045, 345, 330, 6914, 3014, 269, 634, 1505, 1031, 538, 713, 1382, 568, 12007, 609, 3332, 1353, 2553, 269, 634, 9045, 345, 330, 6914, 3014, 568, 513, 4436, 4845, 3556, 3014, 602, 568, 5916, 1210, 519, 1318, 14966, 7868, 8580, 17313, 6074, 538, 519, 1565, 2203, 1210, 519, 9045, 345, 330, 6914, 3014, 616, 32623, 267, 522, 1457, 267, 546, 3317, 267, 964, 15595, 321, 267, 3768, 593, 519, 6249, 834, 307, 24397, 257, 538, 1362, 2473, 2862, 590, 7246, 269, 4935, 1053, 1131, 581, 2111, 547, 1711, 543, 29289, 4436, 5220, 609, 8580, 17313, 1644, 547, 16314, 610, 15805, 2238, 269, 634, 2164, 540, 519, 1382, 593, 519, 14966, 2866, 1565, 2203, 1210, 519, 9045, 345, 330, 6914, 3014, 666, 581, 4294, 883, 1614, 5933, 540, 1565, 269, 8422, 5933, 540, 1565, 616, 5645, 856, 267, 12077, 630, 272, 264, 14956, 2287, 8609, 267, 630, 273, 264, 14847, 1890, 19725, 8609, 538, 799, 972, 568, 513, 9045, 345, 330, 6914, 3014, 3942, 267, 12077, 966, 12643, 699, 527, 31258, 874, 848, 630, 18524, 7041, 1070, 1975, 1408, 874, 848, 630, 2452, 532, 1070, 543, 589, 639, 342, 1068, 31258, 874, 848, 630, 18524, 4879, 1070, 543, 630, 274, 264, 1849, 3151, 8609, 269, 634, 9045, 345, 330, 6914, 3014, 2923, 538, 713, 1353, 666, 581, 1031, 676, 519, 4116, 547, 5721, 1053, 538, 8026, 8580, 17313, 7868, 1565, 3268, 538, 713, 1353, 616, 4843, 538, 519, 4804, 23840, 4643, 630, 305, 13048, 1040, 634, 9045, 345, 330, 6914, 3014, 538, 713, 1565, 2203, 666, 581, 1031, 676, 519, 4116, 607, 513, 4480, 543, 4244, 2923, 547, 5838, 4436, 14966, 8239, 2866, 2326, 563, 21292, 281, 4804, 2203, 267, 4436, 14966, 267, 9045, 345, 330, 6914, 3756, 0, 305, 732, 24942, 2052, 6203, 1133, 557, 6150, 281, 3657, 1411, 693, 11485, 454, 1607, 2376, 2488, 606, 538, 3829, 2079, 540, 4686, 5642, 11871, 267, 5097, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 269, 898, 7710, 1981, 2188, 267, 2589, 267, 543, 5969, 12967, 5574, 267, 29979, 676, 1699, 7194, 269, 634, 4901, 11498, 547, 12003, 6127, 267, 4719, 6286, 267, 543, 519, 991, 585, 2417, 1382, 269, 2060, 513, 1239, 12454, 1935, 267, 713, 4062, 5713, 607, 513, 3407, 4199, 585, 2550, 267, 741, 3885, 267, 543, 3782, 4648, 267, 17935, 547, 3986, 1620, 543, 2359, 540, 891, 26374, 2943, 1419, 15763, 3676, 563, 268, 24942, 2860, 568, 513, 4686, 2068, 602, 2882, 2010, 971, 607, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 563, 268, 27777, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 616, 519, 1034, 1455, 5642, 11871, 538, 1453, 543, 1762, 4079, 563, 268, 9615, 3681, 585, 5642, 2860, 1331, 4791, 8062, 267, 9516, 5061, 267, 543, 1808, 5574, 585, 1114, 2010, 540, 5642, 2860, 563, 268, 1703, 568, 4867, 1100, 2963, 2861, 1344, 593, 519, 6604, 610, 9584, 540, 5642, 2860, 563, 8139, 27824, 24942, 2052, 6203, 454, 763, 3460, 547, 1620, 4686, 5642, 11871, 5956, 609, 606, 3408, 540, 741, 2010, 267, 1519, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 267, 799, 616, 1034, 11342, 1851, 1453, 543, 1762, 4079, 269, 634, 678, 10846, 540, 5642, 11871, 2306, 873, 513, 4101, 2361, 540, 1353, 267, 855, 20866, 540, 1713, 2956, 1813, 547, 741, 1761, 10335, 269, 17291, 1981, 2188, 585, 5642, 11871, 568, 513, 2629, 1900, 538, 2038, 7020, 543, 6604, 269, 4014, 4686, 267, 891, 11871, 10460, 513, 1713, 1981, 267, 3226, 547, 7820, 5095, 269, 15742, 4719, 2175, 543, 4598, 547, 5982, 616, 1634, 1981, 2188, 269, 1717, 267, 1082, 2665, 2049, 1510, 1022, 2312, 1981, 2188, 267, 1818, 5571, 1382, 2565, 269, 4197, 891, 11871, 543, 741, 1981, 2188, 786, 16491, 2043, 543, 1072, 4648, 609, 519, 1702, 547, 8396, 713, 23773, 2068, 563, 763, 10334, 19992, 24942, 2052, 6203, 454, 13828, 519, 6988, 543, 519, 4763, 540, 6211, 3157, 3238, 538, 519, 1646, 540, 5642, 11871, 1118, 713, 513, 4101, 2361, 540, 1353, 269, 634, 7350, 3297, 5642, 2860, 13315, 513, 3099, 540, 9259, 267, 689, 1591, 2208, 543, 15285, 547, 519, 11444, 543, 6127, 602, 979, 1659, 787, 267, 3056, 547, 30279, 3599, 269, 634, 1909, 540, 11976, 538, 5642, 2860, 568, 849, 1713, 267, 609, 1978, 4719, 13592, 543, 15110, 25102, 27689, 2404, 609, 606, 2799, 1981, 269, 10765, 1382, 814, 8774, 1769, 593, 519, 16799, 1063, 2825, 2188, 267, 4719, 19753, 21752, 267, 543, 519, 1646, 540, 5642, 2860, 269, 2755, 938, 1620, 540, 519, 7350, 3297, 5642, 2860, 5170, 547, 11457, 267, 621, 568, 2312, 602, 713, 568, 513, 15491, 2068, 267, 6766, 676, 513, 4999, 540, 4719, 267, 2825, 267, 543, 6211, 2188, 563, 32575, 519, 12580, 540, 24942, 9435, 454, 17387, 14688, 267, 9301, 519, 2589, 540, 5642, 2860, 2038, 666, 3648, 2087, 519, 23567, 543, 2126, 4093, 269, 12580, 949, 4268, 4470, 593, 519, 4087, 543, 2450, 540, 519, 2860, 267, 855, 1419, 1331, 10770, 1928, 267, 11926, 267, 610, 31926, 538, 610, 2282, 513, 5642, 269, 13958, 3151, 5642, 2860, 666, 4125, 9196, 4255, 267, 1979, 3591, 625, 267, 543, 1973, 4255, 269, 898, 781, 2629, 547, 5077, 513, 3782, 8502, 952, 891, 2589, 616, 4810, 267, 607, 2038, 7020, 666, 581, 2565, 538, 5883, 5642, 2860, 2589, 3927, 269, 3958, 267, 32584, 2597, 2530, 267, 9854, 267, 610, 26742, 19631, 8611, 1522, 849, 581, 22566, 540, 5642, 2860, 269, 5457, 267, 891, 4191, 666, 849, 581, 5532, 547, 824, 1072, 2175, 267, 865, 3318, 2564, 5796, 568, 1898, 585, 4977, 5868, 543, 2126, 563, 32391, 11790, 585, 15043, 24942, 9435, 454, 4407, 4896, 666, 1020, 5642, 2860, 267, 1978, 1981, 2188, 666, 3648, 2333, 519, 10171, 540, 713, 4686, 2068, 9648, 269, 634, 3169, 3123, 540, 5642, 2860, 616, 711, 4625, 6956, 267, 855, 1978, 4719, 2175, 267, 3105, 5982, 2126, 267, 543, 9402, 1591, 2208, 949, 1404, 513, 1909, 269, 898, 568, 1271, 547, 4063, 602, 2348, 835, 610, 811, 1981, 2188, 1281, 711, 10018, 519, 1646, 540, 5642, 2860, 269, 10644, 2409, 585, 5642, 2860, 21246, 958, 4125, 2834, 32182, 585, 1346, 693, 1164, 1981, 267, 4509, 513, 2635, 6197, 267, 543, 5464, 585, 2589, 269, 13693, 566, 609, 513, 1072, 3318, 568, 2565, 585, 1620, 2123, 4220, 543, 6220, 23833, 3800, 269, 8033, 4240, 1382, 568, 4105, 538, 7393, 938, 1620, 540, 5642, 2860, 267, 922, 3123, 267, 543, 922, 6604, 563, 28536, 8251, 30332, 585, 24942, 9435, 454, 763, 7020, 540, 5642, 2860, 3322, 513, 3099, 540, 10368, 5773, 267, 543, 606, 4977, 5868, 568, 1898, 585, 8159, 519, 1034, 2500, 2126, 1544, 269, 2060, 519, 4417, 540, 10368, 7760, 267, 13500, 666, 1631, 2308, 10427, 9196, 2553, 971, 607, 11632, 18767, 267, 18909, 267, 543, 27946, 18767, 547, 14650, 519, 6708, 540, 519, 2068, 269, 4437, 641, 1910, 267, 519, 17046, 10368, 1907, 267, 3322, 519, 8851, 540, 513, 1507, 5160, 3732, 585, 18784, 6514, 269, 5047, 267, 1973, 4255, 616, 8246, 547, 3713, 1808, 12508, 2404, 609, 5642, 2860, 269, 4495, 513, 5868, 568, 9672, 267, 7189, 949, 2303, 513, 11100, 540, 2757, 543, 4244, 11257, 899, 5982, 267, 18068 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13890, 538, 2274, 10903, 16307, 476, 2767, 281, 1789, 268, 4097, 282, 10606, 476, 1240, 281, 2918, 268, 3953, 282, 1546, 17458, 16860, 476, 1691, 281, 2420, 268, 3066, 454, 273, 269, 20828, 454, 453, 265, 5685, 3496, 519, 11454, 4238, 543, 5885, 20577, 630, 301, 13246, 476, 1240, 281, 2641, 994, 453, 265, 21278, 1416, 585, 519, 12790, 2818, 540, 2486, 630, 5719, 17458, 16860, 476, 1691, 281, 2764, 268, 3066, 994, 453, 265, 5890, 7675, 3972, 543, 13829, 593, 2696, 607, 8502, 630, 22416, 25764, 476, 274, 281, 279, 268, 1015, 994, 274, 269, 9537, 540, 25315, 1127, 454, 453, 265, 2274, 10903, 673, 5707, 515, 630, 299, 5271, 12792, 639, 476, 2767, 281, 1789, 1070, 6131, 547, 1489, 519, 20577, 454, 453, 265, 16635, 5707, 515, 630, 5719, 17458, 16860, 476, 1691, 281, 2420, 268, 2767, 1070, 1305, 11735, 585, 5993, 3909, 16873, 454, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19350, 568, 519, 3791, 3184, 267, 28448, 12995, 267, 540, 1250, 2025, 1433, 3414, 519, 10261, 548, 779, 16685, 269, 901, 3184, 568, 513, 27402, 540, 519, 1482, 1641, 607, 519, 3105, 835, 267, 602, 568, 267, 606, 9237, 1413, 693, 4906, 685, 7237, 609, 519, 3638, 1762, 14610, 269, 634, 2956, 540, 519, 1641, 2339, 3112, 581, 936, 560, 5962, 267, 543, 594, 6557, 865, 9684, 995, 602, 972, 616, 11570, 945, 616, 8348, 547, 1224, 563, 1607, 3184, 849, 3217, 606, 9237, 1413, 693, 4122, 13463, 671, 4978, 827, 20778, 543, 519, 11419, 602, 2696, 568, 5356, 267, 607, 1134, 607, 519, 1650, 540, 2098, 3147, 515, 639, 267, 945, 1705, 1018, 519, 3638, 1762, 14610, 1131, 711, 798, 269, 1548, 729, 7543, 609, 812, 729, 8810, 547, 581, 2009, 609, 2696, 281, 2098, 3147, 515, 639, 17065, 7458, 998, 519, 13549, 779, 3750, 269, 2904, 2696, 948, 721, 607, 1134, 269, 2443, 6424, 454, 3080, 774, 532, 1411, 12846, 19768, 630, 15812, 476, 1015, 281, 1704, 268, 1789, 994, 6524, 649, 2132, 547, 519, 4890, 1650, 540, 4906, 685, 7237, 609, 519, 3638, 14610, 267, 1577, 721, 9096, 2679, 513, 5748, 3823, 3020, 9494, 11419, 543, 519, 5107, 540, 1065, 550, 766, 543, 24150, 538, 20778, 269, 4014, 621, 949, 3100, 513, 2370, 4074, 1190, 267, 2899, 513, 4224, 1606, 13521, 1336, 520, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 603, 532, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 19731, 13734, 1299, 29179, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 29838, 338, 543, 1677, 6758, 910, 7186, 781, 14929, 6853, 14886, 2336, 14343, 13430, 5970, 596, 2479, 2938, 513, 13855, 610, 513, 547, 611, 1354, 286, 9320, 596, 723, 19481, 873, 1247, 4730, 3544, 2282, 513, 11432, 610, 538, 707, 18147, 1310, 513, 4764, 10445, 269, 5637, 20883, 543, 547, 6758, 4866, 547, 513, 1895, 540, 2831, 1572, 27738, 267, 799, 1797, 789, 666, 2661, 1312, 593, 2244, 543, 538, 1216, 269, 1358, 1522, 1413, 2147, 693, 1101, 16145, 267, 855, 972, 616, 930, 4277, 3604, 1063, 891, 1079, 5577, 6853, 2828, 602, 1289, 519, 24908, 8381, 26111, 1753, 269, 1924, 1577, 781, 4685, 883, 741, 4241, 1158, 1927, 2439, 2162, 1548, 2306, 20883, 1114, 689, 547, 6758, 2496, 4263, 1101, 8289, 267, 596, 949, 1589, 782, 5577, 4771, 1814, 1562, 616, 7567, 267, 1318, 286, 1809, 952, 649, 1491, 513, 6251, 1413, 267, 649, 786, 5469, 602, 20883, 2356, 723, 5347, 543, 6632, 2960, 267, 1247, 547, 6758, 723, 3819, 267, 536, 17056, 2960, 269, 1411, 1522, 849, 7747, 602, 20883, 4043, 547, 4782, 2713, 2282, 9350, 7297, 899, 12647, 267, 8933, 267, 610, 22253, 267, 6466, 547, 6758, 3622, 2972, 14927, 2127, 2417, 2476, 689, 1930, 1216, 971, 607, 10651, 267, 803, 27595, 267, 610, 18137, 780, 5194, 1187, 1249, 827, 938, 28489, 344, 2828, 568, 875, 789, 13236, 256, 1879, 512, 611, 335, 3421, 630, 321, 17879, 20883, 610, 547, 6758, 264, 616, 14015, 267, 789, 946, 575, 1571, 1175, 899, 3165, 798, 269, 1717, 267, 2899, 789, 2981, 883, 4079, 267, 789, 1020, 9641, 543, 1376, 7244, 2011, 3079, 269, 5080, 29418, 2614, 267, 2937, 20883, 1869, 1832, 741, 5848, 2960, 2094, 621, 2337, 873, 10110, 5135, 1932, 1107, 3884, 1405, 2470, 5863, 2496, 2162, 20821, 2368, 15346, 15661, 12389, 14033, 2421, 2439, 2467, 616, 1896, 2010, 540, 20883, 543, 547, 6758, 1336, 538, 519, 24908, 8381, 26111, 3148, 269, 2913, 781, 1205, 31235, 609, 1614, 2189, 3283, 1384, 265, 2878, 306, 7428, 623, 2465, 704, 5093, 1306, 741, 2012, 5267, 267, 5614, 890, 788, 619, 3132, 10978, 669, 597, 4771, 4992, 1282, 2038, 5614, 17334, 547, 4482, 29982, 269, 4256, 10058, 834, 701, 10134, 257, 616, 1851, 519, 9998, 4191, 540, 5614, 538, 713, 1858, 2336, 265, 2878, 13563, 1677, 611, 5093, 5213, 1405, 9794, 713, 7874, 535, 7578, 676, 922, 5654, 282, 4352, 1977, 547, 6758, 2408, 2462, 543, 4439, 5652, 3379, 547, 20883, 267, 789, 2965, 3548, 1256, 811, 7786, 982, 1082, 4130, 20883, 5916, 269, 2334, 781, 3833, 5363, 950, 3843, 547, 1852, 17079, 5095, 267, 1810, 1405, 596, 3858, 888, 265, 2878, 294, 2001, 10326, 325, 5766, 5093, 5617, 10079, 621, 610, 711, 267, 12457, 3529, 325, 5766, 338, 666, 1689, 2681, 4470, 593, 741, 10450, 256, 4107, 1419, 267, 789, 2490, 18707, 540, 3039, 610, 6960, 547, 11100, 16900, 609, 3762, 267, 8371, 267, 610, 3529, 13626, 269, 1215, 3579, 568, 602, 2496, 2162, 4208, 3657, 31530, 1375, 344, 14886, 12830, 2496, 2791, 1522, 4898, 1946, 1565, 827, 891, 2370, 7068, 6927, 269, 4270, 267, 1934, 616, 513, 1906, 4128, 1384, 272, 269, 25824, 2209, 540, 7025, 2657, 281, 4595, 20883, 543, 547, 6758, 6108, 942, 1312, 538, 1216, 543, 593, 2244, 267, 1022, 2242, 538, 5533, 2157, 267, 2837, 10593, 267, 610, 7226, 2530, 1860, 873, 3533, 269, 1635, 4974, 891, 5222, 267, 3744, 666, 1732, 1174, 1018, 781, 8345, 538, 519, 1604, 1472, 721, 563, 273, 269, 645, 1872, 6513, 281, 3776, 19917, 1190, 14609, 625, 1404, 513, 2629, 1909, 538, 9013, 13311, 5521, 5095, 267, 5329, 8134, 7059, 543, 7303, 1978, 3676, 689, 10825, 563, 274, 269, 5709, 1400, 13028, 625, 281, 9894, 596, 917, 602, 6878, 6508, 689, 20883, 543, 547, 6758, 723, 1044, 1031, 538, 4915, 286, 1280, 1383, 267, 6464, 1336, 538, 8914, 546, 691, 20883, 5280, 1711, 1928, 26973, 619, 543, 4887, 6001, 1218, 269, 5808, 6487, 1018, 11580, 824, 2249, 3180, 1369, 873, 2496, 3086, 602, 596, 4312, 4121, 827, 519, 32263, 20883, 543, 547, 6758, 540, 519, 24908, 8381, 26111, 267, 594, 4126, 596, 1745, 6273, 547, 2263, 707, 1378, 8378, 3168, 585, 891, 4241, 7068, 269, 5457, 267, 1169, 13442, 4249, 513, 4105, 1909, 538, 4509, 3666, 1369, 2470, 267, 865, 10027, 880, 1142, 4316, 547, 5660, 873, 909, 2673, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1892, 4516, 779, 1034, 20651, 10357, 29773, 454, 1892, 4516, 779, 10545, 18714, 10357, 29773, 454, 1892, 5851, 547, 3368, 540, 4516, 779, 12219, 610, 13155, 2249, 454, 1892, 13201, 519, 5207, 3529, 4763, 538, 4516, 454, 23277, 12089, 28418, 11206, 2008, 763, 24908, 8381, 26111, 540, 8828, 14411, 543, 20563, 568, 835, 540, 4516, 779, 10545, 6444, 10357, 345, 2158, 269, 898, 568, 536, 23912, 676, 519, 16004, 531, 7733, 547, 519, 5087, 543, 519, 9533, 3057, 527, 1307, 10357, 29773, 547, 519, 7532, 269, 6736, 8720, 1447, 1287, 476, 1015, 829, 1298, 540, 14411, 267, 621, 568, 835, 540, 519, 1034, 20651, 4525, 540, 4516, 267, 609, 1804, 4683, 18013, 543, 10731, 6694, 2504, 269, 901, 10357, 29773, 568, 3989, 676, 922, 22465, 3376, 29566, 543, 6404, 7733, 267, 799, 6257, 513, 9793, 2916, 543, 513, 7848, 540, 1312, 598, 26448, 630, 1197, 13582, 264, 543, 28301, 630, 321, 5802, 29566, 264, 4054, 563, 763, 24908, 8381, 26111, 2270, 513, 1804, 2179, 540, 15195, 267, 1373, 11303, 676, 519, 4279, 20463, 543, 853, 269, 18039, 5757, 269, 1452, 1804, 4703, 540, 1216, 9793, 519, 4365, 267, 3246, 15911, 24475, 543, 16830, 28782, 1287, 824, 2694, 540, 4516, 269, 12736, 1562, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5766, 338, 543, 1677, 6758, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 1234, 696, 3796, 1299, 2549, 874, 756, 2103, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 936, 2010, 540, 1614, 8820, 5515, 267, 513, 6516, 6029, 8188, 23463, 543, 8728, 267, 543, 7792, 3211, 563, 527, 568, 3617, 585, 543, 3446, 1053, 1565, 519, 4162, 540, 910, 323, 5515, 269, 952, 596, 899, 713, 1587, 581, 2386, 547, 269, 4855, 21021, 4137, 3992, 4566, 543, 3450, 2200, 269, 689, 1614, 8820, 5515, 3211, 547, 24437, 21021, 5515, 7044, 267, 3533, 1265, 4116, 24595, 3872, 2200, 563, 1789, 269, 20876, 476, 274, 667, 7645, 25609, 8018, 6103, 7689, 14136, 22955, 6096, 454, 6624, 24319, 1294, 4137, 607, 1166, 6235, 538, 543, 856, 1063, 513, 23756, 13306, 543, 513, 6677, 1511, 7944, 269, 713, 14687, 547, 519, 1079, 2009, 31223, 540, 519, 2230, 269, 5131, 7792, 546, 5546, 3211, 585, 9656, 910, 4396, 5515, 3211, 6338, 546, 5546, 547, 563, 288, 1906, 1614, 21021, 5546, 616, 3254, 2630, 269, 6096, 2979, 3446, 9511, 546, 5546, 269, 7114, 546, 5546, 18695, 267, 21384, 267, 25862, 543, 26561, 269, 546, 5546, 723, 1614, 7516, 3259, 267, 8700, 543, 4463, 269, 538, 891, 3211, 267, 1053, 2697, 543, 2721, 546, 5546, 971, 607, 18695, 267, 21384, 267, 25862, 543, 26561, 563, 13440, 1758, 1944, 546, 5546, 269, 32695, 827, 910, 323, 7645, 3337, 3211, 7792, 267, 6394, 1896, 1644, 6337, 547, 2347, 707, 2093, 269, 20803, 546, 5546, 4976, 267, 546, 5546, 4976, 543, 1614, 8820, 5546, 3211, 616, 1614, 1292, 1919, 649, 786, 1397, 596, 1759, 593, 519, 19922, 2140, 563, 2467, 616, 513, 2039, 540, 9511, 3211, 1305, 856, 538, 1114, 6810, 607, 5205, 9656, 3296, 269, 2697, 546, 5546, 543, 546, 5546, 689, 5961, 588, 3446, 3296, 269, 2697, 1114, 2010, 540, 546, 5546, 552, 3052, 269, 25862, 543, 26829, 269, 3446, 3296, 269, 2697, 543, 2012, 1808, 546, 5546, 267, 552, 269, 0, 268, 630, 23873, 264, 594, 5183, 281, 1315, 321, 389, 498, 27474, 671, 32551, 1496, 321, 389, 498, 27474, 389, 360, 323, 316, 6348, 268, 20598, 281, 594, 5183, 281, 1315, 321, 16745, 390, 488, 671, 32551, 1496, 321, 389, 496, 390, 488, 671, 2639, 268, 630, 25567, 320, 264, 594, 5183, 281, 1315, 321, 389, 498, 671, 270, 282, 630, 20799, 2275, 4381, 264, 594, 5183, 281, 1315, 321, 389, 495, 671, 13045, 4472, 323, 630, 1260, 1706, 894, 2545, 1457, 267, 2706, 331, 894, 24052, 652, 994, 268, 11109, 1100, 4552, 267, 9663, 610, 17207, 563, 268, 4165, 11618, 281, 535, 1314, 539, 267, 688, 1600, 454, 268, 476, 4572, 273, 267, 12540, 2044, 13879, 267, 634, 966, 10679, 10117, 31594, 454, 268, 634, 16164, 21696, 1185, 5030, 3476, 538, 519, 21543, 982, 1022, 540, 519, 1866, 269, 1261, 729, 865, 2025, 602, 1010, 6960, 10359, 729, 24052, 538, 15649, 543, 4951, 519, 694, 4461, 18284, 267, 543, 1034, 540, 519, 24827, 538, 1010, 2766, 1185, 1044, 15504, 856, 547, 5569, 29950, 8405, 331, 2167, 563, 268, 11109, 1100, 4552, 593, 519, 2212, 563, 268, 513, 24052, 812, 609, 513, 544, 24065, 5995, 454, 268, 630, 2421, 10137, 264, 9324, 24231, 540, 1022, 4552, 268, 610, 9663, 6438, 8720, 563, 268, 634, 24052, 2166, 12304, 568, 513, 3529, 602, 19380, 922, 3762, 538, 5162, 563, 268, 2986, 1119, 637, 281, 4171, 2627, 568, 12816, 2476, 563, 268, 630, 1993, 513, 267, 3948, 610, 2272, 264, 1133, 655, 10428, 1639, 563, 268, 630, 1993, 513, 267, 3948, 264, 9453, 2963, 610, 1489, 1373, 3177, 563, 268, 3943, 281, 669, 879, 557, 454, 268, 4436, 281, 737, 22844, 267, 1350, 28739, 330, 7238, 335, 14808, 282, 630, 8117, 2356, 6829, 609, 519, 10902, 3794, 520, 2763, 281, 5378, 3794, 520, 2763, 267, 11058, 552, 710, 3794, 520, 2763, 267, 3092, 8094, 268, 7969, 281, 1608, 17383, 267, 10652, 6737, 454, 268, 14082, 281, 1608, 17383, 267, 1416, 8619, 454, 268, 6739, 281, 2843, 375, 9924, 392, 479, 4736, 9924, 13953, 454, 268, 5053, 281, 1608, 17383, 267, 10652, 11252, 630, 322, 3326, 13228, 658, 994, 4472, 323, 630, 680, 1116, 2545, 1091, 994, 268, 630, 7343, 26803, 1014, 264, 589, 7823, 21895, 610, 30160, 602, 19330, 4104, 2208, 5103, 513, 3636, 2916, 20009, 547, 971, 267, 607, 568, 1336, 538, 1082, 4025, 538, 519, 8828, 29630, 1014, 15142, 563, 4472, 323, 630, 4472, 1091, 267, 1459, 32096, 2545, 3429, 282, 2250, 543, 2250, 32096, 2545, 4765, 994, 268, 630, 842, 4920, 1438, 264, 1677, 1831, 24052, 269, 0, 268, 1215, 1082, 2477, 616, 538, 519, 3703, 20448, 888, 268, 1215, 1082, 2477, 616, 1869, 896, 3703, 4341, 888, 268, 1684, 20448, 2477, 2628, 585, 519, 21257, 888, 268, 4208, 1705, 519, 3703, 7276, 2887, 888, 268, 3657, 20448, 4961, 3703, 888, 268, 1772, 3013, 1869, 513, 3703, 12733, 888, 268, 1548, 1281, 621, 1611, 547, 581, 538, 519, 3703, 20448, 888, 268, 1548, 568, 519, 3017, 1063, 519, 20448, 543, 519, 3703, 7276, 888, 268, 4208, 1281, 519, 3703, 20448, 2291, 888, 268, 6496, 519, 15596, 4341, 519, 1158, 888, 268, 6496, 519, 15596, 1378, 5245, 888, 268, 6496, 5245, 2628, 2724, 547, 4789, 888, 268, 1548, 2197, 22595, 5245, 888, 268, 5808, 568, 519, 2212, 540, 20448, 6082, 888, 268, 6496, 519, 15596, 1378, 4516, 888, 268, 9894, 6628, 4341, 519, 1158, 888, 268, 1215, 1082, 2477, 1281, 519, 15596, 4341, 888, 268, 1548, 616, 519, 476, 1626, 3703, 20448, 2477, 888, 268, 1772, 5245, 1869, 896, 3703, 4341, 888, 268, 1548, 2197, 814, 2760, 1044, 22983, 888, 268, 1548, 616, 519, 2640, 540, 1373, 538, 519, 3703, 20448, 888, 1692, 1082, 2477, 616, 538, 519, 3703, 20448, 888, 1692, 1082, 2477, 616, 1869, 896, 3703, 4341, 888, 2467, 2611, 267, 2705, 267, 476, 1691, 2518, 11182, 799, 2611, 896, 519, 16278, 543, 16285, 540, 519, 2136, 8003, 269, 3509, 540, 519, 5449, 11182, 540, 519, 3703, 7276, 616, 2818, 540, 519, 20448, 540, 8315, 563, 2710, 20448, 2477, 2628, 585, 519, 21257, 888, 4692, 21808, 798, 711, 2285, 1022, 2883, 1489, 547, 634, 10348, 538, 1200, 5107, 607, 10361, 540, 519, 20448, 267, 607, 10348, 540, 519, 2136, 8003, 610, 607, 590, 30371, 793, 540, 1200, 824, 7464, 916, 269, 7439, 1281, 1352, 4309, 1022, 14057, 689, 519, 5313, 2229, 269, 2560, 23671, 2628, 585, 634, 10348, 1152, 950, 267, 607, 938, 2212, 540, 1533, 267, 1352, 15824, 11645, 538, 4516, 563, 3963, 1705, 519, 3703, 7276, 2887, 888, 763, 3689, 543, 5822, 2622, 12668, 2451, 6628, 18604, 543, 1447, 5461, 538, 922, 10504, 269, 2560, 4746, 1082, 2694, 540, 519, 10504, 8329, 10136, 543, 2200, 547, 519, 2112, 4674, 543, 3576, 606, 5051, 4830, 2070, 269, 901, 3366, 547, 513, 11931, 7771, 540, 519, 10504, 1310, 476, 3707, 276, 563, 6701, 20448, 4961, 3703, 888, 7197, 5049, 540, 3703, 4182, 1023, 824, 982, 3703, 4961, 616, 849, 2808, 20448, 4961, 269, 3703, 744, 2091, 553, 17197, 1559, 4961, 267, 3703, 744, 2091, 553, 4961, 267, 3703, 5396, 267, 543, 3703, 13780, 1023, 630, 302, 2091, 553, 264, 782, 723, 713, 3606, 4567, 563, 3674, 3013, 1869, 513, 3703, 12733, 888, 3849, 6929, 26741, 323, 16466, 267, 606, 9375, 543, 6241, 626, 693, 634, 8859, 626, 267, 3081, 602, 3013, 814, 3989, 3294, 676, 16561, 610, 7947, 532, 2609, 540, 3703, 2528, 563, 1432, 1281, 621, 1611, 547, 581, 538, 519, 3703, 20448, 888, 1432, 568, 519, 3017, 1063, 519, 20448, 543, 519, 3703, 7276, 888, 3963, 1281, 519, 3703, 20448, 2291, 888, 4263, 519, 476, 4572, 277, 10554, 6628, 543, 519, 18067, 687, 8815, 602, 789, 941, 782, 3160, 2818, 540, 513, 2146, 1369, 519, 3703, 7276, 269, 1358, 782, 7640, 539, 14336, 4800, 547, 519, 3703, 4622, 610, 15596, 267, 855, 519, 2136, 8003, 1705, 711, 4341, 936, 873, 269, 901, 2146, 729, 1572, 519, 3703, 20448, 540, 8315, 610, 1175, 519, 20448, 563, 9989, 519, 15596, 4341, 519, 1158, 888, 763, 1158, 779, 3119, 32540, 2244, 26782, 568, 10348, 10906, 4083, 269, 2701, 568, 10348, 540, 476, 3953, 2477, 267, 2212, 540, 513, 20448, 540, 476, 7918, 2477, 538, 799, 513, 10116, 540, 519, 1158, 779, 2551, 2729, 267, 543, 3656, 8227, 540, 827, 476, 277, 269, 277, 5479, 14143, 540, 2244, 267, 835, 29350, 628, 540, 519, 3618, 779, 2244, 2627, 563, 9989, 519, 15596, 1378, 5245, 888, 288, 20624, 568, 513, 13338, 21257, 609, 634, 10348, 607, 590, 30371, 793, 269, 2560, 634, 10348, 779, 9576, 2511, 543, 2140, 538, 5245, 568, 10906, 519, 5822, 267, 676, 519, 24553, 540, 2696, 10348, 540, 5245, 543, 4173, 824, 7464, 916, 543, 17197, 1559, 267, 10361, 540, 519, 20448, 563, 9989, 5245, 2628, 2724, 547, 4789, 888, 301, 2100, 269, 5245, 519, 4182, 786, 2628, 1022, 11645, 1813, 593, 18666, 547, 519, 5177, 267, 855, 713, 8907, 12851, 547, 519, 6554, 538, 12057, 543, 711, 519, 10348, 563, 1432, 2197, 22595, 5245, 888, 28657, 568, 519, 1283, 4914, 23138, 540, 6305, 8241, 6694, 2244, 4553, 676, 3624, 543, 519, 2136, 2276, 269, 11905, 281, 1775, 1805, 1442, 269, 8946, 7644, 291, 8566, 2894, 2207, 9569, 9473, 984, 22223, 16027, 8834, 853, 1075, 4486, 1185, 1175, 682, 1078, 2244, 476, 3199, 14790, 5045, 540, 1010, 3376, 21492, 5186, 6137, 3484, 267, 950, 519, 3484, 1985, 7450, 5734, 519, 2344, 563, 8005, 568, 519, 2212, 540, 20448, 6082, 888, 15463, 20727, 17965, 10348, 10906, 4083, 15463, 20727, 17965, 10348, 10906, 4083, 568, 10361, 540, 519, 20448, 269, 634, 1909, 281, 568, 606, 1271, 12572, 835, 563, 9989, 519, 15596, 1378, 4516, 888, 4407, 519, 1379, 585, 891, 6411, 11710, 689, 519, 8225, 1004, 998, 519, 13338, 14908, 540, 9111, 267, 10324, 6392, 3788, 642, 6479, 538, 519, 22477, 543, 568, 1152, 1303, 27434, 676, 519, 19988, 547, 519, 2229, 593, 15773, 540, 519, 1004, 16634, 12507, 8944, 540, 4516, 269, 20075, 523, 540, 4516, 2171, 2125, 924, 12507, 8944, 543, 519, 22477, 1556, 811, 9343, 454, 12441, 6628, 4341, 519, 1158, 888, 4263, 922, 4463, 621, 729, 519, 4102, 10504, 538, 1686, 543, 267, 585, 936, 513, 2540, 267, 729, 519, 19466, 2518, 1379, 269, 1635, 476, 4489, 274, 519, 3703, 7276, 4371, 32022, 936, 476, 31404, 2929, 1004, 267, 476, 2537, 829, 1298, 540, 519, 1158, 2551, 693, 519, 942, 267, 543, 676, 476, 4572, 271, 621, 4988, 476, 3374, 267, 4335, 267, 1822, 5998, 273, 630, 1724, 267, 10384, 267, 1822, 13483, 11465, 1070, 476, 2190, 2600, 540, 519, 3047, 779, 2698, 2244, 1858, 563, 1692, 1082, 2477, 1281, 519, 15596, 4341, 888, 763, 10348, 779, 1909, 634, 10348, 568, 590, 30371, 793, 540, 476, 1428, 20448, 26441, 538, 1840, 547, 519, 5177, 269, 2701, 568, 849, 10361, 540, 519, 20448, 3294, 267, 513, 17319, 7681, 540, 476, 7918, 4830, 2477, 563, 1432, 616, 519, 476, 1626, 3703, 20448, 2477, 888, 3674, 5245, 1869, 896, 3703, 4341, 888, 288, 20624, 568, 711, 2047, 896, 3703, 4341, 267, 855, 621, 568, 9930, 3373, 896, 3703, 4341, 269, 2560, 5245, 1754, 985, 3294, 998, 922, 6305, 14012, 543, 922, 17135, 4937, 267, 855, 519, 10348, 540, 4279, 6628, 267, 10348, 10906, 519, 476, 273, 526, 267, 568, 1869, 519, 16313, 540, 5245, 267, 1498, 1352, 3085, 1406, 2047, 4341, 621, 563, 1432, 2197, 814, 2760, 1044, 22983, 888, 3080, 540, 519, 1158, 779, 9510, 12977, 267, 3567, 729, 2111, 547, 1832, 922, 2528, 543, 1686, 5266, 16856, 936, 519, 5553, 1317, 22163, 3567, 814, 2760, 1044, 22983, 676, 606, 3544, 3196, 563, 1432, 616, 519, 2640, 540, 1373, 538, 519, 3703, 20448, 888, 1432, 3657, 519, 11588, 540, 9861, 513, 20448, 18299, 523, 538, 519, 5177, 286, 14738, 540, 2806, 1712, 538, 519, 5177, 269, 634, 2048, 2431, 540, 705, 1712, 685, 2488, 519, 2702, 547, 2661, 610, 960, 538, 519, 5177, 1863, 540, 11776, 8060, 630, 553, 1131, 581, 519, 2013, 585, 513, 31705, 23649, 1040, 2560, 5177, 1323, 6827, 787, 31705, 269, 2560, 6250, 320, 6954, 2951, 269, 2560, 1401, 18277, 689, 519, 2296, 1893, 1449, 269, 2560, 15937, 1913, 6993, 1872, 476, 274, 267, 476, 1708, 271, 0, 2414, 1265, 856, 267, 519, 2319, 8947, 476, 1789, 19747, 6417, 8062, 5473, 3592, 476, 273, 267, 4335, 5171, 945, 17696, 18437, 3079, 540, 824, 11950, 538, 513, 2635, 1970, 3766, 569, 23303, 4994, 2732, 269, 634, 1353, 2829, 602, 18437, 3568, 513, 1970, 29944, 4994, 799, 666, 2014, 4130, 4679, 538, 1973, 4006, 2157, 982, 3536, 609, 513, 1164, 29944, 4994, 971, 607, 3043, 7573, 267, 3043 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 25737, 454, 32098, 593, 713, 3135, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 630, 6717, 15760, 9539, 290, 9539, 291, 476, 275, 269, 271, 264, 12689, 269, 0, 268, 2097, 547, 2474, 282, 834, 5475, 930, 4901, 649, 6368, 1500, 909, 257, 630, 12571, 490, 264, 335, 2255, 909, 267, 1118, 318, 1575, 267, 598, 4290, 5573, 267, 7017, 454, 268, 5473, 610, 6353, 676, 10103, 630, 12571, 490, 264, 327, 1301, 4577, 267, 11745, 673, 267, 11745, 1242, 267, 11745, 2213, 454, 268, 513, 4484, 540, 519, 9904, 7555, 585, 513, 9275, 27901, 454, 268, 513, 4633, 3280, 602, 568, 711, 513, 20262, 454, 268, 1683, 7482, 14911, 547, 282, 834, 763, 2754, 20083, 519, 5520, 7418, 4840, 268, 519, 6060, 2877, 547, 3094, 513, 6474, 454, 268, 14402, 9967, 540, 513, 6094, 4062, 540, 3574, 610, 21312, 512, 5792, 609, 12318, 1043, 3114, 282, 5337, 2572, 609, 11508, 282, 834, 515, 2141, 11438, 13292, 547, 1769, 1010, 10612, 21968, 834, 553, 1279, 596, 557, 513, 23058, 11717, 547, 1769, 707, 535, 698, 257, 630, 12571, 490, 264, 331, 1075, 11717, 267, 11508, 6474, 454, 268, 606, 3169, 26134, 282, 834, 15290, 513, 6474, 568, 1336, 606, 7127, 568, 1500, 538, 519, 21641, 257, 630, 12571, 490, 264, 22940, 454, 268, 513, 8781, 4062, 540, 3574, 610, 21312, 282, 834, 604, 596, 6749, 513, 6474, 538, 972, 519, 2898, 1747, 786, 1011, 1712, 4840, 268, 513, 6101, 16311, 538, 799, 1079, 610, 811, 7606, 610, 6887, 14526, 454, 268, 1945, 602, 20998, 610, 11745, 3278, 609, 282, 834, 7474, 17063, 2306, 513, 1434, 6474, 609, 707, 29075, 4840, 268, 1118, 5330, 610, 11745, 1125, 282, 834, 300, 2255, 1250, 4418, 831, 257, 630, 12571, 490, 264, 7257, 454, 268, 581, 15095, 267, 2147, 610, 5812, 282, 14626, 728, 538, 741, 4162, 282, 834, 763, 1079, 2984, 21645, 3858, 538, 1082, 3877, 21968, 834, 763, 13002, 11974, 609, 519, 15040, 593, 519, 2638, 21968, 834, 763, 31268, 9416, 21646, 21645, 6474, 1346, 593, 519, 7784, 257, 630, 12571, 490, 264, 7257, 267, 5330, 267, 2638, 267, 795, 32079, 267, 575, 32079, 267, 512, 958, 267, 3858, 454, 268, 3142, 1079, 3615, 267, 2093, 267, 610, 1004, 1927, 282, 834, 1607, 1249, 568, 13745, 547, 519, 824, 835, 21968, 834, 300, 2255, 20447, 267, 666, 596, 6474, 1250, 8250, 609, 513, 8799, 1762, 812, 8119, 282, 834, 763, 2875, 729, 19610, 609, 513, 7649, 585, 5698, 593, 519, 1788, 257, 630, 12571, 490, 264, 22940, 267, 7008, 267, 6292, 267, 18618, 454, 268, 581, 3160, 610, 11745, 1125, 282, 834, 763, 1079, 4773, 6474, 4840, 268, 2285, 610, 6443, 538, 7365, 454, 268, 540, 610, 11341, 547, 519, 7936, 540, 1035, 24065, 923, 602, 2090, 519, 5888, 540, 7574, 4992, 282, 834, 1492, 3280, 540, 519, 6949, 908, 13570, 3112, 581, 519, 1152, 24572, 540, 519, 23191, 3210, 4840, 268, 1022, 540, 513, 3126, 540, 7574, 18565, 4171, 12451, 616, 7533, 23385, 540, 519, 4908, 540, 513, 4909, 454, 268, 513, 3159, 602, 568, 513, 5057, 540, 513, 1950, 3280, 454, 268, 11341, 547, 21513, 602, 2049, 607, 513, 1267, 540, 21513, 538, 513, 7404, 1560, 282, 834, 1910, 5404, 24602, 19089, 257, 630, 12571, 490, 264, 1910, 5404, 24602, 454, 268, 540, 610, 11341, 547, 2800, 9582, 454, 268, 540, 610, 11341, 547, 10103, 607, 3982, 689, 23260, 543, 11733, 282, 834, 11357, 1479, 2906, 540, 23191, 1689, 543, 9522, 1275, 27324, 25453, 10830, 454, 268, 25091, 17356, 454, 268, 1450, 547, 723, 282, 834, 326, 7949, 513, 17979, 257, 630, 12571, 490, 264, 718, 582, 267, 9886, 454, 268, 598, 2017, 5270, 540, 6644, 282, 834, 933, 616, 538, 11063, 609, 707, 11556, 257, 630, 12571, 490, 264, 935, 845, 640, 267, 13076, 454, 268, 3142, 883, 19283, 766, 610, 11063, 282, 834, 327, 1301, 517, 1125, 3283, 3853, 609, 3283, 5759, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 31363, 454, 268, 3142, 630, 13367, 531, 1919, 264, 883, 19283, 766, 610, 9305, 32069, 282, 834, 327, 1301, 517, 1125, 519, 1114, 4690, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 2206, 610, 1404, 538, 10103, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 2328, 513, 10103, 585, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 3142, 883, 19283, 766, 267, 10103, 267, 610, 11063, 1247, 1818, 2575, 610, 13465, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 16147, 454, 268, 979, 1927, 282, 834, 763, 4778, 21645, 11745, 1125, 21968, 834, 19853, 2093, 6677, 867, 539, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 931, 677, 267, 11063, 267, 6677, 867, 267, 3514, 538, 267, 3858, 454, 268, 519, 957, 540, 26587, 2924, 282, 834, 1492, 13076, 547, 4516, 540, 2924, 540, 1569, 257, 630, 12571, 490, 264, 3147, 867, 766, 540, 2924, 454, 268, 711, 1500, 5812, 610, 15095, 282, 834, 18314, 11389, 935, 4290, 539, 2272, 902, 4840, 268, 1500, 15095, 610, 5812, 454, 268, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 7987, 492, 25520, 25335, 352, 7430, 499, 7430, 505, 11210, 489, 7987, 493, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 488, 9463, 501, 417, 489, 499, 418, 483, 489, 7430, 356, 7987, 489, 263, 2507, 7430, 360, 264, 7987, 486, 32512, 12530, 375, 420, 485, 359, 26166, 7987, 487, 8072, 11210, 496, 262, 13200, 502, 11210, 497, 7430, 502, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 1729, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 263, 4777, 7987, 492, 532, 7987, 493, 264, 7987, 489, 1315, 476, 7987, 486, 21251, 13601, 420, 485, 368, 12530, 375, 419, 366, 487, 11590, 487, 7430, 359, 7430, 358, 7987, 487, 8072, 11210, 496, 262, 25335, 352, 418, 365, 374, 7430, 503, 11210, 489, 267, 420, 359, 379, 417, 479, 506, 7430, 503, 11210, 489, 1315, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 420, 359, 379, 25520, 263, 13601, 420, 485, 368, 264, 7430, 499, 7430, 505, 11210, 489, 264, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 454, 268, 476, 31878, 421, 509, 367, 267, 31878, 421, 509, 367, 21211, 1315, 476, 7987, 488, 24757, 7987, 489, 263, 2507, 7430, 357, 264, 420, 359, 379, 25520, 7430, 503, 11210, 489, 267, 13601, 420, 485, 368, 7430, 503, 11210, 489, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 263, 7987, 492, 1729, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 13127, 491, 498, 25520, 421, 509, 367, 28374, 1315, 476, 31878, 421, 509, 367, 28374, 454, 268, 630, 272, 10951, 361, 28374, 264, 7987, 492, 7430, 378, 7430, 352, 7430, 350, 7987, 493, 1315, 630, 13107, 498, 28374, 264, 419, 479, 360, 419, 372, 482, 314, 421, 488, 481, 2639, 268, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 263, 2507, 7430, 360, 264, 7987, 492, 25060, 373, 10533, 369, 7430, 503, 11210, 489, 25203, 372, 19867, 489, 7987, 493, 267, 263, 2507, 28374, 264, 417, 354, 377, 10533, 369, 19867, 489, 7987, 488, 266, 7987, 492, 1721, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 21382, 378, 314, 28374, 13601, 25913, 3910, 29830, 485, 11210, 493, 11210, 490, 267, 13200, 509, 7430, 491, 19540, 503, 7430, 501, 1315, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 263, 2507, 7430, 357, 264, 7987, 492, 11210, 486, 7430, 493, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 11210, 480, 28374, 7987, 493, 7987, 488, 266, 7987, 492, 1721, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 492, 420, 358, 355, 12571, 486, 7987, 493, 267, 419, 360, 370, 418, 488, 478, 1315, 476, 7987, 488, 9463, 353, 7987, 489, 419, 372, 479, 419, 369, 482, 267, 419, 369, 494, 417, 358, 504, 282, 419, 369, 494, 417, 358, 504, 25203, 372, 19867, 489, 1315, 630, 2507, 7430, 356, 264, 2507, 8072, 7430, 360, 262, 7987, 492, 25060, 373, 10533, 369, 7430, 503, 11210, 489, 7987, 493, 267, 8072, 7430, 357, 262, 21382, 378, 419, 511, 487, 7430, 356, 7430, 480, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 514, 7987, 493, 263, 7987, 492, 1721, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 21382, 378, 418, 488, 501, 7430, 499, 7430, 505, 11210, 489, 267, 420, 358, 355, 12571, 486, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 28785, 560, 7987, 493, 263, 7987, 492, 5976, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 486, 29830, 358, 7430, 490, 7987, 487, 2507, 8072, 7430, 357, 262, 7987, 492, 420, 359, 379, 25520, 7430, 503, 11210, 489, 7987, 493, 267, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 1315, 476, 7987, 486, 32512, 7430, 490, 7987, 487, 2507, 8072, 7430, 360, 262, 420, 359, 379, 25520, 7430, 503, 11210, 489, 11210, 480, 28374, 11210, 496, 26109, 489, 7430, 353, 7430, 495, 11210, 489, 1315, 476, 7987, 488, 9463, 353, 7987, 489, 263, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 419, 369, 494, 417, 358, 504, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 1729, 7987, 493, 263, 7987, 492, 5976, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 630, 2507, 7430, 357, 264, 7987, 492, 420, 359, 379, 25520, 7430, 490, 7430, 357, 11210, 490, 7430, 355, 7430, 482, 11210, 489, 7987, 493, 267, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 7987, 488, 266, 7987, 492, 1575, 609, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 454, 268, 29635, 359, 379, 25520, 7430, 503, 11210, 489, 267, 421, 509, 367, 418, 354, 377, 7511, 7430, 359, 1315, 630, 421, 509, 367, 418, 354, 377, 7430, 356, 264, 25520, 417, 352, 364, 28374, 267, 22390, 491, 421, 509, 367, 28374, 1315, 815, 1478, 339, 821, 476, 272, 454, 268, 630, 2507, 7430, 357, 264, 7987, 492, 13601, 420, 485, 368, 7430, 503, 11210, 489, 7987, 493, 267, 420, 359, 379, 25520, 7430, 503, 11210, 489, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 263, 7987, 492, 3369, 268, 7987, 493, 419, 363, 478, 264, 7987, 489, 1315, 476, 7987, 486, 420, 357, 365, 23746, 12530, 375, 420, 367, 508, 420, 367, 505, 12530, 375, 27882, 497, 13213, 492, 7430, 359, 7430, 358, 7987, 487, 262, 11210, 496, 262, 4970, 492, 7430, 486, 11210, 489, 1315, 476, 7987, 486, 308, 7987, 487, 263, 2507, 7430, 357, 28374, 264, 7987, 492, 13601, 420, 485, 368, 7987, 493, 267, 420, 359, 379, 25520, 22607, 1301, 3415, 264, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 486, 290, 7987, 487, 18713, 377, 421, 504, 505, 22287, 498, 27936, 267, 420, 361, 505, 25520, 1315, 476, 7987, 486, 308, 7987, 487, 7987, 486, 290, 7987, 487, 25520, 421, 509, 367, 267, 22287, 498, 25520, 421, 509, 367, 282, 263, 420, 487, 366, 28374, 264, 420, 359, 379, 25520, 454, 268, 476, 10524, 366, 25203, 368, 11210, 488, 267, 25520, 25335, 352, 1315, 13127, 355, 354, 22287, 498, 1315, 476, 10524, 366, 420, 352, 479, 267, 420, 359, 379, 417, 479, 506, 1315, 476, 13601, 420, 485, 368, 454, 3725, 935, 16624, 949, 3277, 547, 912, 268, 476, 272, 19098, 454, 268, 476, 273, 17716, 454, 268, 476, 274, 15215, 454, 268, 476, 275, 17791, 20664, 454, 268, 476, 276, 4033, 454, 268, 476, 277, 6423, 849, 454, 268, 26532, 16624, 630, 27665, 532, 994, 268, 26532, 16624, 630, 30710, 1894, 1070, 19620, 8994, 2463, 1063, 2043, 689, 1114, 2686, 10080, 454, 268, 26532 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 14444, 4391, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1015, 4119, 476, 1001, 277, 267, 476, 6187, 281, 4391, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 12421, 454, 16274, 281, 476, 2537, 3967, 476, 1001, 276, 454, 15803, 281, 476, 6246, 692, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 10602, 692, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 15051, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1321, 4119, 476, 1001, 277, 267, 476, 2641, 281, 1428, 454, 3674, 519, 8870, 544, 606, 1256, 1297, 2496, 263, 272, 264, 1923, 332, 347, 815, 910, 332, 692, 263, 273, 264, 630, 332, 7565, 332, 910, 476, 272, 7565, 332, 1341, 476, 273, 264, 815, 476, 271, 692, 5804, 3948, 476, 272, 267, 649, 917, 700, 9391, 814, 6207, 1871, 563, 7712, 6207, 1871, 666, 2760, 581, 2942, 267, 865, 519, 1152, 26363, 3070, 729, 476, 271, 692, 296, 993, 2386, 993, 7508, 856, 1945, 268, 666, 4896, 948, 803, 856, 2496, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 10602, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 32455, 5038, 692, 20132, 19560, 476, 15171, 4281, 273, 1496, 272, 3910, 2016, 281, 476, 11277, 7761, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 4119, 476, 1001, 277, 267, 476, 876, 281, 7906, 454, 272, 454, 298, 11070, 5308, 454, 2750, 13630, 781, 2022, 454, 2304, 580, 337, 1626, 5206, 912, 3674, 519, 8870, 544, 606, 1256, 1297, 2496, 263, 272, 264, 1923, 332, 347, 815, 910, 332, 692, 263, 273, 264, 630, 332, 7565, 332, 910, 476, 272, 7565, 332, 1341, 476, 273, 264, 815, 476, 271, 692, 5804, 3948, 476, 272, 267, 649, 917, 700, 9391, 814, 6207, 1871, 563, 7712, 6207, 1871, 666, 2760, 581, 2942, 267, 865, 519, 1152, 26363, 3070, 729, 476, 271, 692, 296, 993, 2386, 993, 7508, 856, 1945, 268, 666, 4896, 948, 803, 856, 2496, 1607, 568, 6045, 1657, 281, 689, 630, 272, 264, 3230, 268, 332, 315, 28254, 476, 271, 2330, 25341, 3230, 332, 1422, 19008, 476, 271, 2330, 25341, 544, 666, 581, 1022, 1875, 25698, 1871, 547, 14183, 1923, 332, 347, 815, 910, 332, 563, 6303, 318, 692, 20132, 19560, 476, 15171, 4281, 273, 1496, 272, 3910, 2016, 281, 476, 11277, 7761, 692, 29262, 454, 1805, 9850, 281, 4804, 454, 16274, 281, 476, 736, 5463, 476, 1001, 276, 454, 15803, 281, 476, 10482, 273, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 25851, 692, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 15051, 267, 16373, 454, 29479, 476, 272, 281, 476, 277, 3583, 1627, 4366, 966, 3607, 454, 294, 3918, 476, 272, 281, 476, 27183, 1627, 14991, 966, 14991, 454, 294, 5183, 281, 476, 274, 269, 275, 454, 25446, 281, 19007, 543, 13870, 630, 10048, 3011, 1005, 994, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 736, 9947, 476, 1001, 278, 267, 476, 736, 281, 5655, 454, 3412, 334, 595, 454, 25802, 16602, 2243, 454, 5804, 3948, 476, 272, 649, 723, 544, 27045, 271, 2073, 544, 666, 1491, 1022, 1871, 8754, 13385, 454, 5804, 3948, 476, 273, 649, 723, 544, 284, 271, 267, 272, 16427, 273, 8754, 13385, 4586, 23382, 1456, 649, 723, 476, 271, 543, 910, 273, 8754, 6190, 454, 6303, 318, 692, 2171, 616, 811, 1419, 19225, 2989, 982, 10413, 282, 543, 649, 7985, 811, 689, 9345, 982, 689, 4641, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 25851, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 5231, 1496, 258, 21529, 316, 476, 736, 9947, 476, 1001, 278, 267, 476, 736, 281, 5655, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 2859, 1806, 593, 829, 916, 543, 2036, 338, 692, 1012, 19809, 593, 6249, 281, 834, 5415, 1806, 593, 829, 916, 543, 2036, 338, 257, 1765, 19809, 13973, 1384, 5415, 1806, 593, 829, 916, 543, 2036, 338, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 320, 264, 519, 27379, 568, 538, 519, 4605, 630, 321, 264, 519, 27379, 543, 519, 19081, 616, 538, 519, 4605, 630, 322, 264, 2901, 519, 27379, 568, 538, 519, 4605, 610, 519, 19081, 568, 538, 519, 4605, 267, 855, 711, 1312, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 320, 264, 519, 27379, 568, 538, 519, 4605, 634, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 649, 1287, 723, 476, 276, 7158, 547, 7989, 1393, 689, 476, 280, 1004, 623, 3799, 267, 337, 264, 1141, 562, 284, 280, 543, 678, 284, 276, 476, 280, 256, 14370, 280, 268, 276, 25631, 4061, 972, 616, 2081, 547, 798, 713, 476, 3445, 278, 736, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 321, 264, 519, 27379, 543, 519, 19081, 616, 538, 519, 4605, 634, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 543, 519, 19081, 538, 835, 540, 476, 276, 630, 528, 13030, 17930, 264, 476, 1789, 8925, 538, 782, 649, 1287, 723, 476, 275, 7158, 547, 7989, 1393, 689, 476, 279, 1004, 623, 3799, 267, 337, 264, 1141, 562, 284, 279, 543, 678, 284, 275, 476, 279, 256, 14370, 279, 268, 275, 25631, 4061, 972, 616, 2081, 538, 2698, 476, 27843, 876, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 322, 264, 2901, 519, 27379, 568, 538, 519, 4605, 610, 519, 19081, 568, 538, 519, 4605, 267, 855, 711, 1312, 2015, 519, 27379, 1510, 519, 19081, 519, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 519, 6967, 476, 276, 7158, 666, 581, 3144, 676, 476, 279, 1004, 1775, 4318, 269, 476, 279, 14538, 267, 711, 519, 19081, 256, 623, 3799, 267, 337, 264, 1141, 562, 284, 279, 543, 678, 815, 476, 276, 476, 279, 256, 14370, 279, 268, 276, 25631, 538, 2698, 972, 616, 2081, 547, 723, 519, 27379, 1510, 519, 19081, 476, 29889, 736, 2081, 634, 1482, 6585, 585, 519, 19081, 1510, 519, 27379, 4061, 815, 2081, 538, 2698, 692, 1410, 9052, 769, 476, 274, 323, 1032, 267, 2582, 4378, 2293, 267, 1053, 1590, 1491, 476, 280, 13838, 609, 476, 280, 11400, 630, 296, 6557, 24937, 519, 2319, 1788, 538, 713, 4901, 1040, 3962, 9074, 814, 519, 1739, 981, 2497, 1215, 1082, 1114, 2081, 666, 596, 14183, 519, 1657, 4170, 2496, 21129, 0, 1607, 3135, 568, 6462, 676, 23190, 547, 634, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 15150, 13923, 1473, 1182, 737, 971, 602, 476, 2918, 7132, 519, 737, 6253, 21083, 1297, 568, 513, 3501, 4009, 269, 476, 273, 692, 260, 296, 692, 260, 306, 476, 275, 267, 1015, 267, 4391, 267, 6858, 267, 13136, 267, 4375, 275, 267, 12553, 276, 267, 26631, 280, 267, 278, 5392, 273, 267, 16328, 6349, 267, 275, 3607, 7597, 267, 4281, 272, 1428, 267, 22724, 276, 2190, 267, 3393, 276, 23310, 10484, 260, 307, 476, 16825, 31003, 278, 267, 25228, 3607, 273, 278, 267, 279, 5038, 277, 4097, 271, 267, 15150, 277, 5038, 10619, 267, 2004, 274, 280, 3393, 4792, 267, 3445, 272, 3393, 273, 866, 267, 27840, 278, 2641, 32180, 10484, 260, 308, 476, 30589, 29024, 279, 5655, 267, 14378, 4350, 14690, 280, 267, 27420, 25248, 4343, 274, 276, 267, 4200, 278, 4281, 277, 280, 4510, 275, 267, 9965, 4366, 273, 7176, 272, 3583, 267, 6812, 272, 4649, 273, 279, 5392, 1704, 267, 10441, 271, 2767, 31746, 6942, 267, 24783, 4817, 274, 279, 2412, 271, 2568, 692, 260, 301, 1473, 1182, 737, 971, 602, 476, 2918, 7132, 519, 737, 6253, 21083, 1297, 568, 513, 3501, 4009, 780, 260, 295, 2051, 514, 31661, 518, 267, 2999, 320, 27430, 6889, 270, 288, 15150, 13923, 11486, 15150, 13923, 17902, 22969, 8368, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 4335, 9572, 320, 285, 692, 260, 295, 674, 269, 570, 269, 17566, 8862, 520, 1562, 267, 2999, 320, 27430, 6889, 10674, 2517, 4289, 269, 572, 336, 325, 534, 4318, 340, 270, 7032, 11279, 841, 270, 572, 336, 325, 534, 270, 1220, 280, 268, 19751, 270, 16573, 27843, 11258, 22969, 5353, 336, 293, 534, 17564, 9572, 320, 285, 267, 4239, 476, 1220, 280, 692, 260, 295, 2999, 320, 27430, 6889, 270, 8161, 270, 13434, 258, 4650, 318, 4962, 22969, 19340, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 9572, 320, 285, 267, 15040, 630, 272, 267, 277, 16427, 277, 16427, 272, 267, 272, 6393, 260, 293, 2715, 330, 281, 476, 2918, 266, 330, 16732, 330, 266, 272, 8358, 273, 538, 589, 1822, 23310, 348, 780, 260, 293, 513, 3799, 264, 815, 1341, 320, 3799, 268, 272, 264, 1341, 277, 265, 320, 3799, 268, 273, 264, 910, 277, 265, 320, 3799, 268, 274, 264, 910, 320, 3799, 268, 275, 264, 1341, 320, 3799, 268, 276, 6393, 260, 293, 717, 8807, 12727, 1535, 265, 8987, 275, 268, 277, 20080, 268, 274, 20080, 317, 273, 266, 277, 20080, 317, 274, 266, 276, 20080, 317, 275, 8358, 9230, 343, 268, 272, 264, 2608, 630, 343, 317, 273, 268, 273, 20080, 268, 272, 264, 2608, 630, 343, 317, 273, 266, 273, 20080, 268, 272, 4297, 780, 260, 293, 717, 8807, 12727, 630, 476, 1015, 1341, 11196, 274, 268, 277, 20080, 19422, 343, 317, 273, 266, 273, 20080, 268, 272, 264, 1341, 476, 272, 14370, 343, 268, 272, 264, 1341, 630, 1321, 266, 2767, 20080, 19422, 343, 317, 273, 268, 273, 20080, 268, 272, 264, 3738, 270, 273, 780, 260, 324, 476, 275, 16732, 275, 266, 272, 8358, 273, 266, 2918, 815, 476, 277, 317, 273, 269, 476, 1015, 16732, 1015, 266, 272, 8358, 273, 266, 2918, 815, 476, 280, 317, 273, 269, 476, 4391, 16732, 4391, 266, 272, 8358, 273, 266, 2918, 815, 476, 2767, 317, 273, 269, 476, 6858, 16732, 6858, 266, 272, 8358, 273, 266, 2918, 815, 476, 4366, 317, 273, 780, 260, 339 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6617, 1317, 922, 1627, 15304, 9775, 609, 454, 1103, 21689, 5955, 9186, 267, 21689, 6453, 2488, 519, 9186, 585, 454, 7617, 540, 519, 1739, 9186, 3096, 1312, 2942, 543, 2318, 1379, 3761, 286, 0, 30475, 281, 31790, 1315, 1715, 3840, 1315, 1715, 3840, 4975, 1315, 3345, 3013, 1315, 4934, 13073, 1315, 6465, 826, 540, 23068, 1315, 7330, 454, 22139, 3013, 779, 1034, 4583, 19506, 267, 519, 6465, 826, 540, 23068, 267, 729, 2899, 849, 922, 32399, 15224, 269, 6875, 513, 1413, 693, 621, 689, 519, 6371, 344, 5544, 1318, 1985, 547, 621, 538, 713, 3381, 563, 268, 11473, 6571, 281, 476, 275, 298, 630, 30156, 277, 9943, 14225, 279, 994, 268, 11473, 8653, 281, 476, 876, 281, 6795, 454, 268, 11473, 1826, 281, 476, 11740, 4113, 1395, 25646, 454, 268, 23866, 281, 853, 699, 334, 454, 268, 8943, 322, 281, 670, 269, 25784, 454, 268, 9779, 3433, 281, 476, 3066, 25253, 1186, 454, 268, 31108, 2557, 281, 476, 1839, 535, 1186, 454, 305, 5819, 1399, 1863, 24416, 609, 5001, 10419, 783, 12689, 269, 2382, 656, 3381, 4647, 269, 32000, 6165, 269, 16301, 563, 19185, 547, 6718, 811, 7044, 286, 13555, 721, 585, 4320, 24416, 28774, 563, 10666, 6465, 826, 540, 23068, 454, 1607, 568, 1715, 3840, 538, 835, 8289, 269, 634, 11599, 267, 23836, 18533, 5654, 936, 519, 2749, 689, 32762, 6816, 269, 1280, 1082, 945, 3357, 547, 519, 2276, 267, 621, 568, 519, 7555, 12576, 540, 519, 1871, 540, 5191, 269, 634, 15224, 568, 936, 476, 10844, 7397, 7381, 269, 898, 729, 1500, 856, 540, 7601, 543, 2016, 547, 519, 1004, 540, 3013, 676, 519, 1004, 540, 5333, 538, 476, 6642, 277, 269, 2311, 602, 942, 267, 621, 729, 519, 32399, 2679, 538, 1715, 3840, 269, 0, 3080, 540, 519, 1034, 2027, 24917, 903, 568, 1323, 4821, 9932, 267, 799, 2501, 689, 1313, 636, 2522, 646, 987, 269, 634, 1313, 636, 2522, 1427, 10306, 334, 568, 3592, 19730, 538, 2681, 267, 609, 513, 2178, 24710, 540, 968, 8364, 8527, 892, 543, 968, 6229, 344, 892, 1286, 14712, 4967, 543, 513, 533, 2426, 550, 6492, 269, 898, 2501, 689, 519, 646, 1430, 540, 9451, 24260, 630, 292, 878, 320, 6354, 584, 604, 3271, 320, 1070, 513, 21906, 609, 13711, 5810, 602, 16036, 538, 15489, 269, 589, 476, 1001, 273, 1353, 1336, 602, 646, 1430, 9932, 1185, 519, 5207, 4307, 565, 1543, 269, 4746, 267, 519, 1164, 2179, 540, 15279, 9932, 14434, 2337, 547, 4894, 519, 1863, 18119, 3812, 607, 513, 1267, 540, 10894, 6547, 543, 4205, 609, 519, 5007, 14107, 540, 519, 1604, 269, 26332, 3215, 891, 1863, 18119, 11151, 10172, 543, 10607, 2949, 1072, 269, 1261, 1430, 630, 528, 589, 2793, 7246, 264, 568, 9932, 3812, 689, 519, 17382, 5810, 1572, 1234, 5942, 269, 14730, 9932, 609, 513, 2178, 6492, 9053, 676, 14053, 6800, 269, 898, 16358, 3278, 3533, 689, 476, 272, 268, 274, 3275, 269, 898, 814, 513, 1164, 9422, 1871, 22262, 519, 1560, 543, 3568, 513, 1804, 2179, 540, 14947, 269, 901, 1360, 2027, 9932, 568, 6394, 538, 519, 15489, 3275, 689, 519, 594, 330, 7559, 15142, 269, 898, 814, 6822, 894, 267, 513, 11415, 550, 267, 1884, 1047, 10364, 543, 4550, 13611, 3601, 269, 2142, 3663, 568, 835, 540, 519, 1034, 1271, 13520, 2371, 1317, 621, 849, 2636, 519, 13520, 547, 581, 17105, 269, 0, 1103, 4989, 476, 2735, 277, 267, 606, 23139, 19720, 16411, 693, 519, 595, 3062, 984, 2643, 6046, 1379, 2030, 538, 1459, 6377, 12907, 6534, 6634, 540, 1004, 538, 519, 4478, 1858, 547, 14599, 17694, 269, 968, 27662, 1575, 892, 4600, 941, 849, 6534, 269, 6270, 5982, 568, 1634, 547, 2014, 2242, 267, 610, 13592, 267, 538, 5027, 563, 10521, 2090, 6313, 519, 4719, 2242, 538, 1346, 538, 519, 1858, 693, 519, 942, 540, 519, 8009, 543, 741, 1453, 1683, 1007, 4030, 883, 519, 1072, 2360, 540, 5982, 4598, 269, 634, 2090, 941, 3366, 676, 3173, 693, 22078, 295, 779, 2817, 9435, 4659, 269, 11778, 941, 3370, 593, 4989, 476, 2420, 267, 476, 1708, 272, 267, 538, 3163, 563, 3080, 540, 519, 2090, 267, 3366, 676, 3220, 338, 269, 15537, 26960, 1442, 543, 631, 1229, 603, 14717, 4526, 267, 8947, 2436, 5982, 4598, 3123, 4719, 3441, 602, 666, 581, 5293, 547, 15556, 269, 634, 3173, 3524, 10642, 519, 25450, 540, 476, 9873, 1453, 543, 741, 3237, 269, 634, 3237, 1185, 2901, 5249, 593, 7738, 909, 1310, 519, 8009, 610, 941, 17355, 18050, 689, 519, 7404, 4884, 269, 634, 1453, 941, 782, 4535, 693, 2547, 476, 5379, 4374, 1310, 519, 8009, 543, 909, 547, 519, 1032, 476, 1220, 273, 269, 634, 3744, 6059, 1142, 2385, 779, 5982, 4598, 1759, 593, 3237, 685, 5359, 540, 741, 2534, 543, 1702, 540, 2825, 5982, 1472, 519, 1379, 2030, 563, 763, 2319, 6743, 585, 4351, 267, 21245, 13592, 602, 7018, 538, 519, 3237, 685, 14203, 543, 5798, 269, 6270, 968, 1372, 18051, 334, 892, 13592, 786, 2408, 538, 1453, 779, 25450, 855, 711, 538, 2901, 2385, 779, 269, 634, 1297, 540, 667, 301, 16039, 1336, 538, 519, 1453, 729, 2147, 547, 602, 538, 519, 2489, 2551, 269, 901, 5267, 602, 1004, 6534, 547, 5982, 689, 519, 595, 3062, 984, 2643, 8009, 4769, 1406, 1780, 593, 1022, 8801, 2360, 547, 741, 1453, 563, 10527, 5982, 13066, 538, 3567, 616, 1634, 547, 723, 1044, 2539, 982, 1346, 6592, 693, 595, 3062, 984, 2643, 3034, 2750, 17068, 547, 14599, 22752, 689, 519, 595, 3062, 984, 2643, 8009, 3361, 606, 2799, 1981, 540, 11178, 2860, 269, 476, 14530, 296, 3947, 1055, 5982, 602, 9397, 519, 3114, 7554, 538, 5027, 269, 631, 20706, 666, 1106, 950, 519, 1560, 8942, 547, 7816, 891, 7554, 269, 769, 519, 2034, 1353, 267, 3366, 676, 26960, 1442, 543, 3220, 269, 14811, 25669, 18200, 517, 267, 519, 3173, 3524, 10642, 519, 25450, 540, 11178, 11871, 689, 476, 3374, 280, 1004, 945, 941, 6534, 547, 9357, 1944, 5982, 689, 519, 8009, 2901, 607, 1453, 610, 538, 519, 27042, 269, 774, 8557, 11871, 689, 476, 10037, 5805, 12723, 1004, 4535, 811, 982, 8370, 3275, 1310, 519, 8009, 941, 1031, 585, 6476, 563, 763, 3173, 1336, 602, 12970, 538, 1346, 6534, 547, 2362, 5982, 13066, 267, 3226, 693, 7820, 6502, 267, 1185, 811, 13592, 16109, 689, 5027, 5595, 3613, 8681, 9397, 1765, 15290, 1312, 5027, 22204, 616, 7745, 269, 4107, 4122, 267, 891, 13592, 941, 1336, 538, 782, 519, 2281, 538, 519, 10510, 269, 901, 5267, 602, 519, 5982, 5829, 3441, 7018, 2038, 538, 519, 10510, 779, 1646, 563, 2690, 5176, 782, 519, 12970, 267, 519, 3173, 941, 2111, 547, 2697, 1808, 13592, 538, 968, 323, 18182, 892, 6090, 602, 13087, 519, 12970, 547, 1332, 543, 7639, 269, 4107, 540, 891, 941, 538, 6090, 5892, 2404, 609, 11178, 2860, 269, 2311, 2362, 5982, 13066, 267, 9920, 13592, 941, 811, 2693, 547, 1267, 689, 513, 1880, 1826, 540, 5470, 602, 779, 5189, 950, 5027, 5595, 3613, 8681, 9397, 616, 30465, 563, 4322, 2164, 1683, 513, 5748, 585, 2417, 2090, 540, 519, 12205, 1063, 5982, 9570, 267, 2085, 267, 543, 2860, 1981, 269, 1358, 849, 9414, 519, 1871, 540, 519, 19777, 29347, 6036, 602, 941, 6394, 676, 3173, 538, 12907, 1310, 519, 8009, 563, 763, 960, 540, 519, 11660, 9730, 593, 10819, 540, 519, 5113, 267, 5267, 602, 519, 595, 3062, 984, 2643, 1775, 901, 568, 14356, 1813, 547, 519, 1249, 602, 519, 24745, 5950, 693, 595, 3062, 984, 2643, 22157, 547, 581, 3476, 24331, 982, 1346, 5950, 676, 519, 1033, 29396, 540, 10570, 23038, 563, 763, 2804, 3441, 3361, 676, 519, 9568, 568, 6059, 693, 1269, 20720, 5479, 269, 0, 347, 19613, 1475, 22013, 17368, 324, 1315, 590, 529, 7288, 9767, 1315, 670, 3518, 1245, 339, 17521, 267, 4993, 267, 2136, 2276, 2008, 347, 10468, 11732, 2749, 1475, 290, 29266, 4975, 267, 4993, 2008, 347, 22704, 1475, 9264, 267, 26764, 14143, 630, 278, 4375, 269, 6507, 5998, 273, 10245, 347, 294, 1478, 940, 1560, 1475, 308, 2529, 269, 11206, 6796, 2008, 763, 590, 529, 7288, 9767, 8187, 15227, 568, 513, 5313, 19069, 1858, 11280, 676, 519, 8574, 540, 519, 4993, 8187, 15227, 2920, 540, 476, 2735, 275, 269, 20323, 267, 519, 2244, 1858, 729, 476, 14631, 267, 1822, 14143, 630, 30663, 5998, 273, 264, 634, 8832, 4993, 8187, 11595, 2920, 540, 476, 1220, 277, 3773, 476, 1789, 267, 14338, 14143, 630, 13199, 269, 3445, 5998, 273, 264, 585, 519, 1699, 2698, 540, 476, 9264, 267, 26764, 14143, 630, 278, 4375, 269, 6507, 5998, 273, 1040, 2353, 540, 519, 19069, 568, 538, 8832, 4993, 543, 568, 7307, 676, 519, 772, 2529, 269, 11206, 6796, 269, 634, 19069, 21269, 1614, 3084, 7733, 281, 519, 681, 4084, 5211, 1700, 306, 529, 7288, 9767, 267, 519, 918, 4594, 987, 267, 543, 519, 14520, 23117, 563, 763, 590, 529, 7288, 9767, 15142, 1106, 835, 540, 519, 13074, 6024, 1212, 7370, 538, 519, 918, 4594, 987, 15142, 3148, 269, 29175, 725, 2039, 689, 476, 278, 3583, 3952, 630, 15996, 544, 264, 547, 519, 21895, 540, 2776, 8725, 30078, 693, 476, 278, 267, 29616, 3952, 630, 273, 267, 25248, 544, 264, 1657, 4262, 1377, 269, 7066, 526, 532, 538, 513, 5087, 1700, 338, 1926, 4287, 689, 519, 14822, 8473, 1524, 547, 2282, 519, 4884, 540, 1284, 3558, 29347, 543, 476, 736, 5195, 630, 3953, 5998, 264, 24654, 689, 519, 7414, 7909, 267, 519, 590, 529, 7288, 344, 748, 616, 12297, 1540, 676, 22586, 19589, 8375, 936, 476, 277, 267, 1822, 3952, 630, 272, 267, 8517, 544, 264, 689, 519, 4478, 1970, 4133, 563, 763, 590, 529, 7288, 9767, 8187, 15227, 3568, 513, 3309, 4015, 540, 598, 11717, 2249, 1519, 678, 541, 885, 971, 607, 14522, 524, 25729, 267, 5800, 2107, 5112, 524, 25729, 267, 543, 519, 918, 4594, 987, 15142, 15134, 2438, 30179, 518, 838, 16078, 20193, 568, 8037, 585, 519, 5318, 5666, 540, 2025, 3766, 9512, 7733, 543, 1082, 21049, 2249, 540, 3552, 25154, 267, 19211, 543, 4054, 267, 607, 1134, 607, 835, 540, 519, 1158, 781, 4102, 9830, 540, 561, 25788, 563, 763, 19069, 568, 1753, 547, 1896, 4686, 2249, 267, 1519, 530, 565, 591, 710, 267, 31994, 267, 13278, 267, 7187, 19481, 22559, 543, 17619, 1714, 330, 269, 1703, 568, 849, 3109, 7703, 267, 3109, 26904, 13650, 267, 543, 1082, 8677, 540, 5017, 269, 634, 2312, 12535, 1683, 838, 27681, 12406, 585, 5374, 3650, 267, 1071, 14833, 543, 25590, 809, 13687, 563, 763, 13068, 15880, 2817, 28046, 20417, 22613, 476, 736, 269, 276, 5195, 630, 3451, 269, 271, 5998, 264, 540, 519, 7187, 6712, 543, 2488, 1569, 547, 930, 540, 519, 811, 29271, 2694, 540, 519, 19069, 31539, 2282, 519, 918, 4594, 987, 5211, 547, 519, 8055, 5211, 630, 30210, 264, 7941, 269, 769, 519, 7013, 851, 540, 519, 19069, 267, 519, 22398, 8124, 2817, 28046, 20417, 5956, 693, 19594, 8235, 267, 543, 519, 4810, 554, 32304, 666, 3802, 585, 827, 476, 736, 5195, 630, 3953, 5998, 264, 547, 519, 8055, 5211, 269, 634, 1034, 8185, 10272, 2127, 616, 538, 519, 22070, 7944, 540, 519, 3148, 1765, 935, 1417, 3603, 593, 18162, 602, 1291, 547, 12647, 269, 13518, 540, 519, 1858, 19330, 18162, 543, 568, 2352, 547, 1569, 3444, 28029, 787, 1317, 540, 519, 10053, 11453, 269, 634, 8262, 20584, 20417, 21986, 525, 519, 30160, 540, 519, 19069, 689, 5087, 547, 5045, 267, 998, 930, 540, 519, 1034, 6552, 2127, 563, 347, 20458, 1239, 585, 590, 529, 7288, 9767, 2817, 8187, 15227, 2008, 347, 13434, 867, 1164, 11019, 293, 630, 4113, 290, 10534, 7597, 2008, 24820, 2071, 1164, 11019, 293, 630, 4113, 290, 10534, 2004, 2008, 24820, 2071, 1970, 11019, 293, 630, 4113, 290, 10534, 4029, 2008, 347, 13434, 867, 1970, 11019, 293, 630, 4113, 290, 10534, 278, 2008, 24820, 2071, 13247, 6279, 630, 7825, 10534, 280, 269, 1626, 2008, 24820, 2071, 6777, 6420, 6279, 630, 9492, 10534, 274, 269, 2412, 2008, 763, 918, 4594, 987, 15142, 616, 513, 27726, 543, 21066, 20651, 7823, 2039, 538, 32720, 4993, 543, 27623, 14822, 538, 519, 7262, 2136, 2276, 269, 1306, 513, 7823, 1062, 1369, 1312, 519, 3152, 7414, 11076, 681, 5190, 543, 519, 4993, 11076, 681, 5190, 267, 519, 918, 4594, 987, 15142, 723, 513, 9867, 20569, 267, 609, 8101, 2127, 540, 1583, 25871, 9548, 543, 18899, 267, 543, 513, 2916, 6353, 676, 26815, 4411, 24475, 609, 1360, 5230, 6777, 6420, 543, 3636, 267, 1360, 3819, 28782, 609, 3908, 11811, 267, 2523, 538, 519, 5045, 269, 1306, 513, 12343, 540, 519, 20569, 543, 3037, 2010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2018, 1775, 815, 1775, 12262, 476, 273, 692, 825, 1219, 25576, 291, 1144, 4311, 267, 1775, 2187, 1038, 1247, 1775, 2608, 476, 273, 10922, 1582, 25915, 912, 2018, 26818, 815, 1582, 269, 2381, 21609, 9217, 994, 2018, 952, 1582, 11519, 515, 777, 8266, 5157, 316, 3436, 1582, 11519, 515, 777, 8266, 314, 32508, 14158, 3546, 1582, 269, 1873, 777, 9217, 267, 26818, 994, 2018, 1775, 815, 26818, 692, 825, 1219, 1295, 21609, 4311, 267, 1775, 2187, 1038, 952, 630, 328, 265, 273, 264, 1341, 476, 272, 3436, 1582, 25915, 912, 2018, 2132, 1775, 2608, 476, 273, 454, 1038, 3116, 912, 2018, 2451, 815, 1775, 2608, 476, 273, 454, 2018, 1318, 815, 1775, 2608, 476, 273, 1341, 476, 272, 454, 2018, 952, 1582, 11519, 515, 777, 8266, 314, 3847, 316, 2999, 1582, 11519, 515, 777, 8266, 314, 2431, 14158, 3546, 2132, 2451, 454, 2018, 3116, 912, 3546, 2132, 1318, 692, 825, 1219, 7696, 4311, 267, 1883, 2187, 1038, 1582, 11519, 515, 777, 8266, 6910, 31107, 994, 1038, 1582, 25915, 6834, 476, 272, 454, 1038, 1582, 269, 704, 322, 10000, 4311, 25915, 2020, 825, 1219, 18419, 4311, 267, 1883, 2187, 1038, 4994, 815, 1582, 26098, 19340, 8170, 7659, 31107, 994, 1038, 1582, 11519, 515, 777, 8266, 27709, 316, 815, 1582, 11519, 515, 777, 8266, 314, 1345, 25915, 2639, 1038, 1582, 11519, 515, 777, 8266, 21014, 4590, 1038, 1582, 25915, 20699, 476, 272, 454, 1038, 1582, 269, 704, 322, 291, 1144, 263, 8161, 2020, 825, 1219, 1265, 19340, 8170, 7659, 4311, 267, 1883, 2187, 1038, 585, 4994, 267, 1871, 538, 26246, 4311, 11519, 515, 777, 8266, 2187, 2018, 952, 1871, 2652, 1883, 912, 3546, 2132, 4994, 692, 825, 1219, 1205, 14737, 3065, 4311, 2187, 1038, 2132, 1582, 11519, 515, 777, 8266, 314, 272, 316, 1948, 2381, 3891, 777, 865, 10545, 3693, 786, 2141, 581, 693, 3597, 692, 825, 1219, 2638, 2690, 23330, 566, 4311, 267, 2418, 2187, 1038, 1948, 19073, 321, 15630, 4671, 15869, 4590, 1038, 952, 2418, 314, 271, 316, 2652, 476, 272, 912, 2018, 1948, 12133, 542, 454, 2018, 1582, 27044, 263, 11161, 314, 272, 7481, 1038, 952, 2418, 314, 271, 316, 2652, 476, 273, 912, 2018, 1948, 1372, 2280, 542, 454, 2018, 1582, 19709, 8541, 263, 11161, 314, 272, 7481, 1038, 952, 2418, 314, 271, 316, 2652, 476, 274, 912, 2018, 1948, 2745, 5934, 540, 782, 2609, 538, 519, 24050, 454, 2018, 2132, 1582, 10947, 14737, 3065, 10797, 5035, 4530, 3891, 777, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 269, 515, 777, 815, 1295, 3891, 777, 4590, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 30525, 4281, 280, 271, 3374, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 14838, 4792, 274, 280, 2641, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 28638, 20542, 276, 3066, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 5392, 275, 276, 2641, 27888, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 14838, 4792, 274, 280, 2641, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 30525, 4281, 280, 271, 3374, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 26951, 27768, 6021, 273, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 22724, 279, 2764, 9340, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 22724, 279, 2764, 9340, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 275, 4792, 4200, 276, 4037, 274, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 5952, 279, 279, 8287, 1428, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 278, 4817, 4817, 279, 278, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 21172, 28883, 7176, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 278, 4817, 4817, 279, 278, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 910, 276, 1556, 6795, 272, 5400, 7481, 1038, 1948, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 910, 276, 1556, 6795, 272, 5400, 7481, 1038, 1948, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 278, 4817, 4817, 279, 278, 316, 9239, 825, 1219, 1449, 318, 1326, 14737, 3065, 4311, 2187, 1038, 1267, 815, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 274, 7481, 1038, 1582, 27863, 31114, 267, 910, 276, 1556, 6795, 272, 5400, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1770, 11687, 6230, 664, 4590, 0, 258, 5932, 513, 1592, 733, 1456, 2418, 689, 476, 272, 268, 736, 454, 3240, 8217, 815, 27883, 343, 1341, 476, 272, 264, 585, 1535, 538, 2039, 263, 736, 22708, 2745, 3488, 763, 1592, 5627, 2418, 689, 476, 272, 268, 736, 568, 32473, 22207, 1250, 8217, 994, 258, 1592, 8223, 602, 10945, 782, 9642, 2418, 540, 1592, 8223, 454, 3240, 8217, 318, 15957, 5334, 32464, 815, 1496, 343, 20080, 952, 1535, 4939, 476, 273, 3116, 1535, 585, 1535, 538, 1250, 8217, 2639, 2745, 3488, 763, 1657, 1592, 609, 9642, 2418, 16302, 568, 32473, 22207, 1250, 8217, 318, 15957, 5334, 32464, 994, 258, 7662, 513, 1297, 689, 3593, 454, 15893, 815, 11713, 1721, 1775, 538, 2039, 263, 275, 2187, 825, 1297, 6910, 17301, 9272, 3488, 11767, 1297, 15079, 281, 29717, 8971, 9217, 1341, 476, 272, 4297, 4917, 15893, 31699, 4590, 2745, 3488, 306, 9285, 1592, 540, 2338, 9411, 568, 32473, 22207, 1297, 2020, 0, 1721, 1775, 538, 2039, 263, 1321, 2187, 825, 1775, 284, 328, 266, 272, 454, 825, 585, 1535, 538, 2039, 263, 1321, 2187, 1038, 1535, 815, 1535, 266, 272, 454, 1038, 586, 815, 1775, 20080, 454, 1038, 1820, 19304, 9217, 264, 1341, 834, 1535, 834, 1341, 1193, 3287, 264, 1341, 834, 815, 834, 1341, 1193, 12169, 4917, 825, 1820, 2891, 10900, 734, 8442, 0, 692, 12528, 19152, 815, 703, 9272, 2891, 6943, 1297, 540, 707, 4829, 2433, 27328, 3240, 293, 21209, 815, 1305, 4590, 6112, 7003, 30044, 293, 21209, 264, 2999, 3593, 19152, 10778, 825, 1250, 293, 21209, 14491, 9272, 2891, 293, 8816, 2433, 27328, 825, 1820, 30044, 293, 21209, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31933, 543, 22488, 267, 17333, 1562, 616, 513, 7772, 547, 4585, 607, 789, 6335, 543, 4685, 538, 519, 1216, 563, 2690, 1082, 1296, 938, 5065, 20195, 22057, 610, 3864, 17333, 614, 630, 27023, 881, 2012, 700, 583, 571, 700, 583, 571, 264, 814, 1044, 593, 519, 1490, 1074, 540, 14486, 538, 519, 5177, 543, 31986, 835, 538, 519, 3552, 1131, 723, 1044, 3592, 7543, 267, 855, 2221, 596, 616, 811, 2693, 547, 1294, 835, 982, 693, 1022, 942, 538, 519, 2063, 476, 2568, 1296, 563, 12988, 689, 519, 1490, 1074, 540, 14486, 454, 292, 584, 22057, 17333, 614, 2338, 3459, 19394, 538, 519, 476, 4198, 271, 338, 2394, 519, 2249, 2968, 3592, 17255, 538, 4789, 543, 12986, 267, 4352, 513, 1507, 2551, 15068, 538, 10430, 269, 2755, 10122, 543, 7226, 2530, 5129, 513, 851, 267, 5533, 540, 938, 25825, 689, 6694, 6464, 729, 14042, 547, 17333, 614, 5095, 269, 8729, 5631, 547, 5726, 3646, 267, 538, 519, 2038, 476, 1960, 271, 338, 891, 6464, 941, 17049, 543, 607, 1216, 2298, 7444, 2799, 865, 1705, 17333, 614, 2338, 563, 9213, 267, 519, 20195, 22057, 17333, 614, 2551, 568, 2810, 630, 24392, 621, 3788, 14033, 21784, 2989, 593, 519, 4414, 5903, 264, 543, 1169, 10315, 538, 519, 5177, 1631, 814, 513, 3552, 17333, 614, 2551, 563, 4415, 2110, 17873, 267, 1357, 5523, 3952, 543, 32356, 519, 20195, 22057, 17333, 614, 568, 1360, 1134, 9862, 547, 922, 1216, 344, 1604, 269, 898, 814, 3810, 6213, 31953, 619, 267, 543, 606, 8650, 2631, 540, 8289, 267, 9329, 543, 6217, 865, 621, 666, 3713, 10352, 538, 9597, 5652, 7297, 563, 8489, 798, 3552, 17333, 1562, 2661, 267, 543, 875, 666, 596, 1294, 835, 538, 519, 5177, 888, 292, 584, 22057, 17333, 1562, 616, 6805, 547, 519, 5177, 543, 666, 581, 1336, 538, 2901, 4195, 610, 6070, 1216, 267, 4352, 621, 779, 2356, 1634, 607, 519, 5757, 17333, 614, 585, 519, 6654, 2601, 269, 5221, 17333, 1562, 3548, 5631, 3165, 267, 596, 3580, 3622, 1265, 873, 538, 2127, 1141, 972, 616, 7899, 540, 713, 1426, 2707, 269, 1358, 849, 3548, 12933, 30702, 267, 20883, 543, 1256, 1507, 1216, 5017, 269, 769, 15195, 789, 3049, 593, 29607, 543, 13687, 269, 4014, 519, 20195, 22057, 17333, 614, 3884, 1406, 513, 7286, 3662, 630, 18484, 1406, 25657, 621, 609, 513, 4262, 17333, 614, 267, 799, 616, 1152, 1336, 538, 519, 7414, 264, 1317, 621, 666, 1406, 7639, 1510, 4195, 1216, 267, 789, 616, 1419, 1336, 538, 9381, 9249, 607, 1134, 607, 12647, 267, 8933, 543, 12535, 563, 9928, 582, 1633, 568, 519, 1655, 1747, 538, 519, 5177, 547, 1294, 873, 543, 3226, 593, 519, 5032, 267, 1141, 789, 616, 3622, 811, 3742, 1282, 519, 1554, 269, 6736, 4742, 3592, 17255, 689, 4789, 543, 12986, 17333, 1562, 723, 7307, 547, 8853, 593, 10430, 779, 27726, 5032, 6050, 543, 3552, 544, 3233, 4133, 543, 2221, 17333, 614, 2338, 972, 616, 2219, 547, 9765, 476, 279, 267, 1822, 563, 763, 7178, 5032, 540, 519, 4400, 4133, 267, 519, 1772, 548, 540, 4787, 6614, 543, 519, 1772, 548, 540, 631, 1638, 616, 1390, 17333, 614, 1193, 517, 724, 9529, 267, 1141, 789, 666, 581, 2182, 547, 4413, 269, 8191, 19257, 3554, 11023, 28002, 267, 538, 1200, 1433, 17305, 614, 13474, 267, 4330, 519, 12404, 693, 19109, 2401, 9996, 593, 4787, 6614, 607, 606, 2048, 302, 339, 614, 10093, 9957, 13185, 547, 1022, 13278, 2006, 2059, 519, 5032, 267, 543, 596, 2461, 2693, 547, 5873, 602, 789, 1175, 4718, 835, 602, 6640, 1107, 3006, 3843, 547, 10788, 720, 741, 6952, 256, 634, 967, 5034, 5032, 3515, 267, 3638, 538, 32420, 543, 609, 15195, 7404, 538, 8933, 543, 20115, 1118, 519, 3501, 17333, 614, 7226, 563, 8450, 3552, 17333, 1562, 693, 13431, 307, 18013, 454, 4263, 13431, 307, 649, 723, 3552, 17333, 1562, 2713, 593, 782, 938, 14425, 269, 2311, 590, 3916, 8822, 972, 616, 2834, 17333, 614, 8436, 547, 519, 3751, 325, 8718, 31674, 543, 693, 6115, 17333, 1562, 723, 1500, 519, 29649, 18848, 3019, 741, 1753, 269, 1358, 849, 5781, 7693, 909, 593, 519, 700, 17427, 22088, 15395, 538, 12986, 269, 634, 4527, 540, 17333, 1562, 6645, 721, 513, 2603, 827, 519, 1072, 540, 938, 19126, 267, 519, 8902, 513, 26868, 543, 938, 25825, 616, 519, 811, 17333, 1562, 621, 786, 581, 5885, 563, 291, 9665, 17305, 614, 713, 6640, 593, 519, 23203, 267, 13431, 307, 6115, 1765, 6424, 667, 1231, 2917, 31822, 26903, 22139, 292, 770, 264, 5988, 476, 2918, 267, 476, 1001, 278, 454, 1432, 513, 1490, 1393, 267, 729, 13085, 547, 4585, 621, 21556, 519, 6329, 269, 287, 300, 2459, 531, 318, 306, 1539, 1214, 7711, 26903, 20084, 17552, 6745, 342, 7867, 2593, 270, 7246, 302, 330, 293, 271, 311, 338, 11011, 454, 1432, 1058, 594, 1413, 585, 543, 1141, 888, 302, 339, 1562, 5749, 1406, 519, 1655, 693, 8720, 741, 13475, 799, 568, 513, 1390, 948, 547, 4896, 593, 519, 1413, 719, 585, 835, 269, 1358, 616, 7068, 540, 4356, 543, 4043, 547, 1246, 519, 1482, 11507, 267, 21409, 607, 1454, 593, 2244, 607, 789, 798, 538, 1216, 563, 268, 17305, 1562, 616, 26776, 7068, 543, 596, 1522, 1134, 5873, 873, 1354, 596, 1294, 873, 269, 5901, 606, 1274, 856, 585, 1085, 4599, 17331, 267, 10943, 4770, 543, 2695, 324, 1136, 563, 268, 6733, 585, 513, 544, 28854, 267, 10859, 2275, 1844, 983, 13472, 883, 519, 5757, 563, 268, 17305, 1562, 723, 2947, 32356, 865, 621, 779, 2653, 547, 2995, 606, 17333, 614, 11640, 689, 1034, 824, 2831, 269, 634, 12362, 1977, 544, 1074, 849, 814, 2947, 19462, 267, 855, 519, 21181, 616, 1454, 7522, 518, 543, 519, 32356, 811, 11329, 563, 268, 17305, 614, 5323, 25940, 267, 610, 838, 571, 6493, 267, 616, 1419, 1031, 547, 1665, 8513, 1107, 1413, 585, 873, 2059, 519, 5757, 4871, 610, 593, 7725, 269, 1358, 616, 513, 3039, 344, 3109, 7990, 543, 616, 1419, 4330, 607, 1159, 2454, 899, 5810, 2336, 763, 476, 1015, 1655, 4025, 547, 1413, 585, 17333, 1562, 543, 741, 4191, 454, 10214, 1498, 972, 616, 811, 540, 873, 827, 17333, 1562, 616, 1869, 2182, 547, 5544, 269, 1358, 616, 3728, 267, 6923, 5728, 633, 543, 2356, 27248, 269, 17305, 1562, 3049, 693, 21554, 543, 546, 23677, 865, 519, 1079, 3108, 1354, 616, 3622, 519, 1655, 942, 585, 17333, 614, 31986, 269, 1358, 9742, 782, 1032, 5180, 267, 855, 538, 519, 5177, 17333, 1562, 4043, 547, 723, 741, 1762, 630, 21406, 4996, 1186, 264, 538, 519, 4832, 3275, 865, 693, 713, 942, 540, 1032, 267, 596, 1796, 513, 1732, 4960, 540, 1350, 31663, 532, 513, 8289, 540, 873, 538, 8933, 543, 9381, 19126, 269, 5901, 606, 3750, 856, 585, 873, 912, 268, 7201, 543, 2282, 13123, 454, 268, 2201, 8492, 1938, 454, 268, 2201, 536, 746, 619, 610, 7725, 2901, 538, 5757, 610, 2282, 519, 5757, 454, 268, 2201, 2025, 3529, 588, 7927, 610, 20743, 454, 268, 2311, 2901, 1439, 540, 30246, 10092, 454, 268, 2201, 18574, 8492, 454, 268, 769, 5070, 543, 544, 28854, 2127, 454, 268, 15907, 22253, 543, 12647, 454, 268, 769, 23047, 1127, 610, 556, 539, 15135, 454, 268, 2311, 5757, 15118, 2388, 610, 28963, 454, 292, 584, 22057, 17333, 1562, 3068, 1007, 4220, 454, 9213, 606, 17333, 614, 779, 1292, 3463, 568, 689, 1018, 649, 2322, 538, 519, 1216, 269, 2859, 543, 811, 15244, 540, 5061, 543, 11955, 267, 543, 519, 5068, 26005, 1336, 538, 608, 9110, 328, 1218, 267, 616, 1373, 1336, 538, 8933, 267, 543, 789, 2461, 849, 1373, 1336, 538, 17333, 1562, 685, 4703, 563, 2690, 9381, 23029, 17333, 1562, 267, 3282, 21383, 568, 513, 1483, 8594, 269, 634, 3687, 577, 7297, 1063, 4787, 6614, 543, 519, 4934, 518, 1261, 1962, 1938, 267, 1141, 1082, 17333, 1562, 2661, 267, 568, 1869, 513, 2101, 7382, 518, 8905, 269, 17305, 1562, 616, 2219, 547, 581, 2523, 7925, 547, 519, 2360, 540, 3282, 269, 1703, 616, 1082, 4128, 585, 713, 267, 1519, 741, 1507, 2450, 267, 513, 1164, 10894, 2557, 267, 513, 2347, 16126, 593, 741, 9663, 585, 8143, 10072, 543, 1279, 5712, 6170, 13735, 538, 519, 1216, 1141, 3282, 814, 6394, 563, 4517, 952, 596, 1616, 547, 10018, 7487, 606, 17333, 614, 7498, 2252, 596, 1810, 1406, 1294, 835, 267, 596, 666, 2141, 3643, 9410, 631, 699, 610, 5507, 22911, 1633, 10418, 547, 1294, 930, 540, 938, 17055, 7489, 6879, 677, 804, 31090, 267, 610, 590, 3916, 8822, 547, 1294, 938, 3345, 1977, 5757, 17333, 1562, 630, 16269, 2461, 711, 27248, 267, 865, 596, 2461, 811, 2693, 547, 1205, 513, 19214, 8094, 268, 589, 1895, 540, 5757, 17333, 1562, 568, 1634, 607, 513, 6535, 335, 454, 268, 634, 2990, 540, 922, 4064, 616, 1164, 593, 922, 2212, 799, 1797, 621, 666, 1294, 856, 540, 519, 1216, 15029, 519, 1964, 540, 922, 1560, 13978, 24760, 2630, 910, 899, 513, 20361, 334, 2336, 268, 17305, 1562, 5968, 1210, 741, 838, 571, 842, 630, 323, 549, 25940, 1040, 3683, 476, 1911, 1114, 3334, 723, 1044, 4857, 1369, 17333, 614, 5323, 25940, 543, 930, 540, 891, 616, 2219, 547, 2270, 1344, 593, 3023, 267, 2085, 543, 1256, 1367, 6284, 799, 666, 581, 1031, 676, 824, 17333, 1562, 454, 268, 1879, 621, 779, 14015, 519, 17333, 614, 666, 2673, 922, 10772, 543, 9224, 855, 666, 1152, 3180, 922, 7362, 585, 827, 476, 1789, 7643, 454, 268, 1323, 17333, 614, 779, 5394, 9663, 568, 1500, 909, 1079, 6106, 267, 513, 5394, 9018, 28890, 835, 7863, 513, 3636, 6418, 835, 269, 634, 9663, 20637, 513, 4494, 540, 2011, 32229, 519, 17333, 614, 0, 10112, 1539, 725, 6168, 4889, 725, 609, 2681, 616, 3989, 267, 538, 851, 676, 28529, 518, 21960, 1066, 519, 2278, 540, 7822, 10017, 543, 7822, 10657, 676, 938, 12823, 267, 1893, 267, 3615, 610, 3029, 663, 7209, 4162, 269, 901, 3296, 6799, 519, 2164, 540, 2681, 12205, 543, 875, 789, 5635, 547, 824, 3370, 2090, 269, 590, 5151, 769, 7681, 609, 5905, 267, 4778, 2408, 3636, 267, 3579, 267, 3819, 267, 543, 6632, 547, 2012, 513, 1906, 563, 19530, 4528, 314, 12575, 9948, 476, 1428, 628, 7160, 540, 519, 27429, 269, 634, 2063, 1614, 12531, 616, 519, 3883, 540, 519, 5729, 3109, 12636, 543, 519, 1079, 31891, 4994, 19826, 12636, 269, 590, 4532, 9220, 27429, 814, 1185, 2185, 2694, 281, 634, 7160, 540, 27429, 8659, 5111, 17288, 8536, 4930, 563, 4913, 267, 972, 616, 17756, 547, 713, 4341, 267, 971, 607, 8878, 2864, 982, 20237, 269, 15080, 609, 9838, 4408, 616, 10288, 1101, 676, 7606, 267, 1287, 676, 4025, 267, 1287, 676, 1919, 269, 681, 592, 619, 609, 9838, 4408, 616, 6896, 1101, 9904, 1227, 676, 2197, 543, 1287, 676, 12225, 1108, 282, 3976, 267, 8176, 8633, 540, 5333, 9551, 525, 8176, 594, 540, 4789, 4289, 539, 538, 27429, 607, 519, 14610, 540, 4279, 6628, 543, 8581, 563, 6546, 568, 267, 789, 616, 9904, 1242, 607, 952, 741, 10643, 941, 834, 28846, 267, 5333, 267, 476, 274, 257, 543, 834, 28846, 267, 4279, 6628, 543, 8581, 267, 476, 272, 2668, 6684, 267, 4025, 602, 2671, 4408, 616, 6896, 9904, 1227, 676, 2197, 267, 1287, 676, 2479, 23337, 718, 518, 2797, 15523, 563, 1103, 4728, 1492, 2754, 9307, 602, 519, 7160, 1131, 581, 519, 2063, 9102, 4528, 269, 901, 729, 9307, 607, 513, 1847, 676, 519, 2754, 547, 3082, 547, 519, 2053, 543, 1445, 593, 922, 2104, 1210, 3059, 3892, 563, 288, 2016, 7160, 540, 519, 3883, 540, 519, 5729, 568, 3957, 538, 2474, 540, 519, 1032, 540, 922, 8313, 267, 1498, 519, 7160, 2965, 6227, 519, 2621, 540, 519, 3105, 1032, 269, 15080, 6580, 1394, 547, 519, 7160, 616, 3769, 2228, 269, 634, 10189, 2882, 513, 2039, 540, 24045, 1543, 1519, 7851, 267, 7044, 267, 3280, 24056, 267, 27515, 543, 1357, 6402, 563, 2005, 849, 3091, 1353, 2645, 543, 8675, 543, 519, 28445, 13366, 689, 8585, 26713, 268, 31812, 269, 27429, 6732, 568, 513, 3896, 609, 811, 982, 14895, 543, 568, 8242, 5781, 269, 22073, 538, 2038, 1492, 27429, 1500, 4930, 11884, 2139, 952, 789, 616, 5409, 15062, 539, 689, 606, 5007, 3135, 563, 15239, 28175, 30533, 619, 616, 6039, 1402, 13522, 543, 10229, 269, 634, 3370, 7160, 540, 519, 679, 9871, 320, 4215, 786, 711, 581, 4299, 676, 519, 2242, 269, 1323, 24215, 30508, 23784, 568, 2441, 710, 27659, 2023, 540, 519, 2160, 540, 10228, 15367, 8329, 476, 2190, 4930, 593, 9325, 6323, 563, 4415, 513, 1661, 518, 640, 3592, 813, 16226, 267, 1496 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 272, 284, 300, 1695, 12118, 11445, 2891, 13070, 639, 14744, 300, 26387, 273, 284, 300, 1695, 12118, 11445, 2891, 289, 27534, 14744, 300, 26387, 274, 284, 300, 1695, 12118, 11445, 2891, 10111, 1503, 14744, 300, 26387, 275, 284, 300, 1695, 12118, 11445, 2891, 291, 8643, 14744, 300, 26387, 276, 284, 300, 1695, 12118, 11445, 2891, 10955, 1189, 14744, 300, 26387, 277, 284, 300, 1695, 12118, 11445, 2891, 293, 518, 549, 14744, 300, 26387, 278, 284, 300, 1695, 12118, 11445, 2891, 294, 639, 323, 584, 14744, 300, 26387, 279, 284, 300, 1695, 12118, 11445, 2891, 295, 531, 574, 14744, 300, 26387, 280, 284, 300, 1695, 12118, 11445, 2891, 296, 345, 9774, 14744, 300, 26387, 1015, 284, 300, 1695, 12118, 11445, 2891, 297, 8932, 14744, 5897, 291, 10762, 541, 300, 1695, 12118, 11445, 815, 1496, 300, 26387, 273, 267, 300, 26387, 272, 267, 300, 26387, 275, 267, 300, 26387, 274, 267, 300, 26387, 280, 267, 300, 26387, 1015, 267, 300, 26387, 279, 267, 300, 26387, 277, 267, 300, 26387, 278, 267, 300, 26387, 276, 316, 5897, 258, 1820, 2891, 5353, 10964, 636, 1019, 8585, 613, 14826, 14744, 258, 512, 2086, 559, 291, 10762, 541, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 258, 1820, 19629, 333, 14744, 258, 1820, 2891, 13729, 601, 1695, 1019, 8585, 613, 14826, 14744, 16936, 26211, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 258, 512, 2086, 559, 291, 10762, 541, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 5897, 258, 12971, 476, 273, 1477, 5035, 29571, 24998, 8029, 453, 18851, 25269, 11415, 585, 29571, 18851, 1477, 22592, 6449, 8181, 9191, 1345, 8029, 453, 19677, 269, 14403, 17342, 316, 5897, 22592, 568, 10387, 27679, 4311, 8029, 453, 16596, 7003, 4311, 264, 2525, 271, 5897, 22592, 6449, 6352, 9191, 1345, 8029, 453, 16596, 7003, 4311, 269, 14403, 10142, 22592, 32708, 4311, 8029, 453, 453, 16386, 711, 1582, 18994, 10387, 27679, 19572, 834, 1805, 871, 568, 2506, 27679, 29177, 453, 16596, 1582, 29096, 15631, 272, 316, 5897, 22592, 1402, 4311, 8029, 453, 453, 16386, 711, 1582, 18994, 10387, 27679, 19572, 834, 1805, 871, 568, 2506, 27679, 29177, 453, 16596, 1582, 269, 14403, 21014, 31476, 22592, 7903, 4311, 267, 1239, 8029, 453, 19677, 269, 14403, 6910, 16597, 3418, 3240, 1805, 871, 284, 1805, 871, 14052, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 271, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 272, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 273, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 274, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 275, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 276, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 277, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 278, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 279, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 280, 29573, 5897, 258, 1820, 30044, 1805, 871, 21014, 3890, 3418, 258, 1820, 30044, 1805, 871, 269, 14403, 314, 279, 29573, 0, 5035, 2494, 639, 807, 24998, 2187, 453, 18851, 4147, 2494, 639, 807, 3954, 1146, 538, 529, 658, 562, 4821, 12163, 453, 651, 3385, 534, 6889, 331, 777, 541, 257, 28768, 22592, 6449, 8181, 9191, 1345, 267, 562, 4821, 2187, 453, 19677, 8542, 4821, 284, 333, 4821, 692, 22592, 579, 5115, 16988, 306, 15401, 4311, 2187, 453, 13537, 2891, 306, 15401, 267, 21601, 27495, 14307, 1582, 8542, 4821, 2020, 22592, 544, 31703, 4311, 267, 521, 2187, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 544, 31703, 14307, 1582, 4732, 994, 453, 453, 651, 3385, 534, 6889, 5287, 344, 836, 5016, 22592, 10153, 1695, 4048, 320, 4311, 267, 737, 2187, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 4234, 328, 7315, 14307, 737, 994, 453, 453, 651, 3385, 534, 6889, 331, 777, 541, 5016, 22592, 544, 1263, 531, 1731, 534, 291, 523, 1146, 291, 7699, 4311, 267, 562, 2187, 453, 16596, 562, 265, 273, 692, 5035, 10067, 12118, 11445, 263, 10048, 639, 807, 2187, 453, 18851, 25269, 11415, 585, 10067, 12118, 11445, 12163, 22592, 6449, 8181, 9191, 1345, 267, 562, 4821, 267, 562, 574, 267, 737, 7974, 267, 721, 2187, 453, 453, 18851, 18404, 1712, 538, 529, 807, 328, 538, 328, 2367, 583, 1575, 328, 1558, 1712, 538, 529, 5362, 328, 1362, 1019, 693, 553, 12163, 453, 19677, 8542, 4821, 284, 333, 4821, 454, 453, 19677, 8542, 574, 284, 333, 574, 454, 453, 19677, 21993, 7974, 284, 330, 7974, 454, 453, 19677, 269, 340, 836, 306, 27495, 284, 639, 692, 22592, 6449, 1598, 9191, 2187, 453, 453, 338, 284, 1345, 8542, 4821, 1341, 14307, 715, 8379, 834, 1341, 562, 574, 26444, 453, 453, 266, 476, 834, 269, 570, 532, 6549, 1019, 834, 266, 1582, 21993, 7974, 26444, 453, 453, 266, 476, 834, 269, 772, 836, 590, 27495, 681, 335, 834, 1341, 1598, 4311, 269, 340, 836, 306, 27495, 264, 26444, 453, 453, 266, 834, 27764, 777, 4439, 2335, 5984, 5016, 453, 16596, 521, 692, 22592, 5605, 559, 301, 4821, 4311, 2187, 453, 16596, 1582, 8542, 4821, 692, 22592, 5605, 559, 301, 574, 4311, 2187, 453, 16596, 1582, 8542, 574, 692, 22592, 5605, 559, 308, 836, 306, 27495, 4311, 2187, 453, 16596, 1582, 269, 340, 836, 306, 27495, 692, 22592, 5605, 559, 298, 7974, 307, 532, 6549, 4311, 2187, 453, 16596, 1582, 21993, 7974, 692, 22592, 544, 31703, 4311, 267, 521, 2187, 453, 453, 18851, 5450, 1712, 538, 328, 9093, 583, 1575, 328, 1558, 1712, 544, 752, 2335, 5984, 1362, 812, 639, 807, 12163, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 544, 31703, 14307, 521, 267, 834, 590, 3711, 559, 5617, 1690, 541, 5602, 453, 19677, 269, 651, 3385, 534, 8782, 5287, 344, 836, 28847, 22592, 829, 8663, 14241, 298, 7974, 307, 532, 6549, 4311, 267, 737, 7974, 21574, 340, 2187, 453, 19677, 21993, 7974, 284, 330, 7974, 21574, 340, 692, 22592, 512, 3711, 1695, 308, 836, 306, 27495, 4311, 267, 512, 3387, 327, 308, 836, 2187, 453, 14851, 1826, 6025, 3387, 327, 308, 836, 264, 568, 711, 703, 281, 6318, 28759, 2891, 10574, 4498, 639, 21850, 5602, 453, 19677, 269, 340, 836, 306, 27495, 23785, 339, 3387, 327, 308, 836, 692, 3698, 32386, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 24464, 340, 589, 680, 1731, 14515, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 314, 272, 316, 18452, 4578, 5602, 13537, 2891, 314, 273, 316, 22478, 476, 4578, 5602, 13537, 2891, 314, 271, 316, 22398, 340, 541, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 2020, 3698, 32386, 19152, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 19152, 4578, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 2020, 3698, 32386, 31171, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 31171, 4578, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 264, 28768, 30448, 340, 541, 284, 271, 454, 11907, 22561, 454, 6112, 737, 601, 340, 541, 11203, 476, 272, 912, 453, 24464, 340, 4590, 453, 5443, 340, 25507, 9272, 2891, 303, 8270, 327, 32386, 2433, 27363, 14851, 10624, 568, 476, 272, 912, 453, 13537, 19629, 333, 5602, 453, 453, 24464, 340, 19152, 4590, 453, 453, 333, 4821, 284, 1598, 9272, 2891, 301, 4821, 16875, 2433, 27363, 453, 453, 333, 574, 284, 1598, 9272, 2891, 301, 8379, 19930, 2433, 27363, 453, 453, 330, 7974, 284, 1598, 9272, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 27363, 453, 453, 340, 836, 25507, 9272, 2891, 308, 836, 521, 27495, 672, 2433, 8442, 2020, 453, 453, 11907, 284, 300, 1695, 12118, 11445, 3799, 4821, 267, 562, 574, 267, 737, 7974, 267, 579, 836, 994, 453, 453, 339, 2086, 559, 284, 1598, 9272, 2891, 10574, 7137, 13757, 559, 1019, 18452, 16988, 26142, 333, 307, 2086, 559, 16988, 630, 344, 14672, 264, 2433, 27363, 453, 14851, 512, 2086, 559, 568, 834, 344, 257, 610, 834, 312, 13426, 4848, 13537, 19629, 333, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 10574, 10067, 12118, 11445, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 301, 4821, 16875, 2433, 2580, 1239, 269, 3711, 559, 301, 4821, 15405, 4848, 13537, 2891, 301, 8379, 19930, 2433, 2580, 1239, 269, 3711, 559, 301, 574, 15405, 4848, 13537, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 2580, 1239, 269, 3711, 559, 298, 7974, 307, 532, 6549, 15405, 4848, 13537, 2891, 308, 836, 521, 27495, 672, 2433, 2580, 1239, 269, 3711, 559, 308, 836, 306, 27495, 15405, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 453, 17427, 329, 583, 284, 1598, 9272, 2891, 299, 534, 329, 583, 5358, 7790, 263, 344, 14672, 17983, 4917, 4848, 14851, 26816, 329, 583, 568, 834, 344, 13426, 15235, 453, 3269, 3269, 3269, 454, 15235, 13537, 19629, 333, 5602, 4848, 453, 19197, 26816, 329, 583, 568, 834, 333, 13426, 15235, 13537, 2891, 298, 601, 340, 541, 907, 5602, 15235, 453, 30448, 340, 541, 284, 272, 454, 453, 19197, 10624, 568, 476, 273, 912, 453, 14851, 1239, 568, 7183, 912, 4848, 13537, 2891, 14582, 636, 18452, 4578, 907, 23528, 4848, 13537, 19629, 333, 5602, 453, 13537, 19629, 333, 5602, 453, 453, 24464, 340, 31171, 4590, 453, 13537, 2891, 3633, 3951, 918, 5588, 288, 1299, 570, 4456, 10621, 295, 772, 20315, 14408, 298, 308, 5602, 453, 13537, 2891, 294, 21468, 918, 7974, 570, 532, 6549, 15854, 14826, 3674, 328, 772, 836, 521, 27495, 536, 10042, 3824, 514, 2367, 3711, 1695, 579, 836, 521, 27495, 8442, 4848, 454, 453, 453, 330, 7974, 284, 1598, 9272, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 27363, 453, 453, 340, 836, 25507, 9272, 2891, 308, 836, 521, 27495, 672, 2433, 8442, 2020, 453, 453, 11907, 269, 704, 8663, 14241, 298, 7974, 307, 532, 6549, 17347, 7974, 994, 453, 453, 11907, 6745, 3711, 1695, 308, 836, 306, 27495, 26086, 836, 994, 453, 453, 339, 2086, 559, 284, 1598, 9272, 2891, 10574, 7137, 13757, 559, 1019, 3131, 8663, 14241, 26142, 333, 307, 2086, 559, 16988, 630, 344, 14672, 264, 2433, 27363, 453, 14851, 512, 2086, 559, 568, 834, 344, 257, 610, 834, 312, 13426, 4848, 13537, 19629, 333, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 10574, 10067, 12118, 11445, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 301, 4821, 16875, 2433, 2580, 1239, 269, 3711, 559, 301, 4821, 15405, 4848, 13537, 2891, 301, 8379, 19930, 2433, 2580, 1239, 269, 3711, 559, 301, 574, 15405, 4848, 13537, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 2580, 1239, 269, 3711, 559, 298, 7974, 307, 532, 6549, 15405, 4848, 13537, 2891, 308, 836, 521, 27495, 672, 2433, 2580, 1239, 269, 3711, 559, 308, 836, 306, 27495, 15405, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 453, 17427, 329, 583, 284, 1598, 9272, 2891, 299, 534, 329, 583, 5358, 7790, 263, 344, 14672, 17983, 4917, 4848, 14851, 26816, 329, 583, 568, 834, 344, 13426, 15235, 453, 3269, 3269, 3269, 454, 15235, 13537, 19629, 333, 5602, 4848, 453, 19197, 26816, 329, 583, 568, 834, 333, 13426, 15235, 13537, 2891, 298, 601, 340, 541, 907, 5602, 15235, 453, 30448, 340, 541, 284, 272, 454, 453, 19197, 10624, 568, 476, 271, 1384, 453, 13537, 2891, 298, 601, 340, 541, 907, 23528, 453, 453, 30448, 340, 541, 284, 272 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 634, 1184, 540, 3409, 476, 274, 13296, 519, 4686, 3154, 568, 26775, 543, 519, 5916, 2604, 540, 519, 1216, 11517, 543, 519, 26775, 568, 476, 272, 547, 476, 1789, 4694, 12742, 563, 276, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 2098, 337, 273, 15281, 568, 1459, 607, 29656, 1673, 22866, 5536, 563, 277, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 1205, 614, 4496, 568, 9738, 693, 513, 2837, 540, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 563, 278, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 1205, 614, 4496, 568, 1101, 15181, 676, 8022, 621, 547, 513, 2837, 540, 476, 8517, 4113, 547, 476, 12010, 4113, 595, 585, 476, 276, 547, 476, 2004, 7643, 563, 279, 269, 634, 1184, 540, 3409, 476, 278, 13296, 519, 1205, 614, 4496, 568, 9738, 267, 1310, 11852, 267, 693, 513, 2837, 540, 476, 736, 4113, 547, 476, 10384, 4113, 595, 563, 280, 269, 589, 1184, 585, 22408, 6883, 1312, 5135, 543, 7250, 689, 1216, 11517, 1459, 538, 8098, 4869, 675, 609, 26775, 538, 513, 6046, 19720, 4492, 3693, 519, 6821, 540, 799, 616, 9112, 540, 513, 1990, 597, 935, 1756, 18585, 267, 1767, 1184, 16030, 32296, 519, 1216, 11517, 609, 513, 1205, 614, 4496, 9967, 9247, 540, 2098, 337, 273, 15281, 9738, 693, 513, 2837, 540, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 454, 3602, 514, 519, 9864, 2604, 540, 519, 1216, 568, 1447, 982, 476, 1911, 8731, 337, 3248, 3602, 514, 519, 1205, 614, 4496, 568, 5827, 540, 22408, 6883, 909, 547, 476, 276, 2597, 2600, 540, 1216, 563, 301, 13086, 19720, 4492, 2609, 616, 1134, 1634, 269, 1452, 6046, 19720, 4492, 2609, 3622, 17663, 513, 20177, 8708, 538, 519, 1106, 540, 513, 8546, 2348, 1079, 1439, 11503, 835, 693, 1142, 1439, 540, 519, 8546, 269, 634, 8546, 568, 3622, 9112, 540, 610, 568, 804, 611, 609, 1990, 597, 935, 1756, 610, 513, 1990, 597, 935, 1756, 3490, 18585, 269, 10738, 519, 12068, 3989, 676, 519, 8546, 543, 519, 1439, 11503, 616, 4092, 26005, 540, 31612, 762, 1570, 971, 607, 772, 302, 273, 269, 4438, 5106, 540, 519, 6046, 19720, 4492, 3693, 267, 1216, 267, 3622, 538, 519, 1106, 540, 1216, 11517, 267, 568, 5950, 269, 901, 1216, 11517, 23465, 609, 519, 3334, 1459, 538, 519, 8546, 609, 519, 24379, 5305, 540, 7250, 269, 25756, 568, 1634, 547, 2746, 609, 1990, 597, 935, 1756, 540, 519, 8546, 4929, 2377, 761, 25557, 799, 666, 8399, 547, 22638, 5821, 269, 769, 1931, 547, 7413, 713, 7250, 2377, 761, 25557, 621, 814, 1279, 1044, 1634, 547, 1683, 6046, 19720, 4492, 2609, 609, 513, 1205, 614, 3926, 14139, 513, 1205, 614, 4496, 2348, 513, 521, 12643, 339, 633, 4390, 585, 1216, 11517, 269, 2290, 971, 1205, 614, 4496, 568, 513, 512, 1716, 776, 18585, 540, 1990, 597, 935, 1756, 267, 24489, 267, 543, 19695, 607, 31889, 585, 1383, 538, 2136, 8003, 30171, 476, 272, 267, 24907, 267, 21172, 630, 3192, 275, 1040, 10251, 891, 512, 1716, 776, 23212, 28729, 521, 12643, 5135, 689, 519, 1216, 11517, 609, 606, 24379, 5305, 540, 7250, 269, 853, 730, 8335, 519, 512, 1716, 776, 23212, 798, 711, 521, 12643, 782, 540, 519, 5135, 543, 782, 540, 519, 7250, 1459, 538, 519, 1216, 11517, 269, 2201, 519, 824, 1688, 267, 950, 22408, 6883, 1216, 11517, 972, 568, 606, 7805, 24379, 5305, 540, 7250, 609, 513, 3702, 550, 8594, 540, 7250, 2377, 761, 25557, 540, 519, 8546, 563, 2005, 568, 4061, 606, 1843, 540, 519, 1459, 8798, 547, 1683, 606, 4824, 1205, 614, 4496, 543, 606, 4824, 6046, 19720, 4492, 3693, 15186, 1863, 540, 519, 11393, 540, 519, 1991, 1148, 563, 5194, 1843, 568, 547, 1683, 606, 4824, 1205, 614, 4496, 799, 22408, 2125, 1312, 5135, 543, 7250, 689, 1216, 11517, 563, 288, 2417, 1843, 568, 547, 1683, 606, 4824, 1205, 614, 4496, 799, 22408, 2125, 5135, 689, 1216, 11517, 1510, 519, 5305, 540, 7250, 563, 288, 1869, 2417, 1843, 540, 519, 1459, 8798, 568, 547, 1683, 606, 4824, 1505, 585, 4227, 7250, 2377, 761, 25557, 538, 6046, 19720, 4492, 2609, 563, 21953, 1776, 1843, 568, 547, 1683, 606, 4824, 6046, 19720, 4492, 3693, 14139, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 563, 21206, 3615, 543, 5383, 540, 519, 1459, 8798, 786, 581, 7805, 547, 1346, 9952, 538, 519, 1148, 676, 4704, 547, 519, 1739, 2143, 6609, 23476, 543, 5515, 13296, 912, 20983, 269, 476, 272, 568, 513, 3296, 531, 2070, 540, 513, 6046, 19720, 4492, 3693, 540, 519, 1459, 8798, 14139, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 3248, 20983, 269, 476, 273, 568, 513, 28176, 6041, 540, 519, 8047, 17102, 6964, 547, 3313, 519, 22408, 1632, 3601, 540, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 543, 540, 519, 1634, 512, 1716, 776, 23212, 3248, 20983, 269, 476, 274, 568, 513, 3113, 20515, 519, 3601, 540, 1205, 614, 8407, 540, 519, 1459, 8798, 3812, 689, 1239, 14139, 519, 17102, 540, 16658, 269, 476, 273, 563, 6097, 547, 519, 1459, 8798, 972, 568, 3177, 513, 1184, 585, 22408, 6883, 1312, 5135, 543, 7250, 689, 1216, 16030, 32296, 519, 1216, 609, 513, 1205, 614, 4496, 9967, 9247, 540, 267, 543, 23295, 9967, 540, 2098, 337, 273, 15281, 563, 763, 1216, 22408, 5523, 2687, 547, 519, 1459, 8798, 666, 581, 5277, 1216, 855, 568, 811, 1419, 1216, 11517, 269, 634, 1216, 11517, 666, 581, 519, 6852, 3154, 610, 11517, 1459, 610, 666, 581, 8098, 12089, 609, 824, 9362, 269, 27824, 9362, 971, 607, 26775, 610, 2415, 517, 616, 9053, 269, 4477, 1756, 568, 4122, 1459, 538, 6046, 19720, 4492, 2609, 269, 1306, 568, 1134, 1634, 519, 26775, 538, 513, 6046, 19720, 4492, 3693, 568, 3622, 1459, 538, 606, 2179, 971, 602, 950, 2808, 609, 519, 824, 9362, 1459, 786, 3132, 513, 2604, 540, 835, 547, 13977, 4694, 12742, 543, 23295, 476, 272, 547, 476, 736, 4694, 12742, 269, 634, 1205, 614, 4496, 540, 519, 1459, 8798, 568, 3742, 936, 513, 2647, 1216, 11517, 2604, 2039, 543, 3622, 936, 519, 1216, 11517, 2604, 2039, 4540, 1369, 6046, 19720, 4492, 2609, 543, 3622, 1447, 982, 476, 1911, 8731, 337, 563, 763, 1205, 614, 4496, 540, 519, 1459, 8798, 666, 581, 6964, 538, 1022, 2168, 1106, 855, 568, 3622, 6964, 607, 29656, 1673, 22866, 5536, 538, 1931, 547, 1683, 513, 1804, 2627, 1858, 585, 22408, 1632, 269, 634, 5536, 666, 4268, 4922, 538, 2450, 855, 3622, 616, 1063, 476, 272, 543, 476, 4968, 8020, 6425, 543, 23295, 616, 1063, 476, 272, 543, 476, 6344, 8020, 6425, 269, 634, 5536, 540, 1205, 614, 4496, 666, 581, 6964, 538, 513, 10690, 1106, 267, 22862, 5196, 513, 14041, 610, 811, 23295, 20399, 883, 513, 17396, 24338, 2527, 563, 763, 1205, 614, 4496, 540, 519, 1459, 8798, 568, 3742, 936, 513, 2647, 2837, 2039, 3622, 689, 476, 5611, 11019, 547, 476, 10384, 4113, 595, 543, 23295, 689, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 269, 1879, 519, 1205, 614, 4496, 540, 519, 1459, 8798, 814, 1044, 15181, 676, 8022, 621, 547, 2837, 540, 476, 8517, 4113, 547, 476, 12010, 4113, 595, 585, 476, 276, 547, 476, 2004, 7643, 267, 610, 693, 2539, 5210, 585, 3476, 2053, 267, 1287, 621, 568, 3742, 936, 606, 1256, 9962, 2837, 2039, 540, 476, 736, 4113, 547, 476, 10384, 4113, 595, 563, 8269, 518, 2590, 1631, 547, 519, 12400, 543, 538, 1880, 547, 16658, 269, 476, 272, 972, 568, 3254, 513, 6046, 19720, 4492, 3693, 476, 1015, 540, 519, 1459, 8798, 269, 634, 6046, 19720, 4492, 3693, 476, 1015, 13408, 513, 20177, 8708, 476, 1556, 16030, 513, 8546, 476, 1321, 883, 799, 568, 19034, 513, 1101, 1439, 1698, 476, 1724, 543, 513, 2034, 1439, 1698, 476, 1691, 269, 634, 1439, 11503, 476, 1724, 267, 476, 1691, 616, 4371, 547, 519, 8546, 476, 1321, 676, 1797, 540, 7143, 1091, 476, 1428, 267, 476, 1626, 269, 898, 568, 519, 1184, 540, 8108, 519, 7143, 1091, 476, 1428, 267, 476, 1626, 799, 4749, 646, 1846, 2127, 540, 519, 8546, 476, 1321, 11105, 547, 519, 7143, 1091, 476, 1428, 267, 476, 1626, 1437, 908, 519, 8546, 476, 1321, 543, 1818, 519, 1990, 597, 935, 1756, 1459, 538, 519, 8546, 476, 1321, 811, 32615, 547, 7250, 2377, 761, 25557, 269, 10738, 519, 8546, 476, 1321, 616, 513, 1297, 540, 26005, 476, 736, 267, 476, 2641, 267, 476, 2420, 540, 31612, 762, 1570, 971, 607, 772, 302, 273, 269, 634, 2230, 1063, 519, 26627, 25958, 10652, 2280, 476, 736, 543, 519, 1439, 1698, 476, 1724, 568, 3622, 5219, 547, 607, 519, 726, 523, 636, 476, 2190, 269, 10738, 519, 726, 523, 636, 476, 2190, 568, 513, 5614, 476, 2918, 269, 10738, 519, 5614, 476, 2918, 568, 513, 1205, 614, 3926, 476, 2764, 540, 519, 1459, 8798, 269, 17968, 519, 1205, 614, 3926, 1223, 581, 538, 519, 2990, 540, 519, 10652, 2280, 476, 736, 610, 1223, 581, 1459, 538, 513, 12424, 538, 519, 1439, 1698, 476, 1724, 563, 763, 2098, 337, 273, 15281, 538, 519, 1205, 614, 3926, 476, 2764, 568, 1459, 607, 29656, 1673, 22866, 5536, 2348, 513, 2450, 1063, 476, 272, 543, 476, 2568, 8020, 6425, 269, 634, 5536, 616, 20399, 883, 513, 17396, 24338, 2527, 269, 4438, 5106, 540, 519, 4492, 3693, 476, 1015, 519, 1205, 614, 3926, 476, 2764, 568, 3622, 9738, 693, 513, 2837, 540, 827, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 269, 769, 13076, 609, 6671, 5663, 3157, 519, 8708, 476, 1556, 568, 4904, 609, 26775, 547, 606, 6708, 971, 602, 519, 2698, 3154, 2604, 538, 519, 726, 523, 636, 476, 2190, 543, 538, 1249, 538, 519, 1964, 540, 519, 8708, 476, 1556, 568, 1063, 476, 272, 543, 476, 1789, 4694, 12742, 269, 1306, 3254, 538, 16658, 269, 476, 272, 519, 1439, 1698, 476, 1724, 568, 3177, 609, 513, 8574, 476, 3066, 799, 568, 6806, 1991, 547, 946, 540, 519, 6046, 19720, 4492, 3693, 538, 513, 6046, 19720, 563, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 273, 972, 568, 3254, 513, 1062, 476, 1789, 3730, 585, 7893, 519, 1216, 22408, 1632, 4162, 540, 1205, 614, 8407, 269, 634, 1062, 476, 1789, 568, 513, 6806, 1062, 540, 513, 1634, 4320, 543, 568, 3177, 609, 513, 2890, 3666, 476, 3953, 267, 513, 2604, 15378, 476, 4097, 267, 543, 513, 3154, 2555, 10045, 476, 3607, 971, 607, 513, 3154, 24885, 1748, 610, 513, 2527, 26563, 2678, 269, 634, 3154, 2555, 10045, 476, 3607, 568, 5248, 23534, 689, 519, 1062, 676, 513, 11896, 476, 4343, 269, 634, 1062, 476, 1789, 568, 4448, 547, 513, 12511, 6802, 476, 2412, 5248, 23534, 689, 519, 1062, 676, 513, 11896, 476, 5655, 269, 634, 1062, 476, 1789, 568, 849, 3177, 609, 513, 11896, 476, 4510, 519, 1599, 540, 799, 568, 6045, 2630, 269, 31072, 519, 1062, 476, 1789, 568, 513, 22865, 476, 5379, 602, 666, 581, 6964, 547, 2226, 519, 2837, 540, 519, 1205, 614, 3926, 476, 2764, 262, 693, 1022, 2016, 2837, 269, 634, 1062, 476, 1789, 849, 13408, 513, 8546, 476, 4366, 1369, 799, 568, 606, 2179, 540, 1216, 476, 2004, 269, 28259, 532, 519, 8546, 476, 4366, 568, 606, 4672, 543, 1216, 7848, 8602, 476, 7367, 269, 634, 2890, 28394, 766, 476, 3953, 13408, 513, 11275, 476, 7918, 3177, 609, 2842, 902, 476, 6321, 4448, 547, 606, 13525, 476, 6812, 269, 769, 5106, 607, 519, 2597, 540, 519, 1205, 614, 3926, 476, 2764, 262, 4679, 519, 13525, 476, 6812, 7727, 3606, 1699, 547, 519, 2842, 902, 476, 6321, 538, 1931, 547, 1832, 519, 3666, 11237, 476, 2568, 540, 519, 2890, 28394, 766, 476, 3953, 1377, 269, 634, 2179, 540, 1699, 6964, 568, 10736, 6475, 1227, 538, 519, 13525, 476, 6812, 543, 666, 581, 1224, 2047, 607, 519, 2597, 540, 519, 1205, 614, 3926, 476, 2764, 262, 538, 4430, 540, 519, 2597, 540, 519, 512, 732, 476, 7830, 269, 7102, 540, 519, 20749, 2139, 2890, 28394, 766, 2139, 689, 595, 23167, 6080, 6498, 540, 519, 20764, 1258, 15278, 267, 20368, 870, 267, 4993, 563, 763, 8798, 568, 2417, 11609, 676, 519, 1739, 1383, 538, 799, 782, 2694, 543, 21159, 616, 676, 2597, 8259, 6382, 8612, 269, 1452, 1875, 29438, 1746, 1806, 616, 3879, 13577, 540, 1978, 12589, 9323, 2966, 547, 4001, 1346, 9952, 538, 519, 1148, 875, 547, 2259, 519, 8798, 543, 547, 2099, 519, 1655, 7154, 14719, 730, 585, 8876, 856, 519, 8798, 563, 32715, 532, 519, 17102, 540, 16658, 269, 476, 273, 519, 4672, 8602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 3255, 6035, 676, 28928, 2686, 10593, 563, 306, 655, 7821, 3091, 2081, 547, 22717, 572, 543, 14969, 7121, 4798, 543, 5031, 11507, 883, 17946, 14975, 8513, 454, 4131, 779, 3068, 621, 267, 2890, 2987, 2617, 725, 1369, 3964, 6688, 5397, 1967, 585, 1034, 7082, 12478, 543, 2472, 269, 1452, 10124, 2154, 811, 22717, 572, 547, 1745, 28448, 8903, 563, 7093, 16227, 267, 594, 5018, 602, 5033, 7821, 3091, 513, 1259, 547, 2497, 543, 4786, 7121, 8916, 1369, 513, 2686, 2796, 269, 19024, 532, 960, 5356, 513, 1448, 540, 2070, 827, 4316, 5624, 568, 513, 4295, 10155, 540, 1022, 5647, 4674, 269, 1809, 267, 5033, 7821, 849, 3091, 519, 4316, 547, 11571, 1387, 4084, 6688, 585, 6216, 6667, 269, 22718, 1387, 4084, 6688, 3091, 1447, 4397, 2093, 267, 19310, 1080, 4195, 4030, 543, 10173, 3860, 5614, 15236, 563, 2304, 531, 4084, 6688, 616, 6216, 6688, 602, 2671, 7907, 267, 1089, 1878, 543, 1256, 10444, 11378, 269, 1280, 1383, 267, 2015, 875, 519, 1893, 540, 16134, 630, 514, 2592, 267, 1893, 543, 1374, 264, 568, 11573, 3042, 676, 2067, 1426, 12478, 269, 901, 1893, 540, 16134, 13462, 16431, 540, 19454, 547, 519, 1560, 267, 10452, 938, 2686, 4978, 827, 875, 6986, 938, 4703, 1058, 581, 269, 1452, 16431, 540, 19454, 616, 849, 5645, 998, 2960, 3249, 12478, 269, 16164, 3249, 814, 1279, 7960, 538, 29059, 609, 2067, 1426, 6216, 9479, 1107, 1312, 6688, 11884, 10210, 9479, 689, 835, 1776, 2094, 789, 2671, 713, 1482, 9759, 540, 19454, 563, 19185, 2066, 6688, 5033, 3999, 1227, 3091, 513, 6626, 26750, 689, 799, 547, 7485, 6667, 267, 543, 10741, 909, 519, 27132, 540, 2139, 4798, 547, 21176, 15407, 538, 1587, 1646, 543, 6216, 2792, 563, 17387, 14688, 267, 713, 6626, 27132, 540, 31369, 8356, 1375, 1115, 20217, 1404, 543, 17634, 1107, 519, 4999, 543, 3860, 17522, 540, 9479, 22262, 519, 4720, 540, 1007, 2495, 267, 5499, 3206, 543, 1966, 6061, 269, 898, 779, 711, 3274, 24228, 2066, 6688, 267, 855, 519, 3860, 4999, 543, 10316, 1436, 540, 9479, 602, 7436, 3020, 5647, 543, 1007, 4082, 563, 22709, 24982, 2274, 821, 14592, 713, 538, 1010, 8748, 2376, 2048, 763, 667, 3496, 10515, 281, 12054, 7821, 543, 16743, 685, 630, 306, 4822, 12054, 8438, 5623, 267, 476, 1001, 274, 264, 799, 12211, 519, 1650, 540, 519, 27208, 6808, 2941, 945, 5499, 569, 24673, 1010, 6808, 4287, 27132, 609, 7812, 12722, 7575, 547, 1711, 606, 7357, 1114, 1995, 585, 10256, 563, 4407, 31278, 5647, 1419, 19674, 689, 29227, 10616, 610, 28928, 4798, 538, 519, 7121, 267, 10124, 602, 20014, 883, 5963, 1114, 11182, 10316, 1125, 9479, 811, 4250, 8393, 267, 543, 538, 513, 1259, 602, 779, 1447, 3362, 5918, 6088, 563, 288, 1187, 1383, 540, 713, 814, 7153, 538, 7791, 1648, 269, 1133, 577, 14975, 7591, 779, 17502, 1188, 564, 568, 513, 13558, 3440, 602, 8637, 15452, 1648, 6383, 676, 1404, 269, 17502, 1188, 564, 12958, 1769, 543, 7060, 1507, 14233, 269, 898, 779, 513, 1630, 517, 547, 3384, 6082, 267, 1141, 1004, 723, 3908, 1569, 547, 513, 1379, 7470, 563, 289, 4361, 569, 267, 1169, 2460, 540, 519, 17502, 1188, 564, 267, 689, 1374, 547, 1587, 2012, 267, 5499, 569, 12388, 525, 4798, 3823, 1404, 266, 12741, 266, 1345, 14617, 266, 11391, 10062, 538, 513, 1259, 602, 2306, 519, 4276, 4195, 267, 2943, 1360, 2312, 547, 6800, 269, 1452, 4798, 616, 865, 3015, 585, 6800, 1317, 789, 2461, 2907, 8185, 11573, 3042, 538, 26922, 6688, 281, 9162, 267, 23242, 5370, 267, 2029, 543, 1648, 563, 10817, 4575, 3741, 585, 5647, 6667, 3842, 5033, 7821, 454, 4407, 519, 22759, 540, 5033, 7821, 666, 1406, 581, 4628, 6719, 1934, 267, 972, 616, 13057, 3741, 6117, 519, 960, 269, 14146, 532, 5033, 7821, 5849, 3403, 4195, 543, 3309, 2614, 547, 8300, 1256, 519, 20585, 652, 5647, 13186, 912, 268, 13760, 519, 17950, 540, 519, 7121, 1210, 513, 2686, 630, 2254, 2757, 6725, 264, 7828, 269, 1548, 779, 519, 7121, 2048, 12671, 685, 1369, 2528, 286, 1548, 779, 519, 9759, 286, 6904, 10291, 1369, 922, 12572, 5251, 630, 331, 4833, 267, 11052, 267, 17267, 267, 10444, 12205, 267, 5104, 868, 777, 657, 1431, 543, 3347, 267, 264, 3717, 547, 1883, 2686, 10256, 888, 268, 3590, 5597, 5659, 519, 8013, 1305, 543, 2686, 4798, 11573, 3042, 269, 901, 3340, 9301, 543, 7421, 5033, 8438, 3270, 2066, 513, 2407, 1560, 540, 6216, 10618, 936, 942, 267, 1519, 24502, 543, 10685, 5624, 267, 1141, 4143, 269, 4495, 519, 4786, 568, 6537, 267, 2697, 4316, 5624, 543, 28928, 2093, 563, 268, 4855, 519, 4143, 543, 15520, 22298, 1387, 4084, 12478, 11305, 20975, 269, 15952, 11305, 14394, 12746, 1132, 616, 2629, 13865, 2645, 5356, 5813, 883, 7648, 538, 3652, 540, 3009, 946, 267, 543, 4195, 12496, 540, 2686, 4798, 269, 6056, 17618, 827, 519, 2856, 540, 2048, 322, 14394, 685, 607, 1134, 269, 1280, 1383, 267, 1018, 616, 519, 19320, 1063, 1476, 30708, 543, 2442, 2575, 630, 2181, 5937, 1046, 21696, 15576, 344, 31473, 2501, 547, 2247, 25145, 268, 6733, 693, 2242, 1369, 519, 6626, 2686, 2796, 269, 1548, 616, 519, 6932, 2418, 543, 4978, 286, 1548, 666, 649, 1451, 827, 875, 12478, 2170, 609, 519, 4657, 2686, 2796, 286, 9622, 7217, 4798, 543, 2686, 10291, 949, 3717, 547, 606, 9687, 7121, 267, 689, 513, 1587, 267, 2792, 610, 7082, 2078, 5133, 563, 268, 19321, 513, 6024, 5188, 1851, 891, 1883, 2609, 2429, 519, 1184, 269, 9177, 568, 606, 2479, 19145, 3001, 3077, 563, 306, 655, 7821, 2337, 5337, 924, 5876, 543, 8300, 5499, 3206, 538, 1896, 2081, 269, 3689, 267, 5033, 7821, 23933, 11953, 3255, 4843, 676, 17568, 10616, 543, 28928, 9479, 1369, 6688, 269, 12054, 7821, 849, 2337, 721, 1174, 519, 13065, 538, 875, 28928, 2093, 616, 28078, 676, 7175, 2079, 543, 6476, 2066, 6688, 269, 769, 13031, 519, 2407, 7362, 540, 28928, 2686, 10291, 267, 5033, 8438, 960, 3376, 839, 519, 7535, 540, 3860, 2200, 547, 2721, 689, 269, 12054, 3999, 5974, 946, 519, 13057, 3741, 1657, 547, 2327, 602, 649, 2721, 689, 2686, 2200, 602, 616, 4195, 543, 3309, 563, 5629, 891, 4195, 9479, 616, 4857, 267, 519, 2619, 547, 5647, 267, 519, 2189, 4999, 543, 10316, 1436, 540, 9479, 267, 3587, 2312, 269, 769, 824, 1913, 267, 5033, 3999, 5974, 21751, 538, 6216, 5647, 899, 547, 1589, 899, 23415, 20198, 281, 14313, 616, 899, 17544, 269, 1411, 1205, 513, 7008, 543, 1451, 875, 547, 6023, 873, 267, 543, 7168, 4166, 596, 723, 513, 18797, 563, 305, 600, 7431, 10370, 976, 267, 1912, 6185, 269, 568, 513, 28479, 766, 5033, 3999, 6509, 543, 6216, 543, 2686, 4030, 11285, 1759, 538, 5842, 12770, 563, 17637, 12054, 7821, 568, 513, 2027, 2213, 1935, 602, 10905, 519, 6551, 712, 540, 1374, 2079, 609, 519, 17381, 540, 2686, 4030, 689, 5033, 7821, 5356, 5796, 593, 875, 547, 1711, 2686, 4143, 6272, 267, 607, 1134, 607, 547, 3986, 543, 2263, 6216, 1374, 1226, 885, 269, 898, 568, 9141, 676, 519, 3498, 540, 3069, 543, 2930, 1702, 17271, 547, 1374, 4543, 12478, 547, 1174, 741, 1114, 1374, 1949, 543, 3850, 873, 547, 1711, 7347, 1374, 4654, 602, 1921, 609, 6800, 543, 741, 2686, 19178, 269, 25613, 16040, 267, 621, 2337, 12478, 547, 3251, 835, 1900, 8584, 3650, 689, 741, 2344, 15712, 543, 3308, 3466, 563, 2005, 1568, 676, 26500, 519, 10058, 6106, 540, 1344, 1459, 538, 2472, 543, 10618, 799, 568, 3810, 4143, 585, 12478, 547, 581, 2111, 547, 1174, 519, 1114, 23066, 7516, 540, 1374, 2833, 269, 5071, 12054, 7821, 632, 24554, 6456, 543, 7298, 1374, 6121, 332, 1513, 602, 666, 1291, 547, 7020, 540, 3308, 2042, 543, 1174, 2472, 4514, 563, 1607, 1907, 568, 711, 1152, 3908, 547, 519, 2079, 540, 10618, 267, 621, 849, 13315, 1587, 1374, 267, 3059, 543, 8901, 2833, 607, 1134, 607, 8720, 519, 3929, 7907, 540, 1374, 543, 519, 2079, 540, 1114, 3593, 4205, 1459, 538, 1374, 3615, 269, 898, 6770, 513, 2565, 16250, 23018, 3750, 547, 519, 1374, 2079, 4543, 547, 7787, 1047, 2686, 543, 3308, 6988, 267, 6922, 2358, 29927, 267, 543, 811, 11932, 267, 2324, 607, 513, 8115, 1063, 9858, 267, 12478, 543, 6800, 269, 898, 568, 606, 1935, 602, 2337, 547, 4497, 12478, 609, 2686, 8658, 543, 741, 1114, 1374, 7516, 269, 898, 10741, 8846, 547, 2518, 543, 2199, 6216, 15961, 563, 17637, 12054, 3999, 5974, 616, 2141, 3206, 827, 519, 6935, 1063, 1106, 267, 5048, 267, 543, 10342, 267, 3226, 950, 12478, 991, 547, 1491, 741, 2709, 2066, 1114, 4529, 269, 2368, 540, 519, 2055, 938, 7218, 4043, 547, 2307, 31721, 1472, 5546, 267, 15437, 267, 2326, 267, 1462, 13132, 267, 1851, 824, 2609, 543, 875, 891, 960, 538, 6935, 547, 2504, 543, 4616, 2853, 269, 1358, 1616, 547, 917, 875, 1114, 1374, 2609, 616, 14661, 547, 513, 1808, 2686, 2796, 610, 7121, 269, 1215, 1106, 21437, 2495, 538, 513, 1808, 2528, 543, 875, 568, 621, 1114, 689, 824, 4529, 286, 3657, 1587, 6121, 332, 1513, 13988, 547, 7121, 6835, 286, 1548, 1826, 540, 1374, 4191, 616, 789, 11488, 547, 1018, 1826, 540, 6800, 286, 2107, 3274, 1174, 1946, 513, 1587, 568, 711, 2324, 689, 513, 1374, 543, 2686, 21169, 563, 17637, 12054, 7821, 607, 606, 4316, 547, 8300, 267, 3048, 622, 543, 14526, 454, 2171, 723, 1044, 1210, 5071, 12054, 7821, 607, 606, 6293, 547, 948, 12478, 547, 1174, 741, 1378, 3308, 1949, 607, 1134, 607, 547, 1683, 513, 5868, 593, 741, 1374, 2042, 269, 1284, 723, 849, 1031, 713, 1935, 547, 5033, 7821, 547, 20006, 6643, 1472, 5647, 607, 1134, 607, 4543, 12478, 547, 1118, 741, 1374, 2833, 4143, 547, 519, 1114, 6990, 789, 7500, 563, 308, 2955, 519, 1072, 540, 741, 6216, 1949, 454, 17637, 12054, 7821, 568, 3407, 547, 2697, 543, 12398, 2042, 543, 2589, 540, 3308, 791, 12053, 267, 8642, 21140, 543, 1374, 10701, 340, 885, 269, 898, 2337, 3549, 547, 723, 513, 2312, 5868, 540, 875, 741, 12478, 616, 2324, 2066, 1114, 5905, 2798, 693, 1312, 3308, 543, 2686, 2157, 563, 2171, 5249, 2063, 1032, 593, 513, 1788, 585, 513, 30883, 24207, 3703, 6216, 538, 519, 17195, 1560, 1416, 2344, 799, 729, 3168, 547, 4228, 547, 824, 6688, 543, 2477, 269, 4256, 7580, 6859, 2838, 513, 2312, 1620, 543, 4214, 540, 519, 6216, 4835, 1949, 607, 1134, 607, 1620, 875, 891, 1949, 5249, 538, 6935, 547, 519, 1523, 540, 10317, 1154, 269, 2991, 632, 24554, 532, 519, 3308, 5027, 540, 519, 6216, 267, 649, 1336, 602, 4352, 519, 6216, 729, 3810, 18931, 585, 930, 540, 922, 3308, 2609, 971, 607, 20446, 267, 11480, 5546, 543, 2326, 1031, 538, 741, 9018, 11183, 267, 972, 729, 1869, 960, 547, 581, 2944, 538, 6935, 547, 519, 4835, 1374, 4938, 629, 983, 625, 607, 891, 941, 6922, 2358, 519, 22464, 540, 519, 6216, 269, 634, 11295, 29282, 267, 5546, 543, 7990, 10659, 1031, 676, 519, 6216, 941, 3592, 9838, 547, 741, 1292, 2841, 3218, 543, 6205, 538, 519, 7121, 269, 634, 1523, 540, 10317, 1154, 729, 711, 13988, 547, 519, 1374, 3741, 540, 8856, 267, 3007, 547, 1469, 543, 2283, 3645, 640, 799, 616, 1883, 547, 7639, 1369, 519, 17195, 10126, 269, 634, 1374, 9479, 941, 17923, 519, 2856, 540, 13416, 2864, 982, 17195, 267, 17568, 519, 1587, 538, 519, 4636, 7082, 10126, 563, 2026, 513, 1267, 267, 519, 6216, 4682, 998, 513, 2048, 2193, 22135, 685, 1184, 267, 519, 11183, 1949, 941, 15428, 547, 581, 538, 6876, 609, 519, 11407, 540, 17195, 10317, 1154, 267, 630, 18034, 607, 519, 6216, 729, 3810, 2442, 538, 519, 5664, 5101, 543, 5101, 5607, 264, 543, 10685, 5905, 2798, 941, 1373, 6236, 1256, 811, 269, 634, 1114, 1374, 4030, 941, 7471, 883, 519, 1870, 547, 1217, 6216, 3961, 267, 1587, 1646, 267, 10685, 1995, 543, 3159, 540, 5639, 2066, 519, 2898, 6216, 1062, 563, 6826, 15520, 1374, 3222, 454, 29410, 1893, 568, 2141, 6956, 538, 519, 26441, 540, 2686, 7664, 269, 5071, 12054, 7821, 13462, 609, 6800, 267, 2686, 8658, 543, 2472, 3842, 519, 15865, 3889, 602, 7500, 538, 1374, 269, 634, 1259, 1114, 6800, 1472, 519, 1158, 2170, 609, 3615, 2141, 8761, 3063, 6106, 540, 1344, 269, 1635, 7114, 2199, 543, 2518, 1374, 6724, 267, 649, 18973, 538, 519, 5137, 540, 6272, 602, 14883, 547, 1699, 543, 2104, 2686, 9479, 8220, 609, 1808, 4529, 563, 25748, 267, 649, 5249, 593, 513, 1788, 585, 513, 2518, 10509, 6216, 4974, 519, 1374, 543, 2686, 10291, 540, 14167, 1145, 538, 2947, 1114, 2477, 2066, 2342, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9779, 1084, 1635, 513, 3474, 8527, 888, 2252, 3787, 1084, 676, 513, 1612, 8527, 267, 1934, 779, 1018, 596, 1058, 5612, 798, 912, 268, 3399, 676, 32092, 532, 1055, 519, 10138, 896, 4411, 7148, 1216, 269, 4329, 267, 11547, 621, 609, 513, 9543, 1884, 1047, 10364, 5277, 270, 3070, 8499, 547, 4894, 1022, 4551, 563, 268, 3767, 267, 4019, 7250, 25681, 267, 606, 936, 7308, 23716, 1884, 1047, 10364, 522, 842, 618, 267, 610, 1022, 5078, 1884, 1047, 10364, 3070, 547, 519, 2759, 269, 23560, 865, 568, 1271, 547, 2569, 1022, 1981, 540, 3968, 563, 268, 1280, 11702, 16398, 267, 4019, 9543, 2604, 609, 513, 2973, 12308, 610, 25062, 12238, 2763, 269, 1411, 1058, 849, 2119, 547, 21592, 519, 13676, 1858, 2094, 621, 786, 948, 2569, 11702, 563, 268, 4495, 519, 11702, 814, 11074, 267, 946, 513, 19703, 610, 25062, 6512, 720, 547, 3382, 519, 10138, 543, 849, 547, 1832, 621, 2973, 543, 6870, 563, 268, 5269, 2386, 596, 6895, 519, 10138, 585, 1022, 4191, 540, 3968, 269, 18554, 4191, 540, 25017, 267, 11926, 267, 14246, 267, 10669, 267, 610, 29083, 1928, 267, 543, 2390, 711, 6005, 1022, 267, 3343, 2564, 3007, 16425, 563, 268, 589, 1612, 8527, 779, 11116, 666, 581, 2620, 543, 949, 14047, 675, 519, 2960, 282, 3976, 267, 538, 1022, 971, 2013, 267, 5077, 513, 3782, 3318, 269, 4746, 267, 3914, 513, 4387, 952, 519, 10138, 2982, 4191, 540, 3968, 269, 634, 4387, 949, 21559, 11216, 610, 4363, 513, 15067, 29104, 8929, 267, 4470, 593, 519, 10335, 540, 519, 11116, 563, 14454, 267, 513, 1612, 8527, 685, 11116, 3884, 1406, 2693, 547, 14299, 1055, 707, 9416, 267, 855, 621, 666, 581, 11213, 543, 4163, 513, 1981, 540, 3968, 269, 4475, 267, 693, 1101, 267, 8164, 16042, 707, 1612, 8527, 267, 581, 3063, 18762, 269, 19627, 267, 952, 596, 723, 2907, 3893, 513, 10138, 267, 2232, 621, 12905, 543, 1318, 2685, 547, 7413, 1022, 2186, 540, 1928, 267, 3968, 267, 543, 824, 4220, 563, 17098, 267, 1703, 543, 8080, 547, 20002, 21158, 2593, 267, 568, 1934, 547, 948, 596, 1451, 543, 1416, 827, 4620, 5017, 269, 543, 713, 5816, 568, 513, 4760, 540, 3388, 594, 4076, 4121, 269, 0, 297, 6072, 568, 513, 2442, 5752, 1893, 602, 568, 1031, 538, 1082, 1114, 3156, 543, 1357, 2861, 4066, 269, 898, 568, 513, 11684, 1893, 602, 568, 2653, 547, 1451, 543, 666, 581, 1031, 585, 513, 2647, 3099, 540, 4247, 269, 5221, 540, 713, 267, 621, 568, 1898, 547, 1174, 875, 547, 946, 519, 1893, 543, 922, 1644, 2035, 267, 971, 607, 1569, 832, 543, 4573, 2209, 538, 10084, 269, 901, 2376, 786, 1683, 606, 7650, 540, 1018, 1569, 832, 543, 4573, 2209, 538, 10084, 616, 543, 1946, 789, 616, 1271, 267, 607, 1134, 607, 1413, 693, 1806, 267, 6388, 267, 5383, 267, 11393, 267, 543, 1655, 2853, 563, 29619, 540, 7457, 528, 543, 23688, 1807, 538, 10084, 454, 16966, 528, 543, 4573, 1807, 2409, 538, 10084, 616, 2027, 1982, 3252, 602, 1450, 519, 27732, 547, 13861, 1239, 3615, 269, 7457, 528, 2409, 616, 1031, 8164, 606, 1843, 6585, 513, 1871, 630, 7945, 607, 606, 3236, 4756, 1070, 543, 616, 2966, 547, 23074, 2418, 689, 606, 1843, 269, 23688, 1807, 2409, 616, 1031, 547, 1689, 519, 1871, 538, 606, 1843, 267, 585, 1383, 676, 4259, 513, 1007, 1871, 585, 606, 3236, 4756, 563, 16966, 528, 543, 4573, 1807, 2409, 616, 1271, 585, 4180, 602, 1239, 568, 5265, 7307, 543, 6870, 269, 1635, 1210, 1569, 528, 543, 4573, 1807, 2409, 267, 519, 27732, 666, 1852, 875, 1239, 568, 15600, 543, 9168, 267, 543, 666, 2327, 602, 1239, 568, 711, 18348, 539, 610, 4503, 269, 3958, 267, 1569, 528, 543, 4573, 1807, 2409, 666, 581, 1031, 547, 1711, 513, 811, 5150, 5752, 1604, 267, 607, 789, 666, 581, 1031, 547, 6615, 1569, 547, 1978, 1239, 3615, 563, 1432, 568, 606, 7457, 528, 6396, 888, 2304, 1569, 528, 1505, 267, 849, 1634, 607, 513, 1205, 614, 1505, 267, 568, 1031, 547, 1569, 606, 1843, 779, 3236, 4756, 2047, 689, 519, 3009, 269, 901, 666, 581, 2944, 676, 10912, 513, 1505, 602, 568, 2966, 547, 2132, 1978, 2418, 689, 519, 1843, 269, 13575, 267, 1569, 528, 2409, 616, 3957, 4358, 609, 968, 1326, 5608, 971, 607, 968, 1326, 11243, 3890, 5608, 968, 1326, 21848, 3890, 5608, 543, 865, 593, 269, 7457, 528, 2409, 666, 581, 1031, 547, 23074, 1344, 602, 568, 711, 7298, 538, 519, 2707, 3009, 267, 2495, 602, 519, 2418, 540, 519, 3236, 4632, 3112, 581, 2047, 15600, 1510, 1210, 606, 1569, 528, 1505, 563, 16966, 528, 2409, 616, 849, 1031, 547, 2149, 519, 1239, 6740, 538, 606, 1843, 269, 1635, 1210, 1569, 528, 2409, 267, 519, 1239, 6740, 538, 606, 1843, 666, 581, 6854, 4357, 543, 5150, 267, 607, 519, 2418, 540, 519, 3236, 4632, 666, 1152, 581, 15600, 998, 519, 1569, 528, 2409, 269, 901, 5849, 602, 519, 1239, 6740, 538, 606, 1843, 568, 711, 9168, 610, 15600, 1510, 10479, 563, 1432, 568, 513, 23688, 1807, 6396, 888, 288, 4573, 1807, 1505, 568, 519, 6587, 540, 606, 1569, 528, 1505, 538, 602, 621, 2242, 610, 5036, 519, 2418, 540, 3236, 4632, 269, 901, 666, 581, 2944, 676, 17034, 519, 1505, 2047, 689, 519, 3009, 267, 543, 8429, 538, 513, 1007, 1871, 585, 519, 3236, 4756, 269, 13575, 267, 4573, 1807, 2409, 616, 3957, 4358, 609, 968, 3553, 5608, 971, 607, 968, 3553, 11243, 3890, 5608, 968, 3553, 21848, 3890, 5608, 543, 865, 593, 269, 23688, 1807, 2409, 1450, 519, 27732, 547, 1689, 519, 1871, 540, 606, 3236, 4756, 1510, 2965, 22212, 519, 3009, 3294, 563, 300, 583, 1807, 2409, 616, 3730, 585, 1818, 2242, 547, 606, 1843, 1510, 2348, 547, 27682, 519, 3003, 3009, 269, 1280, 1383, 267, 952, 513, 27732, 6499, 547, 1689, 519, 2012, 540, 606, 1843, 267, 789, 666, 946, 513, 4573, 1807, 1505, 547, 798, 865, 1510, 2348, 547, 27682, 519, 3003, 3009, 269, 901, 2306, 621, 4443, 547, 1118, 2242, 547, 606, 1843, 1510, 2348, 547, 979, 998, 519, 3003, 3009, 19668, 563, 26794, 543, 32539, 540, 7457, 832, 543, 23688, 2209, 454, 16966, 832, 543, 4573, 2209, 2709, 513, 2039, 540, 5383, 543, 11393, 269, 1280, 1383, 267, 1569, 528, 2409, 2709, 4824, 20206, 1637, 267, 2495, 1239, 3615, 666, 581, 9678, 689, 5007, 7506, 267, 1247, 3850, 824, 2694, 540, 519, 3498, 547, 2170, 609, 873, 14013, 269, 6684, 267, 4573, 1807, 2409, 1450, 3009, 1369, 606, 3498, 547, 581, 4957, 1510, 2047, 22212, 519, 2707, 3009, 3294, 269, 1717, 267, 972, 616, 849, 930, 19363, 547, 1210, 1569, 528, 543, 4573, 1807, 2409, 267, 1034, 16113, 519, 7872, 540, 519, 1871, 1373, 26203, 27235, 269, 3958, 267, 930, 949, 1265, 519, 3009, 811, 2352, 547, 1224, 952, 1569, 832, 543, 4573, 2209, 616, 8185, 1031, 563, 5194, 19319, 540, 1569, 832, 543, 4573, 2209, 568, 602, 789, 666, 1039, 6988, 547, 519, 3009, 19668, 267, 607, 789, 2154, 3606, 2409, 547, 581, 2854, 543, 9738, 269, 901, 666, 1291, 547, 513, 3677, 3009, 19668, 267, 799, 666, 581, 2352, 547, 4383, 543, 3181, 1872, 269, 3958, 267, 1569, 832, 543, 4573, 2209, 666, 849, 1291, 547, 2773, 2152, 267, 607, 789, 2154, 3606, 4393, 942, 547, 14892, 269, 4475, 267, 621, 568, 1271, 547, 2015, 519, 4123, 32187, 1063, 519, 5383, 543, 11393, 540, 1569, 832, 543, 4573, 2209, 950, 14045, 2436, 547, 946, 873, 538, 606, 3498, 563, 25363, 13586, 7457, 832, 543, 23688, 2209, 538, 10084, 454, 16966, 832, 543, 4573, 2209, 666, 581, 8045, 1210, 519, 1857, 543, 4357, 17161, 538, 10084, 269, 5398, 2409, 666, 581, 1572, 9170, 1369, 513, 1982, 267, 1247, 4357, 2409, 666, 1152, 581, 1572, 1369, 741, 1378, 1362, 610, 1369, 513, 1016, 11665, 269, 901, 5849, 602, 1152, 1978, 2694, 540, 519, 1982, 666, 1118, 2242, 547, 610, 23074, 2418, 689, 606, 1843, 269, 3958, 267, 6724, 666, 581, 1031, 547, 1780, 1114, 2418, 883, 606, 1569, 528, 610, 4573, 1807, 1505, 563, 16966, 832, 543, 4573, 2209, 666, 849, 581, 1031, 547, 1711, 1205, 614, 543, 1305, 614, 2409, 269, 5192, 614, 2409, 616, 1031, 547, 23074, 2418, 689, 606, 1843, 267, 1247, 1305, 614, 2409, 616, 1031, 547, 1305, 2418, 585, 606, 1843, 269, 1452, 2409, 616, 1419, 1031, 547, 2327, 602, 1239, 568, 5265, 24019, 1354, 621, 568, 1305, 610, 27366, 269, 1635, 1210, 1569, 832, 543, 4573, 2209, 267, 9367, 666, 1711, 811, 5150, 543, 6325, 3292, 563, 14300, 540, 7457, 528, 543, 23688, 1807, 10613, 538, 10084, 454, 2304, 1383, 540, 606, 1569, 528, 1505, 1131, 581, 513, 1505, 1572, 968, 1326, 11243, 3890, 5608, 799, 7024, 519, 1871, 6740, 538, 606, 3236, 4756, 1572, 968, 4067, 6100, 6684, 267, 606, 1383, 540, 513, 4573, 1807, 1505, 1131, 581, 513, 1505, 1572, 968, 3553, 11243, 263, 21803, 2012, 264, 5608, 799, 5036, 519, 1843, 779, 2012, 547, 519, 21642, 5293, 607, 513, 9936, 269, 6271, 1383, 540, 513, 4573, 1807, 1505, 1131, 581, 968, 27463, 848, 21848, 3890, 5608, 799, 4679, 606, 1843, 779, 2085, 676, 835, 563, 16966, 528, 543, 4573, 1807, 2409, 616, 1271, 585, 20206, 1637, 267, 799, 568, 513, 1883, 1523, 538, 1843, 15129, 5752, 269, 7402, 2355, 1637, 2636, 585, 1239, 547, 581, 6456, 689, 519, 3544, 1158, 267, 543, 1152, 15600, 998, 519, 946, 540, 1569, 528, 543, 4573, 1807, 2409, 269, 901, 2337, 547, 2327, 602, 1239, 568, 711, 9168, 538, 6397, 2081, 267, 543, 602, 519, 1239, 568, 2141, 538, 513, 4570, 1533, 563, 16032, 13756, 585, 4635, 7457, 832, 543, 23688, 2209, 538, 10084, 454, 2691, 1210, 1569, 832, 543, 4573, 2209, 538, 10084, 267, 972, 616, 1896, 1655, 2853, 602, 1058, 581, 4553, 269, 17616, 267, 1569, 832, 1058, 581, 1031, 8164, 2009, 2094, 789, 616, 811, 5150, 982, 4573, 2209, 269, 3958, 267, 950, 2870, 1569, 832, 543, 4573, 2209, 2057, 1210, 20438, 968, 1326, 892, 610, 968, 3553, 892, 538, 741, 4408, 267, 607, 713, 666, 581, 14845, 269, 898, 568, 849, 1271, 547, 2327, 602, 782, 2409, 723, 3617, 1569, 2157, 630, 21504, 610, 4357, 264, 865, 602, 789, 666, 1152, 581, 1572, 676, 519, 3009, 602, 1058, 581, 269, 7053, 267, 950, 2870, 1569, 528, 610, 4573, 1807, 2409, 621, 568, 1271, 547, 3314, 547, 1711, 873, 25144, 2066, 782, 3615, 267, 865, 602, 519, 1482, 1344, 666, 581, 15600, 610, 9168, 3362, 563, 2005, 568, 849, 1271, 547, 2327, 602, 1569, 832, 543, 4573, 2209, 616, 5265, 13006, 267, 865, 602, 824, 9367, 666, 1174, 875, 547, 946, 873, 269, 3958, 267, 950, 2870, 1569, 832, 543, 4573, 2209, 267, 621, 568, 1271, 547, 2015, 519, 2773, 6286, 540, 519, 3009, 267, 607, 713, 666, 723, 513, 1713, 1764, 593, 519, 2949, 2773, 540, 519, 3498, 563, 16966, 832, 543, 4573, 2209, 538, 10084, 616, 1898, 585, 22392, 1239, 3615, 538, 513, 6417, 543, 5150, 1259, 269, 1635, 1620, 1018, 1569, 832, 543, 4573, 2209, 616, 543, 875, 547, 946, 873, 14013, 267, 9367, 666, 2327, 741, 3009, 568, 2922, 543, 5150, 267, 607, 1134, 607, 4443, 547, 1224, 269, 1306, 609, 782, 5752, 4247, 267, 621, 568, 1271, 547, 946, 1655, 2853, 950, 9001, 1569, 832, 543, 4573, 2209, 538, 10084, 269, 0, 20245, 8177, 10495, 19120, 5874, 693, 5800, 984, 10314, 4659, 454, 20458, 1689, 543, 2518, 8337, 616, 796, 28300, 762, 3584, 538, 2221, 781, 1158, 269, 1358, 2811, 1932, 1804, 547, 1589, 827, 538, 938, 1554, 3562, 6377, 2729, 855, 602, 3085, 1405, 1611, 789, 2811, 711, 2348, 513, 3395, 1764, 593, 938, 1554, 3562, 6377, 2729, 269, 901, 568, 2523, 519, 2013, 585, 3549, 945, 666, 5732, 1764, 519, 1604, 1472, 873, 563, 5591, 1367, 610, 1100, 1367, 2754, 568, 2469, 547, 4194, 2518, 8337, 269, 898, 781, 513, 12550, 7400, 3390, 602, 1131, 991, 519, 2898, 1158, 547, 1491, 513, 2490, 538, 519, 1318, 4287, 563, 3719, 1169, 2754, 2115, 547, 2232, 519, 1604, 593, 513, 2890, 1377, 563, 31323, 6042, 723, 1044, 2919, 936, 5756, 547, 2149, 938, 2067, 2200, 269, 14992, 616, 2838, 547, 581, 5360, 5050, 609, 9167, 6042, 547, 2057, 22717, 267, 19479, 610, 7803, 18659, 269, 634, 9167, 814, 2919, 930, 540, 519, 1158, 781, 5207, 2825, 4441, 543, 519, 9167, 10243, 585, 519, 1604, 13327, 525, 782, 2229, 21445, 7939, 538, 1142, 540, 922, 1367, 2477, 563, 1103 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 3807, 607, 3197, 12582, 1406, 581, 22350, 1434, 267, 17127, 11338, 13187, 602, 789, 12582, 1406, 581, 22350, 3983, 269, 589, 3811, 6648, 9060, 513, 1259, 547, 1118, 1256, 3983, 3197, 1413, 1434, 267, 17127, 3081, 267, 855, 789, 12582, 1406, 581, 865, 1434, 607, 547, 581, 5579, 9476, 1043, 269, 4658, 616, 10355, 782, 1434, 543, 865, 31552, 789, 616, 3884, 1406, 1825, 15344, 282, 2705, 267, 513, 1915, 1590, 333, 1406, 581, 782, 3983, 2901, 269, 589, 3811, 16471, 540, 1434, 543, 3983, 7592, 538, 1915, 267, 17127, 13187, 267, 666, 581, 1336, 538, 25264, 779, 31456, 267, 945, 19754, 670, 10725, 538, 519, 594, 2993, 611, 855, 568, 1869, 13269, 607, 513, 1434, 1268, 269, 769, 31456, 267, 972, 568, 3666, 540, 1434, 543, 3983, 1915, 7592, 267, 799, 568, 1018, 2306, 1010, 2669, 693, 519, 1439, 540, 519, 594, 2993, 611, 13249, 563, 288, 2077, 13444, 849, 11828, 519, 5057, 2694, 540, 546, 2109, 267, 799, 2882, 17205, 543, 13450, 267, 543, 646, 13187, 602, 513, 3811, 6648, 9060, 3666, 538, 922, 946, 540, 546, 2109, 607, 1134, 269, 634, 1034, 1271, 3364, 827, 546, 2109, 267, 17127, 3081, 267, 568, 9355, 267, 543, 519, 1579, 11732, 1913, 616, 1346, 602, 616, 538, 7928, 946, 543, 1455, 10009, 269, 17127, 733, 1742, 602, 2312, 1913, 799, 616, 3362, 6956, 616, 1655, 538, 6965, 267, 3177, 741, 946, 1281, 711, 1267, 538, 513, 968, 29754, 540, 15683, 1848, 4635, 1152, 1455, 1913, 538, 513, 6648, 568, 796, 13092, 543, 538, 691, 2065, 269, 4935, 267, 513, 6648, 1590, 1265, 3666, 1063, 1455, 1913, 543, 1018, 17127, 7125, 968, 1410, 5328, 7215, 1848, 4340, 547, 17127, 267, 968, 1410, 5328, 7215, 892, 616, 1346, 1913, 711, 538, 1455, 6165, 269, 6270, 968, 1410, 5328, 7215, 892, 949, 581, 538, 1455, 946, 11992, 267, 610, 789, 949, 581, 22579, 4481, 676, 519, 10564, 269, 968, 2750, 5328, 7215, 892, 666, 581, 2813, 1498, 561, 1263, 28517, 543, 519, 1840, 540, 24008, 610, 24424, 267, 610, 998, 2110, 2287, 543, 519, 8851, 540, 24008, 610, 24424, 269, 1717, 267, 3007, 547, 3666, 568, 1586, 2838, 538, 546, 2109, 267, 543, 1932, 1082, 968, 1410, 5328, 7215, 892, 666, 11904, 513, 6648, 20060, 1619, 269, 6271, 1106, 540, 968, 1410, 5328, 7215, 892, 568, 519, 946, 540, 14165, 267, 799, 568, 513, 10902, 4294, 547, 1945, 3116, 269, 1280, 17127, 267, 1434, 946, 540, 14165, 568, 519, 1665, 540, 513, 2067, 10564, 543, 666, 24320, 1047, 1022, 1297, 540, 19621, 6959, 282, 2705, 267, 519, 946, 540, 14165, 4805, 1281, 711, 1118, 513, 3811, 6648, 2901, 269, 589, 1434, 6648, 2306, 946, 540, 782, 2694, 540, 546, 2109, 267, 1519, 14165, 543, 824, 1875, 268, 20598, 1913, 269, 634, 16471, 540, 968, 1410, 5328, 7215, 892, 543, 1455, 1913, 568, 2629, 538, 513, 3811, 6648, 865, 602, 621, 568, 1312, 24669, 543, 19278, 563, 763, 991, 585, 3666, 568, 6965, 568, 849, 2938, 538, 17127, 779, 7778, 540, 9588, 543, 9322, 269, 13804, 3363, 568, 513, 13357, 779, 2702, 547, 3132, 22035, 7321, 543, 4898, 267, 855, 713, 9588, 1590, 581, 2687, 547, 13766, 610, 5506, 267, 543, 519, 13357, 1590, 723, 9322, 269, 1677, 723, 9322, 267, 513, 13249, 4729, 1590, 723, 513, 17386, 4098, 267, 1647, 267, 543, 1439, 267, 543, 621, 12582, 1406, 581, 865, 1804, 602, 621, 666, 1406, 581, 11593, 4371, 538, 835, 779, 3965, 269, 769, 824, 1913, 267, 513, 13357, 2115, 3666, 1063, 9588, 543, 9322, 267, 543, 621, 12582, 1406, 581, 607, 2462, 543, 27314, 607, 547, 7519, 9322, 610, 581, 5579, 9476, 1043, 269, 1280, 17127, 267, 513, 10747, 4183, 540, 6965, 568, 3666, 267, 543, 713, 3666, 568, 8449, 1271, 538, 782, 540, 513, 6648, 779, 5057, 2694, 563, 15253, 9426, 20668, 543, 18696, 27484, 9199, 14982, 454, 15253, 9426, 20668, 543, 18696, 30365, 538, 7313, 7497, 454, 4131, 721, 1865, 519, 1148, 540, 6965, 538, 2489, 543, 922, 2249, 9789, 1198, 799, 1142, 2249, 540, 6965, 814, 543, 519, 2953, 1259, 547, 4020, 13602, 952, 519, 5888, 568, 547, 581, 540, 1164, 2298, 267, 607, 1134, 607, 519, 1297, 543, 2470, 540, 922, 5057, 2694, 267, 543, 1022, 824, 2055, 602, 8451, 1369, 519, 1482, 2361, 540, 679, 11431, 269, 1284, 1058, 2253, 267, 607, 621, 2067, 267, 676, 2921, 1101, 3741, 1101, 563, 9199, 3022, 344, 568, 606, 32649, 540, 606, 2962, 602, 568, 8098, 10928, 267, 2347, 543, 19299, 9588, 282, 538, 1893, 1500, 5418, 553, 9092, 267, 1142, 540, 922, 2249, 9674, 538, 1114, 2694, 282, 5340, 676, 11051, 267, 711, 998, 32538, 282, 1198, 532, 998, 533, 640, 543, 4250, 519, 22729, 540, 971, 4664, 563, 263, 3528, 968, 331, 4833, 1500, 5418, 553, 9092, 892, 594, 1611, 602, 799, 19299, 11733, 543, 23260, 267, 1775, 4318, 269, 5152, 269, 1635, 519, 9668, 540, 922, 2249, 594, 1611, 602, 930, 2694, 616, 7768, 538, 14235, 4805, 282, 1866, 676, 4334, 1118, 946, 540, 5152, 8094, 3383, 13357, 607, 513, 2898, 8209, 814, 3670, 5057, 2694, 267, 799, 3313, 519, 13357, 779, 2298, 269, 634, 5420, 540, 32649, 13408, 1079, 2694, 267, 519, 7154, 835, 267, 543, 1843, 1614, 282, 543, 972, 568, 4986, 6306, 689, 891, 563, 9199, 3022, 344, 568, 711, 606, 32649, 540, 7606, 267, 855, 540, 3527, 543, 540, 1272, 269, 4270, 5630, 543, 2192, 5630, 21078, 538, 3527, 267, 543, 519, 3804, 540, 1272, 568, 606, 2534, 267, 711, 513, 2298, 282, 1004, 4865, 1978, 7907, 538, 13076, 609, 741, 1915, 267, 855, 789, 3035, 1134, 5630, 610, 922, 6587, 593, 519, 4493, 540, 875, 789, 24214, 269, 1924, 519, 32649, 540, 513, 1915, 568, 711, 519, 3483, 540, 1018, 519, 8069, 798, 282, 1915, 568, 3769, 2059, 609, 543, 593, 2272, 540, 519, 3527, 269, 1924, 519, 2621, 267, 1775, 4318, 269, 519, 4729, 267, 616, 1018, 13357, 568, 972, 585, 267, 543, 602, 568, 519, 1034, 1271, 3364, 540, 782, 563, 12179, 4190, 1843, 267, 2436, 513, 2713, 11248, 610, 1022, 824, 11769, 7768, 540, 2694, 267, 1590, 711, 1152, 4865, 1346, 2694, 538, 1697, 1931, 267, 855, 922, 9588, 849, 1058, 711, 581, 17062, 282, 5898, 5161, 538, 9588, 607, 1134, 607, 1931, 269, 1280, 713, 2601, 1100, 11248, 1223, 581, 4190, 952, 621, 568, 23494, 1507, 630, 26238, 8343, 3587, 11821, 607, 621, 2501, 2673, 547, 2348, 1100, 829, 1061, 1043, 8653, 538, 942, 264, 610, 23494, 1804, 630, 26238, 519, 8343, 568, 1287, 711, 21800, 267, 543, 519, 24319, 1265, 602, 519, 2631, 540, 9322, 543, 627, 565, 8864, 568, 4503, 689, 519, 8343, 267, 552, 3052, 269, 952, 972, 941, 606, 3662, 513, 8536, 5195, 1279, 1040, 1924, 1175, 607, 538, 519, 2013, 540, 2168, 3615, 543, 2713, 7103, 267, 789, 1058, 4865, 513, 1978, 9588, 267, 543, 713, 1058, 581, 971, 607, 666, 11593, 581, 3144, 538, 693, 835, 2070, 267, 865, 538, 519, 2013, 540, 13602, 281, 789, 1058, 723, 513, 1978, 3259, 267, 543, 713, 1058, 581, 971, 607, 666, 11593, 581, 4371, 538, 3965, 563, 2005, 568, 849, 2312, 689, 1018, 814, 1044, 1767, 602, 519, 1599, 540, 519, 10564, 568, 711, 2161, 1018, 814, 5949, 267, 855, 547, 2161, 519, 2186, 540, 3364, 602, 1131, 4755, 267, 1775, 4318, 269, 1018, 568, 2009, 538, 13076, 609, 5506, 610, 13766, 269, 634, 14787, 543, 519, 10564, 616, 711, 13747, 676, 741, 946, 540, 14235, 610, 18340, 282, 621, 1131, 581, 2009, 547, 2490, 519, 1568, 540, 4173, 617, 582, 639, 883, 14235, 267, 543, 621, 1131, 581, 513, 1686, 538, 14235, 1175, 607, 1454, 607, 538, 18340, 269, 634, 11984, 568, 713, 281, 519, 835, 3081, 1018, 814, 5949, 267, 519, 824, 519, 2186, 540, 3364, 602, 1131, 4755, 563, 3383, 972, 616, 891, 1079, 2694, 540, 519, 4729, 1765, 516, 951, 531, 543, 6284, 282, 513, 3791, 568, 7092, 269, 2986, 891, 267, 30729, 543, 6284, 723, 2907, 1044, 5941, 282, 7092, 568, 606, 2962, 602, 3322, 9552, 610, 1928, 630, 324, 3052, 269, 7972, 538, 2407, 2070, 267, 3665, 989, 3415, 267, 10138, 902, 543, 865, 593, 1916, 763, 4070, 540, 519, 1655, 13357, 1058, 581, 1950, 2864, 982, 2241, 282, 543, 621, 1058, 849, 581, 606, 32649, 540, 2621, 602, 18427, 4250, 543, 533, 640, 267, 2094, 602, 568, 519, 10058, 4183, 540, 713, 2186, 540, 32649, 269, 1924, 621, 568, 2312, 1101, 540, 782, 602, 22510, 2367, 1058, 711, 581, 2938, 18460, 513, 1689, 689, 1434, 19539, 547, 3983, 19539, 1765, 10472, 1281, 711, 18427, 4250, 610, 533, 640, 267, 855, 29832, 755, 269, 7439, 1058, 1244, 571, 1386, 1004, 581, 2938, 18460, 513, 1689, 689, 3983, 19539, 547, 1434, 19539, 1765, 10472, 568, 519, 2547, 13249, 540, 782, 281, 621, 814, 9039, 540, 519, 1318, 2360, 267, 2094, 621, 9444, 3858, 762, 267, 6862, 1281, 621, 18427, 533, 640, 610, 4250, 269, 7439, 1586, 1058, 513, 1360, 29063, 1268, 2887, 689, 1434, 19539, 547, 3983, 19539, 20196, 2186, 540, 2497, 1131, 581, 3858, 762, 267, 855, 1131, 711, 10161, 533, 640, 610, 4250, 267, 2094, 519, 835, 814, 547, 798, 609, 2576, 945, 568, 7092, 19888, 5703, 569, 267, 519, 824, 609, 2576, 945, 568, 899, 6000, 630, 296, 1611, 267, 533, 640, 814, 547, 798, 609, 519, 9207, 6326, 3411, 19907, 267, 4250, 609, 519, 1268, 899, 721, 5148, 865, 1018, 4523, 786, 18427, 9444, 533, 640, 6862, 4250, 563, 2171, 616, 2451, 267, 4061, 267, 609, 519, 1268, 13591, 1063, 891, 269, 901, 568, 519, 4990, 540, 1268, 945, 568, 711, 14222, 538, 5837, 17284, 610, 5126, 282, 593, 519, 824, 1688, 267, 519, 1689, 540, 3983, 19539, 799, 646, 25457, 568, 711, 1813, 547, 1022, 5837, 8919, 610, 1244, 571, 6143, 267, 855, 547, 606, 5470, 540, 930, 2186, 269, 1261, 568, 835, 540, 1346, 1004, 945, 616, 4371, 538, 1390, 22644, 543, 2972, 1390, 1434, 19539, 267, 899, 32084, 267, 774, 344, 652, 525, 267, 543, 13747, 2367, 689, 602, 2186, 540, 1920, 563, 2005, 568, 2009, 585, 519, 859, 6327, 540, 4250, 543, 533, 640, 547, 1267, 689, 519, 4715, 12386, 267, 543, 849, 689, 519, 2497, 540, 2621, 3294, 269, 634, 8545, 568, 30074, 543, 568, 519, 1665, 540, 513, 1732, 10564, 269, 634, 4729, 1058, 581, 9112, 538, 971, 513, 1259, 602, 267, 1256, 1510, 7487, 621, 267, 4896, 945, 30650, 519, 2621, 799, 2049, 695, 3291, 619, 543, 7959, 533, 640, 693, 1018, 4523, 282, 713, 875, 2576, 1131, 2746, 593, 6217, 519, 4729, 540, 519, 32084, 269, 21277, 1424, 713, 1198, 998, 4715, 12386, 568, 1447, 7499, 267, 543, 568, 8200, 593, 519, 2504, 269, 8409, 945, 946, 4715, 12386, 547, 3132, 606, 1198, 799, 568, 711, 859, 25607, 540, 4250, 267, 855, 3274, 1395, 560, 9317, 267, 723, 4986, 547, 798, 609, 13357, 282, 835, 1058, 711, 3343, 1169, 12257, 689, 13357, 267, 855, 519, 835, 602, 568, 8984, 540, 621, 269, 1656, 2094, 519, 10564, 1058, 3132, 519, 12257, 799, 2501, 689, 533, 640, 543, 4250, 267, 543, 1058, 798, 865, 676, 1797, 540, 32649, 267, 5693, 713, 1590, 581, 4547, 827, 538, 519, 2621, 563, 18154, 3598, 569, 267, 4061, 267, 519, 21368, 540, 13602, 1058, 849, 2097, 827, 689, 519, 4729, 3294, 267, 543, 711, 676, 1797, 540, 513, 26974, 3740, 3926, 267, 607, 538, 519, 2405, 20660, 267, 610, 519, 2621, 7255, 609, 519, 22745, 540, 519, 9635, 538, 519, 594, 2993, 611, 269, 589, 26974, 3740, 3926, 949, 581, 1031, 585, 1919, 3544, 519, 1404, 1765, 31347, 1991, 2621, 799, 616, 3564, 1480, 1702, 267, 610, 7766, 2621, 799, 991, 12605, 543, 32538, 2094, 649, 9886, 602, 519, 10971, 666, 1294, 3388, 269, 1809, 972, 1058, 581, 4986, 19450, 538, 519, 2621, 2933, 282, 610, 267, 17528, 602, 267, 621, 1058, 581, 3544, 519, 1404, 267, 607, 585, 1383, 538, 20153, 28965, 779, 32084, 8094, 7712, 13357, 568, 606, 32649, 540, 1004, 1732, 982, 649, 616, 267, 835, 1058, 708, 10028, 1434, 17855, 1790, 664, 1562, 269, 769, 17021, 519, 1367, 1106, 267, 789, 5862, 1004, 607, 789, 616, 267, 855, 1118, 873, 1732, 23302, 269, 769, 519, 1482, 1259, 519, 10564, 945, 568, 708, 23550, 1004, 945, 616, 3352, 2444, 1043, 610, 27823, 610, 945, 723, 824, 7592, 540, 1915, 540, 602, 4990, 1058, 9446, 873, 607, 2348 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 707, 1378, 3211, 899, 713, 835, 609, 12808, 7223, 476, 273, 269, 769, 1931, 547, 4194, 891, 4834, 649, 1590, 917, 17969, 916, 543, 875, 547, 946, 873, 609, 20800, 2747, 780, 303, 514, 2201, 15026, 4065, 8018, 16574, 919, 692, 22091, 11228, 12307, 700, 9554, 11314, 4400, 3427, 4569, 7689, 12697, 4400, 3427, 4569, 16497, 5890, 11228, 692, 19868, 15162, 332, 16296, 12358, 3626, 525, 9752, 10789, 10789, 4569, 3427, 692, 306, 6295, 5890, 11228, 12307, 1635, 4635, 8298, 15162, 916, 4065, 4569, 12307, 5890, 11228, 692, 306, 6295, 5890, 11228, 12307, 2060, 744, 9536, 5890, 7859, 10789, 14572, 12307, 7101, 673, 12307, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 10789, 476, 273, 6096, 8298, 15162, 6193, 12793, 10789, 692, 19868, 15162, 916, 6096, 6096, 15026, 4569, 6096, 28518, 25285, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 5890, 11228, 10789, 476, 273, 6096, 5890, 11228, 12793, 692, 306, 6295, 5890, 11228, 1656, 8298, 15162, 6193, 12307, 6096, 12307, 4569, 4813, 10358, 5441, 10789, 692, 11854, 539, 25441, 2060, 8298, 15162, 916, 8298, 15162, 6193, 12793, 2776, 20412, 639, 9752, 10789, 692, 22091, 11228, 1656, 8298, 15162, 6193, 12793, 8298, 15162, 6193, 12793, 5890, 11228, 12793, 5890, 11228, 692, 11749, 20634, 590, 4303, 4569, 5890, 11228, 12307, 12307, 5890, 11228, 4569, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 10789, 476, 273, 6096, 5890, 11228, 12793, 26344, 5852, 6096, 692, 303, 514, 2201, 4569, 692, 19868, 15162, 6193, 12307, 631, 10270, 5131, 29560, 9119, 6096, 9752, 10789, 10789, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 769, 2091, 12793, 10789, 476, 273, 6096, 12793, 10789, 692, 1607, 14572, 5890, 11228, 12307, 631, 10270, 14348, 2142, 634, 17828, 11314, 1280, 3733, 10789, 4841, 14572, 28065, 12307, 5890, 11228, 9119, 6096, 692, 19868, 15162, 6193, 12793, 8298, 15162, 6193, 12793, 4569, 11872, 14572, 12430, 12307, 0, 18704, 454, 18439, 11020, 22709, 692, 9288, 2559, 923, 281, 10907, 5120, 566, 540, 13999, 593, 5102, 2917, 267, 10047, 540, 11425, 692, 763, 1101, 2243, 3322, 606, 693, 6229, 3684, 267, 519, 2034, 3322, 1079, 1114, 22203, 7923, 547, 31963, 9991, 270, 8527, 908, 547, 519, 2666, 780, 8450, 519, 795, 701, 326, 585, 3169, 2055, 269, 634, 1257, 568, 3177, 2630, 3274, 585, 519, 4324, 540, 519, 3406, 2599, 1384, 4263, 6229, 10724, 692, 288, 11508, 1652, 5102, 2917, 609, 2527, 25253, 568, 7923, 547, 519, 18109, 267, 538, 513, 8904, 2361, 575, 269, 7136, 5062, 568, 4130, 982, 2527, 8575, 269, 634, 13253, 570, 343, 267, 14977, 267, 570, 345, 267, 543, 519, 3586, 575, 616, 3172, 6421, 269, 1280, 1142, 3948, 267, 2824, 513, 3210, 269, 18289, 540, 7136, 525, 593, 513, 17240, 2917, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 14977, 568, 23099, 570, 345, 1341, 307, 343, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 570, 345, 568, 23099, 570, 343, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 630, 30538, 266, 18250, 266, 300, 321, 264, 326, 568, 23099, 14977, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 634, 9588, 540, 519, 10231, 540, 8575, 568, 23099, 602, 540, 5062, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 634, 4099, 6361, 2173, 817, 540, 8575, 267, 5062, 267, 543, 25253, 1281, 711, 17108, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 570, 345, 568, 23099, 630, 18250, 264, 326, 780, 305, 582, 908, 14339, 338, 692, 10521, 7833, 22203, 616, 4448, 547, 513, 3349, 676, 9187, 1824, 693, 835, 1439, 269, 14339, 645, 568, 3476, 982, 11425, 589, 269, 5637, 616, 5950, 8195, 689, 606, 3355, 5086, 7117, 607, 3254, 538, 519, 4137, 269, 3502, 566, 281, 18328, 815, 4099, 540, 2527, 282, 513, 815, 16070, 10231, 282, 4949, 815, 9588, 540, 8880, 10231, 282, 32318, 815, 9588, 540, 7299, 10231, 269, 1280, 1142, 540, 519, 1739, 6898, 267, 3313, 2436, 621, 568, 2953, 610, 11234, 780, 28557, 5549, 8091, 4949, 540, 519, 18328, 7620, 11224, 476, 271, 585, 1312, 22203, 563, 28557, 5549, 8091, 634, 5860, 540, 519, 22203, 1860, 741, 2557, 540, 2887, 563, 28557, 5549, 8091, 513, 288, 543, 513, 289, 616, 519, 1482, 7620, 563, 28557, 5549, 8091, 3807, 1354, 13941, 267, 519, 18328, 540, 645, 814, 513, 4130, 3432, 982, 519, 18328, 540, 589, 563, 28557, 5549, 8091, 14339, 338, 589, 543, 645, 5734, 519, 2666, 693, 519, 1482, 942, 563, 28557, 5549, 8091, 513, 288, 543, 13672, 289, 1312, 2333, 609, 942, 563, 28557, 5549, 8091, 513, 288, 543, 513, 289, 616, 8200, 593, 7117, 563, 28557, 5549, 8091, 32318, 568, 7620, 3160, 585, 519, 18328, 540, 589, 543, 645, 780, 11405, 12834, 692, 10521, 2042, 454, 272, 269, 634, 10231, 540, 1079, 13999, 593, 513, 5102, 2917, 609, 2527, 568, 7229, 454, 273, 269, 634, 10047, 540, 1079, 22203, 9187, 6838, 693, 835, 1439, 568, 3379, 780, 15478, 273, 269, 866, 0, 330, 7825, 3796, 2593, 692, 258, 476, 6795, 274, 269, 273, 5195, 538, 5998, 692, 1012, 28088, 692, 6795, 274, 269, 273, 5195, 11224, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 2791, 666, 849, 6460, 476, 6795, 274, 269, 273, 5998, 547, 5195, 780, 1012, 23586, 4542, 692, 11372, 17586, 519, 2179, 540, 5195, 676, 519, 7503, 3815, 547, 1205, 519, 1267, 538, 5998, 1384, 6795, 274, 269, 273, 11465, 6398, 476, 272, 269, 2568, 280, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 1012, 1215, 547, 6460, 476, 6795, 274, 269, 273, 5195, 547, 5998, 2496, 763, 7503, 3815, 689, 5195, 547, 5998, 568, 476, 272, 269, 2568, 280, 267, 799, 1797, 602, 476, 272, 5195, 568, 3160, 547, 476, 272, 269, 2568, 280, 5998, 1384, 272, 11465, 815, 476, 272, 269, 2568, 280, 5998, 692, 2414, 6460, 476, 6795, 274, 269, 273, 5195, 883, 5998, 649, 723, 547, 9062, 476, 6795, 274, 269, 273, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 2179, 689, 5195, 547, 5998, 269, 1284, 666, 849, 1106, 513, 8167, 547, 5173, 519, 1267, 1384, 272, 11465, 9890, 476, 272, 269, 2568, 280, 5998, 692, 6795, 274, 269, 273, 11465, 9890, 700, 263, 14790, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 3259, 700, 538, 5998, 1384, 299, 263, 14790, 264, 815, 476, 6795, 274, 269, 273, 11465, 6398, 476, 272, 269, 2568, 280, 5998, 692, 299, 263, 14790, 264, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 763, 3803, 1267, 568, 1384, 6795, 274, 269, 273, 11465, 9890, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 2171, 9959, 602, 476, 6795, 274, 269, 273, 5195, 568, 6697, 547, 476, 4817, 275, 269, 3393, 279, 279, 5998, 1384, 6795, 274, 269, 273, 5195, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 1012, 28088, 19406, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 769, 713, 2013, 2947, 4627, 562, 27197, 31644, 1448, 1079, 5195, 568, 5111, 8370, 4627, 15823, 21144, 1448, 2185, 2947, 8370, 5998, 1384, 6795, 274, 269, 273, 5195, 9881, 483, 476, 4817, 275, 269, 3393, 280, 5998, 692, 1012, 23586, 3349, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 5195, 547, 12919, 7503, 3349, 1384, 332, 3796, 630, 14741, 264, 12919, 630, 14790, 994, 6795, 275, 269, 273, 5195, 476, 4817, 277, 269, 6187, 278, 279, 5998, 454, 276, 4817, 269, 273, 5195, 476, 4817, 278, 269, 6858, 277, 279, 5998, 454, 6795, 277, 269, 273, 5195, 476, 4817, 280, 269, 26326, 279, 5998, 454, 6795, 278, 269, 273, 5195, 476, 31634, 269, 8660, 275, 279, 5998, 454, 6795, 279, 269, 273, 5195, 476, 280, 7830, 269, 2004, 274, 279, 5998, 454, 276, 4200, 269, 273, 5195, 476, 280, 5038, 269, 12208, 279, 5998, 454, 7785, 269, 273, 5195, 476, 280, 4792, 269, 278, 2641, 279, 5998, 454, 31430, 269, 273, 5195, 476, 280, 6858, 269, 20065, 279, 5998, 454, 2568, 273, 269, 273, 5195, 476, 280, 6924, 269, 280, 4375, 279, 5998, 454, 2568, 274, 269, 273, 5195, 476, 280, 3583, 269, 276, 4366, 279, 5998, 692, 1012, 19590, 8847, 692, 763, 4559, 3238, 538, 713, 7503, 616, 5195, 543, 12919, 269, 901, 568, 875, 789, 616, 3989, 1384, 2162, 30683, 692, 288, 13304, 568, 513, 1034, 2442, 6482, 1770, 540, 3259, 267, 3160, 547, 1034, 4122, 476, 276, 267, 18231, 3952, 630, 272, 267, 31318, 18126, 267, 610, 827, 476, 272, 267, 2568, 280, 7397, 1040, 634, 13304, 540, 476, 276, 267, 18231, 3952, 568, 1572, 2244, 13304, 610, 519, 29417, 13304, 547, 10646, 621, 689, 519, 562, 27658, 13304, 630, 272, 267, 5952, 273, 7397, 267, 827, 476, 277, 267, 5881, 277, 269, 272, 3952, 1040, 2422, 540, 519, 13304, 607, 513, 1770, 540, 6482, 568, 1631, 7361, 16876, 547, 519, 2136, 8003, 267, 519, 2136, 2276, 267, 543, 4516, 780, 2162, 18741, 18852, 692, 763, 9481, 518, 630, 32188, 281, 5998, 264, 568, 513, 1770, 540, 3259, 538, 519, 11973, 1062, 267, 3160, 547, 476, 1911, 271, 332, 630, 10193, 2854, 607, 476, 272, 292, 266, 274, 332, 1040, 898, 568, 4122, 1031, 13166, 585, 11589, 9883, 1063, 10923, 4025, 593, 2244, 538, 1034, 540, 519, 1158, 269, 0, 29771, 3842, 3049, 780, 1012, 16448, 539, 5884, 692, 16829, 676, 18281, 593, 5130, 476, 1556, 267, 476, 1001, 272, 1107, 476, 279, 281, 2537, 993, 692, 296, 723, 513, 9985, 3044, 5884, 269, 1775, 4318, 269, 1403, 594, 5066, 621, 594, 786, 1205, 513, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 610, 476, 277, 609, 3160, 5506, 780, 304, 272, 269, 1403, 267, 856, 540, 1250, 8289, 267, 2576, 20061, 602, 5884, 30548, 3045, 25555, 602, 621, 3884, 1406, 6029, 513, 476, 276, 267, 1018, 568, 519, 5506, 602, 621, 568, 6029, 513, 476, 277, 2496, 2791, 543, 707, 26393, 723, 8815, 538, 4434, 267, 602, 1058, 513, 476, 276, 581, 18202, 267, 1287, 707, 26393, 786, 2161, 4986, 267, 543, 786, 5066, 519, 5884, 1586, 269, 1261, 786, 1832, 593, 12902, 519, 5884, 2394, 621, 3884, 1406, 6029, 476, 276, 269, 2659, 26393, 3085, 1406, 9114, 610, 31376, 610, 1022, 824, 971, 8945, 2044, 780, 304, 476, 273, 269, 1306, 1354, 855, 1631, 519, 26393, 786, 14773, 950, 1109, 1492, 5884, 3884, 1406, 6029, 476, 275, 610, 476, 276, 630, 663, 646, 3580, 1152, 798, 602, 950, 519, 5884, 3884, 1406, 6029, 513, 476, 275, 610, 513, 476, 276, 1109, 269, 1548, 568, 519, 5506, 602, 621, 568, 6029, 1109, 277, 2496, 304, 274, 269, 23893, 2856, 267, 855, 711, 6029, 476, 274, 267, 476, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 1109, 277, 2496, 304, 275, 269, 23893, 2856, 267, 855, 711, 6029, 1109, 273, 267, 476, 274, 267, 476, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 1109, 277, 2496, 663, 6368, 2676, 304, 276, 269, 1109, 306, 877, 2856, 267, 855, 711, 6029, 476, 272, 267, 273, 267, 274, 267, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 476, 277, 2496, 1607, 2022, 568, 896, 968, 19868, 545, 267, 13174, 20806, 3188, 892, 543, 814, 476, 276, 4431, 865, 2484, 780, 2162, 476, 276, 8680, 4637, 865, 2484, 268, 5410, 835, 14872, 692, 272, 269, 476, 272, 269, 667, 303, 590, 4660, 16088, 692, 272, 281, 476, 272, 538, 476, 276, 630, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 277, 616, 519, 1152, 7399, 994, 273, 281, 476, 272, 538, 476, 275, 630, 272, 267, 476, 273, 267, 476, 274, 543, 476, 277, 616, 519, 1152, 7399, 994, 274, 281, 476, 272, 538, 476, 274, 630, 272, 267, 476, 273, 543, 476, 277, 616, 519, 1152, 7399, 994, 275, 281, 476, 272, 538, 476, 273, 630, 272, 543, 476, 277, 616, 519, 1152, 7399, 994, 276, 281, 621, 814, 547, 581, 513, 476, 277, 692, 273, 269, 476, 273, 269, 18281, 590, 4660, 16088, 692, 12552, 667, 303, 269, 594, 2503, 602, 596, 1522, 723, 513, 1434, 2856, 1141, 713, 835, 568, 2469, 692, 274, 269, 476, 274, 269, 18281, 590, 4660, 16088, 692, 11917, 2365, 331, 594, 11540, 713, 1966, 538, 1931 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 4985, 692, 290, 2734, 622, 10350, 4016, 547, 519, 1062, 540, 3652, 267, 2853, 267, 543, 3157, 676, 799, 513, 2754, 568, 9859, 543, 6417, 269, 634, 1523, 814, 6591, 1713, 3007, 538, 2487, 1296, 1813, 547, 1164, 3491, 12803, 2665, 540, 9746, 23659, 29342, 766, 543, 2883, 23215, 1023, 971, 607, 1346, 5473, 2037, 1258, 267, 2622, 4467, 267, 543, 2657, 21026, 269, 1452, 13685, 723, 3366, 547, 2799, 7125, 585, 6963, 532, 9746, 10350, 6127, 547, 2327, 3152, 12477, 267, 11413, 267, 543, 5539, 538, 9746, 3375, 6194, 269, 769, 713, 1576, 1770, 267, 649, 786, 4983, 519, 4657, 5251, 540, 9746, 10350, 15024, 267, 3226, 538, 6935, 547, 1876, 267, 2229, 267, 543, 1857, 3609, 2079, 269, 1284, 786, 2263, 1883, 3656, 543, 9431, 10850, 12044, 9746, 2623, 267, 5659, 5571, 9840, 3823, 519, 1909, 540, 12250, 9520, 543, 2671, 14516, 17933, 267, 543, 6218, 6932, 3466, 543, 2591, 538, 5009, 2500, 9746, 10350, 780, 2862, 269, 13751, 15753, 3311, 717, 1478, 940, 23654, 26291, 692, 288, 269, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 22769, 692, 763, 22444, 4249, 513, 2565, 1909, 538, 5935, 9746, 10350, 4441, 998, 922, 7939, 540, 19736, 6990, 269, 14329, 476, 1691, 320, 268, 279, 9217, 7565, 278, 1070, 5018, 538, 519, 6679, 1349, 267, 28837, 875, 9583, 2930, 14074, 1369, 6626, 6042, 666, 3648, 1764, 9746, 10350, 6384, 269, 1635, 3850, 3549, 547, 23868, 1978, 2010, 540, 2671, 14516, 18747, 689, 741, 21285, 2326, 267, 713, 4341, 3927, 7182, 2671, 14935, 262, 2702, 547, 3310, 9746, 4507, 543, 3664, 269, 1306, 971, 267, 621, 4564, 513, 29653, 3135, 540, 7521, 1063, 14078, 5275, 8112, 538, 5883, 741, 12602, 543, 20090, 14223, 2516, 11319, 585, 6793, 23388, 543, 12477, 780, 289, 269, 7203, 3316, 525, 14114, 343, 2917, 2920, 540, 476, 1220, 273, 692, 303, 21724, 538, 3210, 547, 519, 1164, 3491, 12803, 8051, 23215, 1023, 540, 519, 2038, 476, 1220, 271, 338, 267, 519, 7203, 3316, 525, 14114, 343, 2917, 2920, 5189, 27789, 15024, 6322, 693, 7393, 9746, 10350, 543, 19620, 20090, 6015, 269, 6206, 14074, 3769, 8260, 908, 4830, 2912, 3218, 10047, 267, 9591, 7803, 20507, 585, 30081, 2238, 267, 8506, 9460, 11675, 543, 18435, 11675, 547, 5909, 1518, 2883, 5359, 267, 543, 2870, 519, 5398, 7577, 19098, 744, 951, 697, 8274, 630, 303, 7563, 15477, 264, 547, 10038, 20894, 10909, 269, 6736, 30852, 540, 922, 24675, 727, 10220, 3790, 543, 1761, 26516, 4539, 267, 7203, 3316, 525, 14114, 343, 2917, 3788, 513, 19506, 4062, 540, 9086, 538, 772, 2529, 269, 9746, 10350, 1686, 780, 290, 269, 667, 15957, 6363, 17213, 9931, 9335, 21637, 543, 19901, 10466, 2920, 540, 476, 1001, 271, 692, 1103, 519, 21987, 540, 519, 2518, 2883, 6433, 540, 476, 1220, 279, 267, 6837, 5293, 519, 667, 15957, 6363, 17213, 2920, 267, 799, 2417, 9450, 9746, 10350, 4170, 585, 15597, 21775, 3549, 269, 7324, 922, 3875, 14074, 267, 667, 15957, 6363, 17213, 3964, 1007, 10324, 13180, 23930, 4170, 267, 2813, 27646, 321, 12294, 20038, 267, 543, 11292, 23265, 8476, 13359, 2924, 593, 2161, 6823, 1790, 599, 21368, 269, 1717, 267, 899, 7203, 3316, 525, 14114, 343, 2917, 1354, 621, 267, 667, 15957, 6363, 17213, 814, 5185, 9880, 689, 930, 20453, 945, 8044, 602, 922, 1950, 6042, 588, 604, 548, 5647, 543, 20818, 3768, 826, 24675, 593, 4213, 780, 7656, 269, 10020, 540, 2382, 6627, 7767, 832, 543, 9523, 14516, 2920, 13659, 692, 9743, 6627, 9520, 27137, 607, 27404, 7482, 267, 8994, 7482, 267, 543, 21963, 7482, 1765, 3835, 8101, 32022, 936, 4207, 3854, 6990, 1813, 547, 741, 5318, 3180, 902, 543, 3742, 9467, 2994, 269, 9182, 267, 789, 5051, 1265, 2933, 693, 519, 21282, 540, 9840, 4478, 9746, 10350, 15024, 269, 2201, 835, 1688, 267, 12250, 9520, 4865, 1312, 519, 2200, 543, 15314, 2556, 547, 6895, 543, 4497, 609, 14769, 3549, 282, 593, 519, 824, 1688, 267, 4145, 6414, 827, 1761, 7526, 540, 1719, 16109, 689, 2110, 3856, 7443, 24500, 610, 28930, 725, 609, 9746, 1202, 11107, 780, 18704, 14516, 17933, 13054, 513, 3119, 6174, 998, 799, 12250, 9520, 3343, 547, 1198, 1689, 1369, 6098, 10909, 269, 2920, 643, 1235, 949, 2308, 1585, 12485, 8151, 689, 4357, 16395, 543, 3297, 7308, 27214, 25333, 25211, 532, 3646, 547, 811, 13720, 1049, 4485, 971, 607, 25937, 2671, 14516, 21368, 267, 530, 1645, 1857, 11044, 267, 610, 1256, 22745, 21285, 24515, 269, 2755, 2671, 14516, 17933, 666, 5732, 10776, 2763, 9283, 538, 9746, 2773, 543, 10350, 2853, 267, 13915, 13657, 1996, 7050, 16126, 593, 891, 7459, 2016, 741, 19514, 3950, 2594, 543, 1761, 2942, 5007, 885, 780, 4353, 269, 7351, 12367, 543, 12694, 538, 26472, 13229, 23654, 26291, 692, 288, 269, 11536, 294, 16949, 543, 12655, 20971, 11150, 692, 20245, 267, 1514, 267, 543, 10350, 630, 2464, 294, 264, 9270, 723, 21959, 1229, 2810, 3007, 1851, 9520, 543, 14519, 7567, 607, 2629, 3334, 540, 1279, 3856, 1871, 5137, 543, 1981, 2359, 269, 22353, 267, 1082, 5238, 1631, 6451, 11536, 294, 2188, 883, 741, 5092, 3375, 6194, 3157, 267, 10452, 3395, 6284, 540, 519, 1570, 640, 540, 1875, 21129, 2574, 1344, 543, 30393, 6788, 1471, 268, 14504, 23724, 9746, 2932, 269, 16480, 267, 3044, 1944, 11536, 294, 14573, 543, 4180, 4086, 1464, 2066, 1615, 340, 619, 2611, 10770, 2591, 267, 635, 2364, 908, 3646, 547, 11753, 6940, 3741, 9846, 2066, 2823, 31987, 780, 289, 269, 19731, 13734, 32011, 543, 15765, 13574, 11429, 14362, 692, 17556, 2072, 1222, 9479, 2099, 17319, 4808, 8716, 12250, 9520, 547, 9772, 14942, 9562, 2853, 13988, 609, 7393, 1279, 3856, 1871, 543, 5807, 4264, 8804, 269, 3689, 2919, 538, 519, 2136, 8003, 267, 2147, 7341, 723, 2094, 3262, 11451, 267, 1519, 3567, 781, 19731, 13734, 8943, 543, 519, 3864, 5742, 781, 11059, 4643, 593, 5685, 3496, 12655, 12618, 269, 11330, 7859, 8044, 602, 971, 9479, 948, 5447, 4690, 1063, 10697, 9946, 267, 18689, 25808, 267, 543, 2486, 693, 1804, 1247, 5807, 3152, 3972, 543, 11413, 2429, 2883, 6990, 780, 290, 269, 25895, 2598, 4533, 687, 543, 7913, 26306, 692, 305, 777, 573, 7760, 538, 3059, 4066, 3136, 547, 28196, 710, 9746, 8916, 267, 9306, 3209, 3255, 543, 2591, 585, 10350, 9439, 269, 3245, 5841, 4987, 543, 3684, 1565, 547, 9893, 543, 14590, 267, 6639, 10124, 28173, 8242, 1983, 1115, 267, 7347, 1981, 4879, 16097, 267, 543, 13261, 10721, 3889, 5827, 540, 10188, 9687, 2344, 2175, 269, 5015, 267, 2055, 7282, 1239, 7834, 267, 5683, 3642, 3156, 267, 543, 3743, 946, 540, 2029, 3138, 558, 1804, 267, 14053, 13857, 6114, 689, 22124, 267, 2872, 3401, 267, 543, 3540, 2486, 3906, 7567, 780, 309, 269, 10390, 692, 2026, 25967, 1819, 676, 938, 6514, 540, 3656, 10850, 267, 12250, 20090, 5107, 267, 543, 28928, 3466, 267, 9746, 10350, 15024, 13822, 513, 6422, 543, 15491, 6389, 6353, 676, 6024, 9542, 543, 16311, 566, 269, 19793, 1324, 6099, 4093, 3340, 13326, 12721, 14422, 267, 11028, 4290, 532, 28836, 4690, 267, 543, 10128, 3309, 5380, 883, 17396, 4507, 17841, 547, 13346, 13865, 7569, 269, 3414, 11826, 2079, 543, 5483, 5188, 267, 1857, 3609, 19767, 1404, 15747, 5107, 538, 14027, 16268, 11407, 1472, 891, 4105, 2152, 267, 6038, 7700, 547, 8902, 267, 811, 12581, 267, 543, 4264, 2804, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 519, 23654, 23721, 1772, 21744, 269, 18435, 302, 2593, 14592, 519, 16548, 585, 3817, 540, 9746, 10350, 15024, 563, 17809, 2064, 13317, 547, 1776, 12250, 23265, 5870, 269, 901, 835, 786, 1445, 593, 2657, 338, 1926, 630, 29369, 10345, 281, 670, 13612, 1040, 27294, 593, 519, 16786, 1331, 24310, 2152, 267, 1699, 5718, 543, 1870, 4640, 267, 519, 7577, 779, 9746, 10350, 543, 519, 3984, 540, 4031, 7057, 5063, 19429, 1996, 543, 593, 15773, 540, 519, 7577, 269, 9523, 6868, 666, 7390, 538, 1268, 610, 3842, 7658, 935, 12401, 269, 13638, 267, 5239, 476, 272, 267, 476, 1220, 273, 454, 11742, 281, 476, 275, 281, 1428, 10681, 630, 3633, 307, 994, 20278, 281, 3038, 2064, 13317, 267, 5549, 563, 278, 1789, 25004, 22971, 454, 6124, 3840, 267, 1715, 3840, 476, 1911, 866, 454, 11965, 29262, 693, 476, 18891, 268, 31229, 268, 17168, 271, 454, 20376, 20914, 543, 16510, 8189, 30626, 29542, 623, 8636, 6069, 2242, 547, 21285, 3652, 538, 513, 4633, 1354, 519, 7027, 540, 2382, 6627, 7767, 832, 269, 623, 8636, 6700, 14874, 22444, 4341, 476, 1691, 320, 268, 279, 9217, 7565, 278, 1040, 901, 4341, 2636, 3549, 547, 522, 2466, 689, 741, 21285, 6898, 2671, 26782, 18747, 602, 4308, 609, 968, 867, 2435, 1870, 2223, 610, 6927, 602, 616, 540, 6161, 547, 2359, 267, 711, 2671, 1144, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 6554, 1315, 4937, 1315, 5398, 8889, 5811, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 274, 269, 272, 5623, 540, 1401, 12371, 18623, 1222, 593, 4406, 4997, 30511, 22088, 781, 3718, 692, 2026, 835, 540, 519, 1034, 3078, 4207, 11204, 5830, 267, 4406, 4997, 30511, 22088, 814, 21959, 1229, 1713, 3007, 689, 5640, 2066, 1585, 4610, 267, 1519, 5339, 9880, 267, 2686, 2090, 267, 543, 6138, 269, 901, 3296, 6663, 547, 1683, 606, 7650, 540, 519, 4540, 14046, 11407, 4478, 30511, 22088, 781, 1560, 540, 960, 267, 10223, 922, 4644, 1369, 519, 6626, 2796, 540, 11204, 3332, 543, 1007, 1570, 1143, 269, 1284, 786, 2263, 875, 1200, 5708, 12066, 956, 609, 4798, 971, 607, 9194, 267, 3961, 267, 1893, 267, 543, 3965, 267, 543, 875, 891, 12969, 609, 519, 10952, 5943, 540, 1007, 1570, 1143, 269, 1635, 6313, 7986, 14046, 4930, 267, 1395, 21106, 267, 543, 12995, 10070, 267, 649, 786, 5490, 883, 519, 2565, 21200, 540, 30511, 22088, 781, 2101, 1568, 543, 2708, 741, 7418, 547, 938, 1620, 540, 1312, 11204, 2528, 543, 519, 7811, 24598, 25751, 540, 1007, 1570, 1143, 780, 288, 24567, 1719, 538, 30511, 22088, 781, 522, 324, 12320, 516, 666, 581, 4767, 538, 4081, 10580, 936, 519, 2250, 8717, 269, 634, 5354, 540, 14046, 9382, 1445, 593, 1614, 540, 1200, 9691, 28601, 9089, 281, 11968, 3824, 337, 5451, 341, 573, 657, 630, 1001, 275, 1070, 5487, 2351, 807, 632, 3765, 1019, 550, 525, 630, 1001, 276, 1070, 543, 2677, 328, 15300, 12312, 19660, 630, 1001, 280, 1040, 1452, 5931, 2709, 3638, 14099, 585, 3408, 1813, 547, 741, 5499, 9423, 2553, 267, 954, 3667, 7081, 267, 543, 6278, 609, 10296, 1514, 2152, 269, 9182, 267, 1082, 5640, 1935, 30511, 22088, 781, 1568, 998, 519, 14485, 540, 2022, 19640, 1143, 267, 9059, 17779, 267, 543, 2797, 17933, 269, 1717, 267, 621, 568, 1152, 5063, 602, 13915, 723, 13175, 6236, 1200, 6386, 998, 519, 7828, 540, 1007, 1570, 1143, 267, 799, 3091, 4195, 4030, 883, 519, 1950, 3347, 1063, 1480, 1995, 267, 1875, 16058, 8116, 267, 543, 2825, 4145, 780, 3080, 8037, 9295, 547, 519, 1353, 540, 30511, 22088, 781, 1568, 2501, 689, 3057, 17144, 3600, 739, 320, 22513, 5451, 526, 14162, 781, 2376, 834, 9199, 1424, 12559, 775, 281, 24779, 267, 15350, 267, 543, 7698, 640, 538, 4406, 4997, 30511, 22088, 781, 11470, 257, 630, 1708, 272, 1040, 3371, 267, 3600, 739, 320, 22513, 5451, 526, 14162, 13187, 602, 30511, 22088, 18271, 513, 3982, 1106, 540, 1007, 1570, 626, 15312, 547, 6813, 519, 2833, 540, 20404, 543, 15076, 269, 3414, 2673, 13220, 540, 11968, 3824, 337, 5451, 341, 573, 657, 543, 5487, 2351, 807, 632, 3765, 1019, 550, 525, 267, 1352, 9727, 875, 30511, 22088, 1439, 3298, 3615, 543, 5624, 609, 28146, 1379, 267, 7551, 27200, 2757, 10236, 12510, 878, 5380, 269, 5015, 267, 3600, 739, 320, 22513, 5451, 526, 14162, 733, 1742, 602, 30511, 22088, 3096, 713, 12716, 4640, 547, 20838, 519, 6946, 4296, 1063, 1367, 8823, 543, 7104, 12583, 267, 3226, 1346, 6825, 676, 12761, 543, 2530, 780, 5194, 1271, 6304, 538, 519, 2361, 568, 1500, 676, 700, 23158, 1520, 686, 3570, 623, 2946, 30959, 9986, 643, 4100 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18138, 707, 2196, 610, 11878, 563, 9915, 296, 321, 3881, 22731, 623, 12714, 26121, 25028, 281, 5901, 707, 6049, 267, 10569, 543, 1507, 2123, 3688, 2922, 543, 5150, 1247, 4881, 267, 6972, 267, 19482, 610, 10707, 269, 634, 3501, 6049, 23649, 585, 4881, 269, 17797, 762, 22765, 269, 645, 8784, 6954, 2336, 289, 12239, 681, 9128, 28421, 20937, 23817, 2752, 12601, 2207, 256, 634, 674, 3918, 4932, 10976, 292, 568, 519, 3312, 267, 1655, 2298, 543, 1283, 7779, 14436, 22514, 2139, 593, 8835, 269, 634, 9547, 540, 938, 5561, 14753, 585, 3294, 256, 8058, 707, 632, 11732, 3283, 602, 596, 1416, 256, 589, 25783, 293, 17614, 717, 9281, 307, 585, 3025, 950, 621, 2501, 547, 2123, 3106, 269, 634, 10189, 3568, 14436, 3106, 22514, 609, 513, 6292, 540, 28253, 14436, 13164, 543, 513, 13561, 4859, 9126, 454, 13052, 4753, 303, 3582, 3201, 23370, 22218, 269, 654, 2562, 301, 5058, 674, 7419, 290, 3582, 3201, 14510, 269, 13773, 2922, 609, 713, 28489, 267, 17426, 267, 11741, 543, 2706, 6505, 1305, 540, 3106, 8279, 269, 3962, 1769, 22179, 1175, 476, 272, 270, 274, 12063, 267, 1507, 607, 513, 18292, 6529, 269, 1924, 1769, 543, 11741, 596, 4465, 1406, 917, 596, 2461, 9849, 873, 267, 855, 5179, 1235, 786, 5544, 596, 1318, 2476, 269, 476, 274, 3532, 8279, 829, 3926, 1797, 1164, 15287, 267, 476, 274, 3750, 2275, 10248, 8654, 12331, 585, 1022, 8317, 2433, 11931, 267, 3500, 1166, 4770, 267, 3728, 8755, 269, 12752, 3056, 9075, 3769, 2285, 596, 909, 547, 476, 1911, 3108, 6007, 1272, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 593, 27216, 16306, 269, 0, 9213, 568, 2817, 674, 550, 1415, 331, 17607, 4303, 267, 513, 1554, 540, 2962, 547, 6318, 1857, 4656, 827, 606, 14849, 1966, 281, 1004, 12955, 693, 24034, 3928, 1813, 547, 24648, 958, 1500, 535, 550, 1415, 331, 267, 513, 5906, 10991, 23776, 269, 769, 4993, 267, 936, 476, 277, 267, 9610, 1004, 5747, 689, 513, 535, 550, 1415, 331, 5829, 30072, 538, 476, 1708, 272, 269, 674, 550, 1415, 331, 568, 3238, 538, 811, 7972, 540, 4892, 896, 476, 2004, 982, 1022, 824, 2014, 540, 2669, 267, 1519, 2295, 2068, 267, 2860, 267, 543, 782, 824, 10913, 563, 20055, 721, 3262, 519, 2262, 827, 519, 4220, 540, 535, 550, 1415, 331, 267, 543, 2671, 713, 1344, 2066, 707, 5121, 912, 268, 634, 4993, 4972, 540, 5398, 2657, 630, 7374, 15771, 264, 814, 513, 535, 550, 1415, 331, 2546, 1141, 596, 666, 1451, 811, 827, 535, 550, 1415, 331, 543, 535, 550, 1415, 331, 1449, 17446, 563, 268, 674, 550, 1415, 331, 568, 10464, 267, 14984, 267, 543, 19311, 267, 865, 4308, 619, 946, 621, 547, 1118, 16995, 21447, 269, 898, 666, 849, 581, 1336, 538, 5428, 5061, 899, 25933, 543, 11022, 7246, 563, 268, 1403, 596, 2461, 6236, 1210, 5061, 267, 1449, 707, 1587, 585, 535, 550, 1415, 331, 267, 4163, 562, 531, 2135, 821, 630, 301, 2117, 534, 1070, 543, 917, 519, 4191, 540, 606, 30072, 563, 268, 1403, 596, 616, 10010, 609, 3075, 946, 543, 1616, 948, 547, 1118, 2318, 1689, 267, 1289, 4993, 779, 1533, 4204, 2126, 29748, 1899, 693, 476, 8517, 268, 279, 8064, 268, 28071, 273, 610, 1921, 609, 513, 2800, 5786, 3919, 998, 7131, 15771, 779, 15682, 563, 268, 1403, 596, 616, 851, 540, 606, 3919, 602, 568, 5461, 538, 26084, 562, 531, 2135, 821, 267, 1224, 811, 827, 519, 667, 295, 5425, 715, 531, 2135, 821, 17392, 5741, 543, 1451, 875, 547, 4019, 563, 268, 5192, 562, 531, 2135, 821, 689, 707, 2199, 26849, 610, 676, 1210, 519, 2817, 15053, 22159, 29663, 779, 562, 531, 2135, 821, 1569, 4786, 269, 0, 7968, 309, 476, 1708, 274, 590, 9331, 300, 2207, 2910, 7838, 10345, 454, 5575, 4147, 26386, 454, 1103, 5948, 2060, 16334, 842, 324, 7546, 4406, 24809, 454, 303, 24411, 11150, 543, 29621, 9828, 585, 476, 272, 560, 543, 476, 273, 526, 4147, 11334, 454, 4596, 7838, 10345, 6673, 24165, 309, 3633, 15760, 5990, 667, 7968, 11286, 16774, 5508, 11581, 24102, 6730, 27699, 6579, 11862, 454, 1015, 3108, 593, 24683, 663, 3381, 1570, 543, 476, 1015, 3108, 22356, 1565, 454, 15697, 20131, 20208, 454, 12606, 762, 4930, 543, 2200, 454, 16966, 593, 5985, 543, 18376, 454, 17345, 10088, 1386, 585, 519, 4972, 540, 4065, 543, 10341, 661, 11901, 14400, 6092, 25890, 476, 1708, 274, 454, 17359, 1569, 547, 519, 1576, 454, 4415, 936, 476, 276, 267, 1822, 2228, 1053, 267, 519, 4132, 10017, 4659, 2501, 3810, 5227, 607, 513, 14400, 6092, 3038, 3187, 585, 9721, 1153, 3610, 563, 2171, 849, 10950, 6281, 1153, 3610, 543, 590, 18456, 547, 938, 4832, 6030, 563, 5575, 4147, 26386, 454, 920, 730, 585, 1101, 1362, 3610, 538, 3352, 880, 3119, 1153, 4928, 454, 5575, 4147, 26386, 568, 513, 1576, 2919, 538, 3210, 547, 519, 2115, 540, 1101, 1362, 3610, 538, 9721, 3119, 1153, 13460, 269, 2060, 4557, 1296, 540, 1995, 538, 513, 3099, 540, 4928, 5468, 267, 4406, 24809, 631, 1638, 523, 814, 6170, 519, 5354, 540, 1200, 4876, 3450, 1101, 543, 2034, 1362, 269, 3414, 1200, 2228, 5867, 267, 16334, 842, 324, 7546, 4406, 24809, 14753, 547, 3610, 1169, 1554, 827, 1312, 519, 9620, 543, 18454, 789, 3068, 538, 741, 13460, 269, 901, 4276, 609, 8284, 3119, 3610, 814, 3177, 4406, 24809, 609, 1390, 5813, 883, 519, 1808, 7965, 9721, 3610, 3068, 538, 3450, 713, 1362, 1377, 563, 10527, 1292, 2832, 540, 713, 1576, 568, 547, 948, 3610, 1745, 811, 8746, 267, 1447, 14129, 543, 18668, 538, 519, 1101, 1362, 4928, 269, 11822, 3450, 2994, 543, 2645, 666, 1118, 513, 5458, 3017, 950, 8045, 9846, 3034, 1998, 24809, 544, 1638, 523, 267, 1576, 17082, 454, 19931, 9752, 11150, 585, 3689, 4147, 11334, 454, 11045, 15659, 15858, 5004, 267, 7756, 2747, 267, 543, 29621, 454, 763, 6859, 540, 713, 1576, 616, 547, 1683, 4052, 267, 960, 762, 543, 2500, 2994, 547, 1489, 1101, 1362, 3610, 538, 519, 3450, 540, 7924, 543, 6746, 2329, 267, 1683, 1489, 538, 2474, 540, 5883, 7180, 538, 519, 4928, 1510, 13461, 593, 7180, 2359, 2645, 267, 543, 4363, 4052, 2994, 585, 519, 10014, 540, 1453, 609, 3606, 2115, 538, 519, 13416, 4928, 269, 901, 1576, 786, 849, 1489, 3610, 538, 9962, 4928, 2359, 543, 1949, 563, 27645, 786, 581, 3177, 609, 7811, 543, 4052, 1489, 2994, 543, 16097, 547, 948, 873, 538, 741, 3450, 540, 713, 1808, 2085, 1895, 269, 1358, 786, 849, 581, 3177, 609, 2093, 585, 3450, 998, 1404, 267, 543, 3742, 3946, 6823, 3450, 4485, 267, 607, 1134, 607, 2093, 585, 4879, 540, 267, 585, 543, 607, 1565, 269, 589, 3099, 540, 3450, 6163, 543, 4485, 786, 581, 9415, 543, 8268, 547, 2327, 782, 1565, 6163, 616, 524, 23926, 585, 538, 519, 4928, 269, 9752, 538, 513, 22488, 267, 7471, 6073, 786, 581, 9415, 2429, 519, 1576, 563, 2467, 786, 581, 513, 9074, 538, 713, 1576, 593, 10014, 538, 519, 13416, 4928, 269, 11109, 5249, 538, 606, 20284, 1362, 538, 519, 2250, 267, 543, 7487, 519, 2956, 540, 5610, 543, 9258, 5610, 267, 713, 1858, 568, 540, 5458, 2956, 547, 4406, 24809, 269, 7756, 2747, 786, 849, 1404, 606, 1271, 1909, 538, 519, 1576, 267, 607, 3610, 616, 3177, 609, 4052, 2093, 585, 7598, 15285, 538, 513, 11112, 4928, 563, 1607, 1576, 568, 4557, 3108, 540, 8301, 1543, 267, 3308, 1543, 543, 4879, 538, 2698, 267, 543, 972, 616, 4557, 3108, 540, 5227, 2542, 543, 2200, 585, 596, 547, 2417, 1020, 707, 1378, 1565, 563, 25603, 2659, 26189, 528, 454, 4415, 513, 5763, 540, 6791, 6591, 689, 513, 8717, 540, 3450, 538, 3309, 5054, 267, 4406, 24809, 568, 606, 12913, 3119, 1153, 19829, 945, 4867, 791, 11301, 1200, 1702, 547, 1101, 11665, 1053, 269, 901, 1880, 1362, 1377, 814, 1044, 519, 22294, 540, 4406, 24809, 779, 3450, 4876, 267, 543, 1352, 3217, 513, 16994, 1719, 538, 8537, 3450, 2409, 543, 3608, 4928, 2359, 2853, 563, 11749, 24809, 568, 7184, 8149, 547, 6024, 1565, 543, 8362, 2535, 919, 538, 1357, 21577, 607, 1312, 606, 7390, 2465, 543, 513, 3984, 547, 3986, 1200, 3318, 1646, 269, 4406, 24809, 814, 2813, 8940, 6230, 14243, 842, 324, 7546, 1998, 24809, 2593, 267, 606, 2228, 3760, 2966, 547, 1489, 8284, 3610, 609, 3450, 2994, 267, 5499, 2093, 267, 543, 513, 5763, 540, 2200, 563, 2171, 3513, 1445, 593, 912, 268, 634, 4804, 5113, 454, 268, 15099, 12020, 454, 268, 12754, 12020, 454, 268, 13229, 9752, 543, 4804, 11150, 454, 268, 13229, 10495, 454, 268, 20283, 532, 4578, 543, 2422, 540, 5303, 538, 519, 15858, 454, 763, 1576, 568, 5258, 883, 1614, 2516, 602, 616, 4881, 593, 519, 1739, 7389, 912, 268, 6828, 2290, 281, 5147, 476, 274, 6113, 1107, 476, 1626, 628, 476, 1708, 274, 454, 268, 6828, 5565, 281, 5147, 476, 1704, 628, 1107, 476, 1789, 628, 476, 1708, 274, 454, 268, 6828, 8422, 281, 4864, 476, 272, 560, 1107, 476, 1240, 628, 476, 1708, 274, 454, 8133, 267, 782, 960, 568, 16913, 676, 938, 552, 2389, 12460, 2319, 267, 799, 1797, 602, 596, 786, 4309, 5955, 543, 596, 786, 581, 711, 1881, 952, 811, 1469, 568, 2838, 563, 5472, 540, 938, 661, 11901, 14400, 20043, 616, 1175, 24843, 4200, 829, 1576, 269, 9796, 1175, 24843, 11260, 585, 1079, 6030, 610, 24843, 7742, 585, 1614, 2336, 9617, 1039, 519, 1576, 543, 519, 4266, 547, 707, 7047, 543, 519, 10958, 786, 8850, 581, 4294, 269, 5457, 267, 607, 829, 23370, 4808, 267, 596, 3112, 2347, 1079, 6030, 538, 519, 1482, 942, 1922, 9347, 563, 5978, 3119, 1445, 568, 593, 596, 1565, 543, 1287, 5885, 1453, 609, 741, 3929, 9716, 269, 1306, 513, 1267, 267, 649, 1747, 1871, 593, 14436, 1565, 269, 1411, 3580, 581, 4280, 547, 1865, 707, 1378, 1620, 543, 2833, 267, 607, 1134, 607, 5618, 24096, 540, 1271, 3584, 269, 2353, 10467, 616, 1447, 982, 476, 4335, 1913, 563, 2171, 616, 18930, 539, 609, 1453, 779, 9716, 543, 938, 5692, 568, 547, 18836, 607, 1454, 1702, 607, 649, 666, 593, 547, 519, 1004, 945, 2339, 1107, 519, 3610, 543, 590, 18456, 945, 616, 13057, 267, 5885, 543, 5935, 938, 1453, 1169, 2582, 1554, 563, 5472, 540, 938, 6030, 723, 1044, 2919, 609, 519, 1034, 1699, 1382, 538, 519, 1858, 540, 1072, 543, 3872, 6530, 269, 4841, 945, 723, 6192, 6030, 609, 721, 538, 519, 2250, 1832, 4947, 1394, 585, 811, 269, 4208, 286, 5221, 938, 5561, 2347, 6030, 602, 616, 25888, 1790, 17977, 2407, 540, 6209, 1344, 543, 2500, 2994, 602, 2731, 798, 1711, 1689, 267, 711, 1175, 2066, 13460, 267, 855, 2066, 11678, 2336, 2171, 786, 581, 538, 5905, 1354, 707, 1576, 6238, 609, 21189, 5528, 269, 1280, 1631, 267, 2972, 519, 2063, 2165, 540, 1153, 543, 649, 3580, 1294, 596, 538, 5147, 12458, 1872, 755, 585, 930, 4832, 1565, 256, 0, 288, 17890, 2376, 538, 15019, 3163, 18225, 5654, 693, 667, 784, 11927, 543, 519, 824, 9709, 10357, 2275, 885, 538, 3624, 267, 543, 13187, 602, 1256, 1510, 4914, 16413, 685, 948, 267, 3624, 2907, 814, 519, 2702, 547, 2490, 1472, 922, 1378, 2825, 9552, 912, 763, 4566, 585, 29399, 321, 2967, 344, 340, 892, 821, 540, 519, 3368, 28273, 7999, 10357, 2275, 885, 267, 803, 6549, 641, 565, 2478, 543, 1698, 8558, 540, 5533, 594, 10272, 713, 5614, 547, 15378, 2436, 3624, 666, 11653, 3294, 856, 540, 2825, 31685, 892, 26200, 6537, 676, 9039, 824, 982, 5261, 5062, 10673, 965, 267, 519, 9976, 5449, 968, 16675, 25760, 892, 540, 519, 2160, 540, 9098, 779, 6189, 1153, 543, 5601, 15289, 540, 3013, 779, 4264, 17393, 793, 3350, 269, 769, 476, 1960, 277, 5062, 10673, 965, 729, 519, 1101, 267, 543, 865, 2484, 1152, 267, 1367, 547, 3094, 519, 6519, 5600, 8366, 585, 3039, 1374, 7498, 295, 340, 836, 321, 2967, 344, 340, 267, 538, 2484, 27040, 3624, 267, 729, 519, 1101, 1646, 1788, 676, 519, 3624, 27138, 2529, 269, 4741, 585, 12655, 4886, 267, 513, 18758, 5062, 10673, 965, 3323, 609, 667, 1263, 15089, 267, 519, 8250, 540, 5449, 4457, 6205, 667, 1263, 2473, 807, 14563, 269, 5062, 10673, 965, 779, 12400, 13269, 513, 4190, 751, 731, 1886, 540, 513, 8498, 11423, 513, 4104, 539, 14860, 269, 4706, 5321, 941, 547, 4183, 3859, 8440, 267, 10357, 1532, 9581, 1500, 540, 18720, 543, 10036, 267, 543, 7013, 4598, 547, 11694, 7943, 2507, 763, 2199, 16724, 5697, 547, 1628, 519, 1007, 5321, 267, 667, 2967, 2473, 807, 565, 784, 267, 945, 568, 849 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 5804, 4587, 1286, 3631, 899, 519, 476, 2735, 276, 268, 1960, 273, 4258, 341, 549, 2280, 6682, 16619, 594, 4629, 290, 268, 2098, 547, 811, 2487, 3631, 899, 519, 476, 1708, 271, 27974, 650, 659, 595, 4811, 267, 6517, 723, 8854, 998, 513, 16854, 7004, 936, 519, 1296, 269, 634, 16669, 2872, 267, 899, 1082, 824, 6080, 267, 814, 2938, 3356, 538, 519, 1858, 540, 6639, 8441, 563, 3719, 621, 4667, 519, 2872, 5716, 267, 1519, 519, 15055, 540, 23592, 267, 5292, 17383, 267, 543, 10158, 15879, 11179, 669, 9506, 856, 1007, 6191, 543, 2533, 267, 972, 779, 1100, 10213, 799, 9583, 3552, 8798, 1522, 4166, 1831, 519, 2343, 269, 1717, 267, 1934, 616, 930, 3466, 602, 616, 2907, 13321, 519, 2872, 563, 2690, 5553, 267, 6517, 723, 1044, 13324, 676, 3154, 610, 4620, 1503, 267, 855, 7444, 855, 15983, 267, 3167, 6517, 616, 11543, 2666, 538, 519, 2872, 269, 23663, 13324, 676, 3154, 610, 4620, 1503, 723, 1044, 1634, 547, 2014, 2011, 5533, 269, 1358, 2285, 1055, 20715, 6878, 602, 616, 5739, 547, 519, 1604, 269, 898, 568, 1100, 9983, 602, 3167, 6517, 616, 4742, 513, 7678, 538, 2413, 2053, 563, 4322, 6517, 946, 835, 610, 811, 3167, 610, 20086, 16546, 585, 27668, 269, 18766, 689, 1373, 10357, 7888, 267, 789, 666, 849, 4688, 596, 930, 2724, 269, 1358, 666, 581, 9901, 693, 1753, 267, 693, 960, 267, 610, 593, 519, 4155, 607, 3379, 547, 824, 6517, 602, 2154, 3154, 610, 4492, 547, 2196, 269, 634, 808, 16331, 541, 594, 6261, 864, 2443, 476, 10602, 12463, 10481, 543, 519, 10748, 328, 552, 6874, 1258, 22505, 3724, 2443, 476, 6507, 12463, 10481, 616, 930, 3167, 1286, 3631, 563, 25821, 6517, 798, 723, 513, 7008, 540, 11393, 602, 1058, 581, 6743, 693, 269, 1358, 723, 513, 10156, 2039, 982, 2757, 6517, 269, 589, 4628, 9901, 3167, 1286, 666, 5397, 585, 827, 476, 1911, 5195, 269, 30975, 538, 3478, 513, 12123, 6728, 15029, 593, 519, 4155, 568, 849, 513, 1966, 563, 763, 6521, 547, 3167, 6517, 814, 1044, 3366, 676, 23592, 267, 799, 568, 849, 7598, 2242, 547, 519, 1259, 6517, 616, 3812, 269, 1703, 779, 513, 17105, 7903, 2509, 21438, 2504, 267, 538, 1840, 547, 4824, 3761, 5832, 2359, 267, 20690, 2740, 676, 6325, 16669, 3761, 5832, 3549, 547, 1489, 519, 2872, 269, 634, 717, 27004, 15327, 616, 606, 1383, 540, 713, 538, 2962, 563, 8505, 26127, 6517, 616, 1582, 6117, 6517, 602, 2154, 1100, 1480, 6304, 269, 1924, 875, 4010, 798, 891, 6517, 960, 286, 1358, 7048, 593, 8596, 267, 27103, 2209, 267, 3684, 1565, 1949, 267, 543, 3532, 21932, 547, 14892, 3301, 563, 4322, 6517, 666, 7500, 607, 6517, 602, 991, 1480, 6304, 269, 589, 7008, 540, 1296, 3516, 267, 14628, 6517, 941, 1152, 2938, 538, 26427, 681, 3187, 543, 15506, 2006, 779, 14501, 267, 855, 1318, 1354, 938, 4064, 267, 891, 6517, 616, 4742, 513, 4641, 269, 901, 1007, 8798, 949, 581, 835, 540, 519, 3435, 547, 519, 9118, 10913, 12735, 5224, 938, 9897, 563, 310, 599, 15879, 267, 513, 2754, 602, 9388, 538, 1582, 28391, 6517, 267, 3091, 11878, 3620, 9430, 2533, 547, 519, 1857, 538, 930, 4872, 269, 1717, 267, 621, 949, 1491, 930, 942, 1354, 713, 568, 2944, 593, 513, 1804, 4336, 269, 32534, 6517, 267, 2705, 267, 723, 930, 11393, 269, 9603, 547, 519, 1249, 602, 789, 616, 1582, 12454, 267, 3833, 513, 1297, 540, 1004, 786, 581, 9788, 1055, 267, 2810, 519, 13864, 2557, 267, 799, 949, 2417, 1860, 519, 2804, 2208, 540, 2477, 563, 1103, 1840, 547, 713, 267, 971, 6517, 616, 12155, 547, 28892, 269, 1452, 6517, 1832, 3950, 540, 519, 8227, 779, 2123, 3877, 543, 949, 6961, 547, 581, 606, 2653, 1259, 585, 21190, 547, 2445, 2123, 1239, 563, 1607, 568, 513, 8360, 649, 5873, 513, 2603, 540, 538, 891, 2053, 269, 2060, 519, 1158, 32626, 513, 2101, 6855, 267, 1004, 616, 3168, 585, 2081, 547, 2569, 1480, 3346, 269, 4658, 786, 2864, 3251, 538, 741, 5321, 543, 1931, 1018, 789, 991, 676, 10478, 585, 621, 2228, 543, 1818, 513, 1906, 7125, 269, 634, 16669, 2872, 568, 711, 2451, 856, 563, 8505, 558, 9394, 2694, 666, 849, 581, 12349, 2228, 269, 589, 2603, 540, 1286, 1397, 7741, 723, 1185, 547, 2673, 1524, 1813, 547, 519, 4856, 7431, 309, 6400, 267, 2943, 1004, 616, 6029, 1719, 538, 11449, 6517, 269, 898, 1522, 1491, 930, 942, 1354, 2228, 10918, 3587, 519, 1931, 540, 519, 1554, 267, 855, 519, 7399, 616, 11995, 269, 898, 568, 1271, 547, 4063, 602, 513, 1297, 540, 1004, 723, 1044, 1219, 571, 24231, 998, 713, 1797, 540, 9140, 6517, 267, 865, 835, 1590, 581, 6297, 950, 9140, 610, 9513, 6517, 543, 22302, 2694, 2228, 563, 302, 342, 940, 513, 1286, 568, 513, 2462, 4308, 269, 1717, 267, 538, 2487, 2053, 267, 1004, 723, 1831, 811, 1930, 547, 1286, 4687, 269, 3487, 7781, 1286, 3631, 616, 538, 1164, 3747, 267, 2523, 1317, 891, 3631, 616, 3501, 585, 1286, 4687, 269, 772, 828, 13333, 538, 3592, 1169, 2197, 269, 1280, 10256, 543, 15915, 7567, 267, 1286, 4687, 814, 1831, 1360, 2500, 269, 2311, 519, 4945, 540, 513, 1906, 16181, 593, 707, 6049, 267, 596, 1205, 1569, 547, 513, 1286, 602, 3217, 596, 547, 707, 10278, 563, 2005, 17990, 942, 543, 6971, 2566, 269, 898, 568, 606, 4316, 547, 7118, 3063, 2724, 585, 1004, 2907, 2324, 269, 5455, 326, 24612, 2934, 1331, 11878, 6879, 2130, 267, 1141, 513, 3095, 666, 581, 2366, 547, 513, 3659, 610, 3448, 547, 3950, 519, 7552, 269, 634, 3483, 540, 713, 568, 547, 2061, 20737, 689, 2921, 5413, 540, 713, 547, 2800, 741, 15915, 538, 1022, 1259, 563, 28723, 30905, 26859, 7010, 630, 4696, 3008, 994, 4696, 3008, 1949, 616, 1949, 602, 4217, 10256, 267, 2523, 538, 6117, 543, 18736, 3252, 269, 1358, 2097, 538, 1585, 3029, 267, 689, 1949, 602, 948, 519, 9920, 4584, 519, 1655, 18736, 5544, 547, 1949, 602, 24633, 519, 9920, 540, 1761, 10913, 269, 2290, 540, 519, 6663, 267, 5310, 519, 1034, 1271, 2832, 568, 547, 2569, 1480, 5470, 563, 28723, 9920, 6351, 1949, 1331, 4464, 16580, 9963, 267, 4550, 2000, 1442, 26039, 267, 543, 26738, 22576, 9963, 269, 4014, 5084, 3008, 723, 6591, 930, 1377, 540, 8560, 267, 972, 568, 1869, 513, 1279, 1259, 547, 979, 269, 901, 568, 1317, 713, 2029, 568, 14427, 282, 8754, 621, 568, 711, 2139, 593, 513, 3677, 4336, 563, 21010, 539, 6517, 616, 6517, 602, 616, 2111, 547, 5968, 610, 2671, 1239, 609, 3457, 3544, 519, 1286, 269, 3245, 2029, 602, 666, 10332, 519, 9920, 540, 519, 14282, 4492, 6728, 950, 519, 1286, 568, 3592, 856, 540, 4492, 547, 2029, 602, 666, 1569, 519, 9920, 779, 11706, 547, 3313, 875, 1279, 621, 786, 1491, 519, 9920, 547, 1205, 547, 1010, 1985, 10278, 267, 4448, 6517, 616, 1934, 547, 1118, 1272, 4443, 269, 4045, 539, 6517, 267, 2705, 267, 666, 1831, 606, 28627, 585, 21190, 269, 634, 10963, 602, 666, 581, 8149, 950, 891, 6517, 616, 11360, 539, 616, 11995, 563, 9336, 2872, 1058, 581, 1930, 547, 2242, 543, 7835, 269, 634, 16669, 2872, 568, 513, 3810, 8013, 835, 282, 8754, 891, 6639, 10311, 616, 1883, 538, 19788, 1312, 5561, 543, 9520, 269, 2060, 875, 3728, 519, 1158, 568, 2469, 267, 606, 18914, 2754, 602, 568, 711, 1930, 547, 6639, 8441, 786, 6157, 581, 2451, 3297, 269, 11628, 1382, 568, 1869, 1373, 5342, 547, 1265, 2081, 540, 5355, 593, 2907, 4540, 4066, 269, 898, 6157, 4465, 1406, 2097, 607, 513, 9983, 952, 1296, 689, 1631, 267, 10760, 6517, 1831, 513, 4641, 2864, 982, 513, 14810, 269, 0, 1692, 2635, 568, 707, 1753, 888, 9336, 1753, 538, 3013, 2115, 513, 2635, 25810, 543, 610, 17875, 3149, 10628, 269, 4208, 798, 594, 2161, 713, 286, 3683, 476, 2004, 260, 540, 519, 2011, 596, 13236, 593, 519, 476, 272, 560, 6989, 540, 707, 1753, 2501, 689, 707, 25810, 610, 31770, 2230, 998, 513, 2067, 12136, 1572, 10518, 13716, 269, 1403, 707, 25810, 610, 31770, 2230, 568, 711, 2635, 267, 1287, 707, 1753, 568, 711, 2635, 269, 589, 6632, 1299, 14927, 25810, 610, 31770, 2230, 666, 1711, 606, 14432, 11255, 2713, 1604, 269, 4634, 513, 1507, 30997, 1900, 666, 1118, 513, 2101, 3017, 538, 2576, 779, 1753, 610, 960, 1747, 563, 303, 3326, 583, 1218, 666, 4283, 689, 2539, 2157, 563, 7197, 1004, 6108, 607, 1454, 607, 476, 1321, 3108, 513, 1554, 538, 741, 5321, 269, 4595, 519, 476, 3192, 271, 338, 267, 5321, 723, 1044, 3710, 5051, 2011, 31259, 547, 4688, 593, 3154, 543, 5201, 4227, 519, 2179, 540, 2011, 5385, 269, 5794, 9395, 630, 21328, 31478, 264, 5321, 723, 6537, 811, 3007, 547, 782, 540, 519, 14107, 513, 25810, 610, 31770, 2230, 814, 547, 2709, 998, 1018, 649, 1289, 968, 23637, 1198, 9731, 1805, 871, 1198, 568, 519, 3350, 540, 2011, 883, 543, 856, 540, 5656, 267, 16403, 7958, 543, 1166, 1132, 543, 568, 9141, 676, 513, 3017, 538, 11255, 547, 9205, 2011, 5860, 4611, 689, 2837, 543, 7509, 3604, 269, 10815, 10053, 3905, 2011, 14380, 543, 568, 8719, 676, 16437, 518, 267, 3579, 2011, 269, 634, 3152, 519, 8143, 3017, 543, 519, 4463, 540, 519, 2497, 267, 519, 3152, 519, 10518, 1198, 269, 634, 10518, 1198, 568, 849, 5219, 547, 607, 519, 968, 577, 574, 2284, 1198, 892, 543, 621, 2337, 5397, 2067, 14910, 538, 513, 2777, 269, 1924, 952, 519, 2011, 568, 14432, 538, 707, 25810, 543, 610, 17875, 3149, 10628, 267, 602, 1482, 1032, 568, 1034, 2693, 15449, 908, 519, 5580, 2157, 540, 707, 1753, 610, 9036, 563, 22137, 723, 3254, 602, 1004, 945, 19582, 14927, 5656, 616, 693, 606, 2799, 1981, 540, 1072, 2042, 563, 763, 20796, 17162, 31178, 10758, 294, 3198, 22003, 9569, 29706, 13993, 23360, 3633, 30316, 2839, 5085, 2562, 2464, 8989, 602, 31269, 540, 14927, 610, 9044, 344, 5656, 723, 909, 547, 513, 476, 4037, 260, 24321, 2969, 2207, 681, 3041, 298, 5508, 19419, 303, 7644, 2969, 12088, 20219, 6573, 15674, 5960, 269, 5525, 723, 849, 3964, 606, 7681, 1063, 11255, 14927, 1145, 609, 7929, 5563, 543, 23892, 519, 4761, 1062, 563, 291, 2086, 1145, 568, 513, 1966, 538, 5656, 1317, 621, 2488, 519, 7509, 602, 7028, 519, 2208, 540, 4551, 267, 13271, 630, 328, 4318, 1421, 9044, 1070, 543, 7786, 269, 634, 5442, 306, 2316, 307, 7473, 292, 5508, 32212, 2975, 12114, 1336, 6190, 2963, 547, 3095, 4598, 547, 14927, 11255, 5054, 538, 2489, 547, 5580, 7929, 8778, 2589, 267, 11522, 267, 543, 765, 324, 2763, 538, 6382, 2635, 1004, 543, 609, 10447, 2589, 538, 1004, 609, 10447, 563, 25567, 753, 22939, 5111, 476, 3445, 2600, 540, 741, 942, 16280, 269, 5525, 540, 1480, 4598, 547, 2011, 14107, 676, 16501, 5815, 602, 11255, 2157, 540, 14107, 949, 581, 476, 273, 547, 476, 276, 2053, 1107, 543, 12212, 811, 982, 476, 1911, 2053, 1107, 2362, 982, 9205, 12376, 656, 2157, 269, 1473, 3233, 2011, 14107, 723, 1044, 19486, 1851, 519, 1283, 2947, 2825, 4220, 547, 1857, 1072, 563, 18719, 557, 519, 2011, 2298, 538, 707, 1753, 676, 31925, 519, 1604, 538, 707, 25810, 610, 17875, 3149, 10628, 269, 11910, 721, 543, 513, 7874, 5741, 15440, 786, 3643, 596, 543, 1683, 596, 609, 1344, 543, 3435, 593, 875, 596, 666, 2087, 519, 1072, 540, 707, 1753, 269, 1677, 1451, 811, 267, 1289, 721, 2221, 693, 476, 279, 2764, 268, 4037, 280, 268, 4649, 273, 273, 563, 305, 617, 9652, 267, 519, 674, 10133, 543, 5518, 540, 12476, 618, 1299, 7101, 517, 10298, 267, 814, 1044, 538, 519, 4070, 2872, 585, 1034, 540, 1010, 1272, 563, 3891, 3459, 713, 2754, 609, 513, 2241, 5692, 281, 1677, 1683, 1169, 6075, 609, 513, 2647, 3099, 540, 1942, 15807, 3435, 543, 513, 1377, 540, 6075, 3028, 602, 568, 5667, 584, 10139, 539, 538, 519, 2872, 563, 305, 617, 543, 1010, 2319, 540, 8036, 4966, 1491, 11348, 538, 1818, 2386, 602, 741, 5561, 616, 476, 1911, 260, 13854, 609, 741, 3028, 267, 543, 11441, 547, 1683, 513, 1753, 9762, 847, 528, 1995, 602, 568, 2352, 547, 1265, 9170, 3116, 563, 7712, 476, 1220, 272, 267, 12476, 618, 1299, 7101, 517, 10298, 814, 1044, 5375, 3345, 10491, 779, 1034, 11967, 25810, 28890, 532, 267, 31770, 2230, 20206, 1637, 543, 5748, 7816, 543, 2234, 517, 17846, 4966, 269, 1284, 3180, 6000, 547, 513, 2362, 3044, 543, 938, 6075, 3028, 543, 960, 1397, 1175, 602, 269, 1280, 476, 1626, 266, 1296, 267, 12476, 618, 1299, 7101 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 330, 5979, 269, 18603, 281, 590, 752, 749, 926, 537, 269, 25306, 267, 674, 269, 808, 269, 476, 1960, 275, 269, 681, 699, 8172, 19291, 12722, 25306, 269, 2048, 763, 4644, 540, 519, 20281, 538, 1977, 1686, 685, 543, 824, 3594, 269, 2060, 16555, 676, 3627, 27963, 10787, 698, 615, 269, 1715, 670, 13273, 281, 23171, 2160, 4964, 563, 310, 864, 267, 589, 269, 808, 269, 645, 269, 543, 16399, 267, 631, 269, 590, 269, 476, 4489, 273, 269, 2776, 18856, 634, 1087, 3315, 269, 11062, 281, 11062, 2160, 4964, 269, 1284, 514, 6199, 267, 590, 269, 590, 269, 476, 3422, 276, 269, 634, 12942, 6520, 538, 519, 32363, 613, 534, 269, 11062, 281, 11062, 2160, 4964, 269, 2098, 557, 30503, 559, 267, 631, 269, 476, 1960, 277, 269, 26478, 938, 11937, 543, 519, 3961, 540, 2342, 269, 769, 623, 269, 3400, 1407, 5174, 3497, 267, 590, 269, 13643, 543, 595, 269, 31133, 1076, 630, 2644, 1070, 8836, 3961, 543, 22884, 267, 476, 13970, 1700, 5780, 269, 5507, 281, 30296, 269, 2098, 557, 30503, 559, 267, 631, 269, 476, 1960, 279, 269, 1548, 779, 538, 513, 2012, 281, 519, 12379, 18070, 267, 519, 32665, 267, 543, 1514, 1689, 693, 519, 12379, 18070, 9539, 324, 18070, 5912, 269, 769, 631, 269, 3798, 24325, 543, 595, 269, 27672, 630, 2644, 1070, 4197, 519, 32665, 540, 5087, 2914, 3480, 2342, 267, 476, 272, 1700, 476, 3374, 269, 29161, 281, 14265, 603, 928, 4964, 269, 0, 1103, 5130, 476, 13923, 272, 267, 519, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 1261, 729, 1287, 2040, 3000, 539, 547, 2408, 693, 519, 10791, 540, 654, 768, 338, 267, 606, 10198, 540, 519, 10513, 4936, 7276, 269, 1261, 15189, 547, 973, 656, 543, 14890, 8176, 966, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 269, 13162, 4682, 883, 15720, 693, 654, 691, 7921, 16836, 563, 1692, 1705, 519, 4936, 7826, 5783, 4431, 1310, 13162, 15189, 547, 973, 656, 1010, 5784, 888, 1103, 4873, 476, 13923, 271, 15352, 24955, 2473, 28715, 476, 6078, 540, 13162, 779, 715, 27197, 19317, 634, 4513, 267, 855, 646, 849, 5795, 13162, 942, 547, 973, 656, 269, 769, 3210, 267, 13162, 15597, 14616, 519, 13099, 531, 13032, 543, 15189, 547, 15646, 8784, 1010, 3981, 1431, 269, 1261, 729, 608, 10919, 5344, 689, 519, 4936, 7826, 5783, 593, 5130, 476, 274, 267, 476, 13923, 272, 563, 1432, 5949, 950, 13162, 15189, 547, 15646, 8784, 1010, 2093, 888, 1103, 5130, 476, 13923, 272, 267, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 8422, 3275, 2663, 267, 13162, 729, 1572, 547, 9718, 1010, 4978, 1354, 10513, 4936, 14890, 8176, 966, 693, 519, 10791, 540, 654, 768, 338, 267, 1141, 646, 729, 28020, 1219, 5050, 269, 1280, 1010, 30671, 547, 973, 656, 1010, 12591, 267, 519, 17169, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 563, 3963, 1705, 13162, 20549, 547, 973, 656, 693, 519, 10791, 540, 654, 768, 338, 888, 32354, 13162, 729, 2040, 3000, 539, 547, 519, 10791, 538, 1931, 547, 15646, 8784, 610, 556, 3530, 3305, 1010, 5784, 538, 3210, 547, 513, 14466, 531, 13032, 540, 15352, 24955, 2473, 269, 769, 2626, 547, 15819, 267, 646, 29846, 891, 5784, 543, 15189, 547, 973, 656, 873, 563, 1432, 5949, 950, 9410, 13162, 6836, 547, 6963, 519, 7826, 5783, 888, 32354, 13162, 13934, 519, 7826, 5783, 676, 6031, 602, 519, 28831, 1223, 711, 6430, 952, 2576, 1223, 979, 547, 13140, 610, 711, 269, 1261, 13934, 519, 28831, 779, 6392, 543, 713, 1291, 547, 519, 5137, 540, 1007, 13039, 538, 5375, 2342, 269, 2560, 1323, 18656, 10885, 4389, 519, 15163, 540, 519, 13039, 10751, 585, 513, 5609, 563, 1432, 1705, 9410, 13162, 798, 1310, 1373, 608, 10919, 5344, 888, 1103, 5130, 476, 13923, 272, 267, 519, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 1261, 729, 1287, 2040, 3000, 539, 547, 2408, 693, 519, 10791, 540, 654, 768, 338, 267, 606, 10198, 540, 519, 10513, 4936, 7276, 269, 1261, 15189, 547, 973, 656, 543, 14890, 8176, 966, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 269, 2560, 13162, 5747, 593, 476, 1240, 5988, 476, 15150, 277, 538, 661, 529, 548, 17754, 563, 3674, 9410, 13162, 1869, 608, 10919, 5344, 888, 299, 9801, 5747, 538, 476, 15150, 277, 609, 15352, 24955, 2473, 779, 608, 23890, 1869, 538, 1198, 563, 25238, 1221, 1475, 1240, 5988, 476, 15150, 277, 630, 3042, 476, 7830, 264, 661, 529, 548, 17754, 267, 6019, 540, 32617, 26709, 267, 10513, 4936, 7276, 2008, 347, 19733, 1475, 17206, 540, 8210, 31060, 2008, 9989, 13162, 973, 656, 538, 17494, 950, 18796, 547, 888, 32354, 13162, 267, 519, 8783, 18463, 540, 17557, 1143, 267, 1219, 625, 519, 10513, 4936, 14890, 8176, 966, 676, 32222, 547, 973, 656, 1010, 12591, 269, 1261, 1185, 1044, 1572, 547, 654, 768, 338, 267, 5125, 267, 547, 2408, 1354, 519, 10791, 630, 553, 12273, 264, 540, 519, 10513, 4936, 7276, 543, 2626, 10997, 540, 646, 637, 344, 563, 8005, 6870, 9410, 13162, 1310, 519, 10791, 540, 654, 768, 338, 888, 4263, 513, 2629, 1974, 585, 519, 2038, 26746, 267, 19291, 6870, 13162, 689, 519, 15352, 543, 519, 17169, 267, 543, 3576, 1864, 883, 26692, 693, 519, 654, 691, 7921, 14500, 1310, 519, 10791, 540, 654, 768, 338, 630, 13923, 272, 1070, 799, 2322, 13162, 896, 519, 11440, 7333, 563, 3963, 1705, 519, 28831, 2322, 513, 29667, 344, 593, 13162, 779, 2212, 888, 3891, 849, 20402, 519, 5939, 779, 7333, 1996, 9310, 20577, 269, 4329, 267, 13162, 5156, 602, 519, 5783, 5116, 2484, 1932, 1454, 2956, 593, 10847, 532, 6307, 267, 519, 3993, 540, 4906, 269, 2560, 13162, 729, 16363, 513, 1934, 6776, 267, 608, 10919, 5344, 689, 519, 5783, 267, 543, 513, 29667, 344, 729, 5116, 593, 1010, 2212, 563, 3674, 13162, 1318, 547, 13889, 1996, 519, 5939, 4208, 888, 299, 9801, 5156, 18656, 326, 1878, 547, 581, 30898, 10041, 1317, 267, 646, 10645, 267, 20778, 3357, 676, 11419, 998, 5132, 630, 3891, 3691, 9749, 476, 1015, 281, 4343, 1070, 711, 676, 513, 13099, 531, 605, 17474, 610, 18656, 10885, 269, 13162, 1486, 6479, 519, 9042, 540, 18656, 326, 1878, 676, 562, 9430, 1010, 968, 4817, 634, 4513, 892, 1996, 741, 3892, 547, 519, 7450, 540, 31864, 1084, 7921, 16836, 5783, 593, 5239, 476, 4029, 267, 476, 14681, 278, 563, 1432, 5949, 547, 13162, 593, 1010, 1259, 1394, 547, 31864, 1084, 6199, 888, 19602, 267, 593, 1010, 3460, 1394, 547, 31864, 1084, 6199, 267, 13162, 729, 968, 330, 573, 333, 11474, 892, 676, 7980, 540, 19291, 543, 3144, 31205, 547, 654, 691, 7921, 16836, 267, 2282, 519, 4884, 540, 29276, 778, 267, 1141, 646, 7283, 538, 15720, 585, 519, 1732, 851, 540, 513, 1032, 269, 2560, 13162, 779, 8144, 25340, 4299, 519, 1646, 540, 519, 2854, 4436, 1893, 563, 1432, 1705, 13162, 711, 899, 827, 519, 7826, 5783, 888, 299, 9801, 1185, 513, 1966, 609, 519, 1249, 519, 7826, 5783, 540, 1010, 1554, 729, 9247, 9513, 18656, 326, 1878, 2443, 8197, 267, 2687, 547, 7905, 5839, 290, 1638, 5255, 267, 789, 5280, 2628, 585, 519, 31811, 540, 12142, 8834, 779, 29092, 3821, 538, 7507, 269, 13536, 267, 13162, 5526, 547, 723, 12628, 1010, 3661, 538, 623, 4026, 2218, 15587, 563, 1432, 1705, 13162, 779, 476, 4817, 634, 4513, 2161, 888, 7804, 9410, 13162, 1031, 891, 634, 4513, 547, 4159, 1010, 21379, 1952, 1465, 609, 519, 5783, 779, 9042, 540, 18656, 326, 1878, 267, 543, 713, 5555, 5795, 4332, 547, 17557, 1143, 269, 898, 2523, 1219, 1221, 519, 10752, 540, 519, 5783, 593, 519, 2470, 540, 4050, 766, 267, 519, 6392, 543, 1379, 540, 519, 28831, 543, 519, 12117, 540, 18656, 326, 1878, 563, 12441, 9410, 13162, 1689, 519, 6426, 888, 299, 9801, 779, 8144, 540, 519, 6426, 1500, 519, 1257, 3015, 547, 519, 8723, 4436, 585, 519, 1101, 942, 267, 543, 5280, 3337, 519, 13439, 1417, 26746, 269, 2060, 922, 11495, 10409, 2511, 267, 621, 849, 5280, 1106, 519, 4436, 1893, 267, 796, 4328, 6237, 22463, 543, 4543, 519, 16586, 1020, 513, 6793, 3084, 3961, 563, 3963, 1705, 9410, 13162, 2736, 2476, 689, 30871, 888, 2005, 729, 519, 1032, 476, 14681, 278, 950, 519, 4436, 31494, 9410, 13162, 8930, 2740, 1010, 476, 4817, 634, 4513, 547, 519, 7450, 540, 1010, 7826, 5939, 267, 3954, 23395, 519, 7826, 9042, 540, 18656, 326, 1878, 2443, 533, 731, 976, 585, 21359, 2443, 543, 15819, 13099, 531, 6392, 269, 2334, 3366, 547, 1010, 608, 23890, 543, 519, 1376, 540, 519, 17557, 26746, 269, 0, 763, 8484, 729, 606, 27549, 7077, 543, 621, 729, 24317, 519, 1895, 540, 8695, 856, 540, 4789, 269, 7083, 540, 519, 4469, 625, 7179, 1196, 269, 1358, 1287, 25176, 267, 1631, 18468, 519, 28458, 568, 5963, 1483, 269, 634, 1101, 6252, 568, 519, 16726, 1063, 519, 12567, 540, 3798, 523, 543, 519, 6816, 538, 7083, 540, 519, 4469, 625, 269, 634, 32538, 568, 2241, 267, 519, 4555, 2095, 12347, 267, 543, 519, 30181, 1689, 3533, 1510, 1454, 4674, 563, 763, 4829, 602, 9428, 593, 519, 6532, 3884, 1405, 17580, 267, 543, 789, 3548, 5388, 543, 3165, 269, 1261, 568, 7166, 693, 519, 1439, 540, 519, 1433, 676, 23011, 945, 5107, 513, 6149, 593, 1283, 540, 1864, 269, 634, 2504, 729, 547, 581, 9859, 676, 519, 3203, 2065, 10615, 945, 4465, 519, 476, 1001, 275, 7454, 7591, 4860, 2526, 585, 269, 7108, 532, 814, 27333, 1767, 602, 646, 5206, 519, 3209, 538, 3210, 547, 1010, 2123, 2112, 2833, 269, 9941, 569, 267, 11303, 676, 513, 535, 16206, 540, 22679, 529, 1438, 6505, 7068, 267, 3294, 513, 8988, 3337, 9944, 519, 32344, 20035, 725, 267, 17363, 781, 4666, 1560, 6410, 856, 2509, 519, 1930, 4262, 563, 306, 15120, 22828, 19811, 267, 519, 2278, 540, 519, 2073, 15109, 7083, 540, 519, 4469, 625, 547, 581, 513, 3119, 3310, 585, 1200, 960, 269, 898, 729, 3254, 676, 519, 5920, 602, 519, 6532, 729, 4843, 607, 4190, 607, 519, 4677, 540, 3798, 523, 269, 4746, 267, 594, 786, 581, 7234, 11488, 6835, 547, 2009, 11324, 340, 619, 269, 4256, 2085, 2039, 689, 2185, 547, 3670, 269, 634, 6668, 540, 519, 3514, 11687, 15859, 568, 1945, 602, 1169, 13442, 593, 713, 4541, 814, 269, 2368, 540, 519, 2261, 3019, 539, 3197, 616, 8723, 1053, 267, 1247, 1866, 12446, 607, 513, 7574, 1781, 597, 896, 606, 3964, 6205, 269, 28522, 4445, 543, 1010, 14296, 3090, 1242, 2507, 476, 280, 5952, 9293, 476, 275, 9664, 4062, 540, 3332, 972, 568, 2141, 835, 1915, 602, 6763, 856, 547, 803, 563, 31568, 6238, 1010, 1378, 14316, 540, 21962, 269, 5808, 1197, 1185, 519, 598, 577, 1223, 581, 519, 1152, 835, 6158, 269, 769, 519, 1650, 519, 1915, 25453, 568, 519, 16502, 945, 4564, 3540, 1242, 267, 5718, 267, 543, 1931, 269, 4634, 1498, 972, 616, 1434, 1004, 538, 713, 1158, 267, 972, 786, 2141, 581, 9409, 269, 10793, 729, 513, 4535, 6205, 543, 950, 646, 729, 711, 11221, 6205, 540, 519, 8695, 593, 519, 6532, 646, 5612, 8179, 2081, 547, 2744, 1379, 269, 634, 4829, 602, 9428, 593, 519, 6532, 3884, 1405, 17580, 267, 543, 789, 3548, 5388, 543, 3165, 563, 2026, 513, 1267, 540, 10793, 781, 5260, 720, 5718, 267, 17363, 543, 28522, 4445, 616, 7166, 676, 519, 21962, 269, 634, 8695, 13604, 2972, 741, 1101, 21649, 269, 5808, 781, 2469, 547, 6445, 856, 519, 27834, 8298, 585, 1142, 3896, 596, 3643, 286, 634, 1433, 3217, 1747, 538, 519, 22984, 540, 606, 5667, 29347, 1881, 2112, 269, 1703, 616, 1152, 1079, 8695, 945, 9090, 1705, 711, 7639, 282, 28522, 4445, 945, 729, 7166, 607, 513, 1463, 1267, 540, 1373, 5734, 676, 513, 536, 30629, 543, 17363, 945, 729, 29041, 547, 2669, 269, 3371, 616, 930, 2055, 547, 1589, 827, 950, 2324, 593, 707, 6816, 5980, 5517, 16847, 563, 4322, 616, 2141, 2922, 547, 3548, 269, 13536, 593, 267, 1247, 10793, 5170, 547, 10325, 1996, 25453, 267, 519, 21054, 6341, 543, 18238, 267, 1631, 8655, 547, 519, 5826, 540, 519, 5365, 3595, 267, 1294, 519, 1351, 335, 572, 540, 519, 25142, 12681, 543, 1010, 1612, 778, 1393, 538, 519, 4158, 269, 1703, 616, 849, 513, 19619, 540, 6668, 4388, 593, 891, 4609, 267, 952, 596, 1413, 585, 873, 269, 1703, 1185, 6738, 909, 512, 659, 527, 569, 1851, 519, 2462, 12584, 519, 6644, 602, 28522, 4445, 729, 606, 16080, 3187, 267, 711, 1152, 676, 20020, 267, 799, 1705, 711, 2339, 267, 855, 676, 3170, 267, 543, 1028 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2934, 267, 899, 15603, 596, 917, 952, 596, 1500, 513, 12161, 1354, 596, 1256, 2196, 707, 1982, 269, 901, 1259, 267, 596, 666, 4368, 2042, 2038, 593, 543, 1439, 909, 609, 513, 25509, 267, 2324, 4062, 540, 3301, 780, 3086, 267, 1577, 781, 4685, 883, 930, 25727, 269, 2290, 1883, 4183, 540, 7392, 29441, 568, 922, 946, 540, 1239, 2010, 543, 4632, 269, 589, 1239, 1826, 6645, 519, 2780, 1018, 2186, 540, 1344, 513, 1978, 4062, 540, 1239, 4564, 1107, 585, 1383, 267, 2436, 621, 781, 513, 1297, 267, 513, 2262, 267, 610, 513, 4015, 540, 824, 2418, 269, 25159, 267, 593, 519, 824, 1688, 267, 616, 899, 11149, 585, 13936, 1239, 269, 1635, 26471, 513, 1871, 630, 663, 922, 7222, 1239, 1826, 264, 547, 513, 4756, 267, 596, 666, 3362, 19074, 543, 13861, 602, 1239, 2429, 707, 1982, 780, 2080, 781, 513, 2656, 1383, 547, 9414, 713, 1523, 912, 3499, 322, 3333, 17369, 454, 2280, 1250, 21848, 281, 1297, 815, 476, 1321, 282, 12262, 1412, 3240, 21848, 262, 568, 513, 4756, 8066, 513, 1297, 1826, 1871, 454, 2280, 28551, 281, 5569, 815, 2387, 15916, 267, 594, 993, 20270, 3240, 21848, 348, 1296, 2025, 256, 319, 282, 12262, 1412, 26572, 7566, 262, 568, 513, 4756, 8066, 513, 5569, 1826, 1871, 454, 935, 18030, 28802, 14116, 516, 7566, 5148, 12262, 20743, 1412, 15916, 267, 594, 993, 476, 1321, 1296, 2025, 256, 262, 547, 519, 23641, 454, 8199, 5194, 1271, 2460, 540, 7392, 29441, 568, 922, 1489, 585, 1843, 15129, 5752, 998, 5049, 543, 3615, 269, 26643, 957, 607, 23039, 29251, 585, 2870, 2147, 3615, 267, 1142, 5627, 2189, 3601, 543, 2409, 269, 6056, 540, 873, 899, 23739, 2759, 1562, 1107, 1175, 607, 596, 666, 946, 513, 2582, 23739, 2759, 614, 547, 1711, 2789, 12897, 609, 519, 1482, 3337, 267, 596, 666, 946, 513, 1362, 547, 5352, 1082, 3615, 602, 2671, 1455, 4162, 780, 4131, 781, 2015, 513, 1483, 8996, 1383, 281, 513, 17919, 269, 2311, 922, 4295, 267, 513, 11332, 814, 14743, 267, 513, 7406, 267, 543, 513, 5832, 269, 1809, 972, 616, 9118, 7648, 540, 21891, 856, 972, 1107, 7823, 21891, 267, 4155, 21891, 267, 3214, 262, 21891, 267, 3092, 269, 1677, 2099, 713, 2856, 538, 7392, 29441, 267, 649, 1223, 5581, 513, 645, 5390, 2193, 1362, 609, 3838, 3601, 267, 1287, 8831, 602, 3490, 1362, 547, 1711, 7463, 1016, 5035, 525, 585, 1114, 5686, 540, 21891, 780, 12648, 513, 1413, 693, 713, 16866, 1383, 912, 3499, 18196, 5296, 454, 5035, 645, 5390, 2193, 13634, 476, 1003, 12640, 1564, 281, 1297, 3248, 476, 2681, 281, 5569, 16963, 476, 4020, 528, 16325, 12640, 1564, 281, 1297, 267, 2681, 281, 5569, 264, 13634, 825, 713, 8542, 636, 12640, 1564, 815, 1003, 12640, 1564, 3248, 825, 713, 269, 10233, 815, 2681, 3248, 476, 7684, 692, 476, 11878, 263, 2567, 20704, 13634, 825, 23641, 28802, 2891, 305, 4575, 29389, 11850, 476, 7684, 454, 10926, 2260, 8073, 513, 1007, 13738, 289, 833, 1362, 602, 11498, 519, 645, 5390, 2193, 1362, 454, 5035, 13738, 289, 833, 11498, 645, 5390, 2193, 13634, 476, 20022, 281, 1630, 18978, 16963, 476, 4020, 528, 16325, 12640, 1564, 281, 1297, 267, 2681, 281, 5569, 267, 20022, 281, 1630, 18978, 264, 13634, 825, 2706, 16325, 12640, 1564, 267, 2681, 11850, 825, 713, 4732, 22273, 3290, 815, 20022, 3248, 476, 7684, 692, 476, 7914, 263, 2567, 20704, 13634, 825, 23641, 28802, 2891, 297, 18804, 29389, 11850, 476, 7684, 454, 10926, 6247, 1250, 300, 20667, 289, 833, 815, 1007, 13738, 289, 833, 263, 274, 267, 834, 1042, 2580, 3020, 11850, 3240, 300, 20667, 289, 833, 269, 20183, 3890, 282, 12262, 17016, 1412, 305, 4575, 1862, 7055, 3240, 300, 20667, 289, 833, 12459, 2794, 3890, 282, 12262, 17016, 1412, 297, 18804, 1862, 7055, 8199, 2026, 596, 3356, 998, 713, 1576, 1770, 267, 596, 3513, 7237, 3606, 7392, 29441, 2934, 971, 607, 3252, 267, 4359, 1239, 2010, 267, 13838, 267, 7718, 2209, 267, 543, 3575, 1231, 269, 3962, 835, 786, 3142, 596, 835, 1900, 6251, 547, 13215, 519, 1148, 540, 8193, 543, 30196, 11995, 7399, 585, 5876, 543, 5647, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 2029, 609, 513, 4810, 3318, 945, 723, 6791, 538, 741, 1880, 2029, 563, 2171, 616, 3246, 2866, 1759, 593, 4052, 20218, 1935, 799, 6663, 547, 2312, 782, 22027, 676, 4758, 811, 2259, 1247, 1565, 454, 2171, 616, 3246, 2816, 20218, 1576, 2866, 799, 6212, 593, 519, 1702, 543, 1983, 2838, 585, 519, 2816, 563, 2171, 3494, 602, 3025, 1058, 1205, 519, 4316, 547, 1451, 741, 5551, 1576, 269, 1924, 649, 1683, 8112, 4626, 902, 563, 1103, 2661, 1788, 547, 19612, 1018, 267, 1946, 543, 875, 540, 1022, 3498, 1628, 538, 602, 2029, 563, 2171, 2709, 10715, 1569, 547, 938, 1565, 1062, 799, 1118, 27466, 525, 547, 2744, 782, 519, 1702, 543, 1983, 2838, 585, 519, 2816, 563, 7072, 547, 7392, 29441, 454, 1432, 568, 7392, 29441, 888, 3963, 946, 7392, 29441, 888, 30787, 909, 519, 1646, 1604, 454, 13911, 29441, 1239, 2010, 543, 4632, 454, 13911, 29441, 5678, 17972, 454, 13911, 29441, 5049, 543, 3615, 454, 293, 17313, 538, 7392, 29441, 454, 28723, 7392, 29441, 17972, 454, 13911, 29441, 13838, 543, 4408, 335, 2167, 454, 13356, 528, 2209, 538, 7392, 29441, 454, 300, 1460, 1231, 538, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 7647, 8765, 4260, 11594, 910, 4197, 519, 2622, 540, 3203, 3778, 692, 8893, 476, 272, 281, 1548, 781, 513, 7647, 8765, 4750, 2496, 5331, 596, 723, 4362, 513, 14951, 7708, 557, 4904, 609, 2984, 827, 1148, 1686, 256, 901, 568, 1018, 5640, 1745, 899, 950, 789, 2097, 2066, 1945, 1572, 513, 834, 338, 3273, 8765, 4760, 1701, 1452, 5749, 1405, 707, 2834, 17476, 610, 21075, 9789, 344, 616, 2027, 10070, 540, 2854, 1568, 1141, 4966, 2671, 741, 5767, 8906, 267, 4030, 267, 543, 4555, 593, 1808, 3584, 269, 4653, 267, 649, 786, 1451, 827, 835, 971, 14046, 4760, 602, 6212, 593, 3140, 16493, 780, 4131, 781, 1491, 513, 32708, 3330, 713, 4241, 1158, 2439, 14945, 8893, 476, 273, 281, 28038, 2608, 3412, 2745, 24682, 2659, 19835, 3118, 547, 3203, 3778, 692, 763, 4760, 649, 786, 2263, 1927, 568, 1572, 2608, 3412, 2745, 29688, 898, 568, 3370, 7466, 513, 1032, 543, 814, 1044, 1472, 2094, 476, 3192, 277, 256, 2334, 1797, 972, 616, 1082, 4277, 2984, 7996, 547, 581, 20114, 269, 2368, 1004, 1522, 1589, 1565, 827, 1148, 1686, 1223, 581, 19309, 267, 855, 3972, 803, 267, 621, 666, 2965, 581, 3833, 10578, 2899, 596, 1376, 2542, 891, 1483, 3734, 19792, 8941, 780, 265, 3412, 2745, 265, 3568, 4930, 543, 1433, 8039, 827, 1585, 3344, 540, 1820, 10655, 538, 3013, 269, 1411, 949, 4898, 267, 834, 1432, 1281, 1412, 7290, 5566, 1820, 10655, 262, 1256, 1611, 8119, 4270, 267, 4952, 2348, 513, 4015, 540, 2025, 19297, 267, 22099, 267, 610, 5961, 2813, 676, 5159, 945, 5030, 7366, 540, 1296, 3516, 269, 4658, 1353, 873, 547, 1174, 875, 1272, 729, 1394, 1287, 267, 1175, 899, 24085, 2007, 909, 3504, 21219, 780, 14945, 8893, 476, 274, 281, 20821, 3776, 20929, 1107, 20226, 19992, 519, 2480, 25333, 692, 6524, 11362, 883, 519, 3817, 540, 2608, 3412, 2745, 24682, 1577, 781, 2743, 930, 1271, 1004, 945, 5280, 1711, 713, 5863, 4199, 269, 5565, 8037, 2043, 616, 15516, 269, 11908, 4446, 333, 24824, 543, 11427, 269, 22123, 623, 15127, 269, 1358, 6170, 9118, 3108, 2469, 998, 2250, 2152, 267, 11018, 1344, 267, 543, 12180, 3388, 865, 621, 1131, 581, 4443, 585, 721, 547, 1224, 543, 2972, 269, 1284, 28297, 873, 513, 2462, 9684, 596, 2439, 14945, 8893, 476, 275, 281, 19484, 3414, 5384, 1107, 3245, 476, 3192, 277, 547, 10558, 4303, 692, 3086, 602, 649, 917, 811, 827, 938, 3391, 9248, 30916, 3412, 21646, 265, 1070, 1577, 781, 979, 593, 513, 3460, 256, 8625, 267, 649, 786, 2951, 689, 476, 3192, 277, 2394, 2221, 267, 3695, 1114, 5756, 607, 952, 789, 941, 13515, 2059, 938, 8905, 269, 2311, 1142, 3247, 267, 649, 3513, 1265, 4277, 2984, 827, 1585, 5159, 267, 2553, 1031, 547, 1711, 4190, 16493, 267, 543, 1454, 811, 269, 1924, 10544, 707, 14165, 673, 9290, 13826, 543, 1205, 4712, 585, 513, 1187, 7045, 2439, 14945, 8893, 476, 276, 281, 15531, 2859, 12267, 1107, 15332, 2608, 3412, 2745, 22177, 12441, 596, 917, 602, 7172, 12579, 543, 3173, 946, 824, 2645, 547, 948, 873, 1265, 1256, 811, 2984, 1644, 547, 2608, 3412, 2745, 265, 286, 2290, 971, 1907, 568, 1572, 681, 15660, 11482, 6993, 1421, 799, 6763, 585, 4139, 1234, 13630, 800, 540, 519, 9085, 540, 3203, 269, 5994, 621, 607, 513, 9649, 5399, 17048, 4481, 2966, 585, 1148, 1686, 18798, 269, 1703, 616, 2147, 2200, 1572, 31639, 540, 519, 3778, 540, 3203, 267, 8466, 17593, 338, 267, 543, 1977, 281, 3778, 543, 5020, 1932, 269, 2060, 891, 2645, 267, 649, 666, 3136, 20857, 4514, 883, 519, 9159, 7706, 540, 1148, 1686, 780, 14945, 1103, 3932, 267, 18167, 883, 14046, 13746, 899, 2608, 3412, 2745, 265, 10741, 9885, 547, 11995, 7399, 585, 3408, 269, 1635, 1620, 875, 4966, 5968, 741, 4681, 543, 4687, 1702, 267, 649, 1831, 1732, 9280, 547, 5660, 519, 10848, 543, 5898, 540, 5396, 899, 1148, 1686, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2985, 8638, 782, 4930, 543, 1433, 8039, 3370, 538, 1955, 2745, 267, 519, 14046, 4760, 540, 519, 1977, 8466, 7179, 11814, 832, 5980, 269, 1955, 2745, 814, 1044, 3370, 7466, 21496, 2094, 476, 3192, 277, 269, 589, 1641, 4994, 267, 2278, 4994, 267, 543, 1433, 2689, 15853, 616, 849, 2139, 563, 20684, 13366, 585, 519, 1296, 476, 3192, 277, 268, 1220, 271, 941, 16432, 676, 11908, 4446, 333, 24824, 543, 1101, 7902, 538, 9102, 1106, 538, 519, 4201, 4379, 476, 1220, 271, 3390, 540, 1955, 2745, 282, 519, 1433, 2689, 13366, 941, 16432, 676, 22123, 623, 15127, 543, 1101, 7902, 538, 519, 11354, 476, 1708, 271, 3390, 269, 8074, 281, 21107, 6085, 2456, 543, 11889, 1543, 616, 711, 3769, 538, 713, 1592, 563, 9209, 2873, 616, 849, 7493, 539, 543, 4994, 539, 538, 681, 15660, 11482, 6993, 269, 630, 17220, 1234, 13630, 800, 540, 519, 9085, 540, 3203, 264, 998, 476, 1960, 271, 267, 543, 689, 476, 1960, 271, 268, 1220, 278, 538, 31639, 540, 519, 3778, 540, 3203, 543, 8466, 17593, 338, 543, 5924, 1977, 281, 3778, 543, 5020, 269, 634, 8545, 1079, 12240, 616, 849, 3406, 762, 2228, 3842, 661, 7034, 4596, 10676, 563, 3192, 271, 338, 630, 309, 11169, 269, 476, 272, 268, 275, 264, 1955, 2745, 15080, 454, 14157, 269, 476, 272, 267, 1100, 269, 476, 272, 630, 21938, 476, 3192, 277, 994, 272, 269, 661, 6202, 700, 269, 1715, 2006, 267, 968, 6781, 601, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 19884, 9866, 3569, 538, 16723, 10495, 692, 8702, 267, 5664, 3427, 4841, 2439, 5970, 596, 2479, 9289, 875, 16895, 4137, 856, 1018, 781, 2469, 593, 3330, 2576, 781, 2247, 286, 2290, 1259, 789, 798, 713, 568, 998, 1945, 1572, 4879, 267, 4152, 267, 543, 6482, 269, 901, 16681, 2165, 1797, 1210, 1114, 2645, 267, 899, 26830, 267, 11042, 267, 543, 7422, 267, 547, 1174, 1004, 1732, 269, 4653, 267, 649, 2811, 2469, 547, 1445, 593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 274, 268, 23283, 280, 269, 476, 273, 269, 590, 2931, 267, 918, 269, 645, 269, 630, 2735, 280, 1040, 19331, 731, 513, 19618, 3069, 540, 1362, 267, 5198, 267, 543, 4008, 269, 1977, 6599, 333, 6048, 267, 476, 1626, 263, 274, 1070, 476, 276, 4097, 268, 20862, 269, 630, 10059, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 277, 3393, 24129, 264, 476, 274, 269, 5153, 534, 267, 715, 269, 700, 269, 630, 2735, 277, 1040, 17813, 543, 4008, 281, 634, 1909, 540, 21658, 538, 2257, 269, 1772, 529, 267, 476, 6507, 263, 273, 1070, 476, 28360, 268, 28071, 269, 630, 10059, 2517, 4178, 12459, 712, 11594, 269, 1276, 8522, 12975, 270, 8742, 270, 11274, 270, 1015, 269, 10482, 277, 270, 30500, 9873, 264, 476, 275, 269, 32544, 267, 700, 269, 630, 1960, 279, 1040, 589, 12497, 5943, 585, 1620, 5198, 267, 1362, 267, 4008, 267, 543, 14920, 269, 10017, 540, 6468, 22588, 569, 267, 476, 2420, 263, 272, 1070, 476, 1724, 268, 3953, 269, 630, 10059, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 9340, 272, 10768, 269, 15704, 272, 268, 25953, 273, 269, 1960, 279, 6745, 321, 9826, 4375, 11859, 264, 476, 276, 269, 22413, 1069, 2714, 267, 631, 269, 700, 269, 630, 1960, 279, 1040, 17813, 543, 4008, 10291, 538, 1970, 2987, 4146, 12836, 269, 11572, 3194, 22588, 569, 267, 476, 7906, 263, 275, 1070, 476, 279, 4817, 268, 280, 1240, 269, 630, 10059, 2517, 30394, 11594, 4732, 720, 335, 889, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 14056, 278, 270, 11793, 6795, 272, 26482, 3199, 276, 1911, 29889, 286, 329, 16067, 24927, 284, 1440, 336, 321, 264, 476, 277, 269, 2398, 16201, 267, 674, 1421, 918, 25403, 3405, 657, 267, 808, 269, 667, 1421, 1299, 670, 1122, 691, 344, 267, 623, 269, 630, 1220, 278, 1040, 1879, 5198, 543, 4008, 979, 1510, 6031, 269, 4317, 595, 10744, 267, 476, 1839, 263, 273, 1070, 476, 21854, 268, 26316, 269, 630, 10059, 2517, 7666, 559, 5112, 30394, 11594, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 13923, 272, 4882, 27494, 269, 1220, 278, 269, 1839, 269, 273, 269, 21854, 264, 476, 278, 269, 674, 529, 651, 267, 808, 1421, 1299, 670, 4545, 1442, 267, 645, 269, 670, 269, 630, 1001, 277, 1040, 9012, 6927, 281, 17813, 1299, 4008, 538, 2475, 6214, 269, 30296, 269, 630, 10059, 2517, 4178, 6745, 11336, 325, 3757, 30241, 2593, 270, 9248, 270, 3000, 334, 270, 1015, 269, 28242, 275, 270, 7818, 14530, 6872, 272, 3607, 272, 279, 8276, 4215, 2173, 520, 1562, 18191, 7897, 1922, 529, 651, 15918, 871, 3620, 1177, 330, 3620, 4545, 1442, 264, 476, 279, 269, 918, 686, 1122, 518, 267, 715, 269, 630, 1960, 271, 1040, 30101, 543, 4008, 7130, 281, 1981, 2188, 585, 1164, 1973, 2604, 27085, 4317, 2257, 1299, 4915, 267, 476, 1789, 263, 1321, 1070, 476, 14096, 274, 268, 12553, 272, 269, 630, 10059, 2517, 4178, 4732, 857, 10642, 1311, 2593, 4882, 7220, 270, 14835, 270, 11274, 9706, 4512, 270, 271, 2767, 278, 4817, 3607, 280, 271, 3445, 28906, 292, 264, 476, 280, 269, 623, 7795, 331, 267, 681, 269, 631, 1421, 1656, 9445, 21416, 267, 570, 1421, 1299, 9466, 749, 267, 918, 269, 667, 269, 630, 1220, 279, 1040, 3131, 8526, 540, 2597, 7130, 281, 9860, 543, 6476, 547, 5198, 543, 4008, 7130, 538, 3013, 269, 4179, 2517, 4178, 8542, 1155, 2593, 270, 14895, 270, 6359, 334, 1220, 279, 2420, 4139, 4760, 540, 8377, 267, 476, 3953, 263, 277, 1070, 476, 4200, 273, 268, 1911, 271, 563, 268, 30101, 4515, 4979, 454, 268, 670, 622, 16594, 454, 268, 13834, 26521, 454, 268, 5398, 1744, 5446, 454, 268, 17587, 15356, 454, 5591, 991, 547, 2628, 1175, 2943, 2336, 268, 27491, 7427, 539, 1677, 634, 14594, 454, 268, 16458, 6050, 5450, 2311, 5272, 8609, 454, 268, 23433, 1656, 1773, 698, 14705, 5131, 454, 305, 864, 267, 4147, 267, 543, 13834, 454, 1103, 18722, 543, 19811, 8730, 3184, 593, 968, 3963, 5198, 267, 1362, 267, 543, 4008, 1869, 1319, 619, 892, 5000, 3988, 547, 1589, 827, 519, 1158, 538, 741, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 269, 1358, 11130, 602, 1256, 1498, 2486, 814, 1689, 543, 972, 568, 513, 2647, 2039, 540, 4763, 282, 5198, 267, 1362, 543, 4008, 1869, 6927, 269, 18722, 543, 19811, 7150, 267, 968, 305, 864, 267, 1362, 267, 543, 4008, 2339, 1317, 789, 2611, 519, 5748, 585, 1062, 540, 1379, 543, 8635, 602, 267, 5103, 938, 4182, 779, 4763, 267, 3136, 547, 581, 1851, 519, 1034, 1713, 1514, 5013, 540, 9082, 2729, 1848, 630, 4517, 3205, 543, 19811, 267, 476, 1001, 271, 264, 1879, 594, 729, 513, 2370, 8004, 267, 594, 2760, 6785, 602, 1004, 941, 9286, 538, 547, 2516, 971, 607, 5198, 267, 1362, 267, 4008, 269, 594, 6785, 972, 941, 1004, 602, 1185, 513, 1114, 2681, 540, 2960, 982, 1250, 2681, 540, 2960, 269, 594, 6785, 602, 972, 941, 3638, 1004, 543, 4057, 1004, 267, 543, 602, 972, 941, 6690, 543, 8695, 269, 594, 4718, 3025, 607, 1373, 1480, 7919, 267, 607, 1373, 519, 1482, 543, 711, 9286, 607, 1945, 269, 1306, 594, 729, 3395, 909, 267, 594, 3323, 547, 1294, 519, 3604, 538, 28944, 538, 2516, 269, 898, 729, 711, 1317, 594, 1175, 530, 5803, 909, 6616, 602, 972, 941, 1114, 28944, 267, 855, 1317, 594, 729, 6026, 827, 873, 538, 1153, 543, 2486, 269, 18722, 543, 19811, 7150, 267, 968, 305, 864, 267, 1362, 543, 4008, 3337, 519, 2833, 540, 782, 1004, 538, 519, 2136, 2276, 269, 630, 1001, 271, 264, 901, 1797, 602, 2833, 602, 649, 723, 8854, 998, 538, 1272, 616, 4646, 689, 513, 5198, 267, 1362, 267, 543, 4008, 2070, 269, 9861, 513, 1970, 13867, 17104, 1268, 267, 594, 723, 1185, 513, 3983, 1995, 950, 10918, 538, 513, 2392, 7631, 2299, 22554, 10918, 4099, 269, 594, 3314, 513, 942, 1250, 31225, 338, 543, 594, 4682, 547, 4444, 9660, 693, 513, 10918, 4099, 538, 18096, 269, 1879, 649, 941, 693, 513, 4558, 3168, 693, 519, 9660, 649, 8068, 602, 5234, 689, 519, 4558, 729, 1739, 721, 899, 952, 649, 941, 2469, 547, 3775, 1945, 269, 1879, 3267, 3267, 1647, 540, 1957, 3267, 3267, 630, 1220, 278, 264, 901, 2013, 5693, 7152, 602, 972, 568, 1100, 7862, 538, 519, 2366, 9760, 540, 4775, 25476, 543, 602, 2021, 616, 1373, 4845, 811, 10792, 569, 982, 9038, 269, 22108, 18722, 267, 631, 11482, 1421, 1299, 19811, 623, 13034, 269, 630, 1001, 271, 1040, 17813, 267, 4147, 267, 1299, 13834, 281, 1323, 16262, 1108, 269, 4208, 17813, 267, 4147, 267, 543, 13834, 12846, 17460, 269, 476, 279, 628, 9990, 269, 5617, 30893, 777, 267, 808, 269, 630, 1220, 278, 1040, 634, 15865, 2021, 269, 476, 274, 6113, 1196, 269, 5617, 23992, 267, 11404, 281, 774, 1682, 517, 14451, 4065, 269, 5062, 4504, 9655, 267, 623, 269, 630, 2735, 279, 1040, 6519, 17658, 850, 613, 267, 7822, 267, 543, 17235, 269, 681, 2135, 12064, 14539, 7577, 267, 11968, 13353, 267, 11404, 11412, 345, 31899, 267, 595, 269, 630, 1960, 280, 1040, 634, 4161, 547, 12339, 24452, 15054, 676, 6468, 779, 946, 540, 5208, 538, 15982, 3347, 269, 570, 822, 5142, 267, 595, 269, 630, 1960, 273, 1040, 634, 631, 1143, 324, 5501, 540, 19716, 2433, 4208, 6468, 3657, 3502, 519, 14568, 11557, 267, 769, 2536, 1640, 610, 11534, 5242, 11557, 269, 634, 476, 3583, 10275, 559, 6945, 812, 543, 519, 9176, 1268, 269, 17363, 1299, 5576, 13831, 269, 15681, 529, 267, 918, 269, 7435, 719, 269, 4993, 3557, 2160, 540, 17485, 13353, 267, 11404, 267, 5988, 476, 1556, 267, 476, 1001, 275, 563, 1103, 713, 1557, 267, 519, 2278, 454, 268, 8890, 8240, 875, 543, 3205, 543, 2458, 1231, 5000, 3988, 547, 1589, 827, 519, 1158, 538, 741, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 563, 268, 4112, 1622, 602, 789, 4312, 1185, 513, 3983, 1995, 950, 10918, 538, 2392, 7631, 2299, 22554, 10918, 7740, 269, 930, 3043, 1004, 3251, 1369, 741, 5198, 267, 1106, 3347, 267, 543, 723, 2673, 17052, 609, 1004, 689, 824, 4529, 563, 268, 8890, 8240, 875, 890, 1375, 344, 26818, 842, 9655, 7512, 3988, 547, 1589, 827, 519, 1158, 538, 519, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 593, 513, 834, 19009, 17979, 257, 5133, 563, 268, 14956, 1149, 602, 1517, 30893, 777, 781, 6679, 3184, 593, 834, 1492, 11944, 540, 4008, 538, 6309, 11659, 257, 7512, 3988, 547, 1589, 827, 519, 1158, 538, 519, 5943, 593, 513, 4807, 1055, 2658, 5133, 563, 268, 8890, 8240, 875, 911, 6665, 14550, 1079, 1114, 4485, 547, 4008, 7862, 267, 519, 834, 16029, 2924, 257, 1935, 543, 834, 342, 1580, 781, 2924, 8487, 268, 4112, 1622, 602, 972, 616, 1082, 3604, 1063, 519, 834, 16029, 2924, 257, 543, 834, 342, 1580, 781, 1318, 257, 1935, 547, 4008, 7862, 563, 268, 4112, 1622, 602, 519, 834, 1410, 28771, 908, 21031, 262, 4055, 1966, 257, 729, 513, 1353, 827, 2021, 543, 2367, 781, 1857, 1964, 7741, 563, 268, 14956, 1149, 602, 972, 616, 3604, 1063, 9038, 543, 8951, 602, 3112, 581, 4957, 269, 930, 2090, 602, 6542, 713, 616, 2564, 2090, 3823, 2295, 2068, 563, 268, 14956, 1149, 602, 519, 2564, 2361, 2115, 547, 2015, 543, 3398, 602, 972, 568, 513, 3017, 1063, 2367, 543, 2021, 563, 268, 4112, 1622, 602, 2367, 4043, 547, 581, 811, 10728, 982, 2021, 267, 1247, 2021, 616, 32616, 539, 607, 12809, 267, 543, 789, 616, 24565, 676, 741, 5615, 269, 2021, 616, 811, 2693, 982, 2367, 547, 946, 2168, 14699, 538, 1582, 12413, 1619, 563, 268, 8890, 8240, 875, 1517, 30893, 777, 14550, 602, 972, 568, 1100, 7862, 538, 519, 2366, 9760, 540, 4775, 25476, 543, 602, 2021, 616, 1373, 30992, 811, 10792, 569, 982, 9038, 563, 268, 4112, 1622, 543, 3205, 267, 544, 7456, 1421, 1299, 2458, 1231, 267, 533, 19544, 269, 630, 1001, 271, 1040, 1946, 5198, 267, 1362, 267, 543, 4008, 1869, 2339, 563, 268, 4112, 1622, 519, 4161, 547, 22158, 15054, 676, 2021, 781, 946, 540, 5208, 538, 15982, 3347, 563, 268, 4112, 1622, 512, 822, 5142, 267, 524, 1421, 519, 25314, 324, 5501, 540, 4807, 267, 543, 519, 476, 3583, 10275, 559, 6945, 812, 543, 519, 9176, 1268, 563, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 454, 23087, 2986, 3427, 339, 1779, 1635, 631, 3821, 2717, 6674, 454, 1103, 3427, 339, 1779, 281, 681, 996, 9722, 1548, 1284, 17166, 6168, 910, 543, 547, 910, 4841, 5272, 4303, 267, 631, 3821, 2717, 6674, 2488, 3988, 609, 1249, 2861, 1344, 547, 968, 4148, 760, 519, 7097, 892, 540, 519, 3765, 10517, 19948, 540, 1053, 538, 519, 2069, 4259, 269, 2717, 6674, 9727, 875, 5198, 267, 4008, 267, 543, 6803, 10297, 666, 581, 17672, 547, 2875, 9740, 269, 2701, 267, 1287, 267, 546, 1161, 538, 547, 476, 7785, 1296, 540, 14868, 3823, 1514, 5198, 10297, 543, 875, 789, 3136, 547, 1860, 3425, 2221, 269, 1635, 31925, 5198, 267, 4008, 267, 543, 14940, 6003, 14868, 538, 938, 8186, 267, 649, 666, 3927, 12167, 585, 891, 1053, 269, 1677, 9959, 519, 1433, 267, 2717, 6674, 6212, 593, 875, 547, 28433, 513, 1544, 547, 2953, 938, 1378, 20887, 543, 6536, 513, 11215, 1604, 585, 3309, 1053, 269, 10801, 454, 14187, 4024, 15391, 532, 543, 13852, 670, 23697, 262, 18227, 19171, 547, 5851, 454, 293, 529, 651, 267, 681, 1421, 1299, 7261, 6350, 267, 966, 269, 630, 1220, 276, 1040, 5438, 1329, 1424, 17813, 267, 4147, 267, 543, 13834, 538, 519, 2136, 2276, 281, 19549, 9990, 269, 11785, 281, 17755, 3863, 295, 650, 454, 295, 2788, 519, 21708, 281, 3131, 7065, 15070, 853, 699, 8040, 2552, 9084, 543, 519, 11534, 1833, 540, 6468, 454, 298, 11481, 267, 700, 714, 630, 2735, 278, 264, 968, 763, 8033, 10840, 540, 20351, 20222, 1848, 769, 281, 6468, 267, 20222, 543, 4317, 6513, 267, 12995, 676, 808, 269, 12390, 1067, 543, 631, 269, 2904, 333, 731, 269, 9533, 4400, 4133, 281, 28299, 4964, 4139, 281, 476, 5379, 268, 2568, 563, 763, 9452, 19992, 519, 2480, 1513, 267, 634, 4033, 17121, 540, 21537, 1047, 281, 589, 6490, 7546, 454, 257, 309, 2723, 775, 1996, 2021, 32717, 781, 513, 2367, 781, 3390, 1701, 12722, 15576, 345, 15545, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 1428, 4455, 269, 476, 1001, 275, 269, 4586, 26046, 2986, 717, 836, 26064, 1280, 589, 4303, 454, 4517, 619, 523 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 2322, 930, 13504, 593, 519, 5377, 540, 519, 21799, 6989, 454, 21607, 519, 9676, 5017, 883, 519, 13409, 3337, 21799, 454, 2704, 869, 519, 5017, 547, 7914, 909, 5196, 519, 13409, 538, 519, 4287, 602, 789, 24714, 547, 22109, 454, 2304, 13504, 1025, 582, 729, 2451, 593, 519, 2427, 540, 519, 13409, 6825, 519, 6177, 781, 4287, 540, 2951, 563, 8794, 519, 1482, 1305, 5346, 543, 1505, 267, 15537, 1287, 3576, 1010, 4603, 547, 519, 1985, 1377, 912, 20278, 519, 13409, 3337, 21799, 543, 5017, 883, 513, 4541, 10740, 454, 14937, 523, 856, 1114, 2694, 540, 519, 6607, 538, 519, 4541, 10740, 454, 3891, 4767, 602, 3109, 2287, 856, 519, 13020, 344, 1185, 454, 7224, 1198, 593, 519, 6177, 781, 2702, 547, 7259, 622, 538, 513, 521, 719, 615, 569, 4287, 454, 1721, 2887, 9194, 267, 855, 950, 519, 3844, 851, 540, 519, 3781, 6607, 729, 454, 18872, 2989, 856, 519, 5017, 1223, 1100, 3476, 7259, 622, 5265, 543, 741, 454, 323, 27399, 5322, 2968, 4351, 563, 2005, 729, 713, 1353, 602, 3893, 3173, 3206, 827, 1018, 10291, 5017, 941, 1210, 547, 22109, 563, 2889, 12378, 609, 1210, 519, 3141, 568, 519, 3586, 4657, 540, 922, 2990, 454, 10843, 719, 519, 1554, 269, 1403, 585, 1383, 267, 596, 1031, 519, 3141, 585, 10066, 454, 20580, 5099, 707, 18330, 1131, 9095, 936, 519, 1576, 540, 519, 1554, 269, 634, 454, 338, 1828, 547, 713, 568, 547, 946, 513, 942, 13180, 3141, 22315, 269, 1677, 946, 713, 454, 24709, 540, 10066, 519, 5017, 1131, 2154, 513, 1826, 540, 4835, 9219, 454, 5891, 532, 519, 942, 540, 1554, 630, 527, 568, 2219, 602, 519, 5017, 723, 513, 1826, 540, 454, 514, 4156, 9219, 264, 799, 2636, 873, 547, 8038, 593, 513, 1808, 5086, 3448, 454, 1729, 519, 10877, 2990, 563, 2467, 616, 513, 7008, 540, 2409, 602, 666, 581, 1031, 547, 6542, 713, 9259, 855, 15535, 1152, 13890, 835, 1505, 563, 9767, 723, 1079, 11353, 540, 1344, 630, 15711, 543, 942, 540, 1554, 264, 596, 666, 454, 2006, 760, 3634, 2901, 835, 610, 519, 824, 269, 1280, 1383, 267, 952, 596, 1616, 707, 454, 822, 20345, 547, 2212, 7532, 543, 519, 3141, 568, 693, 476, 1556, 281, 876, 522, 262, 22018, 538, 519, 5045, 7532, 2676, 9767, 3068, 4724, 519, 3141, 1287, 17967, 3054, 5111, 476, 1789, 5232, 454, 1729, 519, 7532, 543, 2212, 538, 602, 4287, 269, 901, 786, 581, 707, 16144, 585, 454, 1556, 281, 876, 522, 262, 22018, 269, 4595, 519, 3141, 7575, 998, 519, 16880, 693, 5111, 454, 1428, 5232, 829, 5662, 267, 476, 1321, 281, 876, 522, 262, 22018, 1131, 1689, 519, 5086, 547, 476, 3393, 5232, 454, 263, 1789, 1341, 476, 1428, 1040, 901, 568, 4010, 1018, 10060, 13530, 723, 1044, 3254, 547, 798, 563, 298, 571, 1067, 476, 4198, 278, 267, 3703, 11001, 6069, 713, 454, 1889, 2559, 1143, 540, 10066, 585, 1019, 19012, 10060, 1782, 9194, 1282, 519, 1554, 563, 21156, 540, 4657, 519, 9219, 646, 26203, 519, 3141, 547, 8945, 519, 5017, 454, 20041, 3206, 519, 6640, 729, 29869, 543, 519, 10543, 568, 476, 1321, 28813, 676, 454, 1584, 1154, 519, 5017, 593, 513, 1114, 1769, 7933, 1046, 8430, 563, 2414, 19472, 602, 454, 18346, 946, 519, 3141, 7271, 585, 10066, 646, 1305, 909, 606, 4603, 538, 454, 6518, 646, 26203, 519, 5086, 540, 519, 3141, 269, 634, 5017, 538, 713, 4603, 454, 732, 4955, 7992, 538, 513, 14926, 615, 569, 4287, 563, 13729, 909, 513, 1187, 6773, 3337, 6177, 15972, 454, 20278, 513, 11604, 883, 519, 21799, 547, 1689, 519, 3141, 781, 4087, 454, 20278, 519, 9676, 5017, 883, 519, 1187, 6773, 8032, 6177, 21799, 454, 4263, 23863, 519, 5017, 24363, 693, 476, 3445, 5232, 3448, 547, 519, 2990, 540, 519, 3141, 538, 1931, 547, 1832, 741, 14926, 615, 569, 16144, 563, 763, 5017, 1031, 513, 4999, 540, 1312, 519, 3141, 543, 942, 547, 948, 873, 609, 12445, 563, 1721, 4930, 593, 6177, 10066, 543, 741, 7664, 5225, 3643, 25067, 2228, 5399, 693, 281, 5291, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 4495, 4448, 4283, 6177, 10066, 543, 741, 7664, 883, 519, 3406, 4216, 563, 9616, 281, 25080, 13207, 1588, 2242, 689, 1032, 547, 1032, 563, 2467, 568, 513, 2603, 540, 1344, 547, 581, 1031, 950, 1210, 519, 25080, 2361, 912, 291, 3925, 1275, 538, 799, 596, 666, 2995, 5087, 689, 5045, 454, 17951, 956, 540, 3616, 5209, 799, 4268, 4470, 1141, 596, 4755, 547, 581, 593, 519, 8608, 454, 763, 31007, 540, 519, 6419, 2361, 9775, 609, 519, 20173, 267, 1775, 4318, 269, 538, 454, 16341, 9634, 621, 781, 6793, 543, 538, 824, 9634, 621, 781, 21260, 454, 4910, 792, 7815, 12070, 1206, 577, 14150, 1705, 930, 540, 519, 21722, 454, 1740, 1210, 519, 29581, 3128, 16379, 16509, 19234, 609, 3864, 7605, 1231, 538, 454, 310, 7159, 2394, 519, 5017, 1376, 741, 5614, 5087, 1189, 9194, 454, 20278, 5017, 883, 1187, 6773, 524, 1137, 454, 8196, 29581, 3128, 16379, 16509, 547, 13861, 270, 3333, 3424, 519, 6419, 2361, 540, 519, 6177, 781, 13804, 564, 924, 265, 547, 519, 2451, 454, 8196, 29581, 3128, 16379, 16509, 547, 13861, 270, 3333, 3424, 519, 6419, 2361, 540, 519, 6177, 781, 13804, 564, 924, 265, 547, 519, 1318, 454, 265, 300, 24599, 924, 568, 513, 6923, 9648, 7777, 454, 331, 11343, 2673, 547, 741, 2634, 610, 538, 519, 6177, 781, 8405, 6091, 630, 520, 3490, 540, 454, 1492, 15693, 264, 543, 538, 519, 1283, 6712, 540, 519, 581, 752, 538, 930, 5017, 630, 763, 454, 332, 8568, 23673, 540, 519, 29581, 3128, 16379, 16509, 16569, 585, 476, 274, 268, 275, 3108, 1040, 898, 568, 454, 2288, 339, 602, 519, 11275, 924, 6411, 899, 513, 22315, 15738, 2509, 519, 454, 333, 2180, 269, 6271, 8367, 602, 18387, 1405, 1044, 8810, 2943, 267, 568, 519, 5017, 454, 332, 697, 581, 2111, 547, 9308, 1294, 519, 3618, 781, 6419, 2361, 676, 513, 454, 6798, 12950, 1184, 5473, 519, 5075, 563, 21156, 540, 519, 6177, 16144, 5087, 519, 6177, 7575, 454, 514, 513, 5087, 3887, 2120, 569, 4287, 538, 519, 1187, 6773, 21799, 950, 519, 29581, 3128, 16379, 454, 1723, 559, 10593, 519, 6177, 781, 13804, 564, 924, 547, 519, 2451, 269, 1879, 519, 18635, 540, 519, 454, 13900, 332, 3128, 16379, 16509, 616, 20328, 543, 519, 6177, 781, 13804, 564, 924, 568, 17146, 547, 519, 454, 2431, 519, 6177, 7575, 538, 513, 5087, 2914, 6856, 569, 4287, 538, 519, 1187, 6773, 21799, 563, 20118, 267, 5017, 602, 616, 4955, 7992, 5045, 1847, 538, 513, 5045, 3887, 2120, 569, 543, 454, 338, 1926, 2914, 6856, 569, 4287, 1310, 1373, 5116, 538, 519, 29581, 3128, 16379, 16509, 563, 763, 5017, 616, 9090, 524, 5224, 883, 519, 3618, 781, 6419, 2361, 585, 9194, 454, 763, 1657, 476, 274, 4773, 540, 1344, 5732, 666, 581, 1031, 1247, 519, 5017, 270, 534, 7769, 616, 4955, 7992, 855, 616, 789, 2614, 888, 16987, 9323, 676, 24981, 16334, 8583, 9244, 2303, 972, 568, 513, 476, 275, 628, 29692, 910, 21069, 1242, 8752, 454, 300, 8568, 3345, 666, 4268, 609, 13664, 3345, 454, 328, 4318, 269, 25080, 5087, 3085, 1405, 8209, 1611, 3020, 5087, 269, 634, 28550, 540, 454, 1492, 3618, 543, 6419, 3616, 1588, 1590, 581, 3144, 883, 7156, 563, 1607, 1239, 4805, 786, 711, 1205, 596, 547, 707, 10278, 563, 10048, 760, 1637, 540, 21069, 1242, 8752, 912, 2421, 24981, 16334, 8583, 910, 2324, 538, 519, 962, 4157, 517, 18232, 267, 14522, 609, 519, 14205, 20087, 454, 306, 1706, 992, 264, 2701, 543, 824, 3173, 630, 27770, 648, 543, 29928, 476, 1220, 277, 994, 1506, 13607, 1127, 1242, 602, 5017, 941, 1210, 8701, 1242, 1769, 3270, 693, 454, 15711, 3553, 4882, 684, 23438, 547, 2285, 4977, 16315, 540, 1018, 3020, 5087, 543, 3020, 454, 338, 1926, 568, 269, 634, 6786, 14897, 607, 519, 23863, 543, 13713, 31272, 792, 693, 454, 763, 5017, 538, 1198, 616, 26215, 908, 1018, 4287, 543, 1018, 454, 4120, 789, 1131, 991, 547, 8038, 3448, 547, 519, 6419, 2361, 563, 4263, 23863, 1315, 3141, 23438, 972, 568, 513, 6512, 540, 8701, 1242, 454, 2775, 602, 568, 15865, 547, 519, 1480, 3750, 855, 7298, 547, 519, 5017, 630, 2005, 454, 13757, 1044, 4362, 602, 824, 3662, 2249, 723, 713, 2702, 607, 454, 6202, 1040, 634, 5017, 616, 2921, 891, 13164, 543, 19011, 1645, 873, 269, 1924, 1100, 454, 332, 2660, 1141, 789, 616, 593, 519, 4541, 519, 6512, 3328, 786, 2995, 873, 454, 6343, 4287, 5045, 568, 269, 634, 6419, 2361, 1522, 711, 8209, 2995, 454, 29442, 1018, 3020, 5045, 568, 267, 855, 1448, 585, 1383, 7178, 540, 5045, 269, 1635, 1210, 454, 1492, 3328, 540, 23863, 1315, 3141, 23438, 8701, 1242, 1769, 13164, 519, 5017, 616, 454, 762, 547, 8930, 15304, 519, 4287, 540, 5045, 543, 4188, 519, 5086, 789, 454, 30524, 991, 547, 8038, 1210, 519, 6419, 2361, 563, 310, 7159, 2394, 519, 5017, 1376, 741, 2887, 5045, 1189, 9194, 454, 20278, 5017, 538, 524, 1137, 454, 4537, 3424, 519, 8701, 1242, 1769, 3270, 609, 1769, 12086, 676, 476, 3445, 5232, 454, 292, 770, 270, 26156, 693, 3141, 23438, 543, 476, 3445, 5232, 5101, 270, 26156, 693, 23863, 454, 21156, 540, 519, 5017, 16144, 5045, 782, 540, 519, 454, 18346, 17146, 741, 3350, 676, 476, 3445, 5232, 5101, 1315, 4639, 2687, 547, 454, 323, 3925, 540, 6521, 269, 901, 729, 1360, 2178, 2963, 602, 5017, 941, 1210, 454, 1492, 13164, 540, 8701, 1242, 1769, 538, 519, 6607, 585, 12445, 563, 16987, 9323, 676, 4477, 15927, 476, 1960, 272, 609, 3864, 4563, 595, 2355, 454, 763, 9960, 4563, 4211, 2355, 5095, 538, 5125, 454, 332, 580, 3433, 5045, 29891, 547, 8050, 1287, 1524, 547, 4639, 4000, 269, 634, 9960, 454, 14937, 4211, 2355, 5095, 538, 12017, 787, 22109, 5045, 3887, 770, 547, 11894, 543, 1287, 454, 6658, 547, 5101, 4000, 269, 1703, 568, 930, 16937, 1369, 891, 5095, 454, 263, 2381, 2711, 2094, 891, 5017, 1810, 1405, 9742, 693, 519, 1482, 942, 865, 972, 568, 711, 454, 320, 2603, 540, 4316, 585, 891, 5017, 547, 3575, 1927, 1916, 31161, 618, 543, 10066, 666, 581, 9168, 676, 513, 1297, 540, 1919, 454, 19686, 910, 1548, 4477, 15927, 1705, 538, 476, 1960, 272, 912, 307, 809, 5017, 689, 1312, 540, 891, 5095, 454, 3891, 6027, 741, 10066, 543, 1287, 646, 26870, 873, 1927, 454, 763, 1611, 10066, 540, 519, 1055, 1606, 7428, 2676, 14937, 4211, 2355, 22613, 729, 547, 519, 5045, 3246, 2963, 602, 972, 568, 454, 16341, 4719, 1852, 936, 519, 9194, 10066, 585, 5017, 563, 24357, 8344, 1852, 540, 9194, 10066, 1210, 3170, 13907, 454, 763, 1843, 540, 713, 4603, 729, 547, 3605, 2676, 6343, 519, 12214, 8060, 540, 9194, 10066, 616, 269, 901, 454, 13231, 344, 729, 2944, 593, 519, 5087, 2427, 540, 519, 13323, 540, 6792, 269, 590, 263, 24047, 543, 631, 263, 286, 994, 1889, 25979, 519, 6177, 781, 3170, 14425, 1282, 741, 9194, 5045, 563, 290, 2255, 5017, 593, 519, 5087, 13272, 540, 519, 13323, 540, 6792, 607, 789, 28953, 689, 519, 5087, 547, 519, 5045, 454, 307, 1901, 2370, 16657, 16853, 5196, 519, 5017, 17207, 630, 339, 3637, 2597, 602, 1131, 2887, 1055, 994, 3725, 3161, 543, 3950, 1315, 7747, 4287, 540, 8184, 454, 763, 5017, 602, 941, 3170, 18188, 1318, 856, 936, 519, 1216, 563, 763, 5017, 602, 941, 10709, 18188, 547, 519, 7178, 454, 26078, 636, 2406, 547, 8038, 24654, 543, 979, 1472, 519, 13323, 2394, 789, 1185, 454, 338, 11211, 3170, 14425, 563, 288, 3170, 15395, 568, 513, 29692, 547, 8184, 10066, 2676, 8117, 875, 789, 7259, 622, 568, 14356, 6378, 16220, 267, 543, 1522, 581, 454, 323, 17827, 676, 741, 1560, 2783, 267, 1775, 4318, 269, 875, 1454, 3170, 789, 723, 543, 519, 454, 15132, 636, 560, 1734, 602, 789, 1265, 2933, 538, 2523, 950, 789, 991, 547, 454, 29589, 513, 1804, 1163, 534, 572, 540, 1216, 563, 20755, 532, 12186, 593, 24779, 18112, 550, 566, 454, 294, 2958, 1287, 12038, 13713, 827, 519, 960, 270, 13231, 625, 454, 7474, 646, 729, 3257, 593, 13573, 6816, 538, 519, 7345, 540, 8750, 344, 267, 5111, 476, 276, 454, 330, 559, 18852, 5045, 540, 9835, 2494, 534, 6816, 269, 13573, 6816, 568, 606, 4998, 7226, 454, 1721, 5017, 269, 634, 7187, 476, 272, 270, 274, 568, 7768, 540, 645, 648, 531, 5983, 7370, 543, 519, 454, 338, 4822, 476, 273, 270, 274, 568, 7768, 540, 6371, 2244, 269, 3509 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 1012, 15776, 12340, 543, 23715, 686, 692, 7462, 901, 1888, 814, 4274, 30491, 454, 21801, 1640, 1923, 8921, 24419, 281, 476, 1789, 24762, 454, 15803, 281, 476, 1556, 454, 16274, 281, 476, 1626, 2904, 476, 1220, 280, 692, 2162, 15776, 12340, 543, 23715, 686, 692, 2421, 536, 9618, 520, 341, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 275, 281, 4905, 993, 454, 7021, 519, 2063, 1079, 1296, 267, 945, 1500, 811, 2724, 10115, 538, 6006, 2344, 267, 8350, 12340, 610, 23128, 686, 2496, 263, 272, 264, 15776, 12340, 1500, 606, 3328, 2132, 540, 476, 736, 260, 543, 23715, 686, 1500, 606, 3328, 2132, 540, 476, 276, 260, 780, 263, 273, 264, 23715, 686, 3323, 609, 1079, 2053, 607, 1454, 2724, 607, 15776, 12340, 780, 4692, 2576, 2491, 519, 3268, 2496, 29151, 910, 661, 692, 26765, 754, 776, 16588, 454, 15803, 281, 476, 14138, 280, 454, 16274, 281, 476, 6187, 7325, 476, 1220, 279, 454, 14188, 539, 281, 476, 1839, 2053, 454, 10287, 539, 676, 281, 272, 2818, 454, 2421, 513, 329, 27944, 276, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 275, 281, 2190, 993, 454, 296, 993, 3478, 519, 2626, 607, 1496, 4944, 334, 8814, 28488, 290, 264, 22535, 4944, 334, 8814, 6540, 22913, 1923, 8921, 24419, 281, 476, 4335, 24762, 454, 15803, 281, 476, 9340, 454, 16274, 281, 476, 2767, 9484, 476, 1220, 279, 454, 14188, 539, 281, 476, 272, 2053, 454, 2421, 512, 323, 19631, 10019, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 277, 281, 3953, 993, 454, 574, 849, 3478, 595, 1862, 4754, 2576, 2491, 5225, 269, 780, 29479, 26189, 528, 454, 15803, 281, 476, 4200, 454, 16274, 281, 476, 4962, 3057, 476, 1220, 280, 454, 19613, 281, 12924, 290, 454, 14188, 539, 281, 476, 6246, 2053, 454, 10287, 539, 676, 281, 280, 2818, 454, 29479, 24143, 281, 8517, 454, 2421, 8277, 12113, 516, 4275, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 278, 281, 6021, 993, 454, 3080, 540, 519, 1034, 1271, 4388, 594, 666, 2709, 593, 4578, 2672, 11797, 568, 547, 2628, 3007, 950, 519, 17918, 3947, 596, 513, 3787, 540, 1344, 1510, 10912, 1454, 3007, 547, 621, 780, 1103, 713, 2013, 267, 594, 993, 28798, 538, 593, 519, 1249, 602, 3948, 476, 272, 12909, 827, 519, 834, 320, 2071, 257, 7024, 1142, 1268, 4607, 780, 2414, 3715, 513, 3668, 540, 647, 11797, 267, 1317, 519, 2626, 568, 661, 267, 649, 991, 547, 1711, 513, 3510, 538, 799, 15776, 12340, 2306, 811, 543, 513, 3510, 538, 799, 23715, 686, 2306, 811, 780, 9928, 523, 9222, 476, 272, 910, 15776, 12340, 2306, 811, 454, 299, 525, 12340, 6238, 609, 1269, 1911, 543, 2306, 476, 736, 260, 1312, 1296, 269, 476, 1911, 263, 272, 269, 273, 7565, 272, 269, 273, 264, 815, 476, 13893, 23715, 686, 6238, 609, 259, 1220, 543, 2306, 4939, 276, 1312, 1296, 563, 1220, 263, 272, 269, 4962, 7565, 272, 269, 4962, 264, 815, 476, 13136, 269, 2004, 692, 2252, 649, 666, 2097, 909, 609, 513, 9183, 538, 799, 15776, 12340, 2306, 1447, 602, 1269, 736, 269, 2004, 267, 1287, 519, 2626, 1590, 581, 661, 269, 31950, 9222, 476, 273, 910, 23715, 686, 2306, 811, 15776, 12340, 6238, 609, 259, 1911, 269, 2701, 19380, 476, 2004, 260, 519, 1101, 1032, 543, 12374, 476, 3445, 260, 519, 2034, 1032, 269, 1284, 666, 798, 713, 267, 1317, 519, 3328, 540, 11196, 2004, 264, 543, 630, 3445, 264, 568, 476, 736, 563, 1911, 263, 269, 276, 7565, 272, 269, 280, 6661, 476, 4817, 692, 1103, 713, 9183, 267, 1352, 1705, 3328, 1341, 736, 260, 7024, 267, 855, 1352, 2965, 4503, 8096, 276, 936, 519, 1079, 1296, 780, 297, 846, 12113, 516, 4275, 454, 293, 10133, 543, 16628, 267, 918, 2908, 2023, 267, 5549, 563, 10059, 2517, 4178, 21993, 2908, 2023, 2593, 17320, 3901, 692, 26765, 754, 776, 16588, 454, 15803, 281, 476, 14138, 280, 454, 16274, 281, 476, 6187, 7325, 476, 1220, 279, 454, 14188, 539, 281, 476, 1839, 2053, 454, 10287, 539, 676, 281, 272, 2818, 454, 2421, 513, 329, 27944, 276, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 1015, 281, 5655, 993, 454, 297, 846, 10484, 296, 10924, 2418, 585, 700, 543, 918, 630, 298, 5595, 982, 700, 1040, 594, 7229, 476, 736, 260, 585, 700, 543, 476, 276, 260, 585, 918, 269, 594, 23060, 519, 2418, 547, 1205, 519, 2179, 585, 476, 273, 1296, 269, 1280, 782, 2418, 540, 700, 543, 918, 267, 594, 3893, 700, 11543, 811, 982, 918, 780, 1805, 10107, 547, 519, 1935, 594, 723, 4553, 267, 875, 666, 594, 1205, 630, 292, 264, 607, 519, 2626, 2496, 1892, 8525, 476, 272, 540, 476, 272, 0, 258, 1215, 798, 596, 1265, 519, 476, 277, 628, 2165, 538, 519, 12166, 5311, 476, 1839, 267, 476, 4037, 267, 476, 18597, 267, 476, 277, 4037, 267, 3267, 2496, 5575, 1265, 519, 1455, 5223, 1269, 337, 259, 4429, 259, 337, 815, 1422, 2765, 346, 4037, 2410, 1839, 348, 815, 476, 274, 14204, 277, 628, 2165, 1269, 284, 476, 277, 4037, 1422, 9392, 476, 274, 1422, 9392, 476, 274, 815, 476, 2568, 278, 276, 259, 0, 272, 269, 12361, 4982, 2526, 775, 4223, 4631, 692, 8923, 9414, 543, 1397, 803, 602, 875, 547, 1265, 30424, 5119, 540, 513, 2016, 5119, 589, 563, 10521, 4223, 4631, 589, 543, 645, 616, 1572, 30424, 952, 585, 1022, 1079, 1875, 1606, 532, 983, 14290, 623, 543, 1627, 971, 602, 267, 589, 284, 303, 289, 304, 563, 5522, 948, 269, 780, 273, 269, 1548, 798, 596, 1616, 4010, 286, 2353, 14290, 6697, 547, 4399, 6234, 589, 259, 2496, 274, 269, 7102, 835, 10756, 26625, 846, 519, 5119, 4399, 6234, 589, 7807, 3847, 24560, 8218, 346, 9795, 348, 476, 272, 1299, 476, 273, 1299, 476, 274, 11138, 476, 272, 1299, 476, 271, 1299, 476, 273, 11138, 476, 274, 1299, 910, 272, 1299, 476, 271, 8607, 315, 754, 346, 9795, 4153, 2431, 316, 259, 563, 10190, 875, 649, 666, 1265, 606, 6697, 5119, 540, 589, 2496, 275, 269, 4270, 267, 519, 15864, 543, 31945, 652, 2626, 568, 547, 1577, 4399, 6234, 623, 284, 304, 284, 296, 1422, 3667, 346, 543, 7684, 645, 815, 589, 10608, 2290, 1259, 547, 1265, 513, 2147, 5119, 568, 676, 1818, 519, 5119, 645, 581, 513, 5119, 609, 519, 27744, 540, 4399, 6234, 589, 259, 607, 519, 15497, 540, 4399, 6234, 645, 10608, 3973, 519, 5119, 4399, 6234, 623, 259, 1131, 723, 519, 7222, 14802, 27523, 607, 9587, 543, 4399, 6234, 1627, 815, 623, 13064, 272, 23201, 2334, 568, 267, 952, 4399, 6234, 22570, 14433, 10983, 267, 642, 10983, 7751, 568, 606, 14802, 335, 1515, 1287, 454, 7445, 6234, 645, 815, 1422, 8218, 32413, 348, 1422, 14433, 318, 272, 1299, 476, 271, 1299, 1422, 26984, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 14433, 318, 273, 1299, 1422, 26984, 1299, 476, 271, 8607, 1422, 341, 25854, 1299, 1299, 1422, 9536, 1824, 1299, 1422, 341, 25854, 8607, 476, 271, 1299, 1422, 26984, 1299, 476, 271, 1299, 1422, 14433, 5332, 17910, 32413, 21456, 663, 454, 7445, 6234, 623, 815, 1422, 8218, 32413, 348, 642, 318, 272, 1422, 26984, 642, 5332, 17910, 32413, 4151, 563, 5278, 6011, 594, 8969, 713, 568, 1018, 596, 616, 3168, 585, 780, 276, 269, 1809, 1775, 1589, 621, 568, 1019, 25830, 531, 2213, 5119, 10756, 4692, 649, 1491, 2147, 2261, 1182, 607, 6697, 14290, 888, 2026, 594, 917, 585, 2147, 14290, 649, 723, 513, 20060, 532, 983, 5119, 623, 521, 6745, 269, 4399, 6234, 589, 284, 303, 13064, 272, 348, 21990, 259, 543, 585, 6697, 14290, 649, 723, 1079, 20060, 532, 983, 14290, 521, 6745, 269, 4399, 6234, 589, 284, 303, 289, 304, 10608, 780, 277, 269, 4270, 267, 2147, 14290, 616, 6697, 676, 4214, 269, 4595, 4399, 6234, 623, 267, 303, 13064, 272, 4151, 616, 1875, 1606, 532, 983, 543, 2921, 4399, 6234, 623, 284, 303, 267, 304, 284, 303, 13064, 272, 4151, 649, 11886, 519, 4214, 780, 278, 269, 1411, 1767, 1354, 602, 596, 4941, 834, 1415, 257, 5119, 6697, 547, 589, 269, 1306, 594, 341, 548, 874, 1767, 267, 1491, 1022, 630, 514, 3200, 1043, 264, 476, 274, 676, 476, 274, 5119, 267, 623, 267, 1265, 1496, 23753, 316, 303, 13064, 272, 22042, 270, 4118, 9948, 663, 5173, 4399, 6234, 623, 4338, 13064, 272, 31859, 2252, 596, 4481, 1616, 513, 15497, 5119, 6697, 547, 589, 267, 607, 596, 3100, 547, 581, 6031, 1631, 267, 596, 1590, 1101, 6961, 602, 971, 693, 3364, 6818, 268, 602, 589, 568, 834, 10972, 21192, 14184, 257, 799, 568, 3020, 952, 543, 1152, 952, 589, 814, 476, 274, 4830, 14802, 27523, 269, 4495, 596, 723, 1336, 1346, 14802, 27523, 267, 1106, 519, 5119, 623, 2348, 519, 14802, 27523, 607, 9587, 269, 634, 4399, 6234, 667, 284, 623, 13064, 272, 348, 4338, 259, 568, 513, 15497, 5119, 6697, 547, 589, 269, 0, 29228, 7869, 281, 29277, 619, 667, 10308, 2742, 692, 1103, 1269, 333, 284, 273, 259, 1268, 630, 25669, 1269, 288, 259, 1299, 1269, 289, 259, 264, 26956, 781, 14196, 267, 519, 2009, 4093, 616, 1269, 5723, 267, 16671, 267, 7374, 267, 17584, 267, 24884, 259, 543, 519, 2628, 26160, 616, 18159, 272, 267, 272, 1070, 630, 271, 267, 274, 1070, 630, 274, 267, 271, 1070, 630, 273, 267, 273, 7751, 1141, 1269, 290, 259, 568, 834, 1723, 7774, 257, 543, 1269, 291, 259, 568, 834, 3698, 1254, 6231, 3086, 585, 1269, 333, 284, 274, 259, 18159, 288, 32390, 267, 290, 29408, 1269, 288, 259, 814, 1079, 5079, 630, 1721, 1269, 289, 267, 290, 259, 264, 543, 519, 1482, 585, 1269, 289, 259, 543, 1269, 290, 8961, 4061, 519, 4093, 616, 692, 11377, 8218, 346, 18091, 333, 6783, 15857, 16671, 4211, 290, 4211, 290, 267, 8607, 16671, 4211, 290, 4211, 291, 267, 8607, 16671, 4211, 290, 5937, 290, 267, 8607, 16671, 4211, 290, 5937, 291, 267, 8607, 1422, 25854, 1422, 754, 346, 18091, 333, 6783, 265, 15732, 663, 1269, 5038, 259, 971, 1866, 780, 1432, 786, 581, 519, 2628, 4752, 1287, 286, 594, 1810, 1405, 20053, 547, 1205, 519, 2407, 2628, 4752, 855, 519, 12191, 547, 5173, 519, 2628, 4752, 585, 2161, 1269, 7374, 5937, 291, 5937, 290, 16859, 4916, 281, 594, 2219, 540, 8840, 621, 883, 1269, 273, 259, 1268, 26956, 781, 14196, 899, 519, 1269, 7374, 5937, 291, 5937, 290, 259, 607, 1269, 7374, 267, 30250, 267, 9823, 8961, 6218, 519, 1367, 267, 7941, 676, 476, 274, 543, 2040, 621, 909, 269, 1772, 621, 4636, 547, 798, 602, 2496, 1892, 594, 1131, 8263, 519, 3014, 568, 1869, 21136, 543, 865, 519, 2628, 26160, 1058, 630, 5976, 514, 15340, 264, 4096, 1152, 593, 519, 1297, 540, 5716, 945, 8919, 281, 1280, 1383, 281, 2608, 952, 595, 6717, 267, 2628, 26160, 815, 630, 272, 267, 272, 267, 272, 5148, 2608, 952, 667, 6717, 2628, 26160, 815, 630, 274, 267, 271, 267, 271, 264, 630, 1492, 19157, 8919, 528, 814, 782, 519, 29541, 1379, 5148, 2608, 952, 667, 17584, 2628, 26160, 815, 630, 273, 267, 273, 267, 271, 264, 630, 6112, 519, 24625, 1807, 19380, 267, 9444, 8919, 528, 814, 782, 519, 15407, 5148, 2608, 952, 667, 24884, 2628, 26160, 815, 630, 273, 267, 273, 267, 273, 1040, 1411, 1223, 8044, 602, 519, 2628, 26160, 585, 667, 6717, 543, 667, 17584, 1058, 581, 1114, 547, 1018, 594, 6700, 1657, 910, 6148, 8919, 528, 4991, 1269, 285, 476, 274, 259, 585, 667, 6717, 267, 607, 646, 708, 27289, 1079, 1866, 286, 1107, 1109, 11321, 935, 3780, 7325, 476, 276, 1412, 1428, 693, 476, 1626, 281, 6860, 0, 258, 1215, 547, 6707, 4019, 12004, 532, 1446, 25919, 1062, 547, 5026, 25919, 543, 3094, 645, 5456, 2439, 25444, 538, 5026, 25919, 12752, 568, 6158, 827, 12004, 532, 1446, 25919, 1062, 563, 2691, 621, 2501, 547, 5026, 25919, 267, 621, 568, 3833, 2352, 547, 1265, 513, 1505, 602, 1568, 519, 5354, 540, 519, 942, 269, 594, 723, 2760, 2938, 513, 1505, 602, 5963, 1568, 543, 568, 849, 5812, 3379, 547, 519, 12004, 532, 1446, 25919, 1062, 780, 1692, 1281, 519, 12004, 532, 1446, 25919, 1062, 960, 2496, 2467, 616, 1100, 1950, 4834, 547, 27655, 1934, 282, 4896, 666, 3533, 1451, 543, 946, 519, 12004, 532, 1446, 1062, 269, 634, 1062, 1568, 1360, 1134, 952, 596, 616, 3978, 538, 5026, 25919, 780, 3674, 621, 2009, 547, 7118, 2724, 689, 13989, 543, 1118, 513, 2713, 689, 25919, 286 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 1518, 609, 5276, 2203, 454, 258, 5035, 525, 979, 547, 834, 821, 3905, 257, 10321, 607, 519, 2934, 269, 547, 3589, 267, 1491, 5207, 18176, 1362, 454, 258, 716, 1302, 649, 991, 1152, 562, 268, 272, 10321, 585, 562, 5049, 910, 568, 9494, 513, 4756, 4502, 811, 7294, 3830, 2496, 258, 20889, 883, 1079, 5049, 281, 1287, 666, 946, 2582, 3077, 4756, 609, 1341, 25773, 476, 272, 563, 3698, 19665, 10734, 2435, 6025, 1778, 6958, 3555, 267, 2530, 267, 5552, 267, 5635, 14682, 2784, 22561, 2187, 453, 258, 11907, 3898, 281, 535, 272, 267, 535, 273, 267, 535, 274, 267, 535, 275, 267, 1362, 454, 453, 258, 5035, 338, 883, 3097, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 263, 2562, 303, 7473, 318, 303, 26059, 267, 20927, 22561, 994, 453, 30221, 12774, 815, 3505, 671, 1092, 4732, 2217, 263, 2765, 284, 30221, 6958, 3555, 994, 453, 11687, 12774, 815, 3505, 671, 1092, 6155, 1886, 6025, 1778, 12774, 28827, 2020, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 318, 5035, 2305, 10734, 2435, 6025, 1778, 12774, 994, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 318, 5035, 2305, 10734, 2435, 6025, 652, 12774, 2020, 453, 30135, 815, 5721, 14682, 2784, 1304, 5091, 27853, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 2530, 267, 5552, 267, 5442, 296, 2316, 3201, 318, 4953, 288, 267, 661, 14011, 32707, 4353, 3041, 12778, 267, 661, 17269, 6224, 318, 299, 2894, 294, 8025, 267, 715, 9331, 318, 7968, 302, 6224, 306, 267, 5635, 14682, 2784, 994, 453, 335, 9438, 687, 17601, 815, 3589, 318, 15035, 318, 718, 6025, 1778, 318, 311, 318, 13774, 267, 12035, 2020, 453, 30221, 9078, 1601, 815, 2530, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 2866, 1305, 281, 834, 266, 1598, 6025, 1778, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 30221, 318, 312, 267, 11236, 17601, 1070, 7852, 815, 476, 272, 11723, 453, 335, 9438, 687, 15305, 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 568, 519, 6003, 267, 865, 782, 476, 275, 2338, 616, 2934, 454, 3698, 7941, 318, 5035, 2305, 10734, 2435, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 994, 453, 5035, 525, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 264, 1948, 928, 539, 713, 547, 1205, 676, 4994, 454, 453, 333, 815, 5049, 25915, 454, 453, 258, 271, 268, 272, 6152, 585, 1305, 6242, 610, 711, 563, 453, 312, 815, 5286, 25910, 9230, 333, 267, 272, 4917, 22610, 1775, 538, 2039, 3799, 2187, 453, 14851, 5049, 5157, 316, 2652, 834, 296, 5142, 1606, 564, 6242, 13426, 4848, 453, 312, 5157, 316, 815, 476, 272, 454, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 258, 3369, 7241, 7194, 649, 1616, 281, 6111, 3092, 3097, 3698, 7194, 10031, 16596, 692, 258, 821, 3620, 582, 8760, 883, 1614, 5049, 454, 3698, 19665, 318, 821, 318, 14653, 6025, 1778, 6958, 3555, 267, 2530, 267, 5552, 267, 5635, 14682, 2784, 22561, 2187, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 263, 2562, 303, 7473, 318, 303, 26059, 267, 20927, 22561, 994, 453, 30221, 12774, 815, 3505, 671, 1092, 4732, 2217, 263, 2765, 284, 30221, 6958, 3555, 994, 453, 11687, 12774, 815, 3505, 671, 1092, 6155, 1886, 6025, 1778, 12774, 28827, 2020, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 6025, 1778, 12774, 994, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 6025, 652, 12774, 2020, 453, 30135, 815, 5721, 14682, 2784, 1304, 5091, 27853, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 2530, 267, 5552, 267, 5442, 296, 2316, 3201, 318, 4953, 288, 267, 661, 14011, 32707, 4353, 3041, 12778, 267, 661, 17269, 6224, 318, 299, 2894, 294, 8025, 267, 715, 9331, 318, 7968, 302, 6224, 306, 267, 5635, 14682, 2784, 994, 453, 335, 9438, 687, 17601, 815, 3589, 318, 15035, 318, 718, 6025, 1778, 318, 311, 318, 13774, 267, 12035, 2020, 453, 30221, 9078, 1601, 815, 2530, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 2866, 1305, 281, 834, 266, 1598, 6025, 1778, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 30221, 318, 312, 267, 11236, 17601, 1070, 7852, 815, 476, 272, 11723, 453, 335, 9438, 687, 15305, 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 568, 519, 6003, 267, 865, 782, 476, 275, 2338, 616, 2934, 454, 3698, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 994, 453, 5035, 525, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 264, 1948, 928, 539, 713, 547, 1205, 676, 4994, 454, 453, 333, 815, 5049, 25915, 454, 453, 258, 821, 3620, 582, 6152, 585, 519, 5049, 454, 453, 312, 815, 5286, 25910, 9230, 333, 267, 715, 9331, 318, 12710, 19798, 2464, 4917, 22610, 1775, 538, 2039, 3799, 2187, 453, 453, 8161, 815, 14160, 19798, 318, 2793, 300, 2464, 28827, 263, 5035, 525, 5157, 7481, 453, 453, 312, 5157, 6012, 8161, 316, 815, 476, 272, 454, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 9239, 258, 13774, 7757, 1106, 585, 9273, 609, 9186, 281, 1039, 513, 6241, 540, 476, 272, 693, 519, 4098, 454, 258, 13092, 568, 513, 11885, 476, 273, 323, 5044, 454, 3698, 32433, 263, 13092, 2187, 453, 2169, 571, 815, 5286, 269, 2158, 9230, 13092, 17482, 314, 271, 3910, 272, 4917, 16596, 5286, 26769, 13906, 523, 622, 9230, 2169, 571, 267, 3312, 1070, 7852, 815, 476, 272, 2020, 258, 548, 1511, 14633, 13050, 1449, 281, 3589, 835, 1448, 1448, 609, 2203, 8036, 593, 782, 824, 2798, 454, 258, 4777, 713, 593, 782, 2798, 267, 1867, 3328, 7194, 454, 3698, 4734, 318, 821, 318, 719, 263, 995, 671, 1092, 2187, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 2891, 597, 529, 21606, 2580, 20927, 22561, 994, 22610, 1775, 538, 3505, 671, 1092, 28827, 912, 453, 453, 992, 815, 3505, 671, 1092, 7456, 665, 314, 314, 328, 14963, 1948, 603, 4737, 269, 1327, 5157, 316, 2306, 621, 513, 6241, 267, 1327, 314, 314, 328, 14963, 2306, 4737, 454, 453, 453, 6135, 815, 3505, 671, 1092, 6155, 1886, 263, 995, 671, 1092, 28827, 5157, 8079, 1948, 4958, 5281, 513, 5299, 609, 4737, 6569, 267, 1281, 711, 1860, 3312, 692, 453, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 6958, 324, 1155, 9078, 8475, 263, 6135, 994, 453, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 6958, 324, 1155, 9078, 8475, 21405, 2020, 258, 20889, 1239, 18134, 883, 1535, 543, 586, 2694, 267, 32433, 1535, 454, 3698, 7941, 6958, 324, 1155, 9078, 8475, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 264, 1948, 9690, 569, 711, 1210, 713, 454, 453, 312, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 274, 21875, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 258, 10623, 1155, 568, 1101, 476, 273, 2338, 267, 6003, 568, 1985, 476, 273, 269, 1869, 6749, 519, 8768, 5049, 454, 258, 10623, 2137, 11837, 676, 967, 525, 281, 476, 271, 267, 272, 9847, 476, 273, 267, 274, 453, 5976, 476, 275, 23987, 454, 3698, 7941, 318, 273, 6958, 324, 1155, 318, 273, 9078, 8475, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 264, 1948, 9690, 569, 711, 1210, 713, 454, 453, 312, 318, 273, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 274, 21875, 453, 312, 318, 272, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 273, 21875, 453, 312, 815, 5286, 26769, 13906, 523, 622, 9230, 312, 318, 272, 267, 312, 318, 273, 1070, 7852, 815, 476, 272, 994, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 3698, 1292, 10031, 453, 258, 338, 17532, 15305, 17601, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 10230, 14682, 2784, 1304, 15058, 263, 11743, 5334, 32464, 9078, 1601, 318, 30135, 1070, 5635, 14682, 2784, 815, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 338, 17532, 15305, 17601, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 18314, 5332, 10179, 673, 4671, 1173, 1115, 318, 2958, 1833, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 10230, 14682, 2784, 1304, 15058, 9852, 738, 328, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 4297, 258, 267, 5635, 14682, 2784, 815, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 18314, 5332, 10179, 673, 4671, 1173, 1115, 318, 2958, 1833, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 267, 5635, 14682, 2784, 815, 10230, 14682, 2784, 1304, 15058, 9852, 738, 328, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 4917, 453, 258, 5035, 1518, 10734, 2435, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 5035, 1518, 318, 821, 318, 14653, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 994, 0, 5228, 546, 831, 19668, 1104, 27661, 852, 815, 942, 6155, 520, 8135, 269, 852, 4590, 327, 712, 815, 1631, 19544, 712, 454, 604, 5662, 2999, 476, 1321, 912, 825, 1820, 2891, 14187, 6640, 5602, 19197, 5662, 3436, 476, 1321, 543, 5662, 2999, 476, 1240, 912, 825, 1820, 2891, 14187, 12784, 5602, 19197, 5662, 3436, 476, 1240, 543, 5662, 2999, 476, 866, 912, 825, 1820, 2891, 14187, 10543, 5602, 12828, 912, 825, 1820, 3488, 5970, 513, 8799, 3781, 9538, 2020, 3698, 3813, 1722, 1399, 10031, 825, 1820, 2891, 7666, 1841, 616, 1750, 6362, 707, 1286, 10371, 5602, 825, 1104, 942, 454, 825, 942, 4732, 2748, 263, 273, 994, 5913, 1722, 1399, 4590, 3698, 3556, 10031, 825, 1104, 942, 454, 825, 513, 815, 3403, 3488, 339, 820, 519, 19044, 726, 338, 4877, 816, 1022, 1883, 543, 4283, 547, 3136, 281, 30386, 15258, 4590, 3698, 18736, 10031, 825, 536, 815, 3403, 3488, 5257, 454, 825, 519, 1152, 6288, 902, 616, 693, 912, 825, 513, 4877, 1046, 532, 2603, 476, 2537, 454, 825, 536 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7830, 264, 5602, 19387, 20216, 31146, 16868, 257, 12133, 883, 3593, 2418, 18011, 288, 268, 19740, 3299, 1412, 299, 13453, 3299, 476, 4281, 264, 5602, 19387, 25379, 4590, 935, 333, 2593, 2466, 4590, 935, 333, 25379, 10797, 3698, 1205, 23962, 18425, 263, 869, 267, 14683, 2187, 453, 258, 1412, 476, 13213, 498, 18713, 508, 418, 490, 485, 27936, 26166, 12255, 25060, 374, 25426, 368, 7511, 12571, 491, 21211, 8147, 418, 490, 487, 26166, 12255, 10524, 492, 12916, 492, 28996, 421, 360, 502, 26406, 496, 31365, 1412, 454, 453, 339, 787, 912, 453, 453, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 11687, 6155, 321, 5073, 453, 453, 19387, 815, 598, 333, 269, 19387, 4590, 453, 453, 258, 17276, 487, 356, 27310, 418, 509, 354, 13644, 351, 13644, 511, 9463, 354, 912, 453, 453, 19387, 20216, 31146, 3488, 572, 937, 2608, 689, 3593, 1141, 7790, 27045, 6060, 543, 6060, 10922, 286, 1931, 676, 6060, 10841, 3299, 263, 869, 267, 14683, 4917, 453, 453, 258, 29635, 492, 371, 23523, 501, 418, 509, 354, 13644, 351, 14756, 497, 31563, 421, 505, 484, 912, 453, 453, 11161, 815, 23684, 8807, 21255, 718, 4590, 453, 21955, 1401, 4003, 607, 552, 912, 453, 13537, 16216, 994, 28432, 912, 453, 13537, 3488, 935, 333, 568, 21453, 30386, 453, 325, 3373, 912, 453, 453, 19387, 25379, 4590, 453, 453, 935, 333, 25379, 3890, 28768, 16596, 1496, 328, 314, 272, 316, 585, 1775, 538, 2418, 6540, 258, 17276, 369, 489, 13644, 499, 912, 16386, 1205, 23962, 18425, 263, 3199, 267, 476, 4817, 264, 2652, 18358, 3849, 600, 28710, 1205, 23962, 18425, 263, 3199, 267, 476, 4817, 994, 16386, 1205, 23962, 18425, 263, 2568, 267, 476, 3199, 264, 2652, 18358, 289, 691, 3299, 1412, 299, 13453, 28710, 1205, 23962, 18425, 263, 2568, 267, 476, 3199, 994, 16386, 1205, 23962, 18425, 263, 2568, 267, 476, 1911, 264, 2652, 18358, 289, 691, 3299, 1412, 299, 13453, 3299, 1412, 3849, 600, 28710, 1205, 23962, 18425, 263, 2568, 267, 476, 1911, 2020, 2745, 3488, 27879, 17210, 0, 5814, 1770, 11687, 454, 5228, 17511, 1104, 16515, 921, 692, 7246, 311, 318, 303, 8582, 2207, 815, 476, 736, 692, 3698, 28550, 15461, 16062, 31856, 7272, 1077, 6025, 2830, 281, 10581, 264, 9847, 16515, 921, 27776, 267, 703, 28660, 825, 1219, 1379, 6025, 2830, 281, 10581, 264, 9847, 703, 912, 1038, 1379, 23631, 9134, 815, 10790, 311, 318, 303, 8582, 2207, 2608, 28550, 454, 1038, 2132, 703, 263, 7246, 311, 318, 303, 8582, 2207, 910, 1379, 23631, 9134, 2020, 825, 2451, 4671, 2830, 476, 815, 910, 2381, 6025, 2830, 267, 476, 271, 994, 825, 1318, 4671, 2830, 815, 3193, 6025, 2830, 267, 476, 271, 994, 825, 2451, 7272, 1077, 476, 815, 1379, 263, 3847, 4671, 2830, 994, 825, 1318, 7272, 1077, 815, 1379, 263, 2431, 4671, 2830, 994, 825, 2132, 2451, 7272, 1077, 267, 1318, 7272, 1077, 692, 1721, 562, 538, 2039, 8987, 1015, 267, 476, 1556, 267, 476, 273, 2187, 825, 28550, 815, 562, 1315, 476, 1015, 269, 271, 454, 825, 1820, 6025, 2830, 267, 28550, 15461, 16062, 31856, 7272, 1077, 6025, 2830, 11723, 325, 815, 28550, 15461, 16062, 31856, 7272, 1077, 692, 5035, 4530, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1449, 14067, 571, 697, 4311, 2187, 1038, 1582, 27863, 6600, 263, 271, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 20189, 2788, 318, 3847, 4311, 2187, 1038, 1582, 27863, 6600, 8987, 271, 269, 276, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 1315, 476, 273, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 318, 3847, 4311, 2187, 1038, 1582, 27863, 6600, 8987, 272, 1070, 630, 271, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 20189, 2788, 318, 2431, 4311, 2187, 1038, 1582, 27863, 6600, 263, 271, 269, 276, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 10790, 311, 318, 303, 8582, 2207, 1315, 476, 273, 11723, 825, 1219, 1449, 318, 2431, 4311, 2187, 1038, 1582, 27863, 6600, 263, 272, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 476, 271, 4917 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 3848, 476, 278, 281, 21091, 28814, 5004, 538, 29972, 543, 2052, 10109, 529, 4980, 10474, 692, 5970, 596, 2479, 1185, 10860, 28117, 707, 4677, 286, 9320, 930, 26240, 5652, 12961, 4956, 602, 707, 4190, 5388, 941, 741, 1985, 7594, 256, 4270, 267, 972, 781, 513, 1259, 547, 4308, 609, 891, 13311, 8436, 1247, 1373, 2186, 547, 938, 1604, 910, 621, 781, 1572, 21091, 28814, 5004, 630, 7709, 300, 1040, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 1294, 875, 649, 666, 1831, 15705, 22254, 2439, 4089, 476, 272, 281, 1548, 568, 7379, 300, 2496, 5331, 2348, 513, 2319, 540, 3713, 1161, 945, 960, 1927, 547, 1832, 707, 2371, 2922, 855, 1810, 1405, 2014, 2800, 547, 824, 2713, 7068, 610, 519, 4541, 269, 2334, 781, 4010, 1018, 7379, 300, 1281, 256, 898, 781, 513, 4640, 602, 3096, 1455, 2631, 543, 2413, 2029, 547, 4383, 10860, 3927, 269, 5502, 540, 1175, 1025, 8463, 873, 609, 6464, 899, 513, 3552, 7178, 521, 615, 858, 267, 7379, 300, 2337, 721, 1174, 1946, 10860, 1397, 909, 543, 11414, 721, 1114, 2081, 547, 1852, 873, 780, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 7379, 300, 2496, 3086, 596, 1522, 4898, 267, 834, 3963, 798, 594, 991, 547, 1451, 827, 7379, 300, 286, 645, 13903, 616, 14407, 10590, 1809, 1934, 781, 519, 3364, 281, 1210, 1932, 1082, 6464, 666, 10413, 811, 982, 1175, 519, 3983, 16921, 269, 1358, 666, 849, 1860, 824, 2831, 267, 1004, 267, 543, 1256, 519, 3037, 3294, 256, 1635, 8026, 7379, 300, 267, 649, 666, 1711, 8902, 10651, 267, 2149, 6000, 543, 1866, 267, 543, 8190, 2470, 781, 10347, 3666, 269, 9578, 267, 5329, 1919, 3039, 543, 4264, 5036, 513, 1390, 1383, 585, 3025, 1472, 721, 780, 4089, 476, 274, 281, 1215, 6496, 7379, 300, 4518, 2496, 5978, 7379, 300, 19792, 27805, 5205, 2185, 3268, 547, 4194, 1022, 11641, 1966, 1384, 3721, 476, 272, 281, 10576, 519, 10546, 269, 18833, 799, 11641, 814, 22983, 707, 8513, 568, 2629, 1317, 1114, 10860, 2154, 1585, 2994, 269, 6884, 789, 949, 711, 1256, 581, 10860, 1107, 789, 1223, 581, 5363, 7786, 610, 2067, 11975, 256, 1924, 2322, 593, 707, 3206, 1698, 543, 1577, 781, 4137, 856, 945, 781, 4929, 782, 519, 535, 1380, 780, 3721, 476, 273, 281, 5590, 2962, 29676, 269, 6969, 17259, 883, 6370, 267, 6430, 950, 621, 781, 942, 547, 1491, 2962, 269, 2991, 782, 267, 513, 1906, 30065, 12961, 5749, 1405, 4502, 9561, 3207, 936, 256, 17553, 7182, 5849, 602, 649, 1152, 26544, 950, 2556, 267, 4227, 11991, 946, 540, 8060, 780, 3721, 476, 274, 281, 7994, 519, 1655, 2359, 2553, 269, 3767, 2501, 519, 1187, 851, 256, 1703, 616, 7899, 540, 10357, 7888, 2409, 547, 3442, 689, 267, 971, 607, 2168, 7496, 267, 20637, 267, 561, 999, 267, 543, 7874, 1814, 1562, 899, 14799, 30471, 543, 20151, 269, 4634, 1216, 267, 1769, 267, 3002, 267, 543, 3280, 666, 948, 1832, 10860, 2476, 256, 5457, 267, 3006, 3257, 4986, 693, 782, 568, 519, 1655, 4781, 2094, 2470, 1419, 3217, 1416, 540, 2042, 593, 922, 1378, 780, 3721, 476, 275, 281, 21414, 519, 2164, 269, 3776, 2816, 3884, 1405, 2944, 2899, 649, 4312, 6074, 513, 4480, 269, 1284, 1590, 6895, 519, 3510, 5702, 547, 2327, 938, 1544, 1568, 269, 1403, 711, 267, 649, 979, 1394, 547, 1900, 835, 543, 2119, 1586, 2394, 11802, 568, 23600, 2439, 4089, 476, 275, 281, 32027, 7379, 300, 20553, 11059, 692, 4131, 781, 3142, 713, 1702, 547, 1272, 676, 3695, 875, 7379, 300, 10039, 547, 17089, 14713, 269, 2755, 15267, 1522, 3100, 899, 513, 6738, 5346, 1888, 267, 1620, 922, 1747, 1369, 12202, 666, 8141, 7279, 543, 8300, 3743, 5079, 2663, 538, 1272, 269, 3807, 899, 1022, 2030, 267, 17089, 8188, 10860, 543, 3676, 602, 21279, 2208, 269, 4635, 7379, 300, 3741, 267, 25210, 2824, 519, 1034, 2500, 2943, 13476, 6213, 3435, 547, 2226, 2635, 7031, 269, 901, 2640, 1312, 6800, 3168, 585, 1164, 7779, 2472, 543, 12624, 3047, 9887, 2439, 2026, 2104, 25330, 540, 938, 4541, 267, 1565, 827, 7379, 300, 1631, 22316, 596, 547, 10994, 1483, 8996, 2591, 609, 6015, 543, 8296, 269, 2060, 1169, 17079, 4857, 543, 1142, 11641, 7307, 19100, 267, 596, 2811, 4742, 606, 1898, 6345, 538, 8497, 9265, 543, 2870, 513, 22928, 14182, 269, 10158, 547, 979, 267, 27503, 3235, 6048, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16215, 24163, 3194, 7433, 454, 268, 13379, 281, 476, 1556, 260, 540, 1576, 3446, 454, 268, 9603, 281, 13638, 267, 476, 6860, 270, 1240, 270, 1708, 274, 476, 1556, 281, 6795, 6751, 630, 290, 4306, 994, 9743, 15297, 6962, 543, 17593, 10287, 519, 8846, 2630, 585, 519, 12032, 540, 519, 3932, 543, 7493, 7084, 585, 5149, 24163, 269, 1403, 596, 723, 2055, 267, 5225, 4757, 707, 7548, 585, 6351, 10422, 17123, 281, 634, 3483, 540, 713, 7084, 568, 547, 2347, 707, 4081, 12819, 1382, 1957, 269, 20373, 281, 769, 713, 7084, 267, 596, 786, 1101, 2328, 707, 3932, 282, 1287, 267, 596, 786, 2328, 707, 7493, 269, 634, 1739, 3334, 616, 4170, 540, 519, 7084, 912, 268, 4860, 529, 527, 519, 15784, 563, 268, 22716, 1125, 519, 3978, 1145, 540, 519, 15784, 563, 268, 8382, 519, 968, 3383, 1018, 9495, 2243, 563, 268, 21909, 513, 2489, 3070, 630, 28436, 1916, 268, 11910, 585, 4656, 270, 9146, 563, 268, 23680, 519, 5467, 609, 513, 3803, 2219, 563, 20082, 281, 1280, 713, 7084, 267, 707, 3932, 543, 7493, 1590, 581, 693, 2547, 835, 2985, 538, 3259, 563, 268, 10163, 622, 618, 540, 519, 15784, 630, 821, 547, 1079, 5220, 994, 268, 2659, 5098, 630, 821, 4845, 994, 268, 30258, 630, 22764, 547, 2185, 2366, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18204, 3603, 28814, 5004, 630, 7709, 300, 17983, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 631, 15097, 4980, 10474, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 9839, 23299, 5004, 281, 589, 6733, 693, 14044, 6435, 619, 692, 5970, 596, 2479, 4862, 540, 2295, 5821, 286, 3143, 267, 621, 3085, 1405, 1611, 707, 2295, 13515, 2324, 4625, 269, 5502, 267, 2295, 5821, 4523, 950, 707, 2295, 3884, 1405, 2111, 547, 6802, 1973, 607, 1134, 607, 621, 1058, 269, 901, 666, 1291, 547, 1082, 2042, 1317, 707, 1560, 2115, 5135, 543, 5567, 602, 616, 5645, 998, 707, 1973, 269, 1879, 707, 2295, 666, 1405, 6802, 2614, 1973, 267, 891, 30304, 1810, 1405, 1205, 1141, 789, 991, 547, 979, 780, 3086, 4952, 2348, 513, 2783, 899, 2295, 5821, 950, 596, 2097, 689, 513, 1970, 13867, 4282, 269, 898, 1223, 1831, 3833, 4101, 2094, 1004, 609, 2295, 5821, 1419, 723, 2362, 8458, 540, 13059, 547, 519, 6413, 269, 1452, 7928, 11564, 1522, 2014, 2566, 585, 1312, 519, 1268, 945, 779, 796, 6202, 543, 741, 6068, 3283, 269, 2334, 781, 1946, 4466, 2081, 547, 4383, 2295, 5821, 3927, 3587, 1256, 811, 2565, 780, 3080, 1259, 930, 10506, 616, 4543, 2550, 1732, 6023, 2295, 5821, 568, 676, 1210, 1945, 1572, 968, 1345, 13282, 1848, 8682, 13282, 1797, 2921, 3268, 547, 1491, 1434, 1416, 540, 3054, 865, 596, 666, 3251, 2635, 269, 1280, 2576, 609, 2295, 5821, 267, 1582, 13282, 2882, 1919, 899, 8384, 1018, 596, 3548, 267, 20604, 3054, 3232, 267, 19551, 6527, 267, 543, 9363, 3742, 269, 1809, 3006, 1565, 782, 891, 1007, 1983, 666, 1745, 11566, 256, 29836, 363, 692, 6546, 781, 1141, 2029, 2501, 883, 1404, 256, 2368, 13085, 8186, 3357, 909, 609, 513, 9735, 2856, 1765, 6748, 7874, 5691, 3425, 547, 4001, 2295, 5821, 1582, 13282, 1210, 513, 5985, 813, 269, 5994, 2348, 513, 5363, 3659, 2713, 538, 707, 6049, 945, 6487, 3388, 827, 5883, 2295, 5821, 256, 1358, 666, 2626, 2055, 267, 1683, 4388, 267, 7618, 596, 827, 1199, 338, 267, 543, 5000, 596, 1169, 1554, 269, 1215, 3579, 1131, 602, 581, 26834, 9462, 502, 492, 692, 1607, 5499, 5985, 3498, 267, 3957, 1775, 29587, 308, 267, 6663, 547, 4497, 2550, 609, 2295, 5821, 538, 1187, 267, 7317, 2238, 547, 1451, 543, 2259, 1582, 13282, 269, 1635, 1818, 1582, 13282, 11791, 267, 3755, 786, 2693, 6529, 547, 741, 13467, 3476, 267, 3056, 547, 4824, 1072, 4093, 269, 1656, 7058, 1018, 286, 4635, 971, 606, 813, 6971, 1022, 25254, 10509, 7496, 543, 8952, 3790, 1524, 1247, 5356, 606, 5863, 569, 2067, 1995, 15025, 609, 519, 3593, 780, 4131, 803, 5862, 513, 4605, 540, 875, 713, 1522, 1413, 281, 835, 1554, 267, 12756, 7959, 8049, 827, 1200, 8192, 9993, 269, 2701, 10741, 519, 1775, 29587, 308, 813, 543, 6238, 10004, 1154, 609, 1200, 5691, 14609, 344, 267, 834, 10870, 778, 25562, 1701, 12756, 12134, 267, 834, 3963, 666, 1405, 594, 3548, 30644, 3536, 8119, 3213, 778, 25562, 30491, 267, 834, 15124, 2243, 256, 14856, 1932, 1454, 6070, 2306, 707, 1560, 11677, 1216, 799, 12662, 3063, 2604, 593, 707, 2907, 10010, 2295, 269, 2913, 781, 1265, 26345, 10346, 1927, 602, 3970, 9770, 10590, 3767, 12756, 814, 4121, 1945, 3407, 6730, 1336, 513, 17705, 7594, 4781, 256, 9462, 491, 368, 692, 4415, 2645, 899, 1775, 29587, 308, 267, 649, 666, 7668, 3214, 899, 9358, 547, 1174, 1950, 2564, 2175, 543, 2671, 713, 1344, 609, 2828, 543, 1920, 2818, 269, 1924, 1985, 942, 596, 5873, 827, 2295, 5821, 610, 824, 10108, 267, 3314, 602, 972, 616, 2141, 3860, 3435, 856, 972, 547, 1489, 3025, 3238, 269, 5808, 6785, 5883, 938, 12271, 1223, 581, 1500, 4443, 609, 513, 2370, 3059, 9059, 26834, 32273, 357, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25889, 281, 9839, 5821, 630, 295, 293, 264, 3123, 1713, 2804, 543, 1480, 2065, 11411, 585, 2550, 543, 741, 3885, 267, 2523, 1346, 609, 513, 1970, 4747, 267, 14356, 1813, 547, 1164, 6413, 1224, 3939, 3928, 269, 8838, 2711, 1582, 13282, 568, 2808, 606, 1271, 1875, 874, 29108, 1670, 2460, 540, 670, 293, 2359, 602, 666, 2087, 1072, 4093, 269, 24021, 2963, 5267, 602, 1582, 31193, 19443, 676, 16335, 8924, 949, 2569, 556, 327, 2214, 1388, 1436, 3928, 543, 2087, 519, 2298, 540, 1272, 540, 2550, 269, 1284, 2919, 513, 5691, 1480, 1700, 817, 13554, 267, 3461, 19721, 5985, 1072, 813, 630, 328, 29587, 308, 264, 585, 2550, 609, 670, 293, 547, 3986, 741, 6278, 538, 1582, 31193, 543, 2087, 741, 2792, 609, 1072, 1416, 7426, 543, 1920, 15637, 269, 1775, 29587, 308, 949, 948, 2550, 609, 670, 293, 538, 1582, 31193, 547, 2569, 519, 2930, 1702, 543, 32636, 11064, 1247, 4509, 513, 1970, 1942, 543, 2067, 267, 2500, 1514, 5872, 609, 519, 3593, 563, 29020, 281, 2060, 513, 13387, 9836, 32636, 4879, 267, 713, 1353, 1185, 1079, 6859, 281, 630, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29587, 23299, 5004, 257, 607, 851, 540, 834, 25503, 1315, 9315, 5735, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 28518, 12567, 13437, 543, 11773, 542, 31896, 538, 17164, 762, 25052, 692, 296, 269, 4985, 692, 294, 731, 2287, 3340, 9639, 267, 11428, 267, 543, 16994, 8343, 269, 634, 8574, 540, 942, 2636, 721, 547, 2708, 938, 10651, 262, 3356, 543, 2697, 2127, 602, 991, 6454, 269, 901, 3184, 6212, 593, 10442, 10448, 4677, 2773, 543, 7598, 19588, 9544, 2994, 269, 1635, 6313, 519, 1646, 540, 707, 5388, 543, 1818, 5483, 3664, 827, 7693, 10047, 543, 4562, 13589, 267, 596, 666, 11126, 11729, 543, 2226, 3037, 12680, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 10060, 321, 15085, 269, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 4178, 269, 2006, 1771, 13231, 344, 7666, 728, 2593, 270, 1873, 582, 20400, 6361, 10595, 850, 591, 21867, 4586, 298, 327, 15401, 599, 10045, 267, 589, 269, 630, 1001, 278, 267, 5437, 476, 1626, 1040, 1215, 10060, 321, 15085, 1786, 14954, 513, 6793, 6940, 6125, 269, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 4178, 3052, 2240, 321, 714, 2593, 270, 14835, 270, 6011, 3613, 16808, 15085, 1532, 4319, 539, 268, 17641, 518, 1606, 7739, 1464, 1532, 1180, 4586, 17556, 1597, 9149, 269, 630, 1001, 280, 267, 5147, 476, 276, 1040, 1772, 10060, 321, 15085, 2965, 3978, 827, 2825, 6940, 286, 8158, 5437, 476, 2641, 267, 476, 1001, 280, 267, 689, 4179, 2517, 750, 2358, 16691, 270, 1001, 280, 270, 5881, 270, 4962, 270, 529, 3613, 16808, 15085, 19840, 1302, 1606, 518, 1190, 268, 12671, 10276, 16652, 1606, 7739, 1464, 270, 4586, 306, 7739, 3315, 9455, 269, 630, 1001, 280, 1040, 5822, 6261, 691, 344, 32722, 10060, 321, 15085, 20885, 20607, 269, 9815, 3315, 9455, 5822, 6261, 691, 344, 32722, 5623, 563, 2171, 723, 936, 476, 5611, 267, 1822, 266, 1353, 6054, 547, 948, 596, 2529, 793, 5455, 585, 17676, 0, 296, 1869, 3314, 1250, 1101, 3440, 9226, 630, 23911, 1036, 3780, 1916, 296, 1185, 2907, 6854, 513, 1906, 15315, 267, 855, 789, 941, 782, 3833, 562, 2089, 344, 269, 1924, 267, 594, 729, 3833, 6126, 547, 4584, 909, 513, 3440, 9226, 267, 607, 519, 2249, 568, 4583, 585, 1373, 9543, 563, 4002, 519, 1259, 1753, 689, 519, 4620, 4558, 267, 594, 11074, 547, 4584, 909, 1250, 2370, 11078, 689, 1153, 269, 594, 729, 865, 9599, 827, 1250, 1007, 3440, 9226, 602, 594, 3576, 519, 13131, 856, 543, 3323, 10213, 1200, 782, 827, 621, 563, 2108, 19284, 1082, 824, 15315, 2223, 594, 2909, 13949, 267, 968, 10472, 835, 568, 1360, 512, 877, 269, 769, 1249, 267, 3440, 533, 2814, 976, 616, 4440, 835, 540, 519, 23984, 652, 2249, 538, 519, 702, 331, 2507, 7536, 3719, 1354, 594, 1223, 9096, 519, 4845, 267, 519, 13131, 13351, 856, 543, 3787, 803, 2047, 593, 519, 9224, 563, 2005, 729, 513, 1360, 5634, 11116, 267, 855, 621, 6026, 803, 513, 1360, 1271, 3992, 827, 15315, 912, 11854, 2886, 1419, 8858, 3376, 21274, 267, 855, 1142, 3662, 568, 606, 1367, 267, 609, 922, 1378, 18144, 267, 2392, 850, 2388, 267, 543, 2115, 269, 5901, 713, 538, 2247, 607, 649, 1865, 3440, 533, 2814, 976, 538, 519, 1739, 9433, 269, 634, 1416, 20786, 5941, 786, 6157, 960, 585, 519, 5354, 540, 3440, 533, 2814, 976, 269, 1809, 596, 3580, 12212, 723, 547, 1118, 11941, 547, 2327, 606, 1367, 13131, 29263, 563, 3383, 267, 621, 568, 1271, 547, 1451, 782, 596, 666, 827, 3440, 533, 2814, 976, 1354, 596, 6718, 835, 269, 901, 786, 2285, 596, 519, 1655, 4960, 540, 5329, 707, 1007, 4620, 2635, 543, 6126, 563, 7069, 3355, 18941, 729, 2953, 1107, 3440, 533, 2814, 976, 616, 3335, 1360, 2703, 850, 15315, 269, 1717, 267, 602, 1880, 3440, 9226, 1131, 979, 593, 547, 11116, 803, 585, 1296, 267, 18445, 602, 596, 723, 547, 581, 4712, 585, 4376, 950, 5329, 891, 15813, 2831, 563, 30761, 623, 2814, 976, 281, 16797, 12700, 454, 6524, 649, 2007, 2620, 883, 519, 7350, 267, 2623, 543, 1416, 540, 3440, 533, 2814, 976, 267, 1577, 779, 2689, 513, 1906, 540, 519, 1034, 1271, 5013, 827, 519, 2249, 912, 268, 11831, 533, 2814, 976, 616, 5065, 547, 7262, 543, 3844, 4000, 267, 1141, 789, 5097, 9468, 26377, 543, 1930, 7733, 563, 268, 6145, 1034, 824, 533, 2814, 976, 267, 3440, 533, 2814, 976, 616, 27248, 2831, 945, 616, 3335, 1034, 3742, 693, 3781, 563, 268, 11831, 533, 2814, 976, 616, 711, 9006, 10535, 282, 789, 6146, 741, 10352, 3842, 1526, 9689, 563, 268, 11831, 533, 2814, 976, 267, 899, 782, 824, 533, 2814, 976, 267, 723, 8143, 13364, 1472, 741, 28182, 267, 799, 5512, 873, 547, 3713, 3002, 563, 268, 1323, 4212, 2000, 11691, 2249, 267, 3440, 533, 2814, 976, 3335, 3132, 476, 273, 547, 476, 1015, 5798, 829, 1032, 563, 268, 11831, 533, 2814, 976, 946, 513, 4999, 540, 3742, 21786, 1782, 543, 5605, 2313, 2553, 547, 7001, 10352, 563, 268, 1403, 12219, 676, 513, 23246, 267, 3440, 533, 2814, 976, 786, 1419, 5066, 883, 513, 9395, 3440, 547, 2149, 741, 2212, 543, 8405, 563, 268, 4014, 789, 616, 5097, 18714, 15315, 267, 3440, 533, 2814, 976, 12212, 18214, 4054, 543, 26965, 563, 268, 4107, 3440, 533, 2814, 976, 616, 804, 611, 538, 513, 5266, 8984, 4806, 1500, 909, 540, 3109, 267, 6960, 543, 15454, 18565, 267, 855, 789, 1869, 8858, 3833, 513, 3787, 540, 1367, 8390, 563, 30761, 5124, 22845, 454, 30761, 533, 2814, 976, 723, 519, 1482, 2596, 1560, 1544, 607, 1034, 824, 533, 2814, 976, 267, 855, 789, 849, 8858, 513, 1906, 2934, 602, 616, 2189, 547, 519, 2249, 563, 2690, 1383, 267, 3440, 533, 2814, 976, 723, 5266, 5394, 4703, 3448, 547, 741, 3259, 269, 1717, 267, 789, 5749, 1406, 607, 726, 2794, 607, 1973, 630, 23911, 1490, 784, 619, 2742, 328, 264, 610, 2110, 26904, 533, 2814, 976, 630, 23911, 1225, 339, 639, 1070, 6862, 616, 789, 5180, 538, 3444, 16687, 1107, 3440, 533, 2814, 976, 723, 10199, 21083, 4703, 563, 4002, 519, 824, 1688, 267, 3440, 533, 2814, 976, 1107, 899, 1973, 543, 2110, 26904, 533, 2814, 976, 1107, 723, 1360, 2110, 21217, 269, 9521, 24095, 543, 3529, 533, 2814, 976, 267, 945, 723, 1279, 840, 2380, 850, 21217, 602, 5351, 538, 16246, 267, 3440, 533, 2814, 976, 723, 588, 719, 21217, 267, 799, 5749, 1406, 3226, 840, 2380, 850, 563, 30761, 533, 2814, 976, 849, 723, 5266, 7522, 683, 4242, 269, 1656, 4352, 519, 3483, 540, 713, 26715, 9542, 3884, 1406, 598, 13254, 6956, 267, 930, 24370, 1125, 602, 6094, 683, 4242, 948, 3440, 533, 2814, 976, 1526, 2774, 10352, 538, 519, 9395, 3276, 4900, 543, 2165, 924, 544, 2432, 538, 799, 789, 1419, 6968, 563, 7661, 267, 899, 1034, 824, 533, 2814, 976, 267, 3440, 533, 2814, 976, 4865, 968, 4944, 2720, 892, 593, 1312, 5011, 540, 741, 642, 757, 563, 8967, 2720, 616, 519, 22514, 580, 658, 24790, 540, 15493, 7953, 269, 1358, 616, 711, 1031, 585, 21525, 10056, 267, 855, 789, 616, 3006, 1031, 1282, 9960, 1107, 519, 9038, 786, 804, 1177, 693, 519, 5011, 540, 513, 4775, 547, 948, 1847, 1200, 883, 519, 1697, 2990, 269, 631, 2297, 3335, 723, 5594, 3677, 838, 2720, 982, 8951, 267, 855, 972, 616, 17756, 563, 29638, 281, 1215, 547, 11557, 513, 11831, 5124, 888, 2252, 596, 1616, 547, 8308, 3313, 519, 3023, 540, 513, 3440, 9226, 267, 596, 3580, 3335, 991, 547, 946, 513, 16243, 3613, 324, 601, 16785, 547, 4983, 519, 3330, 540, 922, 27972, 20403, 269, 901, 3340, 513, 3787, 540, 5578, 543, 1702, 827, 3440, 9226, 14169, 267, 865, 713, 568, 513, 4305, 1655, 2451, 547, 4810, 1832, 619, 543, 1654, 1206, 563, 300, 1446, 3440, 533, 2814, 976, 267, 899, 782, 824, 5256, 15315, 267, 723, 19610, 10285, 8219, 267, 1572, 8280, 760, 25333, 269, 1452, 8280, 760, 25333, 7363, 21078, 3330, 519, 2766, 3490, 540, 513, 5256, 267, 538, 606, 30141, 10066, 269, 1879, 621, 568, 942, 547, 9742, 267, 519, 13131, 786, 2479, 339, 835, 540, 519, 8280, 760, 25333, 267, 543, 7696, 621, 883, 519, 27972, 20403, 540, 513, 4775, 563, 6097, 569, 267, 950, 513, 5374, 16785, 568, 17332, 883, 519, 2766, 3490, 540, 513, 5256, 538, 519, 1697, 6073, 267, 621, 786, 2951, 1524, 519, 3330, 630, 23855, 1227, 519, 3544, 2627, 267, 607, 519, 8280, 760, 523, 529, 568, 30141, 264, 540, 519, 8280, 760, 523, 529, 269, 901, 786, 1450, 519, 16785, 547, 23309, 5266, 7184, 563, 3528, 4334, 267, 950, 17332, 883, 519, 3490, 540, 513, 4775, 779, 2766, 267, 519, 16785, 786, 4283, 513, 13719, 1569, 800, 14189, 267, 3079, 540, 513, 8280, 760, 523, 529, 269, 901, 1797, 519, 16785, 786, 711, 2951, 1360, 2484, 883, 519, 2766, 3490, 540, 513, 4775, 563, 21446, 8271, 267, 596, 666, 3313, 519, 3023, 540, 1762, 3440, 533, 2814, 976, 998, 513, 1505, 1634, 607, 968, 16647, 4771, 1848, 901, 3322, 7311, 9543, 2604, 593, 519, 3490, 540, 519, 2766, 269, 1879, 713, 4523, 267, 519, 8280, 760, 25333, 540, 9038, 786, 3335, 2479, 339, 630, 528, 968, 16647, 856, 25257, 3850, 596, 547, 2697, 519, 3662, 607, 513, 5256, 269, 3143, 8280, 760, 25333, 786, 581, 7298, 950, 513, 4775, 779, 2766, 568, 1402, 6244, 563, 23917, 1299, 13379, 281, 1215, 8262, 1684, 11831, 623, 2814, 976, 5192, 888, 30761, 533, 2814, 976, 616, 3335, 9833, 607, 1507, 547, 5420, 13355, 15315, 269, 4107, 3440, 533, 2814, 976, 3914, 2698, 13080, 540, 1063, 476, 274, 543, 476, 276, 3952, 267, 4352, 519, 17573, 19494, 949, 1935, 476, 277, 3952, 538, 3259, 269, 11831, 533, 2814, 976, 616, 16770, 3897, 6973, 545, 267, 607, 8951, 2356, 3914, 1454, 3677, 7306, 982, 9038, 563, 300, 1446, 3440, 533, 2814, 976, 1831, 16770, 9921, 950, 789, 3914, 827, 476, 4335, 547, 476, 10384, 10101, 538, 2597, 269, 12339, 2297, 1831, 9921, 693, 5594, 3677, 7306, 267, 543, 789, 2356, 9260, 476, 12010, 547, 476, 272, 267, 4335, 10101, 1354, 789, 616, 5827, 540, 9960, 6707, 563, 4913, 267, 3440, 533, 2814, 976, 2356, 3136, 547, 1332, 2429, 741, 2729, 630, 24392, 741, 2208, 2557, 25815, 14320, 1040, 1656, 267, 952, 3177, 609, 2614, 1426, 267, 519, 17573, 4775, 786, 3914, 476, 276, 267, 1822, 10101, 538, 2597, 610, 811, 563, 299, 604, 525, 3966, 281, 1215, 7043, 1684, 11831, 623, 2814, 976, 14970, 888, 7197, 533, 2814, 976, 723, 5266, 1279, 12468, 335, 753, 267, 543, 3440, 533, 2814, 976, 616, 1100, 9868, 269, 9741, 568, 1634, 540, 741, 6093, 14438, 538, 519, 3552, 267, 855, 27604, 2043, 17216, 3914, 4587, 6502, 982, 741, 3552, 13413, 593, 3328, 563, 288, 1297, 540, 2188, 786, 3310, 519, 14438, 540, 513, 2016, 1367, 267, 855, 1034, 3440, 533, 2814, 976, 786, 2661, 585, 693, 2547, 476, 1015, 1296, 952, 3177, 609, 513, 5078, 7226, 267, 2635, 2732, 543, 1022, 2556, 18915, 1416, 269, 3509, 786, 2661, 585, 7466, 713, 1279, 267, 543, 513, 19625, 540, 2043, 723, 1044, 13006, 8757, 476, 1789, 1296, 540, 2085, 610, 811, 563, 763, 9510, 13006, 3440, 9226, 5747, 693, 476, 5325, 1296, 540, 2085, 563, 10890, 1299, 10263, 281, 1548, 1772, 5871, 543, 1548, 1772, 1133, 639, 783, 888, 30761, 533, 2814, 976, 8858, 513, 3099, 540, 1455, 5615, 267, 609, 799, 1832, 619, 1590, 1831, 5432, 269, 901, 786, 948, 596, 2697, 1761, 2042, 2038, 267, 1247, 789, 616, 1869, 2653, 547, 1521, 563, 288, 1906, 540, 519, 1034, 1271, 5615, 543, 9393, 787, 4485, 596, 1058, 4063, 1331, 912, 268, 2836, 332, 3440, 533, 2814, 976, 786, 3622, 1847, 1472, 538, 513, 3500, 267, 20982, 6073, 1247, 31300, 532, 741, 10209, 1132, 563, 268, 1879, 19225, 2989, 267, 3440, 533, 2814, 976, 949, 1225, 331, 883, 513, 3440, 267, 1427, 847, 741, 9843, 883, 606, 968, 306, 18396, 559, 2223, 1010, 338, 610, 25176, 563, 268, 4014, 789, 616, 3622, 711, 10728, 267, 3440, 533, 2814, 976, 949, 11116, 952, 19225, 2989, 563, 268, 11831, 533, 2814, 976, 8774, 21237, 269, 6884, 789, 949, 798, 865, 607, 1419, 607, 1169, 476, 274, 4374, 269, 1656, 693, 824, 2053, 789, 949, 1152, 8774, 2899, 610, 7466, 829, 1032, 563, 268, 1411, 666, 6023, 707, 3440, 9226, 5781, 267, 4352, 596, 1058, 2760, 798, 865, 5612, 1739, 6980, 269, 898, 568, 849, 1271, 547, 1832, 7829, 7886, 5618, 563, 268, 2659, 3440, 9226, 786, 2693, 6108, 513, 1390, 4308, 540, 942, 15720, 538, 835, 540, 519, 24181, 596, 1683, 269, 1717, 267, 789, 3580, 1419, 21786, 331, 827, 585, 1426, 630, 31860, 693, 3781, 264, 689, 942, 547, 942, 563, 30761, 5124, 29520, 525, 454, 30761, 533, 2814, 976, 616, 3622, 2635, 2831, 630, 31860, 27604, 1532, 1042, 2043, 1040, 1809, 789, 666, 12212, 13151, 3518, 547, 4576, 269, 11831, 533, 2814, 976, 10355, 8858, 2589, 2394, 741, 4576, 568, 2907, 693, 606, 4359, 1533, 267, 865, 621, 568, 1271, 547, 3343, 18915, 6351, 1022, 942, 707, 13131, 15225, 1022, 540, 519, 1739, 2589, 912, 268, 10748 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 866, 2550, 1210, 2473, 11920, 9196, 1496, 4751, 580, 331, 542, 328, 1708, 271, 691, 4716, 267, 9597, 19148, 1708, 271, 322, 10604, 267, 695, 328, 1708, 271, 516, 1613, 267, 562, 29800, 1708, 271, 2224, 4940, 634, 2773, 540, 930, 3642, 1949, 547, 3713, 5046, 268, 866, 16415, 729, 13380, 547, 10237, 5505, 547, 2697, 4527, 610, 9000, 540, 5046, 268, 866, 3968, 314, 332, 584, 19148, 1708, 271, 322, 10604, 4940, 634, 1455, 17016, 540, 891, 10368, 3435, 610, 2468, 720, 1949, 616, 8760, 10171, 338, 585, 5046, 866, 543, 1875, 4211, 302, 4668, 268, 866, 10483, 676, 3002, 332, 2355, 2199, 1944, 519, 16143, 27690, 3148, 610, 2127, 540, 3007, 563, 7212, 519, 2773, 540, 930, 1949, 4485, 519, 1377, 540, 10237, 5505, 593, 2473, 17530, 538, 2474, 540, 8760, 267, 855, 547, 938, 1655, 1702, 267, 1100, 2090, 723, 20240, 519, 7020, 543, 26409, 540, 519, 2068, 4525, 1996, 1480, 14391, 566, 593, 2473, 17530, 269, 21540, 7695, 568, 2565, 585, 630, 320, 264, 10335, 4879, 540, 519, 2068, 282, 543, 585, 630, 321, 264, 1246, 5346, 585, 2126, 5464, 610, 11144, 540, 3461, 2783, 269, 4014, 1480, 14391, 725, 666, 581, 5833, 585, 5046, 268, 866, 4525, 593, 2473, 17530, 267, 519, 22979, 540, 4525, 568, 4617, 3379, 547, 14391, 725, 6508, 689, 11632, 269, 634, 1646, 538, 519, 2361, 23119, 689, 519, 3668, 540, 8244, 540, 5046, 268, 866, 2473, 11920, 2592, 609, 7222, 3148, 14391, 725, 269, 634, 9295, 540, 938, 960, 13976, 593, 9591, 513, 3818, 21524, 531, 7014, 585, 938, 2079, 543, 19654, 8760, 540, 2473, 11920, 2592, 269, 3776, 2620, 1565, 2203, 14884, 1210, 1239, 689, 11632, 267, 998, 5108, 540, 10991, 2473, 11920, 689, 2139, 11632, 18767, 543, 1519, 3312, 2473, 11920, 2592, 607, 1134, 269, 634, 23221, 533, 2118, 1467, 568, 14311, 1759, 593, 2473, 11920, 2592, 267, 711, 8506, 11632, 1239, 269, 3689, 649, 3964, 513, 10991, 2473, 11920, 5108, 10325, 547, 5352, 607, 1082, 607, 2009, 10853, 10991, 2473, 11920, 547, 3648, 32433, 2473, 11920, 2592, 547, 4228, 938, 2866, 7535, 269, 5822, 267, 649, 946, 10991, 2473, 11920, 607, 513, 8115, 547, 4483, 519, 2666, 2389, 337, 3578, 689, 11632, 547, 519, 3312, 2473, 11920, 9511, 563, 272, 269, 272, 269, 272, 8827, 5071, 11137, 454, 763, 1883, 2856, 568, 547, 1451, 519, 2068, 3270, 24973, 1210, 11632, 543, 2473, 305, 1239, 855, 547, 23221, 519, 3070, 593, 2473, 11920, 2592, 269, 769, 713, 1353, 267, 649, 616, 711, 3226, 2519, 593, 3060, 1374, 267, 855, 2864, 593, 5355, 1239, 647, 11797, 543, 7393, 2666, 2389, 337, 3578, 2298, 547, 2087, 519, 15287, 540, 606, 558, 565, 748, 5160, 593, 513, 2539, 21021, 1110, 1275, 269, 769, 1931, 547, 15407, 2139, 10002, 926, 539, 543, 19610, 2473, 11920, 543, 11632, 2592, 267, 649, 723, 2966, 513, 18180, 607, 8431, 269, 272, 2982, 269, 8376, 4525, 538, 2473, 11920, 543, 11632, 616, 23064, 10446, 676, 8036, 5234, 609, 8795, 2157, 540, 1995, 269, 4635, 11632, 267, 649, 5352, 2789, 10991, 2473, 11920, 3239, 630, 306, 311, 305, 264, 829, 11632, 4320, 1927, 609, 7222, 476, 273, 291, 13968, 540, 519, 30428, 3148, 263, 5408, 476, 272, 269, 272, 269, 273, 1040, 1280, 2550, 1141, 2473, 17530, 543, 11632, 338, 630, 933, 3277, 873, 607, 19610, 11632, 543, 2473, 305, 1239, 264, 616, 9715, 1369, 513, 1507, 942, 2914, 785, 578, 630, 324, 3052, 269, 476, 4366, 3108, 1070, 649, 8850, 4483, 519, 13968, 689, 519, 590, 311, 305, 547, 519, 7222, 2473, 305, 269, 634, 11843, 14391, 725, 593, 2473, 305, 616, 2417, 14661, 16924, 12649, 676, 8036, 5234, 547, 1628, 938, 29814, 9633, 2666, 2389, 337, 3578, 270, 534, 2254, 725, 630, 5408, 476, 272, 269, 272, 269, 274, 454, 1040, 2060, 782, 2139, 2473, 305, 543, 590, 311, 305, 1927, 609, 7222, 2068, 13968, 267, 649, 5721, 513, 2620, 19543, 28708, 531, 8849, 3060, 585, 23235, 543, 10126, 532, 5046, 268, 866, 2068, 4525, 593, 2473, 11920, 563, 272, 269, 272, 269, 273, 16522, 4854, 2473, 11920, 19087, 454, 24314, 2473, 11920, 2592, 616, 6383, 676, 26124, 606, 2473, 11920, 11237, 609, 3355, 8515, 593, 519, 1641, 543, 7893, 519, 8515, 20465, 540, 519, 11237, 2348, 5293, 998, 606, 22887, 15070, 5420, 693, 1114, 7158, 1210, 513, 476, 273, 291, 2473, 11920, 18785, 5044, 269, 634, 22887, 6672, 540, 2473, 11920, 20832, 538, 2339, 5205, 519, 2142, 518, 299, 600, 6975, 1876, 267, 17548, 602, 519, 6175, 538, 519, 11237, 779, 8515, 568, 14354, 547, 519, 8515, 3294, 20465, 543, 519, 5276, 22887, 6672, 11664, 1871, 3890, 540, 519, 1570, 1373, 21986, 539, 269, 630, 272, 1916, 5804, 713, 649, 666, 17589, 519, 11237, 8515, 1599, 1599, 936, 3845, 547, 581, 606, 12825, 9178, 607, 519, 1739, 912, 1103, 2564, 2473, 11920, 2592, 519, 2418, 10710, 547, 3758, 616, 14354, 547, 519, 4082, 2938, 538, 476, 274, 267, 799, 568, 2965, 513, 14805, 566, 540, 519, 22887, 6672, 2418, 2059, 519, 11237, 269, 1403, 519, 1641, 568, 1500, 909, 540, 4130, 24267, 2281, 267, 713, 1223, 581, 19775, 607, 513, 2040, 563, 274, 291, 11632, 2592, 616, 9112, 689, 1082, 476, 273, 291, 2473, 11920, 2592, 540, 519, 1641, 3144, 693, 1114, 7285, 543, 7158, 630, 3559, 673, 610, 824, 3350, 540, 519, 2707, 1673, 564, 10725, 6292, 264, 676, 1210, 513, 9723, 4919, 16646, 6620, 971, 607, 27952, 16646, 610, 519, 11201, 2234, 517, 2981, 269, 634, 642, 2135, 601, 2418, 540, 519, 9112, 11632, 3239, 616, 519, 5276, 22887, 6672, 11664, 2418, 1808, 547, 519, 1031, 2473, 11920, 11237, 779, 1648, 8552, 269, 1452, 2418, 616, 10736, 547, 670, 10494, 7615, 1770, 630, 295, 308, 264, 2418, 607, 2938, 538, 26169, 333, 476, 275, 267, 1141, 543, 616, 519, 5276, 22887, 6672, 11664, 585, 1216, 543, 2011, 6606, 585, 519, 2016, 2473, 11920, 2707, 269, 4635, 713, 1770, 540, 2268, 21810, 2592, 3144, 609, 1114, 1648, 2473, 11920, 20832, 547, 723, 2147, 8515, 2418, 585, 519, 1482, 8031, 267, 18440, 1216, 547, 476, 271, 670, 308, 267, 2011, 547, 910, 1911, 271, 670, 308, 563, 2304, 11201, 1184, 666, 948, 1711, 2473, 11920, 2592, 689, 11632, 2592, 676, 1788, 532, 519, 9112, 476, 274, 291, 4320, 1394, 883, 513, 476, 273, 291, 7077, 2059, 5691, 12345, 23608, 689, 513, 5691, 2707, 269, 4595, 519, 2473, 11920, 3239, 630, 292, 336, 333, 269, 476, 274, 264, 568, 606, 7533, 4882, 17026, 566, 540, 22887, 6672, 2418, 2059, 519, 16879, 12345, 267, 3964, 2409, 1711, 16879, 2592, 676, 14291, 519, 11632, 642, 2135, 601, 2418, 689, 670, 308, 547, 5276, 22887, 6672, 11664, 543, 3274, 2040, 2719, 519, 18920, 2418, 2059, 519, 5691, 12345, 630, 7076, 539, 676, 519, 14612, 2619, 27480, 676, 519, 18422, 609, 532, 1142, 18920, 1040, 1677, 3035, 10853, 29660, 2473, 11920, 649, 1031, 513, 1448, 2707, 585, 519, 16879, 799, 8308, 3631, 519, 2707, 540, 519, 2473, 11920, 267, 899, 538, 4890, 2473, 11920, 9196, 17102, 269, 1280, 519, 16879, 3294, 649, 1031, 519, 589, 4306, 6938, 2389, 944, 7901, 314, 17129, 6938, 316, 2073, 799, 4847, 9936, 1436, 540, 519, 11237, 779, 5086, 630, 3200, 673, 543, 8880, 264, 607, 1134, 607, 519, 9883, 1063, 519, 5691, 1448, 2707, 267, 519, 5169, 540, 519, 1641, 543, 519, 5691, 18785, 630, 5408, 8431, 269, 476, 273, 1040, 1306, 2473, 11920, 2592, 723, 519, 1482, 18920, 19437, 538, 1312, 7516, 267, 1247, 11632, 2592, 2356, 723, 3677, 18920, 19437, 538, 519, 1990, 4287, 267, 649, 556, 1606, 600, 9482, 519, 476, 274, 291, 12531, 547, 723, 13666, 22241, 630, 271, 269, 275, 6515, 264, 19437, 1991, 547, 7384, 519, 16879, 269, 769, 4791, 2473, 11920, 2592, 267, 519, 5982, 2707, 568, 3297, 543, 519, 18785, 568, 538, 4395, 540, 519, 3461, 910, 849, 1634, 607, 17911, 12845, 10262, 630, 5183, 264, 2070, 519, 2592, 6383, 2408, 547, 581, 1166, 5792, 23276, 269, 1677, 14883, 609, 713, 7014, 267, 649, 849, 1166, 5792, 13698, 20327, 563, 2005, 568, 1271, 547, 1448, 856, 602, 538, 2013, 540, 1507, 2361, 6361, 268, 1613, 11632, 2592, 267, 1141, 519, 3461, 3085, 1406, 3514, 883, 519, 16646, 5858, 538, 519, 8880, 7077, 267, 2870, 1351, 4689, 610, 29345, 527, 2145, 16879, 786, 711, 1267, 538, 3076, 601, 833, 2473, 17530, 3239, 607, 1560, 2694, 616, 7508, 689, 519, 5691, 18422, 779, 2619, 563, 7628, 938, 960, 649, 849, 15810, 519, 26409, 2666, 5168, 13968, 585, 11632, 2592, 547, 476, 273, 291, 3898, 269, 634, 1482, 14759, 941, 4294, 547, 891, 9352, 13968, 607, 547, 519, 7222, 11632, 12531, 27195, 519, 3283, 17935, 547, 4336, 519, 642, 2135, 601, 9706, 31242, 2418, 269, 769, 938, 20104, 649, 946, 1312, 513, 9352, 3898, 540, 519, 476, 273, 291, 15810, 13968, 910, 2813, 676, 4259, 782, 1875, 25179, 2418, 547, 476, 272, 910, 543, 513, 3178, 2173, 2532, 3898, 799, 25601, 1344, 540, 519, 3178, 540, 519, 3312, 476, 274, 291, 9633, 269, 634, 8545, 729, 26987, 865, 519, 2418, 723, 519, 2168, 2495, 540, 3178, 563, 272, 269, 272, 269, 274, 623, 2077, 710, 1323, 2254, 566, 19087, 454, 2690, 19610, 2473, 305, 543, 11632, 689, 1482, 2550, 267, 938, 2832, 568, 547, 4483, 519, 18920, 30150, 2666, 2389, 337, 3578, 689, 11632, 547, 590, 311, 305, 543, 689, 590, 311, 305, 547, 2473, 305, 269, 590, 311, 305, 5713, 607, 513, 8115, 1063, 11632, 543, 2473, 305, 563, 2690, 1142, 11632, 4320, 267, 649, 5352, 513, 1297, 540, 590, 311, 20745, 543, 7222, 2068, 13968, 676, 8795, 9196, 6724, 607, 5018, 538, 476, 272, 269, 272, 269, 273, 269, 634, 3804, 568, 547, 11578, 1142, 590, 311, 305, 11134, 547, 2473, 305, 865, 602, 519, 2068, 3148, 1063, 590, 311, 305, 543, 2473, 305, 723, 519, 1655, 12972, 865, 602, 649, 666, 4019, 519, 1482, 7004, 593, 519, 2068, 9633, 689, 590, 311, 305, 543, 6383, 10805, 2068, 9633, 585, 519, 19610, 2473, 305, 269, 1306, 585, 519, 1482, 11632, 267, 2789, 590, 311, 20745, 616, 6383, 4611, 1114, 10805, 13968, 543, 649, 3274, 2824, 519, 835, 609, 519, 1655, 8994, 1344, 1063, 10805, 590, 311, 305, 543, 2473, 305, 269, 6271, 1935, 547, 2824, 6099, 590, 311, 305, 3322, 6476, 540, 519, 5761, 9633, 3148, 269, 634, 6292, 609, 519, 1034, 20718, 9633, 729, 1031, 547, 2824, 519, 4998, 6292, 563, 2414, 11578, 590, 311, 305, 547, 2473, 305, 267, 835, 4161, 568, 602, 519, 4610, 540, 1560, 2070, 616, 1114, 1063, 519, 1079, 543, 590, 311, 305, 568, 708, 3042, 2356, 609, 3946, 543, 7916, 909, 1247, 585, 2473, 305, 519, 3946, 616, 1524, 267, 3339, 2990, 540, 519, 1560, 269, 1677, 13468, 519, 1966, 540, 519, 1282, 3239, 14261, 267, 3079, 540, 1210, 3312, 2592, 267, 649, 1711, 5761, 21614, 296, 3239, 676, 7311, 5761, 26409, 593, 10991, 2473, 11920, 543, 2473, 11920, 269, 8431, 269, 476, 274, 2982, 835, 1383, 875, 649, 4483, 519, 11632, 2666, 2389, 337, 3578, 689, 11632, 547, 10991, 2473, 11920, 543, 689, 10991, 2473, 11920, 547, 1483, 2473, 11920, 269, 1284, 7747, 602, 972, 616, 9793, 3604, 1063, 14391, 725, 689, 3312, 2473, 11920, 543, 1346, 14391, 725, 6508, 689, 9927, 543, 11843, 11632, 1239, 31552, 602, 519, 15287, 540, 5046, 268, 866, 1644, 16415, 593, 2473, 11920, 949, 711, 581, 4998, 543, 1034, 3102, 563, 7212, 649, 723, 606, 16977, 8901, 6474, 1063, 590, 311, 305, 543, 2473, 305, 267, 649, 3112, 2047, 946, 11843, 2666, 13700, 3578, 263, 28566, 264, 689, 476, 274, 291, 11632, 5196, 476, 273, 291, 1256, 609, 519, 1655, 12805, 585, 2866, 519, 2620, 1565, 3631, 269, 634, 2068, 666, 6385, 1689, 1256, 1369, 476, 4366, 3108, 269, 769, 713, 2013, 519, 11843, 2666, 13700, 3578, 689, 11632, 666, 1152, 581, 1031, 607, 513, 4287, 531, 5583, 585, 513, 1480, 4274, 547, 14391, 622, 593, 519, 476, 273, 291, 2473, 17530, 269, 4475, 585, 19610, 2665, 267, 649, 1685, 8261, 16369, 593, 519, 12747, 11843, 2666, 2389, 337, 3578, 563, 272, 269, 272, 269, 275, 5046, 268, 866, 21290, 543, 16214, 15613, 454, 2690, 713, 3063, 268, 867, 2435, 5046, 268, 866, 6855, 267, 3642, 1949, 723, 1044, 11567, 547, 2697, 22114, 538, 519, 9641, 543, 4217, 538, 519, 7020, 267, 2468, 720, 267, 3067, 2305, 543, 32756, 630, 324, 3052, 269, 7646, 267, 9793, 543, 4049, 264, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 649, 723, 912, 259, 5913, 868, 534, 343, 284, 572, 1097, 339, 1415, 14204, 13295, 2655, 23082, 713, 538, 519, 3355, 4082, 3947, 721, 912, 259, 345, 284, 572, 1097, 266, 572, 1097, 21702, 346, 339, 1415, 2410, 11927, 343, 13157, 572, 1097, 13375, 1496, 1422, 2765, 346, 11927, 343, 266, 339, 1415, 2410, 11927, 343, 348, 1422, 2431, 9948, 284, 572, 1097, 13375, 1496, 315, 2765, 346, 11927, 13375, 630, 476, 2568, 3917, 1422, 2431, 3738, 266, 339, 1415, 2410, 11927, 13375, 630, 476, 2568, 3917, 1422, 2431, 3738, 348, 1422, 2431, 9948, 7807, 2765, 346, 5913, 3867, 274, 348, 344, 7346, 6912, 346, 274, 18511, 339, 1415, 4151, 8802, 1841, 454, 11764, 527, 0, 2171, 946, 12897, 547, 2285, 596, 519, 1655, 1995, 2009, 269, 1635, 11173, 649, 3580, 8263, 596, 2461, 593, 4604, 609, 938, 23739, 3609, 692, 13043, 4813, 10358, 4828, 12726, 692, 763, 2898, 2703, 568, 2139, 1152, 585, 10805, 3755, 20525, 2894, 667, 8016, 454, 1892, 9664, 912, 1892, 6478, 1293, 281, 476, 4391, 280, 454, 1892, 21145, 281, 2979, 692, 288, 3908, 942, 2709, 2439, 7476, 513, 2688, 3732, 1557, 2854, 2687, 547, 707, 4170, 14849, 476, 274, 327, 6765, 16798, 692, 24576, 3767, 692, 13043, 4813, 10358, 4828, 12726, 692, 30182, 4542, 1384, 4131, 513, 272, 28083, 273, 28083, 274, 267, 8796, 267, 534, 581, 513, 1305, 540, 2338, 267, 3328, 815, 630, 320, 272, 1341, 513, 273, 1341, 513, 274, 267, 266, 8796, 266, 606, 8358, 333, 692, 293, 10330, 12596, 1384, 3519, 31844, 513, 6404, 1297, 547, 606, 16789, 6824, 1384, 3519, 31844, 606, 16789, 6824, 547, 513, 6404, 1297, 1384, 13528, 3121, 585, 513, 8167, 1384, 1103, 513, 8167, 267, 519, 1587, 540, 519, 26037, 630, 611, 264, 3160, 519, 1587, 540, 519, 1797, 6357, 322, 1070, 692, 8110, 1417, 1384, 8110, 1417, 547, 6824, 281, 1535, 260, 815, 1535, 270, 1911, 692, 8110, 1417, 720, 4542, 281, 15580, 270, 1911, 815, 20587, 720, 11486, 848, 692, 31948, 281, 634, 2600, 563, 26015, 281, 634, 2179, 596, 616, 2921, 519, 2600, 540, 563, 8110, 1417, 720, 281, 634, 2626, 5833, 676, 14921, 519, 3490, 676, 519, 2557, 692, 8256, 10179, 2979, 12596, 1384, 11577, 870, 815, 1592, 3902, 6398, 10958, 2557, 692, 306, 1446, 3902, 815, 1592, 3902, 6567, 10958, 692, 11577, 870, 2557, 815, 10958, 21680, 1592, 3902, 692, 306, 2297, 3454, 815, 3902, 540, 6221, 6398, 3454, 2557, 692, 19950, 815, 9030, 6398, 2557, 540, 1719, 6398, 942, 692, 19522, 815, 1942, 540, 6980, 6398, 9133, 2557, 692, 8333, 2153, 815, 1942, 540, 3028, 6398, 10243, 2557, 692, 10481, 5852, 12596, 1384, 8110, 9014, 1384, 8110, 9014, 540, 513, 4009, 281, 521, 1341, 521, 1341, 521, 1341, 521, 454, 338, 281, 26319, 540, 835, 2427, 692, 8110, 9014, 540, 513, 13551, 281, 561, 1341, 530, 1341, 561, 1341, 530, 454, 331, 281, 3259, 454, 342, 281, 8700, 692, 8110, 9014, 540, 513, 6906, 281, 513, 1341, 536, 1341, 524, 454, 320, 267, 536, 267, 543, 524, 281, 13080, 540, 519, 476, 274, 5011, 692, 22704, 1384, 22704, 540, 513, 4009, 281, 521, 6398, 521, 454, 338, 281, 3259, 540, 835, 2427, 692, 22704, 540, 513, 13551, 281, 561, 6398, 530, 454, 331, 281, 3259, 454, 342, 281, 8700, 692, 22704, 540, 513, 6906, 281, 630, 321, 6398, 554, 8358, 273, 454, 321, 281, 3259, 540, 3490, 454, 327, 281, 3259, 540, 4463, 692, 22704, 540, 513, 25671, 1355, 281, 630, 321, 272, 1341, 536, 273, 264, 6398, 554, 270, 273, 454, 321, 272, 543, 536, 273, 281, 6252, 5011, 610, 519, 13279, 454, 327, 281, 3259, 540, 4463, 692, 14179, 2541, 1384, 24127, 540, 513, 13306, 281, 521, 6398, 521, 6398, 521, 454, 338, 281, 3259, 540, 835, 2427, 692, 24127, 540, 513, 4216, 281, 561, 6398, 530, 6398, 554, 454, 331, 281, 3259, 454, 342, 281, 8700, 454, 327, 281, 4463, 692, 24127, 540, 513, 12106, 281, 630, 275, 270, 274, 264, 6398, 14039, 6398, 678, 274, 454, 7032, 281, 476, 274, 269, 1691, 692, 24127, 540, 513, 21083, 24388, 281, 1858, 540, 6906, 6398, 27551, 815, 630, 272, 270, 273, 3490, 6398, 4463, 264, 6398, 27551, 3490, 281, 3259, 540, 519, 3490, 540, 519, 6906, 454, 19417, 281, 4463, 540, 519, 6906, 454, 3891, 697, 281, 4463, 540, 519, 21083, 24388, 692, 24127, 540, 513, 12718, 281, 7032, 6398, 678, 273, 6398, 27551, 454, 7032, 281, 476, 274, 269, 1691, 454, 337, 281, 8953, 540, 519, 5858, 540, 519, 3490, 454, 3891, 697, 281, 4463, 540, 519, 12718, 692, 2171, 666, 2328, 513, 2688, 1557, 692, 24576, 606, 1557, 454, 4968, 32504, 29605, 11545, 454, 1911, 267, 1822, 266, 23527, 454, 1220, 271, 266, 11762, 454, 10403, 1773, 698, 14705, 454, 13425, 518, 454, 5472, 10049, 454, 732, 18280, 690, 539, 4270, 692, 28989, 267, 855, 25718, 1257, 568, 24193, 593, 713, 3896, 269, 1403, 596, 991, 713, 610, 1022, 824, 3732, 267, 649, 666, 6494, 621, 547, 596, 3842, 4757, 780, 28989, 267, 855, 1152, 10805, 3755, 723, 2407, 1569, 692, 9404, 2664, 2299, 2496, 289, 22877, 513, 4759, 692, 14188, 1411, 589, 20769, 2439, 10387, 2742, 13177, 692, 26020, 692, 17098, 972, 2336, 25898, 596, 899, 547, 1205, 971, 513, 1957, 888, 1692, 827, 3478, 513, 16419, 835, 2496, 4692, 1405, 1265, 1548, 596, 941, 18391, 585, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 18411, 26296, 3498, 281, 12337, 2104, 24875, 269, 24875, 585, 513, 6280, 454, 529, 1269, 1015, 267, 1822, 713, 1032, 543, 4679, 476, 276, 260, 1169, 1032, 269, 513, 1982, 602, 454, 28669, 525, 519, 24875, 538, 4557, 1296, 543, 519, 2698, 1942, 540, 2185, 1296, 685, 4502, 540, 24875, 454, 11034, 532, 4557, 1296, 689, 1631, 454, 18411, 2745, 4148, 698, 25716, 454, 1012, 3553, 24875, 3097, 339, 1081, 284, 1911, 876, 454, 4532, 284, 271, 269, 4962, 454, 328, 284, 272, 454, 258, 3553, 519, 4756, 585, 2040, 815, 271, 3097, 8999, 1015, 284, 271, 454, 8999, 275, 284, 271, 454, 258, 31467, 476, 1691, 2053, 3097, 6112, 1775, 10922, 1691, 912, 825, 12361, 20412, 622, 2196, 333, 793, 2698, 454, 825, 512, 1081, 815, 5180, 9230, 339, 1081, 1341, 512, 1081, 265, 4532, 1070, 273, 994, 825, 1820, 4148, 698, 543, 1820, 2891, 12898, 2580, 1775, 267, 512, 1081, 994, 825, 12361, 952, 1032, 1063, 476, 1015, 628, 543, 476, 1691, 628, 1032, 1287, 1265, 2040, 585, 1942, 540, 476, 275, 1296, 540, 2069, 454, 825, 952, 1775, 13843, 476, 1015, 543, 1775, 27045, 1691, 912, 1038, 952, 1775, 2652, 476, 1015, 10778, 2018, 2040, 1015, 2073, 2040, 275, 815, 512, 1081, 25722, 1081, 454, 2018, 1820, 4148, 698, 543, 1820, 2891, 12898, 476, 1015, 628, 1032, 24875, 568, 2433, 14307, 2040, 1015, 994, 1038, 3116, 912, 2018, 2040, 275, 815, 2040, 275, 1341, 2040, 275, 265, 271, 269, 4962, 454, 2018, 1820, 4148, 698, 543, 476, 1820, 2891, 12898, 14307, 1775, 267, 834, 20204, 24875, 568, 2433, 14307, 2040, 275, 994, 825, 1775, 6834, 476, 272, 454, 2745, 2891, 4263, 476, 1015, 628, 1032, 3490, 24875, 1942, 786, 581, 2433, 2580, 1412, 346, 2410, 348, 8339, 8971, 2891, 259, 2580, 1037, 4433, 636, 1015, 267, 273, 4297, 476, 12467, 2745, 2891, 21798, 540, 476, 275, 1032, 24875, 4358, 476, 1015, 628, 1032, 2433, 2580, 1412, 346, 2410, 348, 8339, 8971, 2891, 259, 2580, 1037, 4433, 636, 275, 1606, 636, 1015, 267, 273, 4297, 3738, 0, 1012, 2237, 513, 1982, 602, 12987, 519, 3593, 547, 4283, 513, 10865, 9494, 2179, 543, 26444, 258, 4134, 680, 904, 519, 2272, 1871, 1310, 519, 15795, 3923, 780, 2745, 14503, 698, 25716, 454, 1998, 9179, 14503, 698, 25716, 454, 32459, 7625, 284, 24834, 9272, 2891, 11767, 10865, 9806, 2179, 281, 27363, 1012, 16754, 623, 630, 272, 1341, 678, 14672, 264, 1262, 263, 660, 994, 24629, 569, 19950, 284, 271, 269, 4962, 270, 1321, 454, 1012, 14140, 3923, 3097, 7407, 284, 1911, 16732, 272, 1341, 10865, 19950, 994, 1012, 16149, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 628, 2273, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 27917, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 325, 604, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 1012, 338, 1460, 628, 3923, 3097, 7407, 14352, 32459, 7625, 1341, 1871, 31618, 272, 1341, 10865, 19950, 994, 2745, 2891, 5475, 519, 15795, 3923, 267, 519, 2272, 1871, 568, 2580, 3898, 263, 7407, 10086, 271, 269, 273, 325, 262, 4297, 0, 18257, 4537, 541, 611, 3397, 333, 8811, 582, 686, 454, 14630, 281, 476, 4905, 270, 1556, 270, 1001, 278, 454, 32491, 547, 4159, 519, 15810, 2551, 585, 661, 21815, 540, 1985, 2947, 1296, 23166, 27345, 2475, 5058, 29486, 302, 4916, 454, 567, 10054, 2433, 3097, 11434, 835, 4332, 1169, 476, 278, 7643, 454, 11434, 835, 2669, 1169, 476, 1724, 7643, 3097, 11434, 835, 1007, 19366, 1169, 476, 3393, 7643, 454, 18411, 1012, 9690, 2551, 2016, 538, 1383, 3097, 290, 7838, 14641, 8008, 308, 6369, 3582, 815, 476, 24374, 271, 3953, 4366, 277, 454, 1012, 572, 6948, 538, 513, 1554, 454, 306, 4488, 2177, 9169, 2562, 31165, 815, 476, 279, 5038, 876, 454, 1012, 7643, 538, 1032, 3097, 306, 4488, 2177, 9169, 2562, 312, 292, 2752, 284, 476, 18458, 2608, 22444, 2177, 9169, 2562, 31165, 454, 1012, 2698, 24570, 538, 513, 1032, 3097, 20135, 321, 597, 2195, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 278, 454, 1012, 20135, 7972, 538, 513, 1032, 3097, 20135, 1372, 23411, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 1724, 454, 1012, 2698, 11082, 21945, 829, 1032, 454, 2908, 9404, 580, 7847, 815, 22444, 2177, 9169, 2562, 312, 292, 2752, 12262, 476, 3393, 454, 1012, 2500, 21496, 2333, 538, 2551, 476, 536, 603, 1206, 910, 7972, 1341, 11082, 3097, 20204, 569, 16647, 27463, 618, 284, 2698, 321, 597, 2195, 910, 2698, 1372, 23411, 1341, 1007, 9404, 580, 7847, 692, 2745, 9497, 20135, 321, 597, 2195, 281, 257, 1341, 1193, 6025, 4973, 321, 597, 2195, 264, 1341, 27719, 333, 257, 1341, 834, 20135, 1372, 23411, 281, 257, 1341, 1193, 6025, 4973, 1372, 23411, 264, 1341, 27719, 333, 257, 1341, 834, 2908, 9404, 580, 7847, 281, 257, 1341, 1193, 28956, 9404, 580, 7847, 264, 12467, 2745, 2891, 19931, 27261, 2551, 829, 1032, 281, 257, 1341, 1193, 12169, 22022, 16647, 27463, 618, 264, 12467, 2745, 9497, 315, 333, 14826, 17413, 19617, 1422, 339, 29146, 2551, 5602, 2745, 9497, 25275, 2525, 284, 5602, 18257, 585, 1142, 1032, 9062, 519, 21496, 27261, 676, 519, 2789, 585, 602, 1032, 538, 2104, 3097, 663, 1039, 621, 547, 3490, 2551, 454, 18257, 3097, 2745, 9497, 12898, 476, 272, 1032, 8587, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 272, 3738, 3738, 12467, 2745, 9497, 12898, 476, 273, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 273, 3738, 3738, 12467, 2745, 9497, 12898, 476, 274, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 274, 3738, 3738, 12467, 2745, 9497, 12898, 476, 275, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 275, 3738, 3738, 12467, 2745, 9497, 12898, 476, 276, 1032, 11434, 1422, 339, 29146, 257, 266, 1598, 18154, 7838, 14641, 8008, 308, 6369, 3582, 1341, 630, 20204, 569, 16647, 27463, 618, 2608, 476, 276, 3738, 3738, 3738, 0, 18411, 4537, 541, 611, 281, 630, 11514, 2452, 519, 1101, 2395, 540, 1142, 3923, 994, 18411, 20204, 815, 859, 531, 9272, 2891, 11767, 519, 1871, 585, 519, 1032, 281, 257, 4297, 476, 12361, 476, 1001, 274, 454, 11276, 815, 859, 531, 9272, 2891, 11767, 519, 8870, 1871, 585, 519, 1554, 519, 3018, 281, 257, 4297, 476, 12361, 476, 273, 454, 17058, 514, 24629, 815, 476, 271, 692, 1012, 476, 271, 31914, 599, 2073, 476, 277, 2893, 584, 1485, 563, 1721, 3923, 538, 2039, 263, 271, 267, 476, 1321, 2187, 825, 12361, 2638, 3617, 1297, 540, 2395, 538, 3923, 3097, 825, 952, 263, 24629, 2652, 476, 272, 610, 3923, 2652, 476, 274, 610, 3923, 2652, 476, 276, 610, 3923, 2652, 476, 278, 610, 3923, 2652, 476, 279, 610, 3923, 2652, 476, 1015, 610, 3923, 2652, 476, 1321, 2187, 1038, 2395, 514, 24629, 815, 476, 4029, 454, 825, 952, 3923, 2652, 476, 275, 610, 3923, 2652, 476, 277, 610, 3923, 2652, 476, 280, 610, 3923, 2652, 476, 1556, 281, 22322, 1038, 2395, 514, 24629, 815, 476, 1789, 454, 825, 952, 3923, 2652, 476, 273, 912, 1038, 2395, 514, 24629, 815, 476, 3066, 952, 630, 20204, 4939, 476, 6110, 2652, 476, 271, 610, 630, 20204, 4939, 476, 275, 2652, 476, 271, 543, 1032, 4939, 476, 1911, 11203, 476, 271, 4297, 3116, 476, 2764, 454, 825, 544, 333, 628, 284, 24629, 266, 272, 454, 825, 12361, 1491, 519, 1110, 593, 519, 519, 2395, 538, 3923, 543, 1039, 519, 4358, 1554, 547, 519, 1110, 547, 1205, 519, 1101, 1554, 540, 1985, 3923, 454, 825, 10085, 815, 630, 17058, 514, 24629, 1341, 11276, 3738, 260, 278, 454, 825, 12361, 585, 2016, 3923, 798, 952, 3116, 585, 519, 1554, 543, 1820, 519, 3977, 454, 825, 952, 544, 333, 628, 2652, 476, 272, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 20464, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 273, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 8722, 10767, 776, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 274, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038, 8640, 476, 10085, 2652, 476, 272, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 31388, 5602, 1038, 8640, 476, 10085, 2652, 476, 273, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 307, 11698, 5602, 1038, 8640, 476, 10085, 2652, 476, 274, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 26607, 11888, 5602, 1038, 8640, 476, 10085, 2652, 476, 275, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 32637, 5602, 1038, 8640, 476, 10085, 2525, 476, 276, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 293, 27518, 5602, 1038, 8640, 476, 10085, 2652, 476, 277, 10778, 2018, 1820, 2891, 18550, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 12944, 5602, 825, 8640, 544, 333, 628, 2652, 476, 275, 912, 1038, 952, 10085, 2652, 476, 271, 10778, 2018, 1820, 2891, 19688, 476, 272, 2437, 266, 1193, 12169, 792, 264, 1341, 834, 568, 834, 266, 476, 834, 306, 1495, 599, 5602, 1038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8029, 1038, 585, 897, 538, 2039, 12759, 6025, 762, 314, 271, 8079, 8029, 2018, 952, 3349, 314, 992, 6012, 3712, 316, 2652, 661, 6573, 31159, 318, 20784, 5588, 6769, 3546, 6556, 630, 992, 267, 897, 10142, 3698, 5173, 6025, 762, 267, 2490, 267, 1985, 267, 13672, 267, 12498, 8029, 825, 3094, 815, 16771, 6025, 762, 3418, 825, 952, 3094, 6769, 1038, 2132, 3094, 1477, 825, 952, 782, 6958, 2683, 6025, 762, 8029, 1038, 2132, 476, 271, 1477, 825, 585, 1775, 267, 795, 538, 8900, 5334, 331, 1824, 6025, 762, 8029, 1038, 3349, 5157, 6012, 329, 316, 815, 2490, 1477, 1038, 1871, 815, 5173, 6025, 762, 267, 1985, 267, 2490, 267, 13672, 267, 12498, 3418, 1038, 3349, 5157, 6012, 329, 316, 815, 661, 6573, 31159, 318, 20784, 5588, 1477, 1038, 952, 2490, 2652, 744, 318, 12195, 19781, 6769, 2018, 13672, 815, 3193, 263, 10401, 267, 1871, 3418, 2018, 952, 13672, 13843, 12498, 6769, 3546, 2132, 12498, 1477, 1038, 3116, 6769, 2018, 12498, 815, 1295, 6357, 9508, 267, 1871, 3418, 2018, 952, 12498, 10922, 13672, 6769, 3546, 2132, 13672, 1477, 825, 952, 2490, 2652, 2473, 318, 12195, 19781, 6769, 1038, 2132, 12498, 1477, 825, 3116, 6769, 1038, 2132, 13672, 5897, 3698, 2780, 8548, 913, 6025, 762, 8029, 825, 1655, 8548, 7174, 815, 1496, 15947, 825, 1655, 19056, 815, 910, 272, 269, 272, 1477, 825, 585, 1775, 267, 795, 538, 8900, 5334, 331, 1824, 6025, 762, 8029, 1038, 3349, 5157, 6012, 329, 316, 815, 744, 318, 12195, 19781, 1477, 1038, 1007, 19056, 815, 5173, 6025, 762, 267, 2473, 318, 12195, 19781, 267, 744, 318, 12195, 19781, 267, 910, 272, 269, 272, 267, 476, 272, 269, 272, 3418, 1038, 3349, 5157, 6012, 329, 316, 815, 661, 6573, 31159, 318, 20784, 5588, 1477, 1038, 952, 1007, 19056, 3436, 1655, 19056, 6769, 2018, 1655, 19056, 815, 1007, 19056, 1477, 2018, 1655, 8548, 7174, 815, 27883, 328, 267, 795, 13580, 1477, 1038, 8640, 1007, 19056, 2652, 1655, 19056, 6769, 2018, 1655, 8548, 7174, 6910, 9230, 328, 267, 795, 17903, 825, 4737, 267, 897, 815, 4351, 26716, 4069, 6357, 652, 8548, 7174, 3418, 825, 1820, 3488, 15253, 3442, 2433, 1412, 1341, 1193, 9230, 992, 1341, 476, 272, 267, 3712, 1341, 476, 272, 4297, 3418, 825, 3349, 314, 992, 6012, 3712, 316, 815, 744, 318, 12195, 19781, 5897, 3698, 1480, 8548, 913, 6025, 762, 8029, 825, 538, 335, 476, 815, 3403, 3488, 312, 21788, 570, 7838, 301, 2433, 1412, 3418, 825, 4737, 267, 897, 815, 630, 842, 3287, 264, 910, 476, 272, 585, 1535, 538, 538, 335, 21858, 3488, 1412, 17903, 825, 3349, 314, 992, 6012, 3712, 316, 815, 2473, 318, 12195, 19781, 5897, 3698, 3014, 28399, 825, 3349, 815, 20886, 4932, 8976, 312, 318, 20784, 5588, 30297, 307, 21764, 318, 10485, 30438, 585, 1775, 538, 2039, 24867, 21764, 318, 10485, 30438, 13580, 1477, 825, 1985, 815, 674, 7644, 4306, 1477, 825, 1247, 711, 782, 6958, 2683, 6025, 762, 264, 543, 711, 16771, 6025, 762, 8029, 1038, 1820, 4671, 762, 6025, 762, 10142, 1038, 952, 1985, 2652, 2473, 318, 12195, 19781, 6769, 2018, 1480, 8548, 913, 6025, 762, 3418, 2018, 1985, 815, 744, 318, 12195, 19781, 1477, 1038, 3116, 6769, 2018, 2780, 8548, 913, 6025, 762, 3418, 2018, 1985, 815, 2473, 318, 12195, 19781, 5897, 825, 3803, 318, 7773, 1676, 815, 16771, 6025, 762, 3418, 825, 952, 3803, 318, 7773, 1676, 6769, 1038, 1820, 4671, 762, 6025, 762, 3418, 1038, 952, 3803, 318, 7773, 1676, 2652, 910, 272, 6769, 2018, 1820, 3488, 295, 9331, 3198, 654, 27486, 26008, 20298, 1038, 3116, 6769, 2018, 1820, 3488, 23490, 7473, 2207, 654, 27486, 26008, 20298, 825, 3116, 6769, 1038, 1820, 3488, 291, 6938, 310, 26008, 20298, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 3014, 14052, 24541, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 258, 13517, 454, 258, 901, 568, 851, 540, 476, 736, 306, 272, 4888, 29637, 271, 1895, 1788, 476, 4905, 692, 5814, 15259, 454, 5814, 11885, 607, 5286, 454, 5814, 21795, 607, 19073, 454, 5228, 30220, 1104, 30220, 7531, 258, 901, 3758, 568, 1031, 585, 519, 19467, 10342, 540, 519, 3498, 454, 258, 1677, 946, 519, 3252, 267, 1104, 543, 1289, 519, 19467, 18316, 3890, 1599, 454, 258, 519, 6724, 616, 519, 2619, 540, 519, 15682, 13936, 519, 538, 543, 856, 454, 258, 26417, 3758, 543, 519, 2012, 585, 519, 26417, 3977, 3758, 692, 258, 1239, 4859, 546, 597, 454, 514, 5091, 597, 815, 29717, 270, 2562, 27345, 7055, 258, 3977, 3758, 454, 719, 18316, 815, 29717, 270, 1067, 3022, 318, 16059, 27406, 28847, 258, 23037, 519, 538, 6119, 543, 519, 856, 6119, 3330, 519, 15682, 2676, 258, 7024, 513, 24042, 540, 519, 1592, 540, 538, 18316, 543, 856, 18316, 454, 3698, 538, 318, 719, 5334, 677, 10031, 825, 538, 18316, 815, 11713, 825, 856, 18316, 815, 11713, 825, 585, 3758, 538, 15259, 269, 4289, 323, 597, 263, 514, 5091, 597, 2187, 1038, 952, 3758, 314, 271, 281, 273, 316, 2652, 1412, 2562, 12466, 2018, 538, 18316, 6910, 6600, 257, 346, 514, 5091, 597, 348, 270, 346, 12803, 348, 5602, 1038, 8640, 3758, 314, 271, 281, 273, 316, 2652, 1412, 5588, 12466, 2018, 856, 18316, 6910, 6600, 257, 346, 514, 5091, 597, 348, 270, 346, 12803, 348, 5602, 825, 2132, 538, 18316, 267, 856, 18316, 7531, 258, 2981, 1312, 519, 538, 3758, 543, 856, 3758, 883, 513, 1239, 18134, 2676, 258, 16289, 873, 547, 513, 1592, 454, 3698, 4020, 12774, 18134, 10031, 825, 1948, 14322, 519, 3758, 568, 3330, 519, 15682, 454, 825, 538, 18316, 267, 856, 18316, 815, 538, 318, 719, 5334, 677, 4590, 825, 17093, 18425, 8217, 815, 1496, 335, 323, 18667, 32269, 31526, 264, 585, 3758, 538, 538, 18316, 2639, 825, 17093, 318, 719, 8217, 815, 1496, 335, 323, 18667, 32269, 31526, 264, 585, 3758, 538, 856, 18316, 2639, 825, 2132, 17093, 18425, 8217, 267, 17093, 318, 719, 8217, 7531, 258, 1685, 513, 6677, 22760, 566, 543, 19467, 1063, 1079, 1592, 540, 546, 12028, 454, 3698, 6677, 520, 5332, 318, 1067, 613, 29254, 18425, 8217, 267, 17093, 318, 719, 8217, 267, 1883, 2187, 825, 1948, 6677, 22760, 622, 519, 1592, 540, 1239, 325, 29707, 883, 513, 2582, 1239, 18134, 585, 1312, 538, 543, 856, 454, 825, 17093, 18425, 815, 19073, 26769, 13906, 29254, 18425, 8217, 267, 7852, 284, 271, 994, 825, 17093, 318, 719, 815, 19073, 26769, 13906, 29254, 318, 719, 8217, 267, 7852, 284, 271, 994, 825, 1948, 19467, 519, 1079, 1239, 325, 29707, 883, 513, 2582, 1239, 18134, 454, 825, 17093, 318, 1067, 613, 815, 19073, 269, 1067, 613, 29254, 18425, 267, 17093, 318, 719, 267, 2451, 318, 517, 284, 4486, 267, 1318, 318, 517, 284, 4486, 994, 825, 2132, 17093, 318, 1067, 613, 7531, 258, 9927, 519, 6241, 883, 513, 30220, 10022, 1759, 593, 519, 3898, 9138, 454, 3698, 1205, 5091, 520, 8135, 5334, 7685, 16597, 18134, 267, 6241, 267, 9041, 8971, 2187, 825, 952, 9041, 8971, 269, 21639, 3890, 2652, 1412, 312, 13270, 12466, 1038, 24303, 5334, 7685, 815, 1239, 18134, 314, 26383, 4940, 14090, 18692, 2018, 25754, 1535, 281, 30220, 269, 1598, 696, 830, 3287, 267, 1412, 260, 312, 268, 260, 332, 268, 260, 323, 29125, 825, 8640, 9041, 8971, 269, 21639, 3890, 2652, 1412, 295, 300, 12466, 1038, 24303, 5334, 7685, 815, 1239, 18134, 314, 26383, 4940, 14090, 18692, 2018, 25754, 1535, 281, 30220, 269, 1598, 696, 830, 3287, 267, 1412, 260, 295, 281, 260, 300, 29125, 825, 3116, 912, 1038, 2132, 7183, 454, 825, 2132, 24303, 5334, 7685, 7531, 258, 1205, 513, 1592, 540, 30220, 10022, 689, 513, 513, 6241, 8675, 454, 258, 609, 737, 341, 1790, 1515, 1373, 6241, 2012, 543, 12043, 454, 3698, 1205, 5091, 520, 8135, 8217, 16597, 18134, 267, 6241, 18380, 2187, 825, 24303, 8217, 815, 1496, 1326, 5091, 520, 8135, 5334, 7685, 16597, 18134, 267, 897, 12173, 267, 9041, 8971, 994, 25639, 585, 897, 12173, 267, 9041, 8971, 538, 6241, 18380, 29096, 3890, 2639, 825, 2132, 24303, 8217, 7531, 258, 2981, 1079, 30220, 6436, 267, 546, 1206, 272, 538, 962, 13270, 3898, 267, 546, 1206, 273, 538, 454, 258, 32518, 3898, 883, 513, 2582, 30220, 3126, 538, 667, 26774, 295, 300, 3898, 454, 3698, 9192, 291, 339, 306, 7685, 5560, 339, 5334, 7685, 272, 267, 24303, 5334, 7685, 273, 2187, 825, 24303, 5334, 7685, 815, 19073, 2529, 7685, 18828, 25910, 12759, 5560, 339, 5334, 7685, 272, 4297, 2020, 825, 585, 1775, 538, 2039, 12759, 5560, 339, 5334, 7685, 272, 15892, 1038, 24303, 5334, 7685, 5157, 316, 815, 30220, 2593, 321, 710, 5560, 520, 8135, 6155, 622, 5560, 339, 5334, 7685, 272, 5157, 25818, 30220, 28333, 5560, 339, 5334, 7685, 273, 5157, 8079, 2020, 825, 2132, 24303, 5334, 7685, 7531, 3698, 1205, 4671, 4973, 5091, 584, 332, 1231, 5560, 339, 4289, 2187, 825, 24303, 18425, 815, 9192, 291, 339, 306, 7685, 5560, 339, 4289, 314, 271, 3910, 24303, 4289, 314, 272, 7481, 825, 24303, 318, 719, 815, 9192, 291, 339, 306, 7685, 5560, 339, 4289, 314, 273, 3910, 24303, 4289, 314, 274, 7481, 825, 24303, 5091, 584, 815, 24303, 318, 719, 1673, 339, 18425, 454, 825, 1948, 1205, 519, 2698, 31764, 12265, 267, 543, 2981, 519, 1267, 883, 513, 3126, 513, 3764, 454, 825, 2698, 5091, 584, 8548, 1231, 815, 24303, 5091, 584, 6230, 777, 10857, 10033, 1535, 281, 1535, 6155, 904, 265, 2190, 265, 2568, 21147, 269, 572, 6948, 2260, 2568, 994, 825, 2132, 2698, 5091, 584, 8548, 1231, 7531, 258, 1031, 547, 3977, 513, 19467, 3758, 538, 26417, 3898, 454, 258, 883, 519, 3597, 17835, 607, 24673, 318, 16059, 27406, 454, 3698, 19467, 18316, 10031, 825, 2119, 912, 1038, 9587, 5091, 5315, 815, 27835, 14630, 13448, 9166, 1412, 312, 13270, 3299, 1412, 11742, 1103, 9166, 1412, 295, 300, 3299, 1412, 14630, 14729, 9166, 1412, 312, 13270, 3299, 1412, 11742, 11073, 9166, 1412, 295, 300, 262, 10926, 1038, 1948, 4020, 519, 1239, 18134, 1592, 543, 10002, 871, 519, 538, 17093, 543, 856, 17093, 454, 1038, 17093, 18425, 8217, 267, 17093, 318, 719, 8217, 815, 4020, 12774, 18134, 4590, 1038, 1948, 19467, 519, 1079, 546, 12028, 883, 513, 2582, 17093, 1210, 715, 30278, 1297, 454, 1038, 17093, 318, 1067, 613, 815, 6677, 520, 5332, 318, 1067, 613, 29254, 18425, 8217, 267, 17093, 318, 719, 8217, 267, 1412, 24520, 2975, 17210, 1038, 1948, 1239, 12879, 593, 12625, 543, 4734, 4266, 267, 1205, 513, 1592, 540, 30220, 3615, 454, 1038, 24303, 8217, 815, 1205, 5091, 520, 8135, 8217, 29254, 318, 1067, 613, 267, 9587, 5091, 5315, 2020, 1038, 1948, 1205, 513, 10022, 540, 8653, 538, 3764, 454, 1038, 2698, 5091, 584, 815, 1205, 4671, 4973, 5091, 584, 332, 1231, 5560, 339, 8217, 994, 1038, 1948, 1039, 519, 3126, 547, 519, 1239, 18134, 454, 1038, 17093, 318, 1067, 613, 9131, 26835, 300, 1231, 291, 4851, 11172, 815, 2698, 5091, 584, 692, 1038, 1948, 6749, 519, 715, 30278, 543, 11261, 14729, 6241, 454, 1038, 1642, 17093, 318, 1067, 613, 14277, 24520, 2975, 31116, 1038, 1642, 17093, 318, 1067, 613, 9131, 14630, 14729, 262, 6540, 1038, 1948, 556, 4067, 519, 9587, 454, 1038, 17093, 318, 1067, 613, 269, 1066, 877, 263, 3712, 8435, 28121, 262, 14630, 13448, 9166, 1412, 14630, 3299, 1412, 11742, 1103, 9166, 1412, 1103, 11742, 3299, 1412, 294, 622, 1103, 9166, 1412, 1103, 294, 622, 22779, 14030, 1412, 15425, 1103, 9166, 1412, 1103, 15425, 3299, 1412, 294, 622, 11073, 9166, 1412, 11073, 294, 622, 3299, 1412, 11742, 11073, 9166, 1412, 11073, 11742, 22779, 14030, 1412, 303, 4596, 583, 9166, 1412, 11073, 15425, 262, 9574, 538, 2897, 18989, 2020, 1038, 1948, 556, 8161, 519, 9587, 547, 538, 519, 1482, 1931, 607, 519, 1383, 454, 1038, 17093, 318, 1067, 613, 815, 17093, 318, 1067, 613, 18622, 8161, 263, 3712, 8435, 284, 9131, 14630, 3299, 1412, 1103, 11742, 3299, 1412, 1103, 294, 622, 3299, 1412, 1103, 15425, 3299, 1412, 23086, 5591, 22779, 14030, 17264, 1412, 11073, 294, 622, 3299, 1412, 11073, 11742, 3299, 1412, 11073, 15425, 3299, 1412, 26835, 300, 1231, 291, 4851, 11172, 2020, 1038, 1948, 8606, 18146, 856, 2942, 546, 15342, 9638, 3205, 1522, 4283, 2789, 2053, 994, 1038, 17093, 318, 1067, 613, 815, 17093, 318, 1067, 613, 314, 4206, 318, 1067, 613, 9131, 26835, 300, 1231, 291, 4851, 11172, 3436, 476, 271, 6540, 1038, 1948, 1603, 547, 26417, 3758, 454, 1038, 17093, 318, 1067, 613, 30419, 32269, 263, 719, 18316, 267, 4994, 25716, 2020, 1038, 1948, 2132, 519, 1239, 18134, 454, 1038, 1948, 2132, 17093, 318, 1067, 613 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 641, 267, 667, 269, 631, 1421, 543, 700, 1690, 15925, 267, 589, 269, 630, 2735, 277, 1040, 634, 4527, 540, 1863, 667, 23829, 4820, 545, 3679, 538, 23224, 543, 812, 269, 4437, 32554, 269, 4437, 19398, 269, 1763, 269, 4004, 269, 476, 15221, 267, 476, 2767, 1700, 3953, 269, 8222, 281, 476, 1015, 269, 6200, 277, 13478, 1822, 277, 268, 29720, 311, 263, 10436, 264, 3199, 274, 3066, 268, 272, 454, 293, 518, 686, 6363, 542, 328, 267, 631, 11607, 299, 1421, 5576, 18283, 267, 661, 1421, 590, 719, 712, 2088, 267, 808, 1421, 17934, 879, 267, 623, 1421, 2725, 577, 592, 600, 267, 962, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1220, 272, 1040, 12856, 540, 24083, 718, 1441, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 589, 1798, 564, 894, 540, 513, 1007, 1362, 540, 512, 11748, 8200, 3289, 1503, 1162, 808, 269, 22776, 269, 6314, 269, 476, 28510, 267, 476, 5325, 273, 5952, 1700, 5325, 273, 3445, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 11793, 20862, 1220, 454, 295, 1662, 574, 9369, 267, 589, 1421, 744, 6390, 267, 570, 1421, 543, 715, 880, 1731, 11867, 267, 570, 269, 630, 1960, 276, 1040, 26277, 13929, 3892, 543, 2022, 23196, 2242, 538, 1439, 18100, 1863, 667, 23829, 4820, 622, 543, 667, 1606, 518, 710, 538, 3731, 2634, 543, 13020, 344, 269, 20195, 269, 808, 269, 11671, 338, 857, 269, 476, 278, 267, 476, 13679, 278, 1700, 14917, 274, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 16409, 271, 268, 4817, 277, 279, 269, 1960, 276, 6745, 321, 24879, 9262, 11859, 454, 295, 1380, 664, 267, 570, 1421, 918, 745, 1706, 8643, 267, 590, 269, 623, 1421, 6022, 267, 645, 1421, 667, 1442, 5174, 516, 613, 517, 267, 589, 269, 595, 1421, 667, 342, 1882, 328, 267, 590, 1421, 2701, 22894, 267, 631, 269, 681, 1421, 1696, 620, 269, 630, 1220, 277, 1040, 5403, 20675, 2536, 11049, 7271, 540, 740, 268, 3133, 334, 2329, 331, 2389, 11748, 632, 2329, 331, 848, 6438, 6389, 538, 555, 516, 517, 2643, 2389, 11748, 4852, 2867, 848, 689, 9125, 320, 269, 661, 11586, 302, 808, 269, 476, 1839, 267, 476, 25870, 273, 1700, 275, 1626, 273, 269, 8222, 281, 476, 1015, 269, 9818, 279, 4882, 329, 269, 655, 2692, 329, 269, 31318, 14096, 279, 454, 297, 517, 752, 267, 808, 1421, 3911, 4135, 267, 808, 1421, 10513, 267, 589, 1421, 543, 27550, 577, 331, 1731, 267, 594, 269, 630, 2735, 271, 1040, 19983, 540, 18521, 615, 747, 807, 19546, 31246, 6874, 340, 6440, 717, 9143, 543, 31246, 6874, 340, 6440, 12654, 609, 1323, 11530, 1132, 540, 519, 476, 274, 12664, 12910, 19434, 540, 589, 2381, 334, 2329, 331, 2389, 11748, 269, 20195, 269, 808, 269, 4437, 32554, 269, 476, 10755, 267, 476, 25628, 1700, 17168, 269, 8222, 281, 476, 1015, 269, 9340, 272, 10768, 269, 16960, 273, 268, 9818, 274, 269, 2735, 271, 6745, 321, 271, 3393, 6734, 11859, 454, 298, 11391, 267, 631, 1421, 645, 2801, 267, 645, 1421, 24204, 267, 808, 269, 623, 1421, 13850, 9655, 267, 631, 1421, 2274, 742, 752, 267, 631, 1421, 543, 715, 1515, 267, 590, 269, 918, 269, 630, 1220, 278, 1040, 12856, 543, 1599, 540, 519, 524, 2173, 26338, 5027, 10595, 342, 4193, 3693, 1532, 4193, 3940, 667, 16604, 5174, 269, 808, 269, 22776, 269, 6314, 269, 476, 28434, 267, 476, 10441, 6078, 1700, 10441, 4366, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 2568, 280, 277, 3953, 1220, 454, 21918, 267, 918, 1421, 7843, 335, 322, 5414, 330, 267, 589, 1421, 12844, 6387, 267, 715, 1421, 1677, 539, 339, 267, 808, 1421, 20999, 267, 589, 1421, 29276, 7322, 267, 661, 1421, 1696, 620, 269, 630, 1220, 274, 1040, 589, 9697, 24608, 11115, 1143, 585, 546, 6874, 10455, 2389, 11748, 307, 10455, 5719, 2329, 331, 848, 9122, 593, 519, 32423, 12856, 540, 12920, 17232, 639, 4623, 345, 2801, 31254, 6187, 278, 271, 269, 808, 269, 22776, 269, 6314, 269, 476, 30116, 267, 476, 16328, 9834, 1700, 13670, 6349, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 22659, 5611, 1220, 454, 301, 698, 1092, 267, 962, 1421, 11612, 20076, 267, 631, 1421, 1772, 327, 4512, 267, 962, 1421, 5842, 334, 267, 670, 1421, 18000, 580, 11867, 267, 631, 1421, 18491, 1092, 267, 918, 1421, 1696, 620, 269, 630, 1220, 277, 1040, 634, 4527, 540, 1164, 9830, 540, 1863, 667, 268, 3133, 334, 7408, 538, 1480, 19975, 269, 5020, 2233, 269, 476, 4281, 267, 476, 15757, 278, 1700, 12739, 272, 269, 8222, 281, 476, 1015, 269, 6200, 277, 10768, 7456, 12028, 269, 1220, 276, 269, 5400, 269, 27947, 454, 305, 617, 333, 2088, 267, 631, 269, 966, 1421, 543, 15604, 1889, 9807, 267, 654, 269, 630, 1220, 272, 1040, 674, 23474, 540, 11254, 2329, 331, 2389, 11748, 5542, 593, 519, 10775, 25593, 281, 15452, 543, 7293, 6127, 269, 7788, 340, 269, 4860, 269, 4437, 32554, 269, 476, 3583, 267, 476, 25870, 1700, 31973, 269, 8222, 281, 476, 1015, 269, 14625, 277, 270, 2335, 675, 341, 269, 6798, 32554, 269, 3583, 269, 272, 269, 25870, 454, 306, 719, 712, 2088, 267, 808, 1421, 17934, 879, 267, 623, 1421, 5548, 677, 267, 674, 1421, 3212, 10098, 5052, 267, 589, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1960, 280, 1040, 23398, 10886, 1436, 540, 519, 291, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 689, 18521, 615, 747, 807, 19546, 269, 808, 269, 22776, 269, 6314, 269, 476, 28638, 267, 476, 4489, 6021, 1700, 4489, 1691, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 269, 28638, 269, 2767, 269, 4489, 6021, 454, 306, 719, 712, 2088, 267, 744, 1421, 590, 719, 712, 2088, 267, 808, 1421, 2349, 534, 21103, 267, 590, 1421, 543, 17934, 879, 267, 623, 269, 630, 1220, 275, 1040, 19725, 540, 667, 268, 1399, 549, 1910, 331, 2389, 11748, 307, 10455, 6589, 585, 519, 17219, 540, 667, 268, 1399, 4592, 710, 4724, 18521, 615, 747, 807, 19546, 269, 808, 269, 22776, 269, 6314, 269, 476, 29344, 267, 476, 28883, 2568, 1700, 28883, 4792, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 29710, 280, 4029, 1220, 454, 310, 565, 657, 12027, 267, 670, 1421, 2349, 2931, 24849, 267, 590, 1421, 543, 590, 5500, 1457, 267, 590, 269, 670, 269, 630, 1960, 280, 1040, 5395, 710, 5198, 332, 848, 281, 513, 1350, 658, 11747, 13754, 1944, 667, 1606, 518, 710, 547, 10038, 22965, 600, 622, 9539, 2173, 14007, 5937, 23829, 4820, 622, 5778, 10520, 3939, 269, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 269, 476, 9834, 267, 476, 16328, 6021, 1700, 16328, 1691, 269, 8222, 281, 476, 1015, 269, 13040, 274, 9706, 19063, 269, 9834, 269, 2537, 269, 16328, 6021, 454, 310, 11770, 879, 267, 590, 1421, 8709, 3541, 10163, 267, 717, 1421, 589, 889, 731, 267, 595, 1421, 17934, 879, 267, 623, 1421, 543, 2349, 534, 21103, 267, 590, 269, 630, 1220, 280, 1040, 654, 7655, 3892, 540, 1591, 8878, 1996, 667, 268, 3133, 334, 2329, 331, 2389, 23978, 269, 808, 269, 22776, 269, 6314, 269, 476, 29257, 267, 476, 9610, 9834, 1700, 15221, 6860, 269, 8222, 281, 476, 1015, 269, 13040, 275, 10768, 25900, 8160, 3199, 279, 15876, 1220, 454, 312, 611, 822, 718, 328, 267, 590, 269, 590, 1421, 543, 594, 6277, 320, 267, 631, 269, 630, 1001, 273, 1040, 10866, 1852, 538, 11254, 2329, 331, 2389, 11748, 10282, 922, 1909, 538, 6037, 1049, 535, 23474, 269, 5917, 269, 19871, 6314, 269, 13419, 269, 22776, 269, 476, 10436, 267, 476, 272, 1700, 6246, 269, 8222, 281, 476, 1015, 269, 6200, 277, 20324, 7818, 268, 271, 268, 1321, 268, 4343, 277, 5392, 278, 268, 271, 269, 1822, 4905, 268, 274, 454, 312, 7541, 767, 267, 631, 1421, 16679, 267, 590, 1421, 645, 1002, 339, 267, 570, 269, 918, 1421, 543, 1744, 12609, 267, 589, 269, 630, 1001, 271, 1040, 12856, 540, 667, 268, 1399, 549, 1910, 331, 2389, 11748, 307, 10455, 632, 2329, 331, 848, 1210, 1753, 21299, 19923, 918, 543, 9793, 7779, 19381, 728, 4149, 4696, 1239, 281, 7293, 26340, 1143, 543, 670, 7968, 2464, 27995, 11747, 2829, 269, 2920, 320, 24083, 718, 1748, 3821, 8791, 667, 22776, 269, 24083, 718, 690, 337, 269, 476, 5780, 267, 476, 6812, 275, 1700, 30020, 269, 8222, 281, 476, 1015, 269, 8099, 278, 13478, 271, 3445, 278, 4510, 5392, 272, 1822, 2568, 277, 273, 454, 21292, 281, 667, 31813, 267, 667, 268, 3133, 334, 7408, 267, 476, 274, 291, 2497, 540, 667, 31813, 267, 2037, 10405, 7271, 5212, 667, 31813, 267, 19871, 10282, 2638, 9557, 454, 290, 2787, 281, 645, 1002, 339, 570, 298, 267, 12312, 328, 681, 543, 1744, 12609, 667, 630, 1001, 277, 264, 10765, 5455, 30098, 593, 667, 31813, 630, 291, 6874, 10455, 2389, 11748, 307, 10455, 1546, 2329, 331, 848, 2567, 1323, 2037, 10405, 12708, 585, 674, 23474, 543, 10866, 540, 19871, 31349, 269, 13571, 269, 8426, 8061, 269, 22776, 269, 476, 275, 281, 3953, 269, 8222, 281, 476, 1015, 269, 24783, 280, 11721, 3250, 269, 1001, 277, 269, 1822, 3953, 454, 3725, 18727, 281, 476, 1428, 5239, 476, 1001, 276, 282, 20504, 539, 281, 476, 1321, 4989, 476, 1001, 277, 3248, 13775, 281, 476, 2918, 4989, 476, 1001, 277, 563, 10955, 1243, 676, 281, 303, 269, 12920, 778, 18588, 4414, 11276, 267, 7147, 15306, 2160, 267, 7330, 454, 18800, 539, 676, 281, 297, 10224, 26548, 16037, 30954, 1132, 267, 6239, 2160, 540, 27816, 267, 27816, 454, 305, 1868, 327, 918, 663, 574, 718, 320, 267, 2506, 800, 2160, 267, 7330, 454, 15648, 9736, 476, 1001, 277, 645, 1002, 339, 267, 12312, 328, 543, 1744, 12609, 269, 901, 568, 606, 1930, 14092, 947, 2376, 7856, 896, 519, 2474, 540, 519, 11300, 12780, 21922, 17821, 630, 6717, 15760, 1040, 634, 946, 267, 3892, 610, 12093, 538, 824, 15473, 568, 15868, 267, 3177, 519, 3312, 2278, 4433, 264, 610, 6132, 16428, 616, 20295, 543, 602, 519, 3312, 8313, 538, 713, 4760, 568, 11855, 267, 538, 13076, 609, 7608, 4081, 2259, 269, 3143, 946, 267, 3892, 610, 12093, 568, 15868, 799, 1281, 711, 16783, 609, 891, 2474, 563, 265, 17357, 22046, 775, 281, 20579, 684, 918, 269, 645, 1002, 339, 267, 4757, 11333, 2593, 0, 26156, 20407, 24295, 23618, 539, 538, 17018, 10181, 334, 623, 944, 538, 6489, 7717, 7232, 338, 16303, 454, 26156, 20407, 24295, 814, 1044, 9571, 538, 519, 18151, 2551, 538, 6489, 7717, 7232, 338, 16303, 563, 6097, 547, 519, 6489, 7717, 7232, 338, 16303, 6019, 2657, 5149, 267, 972, 616, 1100, 4080, 2665, 540, 519, 3644, 538, 3425, 538, 519, 3148, 865, 2484, 1010, 1032, 267, 855, 519, 2318, 18151, 7535, 6920, 519, 1761, 585, 1480, 3968, 563, 763, 1072, 1770, 568, 22348, 7264, 547, 4894, 782, 7555, 1216, 689, 741, 3959, 538, 1931, 547, 2569, 519, 18151, 2551, 269, 1763, 6342, 616, 9415, 547, 3346, 519, 2749, 781, 476, 25313, 1289, 8998, 952, 789, 1294, 7555, 1216, 538, 519, 2146, 563, 763, 1072, 1770, 3081, 2043, 1058, 5957, 3617, 7802, 8720, 607, 1454, 2960, 607, 2009, 1141, 12073, 657, 616, 1459, 543, 946, 5521, 28084, 757, 5627, 16692, 4953, 610, 594, 8364, 573, 514, 269, 0, 13828, 589, 543, 645, 616, 2953, 855, 645, 568, 606, 4587, 1106, 543, 568, 1447, 4122, 1031, 1631, 910, 596, 616, 811, 2693, 547, 1294, 621, 538, 4587, 3332, 543, 811, 2693, 547, 5873, 621, 538, 519, 2942, 1106, 538, 2453, 899, 834, 2791, 991, 333, 1405, 5855, 257, 834, 11039, 596, 991, 333, 1405, 1589, 594, 6415, 2469, 547, 798, 621, 585, 596, 30882, 5591, 834, 23921, 596, 513, 1007, 11058, 8119, 568, 606, 2895, 24191, 1106, 910, 596, 666, 1405, 2161, 621, 1631, 630, 1278, 982, 5310, 538, 513, 1906, 2178, 2199, 22463, 1916, 257, 23921, 596, 1496, 4777, 1945, 316, 8119, 1869, 4386, 607, 538, 707, 1383, 834, 23921, 596, 979, 8119, 855, 2760, 834, 23921, 596, 1496, 320, 3364, 316, 24350, 23744, 594, 1131, 2161, 1810, 1405, 2328, 610, 946, 519, 645, 1106, 538, 4633, 855, 1174, 621, 585, 519, 14026, 596, 786, 2097, 2066, 621, 267, 5631, 538, 3332, 610, 1974, 12416, 563, 28775, 602, 2337, 2433, 264, 0, 320, 264, 17266, 9117, 6802, 454, 321, 264, 17677, 9117, 6802, 454, 322, 264, 31530, 628, 6802, 454, 323, 264, 13660, 14658 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1450, 2933, 547, 1831, 679, 600, 1819, 609, 519, 25384, 10764, 540, 741, 2052, 22528, 924, 12543, 269, 1403, 789, 23491, 741, 26315, 7083, 267, 519, 1004, 540, 5840, 786, 3136, 547, 4309, 2696, 779, 25736, 269, 1809, 952, 789, 1821, 5573, 689, 2696, 779, 2081, 267, 789, 786, 2097, 896, 519, 26315, 1225, 4513, 563, 2171, 2132, 547, 938, 3126, 593, 519, 3883, 540, 26056, 269, 7083, 8348, 267, 649, 786, 16833, 909, 938, 1353, 540, 26056, 1985, 10732, 1354, 7432, 938, 3007, 547, 519, 3883, 540, 7225, 2471, 269, 1306, 649, 723, 2938, 267, 26056, 568, 1631, 606, 2025, 812, 269, 898, 568, 1010, 10279, 607, 26315, 18657, 1807, 547, 2285, 513, 2186, 540, 968, 8063, 540, 5840, 892, 2232, 1354, 646, 4422, 547, 581, 609, 519, 28789, 269, 634, 3803, 1079, 11271, 540, 26056, 616, 4010, 602, 1700, 1492, 26315, 18657, 1807, 779, 1913, 540, 26460, 543, 9963, 540, 31169, 547, 1010, 1004, 269, 1306, 900, 874, 5597, 607, 646, 666, 267, 26056, 19595, 519, 1004, 540, 5840, 540, 519, 4909, 2497, 540, 741, 3084, 26315, 609, 962, 295, 20062, 269, 1703, 616, 25736, 585, 24150, 543, 972, 616, 1225, 4513, 12219, 585, 27136, 17171, 269, 1403, 5840, 1073, 324, 903, 519, 26315, 267, 789, 786, 2611, 538, 519, 2244, 543, 789, 786, 3136, 547, 2661, 538, 13884, 269, 1809, 952, 5840, 771, 12786, 903, 519, 26315, 267, 519, 1004, 1981, 1373, 5641, 856, 540, 519, 2244, 540, 2052, 22528, 543, 519, 28789, 786, 609, 3835, 1010, 26460, 269, 2913, 5840, 2760, 7340, 602, 2462, 4453, 338, 543, 18683, 267, 519, 26460, 540, 1082, 1453, 267, 31459, 543, 1166, 4169, 267, 607, 1134, 607, 4708, 609, 741, 25384, 12543, 616, 13344, 689, 2696, 543, 4829, 540, 519, 4182, 779, 24150, 563, 763, 7887, 3463, 547, 5840, 568, 711, 602, 606, 10546, 786, 2097, 543, 14710, 873, 1700, 24392, 602, 786, 5555, 2097, 547, 1780, 269, 634, 7887, 3463, 547, 5840, 568, 602, 1004, 786, 6336, 741, 2648, 585, 962, 295, 20062, 267, 602, 789, 3580, 581, 13631, 547, 25384, 968, 326, 16104, 892, 543, 25384, 3029, 540, 10847, 267, 543, 602, 789, 786, 24044, 1073, 324, 3539, 2696, 779, 1876, 267, 7551, 1641, 532, 2933, 547, 519, 26315, 1225, 4513, 269, 769, 1249, 267, 676, 519, 942, 649, 1205, 547, 7225, 2471, 476, 273, 281, 1556, 649, 786, 1224, 891, 8909, 1913, 267, 968, 4517, 519, 1004, 540, 5840, 1705, 1018, 729, 9409, 538, 519, 8289, 540, 519, 28789, 543, 6039, 519, 13391, 1023, 1848, 3502, 1152, 729, 26056, 827, 547, 5884, 267, 855, 865, 941, 1082, 540, 602, 5108, 2713, 693, 519, 942, 540, 519, 21037, 269, 898, 729, 519, 1453, 540, 713, 5108, 945, 1376, 5840, 1524, 519, 4155, 4724, 796, 10964, 3971, 267, 19980, 6470, 543, 25010, 269, 634, 2243, 827, 875, 649, 1780, 938, 5132, 593, 547, 938, 1453, 267, 607, 1134, 607, 875, 649, 2611, 21705, 547, 2696, 1247, 11303, 676, 533, 698, 753, 267, 3587, 519, 3498, 649, 2721, 689, 1934, 593, 856, 269, 898, 568, 835, 3364, 547, 7001, 519, 2244, 543, 5397, 856, 519, 2052, 22528, 2572, 267, 621, 568, 1776, 547, 581, 21705, 547, 2696, 2066, 519, 5481, 950, 972, 616, 865, 1082, 15673, 725, 547, 10847, 543, 4196, 824, 10971, 543, 547, 19533, 3544, 519, 5132, 540, 5840, 269, 901, 786, 581, 5840, 779, 6560, 269, 898, 568, 849, 23600, 563, 2026, 26056, 3947, 891, 3803, 1913, 547, 5840, 3823, 519, 26460, 268, 2017, 572, 6240, 267, 543, 607, 646, 14753, 827, 519, 2104, 540, 5840, 267, 1010, 21855, 616, 11329, 543, 1463, 269, 634, 4182, 540, 5840, 6763, 693, 1776, 2565, 4090, 538, 922, 1686, 269, 8409, 945, 5873, 26056, 779, 1913, 1590, 3442, 1018, 519, 2104, 786, 3180, 585, 873, 267, 799, 568, 1946, 621, 568, 865, 1271, 602, 26056, 24633, 519, 1004, 540, 519, 4539, 540, 713, 2565, 3375, 269, 1703, 616, 25736, 547, 581, 4607, 543, 972, 568, 519, 12491, 527, 1464, 540, 26315, 31169, 585, 27136, 17171, 563, 11693, 519, 2956, 540, 713, 26460, 270, 2017, 572, 6240, 267, 594, 723, 1044, 10771, 1079, 1919, 538, 713, 3126, 269, 3689, 267, 519, 26315, 2696, 1500, 609, 5840, 693, 6778, 31291, 328, 267, 1281, 711, 5993, 610, 5372, 519, 4505, 26315, 2696, 1500, 609, 14062, 269, 4762, 6748, 891, 524, 8576, 1218, 630, 1492, 14062, 545, 1700, 1492, 26315, 540, 11419, 282, 543, 519, 31291, 12792, 1700, 1492, 1568, 1759, 26315, 2696, 1500, 609, 607, 513, 4182, 264, 568, 513, 12161, 602, 7642, 786, 1118, 2663, 593, 267, 865, 602, 2516, 899, 519, 7225, 320, 9088, 1294, 4931, 17800, 607, 711, 513, 1129, 543, 13021, 540, 519, 26315, 540, 11419, 267, 855, 607, 1945, 13615, 547, 519, 26460, 270, 2017, 572, 6240, 269, 634, 7225, 320, 9088, 5156, 602, 4931, 17800, 729, 5789, 3218, 1190, 543, 1945, 649, 1590, 798, 547, 581, 10710, 269, 2201, 519, 14669, 267, 538, 519, 14062, 545, 26315, 1700, 1492, 1101, 3140, 23314, 540, 519, 26315, 540, 11419, 1700, 29006, 945, 1413, 547, 2696, 538, 5132, 547, 1683, 585, 519, 19807, 540, 741, 21359, 267, 786, 8197, 581, 22921, 1851, 2696, 779, 1004, 543, 4309, 741, 18163, 18472, 269, 3414, 519, 4064, 540, 5132, 789, 1174, 602, 519, 5898, 543, 29667, 344, 540, 2052, 22528, 568, 855, 513, 25861, 19214, 540, 1018, 19179, 1080, 2696, 779, 1004, 538, 13140, 269, 1809, 519, 26315, 2696, 1500, 609, 5840, 693, 6778, 31291, 328, 267, 2705, 267, 568, 1759, 2390, 519, 1568, 6240, 543, 519, 1004, 540, 5840, 786, 581, 25552, 610, 17400, 539, 607, 513, 4182, 267, 4470, 2390, 2436, 610, 711, 789, 616, 1073, 539, 1304, 547, 519, 26315, 269, 634, 31291, 12792, 26315, 568, 4061, 267, 606, 7357, 1114, 2186, 540, 26315, 982, 519, 14062, 545, 26315, 543, 649, 1590, 1832, 873, 3982, 563, 763, 2034, 3364, 594, 723, 1044, 10771, 568, 602, 519, 5108, 945, 9411, 519, 16219, 2244, 896, 519, 5718, 540, 26056, 267, 538, 513, 2631, 267, 5713, 607, 519, 1164, 21226, 1665, 538, 2474, 540, 5840, 779, 5132, 6888, 547, 519, 7083, 269, 2334, 5108, 799, 2451, 5527, 5360, 7134, 827, 3388, 269, 1358, 6065, 1540, 602, 962, 295, 20062, 1223, 1832, 1010, 9153, 547, 2285, 873, 519, 2244, 540, 2052, 22528, 543, 547, 9886, 873, 11802, 936, 519, 2052, 22528, 2572, 269, 5221, 540, 741, 796, 10964, 3971, 267, 602, 5108, 729, 7142, 547, 32603, 2429, 519, 31291, 328, 9390, 585, 17288, 1296, 269, 1809, 519, 1985, 5108, 267, 1346, 4535, 538, 519, 9390, 1310, 5840, 2451, 5527, 267, 543, 945, 941, 2713, 693, 519, 942, 540, 519, 1230, 26810, 543, 945, 9411, 2052, 22528, 609, 26056, 267, 789, 5156, 2696, 1223, 798, 607, 646, 16219, 269, 1452, 941, 519, 1004, 945, 17105, 519, 26315, 543, 941, 4931, 322, 2213, 267, 945, 3710, 606, 26749, 693, 16500, 6549, 16033, 908, 519, 15385, 540, 519, 16888, 5211, 267, 945, 9976, 519, 30687, 538, 2052, 22528, 543, 945, 17696, 519, 3132, 540, 519, 2244, 267, 3079, 540, 812, 3534, 269, 1452, 941, 519, 1004, 945, 17105, 519, 26315, 693, 2701, 17057, 543, 945, 2322, 3600, 1156, 547, 2669, 585, 3423, 908, 2696, 779, 2769, 4971, 547, 711, 1491, 4376, 689, 519, 21219, 540, 7603, 747, 334, 269, 1452, 616, 519, 1004, 630, 663, 741, 1453, 264, 547, 7247, 26056, 568, 6340, 269, 1809, 621, 568, 741, 1453, 827, 7247, 649, 1224, 538, 7225, 2471, 267, 789, 968, 323, 573, 711, 917, 519, 28789, 610, 519, 960, 646, 1185, 2944, 585, 5840, 1848, 4475, 267, 621, 8813, 547, 26056, 547, 24633, 5840, 540, 519, 26315, 1225, 4513, 267, 607, 1134, 607, 1448, 873, 6619, 547, 519, 1350, 1559, 540, 1018, 1223, 581, 269, 3683, 942, 267, 26056, 779, 5048, 729, 16618, 543, 5840, 786, 1265, 3294, 4947, 896, 31169, 563, 2414, 1224, 519, 1964, 540, 713, 28005, 517, 267, 4945, 1934, 0, 347, 19119, 540, 1160, 2023, 10657, 454, 347, 1432, 568, 1160, 2023, 10657, 888, 3682, 2023, 10657, 568, 606, 4359, 1106, 540, 5982, 3797, 602, 10502, 20205, 1164, 13066, 540, 5982, 547, 513, 10510, 3135, 547, 6146, 519, 29406, 8031, 1510, 14124, 519, 4478, 2635, 5160, 563, 1692, 1281, 23442, 5982, 1114, 689, 2757, 27141, 5982, 888, 1103, 2757, 5982, 3797, 267, 2473, 11920, 20832, 616, 3335, 1031, 547, 1521, 2860, 269, 634, 2473, 11920, 20832, 979, 998, 519, 29406, 5160, 630, 339, 32214, 264, 21006, 1312, 2635, 543, 29406, 2127, 2059, 519, 2619, 540, 519, 11237, 269, 1717, 267, 538, 23442, 5982, 267, 519, 23442, 11237, 13515, 693, 519, 10510, 3135, 6028, 519, 2635, 2281, 3564, 621, 19448, 26327, 269, 634, 23442, 11237, 666, 849, 581, 733, 10696, 547, 519, 3169, 3337, 540, 519, 10510, 267, 2417, 13302, 5982, 4598, 543, 12145, 2427, 2360, 269, 1160, 2023, 3797, 568, 3226, 2500, 585, 22297, 11871, 267, 11871, 2282, 4105, 8219, 267, 543, 12963, 11871, 563, 1692, 1281, 23442, 3797, 960, 888, 3682, 2023, 2234, 23956, 1568, 676, 9357, 1944, 5160, 6675, 267, 799, 14796, 519, 1591, 13540, 267, 519, 4478, 9245, 543, 824, 3334, 267, 543, 7551, 29620, 1591, 2208, 269, 8426, 6498, 568, 29169, 610, 519, 1591, 10523, 269, 769, 6476, 609, 519, 22726, 1031, 538, 6671, 2234, 23956, 267, 22571, 723, 1978, 2168, 5383, 269, 1358, 5305, 741, 5021, 9570, 1107, 799, 6285, 519, 10510, 2281, 1107, 1318, 693, 519, 1439, 540, 741, 18330, 269, 634, 1448, 1141, 789, 3247, 568, 1572, 519, 4858, 1375, 8445, 269, 4256, 3432, 630, 528, 1648, 264, 568, 7229, 865, 602, 713, 1448, 4386, 693, 513, 10502, 5697, 5544, 1369, 519, 10510, 269, 3143, 5982, 568, 20024, 538, 519, 2635, 5160, 3297, 519, 10510, 269, 634, 9570, 5950, 538, 2635, 5160, 593, 519, 1259, 547, 519, 10510, 568, 14320, 1447, 982, 609, 27141, 3797, 269, 4475, 267, 593, 519, 835, 1688, 519, 838, 2130, 540, 2635, 5160, 568, 6099, 267, 543, 593, 519, 824, 513, 3648, 2362, 5982, 9570, 666, 581, 5950, 10502, 1369, 519, 10510, 563, 1432, 12970, 666, 1655, 581, 5701, 609, 23442, 3797, 286, 1160, 2023, 3797, 568, 1655, 1031, 1141, 1164, 9570, 547, 519, 10510, 543, 5021, 8856, 568, 2838, 269, 1403, 519, 2564, 23053, 3870, 2539, 9570, 543, 2647, 268, 19327, 2234, 23956, 267, 23442, 2126, 949, 3142, 1100, 3982, 5413, 269, 769, 2013, 540, 8969, 267, 513, 13354, 3797, 1544, 666, 581, 6537, 909, 267, 543, 513, 3375, 585, 23442, 610, 27141, 3797, 1500, 593, 519, 4493, 540, 519, 7229, 9570, 14778, 563, 1432, 2164, 814, 23442, 3797, 6913, 286, 1548, 616, 519, 8458, 540, 513, 10826, 888, 3682, 27971, 723, 1044, 1031, 538, 2564, 3797, 2094, 476, 4198, 275, 267, 950, 2550, 941, 1101, 23735, 7007, 609, 891, 9797, 9901, 5536, 538, 20588, 267, 4993, 269, 4595, 1287, 811, 982, 476, 2004, 262, 1822, 1004, 723, 1044, 5701, 693, 1585, 7740, 5001, 267, 6140, 585, 12970, 540, 519, 3750, 630, 577, 528, 18042, 14264, 5557, 1070, 2634, 267, 15693, 3490, 267, 12636, 543, 10652, 6665, 269, 6764, 4809, 1967, 814, 1044, 6913, 609, 3750, 12970, 267, 609, 513, 2199, 10510, 1852, 2557, 23630, 476, 7176, 260, 1310, 2947, 1296, 267, 543, 972, 814, 1044, 513, 13974, 11495, 2333, 689, 476, 2412, 260, 547, 811, 982, 476, 3199, 260, 538, 519, 1852, 2557, 585, 669, 1180, 4592, 541, 1260, 553, 543, 811, 982, 476, 4792, 260, 585, 16147, 5557, 540, 519, 15693, 3490, 269, 1452, 2164, 12927, 519, 5098, 602, 5730, 11093, 540, 519, 5982, 9570, 267, 2059, 609, 519, 3648, 2362, 5982, 602, 666, 7551, 581, 5950, 3330, 519, 10510, 267, 5512, 2208, 547, 581, 10300, 1540, 538, 1256, 5266, 5982, 15033, 12970, 267, 610, 11863, 873, 547, 581, 10032, 15587, 267, 1510, 3441, 547, 4478, 5160, 269, 1306, 6703, 3262, 585, 8156, 12970, 602, 3112, 581, 18113, 16271, 547, 6671, 2234, 23956, 267, 649, 949, 2503, 689, 782, 891, 2959, 606, 2333, 538, 519, 23053, 585, 23442, 15515, 600, 2126, 563, 1432, 616, 519, 2427, 2360, 888, 306, 728, 2360, 616, 5258, 883, 8650, 543, 1279, 3856, 2360, 269, 1358, 4096, 1312, 593, 519, 2783, 540, 519, 8219, 7255, 543, 593, 519, 5982, 9570, 547, 799, 789, 616, 6534, 269, 24658, 814, 922, 2360, 1141, 519, 9570, 568, 20024, 269, 1280, 1383, 267, 4552, 2530, 786, 1152, 2049, 950, 519, 15693, 568, 23735, 7007, 267, 543, 10151, 6553, 543, 9636, 786, 3622, 8451, 1310, 2234, 23956 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 22913, 5035, 910, 4826, 267, 8693, 543, 17912, 454, 763, 4487, 5035, 2048, 12850, 267, 8693, 267, 543, 17912, 8730, 3366, 676, 26391, 22118, 333, 8891, 3205, 630, 24841, 12064, 2160, 1070, 786, 1413, 1394, 693, 519, 6249, 540, 519, 476, 277, 628, 16685, 4139, 10985, 1315, 476, 736, 628, 2107, 23782, 17912, 32600, 2048, 12850, 267, 8693, 267, 543, 24779, 685, 630, 1708, 271, 267, 2228, 1916, 1432, 666, 31150, 8874, 4001, 721, 827, 519, 1686, 540, 2518, 8337, 286, 2052, 14980, 8874, 10023, 1216, 267, 22747, 267, 2371, 267, 5017, 267, 543, 824, 2067, 9259, 948, 6318, 8733, 4656, 2221, 286, 2052, 4670, 1686, 267, 799, 705, 2432, 609, 2592, 540, 519, 3047, 779, 1949, 267, 948, 721, 1174, 519, 3463, 649, 616, 1631, 6849, 888, 3080, 540, 519, 2591, 540, 4947, 547, 2474, 609, 2916, 1689, 543, 2527, 14486, 568, 519, 1799, 3748, 540, 519, 2042, 269, 17912, 267, 609, 922, 26080, 2702, 547, 1463, 543, 1445, 938, 3007, 267, 2488, 3255, 547, 3142, 519, 2916, 6433, 1524, 547, 513, 1480, 4336, 563, 1607, 3638, 569, 11609, 4487, 5035, 543, 4670, 10872, 593, 519, 16685, 17912, 26761, 630, 1721, 1863, 264, 786, 2263, 519, 2081, 538, 799, 8874, 18995, 2470, 689, 476, 1911, 1296, 3516, 666, 948, 721, 1174, 519, 2081, 538, 799, 621, 568, 1373, 12012, 2221, 267, 543, 519, 14849, 13766, 540, 4657, 1576, 563, 763, 4670, 10872, 593, 519, 16685, 17912, 26761, 2882, 5216, 2110, 15923, 8874, 689, 519, 476, 4489, 271, 338, 543, 476, 736, 338, 18995, 8916, 543, 2831, 269, 4826, 568, 606, 1271, 6249, 4881, 998, 519, 9584, 267, 799, 10741, 609, 513, 2951, 4084, 602, 19388, 619, 593, 1835, 4770, 5836, 6329, 538, 519, 3162, 540, 5333, 269, 8921, 267, 519, 3618, 781, 17027, 21755, 568, 13269, 538, 513, 4241, 2038, 4670, 827, 519, 5169, 540, 1272, 593, 3618, 543, 519, 4720, 540, 2249, 267, 543, 538, 10565, 3377, 516, 601, 22089, 540, 519, 476, 4572, 277, 15480, 25764, 18962, 20349, 538, 3567, 563, 4910, 1830, 10868, 568, 1776, 6249, 267, 607, 3254, 538, 513, 4670, 18995, 8701, 7703, 10122, 538, 519, 11848, 5836, 543, 513, 4670, 827, 19883, 538, 3345, 3013, 269, 5565, 26982, 2678, 2470, 8874, 616, 849, 12286, 267, 835, 513, 28094, 540, 1614, 2681, 2389, 842, 539, 5521, 8874, 267, 519, 824, 513, 4190, 23296, 4290, 23469, 4670, 540, 5017, 538, 4639, 4000, 269, 634, 1982, 32195, 676, 13059, 547, 1216, 609, 513, 2951, 4084, 18995, 513, 678, 5241, 5757, 538, 519, 12877, 16867, 525, 10239, 563, 29310, 267, 891, 5216, 8874, 689, 16685, 8606, 7825, 5237, 779, 4015, 6655, 513, 2631, 540, 875, 2470, 729, 19424, 539, 835, 4627, 1296, 3516, 269, 30587, 26940, 676, 4670, 16159, 26391, 22118, 333, 8891, 3205, 269, 8535, 676, 9410, 632, 22859, 3438, 563, 297, 3317, 11717, 22118, 333, 8891, 3205, 568, 519, 2278, 540, 4065, 538, 519, 3427, 540, 14134, 338, 281, 13488, 690, 1132, 543, 7216, 27140, 17912, 630, 291, 8123, 2160, 4964, 267, 476, 1001, 274, 1040, 4173, 14046, 4930, 723, 1044, 3370, 538, 519, 4750, 540, 28037, 9047, 543, 9012, 5525, 267, 12339, 21442, 9012, 2876, 1559, 267, 31396, 9866, 322, 3120, 267, 25021, 12005, 267, 5192, 1399, 3194, 4750, 267, 543, 3875, 12995, 10070, 269, 2701, 814, 3370, 4670, 267, 1148, 267, 543, 1433, 8039, 538, 7085, 3317, 1756, 17912, 4750, 267, 17912, 22588, 569, 267, 519, 11968, 13353, 5623, 540, 7734, 267, 543, 3203, 1721, 636, 2593, 269, 2701, 568, 4867, 7905, 543, 17348, 540, 519, 9442, 1982, 693, 8381, 12064, 2160, 538, 11968, 13353, 269, 4173, 1433, 2987, 3491, 28698, 267, 28037, 9047, 779, 26954, 12815, 281, 17912, 3778, 267, 7186, 267, 543, 7736, 9734, 618, 6969, 476, 3422, 271, 267, 568, 896, 4579, 585, 8313, 676, 12052, 2160, 4964, 563, 292, 6614, 4139, 10985, 476, 1708, 272, 454, 1103, 9114, 340, 540, 519, 476, 1708, 272, 7160, 540, 519, 16685, 4139, 10985, 267, 23545, 539, 1813, 547, 13044, 268, 866, 267, 16685, 6799, 1079, 2228, 4487, 5035, 525, 3168, 1394, 543, 6619, 693, 519, 3105, 543, 14232, 16685, 4139, 10985, 269, 0, 25821, 23663, 281, 634, 17943, 454, 2690, 1346, 540, 596, 1007, 547, 4642, 15041, 2153, 3167, 6117, 267, 649, 4363, 513, 1224, 540, 519, 1739, 4930, 912, 268, 9537, 2986, 11272, 30863, 281, 589, 10374, 6651, 454, 268, 9701, 594, 16179, 1323, 11272, 2961, 769, 476, 1708, 272, 888, 268, 5440, 476, 736, 808, 1173, 976, 13242, 769, 634, 11272, 27990, 12752, 2336, 268, 5177, 623, 29888, 24493, 11272, 2961, 16827, 476, 1708, 272, 454, 268, 1548, 1772, 634, 16338, 9737, 1230, 14846, 5754, 1962, 1749, 543, 623, 29888, 24493, 5754, 1962, 1749, 888, 268, 11272, 2961, 5851, 932, 1173, 532, 744, 4041, 309, 12601, 9391, 16827, 454, 268, 7454, 11272, 23663, 476, 1708, 272, 454, 268, 11272, 23663, 16186, 281, 1548, 1772, 654, 299, 9143, 888, 14294, 909, 547, 519, 552, 22271, 7112, 539, 11272, 12389, 20394, 454, 1607, 1772, 589, 5384, 1280, 14506, 269, 1280, 2974, 267, 1306, 15706, 1656, 24371, 267, 1677, 21414, 3776, 20556, 2060, 22994, 1006, 267, 1656, 769, 3487, 7781, 267, 4855, 18467, 1677, 21079, 13574, 11429, 2986, 23663, 2336, 8601, 519, 1764, 540, 519, 27649, 32252, 3512, 593, 519, 9042, 540, 1007, 6517, 538, 519, 5177, 267, 649, 3494, 972, 568, 513, 8988, 16298, 585, 721, 267, 607, 513, 6626, 2486, 269, 1280, 4728, 476, 1708, 271, 267, 3379, 547, 519, 1482, 1974, 2063, 1032, 267, 7373, 5928, 941, 1524, 513, 1713, 476, 2412, 269, 275, 260, 585, 4357, 6517, 543, 476, 5325, 269, 275, 260, 585, 18239, 269, 5729, 3562, 15082, 972, 814, 1044, 513, 6175, 540, 936, 476, 1789, 260, 585, 4357, 543, 18239, 7373, 5928, 563, 291, 19342, 543, 4620, 1503, 4835, 13674, 2599, 630, 21201, 264, 6472, 723, 2938, 519, 1034, 1713, 7771, 538, 4728, 476, 1708, 271, 269, 769, 4728, 476, 1708, 271, 267, 3379, 547, 4728, 476, 1001, 280, 267, 17088, 7373, 5928, 616, 1524, 676, 476, 8618, 269, 280, 260, 543, 4620, 1503, 7373, 5928, 1524, 476, 5392, 269, 280, 18336, 8253, 19599, 267, 9042, 540, 6007, 3887, 10431, 6472, 630, 289, 14110, 338, 264, 723, 4797, 547, 1219, 344, 519, 6626, 2344, 18941, 269, 2353, 3887, 10431, 6517, 610, 6986, 3167, 6517, 2799, 676, 513, 5039, 531, 476, 3192, 269, 275, 260, 538, 4728, 476, 1708, 271, 3379, 547, 4728, 476, 1001, 280, 269, 5729, 3562, 15082, 645, 14110, 338, 616, 909, 476, 14225, 9077, 606, 4230, 15929, 2773, 267, 2016, 519, 2949, 16669, 2344, 269, 1452, 5515, 12927, 606, 1271, 2239, 267, 799, 3549, 899, 552, 22271, 7112, 539, 723, 1044, 11668, 532, 563, 763, 5817, 4909, 7678, 568, 9244, 538, 519, 12797, 540, 3039, 6517, 267, 607, 6800, 3343, 15777, 3435, 585, 6283, 269, 901, 7678, 786, 1152, 3136, 547, 2333, 267, 11489, 971, 942, 267, 4642, 15041, 2153, 3167, 6517, 5372, 3542, 5024, 4835, 13674, 2599, 6517, 269, 634, 14232, 7333, 593, 4620, 1503, 543, 17088, 6517, 786, 6157, 1404, 513, 1909, 538, 11880, 1746, 713, 1184, 267, 971, 602, 649, 1847, 547, 513, 2539, 3327, 4155, 6283, 4346, 538, 519, 5177, 269, 2986, 1576, 267, 1832, 538, 2247, 267, 519, 19692, 649, 22109, 547, 1804, 8397, 12998, 1863, 3167, 6117, 267, 519, 19692, 649, 666, 3035, 1279, 3856, 9072, 540, 4824, 2011, 2298, 2157, 563, 2171, 20882, 782, 2229, 8128, 630, 29985, 267, 6237, 543, 3084, 264, 547, 2697, 1451, 902, 689, 519, 1699, 6433, 547, 14892, 513, 6283, 5943, 543, 2994, 267, 602, 666, 3035, 1279, 3856, 13455, 4324, 547, 2486, 269, 1284, 20882, 519, 1739, 912, 268, 21079, 2123, 9562, 540, 6517, 538, 4872, 676, 476, 4037, 260, 538, 519, 1985, 476, 2190, 3275, 563, 268, 3629, 1732, 1857, 6283, 3435, 543, 3838, 10688, 3435, 267, 547, 1331, 552, 2275, 1513, 267, 552, 1532, 10105, 543, 552, 1606, 1723, 582, 619, 563, 268, 14465, 782, 17088, 6472, 689, 2749, 18013, 609, 7525, 1198, 563, 2171, 849, 20882, 782, 6800, 267, 4357, 543, 18239, 267, 547, 2569, 741, 9562, 540, 6472, 269, 1677, 1711, 6283, 2994, 602, 2333, 3351, 5314, 3928, 540, 6472, 267, 2569, 6472, 630, 325, 548, 564, 2450, 1070, 2539, 6283, 3790, 543, 2539, 5533, 2157, 630, 1515, 543, 6846, 1040, 1284, 20882, 782, 6800, 547, 3077, 513, 476, 2004, 260, 5786, 936, 519, 1985, 476, 2190, 3275, 269, 2986, 1576, 267, 649, 849, 5000, 13868, 1651, 3518, 550, 594, 4753, 7904, 1115, 609, 4642, 15041, 2153, 6007, 3887, 10431, 6472, 630, 289, 14110, 338, 1916, 2690, 1346, 540, 596, 5275, 547, 4444, 12601, 1753, 12123, 2798, 267, 649, 2709, 513, 5318, 2039, 540, 1164, 2298, 543, 1164, 2773, 3167, 1286, 12123, 2798, 693, 8013, 5777, 269, 1284, 849, 2709, 12601, 12123, 15791, 267, 12601, 682, 2084, 543, 3039, 1648, 269, 0, 2304, 17697, 9186, 568, 606, 17499, 10182, 267, 3661, 267, 14882, 267, 610, 8305, 9189, 827, 606, 1367, 610, 1895, 540, 1004, 689, 513, 1514, 1895, 799, 666, 2047, 1860, 938, 2623, 610, 1620, 540, 602, 1895, 563, 3412, 14032, 12886, 666, 2097, 538, 1082, 3029, 269, 2913, 781, 1491, 14227, 4567, 607, 606, 1383, 269, 634, 3661, 602, 1164, 14227, 4567, 1053, 616, 4397, 547, 798, 1134, 593, 13387, 4152, 6466, 1866, 616, 2219, 547, 798, 14605, 1813, 547, 3668, 540, 2200, 568, 606, 17697, 9186, 256, 901, 3661, 666, 17225, 8404, 2157, 543, 666, 2014, 1053, 689, 1970, 14227, 4567, 3885, 547, 1745, 856, 540, 1747, 538, 1153, 607, 789, 12314, 2933, 607, 1373, 834, 12294, 257, 538, 2486, 269, 901, 568, 1946, 621, 568, 1271, 547, 5431, 2212, 593, 950, 596, 616, 1818, 606, 17697, 9186, 543, 2253, 547, 8396, 873, 563, 1692, 1411, 2052, 6435, 454, 2414, 581, 2111, 547, 8396, 707, 17697, 12886, 267, 596, 1590, 1101, 1451, 1018, 789, 616, 269, 901, 17697, 9186, 1449, 786, 948, 596, 4137, 856, 1018, 17697, 12886, 602, 596, 723, 2336, 10743, 267, 581, 1930, 543, 7874, 547, 3025, 1472, 596, 950, 4466, 856, 741, 5198, 267, 14227, 4567, 267, 3092, 269, 2142, 16561, 950, 1565, 1141, 789, 1796, 538, 741, 4978, 543, 7375, 269, 29621, 568, 1883, 256, 0, 290, 26059, 5357, 2975, 8863, 7838, 6224, 645, 9128, 16800, 5990, 681, 9128, 3036, 7246, 3582, 454, 2419, 3420, 729, 519, 1034, 3532, 9872, 538, 2342, 454, 4415, 1379, 936, 1272, 593, 3618, 543, 519, 1310, 5158, 454, 2419, 3420, 10294, 4171, 4332, 729, 16048, 267, 4171, 7365, 729, 1876, 995, 267, 4171, 786, 338, 941, 4570, 454, 27745, 834, 1410, 10919, 6510, 257, 630, 1410, 2850, 689, 5939, 264, 23597, 945, 4769, 1405, 3858, 609, 519, 23464, 454, 7775, 5279, 1875, 935, 14127, 23597, 609, 646, 637, 344, 19439, 762, 676, 2669, 563, 4629, 10933, 5442, 5990, 476, 1428, 8025, 595, 563, 14503, 648, 1338, 17379, 1310, 2669, 540, 22784, 333, 15605, 519, 13804, 881, 550, 538, 476, 14983, 273, 543, 4473, 540, 14205, 517, 541, 7637, 563, 305, 10718, 1185, 17146, 547, 7507, 454, 303, 2100, 25840, 4083, 7722, 538, 2679, 3785, 454, 5611, 277, 910, 853, 269, 22642, 29092, 3821, 630, 289, 14725, 21304, 14024, 2966, 26434, 267, 18466, 32109, 13556, 590, 25434, 30989, 994, 303, 2100, 24955, 2473, 630, 337, 269, 476, 14681, 274, 268, 13923, 272, 264, 13991, 547, 5418, 9778, 630, 2692, 541, 6968, 338, 267, 15976, 3092, 8094, 2414, 2628, 585, 2679, 3785, 267, 15976, 267, 12743, 3753, 3092, 269, 519, 7826, 5939, 3459, 547, 6133, 18656, 326, 1878, 454, 5715, 592, 326, 1878, 815, 3892, 540, 7957, 832, 689, 519, 834, 307, 516, 21204, 540, 8585, 1080, 257, 4534, 513, 4558, 5264, 540, 21045, 1434, 1568, 6394, 689, 25598, 538, 13140, 269, 16429, 2996, 945, 11751, 18656, 326, 1878, 1131, 581, 8483, 1508, 543, 1131, 6108, 1447, 942, 630, 528, 1100, 942, 264, 538, 1625, 326, 2218, 630, 5408, 2630, 994, 763, 29401, 2003, 541, 267, 20435, 570, 28856, 601, 267, 28020, 4421, 1473, 592, 326, 1878, 609, 12300, 795, 24943, 563, 1805, 566, 1063, 3618, 543, 13140, 1141, 4168, 781, 693, 821, 610, 834, 20580, 613, 257, 741, 21359, 563, 15430, 5703, 2168, 3788, 540, 513, 23920, 610, 9006, 23306, 1268, 563, 2750, 281, 623, 19991, 540, 4906, 781, 3444, 267, 7633, 610, 7802, 540, 25598, 267, 11849, 689, 519, 8781, 17382, 3092, 563, 9824, 923, 16668, 8436, 547, 13039, 547, 1745, 6251, 547, 2696, 538, 519, 4527, 540, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 365, 13161, 511, 19764, 478, 13213, 508, 26406, 354, 8147, 21251, 25263, 504, 13601, 25203, 368, 418, 490, 480, 419, 507, 478, 8147, 419, 511, 487, 23523, 483, 31284, 13601, 418, 361, 350, 692, 18411, 11907, 476, 536, 262, 294, 4953, 1315, 325, 822, 6625, 269, 4815, 26824, 270, 272, 269, 272, 315, 337, 14826, 454, 295, 739, 281, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 3519, 3825, 281, 1832, 17038, 633, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 281, 834, 11386, 24904, 21968, 341, 6889, 8660, 2580, 834, 2419, 668, 1756, 21968, 341, 6889, 8660, 2580, 834, 282, 8253, 589, 15952, 21968, 341, 6889, 4200, 257, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 2173, 9394, 281, 7790, 271, 315, 337, 14826, 454, 27165, 5025, 7217, 281, 20787, 8759, 270, 276, 269, 271, 630, 20360, 3298, 24857, 476, 1015, 269, 271, 282, 12736, 5038, 282, 1535, 5038, 264, 11197, 16158, 298, 527, 270, 276, 4391, 269, 3607, 630, 298, 12487, 7876, 267, 899, 2983, 1188, 334, 264, 24904, 270, 8660, 269, 271, 269, 275, 4343, 280, 269, 14625, 6380, 926, 270, 276, 4391, 269, 3607, 315, 337, 14826, 454, 10907, 1061, 281, 3239, 270, 822, 604, 267, 13548, 270, 19986, 335, 267, 13548, 270, 777, 978, 267, 13548, 4882, 341, 326, 21147, 6447, 267, 13548, 270, 24682, 265, 270, 265, 282, 336, 284, 271, 269, 279, 315, 337, 14826, 454, 20376, 6363, 21255, 4149, 924, 281, 1482, 268, 10594, 514, 315, 337, 14826, 454, 20376, 6363, 21255, 5336, 1712, 281, 1100, 2275, 832, 315, 337, 14826, 454, 20376, 6363, 21255, 5937, 652, 281, 3239, 315, 337, 14826, 454, 8269, 19907, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 270, 315, 337, 14826, 454, 10907, 1061, 268, 21886, 5317, 281, 575, 32502, 267, 1219, 17218, 267, 1490, 315, 337, 14826, 454, 10907, 1061, 6441, 4833, 281, 1990, 327, 4211, 301, 267, 30795, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 315, 337, 14826, 28847, 294, 4953, 13644, 371, 418, 365, 480, 418, 366, 350, 20069, 13644, 371, 418, 365, 480, 12916, 497, 8147, 9463, 359, 20069, 17269, 4306, 20069, 13644, 371, 418, 365, 480, 12916, 497, 454, 13644, 371, 418, 365, 480, 421, 355, 500, 27310, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 14035, 368, 315, 337, 14826, 315, 337, 14826, 454, 13644, 371, 418, 365, 480, 12916, 497, 454, 315, 337, 14826, 315, 337, 14826, 18263, 489, 12571, 492, 19867, 491, 15159, 13644, 371, 418, 365, 480, 12916, 497, 692, 294, 4953, 13644, 371, 418, 365, 480, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 25263, 504, 418, 498, 378, 21928, 7838, 299, 18263, 489, 12571, 492, 8147, 12916, 510, 5405, 509, 26166, 31176, 366, 7838, 299, 25520, 25263, 510, 27447, 12255, 29004, 362, 8147, 9463, 480, 12255, 18263, 489, 25426, 368, 23284, 261, 25203, 372, 13213, 508, 8147, 417, 28187, 31171, 1504, 286, 4067, 284, 11687, 272, 261, 573, 284, 11277, 27174, 563, 17269, 4306, 25913, 25622, 15159, 418, 488, 488, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 418, 498, 378, 21928, 12487, 9143, 25060, 483, 7511, 13644, 371, 418, 365, 480, 12916, 497, 18809, 25707, 294, 4953, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 27962, 16533, 493, 20069, 30522, 494, 10254, 370, 27818, 18713, 510, 20992, 418, 369, 493, 25335, 486, 417, 503, 357, 28098, 7838, 299, 7511, 421, 499, 379, 18021, 355, 20069, 30522, 494, 10254, 370, 24724, 8147, 26033, 490, 17269, 4306, 25913, 25622, 418, 493, 494, 11590, 353, 7511, 12255, 29004, 362, 418, 366, 350, 20069, 30522, 494, 10254, 370, 25707, 294, 4953, 4970, 492, 17269, 4306, 13644, 371, 418, 365, 480, 21928, 10951, 491, 20693, 350, 419, 360, 363, 420, 492, 371, 9463, 500, 13644, 371, 418, 365, 480, 12255, 29004, 362, 25913, 19764, 493, 21251, 12571, 490, 12486, 692, 7838, 299, 16088, 18713, 505, 421, 481, 357, 26166, 454, 22287, 493, 18777, 362, 16088, 2260, 7709, 16088, 419, 360, 363, 9463, 352, 263, 3199, 8358, 420, 371, 363, 23523, 482, 5405, 509, 320, 284, 272, 261, 321, 284, 273, 692, 11907, 476, 536, 262, 17269, 4306, 1315, 26824, 270, 272, 269, 272, 315, 337, 14826, 454, 295, 739, 281, 476, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 3519, 3825, 281, 1832, 17038, 633, 315, 337, 14826, 454, 32098, 6441, 2654, 281, 476, 4510, 315, 337, 14826, 454, 290, 5995, 4211, 2632, 1503, 281, 3193, 21943, 284, 271, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 281, 834, 11386, 24904, 21968, 341, 6889, 8660, 2580, 834, 2419, 668, 1756, 21968, 341, 6889, 8660, 2580, 834, 282, 8253, 589, 15952, 21968, 341, 6889, 4200, 257, 315, 337, 14826, 454, 5913, 7302, 268, 7699, 2173, 9394, 281, 7790, 271, 315, 337, 14826, 454, 10000, 14079, 24493, 31261, 7304, 3225, 3949, 281, 476, 272, 315, 337, 14826, 454, 27670, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 315, 337, 14826, 454, 32098, 6874, 4286, 281, 3498, 24474, 268, 4178, 27322, 268, 584, 6352, 322, 10757, 315, 337, 14826, 454, 27165, 5025, 7217, 281, 20787, 8759, 270, 276, 269, 271, 630, 20360, 3298, 24857, 476, 1015, 269, 271, 282, 12736, 5038, 282, 1535, 5038, 264, 11197, 16158, 298, 527, 270, 276, 4391, 269, 3607, 630, 298, 12487, 7876, 267, 899, 2983, 1188, 334, 264, 24904, 270, 8660, 269, 271, 269, 275, 4343, 280, 269, 14625, 6380, 926, 270, 276, 4391, 269, 3607, 315, 337, 14826, 454, 10907, 1061, 281, 1257, 270, 6255, 6447, 267, 1952, 997, 566, 24474, 6255, 6447, 21147, 6447, 267, 1952, 997, 566, 24474, 6447, 282, 336, 284, 271, 269, 280, 267, 13548, 270, 822, 604, 267, 13548, 270, 19986, 335, 267, 13548, 270, 777, 978, 267, 265, 270, 265, 282, 336, 284, 271, 269, 279, 267, 1952, 997, 566, 4882, 11220, 7721, 4219, 282, 341, 284, 321, 274, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 454, 20376, 6363, 21255, 4149, 924, 281, 1482, 268, 10594, 514, 315, 337, 14826, 454, 20376, 6363, 21255, 5336, 1712, 281, 6330, 315, 337, 14826, 454, 20376, 6363, 21255, 268, 27165, 281, 7790, 272, 315, 337, 14826, 454, 20376, 6363, 21255, 5937, 652, 281, 3561, 315, 337, 14826, 454, 8269, 19907, 281, 5291, 2517, 14096, 269, 271, 269, 271, 269, 272, 281, 279, 3199, 271, 270, 315, 337, 14826, 454, 10907, 1061, 268, 21886, 5317, 281, 575, 32502, 267, 1219, 17218, 267, 1490, 315, 337, 14826, 454, 10907, 1061, 6441, 4833, 281, 1990, 327, 4211, 301, 267, 30795, 282, 336, 284, 271, 269, 280, 315, 337, 14826, 315, 337, 14826, 454, 12528, 284, 260, 292, 278, 260, 11463, 260, 288, 279, 260, 292, 277, 260, 6434, 260, 289, 278, 260, 292, 276, 260, 3445, 260, 279, 291, 261, 335, 23424, 284, 332, 9874, 11277, 28847, 18257, 0, 258, 13127, 372, 481, 16533, 498, 29219, 27818, 321, 944, 24724, 454, 258, 13127, 372, 481, 16533, 498, 29219, 4970, 375, 28884, 17958, 23521, 354, 417, 479, 504, 20881, 375, 20001, 495, 10254, 353, 13161, 511, 454, 258, 13127, 372, 481, 16533, 498, 29219, 13601, 10429, 365, 20069, 4970, 353, 14748, 6936, 13127, 23687, 8771, 454, 258, 6936, 23989, 419, 353, 374, 419, 506, 509, 8771, 23989, 419, 353, 374, 417, 479, 485, 454, 320, 815, 6936, 454, 320, 815, 8771, 454, 2745, 3488, 320, 815, 3299, 320, 264, 258, 513, 815, 8771, 692, 258, 13127, 372, 481, 16533, 498, 29219, 14395, 508, 30522, 483, 31968, 18263, 509, 31271, 508, 30678, 10533, 368, 417, 508, 489, 8147, 12148, 16533, 365, 25203, 372, 25051, 497, 30678, 272, 8147, 16178, 16533, 365, 25203, 372, 25051, 497, 30678, 271, 454, 2745, 263, 272, 1341, 6936, 264, 258, 476, 273, 692, 258, 7183, 27818, 419, 358, 374, 29219, 24724, 454, 258, 7183, 4970, 497, 25426, 357, 17958, 23521, 354, 23989, 419, 353, 374, 21251, 11858, 502, 21928, 454, 321, 815, 7183, 454, 2745, 6357, 264, 0, 26611, 23591, 24800, 270, 7090, 274, 692, 5814, 19523, 692, 3698, 1397, 4671, 872, 10857, 1618, 584, 2187, 825, 688, 1393, 584, 4671, 1258, 322, 25507, 10857, 1618, 584, 270, 276, 11924, 272, 454, 825, 952, 630, 26171, 584, 260, 273, 2652, 476, 271, 2187, 1038, 1804, 584, 284, 26171, 584, 266, 272, 454, 825, 952, 1804, 584, 10922, 476, 274, 912, 1038, 959, 517, 322, 6889, 343, 4840, 825, 3116, 912, 1038, 959, 517, 322, 6889, 16282, 343, 4840, 825, 3529, 284, 3269, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 26171, 584, 266, 272, 267, 273, 2187, 1038, 3529, 284, 29728, 1341, 263, 328, 265, 257, 343, 20257, 22487, 10857, 1618, 584, 994, 1038, 3529, 284, 29728, 266, 257, 315, 333, 4840, 825, 585, 1775, 538, 2039, 263, 3873, 1393, 584, 4671, 1258, 322, 2187, 1038, 952, 630, 328, 283, 3873, 1393, 584, 4671, 1258, 322, 268, 272, 2187, 2018, 3529, 284, 29728, 23444, 339, 1258, 322, 1040, 22487, 10857, 1618, 584, 994, 2018, 3529, 284, 29728, 266, 257, 315, 333, 4840, 1038, 3116, 912, 2018, 3529, 284, 29728, 23444, 339, 1258, 322, 1040, 22487, 10857, 1618, 584, 994, 825, 2132, 3529, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1820, 263, 19651, 4671, 872, 17301, 4433, 903, 27769, 341, 314, 272, 316, 30727, 0, 3698, 1293, 29999, 27182, 267, 669, 2187, 825, 1293, 815, 476, 271, 454, 825, 585, 4484, 538, 2262, 912, 1038, 952, 4484, 2652, 669, 912, 2018, 1293, 815, 1293, 1341, 476, 272, 454, 825, 2132, 1293, 7531, 5320, 18425, 815, 6151, 17750, 2891, 11767, 519, 2262, 281, 19515, 577, 18425, 815, 6151, 17750, 2891, 11767, 519, 1915, 596, 1616, 547, 1293, 281, 19515, 12248, 15220, 815, 1293, 29999, 27182, 18425, 267, 669, 18425, 994, 2745, 1293, 15220, 454, 0, 5228, 570, 330, 5793, 1104, 2608, 1477, 5814, 570, 330, 5793, 6230, 20687, 7901, 1477, 5814, 4351, 5897, 10174, 815, 570, 330, 3890, 1948, 30720, 3601, 5897, 3698, 6885, 28399, 453, 10174, 269, 613, 5852, 2891, 6110, 343, 4968, 14744, 453, 10174, 26644, 2891, 17806, 3828, 626, 14744, 453, 10174, 269, 20813, 2682, 263, 3724, 3033, 6889, 18872, 14744, 453, 10174, 269, 637, 14184, 263, 271, 267, 271, 3418, 16557, 815, 2715, 272, 281, 271, 348, 1477, 3698, 3014, 318, 1478, 28399, 453, 12803, 815, 1930, 2891, 16557, 318, 13440, 867, 17902, 14824, 337, 14744, 453, 320, 815, 834, 29177, 22610, 1775, 538, 3758, 6769, 453, 453, 320, 815, 1193, 9217, 3418, 453, 453, 321, 815, 703, 9217, 3418, 453, 16557, 314, 272, 316, 815, 536, 1477, 453, 1477, 453, 1477, 453, 1477, 453, 18134, 815, 31108, 20172, 267, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 1789, 12050, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 29228, 3683, 256, 2580, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 4877, 871, 14052, 453, 332, 20687, 318, 272, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 736, 3339, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 7312, 6060, 568, 2580, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 272, 4877, 871, 14052, 453, 332, 20687, 318, 273, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 3374, 12050, 2580, 535, 326, 6889, 19009, 2580, 1257, 30381, 267, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 273, 4877, 871, 14052, 453, 332, 20687, 318, 274, 815, 22443, 6600, 9347, 267, 13944, 6889, 6635, 658, 476, 1428, 3339, 2580, 535, 326, 6889, 19009, 2580, 1257, 6889, 11767, 707, 2012, 281, 14307, 536, 326, 6889, 18872, 14744, 453, 332, 20687, 318, 274, 4877, 871, 6600, 650, 284, 311, 3418, 453, 18134, 4877, 871, 31476, 3698, 4688, 28399, 453, 8117, 6958, 9347, 815, 31108, 20172, 267, 536, 326, 6889, 18872, 14744, 453, 338, 1511, 815, 29502, 6357, 583, 6958, 9347, 267, 1257, 6889, 338, 1511, 2580, 536, 323, 284, 279, 267, 536, 326, 6889, 18872, 2580, 325, 326, 6889, 19009, 2580, 13944, 6889, 6635, 658, 476, 1015, 3339, 2580, 4971, 284, 338, 1511, 318, 15263, 3418, 453, 338, 1511, 26769, 14808, 263, 12296, 284, 1015, 267, 4463, 284, 273, 3418, 453, 338, 1511, 4877, 871, 263 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 1114, 4081, 2157, 723, 1114, 1382, 18747, 269, 1703, 616, 1382, 11556, 4574, 585, 18544, 267, 1382, 11556, 4574, 585, 1164, 1153, 267, 2852, 1382, 18747, 543, 6280, 1382, 11556, 4574, 269, 1411, 666, 4444, 1382, 11556, 1957, 689, 2688, 1603, 3028, 1934, 538, 2013, 596, 513, 1265, 513, 1434, 2601, 585, 602, 269, 1703, 616, 1082, 4128, 596, 1131, 1616, 547, 4444, 1382, 11556, 1957, 563, 17843, 3506, 2285, 1788, 10467, 547, 741, 1053, 547, 2328, 269, 26880, 267, 1977, 267, 543, 519, 3703, 946, 519, 2262, 968, 2889, 915, 892, 547, 3277, 547, 1957, 3785, 10467, 602, 616, 2016, 547, 873, 676, 16929, 269, 18768, 616, 1175, 5921, 547, 581, 3476, 543, 811, 1950, 4574, 602, 2241, 3594, 269, 3509, 1053, 786, 1931, 3785, 2228, 689, 2688, 1557, 3135, 2094, 6280, 3785, 543, 2852, 3785, 616, 9157, 4574, 269, 1677, 4444, 513, 1957, 1788, 2228, 267, 596, 798, 621, 899, 596, 1131, 4444, 606, 1557, 563, 2467, 616, 1896, 2010, 540, 1603, 3785, 602, 596, 666, 2628, 513, 5856, 547, 798, 585, 596, 269, 634, 1034, 1455, 616, 1870, 1788, 4574, 267, 4702, 1788, 1603, 267, 6530, 3785, 267, 7350, 1788, 4574, 267, 1686, 1788, 1957, 267, 15257, 1788, 4574, 267, 6280, 1788, 267, 2852, 1788, 267, 543, 1256, 1164, 1153, 1788, 269, 2368, 1788, 1603, 949, 4125, 1239, 2079, 610, 1957, 8039, 269, 10705, 267, 1788, 949, 991, 547, 581, 12649, 1354, 789, 616, 7608, 676, 6280, 8470, 1310, 6881, 269, 1411, 666, 4444, 513, 1788, 1934, 543, 10505, 707, 2907, 2944, 1788, 585, 6169, 15105, 543, 824, 15494, 267, 2523, 952, 596, 616, 606, 3486, 2875, 269, 4107, 3486, 1053, 786, 1904, 547, 1931, 513, 1788, 2228, 1317, 621, 568, 4443, 547, 2628, 513, 5856, 547, 798, 707, 1788, 593, 519, 4950, 982, 2348, 547, 2328, 621, 3054, 543, 23590, 621, 1082, 2053, 563, 25324, 24070, 4633, 568, 835, 540, 519, 1034, 2854, 4574, 2228, 269, 7896, 9513, 10388, 4633, 1603, 723, 5830, 7463, 593, 519, 1641, 269, 4841, 9090, 4444, 10388, 18531, 2228, 1360, 1419, 269, 589, 10388, 4633, 568, 2356, 1759, 593, 513, 11786, 1641, 269, 4475, 267, 596, 666, 1152, 2628, 513, 5856, 2228, 547, 798, 513, 10388, 4633, 593, 606, 3390, 602, 786, 6318, 930, 7521, 269, 3509, 5396, 1775, 891, 11786, 2053, 616, 6098, 676, 10388, 18531, 269, 2368, 540, 519, 1888, 1331, 281, 29480, 18531, 593, 14447, 7365, 610, 10388, 18531, 1482, 3023, 22888, 267, 10388, 4633, 593, 3854, 10751, 610, 10388, 4633, 593, 519, 2669, 15163, 267, 10388, 4633, 593, 7784, 9562, 610, 7784, 1852, 267, 10388, 4633, 593, 2916, 1689, 610, 2825, 5533, 10388, 4633, 269, 1703, 568, 606, 11995, 1592, 540, 3134, 1227, 11786, 3584, 585, 799, 596, 666, 4444, 513, 10388, 4633, 1957, 269, 29480, 4633, 593, 11980, 267, 6138, 10388, 4633, 267, 10269, 946, 10388, 4633, 267, 2112, 593, 9810, 10388, 4633, 267, 946, 540, 17089, 10388, 4633, 610, 3656, 1944, 17089, 10388, 4633, 267, 10388, 4633, 593, 16377, 552, 30984, 10388, 4633, 267, 543, 1896, 824, 11786, 3584, 616, 930, 540, 519, 5230, 12035, 563, 25324, 24070, 18531, 723, 513, 1279, 1686, 267, 4098, 609, 14163, 582, 27318, 17748, 540, 30373, 269, 901, 568, 1141, 519, 1523, 540, 31672, 267, 27291, 267, 543, 2619, 657, 568, 1031, 538, 1603, 602, 568, 1634, 607, 17127, 779, 20116, 269, 4107, 540, 10388, 18531, 1118, 946, 540, 17127, 779, 20116, 1256, 1510, 519, 5856, 6616, 269, 4634, 1034, 1053, 2628, 2228, 585, 948, 609, 513, 10388, 4633, 540, 713, 1826, 269, 26189, 832, 1419, 2307, 585, 971, 4574, 267, 543, 18867, 267, 1053, 1931, 10388, 4633, 4574, 1210, 741, 14357, 779, 4633, 1557, 5528, 269, 1411, 666, 2705, 4444, 513, 10388, 4633, 1957, 540, 1022, 1826, 563, 10743, 616, 1419, 4280, 547, 2328, 1870, 5359, 538, 741, 9757, 3506, 269, 6355, 2090, 5359, 2154, 602, 519, 2875, 27786, 513, 1483, 1870, 543, 11339, 1524, 519, 2143, 2470, 540, 519, 1870, 538, 519, 1867, 269, 5502, 540, 1603, 513, 1957, 1034, 1053, 786, 2628, 693, 513, 2688, 1603, 3028, 547, 723, 519, 5359, 2944, 676, 3318, 5830, 269, 18766, 689, 1603, 5359, 267, 5561, 945, 4444, 1870, 5359, 693, 2688, 1603, 3028, 723, 519, 12257, 540, 8391, 513, 1867, 602, 2882, 2079, 540, 519, 1870, 3510, 540, 519, 1808, 2754, 538, 2243, 269, 2368, 1870, 5359, 786, 991, 547, 723, 513, 17335, 5588, 2079, 2944, 1247, 1866, 786, 2154, 7059, 6060, 3556, 1867, 269, 2353, 891, 3877, 2154, 513, 5856, 4810, 538, 1603, 2688, 1870, 5359, 563, 288, 1870, 2090, 1867, 568, 7429, 513, 10750, 1557, 269, 1879, 596, 4444, 513, 1870, 1867, 267, 596, 2503, 519, 2688, 5856, 547, 8495, 519, 1641, 540, 519, 1867, 8499, 269, 6969, 519, 4417, 540, 519, 1357, 267, 713, 1131, 2154, 519, 2688, 5856, 547, 3643, 519, 1808, 1870, 22402, 543, 2911, 547, 606, 9441, 547, 3489, 1239, 543, 606, 1202, 3187, 6644, 547, 948, 2328, 519, 1870, 1867, 269, 1717, 267, 2221, 267, 4687, 540, 1344, 814, 1831, 1454, 4443, 543, 513, 6075, 666, 4444, 513, 1870, 1867, 2228, 543, 519, 5856, 666, 1569, 1344, 593, 519, 4950, 269, 901, 1259, 267, 513, 5856, 568, 2111, 547, 948, 609, 519, 1870, 2090, 1867, 1603, 1510, 2348, 547, 3346, 2359, 693, 519, 2754, 269, 1280, 1383, 267, 952, 513, 6075, 17188, 519, 2228, 5856, 547, 798, 513, 1870, 1867, 593, 9786, 267, 621, 1131, 581, 590, 529, 2988, 515, 534, 4305, 547, 2119, 547, 1205, 606, 5967, 609, 519, 16628, 610, 1256, 9291, 27176, 269, 898, 568, 1454, 4443, 547, 1382, 2228, 543, 581, 2111, 547, 948, 519, 2875, 2328, 1870, 1867, 269, 589, 6325, 2688, 1603, 3028, 814, 1382, 2200, 547, 948, 798, 1867, 4574, 563, 19185, 547, 2628, 606, 2228, 5856, 547, 798, 707, 2376, 2689, 1957, 286, 2353, 2186, 540, 2376, 8039, 616, 2944, 593, 2688, 1603, 2533, 2228, 269, 2296, 2376, 8039, 267, 2257, 2376, 8039, 267, 6323, 2376, 8039, 6530, 2376, 8039, 543, 1256, 7350, 2376, 8039, 666, 782, 581, 2854, 676, 513, 6325, 2228, 3028, 952, 596, 4444, 873, 269, 1677, 4444, 606, 2376, 2689, 1957, 267, 513, 2875, 2115, 547, 723, 519, 2376, 3294, 585, 519, 5856, 547, 1569, 269, 4475, 267, 950, 9140, 519, 2376, 2689, 1557, 267, 621, 568, 929, 644, 550, 547, 4647, 519, 1957, 543, 8936, 621, 547, 519, 1957, 1931, 593, 519, 4950, 269, 634, 13613, 666, 581, 2944, 693, 519, 1808, 16048, 2688, 1603, 3028, 610, 513, 6325, 2228, 4859, 269, 634, 4859, 585, 519, 2376, 547, 581, 12649, 666, 581, 593, 8835, 610, 538, 519, 1153, 5399, 269, 769, 1776, 2665, 267, 513, 6075, 666, 4444, 543, 2376, 2689, 1557, 543, 2995, 519, 5856, 547, 1413, 585, 519, 2376, 593, 519, 4950, 952, 519, 2376, 547, 581, 12649, 538, 1930, 2228, 563, 16240, 606, 1557, 568, 711, 2653, 269, 901, 568, 2523, 865, 952, 519, 1557, 547, 581, 2854, 568, 547, 581, 1031, 585, 4081, 5301, 269, 13298, 982, 2328, 606, 1557, 267, 621, 568, 811, 10375, 547, 4444, 519, 1557, 693, 513, 10464, 3902, 689, 2228, 1603, 3028, 269, 901, 1557, 9513, 3896, 666, 581, 1022, 540, 519, 1082, 593, 519, 4950, 269, 1717, 267, 513, 2875, 814, 547, 1265, 513, 3135, 602, 23619, 3594, 693, 513, 14949, 3902, 269, 23225, 1004, 786, 1449, 1518, 547, 15962, 17511, 856, 1153, 3594, 269, 9717, 513, 4960, 267, 1034, 1053, 786, 2628, 513, 5856, 547, 798, 741, 1957, 2228, 269, 11153, 7687, 1118, 1053, 8572, 547, 4444, 1557, 2228, 563, 5278, 4574, 12349, 2228, 616, 12215, 540, 824, 2875, 779, 4574, 267, 3006, 1004, 538, 519, 1482, 1362, 269, 2368, 1603, 4609, 616, 711, 9237, 543, 4782, 547, 1118, 2656, 2724, 676, 4758, 1053, 4574, 689, 2376, 6538, 269, 11408, 4444, 1557, 689, 4609, 602, 2328, 707, 1957, 2687, 547, 707, 5528, 543, 1310, 596, 723, 10288, 707, 1957, 269, 634, 824, 20159, 568, 2724, 269, 6732, 2688, 3594, 666, 581, 10464, 610, 7199, 547, 4444, 269, 898, 568, 1152, 10257, 547, 4444, 1557, 689, 1603, 2533, 602, 2709, 1164, 2298, 3594, 585, 513, 4023, 10464, 3902, 267, 855, 711, 2731, 1932, 10464, 269, 1975, 2056, 513, 2370, 2724, 547, 4444, 606, 14849, 1557, 666, 4688, 513, 2875, 513, 2603, 540, 5855, 543, 7118, 873, 513, 1434, 3446, 269, 9796, 547, 723, 606, 1557, 2854, 543, 596, 786, 28231, 519, 2640, 540, 519, 3606, 942, 2813, 543, 519, 2533, 540, 606, 4274, 5856, 563, 291, 2632, 6633, 856, 1603, 18646, 727, 4574, 543, 10467, 269, 16179, 513, 1382, 1957, 689, 1934, 543, 3207, 25678, 11489, 14182, 563, 2252, 596, 1616, 547, 4444, 513, 1382, 1957, 267, 1934, 568, 1018, 596, 1058, 917, 827, 9140, 1022, 1957, 540, 713, 1826, 2228, 269, 3194, 4574, 616, 1018, 741, 2012, 5267, 269, 1677, 4444, 513, 1382, 1957, 596, 723, 547, 798, 621, 593, 513, 3135, 1141, 5830, 798, 1483, 1382, 269, 11370, 3539, 513, 840, 25740, 1382, 1957, 666, 581, 29070, 1317, 596, 786, 723, 2047, 1500, 946, 540, 1570, 602, 1522, 581, 16175, 10268, 593, 519, 4950, 269, 898, 568, 4061, 1898, 602, 596, 4444, 707, 1378, 1382, 1957, 269, 4841, 4444, 1382, 1957, 1317, 621, 568, 942, 10438, 543, 1419, 4831, 335, 8793, 547, 2328, 707, 1378, 1382, 1957, 950, 972, 616, 1082, 824, 1919, 547, 798, 269, 5675, 1382, 4574, 568, 513, 3454, 532, 26035, 543, 1053, 1265, 2933, 12008, 936, 741, 2835, 1603, 1382, 4574, 1247, 972, 616, 4609, 596, 666, 4444, 513, 1382, 1957, 2228, 1510, 1022, 2042, 269, 1411, 1058, 711, 12483, 3257, 971, 960, 1317, 596, 666, 723, 3054, 693, 519, 1283, 522, 519, 1362, 1454, 3362, 269, 3807, 4444, 513, 1382, 1957, 689, 1934, 563, 288, 2875, 666, 946, 3732, 1557, 585, 513, 3099, 540, 5301, 269, 589, 3732, 1557, 666, 581, 11643, 547, 519, 14357, 952, 519, 1053, 616, 4280, 547, 2285, 513, 3732, 540, 1018, 789, 1131, 2328, 269, 769, 713, 2013, 267, 519, 2875, 1131, 991, 547, 4444, 519, 3732, 1557, 865, 602, 621, 568, 17096, 1863, 269, 589, 3732, 1557, 666, 849, 581, 11751, 585, 519, 3483, 540, 6476, 865, 602, 519, 2875, 11339, 606, 1557, 602, 814, 519, 1482, 2497, 543, 2093, 1510, 2731, 12735, 3511, 1944, 519, 3312, 3732, 1557, 269, 1703, 616, 4648, 945, 786, 849, 4444, 3732, 1557, 585, 519, 3483, 540, 1382, 610, 1702, 269, 6270, 5439, 723, 547, 581, 2854, 676, 4966, 693, 513, 3318, 1377, 267, 2161, 12854, 610, 27587, 1377, 269, 589, 3732, 4487, 779, 1557, 1058, 1397, 782, 3344, 540, 1382, 543, 22464, 269, 1411, 1058, 4061, 4444, 3318, 1377, 3732, 3594, 952, 789, 616, 547, 581, 1031, 585, 1382, 269, 15706, 666, 849, 4444, 513, 3732, 1557, 607, 513, 1259, 540, 4152, 513, 1007, 2688, 1603, 3028, 269, 1403, 519, 3732, 1557, 568, 1434, 267, 1287, 621, 568, 10257, 547, 3136, 9140, 4574, 689, 602, 1603, 3135, 563, 2467, 616, 1896, 13946, 1846, 585, 1004, 945, 1616, 547, 4444, 2165, 4574, 2228, 269, 17616, 267, 972, 616, 1896, 2010, 540, 10467, 602, 513, 2875, 945, 6499, 547, 4444, 513, 1957, 666, 6718, 936, 519, 4950, 269, 6969, 519, 4417, 540, 17096, 10992, 3301, 585, 9236, 513, 11643, 1957, 1996, 4950, 1543, 267, 972, 941, 1603, 2533, 5356, 840, 25740, 2165, 4574, 547, 1053, 269, 1323, 1367, 1223, 4444, 513, 2165, 1957, 689, 891, 2228, 2533, 543, 10505, 621, 952, 621, 3514, 519, 4170, 540, 519, 1576, 269, 1717, 267, 1004, 945, 4444, 513, 2165, 1957, 689, 891, 1603, 2533, 5781, 917, 602, 519, 840, 25740, 4574, 10355, 2743, 1576, 4170, 269, 898, 568, 811, 19624, 547, 1413, 585, 513, 2688, 1603, 3028, 1141, 596, 666, 6718, 513, 2165, 1957, 602, 568, 1813, 538, 513, 1906, 3108, 269, 6270, 2165, 4574, 616, 2854, 593, 942, 543, 9447, 1310, 1373, 13761, 585, 17096, 269, 1411, 616, 1287, 2111, 547, 10505, 971, 513, 1957, 998, 2490, 527, 514, 269, 4475, 267, 952, 707, 14357, 6499, 596, 547, 946, 2490, 527, 514, 267, 519, 1655, 4781, 568, 547, 4444, 513, 2165, 1957, 689, 6325, 2688, 1603, 3028, 563, 291, 1170, 31277, 616, 3318, 1377, 4574, 602, 1022, 25719, 610, 12854, 2875, 1058, 2503, 547, 2328, 538, 1354, 12032, 540, 519, 1576, 269, 2368, 1647, 1377, 12621, 949, 723, 1053, 798, 4744, 31277, 267, 855, 593, 513, 4130, 4336, 269, 1280, 1383, 267, 513, 12854, 2875, 949, 798, 606, 476, 3199 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3667, 815, 1592, 9272, 14061, 20889, 15405, 24987, 815, 834, 27029, 323, 551, 815, 31460, 3698, 2079, 12169, 712, 8217, 267, 707, 18380, 2187, 825, 585, 1775, 538, 707, 8217, 912, 1038, 952, 1775, 538, 707, 18380, 912, 2018, 707, 18380, 5157, 316, 6834, 476, 272, 454, 1038, 3116, 912, 2018, 707, 18380, 5157, 316, 815, 476, 272, 692, 534, 4519, 29495, 28504, 551, 994, 10946, 318, 4486, 815, 3193, 5560, 551, 267, 1883, 284, 323, 551, 10947, 994, 2745, 32384, 318, 4486, 269, 21639, 15405, 0, 258, 24105, 2230, 585, 3965, 538, 519, 4871, 454, 3147, 17342, 2639, 4472, 17342, 2639, 258, 1721, 1843, 4871, 454, 5035, 4871, 912, 825, 1948, 2958, 3563, 1599, 585, 519, 6075, 2272, 454, 825, 1219, 11578, 4311, 2187, 1038, 2518, 533, 454, 1038, 1101, 11243, 815, 3403, 2891, 11767, 707, 3689, 8745, 2433, 5602, 1038, 2063, 11243, 815, 3403, 2891, 11767, 707, 7831, 2012, 2433, 5602, 1038, 533, 815, 6075, 6600, 1009, 11243, 267, 18431, 11243, 994, 1038, 533, 6983, 2396, 518, 11243, 4590, 258, 1721, 8629, 6075, 454, 5035, 6075, 10031, 825, 1948, 13440, 1758, 1125, 519, 6075, 609, 1101, 2012, 543, 2063, 2012, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 14140, 11243, 267, 18431, 11243, 2187, 1038, 1582, 8807, 1009, 11243, 815, 1101, 11243, 454, 1038, 1582, 16096, 11243, 815, 2063, 11243, 454, 1038, 1948, 1721, 519, 10805, 6075, 781, 2272, 609, 2012, 454, 825, 1219, 6075, 11243, 4311, 2187, 1038, 2518, 934, 454, 1038, 2518, 2545, 454, 1038, 2545, 6910, 263, 271, 994, 1038, 934, 6910, 4311, 8807, 1009, 11243, 266, 834, 834, 266, 1345, 16096, 11243, 994, 1038, 1820, 28361, 333, 2659, 2272, 1967, 14673, 569, 3742, 14826, 5073, 1038, 1948, 24119, 21627, 1599, 454, 825, 1219, 16005, 4311, 2187, 1038, 4283, 3147, 25507, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27328, 1038, 4283, 24119, 25507, 9272, 2891, 8649, 870, 540, 2724, 2433, 27363, 1038, 2545, 314, 10938, 3147, 316, 6834, 4283, 24119, 454, 1038, 585, 1535, 538, 2039, 12759, 263, 3147, 15892, 2018, 1820, 19629, 333, 3600, 870, 7089, 2433, 14307, 1535, 2073, 27719, 333, 6075, 281, 257, 2073, 934, 20572, 3910, 27719, 333, 18696, 2433, 681, 335, 1701, 2073, 2545, 20572, 3910, 27719, 333, 15419, 825, 1219, 11198, 4311, 2187, 1038, 2518, 2545, 454, 1038, 4283, 3147, 284, 703, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27363, 1038, 4283, 26920, 815, 703, 9272, 2891, 8649, 870, 540, 2724, 2433, 27363, 1038, 2545, 314, 10938, 3147, 316, 20699, 4283, 26920, 454, 1038, 585, 1535, 538, 2039, 630, 6352, 263, 3147, 15892, 2018, 1820, 9497, 315, 333, 10055, 7089, 2433, 2580, 1535, 2073, 1412, 315, 333, 6075, 281, 3299, 934, 20572, 3910, 27719, 333, 18696, 2433, 681, 335, 1701, 267, 2545, 20572, 3910, 27719, 333, 15419, 825, 1219, 2638, 25270, 4311, 2187, 1038, 2518, 934, 454, 1038, 2518, 2545, 454, 1038, 4283, 3147, 815, 703, 9272, 2891, 11767, 707, 2272, 1297, 2433, 27363, 1038, 1820, 19629, 333, 10055, 7089, 2433, 2580, 4283, 3147, 267, 27719, 333, 6075, 2433, 2580, 934, 314, 10938, 3147, 3910, 27719, 333, 3666, 2433, 681, 335, 1701, 267, 2545, 314, 10938, 3147, 3910, 27719, 333, 5602, 258, 1721, 782, 519, 12981, 538, 519, 11083, 300, 454, 12252, 815, 476, 272, 454, 6112, 4971, 256, 284, 271, 10778, 825, 1820, 2891, 8702, 1677, 5020, 14826, 5602, 825, 1820, 2891, 15675, 513, 11834, 14826, 5602, 825, 1820, 2891, 271, 269, 304, 3726, 5602, 825, 1820, 2891, 272, 269, 8802, 3563, 5602, 825, 1820, 2891, 273, 16638, 4146, 5602, 825, 1820, 2891, 274, 6185, 788, 21627, 5602, 825, 1820, 2891, 275, 269, 4415, 9526, 5602, 825, 1820, 2891, 276, 11065, 531, 766, 6176, 14826, 5602, 825, 4971, 25507, 9272, 2891, 15675, 519, 11834, 2433, 27363, 825, 1948, 15578, 25265, 3198, 9169, 5442, 5990, 11083, 300, 631, 21815, 12114, 9215, 667, 4488, 22432, 4888, 312, 13138, 23177, 3722, 3582, 454, 825, 952, 4971, 2652, 272, 10778, 1038, 536, 815, 4871, 4590, 1038, 536, 269, 2958, 3563, 4590, 825, 8640, 4971, 2652, 273, 912, 1038, 585, 1535, 538, 2039, 630, 6352, 263, 3147, 15892, 2018, 1820, 9497, 315, 333, 10055, 7089, 24333, 343, 2437, 315, 333, 6075, 24333, 343, 2437, 315, 333, 3666, 2433, 681, 335, 1701, 267, 2545, 20572, 316, 2437, 315, 333, 5602, 825, 8640, 4971, 2525, 274, 912, 1038, 533, 6155, 788, 21627, 4590, 825, 8640, 4971, 2652, 275, 10778, 1038, 533, 269, 5976, 9526, 4590, 825, 8640, 4971, 2525, 276, 912, 1038, 533, 269, 13765, 25270, 4590, 825, 8640, 4971, 2525, 271, 912, 1038, 1820, 9497, 8450, 1411, 8921, 5384, 5602, 825, 3116, 10778, 1038, 1820, 9497, 8333, 663, 32148, 15419, 0, 1029, 10461, 1029, 815, 1412, 338, 784, 13885, 836, 28847, 258, 9502, 585, 513, 476, 9352, 3529, 6843, 454, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 912, 825, 1948, 7711, 12407, 3597, 267, 513, 3529, 6843, 454, 825, 1948, 7711, 12407, 2040, 267, 606, 8870, 454, 825, 1948, 7711, 8873, 513, 1630, 18978, 454, 825, 1219, 9041, 2181, 24576, 4311, 267, 3597, 2187, 1038, 1780, 7531, 825, 1219, 814, 26073, 11764, 4311, 267, 3597, 267, 2040, 2187, 1038, 1582, 11519, 8999, 815, 3597, 22183, 454, 1038, 952, 3597, 16000, 912, 2018, 1582, 11519, 8999, 6834, 9041, 2181, 24576, 20172, 16000, 994, 1038, 8640, 3597, 16192, 912, 2018, 1582, 11519, 8999, 6834, 9041, 2181, 24576, 20172, 16192, 2020, 692, 0, 258, 3503, 606, 3498, 547, 1265, 1297, 540, 1624, 675, 2325, 540, 1142, 20262, 538, 513, 2016, 5569, 692, 5320, 815, 3403, 3488, 11767, 1022, 5569, 281, 1412, 2020, 341, 578, 1564, 815, 27835, 320, 3299, 1412, 324, 3299, 1412, 328, 3299, 1412, 334, 3299, 1412, 340, 262, 10926, 323, 815, 2715, 10926, 1721, 669, 538, 2262, 912, 825, 952, 669, 538, 24008, 912, 1038, 546, 314, 577, 316, 815, 546, 10947, 263, 577, 267, 476, 271, 264, 1341, 476, 272, 692, 1721, 737, 267, 642, 538, 15044, 5560, 29096, 3890, 2187, 825, 1820, 2891, 24001, 1624, 3293, 15079, 2053, 2668, 8971, 17347, 267, 642, 4917, 0, 258, 744, 17162, 26914, 291, 2177, 3201, 291, 281, 3503, 513, 1599, 602, 3854, 3278, 519, 1101, 543, 8772, 5022, 540, 513, 2012, 7531, 3698, 2025, 8548, 659, 323, 10735, 19304, 17107, 825, 20105, 6958, 1009, 15461, 318, 628, 2273, 815, 1193, 11468, 274, 4940, 5115, 1388, 1125, 4590, 825, 20105, 6958, 712, 628, 15461, 318, 6135, 815, 1193, 314, 274, 281, 4940, 5115, 1388, 1125, 10797, 825, 31194, 6958, 1009, 318, 663, 6958, 712, 628, 815, 20105, 6958, 1009, 15461, 318, 628, 2273, 1341, 20105, 6958, 712, 628, 15461, 318, 6135, 692, 825, 2132, 31194, 6958, 1009, 318, 663, 6958, 712, 628, 7531, 14310, 815, 2025, 8548, 659, 323, 10735, 3488, 332, 659, 323, 10735, 17210, 2745, 31114, 994, 0, 338, 815, 3403, 2891, 11767, 4845, 281, 834, 2020, 4289, 5334, 815, 521, 21858, 10797, 516, 2091, 8217, 815, 29129, 1721, 2262, 538, 1592, 5334, 912, 825, 9258, 8217, 6910, 27182, 11468, 18737, 272, 20285, 16059, 815, 1412, 29717, 21860, 263, 516, 2091, 8217, 2020, 2745, 263, 16059, 994, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 258, 7711, 12041, 281, 966, 308, 1323, 327, 570, 10224, 454, 258, 7711, 14630, 281, 567, 476, 1001, 279, 268, 1015, 268, 1556, 476, 2537, 281, 6187, 281, 1015, 454, 258, 7711, 8310, 3525, 1881, 676, 281, 567, 966, 308, 1323, 327, 570, 10224, 454, 258, 7711, 8310, 3525, 1881, 942, 281, 476, 1001, 279, 268, 1015, 268, 1321, 476, 1015, 281, 4366, 281, 5379, 454, 258, 7711, 27270, 281, 4179, 2517, 23637, 1478, 6503, 2593, 270, 638, 5465, 270, 28766, 28590, 271, 270, 3667, 3491, 28698, 1532, 541, 2987, 7308, 8410, 18030, 692, 5228, 942, 1104, 3207, 692, 3698, 1820, 318, 2889, 28698, 318, 8663, 263, 28375, 267, 2698, 267, 18772, 815, 1412, 3682, 28698, 281, 3299, 21879, 815, 1412, 4467, 921, 1540, 3299, 17447, 815, 476, 273, 267, 3259, 815, 476, 2004, 267, 6445, 815, 1412, 16123, 486, 262, 2187, 825, 2600, 815, 9497, 346, 271, 281, 1701, 1341, 1193, 263, 20657, 7769, 264, 1341, 834, 325, 348, 20257, 8971, 263, 1911, 265, 28375, 14121, 4973, 994, 825, 4904, 28747, 815, 703, 10857, 2654, 265, 28375, 2260, 20135, 994, 825, 3046, 815, 6445, 265, 325, 2683, 28747, 1341, 25023, 16732, 26319, 23752, 28747, 994, 825, 1820, 28361, 337, 260, 338, 1923, 260, 338, 347, 4939, 338, 260, 260, 630, 260, 323, 270, 260, 323, 264, 262, 4939, 630, 2181, 25785, 267, 3046, 267, 2600, 267, 21767, 267, 2698, 1070, 1439, 815, 1412, 315, 337, 5073, 825, 952, 21767, 2652, 2698, 912, 1038, 1820, 28361, 337, 260, 338, 1923, 260, 338, 347, 4939, 338, 260, 260, 630, 260, 323, 270, 260, 323, 264, 4939, 338, 262, 4939, 630, 2181, 25785, 267, 3046, 267, 2600, 267, 21767, 267, 2698, 267, 21879, 1070, 1439, 815, 1412, 315, 337, 5073, 1038, 1820, 30800, 3698, 1292, 10031, 825, 3688, 815, 1592, 263, 9792, 263, 271, 267, 476, 5611, 4917, 825, 561, 815, 7003, 263, 19477, 2020, 825, 1820, 318, 2889, 28698, 318, 8663, 263, 271, 267, 561, 264, 1948, 3355, 1125, 454, 825, 585, 1775, 267, 6221, 538, 26246, 263, 19477, 2187, 1038, 3207, 263, 271, 269, 272, 264, 1948, 798, 8631, 454, 1038, 1820, 318, 2889, 28698, 318, 8663, 9217, 1341, 476, 272, 267, 561, 264, 1948, 9337, 3356, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890, 0, 258, 815, 25275, 2525, 454, 258, 7689, 476, 273, 454, 258, 14581, 269, 17130, 476, 275, 454, 258, 815, 25275, 2525, 692, 328, 23919, 815, 3403, 2891, 29551, 8563, 29391, 4138, 16021, 10780, 16417, 9686, 6459, 5284, 370, 23845, 3264, 281, 19515, 604, 7003, 9217, 23919, 264, 2652, 476, 271, 912, 825, 1775, 23919, 815, 834, 396, 506, 4709, 22147, 5284, 379, 3378, 26580, 10948, 21170, 13150, 9841, 16068, 10528, 16417, 9686, 3264, 31124, 20046, 17095, 22147, 17221, 28821, 8563, 21162, 13953, 18194, 25986, 4736, 3378, 20265, 4709, 4736, 21660, 10780, 19757, 4736, 5284, 371, 20265, 16021, 23783, 4709, 21134, 27188, 4814, 13833, 4709, 3264, 5016, 2745, 6600, 262, 396, 508, 16648, 13077, 16648, 19277, 9924, 27593, 27671, 3378, 3264, 10780, 16417, 9686, 6459, 5284, 370, 23845, 3264, 281, 834, 346, 328, 23919, 348, 257, 5073, 2745, 3488, 396, 510, 3264, 13194, 7846, 23783, 4344, 19277, 16068, 16648, 13077, 16648, 30324, 24012, 281, 5073, 339, 5404, 318, 2993, 815, 1775, 23919, 21858, 3488, 30386, 1721, 7329, 343, 267, 1605, 332, 538, 26246, 6025, 5404, 318, 2993, 267, 476, 272, 2187, 825, 1820, 6600, 257, 346, 30915, 348, 2715, 324, 12661, 952, 7003, 16216, 12661, 264, 10922, 1015, 3116, 1605, 332, 11468, 1015, 316, 348, 5602, 0, 258, 815, 25275, 2525, 454, 258, 7689, 476, 272, 454, 258, 14581, 454, 258, 17130, 476, 273, 454, 258, 815, 25275, 2525, 692, 328, 22710, 815, 703, 9272, 2891, 29551, 8563, 29391, 4138, 16021, 17095, 17201, 4138, 10948, 3264, 13150, 8563, 3378, 11012, 3264, 7549, 7846, 4709, 9686, 630, 20500, 3264, 6459, 3378, 3264, 24893, 25986, 6459, 3378, 264, 27328, 2745, 2891, 29551, 9924, 11714, 8563, 3264, 20434, 2580, 1775, 22710, 2020, 5632, 322, 5334, 815, 1775, 22710, 4939, 476, 2568, 454, 328, 22710, 815, 1775, 22710, 12262, 476, 2568, 11434, 1948, 1631, 621, 568, 3764, 692, 5632, 322, 8548, 815, 1775, 22710, 4939, 476, 2568, 454, 5632, 322, 20189, 815, 1775, 22710, 12262, 476, 2568, 692, 2745, 6600, 257, 396, 501, 20265, 13953, 16021, 267, 24893, 26580, 11714, 16044, 482, 18775, 9261, 3522, 16021, 554, 327, 281, 7825, 281, 1087, 16044, 491, 26580, 11714, 9924, 15671, 31124, 9686, 4138, 4344, 17095, 3522, 7549, 2715, 5632, 322, 20189, 281, 271, 285, 273, 323, 348, 281, 346, 5632, 322, 8548, 281, 271, 285, 273, 323, 348, 281, 346, 5632, 322, 5334, 281, 271, 285, 273, 323, 348, 5602, 0, 258, 14581, 281, 476, 7689, 476, 275, 269, 17130, 476, 274, 692, 12163, 396, 498, 31124, 476, 24893, 25986, 3264, 6459, 476, 11714, 476, 10780, 16417, 9686, 3264, 20977, 17153, 476, 16068, 4344, 476, 476, 736, 476, 18194, 3378, 476, 476, 13301, 476, 21660, 13953, 28821, 476, 24893, 25986, 20977, 267, 476, 17095, 13077, 4344, 21162, 3264, 476, 736, 15800, 20434, 476, 2641, 269, 2843, 507, 3264, 29652, 17153, 19757 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1657, 267, 2519, 593, 19766, 21585, 1315, 23155, 14409, 1315, 32655, 15350, 15339, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 2221, 781, 3992, 1141, 649, 786, 2263, 519, 1523, 540, 934, 738, 4851, 256, 6452, 738, 4851, 4016, 547, 519, 1184, 540, 15268, 547, 513, 1007, 2528, 1247, 1869, 4509, 835, 781, 1378, 2686, 3961, 269, 5994, 3001, 547, 513, 1007, 2197, 910, 875, 1131, 596, 4188, 547, 741, 9821, 267, 5389, 267, 543, 1259, 540, 1272, 286, 2334, 568, 1018, 934, 738, 4851, 568, 782, 827, 2439, 4131, 781, 1491, 519, 1383, 540, 12756, 945, 5063, 6410, 689, 6792, 547, 519, 2136, 2276, 609, 1200, 1920, 269, 2311, 1101, 267, 1352, 1336, 621, 2182, 547, 3514, 538, 1317, 1004, 12038, 2296, 267, 799, 729, 1114, 689, 5053, 267, 1200, 5065, 1893, 269, 2701, 849, 8068, 602, 4892, 17696, 1114, 5686, 540, 1426, 267, 19557, 547, 1114, 2575, 267, 543, 1185, 1114, 1514, 8155, 982, 5165, 15092, 1705, 269, 1717, 267, 936, 942, 267, 12756, 3459, 547, 1451, 2296, 267, 2119, 1007, 3536, 899, 554, 27304, 619, 543, 3905, 5243, 267, 6432, 547, 1402, 2575, 267, 543, 1174, 1977, 9821, 971, 607, 24373, 3946, 3079, 540, 21098, 532, 1750, 4060, 950, 28551, 2576, 269, 4634, 1498, 1352, 9862, 547, 891, 2242, 267, 12756, 4769, 1405, 7340, 1200, 11204, 6561, 282, 1352, 4797, 6340, 5053, 693, 1753, 267, 14120, 11204, 14812, 267, 543, 5986, 2757, 11204, 8286, 269, 901, 568, 606, 5140, 1383, 540, 3811, 934, 738, 4851, 2439, 3086, 1577, 781, 2911, 827, 1945, 1572, 834, 516, 5554, 542, 2437, 799, 4249, 513, 1713, 1909, 538, 1082, 1004, 781, 2729, 1282, 519, 934, 738, 4851, 1184, 269, 15215, 1419, 2488, 4313, 267, 5583, 267, 543, 513, 2631, 540, 2146, 585, 2043, 269, 1879, 12756, 8452, 538, 519, 772, 2529, 1421, 1352, 3323, 11504, 513, 2199, 7826, 5939, 2094, 1352, 8057, 909, 8026, 30871, 538, 6792, 269, 1635, 11173, 547, 2259, 1200, 5132, 267, 12756, 5433, 811, 6899, 543, 1447, 14221, 827, 1373, 538, 513, 1007, 1747, 269, 4935, 267, 4984, 6039, 607, 513, 8115, 8220, 1200, 2025, 2528, 547, 1200, 1007, 1604, 267, 4543, 1200, 1745, 5150, 543, 16135, 2429, 519, 934, 738, 4851, 3460, 780, 4913, 267, 3006, 1004, 3068, 2591, 1282, 519, 934, 738, 4851, 1184, 1813, 547, 3604, 1063, 741, 3312, 2528, 543, 519, 1007, 835, 789, 7237, 269, 1280, 3236, 267, 930, 3344, 540, 741, 5065, 2528, 949, 32692, 609, 1346, 540, 519, 3984, 2486, 269, 898, 781, 1898, 547, 5431, 543, 2463, 1312, 4529, 262, 2418, 543, 4978, 1247, 3843, 547, 1265, 1455, 8017, 543, 3666, 269, 5664, 1153, 1053, 1522, 1995, 2147, 3871, 952, 789, 1847, 547, 513, 1007, 4884, 610, 1533, 1369, 519, 1482, 2197, 269, 1358, 991, 547, 3082, 547, 1585, 2188, 899, 13172, 267, 7802, 6163, 267, 16837, 2238, 267, 543, 3872, 1949, 269, 8528, 1103, 3932, 267, 934, 738, 4851, 568, 606, 5571, 1184, 5473, 9542, 543, 1689, 1247, 8497, 835, 781, 2189, 2686, 3961, 269, 16871, 4763, 543, 1620, 1866, 262, 5380, 2636, 721, 547, 1628, 6793, 4296, 2066, 4529, 269, 1924, 3314, 267, 2436, 596, 2811, 5870, 2576, 689, 1776, 2749, 610, 2197, 267, 2307, 2055, 267, 1397, 1719, 267, 543, 8661, 1142, 824, 781, 22464, 269, 2991, 782, 267, 3884, 1405, 621, 4241, 547, 3605, 875, 10562, 2943, 3982, 649, 782, 616, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2414, 4688, 1543, 3688, 547, 707, 2272, 2676, 921, 848, 6166, 602, 596, 3858, 547, 705, 728, 676, 938, 6165, 4507, 563, 2252, 713, 568, 519, 1101, 942, 596, 946, 713, 4183, 267, 596, 786, 581, 4280, 547, 2278, 1047, 11062, 11759, 547, 1921, 609, 707, 2272, 563, 8340, 856, 811, 827, 9494, 1543, 547, 4586, 2414, 4688, 1543, 3688, 547, 707, 28632, 267, 1101, 2327, 4757, 11333, 2593, 454, 529, 3773, 547, 707, 10088, 1386, 9608, 11657, 661, 17733, 5903, 896, 707, 9608, 11657, 23994, 454, 517, 519, 28509, 2659, 12474, 543, 20905, 2985, 540, 707, 8835, 2272, 269, 3973, 4283, 519, 2048, 4067, 685, 851, 454, 1993, 707, 28632, 4757, 2232, 2630, 563, 8340, 856, 811, 827, 9494, 547, 707, 28632, 563, 9616, 596, 666, 2824, 547, 4688, 547, 2901, 519, 7711, 16451, 269, 11779, 548, 2593, 610, 7711, 11779, 548, 2593, 7648, 563, 8072, 287, 16451, 269, 11779, 548, 2593, 685, 15737, 616, 1863, 855, 666, 1152, 581, 10710, 547, 707, 3926, 950, 621, 568, 4448, 547, 530, 328, 30235, 563, 8072, 287, 11779, 548, 2593, 685, 15737, 666, 581, 9447, 1256, 950, 596, 616, 711, 4448, 547, 530, 328, 30235, 267, 855, 4063, 602, 3028, 12375, 4019, 563, 2467, 616, 1100, 598, 5477, 4681, 827, 519, 2009, 8825, 1909, 540, 4984, 593, 1053, 685, 803, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 16914, 738, 4851, 257, 607, 851, 540, 834, 24719, 13316, 1315, 8836, 1299, 23532, 5525, 1315, 1977, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7647, 2880, 1143, 267, 607, 513, 10952, 3350, 267, 7153, 538, 519, 10120, 1974, 543, 13856, 7214, 11407, 2394, 519, 12625, 540, 519, 21654, 269, 901, 1935, 6322, 693, 11028, 4290, 532, 5132, 543, 2601, 998, 11826, 9266, 2079, 543, 7521, 269, 769, 713, 2796, 267, 1577, 721, 2263, 875, 4416, 2880, 6138, 8032, 519, 1646, 540, 2413, 2257, 676, 6313, 519, 1272, 543, 1568, 540, 7338, 14109, 520, 630, 14321, 276, 268, 14378, 274, 1070, 606, 2296, 16159, 543, 23464, 2006, 1634, 585, 1010, 7681, 609, 519, 2038, 9576, 5980, 780, 2414, 2253, 609, 267, 621, 781, 1898, 547, 1174, 519, 3140, 4282, 540, 4416, 2880, 1143, 269, 634, 2165, 1412, 338, 3273, 2880, 262, 24865, 689, 519, 5824, 2262, 4416, 320, 267, 2495, 1412, 25217, 9538, 898, 4016, 547, 519, 2409, 6964, 676, 5640, 538, 3864, 9945, 1063, 519, 27630, 543, 6957, 18818, 5553, 269, 1452, 2553, 15091, 7954, 267, 13172, 545, 7744, 267, 543, 3181, 908, 1983, 1765, 339, 8962, 602, 1131, 1831, 16832, 585, 17024, 899, 14109, 520, 780, 24171, 14109, 520, 729, 4535, 883, 18803, 20297, 267, 6659, 676, 3237, 4171, 1514, 7555, 1705, 2370, 547, 2303, 1010, 2104, 23146, 1369, 4081, 10580, 269, 3571, 4651, 267, 7338, 14109, 520, 29447, 1421, 6039, 607, 513, 16434, 25110, 1225, 622, 1247, 8066, 5232, 689, 10228, 269, 6736, 891, 9583, 8723, 8129, 267, 1762, 14109, 520, 17956, 16075, 547, 654, 611, 5069, 5441, 267, 10228, 267, 538, 5437, 476, 13679, 272, 269, 1703, 267, 646, 8678, 606, 17615, 2146, 7722, 538, 14262, 1382, 267, 5555, 4742, 519, 2926, 613, 540, 3627, 12070, 9469, 267, 513, 3056, 4137, 538, 27867, 10601, 2067, 6138, 780, 310, 559, 9469, 262, 3310, 9863, 11358, 538, 5935, 14109, 520, 781, 23381, 543, 4876, 18330, 269, 7201, 1010, 30023, 267, 14109, 520, 12842, 1883, 3741, 2404, 609, 4416, 2880, 1143, 267, 1519, 519, 2956, 540, 9836, 14374, 267, 2565, 3206, 267, 543, 4661, 566, 269, 5015, 267, 12070, 9469, 1128, 2683, 538, 14109, 520, 513, 7096, 2463, 585, 12170, 8343, 543, 17634, 1765, 1084, 1115, 602, 1131, 20690, 519, 5250, 540, 519, 9576, 5980, 513, 1906, 1296, 2663, 780, 1103, 476, 14917, 271, 267, 519, 9241, 5750, 1229, 9576, 5980, 11221, 14109, 520, 607, 922, 1101, 2351, 328, 19212, 267, 25461, 609, 5312, 1782, 519, 3919, 781, 2238, 543, 21108, 922, 5692, 1996, 1033, 847, 832, 269, 769, 3210, 267, 14109, 520, 3370, 834, 763, 3778, 540, 519, 9576, 4149, 1539, 1214, 540, 5507, 267, 1280, 519, 25947, 540, 7849, 11310, 2437, 799, 19286, 730, 519, 2486, 781, 7029, 547, 5807, 10319, 7634, 543, 2963, 2861, 6602, 269, 10801, 519, 960, 267, 14109, 520, 13084, 16845, 519, 1871, 540, 23913, 1565, 936, 2915, 15122, 15984, 547, 3964, 8128, 12544, 18879, 24188, 540, 4416, 2880, 9840, 3823, 519, 2215, 2329, 540, 13414, 8957, 1480, 2601, 780, 4913, 267, 14109, 520, 849, 6444, 519, 7687, 540, 6986, 7787, 640, 950, 13197, 1702, 827, 519, 2067, 1158, 269, 4935, 267, 646, 23647, 585, 513, 7059, 1935, 602, 5916, 1312, 2601, 543, 1995, 269, 1635, 3257, 865, 267, 14109, 520, 3927, 10816, 3022, 519, 7934, 1063, 4416, 2880, 5389, 543, 6932, 3621, 26336, 267, 11744, 602, 5132, 991, 711, 581, 25710, 16375, 547, 3356, 780, 29012, 267, 4207, 5717, 4478, 4984, 543, 2257, 3136, 547, 20920, 609, 2147, 2055, 15054, 676, 2038, 4416, 10415, 269, 6333, 267, 585, 1383, 267, 5571, 9840, 7282, 10995, 1374, 5288, 269, 12105, 3069, 610, 519, 1909, 540, 7881, 538, 5841, 4987, 1382, 269, 5637, 21384, 2154, 27410, 13253, 1063, 3661, 1949, 543, 12170, 4681, 267, 16079, 532, 4145, 3844, 547, 4416, 2880, 27964, 780, 11101, 267, 4974, 5515, 971, 607, 14109, 520, 3091, 3407, 4030, 883, 519, 1950, 16799, 1063, 2686, 4229, 543, 26381, 1670, 10850, 269, 1306, 7152, 676, 1010, 7418, 547, 519, 9576, 5980, 267, 14109, 520, 30833, 875, 1367, 2833, 666, 3337, 6626, 7214, 5322, 267, 20515, 519, 6422, 2470, 540, 2093, 2429, 1686, 780, 1103, 3932, 267, 3695, 519, 1272, 543, 1568, 540, 7338, 14109, 520, 2488, 15417, 2666, 585, 2502, 609, 4295, 28975, 540, 4416, 2880, 6138, 543, 16439, 741, 1764, 593, 7766, 7835, 538, 519, 9443, 269, 3414, 6297, 6514, 540, 1010, 12591, 543, 7506, 267, 1053, 2744, 2629, 5380, 593, 11972, 2055, 17640, 547, 5132, 267, 2601, 267, 543, 519, 13287, 540, 1702, 1765, 1170, 1132, 607, 4143, 2221, 607, 789, 941, 2185, 5553, 3516, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 263, 321, 269, 2142, 3133, 3122, 267, 667, 832, 564, 267, 4789, 267, 476, 14321, 276, 281, 546, 269, 645, 668, 2917, 269, 13573, 267, 4789, 267, 476, 736, 2904, 476, 14378, 274, 994, 20931, 540, 2257, 563, 306, 1440, 520, 729, 835, 540, 1896, 1453, 4535, 547, 7338, 14109, 520, 267, 513, 4057, 25110, 1225, 622, 945, 4371, 645, 6993, 269, 543, 631, 6993, 269, 5232, 689, 10228, 267, 543, 1010, 7385, 267, 945, 729, 519, 8250, 540, 513, 6004, 269, 853, 549, 1372, 540, 3474, 333, 5069, 267, 667, 832, 564, 269, 3245, 713, 968, 984, 2675, 675, 4332, 543, 2069, 538, 513, 2484, 11397, 2197, 2223, 607, 646, 2663, 4330, 621, 267, 646, 9411, 654, 611, 5069, 5441, 267, 10228, 267, 538, 5437, 476, 13679, 272, 267, 8391, 519, 645, 6993, 269, 538, 4873, 476, 13679, 275, 543, 606, 631, 6993, 269, 1614, 1296, 2663, 269, 2311, 654, 611, 5069, 267, 14109, 520, 2968, 513, 4759, 540, 519, 3742, 543, 4166, 9565, 5858, 602, 9250, 1864, 593, 1010, 9670, 543, 9867, 4876, 607, 519, 14787, 543, 1219, 2658, 540, 519, 9576, 5980, 543, 607, 513, 812, 540, 519, 5939, 269, 1261, 2968, 519, 5172, 543, 1486, 2946, 326, 2946, 540, 3627, 12070, 9469, 543, 4646, 2673, 12205, 609, 824, 2818, 540, 519, 3621, 1895, 602, 10356, 1472, 12070, 9469, 1282, 1346, 1296, 267, 2523, 609, 18332, 654, 1066, 267, 590, 996, 24156, 267, 543, 25453, 24872, 32231, 269, 4014, 14109, 520, 949, 7654, 723, 13984, 741, 5870, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 3273, 2880, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 19744, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 316, 952, 7003, 263, 935, 557, 343, 20189, 1638, 264, 3436, 476, 274, 3116, 23756, 20189, 1638, 9239, 3698, 1292, 10031, 825, 2798, 815, 1496, 454, 1038, 630, 271, 267, 476, 274, 13211, 1038, 630, 273, 267, 476, 273, 13211, 1038, 630, 272, 267, 476, 272, 13211, 1038, 630, 273, 267, 476, 272, 13211, 1038, 630, 274, 267, 476, 271, 13211, 1038, 630, 271, 267, 476, 271, 13211, 1038, 630, 274, 267, 476, 274, 13211, 1038, 630, 273, 267, 910, 272, 13211, 1038, 630, 273, 267, 910, 275, 13211, 1038, 630, 272, 267, 910, 274, 13211, 825, 476, 6540, 825, 1948, 519, 23756, 1305, 540, 2798, 568, 454, 825, 1948, 27883, 271, 267, 476, 271, 1070, 630, 271, 267, 476, 274, 1070, 630, 272, 267, 910, 274, 1070, 630, 273, 267, 910, 275, 1070, 630, 274, 267, 476, 271, 1070, 630, 274, 267, 476, 274, 22708, 825, 2164, 318, 8578, 815, 23756, 20189, 1638, 318, 8578, 263, 9557, 2020, 825, 2164, 23631, 15479, 633, 815, 23756, 20189, 1638, 23631, 15479, 633, 263, 9557, 994, 825, 7682, 2164, 318, 8578, 2652, 2164, 23631, 15479, 633, 692, 825, 2164, 8548, 601, 330, 2006, 815, 23756, 20189, 1638, 8548, 601, 330, 2006, 263, 9557, 994, 825, 7682, 2164, 318, 8578, 2652, 2164, 8548, 601, 330, 2006, 692, 825, 1820, 263, 29798, 318, 8578, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 3890, 0, 454, 258, 13798, 1168, 1513, 4305, 272, 910, 1412, 294, 14993, 7749, 704, 910, 5681, 332, 566, 262, 268, 9941, 306, 2925, 279, 910, 7689, 279, 692, 258, 272, 269, 273, 25754, 4082, 692, 3698, 14805, 566, 28840, 2187, 14851, 1297, 3436, 476, 271, 912, 453, 16596, 2040, 17338, 6600, 559, 614, 10857, 10033, 1535, 281, 1535, 21147, 267, 1496, 328, 585, 1775, 538, 2039, 630, 272, 267, 1297, 266, 272, 13580, 21875, 28432, 912, 453, 453, 10139, 454, 4848, 454, 15893, 815, 703, 9272, 18011, 11767, 513, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 28840, 264, 9239, 258, 272, 269, 273, 4786, 454, 3698, 14805, 566, 16325, 17107, 16596, 2040, 630, 4289, 630, 4786, 630, 842, 267, 2039, 263, 272, 267, 1003, 266, 272, 264, 3738, 3738, 25589, 11133, 815, 703, 9272, 18011, 11767, 930, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 16325, 11723, 258, 272, 269, 274, 4783, 585, 692, 3698, 14805, 566, 16325, 2187, 28768, 453, 321, 17342, 2639, 22610, 1775, 538, 2039, 263, 271, 267, 1003, 266, 272, 2187, 567, 453, 453, 321, 284, 321, 266, 314, 328, 316, 1948, 21660, 10528, 13833, 4709, 12811, 4709, 9326, 11012, 10528, 25986, 7549, 7846, 31128, 6459, 27671, 12811, 25000, 9261, 4138, 30935, 28027, 17221, 9261, 4138, 11714, 16044, 484, 4138, 7549, 6459, 20686, 692, 16596, 2040, 6357, 2020, 11133, 815, 703, 9272, 18011, 11767, 930, 1297, 281, 1412, 4917, 2745, 630, 8999, 332, 566, 16325, 264, 9239, 0, 5814, 19523, 454, 5814, 942, 692, 258, 5035, 1740, 273, 476, 2767, 269, 5400, 910, 9941, 306, 2925, 258, 276, 910, 7689, 276, 692, 258, 476, 276, 269, 272, 8073, 519, 1592, 540, 9981, 267, 3313, 1412, 10946, 262, 543, 1412, 2381, 28847, 11133, 815, 3403, 18011, 13911, 930, 1297, 281, 30386, 842, 9078, 560, 815, 1496, 842, 3287, 264, 585, 1535, 538, 1193, 16325, 13580, 1948, 2870, 519, 1592, 540, 9981, 1210, 1412, 9448, 7055, 2745, 630, 842, 9078, 560, 264, 1948, 2870, 519, 1592, 692, 2745, 18011, 763, 5021, 1297, 538, 519, 1592, 568, 281, 22207, 3193, 17301, 9078, 560, 4917, 2745, 18011, 763, 5934, 1297, 538, 519, 1592, 568, 281, 22207, 1295, 17301, 9078, 560, 264, 9239, 258, 276, 269, 273, 769, 519, 2039, 689, 476, 272, 268, 1015, 3313, 1256, 2338, 267, 9642, 2338, 799, 17337, 547, 476, 274, 630, 777, 691, 910, 476, 272, 1070, 2338, 799, 711, 17337, 547, 476, 273, 610, 476, 274, 3097, 258, 2475, 5058, 1412, 9448, 28847, 3698, 1297, 16325, 17107, 453, 16838, 9078, 560, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 273, 2652, 476, 271, 23378, 453, 15957, 9078, 560, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 273, 2652, 476, 272, 23378, 453, 12061, 5091, 643, 815, 1496, 1193, 9217, 264, 585, 1775, 538, 2039, 630, 272, 267, 1003, 264, 952, 1775, 260, 274, 11203, 476, 271, 543, 1775, 260, 273, 11203, 476, 271, 476, 476, 6540, 453, 16838, 9078, 560, 27044, 630, 271, 267, 1412, 1607, 568, 519, 1592, 540, 859, 839, 281, 5073, 453, 15957, 9078, 560, 27044, 630, 271, 267, 29717, 901, 568, 519, 1592, 5212, 12918, 281, 5073, 453, 12061, 5091, 643, 27044, 630, 271, 267, 29717, 901, 568, 519, 1592, 540, 476, 273, 4501, 499, 274, 711, 16883, 281, 17210, 453, 20135, 815, 1256, 9078, 560, 1341, 9642, 9078, 560, 1341, 1875, 5091, 643, 454, 453, 20135, 273, 815, 1412, 29717, 21860, 6025, 4973, 2020, 16596, 2698, 273, 692, 11133, 815, 703, 9272, 18011, 8923, 1826, 519, 2063, 7857, 538, 707, 2039, 281, 1412, 4297, 1341, 476, 272, 1948, 938, 8545, 7857, 538, 519, 2039, 1058, 581, 476, 1556, 692, 2745, 630, 15893, 16325, 11723, 258, 276, 269, 274, 269, 272, 9577, 630, 32491, 602, 12523, 27353, 264, 8528, 3698, 3815, 3799, 2187, 453, 328, 815, 476, 272, 1948, 3651, 938, 4756, 1354, 2783, 267, 6382, 1412, 4462, 20129, 26222, 13286, 281, 2199, 4756, 1412, 328, 262, 26518, 1354, 7084, 7055, 453, 6112, 562, 3436, 476, 272, 912, 453, 453, 328, 815, 1775, 2608, 562, 454, 453, 453, 333, 815, 562, 910, 476, 272, 454, 16596, 1775, 692, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 262, 4297, 3097, 2745, 263, 26476, 3799, 11723, 258, 276, 269, 274, 269, 273, 4635, 1412, 1721, 262, 4783, 630, 32491, 602, 12523, 27353, 994, 258, 7078, 273, 692, 3698, 3815, 273, 3799, 2187, 453, 2399, 3645, 815, 476, 272, 454, 22610, 1775, 538, 2039, 630, 272, 267, 562, 266, 272, 2187, 453, 453, 2399, 3645, 815, 27353, 2608, 1775, 454, 453, 453, 258, 333, 815, 562, 910, 272, 454, 16596, 18011, 634, 27353, 540, 2715, 271, 348, 568, 2715, 272, 348, 8339, 8971, 3799, 267, 27353, 4297, 1948, 16044, 482, 18775, 9261, 19277, 7846, 27593, 4709, 4709, 9326, 11714, 4138, 8563, 29391, 12811, 22147, 3378, 476, 16021, 7549, 13150, 7846, 692, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 10807, 2020, 2745, 630, 26476, 273, 3799, 264, 25589, 258, 276, 269, 274, 269, 274, 9577, 630, 32491, 602, 12523, 27353, 994, 258, 7078, 274, 692, 258, 3698, 3815, 3799, 2187, 453, 258, 328, 815, 476, 272, 454, 453, 258, 6112, 562, 13843, 476, 271, 912, 453, 567, 1948, 328, 815, 562, 2608, 630, 562, 910, 476, 272, 12467, 453, 258, 8873, 1775, 692, 258, 333, 815, 703, 9272, 18011, 13911, 519, 27353, 1297, 772, 1616, 547, 1293, 281, 262, 4297, 3097, 28744, 263, 26476, 3799, 11723, 258, 11298, 2464, 301, 31415, 20796, 298, 692, 258, 276, 269, 275, 269, 272, 8298, 514, 18025, 817, 5320, 692, 3698, 533, 1873, 318, 4486, 263, 1186, 342, 17107, 453, 1186, 342, 8217, 815, 18358, 5575, 256, 262, 6540, 453, 321, 815, 476, 274, 454, 453, 6112, 536, 3436, 476, 271, 912, 453, 453, 321, 815, 536, 910, 476, 272, 454, 4848, 454, 453, 14851, 536, 2652, 476, 271, 281, 1948, 7758, 919, 547, 4542, 1948, 782, 1310, 713, 693, 974, 618, 786, 14892, 536, 2389, 1307, 2687, 547, 513, 4542, 454, 453, 825, 453, 453, 19874, 692, 453, 453, 258, 12327, 4488, 28513, 476, 19399, 19399, 10310, 5992, 692, 453, 14851, 533, 1873, 538, 533, 1873, 8217, 281, 1948, 12211, 547, 513, 1883, 454, 4848, 16596, 18011, 290, 3036, 3918, 6311, 269, 589, 6717, 8577, 16998, 19611, 3633, 5073, 4848, 453, 1410, 527, 10797, 453, 14851, 711, 533, 1873, 538, 533, 1873, 8217, 281, 1948, 12211, 547, 513, 1883, 454, 4848, 453, 1186, 342, 815, 3403, 18011, 3722, 290, 8577, 667, 2894, 296, 3633, 269, 11550, 4668, 292, 589, 26395, 312, 281, 30386, 15235, 454, 4848, 14851, 536, 2652, 476, 272, 543, 533, 1873, 11203, 1412, 5575, 256, 12466, 15235, 16596, 18011, 312, 21788, 8028, 4596, 7419, 307, 670, 3008, 18688, 2894, 19154, 8016, 298, 3633, 11123, 476, 1015, 32745, 7473, 2464, 5073, 4848, 14851, 536, 2652, 476, 272, 543, 533, 1873, 2652, 1412, 5575, 256, 12466, 15235, 16596, 18011, 295, 308, 295, 295, 295, 256, 269, 589, 6717, 8577, 16998, 19611, 3633, 17210, 1186, 342, 815, 3403, 18011, 24165, 4668, 292, 589, 26395, 312, 281, 1412, 264, 1948, 786, 14892, 536, 2389, 1307, 630, 274, 264, 607, 538, 519, 4783, 630, 10175, 1808, 2783, 950, 536, 2652, 476, 272, 2020, 2745, 263, 1186, 342, 318, 4486, 263, 1186, 342, 11723, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1412, 6112, 262, 4783, 7531, 258, 276, 269, 275, 269, 273, 8298, 514, 18025, 817, 5320, 454, 258, 7078, 273, 692, 10139, 5320, 815, 3403, 18011, 303, 4041, 17955, 13673, 9898, 589, 623, 3008, 14684, 16704, 281, 17210, 604, 10957, 2652, 1412, 27165, 11277, 12466, 13537, 3488, 28557, 269, 7457, 11292, 5073, 453, 1410, 527, 10797, 3698, 2638, 318, 1186, 342, 10031, 453, 5503, 4732, 2748, 263, 273, 994, 13537, 3488, 28557, 269, 7457, 11292, 17210, 339, 7434, 273, 815, 3403, 18011, 303, 4041, 17955, 10323, 22268, 589, 11550, 25807, 623, 3008, 14684, 16704, 281, 5073, 604, 4693, 273, 2652, 1412, 27165, 11277, 12466, 453, 13765, 318, 1186, 342, 3890, 1948, 476, 273, 526, 4693, 2638, 454, 604, 711, 4693, 273, 2652, 1412, 27165, 11277, 12466, 453, 339, 7434, 274, 815, 3403, 18011, 303, 4041, 17955, 10323, 22268, 589, 11550, 25807, 623, 3008, 14684, 16704, 281, 10807, 28768, 28768, 14851, 4693, 274, 2652, 1412, 27165, 11277, 12466, 453, 453, 13765, 318, 1186, 342, 3890, 1948, 476, 274, 6113, 4693, 2638, 692, 14851, 711, 4693, 274, 2652, 1412, 27165, 11277, 12466, 453, 453, 5503, 4732, 2748, 263, 273, 994, 453, 13537, 18011, 24168, 22743, 12717, 10691, 8863, 5308, 2894, 589, 2910, 305, 3918, 6311, 4888, 14684, 2207, 269, 623, 4041, 17955, 13138, 312, 589, 16598, 2562, 5442, 476, 1015, 32745, 7473, 2464, 5073, 453, 453, 10139, 692, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1247, 4783, 454, 2971, 772, 294, 14877, 966, 8991, 12778, 910, 12894, 268, 3918, 4041, 309, 19611, 23166, 1412, 303, 312, 8025, 2177, 19053, 2894, 262, 7531, 258, 276, 269, 275, 269, 274, 1948, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562, 910, 8298, 514, 18025, 817, 5320, 1210, 1247, 4783, 3097, 258, 7078, 274, 692, 3698, 521, 662, 333, 18425, 263, 1186, 342, 17107, 14851, 533, 1873, 2652, 1412, 27165, 11277, 12466, 453, 13537, 18011, 28557, 269, 7457, 11292, 5073, 453, 453, 1410, 527, 4590, 28768, 453, 321, 815, 476, 273, 1948, 1599, 786, 14892, 476, 273, 2053, 811, 454, 453, 6112, 533, 1873, 11203, 1412, 27165, 11277, 12466, 453, 453, 321, 815, 536, 910, 476, 272, 692, 453, 453, 1186, 342, 815, 3403, 18011, 16914, 525, 9324, 1221, 269, 7490, 4283, 519, 10957, 281, 10807, 1948, 272, 560, 1900, 454, 4848, 454, 453, 453, 19399, 19399, 10310, 5992, 30607, 454, 4848, 454, 453, 14851, 533, 1873, 2652, 1412, 27165, 11277, 9166, 1948, 273, 526, 2783, 454, 4848, 13537, 18011, 16966, 11292, 5073, 4848, 453, 1410, 527, 10797, 453, 453, 19197, 536, 2652, 476, 272, 281, 1948, 273, 526, 2783, 273, 454, 4848, 453, 1186, 342, 815, 3403, 18011, 16914, 525, 9324, 1221, 269, 901, 707, 2063, 3801, 269, 7490, 1683, 513, 2953, 10957, 281, 17210, 453, 453, 19399, 19399, 19399, 454, 4848, 14851, 533, 1873, 2652, 1412, 27165, 11277, 12466, 15235, 13537, 18011, 16966, 11292, 5073, 15235, 453, 1410, 527, 10797, 4848, 28432, 912, 15235, 13537, 18011, 306, 800, 344, 772, 10093, 32075, 339, 3177, 513, 2953, 2626, 9538, 264, 1948, 274, 6113, 2783, 476, 274, 323, 1900, 454, 15235, 453, 1410, 527, 10797, 1186, 342, 815, 3403, 18011, 8923, 4283, 519, 10957, 281, 10807, 1948, 272, 560, 1900, 454, 2745, 4433, 662, 333, 18425, 263, 1186, 342, 11723, 258, 476, 274, 11083, 307, 4932, 303, 4811, 9215, 590, 26996, 301, 268, 2562 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 3282, 547, 519, 1964, 540, 519, 1158, 563, 292, 2202, 568, 1034, 7925, 547, 9561, 621, 781, 1648, 7727, 689, 2342, 269, 18831, 899, 5125, 630, 1348, 811, 827, 20918, 20837, 476, 273, 264, 723, 1044, 9505, 1154, 1524, 741, 6046, 1379, 2371, 543, 3001, 547, 3154, 543, 4264, 630, 338, 6897, 543, 2842, 264, 1648, 2959, 269, 1306, 519, 21977, 12289, 5170, 267, 649, 917, 519, 1764, 786, 581, 5433, 1472, 519, 1158, 2560, 1317, 540, 938, 2518, 4346, 563, 2026, 519, 2475, 568, 835, 540, 519, 1283, 476, 274, 1648, 6800, 267, 621, 781, 2312, 649, 723, 3255, 547, 4688, 1648, 547, 3565, 547, 519, 1648, 17732, 4611, 689, 6576, 781, 12289, 540, 12907, 563, 24591, 6052, 676, 4635, 10815, 24542, 454, 296, 6415, 693, 513, 2530, 585, 1913, 2560, 2731, 2336, 7069, 3804, 609, 713, 2376, 568, 547, 18663, 4892, 547, 4688, 1648, 693, 1753, 267, 865, 15217, 649, 666, 2569, 519, 1158, 781, 21341, 593, 6576, 781, 3282, 543, 3154, 269, 2311, 519, 1482, 942, 267, 594, 6415, 4743, 3475, 1540, 1317, 540, 782, 519, 4930, 594, 4312, 2854, 547, 948, 21427, 946, 811, 5201, 888, 2171, 2811, 4946, 811, 2029, 547, 1169, 2460, 540, 938, 5321, 899, 5100, 8654, 267, 799, 2333, 946, 540, 5201, 269, 1284, 2811, 7836, 811, 942, 1210, 11418, 689, 24195, 547, 7641, 338, 543, 3756, 267, 799, 782, 946, 5201, 269, 1548, 594, 666, 1405, 2995, 596, 2221, 2560, 568, 875, 649, 666, 3666, 891, 2810, 1648, 7569, 609, 3435, 547, 2569, 1648, 4616, 563, 2690, 1631, 267, 1934, 616, 6266, 540, 2093, 547, 948, 596, 4688, 1648, 2221, 269, 1403, 596, 4734, 707, 2093, 2630, 267, 594, 3513, 2689, 873, 543, 1039, 547, 1250, 2376, 267, 476, 4510, 5851, 26782, 15379, 9669, 6744, 4289, 267, 547, 2671, 1648, 5786, 3435, 563, 268, 681, 996, 1074, 519, 8654, 538, 707, 1753, 543, 1265, 2081, 547, 946, 811, 2067, 8654, 563, 268, 12414, 8279, 1055, 950, 596, 2811, 711, 1210, 873, 269, 18289, 19840, 17300, 1769, 17176, 543, 5100, 15620, 2709, 811, 1648, 9806, 563, 268, 10925, 9702, 8279, 593, 513, 22245, 630, 785, 3233, 610, 9205, 264, 865, 789, 1810, 1405, 3251, 593, 782, 3781, 563, 268, 16440, 811, 1648, 676, 15175, 856, 2025, 1769, 15620, 547, 10896, 15620, 563, 268, 12414, 11418, 1634, 607, 1648, 30632, 2231, 267, 1055, 950, 711, 1373, 1031, 269, 5295, 17446, 4688, 942, 609, 513, 2582, 6467, 585, 2789, 3457, 563, 268, 5455, 14079, 547, 6052, 30252, 14233, 630, 1348, 281, 11370, 3539, 10331, 10662, 281, 1879, 1299, 7316, 1040, 1403, 596, 6854, 707, 2025, 21067, 267, 1118, 2386, 596, 2731, 991, 621, 1299, 2436, 596, 1223, 22010, 713, 1932, 563, 268, 2422, 707, 17196, 3079, 540, 707, 23041, 630, 4103, 585, 803, 267, 700, 5357, 1916, 1692, 4635, 10815, 4826, 4024, 16440, 6052, 454, 268, 12414, 1216, 1055, 1247, 596, 11453, 707, 4522, 563, 268, 6875, 10156, 29636, 547, 2569, 519, 1648, 1031, 547, 3002, 3905, 1216, 563, 268, 8307, 2196, 519, 8670, 13195, 615, 950, 621, 781, 2407, 269, 12414, 1055, 1279, 15018, 9979, 563, 268, 27016, 2394, 596, 723, 2407, 13907, 267, 547, 2196, 707, 11067, 3684, 543, 3819, 518, 269, 654, 4770, 609, 4411, 1216, 786, 4688, 596, 1256, 811, 1648, 563, 268, 6333, 15018, 707, 9660, 3544, 2560, 540, 707, 670, 29151, 2636, 713, 563, 268, 23203, 9660, 811, 982, 2899, 1354, 11067, 267, 585, 1256, 3152, 9806, 563, 13425, 1261, 908, 1299, 15346, 532, 7010, 454, 268, 12305, 513, 5100, 27687, 520, 602, 2306, 621, 2653, 547, 4188, 707, 1753, 781, 2837, 5468, 547, 4688, 1648, 563, 268, 23203, 513, 4418, 831, 1282, 669, 11035, 2395, 267, 547, 1832, 707, 2777, 513, 1906, 5232, 16830, 563, 268, 2422, 18109, 11655, 865, 596, 666, 6318, 270, 12294, 707, 27687, 520, 781, 5468, 513, 1906, 5232, 563, 268, 2422, 513, 8143, 9196, 8254, 547, 1265, 2011, 20984, 1818, 707, 25256, 1062, 2196, 811, 982, 2556, 269, 5410, 28471, 6362, 267, 4365, 4174, 6137, 610, 13471, 547, 3247, 519, 20984, 563, 268, 1403, 596, 4312, 3893, 2582, 533, 2033, 9486, 267, 5372, 873, 609, 12242, 533, 2033, 9486, 563, 268, 29799, 707, 25256, 1062, 781, 2011, 12086, 21237, 267, 547, 1118, 707, 1062, 2196, 811, 7561, 563, 268, 22352, 707, 25256, 1062, 585, 513, 811, 3608, 1062, 267, 952, 707, 2025, 835, 568, 16042, 1439, 540, 1272, 888, 268, 12305, 3859, 8440, 630, 1348, 281, 3657, 1411, 27973, 547, 12305, 9891, 24047, 547, 5352, 1034, 540, 707, 1753, 781, 5122, 2115, 563, 6124, 31346, 2334, 2052, 16440, 6052, 454, 268, 21480, 1920, 2238, 602, 1810, 1405, 946, 5201, 269, 1473, 14995, 621, 781, 942, 4604, 3756, 543, 3544, 267, 513, 1507, 3440, 610, 835, 540, 891, 18147, 3756, 666, 1683, 3108, 540, 1187, 563, 268, 2422, 23431, 3688, 950, 2009, 267, 607, 789, 3653, 1648, 1282, 519, 5663, 1184, 563, 268, 1234, 12860, 1018, 596, 666, 267, 899, 11956, 23691, 267, 547, 4688, 1648, 543, 6151, 2326, 563, 1432, 1705, 649, 4413, 286, 7490, 2995, 721, 543, 6693, 933, 3513, 9337, 713, 24920, 2560, 865, 7064, 256 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4595, 1699, 6843, 568, 519, 2063, 835, 267, 519, 2698, 568, 7329, 343, 266, 272, 454, 7386, 3977, 314, 271, 316, 815, 6843, 3097, 3546, 2132, 7329, 343, 266, 272, 1948, 2698, 9136, 538, 519, 1592, 454, 2018, 3116, 281, 3097, 3546, 2698, 815, 25961, 263, 16059, 267, 6843, 12785, 267, 7329, 343, 266, 272, 994, 3546, 952, 7329, 343, 2652, 2698, 12262, 476, 273, 912, 7386, 3977, 314, 271, 316, 815, 6843, 3097, 3546, 2132, 2698, 28329, 1038, 3977, 815, 1496, 14085, 2639, 1038, 25961, 263, 16059, 267, 2212, 267, 476, 271, 994, 1038, 2132, 3977, 314, 271, 6540, 19638, 258, 3105, 3070, 692, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 912, 825, 1219, 1647, 11966, 4311, 267, 2212, 281, 1412, 18893, 1308, 314, 8266, 11966, 316, 10807, 9847, 1412, 18893, 1308, 314, 8266, 11966, 316, 12466, 1038, 3977, 815, 1496, 14085, 316, 3097, 1038, 1219, 25961, 263, 16059, 267, 6843, 267, 1377, 2567, 1948, 13765, 875, 1082, 2157, 538, 2698, 267, 543, 952, 1699, 1377, 568, 2698, 2260, 273, 266, 272, 630, 1492, 1647, 6843, 994, 2018, 952, 6843, 12785, 912, 3546, 2698, 815, 25961, 263, 16059, 267, 6843, 12785, 267, 1377, 266, 272, 264, 3097, 2018, 3116, 912, 3546, 2698, 815, 1377, 454, 2018, 952, 1377, 2652, 2698, 2260, 273, 266, 272, 912, 3546, 3977, 314, 271, 316, 815, 6843, 3097, 27030, 2018, 2132, 2698, 28329, 1038, 25961, 263, 16059, 267, 2212, 267, 476, 272, 994, 1038, 2132, 3977, 314, 271, 2639, 27030, 4449, 7531, 258, 3105, 1935, 454, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 258, 1362, 8827, 912, 258, 672, 1219, 1647, 11966, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 258, 1363, 1219, 6366, 263, 560, 330, 267, 6843, 2187, 258, 17264, 952, 6843, 12785, 2652, 7183, 912, 258, 4449, 588, 330, 6910, 27316, 994, 258, 17264, 3116, 912, 258, 4449, 588, 330, 6910, 27316, 994, 258, 4449, 6366, 263, 560, 330, 267, 6843, 12785, 994, 258, 1363, 588, 330, 815, 11713, 258, 1363, 6366, 263, 560, 330, 267, 2212, 994, 258, 1363, 2132, 588, 330, 314, 6352, 263, 560, 330, 264, 2260, 273, 6540, 454, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 1412, 18893, 1308, 314, 8266, 11966, 316, 10807, 9847, 536, 944, 912, 1038, 3728, 815, 3500, 815, 2212, 454, 1038, 1247, 3728, 543, 3728, 12785, 543, 3728, 12785, 12785, 912, 2018, 3728, 815, 3728, 12785, 12785, 3097, 2018, 3500, 815, 3500, 12785, 454, 2018, 952, 3500, 2652, 3728, 281, 1948, 952, 972, 781, 513, 4783, 267, 3500, 815, 3728, 693, 930, 1448, 454, 3546, 2132, 6936, 3097, 1038, 2132, 8771, 1948, 9724, 12785, 610, 3728, 12785, 12785, 568, 7183, 267, 621, 1797, 1100, 4783, 22562, 672, 692, 258, 3105, 1935, 8528, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 258, 1362, 8827, 912, 258, 672, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 536, 944, 912, 258, 1363, 952, 2212, 2652, 7183, 912, 258, 17264, 2132, 8771, 454, 258, 1363, 3116, 912, 258, 17264, 3500, 815, 3728, 815, 2212, 454, 258, 17264, 1247, 3728, 12785, 543, 3728, 12785, 12785, 912, 258, 4449, 3728, 815, 3728, 12785, 12785, 454, 258, 4449, 3500, 815, 3500, 12785, 454, 258, 4449, 952, 3728, 2652, 3500, 281, 1948, 9724, 10742, 3500, 454, 258, 4449, 672, 2132, 6936, 454, 258, 17264, 2132, 8771, 692, 258, 3105, 1935, 454, 258, 1948, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 454, 16482, 258, 1362, 8827, 912, 258, 672, 1219, 814, 290, 19564, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 536, 944, 912, 258, 1363, 561, 330, 335, 815, 1305, 4590, 258, 1363, 1247, 2212, 912, 258, 17264, 952, 2212, 711, 538, 561, 330, 335, 912, 258, 4449, 561, 330, 335, 14491, 263, 3650, 994, 258, 4449, 2212, 815, 2212, 12785, 454, 258, 17264, 3116, 912, 258, 4449, 2132, 6936, 454, 258, 1363, 2132, 8771 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 9223, 281, 634, 18917, 729, 8547, 538, 476, 4572, 273, 267, 1519, 5925, 543, 8613, 2533, 269, 898, 568, 1759, 693, 16340, 26511, 5600, 538, 5507, 269, 634, 18917, 568, 6417, 676, 930, 1827, 832, 6074, 676, 519, 2229, 267, 855, 891, 1004, 723, 5191, 543, 519, 2229, 666, 1405, 15936, 1547, 2334, 568, 267, 519, 18917, 568, 9277, 711, 547, 581, 519, 5023, 12328, 476, 540, 519, 2229, 269, 898, 814, 547, 581, 607, 4023, 607, 2009, 538, 4758, 5925, 543, 8613, 942, 547, 267, 585, 1383, 267, 2797, 6105, 543, 3909, 2516, 269, 1703, 568, 513, 2186, 540, 4277, 3028, 538, 3703, 268, 1370, 531, 2533, 269, 3509, 1004, 4782, 547, 10519, 741, 8613, 5036, 3079, 540, 9140, 873, 269, 634, 10519, 585, 513, 3109, 543, 3043, 1305, 568, 827, 476, 3199, 533, 775, 513, 3018, 269, 634, 10519, 540, 513, 2681, 1305, 568, 811, 982, 7466, 602, 540, 513, 3109, 543, 3043, 1305, 269, 1403, 519, 5036, 979, 4636, 267, 1004, 666, 723, 873, 30465, 1863, 540, 5279, 610, 8719, 5612, 269, 15526, 814, 547, 4444, 513, 21496, 12689, 267, 2094, 972, 568, 1100, 10229, 593, 18917, 5925, 610, 8613, 269, 898, 568, 689, 519, 9042, 540, 27121, 602, 519, 18917, 4991, 1034, 540, 922, 2724, 269, 589, 12689, 585, 513, 3109, 543, 3043, 1305, 3790, 476, 279, 6550, 267, 543, 585, 513, 7990, 1305, 476, 1240, 6550, 513, 1032, 269, 1703, 616, 2185, 7463, 5925, 9055, 267, 799, 13739, 1114, 5686, 540, 15961, 269, 15571, 594, 568, 5631, 1402, 2575, 10611, 611, 1470, 476, 273, 9388, 609, 1769, 2575, 267, 5026, 543, 824, 15961, 269, 15571, 476, 274, 13739, 338, 3978, 2575, 267, 12909, 593, 3978, 5396, 3092, 269, 21158, 13739, 338, 616, 5631, 2016, 676, 15571, 476, 275, 269, 1703, 616, 2027, 15961, 585, 8832, 8581, 267, 10430, 267, 12986, 267, 543, 1978, 2694, 540, 4789, 20193, 849, 13739, 338, 15961, 827, 6628, 734, 514, 1082, 1114, 4654, 607, 1134, 607, 538, 2296, 547, 782, 2694, 540, 519, 1158, 269, 1403, 646, 6499, 547, 4585, 7641, 693, 1753, 267, 3025, 567, 9041, 476, 4586, 288, 269, 814, 547, 4444, 513, 8613, 1305, 540, 1010, 1378, 454, 289, 269, 1590, 10519, 513, 7641, 1305, 454, 290, 269, 814, 547, 4444, 513, 12689, 2899, 513, 1032, 454, 291, 269, 666, 1689, 1010, 8697, 7641, 1305, 585, 513, 1007, 835, 1510, 8569, 454, 12585, 281, 595, 0, 22832, 12628, 519, 2699, 22916, 517, 593, 519, 3349, 543, 621, 3893, 7745, 269, 634, 3349, 568, 2182, 269, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 6164, 513, 11213, 15319, 11563, 563, 288, 269, 16202, 513, 1085, 17274, 540, 29877, 4672, 8645, 563, 289, 269, 16202, 513, 1085, 17274, 540, 14132, 12403, 563, 12585, 281, 589, 0, 9223, 281, 1412, 1320, 3518, 601, 2088, 3299, 513, 6263, 8004, 711, 3368, 607, 2462, 607, 513, 14853, 267, 729, 6738, 689, 513, 581, 1375, 541, 781, 10516, 547, 513, 32066, 4807, 269, 1548, 729, 519, 10516, 888, 12585, 281, 513, 24061, 8970, 0, 9223, 281, 5565, 21046, 941, 9361, 1927, 538, 513, 7077, 1547, 1358, 941, 593, 513, 1279, 3460, 1547, 2290, 540, 519, 2367, 729, 513, 4116, 1547, 634, 824, 729, 513, 16027, 1547, 1358, 2893, 1510, 6158, 585, 513, 1247, 2073, 1287, 519, 16027, 1767, 2073, 834, 2913, 781, 798, 1945, 547, 1780, 519, 942, 1547, 257, 834, 1548, 798, 596, 1616, 547, 798, 7790, 257, 519, 4116, 4280, 1547, 834, 1284, 666, 2307, 1142, 824, 678, 26680, 630, 16532, 257, 519, 16027, 1767, 267, 834, 1411, 1376, 1701, 834, 2913, 781, 1118, 519, 3652, 1101, 2073, 257, 519, 4116, 1767, 1547, 834, 1656, 547, 1118, 519, 3014, 811, 4277, 2073, 1577, 781, 1404, 621, 585, 2724, 1547, 1403, 649, 1810, 1405, 917, 519, 2626, 547, 519, 678, 1497, 2073, 649, 723, 547, 2628, 513, 13362, 1547, 257, 634, 16027, 2219, 827, 713, 585, 513, 1247, 2073, 1287, 646, 1767, 2073, 834, 2334, 781, 711, 4023, 263, 1547, 1411, 616, 513, 4116, 2073, 606, 13473, 630, 3738, 812, 1547, 1411, 917, 811, 1919, 982, 594, 798, 1547, 594, 993, 1175, 513, 16027, 1547, 257, 834, 2334, 781, 3020, 2073, 257, 519, 4116, 1767, 2073, 834, 1548, 798, 596, 1589, 649, 1058, 798, 7790, 257, 634, 16027, 1767, 2073, 834, 1403, 596, 1810, 1405, 917, 519, 2626, 547, 513, 678, 1497, 2073, 9767, 2628, 803, 476, 1911, 9489, 1547, 2252, 594, 1810, 1405, 917, 519, 2626, 547, 519, 678, 1497, 2073, 594, 3513, 2628, 596, 476, 2004, 9489, 1701, 634, 4116, 2219, 585, 513, 1247, 2073, 1287, 646, 1767, 2073, 834, 15528, 269, 2334, 781, 4023, 1547, 5808, 3513, 979, 1101, 7790, 257, 834, 296, 786, 2073, 257, 519, 16027, 1767, 1547, 834, 3371, 781, 1250, 678, 1497, 1547, 1548, 814, 1614, 7953, 950, 621, 15211, 2073, 855, 1152, 1079, 7953, 950, 621, 13733, 7790, 257, 634, 4116, 2219, 543, 2219, 2073, 834, 1548, 814, 1614, 7953, 950, 621, 15211, 267, 855, 1152, 1079, 950, 621, 13733, 7790, 257, 3973, 646, 1767, 2073, 834, 2334, 781, 513, 1434, 835, 1547, 594, 1810, 1405, 917, 519, 2626, 1547, 257, 1261, 5795, 519, 16027, 476, 1911, 9489, 543, 1767, 2073, 834, 15681, 803, 519, 2626, 1547, 1548, 568, 621, 7790, 257, 834, 594, 1810, 1405, 917, 2073, 2901, 1547, 257, 634, 16027, 1767, 2073, 543, 5795, 1864, 476, 2004, 9489, 1547, 2311, 1101, 519, 1079, 2367, 2893, 972, 1510, 6158, 1317, 567, 9041, 567, 4586, 288, 269, 519, 16027, 4769, 1405, 899, 519, 4116, 454, 289, 269, 519, 4116, 4769, 1405, 899, 519, 16027, 454, 290, 269, 519, 16027, 17329, 547, 2995, 24668, 454, 291, 269, 789, 4769, 1405, 917, 1142, 824, 454, 12585, 281, 667, 0, 9223, 281, 1215, 798, 596, 4894, 9174, 25859, 689, 9660, 888, 12585, 281, 10925, 930, 6070, 593, 519, 12962, 607, 3533, 607, 2009, 547, 27653, 909, 519, 2699, 9174, 269, 667, 629, 713, 609, 513, 3819, 12308, 269, 0, 9223, 281, 634, 2817, 20155, 540, 3703, 3203, 729, 26948, 519, 570, 622, 20155, 538, 476, 4350, 273, 267, 547, 22632, 513, 2101, 1829, 18503, 945, 1500, 1010, 19539, 609, 1018, 20161, 888, 12585, 281, 522, 572, 0, 9223, 281, 5808, 4465, 519, 4154, 30407, 585, 519, 476, 1911, 332, 693, 519, 476, 1960, 273, 21396, 693, 476, 3953, 1296, 540, 2085, 543, 2968, 519, 9510, 16727, 476, 1911, 544, 22299, 676, 2185, 1296, 888, 12585, 281, 13171, 773, 13274, 5112, 0, 27746, 4682, 547, 979, 4584, 909, 23729, 534, 689, 1153, 267, 855, 1100, 835, 3357, 269, 23729, 534, 729, 7508, 269, 0, 9223, 281, 476, 272, 4303, 26850, 6363, 569, 16971, 9412, 12875, 12875, 19672, 7358, 1807, 281, 23874, 3345, 5245, 20121, 1588, 281, 13648, 26165, 3493, 11301, 3245, 281, 595, 1515, 985, 12875, 13517, 966, 6838, 607, 835, 540, 5245, 781, 18771, 268, 2710, 268, 16987, 7891, 269, 6164, 3054, 547, 606, 5863, 1554, 856, 609, 16971, 26744, 4024, 773, 23583, 269, 3493, 691, 595, 1515, 985, 23582, 23076, 585, 519, 21708, 10520, 22947, 547, 13648, 26165, 269, 22947, 8977, 338, 595, 1515, 985, 693, 476, 277, 281, 3393, 513, 6230, 269, 17949, 513, 476, 3393, 18826, 8184, 609, 8748, 5784, 689, 595, 1515, 985, 547, 13648, 26165, 607, 596, 8038, 2059, 519, 5032, 1063, 519, 2622, 11595, 22986, 543, 519, 4279, 4446, 8175, 24035, 269, 2201, 12625, 538, 13648, 26165, 596, 786, 581, 1558, 676, 4024, 773, 23583, 267, 519, 2757, 1650, 339, 11839, 540, 519, 715, 1872, 531, 21351, 571, 28334, 1547, 4024, 773, 23583, 3217, 14538, 547, 1010, 18577, 4224, 1148, 4609, 267, 1305, 1164, 538, 519, 15113, 1657, 16593, 966, 1446, 267, 3544, 13648, 26165, 269, 3371, 646, 8843, 519, 2984, 3297, 519, 1148, 267, 543, 6941, 875, 519, 10367, 3717, 540, 519, 1034, 2596, 543, 1271, 2298, 540, 1272, 543, 519, 1702, 540, 1010, 1004, 269, 634, 4663, 3217, 596, 998, 606, 11141, 2070, 540, 3670, 4224, 1148, 4609, 267, 1519, 606, 18577, 17510, 29190, 543, 519, 26532, 16624, 29190, 269, 901, 2882, 513, 476, 1789, 18826, 17382, 3802, 593, 3622, 2653, 1768, 6929, 1547, 630, 290, 2642, 6806, 6823, 10887, 1590, 581, 12816, 4700, 17776, 547, 13648, 26165, 693, 476, 272, 281, 1428, 533, 6230, 269, 1141, 4024, 773, 786, 1491, 596, 547, 519, 7186, 5295, 5600, 7467, 267, 13648, 26165, 781, 6250, 3218, 6176, 10418, 269, 700, 4875, 568, 3769, 693, 519, 7638, 8518, 1695, 595, 12522, 269, 634, 1964, 540, 519, 12784, 568, 1863, 547, 2263, 3140, 13648, 26165, 1354, 707, 4483, 547, 13648, 26165, 19633, 543, 2132, 8184, 547, 595, 1515, 985, 269, 22947, 21128, 693, 595, 1515, 985, 23582, 23076, 693, 476, 277, 281, 2412, 533, 6230, 269, 13574, 12417, 593, 12625, 538, 595, 1515, 985, 269, 31245, 20661, 281, 1269, 476, 276, 5392, 269, 876, 5753, 281, 1269, 476, 29496, 269, 876, 19198, 263, 273, 4079, 543, 476, 273, 1453, 2567, 1269, 476, 272, 267, 279, 7597, 269, 876, 4340, 547, 519, 8574, 267, 875, 786, 14666, 12446, 538, 13648, 26165, 888, 288, 269, 1635, 6928, 563, 289, 269, 1635, 1286, 563, 290, 269, 1635, 2011, 563, 291, 269, 1635, 5721, 563, 12585, 281, 595 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1038, 21188, 1073, 329, 815, 8708, 10947, 318, 15953, 3488, 1245, 318, 15953, 5073, 1038, 21188, 1073, 329, 20508, 454, 1038, 1412, 1245, 318, 15953, 28847, 1038, 7711, 12407, 1843, 12173, 281, 519, 2012, 540, 519, 1843, 547, 23074, 454, 1038, 7711, 6943, 1843, 12173, 281, 1193, 454, 1038, 7711, 337, 6943, 281, 700, 346, 30606, 8679, 1038, 7711, 8873, 281, 606, 8629, 8204, 519, 4859, 1843, 16761, 454, 1038, 8173, 1038, 2132, 8629, 4311, 267, 1843, 12173, 267, 3196, 318, 1410, 1235, 18989, 2020, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 1592, 318, 15953, 338, 318, 16769, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 16875, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 17776, 1344, 827, 782, 3615, 538, 519, 29597, 518, 780, 1038, 6206, 5320, 7440, 616, 5701, 607, 26824, 13214, 6724, 543, 666, 454, 1038, 581, 1031, 3970, 519, 1267, 1305, 630, 5408, 519, 16286, 12319, 6393, 1038, 21188, 598, 333, 9131, 935, 1555, 518, 272, 262, 4940, 4289, 318, 15953, 338, 318, 16769, 263, 3916, 527, 284, 273, 994, 1038, 1496, 346, 340, 262, 2421, 5052, 9166, 476, 4366, 273, 271, 2676, 16875, 579, 262, 20880, 25292, 9166, 579, 262, 1952, 997, 566, 270, 24934, 564, 3613, 3195, 22779, 16875, 579, 262, 327, 1662, 9166, 579, 9364, 321, 279, 321, 4649, 275, 876, 321, 11011, 576, 4097, 323, 8517, 324, 14695, 324, 274, 4281, 10436, 325, 279, 22779, 16875, 579, 262, 18431, 318, 7116, 1881, 9166, 579, 262, 1220, 279, 268, 1556, 268, 4962, 307, 876, 281, 6321, 281, 876, 269, 32076, 276, 4792, 22779, 16875, 579, 262, 4067, 9166, 579, 262, 2908, 318, 15953, 262, 348, 2676, 1363, 2715, 340, 262, 2421, 5052, 9166, 476, 6245, 277, 2676, 16875, 579, 262, 20880, 25292, 9166, 579, 262, 1952, 997, 566, 270, 24934, 564, 3613, 3195, 22779, 16875, 579, 262, 327, 1662, 9166, 579, 262, 272, 321, 5392, 4206, 8287, 27219, 278, 25900, 9032, 7251, 273, 320, 1015, 324, 4375, 272, 324, 9083, 323, 275, 321, 22779, 16875, 579, 262, 18431, 318, 7116, 1881, 9166, 579, 262, 1220, 279, 268, 1556, 268, 4962, 307, 876, 281, 6321, 281, 2767, 269, 2004, 279, 278, 3066, 22779, 16875, 579, 262, 4067, 9166, 579, 262, 1245, 318, 15953, 262, 348, 6540, 1038, 7711, 12407, 18772, 281, 6882, 519, 2164, 1210, 713, 18772, 454, 1038, 7711, 6943, 18772, 281, 1193, 454, 1038, 7711, 12407, 3970, 281, 2132, 519, 1101, 834, 3916, 527, 257, 3615, 1336, 454, 1038, 7711, 6943, 3970, 281, 703, 454, 1038, 7711, 12407, 15262, 281, 2132, 3615, 609, 4408, 3152, 982, 834, 5658, 518, 4840, 1038, 7711, 6943, 15262, 281, 1193, 454, 1038, 7711, 12407, 2619, 281, 2132, 782, 3615, 538, 834, 12949, 4840, 1038, 7711, 6943, 2619, 281, 1193, 454, 1038, 7711, 12407, 1642, 574, 3438, 281, 946, 713, 1915, 607, 513, 1642, 574, 3438, 585, 1016, 29715, 1559, 454, 1038, 7711, 6943, 1642, 574, 3438, 281, 1347, 692, 1038, 7711, 337, 6943, 281, 1592, 20719, 257, 4067, 9899, 257, 29389, 267, 834, 327, 1662, 9899, 24222, 834, 21653, 9899, 24222, 834, 6943, 9899, 1862, 348, 994, 1038, 7711, 8873, 281, 513, 1592, 540, 782, 8708, 9623, 607, 21594, 609, 519, 454, 4449, 10569, 834, 4067, 2580, 834, 327, 1662, 2580, 834, 21653, 2580, 543, 834, 6943, 4840, 1038, 8173, 1038, 1612, 916, 9131, 8971, 11172, 815, 1412, 329, 5459, 7055, 1038, 1365, 815, 1582, 11519, 4289, 318, 15953, 338, 318, 3863, 18692, 2018, 18772, 267, 3970, 267, 15262, 267, 2619, 267, 1642, 574, 3438, 267, 2878, 1706, 916, 994, 1038, 2132, 795, 5459, 318, 2903, 338, 263, 4046, 2020, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 1592, 318, 15953, 338, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 672, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 17776, 4408, 540, 782, 700, 346, 30606, 348, 338, 538, 519, 700, 346, 3519, 1555, 518, 348, 780, 1038, 6206, 5320, 7440, 616, 5701, 607, 26824, 13214, 6724, 543, 666, 454, 1038, 581, 1031, 547, 3970, 519, 1267, 1305, 630, 5408, 519, 16286, 12319, 6393, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 3299, 1412, 1245, 318, 15953, 262, 6540, 1038, 7711, 12407, 18772, 281, 6882, 519, 2164, 1210, 713, 18772, 454, 1038, 7711, 6943, 18772, 281, 1193, 454, 1038, 7711, 12407, 3970, 281, 2132, 519, 1101, 834, 3916, 527, 257, 3615, 1336, 454, 1038, 7711, 6943, 3970, 281, 703, 454, 1038, 7711, 12407, 15262, 281, 2132, 3615, 609, 4408, 3152, 982, 834, 5658, 518, 4840, 1038, 7711, 6943, 15262, 281, 1193, 454, 1038, 7711, 12407, 2619, 281, 2132, 782, 3615, 538, 834, 12949, 4840, 1038, 7711, 6943, 2619, 281, 1193, 454, 1038, 7711, 12407, 1642, 574, 3438, 281, 946, 713, 1915, 607, 513, 1642, 574, 3438, 585, 1016, 29715, 1559, 454, 1038, 7711, 6943, 1642, 574, 3438, 281, 1347, 692, 1038, 7711, 337, 6943, 281, 1592, 19304, 994, 1038, 7711, 8873, 281, 513, 1592, 540, 782, 8708, 4408, 454, 1038, 8173, 1038, 1365, 815, 1582, 11519, 4289, 318, 15953, 338, 318, 3863, 263, 2181, 25785, 284, 2181, 25785, 267, 3970, 284, 3916, 527, 2676, 14030, 8587, 15262, 284, 5658, 518, 267, 2619, 284, 12949, 2676, 14030, 8587, 1642, 574, 3438, 284, 23437, 574, 3438, 267, 2878, 1706, 916, 994, 1038, 2132, 1365, 21858, 6050, 10797, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 9041, 4289, 318, 15953, 338, 318, 3863, 4311, 267, 18772, 22561, 267, 3970, 22561, 267, 15262, 22561, 2676, 4449, 16875, 2619, 22561, 267, 1642, 574, 3438, 22561, 267, 2878, 1706, 916, 2187, 1038, 8173, 1038, 16849, 513, 32004, 1592, 540, 4859, 1843, 9623, 563, 1038, 8173, 1038, 952, 18772, 912, 2018, 1612, 916, 9131, 2181, 25785, 11172, 815, 18772, 454, 1038, 952, 3970, 912, 2018, 1612, 916, 9131, 3916, 527, 11172, 815, 3970, 454, 1038, 952, 15262, 912, 2018, 1612, 916, 9131, 5658, 518, 11172, 815, 15262, 454, 1038, 952, 1642, 574, 3438, 912, 2018, 1612, 916, 9131, 23437, 574, 3438, 11172, 815, 1642, 574, 3438, 454, 1038, 952, 711, 2619, 568, 7183, 912, 2018, 1612, 916, 9131, 12949, 11172, 815, 2619, 476, 1948, 8900, 12673, 616, 4570, 454, 1038, 3210, 815, 1582, 26769, 333, 6230, 820, 318, 7528, 652, 3488, 294, 4953, 3299, 1496, 1345, 20508, 3910, 1612, 916, 284, 1706, 916, 994, 1038, 952, 630, 24978, 14714, 9850, 2999, 476, 1220, 264, 610, 630, 24978, 14714, 9850, 3436, 476, 26482, 2187, 2018, 3210, 18667, 4590, 2018, 6318, 15863, 13286, 263, 24978, 14714, 9850, 267, 3210, 18622, 1783, 994, 1038, 2132, 3210, 18667, 10797, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 1582, 10947, 318, 15953, 31107, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 20508, 692, 825, 7711, 7528, 2231, 12173, 263, 1103, 20777, 3519, 1555, 518, 11243, 994, 825, 1219, 18419, 318, 15953, 4311, 267, 1843, 12173, 2187, 1038, 8173, 1038, 32719, 1836, 4894, 513, 4859, 1843, 780, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 3299, 1412, 1245, 318, 15953, 23300, 1038, 21188, 8708, 19709, 8541, 318, 15953, 3488, 1245, 318, 15953, 5073, 1038, 21188, 8708, 269, 4289, 318, 15953, 338, 4590, 1038, 18358, 2908, 318, 15953, 262, 6540, 1038, 7711, 12407, 1843, 12173, 281, 519, 2012, 540, 519, 1843, 547, 23074, 454, 1038, 7711, 6943, 1843, 12173, 281, 1193, 454, 1038, 8173, 1038, 952, 568, 27349, 24998, 12173, 267, 8629, 2187, 2018, 1843, 12173, 815, 1843, 12173, 20508, 454, 1038, 952, 711, 1843, 12173, 912, 2018, 6318, 769, 20777, 30606, 11243, 24998, 12173, 994, 1038, 3210, 815, 1582, 26769, 333, 6230, 820, 318, 7528, 652, 3488, 14701, 4041, 15288, 3299, 1496, 1345, 20508, 267, 1843, 12173, 7481, 1038, 952, 630, 24978, 14714, 9850, 2999, 476, 1220, 264, 610, 630, 24978, 14714, 9850, 3436, 476, 26482, 2187, 2018, 3210, 18667, 4590, 2018, 6318, 15863, 13286, 263, 24978, 14714, 9850, 267, 3210, 18622, 1783, 994, 1038, 3210, 18667, 30800, 5035, 29597, 518, 24342, 24998, 2187, 825, 8173, 825, 1323, 12055, 762, 2164, 1305, 1843, 585, 29597, 619, 780, 825, 901, 1362, 28352, 8675, 268, 543, 1592, 6438, 17103, 563, 825, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 598, 333, 267, 11149, 284, 4289, 3890, 2187, 1038, 1582, 11519, 935, 1555, 619, 815, 11149, 454, 1038, 1582, 11519, 12849, 815, 1496, 330, 9131, 4067, 11172, 585, 737, 538, 11149, 2639, 1038, 1582, 26769, 333, 815, 598, 333, 692, 825, 1219, 6449, 1326, 14403, 9191, 1345, 267, 1883, 2187, 1038, 2132, 29597, 518, 4311, 26769, 333, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 4067, 11172, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 12248, 11172, 2676, 4449, 1363, 1582, 11519, 935, 1555, 619, 314, 4486, 6012, 262, 2421, 5052, 11172, 2020, 825, 1219, 6449, 12033, 331, 823, 9191, 1345, 267, 1775, 267, 795, 2187, 1038, 2132, 1496, 3519, 1555, 518, 4311, 26769, 333, 267, 737, 9131, 4067, 28710, 737, 9131, 12248, 28710, 26444, 4449, 23526, 737, 9131, 21653, 262, 8079, 585, 737, 538, 1582, 11519, 935, 1555, 619, 5157, 281, 329, 316, 6540, 825, 1219, 6449, 935, 13935, 9191, 1345, 267, 6221, 2187, 1038, 2132, 6221, 538, 1582, 11519, 12849, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 1412, 3519, 1555, 518, 24342, 281, 4939, 338, 11149, 262, 4939, 7003, 4311, 11519, 935, 1555, 619, 994, 825, 6449, 1598, 1029, 815, 6449, 516, 1440, 1029, 692, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 7003, 4311, 11519, 935, 1555, 619, 2020, 825, 1219, 4994, 4311, 267, 1871, 267, 2608, 16911, 2187, 1038, 8173, 1038, 7024, 606, 8870, 585, 519, 1101, 4994, 540, 1871, 454, 1038, 8173, 1038, 2132, 1582, 11519, 12849, 28827, 263, 7407, 267, 2608, 16911, 2020, 825, 1219, 1293, 4311, 267, 1871, 2187, 1038, 8173, 1038, 7024, 519, 1297, 540, 20825, 540, 1871, 454, 1038, 8173, 1038, 2132, 1582, 11519, 12849, 29644, 263, 7407, 2020, 258, 642, 574, 281, 3553, 513, 328, 2220, 284, 275, 512, 338, 284, 275, 1000, 284, 271, 4228, 339, 629, 912, 0, 454, 258, 291, 27364, 542, 9222, 598, 13798, 15282, 632, 1958, 2815, 30685, 2274, 564, 3097, 323, 27364, 542, 9222, 8867, 564, 284, 19127, 825, 476, 271, 2433, 834, 275, 20350, 825, 476, 272, 2433, 834, 277, 20350, 825, 476, 273, 2433, 834, 274, 20350, 825, 476, 274, 2433, 834, 347, 20350, 825, 476, 275, 2433, 834, 272, 20350, 825, 476, 276, 2433, 834, 263, 309, 264, 20350, 825, 476, 277, 2433, 678, 257, 7268, 264, 2580, 258, 834, 337, 257, 734, 285, 16948, 6446, 1100, 512, 1263, 320, 679, 24140, 31980, 834, 1422, 27029, 825, 476, 278, 2433, 834, 271, 20350, 825, 476, 279, 2433, 834, 276, 20350, 825, 476, 280, 2433, 834, 278, 20350, 825, 476, 1015, 2433, 678, 257, 315, 270, 20350, 825, 476, 1556, 2433, 834, 319, 2260, 20350, 8679, 258, 291, 27364, 542, 9222, 598, 7873, 15282, 632, 1958, 2815, 30685, 16453, 454, 323, 27364, 542, 9222, 31863, 284, 19127, 825, 476, 271, 2433, 834, 288, 20350, 825, 476, 272, 2433, 834, 289, 20350, 825, 476, 273, 2433, 834, 292, 20350, 825, 476, 274, 2433, 834, 296, 20350, 825, 476, 275, 2433, 834, 299, 20350, 825, 476, 276, 2433, 834, 300, 20350, 825, 476, 277, 2433, 834, 301, 20350, 825, 476, 278, 2433, 834, 302, 20350, 825, 476, 279, 2433, 834, 306, 20350, 825, 476, 280, 2433, 834, 307, 20350, 825, 476, 1015, 2433, 834, 309, 20350, 825, 476, 1556, 2433, 834, 310, 20350, 8679, 258, 293, 15635, 542, 973, 32079, 20017, 6511, 632, 1257, 334, 267, 291, 27364, 542, 16619, 10557, 586, 667, 27364, 542, 9222, 16453, 454, 3698, 3690, 4933, 597, 318, 5719, 318, 31863, 318, 288, 318, 8867, 564, 6600, 19189, 318, 31863, 28504, 545, 299, 2465, 28504, 545, 301, 528, 2187, 8931, 825, 9992, 848, 318, 8867, 564, 284, 24001, 258, 291, 27364, 542, 9222, 6446, 620, 332, 659, 523, 541, 5451, 3288, 9992, 848, 911, 3027, 5866, 22562, 825, 9992, 848, 318, 548, 564, 284, 3269, 258, 290, 611, 6511, 679, 3288, 6446, 620, 332, 659, 523, 541, 5451, 1714, 733, 523, 18480, 1642 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 258, 5173, 543, 2328, 1101, 7154, 1954, 336, 563, 453, 14140, 300, 1712, 26466, 336, 815, 1293, 300, 1712, 293, 15968, 29254, 8624, 4379, 267, 1101, 300, 1712, 994, 453, 13906, 8368, 18118, 6910, 6600, 1009, 300, 1712, 26466, 336, 264, 8528, 453, 258, 1265, 1101, 25042, 4939, 454, 453, 13906, 8368, 18118, 6910, 263, 5180, 9230, 14140, 300, 1712, 26466, 336, 2608, 476, 1911, 264, 1315, 630, 6352, 29254, 8624, 4379, 264, 910, 7508, 11749, 1132, 15575, 1070, 476, 272, 264, 25589, 453, 258, 5822, 25042, 2051, 8435, 6726, 566, 454, 453, 258, 5299, 1239, 18134, 883, 513, 1007, 1239, 18134, 454, 453, 4206, 8624, 4379, 290, 4878, 815, 17093, 8624, 4379, 6983, 4878, 4590, 453, 258, 4894, 782, 9343, 602, 2270, 519, 1101, 7154, 454, 453, 4206, 8624, 4379, 290, 4878, 815, 17093, 8624, 4379, 290, 4878, 314, 4206, 8624, 4379, 290, 4878, 11203, 1101, 300, 1712, 2639, 453, 258, 1265, 519, 7154, 540, 519, 1007, 1239, 18134, 267, 713, 1058, 2285, 803, 519, 2034, 7154, 454, 453, 16149, 300, 1712, 815, 17093, 8624, 4379, 290, 4878, 6230, 1712, 14061, 559, 665, 314, 271, 2639, 453, 13906, 8368, 18118, 6910, 263, 16149, 300, 1712, 994, 453, 16149, 300, 1712, 26466, 336, 815, 1293, 300, 1712, 293, 15968, 29254, 8624, 4379, 290, 4878, 267, 2034, 300, 1712, 994, 453, 13906, 8368, 18118, 6910, 263, 16149, 300, 1712, 26466, 336, 2020, 453, 13906, 8368, 18118, 6910, 263, 5180, 9230, 16149, 300, 1712, 26466, 336, 2608, 476, 1911, 264, 1315, 630, 6352, 29254, 8624, 4379, 264, 910, 7508, 11749, 1132, 15575, 1070, 476, 272, 264, 12467, 16596, 3032, 8368, 18118, 692, 13906, 8722, 1155, 10574, 815, 1496, 321, 16742, 25205, 514, 1275, 8722, 1155, 8368, 3488, 310, 3036, 298, 12710, 19798, 3299, 17093, 9131, 1740, 5035, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3633, 24102, 3299, 17093, 9131, 25531, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3633, 24102, 9539, 9331, 3299, 17093, 9131, 25531, 5991, 636, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 300, 2752, 3951, 3201, 4149, 307, 2969, 4785, 3299, 17093, 9131, 3405, 1388, 3613, 9850, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 302, 6717, 308, 5183, 3582, 3299, 17093, 9131, 21232, 566, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 3918, 6369, 16739, 295, 7709, 3299, 17093, 9131, 30447, 1222, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 305, 19781, 3299, 17093, 9131, 15869, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 10345, 311, 3299, 17093, 9131, 16303, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 2793, 20937, 4211, 5495, 301, 15045, 312, 3299, 17093, 9131, 333, 894, 28029, 787, 11172, 1070, 3710, 25205, 514, 1275, 8722, 1155, 8368, 3488, 307, 2752, 294, 4953, 3299, 17093, 9131, 339, 13759, 262, 8079, 2639, 322, 1538, 5566, 8722, 1155, 10574, 20988, 815, 19073, 6185, 1092, 20988, 16597, 815, 3032, 8722, 1155, 10574, 267, 9587, 815, 3032, 8722, 1155, 301, 1868, 994, 322, 1538, 5566, 8722, 1155, 10574, 20988, 30419, 32269, 3488, 32220, 11907, 11305, 14096, 26326, 6795, 290, 2969, 27406, 3299, 4994, 25716, 267, 20927, 18989, 264, 0, 258, 32633, 3691, 281, 5903, 553, 18258, 454, 258, 5136, 27826, 16343, 281, 16334, 652, 571, 1714, 30775, 542, 600, 1304, 334, 632, 15255, 1592, 553, 679, 5124, 454, 258, 4201, 528, 281, 13198, 857, 334, 6424, 5651, 17505, 645, 10961, 21731, 454, 258, 3171, 15939, 281, 476, 273, 632, 15567, 1470, 476, 1001, 280, 692, 5814, 15259, 692, 258, 5719, 743, 541, 32115, 632, 812, 5028, 2518, 3288, 30458, 454, 4289, 320, 17342, 6540, 258, 14343, 955, 8894, 258, 293, 9629, 11252, 16948, 989, 2958, 541, 3688, 513, 3288, 30458, 454, 258, 14343, 955, 454, 3698, 989, 2958, 541, 2005, 655, 5560, 6737, 2187, 825, 30458, 6910, 5560, 6737, 9239, 258, 24801, 454, 258, 293, 9629, 11252, 16948, 18664, 32057, 3688, 632, 3288, 30458, 454, 258, 24801, 454, 3698, 5154, 14373, 2005, 655, 5560, 6737, 2187, 825, 952, 630, 323, 6737, 538, 30458, 2187, 1038, 30458, 31927, 5560, 6737, 994, 1038, 1820, 2891, 291, 6737, 20700, 574, 514, 5964, 5602, 825, 3116, 912, 1038, 1820, 2891, 14976, 6221, 12971, 2291, 324, 679, 3288, 30458, 29389, 2020, 258, 24801, 454, 258, 293, 9629, 11252, 16948, 791, 3234, 597, 17485, 3693, 657, 632, 3288, 30458, 454, 258, 24801, 454, 3698, 791, 3234, 597, 8266, 320, 10031, 825, 795, 284, 271, 454, 825, 585, 1775, 538, 30458, 912, 1038, 1820, 2891, 2005, 655, 281, 14307, 329, 2437, 267, 14307, 1775, 994, 1038, 795, 815, 795, 266, 272, 7531, 258, 24464, 340, 9030, 1642, 1982, 320, 454, 3698, 1292, 10031, 825, 524, 545, 5979, 815, 6936, 454, 825, 1247, 630, 322, 545, 5979, 2652, 6936, 2187, 1038, 1820, 2891, 19203, 29441, 16948, 3004, 321, 1690, 541, 598, 5903, 553, 19203, 5602, 1038, 1820, 2891, 272, 269, 3397, 2958, 541, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 273, 269, 22084, 8364, 796, 3693, 334, 679, 3288, 30458, 5602, 1038, 1820, 2891, 274, 269, 3525, 881, 541, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 275, 269, 16907, 32057, 796, 3693, 657, 513, 3288, 30458, 5602, 1038, 1820, 2891, 276, 269, 590, 3201, 7644, 5602, 1038, 1566, 322, 542, 284, 703, 9272, 2891, 5085, 296, 297, 288, 772, 2793, 20525, 5746, 2177, 281, 27328, 13872, 1038, 1820, 19629, 333, 5602, 13872, 1038, 952, 263, 641, 322, 542, 2652, 476, 272, 2187, 2018, 6221, 815, 3403, 2891, 4504, 28558, 796, 27089, 1642, 3693, 334, 281, 19515, 2018, 989, 2958, 541, 2005, 655, 263, 14403, 994, 1038, 8640, 630, 641, 322, 542, 2652, 476, 273, 2187, 2018, 1820, 4590, 1038, 8640, 630, 641, 322, 542, 2652, 476, 274, 2187, 2018, 1820, 4590, 1038, 8640, 630, 641, 322, 542, 2652, 476, 275, 2187, 2018, 6221, 815, 3403, 2891, 292, 5554, 324, 796, 3693, 334, 513, 18664, 32057, 281, 19515, 2018, 5154, 14373, 2005, 655, 263, 14403, 994, 1038, 8640, 630, 641, 322, 542, 2652, 476, 276, 2187, 2018, 1820, 2891, 1862, 293, 2562, 667, 5085, 11550, 16165, 24717, 907, 23528, 2018, 524, 545, 5979, 815, 8771, 454, 1038, 3116, 912, 2018, 1820, 2891, 5353, 548, 764, 542, 320, 796, 1303, 3266, 1303, 516, 476, 272, 586, 476, 276, 5602, 2018, 1820, 19629, 333, 257, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 10797, 0, 12163, 265, 8606, 17575, 281, 567, 695, 320, 16348, 18258, 454, 265, 8191, 281, 672, 13019, 604, 8566, 630, 1889, 327, 5471, 326, 738, 2131, 514, 476, 2311, 476, 26453, 534, 857, 684, 643, 12975, 994, 265, 14645, 912, 265, 2598, 25068, 281, 901, 3009, 568, 4843, 834, 553, 568, 257, 1510, 1022, 18715, 563, 265, 19672, 281, 825, 23840, 540, 519, 590, 11190, 268, 16348, 814, 3107, 5690, 563, 23526, 590, 11190, 268, 16348, 568, 835, 540, 519, 1614, 6620, 538, 519, 590, 11190, 273, 454, 23526, 20487, 269, 634, 1866, 267, 590, 11190, 268, 29575, 543, 590, 11190, 268, 24423, 267, 616, 711, 454, 23526, 6035, 538, 713, 6388, 563, 23526, 1280, 513, 1732, 5075, 282, 23990, 20487, 666, 581, 1336, 1934, 912, 25639, 2608, 5291, 2517, 14369, 21683, 8542, 626, 10993, 9706, 3016, 725, 11721, 2354, 11721, 2354, 5197, 268, 273, 11721, 2354, 5197, 268, 273, 5976, 577, 836, 523, 582, 823, 15005, 3097, 23526, 609, 930, 7778, 912, 25639, 2608, 4179, 2517, 339, 8962, 269, 2884, 325, 3820, 270, 6255, 6447, 29265, 325, 322, 5379, 274, 275, 258, 7611, 268, 277, 269, 273, 692, 23526, 13242, 9504, 607, 513, 2707, 2986, 28342, 665, 1712, 10778, 25639, 2608, 4179, 2517, 523, 25769, 3820, 28293, 13478, 11190, 268, 273, 258, 303, 12065, 665, 1712, 692, 23526, 13332, 2450, 281, 24423, 3787, 454, 23526, 19243, 2450, 281, 476, 16348, 3787, 454, 17264, 3097, 23526, 8206, 4063, 281, 713, 5690, 568, 1634, 607, 11630, 585, 20099, 10137, 4323, 454, 7386, 2433, 901, 4323, 568, 4570, 950, 519, 1239, 543, 4611, 1129, 8132, 267, 7474, 568, 17223, 609, 513, 5728, 1883, 267, 568, 1634, 1247, 5728, 4486, 910, 338, 5306, 268, 568, 711, 1634, 269, 769, 7925, 12240, 262, 609, 5728, 15418, 2409, 267, 30429, 666, 946, 713, 5690, 267, 799, 568, 849, 6322, 547, 581, 8045, 538, 713, 23789, 563, 7386, 2433, 1280, 811, 4449, 8931, 4449, 8587, 2608, 4179, 2517, 523, 25769, 3820, 28293, 13624, 2654, 318, 2169, 3290, 318, 3430, 871, 454, 4449, 8587, 2608, 4179, 2517, 24108, 4732, 330, 1638, 9798, 3820, 270, 1001, 273, 270, 22336, 2251, 3917, 537, 16250, 539, 3562, 268, 3104, 268, 12671, 3620, 1662, 27480, 268, 2169, 3290, 31281, 2931, 454, 20701, 2162, 2422, 995, 3252, 585, 3787, 270, 2421, 974, 11486, 2435, 270, 20657, 2711, 270, 28411, 1228, 31565, 4238, 476, 12693, 454, 3698, 6460, 2414, 289, 2572, 30415, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 865, 1934, 547, 6460, 519, 12673, 883, 3787, 792, 2001, 454, 825, 1948, 4063, 281, 649, 949, 946, 513, 1599, 855, 1775, 991, 1169, 1900, 3254, 593, 519, 3977, 1934, 2483, 825, 679, 284, 11415, 269, 523, 13892, 4590, 825, 2855, 17342, 2639, 825, 585, 1775, 538, 679, 912, 1038, 2855, 6910, 9217, 994, 825, 2132, 2855, 692, 3698, 2262, 3519, 591, 614, 263, 6783, 8170, 292, 548, 916, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 339, 1389, 476, 275, 476, 279, 19229, 543, 17838, 547, 476, 3953, 11353, 563, 825, 2458, 3660, 284, 271, 454, 825, 585, 1605, 332, 538, 5044, 8170, 292, 548, 916, 912, 8587, 1948, 2745, 19629, 974, 24333, 324, 12661, 994, 8587, 2458, 3660, 284, 322, 3326, 3660, 16732, 273, 1262, 279, 11924, 324, 12661, 454, 8587, 1948, 2745, 19629, 339, 29146, 15010, 2580, 16535, 16216, 12661, 1070, 257, 315, 339, 15010, 24333, 16535, 6262, 3326, 3660, 4917, 825, 1948, 2745, 2891, 322, 24333, 322, 3326, 3660, 994, 825, 2132, 2458, 3660, 692, 3698, 20099, 5976, 5038, 4226, 263, 21920, 2187, 825, 1948, 711, 513, 851, 540, 519, 814, 3107, 5690, 855, 649, 786, 4558, 543, 946, 11116, 5569, 585, 7778, 8897, 269, 3097, 825, 1948, 17838, 519, 20099, 547, 476, 5038, 3787, 6041, 267, 3097, 825, 1948, 2132, 786, 581, 476, 279, 8870, 2094, 649, 1705, 711, 946, 476, 3953, 5560, 580, 652, 15481, 264, 585, 713, 2484, 563, 825, 2855, 17342, 271, 585, 1535, 538, 2039, 263, 5038, 22708, 825, 538, 23605, 284, 16535, 263, 21920, 25011, 273, 281, 316, 1948, 268, 273, 568, 585, 476, 271, 321, 851, 2094, 649, 616, 3843, 547, 1293, 519, 11353, 563, 825, 952, 7003, 263, 514, 23605, 264, 285, 273, 1262, 5038, 912, 1038, 6318, 28759, 3488, 7407, 568, 8273, 982, 476, 273, 1262, 5038, 5073, 825, 1775, 284, 6352, 263, 514, 23605, 9984, 272, 454, 825, 1247, 1775, 285, 284, 271, 912, 1038, 2855, 314, 8287, 25829, 24557, 514, 23605, 314, 6352, 263, 514, 23605, 9984, 272, 25829, 2639, 1038, 1775, 268, 284, 272, 454, 825, 1948, 2745, 19906, 994, 825, 1948, 322, 3326, 728, 883, 476, 279, 17486, 912, 825, 607, 289, 514, 284, 3269, 454, 825, 607, 295, 1410, 17342, 2639, 825, 585, 795, 538, 2039, 263, 5038, 2187, 1038, 952, 630, 329, 266, 272, 264, 260, 279, 256, 284, 271, 912, 2018, 607, 289, 514, 23785, 1598, 19906, 14728, 7481, 1038, 3116, 912, 2018, 607, 289, 514, 23785, 1598, 19906, 14728, 7481, 2018, 607, 295, 1410, 6910, 263, 553, 289, 514, 994, 2018, 607, 289, 514, 284, 3269, 454, 825, 1948, 935, 3200, 689, 9352, 547, 8870, 910, 279, 3787, 2483, 825, 607, 13356, 17342, 2639, 825, 585, 5569, 538, 607, 295, 1410, 912, 1038, 607, 13356, 6910, 17301, 30415, 267, 273, 4917, 825, 1948, 2745, 263, 553, 13356, 994, 825, 2132, 607, 13356, 19638, 2162, 16875, 26914, 4629, 674, 7419, 290, 16739, 2018, 476, 2971, 692, 258, 891, 3252, 616, 2469, 547, 581, 1031, 538, 814, 3107, 1184, 269, 1358, 616, 711, 513, 851, 540, 519, 670, 4770, 5690, 267, 855, 2052, 581, 10924, 607, 4295, 2609, 540, 32599, 16348, 3097, 23026, 15481, 815, 476, 5038, 454, 21745, 652, 15481, 815, 476, 3953, 692, 3698, 8863, 3287, 11971, 267, 345, 2187, 825, 1948, 3442, 263, 1535 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 333, 815, 3403, 263, 1412, 301, 727, 798, 7817, 324, 281, 30386, 322, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 28688, 281, 1412, 4917, 337, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 4676, 3419, 518, 14397, 281, 1412, 4917, 332, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 27190, 334, 2372, 25366, 281, 1412, 4917, 338, 815, 10581, 9272, 3488, 23797, 573, 1228, 7895, 5866, 632, 29813, 557, 974, 281, 1412, 11723, 336, 272, 815, 524, 2608, 476, 275, 454, 336, 273, 815, 678, 2608, 476, 276, 454, 336, 274, 815, 544, 2608, 476, 274, 269, 2004, 454, 336, 275, 815, 521, 2608, 476, 274, 454, 338, 5448, 815, 7117, 272, 266, 336, 273, 266, 336, 274, 266, 336, 275, 692, 2745, 4590, 2745, 3488, 5141, 1304, 324, 3299, 333, 994, 2745, 4590, 2745, 3488, 570, 8475, 320, 30386, 2745, 6600, 262, 315, 333, 28688, 815, 681, 259, 476, 275, 267, 876, 7895, 573, 657, 281, 2715, 322, 348, 27089, 281, 2715, 336, 272, 348, 1422, 333, 4676, 3419, 518, 14397, 815, 681, 259, 476, 276, 267, 876, 7895, 573, 657, 281, 2715, 337, 348, 27089, 281, 2715, 336, 273, 348, 1422, 333, 27190, 334, 844, 25366, 815, 681, 259, 476, 274, 267, 2004, 7895, 573, 657, 281, 2715, 332, 348, 27089, 281, 2715, 336, 274, 348, 1422, 333, 29813, 557, 974, 815, 681, 259, 476, 274, 267, 876, 7895, 573, 657, 281, 2715, 338, 348, 27089, 281, 2715, 336, 275, 348, 5073, 2745, 4590, 2745, 6600, 262, 6944, 320, 798, 7817, 324, 2715, 333, 348, 815, 2715, 338, 5448, 348, 5073, 0, 1440, 24982, 815, 6936, 692, 333, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 703, 324, 10098, 281, 1412, 3738, 2020, 1721, 1775, 538, 2039, 630, 273, 19885, 2187, 825, 952, 562, 4939, 1775, 2652, 476, 271, 912, 1038, 2215, 334, 815, 8771, 454, 604, 2215, 334, 912, 825, 1820, 3799, 10086, 2946, 2215, 334, 5073, 12828, 912, 825, 1820, 3799, 10086, 301, 14244, 20527, 2215, 334, 17210, 0, 333, 272, 815, 10581, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 333, 273, 815, 10581, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 604, 562, 272, 2999, 562, 273, 912, 825, 1820, 3799, 272, 267, 1412, 324, 262, 2073, 333, 273, 994, 12828, 912, 825, 1820, 3799, 273, 267, 1412, 324, 262, 2073, 333, 272, 994, 0, 26611, 16535, 270, 7090, 454, 5814, 19523, 692, 331, 815, 1496, 328, 585, 1775, 538, 2039, 263, 2004, 264, 952, 476, 1775, 10922, 276, 6540, 2745, 10857, 2020, 18411, 15893, 6783, 815, 1496, 328, 585, 1775, 538, 1535, 9792, 263, 1911, 264, 952, 711, 630, 328, 4939, 476, 273, 264, 6540, 454, 27219, 815, 476, 271, 454, 1721, 1535, 538, 1535, 9792, 263, 1015, 2187, 825, 1297, 6783, 6910, 263, 8681, 842, 263, 271, 267, 4649, 4917, 2745, 630, 276, 285, 284, 15893, 6783, 2020, 692, 15893, 8266, 815, 32582, 1948, 570, 7238, 3387, 561, 18863, 516, 327, 9926, 5451, 21542, 454, 16838, 301, 13246, 815, 11713, 27219, 815, 476, 271, 692, 1721, 1775, 538, 2039, 263, 1911, 2567, 1948, 2473, 1605, 332, 385, 365, 513, 512, 7238, 3387, 513, 524, 1731, 331, 1380, 531, 5433, 7238, 2741, 329, 6686, 330, 454, 453, 15893, 8266, 6910, 263, 8681, 842, 263, 271, 267, 4200, 4917, 2745, 630, 15893, 8266, 264, 258, 330, 749, 554, 9609, 513, 22408, 1605, 329, 26408, 1850, 344, 523, 3331, 511, 4445, 562, 655, 513, 524, 1731, 331, 639, 332, 698, 3316, 8709, 1649, 928, 780, 1721, 1775, 538, 2039, 12759, 28840, 8266, 15892, 14851, 1297, 8266, 5157, 316, 4939, 476, 273, 2652, 476, 271, 912, 453, 453, 16838, 301, 13246, 6910, 28840, 8266, 5157, 7481, 28768, 2745, 630, 16838, 301, 13246, 2020, 2745, 263, 8681, 9792, 263, 271, 267, 1911, 4917, 18257, 0, 5814, 30220, 692, 258, 293, 7419, 290, 16739, 1366, 9339, 454, 258, 9577, 547, 2638, 2418, 609, 1152, 835, 1871, 3079, 540, 476, 273, 543, 4227, 454, 2742, 652, 4592, 815, 1496, 1556, 267, 476, 2420, 267, 476, 3451, 267, 476, 4510, 6540, 3698, 7857, 13765, 6025, 342, 617, 580, 1080, 17107, 825, 952, 7003, 6025, 342, 617, 580, 1080, 264, 2999, 476, 273, 912, 1038, 1948, 1820, 263, 12148, 994, 1038, 1948, 1820, 6600, 10454, 1871, 814, 1152, 835, 7857, 281, 2715, 13512, 617, 580, 1080, 348, 5602, 1038, 1871, 815, 535, 257, 271, 346, 13512, 617, 580, 1080, 348, 4840, 1038, 1948, 1820, 6600, 10454, 6378, 1871, 568, 281, 2715, 7407, 348, 5602, 1038, 15254, 815, 703, 263, 7407, 314, 271, 8079, 1341, 703, 263, 7407, 314, 272, 20285, 1038, 952, 15254, 3436, 476, 280, 912, 2018, 1193, 272, 815, 1193, 263, 12534, 994, 2018, 15254, 273, 815, 703, 19304, 272, 314, 271, 8079, 1341, 703, 19304, 272, 314, 272, 7481, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 3152, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 1948, 1820, 6600, 21893, 568, 519, 4389, 835, 281, 2715, 12534, 273, 348, 5602, 2018, 2132, 263, 12534, 273, 994, 1038, 3116, 912, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 1447, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 2132, 263, 12534, 994, 825, 3116, 912, 1038, 1948, 1820, 263, 16178, 994, 1038, 1948, 1820, 6600, 10454, 1871, 814, 1079, 7857, 281, 2715, 13512, 617, 580, 1080, 348, 5602, 1038, 15254, 815, 703, 6025, 342, 617, 580, 1080, 314, 271, 8079, 1341, 703, 6025, 342, 617, 580, 1080, 314, 272, 20285, 1038, 952, 15254, 3436, 476, 280, 912, 2018, 1193, 272, 815, 1193, 263, 12534, 994, 2018, 15254, 273, 815, 703, 19304, 272, 314, 271, 8079, 1341, 703, 19304, 272, 314, 272, 7481, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 3152, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 1948, 1820, 6600, 21893, 568, 519, 4389, 835, 281, 2715, 12534, 273, 348, 5602, 2018, 2132, 263, 12534, 273, 994, 1038, 3116, 912, 2018, 1948, 1820, 6600, 257, 11764, 540, 10025, 568, 1447, 982, 476, 280, 281, 2715, 12534, 348, 5602, 2018, 2132, 263, 12534, 2020, 258, 13673, 291, 5508, 674, 7419, 290, 3582, 692, 258, 2411, 9339, 454, 258, 2411, 19567, 258, 8702, 454, 2745, 2891, 289, 1329, 1597, 18480, 513, 6746, 860, 17144, 269, 1470, 5602, 2745, 10797, 258, 289, 9500, 11261, 3403, 454, 258, 2411, 9339, 454, 11845, 318, 18782, 815, 3403, 2891, 292, 18285, 8913, 905, 15939, 632, 562, 659, 574, 1304, 334, 679, 1714, 3898, 334, 281, 30250, 5336, 300, 25286, 312, 312, 312, 281, 19515, 258, 14630, 9273, 454, 1485, 267, 3923, 267, 1032, 815, 4786, 17301, 267, 4266, 318, 18782, 21858, 3488, 268, 29125, 19689, 5091, 622, 815, 30220, 6155, 622, 12169, 792, 267, 3923, 267, 1554, 994, 25346, 342, 10734, 9500, 5091, 622, 815, 4332, 5091, 622, 269, 1598, 1111, 830, 2891, 260, 288, 5602, 339, 3736, 5091, 622, 815, 30220, 6155, 622, 6745, 3736, 4590, 258, 2411, 19567, 258, 289, 9500, 11261, 9273, 454, 258, 2411, 9339, 454, 341, 14729, 792, 815, 1193, 6357, 9500, 5091, 622, 13885, 792, 994, 341, 318, 24629, 815, 1193, 6357, 9500, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 341, 318, 1485, 815, 1193, 6357, 9500, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 29125, 258, 2411, 19567, 258, 8256, 738, 566, 4266, 3403, 692, 11845, 318, 18782, 815, 3403, 2891, 292, 18285, 3288, 905, 15939, 632, 5077, 320, 281, 30250, 5336, 300, 25286, 312, 312, 312, 281, 19515, 1485, 267, 3923, 267, 1032, 815, 4786, 17301, 267, 4266, 318, 18782, 21858, 3488, 268, 29125, 4621, 738, 5091, 622, 815, 30220, 6155, 622, 12169, 792, 267, 3923, 267, 1554, 2020, 258, 8256, 738, 11261, 9273, 454, 258, 2411, 9339, 454, 322, 14729, 792, 815, 1193, 263, 4621, 738, 5091, 622, 13885, 792, 994, 322, 14729, 792, 318, 15200, 815, 703, 6262, 14729, 792, 264, 1341, 476, 272, 454, 322, 14729, 792, 28804, 639, 815, 703, 6262, 14729, 792, 264, 910, 476, 272, 454, 322, 318, 24629, 815, 1193, 263, 4621, 738, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 322, 318, 1485, 815, 1193, 263, 4621, 738, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 10807, 2020, 2181, 318, 5632, 322, 23544, 6831, 14729, 792, 815, 703, 6262, 14729, 792, 314, 271, 8079, 1341, 703, 6262, 14729, 792, 314, 272, 8079, 1341, 703, 6262, 14729, 792, 314, 273, 8079, 1341, 703, 6262, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 6831, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 6831, 14729, 792, 4917, 258, 2411, 19567, 258, 9213, 6726, 725, 454, 258, 2411, 9339, 454, 339, 14729, 792, 815, 1193, 6025, 3736, 5091, 622, 13885, 792, 994, 339, 14729, 792, 318, 15200, 815, 703, 6025, 14729, 792, 264, 1341, 476, 272, 454, 339, 14729, 792, 28804, 639, 815, 703, 6025, 14729, 792, 264, 910, 476, 272, 454, 339, 318, 24629, 815, 1193, 6025, 3736, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 332, 29125, 339, 318, 1485, 815, 1193, 6025, 3736, 5091, 622, 269, 1598, 1111, 830, 3488, 260, 323, 10807, 2020, 2181, 318, 5632, 322, 23544, 4671, 14729, 792, 815, 703, 6025, 14729, 792, 314, 271, 8079, 1341, 703, 6025, 14729, 792, 314, 272, 8079, 1341, 703, 6025, 14729, 792, 314, 273, 8079, 1341, 703, 6025, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 4671, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 14729, 792, 11723, 258, 2411, 9339, 7531, 2181, 318, 5632, 322, 23544, 14729, 792, 815, 703, 17635, 14729, 792, 314, 271, 8079, 1341, 703, 17635, 14729, 792, 314, 272, 8079, 1341, 703, 17635, 14729, 792, 314, 273, 8079, 1341, 703, 17635, 14729, 792, 314, 274, 7481, 5632, 322, 23544, 14729, 792, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 14729, 792, 11723, 5632, 322, 23544, 318, 24629, 815, 703, 17635, 318, 24629, 314, 271, 8079, 1341, 703, 17635, 318, 24629, 314, 272, 20285, 5632, 322, 23544, 318, 1485, 815, 703, 17635, 318, 1485, 314, 271, 8079, 1341, 703, 17635, 318, 1485, 314, 272, 20285, 2181, 318, 5632, 322, 23544, 4671, 4973, 815, 703, 263, 5632, 322, 23544, 14729, 792, 264, 1341, 703, 263, 5632, 322, 23544, 318, 24629, 264, 1341, 703, 263, 5632, 322, 23544, 318, 1485, 2020, 604, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 1556, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 2420, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 3451, 264, 610, 630, 2181, 318, 5632, 322, 23544, 4671, 4973, 2652, 476, 4510, 2187, 825, 4332, 24449, 12299, 8548, 2120, 815, 6936, 454, 825, 4332, 24449, 12299, 8548, 2120, 19056, 815, 840, 318, 5632, 322, 23544, 4671, 4973, 454, 825, 4332, 24449, 12299, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 4973, 4917, 12828, 912, 825, 4332, 24449, 12299, 8548, 2120, 815, 8771, 454, 825, 4332, 24449, 12299, 8548, 2120, 19056, 815, 8771, 454, 825, 4332, 24449, 12299, 815, 7857, 13765, 19304, 263, 2181, 318, 5632, 322, 23544, 4671, 4973, 11723, 692, 258, 2411, 19567, 258, 11243, 3403, 454, 258, 2012, 318, 18782, 815, 3403, 2891, 292, 18285, 8913, 9930, 3691, 1264, 1729, 635, 334, 3284, 732, 576, 679, 8913, 7373, 549, 3540, 281, 834, 2020, 258, 24342, 454, 2745, 4590, 2745, 2891, 734, 28088, 15606, 632, 5077, 320, 4534, 5602, 2745, 6600, 257, 8256, 738, 320, 1483, 714, 3385, 1714, 546, 17144, 281, 2715, 339, 3736, 5091, 622, 348, 5602, 2745, 4590, 2745, 6600, 257, 307, 340, 905, 15939, 632, 562, 659, 574, 1304, 334, 1965, 2715, 19689, 5091, 622, 348, 5602, 2745, 6600, 257, 291, 17144, 632, 3288, 5033, 3570, 24140, 18372, 562, 659, 626, 324, 281, 2715, 25346, 342, 10734, 9500, 5091, 622, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 589, 25123, 2715, 341, 14729, 792, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 8544, 2715, 341, 318, 24629, 348, 5602, 258, 1820, 6600, 257, 14818, 632, 546, 17144, 2715, 341, 318, 1485, 348, 5602, 2745, 4590, 2745, 6600, 21202, 25123, 1487, 322, 18480, 281, 2715, 2181, 318, 5632, 322, 23544, 14729, 792, 348, 5602, 2745, 6600, 257, 301, 14243, 1067, 334, 632, 589, 25123, 281, 2715, 5632, 322, 23544, 14729, 792, 348, 5602, 2745 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 305, 1678, 1523, 814, 8810, 547, 581, 7925, 547, 12879, 267, 543, 3573, 1382, 814, 1044, 13991, 547, 7114, 7301, 569, 1102, 3836, 8525, 305, 1678, 543, 2081, 547, 11716, 6402, 689, 6054, 609, 7301, 569, 1102, 3836, 8525, 305, 1678, 14325, 1103, 1880, 267, 630, 9895, 328, 268, 264, 743, 2216, 2950, 2099, 513, 1966, 269, 13017, 325, 15767, 568, 519, 1292, 1383, 269, 4746, 267, 2516, 540, 20730, 723, 513, 2603, 6402, 547, 1142, 824, 267, 855, 1360, 1906, 6402, 547, 519, 1964, 540, 519, 1357, 269, 634, 3390, 568, 602, 2899, 519, 4351, 1147, 2536, 4991, 883, 835, 540, 971, 2950, 646, 666, 1406, 1205, 856, 267, 4946, 811, 543, 811, 547, 519, 2146, 779, 8525, 305, 1678, 780, 23804, 971, 2950, 540, 1357, 3817, 267, 952, 789, 2119, 547, 2057, 7020, 267, 568, 606, 26128, 3620, 731, 1966, 630, 1348, 968, 14551, 26158, 634, 2626, 689, 5616, 543, 1866, 568, 547, 2308, 5728, 646, 584, 2524, 602, 2697, 891, 2950, 543, 1287, 10336, 1125, 741, 8525, 305, 1678, 780, 763, 1267, 568, 3875, 7301, 1064, 14476, 602, 10413, 16048, 4609, 543, 7301, 2258, 2510, 602, 7584, 3095, 325, 15767, 2362, 538, 519, 3406, 2164, 269, 769, 1840, 267, 519, 9658, 1097, 543, 519, 3586, 17408, 1136, 1118, 519, 4220, 30313, 720, 762, 585, 1357, 2861, 4213, 269, 898, 779, 513, 3190, 780, 2414, 17412, 267, 713, 568, 519, 5311, 540, 2621, 1384, 1892, 519, 3355, 2203, 7472, 2495, 1652, 2164, 3248, 1892, 789, 2097, 909, 609, 606, 740, 554, 665, 4368, 3248, 1892, 519, 2203, 568, 1869, 28879, 3983, 3248, 1892, 519, 2203, 3587, 8789, 20866, 3248, 1892, 1631, 649, 2461, 782, 3458, 14954, 780, 2467, 786, 2141, 581, 3983, 2979, 856, 972, 269, 1548, 2306, 713, 513, 1483, 705, 558, 1588, 568, 519, 9588, 540, 519, 1966, 267, 1775, 4318, 1421, 5616, 269, 1306, 513, 22301, 594, 1265, 621, 23892, 602, 835, 4062, 540, 3983, 6128, 5540, 1175, 827, 1169, 5769, 3593, 538, 519, 1158, 780, 12441, 594, 17854, 519, 10792, 1893, 602, 594, 1031, 1934, 286, 1411, 3580, 581, 519, 9794, 540, 602, 780, 19602, 1018, 568, 519, 1318, 1259, 540, 20823, 4609, 1759, 593, 6402, 286, 594, 3580, 2328, 513, 2022, 827, 602, 538, 519, 2282, 2104, 269, 10374, 4528, 281, 4894, 782, 968, 31260, 892, 780, 1607, 568, 606, 21626, 689, 513, 3476, 2376, 827, 8525, 305, 1678, 780, 10287, 13522, 281, 1934, 543, 1934, 780, 1012, 2904, 476, 2641, 267, 476, 1001, 272, 692, 2162, 1677, 7390, 5843, 18183, 538, 20098, 30988, 692, 293, 6150, 896, 281, 3377, 2443, 8834, 15223, 767, 773, 341, 7711, 476, 279, 281, 6812, 10681, 692, 19859, 18183, 786, 581, 4371, 538, 20098, 30988, 4873, 476, 277, 628, 543, 476, 278, 628, 269, 898, 568, 968, 325, 21682, 593, 1582, 30845, 30596, 543, 2582, 13653, 3301, 3549, 6100, 594, 4076, 2760, 1044, 547, 513, 10554, 899, 602, 267, 1775, 4318, 1421, 1875, 14092, 27854, 267, 543, 519, 1592, 540, 10529, 5654, 1360, 11141, 780, 2252, 596, 1544, 547, 7390, 543, 1616, 547, 10004, 267, 4757, 803, 269, 0, 4910, 1545, 28562, 609, 281, 19456, 23768, 262, 11532, 692, 23742, 614, 676, 281, 12474, 1826, 912, 21848, 2039, 912, 20806, 3188, 1377, 1384, 2467, 616, 476, 4037, 2164, 692, 289, 5802, 11762, 3436, 19456, 23768, 543, 26344, 5852, 3436, 19456, 23768, 262, 11532, 692, 763, 6196, 3619, 1846, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 14328, 2361, 814, 1079, 9708, 609, 513, 8258, 593, 1283, 540, 1142, 2022, 269, 1703, 616, 1079, 29170, 14843, 727, 23161, 543, 7899, 540, 887, 6647, 799, 596, 666, 17063, 547, 741, 2458, 1513, 269, 1215, 666, 596, 5150, 873, 865, 789, 666, 1405, 269, 1547, 1547, 16317, 23871, 823, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 5723, 7374, 9128, 21203, 568, 513, 476, 274, 676, 476, 274, 676, 476, 274, 13306, 269, 8672, 623, 568, 476, 272, 270, 274, 2059, 9474, 630, 7474, 568, 6673, 2433, 623, 289, 815, 476, 272, 2433, 476, 273, 1070, 1448, 1627, 568, 476, 272, 270, 274, 2059, 23435, 543, 1448, 681, 568, 476, 272, 270, 274, 2059, 11581, 269, 1548, 568, 519, 1858, 540, 519, 6906, 623, 304, 305, 2496, 26574, 344, 9046, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 763, 6516, 2982, 513, 1360, 5230, 10051, 22277, 269, 898, 3112, 581, 24850, 855, 621, 666, 581, 9187, 6838, 1472, 513, 7944, 269, 634, 4305, 568, 547, 1847, 621, 267, 1510, 23510, 267, 538, 513, 3126, 540, 7140, 827, 519, 15174, 865, 602, 621, 269, 1547, 1547, 16317, 29493, 1154, 513, 28116, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 3368, 2275, 4209, 568, 2759, 883, 1079, 4773, 676, 513, 7077, 998, 519, 1279, 15497, 543, 693, 1318, 7285, 547, 621, 269, 2052, 596, 2721, 513, 2121, 540, 891, 4773, 286, 3657, 789, 9838, 2496, 288, 932, 1800, 569, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 8340, 519, 1858, 540, 519, 3045, 15252, 538, 2474, 540, 519, 3259, 540, 519, 16147, 799, 568, 17242, 547, 519, 6418, 5858, 780, 307, 559, 1540, 8293, 4100, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 2005, 781, 2653, 547, 960, 856, 519, 2127, 540, 1034, 10945, 602, 649, 2743, 267, 855, 1018, 952, 789, 941, 21266, 1540, 2496, 300, 2660, 540, 17361, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 19456, 23768, 262, 14497, 1210, 23822, 906, 543, 4336, 2188, 780, 303, 732, 336, 2836, 322, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 31590, 4120, 13235, 568, 606, 31164, 6906, 609, 1614, 6252, 3515, 2469, 998, 519, 14622, 269, 12433, 519, 3259, 540, 519, 5011, 540, 519, 6906, 952, 519, 13902, 9883, 1063, 519, 6252, 269, 1547, 1547, 16317, 763, 30346, 541, 540, 932, 3930, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 306, 2438, 597, 3380, 616, 6537, 593, 519, 5011, 540, 513, 13551, 269, 28171, 602, 519, 2040, 540, 519, 2127, 540, 519, 2185, 524, 637, 30105, 568, 3160, 547, 519, 1858, 540, 519, 13551, 780, 305, 895, 543, 18471, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 3682, 557, 602, 519, 26484, 1858, 540, 519, 12931, 22511, 568, 3160, 547, 519, 1858, 540, 519, 6418, 5858, 780, 3674, 30801, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 3682, 557, 602, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 277, 814, 519, 1482, 1858, 607, 513, 6906, 609, 5011, 540, 3259, 476, 276, 267, 476, 276, 543, 476, 279, 269, 4855, 824, 8424, 540, 1875, 2275, 784, 745, 550, 568, 30801, 12730, 799, 723, 3160, 2127, 780, 294, 31678, 590, 1117, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 4692, 596, 6922, 1047, 519, 2179, 540, 3574, 2877, 547, 1628, 519, 8122, 540, 1250, 4677, 8774, 2496, 306, 655, 328, 30026, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 568, 519, 5223, 540, 519, 1858, 540, 513, 4009, 27485, 538, 513, 12931, 22511, 547, 519, 1858, 540, 519, 4009, 27485, 538, 519, 3003, 5858, 2496, 307, 559, 1154, 10222, 9201, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 1318, 268, 22931, 568, 30801, 6906, 568, 29352, 827, 519, 8998, 1448, 540, 513, 4009, 269, 1548, 666, 596, 2161, 827, 519, 1858, 540, 519, 851, 540, 519, 4009, 4988, 676, 519, 6906, 607, 621, 29226, 2496, 303, 17233, 17671, 10222, 1255, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 1692, 1082, 1318, 268, 22931, 12730, 616, 972, 609, 5011, 602, 616, 782, 9981, 1447, 982, 476, 1911, 4559, 2496, 1103, 513, 1975, 514, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 1432, 568, 519, 4320, 540, 519, 4396, 4646, 676, 15914, 713, 1318, 2587, 1194, 6906, 827, 519, 30494, 2496, 290, 22511, 13340, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2005, 568, 6654, 602, 649, 666, 3514, 2185, 10580, 540, 8006, 476, 272, 1770, 538, 513, 4009, 540, 2427, 476, 273, 1510, 20718, 269, 1548, 568, 519, 10545, 4009, 883, 799, 649, 666, 3514, 476, 274, 10580, 540, 8006, 476, 272, 1770, 2496, 306, 638, 2130, 519, 17781, 543, 19449, 743, 532, 519, 12384, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2252, 596, 3136, 519, 4806, 267, 666, 596, 3589, 1018, 1142, 540, 519, 1739, 2127, 786, 581, 286, 8347, 547, 2491, 707, 12605, 780, 305, 327, 4861, 639, 538, 25351, 4120, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 12648, 1022, 13551, 13235, 291, 971, 602, 9474, 3436, 7460, 269, 634, 1448, 623, 568, 593, 9474, 543, 1627, 568, 593, 7131, 269, 8058, 602, 972, 568, 4010, 835, 2990, 540, 623, 543, 1627, 971, 602, 6673, 290, 304, 568, 513, 32077, 639, 780, 301, 823, 569, 5381, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 2252, 519, 30494, 630, 19668, 264, 3259, 568, 476, 1911, 9492, 543, 952, 606, 3063, 1899, 10943, 1080, 519, 3490, 883, 476, 3607, 9492, 543, 476, 5038, 9492, 2694, 267, 1018, 941, 519, 2427, 13080, 585, 519, 3312, 1318, 268, 22931, 6906, 2496, 16248, 9050, 12866, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 10521, 10859, 2275, 597, 3380, 630, 26421, 540, 8953, 476, 272, 270, 273, 264, 5905, 1142, 824, 267, 543, 513, 10859, 2275, 22511, 540, 8953, 476, 272, 18953, 1312, 540, 873, 269, 4855, 519, 8953, 540, 519, 5858, 799, 18953, 782, 1614, 10859, 2275, 597, 3380, 780, 306, 13645, 623, 1122, 338, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 7617, 568, 513, 1732, 3514, 267, 513, 4009, 890, 326, 538, 513, 5180, 8559, 610, 513, 5180, 890, 326, 538, 513, 4009, 8559, 2496, 306, 638, 268, 732, 553, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 16248, 10945, 616, 6537, 593, 519, 5011, 540, 513, 6906, 13235, 269, 4256, 2127, 616, 6606, 476, 1240, 476, 1822, 267, 476, 736, 476, 1822, 543, 476, 2918, 476, 1822, 4009, 1298, 22015, 637, 269, 1403, 519, 9018, 14622, 540, 519, 10945, 616, 8678, 267, 1614, 811, 269, 1547, 1547, 16317, 303, 17233, 23768, 692, 21848, 476, 278, 547, 476, 1691, 692, 303, 17233, 23768, 540, 6341, 657, 729, 513, 5259, 14544, 945, 5030, 689, 827, 476, 276, 3199, 7460, 547, 827, 476, 4335, 7460, 269, 4855, 856, 827, 519, 1271, 7835, 646, 1500, 538, 6128, 267, 17651, 267, 543, 519, 3069, 540, 2575, 780, 293, 5979, 1819, 692, 21848, 476, 1556, 547, 476, 1691, 7420, 5426, 1384, 288, 6989, 568, 4988, 676, 513, 512, 525, 8688, 566, 540, 31164, 12730, 267, 1142, 2348, 1614, 3160, 9095, 338, 3330, 621, 269, 1548, 8167, 540, 519, 1858, 540, 519, 512, 525, 8688, 566, 568, 26484, 2496, 30537, 996, 698, 23768, 262, 14497, 692, 21848, 476, 278, 547, 476, 1691, 692, 30537, 996, 698, 23768, 267, 19456, 23768, 262, 23013, 630, 256, 1070, 729, 23279, 540, 19456, 23768, 543, 3357, 909, 609, 1010, 1378, 11532, 269, 3367, 713, 2376, 547, 1265, 856, 1946, 824, 22697, 561, 13774, 1117, 693, 1864, 780, 30252, 717, 5074, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 8340, 519, 5223, 540, 519, 9018, 26484, 1858, 547, 519, 6418, 1858, 585, 513, 3670, 11329, 5182, 543, 606, 5216, 11329, 5182, 780, 5472, 570, 1221, 5455, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 26781, 8255, 1472, 513, 4216, 865, 602, 621, 2306, 513, 2347, 8520, 609, 1079, 6252, 4773, 540, 26781, 593, 519, 1283, 269, 1215, 1279, 786, 519, 26781, 581, 2496, 16248, 10699, 525, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 4692, 596, 960, 856, 519, 7516, 540, 519, 1614, 18695, 2496, 293, 9231, 769, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 763, 4102, 4009, 799, 13352, 883, 513, 5858, 568, 13235, 291, 543, 31246, 21203, 568, 513, 4009, 609, 717, 543, 670, 593, 519, 1899, 7131, 543, 661, 543, 674, 593, 519, 18592, 540, 519, 5858, 269, 8058, 602, 9474, 815, 476, 276, 9128, 269, 6684, 519, 4102, 269, 1547, 1547, 16317, 763, 30064, 543, 519, 26850, 692, 21848, 476, 1691, 547, 476, 1626, 7420, 5426, 1384, 288, 17178, 568, 9361, 538, 519, 1647, 540, 835, 540, 519, 10545 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1315, 286, 330, 337, 11631, 6390, 286, 32551, 5177, 2296, 1315, 286, 330, 337, 286, 6390, 286, 270, 1070, 2537, 568, 519, 2034, 4102, 543, 835, 540, 519, 9510, 4872, 538, 12996, 269, 32163, 730, 593, 519, 966, 626, 3121, 5211, 630, 21691, 880, 281, 12598, 22119, 320, 264, 538, 519, 10815, 518, 12996, 3148, 267, 519, 2749, 7389, 1394, 547, 519, 476, 278, 628, 2540, 269, 275, 918, 21531, 6759, 342, 814, 12926, 1044, 835, 540, 519, 3056, 18013, 540, 14470, 4081, 267, 2686, 267, 543, 7499, 1272, 543, 568, 835, 540, 12996, 781, 1034, 1271, 2804, 32387, 269, 898, 729, 519, 3854, 540, 519, 22477, 540, 519, 8003, 540, 12996, 689, 476, 9818, 279, 547, 476, 14444, 280, 282, 519, 14470, 286, 299, 603, 10224, 1014, 20448, 689, 476, 14444, 280, 547, 476, 14689, 277, 282, 276, 519, 5131, 4975, 540, 918, 21531, 6759, 342, 689, 476, 8687, 276, 547, 476, 7277, 277, 282, 519, 9835, 667, 1276, 344, 540, 595, 2350, 578, 689, 476, 7277, 277, 547, 476, 4489, 279, 282, 543, 918, 21531, 6759, 342, 27215, 643, 3941, 1222, 689, 519, 476, 1691, 628, 2540, 547, 476, 1960, 279, 269, 898, 814, 1044, 519, 3854, 540, 10815, 518, 12996, 27215, 643, 3941, 1222, 2094, 476, 1960, 280, 563, 763, 2749, 814, 6738, 689, 513, 12942, 6520, 11175, 547, 12996, 781, 2034, 1034, 1271, 2749, 269, 898, 3459, 607, 513, 18296, 593, 654, 1177, 601, 10830, 543, 729, 2907, 1373, 4080, 607, 513, 11112, 9467, 8998, 540, 23577, 4577, 2342, 538, 476, 280, 4792, 269, 275, 2060, 519, 10661, 540, 1007, 9945, 543, 2686, 28503, 693, 519, 11944, 540, 519, 5822, 14470, 6243, 538, 476, 4489, 279, 543, 2429, 519, 476, 736, 628, 2540, 267, 918, 21531, 6759, 342, 556, 3530, 3305, 539, 922, 1909, 607, 513, 2101, 3084, 4081, 543, 7499, 8998, 563, 26903, 538, 12996, 454, 1103, 12996, 267, 649, 1265, 513, 2603, 540, 4609, 602, 616, 10694, 689, 519, 2825, 1448, 540, 2070, 269, 24511, 267, 538, 1142, 11662, 649, 666, 1265, 1100, 1966, 3148, 267, 799, 568, 4502, 513, 3643, 1175, 585, 602, 2601, 269, 15742, 569, 519, 1034, 10694, 538, 2474, 540, 2067, 4025, 267, 543, 849, 519, 1034, 4749, 6074, 676, 14666, 4525, 616, 10239, 269, 634, 5207, 10239, 538, 14470, 568, 513, 1747, 1141, 596, 666, 2731, 6001, 267, 543, 676, 519, 1259, 849, 547, 1451, 827, 519, 2199, 7320, 269, 2986, 1576, 267, 12996, 568, 4502, 513, 3643, 849, 538, 824, 14470, 4525, 281, 8037, 267, 585, 1383, 645, 658, 578, 773, 5633, 11206, 543, 21746, 269, 634, 4262, 849, 1265, 2189, 2067, 4525, 602, 616, 4502, 7487, 563, 763, 1034, 10694, 29990, 4525, 14470, 454, 3849, 4784, 569, 267, 519, 10923, 14470, 1500, 602, 713, 568, 2731, 513, 1360, 10694, 15805, 10278, 269, 769, 519, 2013, 540, 7823, 9832, 649, 666, 7747, 1934, 513, 2603, 540, 1360, 1114, 6173, 725, 269, 901, 568, 17216, 513, 5458, 10697, 269, 15742, 569, 835, 540, 519, 1034, 10272, 7823, 9832, 538, 12996, 568, 519, 570, 520, 6652, 269, 634, 5207, 10239, 538, 12996, 15673, 721, 711, 1152, 5863, 5784, 267, 855, 1657, 782, 2189, 2470, 269, 4746, 4502, 513, 3643, 538, 519, 645, 625, 345, 322, 345, 8014, 15142, 543, 519, 26449, 269, 769, 12996, 267, 649, 1265, 1082, 824, 7823, 9832, 267, 782, 540, 799, 616, 17709, 540, 3007, 267, 585, 1383, 267, 519, 10513, 9061, 15142, 543, 7305, 15142, 269, 674, 753, 540, 1164, 268, 5306, 3363, 15143, 616, 4061, 538, 12996, 1082, 7399, 585, 707, 16314, 269, 0, 298, 26234, 17795, 4016, 547, 8840, 610, 25305, 540, 1022, 540, 519, 2694, 540, 5642, 3238, 538, 519, 4745, 3294, 269, 634, 7633, 540, 12597, 1331, 1273, 7578, 267, 3185, 584, 267, 4017, 3121, 543, 512, 28992, 563, 290, 1021, 281, 22484, 10758, 1286, 10913, 10758, 5026, 2238, 10758, 1463, 5734, 547, 519, 12597, 563, 21618, 281, 10266, 267, 11926, 267, 22775, 640, 267, 20015, 2358, 543, 31926, 540, 519, 4745, 267, 17418, 547, 2322, 2597, 593, 519, 1850, 267, 8373, 19755, 543, 3001, 519, 12597, 2059, 609, 22775, 640, 543, 1989, 908, 4743, 689, 519, 4745, 563, 12812, 1934, 585, 12597, 17795, 5574, 269, 0, 4131, 779, 1404, 2262, 7681, 269, 1879, 596, 5873, 519, 2262, 968, 325, 2426, 639, 2223, 1018, 798, 596, 1589, 540, 286, 631, 2313, 3336, 16741, 286, 2334, 942, 596, 1185, 19002, 779, 3723, 286, 1403, 649, 5129, 713, 3014, 609, 513, 3037, 10196, 267, 646, 1131, 4440, 12837, 267, 1317, 547, 1864, 267, 519, 2262, 968, 325, 2426, 639, 892, 1797, 2635, 267, 3039, 267, 3395, 2371, 563, 2005, 779, 513, 1880, 1362, 540, 13271, 646, 8910, 581, 3206, 540, 267, 1572, 1250, 14585, 9071, 714, 2801, 267, 689, 519, 5259, 2262, 2495, 968, 325, 2426, 639, 270, 23085, 6100, 968, 7069, 14585, 9071, 714, 531, 17343, 568, 519, 1034, 1271, 11248, 1336, 538, 3037, 267, 543, 621, 779, 1044, 972, 585, 7366, 540, 6634, 540, 1296, 2223, 1767, 570, 1370, 670, 1066, 334, 267, 8225, 6455, 9614, 585, 10566, 289, 270, 19723, 11276, 565, 267, 513, 28025, 24804, 13564, 10706, 540, 661, 12509, 6944, 1503, 7922, 1678, 564, 2593, 267, 5549, 1421, 2212, 32483, 1229, 538, 5211, 2023, 267, 31671, 20899, 267, 4516, 563, 8072, 293, 2426, 639, 685, 568, 711, 1175, 1776, 2262, 585, 13226, 269, 968, 293, 23459, 9088, 616, 5567, 267, 899, 9436, 630, 301, 1070, 16903, 630, 303, 1070, 543, 11379, 630, 298, 1070, 519, 715, 6261, 11860, 1297, 593, 519, 9126, 2223, 1767, 7917, 3026, 573, 1069, 9807, 267, 12854, 267, 8689, 267, 3037, 543, 2030, 2257, 693, 4591, 1146, 1460, 267, 513, 3037, 17203, 10672, 1759, 538, 3794, 523, 24759, 267, 12425, 563, 10527, 715, 267, 623, 543, 918, 616, 519, 16931, 3114, 2609, 602, 616, 1031, 547, 1332, 2371, 282, 2371, 3112, 1332, 1510, 873, 3034, 28490, 596, 4076, 3893, 4057, 3037, 609, 1360, 2370, 9436, 610, 1022, 824, 5567, 538, 621, 267, 543, 1100, 1250, 14585, 9071, 714, 2801, 543, 4551, 2901, 267, 596, 723, 547, 4137, 856, 513, 1259, 547, 1039, 873, 1394, 538, 267, 610, 707, 2371, 1175, 4465, 1406, 798, 1360, 1134, 2223, 1767, 667, 12447, 29430, 267, 8227, 543, 16628, 540, 29430, 10281, 668, 592, 577, 543, 1530, 5338, 267, 20941, 267, 654, 2643, 773, 267, 7147, 269, 968, 5445, 1522, 1332, 267, 855, 789, 3580, 1413, 7210, 3034, 2108, 7069, 14585, 9071, 714, 2801, 543, 4551, 957, 607, 22763, 585, 519, 3037, 2223, 3026, 573, 1069, 9807, 3081, 269, 968, 5445, 2461, 14471, 602, 2291, 538, 7681, 609, 2371, 543, 948, 873, 1599, 267, 16116, 909, 5567, 543, 7509, 585, 873, 269, 1358, 5749, 1406, 18168, 267, 607, 789, 5749, 1406, 6464, 282, 789, 2461, 4890, 267, 2713, 7103, 1848, 769, 824, 1913, 267, 1250, 14585, 9071, 714, 2801, 957, 607, 968, 293, 23459, 6500, 6435, 619, 2223, 8744, 519, 5567, 538, 519, 13226, 1318, 547, 519, 2371, 685, 5072, 563, 7069, 14585, 9071, 714, 531, 13271, 568, 1100, 3774, 17810, 282, 621, 4991, 1472, 267, 9591, 513, 1623, 25027, 2078, 609, 519, 5072, 540, 1175, 827, 1169, 2030, 593, 3047, 267, 1519, 21823, 267, 9274, 267, 5810, 543, 4054, 563, 2467, 616, 1079, 1292, 6688, 540, 1250, 14585, 9071, 714, 2801, 281, 1439, 3912, 14585, 9071, 714, 2801, 543, 28341, 3912, 14585, 9071, 714, 2801, 269, 898, 779, 5363, 547, 3314, 602, 519, 18772, 968, 754, 334, 892, 1797, 3330, 267, 543, 968, 624, 334, 892, 1797, 3544, 563, 10527, 1439, 3912, 14585, 9071, 714, 2801, 12777, 8936, 2933, 547, 519, 5072, 267, 23309, 1591, 6821, 267, 543, 1831, 835, 609, 519, 5072, 2223, 1767, 3026, 573, 1069, 9807, 269, 968, 763, 28341, 3912, 14585, 9071, 714, 2801, 1175, 2186, 540, 2482, 909, 1985, 547, 519, 5072, 267, 4947, 883, 1360, 2673, 16133, 267, 855, 1810, 1406, 8936, 2933, 3034, 8170, 519, 1079, 5716, 267, 1439, 3912, 14585, 9071, 714, 2801, 568, 676, 2484, 519, 1034, 2442, 269, 968, 7343, 6918, 2954, 476, 3199, 547, 476, 3445, 2600, 540, 782, 2371, 538, 519, 1158, 1106, 1623, 25027, 3347, 609, 621, 2223, 1767, 670, 1066, 334, 269, 1452, 1331, 513, 2647, 3099, 540, 3039, 267, 21364, 2371, 543, 16916, 21823, 267, 607, 1134, 607, 1082, 3819, 1633, 267, 26868, 267, 12748, 543, 18009, 4115, 2249, 267, 1818, 1439, 3912, 14585, 9071, 714, 2801, 4105, 547, 1312, 8511, 25210, 543, 519, 11761, 543, 11159, 1852, 2872, 563, 295, 1066, 334, 4797, 267, 968, 292, 551, 3912, 14585, 9071, 714, 2801, 267, 593, 519, 824, 1688, 267, 3029, 1623, 25027, 3347, 609, 1152, 827, 2947, 2600, 540, 782, 519, 2371, 538, 519, 1158, 269, 1452, 616, 5631, 3529, 2249, 267, 1519, 12566, 267, 838, 16078, 267, 535, 597, 267, 543, 2182, 6229, 338, 971, 607, 18073, 543, 2840, 577, 267, 1818, 713, 7121, 540, 1250, 14585, 9071, 714, 2801, 4105, 547, 519, 26216, 2872, 269, 2368, 20749, 1271, 2030, 2249, 849, 4324, 689, 3095, 720, 609, 28341, 3912, 14585, 9071, 714, 2801, 3034, 5522, 1218, 991, 1614, 1919, 547, 7639, 281, 7943, 267, 1216, 543, 5567, 269, 3733, 14585, 9071, 714, 2801, 3252, 607, 513, 6765, 1062, 585, 519, 8545, 1079, 269, 634, 2371, 543, 519, 13271, 960, 1927, 607, 513, 2582, 267, 8647, 1770, 269, 968, 763, 2371, 1685, 15591, 1657, 519, 2666, 267, 1247, 519, 1250, 14585, 9071, 714, 2801, 3935, 1125, 519, 5072, 2630, 519, 2666, 2223, 670, 1066, 334, 1767, 269, 968, 5445, 6494, 741, 6263, 2083, 14613, 2484, 856, 883, 519, 3037, 2223, 1134, 3564, 519, 5072, 789, 4076, 32519, 563, 5278, 1623, 25027, 3347, 538, 2470, 4324, 835, 540, 519, 7649, 2249, 1454, 811, 982, 519, 824, 835, 269, 1809, 519, 2030, 2173, 344, 14585, 9071, 714, 531, 13271, 1606, 2096, 6798, 2670, 568, 606, 3160, 9769, 602, 1312, 5011, 4324, 689, 7494, 563, 2026, 519, 2083, 14613, 1332, 543, 12701, 856, 267, 789, 13789, 899, 4108, 11028, 18590, 2695, 6758, 267, 10647, 30908, 19707, 585, 1216, 543, 5567, 936, 513, 1804, 11895, 1858, 269, 4495, 519, 1216, 543, 5567, 616, 1336, 267, 519, 2083, 14613, 3560, 873, 2047, 1394, 547, 519, 5072, 540, 519, 2371, 269, 769, 2132, 267, 519, 2371, 267, 998, 15591, 267, 8007, 519, 1250, 14585, 9071, 714, 2801, 609, 519, 7280, 621, 2115, 547, 8853, 563, 2690, 2371, 267, 519, 2101, 5413, 540, 713, 2078, 568, 606, 8476, 3761, 540, 2139, 5567, 267, 1519, 3327, 267, 11379, 267, 16903, 543, 9436, 269, 1358, 849, 1205, 513, 5488, 19718, 540, 6886, 971, 607, 7513, 267, 7601, 267, 4401, 543, 13058, 267, 543, 538, 3152, 5666, 267, 982, 1131, 7363, 723, 1044, 2139, 547, 741, 5072, 563, 10527, 4527, 540, 1250, 14585, 9071, 714, 2801, 849, 3947, 2371, 606, 2799, 10892, 547, 8801, 3037, 2175, 2223, 1767, 670, 1066, 334, 269, 968, 763, 2371, 666, 3136, 547, 1332, 543, 798, 1454, 1732, 982, 789, 1131, 1510, 519, 13271, 779, 948, 267, 1256, 538, 28811, 267, 8770, 12413, 17087, 11934, 267, 610, 11934, 609, 2539, 31032, 268, 728, 531, 9063, 543, 2362, 31032, 268, 728, 531, 3037, 5210, 269, 12518, 723, 1732, 3597, 5250, 267, 7864, 3597, 3676, 543, 3037, 1790, 652, 2042, 543, 2154, 1447, 13226, 950, 1250, 14585, 9071, 714, 2801, 616, 1472, 3034, 5445, 849, 991, 1447, 1216, 269, 634, 2083, 14613, 519, 13271, 15920, 856, 723, 519, 2702, 547, 1491, 909, 7509, 689, 1454, 4514, 538, 519, 3037, 267, 3564, 519, 3914, 540, 519, 2030, 779, 5072, 269, 634, 13271, 3294, 3085, 1406, 991, 1454, 1216, 267, 855, 922, 2083, 14613, 786, 3136, 5275, 621, 585, 519, 19160, 540, 519, 2371, 267, 7175, 873, 547, 7639, 538, 3871, 602, 1131, 6382, 6146, 873, 563, 763, 2083, 14613, 723, 1776, 1271, 1599, 267, 3226, 2565, 538, 11761, 20820, 3156, 269, 6056, 540, 873, 607, 5215, 540, 6263, 11263, 8066, 519, 3037, 5536, 1927, 267, 3976, 4227, 519, 1761, 585, 2417, 11761, 563, 7069, 14585, 9071, 714, 2801, 616, 1256, 811, 4105, 950, 8652, 572, 5338, 936, 9553, 2766, 902, 610, 824, 5449, 4853, 4609, 269, 968, 22746, 4238, 1419, 4734, 3297, 2244, 13572, 609, 1164, 2157, 540, 5230, 8407, 267, 1519, 19695, 267, 13058, 267, 1291, 267, 11956, 267, 4401, 543, 20017, 26606, 2223, 1767, 670, 1066, 334, 269, 968, 4322, 5230, 8407, 949, 1860, 3037, 9063, 607, 1134, 607, 8770, 15203, 543, 10688, 3034, 2026, 513, 1267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3451, 269, 9612, 538, 5616, 10104, 454, 10711, 269, 645, 269, 700, 3326, 267, 808, 269, 918, 1716, 267, 654, 269, 15223, 10152, 267, 589, 269, 2098, 1735, 328, 267, 808, 269, 645, 625, 328, 611, 6390, 267, 7186, 476, 275, 4343, 630, 1220, 276, 264, 476, 10441, 271, 269, 9612, 538, 5616, 10104, 454, 14225, 269, 808, 269, 918, 1716, 267, 681, 269, 932, 2660, 329, 2465, 267, 594, 269, 667, 269, 8479, 267, 674, 269, 667, 269, 9509, 518, 267, 700, 269, 700, 817, 4150, 267, 631, 269, 594, 3630, 29538, 267, 590, 269, 717, 592, 267, 570, 269, 2605, 753, 5459, 267, 589, 269, 590, 269, 30179, 3122, 267, 681, 269, 1325, 517, 810, 2173, 9461, 267, 681, 269, 26036, 572, 514, 267, 631, 269, 18681, 267, 700, 269, 667, 1926, 527, 267, 595, 269, 667, 269, 700, 747, 1084, 6199, 267, 631, 269, 670, 269, 4258, 1695, 267, 667, 269, 2701, 767, 320, 267, 808, 269, 654, 619, 580, 267, 594, 269, 1530, 340, 1068, 267, 667, 269, 590, 758, 31730, 267, 661, 269, 12815, 528, 267, 595, 269, 654, 2287, 518, 267, 570, 269, 918, 2651, 267, 681, 269, 717, 269, 23683, 267, 623, 269, 2353, 518, 267, 589, 269, 1809, 787, 333, 267, 589, 269, 631, 269, 2107, 6807, 267, 631, 269, 9149, 836, 267, 808, 269, 631, 269, 4591, 2023, 267, 589, 269, 15506, 344, 4157, 267, 808, 269, 661, 269, 918, 690, 4802, 267, 590, 269, 2961, 321, 26953, 267, 590, 269, 645, 719, 564, 267, 654, 269, 715, 580, 601, 267, 670, 269, 667, 984, 31990, 267, 623, 269, 667, 269, 17566, 267, 772, 269, 19161, 10458, 267, 715, 269, 918, 269, 590, 2246, 518, 267, 589, 269, 2098, 1735, 328, 267, 808, 269, 11619, 5424, 267, 808, 269, 962, 8457, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 7186, 476, 6321, 274, 630, 1001, 279, 264, 476, 275, 2641, 269, 9612, 538, 5616, 10104, 454, 13078, 269, 670, 269, 645, 7776, 267, 681, 269, 700, 269, 22210, 777, 267, 13571, 269, 7233, 2233, 269, 476, 278, 630, 1001, 277, 264, 476, 276, 4281, 269, 9612, 538, 5616, 10104, 454, 18684, 269, 808, 269, 11619, 5424, 267, 808, 269, 670, 269, 7605, 1076, 324, 267, 772, 269, 19161, 10458, 267, 595, 269, 22513, 663, 14162, 267, 623, 269, 3794, 28739, 601, 267, 670, 269, 966, 1170, 518, 267, 681, 269, 631, 269, 28037, 1723, 267, 918, 269, 700, 269, 5062, 325, 22611, 2033, 267, 661, 269, 13852, 659, 577, 1470, 267, 590, 269, 589, 269, 623, 714, 541, 549, 267, 590, 269, 623, 269, 15434, 1067, 267, 918, 269, 590, 21516, 267, 631, 269, 623, 269, 21890, 514, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 700, 269, 20588, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 11277, 630, 1220, 272, 264, 476, 278, 3199, 275, 269, 9612, 538, 5616, 10104, 454, 21709, 269, 631, 269, 590, 32256, 267, 674, 269, 13019, 7534, 267, 631, 269, 590, 1872, 1695, 4673, 267, 631, 269, 918, 889, 334, 267, 962, 269, 26981, 1690, 9874, 267, 570, 269, 26981, 2033, 267, 918, 269, 26232, 1662, 7534, 267, 962, 269, 772, 5443, 320, 267, 631, 269, 26981, 629, 599, 20076, 267, 570, 269, 26232, 2033, 267, 570, 269, 26981, 8457, 267, 631, 269, 30554, 25431, 267, 7186, 476, 276, 6246, 630, 1001, 278, 264, 476, 14530, 269, 9612, 538, 5616, 10104, 454, 21172, 269, 717, 269, 681, 10152, 267, 16071, 2106, 628, 269, 1763, 269, 476, 10844, 630, 1220, 278, 264, 476, 2412, 278, 269, 9612, 538, 5616, 10104, 454, 20385, 269, 570, 269, 589, 269, 10162, 601, 1993, 338, 267, 654, 269, 9149, 836, 267, 631, 269, 808, 269, 4678, 25534, 267, 681, 269, 631, 269, 28037, 1723, 267, 589, 269, 7931, 335, 601, 267, 808, 269, 595, 269, 12448, 338, 267, 918, 269, 590, 21516, 267, 966, 269, 918, 269, 962, 778, 18588, 267, 631, 269, 623, 269, 21890, 514, 267, 28540, 269, 14844, 331, 269, 6298, 269, 2233, 269, 772, 2529, 6993, 476, 11152, 630, 1960, 277, 264, 476, 18357, 276, 269, 9612, 538, 5616, 10104, 454, 13975, 269, 715, 269, 30532, 267, 631, 269, 4825, 1122, 534, 267, 674, 269, 3026, 3150, 267, 667, 269, 589, 269, 23202, 1794, 529, 267, 589, 269, 645, 748, 338, 659, 267, 654, 269, 700, 889, 6308, 267, 3163, 476, 24833, 630, 1001, 275, 264, 476, 3199, 275, 269, 9612, 538, 5616, 10104, 454, 21076, 269, 670, 269, 667, 879, 267, 623, 269, 17389, 321, 27688, 267, 631, 269, 12794, 30977, 267, 4284, 269, 2480, 337, 269, 570, 12893, 630, 1220, 276, 264, 476, 279, 4510, 269, 9612, 538, 5616, 10104, 454, 18891, 269, 670, 269, 667, 879, 267, 623, 269, 17389, 321, 27688, 267, 631, 269, 12794, 30977, 267, 1323, 531, 269, 12713, 534, 531, 269, 6314, 269, 476, 4391, 277, 630, 1220, 274, 264, 476, 6321, 273, 269, 9612, 538, 5616, 10104, 454, 22659, 269, 623, 269, 17389, 321, 27688, 267, 700, 269, 594, 340, 3960, 565, 3626, 267, 808, 269, 667, 8636, 1067, 267, 631, 269, 3400, 2513, 548, 267, 570, 269, 3026, 529, 3780, 267, 4437, 17190, 476, 4510, 630, 1220, 276, 264, 476, 6245, 275, 269, 9612, 538, 5616, 10104, 454, 20969, 269, 715, 269, 5576, 3578, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 623, 269, 22216, 928, 341, 267, 717, 269, 19161, 326, 1066, 267, 631, 269, 589, 837, 331, 1495, 267, 590, 269, 853, 344, 2590, 267, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 769, 3073, 269, 6314, 269, 476, 6872, 630, 1001, 279, 264, 476, 10441, 2190, 269, 9612, 538, 5616, 10104, 454, 21497, 269, 594, 269, 2098, 1695, 541, 773, 9366, 267, 623, 269, 22216, 928, 341, 267, 717, 269, 19161, 326, 1066, 267, 631, 269, 589, 837, 331, 1495, 267, 590, 269, 853, 344, 2590, 267, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 4437, 17190, 476, 4649, 630, 1001, 277, 264, 476, 275, 866, 278, 269, 9612, 538, 5616, 10104, 454, 21327, 269, 700, 269, 594, 340, 3960, 565, 3626, 267, 808, 269, 667, 8636, 1067, 267, 654, 269, 667, 23152, 1676, 267, 654, 269, 2725, 9807, 11860, 331, 14072, 651, 267, 670, 269, 667, 879, 267, 4437, 17190, 476, 4391, 630, 1960, 279, 264, 476, 14378, 1321, 269, 9612, 538, 5616, 10104, 454, 24241, 269, 631, 269, 3400, 2513, 548, 267, 670, 269, 667, 879, 267, 12713, 577, 574, 269, 4437, 19398, 269, 2920, 320, 476, 10204, 279, 630, 1220, 276, 264, 476, 20385, 269, 9612, 538, 5616, 10104, 454, 25908, 269, 670, 269, 667, 879, 267, 631, 269, 12794, 30977, 267, 12713, 577, 574, 269, 4437, 19398, 269, 2920, 320, 476, 12293, 278, 630, 1220, 278, 264, 476, 5325, 273, 269, 9612, 538, 5616, 10104, 454, 25546, 269, 667, 269, 30781, 5451, 548, 345, 6363, 331, 2803, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 22216, 928, 341, 267, 590, 269, 10753, 657, 267, 631, 269, 15011, 13758, 328, 267, 595, 269, 17131, 638, 7236, 267, 623, 269, 918, 889, 7578, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 681, 269, 8055, 267, 670, 269, 667, 879, 267, 9815, 269, 6052, 17540, 1564, 476, 273, 630, 1001, 279, 264, 476, 2735, 277, 269, 9612, 538, 5616, 10104, 454, 13136, 269, 631, 269, 20322, 577, 267, 966, 269, 10609, 732, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 700, 269, 717, 7967, 14369, 518, 267, 623, 269, 22216, 928, 341, 267, 670, 269, 667, 879, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 14530, 630, 1220, 280, 264, 476, 7597, 274, 277, 269, 9612, 538, 5616, 10104, 454, 21854, 269, 631, 269, 20322, 577, 267, 918, 269, 918, 1782, 534, 267, 808, 269, 1261, 573, 330, 2086, 267, 667, 269, 661, 327, 1066, 6199, 267, 623, 269, 22216, 928, 341, 267, 594, 269, 2098, 1695, 541, 773, 9366, 267, 670, 269, 667, 879, 267, 6314, 269, 4004, 269, 476, 5325, 630, 1001, 272, 264, 476, 15686, 1321, 269, 9612, 538, 5616, 10104, 454, 19442, 269, 667, 269, 674, 4471, 10964, 267, 631, 269, 654, 269, 7200, 773, 267, 631, 269, 645, 1690, 323, 747, 267, 918, 269, 661, 269, 5842, 342, 12245, 267, 962, 269, 595, 2967, 267, 589, 269, 631, 269, 29216, 267, 631, 11607, 297, 269, 4258, 978, 267, 667, 269, 590, 758, 31730, 267, 570, 11607, 290, 269, 654, 1263, 267, 681, 269, 1325, 517, 810, 5336, 9461, 267, 681, 269, 595, 269, 16026, 267, 808, 269, 681, 269, 645, 1173, 541, 267, 808, 269, 918, 269, 715, 21417, 3464, 28325, 267, 589, 269, 715, 559, 26856, 267, 589, 269, 570, 269, 13852, 267, 808, 269, 2549, 269, 6314, 269, 17502, 269, 476, 15389, 630, 1001, 276, 264, 476, 9873, 276, 269, 9612, 538, 5616, 10104, 454, 23417, 269, 631, 269, 717, 23152, 4802, 267, 623, 269, 22216, 928, 341, 267, 623, 269, 623, 659, 328, 758, 267, 595, 11607, 310, 269, 12872, 267, 808, 269, 674, 269, 667, 269, 19966, 340, 14765, 267, 570, 269, 1234, 1512, 267, 631, 269, 670, 1122, 2102, 267, 681, 269, 14480, 514, 5174, 1251, 22603, 267, 623, 269, 5899, 817, 518, 267, 670, 269, 667, 879, 267, 6314, 269, 4004, 269, 476, 4649, 630, 1001, 280, 264, 476, 279, 1240, 269, 9612, 538, 5616, 10104, 454, 23470, 269, 681, 269, 667, 269, 700, 269, 8055, 267, 595, 269, 17131, 638, 7236, 267, 590, 269, 10753, 657, 267, 623, 269, 22216, 928, 341, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 918, 889, 7578, 267, 681, 269, 15011, 13758, 328, 267, 667, 269, 22167, 5633, 267, 6052, 30287, 269, 2233, 269, 476, 1556, 630, 1001, 279, 264, 476, 26316, 277, 269, 9612, 538, 5616, 10104, 454, 18597, 269, 681, 269, 667, 269, 700, 269, 8055, 267, 595, 269, 17131, 638, 7236, 267, 590, 269, 10753, 657, 267, 623, 269, 22216, 928, 341, 267, 918, 269, 918, 1782, 534, 267, 623, 269, 918, 889, 7578, 267, 631, 269, 681, 269, 15011, 13758, 328, 267, 667, 269, 30781, 5451, 548, 345, 6363, 331, 2803, 267, 670, 269, 667, 879, 267, 14844, 269, 4004, 269, 476, 279, 630, 1001, 278, 264, 476, 1708, 273, 269, 9612, 538, 5616, 10104, 454, 26297, 269, 623, 269, 681, 553, 12011, 1695, 267, 589, 269, 595, 269, 595, 269, 570, 572, 2426, 267, 808, 269, 5082, 10635, 1335, 269, 17502, 269, 476, 14530, 630, 2735, 275, 264, 476, 3199, 274, 269, 9612, 538, 5616, 10104, 454, 25375, 269, 808, 269, 661, 269, 13535, 515, 5674, 267, 661, 269, 589, 269, 3223, 3438, 267, 681, 269, 700, 269, 3223, 3438, 267, 1323, 6716, 27528, 6314, 773, 267, 476, 275, 628, 1196, 1421, 1546, 294, 745, 344, 614, 267, 12670, 630, 1001, 273, 1040, 9612, 538, 5616, 10104, 454, 25248, 269, 681, 269, 13879, 267, 538, 281, 16610, 543, 17738, 538, 12713, 514, 16955, 11061, 267, 476, 272, 560, 1196, 1421, 670, 11607, 289, 269, 26689, 28739, 267, 715, 269, 5450, 345, 2401, 9539, 565, 974, 630, 32295, 12175, 25067, 13305, 6224, 267, 1284, 514, 8583, 630, 1220, 277, 1040, 9612, 538, 5616, 10104, 454, 15100, 1708, 271, 1530, 30807, 1014, 674, 773, 577, 614, 267, 4591, 3455, 667, 879, 267, 10218, 27956, 345, 1696, 620, 1421, 3370, 676, 1546, 30421, 344, 614, 267, 12670, 20324, 10667, 454, 1607, 960, 568, 13931, 896, 519, 11300, 12780, 21922, 476, 275, 269, 271, 4139, 17821, 269, 0, 17098, 256, 7490, 4734, 721, 707, 5048, 610, 1289, 721, 693, 476, 4905, 269, 8517, 269, 11277, 269, 27174, 454, 14188, 596, 256, 2659, 19169, 814, 1044, 4607, 2336, 302, 3591, 256, 23985, 4682, 4636, 1247, 26446, 519, 1106, 454, 1432, 1284, 4076, 3231, 2740, 6168, 12096, 26508, 13255, 1924, 10787, 454, 5472, 827, 2887, 26508, 3560, 543, 922, 2956, 538, 519, 4775, 10285, 1062, 563, 20826, 476, 273, 267, 476, 1708, 272, 454, 2252, 4064, 616, 519, 6885, 547, 519, 9997, 267, 1287, 2887, 26508, 13740, 616, 519, 4155, 3118, 547, 1272, 269, 2060, 971, 606, 1271, 1909, 538, 519, 1560, 267, 2887, 26508, 13740, 616, 519, 1883, 547, 12093, 267, 607, 789, 3560, 6992, 1242, 5798, 547, 519, 19786, 547, 15498, 543, 1020, 269, 21298, 267, 811, 543, 811, 1382, 814, 1044, 3370, 827, 519, 1909, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 338, 267, 543, 1567, 619, 269, 2913, 781, 2736, 1524, 1018, 1142, 851, 1281, 1384, 272, 269, 21642, 619, 281, 1452, 616, 15497, 7028, 602, 2196, 2059, 1312, 5011, 540, 519, 25047, 3118, 269, 1358, 3180, 909, 519, 3268, 543, 2285, 873, 6617, 269, 6056, 540, 873, 899, 519, 22403, 540, 519, 25047, 13826, 563, 273, 269, 570, 1348, 338, 281, 901, 568, 519, 8880, 2627, 1141, 1004, 1900, 950, 2469, 909, 610, 1524, 519, 24383, 269, 898, 2115, 547, 581, 2647, 2614, 585, 6899, 6972, 543, 1500, 689, 2178, 2326, 602, 4465, 1405, 11523, 896, 2604, 563, 274, 269, 20322, 619, 281, 1452, 616, 519, 7299, 4773, 1063, 1142, 1900, 269, 2755, 930, 2413, 6272, 18178, 1210, 1567, 619, 585, 12716, 4128, 267, 789, 2965, 1404, 513, 2629, 1909, 538, 4180, 3106, 676, 7303, 1507, 3615, 689, 9991, 998, 519, 10616, 543, 3246, 3063, 1489, 585, 3755, 16246, 519, 24383, 780, 6524, 4358, 4070, 267, 2268, 519, 4463, 1063, 19683, 610, 5867, 543, 7941, 621, 676, 519, 5551, 1297, 540, 3268, 269, 901, 9819, 786, 948, 3313, 519, 4473, 630, 19417, 264, 540, 1142, 1367, 1900, 269, 589, 1434, 2489, 23988, 568, 547, 2832, 585, 513, 6899, 1900, 4473, 1063, 476, 277, 547, 476, 279, 6279, 7381, 269, 4495, 596, 917, 519, 4473, 267, 5173, 519, 2698, 2196, 630, 26319, 264, 540, 519, 25047, 13826, 676, 14921, 519, 1297, 540, 3268, 676, 741, 8700, 630, 20200, 1227, 1472, 476, 1015, 6279, 6393, 9202, 267, 2759, 519, 5569, 619, 2687, 547, 1346, 7403, 269, 4460, 519, 3169, 6753, 585, 1169, 1900, 593, 519, 1193, 5424, 4604, 543, 946, 513, 9764, 4718, 547, 5402, 2759, 2059, 519, 3515, 269, 2142, 2386, 547, 4734, 513, 2370, 3063, 1570, 693, 519, 1283, 543, 5377, 540, 519, 5569, 619, 585, 1140, 2286, 873, 18172, 547, 519, 2666, 543, 5580, 3760, 780, 5629, 519, 5569, 619, 616, 4712, 267, 2990, 873, 1996, 519, 3774, 610, 5885, 2497, 543, 1665, 1141, 519, 3675, 1235, 991, 547, 979, 269, 12305, 17527, 1063, 801, 338, 585, 3773, 4222, 267, 1287, 8936, 519, 5569, 619, 1210, 25336, 610, 18848, 31211, 269, 17677, 2638, 602, 789, 2811, 1377, 543, 726, 3518, 1354, 17516, 873, 4625, 780, 4415, 519, 5569, 619, 8704, 267, 621, 781, 942, 547, 1847, 593, 547, 16459, 519, 25500, 338, 543, 1567, 619, 269, 12338, 1142, 4062, 547, 2450, 1759, 593, 707, 4505, 9273, 267, 1818, 2386, 789, 3514, 2879, 1872, 569, 1369, 519, 5569, 619, 269, 5900, 778, 519, 25500, 338, 1101, 267, 4553, 676, 519, 1567, 619, 269, 2422, 18969, 610, 25336, 547, 3728, 523, 873, 18172, 538, 1747, 780, 4517, 21350, 10042, 256, 2060, 6297, 6482, 267, 5969, 267, 543, 10198, 267, 596, 1631, 723, 513, 6198, 25047, 13826, 3710, 7357, 689, 15072, 269, 2986, 1576, 267, 1832, 538, 2247, 602, 811, 1950, 6272, 949, 2154, 3606, 15790, 18782, 1983, 543, 2645, 267, 855, 13215, 519, 9238, 568, 513, 1390, 1376, 2509, 4742, 513, 8746, 798, 32717, 3917, 712, 1345, 518, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 21652, 344, 2006, 853, 26325, 10430, 630, 293, 298, 278, 2567, 1879, 972, 616, 5826, 610, 6454, 6009, 602, 2154, 3007, 538, 707, 1753, 610, 3959, 538, 853, 26325, 267, 607, 513, 7622, 518, 621, 666, 581, 2182, 547, 4137, 856, 4010, 945, 547, 8258, 269, 15531, 2576, 945, 568, 22973, 568, 707, 6305, 6662, 267, 543, 2348, 547, 3142, 538, 4123, 1808, 13492, 5443, 949, 1831, 7199, 543, 2352, 269, 594, 1589, 602, 519, 1034, 6225, 16185, 1223, 581, 547, 1289, 593, 835, 1268, 945, 1223, 10994, 513, 2603, 540, 891, 6009, 585, 596, 563, 4462, 16225, 532, 606, 1367, 609, 513, 2039, 540, 1983, 786, 581, 1655, 538, 891, 7653, 543, 835, 945, 568, 5356, 513, 13561, 2006, 1826, 3028, 1223, 581, 519, 2626, 269, 11109, 519, 1995, 547, 2347, 606, 5044, 540, 6009, 267, 568, 513, 3364, 602, 606, 9237, 853, 26325, 13561, 2006, 1058, 711, 3668, 269, 2659, 3804, 786, 581, 547, 10625, 513, 13561, 2006, 610, 9642, 2816, 812, 945, 596, 3513, 581, 2111, 547, 1289, 593, 942, 543, 942, 1586, 563, 2791, 1058, 2705, 7703, 538, 2247, 602, 972, 616, 6923, 17756, 547, 713, 4341, 269, 3487, 7781, 6009, 616, 15069, 711, 17501, 585, 513, 13561, 2006, 610, 9642, 2816, 812, 543, 991, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 1805, 1515, 13826, 14716, 257, 607, 851, 540, 834, 9816, 27516, 1299, 670, 26041, 1315, 1684, 268, 2005, 268, 7312, 1345, 1315, 2961, 335, 18782, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 595, 839, 11208, 543, 15213, 540, 20309, 910, 24935, 5455, 3414, 9085, 543, 9012, 692, 8702, 267, 1762, 3988, 256, 4653, 267, 1577, 781, 4685, 883, 606, 4277, 1888, 1572, 24890, 543, 5191, 540, 4082, 269, 901, 1523, 9388, 609, 1018, 1004, 666, 2161, 610, 2328, 11884, 543, 950, 6608, 610, 3906, 6430, 547, 3970, 621, 269, 1284, 786, 2263, 875, 4589, 267, 20859, 267, 543, 824, 3860, 2043, 2769, 741, 4555, 1247, 7231, 609, 9993, 543, 6302, 780, 5331, 596, 5206, 513, 9735, 1650, 855, 7948, 1405, 2671, 621, 1317, 2576, 2219, 1978, 2694, 1522, 13347, 1866, 269, 2334, 1131, 1745, 15490, 267, 1318, 286, 4270, 267, 5830, 267, 5159, 267, 543, 1065, 13024, 3068, 971, 2591, 3232, 269, 6884, 789, 1590, 1689, 741, 1913, 610, 11247, 1813, 547, 3652, 5921, 547, 2226, 1931, 610, 2149, 6213, 1344, 269, 1717, 267, 891, 7687, 949, 849, 2061, 873, 689, 4687, 1271, 18408, 610, 2189, 5380, 269, 1924, 267, 1141, 798, 649, 2721, 519, 1899, 1063, 3743, 2792, 543, 1863, 1582, 22325, 286, 2913, 781, 1265, 856, 2439, 4131, 781, 1376, 676, 1620, 519, 2474, 1384, 272, 269, 2878, 290, 839, 11208, 4995, 1879, 2576, 610, 1945, 630, 3697, 513, 2229, 610, 3919, 264, 16976, 1018, 1344, 267, 2835, 267, 9413, 267, 1148, 267, 3092, 1421, 3112, 581, 3838, 15597, 269, 1358, 1522, 4894, 1808, 3877, 267, 7333, 1568, 7357, 267, 610, 1256, 19439, 1346, 945, 2736, 519, 3652, 269, 1280, 1383, 267, 930, 2477, 1810, 1405, 1450, 2835, 10404, 1944, 741, 3401, 563, 273, 269, 2878, 26466, 4520, 540, 20309, 4995, 589, 2596, 1480, 1318, 3850, 1004, 547, 5968, 741, 8369, 267, 4978, 267, 543, 2093, 16175, 267, 1210, 1585, 2409, 899, 6340, 267, 1603, 267, 5373, 267, 13465, 267, 3092, 269, 898, 7512, 3309, 16752, 267, 5807, 7279, 543, 1565, 1851, 721, 782, 780, 3086, 602, 649, 1174, 891, 2035, 267, 1934, 616, 1614, 1483, 3734, 7653, 5473, 24890, 543, 5191, 540, 4082, 1384, 1262, 9928, 523, 9222, 476, 272, 281, 25587, 4658, 781, 31981, 12533, 265, 5970, 596, 2479, 4941, 547, 917, 811, 827, 707, 5172, 28245, 286, 2368, 5967, 619, 2307, 12050, 2055, 602, 7866, 4241, 11580, 267, 3006, 4929, 15784, 269, 22177, 7078, 281, 9410, 645, 1662, 597, 26906, 1402, 5182, 7812, 12722, 538, 476, 1220, 274, 269, 4438, 519, 6643, 267, 12722, 15861, 646, 4847, 1453, 547, 3207, 538, 1010, 5127, 267, 799, 17275, 9840, 827, 1126, 3106, 543, 9844, 269, 2755, 1082, 5433, 13943, 7234, 971, 4357, 6927, 267, 1866, 5156, 621, 729, 1898, 547, 3180, 9565, 5515, 18177, 585, 741, 3527, 780, 1262, 9928, 523, 9222, 476, 273, 281, 3203, 2065, 6513, 12533, 265, 9209, 1235, 1616, 547, 1711, 1759, 593, 741, 5075, 543, 5876, 269, 1809, 1018, 952, 8128, 1589, 741, 960, 3568, 5739, 6835, 286, 9701, 4896, 1852, 1018, 789, 3132, 286, 2107, 1058, 15888, 2141, 2972, 2347, 7499, 5191, 286, 1452, 13253, 8451, 1419, 269, 22177, 7078, 281, 7969, 23031, 9986, 643, 1512, 334, 570, 657, 4754, 328, 2813, 1008, 25607, 18537, 585, 7802, 6216, 5484, 564, 2023, 1282, 519, 1412, 3445, 338, 269, 2290, 740, 12286, 513, 562, 684, 543, 17308, 21098, 532, 267, 2587, 1359, 3909, 2516, 5001, 269, 8191, 885, 11130, 602, 519, 3239, 771, 637, 4624, 4984, 267, 1247, 18793, 4718, 621, 607, 8508, 4763, 543, 2648, 780, 1262, 9928, 523, 9222, 476, 274, 281, 11572, 9045, 790, 12533, 265, 25823, 597, 673, 2923, 3096, 9644, 547, 16472, 2797, 2621, 543, 5515, 269, 1635, 533, 3183, 1187, 693, 3978, 2152, 267, 789, 4126, 547, 1217, 9458, 543, 8300, 2318, 2242, 269, 8616, 267, 13915, 8044, 602, 1818, 24668, 827, 3532, 1004, 1223, 1291, 547, 21390, 610, 2800, 1514, 6617, 269, 22177, 7078, 281, 1290, 9037, 6239, 1397, 3162, 5244, 544, 18088, 4457, 6205, 2473, 328, 29883, 4771, 538, 835, 12558, 269, 3624, 15527, 676, 7333, 940, 519, 1982, 543, 14053, 3284, 3098, 269, 4014, 519, 15888, 5185, 9880, 267, 11655, 9976, 741, 29752, 18879, 1996, 24890, 780, 2026, 596, 1224, 3332, 267, 4585, 8874, 267, 6432, 547, 2575, 267, 543, 1246, 3377, 2984, 2429, 707, 1272, 267, 2015, 891, 1883, 2798, 1384, 272, 269, 1215, 1281, 519, 17082, 3666, 741, 5048, 609, 1761, 4539, 888, 273, 269, 3657, 1022, 7182, 5116, 593, 519, 7376, 781, 2702, 547, 6655, 741, 2856, 286, 1403, 865, 267, 1946, 888, 274, 269, 1548, 1764, 1281, 24890, 610, 3668, 23476, 723, 593, 938, 2486, 888, 275, 269, 2052, 596, 2697, 8320, 540, 24890, 1369, 707, 2146, 610, 2197, 888, 276, 269, 14936, 267, 3314, 602, 6998, 9157, 2055, 2337, 3895, 2565, 3206, 543, 1732, 5483, 4961, 269, 5901, 3695, 267, 2542, 267, 543, 8108, 707, 8369, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8310, 1032, 594, 11751, 513, 4015, 540, 2025, 19877, 17476, 269, 634, 1101, 942, 594, 29618, 1930, 519, 1305, 267, 594, 4121, 602, 593, 4873, 476, 1789, 267, 476, 3192, 274, 267, 29871, 2782, 3128, 2893, 1524, 585, 513, 10004, 609, 4936, 2717, 753, 7288, 269, 2782, 3128, 17696, 513, 19997, 543, 2717, 753, 7288, 10288, 513, 14420, 543, 513, 3276, 3455, 269, 769, 519, 12732, 540, 5216, 4627, 3764, 267, 519, 1079, 4988, 13099, 541, 9579, 328, 2528, 267, 25399, 267, 3023, 267, 9882, 267, 12961, 267, 12955, 267, 3388, 269, 594, 4121, 3388, 543, 4986, 693, 2899, 998, 602, 7237, 269, 1656, 602, 3893, 803, 3206, 827, 5967, 13341, 538, 2489, 563, 11328, 1613, 338, 723, 513, 1279, 1686, 267, 540, 1576, 269, 769, 1250, 1378, 10715, 267, 972, 779, 1044, 519, 791, 1190, 18112, 3570, 12096, 659, 328, 15819, 10609, 727, 7236, 593, 519, 31623, 540, 519, 22504, 4838, 267, 610, 519, 4583, 645, 1662, 597, 11042, 609, 7812, 12722, 269, 3619, 1394, 2417, 267, 543, 972, 941, 8751, 16423, 324, 779, 11401, 609, 30227, 2274, 776, 267, 22255, 328, 681, 3971, 523, 560, 22844, 6158, 547, 13609, 269, 3962, 538, 922, 1378, 1259, 814, 1044, 11599, 267, 11214, 21338, 3294, 538, 519, 1857, 2247, 543, 23366, 8744, 1007, 1919, 547, 1769, 563, 1103, 713, 3390, 267, 649, 30603, 519, 5967, 269, 3776, 2824, 328, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 290, 839, 11208, 543, 15213, 540, 20309, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 23527, 1299, 21771, 1315, 15348, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 8004, 3957, 15039, 945, 6068, 4730, 609, 1200, 9162, 269, 2290, 1554, 267, 1352, 1336, 513, 2027, 11058, 602, 6743, 899, 513, 10977, 1698, 855, 1185, 12904, 4947, 856, 540, 621, 269, 4173, 3158, 5143, 1200, 602, 621, 729, 1572, 513, 11020, 4211 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 596, 1223, 27229, 6336, 563, 4517, 609, 741, 23376, 267, 596, 666, 1118, 1732, 2883, 25926, 269, 14992, 7231, 609, 2228, 3549, 543, 5665, 593, 519, 4880, 616, 513, 1906, 540, 4179, 2517, 4178, 12500, 12099, 2593, 270, 519, 1806, 269, 1358, 3335, 30107, 540, 5499, 3681, 543, 25584, 609, 8626, 27274, 1164, 2344, 1698, 267, 855, 741, 4890, 15271, 616, 693, 513, 2731, 1970, 3942, 563, 7212, 713, 6236, 729, 7839, 561, 648, 689, 827, 476, 4198, 271, 2394, 519, 1283, 540, 519, 2540, 267, 621, 814, 2094, 2490, 856, 547, 581, 1454, 1447, 2442, 269, 16010, 13315, 12948, 267, 15407, 610, 7963, 267, 5491, 267, 3854, 6990, 267, 6666, 267, 9541, 267, 543, 519, 5137, 543, 23388, 540, 13075, 2409, 269, 1280, 1383, 267, 513, 1804, 2754, 949, 991, 547, 3313, 2436, 610, 711, 547, 6318, 3063, 7482, 3842, 513, 6125, 3390, 610, 6006, 5356, 269, 20971, 8492, 949, 18973, 519, 8116, 593, 971, 9270, 543, 4217, 873, 2344, 519, 19736, 563, 26296, 9297, 18271, 2804, 6240, 547, 6218, 875, 2386, 2152, 12705, 3375, 1818, 267, 5356, 9520, 609, 519, 7405, 547, 1118, 519, 1697, 7125, 269, 1280, 1383, 267, 513, 2883, 11038, 3069, 28643, 786, 3950, 1554, 3562, 6377, 10512, 1702, 7222, 547, 6666, 10070, 543, 771, 321, 9309, 906, 547, 2327, 602, 519, 2754, 814, 6190, 6666, 547, 11886, 922, 13800, 563, 2304, 9642, 2603, 4016, 547, 606, 1931, 2179, 585, 513, 3354, 602, 568, 1447, 982, 519, 6671, 1770, 540, 9140, 543, 9513, 585, 606, 10697, 269, 15380, 713, 4016, 547, 4376, 2539, 982, 519, 8912, 835, 4627, 8843, 585, 13632, 269, 3509, 2010, 540, 7616, 6240, 31721, 5180, 12394, 547, 2062, 339, 749, 1018, 519, 2344, 786, 798, 1985, 563, 288, 2603, 568, 513, 6378, 7274, 540, 3631, 543, 568, 5462, 676, 519, 2883, 3106, 21775, 269, 634, 1871, 540, 519, 11891, 568, 9141, 676, 875, 1082, 4179, 2517, 272, 514, 4034, 532, 23357, 11721, 514, 2574, 7308, 800, 270, 8843, 1185, 1044, 9783, 543, 875, 513, 2603, 2043, 1589, 519, 9746, 568, 1871, 267, 543, 1522, 581, 1871, 563, 288, 5180, 2603, 849, 666, 1865, 609, 3875, 8843, 602, 666, 14961, 581, 5258, 676, 513, 4627, 267, 971, 607, 476, 4968, 267, 476, 272, 267, 1220, 267, 543, 476, 1428, 267, 4335, 8843, 269, 1879, 18318, 543, 18318, 4444, 543, 6133, 2883, 7405, 1369, 519, 3854, 6990, 267, 789, 9585, 602, 609, 9748, 563, 26296, 9946, 1491, 2324, 267, 7616, 543, 14104, 5079, 267, 513, 1906, 540, 713, 2404, 547, 519, 2656, 2165, 543, 513, 1906, 1279, 2196, 269, 634, 476, 277, 14362, 540, 16010, 3025, 11129, 547, 5700, 2436, 610, 711, 621, 779, 585, 1004, 610, 3906, 269, 744, 9536, 646, 2355, 616, 8843, 799, 596, 1522, 723, 12349, 693, 31680, 1871, 610, 950, 14078, 3390, 11891, 27993, 269, 4595, 891, 616, 4179, 2517, 4178, 269, 2041, 25404, 2593, 270, 711, 519, 1482, 2025, 16883, 4604, 9748, 630, 324, 3052, 269, 476, 1015, 267, 835, 4627, 267, 476, 1911, 271, 264, 972, 779, 513, 1808, 1797, 540, 5009, 9642, 9748, 538, 5867, 971, 607, 13022, 1047, 935, 1467, 269, 1452, 616, 519, 19915, 543, 2709, 607, 513, 1267, 540, 972, 616, 1100, 1447, 982, 513, 4627, 8843, 1373, 19915, 543, 3177, 693, 1346, 9832, 563, 2026, 513, 2339, 540, 5168, 267, 5883, 8804, 568, 9565, 950, 621, 2501, 547, 1818, 25926, 269, 589, 20085, 2603, 568, 513, 2834, 3099, 540, 3631, 540, 606, 5092, 1587, 269, 589, 5180, 2603, 540, 8843, 568, 476, 1911, 8843, 610, 1022, 1297, 16883, 676, 835, 4627, 269, 4595, 606, 9642, 2603, 568, 3144, 883, 2272, 9425, 28971, 547, 8273, 5238, 267, 513, 2754, 1522, 3442, 547, 1205, 7759, 540, 1022, 9642, 3180, 902, 689, 519, 2344, 563, 1432, 1826, 540, 5092, 2306, 519, 1034, 2724, 888, 1805, 1442, 568, 513, 2489, 2165, 1031, 547, 4766, 519, 9562, 22783, 540, 1022, 2754, 267, 543, 8843, 4016, 547, 519, 9562, 22783, 540, 513, 1880, 2754, 269, 1924, 267, 952, 9520, 2161, 789, 1378, 13632, 267, 789, 616, 3622, 13288, 547, 741, 2949, 9562, 538, 835, 610, 811, 3549, 563, 17843, 9537, 2986, 14351, 454, 268, 1358, 8263, 602, 519, 2344, 2557, 540, 1719, 4564, 519, 3902, 540, 3854, 547, 519, 8116, 799, 1281, 711, 1689, 609, 519, 7274, 540, 7616, 621, 2306, 563, 268, 4985, 634, 2883, 1523, 540, 7616, 814, 1044, 2919, 676, 6276, 667, 1132, 523, 9440, 563, 268, 898, 10522, 602, 3970, 1652, 7482, 616, 2139, 547, 519, 6109, 593, 519, 2344, 3902, 540, 7279, 563, 268, 634, 16795, 16057, 9386, 540, 14330, 293, 543, 3063, 568, 1813, 540, 547, 621, 779, 519, 11891, 4641, 2073, 7474, 922, 607, 2344, 519, 6109, 3902, 2152, 786, 3063, 2887, 543, 519, 6556, 786, 4473, 563, 268, 634, 5787, 1807, 6436, 11716, 519, 1909, 540, 3902, 540, 3854, 538, 5092, 3375, 676, 519, 6109, 563, 268, 3143, 791, 3176, 8594, 568, 3238, 538, 621, 607, 513, 1267, 540, 519, 6109, 1175, 3884, 1406, 2838, 547, 2628, 27993, 563, 2414, 8804, 7616, 7836, 267, 519, 6109, 949, 10210, 856, 972, 693, 8726, 1719, 2557, 7482, 616, 2139, 269, 7756, 13317, 20907, 532, 5773, 616, 3015, 547, 513, 13055, 602, 666, 581, 8246, 547, 6218, 1114, 7616, 3981, 1431, 563, 1432, 568, 1655, 547, 1902, 538, 1631, 888, 16248, 1455, 2010, 540, 2344, 4398, 616, 782, 25607, 267, 10512, 543, 21141, 269, 1717, 267, 824, 5686, 540, 2344, 4398, 616, 849, 18931, 269, 1488, 4226, 14141, 3322, 2921, 5413, 540, 3902, 10486, 540, 2883, 7405, 1063, 476, 273, 610, 811, 6990, 676, 9467, 547, 5352, 12434, 563, 27879, 633, 12411, 639, 15765, 30799, 454, 763, 8804, 9614, 1568, 609, 513, 1297, 540, 32266, 3330, 543, 13964, 519, 8116, 547, 1711, 543, 8190, 519, 2804, 1871, 540, 519, 8116, 779, 3959, 269, 634, 6240, 540, 20656, 543, 28880, 568, 1898, 689, 519, 20090, 779, 5133, 1317, 519, 20090, 814, 547, 2327, 1142, 20656, 543, 28880, 563, 4322, 616, 1759, 593, 9273, 3592, 827, 519, 7274, 540, 5092, 267, 1719, 3928, 267, 2724, 8928, 543, 13927, 540, 7024, 2404, 609, 3981, 1431, 269, 1452, 5773, 616, 4294, 547, 519, 7616, 18747, 547, 3442, 519, 1034, 2500, 11556, 269, 3690, 13905, 1590, 581, 6592, 950, 711, 3257, 865, 1131, 7654, 7369, 519, 25926, 1500, 676, 513, 5467, 540, 606, 3919, 779, 2883, 6898, 269, 901, 11148, 547, 1291, 547, 26483, 1507, 20695, 8852, 1373, 6592, 267, 538, 1931, 602, 519, 2883, 6898, 2649, 1947, 2099, 519, 2883, 2164, 267, 2883, 1747, 267, 543, 2724, 8928, 540, 513, 13055, 269, 634, 2101, 6662, 540, 519, 8804, 9614, 568, 547, 11694, 519, 1699, 6006, 1871, 630, 3225, 640, 4502, 264, 540, 519, 6109, 563, 7021, 606, 6905, 942, 16880, 267, 519, 28643, 786, 8499, 1382, 2436, 610, 711, 543, 950, 519, 2754, 11129, 547, 1930, 513, 1007, 5663, 9744, 269, 634, 9614, 786, 849, 2303, 519, 1034, 10858, 1259, 547, 8804, 519, 1788, 267, 2333, 519, 7482, 267, 1310, 4179, 2517, 272, 514, 4034, 532, 23357, 270, 799, 6895, 519, 1788, 779, 6388, 543, 5106, 269, 25613, 16040, 267, 8804, 568, 2693, 835, 540, 519, 1034, 2556, 3344, 540, 513, 13055, 269, 2060, 2462, 7482, 267, 3232, 2724, 32694, 543, 6024, 11834, 267, 5883, 543, 5464, 782, 540, 519, 1657, 16212, 2556, 563, 3674, 621, 4502, 621, 547, 4444, 476, 1015, 8843, 540, 513, 6006, 888, 2467, 616, 1614, 3664, 602, 2883, 9946, 723, 547, 1491, 281, 20971, 17423, 269, 5685, 3496, 17423, 543, 269, 29435, 754, 17423, 563, 2252, 513, 31066, 723, 1044, 547, 1747, 606, 1931, 585, 476, 2004, 8843, 693, 1269, 2004, 269, 736, 267, 519, 19915, 1131, 20866, 1832, 693, 1269, 2004, 269, 1015, 543, 519, 476, 2004, 2671, 1931, 693, 1269, 2004, 269, 736, 9327, 1406, 581, 2938, 593, 519, 1377, 4083, 547, 1034, 22278, 269, 769, 2453, 540, 3681, 267, 513, 2603, 4564, 519, 1297, 540, 11731, 8659, 538, 835, 838, 3626, 742, 3354, 269, 2290, 9698, 4781, 4579, 4564, 835, 4627, 5817, 8843, 540, 606, 3919, 779, 6006, 269, 5381, 547, 8843, 267, 519, 20085, 2603, 585, 1689, 2389, 24612, 19736, 267, 2147, 547, 606, 4123, 2389, 24612, 2508, 630, 4953, 293, 1070, 568, 476, 1911, 8843, 563, 299, 1172, 7190, 19752, 519, 2344, 1464, 540, 519, 5092, 1775, 4318, 269, 875, 1454, 2653, 547, 1205, 6666, 676, 5009, 519, 5092, 269, 2201, 519, 824, 1688, 267, 9520, 1058, 6108, 2724, 593, 513, 1259, 602, 666, 1118, 2386, 519, 12366, 1436, 540, 7443, 609, 513, 10257, 610, 6175, 3942, 540, 3463, 269, 901, 840, 1061, 568, 7255, 609, 519, 4502, 540, 6666, 267, 602, 1871, 540, 2724, 568, 8519, 950, 942, 10596, 269, 634, 1871, 540, 13362, 476, 272, 540, 519, 1699, 942, 568, 811, 982, 519, 4502, 540, 13362, 476, 272, 1310, 513, 1247, 610, 1296, 563, 2414, 2327, 19993, 3928, 540, 2132, 18046, 723, 547, 2268, 8594, 543, 2132, 676, 1142, 1463, 6482, 543, 3448, 6482, 269, 14362, 957, 607, 513, 19583, 4179, 2517, 576, 343, 269, 1470, 270, 585, 519, 5092, 543, 14104, 3903, 563, 763, 1101, 3815, 666, 1689, 2443, 19838, 538, 513, 11891, 8237, 2443, 609, 856, 519, 1866, 4657, 269, 1548, 6927, 568, 519, 12750, 1512, 593, 519, 3003, 7274, 2443, 543, 875, 4440, 1142, 12492, 762, 12343, 568, 269, 1280, 811, 10115, 8226, 267, 596, 7654, 666, 1129, 909, 585, 938, 1863, 552, 268, 12072, 9944, 269, 898, 779, 2407, 540, 2344, 3377, 543, 1382, 689, 5092, 12665, 563, 763, 2539, 519, 4960, 22812, 1189, 5223, 267, 519, 1732, 519, 7616, 568, 18284, 713, 6240, 269, 744, 9536, 2603, 23194, 616, 16450, 9753, 1500, 676, 18046, 602, 9784, 1447, 982, 835, 4627, 8843, 538, 519, 11834, 610, 2356, 616, 711, 513, 2789, 540, 835, 4627, 269, 1452, 4123, 9753, 2356, 7854, 1367, 9520, 799, 519, 25127, 11099, 616, 1454, 11038, 3069, 1447, 13473, 543, 9565, 538, 519, 2344, 2949, 269, 634, 9642, 2603, 1523, 6212, 593, 1739, 2238, 540, 1880, 1268, 9520, 9467, 538, 9642, 6266, 269, 901, 25127, 10123, 17648, 602, 9952, 9520, 543, 18318, 616, 2693, 547, 16450, 538, 5180, 2603, 7306, 630, 20123, 328, 1255, 540, 513, 4627, 8843, 1070, 547, 2087, 14499, 4398, 538, 741, 9753, 269, 0, 4942, 9582, 543, 7335, 454, 10907, 1484, 7690, 8609, 543, 6206, 8609, 476, 272, 267, 649, 4001, 18551, 630, 328, 4318, 269, 519, 4992, 6719, 676, 519, 5022, 264, 543, 948, 1453, 547, 1451, 2898, 1913, 538, 1931, 547, 1020, 513, 2647, 8289, 6863, 998, 513, 10325, 1572, 9741, 654, 663, 548, 269, 7102, 1126, 945, 5170, 547, 2154, 18551, 2542, 4309, 6462, 7459, 998, 713, 10872, 269, 901, 10872, 568, 513, 1505, 540, 1565, 4484, 4992, 543, 16471, 873, 1927, 547, 1224, 543, 2328, 1913, 269, 901, 568, 6462, 676, 513, 3102, 10325, 540, 2542, 2835, 3177, 676, 9741, 654, 663, 548, 543, 19811, 8262, 9697, 269, 5753, 945, 723, 711, 1558, 519, 2838, 3044, 585, 18551, 538, 5729, 476, 272, 610, 476, 273, 723, 3232, 18551, 7886, 2324, 998, 519, 11775, 2901, 14350, 610, 538, 1507, 1895, 7886, 269, 901, 5170, 883, 6206, 8609, 476, 273, 607, 2556, 563, 4263, 27347, 728, 12729, 3427, 782, 5049, 1246, 513, 11295, 1935, 547, 2542, 269, 2353, 7886, 616, 7317, 543, 3610, 7520, 6340, 543, 6947, 3255, 267, 2203, 519, 2542, 1184, 543, 3391, 1453, 2542, 543, 8223, 269, 10426, 633, 1565, 568, 6922, 2213, 543, 6278, 15469, 998, 2834, 946, 540, 1589, 1790, 1515, 6879, 732, 543, 10319, 4247, 563, 5978, 2832, 568, 547, 4001, 1453, 547, 711, 1152, 1224, 513, 1257, 2770, 1836, 267, 855, 547, 2087, 741, 8223, 1983, 607, 713, 786, 948, 1453, 547, 1174, 543, 2992, 2390, 1018, 621, 568, 789, 723, 1224, 269, 4400, 2298, 5931, 543, 15102, 616, 6074, 267, 3617, 547, 519, 6788, 540, 519, 1032, 1895, 610, 2702, 540, 1453, 267, 543, 3610, 946, 713, 547, 2203, 519, 3498, 540, 519, 8815, 2542, 1983, 269, 634, 2010, 540, 2055, 1453, 786, 2263, 616, 4143, 547, 835, 540, 519, 1883, 8223, 1983, 281, 7234, 543, 3695, 6863, 282, 1818, 11236, 282, 7234, 519, 2278, 779, 3903, 540, 1893, 543, 519, 1198, 621, 814, 593, 513, 5467, 282, 9034, 2358, 4798, 543, 2093, 282, 13098, 1324, 1344, 689, 519, 1257, 543, 1818, 31921, 1210, 10881, 689, 519, 1257, 563, 10702, 547, 1110, 8215, 7886, 267, 1453, 723, 519, 4316, 547, 1224 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 563, 1103, 713, 2203, 267, 649, 946, 930, 8544, 3107, 2934, 267, 971, 607, 6820, 674, 23474, 543, 12025, 2776, 1613, 267, 547, 2087, 519, 17450, 2298, 2066, 519, 6389, 269, 1284, 5342, 513, 17450, 1353, 547, 1174, 875, 17450, 5860, 543, 3693, 2450, 666, 1764, 519, 2164, 267, 971, 607, 11544, 3905, 543, 4411, 1216, 543, 8159, 519, 5021, 6991, 543, 2837, 538, 519, 6389, 563, 275, 269, 18435, 291, 7844, 26094, 281, 4676, 710, 25042, 454, 276, 269, 20368, 13011, 5530, 543, 5071, 3525, 2305, 454, 8794, 4888, 306, 22076, 20570, 781, 10812, 7154, 666, 1683, 513, 2656, 543, 16022, 3070, 547, 948, 1118, 5483, 1374, 3664, 827, 18435, 291, 3631, 269, 3958, 267, 649, 666, 946, 519, 10812, 7154, 547, 1685, 8417, 2079, 676, 4657, 3403, 6724, 543, 8524, 532, 741, 5222, 269, 901, 2636, 721, 547, 11126, 519, 1374, 543, 2697, 1883, 6724, 7133, 5714, 2095, 543, 3002, 4483, 2623, 563, 2171, 666, 946, 513, 4164, 13011, 1353, 547, 2697, 2127, 585, 6454, 543, 1118, 1374, 2242, 547, 11126, 519, 2773, 540, 519, 18435, 291, 2203, 269, 769, 938, 4164, 13011, 1353, 267, 649, 4188, 10465, 2175, 971, 607, 2095, 6991, 543, 2837, 267, 607, 1134, 607, 22762, 3740, 2934, 540, 519, 2203, 267, 607, 1883, 6724, 538, 938, 18435, 291, 2203, 269, 1284, 1628, 1449, 2665, 609, 513, 3126, 540, 891, 6724, 543, 2638, 519, 6454, 540, 519, 11544, 1184, 538, 519, 18435, 291, 2203, 269, 898, 781, 1271, 547, 4063, 602, 9511, 14842, 568, 7543, 3330, 4888, 306, 22076, 12071, 550, 543, 18435, 311, 267, 865, 649, 991, 513, 5094, 21957, 2203, 518, 1907, 267, 971, 607, 6611, 5141, 2727, 267, 547, 1118, 519, 2242, 269, 3973, 649, 666, 2132, 519, 2203, 547, 519, 4888, 306, 22076, 18435, 291, 24626, 547, 1305, 909, 543, 4194, 519, 1007, 3631, 269, 1717, 267, 609, 4888, 306, 22076, 20570, 267, 649, 666, 1118, 782, 2242, 547, 519, 9511, 543, 6323, 540, 519, 1966, 1927, 3330, 519, 1982, 267, 799, 568, 513, 5458, 5413, 269, 1284, 1810, 1405, 991, 547, 14827, 519, 1982, 267, 543, 3388, 568, 7471, 543, 2919, 3330, 20570, 563, 5629, 649, 2744, 4030, 689, 519, 2079, 267, 649, 666, 12189, 519, 9511, 267, 4188, 519, 10465, 2175, 267, 610, 11126, 519, 1062, 3334, 547, 3035, 519, 5551, 2773, 3853, 269, 901, 27952, 1184, 2636, 721, 547, 5386, 2389, 2317, 938, 6272, 543, 3035, 6099, 2164, 563, 277, 269, 1230, 24503, 622, 14333, 18734, 5811, 454, 1103, 519, 2063, 3296, 267, 649, 2263, 519, 3002, 4483, 538, 519, 5714, 6389, 543, 519, 4478, 4396, 4703, 676, 31669, 3002, 4483, 2079, 269, 1284, 1331, 8143, 10465, 2175, 585, 519, 23969, 6821, 267, 538, 1840, 547, 519, 5714, 543, 8143, 2175, 2907, 8655, 547, 519, 5714, 6389, 269, 1284, 1101, 4019, 519, 3002, 2095, 2783, 547, 519, 17571, 267, 2491, 519, 14764, 585, 10647, 31669, 3002, 4483, 538, 5775, 903, 20570, 267, 543, 1287, 4194, 519, 2203, 543, 1397, 519, 2164, 538, 10812, 7154, 269, 3973, 267, 649, 1353, 519, 1764, 540, 10962, 1007, 1570, 543, 1007, 3002, 2175, 538, 519, 17571, 267, 9001, 519, 21697, 11251, 538, 20570, 2079, 547, 5659, 519, 2360, 282, 649, 1689, 519, 3774, 1570, 547, 7601, 18585, 543, 13604, 1039, 13471, 267, 11287, 875, 891, 12381, 3310, 519, 2164, 269, 649, 16833, 909, 713, 851, 676, 15386, 519, 14764, 543, 6061, 540, 519, 2203, 538, 519, 4676, 710, 7154, 547, 1683, 513, 3102, 3408, 540, 31669, 3002, 4483, 2079, 538, 5775, 903, 20570, 563, 3528, 19713, 519, 1379, 540, 4888, 306, 22076, 20570, 267, 649, 666, 12260, 519, 1761, 547, 2981, 519, 1374, 1184, 267, 2870, 5714, 543, 8143, 2472, 602, 616, 711, 1152, 3608, 543, 6325, 855, 849, 5963, 5499, 269, 0, 19445, 26306, 568, 513, 7613, 602, 568, 30507, 519, 1259, 4213, 7500, 269, 898, 568, 3850, 3549, 547, 15407, 519, 1379, 540, 2029, 547, 2333, 4398, 267, 2759, 3790, 267, 543, 6038, 1711, 1732, 6075, 2833, 269, 898, 568, 513, 2165, 1031, 547, 4766, 519, 946, 540, 3059, 2645, 543, 4359, 4066, 547, 28196, 710, 543, 18534, 1901, 1870, 3157, 267, 3631, 267, 543, 6075, 3347, 269, 769, 519, 3059, 1158, 267, 4213, 723, 606, 13778, 4316, 547, 4497, 5561, 538, 5499, 2081, 543, 1683, 873, 609, 10531, 3435, 269, 634, 4473, 540, 3059, 7004, 814, 8118, 909, 513, 1158, 540, 7399, 602, 666, 948, 4213, 3251, 8013, 543, 2333, 1279, 3856, 1967, 563, 763, 11588, 540, 7913, 26306, 454, 19445, 7004, 568, 6385, 4742, 513, 22294, 540, 2413, 4213, 267, 543, 972, 616, 513, 3099, 540, 2640, 602, 2097, 609, 1818, 519, 6467, 269, 3245, 2799, 4398, 543, 1942, 9806, 547, 8476, 6075, 1995, 267, 1934, 616, 930, 540, 519, 7887, 5383, 540, 3059, 7004, 563, 19445, 7004, 666, 948, 5397, 4398, 1369, 3906, 676, 6908, 23164, 3157, 543, 3678, 908, 8261, 4247, 269, 901, 2882, 4227, 16126, 593, 1957, 3157, 267, 13868, 8261, 4247, 609, 12747, 3283, 267, 6908, 23164, 2792, 1063, 13623, 267, 543, 5355, 6075, 1995, 269, 1635, 16107, 2029, 267, 4213, 666, 2569, 3790, 2404, 609, 1239, 7127, 543, 1957, 1740, 267, 20928, 3157, 543, 20104, 267, 543, 2087, 6075, 3028, 563, 3080, 540, 519, 1034, 1713, 2640, 540, 3059, 7004, 568, 519, 1942, 9806, 2404, 609, 621, 269, 1635, 28006, 547, 3059, 3157, 543, 10115, 538, 6639, 3435, 971, 607, 6531, 7384, 267, 4213, 666, 2569, 10512, 3790, 267, 2333, 4398, 267, 543, 1863, 909, 3854, 547, 581, 16539, 538, 824, 2127, 269, 3958, 267, 3059, 7004, 666, 1118, 6075, 11601, 543, 12802, 811, 22150, 543, 1942, 15807, 563, 26670, 2331, 21436, 15232, 454, 19445, 7004, 666, 948, 4213, 1683, 5561, 609, 513, 811, 10531, 543, 3358, 1995, 269, 1635, 16107, 3059, 2645, 971, 607, 5841, 4987, 267, 6075, 1239, 666, 581, 1031, 547, 3589, 6075, 7375, 543, 4363, 2472, 267, 2870, 513, 811, 15774, 267, 2502, 6075, 1995, 269, 7913, 7004, 849, 2636, 4213, 547, 7001, 267, 4558, 267, 543, 5659, 6075, 1239, 547, 1732, 1174, 741, 2115, 543, 5615, 543, 547, 1711, 1007, 10531, 2833, 563, 10574, 3354, 568, 513, 2101, 6161, 585, 1082, 4213, 267, 543, 3059, 7004, 666, 948, 11574, 891, 4220, 269, 2060, 519, 1318, 3354, 3435, 538, 1747, 267, 4213, 666, 2149, 6075, 1239, 267, 2327, 10512, 17284, 543, 10220, 267, 543, 6038, 1683, 5561, 609, 513, 5150, 267, 22973, 1995, 269, 3958, 267, 3059, 7004, 666, 948, 3549, 2149, 1996, 1239, 23563, 543, 6880, 31281, 2931, 267, 4227, 519, 8458, 540, 513, 3811, 4323, 538, 519, 1101, 1747, 563, 763, 8177, 540, 7913, 26306, 454, 2026, 811, 4213, 1118, 519, 5912, 547, 3059, 7004, 267, 922, 1764, 568, 4742, 20501, 269, 7913, 7004, 568, 7175, 4213, 547, 1831, 811, 26227, 543, 5499, 267, 5356, 5561, 811, 10531, 2833, 267, 543, 11543, 513, 8013, 5413, 538, 741, 9757, 6990, 269, 1635, 16107, 1007, 4066, 267, 4213, 666, 2333, 7607, 267, 2087, 6075, 3028, 267, 543, 2569, 10512, 3790, 1107, 782, 1247, 2810, 741, 5377, 1899, 563, 763, 1379, 540, 3059, 7004, 568, 4742, 5051, 10423, 269, 3245, 2799, 4398, 543, 1942, 9806, 547, 8476, 6075, 1995, 543, 4824, 3354, 267, 3059, 7004, 568, 7175, 4213, 547, 3251, 8013, 543, 1305, 2933, 6306, 538, 519, 3059, 1158, 269, 1635, 16107, 519, 1318, 2029, 543, 3435, 267, 4213, 666, 28231, 519, 1082, 2640, 540, 3059, 7004, 543, 6038, 1831, 811, 3811, 563, 28716, 1099, 7765, 560, 1192, 528, 2593, 585, 811, 0, 4692, 10965, 1389, 16202, 10162, 16556, 570, 559, 777, 807, 286, 6153, 610, 24768, 888, 293, 29623, 938, 4620, 15315, 513, 7059, 543, 14312, 2732, 568, 2629, 585, 741, 2949, 1072, 543, 1134, 5630, 269, 898, 568, 1898, 547, 581, 3222, 540, 1018, 3536, 616, 2922, 585, 873, 547, 8532, 538, 1931, 547, 2061, 1022, 1761, 2800, 269, 2290, 1455, 2243, 602, 14340, 568, 2436, 15315, 666, 3548, 28777, 21266, 777, 807, 267, 543, 952, 865, 267, 2436, 621, 568, 1434, 610, 6757, 585, 873, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 9422, 1871, 540, 28777, 21266, 777, 807, 267, 519, 3106, 3344, 540, 8023, 621, 547, 15315, 267, 1761, 4220, 543, 2640, 267, 1018, 547, 798, 952, 513, 13131, 22655, 28777, 21266, 777, 807, 267, 543, 9270, 585, 8023, 15315, 713, 1880, 1426, 563, 301, 26798, 10025, 540, 10162, 16556, 570, 559, 777, 807, 454, 305, 334, 16556, 21266, 777, 807, 568, 513, 2442, 3903, 1851, 1082, 2043, 1813, 547, 922, 7646, 8137, 543, 11606, 540, 5567, 269, 901, 11684, 3165, 568, 1970, 538, 8477, 267, 1818, 621, 606, 5140, 4781, 585, 1346, 3168, 547, 2226, 513, 2635, 2732, 269, 898, 568, 513, 3638, 2707, 540, 1164, 7779, 3940, 267, 15060, 268, 274, 9761, 7408, 267, 8324, 971, 607, 645, 1321, 543, 667, 267, 543, 6886, 1519, 31093, 543, 16903, 269, 1452, 5567, 1404, 513, 4105, 1909, 538, 5009, 6099, 2208, 267, 4887, 1646, 267, 543, 4761, 1599, 563, 32552, 540, 10162, 16556, 570, 559, 777, 807, 585, 10965, 1389, 454, 4692, 15315, 3548, 28777, 21266, 777, 807, 286, 634, 2626, 568, 9811, 269, 10965, 1389, 616, 23097, 5387, 20641, 602, 5097, 3049, 593, 824, 2831, 267, 971, 607, 23224, 267, 5017, 267, 543, 3165, 269, 570, 559, 777, 807, 267, 538, 922, 28777, 1106, 267, 666, 581, 513, 5078, 1840, 547, 513, 13131, 779, 2732, 269, 1717, 267, 621, 568, 1271, 547, 4063, 602, 711, 782, 2249, 540, 15315, 723, 519, 1482, 8192, 4170, 269, 6969, 10962, 28777, 21266, 777, 807, 883, 741, 2732, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 2115, 540, 519, 13131, 2249, 538, 2243, 269, 2368, 15315, 949, 2154, 513, 2732, 9967, 9003, 540, 2661, 10352, 267, 1247, 1866, 666, 20496, 11273, 610, 9268, 3536, 563, 22025, 1113, 24093, 543, 11588, 540, 10965, 1389, 14856, 10162, 16556, 570, 559, 777, 807, 454, 2026, 609, 1022, 1426, 267, 972, 616, 1761, 4220, 543, 2640, 2404, 609, 15315, 10438, 28777, 21266, 777, 807, 269, 2290, 4324, 568, 519, 9422, 1871, 5018, 4505, 267, 607, 519, 3165, 2488, 513, 1434, 2707, 540, 3940, 267, 8324, 267, 543, 6886, 269, 1717, 267, 621, 568, 2629, 547, 2327, 602, 519, 21266, 777, 807, 568, 5265, 11273, 543, 1863, 689, 1022, 4005, 902, 610, 21187, 602, 949, 581, 5739, 547, 519, 13131, 269, 3958, 267, 1932, 1454, 21266, 777, 807, 538, 513, 13131, 779, 2732, 666, 1291, 547, 606, 19261, 538, 741, 9422, 6981, 267, 607, 3099, 568, 1883, 547, 513, 1134, 25454, 2732, 563, 1432, 547, 1684, 952, 513, 31315, 661, 1846, 10162, 16556, 570, 559, 777, 807, 454, 2252, 513, 13131, 18417, 27499, 28777, 21266, 777, 807, 267, 621, 568, 3622, 711, 513, 2014, 585, 7525, 6161, 269, 1717, 267, 952, 1022, 8801, 6547, 610, 2589, 2049, 267, 621, 568, 1655, 547, 5077, 513, 16943, 945, 24870, 538, 20641, 269, 1358, 666, 1683, 3318, 5583, 543, 5796, 1759, 593, 519, 1808, 13131, 2249, 543, 922, 1367, 2115, 269, 898, 568, 2141, 5227, 547, 20093, 593, 519, 2427, 540, 13657, 543, 3343, 3318, 6351, 950, 538, 8969, 563, 6962, 281, 19047, 585, 30839, 10965, 1389, 10162, 16556, 570, 559, 777, 807, 454, 1103, 3932, 267, 28777, 21266, 777, 807, 666, 581, 513, 5078, 543, 14312, 1840, 547, 513, 13131, 779, 2732, 267, 3177, 621, 568, 5423, 7157, 543, 538, 20208, 269, 634, 9422, 1871, 621, 3091, 666, 3565, 547, 513, 7059, 2732, 585, 938, 1085, 3315, 15274, 269, 1717, 267, 621, 568, 2629, 547, 1382, 519, 1808, 8192, 4170, 540, 519, 13131, 2249, 538, 2243, 547, 2327, 741, 1134, 5630, 269, 7352, 1214, 568, 1883, 267, 543, 513, 3309, 2732, 9967, 540, 1114, 10352, 3688, 786, 948, 2226, 519, 13131, 779, 2949, 1072, 269, 1306, 3743, 13131, 5411, 267, 621, 568, 938, 10279, 547, 1683, 938, 10130, 609, 519, 1655, 2009, 1416, 267, 1519, 513, 1134, 25454, 543, 3617, 2732, 563, 14188, 596, 585, 10115, 707, 942, 538, 3695, 1496, 2457, 21234, 316, 593, 2052, 7232, 520, 3820, 269, 3776, 3804, 568, 547, 1683, 3988, 899, 596, 609, 9488, 543, 6325, 1344, 827, 1585, 8192, 3584, 269, 3962, 2376, 267, 1519, 1496, 2457, 21234, 3910, 11710, 689, 30190, 1382, 543, 513, 6612, 585, 1620, 519, 16082, 540, 938, 1426, 5079, 269, 1284, 3494, 602, 1702, 568, 513, 4105, 1900, 2509, 1818, 5483, 543, 2635, 3664, 269, 1717, 267, 1247, 834, 314, 2457, 21234, 316, 257, 24259, 1769, 593, 922 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 20660, 1535, 562, 29800, 604, 16288, 2008, 347, 13349, 8745, 1475, 290, 7394, 28693, 267, 1212, 23264, 661, 25045, 12643, 807, 267, 1212, 23264, 1714, 330, 1817, 333, 267, 1212, 23264, 4796, 601, 629, 571, 2030, 267, 4796, 601, 629, 571, 2030, 2008, 23277, 1155, 12025, 1475, 272, 268, 273, 10264, 269, 7381, 630, 785, 14995, 10245, 16085, 684, 22452, 1475, 17359, 267, 9864, 2008, 347, 3383, 559, 7392, 1475, 306, 22929, 267, 1134, 1673, 11712, 2008, 347, 3383, 559, 9063, 1475, 10907, 573, 545, 267, 9243, 267, 22279, 2008, 21270, 5979, 558, 5384, 1475, 306, 7428, 267, 4832, 2008, 26180, 12294, 7822, 1475, 303, 1074, 267, 13711, 2008, 347, 26773, 1465, 2098, 2158, 1475, 1015, 268, 1556, 7330, 2008, 30106, 16464, 640, 1475, 307, 16464, 547, 10130, 267, 6757, 547, 3425, 2008, 290, 7394, 595, 716, 639, 5516, 454, 290, 2130, 585, 513, 14147, 28693, 568, 5266, 3551, 267, 4352, 621, 1281, 8428, 5594, 689, 1034, 9390, 21728, 328, 543, 13151, 28684, 269, 901, 661, 25045, 12643, 807, 3575, 568, 811, 27031, 540, 695, 8014, 2175, 982, 1034, 661, 25045, 12643, 5362, 267, 543, 849, 3340, 811, 7928, 14450, 269, 3958, 267, 2094, 713, 30362, 568, 1500, 676, 16924, 21910, 532, 1079, 661, 25045, 12643, 807, 2371, 1927, 267, 621, 3112, 581, 9070, 730, 538, 519, 2757, 2631, 267, 971, 607, 998, 6565, 27191, 267, 6498, 267, 610, 676, 6079, 269, 769, 1931, 547, 1711, 1007, 14147, 28693, 2371, 267, 596, 1131, 991, 547, 1246, 519, 21910, 532, 1184, 563, 1607, 30362, 1281, 1655, 609, 7899, 540, 1769, 269, 1879, 3395, 519, 14147, 28693, 16280, 267, 3442, 513, 4087, 602, 4991, 1896, 3108, 540, 1463, 1769, 547, 5000, 6099, 2208, 269, 1403, 596, 3442, 547, 1332, 707, 14147, 28693, 13964, 1141, 519, 1769, 568, 811, 7920, 267, 513, 4087, 602, 568, 13148, 26484, 568, 1655, 269, 5269, 2386, 602, 596, 17967, 707, 2030, 5781, 630, 604, 596, 616, 3395, 621, 538, 11149, 264, 547, 2061, 561, 3591, 3660, 2208, 563, 2414, 2061, 936, 22476, 543, 1216, 8421, 3022, 3037, 3442, 513, 1769, 267, 1134, 1673, 20995, 3037, 3575, 602, 568, 29567, 609, 7899, 540, 829, 29411, 543, 5070, 269, 595, 716, 639, 543, 30362, 3037, 568, 2966, 4481, 585, 891, 2010, 540, 2371, 543, 2488, 6266, 540, 12775, 267, 855, 596, 666, 849, 1118, 707, 1378, 693, 1753, 952, 596, 6999, 269, 15439, 3575, 1927, 3160, 2694, 29238, 3037, 267, 829, 29411, 267, 543, 5070, 563, 763, 14147, 28693, 568, 711, 607, 10980, 2389, 26985, 607, 930, 540, 922, 2673, 14077, 538, 519, 661, 25045, 12643, 807, 1920, 269, 898, 1058, 711, 581, 4847, 547, 3819, 856, 543, 1281, 1655, 950, 530, 23926, 2899, 519, 1283, 476, 273, 547, 476, 275, 6279, 540, 3037, 568, 3819, 269, 1717, 267, 1810, 1406, 5855, 952, 596, 7340, 519, 17573, 14450, 607, 621, 666, 25483, 1394, 689, 5634, 5712, 540, 10980, 563, 307, 17687, 543, 9966, 7190, 454, 1607, 661, 25045, 12643, 807, 21593, 3636, 267, 3819, 2175, 799, 2306, 621, 1134, 25252, 1243, 547, 11255, 3395, 269, 2334, 1373, 1767, 267, 621, 666, 849, 581, 6738, 13964, 1032, 15778, 538, 22340, 10851, 476, 1015, 547, 476, 1556, 269, 17968, 267, 585, 25210, 602, 2661, 538, 21617, 4525, 267, 713, 30362, 666, 581, 6738, 13964, 1282, 519, 5614, 543, 4832, 543, 1287, 6410, 1394, 16280, 1282, 519, 669, 11035, 2887, 543, 5162, 3275, 269, 3680, 20392, 519, 14147, 28693, 547, 5210, 2630, 476, 2568, 5232, 18278, 630, 1428, 5232, 17622, 264, 547, 2061, 8380, 519, 2030, 883, 8710, 563, 763, 14147, 28693, 568, 711, 2808, 513, 1164, 1922, 3975, 518, 855, 666, 4324, 689, 930, 1769, 22289, 1282, 519, 5614, 543, 4832, 269, 15233, 513, 13226, 2966, 585, 21728, 328, 543, 13151, 28684, 2899, 513, 3923, 2394, 519, 2887, 543, 1287, 3247, 3156, 2394, 519, 1739, 5614, 563, 22025, 1154, 543, 3115, 31857, 4856, 531, 595, 716, 639, 454, 18814, 547, 519, 1249, 602, 891, 2371, 616, 21910, 539, 267, 789, 10355, 630, 604, 2479, 264, 856, 326, 992, 741, 17428, 269, 1717, 267, 621, 568, 1869, 513, 1434, 2856, 547, 1065, 582, 873, 1169, 1906, 1296, 547, 1683, 519, 2030, 609, 4195, 3037, 543, 909, 21653, 519, 1494, 952, 2877, 269, 27016, 2394, 519, 5614, 610, 4832, 3275, 950, 519, 2030, 568, 8362, 3395, 547, 1065, 582, 267, 607, 713, 786, 2061, 519, 2030, 689, 2469, 883, 8710, 563, 13349, 623, 3949, 543, 7233, 15302, 454, 19400, 856, 585, 1455, 2777, 8690, 10860, 899, 4336, 267, 803, 3315, 30471, 267, 17178, 21746, 267, 543, 30293, 799, 666, 782, 1491, 909, 15335, 593, 713, 661, 25045, 12643, 807, 269, 1403, 596, 5469, 10860, 593, 707, 2030, 267, 20586, 621, 689, 707, 824, 2371, 5612, 543, 4894, 1022, 10860, 596, 666, 1294, 609, 606, 4568, 27940, 8898, 10412, 2220, 629, 269, 1411, 666, 849, 946, 683, 655, 3282, 610, 5521, 15969, 547, 948, 1521, 811, 3978, 28383, 269, 769, 1840, 547, 891, 1455, 10860, 267, 14147, 21728, 328, 616, 849, 11630, 547, 3597, 4232, 799, 2356, 2164, 689, 7670, 23926, 2175, 563, 13349, 10819, 2060, 4856, 531, 595, 716, 639, 454, 24916, 930, 1455, 2777, 8690, 10860, 543, 3676, 267, 12391, 585, 519, 14147, 28693, 568, 5266, 2241, 543, 1966, 6954, 269, 1717, 267, 972, 616, 513, 7008, 1455, 2042, 547, 4585, 856, 585, 267, 1519, 5835, 532, 267, 543, 6960, 9634, 3384, 593, 519, 3597, 18450, 610, 1283, 30160, 540, 519, 2030, 563, 2252, 707, 14147, 28693, 568, 7432, 5835, 621, 568, 2693, 602, 519, 2030, 568, 7092, 689, 936, 22476, 269, 2755, 891, 13151, 28684, 2972, 811, 7928, 14450, 982, 930, 824, 2010, 540, 661, 25045, 12643, 5362, 267, 789, 1058, 1869, 581, 4847, 547, 3819, 5594, 1063, 1216, 902, 543, 1058, 2760, 581, 6854, 538, 9846, 5848, 3037, 2175, 269, 1403, 596, 14353, 936, 22476, 568, 519, 27521, 267, 1065, 582, 707, 14147, 28693, 609, 4195, 267, 3819, 3037, 5612, 563, 31342, 9634, 666, 1397, 909, 593, 707, 2030, 538, 1079, 1114, 2081, 32737, 6960, 1660, 1506, 9634, 267, 610, 607, 2182, 2989, 2048, 322, 5142, 6853, 23302, 685, 9634, 269, 4934, 540, 519, 1079, 267, 6960, 1660, 1506, 9634, 616, 676, 2484, 519, 811, 7282, 1267, 543, 616, 2356, 606, 16315, 540, 930, 2186, 540, 4232, 610, 16507, 3968, 269, 3689, 1919, 1101, 281, 621, 779, 513, 1434, 2856, 547, 2638, 519, 5072, 540, 707, 2030, 538, 1931, 547, 4341, 856, 3597, 4232, 269, 1403, 3597, 4232, 568, 711, 519, 27521, 1287, 621, 779, 2693, 602, 707, 14147, 28693, 568, 7092, 689, 513, 16507, 3968, 267, 693, 799, 1448, 5969, 856, 519, 4299, 1858, 568, 519, 1655, 1576, 540, 2962, 563, 29995, 267, 2182, 6960, 9634, 616, 1447, 7282, 543, 616, 3006, 1175, 513, 2048, 24249, 685, 593, 519, 2030, 779, 2960, 689, 513, 3105, 10138, 602, 646, 4705, 936, 269, 1358, 666, 849, 581, 513, 1267, 540, 3141, 14315, 799, 1522, 2049, 952, 707, 2030, 568, 10393, 6410, 689, 513, 695, 8014, 4087, 547, 606, 5393, 6505, 4087, 563, 1692, 2462, 1281, 513, 14147, 28693, 1332, 888, 4322, 21910, 539, 2371, 10355, 1332, 26339, 982, 476, 272, 547, 476, 273, 3952, 7381, 269, 2755, 519, 21910, 532, 1184, 6707, 10905, 1079, 5094, 2371, 602, 786, 2661, 593, 607, 835, 267, 9444, 2030, 786, 3136, 547, 1332, 547, 922, 2407, 1761, 2899, 21910, 539, 1927, 269, 901, 1797, 602, 519, 14147, 28693, 568, 1419, 811, 540, 513, 16560, 2030, 982, 513, 2030, 602, 596, 666, 4585, 1332, 936, 942, 563, 3963, 568, 1250, 14147, 28693, 7432, 11909, 888, 20245, 2566, 666, 2014, 519, 1283, 6712, 540, 513, 14147, 28693, 547, 1376, 7432, 11909, 269, 2755, 621, 4992, 3983, 267, 2566, 3884, 1406, 8209, 513, 3983, 3364, 585, 513, 2030, 4352, 621, 568, 2356, 606, 16315, 602, 1945, 538, 519, 2030, 779, 3395, 1604, 814, 4957, 269, 1280, 1383, 267, 952, 596, 5063, 6410, 707, 14147, 28693, 689, 513, 13148, 26484, 4087, 547, 513, 6505, 4087, 596, 949, 5469, 922, 4778, 1689, 269, 1306, 1279, 607, 519, 2030, 779, 2949, 2175, 616, 1869, 15502, 707, 2030, 568, 2693, 2469, 547, 581, 5386, 269, 1717, 267, 952, 596, 616, 14126, 596, 666, 2119, 547, 3313, 799, 1689, 568, 4929, 519, 2566, 543, 9258, 621, 563, 3963, 568, 1250, 14147, 28693, 3395, 8371, 543, 3762, 888, 2252, 596, 723, 1185, 707, 14147, 28693, 585, 513, 1279, 942, 267, 621, 568, 711, 16613, 585, 621, 547, 1376, 3395, 1007, 8371, 543, 3762, 689, 519, 5377, 6565, 540, 519, 2030, 269, 901, 568, 513, 2067, 11144, 540, 519, 2208, 540, 519, 661, 25045, 12643, 807, 562, 29800, 604, 16288, 799, 2306, 909, 519, 3597, 18450, 540, 519, 14147, 28693, 269, 2755, 621, 949, 1689, 519, 2949, 1413, 540, 707, 14147, 28693, 267, 621, 568, 513, 1129, 602, 519, 2030, 568, 6126, 543, 3395, 1134, 269, 1403, 596, 1810, 1406, 899, 519, 1413, 540, 621, 267, 596, 666, 2141, 4894, 519, 8371, 1210, 513, 8325, 6292, 540, 18309, 1352, 1513, 610, 23805, 269, 0, 12901, 541, 8157, 512, 1716, 267, 2871, 807, 632, 13056, 10044, 269, 681, 25917, 2419, 850, 454, 301, 558, 3691, 595, 1304, 881, 334, 281, 3857, 339, 1092, 454, 291, 8780, 6020, 289, 28513, 5442, 8863, 11223, 912, 12901, 541, 18377, 267, 543, 7654, 538, 519, 7013, 1858, 563, 3674, 4133, 543, 22586, 17822, 543, 2392, 2958, 657, 553, 563, 21920, 281, 476, 4375, 910, 476, 6078, 524, 916, 563, 25802, 2147, 547, 3162, 1977, 570, 1716, 630, 307, 1716, 1040, 898, 15320, 676, 2348, 10156, 7953, 267, 6094, 543, 1373, 513, 2370, 4819, 269, 898, 568, 2009, 602, 1312, 14797, 789, 7237, 538, 519, 3665, 5045, 267, 855, 972, 568, 513, 7279, 281, 1281, 711, 1847, 5087, 593, 519, 7414, 2427, 267, 3079, 4422, 547, 8478, 593, 519, 9533, 2427, 563, 25802, 2352, 547, 16174, 538, 519, 1647, 563, 15575, 1845, 1141, 2729, 717, 822, 3999, 514, 4165, 5451, 4135, 4815, 0, 1708, 273, 268, 2537, 5729, 476, 275, 4804, 454, 8702, 547, 5729, 476, 275, 781, 4804, 8525, 454, 2080, 267, 596, 786, 1265, 856, 827, 782, 938, 15999, 1565, 543, 3872, 15413, 3547, 256, 901, 1032, 267, 649, 786, 581, 11018, 1702, 593, 513, 3309, 2039, 540, 3584, 267, 6721, 3860, 543, 2502, 4773, 1603, 267, 17516, 938, 2053, 7515, 543, 18167, 4514, 883, 519, 1158, 540, 1966, 6061, 2336, 2467, 616, 930, 13561, 6054, 585, 596, 547, 2070, 547, 2285, 596, 513, 2370, 811, 1469, 593, 938, 2165, 569, 543, 21496, 4566, 2336, 2080, 616, 513, 1906, 6402, 547, 7270, 585, 513, 2039, 540, 2296, 267, 13004, 543, 824, 1225, 14152, 2238, 799, 596, 666, 946, 547, 26821, 519, 1983, 649, 4001, 693, 1153, 610, 1256, 547, 1175, 5490, 883, 824, 5396, 2336, 1103, 2296, 267, 938, 1565, 786, 581, 1044, 1759, 593, 519, 2835, 20646, 2880, 6004, 16737, 543, 634, 8187, 31584, 269, 1284, 786, 2328, 938, 1378, 6386, 782, 827, 6004, 16737, 8840, 883, 6519, 327, 718, 547, 21102, 1426, 269, 1284, 786, 849, 1491, 851, 538, 9840, 543, 1711, 930, 8748, 11247, 269, 1284, 786, 1224, 513, 1875, 7302, 1258, 1670, 1867, 827, 519, 11848, 2943, 328, 543, 2328, 827, 938, 1378, 16545, 818, 8157, 7068, 269, 1284, 786, 723, 513, 1390, 942, 1210, 10388, 2553, 543, 1893, 547, 1711, 6978, 7410, 585, 519, 8187, 9255, 5741, 563, 1103, 13174, 713, 2165, 267, 649, 786, 1020, 938, 1702, 543, 1620, 540, 8691, 543, 6498, 269, 1284, 786, 1445, 593, 1565, 938, 2053, 7515, 267, 1210, 3815, 8424, 543, 3384, 513, 2039, 540, 2790, 2994, 547, 948, 721, 9062, 269, 1284, 786, 849, 1413, 693, 6101, 2409, 585, 8691, 543, 6498, 971, 607, 519, 7470, 1505, 543, 2110, 6498, 269, 1284, 786, 1020, 938, 1966, 6061, 543, 7744, 1983, 998, 513, 2039, 540, 24090, 995, 13812, 6273, 2042, 2336, 1607, 2165, 538, 3163, 267, 649, 786, 581, 1565, 827, 2713, 1919, 543, 741, 9249, 269, 1284, 786, 1451, 827, 519, 5722, 1272, 3157, 602, 3313, 952, 1945, 568, 513, 2713, 11248, 267, 1354, 3001, 593, 547, 1413, 693, 1114, 2249, 540, 3662, 269, 1284, 786, 1711, 8760, 10569, 547, 19665, 519, 2249, 649, 1336, 269, 1284, 786, 1451, 827, 1426, 11800, 543, 875, 835, 1689, 538, 519, 1426, 5832, 666, 1764, 782, 519, 824, 4448, 2249, 269, 1284, 8737, 519, 2165, 3168, 693, 14624, 543, 2870, 938, 1378, 7068, 2523, 9862, 547, 741 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 634, 3933, 1399, 8065, 9046, 2913, 521, 5269, 589, 20958, 281, 513, 3014, 1397, 692, 2162, 476, 278, 269, 272, 31401, 267, 12726, 28805, 267, 543, 15638, 692, 278, 269, 272, 31401, 267, 12726, 28805, 267, 543, 15638, 1323, 4603, 568, 606, 2534, 602, 814, 28507, 2164, 269, 6201, 281, 570, 1601, 532, 513, 11777, 267, 12902, 18062, 267, 16116, 27371, 856, 540, 513, 20220, 267, 3092, 269, 634, 1267, 540, 606, 4603, 692, 2162, 589, 269, 476, 1428, 645, 269, 476, 2190, 595, 269, 476, 3393, 667, 269, 476, 7918, 692, 288, 8095, 1676, 568, 5258, 883, 476, 279, 3160, 6810, 269, 700, 4673, 30809, 519, 8095, 1676, 476, 6344, 2053, 269, 898, 3338, 593, 13711, 476, 1789, 2053, 269, 1215, 1082, 811, 2053, 1281, 700, 4673, 991, 547, 8095, 519, 8095, 1676, 543, 723, 621, 2244, 593, 13711, 585, 519, 3448, 692, 2162, 6657, 476, 280, 268, 272, 269, 17438, 692, 20797, 476, 280, 268, 272, 17438, 1411, 8095, 513, 8095, 1676, 22921, 476, 272, 998, 476, 1015, 269, 3962, 6364, 568, 8449, 2693, 269, 4855, 519, 17831, 2630, 607, 513, 6824, 267, 8918, 267, 543, 2600, 269, 476, 272, 269, 623, 263, 280, 264, 476, 273, 269, 623, 16216, 1597, 264, 476, 274, 269, 623, 28840, 476, 275, 269, 623, 9852, 738, 2118, 692, 2162, 25043, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 692, 28062, 725, 547, 10789, 769, 4147, 281, 15766, 908, 17438, 8745, 11261, 1215, 666, 594, 946, 5506, 547, 1118, 11236, 286, 5620, 596, 2479, 6836, 547, 3589, 799, 11176, 2319, 786, 3094, 513, 2462, 3014, 286, 1403, 865, 267, 596, 4440, 692, 2162, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 780, 19138, 6651, 585, 4530, 8633, 630, 21316, 295, 476, 14321, 271, 264, 8745, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 4855, 519, 1297, 540, 29162, 540, 519, 1305, 269, 476, 272, 264, 2715, 343, 1535, 568, 606, 1256, 692, 2162, 5254, 3036, 476, 14028, 13823, 2563, 10803, 269, 17976, 476, 1015, 281, 15932, 1145, 543, 17438, 7844, 692, 763, 6167, 4353, 8991, 14510, 540, 715, 3036, 8025, 27334, 5357, 2562, 288, 693, 8863, 4338, 5085, 670, 21135, 5254, 3036, 476, 14028, 13823, 2563, 10803, 17976, 476, 1015, 281, 15932, 1145, 543, 17438, 7844, 476, 1015, 270, 277, 270, 6021, 17976, 476, 1015, 476, 272, 634, 3933, 1399, 8065, 9046, 2913, 521, 5269, 589, 20958, 281, 513, 3014, 1397, 692, 2162, 29329, 4569, 19449, 3380, 5437, 476, 272, 267, 476, 1001, 278, 17438, 594, 692, 1103, 23059, 4569, 19449, 3380, 5437, 476, 272, 267, 476, 1001, 278, 17438, 594, 17438, 568, 519, 1353, 540, 7334, 2621, 610, 4093, 269, 10632, 540, 4960, 602, 4125, 12902, 18062, 610, 7231, 6486, 616, 835, 6654, 1858, 540, 3498, 780, 2162, 570, 297, 303, 570, 8008, 30263, 4916, 11123, 30312, 17698, 29865, 306, 1299, 11550, 289, 5723, 6579, 14510, 692, 307, 297, 303, 570, 8008, 30263, 4916, 11123, 30312, 17698, 29865, 306, 1299, 11550, 289, 5723, 6579, 14510, 3220, 570, 808, 12313, 267, 476, 1001, 272, 3689, 267, 930, 1271, 1913, 282, 917, 1018, 789, 1611, 630, 1326, 2576, 547, 1449, 596, 2567, 6399, 519, 2040, 540, 519, 1239, 2418, 5258, 676, 519, 1297, 540, 3688, 780, 2162, 476, 274, 269, 513, 269, 623, 263, 19009, 264, 815, 267, 610, 269, 536, 269, 6902, 519, 5506, 540, 7446, 513, 3043, 3625, 269, 546, 269, 623, 263, 19009, 264, 815, 267, 610, 269, 476, 275, 269, 513, 269, 815, 476, 272, 536, 269, 476, 271, 524, 269, 815, 476, 271, 692, 9172, 9955, 27148, 31984, 12143, 932, 7860, 9046, 269, 11759, 267, 476, 277, 4033, 22627, 267, 6987, 5014, 9046, 269, 11759, 476, 277, 4033, 22627, 476, 278, 6902, 796, 817, 11220, 5079, 689, 3105, 2042, 9046, 269, 11759, 476, 278, 476, 280, 4033, 22627, 692, 2162, 476, 277, 264, 589, 264, 1312, 282, 6126, 645, 264, 9444, 282, 711, 6126, 595, 264, 835, 282, 6126, 667, 264, 835, 282, 711, 6126, 692, 21316, 295, 476, 876, 4534, 11553, 3722, 2316, 4753, 570, 12239, 476, 273, 7085, 619, 6807, 2160, 267, 11354, 476, 1708, 27050, 772, 18037, 267, 769, 1598, 269, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 4855, 782, 2067, 692, 2162, 22444, 31631, 14473, 476, 273, 12968, 832, 9625, 7689, 476, 280, 269, 273, 8018, 2271, 549, 547, 17438, 692, 306, 4488, 31631, 14473, 476, 273, 12968, 832, 9625, 7689, 476, 280, 269, 273, 8018, 2271, 549, 547, 17438, 8745, 11270, 3503, 782, 17831, 607, 8454, 538, 4389, 1106, 256, 2422, 519, 2016, 1344, 547, 2347, 2042, 476, 272, 268, 274, 269, 12866, 1053, 723, 519, 692, 2162, 3848, 30150, 2055, 269, 17438, 269, 476, 272, 269, 5565, 11113, 616, 19184, 539, 8195, 269, 4855, 519, 5506, 540, 3478, 4010, 835, 2766, 780, 23536, 1464, 476, 272, 269, 5565, 11113, 616, 19184, 539, 8195, 269, 4855, 519, 5506, 540, 3478, 4010, 835, 2766, 269, 476, 273, 269, 476, 2918, 6486, 6825, 609, 2296, 5022, 589, 547, 2098, 630, 821, 4484, 593, 1142, 3556, 264, 616, 695, 4428, 1194, 1134, 269, 1403, 835, 692, 2162, 32516, 476, 273, 11550, 289, 5723, 6579, 14510, 269, 476, 273, 269, 272, 12726, 6611, 269, 476, 273, 269, 273, 15638, 692, 6224, 22790, 476, 273, 11550, 289, 5723, 6579, 14510, 476, 273, 269, 272, 12726, 6611, 589, 5506, 2203, 5161, 540, 519, 3732, 2230, 543, 519, 1259, 547, 3651, 17831, 269, 12726, 2230, 1299, 3732, 1448, 634, 3732, 2230, 590, 267, 568, 519, 1305, 540, 782, 2009, 4093, 692, 2162, 10789, 594, 11872, 5149, 2290, 281, 7464, 7089, 3590, 692, 306, 22690, 16086, 20505, 281, 476, 272, 269, 272, 634, 2875, 786, 10891, 8579, 1239, 998, 519, 946, 540, 14290, 630, 5976, 543, 1510, 2029, 1040, 476, 272, 269, 273, 634, 2875, 786, 1685, 1840, 267, 12408, 267, 543, 22185, 8691, 692, 2162, 3345, 22208, 7991, 5441, 15604, 661, 4041, 16774, 14473, 5254, 288, 2316, 306, 23154, 476, 28360, 278, 13878, 295, 8791, 476, 4962, 267, 6657, 5999, 585, 4530, 476, 273, 3848, 476, 274, 543, 476, 275, 692, 22139, 22208, 7991, 5441, 15604, 476, 1001, 273, 661, 4041, 16774, 14473, 5254, 288, 2316, 306, 23154, 476, 28360, 278, 13878, 295, 476, 11820, 910, 8791, 476, 4962, 267, 6657, 5999, 585, 4530, 476, 273, 3848, 476, 274, 543, 476, 275, 476, 272, 269, 4147, 1518, 1142, 3948, 607, 606, 1383, 540, 12170, 5506, 10484, 2162, 3848, 476, 274, 281, 11550, 289, 5723, 6579, 14510, 692, 6637, 476, 274, 4569, 476, 17168, 272, 476, 272, 476, 274, 269, 272, 10289, 17438, 281, 623, 16216, 1203, 264, 815, 3848, 476, 274, 281, 11550, 289, 5723, 6579, 14510, 1297, 540, 4093, 7957, 24461, 547, 519, 2680, 2698, 1297, 540, 4093, 538, 519, 3732, 2230, 1323, 2680, 568, 1022, 4015, 540, 692, 2162, 27491, 281, 7994, 519, 1655, 2626, 543, 12094, 538, 519, 7222, 4484, 593, 519, 2626, 6656, 3177, 269, 2142, 2386, 547, 1331, 707, 2012, 543, 2875, 9517, 780, 13043, 476, 17168, 272, 5149, 476, 274, 17438, 4530, 476, 272, 5149, 4530, 8745, 281, 3487, 476, 272, 29120, 15863, 281, 27491, 281, 7994, 519, 1655, 2626, 543, 12094, 538, 519, 7222, 4484, 593, 519, 2626, 6656, 3177, 269, 2142, 2386, 547, 1331, 692, 2162, 17438, 269, 3220, 269, 18681, 16110, 5069, 1133, 643, 780, 23536, 1464, 256, 3220, 269, 18681, 16110, 5069, 1133, 643, 269, 476, 272, 17438, 281, 7291, 4985, 256, 15331, 267, 2680, 267, 3732, 2230, 256, 17438, 540, 2621, 256, 12433, 17438, 256, 3414, 10203, 256, 5681, 4341, 543, 2489, 2040, 4341, 2439, 2162, 17438, 543, 15932, 1145, 269, 4303, 476, 272, 692, 23536, 1464, 543, 15932, 1145, 4303, 476, 272, 15932, 1145, 543, 17438, 634, 6128, 540, 4960, 568, 1572, 269, 634, 5506, 540, 1022, 6364, 540, 513, 4960, 1184, 568, 513, 1297, 1063, 602, 6257, 519, 8167, 540, 692, 2162, 11822, 17438, 269, 14880, 6519, 269, 476, 2764, 628, 5181, 476, 1001, 277, 692, 26594, 17438, 14880, 6519, 476, 2764, 628, 5181, 476, 1001, 277, 11525, 3809, 616, 513, 6310, 1259, 547, 4766, 606, 7334, 6364, 269, 1280, 552, 2217, 267, 15475, 513, 21997, 30477, 6233, 476, 1015, 267, 1822, 8444, 540, 606, 3693, 589, 267, 543, 692, 2162, 17438, 29896, 14871, 521, 15015, 692, 23536, 1464, 29896, 14871, 521, 15015, 11657, 566, 540, 2934, 543, 6165, 585, 17438, 29896, 14645, 476, 1220, 271, 11759, 344, 13177, 543, 681, 755, 344, 25538, 1676, 476, 272, 7305, 540, 12937, 476, 272, 269, 4937, 5590, 1575, 476, 274, 476, 273, 269, 3213, 514, 8791, 476, 275, 692, 2162, 8791, 11933, 3749, 543, 21885, 17438, 1862, 310, 802, 476, 274, 692, 11243, 281, 4147, 281, 11261, 281, 8791, 476, 277, 269, 279, 27401, 31628, 3749, 543, 21885, 17438, 1862, 310, 802, 476, 274, 269, 20640, 11084, 22921, 689, 547, 476, 279, 616, 5116, 538, 513, 11127, 269, 2290, 3440, 568, 5697, 693, 4351, 269, 4855, 519, 5506, 602, 621, 692, 2162, 901, 17438, 13268, 564, 5617, 29330, 547, 1384, 1607, 17438, 13268, 564, 5617, 29330, 547, 281, 476, 272, 476, 273, 13749, 1948, 272, 281, 631, 1299, 631, 521, 476, 272, 269, 1548, 568, 519, 3732, 2230, 540, 707, 9126, 540, 631, 261, 300, 521, 286, 476, 273, 269, 4855, 519, 7811, 5506, 540, 519, 631, 261, 300, 521, 538, 707, 9126, 269, 3973, 267, 1747, 519, 17711, 1394, 883, 692, 2162, 12634, 9119, 4569, 476, 9818, 271, 12726, 11929, 594, 30667, 5384, 23423, 281, 476, 3445, 3687, 2373, 3143, 2480, 337, 2255, 7433, 18185, 14190, 539, 281, 11660, 692, 28757, 9119, 4569, 476, 9818, 271, 12726, 11929, 594, 30667, 476, 1724, 268, 1428, 5384, 23423, 281, 476, 3445, 3687, 2373, 3143, 2480, 337, 2255, 7433, 18185, 14190, 539, 281, 11660, 8745, 281, 634, 1448, 1871, 540, 1142, 1966, 568, 538, 519, 2451, 11804, 14345, 780, 2162, 13878, 295, 22295, 7728, 21398, 10498, 269, 476, 278, 628, 6103, 5149, 476, 277, 692, 21316, 295, 22295, 7728, 21398, 10498, 476, 278, 628, 6103, 5149, 476, 277, 5149, 476, 277, 17438, 543, 8641, 532, 4569, 476, 3583, 277, 17438, 543, 8641, 532, 4985, 476, 274, 476, 272, 269, 17438, 476, 276, 11933, 3749, 17438, 476, 276, 21885, 17438, 476, 1724, 12726, 6611, 476, 736, 692, 2162, 8745, 281, 5149, 476, 278, 5530, 6651, 476, 272, 269, 2422, 519, 8095, 1676, 547, 2012, 519, 2681, 602, 13352, 1142, 540, 519, 1739, 6898, 780, 272, 269, 2422, 519, 8095, 1676, 547, 2012, 519, 2681, 602, 13352, 1142, 540, 519, 1739, 6898, 269, 3039, 4544, 3043, 3043, 4544, 513, 269, 634, 8095, 1676, 786, 2244, 593, 713, 2681, 827, 607, 1419, 607, 621, 3338, 593, 3043, 269, 536, 269, 634, 4960, 540, 692, 2162, 594, 269, 18040, 2969, 4959, 11550, 289, 5723, 6579, 14510, 2496, 290, 670, 22790, 476, 274, 11550, 288, 6579, 14510, 15932, 31401, 594, 269, 18040, 2969, 4959, 11550, 288, 6579, 14510, 286, 634, 4365, 2006, 593, 476, 1015, 522, 9219, 3377, 1982, 2829, 602, 972, 568, 513, 476, 736, 260, 4960, 602, 621, 786, 6777, 14182, 267, 513, 476, 4792, 260, 4960, 602, 621, 786, 4764, 543, 692, 2162, 10789, 476, 273, 11872, 8791, 476, 1015, 269, 272, 281, 15233, 519, 25478, 20232, 543, 18983, 20706, 692, 31580, 476, 273, 11872, 8791, 476, 1015, 269, 272, 281, 15233, 519, 25478, 20232, 543, 18983, 20706, 20638, 4433, 2567, 18500, 281, 594, 269, 27284, 25478, 20232, 281, 5565, 15638, 281, 8422, 610, 811, 15638, 281, 4083, 269, 18983, 16615, 281, 630, 9008, 540, 533, 269, 476, 6924, 275, 2020, 2162, 14581, 1948, 272, 268, 866, 281, 2422, 519, 25478, 20232, 547, 2626, 519, 1739, 2055, 780, 4089, 476, 275, 269, 274, 281, 10326, 30894, 543, 519, 25478, 20232, 14581, 1948, 272, 268, 866, 281, 2422, 519, 25478, 20232, 547, 2626, 519, 1739, 2055, 269, 476, 272, 264, 1403, 1079, 7389, 616, 5697, 693, 4351, 689, 519, 476, 18458, 2395, 540, 519, 1032, 692, 2162, 16294, 543, 12810, 27159, 630, 8138, 338, 1115, 264, 540, 519, 12726, 6611, 630, 26536, 531, 5590, 2020, 1321, 269, 274, 543, 476, 1321, 269, 275, 11872, 16387, 476, 272, 12810, 2719, 519, 12726, 6611, 1210, 966, 3317, 30894, 589 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 593, 519, 17689, 543, 2046, 2048, 9359, 685, 538, 519, 1239, 19883, 3301, 563, 1321, 264, 2913, 519, 4603, 2196, 585, 476, 1240, 3764, 563, 1724, 264, 1879, 519, 942, 814, 5293, 267, 2046, 2048, 1805, 641, 685, 538, 519, 1239, 19883, 3301, 543, 771, 3430, 778, 519, 5135, 524, 16428, 689, 519, 598, 673, 1166, 2532, 563, 1691, 264, 23680, 519, 1166, 2532, 585, 513, 1906, 3764, 563, 1428, 264, 19244, 3268, 476, 277, 547, 476, 1724, 585, 519, 824, 2681, 6882, 563, 12606, 589, 32142, 568, 320, 1769, 8515, 593, 15591, 552, 9248, 610, 8261, 338, 454, 7072, 7464, 2622, 4296, 8752, 8515, 568, 513, 3815, 538, 519, 2557, 540, 15591, 267, 799, 568, 519, 2504, 540, 2241, 14836, 689, 3327, 8166, 543, 1216, 267, 4929, 519, 5305, 540, 4006, 543, 5135, 563, 31688, 657, 11853, 1769, 8515, 7634, 910, 1133, 1853, 810, 6693, 21900, 657, 11853, 1769, 8515, 267, 1769, 18679, 1691, 270, 4905, 270, 1001, 279, 5788, 634, 12186, 540, 8752, 2271, 3748, 543, 20613, 767, 2654, 593, 519, 15580, 540, 16071, 11853, 454, 10468, 340, 19868, 11576, 832, 1923, 3026, 340, 19868, 2845, 3455, 8596, 2709, 513, 16221, 6693, 294, 17698, 3163, 10613, 630, 288, 304, 288, 4959, 288, 994, 288, 304, 288, 1923, 23722, 1923, 10334, 1923, 13595, 1543, 454, 294, 17698, 3163, 2409, 3226, 14018, 547, 589, 304, 288, 23722, 2257, 4959, 288, 17440, 4559, 454, 19285, 723, 2141, 1044, 24330, 676, 519, 2656, 2490, 19925, 543, 707, 9488, 1145, 269, 31418, 1176, 519, 1034, 3318, 1557, 1603, 3028, 593, 519, 1357, 4799, 257, 7312, 6351, 543, 519, 1101, 1362, 3028, 568, 1454, 15874, 269, 3733, 1557, 14509, 865, 1134, 543, 1510, 707, 948, 594, 6415, 2386, 594, 1131, 723, 1044, 6825, 1524, 1586, 593, 8239, 543, 16105, 4799, 257, 12552, 1586, 585, 707, 5140, 960, 609, 1250, 10467, 269, 3143, 22027, 596, 2811, 3020, 4966, 693, 1018, 596, 798, 543, 1360, 3839, 4799, 257, 25802, 3318, 267, 10464, 543, 7874, 3028, 269, 8729, 585, 1603, 1079, 1271, 3594, 585, 803, 267, 594, 9327, 1405, 723, 2854, 621, 8885, 1317, 540, 519, 9395, 21120, 4799, 257, 12552, 585, 707, 18762, 3750, 267, 3007, 547, 1469, 543, 2949, 24077, 3028, 269, 8729, 547, 596, 267, 1631, 594, 993, 8746, 602, 594, 666, 10505, 1250, 2165, 1957, 593, 942, 4799, 257, 14188, 596, 585, 519, 24321, 2969, 960, 596, 723, 2944, 269, 3807, 4941, 547, 2995, 602, 594, 6415, 1360, 6126, 609, 1250, 1557, 543, 786, 1205, 1394, 609, 811, 10467, 4166, 1701, 0, 296, 7012, 1406, 5423, 585, 519, 1523, 602, 972, 1522, 581, 24455, 602, 9327, 1406, 1616, 547, 8661, 4516, 779, 476, 5611, 628, 14512, 563, 296, 723, 1044, 3168, 4464, 547, 713, 16683, 1032, 2094, 1250, 6689, 269, 11109, 9411, 519, 1158, 1175, 936, 2947, 1296, 1310, 519, 476, 3422, 278, 1298, 27812, 16873, 267, 594, 729, 22992, 9599, 1282, 1250, 2038, 3446, 17469, 1296, 950, 594, 7691, 602, 594, 1131, 1869, 581, 5266, 1762, 1107, 476, 4510, 267, 2469, 593, 476, 3393, 1107, 950, 938, 1390, 4182, 5828, 476, 5611, 269, 630, 20118, 267, 594, 899, 519, 2219, 602, 594, 1522, 2965, 581, 540, 21230, 3280, 2247, 543, 1560, 952, 594, 6557, 1869, 9800, 950, 4516, 16125, 519, 476, 11260, 4458, 1665, 267, 711, 547, 2446, 519, 3544, 4960, 602, 594, 1223, 3914, 938, 22833, 550, 27812, 538, 476, 18684, 278, 8094, 3383, 621, 779, 1044, 771, 935, 32662, 532, 585, 803, 547, 8275, 602, 513, 1713, 6712, 540, 519, 2551, 3085, 1406, 1294, 5147, 476, 272, 607, 513, 3226, 6126, 1554, 543, 7959, 649, 2461, 7508, 513, 2484, 811, 1271, 24182, 1107, 4481, 267, 4516, 779, 705, 13092, 2146, 563, 7021, 519, 2250, 1032, 267, 649, 4076, 4862, 513, 3395, 1297, 540, 6898, 689, 519, 3689, 8315, 6575, 543, 2528, 5823, 267, 607, 1134, 607, 922, 2489, 5718, 267, 547, 7618, 721, 782, 602, 519, 1686, 540, 1018, 649, 1631, 5581, 607, 4516, 7389, 1394, 10199, 476, 1724, 267, 1822, 547, 476, 1428, 267, 1822, 1296, 1354, 32700, 563, 16914, 558, 11952, 532, 891, 3140, 18589, 1667, 568, 519, 1989, 574, 4641, 602, 1071, 4725, 2787, 8942, 1063, 713, 2244, 779, 3312, 11317, 543, 922, 8545, 6377, 2855, 11040, 1131, 6961, 11552, 6470, 693, 1655, 543, 1524, 2431, 27337, 881, 267, 536, 867, 1359, 593, 30739, 21393, 267, 693, 10782, 563, 28495, 3753, 2663, 267, 741, 18939, 1869, 6560, 547, 2097, 547, 2474, 609, 9583, 1532, 553, 545, 2533, 971, 607, 2973, 6704, 1216, 585, 3689, 8315, 2950, 269, 1358, 8749, 741, 3952, 593, 519, 19018, 622, 14897, 766, 543, 12638, 540, 6805, 2021, 543, 835, 540, 519, 6574, 695, 1868, 540, 713, 1107, 610, 1022, 1107, 4182, 267, 4516, 779, 10821, 1153, 1062, 563, 296, 729, 27337, 1881, 547, 8275, 267, 3842, 513, 17245, 595, 4331, 543, 594, 14478, 519, 3781, 1354, 594, 5206, 713, 6241, 267, 602, 10821, 3506, 1869, 11478, 538, 713, 2197, 2394, 476, 1960, 277, 269, 8307, 476, 2641, 1296, 3516, 269, 594, 723, 1100, 2856, 875, 1022, 2244, 2527, 10912, 3294, 513, 3540, 1242, 2197, 1223, 1450, 713, 547, 2049, 693, 782, 267, 1577, 4805, 1282, 938, 3076, 564, 1307, 563, 4517, 2943, 1934, 649, 616, 267, 28277, 6000, 538, 519, 8225, 9206, 267, 605, 8010, 532, 547, 519, 1158, 602, 23600, 568, 513, 1686, 543, 2528, 602, 3085, 1406, 1350, 528, 1518, 5208, 543, 3091, 4316, 543, 3354, 585, 782, 563, 3086, 267, 594, 6557, 711, 2469, 547, 1694, 1934, 543, 2995, 596, 594, 4076, 10393, 11074, 14120, 4516, 779, 28140, 638, 545, 550, 27812, 269, 594, 798, 267, 2705, 267, 5431, 602, 621, 779, 711, 607, 2241, 607, 1688, 532, 2576, 513, 4062, 540, 2699, 543, 3043, 14735, 543, 24584, 5553, 685, 4502, 540, 2042, 547, 10393, 14897, 563, 8253, 1169, 14512, 568, 513, 6126, 14512, 269, 6875, 519, 595, 753, 334, 20531, 3118, 779, 476, 2004, 628, 16683, 16873, 269, 594, 729, 4378, 10696, 547, 581, 1851, 1346, 8380, 1927, 606, 16529, 1592, 540, 3140, 543, 2686, 2238, 585, 513, 3018, 17489, 5428, 602, 21401, 1472, 519, 26463, 1858, 563, 3719, 594, 729, 849, 4230, 15903, 547, 1451, 602, 1082, 1004, 538, 938, 1858, 4769, 1406, 2671, 1250, 15131, 1107, 4481, 267, 519, 2950, 540, 25109, 6588, 557, 543, 8672, 16515, 3899, 267, 799, 941, 11014, 4957, 676, 519, 1439, 540, 519, 840, 4211, 1021, 3118, 7542, 787, 3028, 538, 476, 4198, 276, 563, 28074, 547, 1250, 9983, 267, 519, 1592, 540, 29926, 619, 849, 3769, 519, 21007, 685, 14790, 1177, 2146, 269, 1879, 594, 30409, 513, 2199, 705, 13092, 7376, 547, 2015, 10283, 538, 513, 968, 290, 1021, 3118, 9919, 559, 573, 327, 892, 2966, 547, 8661, 519, 1858, 779, 1082, 4529, 267, 646, 5612, 15653, 803, 267, 30418, 602, 4516, 779, 3689, 8315, 14201, 1406, 31570, 676, 24455, 3238, 609, 519, 2014, 3118, 779, 4070, 563, 296, 729, 31945, 11398, 539, 269, 634, 26463, 540, 595, 753, 334, 729, 1896, 12919, 2476, 689, 1022, 21007, 685, 14790, 1177, 2146, 594, 1223, 4952, 269, 4208, 1131, 789, 991, 547, 581, 31570, 888, 296, 4769, 1406, 1205, 621, 1287, 269, 3828, 10679, 1296, 2663, 267, 594, 6557, 1454, 6251, 547, 1620, 713, 812, 779, 4145, 269, 634, 2244, 543, 519, 1216, 602, 1034, 540, 721, 917, 607, 519, 3057, 527, 1307, 568, 1869, 2938, 676, 1082, 607, 21007, 685, 330, 2742, 685, 7288, 267, 799, 568, 519, 2757, 2012, 2016, 547, 621, 676, 922, 3312, 11317, 269, 1677, 3274, 8263, 602, 621, 12217, 1152, 835, 3961, 568, 513, 4744, 16291, 547, 1346, 4171, 11937, 6170, 5553, 12391, 585, 621, 563, 2171, 1705, 8197, 723, 513, 21007, 685, 14790, 1177, 6712, 540, 938, 968, 290, 1021, 3118, 9919, 559, 573, 327, 892, 1107, 1369, 922, 1101, 476, 1015, 3764, 267, 607, 513, 2339, 540, 1249, 269, 1284, 849, 1305, 11735, 476, 1015, 3764, 585, 2984, 267, 8964, 543, 9954, 9447, 676, 267, 543, 827, 267, 519, 1004, 540, 8672, 16515, 3899, 543, 25109, 6588, 557, 267, 607, 1134, 607, 1776, 10126, 13991, 547, 8964, 676, 1346, 945, 1152, 1294, 519, 2014, 3118, 607, 513, 22378, 333, 995, 22576, 1448, 585, 15729, 6601, 2023, 563, 5472, 540, 891, 9739, 616, 851, 543, 1612, 4897, 540, 519, 595, 753, 334, 20531, 3118, 1650, 267, 1175, 607, 2527, 2244, 3261, 566, 267, 1973, 338, 1117, 543, 2686, 30886, 616, 796, 28300, 762, 3344, 540, 4516, 779, 2078, 609, 922, 3689, 8315, 563, 9802, 649, 1832, 3001, 4464, 538, 5466, 891, 2152, 267, 547, 1450, 782, 23671, 547, 1294, 5147, 476, 272, 607, 513, 14512, 543, 711, 513, 11411, 267, 713, 1032, 543, 1169, 1032, 269, 0, 1692, 547, 2328, 606, 1957, 7291, 454, 2005, 4422, 1510, 6031, 267, 7488, 540, 1826, 267, 1022, 1557, 2115, 606, 7291, 563, 15697, 5675, 6997, 269, 2337, 2061, 513, 5856, 689, 3478, 12758, 950, 7900, 519, 4890, 1603, 540, 519, 1557, 20193, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 267, 540, 1576, 267, 855, 621, 568, 513, 3730, 2203, 585, 596, 547, 1832, 538, 2247, 267, 2523, 607, 596, 2253, 547, 1020, 707, 5888, 1983, 563, 2252, 1991, 547, 707, 3932, 596, 723, 711, 2943, 6045, 519, 4644, 540, 707, 4681, 610, 952, 596, 616, 23312, 32366, 1947, 267, 946, 519, 1439, 540, 707, 1957, 547, 1039, 707, 2798, 909, 267, 547, 2491, 741, 4644, 269, 4692, 596, 946, 596, 538, 606, 1557, 1603, 606, 2606, 5037, 585, 513, 10388, 1557, 1184, 1557, 593, 875, 547, 1118, 6960, 625, 4214, 540, 513, 5098, 538, 606, 1557, 476, 275, 628, 6185, 788, 2056, 593, 707, 1888, 596, 949, 1616, 547, 7048, 593, 519, 3621, 1867, 2511, 610, 3332, 20136, 568, 596, 28277, 909, 707, 1957, 543, 11744, 513, 2565, 25759, 2219, 563, 22512, 518, 3194, 7433, 20895, 269, 2328, 513, 1382, 1957, 593, 519, 1482, 20136, 1826, 540, 7084, 568, 3810, 3730, 585, 1053, 267, 952, 17411, 538, 519, 1318, 6073, 269, 5445, 1683, 2497, 865, 602, 519, 2093, 543, 4555, 2095, 25401, 543, 1628, 2509, 513, 2178, 3932, 563, 2005, 568, 711, 519, 1152, 3898, 585, 1603, 606, 1557, 11783, 7291, 6645, 519, 5467, 602, 713, 1957, 786, 6993, 1434, 2165, 1957, 7291, 1058, 723, 519, 1739, 5311, 543, 9115, 547, 2328, 513, 2165, 1957, 563, 6717, 3008, 301, 281, 1215, 547, 3503, 513, 19396, 3194, 7433, 29613, 958, 267, 596, 1058, 1246, 519, 2185, 10372, 4843, 1934, 547, 1711, 606, 2500, 7291, 563, 1692, 547, 3503, 12910, 14430, 910, 23397, 5055, 2304, 16122, 840, 8586, 5578, 568, 547, 2328, 606, 7291, 585, 606, 1557, 1991, 547, 2047, 4098, 519, 1557, 20136, 2985, 8638, 930, 540, 519, 5933, 3238, 538, 1603, 513, 5399, 2861, 1382, 1957, 269, 2691, 1313, 6955, 599, 568, 13087, 267, 513, 6700, 3381, 786, 8850, 1404, 1985, 563, 10932, 7433, 13832, 910, 634, 28024, 13987, 281, 5675, 606, 1557, 4462, 1652, 707, 4116, 6499, 513, 476, 276, 5037, 1557, 630, 534, 2606, 563, 28350, 7433, 20895, 1923, 1215, 1677, 5269, 12910, 7433, 20895, 2791, 1058, 2141, 1118, 606, 7291, 540, 1018, 596, 1544, 547, 2328, 1256, 952, 596, 616, 1603, 519, 1557, 593, 513, 1449, 563, 1692, 547, 3503, 513, 6713, 610, 1215, 268, 2414, 4828, 910, 23539, 10870, 454, 3080, 8945, 547, 28976, 519, 1603, 1184, 568, 6616, 875, 547, 1711, 606, 9950, 1087, 599, 14592, 1683, 519, 22403, 267, 519, 11953, 7633, 267, 593, 799, 596, 666, 1628, 707, 1603, 15030, 3876, 513, 1686, 1957, 568, 513, 1184, 269, 30633, 606, 7291, 540, 707, 1957, 563, 1692, 547, 2328, 4798, 543, 2474, 4574, 269, 32008, 1530, 3315, 7732, 3627, 20289, 5441, 540, 22518, 10456, 476, 279, 4200, 476, 1015, 628, 22971, 11783, 13625, 3898, 1383, 269, 1677, 1397, 596, 875, 547, 2328, 606, 1557, 7291, 267, 1934, 568, 606, 1383, 540, 519, 3898, 269, 476, 273, 269, 3963, 594, 993, 1603, 1957, 15545, 7212, 713, 1592, 5267, 602, 972, 568, 513, 2241, 267, 5276, 1184, 547, 1603, 971, 513, 1957, 267, 519, 4890, 1184, 540, 1603, 513, 1382, 1957, 568, 1419, 513, 30255, 543, 25276, 835, 267, 865, 5225, 946, 713, 7291, 607, 513, 8465, 3391, 7868, 3483, 540, 606, 7291, 610, 6516, 568, 547, 2322, 707, 2093, 827, 519, 1888, 593, 1957, 267, 538, 513, 26815, 6896, 3898, 563, 1692, 547, 3503, 513, 14484, 633, 4828, 20895, 286, 910, 4828, 15368, 923, 2304, 7291, 568, 5921, 547 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2115, 1454, 1732, 269, 5556, 17894, 267, 596, 4312, 1175, 4810, 909, 18522, 256, 5455, 18522, 1797, 8716, 5561, 547, 2015, 11449, 513, 2362, 1790, 878, 539, 6221, 982, 7620, 5497, 269, 24371, 1419, 2709, 3606, 2640, 267, 971, 607, 6905, 15549, 625, 610, 1863, 11288, 267, 950, 3843, 547, 22010, 741, 5561, 262, 5079, 780, 4131, 781, 1413, 693, 875, 1312, 12485, 960, 1927, 281, 14597, 596, 8385, 9709, 547, 6108, 1269, 1911, 593, 513, 2834, 11332, 269, 1717, 267, 1310, 7487, 519, 3773, 17960, 543, 6217, 827, 519, 829, 802, 540, 3478, 519, 4359, 2203, 267, 596, 6430, 547, 979, 585, 519, 1269, 1220, 1642, 5060, 324, 10189, 4308, 269, 2334, 781, 1018, 2306, 909, 18522, 543, 3444, 5498, 29818, 3532, 2645, 585, 4213, 910, 789, 2333, 8907, 543, 1711, 18668, 5561, 2439, 4913, 267, 972, 781, 513, 5386, 1899, 1063, 5363, 10372, 543, 1373, 10669, 1506, 269, 21988, 3549, 1174, 602, 2679, 3972, 998, 9758, 7840, 4422, 513, 1279, 1259, 2509, 1818, 10121, 7218, 269, 1306, 5260, 11803, 6800, 267, 2141, 3314, 602, 6031, 1412, 7224, 262, 568, 15502, 282, 1152, 3442, 1018, 5963, 8591, 1871, 547, 707, 16306, 780, 1103, 3932, 267, 649, 4126, 1565, 827, 909, 18522, 543, 3444, 5498, 29818, 5795, 596, 4030, 883, 875, 4213, 7500, 3297, 519, 10207, 269, 5457, 267, 1985, 942, 596, 5873, 2576, 2303, 1945, 2059, 519, 3515, 540, 834, 30524, 596, 899, 535, 1845, 609, 602, 8119, 610, 834, 10472, 15291, 849, 2501, 609, 513, 14167, 15549, 344, 2437, 596, 1631, 917, 4010, 1018, 789, 2811, 3257, 269, 8414, 10918, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 24375, 609, 19255, 1518, 676, 9001, 922, 3355, 13319, 267, 799, 2488, 513, 5360, 21747, 4693, 585, 476, 274, 2395, 269, 11374, 519, 4693, 1974, 267, 596, 3580, 2154, 547, 9337, 547, 513, 6976, 1544, 547, 3136, 1210, 19255, 1518, 779, 2533, 563, 763, 9208, 4640, 13071, 596, 3132, 707, 1378, 2228, 6300, 547, 2344, 543, 6133, 707, 2472, 543, 2533, 269, 17292, 707, 6300, 6249, 543, 3715, 513, 3896, 602, 1655, 13292, 707, 2754, 4170, 269, 2060, 519, 9978, 4640, 267, 596, 666, 6966, 1079, 2043, 547, 707, 2099, 4558, 2744, 1569, 547, 543, 2359, 563, 763, 2073, 476, 1839, 3923, 3562, 18881, 13927, 630, 604, 536, 2683, 12422, 264, 585, 519, 9208, 1544, 13071, 596, 6133, 3970, 1652, 2472, 267, 1498, 596, 3580, 798, 865, 693, 513, 1507, 1942, 2721, 3724, 267, 607, 519, 13258, 585, 5491, 3556, 4393, 3842, 19255, 1518, 9796, 906, 568, 5207, 593, 519, 9978, 1544, 563, 763, 9208, 1544, 568, 4998, 585, 1346, 945, 616, 1175, 4358, 543, 723, 711, 3964, 513, 2178, 6455, 2773, 1686, 269, 9978, 3947, 596, 1034, 540, 519, 3252, 596, 3580, 1205, 538, 519, 2362, 2389, 1512, 2994, 693, 513, 2557, 11090, 602, 779, 14320, 811, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10000, 18522, 543, 9061, 4149, 2454, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 19833, 1299, 590, 2454, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 589, 1247, 1394, 267, 594, 1336, 8885, 29957, 998, 606, 2228, 8468, 267, 3843, 547, 6146, 930, 942, 1354, 1250, 1985, 5870, 269, 1306, 606, 4056, 267, 594, 4312, 2141, 1044, 19832, 676, 13395, 6080, 543, 741, 6418, 25029, 267, 865, 950, 594, 16686, 2390, 513, 8142, 6998, 827, 519, 1297, 540, 6189, 10909, 538, 519, 2475, 267, 594, 7948, 1405, 5706, 16403, 532, 538, 269, 2991, 4687, 930, 5796, 593, 875, 547, 1265, 1463, 1559, 630, 3286, 2307, 513, 5363, 2937, 610, 3643, 707, 2199, 5399, 256, 1070, 594, 8068, 1776, 2243, 1185, 9575, 519, 3007, 540, 8284, 3755, 1107, 835, 7282, 519, 9228, 3668, 540, 2518, 2962, 1996, 5771, 3379, 547, 25399, 780, 2026, 606, 19366, 689, 513, 15866, 7332, 2197, 267, 594, 5433, 25997, 547, 2709, 1250, 5133, 269, 1411, 1294, 267, 594, 8057, 909, 11303, 676, 3638, 2686, 5389, 267, 7524, 2950, 267, 543, 9811, 267, 1256, 3909, 17119, 1235, 269, 1809, 2489, 1944, 606, 3003, 3661, 1062, 1759, 593, 519, 3527, 540, 922, 9097, 535, 16206, 1131, 581, 899, 6031, 782, 4892, 2648, 3728, 1426, 543, 15963, 269, 898, 3274, 3884, 1405, 3020, 780, 296, 27416, 513, 4090, 1282, 2852, 950, 594, 8678, 513, 1353, 13383, 1982, 538, 2342, 269, 661, 4526, 547, 1451, 811, 827, 5375, 6189, 267, 594, 6743, 4464, 547, 3695, 11599, 5656, 543, 7234, 1374, 24866, 609, 9905, 689, 1472, 519, 8608, 269, 1717, 267, 1919, 3576, 606, 13943, 2490, 1310, 15032, 4362, 1250, 4282, 269, 2368, 10924, 594, 6462, 18483, 1813, 547, 2923, 28402, 540, 10795, 17119, 1235, 19101, 547, 957, 538, 519, 2012, 540, 5771, 269, 901, 13429, 2813, 8082, 1369, 938, 2899, 9395, 10275, 27848, 1895, 267, 1818, 621, 2352, 585, 721, 547, 1921, 936, 938, 3838, 6612, 585, 6189, 780, 291, 17827, 547, 8115, 519, 7941, 1063, 4529, 267, 594, 14376, 3025, 547, 7390, 513, 2757, 952, 30198, 12129, 1282, 30782, 269, 1284, 10356, 896, 519, 3636, 16657, 540, 5569, 8279, 8288, 2066, 1250, 19887, 1273, 1470, 267, 8840, 3694, 1927, 607, 649, 5941, 3388, 689, 9099, 1148, 547, 4264, 2679, 2853, 269, 3733, 15032, 941, 14281, 547, 3605, 519, 5898, 543, 3178, 3297, 513, 5132, 1419, 3765, 21323, 538, 13416, 2923, 269, 1635, 519, 1439, 540, 519, 10543, 267, 17409, 16079, 539, 998, 519, 3781, 2011, 267, 2144, 2084, 1022, 29886, 11552, 848, 1851, 721, 780, 8269, 22162, 593, 713, 1995, 6026, 803, 602, 2069, 543, 1930, 5188, 666, 7006, 601, 22293, 543, 6536, 9322, 269, 5502, 540, 2519, 593, 3604, 267, 649, 1590, 8661, 1018, 25907, 721, 1927, 1107, 7279, 267, 5876, 267, 543, 513, 7287, 547, 2087, 519, 1158, 1472, 721, 269, 6787, 621, 781, 6189, 610, 4984, 267, 8508, 4763, 2636, 721, 547, 10802, 938, 2729, 543, 4228, 938, 20030, 3564, 1018, 649, 1223, 2479, 4952, 4805, 269, 1656, 3006, 267, 782, 621, 3217, 568, 606, 27592, 547, 2736, 3694, 1927, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1082, 6189, 10909, 616, 972, 538, 519, 2475, 267, 1141, 666, 594, 1265, 513, 1434, 15682, 888, 3963, 568, 972, 1100, 4745, 4674, 676, 519, 1158, 2146, 547, 14710, 5771, 607, 972, 729, 585, 4004, 1143, 286, 5771, 791, 5142, 976, 2021, 267, 30001, 4708, 267, 5932, 5208, 454, 25898, 596, 2161, 602, 891, 2055, 616, 519, 1482, 888, 2704, 2431, 267, 1577, 803, 2491, 713, 538, 513, 2241, 1259, 780, 272, 269, 634, 1297, 540, 6189, 10909, 538, 519, 2475, 666, 1689, 267, 855, 972, 616, 5215, 540, 873, 269, 1280, 513, 15682, 267, 596, 666, 2307, 513, 6738, 5346, 547, 948, 596, 3406, 585, 834, 1105, 3538, 675, 10909, 15682, 257, 593, 519, 5769, 610, 1413, 585, 513, 1592, 693, 707, 2199, 5399, 269, 1358, 723, 1082, 2835, 543, 2200, 547, 948, 596, 1265, 519, 1344, 596, 991, 780, 273, 269, 634, 1158, 2146, 3085, 1405, 960, 1996, 513, 2898, 4984, 899, 5771, 1317, 711, 782, 1004, 945, 1246, 5771, 723, 519, 1482, 4978, 610, 3527, 269, 4658, 945, 1246, 5771, 267, 610, 12356, 267, 666, 581, 2186, 267, 9543, 267, 543, 3494, 538, 4708, 1932, 269, 3807, 899, 1022, 824, 1895, 540, 1004, 267, 972, 616, 1312, 1434, 543, 3983, 2043, 269, 634, 1158, 2146, 1058, 960, 547, 326, 996, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 1684, 711, 1376, 609, 5220, 899, 476, 834, 5629, 2390, 513, 942, 257, 607, 713, 568, 513, 14703, 2022, 543, 711, 513, 3209, 267, 596, 1058, 849, 2057, 4358, 609, 5929, 5220, 899, 834, 288, 1906, 1296, 3516, 257, 610, 834, 288, 1906, 1296, 1394, 2580, 581, 3860, 269, 0, 3848, 476, 1015, 281, 4197, 3776, 2383, 543, 11524, 281, 25925, 267, 32185, 267, 543, 17583, 692, 5970, 596, 2479, 8068, 875, 930, 1004, 3100, 547, 723, 6266, 540, 2828, 267, 1247, 1866, 1265, 621, 9875, 547, 1921, 609, 1866, 286, 2107, 6148, 596, 4312, 4862, 2576, 1373, 4330, 607, 834, 2041, 2246, 3814, 257, 610, 834, 327, 1343, 727, 2437, 1247, 1776, 1268, 1522, 581, 1572, 834, 684, 3430, 847, 633, 22172, 1215, 649, 1294, 6000, 543, 1866, 267, 1519, 938, 2168, 23079, 267, 4249, 513, 1713, 1909, 538, 875, 649, 2170, 609, 519, 1158, 1472, 721, 269, 2913, 781, 4685, 4514, 883, 713, 10578, 1888, 2439, 4089, 476, 272, 281, 1548, 24439, 25126, 5900, 847, 633, 2496, 16920, 847, 4369, 3884, 1405, 1152, 827, 2348, 513, 7168, 3068, 610, 513, 16757, 1560, 269, 898, 849, 2882, 1919, 899, 11587, 267, 9644, 267, 6015, 267, 543, 4987, 269, 1717, 267, 950, 1082, 1004, 1589, 540, 4482, 4369, 267, 789, 5097, 1445, 593, 2168, 2934, 971, 607, 11132, 15340, 267, 4463, 267, 2597, 267, 543, 7802, 2511, 269, 1452, 2188, 666, 3310, 875, 649, 13498, 2576, 781, 2949, 4482, 4369, 780, 7078, 281, 5994, 1079, 15032, 1107, 835, 945, 2141, 6067, 1115, 596, 27145, 267, 12134, 827, 707, 1554, 267, 543, 2337, 596, 950, 596, 991, 621, 630, 11779, 1145, 1070, 543, 1776, 945, 18015, 24668, 602, 1118, 3025, 14902, 630, 21065, 528, 1040, 5637, 2043, 4865, 7907, 602, 3565, 547, 741, 4482, 4369, 3564, 1175, 741, 2168, 5920, 780, 4089, 476, 273, 281, 5980, 781, 10020, 538, 20223, 5900, 847, 4369, 692, 306, 1539, 1214, 814, 1978, 4441, 585, 5898, 267, 799, 666, 4268, 2066, 4529, 543, 942, 5712, 269, 1280, 1383, 267, 538, 3504, 3624, 267, 2021, 3808, 741, 3952, 17401, 547, 3035, 513, 14909, 1507, 3723, 2450, 269, 4653, 267, 2705, 267, 1034, 1004, 1131, 2015, 3723, 11006, 11213, 543, 5739, 2864, 982, 4190, 269, 9012, 19093, 899, 7641, 2982, 267, 9413, 267, 17476, 267, 543, 1514, 2923, 5867, 1419, 12927, 891, 6848, 8155, 676, 10023, 1004, 945, 3514, 1369, 1808, 5898, 4441, 269, 1306, 513, 1267, 267, 649, 949, 1016, 4621, 19290, 4835, 1125, 891, 16431, 543, 946, 873, 547, 9794, 1866, 543, 1256, 6000, 780, 12244, 281, 11814, 2592, 689, 1585, 2959, 630, 6758, 267, 1514, 2923, 267, 3092, 4700, 15386, 1114, 2010, 540, 1004, 269, 9181, 607, 513, 1362, 2436, 972, 616, 1022, 1455, 4798, 3823, 1018, 2306, 1142, 3239, 781, 5396, 834, 3430, 847, 633, 2668, 14484, 593, 1946, 1346, 1880, 7592, 616, 2808, 13267, 543, 875, 6848, 6788, 1522, 1404, 513, 851, 538, 5935, 891, 5784, 780, 4089, 476, 274, 281, 8177, 540, 5900, 847, 4369, 593, 3776, 22032, 692, 5978, 1377, 540, 9228, 4482, 4369, 666, 1860, 1896, 3344, 540, 938, 2729, 267, 1519, 1582, 12635, 267, 4081, 2773, 267, 4876, 16548, 267, 543, 14375, 3347, 269, 3194, 5267, 602, 10694, 2043, 4043, 547, 4309, 1732, 9344, 267, 3489, 2362, 1790, 11691, 6009, 267, 543, 4196, 10156, 7890, 5220, 3379, 547, 1447, 10694, 13413, 269, 5015, 267, 10694, 1004, 3622, 1995, 811, 2318, 4205, 543, 1106, 4296, 811, 3362, 1813, 547, 6848, 9186, 7957, 1681, 1434, 23302, 2043, 780, 4913, 267, 621, 781, 1898, 547, 3314, 602, 2519, 9003, 593, 2168, 5920, 7182, 938, 1620, 540, 3020, 5898, 543, 1367, 4502, 269, 15526, 19262, 2463, 267, 8296, 267, 543, 11505, 7488, 540, 741, 5654, 269, 5047, 267, 2324, 593, 3384, 6418, 7907, 971, 607, 6568, 267, 6043, 267, 543, 5876, 786, 948, 6536, 6209, 4296, 2429, 938, 2729, 780, 1103, 3932, 267, 1620, 875, 5898 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4122, 1265, 538, 1382, 1570, 269, 634, 1101, 835, 568, 602, 621, 814, 16995, 1344, 538, 621, 543, 519, 2034, 835, 568, 602, 621, 568, 5918, 6088, 689, 1776, 2707, 269, 1411, 666, 3362, 2638, 519, 13597, 540, 519, 1344, 676, 9236, 621, 609, 513, 1906, 1283, 2164, 269, 1306, 585, 519, 5918, 6473, 3390, 267, 596, 666, 946, 519, 2228, 17096, 2638, 518, 2645, 269, 1452, 2645, 666, 3362, 948, 596, 13182, 519, 2707, 543, 2995, 596, 2436, 621, 814, 17096, 538, 621, 610, 711, 2336, 268, 1234, 569, 593, 2789, 2200, 3079, 540, 16116, 835, 454, 1103, 2376, 1603, 267, 596, 723, 547, 1118, 2386, 602, 596, 1810, 1406, 4584, 835, 4199, 607, 513, 4704, 269, 1403, 596, 798, 865, 267, 596, 666, 723, 10486, 1063, 707, 960, 543, 519, 3312, 2022, 269, 901, 568, 1946, 596, 991, 547, 4584, 2789, 2959, 543, 1711, 606, 2376, 1759, 593, 5013, 543, 1344, 689, 1114, 2200, 269, 1403, 596, 1810, 1406, 1265, 2789, 2200, 593, 519, 1357, 543, 723, 547, 6529, 609, 835, 267, 519, 1655, 1259, 547, 2057, 17096, 568, 676, 22950, 337, 2084, 2645, 269, 9137, 8095, 2996, 899, 519, 27682, 575, 15843, 666, 948, 596, 1711, 2189, 543, 28505, 1543, 1256, 952, 621, 568, 1759, 593, 835, 4704, 2376, 563, 268, 13669, 802, 547, 1004, 602, 723, 6791, 538, 519, 13395, 454, 5194, 1455, 1259, 540, 15388, 543, 3478, 1344, 827, 606, 2376, 1888, 568, 676, 8220, 609, 4966, 538, 519, 2361, 269, 1635, 7234, 519, 1888, 609, 4966, 267, 596, 666, 1205, 3407, 1344, 602, 596, 3112, 1256, 1265, 593, 519, 1357, 269, 1411, 1590, 4063, 1524, 782, 519, 1883, 2798, 602, 596, 723, 27366, 689, 519, 4966, 269, 6884, 8391, 1101, 11804, 1344, 666, 581, 1732, 982, 513, 2178, 5616, 3406, 563, 268, 2422, 2228, 1382, 2645, 454, 1607, 568, 1776, 1259, 540, 3478, 707, 1382, 960, 2944, 543, 9494, 513, 2603, 540, 942, 543, 4674, 538, 519, 1184, 269, 1411, 666, 946, 2645, 899, 7736, 16694, 267, 799, 666, 948, 596, 1205, 1344, 593, 782, 5686, 540, 3584, 269, 1411, 991, 547, 4283, 519, 1888, 610, 519, 17161, 596, 1616, 547, 946, 538, 519, 2376, 269, 1411, 666, 3362, 1205, 7899, 540, 1344, 609, 1697, 8100, 269, 3194, 2645, 666, 849, 4001, 596, 875, 547, 13712, 707, 8100, 799, 616, 1360, 1271, 950, 2870, 4930, 1759, 593, 1382, 563, 3674, 972, 513, 1259, 547, 1711, 4930, 1510, 1382, 960, 888, 10932, 960, 666, 1491, 513, 2603, 540, 707, 942, 543, 568, 1360, 1454, 512, 3931, 269, 1411, 1522, 581, 3206, 602, 621, 568, 7543, 547, 1711, 2189, 4930, 1510, 1697, 1382, 269, 4653, 267, 2413, 2029, 814, 1500, 621, 4443, 585, 3025, 547, 1711, 4195, 4930, 1510, 1382, 960, 563, 9213, 596, 666, 946, 2228, 2376, 556, 23116, 2645, 267, 799, 616, 849, 1634, 607, 2376, 8095, 1676, 2645, 269, 1411, 723, 547, 4283, 519, 4704, 4930, 538, 519, 3403, 4216, 540, 519, 2376, 8095, 1676, 543, 2046, 519, 2048, 4944, 514, 7735, 10200, 769, 513, 2339, 540, 7643, 267, 596, 1131, 1205, 513, 2189, 543, 1434, 7779, 2376, 269, 4635, 22950, 337, 2084, 1907, 666, 948, 596, 4688, 513, 2603, 540, 942, 543, 4674, 538, 1382, 543, 8261, 1543, 5137, 563, 3383, 952, 596, 1810, 1406, 1616, 547, 798, 1382, 960, 543, 8261, 1603, 267, 596, 723, 2141, 1185, 513, 4023, 8929, 693, 22950, 337, 2084, 256, 0, 19868, 545, 568, 1271, 1317, 621, 7506, 1169, 3375, 649, 1118, 538, 938, 2729, 269, 8298, 673, 3206, 2636, 721, 547, 1451, 543, 1118, 3664, 602, 786, 1860, 938, 6197, 269, 1403, 1100, 835, 2219, 25401, 267, 649, 1131, 782, 581, 4881, 1472, 899, 17944, 609, 938, 9843, 2759, 1055, 267, 543, 4986, 1131, 1118, 1022, 2631, 563, 268, 476, 272, 1548, 568, 519, 1271, 540, 7954, 538, 938, 3232, 1272, 888, 268, 476, 273, 1772, 7954, 10858, 538, 707, 1554, 547, 1554, 1272, 888, 268, 476, 274, 1548, 568, 7954, 543, 922, 2956, 888, 268, 476, 275, 1548, 568, 519, 2956, 540, 7954, 547, 1053, 888, 268, 476, 276, 1548, 568, 519, 2956, 540, 7954, 538, 1870, 888, 268, 476, 277, 1215, 786, 596, 4019, 7954, 538, 1483, 1272, 3871, 888, 268, 476, 278, 1548, 568, 513, 9266, 3206, 1268, 888, 268, 476, 279, 4208, 568, 7954, 1271, 538, 3375, 1818, 888, 268, 476, 280, 1215, 798, 596, 1589, 9266, 888, 268, 476, 1015, 1772, 7954, 513, 5578, 888, 268, 476, 1556, 1548, 568, 606, 1383, 540, 9266, 888, 268, 476, 1321, 1548, 568, 7954, 538, 1272, 888, 268, 476, 1724, 1772, 7954, 2141, 1318, 888, 268, 476, 1691, 1548, 568, 9266, 2631, 888, 268, 476, 1428, 2052, 596, 1451, 7954, 888, 268, 476, 1626, 1215, 666, 594, 581, 9266, 782, 519, 942, 888, 268, 476, 1704, 1215, 666, 594, 581, 1434, 693, 9266, 7744, 888, 268, 476, 1240, 1548, 568, 7954, 538, 606, 1557, 888, 268, 476, 866, 1548, 568, 7954, 2241, 888, 268, 476, 736, 1215, 798, 596, 2491, 7954, 547, 513, 1126, 888, 1432, 568, 519, 1271, 540, 7954, 538, 938, 3232, 1272, 888, 2005, 2488, 513, 1259, 585, 721, 547, 1451, 689, 1007, 2833, 998, 519, 1184, 540, 31934, 1582, 12431, 20156, 269, 11879, 3206, 267, 1287, 267, 6087, 721, 547, 1106, 3280, 4978, 543, 21520, 267, 543, 538, 3257, 865, 267, 2488, 721, 609, 513, 4493, 585, 513, 2048, 16884, 543, 10257, 685, 3929, 1272, 563, 3674, 7954, 10858, 538, 707, 1554, 547, 1554, 1272, 888, 19868, 545, 568, 606, 1271, 1858, 540, 1353, 799, 666, 581, 4294, 538, 938, 1554, 547, 1554, 1272, 2238, 269, 1924, 621, 568, 4023, 2614, 547, 798, 606, 2962, 1382, 593, 606, 3498, 540, 9266, 563, 1432, 568, 7954, 543, 922, 2956, 286, 19868, 545, 568, 519, 2257, 540, 875, 547, 6218, 7440, 543, 7744, 269, 2560, 901, 568, 1271, 1317, 3006, 1004, 1810, 1406, 8275, 602, 1018, 4992, 10257, 3884, 1406, 8209, 9266, 269, 901, 7744, 1184, 1765, 6748, 21246, 1023, 540, 7954, 538, 707, 7744, 267, 3206, 267, 543, 7440, 28934, 2565, 547, 519, 2259, 540, 6138, 563, 1432, 568, 519, 2956, 540, 7954, 547, 1053, 888, 5575, 267, 7954, 16877, 543, 6087, 1053, 609, 519, 2702, 547, 1491, 1018, 1344, 789, 616, 2016, 543, 1628, 2390, 621, 269, 5822, 267, 621, 568, 519, 22294, 540, 2979, 269, 14936, 267, 9266, 7744, 7512, 1053, 547, 1589, 585, 2933, 267, 4603, 267, 543, 1256, 2307, 519, 2462, 267, 856, 6361, 7308, 1532, 2135, 2055, 563, 1432, 568, 519, 2956, 540, 7954, 538, 1870, 888, 19968, 7954, 11887, 875, 1239, 949, 581, 3254, 267, 6740, 267, 2813, 267, 543, 12012, 269, 898, 2488, 513, 1062, 540, 3652, 602, 10274, 875, 1870, 3615, 630, 30672, 540, 3301, 602, 1852, 875, 1239, 568, 16487, 264, 960, 609, 835, 1776, 269, 6355, 7954, 849, 10274, 875, 1870, 3615, 1369, 3301, 616, 15600, 543, 8242, 563, 1692, 786, 596, 4019, 7954, 538, 1483, 1272, 3871, 888, 268, 20031, 2478, 281, 21208, 7288, 4718, 513, 3109, 3032, 593, 1200, 1259, 547, 960, 269, 2311, 960, 267, 21208, 7288, 3893, 17991, 269, 10390, 281, 4563, 7314, 616, 3983, 9939, 269, 6693, 268, 20031, 2478, 281, 1703, 568, 1100, 2963, 602, 4050, 27957, 568, 3983, 585, 596, 269, 594, 946, 4050, 27957, 1510, 1022, 2042, 269, 6693, 268, 20031, 2478, 281, 3733, 3158, 568, 513, 28910, 269, 594, 2661, 609, 1250, 3158, 563, 1432, 568, 513, 9266, 3206, 1268, 286, 299, 16479, 17024, 7747, 543, 5659, 9259, 267, 6547, 267, 543, 5955, 543, 1287, 2721, 8753, 1759, 593, 602, 3403, 269, 2560, 8298, 673, 17024, 1810, 1406, 979, 609, 741, 8937, 610, 1020, 513, 4640, 1317, 621, 968, 10623, 1564, 1318, 1848, 8298, 673, 3206, 849, 3340, 5587, 4328, 10054, 543, 4259, 11735, 12886, 267, 607, 2484, 607, 2009, 563, 3963, 568, 7954, 1271, 538, 3375, 1818, 888, 21430, 23801, 543, 2500, 1870, 3664, 568, 2352, 269, 1879, 649, 946, 7954, 267, 649, 946, 7787, 7744, 538, 1931, 547, 1118, 513, 4570, 4661, 269, 20603, 568, 513, 1907, 649, 666, 946, 547, 948, 721, 1118, 1732, 1870, 3664, 269, 667, 9254, 21063, 267, 19585, 267, 543, 31602, 7744, 616, 9266, 3157, 602, 948, 721, 1020, 4570, 7440, 23130, 568, 513, 9266, 1268, 888, 288, 9266, 1268, 3096, 5730, 1893, 865, 602, 1010, 26575, 6487, 4010, 1018, 646, 568, 6158, 827, 543, 666, 18113, 6218, 519, 5168, 540, 1010, 6811, 269, 1403, 646, 4016, 547, 811, 1950, 2474, 971, 607, 968, 325, 516, 4520, 892, 610, 968, 3225, 1275, 2223, 646, 2306, 2386, 547, 3715, 1010, 1880, 1620, 540, 1346, 2474, 6993, 4135, 1834, 1101, 942, 3370, 593, 6998, 1492, 14309, 2593, 270, 6343, 28104, 7308, 268, 5814, 766, 6361, 2000, 690, 545, 2987, 268, 712, 1673, 2905, 3734, 13045, 1692, 798, 596, 1589, 9266, 888, 268, 6875, 942, 547, 2259, 707, 2702, 547, 1589, 25401, 269, 6693, 268, 5192, 5432, 609, 519, 1114, 5686, 540, 9266, 7744, 269, 6693, 268, 5901, 707, 4664, 856, 540, 621, 269, 6693, 268, 5700, 1018, 707, 3804, 568, 563, 3674, 7954, 513, 5578, 888, 299, 16479, 3206, 568, 606, 1898, 5578, 602, 1169, 1126, 1590, 723, 543, 2087, 269, 2560, 8298, 673, 3206, 568, 519, 2702, 547, 1118, 513, 7787, 3932, 676, 7421, 513, 3510, 269, 4270, 31465, 9266, 3206, 1983, 849, 3895, 10763, 3206, 267, 7744, 267, 6128, 267, 1966, 9010, 267, 543, 1082, 824, 1983, 563, 1432, 568, 606, 1383, 540, 9266, 888, 763, 4214, 540, 7954, 568, 513, 2257, 602, 2090, 519, 3741, 540, 2953, 7744, 269, 1323, 1383, 540, 7954, 568, 4142, 24976, 602, 1079, 18408, 17538, 513, 3791, 5168, 269, 1323, 1383, 540, 7954, 568, 519, 1184, 540, 4947, 547, 519, 3932, 540, 945, 588, 1961, 513, 23739, 1759, 593, 945, 729, 538, 519, 4055, 693, 519, 942, 269, 8298, 673, 563, 1432, 568, 7954, 538, 1272, 888, 763, 7954, 1031, 547, 2491, 28986, 540, 4948, 1272, 267, 3206, 25401, 2337, 812, 547, 2243, 519, 8647, 540, 3388, 1472, 721, 267, 519, 7954, 1031, 547, 8044, 543, 568, 11214, 513, 2219, 606, 2856, 602, 7506, 721, 585, 606, 2962, 649, 798, 538, 938, 3232, 2729, 563, 3674, 7954, 2141, 1318, 888, 9989, 20603, 11408, 4518, 286, 20603, 568, 513, 1360, 2500, 1907, 585, 7479, 8172, 606, 5304, 827, 519, 6111, 540, 606, 4661, 269, 1717, 267, 1004, 616, 711, 2141, 7479, 12184, 676, 7954, 269, 6884, 9458, 616, 711, 7479, 12184, 1317, 789, 723, 1031, 2418, 610, 4664, 3079, 540, 7954, 547, 3914, 8753, 563, 1432, 568, 9266, 2631, 888, 272, 11341, 547, 267, 1031, 538, 267, 610, 8984, 540, 7954, 269, 476, 273, 1210, 267, 2687, 547, 267, 610, 17429, 1027, 689, 519, 3741, 540, 7954, 269, 513, 9266, 3932, 269, 476, 274, 5827, 540, 610, 6353, 676, 2312, 610, 4570, 7744, 269, 476, 275, 10257, 610, 2556, 1317, 540, 5013, 267, 2621, 267, 3092, 563, 4692, 596, 1451, 7954, 888, 299, 16479, 15154, 1772, 3502, 606, 769, 9799, 13669, 550, 267, 1809, 23985, 1411, 2052, 6258, 543, 6657, 269, 31514, 9266, 7744, 568, 3274, 1565, 547, 2628, 513, 6251, 3007, 547, 3877, 269, 4475, 267, 972, 616, 513, 1906, 2653, 2553, 547, 948, 596, 7753, 3206, 9465, 543, 2731, 1445, 563, 1692, 666, 594, 581, 9266, 782, 519, 942, 888, 268, 6258, 547, 1404, 7405, 563, 268, 6258, 547, 2721, 610, 5862, 563, 268, 6258, 547, 3717, 513, 4914, 1893, 563, 268, 6258, 547, 3434, 563, 1692, 666, 594, 581, 1434, 693, 9266, 7744, 888, 268, 476, 272, 264, 8347, 547, 16174, 1063, 9866, 3569, 543, 5606, 3720, 281, 6693, 268, 476, 273, 264, 5269, 9266, 8753, 676, 3206, 538, 19585, 6898, 269, 6693, 268, 476, 274, 264, 7591, 3556, 3756, 269, 6693, 268, 476, 275, 264, 3367, 11320, 2255, 12638, 13655, 269, 6693, 268, 476, 276, 264, 8347, 547, 21028, 3270, 269, 6693, 268, 476, 277, 264, 5620, 2596, 10763, 2418, 563, 1432, 568, 7954, 538, 606, 1557, 888, 19868, 545, 568, 513, 6101, 1062, 540, 2079, 602, 2337, 5830, 6427, 267, 6542, 267, 543, 6961, 7440, 269, 898, 1568, 676, 4152, 3981, 1431, 1996, 835, 1776, 547, 3313, 741, 6111, 563, 1432, 568, 7954, 2241, 888, 272, 2433, 513, 1697, 610, 10257, 1259, 540, 3206, 827, 1945, 2433, 3280, 7744, 269, 476, 273, 2433, 513, 2257, 602, 9388, 609, 519, 3652, 543, 3157, 1031, 538, 3280, 3206, 543, 7744, 269, 2859, 689, 8585 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 1950, 2079, 910, 16602, 2243, 593, 18635, 780, 258, 272, 454, 4131, 535, 543, 575, 581, 3252, 609, 513, 15393, 693, 524, 269, 8073, 3652, 630, 663, 6961, 873, 264, 827, 875, 649, 666, 9192, 535, 543, 575, 693, 524, 780, 663, 13797, 281, 4855, 519, 18635, 540, 519, 1599, 23241, 663, 19665, 891, 18635, 1210, 851, 1775, 780, 296, 723, 13986, 713, 267, 855, 594, 1832, 3478, 18635, 540, 2942, 1931, 538, 851, 13797, 543, 1250, 1576, 15151, 3085, 1405, 1445, 593, 18635, 540, 2942, 1931, 865, 594, 1590, 723, 8854, 4636, 12341, 2336, 271, 454, 278, 1296, 3516, 454, 258, 273, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 4131, 535, 543, 575, 581, 3252, 609, 513, 15393, 693, 524, 269, 8073, 3652, 630, 663, 6961, 873, 264, 827, 875, 649, 666, 9192, 535, 543, 575, 693, 524, 780, 663, 13797, 281, 4855, 519, 18635, 540, 519, 1599, 23241, 663, 19665, 891, 18635, 1210, 851, 1775, 780, 296, 723, 13986, 713, 267, 855, 594, 1832, 3478, 18635, 540, 2942, 1931, 538, 851, 13797, 543, 1250, 1576, 15151, 3085, 1405, 1445, 593, 18635, 540, 2942, 1931, 865, 594, 1590, 723, 8854, 4636, 12341, 2336, 5970, 596, 3323, 676, 556, 8586, 28422, 1990, 815, 5430, 1990, 1315, 5609, 1990, 543, 5609, 273, 345, 815, 476, 273, 7562, 345, 6523, 345, 543, 28976, 888, 272, 454, 258, 274, 454, 263, 24314, 2022, 676, 546, 822, 4592, 994, 5970, 596, 3323, 676, 556, 8586, 28422, 1990, 815, 5430, 1990, 1315, 5609, 1990, 543, 5609, 273, 345, 815, 476, 273, 7562, 345, 6523, 345, 543, 28976, 888, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 271, 454, 278, 1296, 3516, 454, 258, 275, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 17764, 594, 6415, 2386, 621, 781, 834, 29729, 257, 547, 4228, 5609, 273, 345, 910, 594, 1175, 4043, 547, 27682, 1919, 538, 2474, 540, 834, 21353, 545, 257, 3252, 602, 1118, 1919, 630, 327, 2100, 2685, 264, 811, 12001, 2336, 271, 454, 278, 1296, 3516, 454, 258, 276, 454, 263, 24314, 2022, 676, 634, 13787, 626, 22900, 994, 265, 338, 662, 265, 602, 781, 4440, 1141, 594, 4682, 4636, 267, 594, 16866, 1034, 540, 621, 855, 29709, 602, 5609, 273, 345, 284, 273, 7562, 345, 6523, 345, 267, 855, 568, 621, 3656, 547, 4228, 5609, 273, 345, 1932, 286, 1703, 729, 4986, 4636, 609, 519, 512, 11336, 3126, 585, 5609, 273, 345, 907, 2336, 8133, 267, 602, 3961, 6585, 1256, 585, 1950, 1990, 269, 595, 766, 29818, 513, 5609, 689, 1283, 543, 5377, 568, 1175, 899, 1210, 1535, 3079, 540, 1535, 317, 273, 24474, 910, 621, 781, 1175, 607, 3656, 607, 602, 563, 271, 454, 311, 692, 2908, 9708, 454, 12988, 454, 1729, 1283, 454, 30238, 454, 7069, 16376, 692, 2162, 744, 3591, 267, 18864, 814, 11540, 514, 519, 2063, 1906, 3108, 780, 3963, 711, 556, 3613, 691, 519, 6643, 2496, 5408, 811, 692, 2162, 6423, 811, 540, 1018, 596, 899, 593, 763, 9906, 18740, 692, 2791, 666, 2123, 1047, 1018, 596, 1294, 593, 570, 17876, 269, 15681, 721, 513, 2370, 827, 3054, 547, 1205, 3323, 780, 2162, 15724, 692, 18794, 519, 4901, 692, 2971, 1215, 1705, 707, 589, 304, 288, 589, 7400, 8212, 7433, 476, 272, 981, 979, 2496, 15124, 256, 28214, 2318, 630, 15704, 994, 2764, 269, 11463, 14999, 2005, 4682, 9425, 1134, 630, 25240, 994, 5325, 269, 4510, 14999, 2005, 4769, 1405, 979, 1932, 1134, 630, 6507, 994, 1428, 269, 1626, 14999, 9898, 6020, 25770, 256, 630, 6246, 994, 279, 269, 5379, 260, 0, 1012, 634, 530, 335, 23343, 1529, 639, 692, 19865, 476, 1839, 269, 2913, 692, 290, 815, 1247, 2473, 271, 798, 692, 311, 281, 284, 311, 266, 272, 16963, 312, 281, 284, 312, 268, 273, 692, 617, 692, 29991, 519, 1871, 540, 16317, 11405, 269, 3689, 540, 782, 267, 649, 4019, 19748, 5733, 476, 7367, 543, 476, 7871, 585, 4466, 519, 4542, 16761, 269, 769, 1840, 267, 538, 1018, 5205, 649, 849, 1491, 883, 2272, 519, 1739, 3551, 3601, 540, 519, 530, 335, 23343, 1529, 639, 780, 4415, 713, 538, 1688, 267, 649, 666, 4228, 676, 19748, 5733, 476, 7367, 543, 476, 7871, 1384, 3528, 15632, 593, 1775, 649, 666, 6961, 519, 1739, 7862, 692, 25075, 3660, 1547, 4935, 267, 666, 581, 6074, 607, 519, 4617, 652, 26608, 1288, 540, 609, 2463, 547, 16317, 19865, 476, 2918, 269, 2913, 692, 290, 815, 1247, 962, 273, 333, 798, 692, 311, 281, 284, 311, 266, 312, 16963, 312, 281, 284, 312, 266, 273, 692, 617, 692, 29991, 3177, 519, 2418, 540, 2473, 543, 962, 616, 9981, 780, 11405, 780, 3528, 15632, 593, 1775, 649, 666, 6961, 602, 267, 952, 2073, 1287, 692, 25332, 2925, 267, 602, 267, 952, 2073, 1287, 962, 3587, 2942, 267, 855, 519, 1894, 609, 962, 543, 2473, 1869, 3180, 269, 9747, 10484, 19865, 476, 2767, 269, 2913, 692, 290, 815, 1247, 962, 798, 692, 313, 281, 284, 325, 263, 312, 264, 313, 16963, 312, 281, 284, 339, 263, 312, 2020, 617, 692, 29991, 16317, 11405, 780, 1103, 2489, 267, 649, 3489, 692, 25075, 3660, 1547, 4935, 267, 16317, 19865, 476, 2764, 269, 2913, 692, 290, 815, 1247, 962, 798, 692, 313, 281, 284, 313, 325, 263, 312, 264, 325, 263, 312, 32007, 312, 281, 284, 339, 263, 312, 2020, 617, 692, 29991, 16317, 11405, 269, 2913, 20301, 519, 2262, 2073, 952, 1547, 3973, 692, 3528, 15632, 593, 1775, 649, 3489, 692, 13295, 267, 1547, 0, 258, 4855, 519, 2040, 2040, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 2020, 3721, 676, 1900, 3070, 676, 4966, 547, 948, 596, 538, 8969, 24999, 1299, 18176, 5140, 7436, 538, 11400, 780, 24993, 2201, 281, 476, 2641, 268, 272, 268, 1708, 271, 692, 25721, 928, 22027, 2312, 737, 732, 514, 705, 29243, 1952, 1612, 536, 6062, 269, 8347, 621, 1631, 780, 7476, 8382, 547, 1022, 2243, 267, 1175, 4945, 513, 8666, 543, 14202, 519, 8666, 454, 663, 1205, 519, 2626, 4625, 1863, 2676, 306, 284, 1495, 619, 564, 263, 710, 329, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 4297, 284, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 9984, 1495, 619, 564, 9217, 284, 329, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 329, 4297, 2999, 1962, 285, 815, 263, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 328, 7565, 8999, 318, 263, 329, 284, 272, 8203, 263, 1015, 264, 273, 22677, 329, 4297, 268, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 328, 264, 2999, 1962, 285, 815, 9230, 1015, 16282, 1556, 8358, 273, 7565, 263, 273, 263, 273, 22677, 1015, 9984, 272, 4297, 14370, 273, 268, 272, 4297, 268, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 16282, 273, 22677, 328, 264, 2999, 1962, 285, 2913, 590, 318, 263, 272, 6661, 8999, 318, 263, 328, 284, 272, 8203, 263, 1015, 264, 1460, 343, 273, 22677, 328, 264, 2999, 1962, 285, 4061, 306, 318, 263, 272, 6661, 272, 16282, 273, 266, 273, 16282, 273, 22677, 273, 11924, 274, 16282, 273, 22677, 274, 11924, 1862, 266, 1015, 16282, 273, 22677, 1015, 264, 2999, 1962, 285, 4061, 476, 273, 338, 318, 263, 272, 6661, 272, 16282, 273, 22677, 273, 11924, 273, 16282, 273, 22677, 274, 11924, 274, 16282, 273, 22677, 275, 11924, 1862, 266, 1015, 16282, 273, 22677, 1556, 264, 2999, 1962, 285, 16265, 24219, 267, 649, 1205, 2999, 1962, 285, 910, 306, 318, 263, 272, 6661, 263, 273, 266, 273, 22677, 273, 11924, 273, 22677, 274, 11924, 1862, 266, 273, 22677, 1015, 4297, 268, 1015, 16282, 273, 22677, 1556, 264, 2999, 1962, 285, 4061, 590, 318, 263, 272, 6661, 1015, 16282, 273, 22677, 1556, 9984, 273, 263, 273, 22677, 1015, 9984, 272, 6661, 280, 16282, 273, 22677, 1556, 11924, 273, 2999, 1962, 285, 4061, 306, 284, 8099, 16282, 263, 273, 22677, 1015, 9984, 272, 9984, 263, 280, 16282, 273, 22677, 1556, 11924, 273, 264, 2999, 1962, 285, 815, 276, 16282, 273, 22677, 1321, 9984, 10482, 0, 258, 5440, 1670, 2516, 281, 952, 1269, 288, 259, 568, 606, 1930, 15410, 540, 1269, 294, 8961, 1287, 1269, 288, 13064, 272, 4151, 568, 1930, 780, 4131, 3230, 294, 2330, 581, 513, 30490, 1895, 609, 1930, 15410, 3230, 288, 21974, 594, 1616, 547, 6961, 1360, 8499, 270, 2181, 322, 1047, 569, 602, 3230, 288, 13064, 272, 348, 281, 7807, 346, 320, 13064, 272, 348, 281, 320, 22174, 589, 315, 6525, 568, 849, 1930, 780, 11917, 16227, 519, 1883, 547, 713, 6169, 568, 519, 1249, 602, 519, 538, 11437, 4786, 6695, 12978, 281, 294, 315, 14075, 21375, 717, 2330, 568, 6024, 780, 11377, 12978, 281, 294, 315, 14075, 21375, 717, 2330, 568, 6024, 267, 865, 2094, 3230, 288, 315, 11357, 3553, 18091, 717, 2330, 568, 1930, 538, 3230, 294, 18079, 6695, 12978, 13064, 272, 12917, 288, 14638, 568, 1930, 538, 3230, 294, 2330, 630, 2421, 4214, 540, 30490, 15364, 6393, 11377, 12978, 13064, 272, 12917, 288, 14638, 5161, 540, 2609, 540, 519, 1106, 3230, 320, 13064, 272, 6525, 267, 865, 6695, 12978, 13064, 272, 12917, 288, 6661, 288, 13064, 272, 6525, 269, 901, 5654, 899, 649, 616, 2944, 780, 296, 1175, 1616, 547, 2638, 513, 1507, 1469, 281, 649, 1491, 3230, 288, 2330, 547, 581, 538, 519, 13798, 558, 664, 540, 6695, 12978, 18079, 799, 540, 1576, 568, 3230, 294, 18079, 855, 538, 1880, 267, 12582, 1405, 519, 2609, 540, 3230, 288, 2330, 581, 540, 519, 1106, 834, 514, 951, 525, 540, 930, 2609, 540, 3230, 294, 2330, 2580, 865, 3230, 288, 284, 289, 13064, 272, 6525, 585, 930, 1305, 3230, 289, 315, 11357, 3553, 18091, 717, 18079, 2161, 267, 543, 4061, 6695, 12978, 13064, 272, 12917, 288, 21174, 12978, 13064, 272, 12917, 289, 13064, 272, 348, 6661, 20719, 289, 13064, 272, 3686, 264, 13064, 272, 13157, 289, 18079, 1924, 649, 798, 711, 8209, 3489, 3230, 288, 13064, 272, 6525, 1394, 950, 649, 4019, 6695, 12978, 13064, 272, 6525, 267, 8259, 6695, 12978, 13064, 272, 6525, 568, 2965, 606, 11201, 540, 6695, 12978, 18079, 607, 10353, 547, 513, 840, 13548, 2496, 296, 1589, 594, 1522, 581, 3478, 11821, 1934, 269, 16393, 4896, 948, 12172, 593, 713, 2496, 12552, 692, 1892, 4399, 12978, 259, 568, 538, 3200, 1043, 2094, 1269, 294, 259, 568, 513, 1895, 267, 543, 538, 1249, 972, 781, 1360, 2370, 1448, 538, 6158, 827, 4399, 12978, 13064, 272, 4151, 2094, 538, 11437, 568, 606, 1594, 1081, 282, 4399, 12978, 13064, 272, 12917, 320, 264, 815, 1422, 12978, 5416, 30879, 3967, 476, 2641, 1412, 2641, 693, 476, 1240, 281, 4905, 454, 1892, 4399, 12978, 259, 568, 6024, 543, 922, 1378, 11201, 267, 4061, 621, 568, 606, 1753, 31532, 563, 1700, 1109, 331, 327, 325, 454, 13202, 476, 2420, 1412, 2641, 693, 476, 271, 281, 5392, 692, 2791, 2161, 834, 11377, 12978, 13064, 272, 12917, 288, 14638, 5161, 540, 2609, 540, 519, 1106, 3230, 320, 13064, 272, 6525, 257, 4534, 1946, 568, 713, 286, 2913, 781, 6961, 621, 563, 4131, 3230, 343, 1422, 514, 1422, 12978, 13064, 272, 12917, 288, 14638, 581, 17062, 269, 1635, 4214, 267, 3230, 343, 13064, 272, 348, 815, 1422, 12978, 3287, 264, 1422, 514, 589, 21974, 3973, 3230, 343, 815, 630, 343, 13064, 272, 16585, 13064, 272, 6525, 568, 519, 11201, 540, 606, 3693, 540, 3230, 288, 21974, 4595, 3230, 343, 2330, 729, 17062, 267, 649, 723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 25889, 281, 9615, 540, 14715, 3676, 1210, 11528, 543, 1875, 1606, 17790, 2553, 454, 26078, 757, 513, 1713, 4161, 538, 4915, 269, 901, 4161, 568, 30109, 2404, 609, 519, 28198, 454, 663, 25843, 540, 519, 2634, 5160, 563, 32325, 281, 634, 25843, 2497, 540, 519, 2634, 568, 1813, 547, 519, 4527, 540, 519, 1973, 1532, 1778, 11064, 630, 17668, 289, 13211, 6518, 5161, 540, 513, 6024, 4494, 540, 31479, 32361, 2281, 269, 634, 645, 17668, 11151, 1034, 5061, 689, 454, 550, 1359, 519, 2634, 5160, 543, 568, 3810, 16496, 267, 28498, 1152, 10894, 6878, 543, 5567, 547, 454, 24342, 281, 4014, 713, 4161, 814, 3361, 7965, 585, 519, 2126, 540, 14715, 3676, 267, 621, 454, 13757, 8118, 909, 513, 3376, 1382, 1858, 538, 519, 2361, 540, 3075, 6765, 269, 3414, 519, 13345, 540, 20543, 454, 18217, 11679, 1070, 29113, 666, 1683, 519, 4998, 2783, 585, 8429, 998, 519, 645, 17668, 563, 6962, 281, 715, 11679, 609, 5078, 7516, 543, 19993, 28920, 11131, 640, 543, 5279, 267, 607, 1134, 607, 3617, 454, 10818, 531, 1436, 267, 666, 18645, 538, 519, 2634, 269, 5015, 267, 715, 11679, 666, 7520, 519, 6098, 6765, 454, 1993, 519, 31706, 883, 519, 2634, 2127, 3238, 538, 12216, 779, 2068, 267, 19576, 779, 2068, 267, 8482, 2676, 326, 30869, 267, 26043, 267, 543, 824, 14715, 4713, 269, 901, 2689, 6257, 891, 2409, 540, 8362, 454, 339, 1173, 7566, 1808, 2127, 540, 519, 2634, 269, 0, 1692, 547, 5269, 2876, 9999, 609, 25670, 1773, 1824, 609, 1530, 629, 1941, 1277, 7120, 888, 9303, 9999, 616, 14839, 2645, 602, 2099, 519, 3892, 540, 513, 1305, 540, 6024, 1239, 269, 769, 513, 27008, 267, 519, 1239, 568, 5258, 883, 513, 1305, 540, 11996, 610, 25510, 630, 17141, 593, 519, 1535, 14289, 264, 543, 519, 1293, 540, 1239, 2798, 602, 2887, 883, 1142, 10822, 7222, 547, 519, 4463, 540, 519, 3046, 1657, 602, 10822, 269, 1452, 25510, 949, 610, 949, 711, 581, 3160, 538, 8700, 855, 616, 11105, 630, 5976, 1100, 10616, 1916, 288, 5860, 4729, 630, 10193, 1634, 607, 17830, 5860, 4729, 264, 568, 1776, 14839, 1907, 585, 10442, 1239, 14778, 269, 898, 666, 581, 2808, 607, 513, 1159, 2393, 1117, 27008, 269, 634, 19589, 540, 513, 5860, 4729, 948, 4159, 1141, 2418, 616, 13671, 936, 519, 8884, 269, 1703, 616, 513, 3099, 540, 5347, 532, 2553, 269, 918, 14533, 25670, 6480, 11582, 630, 298, 14701, 264, 568, 835, 540, 519, 2553, 1031, 547, 5347, 513, 27008, 563, 5353, 629, 1941, 568, 513, 1239, 14839, 5399, 1759, 593, 21267, 538, 5124, 269, 769, 713, 2376, 267, 649, 786, 946, 26026, 1941, 269, 7290, 7120, 3890, 547, 4729, 513, 27008, 609, 513, 5860, 4729, 563, 306, 9321, 1314, 281, 26026, 1941, 269, 7290, 7120, 16597, 267, 1535, 267, 586, 267, 27280, 267, 2493, 267, 25510, 267, 10822, 12296, 267, 15768, 267, 737, 1372, 267, 2845, 318, 29173, 994, 268, 1239, 281, 3403, 1239, 538, 519, 1106, 540, 4578, 18134, 610, 715, 17056, 5044, 454, 268, 1535, 267, 586, 630, 28436, 2567, 1883, 540, 519, 1239, 547, 581, 17479, 593, 519, 1535, 543, 586, 17887, 6606, 454, 268, 27280, 630, 28436, 2567, 23066, 1239, 1883, 799, 568, 25528, 547, 3313, 519, 2681, 540, 4729, 2609, 454, 268, 2493, 630, 28436, 2567, 1293, 267, 4908, 267, 5860, 610, 5506, 454, 27987, 281, 901, 1505, 7024, 519, 21267, 17887, 609, 519, 4729, 6537, 593, 621, 563, 7078, 476, 272, 281, 1284, 786, 5352, 519, 1239, 1210, 519, 4351, 20120, 333, 3890, 1505, 563, 3528, 9949, 737, 1372, 9936, 540, 26026, 1941, 269, 7290, 7120, 568, 1305, 547, 7301, 269, 1924, 267, 676, 4259, 519, 737, 1372, 547, 3020, 267, 513, 17830, 5860, 7447, 568, 17223, 547, 5347, 519, 3892, 543, 513, 5860, 4729, 1467, 568, 6537, 563, 7078, 476, 273, 281, 2913, 721, 946, 519, 3732, 10471, 267, 623, 27279, 267, 689, 519, 1530, 629, 1941, 5399, 538, 713, 1383, 269, 901, 10471, 2982, 519, 4162, 630, 7853, 2527, 267, 1166, 23124, 3259, 267, 3915, 3259, 4008, 264, 540, 1114, 533, 21315, 2249, 593, 1114, 10195, 563, 2171, 666, 849, 14650, 519, 3892, 540, 1560, 2527, 585, 2789, 2249, 538, 513, 2582, 4729, 269, 634, 27280, 9936, 7851, 519, 23066, 4756, 2048, 14588, 2886, 17483, 7078, 476, 274, 281, 901, 1383, 3096, 519, 3732, 10471, 267, 9669, 267, 689, 519, 1530, 629, 1941, 5399, 799, 5638, 519, 4388, 4607, 676, 513, 13962, 7746, 269, 898, 5161, 540, 519, 9133, 4607, 2698, 3915, 610, 1942, 540, 519, 7594, 267, 4008, 540, 519, 6075, 267, 2450, 540, 519, 6075, 5428, 267, 1554, 267, 942, 543, 2436, 513, 15137, 518, 568, 1459, 693, 519, 5428, 610, 711, 269, 5502, 540, 519, 1293, 540, 1239, 2798, 267, 519, 27008, 538, 713, 1383, 568, 28348, 865, 602, 1142, 3046, 779, 4463, 2982, 513, 5506, 563, 16920, 1549, 2520, 2131, 256, 16237, 6533, 707, 13210, 609, 519, 5124, 14691, 7690, 6092, 543, 1451, 519, 9238, 563, 2414, 2253, 609, 267, 707, 5967, 21339, 28389, 707, 4578, 23113, 2035, 609, 519, 5124, 26712, 6092, 269, 1656, 547, 2253, 609, 707, 10724, 4804, 17714, 267, 6443, 519, 10724, 4804, 1107, 9978, 5426, 6092, 0, 22492, 17136, 834, 299, 334, 26244, 32190, 8416, 4840, 291, 1737, 1467, 585, 12377, 22347, 3827, 281, 6806, 630, 272, 5130, 476, 1708, 272, 1916, 19950, 338, 281, 5769, 540, 12085, 282, 12616, 9300, 5121, 282, 700, 303, 23354, 5121, 282, 2098, 580, 289, 2465, 282, 5985, 4066, 454, 22492, 12983, 543, 26888, 538, 631, 7894, 296, 13746, 454, 22492, 17136, 538, 4750, 540, 13149, 3163, 543, 7177, 281, 23397, 16370, 543, 10298, 585, 26066, 12472, 543, 5004, 454, 22492, 17136, 538, 11576, 832, 281, 12694, 267, 11780, 32187, 267, 543, 23800, 585, 22750, 17270, 538, 29942, 32190, 17978, 454, 22492, 17136, 538, 769, 26197, 281, 23397, 5564, 12855, 16370, 585, 8836, 11595, 454, 763, 2487, 3466, 538, 519, 5769, 540, 12085, 6389, 723, 2938, 519, 4473, 540, 513, 1713, 1297, 540, 2792, 4066, 4171, 1292, 3483, 568, 593, 835, 2427, 519, 5786, 540, 1379, 4616, 267, 543, 593, 519, 824, 519, 11097, 2287, 540, 519, 1239, 6771, 2039, 269, 769, 713, 2796, 267, 519, 1034, 1713, 3435, 723, 7153, 1369, 519, 865, 10777, 4427, 8566, 13703, 4908, 13164, 267, 1519, 782, 1346, 13164, 4171, 5665, 4908, 568, 2539, 982, 476, 272, 717, 13703, 269, 7324, 519, 1585, 4066, 267, 519, 10753, 26244, 25244, 267, 1927, 609, 519, 10753, 26244, 310, 3198, 26914, 7014, 267, 814, 6537, 513, 1804, 1719, 1813, 547, 922, 1164, 12644, 538, 2474, 540, 1312, 1379, 4616, 543, 6771, 9832, 269, 22685, 1154, 10279, 268, 19464, 4507, 267, 10753, 26244, 5925, 13838, 949, 581, 6007, 14617, 543, 7500, 8238, 558, 3585, 1256, 585, 930, 1296, 269, 2311, 519, 1482, 942, 267, 789, 666, 3914, 6771, 9832, 909, 547, 930, 21240, 538, 4683, 2127, 543, 930, 9937, 540, 21240, 538, 6917, 2127, 269, 1452, 1079, 2934, 1118, 713, 2186, 540, 3457, 4998, 585, 1346, 3156, 1141, 513, 3060, 5989, 814, 547, 7500, 8238, 558, 3585, 585, 1279, 21269, 540, 942, 267, 538, 2647, 2127, 269, 32190, 13033, 25121, 666, 1287, 4922, 4324, 689, 519, 4367, 540, 713, 2029, 563, 299, 334, 26244, 543, 10753, 26244, 310, 3198, 14617, 9300, 5121, 666, 581, 1336, 538, 782, 519, 1034, 1713, 3498, 7653, 1369, 519, 5769, 540, 12085, 2796, 267, 689, 12829, 20079, 543, 10164, 550, 13255, 7010, 547, 519, 17565, 540, 12752, 476, 275, 269, 271, 269, 901, 5318, 18236, 14593, 3173, 267, 607, 1134, 607, 8668, 10909, 267, 547, 8495, 1114, 3435, 543, 19383, 585, 713, 2029, 267, 689, 519, 2168, 4494, 547, 519, 3060, 6189, 269, 6270, 513, 1804, 1382, 1719, 568, 4867, 14754, 676, 519, 7683, 3395, 1297, 540, 9300, 13033, 3156, 602, 616, 12561, 10753, 26244, 543, 10753, 26244, 310, 3198, 607, 6771, 2029, 543, 7014, 585, 1239, 6771, 563, 1607, 7981, 17136, 20217, 3312, 7418, 593, 519, 3584, 1644, 547, 10753, 26244, 2029, 543, 10753, 26244, 310, 3198, 7014, 267, 607, 1134, 607, 741, 2009, 3096, 1369, 519, 2796, 540, 5121, 267, 1519, 267, 855, 711, 3908, 547, 267, 519, 1739, 3584, 912, 268, 10753, 26244, 8447, 23771, 454, 268, 10753, 26244, 310, 3198, 7014, 454, 268, 20010, 10753, 26244, 2861, 26914, 10873, 454, 268, 10753, 26244, 2861, 3060, 10873, 454, 268, 10753, 26244, 25121, 585, 519, 5769, 540, 12085, 454, 268, 10753, 26244, 2861, 9300, 5121, 454, 268, 8899, 5295, 10753, 26244, 9300, 9136, 454, 268, 6052, 28610, 532, 2553, 585, 10753, 26244, 9300, 9136, 454, 268, 5295, 2359, 585, 10753, 26244, 9300, 5121, 454, 268, 10753, 26244, 25121, 585, 12752, 476, 275, 269, 271, 454, 268, 10753, 26244, 25121, 585, 12829, 20079, 454, 7804, 269, 1325, 612, 663, 549, 7313, 345, 2763, 2548, 454, 10048, 11245, 4427, 3939, 6176, 454, 10048, 11245, 338, 1058, 581, 11643, 2228, 693, 8940, 6230, 323, 7032, 2593, 676, 11578, 532, 543, 19883, 538, 547, 713, 3896, 269, 4495, 596, 616, 10805, 267, 4945, 1934, 547, 979, 547, 519, 19169, 1106, 269, 2494, 11245, 338, 666, 581, 11643, 2394, 519, 21120, 269, 2353, 4574, 786, 581, 9263, 24595, 269, 20504, 539, 4574, 786, 581, 3370, 11179, 538, 519, 4760, 630, 553, 4166, 607, 7608, 264, 543, 786, 581, 7396, 1927, 593, 519, 2027, 3390, 3896, 269, 3194, 4930, 267, 2689, 4930, 607, 1134, 607, 2110, 10618, 616, 14376, 269, 1280, 9709, 4574, 267, 513, 2140, 543, 2110, 7493, 630, 12671, 476, 1911, 1913, 264, 666, 581, 2366, 547, 519, 32000, 8433, 585, 23318, 593, 713, 3896, 563, 8138, 4784, 22251, 1058, 711, 723, 1044, 3370, 5892, 267, 6862, 581, 896, 7156, 585, 8313, 11992, 630, 21955, 10554, 18659, 4574, 1040, 2353, 22251, 616, 8499, 22275, 539, 998, 513, 2582, 15918, 785, 9263, 21623, 1184, 269, 589, 3391, 585, 4589, 543, 824, 4143, 1344, 585, 19169, 540, 22251, 568, 2139, 593, 519, 27491, 585, 22439, 2985, 269, 11576, 832, 568, 606, 3486, 9263, 24595, 1930, 1569, 5033, 30266, 628, 569, 4760, 3370, 676, 631, 7894, 296, 563, 8923, 3643, 519, 27491, 585, 22439, 2985, 1354, 26446, 513, 12377, 269, 634, 9137, 14409, 932, 1618, 630, 4338, 290, 264, 585, 8313, 538, 713, 1930, 1569, 4760, 568, 476, 13136, 271, 8863, 293, 630, 18933, 1170, 8071, 338, 1040, 4427, 4784, 4574, 1058, 581, 1134, 30149, 543, 946, 1434, 2296, 269, 22439, 949, 946, 631, 7894, 296, 781, 2296, 11049, 3028, 1991, 547, 8313, 610, 1282, 2278, 26941, 563, 268, 32190, 17978, 454, 268, 12829, 4975, 454, 268, 12752, 476, 275, 269, 271, 454, 268, 6052, 28610, 532, 454, 268, 5295, 5004, 0, 4263, 558, 267, 10545, 3926, 883, 799, 1118, 513, 3017, 949, 1360, 1134, 581, 5258, 1863, 540, 519, 11166, 540, 30788, 9901, 5536, 454, 7197, 609, 519, 11046, 568, 8900, 1858, 269, 634, 14230, 568, 1500, 909, 540, 519, 9797, 536, 2683, 13540, 540, 22571, 543, 25268, 11303, 676, 513, 6531, 540, 11874, 536, 2683, 9211, 269, 634, 13540, 568, 1507, 8397, 543, 10053, 607, 10353, 1247, 1210, 9211, 267, 799, 1522, 581, 519, 1769, 652, 536, 2683, 5536, 538, 3993, 2470, 269, 5082, 6425, 616, 26970, 547, 1022, 23904, 5279, 676, 741, 3167, 2604, 282, 1369, 606, 11046, 267, 5122, 4229, 12622, 519, 9211, 2509, 519, 13540, 563, 10303, 609, 519, 3993, 2470, 540, 7061, 11707, 267, 1100, 22072, 12705, 5170, 547, 581, 11207, 25685, 693, 3308, 1944, 519, 11046, 286, 338, 1585, 2934, 267, 799, 607, 513, 1267, 4229, 21575, 547, 2119, 14911, 6337, 540, 707, 11046, 547, 30881, 1896, 7907, 269, 769, 1978, 24947, 267, 519, 9211, 538, 606, 11046, 13789, 899, 5536, 28835, 519, 13540, 269, 769, 824, 11570, 267, 519, 9211, 13789, 899, 6329, 13792, 538, 1747, 5111, 519, 13540, 269, 1452, 556, 5320, 621, 585, 803, 5686, 540, 5951, 6163, 267, 1572, 10739, 1023, 267, 2491, 519, 3892, 540, 2123, 9211, 269, 634, 2932, 540, 519, 11046, 568, 9244, 6766, 676, 891, 20771, 10305, 267, 543, 922, 3114, 8075, 616, 1759, 593, 20771, 1895, 902, 3622, 1634, 607, 16115, 563, 7197, 3390, 568, 7768, 540, 606, 4903, 331, 558, 3130, 540, 6675, 267, 602, 949, 581, 5258, 2864, 24672, 269, 631, 26163, 267, 18867, 267, 616, 7768, 540, 8444, 8678, 676, 3114, 7554, 799, 1522, 581, 1259, 811, 2182, 547, 2736, 269, 5272, 2189, 11046, 5161, 540, 14758, 5536, 286, 4067, 569, 267, 9211, 543, 22140, 269, 1452, 5536, 616, 30788, 9901, 267, 2059, 609, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 21776, 29515, 2757, 12372, 28435, 20379, 4730, 1990, 1248, 320, 543, 5096, 738, 515, 3335, 1031, 7405, 585, 741, 12563, 2575, 543, 7544, 269, 27557, 547, 3561, 11114, 7544, 5322, 1331, 519, 1505, 2919, 538, 3345, 9705, 827, 676, 519, 11114, 25287, 19212, 772, 26284, 590, 641, 563, 763, 13176, 626, 3096, 2553, 899, 1193, 636, 2719, 678, 553, 326, 826, 5964, 610, 26378, 519, 3280, 4580, 575, 565, 701, 269, 18280, 8205, 814, 1631, 6913, 519, 5837, 1164, 2666, 269, 3414, 1995, 267, 2705, 267, 2818, 540, 519, 7544, 1158, 723, 2097, 547, 5431, 922, 7687, 563, 1607, 13315, 971, 3029, 607, 2757, 12473, 6965, 332, 1276, 540, 799, 729, 5921, 8385, 585, 5711, 2773, 267, 3006, 10483, 676, 7405, 269, 12333, 25501, 1500, 2147, 946, 540, 513, 1804, 1560, 540, 4262, 695, 656, 625, 269, 28716, 23968, 5622, 6435, 269, 23968, 5622, 3567, 3755, 910, 5225, 3643, 23968, 5622, 6435, 547, 1451, 875, 547, 1039, 707, 4757, 2232, 563, 13911, 610, 13594, 513, 20396, 2012, 883, 519, 1257, 4216, 269, 8437, 3619, 269, 2659, 11422, 786, 1491, 596, 547, 513, 5680, 2985, 630, 7838, 299, 264, 2404, 609, 602, 20396, 2012, 269, 27189, 2055, 610, 8292, 547, 8222, 563, 25565, 12563, 2575, 1419, 2882, 23475, 1913, 267, 4352, 12563, 15747, 2575, 4386, 4122, 538, 7544, 2575, 5389, 563, 301, 1551, 894, 14235, 3138, 1682, 1804, 538, 519, 2757, 12563, 2575, 540, 1082, 4529, 269, 901, 13315, 971, 3029, 607, 2757, 12473, 6965, 267, 1454, 540, 799, 729, 5921, 8385, 585, 5711, 2773, 267, 3006, 10483, 676, 563, 293, 4594, 523, 1723, 630, 28049, 12332, 281, 1496, 4148, 320, 16659, 1889, 385, 489, 14150, 25818, 538, 922, 7453, 652, 2631, 267, 568, 513, 3318, 1242, 1148, 27322, 1759, 593, 519, 1585, 12563, 3271, 545, 2575, 5389, 540, 8828, 8050, 538, 519, 14628, 2950, 540, 1656, 31647, 807, 267, 6987, 8145, 611, 3120, 543, 11465, 7266, 516, 2593, 513, 9962, 2631, 267, 621, 4016, 547, 891, 7574, 5389, 543, 811, 2413, 7574, 6163, 799, 723, 563, 21158, 543, 2079, 593, 18280, 8205, 781, 6560, 585, 1582, 24148, 689, 5682, 19382, 28315, 781, 3864, 17531, 269, 1403, 596, 616, 513, 4116, 10478, 585, 3872, 1570, 267, 5225, 3643, 32282, 4804, 300, 4215, 585, 513, 2647, 2039, 540, 1863, 3059, 2200, 17364, 9251, 998, 476, 1321, 628, 3446, 6185, 5877, 0, 6624, 8942, 538, 7713, 519, 2470, 540, 519, 2247, 723, 2907, 1044, 1500, 267, 1256, 8757, 519, 1448, 13296, 519, 1360, 6228, 540, 519, 2247, 568, 11130, 585, 543, 1996, 621, 269, 13575, 267, 519, 2470, 540, 519, 2247, 666, 581, 2417, 4839, 3481, 856, 267, 1498, 711, 8209, 3908, 267, 883, 1896, 2127, 269, 3487, 540, 891, 2882, 513, 11826, 2079, 540, 519, 2790, 2621, 543, 3252, 607, 1134, 607, 519, 14374, 883, 519, 9637, 543, 519, 2790, 3601, 543, 519, 3448, 4276, 789, 949, 723, 609, 519, 2168, 1560, 540, 2043, 563, 2690, 519, 1034, 851, 267, 621, 568, 4922, 4371, 602, 972, 6818, 519, 2247, 269, 2372, 924, 593, 519, 14669, 267, 972, 616, 1896, 9840, 602, 1625, 1636, 547, 2232, 519, 3390, 7282, 519, 6228, 540, 519, 2247, 607, 547, 2436, 621, 568, 513, 5094, 11769, 689, 519, 1560, 610, 952, 621, 568, 267, 8197, 267, 513, 6071, 851, 540, 519, 2168, 1373, 540, 812, 630, 305, 657, 5460, 531, 1040, 634, 3069, 540, 32680, 1143, 31234, 602, 519, 2790, 9259, 602, 2291, 538, 519, 2247, 616, 1875, 2275, 23705, 648, 531, 610, 7703, 1100, 2168, 610, 15889, 6228, 563, 16449, 519, 9998, 5717, 602, 1445, 593, 519, 10952, 2666, 902, 585, 12242, 626, 840, 32383, 616, 10630, 538, 519, 12591, 540, 1312, 18573, 543, 17127, 269, 1452, 3504, 15806, 723, 11130, 267, 1498, 789, 3180, 8795, 2093, 538, 1978, 10054, 267, 602, 519, 1360, 4987, 540, 812, 610, 519, 23314, 540, 519, 12200, 540, 519, 9997, 610, 540, 519, 2247, 3112, 581, 2047, 1163, 15903, 2390, 998, 519, 946, 540, 835, 779, 1351, 335, 648, 531, 1373, 563, 1103, 811, 2487, 2053, 267, 681, 2940, 29439, 26075, 11130, 585, 513, 811, 14969, 4661, 585, 519, 2470, 540, 519, 2247, 269, 2334, 568, 267, 646, 13187, 602, 519, 2247, 568, 513, 1875, 14428, 9713, 11769, 602, 3112, 581, 6905, 269, 18766, 689, 713, 267, 29439, 26075, 849, 10660, 1229, 519, 2856, 602, 519, 2247, 568, 547, 581, 4857, 609, 1582, 18221, 610, 267, 811, 4481, 267, 519, 9637, 540, 835, 269, 2372, 924, 8037, 568, 1010, 3801, 693, 23243, 519, 2247, 689, 519, 1351, 335, 648, 531, 2634, 602, 649, 917, 540, 2221, 538, 519, 2168, 2631, 630, 2704, 534, 523, 1040 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 585, 799, 568, 476, 1015, 1315, 476, 1911, 815, 476, 271, 269, 272, 269, 1924, 476, 1015, 2600, 607, 513, 8918, 568, 476, 271, 269, 272, 269, 3721, 476, 273, 568, 547, 9062, 707, 3312, 3902, 676, 707, 8918, 780, 1012, 1548, 568, 513, 476, 2004, 260, 7443, 14345, 2496, 2252, 596, 6108, 8096, 272, 547, 1205, 8096, 273, 267, 602, 779, 513, 476, 2004, 2600, 30825, 12540, 514, 269, 1403, 596, 2461, 2111, 547, 1711, 513, 8605, 585, 8096, 1911, 543, 6133, 621, 585, 8096, 5611, 267, 602, 779, 513, 30825, 540, 8096, 2004, 543, 513, 30825, 12540, 514, 540, 476, 3451, 2600, 269, 1403, 596, 2461, 2111, 547, 6133, 519, 1482, 1587, 585, 8096, 4968, 267, 602, 779, 513, 14345, 540, 476, 5780, 2600, 780, 1012, 1215, 798, 596, 5173, 513, 476, 1789, 260, 14345, 2496, 1692, 798, 594, 5173, 513, 476, 1789, 260, 14345, 286, 31282, 476, 1789, 260, 883, 513, 8918, 676, 12270, 476, 1789, 676, 476, 1911, 267, 1226, 16226, 476, 271, 269, 274, 8160, 19434, 476, 271, 269, 274, 689, 476, 272, 547, 1205, 476, 271, 269, 278, 6185, 643, 728, 519, 3902, 519, 1434, 1942, 596, 676, 476, 271, 269, 278, 7868, 1297, 602, 596, 4309, 568, 875, 1454, 596, 991, 547, 6133, 519, 6221, 585, 547, 1205, 513, 476, 1789, 260, 7443, 14345, 780, 1012, 1548, 1665, 1575, 568, 476, 1839, 14345, 2496, 736, 269, 876, 260, 14303, 841, 12540, 514, 1656, 4460, 1575, 7305, 300, 2752, 298, 16810, 25783, 290, 7728, 8980, 4932, 2752, 294, 2562, 25783, 290, 7728, 8980, 4932, 8085, 2316, 12195, 296, 2207, 25783, 290, 7728, 17803, 21854, 279, 269, 6734, 260, 14338, 23211, 279, 269, 3583, 260, 11277, 25240, 280, 269, 3374, 260, 14862, 21857, 271, 269, 876, 260, 10219, 7367, 811, 9343, 692, 1012, 1548, 568, 513, 2635, 7443, 14345, 585, 513, 1507, 1870, 2496, 10376, 9441, 538, 513, 1507, 1870, 11479, 519, 19114, 2539, 269, 2290, 1353, 1336, 602, 476, 3445, 260, 540, 782, 3028, 543, 5663, 4213, 609, 811, 982, 8096, 10384, 267, 1822, 538, 14407, 6455, 616, 5665, 693, 896, 476, 1015, 260, 19114, 950, 476, 1428, 260, 268, 736, 260, 568, 2693, 4998, 780, 1012, 4208, 568, 14345, 1732, 982, 1665, 1575, 2496, 12234, 267, 1210, 14345, 547, 1305, 707, 5777, 2306, 621, 4443, 547, 3589, 20656, 269, 4635, 1665, 1575, 267, 596, 3112, 3077, 519, 5377, 1899, 3927, 1317, 621, 1281, 711, 1331, 782, 519, 3790, 2404, 609, 1818, 602, 1587, 780, 1012, 1548, 2472, 723, 519, 5207, 7443, 14345, 2496, 297, 1168, 601, 787, 19105, 4460, 1575, 281, 476, 1911, 260, 20486, 4460, 1575, 19105, 281, 476, 4968, 260, 15697, 5253, 4460, 1575, 19105, 281, 476, 4968, 260, 15812, 1575, 19105, 281, 476, 6110, 260, 293, 1248, 8132, 4460, 5725, 3328, 281, 476, 14596, 260, 16978, 16361, 4460, 5725, 3328, 281, 476, 16020, 260, 26170, 1948, 476, 272, 538, 476, 1001, 279, 910, 293, 5831, 20324, 8681, 8745, 4460, 1575, 19105, 281, 476, 8517, 260, 4470, 593, 519, 7121, 780, 1012, 1215, 798, 596, 5173, 14345, 1665, 1575, 2496, 2414, 5173, 1665, 1575, 10208, 707, 1587, 1942, 689, 707, 9513, 3902, 269, 3973, 7941, 602, 2121, 7443, 676, 519, 1942, 269, 1677, 5173, 14345, 267, 7941, 707, 1587, 1942, 676, 519, 10685, 3902, 780, 1012, 1548, 1870, 814, 5207, 7443, 14345, 2496, 9349, 15209, 543, 19098, 2060, 513, 2121, 7443, 14345, 540, 476, 866, 269, 279, 9077, 1433, 15209, 267, 8051, 267, 3454, 7041, 267, 543, 2628, 2651, 2533, 723, 1279, 1044, 930, 540, 519, 1034, 19311, 4213, 585, 11639, 780, 1012, 1548, 2872, 814, 519, 5207, 7443, 14345, 2496, 2080, 616, 519, 476, 1428, 1034, 19311, 6080, 538, 476, 1001, 277, 267, 19486, 676, 2121, 7443, 14345, 281, 28398, 532, 267, 3454, 3341, 267, 1433, 15209, 267, 2628, 2651, 2533, 281, 476, 1240, 269, 274, 260, 299, 20235, 2533, 281, 476, 1704, 269, 275, 260, 27832, 832, 540, 1483, 10040, 281, 476, 1704, 269, 275, 260, 11073, 18345, 1416, 7740, 281, 476, 1428, 269, 280, 260, 19423, 1182, 540, 1483, 10040, 8069, 543, 2156, 24329, 281, 476, 1691, 269, 279, 260, 19423, 1182, 540, 824, 1072, 9439, 281, 476, 1691, 269, 273, 260, 5415, 3688, 2507, 1892, 692, 1012, 1772, 14345, 543, 1665, 1575, 519, 1482, 3364, 2496, 13828, 7443, 14345, 543, 1665, 1575, 946, 8907, 543, 3790, 607, 851, 540, 741, 9273, 269, 634, 1292, 3017, 1063, 519, 1079, 568, 602, 7443, 14345, 4016, 547, 6455, 14263, 519, 1942, 540, 5370, 4421, 1247, 1665, 1575, 547, 519, 2179, 676, 799, 519, 1942, 540, 513, 1434, 568, 2799, 538, 1931, 547, 1205, 547, 519, 3803, 9513, 3902, 780, 1012, 1548, 568, 519, 3328, 7443, 14345, 585, 10685, 2496, 763, 4473, 538, 10918, 2228, 814, 5129, 513, 2462, 1909, 538, 5329, 10685, 19114, 1970, 269, 1306, 513, 2489, 4341, 540, 14853, 267, 513, 476, 1015, 260, 2121, 7443, 14345, 568, 16363, 3328, 267, 1247, 513, 476, 736, 260, 14345, 568, 16363, 1164, 543, 476, 276, 260, 1970, 780, 1012, 1215, 798, 596, 5173, 1665, 1575, 593, 1942, 2496, 8245, 2952, 1491, 519, 6455, 3902, 14263, 519, 1770, 1942, 267, 543, 7941, 602, 1297, 676, 519, 1770, 1942, 269, 3973, 267, 9062, 676, 476, 1911, 547, 3313, 519, 1665, 1575, 6871, 269, 1280, 1383, 267, 952, 707, 1587, 3790, 8096, 2004, 547, 1118, 543, 519, 9513, 3902, 568, 8096, 4037, 267, 1287, 519, 1665, 1575, 6871, 1131, 581, 476, 2004, 260, 281, 630, 8096, 4037, 1107, 8096, 2004, 264, 1315, 8096, 2004, 815, 16317, 1012, 1215, 798, 596, 5173, 513, 476, 736, 260, 1665, 1575, 2496, 11372, 17586, 519, 3312, 3902, 676, 476, 271, 269, 273, 547, 1265, 519, 2179, 540, 513, 476, 736, 2600, 1665, 1575, 267, 610, 9062, 621, 676, 476, 272, 269, 273, 547, 1265, 519, 2698, 3902, 630, 10175, 1665, 1575, 1040, 1403, 596, 723, 519, 3803, 3902, 630, 10175, 1665, 1575, 264, 543, 1616, 547, 917, 1018, 519, 3312, 3902, 729, 267, 7941, 676, 476, 272, 269, 273, 780, 1012, 1215, 1454, 568, 513, 476, 2004, 260, 1665, 1575, 2496, 10303, 1665, 1575, 568, 23125, 607, 513, 6871, 540, 519, 6455, 3902, 267, 30945, 519, 1942, 1797, 513, 476, 2004, 2600, 1665, 1575, 269, 1280, 1383, 267, 952, 707, 1942, 593, 606, 6221, 568, 8096, 272, 267, 707, 9513, 3902, 786, 581, 8096, 273, 269, 17823, 1399, 2600, 540, 8096, 273, 568, 8096, 272, 267, 799, 568, 707, 1665, 1575, 269, 0, 258, 476, 4510, 277, 2475, 3819, 29054, 538, 2475, 22232, 18324, 9398, 692, 1012, 23586, 692, 4510, 277, 2475, 3819, 29054, 568, 6697, 547, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 276, 2475, 22232, 18324, 9398, 16804, 272, 6540, 1012, 23586, 4542, 1215, 547, 6460, 476, 4510, 277, 2475, 3819, 29054, 547, 2475, 22232, 18324, 9398, 2496, 2171, 917, 630, 2421, 4214, 264, 602, 281, 1269, 272, 315, 9507, 18097, 787, 8663, 7758, 4153, 13627, 476, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 315, 9507, 346, 755, 324, 5684, 3019, 10592, 2171, 666, 1305, 909, 513, 8167, 547, 4194, 585, 519, 1297, 540, 2475, 22232, 18324, 9398, 780, 259, 272, 2340, 479, 351, 3819, 8663, 7758, 476, 4510, 277, 2340, 479, 351, 3819, 8663, 7758, 9881, 486, 476, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 2340, 479, 351, 579, 4614, 5684, 3019, 1535, 2340, 479, 351, 579, 4614, 5684, 3019, 6911, 3086, 267, 649, 3444, 9062, 547, 4194, 585, 938, 7164, 1269, 343, 259, 1384, 259, 343, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 13627, 1422, 2765, 346, 4510, 277, 315, 9507, 18097, 787, 8663, 7758, 12453, 272, 315, 9507, 18097, 787, 8663, 7758, 3686, 265, 23056, 6812, 269, 3445, 280, 271, 3445, 3445, 280, 272, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 1729, 1535, 315, 9507, 346, 755, 324, 5684, 3019, 4153, 13627, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 3393, 280, 315, 9507, 346, 755, 324, 5684, 3019, 10592, 6962, 281, 1269, 4510, 277, 2340, 479, 351, 3819, 8663, 7758, 9881, 486, 476, 10441, 277, 2918, 10463, 269, 3393, 275, 276, 3393, 3393, 280, 2340, 479, 351, 579, 4614, 5684, 3019, 6911, 1012, 23586, 538, 519, 6587, 4287, 692, 763, 11201, 540, 519, 7503, 3815, 568, 602, 476, 272, 2475, 22232, 23188, 568, 3160, 547, 476, 280, 269, 4649, 278, 4281, 277, 6812, 277, 22001, 8660, 324, 268, 5400, 2053, 476, 4510, 277, 2475, 3819, 29054, 780, 2005, 666, 849, 581, 6829, 607, 281, 476, 4510, 277, 2475, 3819, 29054, 568, 3160, 547, 4399, 2765, 346, 272, 7346, 9507, 346, 280, 269, 4649, 278, 4281, 277, 6812, 277, 22001, 8660, 324, 268, 5400, 22288, 2475, 22232, 18324, 9398, 780, 1012, 20976, 11582, 692, 2304, 16977, 10230, 1267, 1131, 581, 281, 2185, 4627, 543, 17288, 29350, 2475, 3819, 29054, 568, 827, 4557, 2929, 267, 2185, 4627, 543, 24239, 26690, 8536, 267, 3670, 4627, 543, 29235, 31644, 1448, 2185, 2185, 2475, 22232, 18324, 9398, 267, 610, 4244, 569, 267, 513, 2475, 22232, 23188, 568, 827, 4642, 2053, 2185, 4627, 543, 17288, 29350, 2475, 3819, 29054, 780, 1012, 14272, 17084, 692, 314, 272, 316, 634, 8856, 568, 476, 1428, 1713, 9704, 630, 27917, 10117, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 6393, 24342, 949, 2270, 1507, 6959, 1813, 547, 519, 946, 540, 13735, 1448, 12980, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 259, 1839, 269, 876, 0, 9213, 779, 4213, 616, 1210, 3684, 1565, 6620, 547, 2087, 4835, 543, 6075, 1922, 5217, 4238, 267, 3056, 547, 1732, 2833, 585, 5561, 269, 10724, 4804, 630, 7876, 264, 13071, 3549, 10244, 519, 1379, 540, 5841, 4987, 543, 2413, 4066, 547, 2087, 538, 2081, 602, 941, 711, 2009, 1354, 563, 1103, 519, 1439, 267, 782, 540, 713, 2306, 621, 4443, 585, 4213, 547, 5838, 1871, 593, 513, 1007, 1377, 269, 6875, 5413, 540, 891, 3670, 3156, 540, 3684, 1565, 585, 2413, 1870, 3156, 563, 1432, 568, 10724, 4804, 888, 300, 22389, 1565, 630, 7876, 264, 568, 513, 1826, 540, 5841, 4987, 630, 9590, 264, 602, 6087, 5904, 547, 1451, 1510, 1373, 12799, 23553, 563, 1103, 824, 1913, 267, 2864, 982, 2348, 741, 10342, 840, 20452, 676, 1480, 23501, 267, 3684, 1565, 6620, 946, 1239, 547, 1711, 3631, 602, 1450, 873, 547, 2087, 741, 10342, 8850, 269, 901, 666, 1331, 3388, 689, 7114, 1018, 1004, 616, 6158, 827, 538, 513, 2016, 4062, 540, 1257, 267, 547, 7446, 519, 1655, 2619, 547, 6330, 513, 1582, 28391, 1286, 998, 606, 10167, 563, 3963, 2659, 6355, 20126, 10724, 4804, 454, 2026, 519, 946, 540, 3642, 6620, 5170, 547, 1332, 267, 4213, 723, 606, 4316, 547, 1711, 10531, 6075, 2833, 602, 10508, 5561, 267, 2333, 12802, 267, 543, 5397, 8907, 269, 1809, 1354, 596, 666, 1711, 891, 2413, 3642, 14617, 2833, 267, 596, 723, 547, 1101, 1174, 1946, 707, 1870, 2115, 3684, 1565, 269, 2913, 779, 1413, 693, 1614, 2081, 602, 2413, 4213, 946, 3642, 6620, 547, 5397, 1732, 2164, 563, 307, 13759, 11426, 619, 2060, 2859, 9608, 1242, 11619, 1137, 454, 19968, 525, 602, 1810, 1406, 946, 3642, 1981, 11488, 519, 1482, 5048, 547, 1169, 6075, 269, 901, 666, 1331, 3388, 689, 6725, 10618, 267, 547, 12747, 15737, 602, 5561, 4309, 1310, 513, 6718, 269, 10251, 267, 891, 10618, 616, 1419, 791, 5966, 543, 666, 2490, 5561, 1055, 689, 513, 6216, 1310, 1175, 835, 5872, 563, 8620, 513, 14568, 14871, 15232, 630, 308, 311, 994, 763, 1655, 3642, 14617, 2645, 946, 3593, 1239, 547, 30082, 2303, 606, 4998, 1995, 585, 1142, 1268, 269, 901, 666, 1331, 3388, 689, 6700, 1587, 7648, 267, 547, 10531, 1587, 7840, 1759, 593, 513, 6075, 779, 9140, 1686, 563, 19102, 848, 28521, 2060, 9608, 1242, 8605, 32505, 454, 19968, 525, 602, 946, 3642, 6620, 547, 1379, 10531, 1587, 7840, 666, 1294, 1713, 4679, 538, 8907, 269, 901, 568, 1317, 891, 6620, 666, 2697, 1018, 2472, 1808, 5561, 616, 2693, 547, 4444, 267, 543, 4363, 1346, 2472, 547, 824, 5561, 945, 616, 2693, 547, 4444, 873, 607, 1134, 563, 1432, 1411, 2052, 1684, 2060, 10724, 4804, 454, 4131, 779, 1491, 513, 1413, 693, 1018, 596, 666, 798, 609, 519, 1655, 3684, 1565, 6620, 585, 2413, 1870, 3156, 563, 27775, 754, 15733, 2060, 20985, 8606, 18146, 454, 3080, 540, 519, 1034, 1455, 3684, 1565, 2553, 568, 10319, 19003, 269, 901, 5690, 23607, 1239, 689, 513, 1895, 540, 5561, 630, 22372, 593, 1919, 899, 2250, 16306, 267, 16863, 267, 543, 824, 4205, 264, 547, 1118, 7840, 585, 824, 5561, 269, 1452, 7840, 948, 5561, 1265, 4010, 1018, 789, 991, 5488, 543, 609, 513, 2362, 4110, 540, 6111, 563, 19547, 624, 17793, 644, 543, 11485, 2060, 16066, 9828, 454, 2414, 2327, 602, 707, 1870, 568, 1152, 8391, 16048, 9753, 689, 5561, 267, 621, 779, 1271, 547, 723, 12611, 7020, 6620, 538, 1747, 269, 1703, 616, 513, 1297, 540, 3684, 1565, 6620, 602, 666, 948, 840, 1606, 10547, 9753, 1354, 789, 3914, 707, 1870, 267, 1519, 3375, 4054, 543, 31096, 7020, 563, 10048, 720, 4578, 2060, 7849, 5678, 14409, 630, 301, 10861, 264, 543, 8950, 17496, 454, 19968, 525, 2445, 513, 2603, 540, 13417, 19099, 1239, 602, 666, 581, 2352, 547, 4383, 269, 634, 1655, 3642, 6620, 585, 1239, 2359, 666, 948, 3549, 10891, 713, 1239, 267, 5659, 621, 267, 543, 2322, 621, 547, 946, 538, 6209, 2081, 269, 1358, 798, 713, 998, 513, 4999, 540, 2780, 5075, 543, 28589, 563, 20663, 5075, 568, 606, 5690, 602, 2337, 6191, 5659, 543, 1174, 2592, 269, 28589, 1568, 538, 519, 1482, 1259, 267, 855, 568, 1031, 547, 5659, 8301, 5439, 540, 1004, 6158, 269, 901, 4999, 2636, 5904, 547, 1732, 1174, 2923, 543, 711, 581, 7357, 882, 5050, 593, 1257, 563, 2690, 4213, 267, 713, 1797, 602, 5904, 666, 1451, 811, 827, 1239, 602, 621, 25173, 689, 1514, 2923, 543, 824, 2959, 602, 616, 711, 1257, 2861, 563, 307, 1778, 31740, 2060, 22365, 7593, 4804, 454, 3725, 514, 7593, 1565, 568, 513, 3684, 1565, 5690, 602, 14884, 5520, 547, 4431, 547, 1978, 3871, 609, 519, 1655, 2009, 4093, 563, 1607, 1568, 676, 7421, 4093, 543, 1818, 7840, 593, 875, 547, 2087, 269, 3973, 267, 519, 1982, 25040, 2318, 5615, 609, 12587, 543, 2942, 5615, 609, 19439, 906, 563, 2690, 2866, 5301, 267, 602, 1797, 602, 12747, 1949, 666, 5659, 543, 1174, 9441, 2773, 267, 543, 12927, 5551, 5615, 8850, 269, 901, 13071, 3549, 25117, 2866, 2853, 563, 8620, 14871, 4515, 3796, 2060, 3642, 27122, 454, 6624, 4213, 946, 3684, 1565, 3631, 547, 1711, 3593, 12632, 1759, 593, 6075, 1239, 602, 2337, 1346, 4213, 6494, 10531, 10618, 543, 5838, 4143, 2472, 269, 901, 666, 1331, 3388, 689, 2857, 2056, 2472, 267, 547, 2870, 6098, 22099, 2966, 547, 9029, 547, 5561, 685, 4690, 563, 27165, 12632, 2154, 513, 2603, 540, 1239, 543, 19003, 602, 1239, 547, 1265, 519, 1318, 3575, 540, 1344, 547, 1628, 519, 9043, 593, 269, 10724, 1565, 2306, 621, 2009, 547, 25117, 519, 4015, 543, 2079, 540, 1239, 547, 1711, 12632, 8850, 269, 2368, 3549, 1256, 946, 16066, 547, 9337, 741, 3593, 12632, 1759, 593, 741, 2228, 8852, 538, 1483, 6066, 269, 14568, 12632, 1611, 602, 519, 2754, 666, 22141, 811, 3927, 547, 2743, 6075, 2115, 543, 3251, 4143, 563, 13014, 12829, 22339, 1047, 906, 2060, 16066, 27122, 454, 3849, 3200, 2358, 568, 513, 1164, 3613, 1389, 3014, 602, 666, 1118, 610, 2736, 513, 1870, 267, 2523, 538, 552, 1260, 12692, 269, 18641, 267, 3642, 6620, 666, 948, 4213, 1711, 811, 4143, 22099, 602, 9029, 547, 5561, 945, 616, 1034, 2693, 547, 4945, 543, 4444, 563, 1607, 568, 2944, 676, 9477, 740, 2773, 543, 9256, 14573, 609, 3593, 12632, 547, 3313, 799, 3755, 616, 7722, 676, 1808, 740, 2609, 269, 16066, 3678, 919, 519, 1646, 540, 1007, 18537, 602, 616, 1759, 593, 713, 1239, 2079, 607, 1134, 607, 519, 5551, 9072, 540, 519, 2754, 269, 2060, 2614, 4977, 3593, 1239, 267, 16066, 6620, 666, 20427, 6318, 519, 7145, 2557, 585, 513, 2754, 779, 10229, 563, 14946, 634, 24486, 547, 2422, 10724, 4804, 538, 707, 6355, 454, 300, 22389, 1565, 568, 513, 3532, 1907, 538, 519, 1318, 3946, 269, 5269, 2386, 602, 707, 2754, 814, 519, 1318, 5989, 538, 1747, 547, 1491, 5413, 540, 16066, 6620, 607, 789, 1020, 269, 13555, 918, 7019, 24728, 693, 630, 8517, 264, 476, 28638, 268, 23310, 279, 547, 1451, 811, 827, 16066, 543, 875, 547, 5965, 707, 1870, 547, 2322, 621, 547, 946, 269, 0, 2691, 2052, 9040, 625, 5620, 16677, 658, 344, 974, 888, 288, 2603, 540, 3237, 616, 18516, 950, 741, 9002, 666, 723, 16677, 658, 344, 974, 269, 634, 2626, 547, 602, 2243, 568, 711, 3109, 543, 3043, 269, 16677, 658, 344, 974, 568, 513, 1390, 1259, 585, 1453, 547, 5372, 12862, 267, 32690, 267, 6886, 267, 543, 7280, 950, 789, 616, 7210, 610, 950, 519, 4365, 568, 3905, 269, 1717, 267, 621, 779, 1271, 547, 2911, 609, 707, 12963, 1014, 1354, 4758, 707, 4816, 4376, 824, 982, 6089, 332, 20488, 610, 4542, 950, 646, 24172, 814, 13165, 1317, 930, 1919, 899, 11945, 10433, 666, 1118, 621, 8338, 563, 1432, 1772, 16677, 658, 344, 974, 13242, 1280, 888, 303, 539, 658, 344, 974, 568, 5631, 1031, 547, 1521, 18024, 538, 1312, 9002, 543, 1453, 269, 898, 814, 519, 1697, 32690, 267, 6886, 267, 543, 7280, 602, 938, 4703, 991, 950, 649, 616, 13204, 3603, 865, 621, 666, 581, 1031, 585, 7646, 13165, 607, 1134, 563, 2691, 2052, 9040, 625, 5620, 16677, 658, 344, 974, 888, 303, 539, 658, 344, 974, 568, 513, 5277, 5921, 547, 1521, 18024, 538, 12256, 543, 1453, 269, 898, 3568, 1216, 267, 7280, 630, 338, 13610, 1070, 9770, 17296, 630, 14456, 6070, 264, 543, 3632, 878, 3679, 269, 634, 15111, 814, 711, 2943, 5950, 606, 4013, 2085, 585, 11480, 1922, 29623, 609, 16677, 658, 344, 974, 855, 621, 2693, 8813, 1063, 3670, 3275, 543, 1079, 1296, 540, 2085, 269, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1040, 16677, 658, 344, 974, 1590, 581, 29809, 2687, 547, 10189, 5528, 1354, 4616, 269, 898, 1058, 711, 581, 2016, 3768, 559, 3176, 610, 1031, 2250, 519, 1163, 19418, 4266, 563, 4415, 9002, 1447, 982, 476, 277, 3275, 2025, 267, 596, 1058, 581, 18762, 269, 29179, 1216, 610, 824, 12862, 824, 982, 4542, 610, 6089, 5144, 547, 12256, 949, 2014, 1713, 8374, 563, 303, 539, 658, 344, 974, 667, 3151, 1280, 5606, 1218, 454, 303, 539, 658, 344, 974, 2501, 538, 1079, 1292, 3029, 281, 8869, 543, 5277, 269, 634, 15111, 814, 711, 5950, 606, 4013, 2085, 585, 11480, 1922, 29623, 609, 16677, 658, 344, 974, 855, 621, 2693, 8813, 1063, 3670, 3275, 543, 1079, 1296, 540, 2085, 269, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1916, 763, 2489, 4341, 540, 14853, 950, 1210, 519, 32314, 1106, 568, 602, 835, 1085, 17274, 1058, 581, 6404, 883, 5216, 13728, 610, 3368, 513, 2148, 540, 1216, 269, 901, 7848, 666, 1287, 2901, 581, 10057, 1369, 8938, 3764, 26063, 610, 6740, 538, 519, 21067, 585, 909, 547, 17288, 32732, 3108, 1354, 1373, 23987, 865, 1279, 607, 596, 2285, 621, 1776, 2899, 936, 2394, 5347, 1354, 6704, 563, 299, 18612, 16677, 658, 344, 974, 568, 849, 2922, 585, 1346, 4587, 982, 1079, 1296, 540, 2085, 267, 607, 1134, 607, 4079, 543, 20650, 945, 616, 7680, 13165, 630, 15290, 621, 3568, 11379, 1916, 303, 539, 658, 344, 974, 1590, 581, 29809, 2687, 547, 10189, 5528, 1354, 4616, 269, 898, 1058, 711, 581, 2016, 3768, 559, 3176, 610, 1031, 2250, 519, 1163, 19418, 4266, 563, 2691, 1210, 5277, 16677, 658, 344, 974, 538, 513, 11480, 267, 596, 666, 3575, 835, 851, 16677, 658, 344, 974, 609, 2185, 2694, 1216, 1287, 3002, 519, 7848, 909, 538, 513, 1494, 593, 707, 23041, 9008, 2394, 3905, 855, 711, 14495, 1107, 1472, 476, 5611, 5232, 18278, 269, 3973, 21199, 1134, 543, 946, 1369, 8938, 3764, 1310, 9427, 689, 519, 3002, 2707, 268, 6382, 267, 4558, 538, 519, 21067, 2394, 1985, 8023, 942, 952, 596, 786, 7227, 3476, 982, 602, 256, 1403, 1210, 519, 32314, 1106, 267, 1039, 12963, 32690, 8869, 883, 5216, 13728, 610, 3368, 513, 2148, 540, 1216, 269, 1744, 820, 621, 909, 1134, 267, 1450, 621, 547, 23271, 4625, 952, 2877, 1107, 1287, 3049, 519, 4816, 2336, 17954, 770, 325, 539, 5606, 1218, 15775, 16677, 658, 344, 974, 454, 2691, 1210, 16677, 658, 344, 974, 547, 556, 5139, 3433, 513, 6089, 325, 539, 10867, 267, 596, 1058, 3136, 547, 6089, 12890, 519, 4816, 1282, 519, 3797, 269, 16711, 786, 4217, 547, 865, 6139, 707, 4816, 1247, 849, 12419, 1454, 32571, 29454, 630, 274, 1916, 17954, 770, 5144, 2882, 1271, 12489, 602, 949, 5351, 538, 519, 4339, 1996, 4576, 269, 898, 786, 849, 948, 609, 519, 556, 5139, 1674, 3797, 267, 5310, 1256, 3432, 532, 621, 909, 269, 4438, 891, 10108, 267, 1498, 267, 707, 4816, 949, 1020, 10151, 26178, 22166, 269, 32587, 846, 949, 1118, 519, 2589, 540, 12884, 10938, 4345, 2063, 3476, 269, 1879, 596, 2057, 10683, 6981, 1247, 8808, 267, 707, 4816, 4991, 782, 540, 519, 5383, 540, 6089, 5144, 1510, 7181, 2042, 269, 1261, 610, 1352, 1058, 581, 2111, 547, 6023, 10683, 538, 707, 2732, 1310, 519, 19210, 814, 5293, 563, 13528, 3121, 1922, 539, 5606, 1218, 14171, 16677, 658, 344, 974, 454, 2005, 779, 19624, 547, 3247, 8023, 4542, 547, 12256, 945, 5749, 1406, 2111, 547, 1832, 12862, 1524, 269, 2422, 513, 23188, 610, 861, 16206, 547, 1683, 16677, 658, 344, 974, 538, 6263, 5666, 540, 476, 271, 269, 1428, 547, 476, 271, 269, 274, 5714 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3987, 814, 1044, 20406, 8375, 585, 519, 2250, 1614, 5756, 267, 8272, 337, 1681, 606, 2333, 538, 519, 9860, 540, 2597, 2042, 543, 17324, 11570, 769, 1808, 267, 519, 9860, 540, 3987, 568, 3395, 1034, 6385, 538, 1970, 543, 1647, 4747, 16453, 1973, 4006, 585, 2021, 6082, 563, 11514, 25068, 5472, 1543, 1570, 593, 713, 1357, 3135, 267, 1519, 8675, 267, 519, 28445, 267, 3332, 267, 11585, 267, 543, 1114, 4704, 1239, 568, 585, 21141, 3252, 9003, 901, 1344, 8225, 1973, 4006, 2157, 1310, 4189, 1058, 711, 581, 2219, 540, 2407, 267, 909, 547, 4266, 267, 543, 3884, 512, 9277, 585, 946, 13722, 10552, 17491, 538, 1747, 540, 513, 3643, 267, 8400, 267, 610, 5796, 540, 513, 3656, 267, 2564, 267, 610, 1776, 3318, 901, 1543, 1570, 568, 6035, 676, 1775, 8469, 1460, 543, 568, 1888, 547, 1775, 8469, 1460, 16301, 634, 5999, 543, 12226, 616, 711, 31045, 610, 2731, 5363, 543, 616, 1500, 856, 972, 676, 24412, 267, 711, 7189, 563, 288, 4576, 6353, 676, 606, 3668, 540, 2702, 547, 1184, 14836, 1369, 519, 2732, 267, 607, 513, 1439, 1267, 540, 513, 2539, 538, 610, 2698, 9000, 540, 7378, 5663, 2904, 2154, 24409, 540, 7378, 4505, 982, 6980, 547, 948, 538, 519, 10307, 540, 14836, 11412, 531, 9848, 6523, 22202, 267, 6825, 676, 513, 1970, 17669, 12939, 585, 7280, 3794, 26651, 10892, 568, 3339, 543, 15847, 4191, 616, 15877, 7392, 476, 273, 20336, 602, 6799, 2429, 6689, 610, 18273, 267, 2356, 607, 606, 1313, 23865, 8789, 16023, 538, 799, 972, 568, 21022, 2705, 711, 15534, 7378, 2504, 676, 519, 18558, 563, 25324, 976, 609, 3987, 945, 1491, 7378, 723, 547, 581, 18762, 827, 18656, 3101, 538, 796, 680, 10165, 5721, 853, 1066, 6681, 2168, 3635, 666, 6385, 6175, 741, 1973, 4006, 543, 10511, 10028, 513, 31202, 23303, 5114, 1280, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 513, 1268, 4171, 1973, 7280, 3942, 568, 936, 476, 7742, 8406, 546, 331, 267, 519, 5796, 1223, 581, 711, 547, 3635, 538, 1022, 2463, 2311, 713, 4268, 267, 519, 5232, 540, 7378, 616, 1932, 1970, 543, 519, 26430, 1131, 723, 1966, 24317, 7280, 883, 16706, 16757, 8031, 563, 1607, 28994, 3121, 14998, 585, 7928, 10386, 540, 1973, 7280, 9832, 5900, 3737, 547, 621, 568, 513, 31092, 602, 15920, 519, 9623, 547, 513, 533, 4526, 899, 1062, 901, 1062, 814, 513, 3308, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 5496, 602, 2636, 519, 649, 13145, 547, 1294, 267, 711, 1152, 519, 1699, 7280, 4974, 267, 855, 10123, 519, 8642, 7835, 769, 930, 3457, 267, 519, 3432, 540, 1689, 540, 1973, 4006, 666, 10123, 581, 3254, 15742, 535, 1662, 687, 786, 15372, 952, 519, 3432, 540, 1689, 6920, 519, 649, 13145, 568, 693, 1981, 585, 21177, 610, 8375, 1973, 7280, 1932, 6385, 2290, 4528, 568, 4481, 2966, 547, 8818, 609, 741, 7378, 15450, 563, 763, 3099, 540, 2053, 602, 596, 1175, 4983, 707, 1973, 4006, 786, 4096, 593, 519, 2186, 540, 3987, 602, 596, 1654, 543, 519, 2186, 540, 6646, 596, 1491, 547, 4308, 609, 707, 3987, 1280, 1383, 267, 2043, 945, 1491, 7378, 949, 1590, 13182, 811, 2356, 982, 2043, 945, 1810, 512, 1491, 7378, 13185, 2059, 609, 707, 1072, 1416, 5234, 827, 875, 1419, 8899, 10552, 17491, 12580, 547, 2638, 707, 1973, 4006, 1403, 596, 17570, 1282, 960, 610, 5721, 267, 602, 5714, 2115, 547, 581, 8719, 865, 596, 991, 547, 4235, 3063, 563, 9596, 827, 6107, 3987, 2359, 267, 1426, 1544, 543, 12003, 2409, 4586, 14818, 6969, 1411, 16202, 1656, 5565, 25980, 2991, 454, 1877, 1703, 616, 513, 2647, 5542, 540, 2589, 602, 1223, 1291, 547, 513, 2392, 328, 3449, 23567, 1403, 2451, 15860, 610, 16789, 569, 7307, 267, 1826, 476, 273, 3987, 666, 1267, 538, 513, 5542, 540, 2042, 4658, 609, 4990, 476, 273, 3987, 666, 723, 513, 2462, 5542, 540, 2589, 930, 2043, 4465, 512, 723, 2589, 538, 1022, 2463, 563, 305, 18432, 543, 6803, 18441, 538, 519, 7330, 3489, 2539, 2298, 1134, 1373, 1416, 6875, 942, 547, 1413, 693, 707, 10264, 3232, 585, 1022, 11909, 15649, 1403, 596, 1654, 21399, 267, 28338, 267, 9397, 538, 519, 22405, 543, 2960, 267, 5563, 267, 610, 1628, 909, 540, 1289, 4926, 267, 1294, 513, 3723, 4387, 267, 1634, 607, 513, 10540, 9332, 2077, 769, 3210, 547, 519, 5046, 476, 866, 6855, 267, 930, 14453, 14078, 723, 9250, 7341, 547, 4217, 1004, 609, 3987, 1548, 1772, 634, 16453, 10552, 17491, 5426, 10536, 519, 6527, 543, 634, 1007, 10372, 4019, 547, 11570, 609, 513, 7050, 19483, 543, 2832, 547, 3313, 14980, 6381, 540, 3987, 865, 602, 7189, 1522, 21559, 7525, 2126, 563, 29587, 267, 2247, 267, 14401, 267, 543, 16757, 8031, 616, 1851, 513, 7274, 540, 9030, 8219, 540, 938, 26430, 799, 616, 4470, 593, 513, 29287, 1683, 540, 7280, 547, 1599, 5688, 958, 5221, 540, 713, 267, 621, 521, 1271, 547, 946, 891, 9360, 676, 2933, 1403, 596, 556, 593, 930, 2186, 540, 1114, 15847, 4915, 267, 596, 1616, 547, 960, 5702, 2059, 609, 707, 4387, 547, 1118, 946, 540, 519, 1318, 13121, 1137, 2659, 15847, 6646, 1223, 1590, 1772, 4672, 8645, 1434, 585, 1970, 1973, 4006, 581, 22485, 607, 596, 2308, 891, 9360, 607, 23182, 267, 865, 1118, 2386, 547, 1448, 856, 602, 596, 556, 2921, 873, 547, 707, 10629, 769, 930, 2665, 267, 519, 8192, 9360, 649, 3769, 538, 938, 6268, 949, 948, 596, 8774, 2597, 3509, 17551, 547, 2087, 707, 10894, 3902, 267, 799, 949, 2087, 519, 1297, 540, 8477, 596, 6633, 3232, 563, 2521, 24113, 7423, 593, 13767, 2044, 585, 513, 2487, 543, 17598, 15165, 610, 1039, 6496, 693, 528, 341, 770, 11294, 6318, 1973, 4006, 538, 31911, 9267, 22756, 610, 890, 322, 753, 547, 707, 27046, 22596, 610, 11491, 7637, 9192, 901, 3340, 513, 2370, 3787, 540, 2979, 543, 15109, 519, 1455, 3099, 540, 1648, 596, 3548, 1142, 1554, 543, 602, 972, 616, 2185, 1648, 829, 6121, 540, 19346, 1280, 3236, 267, 1058, 596, 991, 827, 476, 8517, 8477, 689, 19719, 267, 1287, 596, 9090, 1131, 3804, 547, 3548, 827, 476, 1220, 10101, 540, 19719, 1142, 1554, 1452, 11041, 666, 581, 31067, 14678, 9001, 513, 886, 12528, 610, 2527, 1645, 873, 593, 519, 1560, 6001, 525, 596, 882, 1516, 2566, 799, 568, 513, 9649, 1829, 18503, 538, 2352, 6381, 540, 3987, 1548, 1772, 589, 16453, 10552, 17491, 5426, 14171, 3617, 7378, 18262, 2059, 609, 11311, 2126, 4400, 10552, 17491, 12580, 3117, 11167, 6527, 568, 15695, 585, 840, 31911, 543, 31911, 563, 4913, 267, 596, 786, 991, 547, 1174, 602, 519, 29944, 4994, 1175, 25221, 875, 2576, 521, 7280, 786, 4431, 547, 6980, 593, 1455, 2991, 2921, 2189, 2123, 7648, 896, 7156, 267, 930, 1004, 949, 1294, 513, 3210, 3677, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 610, 6175, 982, 519, 6093, 1215, 596, 1521, 543, 3247, 1164, 1973, 4006, 5673, 593, 519, 2014, 543, 707, 2489, 1134, 1373, 1809, 3622, 267, 621, 26270, 5176, 6157, 2270, 2324, 2059, 609, 707, 2564, 2319, 593, 513, 1544, 5473, 513, 9192, 540, 1259, 540, 1272, 6208, 543, 6527, 602, 666, 4217, 596, 20923, 6023, 707, 1072, 563, 30048, 22577, 666, 1459, 513, 3376, 3099, 540, 2589, 267, 689, 9039, 538, 1022, 2463, 547, 7096, 11337, 2670, 543, 635, 320, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 13832, 593, 519, 7245, 543, 6604, 540, 2392, 328, 3449, 476, 1428, 24336, 12128, 5980, 2817, 12079, 585, 12729, 12128, 5516, 2817, 31452, 585, 519, 6604, 543, 2359, 540, 3987, 538, 1292, 1416, 563, 10112, 2700, 568, 6035, 547, 948, 519, 3461, 1020, 16268, 12003, 1215, 568, 3987, 5701, 2409, 898, 568, 6059, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 602, 476, 2537, 2929, 4892, 1522, 581, 15847, 676, 519, 29757, 476, 10711, 271, 634, 8375, 9860, 540, 2597, 2042, 14626, 1938, 609, 519, 3395, 11841, 540, 3987, 4114, 476, 3393, 540, 891, 6444, 3489, 6099, 1416, 1759, 593, 3964, 31452, 4340, 547, 519, 15509, 267, 519, 22078, 295, 267, 543, 519, 5084, 288, 267, 827, 476, 2412, 540, 4892, 1063, 6502, 476, 2412, 543, 29235, 2185, 723, 2392, 328, 3449, 267, 11093, 873, 693, 11506, 13281, 1973, 4006, 2157, 943, 331, 13550, 3463, 585, 4990, 476, 273, 3987, 543, 9025, 2068, 563, 763, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 8978, 12075, 8947, 585, 3987, 676, 2052, 1775, 13209, 31202, 20945, 609, 513, 1973, 4006, 512, 6856, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 2921, 513, 16145, 693, 2436, 610, 711, 17605, 941, 6537, 547, 606, 1367, 521, 10729, 634, 11114, 267, 4457, 267, 543, 5545, 2453, 585, 3987, 616, 1759, 593, 519, 9838, 1361, 21106, 799, 17538, 4006, 10729, 2068, 769, 476, 10082, 277, 267, 15623, 667, 984, 5459, 9672, 602, 519, 17711, 6492, 540, 10729, 540, 31911, 729, 1317, 540, 4430, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 540, 513, 1826, 540, 4006, 1369, 519, 10729, 543, 1973, 540, 2043, 609, 3987, 30183, 6481, 12128, 5516, 2488, 909, 4586, 1692, 1677, 16473, 12128, 7392, 476, 273, 454, 1729, 4266, 543, 2953, 6114, 547, 2564, 2055, 689, 3782, 4648, 593, 938, 2472, 563, 302, 1537, 1884, 21355, 12185, 2156, 24329, 20039, 585, 811, 982, 476, 276, 5479, 9489, 538, 5001, 10685, 14407, 6455, 829, 29757, 538, 519, 2038, 8938, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 1101, 2540, 543, 941, 519, 16595, 3395, 3296, 540, 3987, 5061, 634, 6646, 1101, 11311, 585, 7392, 4083, 3987, 616, 538, 513, 1362, 540, 7135, 5219, 547, 607, 9829, 517, 2643, 675, 553, 543, 9784, 547, 331, 8117, 29524, 267, 547, 331, 1794, 29524, 267, 1035, 16587, 28411, 29524, 267, 543, 8392, 335, 1886, 29524, 1715, 518, 4915, 538, 519, 9838, 1362, 616, 1631, 3489, 762, 543, 9784, 9848, 10767, 728, 267, 1350, 830, 704, 728, 267, 543, 1350, 760, 714, 728, 1215, 891, 6646, 960, 3884, 512, 1134, 6956, 267, 20866, 267, 789, 2408, 547, 12954, 2281, 540, 519, 18558, 547, 3761, 3063, 7378, 563, 4913, 267, 585, 1034, 1004, 609, 3987, 267, 519, 1977, 12128, 5948, 15565, 606, 589, 272, 290, 540, 9944, 476, 278, 2060, 3908, 3681, 585, 9870, 1973, 2604, 267, 519, 1560, 5673, 593, 519, 1482, 10399, 602, 1205, 15181, 950, 1973, 7280, 568, 1970, 524, 622, 3273, 8533, 267, 610, 19076, 16433, 267, 10399, 547, 1860, 713, 1689, 595, 622, 3273, 26952, 9395, 523, 909, 938, 1973, 8043, 267, 1818, 621, 27162, 615, 585, 519, 4099, 547, 6802, 519, 1973, 676, 1259, 540, 938, 16209, 267, 799, 12651, 1973, 8833, 12580, 540, 1970, 1973, 4006, 18220, 4743, 4617, 267, 17570, 344, 610, 804, 20632, 267, 11821, 267, 17237, 543, 610, 8886, 762, 563, 4415, 4058, 543, 7041, 267, 596, 786, 10552, 17491, 667, 28979, 476, 2412, 338, 2991, 14856, 1205, 1586, 547, 3339, 1272, 543, 16056, 707, 3232, 3527, 634, 1883, 521, 547, 3406, 856, 3527, 596, 899, 543, 798, 873, 607, 3335, 607, 596, 26270, 1265, 513, 1259, 547, 3143, 2339, 875, 6474, 596, 949, 581, 267, 10169, 3635, 1169, 2582, 1554, 1522, 948, 596, 1747, 707, 1582, 538, 4971, 540, 707, 1272, 30587, 585, 2038, 4191, 540, 3987, 1644, 8459, 4576, 543, 13722, 10552, 17491, 3797, 3680, 10269, 946, 7296, 786, 2333, 519, 1981, 540, 3987, 543, 9025, 2068, 13667, 585, 827, 476, 1789, 3764, 540, 3328, 28491, 2534, 593, 1034, 2395, 540, 519, 3018, 267, 610, 513, 8766, 540, 476, 5611, 3764, 540, 9793, 20659, 3635, 513, 3018, 269, 0, 272, 269, 273, 19766, 7473, 2207, 6730, 5442, 19489, 7246, 3582, 13316, 267, 8950, 7070, 454, 1805, 1442, 9520, 1590, 581, 26256, 714, 656, 540, 1312, 519, 1699, 3902, 540, 741, 6006, 543, 519, 3902, 693, 799, 789, 1616, 547, 6133, 621, 538, 519, 2104, 269, 901, 1281, 711, 3247, 9520, 547, 6895, 2250, 3902, 3270, 543, 4019, 741, 1702, 547, 519, 1459, 269, 11313, 303, 770, 2773, 568, 711, 606, 13525, 540, 2104, 1967, 8730, 607, 519, 6031, 4422, 269, 1677, 2322, 621, 1776, 1259, 267, 3140, 6006, 1239, 4805, 3884, 1406, 2614, 547, 9472, 2104, 6006, 5777, 269, 6271, 1883, 3815, 547, 2015, 538, 513, 9467, 4640, 568, 519, 1764, 540, 2344, 6530, 269, 11038, 1239, 267, 799, 568, 513, 1826, 540, 19180, 1239, 267, 2488, 513, 5763, 540, 1344, 602, 814, 1044, 4922, 1031, 585, 1239, 2079, 4247, 269, 1717, 267, 17782, 6006, 5777, 3788, 513, 2442, 1353, 1888, 585, 9520, 543, 2883, 5640, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 333, 8548, 2532, 22561, 267, 3259, 8548, 2532, 22561, 2187, 1038, 5727, 7343, 569, 782, 22155, 1958, 18344, 6106, 547, 519, 3403, 1535, 780, 1038, 14803, 3701, 454, 1038, 28612, 8894, 2018, 1535, 281, 634, 3403, 2934, 540, 3337, 630, 301, 267, 700, 267, 661, 264, 1141, 715, 568, 519, 16801, 2450, 2676, 25639, 700, 568, 519, 5311, 3259, 630, 25247, 4765, 264, 543, 661, 568, 546, 31200, 5293, 538, 519, 454, 25639, 4020, 528, 540, 1142, 22155, 1958, 18344, 4494, 563, 2018, 1140, 333, 8548, 2532, 281, 1323, 6388, 540, 3728, 4671, 4920, 845, 619, 6230, 27965, 11065, 848, 300, 2532, 454, 4449, 11434, 602, 1958, 3941, 1141, 1142, 3693, 540, 1535, 666, 7390, 547, 563, 2018, 3259, 8548, 2532, 281, 1323, 6388, 540, 454, 4449, 1363, 3728, 4671, 4920, 845, 619, 6230, 27965, 11065, 848, 300, 2532, 602, 1958, 3941, 875, 454, 4449, 1363, 1082, 2609, 1142, 5311, 538, 519, 16801, 5161, 540, 563, 27030, 1038, 8173, 1038, 1948, 16453, 1125, 519, 13968, 454, 1038, 715, 815, 1535, 17482, 314, 271, 2639, 1038, 700, 815, 1535, 17482, 314, 272, 2639, 1038, 1140, 333, 8548, 2532, 815, 1140, 333, 8548, 2532, 610, 9509, 300, 2532, 27331, 267, 3926, 24210, 19709, 341, 823, 994, 1038, 3259, 8548, 2532, 815, 3259, 8548, 2532, 610, 26444, 2018, 20099, 300, 2532, 3287, 269, 2908, 318, 21459, 9230, 301, 267, 1070, 700, 267, 546, 6943, 284, 339, 25403, 269, 842, 5038, 11723, 1038, 1948, 15233, 782, 519, 2981, 619, 454, 1038, 585, 4494, 538, 1582, 7456, 16558, 912, 2018, 1535, 815, 4494, 3287, 267, 1140, 333, 8548, 2532, 284, 3430, 333, 8548, 2532, 267, 3259, 8548, 2532, 284, 26319, 8548, 2532, 2020, 1038, 1948, 15233, 519, 3339, 1436, 952, 2877, 454, 1038, 952, 1582, 8542, 768, 568, 711, 7183, 912, 2018, 1535, 815, 1582, 8542, 768, 3287, 2020, 1038, 2132, 1535, 454, 0, 258, 11822, 1412, 6420, 532, 22839, 262, 3014, 538, 9226, 274, 454, 258, 22731, 6651, 689, 4168, 16399, 589, 25605, 7711, 27717, 14623, 10955, 24728, 692, 5814, 14854, 454, 5814, 15259, 454, 5814, 4351, 692, 16557, 815, 476, 271, 454, 331, 1161, 815, 476, 274, 692, 1233, 815, 14854, 2529, 10547, 4590, 1233, 26644, 2891, 293, 16226, 4787, 625, 676, 21708, 5602, 1233, 12500, 326, 10233, 2891, 13582, 5602, 1233, 15630, 1575, 263, 12296, 284, 8517, 267, 4463, 284, 7785, 994, 1233, 6745, 571, 1356, 263, 271, 2020, 258, 5410, 519, 6345, 454, 16651, 815, 14854, 11053, 31103, 4590, 16651, 4732, 32497, 263, 271, 994, 16651, 4877, 523, 1575, 4590, 16651, 17482, 2891, 338, 13645, 5602, 16651, 269, 10233, 2891, 19009, 5602, 16651, 3052, 9369, 263, 271, 267, 910, 7742, 994, 16651, 6155, 3925, 815, 834, 17380, 5016, 258, 8073, 1592, 540, 1434, 318, 7666, 344, 454, 16591, 318, 7666, 903, 815, 29129, 258, 5410, 519, 1434, 318, 7666, 344, 454, 1721, 9041, 538, 2039, 263, 279, 2187, 825, 1434, 318, 7666, 344, 815, 14854, 11053, 31103, 4590, 825, 1434, 318, 7666, 344, 4732, 32497, 263, 271, 994, 825, 1434, 318, 7666, 344, 4732, 32497, 815, 4351, 27110, 263, 272, 267, 476, 275, 994, 825, 1434, 318, 7666, 344, 4877, 523, 1575, 4590, 825, 1434, 318, 7666, 344, 17482, 2891, 15132, 548, 5602, 825, 1434, 318, 7666, 344, 269, 10233, 2891, 19990, 5602, 825, 1434, 318, 7666, 344, 3052, 9369, 8987, 1911, 267, 476, 7742, 994, 825, 1434, 318, 7666, 903, 6910, 14116, 797, 318, 7666, 344, 9239, 258, 8073, 1592, 540, 3983, 318, 7666, 344, 454, 21112, 318, 7666, 903, 815, 29129, 258, 5410, 519, 3983, 318, 7666, 344, 454, 1721, 9041, 538, 2039, 263, 1015, 2187, 825, 3983, 318, 7666, 344, 815, 14854, 11053, 31103, 4590, 825, 3983, 318, 7666, 344, 4732, 32497, 263, 271, 994, 825, 3983, 318, 7666, 344, 4732, 32497, 815, 4351, 27110, 263, 272, 267, 476, 275, 994, 825, 3983, 318, 7666, 344, 4877, 523, 1575, 4590, 825, 3983, 318, 7666, 344, 17482, 2891, 15132, 548, 5602, 825, 3983, 318, 7666, 344, 269, 10233, 2891, 1042, 5602, 825, 3983, 318, 7666, 344, 3052, 9369, 263, 1911, 267, 476, 7742, 994, 825, 3983, 318, 7666, 903, 6910, 6357, 611, 318, 7666, 344, 2020, 258, 5269, 519, 6755, 454, 5155, 815, 14854, 11053, 31103, 4590, 5155, 19544, 573, 564, 31103, 4590, 5155, 4732, 32497, 263, 271, 994, 5155, 17482, 2891, 338, 13645, 5602, 5155, 269, 10233, 2891, 19009, 5602, 5155, 4877, 523, 1575, 4590, 5155, 3052, 9369, 263, 271, 267, 476, 18605, 994, 325, 2632, 815, 9497, 290, 537, 8175, 2580, 476, 2190, 267, 834, 7538, 5602, 5155, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 263, 16557, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 258, 12793, 454, 3698, 979, 318, 3847, 10031, 825, 6345, 6155, 3925, 815, 834, 3847, 5016, 454, 3698, 979, 318, 2431, 10031, 825, 6345, 6155, 3925, 815, 834, 2431, 5016, 454, 258, 6206, 4580, 645, 4193, 454, 1233, 269, 4289, 523, 4590, 1233, 269, 517, 651, 2988, 816, 263, 2998, 318, 3847, 267, 834, 29381, 5602, 1233, 269, 517, 651, 2988, 816, 263, 2998, 318, 2431, 267, 834, 14738, 257, 9239, 6112, 6936, 912, 825, 1948, 22352, 5496, 454, 825, 530, 333, 269, 26303, 10797, 825, 1948, 8844, 519, 6345, 454, 825, 952, 6345, 6155, 3925, 2652, 834, 3847, 13426, 1038, 1535, 815, 6345, 11859, 14585, 4590, 1038, 1535, 20699, 476, 274, 454, 1038, 6345, 15630, 343, 3287, 2020, 825, 952, 6345, 6155, 3925, 2652, 834, 2431, 13426, 1038, 1535, 815, 6345, 11859, 14585, 4590, 1038, 1535, 6834, 476, 274, 454, 1038, 6345, 15630, 343, 3287, 994, 8931, 825, 1948, 8844, 519, 1434, 16921, 454, 825, 585, 1434, 318, 7666, 344, 538, 1434, 318, 7666, 903, 912, 1038, 586, 815, 1434, 318, 7666, 344, 13885, 14585, 4590, 1038, 586, 20699, 1434, 318, 7666, 344, 4732, 32497, 454, 1038, 1434, 318, 7666, 344, 4732, 1214, 12169, 2020, 1038, 1948, 6744, 952, 1434, 318, 7666, 344, 1055, 5496, 454, 1038, 952, 586, 2999, 910, 4968, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 1434, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 2020, 1038, 1948, 6744, 585, 513, 16580, 609, 519, 6345, 454, 1038, 952, 1434, 318, 7666, 344, 6155, 2700, 263, 16651, 264, 2999, 476, 736, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 1434, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 994, 2018, 6060, 6834, 476, 1015, 454, 2018, 4050, 269, 27234, 4590, 2018, 4050, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 18692, 3546, 6060, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 825, 1948, 8844, 519, 3983, 16921, 454, 825, 585, 3983, 318, 7666, 344, 538, 3983, 318, 7666, 903, 912, 1038, 586, 815, 3983, 318, 7666, 344, 13885, 14585, 4590, 1038, 586, 20699, 3983, 318, 7666, 344, 4732, 32497, 454, 1038, 3983, 318, 7666, 344, 4732, 1214, 12169, 2020, 1038, 1948, 6744, 952, 3983, 318, 7666, 344, 1055, 5496, 454, 1038, 952, 586, 2999, 910, 4968, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 3983, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 2020, 1038, 1948, 6744, 585, 513, 16580, 609, 519, 6345, 454, 1038, 952, 3983, 318, 7666, 344, 6155, 2700, 263, 16651, 264, 2999, 476, 736, 912, 2018, 1535, 815, 4351, 27110, 8987, 23884, 267, 476, 23884, 994, 2018, 586, 815, 4351, 27110, 263, 4968, 267, 476, 6110, 994, 2018, 3983, 318, 7666, 344, 3052, 9369, 3287, 267, 586, 994, 2018, 6060, 20699, 476, 1015, 454, 2018, 2729, 20699, 476, 272, 454, 2018, 4050, 269, 27234, 4590, 2018, 4050, 22182, 2891, 30360, 281, 15079, 567, 22032, 281, 15079, 2668, 8971, 18692, 3546, 6060, 267, 2729, 1070, 5447, 6889, 22487, 2580, 13944, 284, 325, 2632, 2020, 672, 7531, 1233, 6230, 664, 31467, 4590, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 2415, 27785, 7531, 3698, 1612, 572, 318, 16911, 10031, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 10797, 825, 16163, 518, 14491, 318, 30348, 3488, 12803, 5073, 825, 16163, 518, 14491, 318, 30348, 3488, 268, 323, 3299, 3186, 8782, 23437, 574, 17210, 825, 2132, 16163, 518, 269, 27785, 318, 16911, 10797, 16911, 815, 1612, 572, 318, 16911, 10797, 5976, 1930, 263, 16911, 8807, 850, 264, 607, 535, 912, 825, 585, 1899, 538, 535, 18667, 6050, 10031, 1038, 1820, 263, 1467, 21858, 263, 16911, 6155, 601, 574, 4917, 672, 692, 2745, 263, 16911, 994, 0, 12528, 18425, 815, 1193, 9272, 2891, 3436, 834, 11723, 2745, 2891, 2005, 781, 513, 5493, 30308, 8442, 952, 3593, 18425, 2652, 3593, 18425, 11468, 18737, 272, 316, 3116, 1820, 2891, 293, 3089, 562, 1695, 5602, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 9045, 2904, 476, 476, 276, 476, 2641, 281, 866, 281, 3374, 476, 1001, 279, 692, 287, 10461, 281, 24430, 684, 454, 20701, 258, 4578, 2776, 30112, 22276, 692, 258, 7383, 532, 519, 8021, 454, 5814, 11885, 607, 5286, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 21795, 607, 19073, 692, 258, 7383, 532, 519, 10471, 454, 323, 21648, 564, 815, 19073, 18667, 32269, 3488, 2004, 318, 9359, 5725, 27406, 5073, 311, 815, 10471, 269, 559, 665, 18020, 32473, 272, 4940, 11161, 454, 344, 815, 10471, 269, 559, 665, 18020, 476, 275, 4940, 11161, 692, 258, 2419, 4474, 28547, 4632, 454, 5228, 28189, 269, 2181, 30112, 1104, 22443, 21886, 18344, 267, 2290, 31640, 21886, 18344, 454, 16932, 318, 21886, 18344, 815, 22443, 21886, 18344, 4590, 311, 18020, 476, 274, 316, 815, 6003, 318, 21886, 18344, 32265, 4671, 4920, 845, 11583, 18020, 476, 274, 7481, 821, 14653, 16780, 18344, 815, 2290, 31640, 21886, 18344, 6262, 1538, 5566, 6958, 324, 2137, 815, 1496, 274, 7481, 311, 815, 835, 14653, 16780, 18344, 32265, 4671, 4920, 845, 11583, 1040, 1729, 6783, 10797, 258, 28300, 546, 16244, 4756, 15972, 454, 311, 815, 2473, 18020, 476, 272, 281, 6540, 258, 590, 5902, 1154, 519, 10471, 883, 519, 9751, 1305, 543, 4530, 1305, 454, 5228, 28189, 6983, 1484, 26371, 9179, 1104, 5721, 15305, 5334, 5902, 454, 311, 17601, 267, 2473, 15305, 267, 586, 17601, 267, 586, 15305, 815, 5721, 15305, 5334, 5902, 11583, 267, 586, 267, 1449, 15481, 815, 476, 271, 269, 273, 267, 4351, 26077, 815, 476, 271, 2020, 258, 3171, 1155, 2480, 2718, 454, 18851, 5228, 28189, 269, 2181, 30112, 1104, 9208, 306, 5632, 518, 454, 2675, 318, 311, 815, 9208, 306, 5632, 518, 4590, 311, 17601, 815, 1085, 318, 311, 32265, 4671, 4920, 845, 11583, 17601, 994, 311, 15305, 815, 1085, 318, 311, 6745, 4920, 845, 11583, 15305, 994, 2675, 14729, 815, 9208, 306, 5632, 518, 4590, 344, 17601, 815, 1085, 14729, 32265, 4671, 4920, 845, 12169, 17601, 264, 20701, 258, 32086, 519, 2203, 454, 5228, 28189, 269, 15035, 31200, 1104, 12430, 8802, 1833, 454, 2958, 31395, 815, 12430, 8802, 1833, 4590, 2958, 31395, 32265, 11583, 17601, 267, 586, 17601, 2020, 258, 335, 1042, 2109, 540, 519, 2203, 454, 344, 28177, 815, 1036, 31395, 4877, 9438, 11583, 15305, 2020, 258, 6665, 783, 1944, 519, 12605, 454, 10823, 31892, 2660, 11583, 15305, 267, 586, 15305, 267, 2681, 6889, 1042, 5602, 10823, 19502, 11583, 17601, 267, 1036, 31395, 4877, 9438, 11583, 17601, 1070, 2681, 6889, 19990, 5602, 10823, 26644, 3488, 3682, 7257, 540, 476, 2004, 3399, 5725, 630, 32086, 1305, 264, 5073, 10823, 11859, 16932, 3488, 291, 8817, 4578, 5073, 10823, 269, 29786, 3488, 3682, 7257, 5073, 10823, 20481, 10797, 28744, 532, 4530, 1239, 543, 10567, 1239, 454, 4206, 815, 19073, 6185, 1092, 20988, 20719, 262, 8002, 783, 9166, 586, 15305, 267, 1412, 303, 9438, 539, 9166, 586, 28177, 348, 2020, 258, 300, 13011, 6268, 454, 5228, 28189, 1104, 14573, 22322, 2745, 3488, 13614, 18104, 18438, 281, 3299, 14573, 32557, 318, 11274, 5193, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 22322, 2745, 3488, 13614, 8293, 1563, 18438, 281, 3299, 14573, 32557, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 22322, 2745, 3488, 305, 2393, 6399, 8293, 1563, 18438, 281, 3299, 5286, 28460, 263, 5471, 7879, 32557, 5334, 32464, 318, 19587, 12169, 15305, 267, 586, 28177, 4297, 2020, 258, 12988, 1189 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 281, 30386, 16482, 258, 825, 585, 1003, 538, 2338, 912, 258, 1038, 1820, 16325, 994, 258, 13872, 258, 3240, 6958, 4233, 263, 273, 2020, 258, 1721, 8520, 454, 11133, 1499, 815, 11713, 1721, 1775, 538, 2039, 263, 271, 267, 476, 280, 2187, 825, 2338, 6910, 9217, 994, 825, 1820, 6600, 31415, 515, 1297, 568, 2715, 328, 348, 5073, 825, 1820, 3488, 763, 2338, 281, 22207, 2338, 994, 2745, 3799, 13246, 2020, 19638, 19638, 19638, 19638, 19638, 1363, 0, 258, 8193, 284, 583, 325, 268, 279, 454, 3698, 2656, 9272, 2187, 825, 952, 711, 3403, 610, 711, 568, 27349, 9272, 267, 1592, 264, 610, 7003, 9272, 264, 10922, 476, 271, 912, 1038, 2132, 3403, 454, 825, 4990, 9272, 267, 476, 271, 267, 7003, 9272, 264, 910, 476, 272, 994, 825, 2132, 3403, 692, 3698, 4990, 9272, 267, 1376, 267, 1439, 2187, 825, 952, 1376, 13843, 1439, 912, 1038, 2132, 454, 825, 22141, 815, 15652, 9272, 267, 1376, 267, 1439, 994, 825, 4990, 9272, 267, 1376, 267, 22141, 910, 476, 272, 994, 825, 4990, 9272, 267, 22141, 1341, 476, 272, 267, 1439, 2020, 3698, 15652, 9272, 267, 1376, 267, 1439, 2187, 825, 952, 1376, 13843, 1439, 912, 1038, 2132, 454, 825, 22141, 815, 3403, 314, 754, 2639, 825, 1775, 815, 1376, 910, 476, 272, 454, 825, 795, 815, 1376, 454, 825, 585, 795, 538, 2039, 263, 11034, 267, 1439, 2187, 1038, 952, 3403, 14728, 316, 2999, 22141, 912, 2018, 1775, 815, 1775, 1341, 476, 272, 454, 2018, 3403, 5157, 3910, 3403, 14728, 316, 815, 3403, 14728, 3910, 3403, 5157, 2639, 825, 1775, 815, 1775, 1341, 476, 272, 454, 825, 3403, 5157, 3910, 3403, 314, 754, 316, 815, 3403, 314, 754, 3910, 3403, 5157, 2639, 825, 2132, 1775, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 3403, 815, 1496, 277, 267, 476, 276, 267, 476, 278, 267, 476, 279, 267, 476, 272, 267, 476, 274, 267, 476, 273, 267, 476, 275, 267, 476, 271, 2639, 825, 1820, 630, 638, 1157, 9272, 4917, 672, 0, 18411, 1260, 1706, 2581, 1806, 454, 18411, 5814, 942, 692, 320, 815, 10581, 263, 3863, 17750, 2891, 326, 574, 1889, 513, 1297, 281, 834, 11723, 604, 513, 2652, 476, 1911, 912, 13537, 834, 320, 568, 476, 1911, 5016, 692, 604, 513, 2999, 476, 1911, 912, 13537, 834, 320, 568, 1447, 982, 476, 1911, 4840, 19197, 513, 3436, 476, 1911, 912, 13537, 834, 320, 568, 1454, 3677, 982, 476, 1911, 4840, 12828, 912, 13537, 834, 320, 568, 476, 1911, 5016, 454, 637, 815, 6151, 17750, 2891, 4777, 596, 1616, 547, 979, 286, 834, 2020, 604, 759, 31573, 3890, 2652, 834, 13433, 13426, 13537, 834, 921, 848, 1810, 1405, 979, 8627, 4840, 12828, 912, 13537, 834, 758, 1287, 5016, 454, 0, 18411, 339, 787, 910, 4849, 1806, 454, 18257, 7531, 6112, 6936, 912, 453, 339, 787, 912, 453, 453, 31138, 815, 703, 263, 3863, 17750, 2891, 10938, 513, 1297, 281, 27328, 453, 453, 19874, 3248, 453, 21955, 28759, 607, 20093, 912, 453, 13537, 834, 8923, 4283, 513, 1297, 8627, 8347, 1586, 4799, 453, 21955, 912, 453, 453, 1410, 527, 30800, 2745, 834, 628, 1678, 596, 15323, 692, 6112, 6936, 912, 453, 339, 787, 912, 453, 453, 31138, 815, 703, 263, 3863, 17750, 2891, 10938, 513, 1297, 281, 27328, 453, 453, 19874, 3248, 453, 21955, 912, 453, 13537, 834, 8923, 4283, 513, 1297, 8627, 8347, 1586, 3010, 454, 2745, 834, 628, 1678, 596, 15323, 454, 339, 787, 912, 13537, 476, 1911, 270, 271, 454, 21955, 912, 13537, 834, 15965, 676, 476, 271, 8627, 5016, 2745, 834, 13607, 6737, 10590, 0, 18411, 321, 25114, 1222, 851, 910, 1210, 1205, 577, 538, 606, 12808, 1247, 8520, 585, 3403, 910, 1289, 10587, 910, 26603, 1883, 547, 16718, 454, 18257, 692, 5228, 544, 12364, 322, 4135, 1104, 1205, 577, 267, 1205, 3832, 692, 529, 305, 7342, 815, 6936, 692, 3698, 1847, 318, 1575, 10031, 453, 258, 1820, 834, 1575, 5016, 3698, 1847, 5091, 1144, 10031, 453, 258, 1820, 834, 291, 1144, 5016, 3698, 1847, 318, 3847, 10031, 453, 258, 1820, 834, 29381, 5016, 3698, 1847, 318, 2431, 10031, 453, 258, 1820, 834, 2431, 5016, 3698, 2824, 10031, 453, 28744, 834, 1088, 5016, 3698, 9101, 10031, 825, 568, 305, 7342, 815, 8771, 454, 453, 28744, 834, 525, 3874, 5016, 3698, 9337, 17750, 912, 825, 1883, 815, 3921, 263, 1326, 577, 15405, 825, 952, 1883, 2652, 476, 2767, 281, 1948, 2464, 290, 454, 1038, 9101, 4590, 825, 8640, 1883, 2652, 476, 1724, 610, 1883, 2652, 476, 3953, 281, 1948, 11767, 454, 1038, 2824, 4590, 825, 8640, 1883, 2652, 476, 23470, 281, 1948, 22492, 10569, 630, 541, 4900, 267, 535, 10569, 267, 1202, 267, 1642, 267, 3092, 8094, 1038, 1883, 815, 3921, 263, 1326, 577, 15405, 1038, 952, 1883, 2652, 476, 3199, 281, 1948, 291, 1144, 15561, 454, 2018, 1847, 5091, 1144, 4590, 1038, 8640, 1883, 2652, 476, 7761, 281, 1948, 10000, 15561, 454, 2018, 1847, 318, 1575, 4590, 1038, 8640, 1883, 2652, 476, 4037, 281, 1948, 29381, 15561, 454, 1363, 453, 332, 913, 318, 3847, 4590, 1038, 8640, 1883, 2652, 476, 6507, 281, 1948, 14738, 15561, 454, 1363, 453, 332, 913, 318, 2431, 10797, 6112, 568, 305, 7342, 912, 825, 9337, 17750, 3890, 0, 258, 8080, 547, 519, 1770, 8528, 18411, 3963, 9226, 454, 453, 268, 14168, 547, 1451, 454, 453, 268, 32040, 846, 543, 2653, 547, 1224, 543, 1174, 585, 14987, 454, 453, 268, 14066, 2179, 540, 8021, 8831, 621, 781, 10342, 267, 782, 540, 799, 568, 1930, 2707, 899, 9226, 3294, 454, 453, 268, 21964, 3544, 713, 1079, 4374, 256, 1411, 666, 1628, 7270, 609, 9226, 10850, 899, 1166, 2532, 610, 546, 329, 24546, 267, 596, 666, 946, 621, 547, 2911, 547, 3457, 4448, 547, 707, 2780, 910, 899, 606, 818, 18003, 610, 4376, 3116, 267, 596, 666, 25117, 513, 2603, 540, 4247, 593, 707, 2780, 267, 596, 666, 2911, 547, 267, 25117, 543, 8831, 2645, 899, 476, 274, 291, 16655, 267, 15609, 543, 2349, 2658, 543, 3097, 453, 268, 2999, 12133, 811, 4128, 285, 692, 9359, 676, 23842, 543, 16459, 5124, 476, 273, 269, 278, 630, 10059, 2517, 4178, 4877, 3155, 3820, 270, 264, 543, 707, 19463, 1257, 9375, 910, 4427, 331, 830, 7956, 630, 10059, 2517, 4178, 16553, 3916, 564, 2169, 2593, 270, 994, 5408, 952, 9226, 729, 8704, 21453, 256, 286, 910, 12363, 30763, 323, 3097, 18257, 692, 258, 5124, 16522, 1314, 692, 258, 8080, 2336, 2745, 834, 1607, 568, 513, 1376, 5016, 258, 25159, 454, 3240, 318, 19702, 762, 815, 476, 5655, 692, 258, 4425, 1961, 753, 543, 1239, 2010, 2336, 3240, 318, 842, 815, 476, 5655, 454, 3240, 318, 15615, 815, 476, 275, 269, 273, 454, 3240, 10734, 944, 815, 6936, 692, 258, 25849, 532, 2418, 910, 2013, 6213, 2336, 3240, 318, 842, 815, 476, 5655, 454, 3240, 318, 842, 815, 476, 274, 454, 2745, 1250, 318, 842, 692, 258, 1733, 2572, 10628, 910, 30242, 723, 2495, 2336, 3698, 1011, 1712, 10031, 16596, 834, 19447, 6865, 5016, 258, 5124, 568, 606, 14648, 1893, 454, 18411, 1467, 676, 1899, 2336, 3832, 9535, 585, 6959, 454, 18257, 692, 258, 17266, 1899, 8292, 454, 258, 713, 568, 513, 2582, 1899, 6085, 692, 258, 11638, 1899, 8292, 454, 12163, 20123, 559, 710, 6085, 454, 529, 1934, 454, 20701, 454, 258, 4569, 4238, 1341, 910, 2608, 1315, 454, 258, 5890, 9426, 2747, 2878, 454, 258, 3525, 25222, 4939, 692, 258, 11644, 454, 18411, 8620, 513, 4756, 1572, 568, 305, 7342, 267, 1305, 621, 547, 6936, 563, 8620, 513, 4756, 1572, 2626, 267, 1305, 621, 547, 476, 5655, 454, 8620, 513, 4756, 1572, 16302, 267, 1305, 621, 547, 2626, 16302, 454, 18257, 692, 258, 1234, 5115, 454, 258, 4632, 267, 476, 274, 1239, 2010, 267, 26471, 2418, 267, 8292, 267, 2979, 522, 1186, 267, 20800, 2747, 267, 1110, 25222, 7531, 258, 5899, 902, 454, 3240, 6958, 4067, 815, 834, 312, 611, 340, 4840, 3240, 9078, 4067, 815, 834, 305, 1690, 643, 5016, 258, 18521, 12686, 3197, 454, 3240, 318, 24978, 815, 834, 312, 611, 340, 1767, 281, 1422, 257, 296, 666, 1405, 4734, 1631, 256, 315, 3269, 692, 18411, 258, 7457, 676, 12039, 454, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 347, 623, 1923, 744, 1923, 570, 1923, 589, 1923, 570, 1923, 744, 11406, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 266, 19203, 32504, 476, 476, 271, 567, 476, 272, 567, 476, 273, 567, 476, 274, 567, 476, 275, 567, 476, 276, 454, 18411, 335, 815, 834, 303, 5588, 2969, 302, 4840, 258, 513, 576, 322, 1087, 12673, 3842, 741, 4994, 454, 2745, 533, 314, 271, 316, 1948, 16493, 623, 454, 2745, 533, 314, 274, 316, 1948, 16493, 589, 454, 2745, 533, 314, 275, 316, 1948, 16493, 570, 692, 258, 21642, 2409, 910, 12297, 10035, 910, 2539, 19572, 5580, 4590, 258, 18421, 538, 9226, 568, 606, 1843, 630, 4754, 723, 910, 2409, 267, 10305, 267, 1016, 5035, 762, 994, 2745, 533, 31573, 3890, 1948, 16493, 15837, 454, 2745, 533, 269, 21639, 3890, 1948, 16493, 623, 5588, 2969, 302, 692, 258, 7003, 3890, 910, 3259, 540, 513, 5569, 454, 2745, 7003, 30044, 6958, 4067, 2020, 258, 1193, 3890, 910, 17838, 1875, 268, 1598, 902, 547, 12673, 454, 7032, 815, 476, 274, 269, 1691, 454, 2745, 1193, 263, 7032, 2020, 258, 24614, 12673, 910, 24614, 4632, 609, 12673, 454, 7032, 815, 834, 22764, 1448, 835, 2185, 4840, 2745, 14039, 692, 258, 21642, 6677, 22760, 566, 454, 3240, 6958, 4067, 815, 834, 312, 611, 340, 4840, 3240, 9078, 4067, 815, 834, 305, 1690, 643, 4840, 3240, 12173, 815, 1250, 6958, 4067, 1341, 834, 834, 1341, 1250, 9078, 4067, 692, 258, 1401, 14032, 5569, 7503, 454, 258, 1820, 834, 31435, 257, 1341, 476, 1015, 1948, 786, 12235, 606, 5470, 454, 2745, 834, 31435, 834, 1341, 1193, 263, 1015, 2020, 258, 14474, 1154, 12673, 609, 4939, 454, 3240, 6958, 4067, 815, 6151, 17750, 2891, 7312, 1101, 2012, 281, 19515, 3240, 9078, 4067, 815, 6151, 17750, 2891, 7312, 2063, 2012, 281, 19515, 2745, 834, 15916, 267, 4939, 338, 4939, 338, 256, 8080, 547, 519, 3487, 12317, 10590, 4939, 630, 3240, 6958, 4067, 267, 1250, 9078, 4067, 2020, 258, 20780, 532, 621, 1927, 454, 18411, 7476, 519, 8768, 4408, 543, 4778, 689, 519, 3593, 267, 1711, 6648, 454, 1693, 616, 12223, 454, 1693, 616, 12223, 454, 1103, 8168, 6576, 454, 22437, 2114, 2328, 596, 454, 18411, 17810, 318, 272, 815, 6151, 17750, 2891, 11243, 513, 8768, 281, 19515, 10233, 318, 272, 815, 6151, 17750, 2891, 1432, 2681, 568, 513, 4939, 338, 281, 834, 4939, 630, 17810, 318, 272, 4917, 17810, 318, 273, 815, 6151, 17750, 2891, 11243, 1776, 8768, 281, 19515, 10233, 318, 273, 815, 6151, 17750, 2891, 1432, 2681, 568, 513, 4939, 338, 281, 834, 4939, 630, 17810, 318, 273, 11723, 3863, 17750, 2891, 6701, 596, 4712, 585, 1250, 1390, 6648, 8119, 2020, 2745, 834, 260, 338, 616, 4939, 338, 14826, 260, 338, 616, 4939, 338, 14826, 1103, 8168, 6576, 14826, 22437, 2114, 2328, 596, 257, 4939, 630, 17810, 318, 272, 267, 2681, 318, 272, 267, 8768, 318, 273, 267, 2681, 318, 273, 2020, 692, 258, 13096, 8135, 5399, 910, 1018, 616, 8021, 267, 1946, 5391, 338, 454, 5228, 30220, 1104, 30220, 692, 258, 7351, 11261, 543, 5384, 454, 323, 520, 8135, 269, 852, 10797, 258, 6987, 847, 811, 9623, 689, 30220, 269, 852, 3890, 1843, 454, 852, 815, 30220, 269, 852, 4590, 258, 1631, 13885, 792, 454, 258, 1631, 269, 24629, 454, 258, 1631, 269, 1485, 454, 2745, 1412, 260, 338, 270, 260, 338, 270, 260, 338, 262, 4939, 630, 852, 269, 24629, 267, 1631, 269, 1485, 267, 1631, 13885, 792, 2020, 258, 20780, 621, 782, 1927, 454, 258, 5228, 30220, 1104, 30220, 454, 852, 815, 30220, 269, 852, 4590, 2745, 1412, 260, 338, 270, 260, 338, 270, 260, 338, 4939, 338, 281, 260, 338, 281, 260, 338, 262, 4939, 630, 852, 269, 24629, 267, 1631, 269, 1485, 267, 1631, 13885, 792, 267, 1631, 19544, 712, 267, 1631, 269, 2381, 1393, 267, 1631, 269, 16149, 9239, 258, 10313, 2209, 910, 476, 277, 540, 873, 910, 782, 2132, 6936, 610, 8771, 454, 18411, 2525, 454, 256, 23751, 283, 454, 283, 23751, 11417, 285, 23751, 18411, 258, 29491, 7358, 2209, 454, 18411, 663, 454, 528, 454, 2254, 454, 18411, 3240, 24449, 815, 476, 5655, 454, 3240, 19963, 815, 476, 7918, 454, 258, 1820, 1250, 19963, 2999, 476, 1911, 543, 1250, 24449 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 10681, 267, 693, 519, 22193, 4011, 334, 7732, 269, 634, 2146, 568, 14376, 547, 6443, 519, 21191, 2752, 290, 538, 26621, 1234, 3164, 526, 654, 754, 749, 670, 732, 6229, 543, 519, 14172, 23602, 269, 6004, 269, 670, 732, 6229, 568, 513, 1272, 17489, 17055, 540, 4400, 1633, 6019, 269, 1261, 21783, 689, 22193, 4011, 334, 4400, 3427, 267, 6039, 607, 5403, 24490, 540, 519, 22193, 4011, 334, 5403, 8433, 689, 476, 3192, 280, 268, 1960, 280, 267, 543, 849, 6039, 593, 519, 11233, 8274, 543, 4400, 1633, 6019, 24184, 543, 18947, 18299, 523, 779, 8274, 269, 1261, 568, 849, 513, 19622, 1095, 4575, 26744, 540, 7537, 292, 5783, 269, 634, 4563, 3778, 13600, 1982, 786, 8661, 1010, 2146, 1425, 545, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32733, 1299, 18270, 725, 1315, 918, 9774, 5633, 320, 1315, 7991, 6796, 267, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 769, 519, 2295, 540, 10120, 700, 1481, 539, 665, 267, 9624, 2357, 323, 656, 11903, 29288, 543, 3504, 6149, 6821, 267, 31314, 606, 11700, 1511, 1141, 519, 18999, 826, 546, 262, 302, 322, 25577, 910, 519, 11469, 540, 519, 5538, 21112, 2293, 945, 31025, 741, 20339, 883, 6228, 998, 19621, 14235, 269, 3371, 267, 2871, 559, 1335, 267, 513, 1762, 1085, 11171, 267, 1558, 4432, 1047, 267, 513, 13730, 649, 11232, 540, 1913, 4171, 11430, 3740, 23258, 13489, 1042, 1010, 1360, 4295, 269, 4256, 2648, 19806, 15701, 896, 519, 4585, 995, 22401, 540, 519, 12877, 16867, 525, 267, 8272, 337, 1681, 519, 31341, 6681, 2078, 1063, 519, 1004, 543, 741, 17710, 780, 3080, 12556, 995, 10543, 267, 789, 10356, 1472, 31300, 1359, 23156, 2775, 267, 7234, 519, 5767, 3377, 689, 15231, 14252, 269, 1733, 7371, 619, 14612, 2484, 9789, 10513, 8433, 1185, 2366, 922, 900, 1170, 2456, 2899, 811, 267, 934, 6748, 17137, 540, 1934, 3749, 4978, 269, 1306, 2871, 559, 1335, 4050, 2740, 533, 1105, 618, 20801, 338, 24223, 2244, 23339, 543, 4123, 11650, 267, 646, 7948, 1405, 948, 855, 23986, 541, 741, 6643, 780, 14976, 1047, 521, 19042, 7184, 267, 11263, 16439, 3270, 593, 5704, 2299, 18955, 5958, 24224, 609, 6698, 14436, 540, 741, 3838, 2528, 269, 4173, 5639, 5951, 1042, 607, 1352, 4280, 267, 834, 10817, 559, 1335, 267, 798, 596, 2479, 2243, 1946, 938, 1004, 804, 532, 865, 18979, 569, 547, 713, 1893, 5103, 519, 8594, 12482, 3891, 17328, 4310, 267, 6236, 1312, 519, 2597, 540, 1200, 13214, 543, 519, 6286, 11251, 1369, 269, 2060, 9663, 992, 539, 536, 992, 267, 646, 15527, 24617, 267, 834, 22818, 621, 568, 1317, 12769, 11939, 24151, 1945, 3152, 982, 6071, 1913, 1193, 2426, 1927, 282, 621, 4564, 1219, 4800, 1996, 1346, 5275, 547, 16401, 721, 3010, 15463, 4064, 8141, 1194, 609, 5667, 1117, 17229, 267, 2943, 1200, 8207, 2760, 535, 5306, 1229, 269, 2701, 9597, 332, 3293, 28663, 267, 834, 5978, 11937, 10692, 1130, 5050, 569, 1282, 519, 1325, 15927, 839, 1014, 12724, 3547, 267, 21108, 741, 5132, 1996, 1018, 789, 16363, 18348, 14985, 3010, 288, 4090, 776, 16563, 8593, 1063, 873, 1354, 2871, 559, 1335, 4797, 267, 834, 8133, 267, 789, 5706, 539, 1654, 515, 618, 569, 267, 1256, 21349, 2669, 269, 8616, 267, 594, 4898, 952, 972, 6818, 1776, 2601, 3297, 519, 18094, 540, 938, 1893, 1862, 12344, 267, 621, 679, 706, 637, 1813, 547, 922, 7915, 5898, 267, 2840, 2251, 8941, 602, 7544, 30780, 2390, 519, 10772, 543, 16079, 2066, 5553, 3010, 2026, 519, 3781, 20595, 593, 267, 741, 9739, 5283, 4765, 32069, 267, 18343, 2984, 954, 342, 8576, 609, 16060, 540, 5168, 543, 10828, 267, 32161, 1944, 8090, 6382, 4503, 547, 942, 269, 27933, 560, 971, 24360, 2053, 267, 741, 7029, 547, 8497, 741, 2189, 10409, 9371, 10489, 2105, 4250, 267, 4742, 606, 957, 540, 29752, 20174, 1107, 513, 15266, 547, 519, 967, 558, 3386, 6891, 540, 12769, 11939, 807, 3294, 269, 0, 2237, 513, 8903, 1650, 1644, 547, 519, 1739, 1257, 6256, 912, 18658, 616, 930, 540, 519, 3909, 543, 2686, 5389, 2404, 609, 12769, 11939, 543, 875, 723, 891, 6766, 1893, 946, 543, 11091, 888, 30999, 11939, 267, 849, 1634, 607, 18999, 826, 546, 262, 302, 322, 267, 568, 513, 23620, 1893, 9275, 538, 8828, 5333, 267, 2694, 540, 7977, 267, 543, 8050, 269, 898, 814, 513, 3638, 2686, 543, 3909, 6561, 6580, 1394, 547, 519, 5664, 12698, 267, 799, 814, 5129, 513, 1713, 1909, 538, 1893, 946, 543, 11091, 269, 2368, 540, 519, 3909, 543, 2686, 5389, 2404, 609, 12769, 11939, 1331, 1384, 272, 269, 6869, 541, 1143, 281, 6869, 541, 1143, 729, 513, 717, 333, 8251, 4168, 3392, 602, 7153, 538, 8828, 5333, 538, 519, 476, 1321, 628, 2540, 269, 6869, 1513, 5156, 538, 12242, 1143, 543, 15653, 519, 7826, 5783, 781, 15796, 543, 5485, 571, 906, 269, 634, 3262, 540, 6869, 541, 1143, 543, 519, 7766, 1325, 15927, 839, 1014, 12724, 1228, 1996, 873, 5129, 513, 1713, 1909, 538, 519, 11091, 543, 946, 540, 12769, 11939, 269, 634, 1893, 2968, 513, 3090, 540, 4187, 1996, 519, 9228, 3909, 543, 2797, 15746, 540, 519, 7187, 3943, 10529, 780, 273, 269, 24410, 21112, 2293, 281, 634, 24410, 21112, 2293, 941, 15023, 945, 1071, 10640, 763, 1650, 3085, 1406, 991, 547, 2446, 3388, 538, 519, 6256, 267, 946, 621, 1175, 585, 6667, 543, 581, 3860, 2336, 763, 1650, 1058, 6451, 519, 1739, 2609, 912, 268, 15511, 281, 519, 1650, 1590, 4183, 693, 2547, 835, 6209, 5188, 602, 8761, 1915, 3178, 267, 8441, 519, 4729, 267, 610, 28807, 513, 2629, 4062, 540, 519, 9814, 3097, 268, 21624, 4798, 281, 2263, 4798, 22298, 609, 513, 9921, 5304, 267, 971, 607, 5837, 13509, 267, 16650, 14511, 267, 2123, 7004, 267, 610, 519, 4539, 540, 2250, 3527, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 834, 763, 3141, 8288, 1970, 538, 519, 6607, 257, 610, 834, 1103, 519, 27452, 1396, 2580, 581, 3860, 269, 0, 7705, 281, 19850, 7585, 256, 594, 4312, 1044, 1565, 827, 1945, 2731, 4277, 1572, 3955, 26051, 11671, 321, 5735, 24493, 11526, 10657, 269, 898, 12909, 827, 875, 938, 12058, 543, 3347, 616, 4448, 269, 21763, 547, 5873, 811, 827, 621, 2496, 7692, 281, 17610, 267, 7705, 256, 2334, 4992, 3579, 269, 1924, 267, 1018, 1281, 621, 1611, 950, 596, 2161, 938, 12058, 543, 3347, 616, 4448, 2496, 8334, 281, 4270, 267, 4952, 713, 269, 1879, 649, 6108, 942, 609, 1004, 649, 2648, 267, 899, 938, 1920, 610, 2828, 267, 938, 12058, 5305, 6464, 602, 1118, 721, 1745, 1434, 269, 1809, 952, 649, 8044, 609, 2576, 610, 1745, 24949, 267, 938, 2634, 13847, 824, 6464, 602, 666, 1118, 721, 8909, 610, 14221, 780, 7692, 281, 7937, 267, 594, 1205, 621, 256, 6145, 950, 594, 1404, 609, 1250, 2915, 267, 24898, 267, 594, 2141, 1745, 6126, 26063, 563, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4692, 1411, 5620, 645, 11520, 1656, 645, 13633, 286, 6904, 1772, 1937, 572, 267, 645, 13633, 2107, 645, 11520, 454, 26045, 1072, 2152, 723, 1279, 1044, 519, 1641, 540, 1382, 543, 1719, 1369, 21911, 269, 2986, 519, 21318, 540, 4713, 602, 1860, 1004, 267, 27079, 1467, 22226, 13081, 630, 289, 11520, 264, 543, 645, 13633, 13081, 1796, 856, 1317, 540, 741, 7294, 10835, 26331, 543, 741, 7096, 3310, 593, 875, 1004, 2661, 741, 2729, 563, 4322, 4713, 723, 13631, 519, 3007, 540, 2564, 4648, 267, 3173, 267, 543, 519, 2489, 1857, 267, 20872, 5717, 543, 2055, 827, 741, 3123, 267, 2470, 267, 543, 2126, 2994, 563, 7212, 1142, 4524, 814, 3982, 10368, 7355, 543, 10058, 2934, 267, 811, 1382, 814, 7000, 519, 11495, 10486, 1063, 645, 11520, 543, 645, 13633, 13081, 269, 901, 19427, 814, 19430, 2055, 3823, 519, 1071, 31507, 5270, 540, 891, 1079, 2175, 543, 519, 9465, 547, 4466, 519, 2953, 5868, 543, 5078, 2126, 563, 763, 2376, 649, 1459, 1934, 786, 1491, 538, 513, 2620, 3408, 540, 519, 16799, 540, 645, 11520, 607, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11328, 26051, 11671, 321, 5735, 24493, 11526, 10657, 257, 607, 851, 540, 834, 25787, 1315, 31499, 1315, 10657, 18868, 2580, 6098, 693, 1453, 547, 4001, 873, 1455, 2631, 269, 634, 5188, 1058, 4125, 1079, 3197, 267, 7705, 543, 7585, 267, 7234, 4948, 3871, 543, 1818, 3664, 1759, 593, 1455, 2631, 269, 2422, 2241, 2474, 543, 513, 2067, 267, 2502, 3159, 269, 24372, 2521, 547, 281, 8528, 268, 19308, 2055, 543, 4267, 602, 12172, 519, 1888, 543, 1683, 4052, 1806, 543, 3137, 540, 1946, 1919, 4755, 267, 2014, 7146, 13716, 3347, 267, 543, 875, 1004, 3335, 2170, 538, 891, 3871, 269, 3097, 268, 20864, 7653, 602, 2154, 1620, 15749, 8100, 543, 13865, 10881, 547, 8207, 13509, 269, 3097, 2710, 711, 2446, 519, 1357, 1349, 543, 11716, 3877, 13061, 547, 519, 1888, 269, 0, 769, 7810, 1686, 267, 24816, 543, 23372, 941, 2565, 3334, 540, 4205, 1063, 3864, 13896, 543, 6805, 6082, 267, 11031, 267, 13164, 267, 543, 2950, 269, 1452, 3347, 941, 1419, 1950, 543, 15491, 267, 8032, 676, 2188, 971, 607, 11585, 267, 2528, 267, 9297, 267, 543, 6214, 269, 901, 1576, 1770, 786, 5490, 883, 519, 14960, 540, 891, 24816, 543, 20320, 1894, 267, 1210, 519, 1383, 540, 519, 2078, 1063, 3864, 3935, 9088, 543, 519, 6805, 9082, 789, 11402, 780, 2414, 2253, 267, 621, 568, 1271, 547, 1174, 519, 1523, 540, 24816, 269, 2311, 922, 1034, 2596, 1377, 267, 606, 19710, 568, 513, 6101, 6876, 1063, 1079, 610, 811, 6105, 547, 28111, 585, 8994, 4324, 269, 27469, 949, 1683, 1489, 543, 6351, 547, 835, 1776, 538, 2053, 540, 4655, 610, 6433, 267, 2671, 2200, 543, 1344, 267, 543, 12840, 593, 4745, 3785, 610, 7341, 269, 1717, 267, 24816, 616, 10355, 3160, 12352, 267, 543, 1379, 6384, 666, 6521, 936, 942, 607, 6381, 1689, 780, 1103, 519, 2796, 540, 7810, 1686, 267, 24816, 1063, 17417, 543, 6805, 9082, 941, 1419, 13351, 856, 540, 13766, 269, 1280, 3864, 13896, 267, 9591, 24816, 609, 2199, 11031, 729, 1898, 585, 17516, 1569, 547, 2244, 267, 2200, 267, 543, 4123, 11507, 269, 7087, 9082, 267, 593, 519, 824, 1688, 267, 4718, 24816, 609, 17417, 607, 513, 1797, 540, 11543, 1569, 547, 1007, 4066, 267, 9604, 267, 543, 16167, 538, 741, 1378, 7526, 609, 15180, 11031, 780, 13312, 680, 558, 2329, 267, 29285, 267, 4016, 547, 519, 1148, 540, 10647, 16395, 543, 5883, 3347, 1063, 1114, 2516, 610, 6082, 269, 769, 7810, 5468, 267, 23372, 1419, 3238, 513, 10347, 3666, 540, 1379, 1063, 3864, 13896, 543, 6805, 3401, 269, 5637, 5011, 8179, 547, 4434, 741, 1378, 4690, 1247, 9319, 1930, 4655, 8164, 2009, 269, 24547, 11703, 16395, 1522, 4125, 15377, 540, 13344, 267, 14097, 1129, 902, 267, 610, 11401, 1063, 3401, 547, 1865, 2152, 540, 1455, 6161, 780, 4913, 267, 23372, 729, 711, 2141, 3811, 538, 7303, 5208, 610, 20547, 13882, 269, 4762, 26555, 1223, 8451, 1813, 547, 21390, 267, 2686, 3604, 267, 610, 12721, 6811, 547, 8513, 269, 1879, 13253, 23017, 936, 267, 24816, 1223, 3533, 2490, 883, 15280, 7526, 267, 609, 1312, 5011, 7092, 5230, 9271, 780, 3080, 8037, 1383, 540, 713, 6422, 666, 581, 2938, 538, 519, 1686, 540, 519, 594, 549, 638, 12251, 28583, 2329, 267, 513, 3532, 21597, 540, 2947, 7111, 1977, 6082, 4092, 538, 1018, 568, 1631, 909, 8063, 1715, 3840, 269, 634, 594, 549, 638, 12251, 7620, 3964, 12560, 1894, 609, 10656, 543, 2296, 18318, 267, 945, 13859, 873, 609, 15963, 543, 824, 5370, 538, 5385, 585, 535, 2720, 269, 1717, 267, 607, 3864, 11175, 9450, 31023, 267, 6735, 585, 2244, 543, 2200, 14556, 1881, 267, 3056, 547, 2810, 8082, 543, 5208, 780, 8601, 891, 2591, 267, 519, 594, 549, 638, 12251, 4797, 547, 4497, 538, 23372, 609, 3864, 7060, 2429, 519, 7810, 1974, 269, 1358, 9896, 21308, 609, 519, 3703, 267, 3943, 267, 543, 4892, 267, 5275, 547, 2149, 741, 16285, 543, 16857, 8699, 269, 1717, 267, 891, 3646, 941, 6038, 13777, 850, 267, 607, 3864, 7060, 4797, 547, 1958, 25209, 2390, 594, 549 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 547, 2446, 602, 952, 596, 10839, 513, 2022, 267, 596, 666, 2070, 519, 3735, 343, 12981, 780, 5147, 476, 2420, 526, 267, 476, 1001, 278, 267, 476, 1015, 281, 6795, 6751, 1948, 276, 16588, 5231, 11835, 1441, 281, 7325, 476, 1001, 278, 3245, 281, 21570, 24762, 281, 476, 7906, 8729, 281, 476, 271, 594, 12995, 513, 2370, 3787, 519, 11460, 282, 594, 4126, 594, 1500, 519, 1257, 693, 2547, 513, 2370, 3787, 4443, 585, 2542, 269, 3371, 621, 568, 281, 476, 272, 269, 22263, 779, 2981, 281, 674, 314, 325, 6025, 13580, 815, 3980, 360, 263, 271, 270, 31236, 264, 325, 6025, 264, 324, 317, 329, 395, 484, 6025, 264, 19049, 815, 3980, 360, 263, 271, 270, 31236, 264, 325, 6025, 264, 324, 28260, 329, 22886, 11575, 339, 815, 674, 263, 22886, 264, 28911, 1107, 16070, 6991, 282, 512, 1107, 942, 282, 519, 14263, 9497, 268, 8442, 568, 1031, 1317, 540, 519, 1249, 602, 519, 968, 10177, 951, 539, 892, 5086, 26420, 6025, 264, 568, 6027, 4724, 630, 514, 6935, 547, 264, 519, 1699, 2990, 269, 12763, 540, 519, 4908, 281, 674, 4433, 842, 264, 815, 674, 263, 22886, 264, 815, 1496, 271, 282, 28911, 2999, 476, 272, 22049, 1496, 272, 282, 28911, 815, 476, 272, 22049, 1496, 271, 282, 28911, 285, 476, 272, 22049, 28911, 3436, 476, 271, 476, 273, 269, 769, 2091, 22263, 779, 2981, 281, 535, 6025, 6661, 4501, 360, 8987, 31236, 270, 31236, 264, 293, 6600, 264, 324, 317, 329, 395, 484, 6600, 264, 4206, 284, 3980, 360, 8987, 31236, 270, 31236, 264, 293, 6600, 264, 324, 317, 329, 339, 273, 11027, 325, 4206, 284, 3980, 360, 8987, 31236, 270, 31236, 264, 293, 263, 22886, 270, 273, 11027, 264, 324, 317, 329, 339, 273, 11027, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 6661, 630, 272, 270, 273, 11027, 264, 4501, 360, 8987, 31236, 270, 31236, 264, 293, 263, 22886, 264, 324, 317, 329, 339, 22886, 323, 22886, 815, 674, 24877, 272, 22042, 293, 263, 22886, 13580, 512, 910, 942, 282, 535, 815, 476, 272, 20081, 815, 28911, 270, 273, 11027, 910, 4908, 282, 570, 1107, 1974, 282, 519, 5086, 568, 968, 18878, 892, 543, 1317, 540, 602, 621, 568, 2048, 684, 4621, 30872, 892, 476, 274, 269, 22263, 779, 2981, 4294, 547, 18980, 18042, 12512, 630, 19491, 668, 24599, 1143, 2567, 535, 6025, 264, 815, 589, 916, 514, 263, 22886, 582, 1341, 6543, 486, 264, 9847, 674, 263, 22886, 264, 815, 3980, 360, 263, 271, 270, 31236, 264, 288, 916, 514, 263, 22886, 582, 1341, 6543, 486, 264, 324, 28260, 329, 22886, 11575, 339, 815, 2549, 4501, 360, 263, 271, 270, 31236, 264, 346, 314, 324, 317, 329, 263, 22886, 582, 266, 395, 486, 264, 910, 552, 28260, 329, 263, 22886, 334, 266, 395, 486, 13580, 270, 273, 329, 348, 324, 28260, 329, 22886, 11575, 339, 815, 630, 8649, 270, 273, 329, 25011, 324, 317, 329, 395, 486, 4501, 360, 263, 271, 270, 31236, 264, 324, 28260, 329, 263, 22886, 268, 22886, 334, 264, 11575, 339, 910, 552, 28260, 329, 395, 486, 4501, 360, 263, 271, 270, 31236, 264, 324, 28260, 329, 263, 22886, 266, 22886, 334, 264, 11575, 339, 316, 815, 630, 8649, 270, 273, 329, 264, 346, 324, 317, 329, 395, 486, 15631, 272, 10768, 263, 22886, 268, 22886, 334, 13580, 324, 28260, 329, 263, 22886, 268, 22886, 334, 264, 339, 263, 31236, 270, 271, 264, 910, 552, 28260, 329, 395, 486, 15631, 272, 10768, 263, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 263, 22886, 266, 22886, 334, 264, 339, 263, 31236, 270, 271, 14587, 815, 630, 8649, 270, 273, 329, 264, 346, 324, 317, 329, 395, 486, 314, 272, 10768, 263, 22886, 268, 22886, 334, 13580, 910, 552, 28260, 329, 395, 486, 314, 272, 10768, 263, 22886, 266, 22886, 334, 13580, 348, 815, 11196, 8649, 270, 273, 264, 346, 314, 272, 14370, 22886, 268, 22886, 334, 13580, 324, 317, 329, 395, 486, 910, 1496, 272, 14370, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 395, 486, 348, 815, 630, 8649, 270, 273, 264, 346, 314, 272, 14370, 22886, 266, 22886, 334, 13580, 324, 28260, 329, 395, 486, 910, 1496, 272, 14370, 22886, 268, 22886, 334, 13580, 324, 317, 329, 395, 486, 348, 815, 1496, 8649, 270, 273, 263, 22886, 317, 273, 910, 28911, 334, 317, 273, 264, 6012, 263, 22886, 268, 22886, 334, 264, 324, 28260, 329, 395, 486, 910, 630, 22886, 266, 22886, 334, 264, 324, 317, 329, 395, 486, 316, 815, 2549, 314, 22886, 334, 14370, 22886, 317, 273, 910, 28911, 334, 317, 273, 264, 6012, 263, 22886, 268, 22886, 334, 264, 324, 28260, 329, 395, 486, 910, 630, 22886, 266, 22886, 334, 264, 324, 317, 329, 395, 486, 316, 270, 273, 22886, 334, 815, 2549, 314, 22886, 334, 14370, 22886, 334, 317, 273, 910, 28911, 317, 273, 264, 6012, 263, 22886, 334, 266, 22886, 264, 324, 317, 329, 395, 486, 1341, 630, 22886, 334, 268, 22886, 264, 324, 28260, 329, 395, 486, 316, 270, 273, 22886, 334, 815, 674, 10490, 916, 514, 22886, 582, 25011, 263, 22886, 334, 266, 22886, 264, 324, 317, 329, 395, 486, 1341, 630, 22886, 334, 268, 22886, 264, 324, 28260, 329, 395, 486, 316, 270, 273, 22886, 334, 282, 28911, 815, 28911, 334, 9847, 674, 263, 22886, 264, 815, 589, 1889, 317, 329, 395, 486, 815, 20734, 273, 288, 324, 317, 329, 395, 486, 9847, 32363, 317, 329, 395, 486, 815, 3600, 657, 395, 486, 1341, 795, 2026, 514, 395, 486, 282, 630, 8649, 910, 17931, 282, 589, 1107, 968, 324, 8997, 892, 1871, 282, 6543, 486, 1107, 968, 30976, 892, 3942, 264, 476, 275, 269, 769, 2091, 22263, 779, 2981, 4294, 547, 18980, 18042, 12512, 630, 19491, 668, 24599, 1143, 2567, 535, 6025, 264, 815, 630, 272, 270, 273, 11027, 264, 4501, 360, 8987, 31236, 270, 31236, 264, 288, 1889, 317, 329, 395, 486, 324, 317, 329, 339, 22886, 323, 22886, 815, 630, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 263, 22886, 339, 266, 395, 486, 264, 323, 22886, 1341, 795, 263, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 263, 22886, 339, 266, 395, 486, 264, 323, 22886, 815, 630, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 263, 22886, 264, 323, 22886, 1341, 795, 263, 272, 270, 273, 11027, 264, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 263, 22886, 264, 323, 22886, 815, 2549, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 264, 1341, 795, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 263, 22886, 270, 273, 11027, 264, 323, 263, 22886, 270, 273, 11027, 264, 815, 2549, 4501, 360, 8987, 31236, 270, 31236, 264, 6523, 395, 484, 6600, 264, 4206, 1341, 795, 8649, 4501, 360, 8987, 31236, 270, 31236, 264, 7562, 395, 484, 6600, 264, 4206, 815, 589, 916, 514, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 910, 795, 8649, 6523, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 815, 589, 916, 514, 395, 484, 6600, 7565, 31236, 25773, 31236, 264, 630, 6523, 395, 484, 568, 606, 1256, 1599, 5148, 26420, 6600, 264, 815, 476, 273, 11027, 325, 582, 1341, 6543, 486, 630, 325, 28701, 9087, 264, 9847, 535, 6025, 264, 815, 589, 916, 514, 263, 22886, 582, 266, 395, 486, 994, 5147, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 4905, 281, 5881, 7537, 1948, 277, 18947, 16588, 5231, 11835, 1441, 281, 9947, 476, 1001, 276, 3245, 281, 4789, 24762, 281, 476, 280, 1428, 8729, 281, 476, 27244, 9894, 596, 1413, 693, 519, 3735, 343, 7270, 585, 13004, 594, 6035, 596, 538, 2022, 275, 540, 707, 1433, 8142, 286, 1358, 1223, 4688, 596, 513, 1390, 4308, 540, 960, 269, 8729, 689, 19164, 293, 2135, 454, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6734, 281, 7367, 7537, 5231, 1948, 278, 454, 300, 1897, 692, 16274, 281, 7325, 476, 1001, 278, 454, 5804, 281, 21570, 692, 15803, 281, 476, 7906, 454, 12552, 281, 476, 271, 692, 32621, 912, 20323, 17397, 676, 801, 3999, 9894, 596, 1413, 693, 519, 3735, 343, 7270, 585, 13004, 594, 6035, 596, 538, 2022, 275, 540, 707, 1433, 8142, 286, 1358, 1223, 4688, 596, 513, 1390, 4308, 540, 960, 563, 296, 993, 1175, 3843, 547, 27682, 1250, 2022, 676, 519, 946, 540, 3735, 343, 2483, 3528, 519, 1259, 267, 594, 1175, 4718, 707, 16253, 593, 519, 8212, 8468, 563, 306, 675, 267, 594, 993, 1360, 2484, 689, 1620, 22263, 781, 2981, 1862, 594, 723, 1100, 2192, 16272, 780, 6546, 781, 1946, 1250, 7662, 568, 1862, 1175, 2995, 803, 267, 5225, 267, 2436, 519, 20926, 23650, 568, 2953, 610, 972, 6959, 538, 621, 269, 2334, 781, 621, 1862, 780, 2252, 621, 621, 1932, 796, 1348, 762, 267, 594, 786, 4166, 2022, 513, 1732, 4528, 2854, 676, 3735, 343, 3896, 2807, 780, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 5881, 7537, 5231, 1948, 279, 454, 25938, 1640, 16588, 692, 16274, 281, 4924, 476, 1001, 277, 454, 5804, 281, 5245, 692, 15803, 281, 476, 272, 267, 279, 4375, 454, 12552, 281, 476, 4792, 274, 692, 13043, 10312, 281, 8616, 547, 1265, 856, 563, 32621, 912, 20323, 17397, 676, 19164, 293, 2135, 594, 993, 1175, 3843, 547, 27682, 1250, 2022, 676, 519, 946, 540, 3735, 343, 1862, 1635, 519, 1259, 267, 594, 1175, 4718, 707, 16253, 593, 519, 8212, 8468, 269, 17610, 267, 594, 993, 1360, 2484, 689, 1620, 22263, 781, 2981, 1862, 594, 723, 1100, 2192, 16272, 269, 2334, 781, 1946, 1250, 7662, 568, 1862, 1175, 2995, 803, 267, 5225, 267, 2436, 519, 20926, 23650, 568, 2953, 610, 972, 6959, 538, 621, 269, 2334, 781, 621, 2807, 1403, 621, 621, 1932, 796, 1348, 762, 267, 594, 786, 4166, 2022, 513, 1732, 4528, 2854, 676, 3735, 343, 3896, 907, 2483, 2005, 4667, 607, 952, 596, 616, 2324, 998, 513, 1257, 602, 596, 5749, 1405, 2386, 568, 2953, 610, 711, 269, 2859, 982, 713, 267, 596, 10093, 1405, 6594, 519, 5817, 1570, 1991, 547, 707, 2079, 540, 713, 7606, 960, 780, 2414, 2057, 513, 2009, 9183, 540, 519, 1412, 4565, 785, 3056, 519, 9420, 3299, 621, 1522, 581, 1655, 547, 1445, 593, 1620, 891, 2093, 5094, 689, 713, 835, 2707, 269, 3973, 2097, 1394, 547, 621, 2663, 269, 4746, 1775, 29311, 596, 949, 581, 7996, 585, 2835, 547, 12446, 267, 855, 538, 519, 29291, 621, 949, 581, 4502, 19855, 519, 1357, 585, 1644, 1570, 780, 20809, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 2764, 7537, 5231, 1948, 280, 454, 300, 1897, 692, 16274, 281, 7325, 476, 1001, 278, 454, 5804, 281, 21570, 692, 15803, 281, 476, 7906, 454, 12552, 281, 476, 271, 692, 32621, 912, 20323, 17397, 676, 808, 641, 6853, 898, 4667, 607, 952, 596, 616, 2324, 998, 513, 1257, 602, 596, 5749, 1405, 2386, 568, 2953, 610, 711, 269, 2859, 982, 713, 267, 596, 10093, 1405, 6594, 519, 5817, 1570, 1991, 547, 707, 2079, 540, 713, 7606, 960, 269, 1677, 2057, 513, 2009, 9183, 540, 519, 1412, 4565, 785, 3056, 519, 9420, 3299, 621, 1522, 581, 1655, 547, 1445, 593, 1620, 891, 2093, 5094, 689, 713, 835, 2707, 269, 3973, 2097, 1394, 547, 621, 2663, 269, 4746, 1775, 29311, 596, 949, 581, 7996, 585, 2835, 547, 12446, 267, 855, 538, 519, 29291, 621, 949, 581, 4502, 19855, 519, 1357, 585, 1644, 1570, 563, 2005, 568, 1271, 585, 803, 547, 917, 2436, 646, 630, 1492, 2278, 264, 568, 2953, 610, 711, 780, 4517, 538, 519, 29291, 907, 2386, 267, 594, 993, 3843, 547, 2744, 1702, 269, 898, 786, 581, 3500, 543, 2352, 1184, 13718, 5147, 476, 2537, 6113, 267, 476, 1001, 278, 267, 476, 6860, 281, 5392, 7537, 1948, 1015, 18947, 16588, 5231, 11835, 1441, 281, 9947, 476, 1001, 276, 3245, 281, 4789, 24762, 281, 476, 280, 1428, 8729, 281, 476, 27244, 9119, 538, 1880, 568, 711, 513, 5276, 1641, 269, 1635, 713, 594, 1611, 602, 596, 1590, 1451, 513, 3787, 540, 835, 1888, 538, 1931, 547, 1174, 513, 3787, 540, 1776, 1888, 269, 10705, 1702, 540, 519, 2034, 1888, 786, 1287, 1450, 596, 547, 1451, 811, 827, 519, 1101, 269, 901, 568, 513, 3787, 899, 519, 18618 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6499, 547, 1246, 538, 1200, 3723, 25074, 4517, 811, 256, 9596, 811, 827, 803, 610, 8769, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 21790, 8566, 583, 17583, 257, 607, 851, 540, 834, 4047, 22483, 1299, 32362, 1315, 10791, 1299, 12594, 1315, 12594, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 7025, 10456, 910, 30557, 5455, 585, 4658, 543, 14136, 692, 5331, 6972, 998, 707, 8378, 543, 7487, 7381, 15137, 652, 2931, 3915, 12976, 8673, 883, 519, 6607, 269, 1411, 5469, 602, 1082, 540, 707, 2828, 543, 12543, 616, 3478, 7210, 811, 1419, 982, 8912, 269, 2991, 930, 1382, 267, 596, 3605, 602, 519, 2754, 5665, 1346, 15137, 652, 2931, 814, 1044, 16089, 5739, 6464, 883, 519, 2011, 267, 8380, 3025, 781, 1072, 693, 1981, 269, 901, 3510, 949, 3280, 15490, 267, 855, 621, 4523, 782, 1932, 4749, 1472, 519, 1158, 269, 2334, 781, 1141, 2825, 5126, 2501, 538, 2439, 4089, 476, 272, 281, 1548, 568, 7025, 10456, 2496, 4263, 922, 4295, 267, 2825, 5126, 1797, 4180, 602, 1169, 1268, 1107, 7488, 540, 741, 5198, 267, 14940, 267, 3084, 5169, 267, 4747, 1377, 267, 610, 824, 2188, 1107, 814, 1569, 547, 2973, 1216, 267, 4195, 2011, 267, 2635, 1426, 267, 543, 2922, 2713, 2175, 269, 1879, 2950, 3068, 5533, 610, 13818, 3653, 12871, 4609, 2282, 741, 5321, 267, 3506, 267, 610, 19209, 338, 267, 789, 616, 25409, 4299, 676, 2825, 2800, 269, 1452, 1482, 2950, 849, 4043, 547, 723, 7864, 2200, 547, 4339, 1394, 1996, 3532, 14078, 3743, 585, 3542, 5024, 2238, 269, 1635, 14957, 585, 2825, 5126, 267, 649, 2832, 547, 1711, 12581, 3435, 5466, 1312, 1480, 2924, 543, 8733, 4145, 780, 4089, 476, 273, 281, 7464, 2622, 6201, 692, 2414, 1732, 1174, 2825, 5126, 2152, 267, 1577, 781, 1413, 693, 1079, 1483, 8996, 2665, 1384, 7078, 476, 272, 281, 11146, 22575, 267, 1715, 3840, 630, 3192, 279, 994, 1103, 519, 3735, 476, 5197, 271, 338, 267, 670, 809, 518, 11906, 7577, 1031, 513, 5449, 12324, 3135, 538, 15281, 698, 4673, 22484, 267, 12924, 267, 547, 29746, 6757, 4853, 3653, 269, 13536, 267, 9367, 3710, 8075, 543, 3506, 936, 519, 12617, 22837, 1510, 26655, 7264, 827, 1761, 4220, 269, 5463, 3547, 2663, 267, 538, 476, 3192, 279, 267, 1004, 3459, 8989, 4049, 1072, 2042, 5532, 547, 4598, 547, 6464, 694, 9429, 883, 741, 3490, 906, 543, 8764, 908, 15780, 7727, 269, 11086, 267, 7366, 540, 3885, 1185, 547, 17355, 10663, 741, 5321, 1813, 547, 1164, 2157, 540, 3114, 12526, 269, 5518, 13343, 3240, 25020, 10294, 11146, 22575, 513, 5313, 9568, 1858, 9789, 1101, 942, 971, 513, 17083, 729, 1500, 585, 513, 10821, 2146, 780, 7078, 476, 273, 281, 4469, 842, 4826, 19822, 267, 12309, 630, 1001, 275, 1790, 6974, 994, 14503, 842, 267, 24696, 267, 23564, 922, 1216, 3761, 2707, 689, 8235, 15049, 517, 547, 519, 4469, 842, 5211, 547, 4688, 2724, 269, 1717, 267, 2749, 8387, 8959, 547, 1521, 519, 5757, 1216, 5265, 267, 4929, 1291, 12992, 8876, 6704, 1216, 547, 30599, 1372, 543, 682, 778, 5906, 5666, 540, 1291, 883, 7148, 1216, 269, 1306, 513, 1267, 267, 5215, 540, 1453, 941, 6534, 547, 11506, 1291, 2157, 267, 799, 666, 2014, 3978, 11095, 2152, 269, 6736, 7368, 21855, 689, 7255, 4961, 267, 1533, 543, 2199, 8128, 1705, 2370, 547, 2232, 519, 6433, 2394, 2923, 3007, 7142, 741, 1688, 780, 4089, 476, 274, 281, 14171, 11059, 692, 2026, 2104, 3401, 267, 596, 1932, 666, 3565, 547, 5009, 2825, 5126, 256, 3371, 616, 1614, 3268, 4896, 666, 1491, 1384, 3721, 476, 272, 281, 6258, 2859, 454, 9359, 676, 18997, 3054, 827, 2825, 5126, 2152, 7133, 707, 2199, 2146, 269, 16731, 7270, 899, 519, 7025, 10466, 10837, 630, 292, 5183, 1070, 5682, 701, 864, 267, 610, 23683, 11833, 547, 1451, 811, 827, 1699, 11044, 543, 7341, 780, 3721, 476, 273, 281, 14780, 1047, 17607, 454, 307, 1779, 547, 1920, 2818, 267, 3610, 267, 543, 2828, 827, 1018, 596, 4312, 4121, 269, 9523, 4930, 267, 7044, 267, 610, 1102, 16623, 3842, 1514, 2923, 5867, 547, 3262, 4656, 2417, 269, 5029, 1125, 2621, 610, 5717, 1369, 707, 1153, 610, 2146, 4099, 547, 4497, 1866, 538, 6643, 780, 3721, 476, 274, 281, 5917, 11229, 454, 3725, 778, 856, 547, 11221, 13222, 693, 1585, 2229, 2157, 630, 29985, 267, 1533, 267, 610, 5313, 264, 11589, 707, 6161, 827, 1808, 2825, 5126, 6927, 269, 29934, 1857, 5873, 902, 610, 4884, 31508, 1141, 3664, 18363, 707, 1604, 616, 1373, 5941, 269, 3503, 5022, 547, 15769, 540, 14786, 4687, 707, 4555, 593, 4143, 3584, 269, 12160, 622, 538, 12560, 17600, 610, 23405, 14053, 1689, 780, 6962, 912, 3528, 1620, 543, 14957, 585, 2825, 5126, 267, 596, 1831, 851, 540, 513, 2518, 3350, 20678, 585, 4023, 2126, 543, 3160, 4027, 896, 519, 1876, 585, 782, 2043, 543, 8134, 269, 8625, 267, 649, 666, 1628, 8902, 267, 22928, 267, 543, 811, 8537, 7239, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 4828, 18482, 28825, 268, 10749, 27842, 28825, 268, 4828, 9537, 28825, 268, 11300, 5675, 7151, 454, 19328, 11300, 13360, 902, 27842, 1280, 4841, 454, 2537, 5439, 540, 713, 1826, 454, 2252, 596, 2811, 3168, 585, 606, 10858, 1505, 547, 20928, 1603, 513, 11300, 5675, 827, 3127, 267, 26272, 32487, 2593, 1957, 1603, 3028, 1175, 1522, 581, 2111, 547, 948, 596, 856, 563, 2690, 26784, 267, 596, 1058, 19584, 938, 5318, 6538, 540, 1863, 5439, 602, 3382, 1034, 3309, 3127, 11300, 5675, 3584, 543, 13686, 519, 1655, 4081, 1603, 2853, 269, 4495, 596, 1745, 602, 596, 4312, 23125, 856, 519, 1883, 3741, 540, 1543, 1785, 1005, 543, 3144, 2476, 29829, 2093, 689, 891, 4274, 569, 2854, 11300, 5675, 5439, 267, 3384, 707, 1378, 4081, 960, 1058, 979, 1454, 4443, 563, 4913, 267, 596, 1522, 1869, 1265, 3054, 538, 513, 25896, 950, 1256, 1210, 1283, 27677, 577, 3127, 11300, 13360, 902, 3085, 1405, 1450, 596, 1205, 519, 2816, 12913, 593, 942, 269, 769, 602, 2013, 267, 596, 666, 1205, 538, 5905, 609, 938, 4966, 543, 2307, 873, 547, 4739, 513, 2189, 3127, 1957, 2687, 547, 707, 1367, 884, 857, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20245, 10456, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 4317, 11762, 1315, 6406, 1299, 5274, 7126, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7209, 267, 543, 7850, 3929, 4987, 543, 6568, 666, 7520, 519, 1184, 563, 26452, 18657, 1807, 6163, 2291, 269, 4825, 1600, 16488, 949, 581, 10169, 2976, 894, 543, 4308, 15129, 282, 789, 949, 1683, 8369, 593, 11175, 6724, 269, 4033, 18657, 2209, 949, 9772, 513, 811, 4863, 894, 1935, 267, 13057, 519, 1184, 607, 519, 6105, 10446, 1374, 519, 11175, 269, 17992, 894, 18657, 2209, 6536, 6418, 2242, 602, 12115, 3347, 282, 789, 4225, 2123, 1646, 543, 1279, 3856, 1689, 267, 13156, 11175, 607, 513, 676, 28237, 540, 7096, 6418, 2242, 269, 4787, 2683, 18657, 2209, 3082, 741, 1935, 547, 519, 2470, 540, 519, 15539, 543, 519, 1880, 4170, 540, 519, 6105, 563, 763, 20340, 540, 513, 18657, 1807, 9775, 676, 1533, 543, 1826, 540, 25019, 269, 634, 3044, 10421, 568, 513, 20277, 779, 4110, 267, 1498, 930, 4213, 610, 10470, 949, 4782, 610, 3747, 513, 4487, 779, 4110, 267, 513, 1876, 4110, 267, 610, 513, 15149, 538, 4655, 6571, 269, 2405, 328, 2209, 1590, 4865, 25019, 6791, 543, 2866, 267, 607, 1134, 607, 723, 6192, 7463, 25019, 543, 32404, 2866, 269, 2405, 2747, 2533, 616, 513, 10421, 540, 519, 5934, 20340, 585, 5313, 7694, 269, 476, 3953, 3108, 610, 811, 540, 2866, 538, 4909, 25019, 2553, 269, 2311, 2547, 2947, 13006, 1071, 2173, 2664, 725, 610, 2947, 4830, 1199, 9911, 609, 15028, 10526, 689, 513, 14468, 18657, 1807, 610, 2976, 1807, 616, 2838, 585, 1291, 18657, 2209, 563, 13750, 10391, 1995, 4170, 8428, 267, 855, 519, 5354, 1289, 585, 513, 5934, 1297, 540, 1199, 9911, 5342, 2901, 593, 835, 779, 1378, 610, 896, 519, 5583, 540, 513, 21927, 18657, 1807, 269, 2368, 2829, 3398, 3105, 25019, 1995, 538, 9114, 340, 540, 824, 23944, 28987, 269, 2201, 8317, 267, 513, 18657, 1807, 568, 5697, 1759, 593, 1200, 6791, 538, 513, 1880, 2872, 610, 3924, 269, 589, 18657, 1807, 779, 2702, 547, 10146, 22317, 2152, 3533, 5673, 593, 2872, 10391, 1702, 269, 4197, 562, 32393, 1155, 267, 5389, 267, 543, 10873, 568, 6225, 563, 288, 18657, 1807, 945, 814, 6192, 2866, 3292, 814, 2693, 4607, 930, 6044, 610, 5796, 689, 519, 13384, 1681, 3919, 269, 6969, 3168, 585, 25019, 960, 267, 18657, 2209, 2253, 2866, 609, 606, 4274, 1310, 13215, 519, 2571, 1983, 269, 6969, 13197, 4830, 960, 267, 14971, 18657, 2209, 3335, 5721, 585, 909, 547, 513, 1032, 609, 606, 4810, 4274, 538, 741, 2361, 269, 1358, 2744, 1702, 540, 519, 25019, 5650, 267, 4217, 609, 2665, 267, 543, 1020, 3811, 15539, 6571, 1983, 1282, 713, 2866, 1974, 563, 1805, 919, 602, 2226, 4013, 5480, 18657, 1807, 887, 9094, 3335, 3747, 476, 736, 1700, 2412, 3108, 540, 14468, 25019, 2866, 269, 4107, 2829, 609, 3102, 1533, 4204, 4441, 3747, 811, 2866, 689, 22011, 1023, 945, 1616, 547, 1199, 5573, 1920, 7526, 982, 789, 798, 689, 1346, 945, 1616, 547, 1199, 5573, 3540, 13882, 269, 4400, 4655, 3871, 616, 1455, 538, 6469, 1894, 2665, 267, 543, 519, 5354, 540, 519, 6105, 616, 1396, 580, 1218, 945, 2099, 2933, 269, 7731, 5480, 18657, 2209, 1590, 581, 8499, 5432, 609, 519, 16082, 540, 971, 2665, 1317, 789, 4749, 960, 609, 6105, 945, 616, 711, 5432, 609, 519, 1876, 563, 4263, 4693, 267, 621, 568, 22232, 547, 3489, 519, 6437, 3857, 2801, 543, 824, 27367, 3877, 540, 519, 4966, 267, 855, 6105, 4749, 7340, 547, 798, 519, 1482, 585, 519, 18657, 1807, 269, 898, 568, 1271, 547, 1205, 1022, 1344, 519, 18657, 1807, 949, 723, 827, 1010, 2930, 1702, 543, 5924, 1995, 7231, 609, 519, 10848, 540, 519, 2013, 267, 4470, 593, 519, 1826, 540, 2013, 602, 786, 581, 25358, 269, 898, 568, 849, 5363, 547, 917, 799, 22875, 519, 18657, 1807, 5097, 2853, 538, 543, 2436, 789, 723, 1995, 8204, 27674, 14554, 610, 9718, 1218, 538, 5480, 2665, 269, 634, 18657, 1807, 666, 581, 811, 10388, 952, 789, 616, 5432, 609, 519, 3656, 1062, 543, 519, 14789, 3238, 267, 1519, 519, 1761, 21139, 7535, 543, 16488, 269, 18833, 2436, 519, 18657, 1807, 568, 18164, 827, 519, 2152, 1373, 4843, 267, 971, 607, 1761, 4070, 267, 2564, 267, 610, 813, 749, 622, 2152, 267, 568, 2629, 269, 589, 18657, 1807, 945, 568, 3222, 540, 891, 2152, 543, 18164, 827, 873, 666, 1152, 948, 519, 2013, 581, 17251, 563, 288, 1259, 547, 10018, 930, 16169, 543, 2298, 22059, 568, 998, 13995, 269, 589, 1434, 3318, 1646, 4316, 267, 13995, 6087, 519, 18657, 1807, 547, 4309, 2565, 5955, 593, 741, 5759, 543, 18657, 1807, 7459, 269, 589, 13995, 267, 593, 519, 824, 1688, 267, 968, 785, 545, 919, 602, 606, 1367, 814, 1558, 1978, 9138, 20340, 4441, 2223, 1519, 2069, 543, 2866, 267, 814, 1044, 11117, 676, 824, 31717, 4648, 267, 543, 814, 8810, 513, 1978, 1377, 540, 16169, 538, 13076, 609, 4441, 1305, 676, 10470, 267, 3318, 3906, 267, 610, 824, 4703, 563, 2414, 1831, 14468, 607, 513, 18657, 1807, 267, 513, 1268, 1590, 2347, 513, 476, 2412, 16923, 3102, 25019, 2866, 1982, 267, 12160, 622, 607, 513, 18657, 1807, 630, 548, 611, 543, 5924, 21088, 18657, 1807, 264, 538, 4557, 610, 811, 2665, 8720, 513, 5934, 540, 476, 1911, 3108, 267, 13159, 606, 5993, 10421, 540, 11173, 2069, 267, 2866, 267, 543, 1995, 267, 543, 2806, 728, 676, 519, 18657, 1807, 779, 8943, 540, 18430, 543, 15979, 8889, 543, 30332, 563, 306, 3726, 1464, 540, 519, 2405, 2747, 7844, 454, 1103, 519, 2475, 267, 621, 779, 2629, 547, 1491, 519, 18657, 1807, 779, 17356, 609, 519, 25019, 2203, 883, 2272, 950, 7446, 513, 18657, 1807, 269, 634, 3903, 540, 519, 18657, 1807, 19262, 6297, 7156, 1317, 267, 1256, 1498, 789, 4465, 1406, 581, 1818, 513, 3375, 593, 519, 26350, 540, 519, 15539, 267, 789, 949, 723, 513, 1713, 1764, 593, 875, 1919, 2490, 856, 563, 763, 2702, 547, 3715, 29037, 609, 1142, 540, 519, 11722, 532, 6105, 267, 610, 513, 2078, 540, 1620, 267, 6568, 267, 543, 3972, 267, 568, 2808, 676, 18657, 2209, 547, 581, 519, 1898, 2298, 540, 513, 3811, 18657, 1807, 269, 769, 1931, 547, 1265, 513, 11175, 602, 568, 3858, 762, 547, 1312, 6105, 267, 29037, 7512, 1930, 2792, 1063, 519, 6105, 543, 519, 18657, 1807, 563, 2690, 3236, 267, 18657, 2209, 666, 4196, 607, 2156, 24329, 610, 31717, 2976, 2209, 269, 589, 1507, 12102, 540, 4810, 18657, 2209, 666, 1685, 1312, 3252, 267, 855, 519, 5318, 5354, 540, 18657, 2209, 4043, 547, 20647, 607, 2901, 2156, 24329, 610, 2013, 2976, 2209, 269, 901, 568, 606, 1271, 11984, 602, 519, 6105, 1590, 581, 3222, 540, 538, 7446, 513, 18657, 1807, 563, 2304, 4810, 30549, 666, 948, 519, 6105, 3914, 513, 11175, 267, 855, 786, 3335, 581, 540, 1100, 946, 547, 513, 5428, 602, 568, 18617, 621, 568, 1318, 538, 1169, 3409, 543, 602, 621, 568, 711, 4502, 1818, 1713, 598, 947, 687, 610, 882, 22055, 5109, 2924, 538, 5385, 585, 513, 2656, 6571, 269, 589, 1434, 2013, 2976, 1807, 267, 593, 519, 824, 1688, 267, 949, 1683, 519, 6105, 609, 606, 9237, 543, 6325, 4879, 540, 741, 2013, 855, 19330, 519, 19908, 1983, 2556, 547, 3142, 519, 6105, 6251, 1927, 563, 6524, 6966, 532, 513, 1880, 1268, 607, 513, 18657, 1807, 267, 519, 5428, 1058, 3313, 2436, 621, 5097, 3340, 513, 30549, 610, 513, 2013, 2976, 1807, 267, 543, 1287, 3442, 519, 9043, 540, 18657, 1807, 945, 2887, 1369, 519, 5551, 7121, 563, 22025, 1113, 4762, 26555, 540, 9314, 454, 18183, 26555, 540, 1719, 2049, 950, 513, 18657, 1807, 814, 513, 7196, 538, 519, 6571, 540, 519, 25019, 593, 513, 2123, 610, 2883, 1377, 267, 799, 1223, 14207, 741, 1843, 2032, 610, 7115, 269, 4438, 519, 25019, 1184, 267, 18657, 2209, 538, 519, 7330, 616, 8078, 730, 547, 30035, 1022, 1761, 7526, 540, 1719, 602, 1522, 2291, 269, 901, 568, 2629, 1317, 621, 5849, 519, 18657, 1807, 779, 1843, 2032, 543, 519, 6015, 540, 782, 6105, 538, 519, 25019, 1184, 563, 288, 4655, 540, 1719, 4386, 950, 1022, 2078, 1063, 519, 18657, 1807, 543, 25019, 5171, 610, 519, 15539, 779, 1641, 2339, 8332, 2478, 610, 5526, 547, 14207, 519, 18657, 1807, 779, 31717, 640, 269, 23225, 540, 519, 6381, 616, 7396, 2630, 563, 268, 2405, 328, 2209, 666, 723, 513, 4655, 540, 1719, 952, 789, 723, 513, 2123, 610, 3318, 2078, 609, 513, 25019, 16045, 610, 952, 789, 616, 3238, 538, 519, 15539, 563, 268, 589, 18657, 1807, 4927, 11198, 689, 610, 7771, 547, 8399, 609, 519, 25019, 952, 513, 4655, 540, 1719, 1223, 21230, 581, 9763, 607, 14944, 1456, 519, 25019, 779, 8699, 267, 7488, 540, 519, 6105, 685, 6829, 7287, 610, 6876, 563, 268, 589, 18657, 1807, 4927, 711, 3715, 1776, 2078, 609, 1022, 16045, 538, 1022, 2339, 602, 1131, 1289, 883, 2243, 519, 25019, 779, 8699, 563, 303, 878, 532, 543, 3171, 525, 454, 293, 4315, 616, 1776, 3815, 602, 1590, 581, 3144, 883, 2272, 269, 2405, 2747, 568, 513, 6976, 13567, 267, 543, 3928, 949, 4268, 269, 634, 1942, 540, 25019, 9775, 1759, 593, 519, 1995, 267, 4087, 267, 543, 5662, 569, 2557, 540, 519, 18657, 1807, 269, 2368, 18657, 2209, 5279, 513, 6366, 13927, 267, 1247, 1866, 3915, 676, 519, 5662, 269, 634, 1942, 540, 25019, 666, 2039, 1063, 1896, 4627, 543, 1896, 8536, 9489, 563, 1692, 13518, 1684, 2405, 2747, 7896, 8779, 888, 300, 27467, 2533, 616, 9901, 676, 519, 5662, 269, 634, 1942, 540, 25019, 9775, 2066, 519, 2197, 267, 855, 621, 568, 30050, 538, 6476, 547, 519, 13258, 540, 25036, 269, 15380, 267, 12375, 2992, 519, 4282, 267, 2866, 267, 2069, 267, 543, 1995, 540, 519, 18657, 1807, 269, 2368, 18657, 2209, 2569, 741, 3928, 607, 811, 3108, 616, 1433, 539, 267, 1247, 1866, 1904, 547, 5279, 513, 6366, 2557, 269, 634, 5354, 540, 5480, 22190, 31212, 18657, 2209, 5279, 12375, 593, 513, 23510, 4336, 267, 799, 4357, 18657, 2209, 849, 1683, 269, 634, 23510, 4336, 1505, 13279, 12375, 593, 519, 7817, 779, 4747, 563, 27039, 593, 519, 18657, 1807, 267, 1826, 540, 15539, 267, 543, 4087, 267, 25019, 2533, 616, 536, 2683, 2901, 676, 519, 5662, 610, 676, 519, 1554, 269, 634, 5662, 569, 2557, 666, 2039, 1063, 1269, 1911, 543, 1269, 8517, 267, 543, 519, 3232, 2557, 1063, 1269, 20981, 543, 1269, 279, 267, 1822, 269, 2368, 18657, 2209, 949, 849, 5279, 3606, 12375, 585, 2013, 2359, 610, 585, 1808, 2533, 269, 634, 5354, 540, 1199, 9911, 2063, 835, 547, 1614, 2395, 563, 19613, 267, 18657, 1807, 1995, 267, 543, 15539, 6988, 666, 1860, 25019, 3790, 563, 8512, 625, 666, 849, 8237, 25019, 3790, 269, 901, 666, 9004, 519, 4743, 602, 835, 5428, 568, 9878, 811, 540, 519, 12375, 543, 5000, 513, 2656, 6571, 269, 7040, 12375, 616, 7199, 269, 2405, 2747, 666, 4688, 5215, 540, 9489, 538, 3656, 12375, 543, 1491, 3275, 547, 2347, 269, 634, 3790, 540, 513, 5480, 2013, 666, 6861, 513, 2078, 610, 1920, 267, 855, 513, 25358, 6876, 949, 948, 1832, 3984, 1988, 1970, 543, 1450, 519, 7008, 547, 3251, 593, 1434, 2474, 563, 7197, 2829, 2709, 1970, 21057, 1920, 25019, 267, 543, 930, 2154, 26692, 25019, 538, 16028, 2665, 269, 17721, 5662, 569, 1790, 4660, 18657, 2209, 666, 849, 1683, 25019, 269, 30374, 2173, 2664, 2209, 5279, 811, 982, 1875, 18607, 2173, 2664, 2209, 267, 543, 3928, 4096, 593, 519, 18657, 1807, 779, 7463, 2866, 543, 22754, 267, 13664, 1858, 267, 543, 1995, 630, 5976, 2362, 3928, 538, 23195, 2127, 1040, 2368, 4357, 25019, 7426, 2709, 4747, 2861, 23510, 4336, 12375, 563, 300, 27467, 3790, 4096, 593, 15539, 3259, 269, 13216, 2152, 2154, 811, 7886, 547, 8207, 269, 1717, 267, 1930, 2792, 543, 14207, 666, 3432, 909, 25019, 269, 11038, 29801, 267, 1483, 10040, 813, 20333, 619, 267, 543, 16468, 2272, 8237, 1562, 666, 849, 1860, 621, 269, 1452, 4966, 1942, 811, 982, 18657, 2209, 855, 1447, 982, 4693, 17864, 563, 1103, 519, 2136, 2276, 267, 972, 616, 1585, 536, 3739, 3681, 585, 18657, 2209, 269, 28914, 569, 536, 3739, 267, 829, 1606, 11970, 536, 3739, 267, 543, 10189, 536, 3739, 616, 513, 1906, 1806, 269, 1879, 513, 18657, 1807, 10997, 606, 5662, 569, 2557, 585, 741, 2533, 267, 713, 568, 5219, 547, 607, 5662, 569, 536, 3739, 269, 634, 2557, 9775, 1759, 593, 519, 18657, 1807, 543, 519, 4087, 540, 519, 25019, 269, 1879, 536, 3739, 829, 8400, 267, 519, 18657, 1807, 10997, 513, 13927, 585, 1142, 8400, 269, 1879, 513, 18657, 1807, 10997, 513, 6366, 13927, 585, 513, 10189, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 519, 13013, 11190, 6042, 602, 2232, 891, 10898, 543, 519, 3937, 543, 5773, 602, 5520, 1058, 946, 547, 960, 609, 873, 9108, 563, 763, 834, 299, 9554, 8881, 538, 14716, 2037, 4921, 8881, 14173, 257, 1982, 11828, 1114, 2010, 540, 561, 5417, 619, 267, 519, 10898, 602, 666, 581, 2404, 609, 873, 267, 543, 875, 5520, 666, 960, 609, 873, 9108, 563, 5415, 4070, 4600, 5884, 689, 9991, 689, 513, 4463, 1657, 3670, 3952, 269, 4937, 4070, 30714, 5216, 1085, 1170, 528, 12740, 1644, 7972, 1142, 1032, 269, 22484, 689, 606, 11506, 3760, 616, 3361, 5097, 676, 513, 11832, 779, 22247, 957, 971, 607, 6028, 10766, 11800, 796, 3430, 3737, 267, 605, 6137, 519, 10766, 1930, 267, 610, 16246, 909, 593, 610, 10709, 532, 936, 519, 9856, 571, 559, 1062, 269, 901, 1982, 779, 3584, 1331, 21934, 13783, 267, 3123, 540, 21934, 13783, 7063, 267, 2596, 4238, 267, 14791, 267, 543, 3106, 11974, 563, 2467, 814, 1044, 865, 1454, 1344, 827, 1793, 2354, 267, 15143, 267, 543, 8813, 602, 1082, 1004, 616, 1100, 3476, 9878, 3007, 269, 6215, 2354, 543, 8813, 1031, 547, 581, 519, 2101, 3123, 540, 7063, 269, 1703, 616, 2665, 1141, 1004, 941, 22393, 14593, 1524, 24383, 269, 1703, 723, 1044, 513, 2647, 2039, 540, 10913, 538, 519, 9036, 689, 1169, 10703, 22133, 2014, 269, 4634, 2882, 4881, 883, 9885, 610, 9885, 4881, 883, 1004, 269, 808, 18804, 689, 11506, 7252, 814, 3361, 3833, 513, 1906, 7063, 538, 14060, 849, 269, 0, 6635, 4226, 1674, 568, 513, 1106, 540, 4244, 15539, 6571, 630, 4696, 305, 1040, 6145, 824, 3029, 540, 5084, 305, 267, 621, 568, 1031, 607, 513, 1505, 540, 5480, 21084, 269, 769, 32404, 267, 606, 31717, 3791, 5428, 267, 2048, 1492, 11737, 15249, 8730, 30650, 519, 15539, 1063, 519, 6105, 269, 2991, 6217, 519, 15539, 789, 2097, 547, 513, 3375, 799, 568, 16155, 11006, 593, 1312, 6105, 269, 1488, 4226, 1674, 1876, 2636, 2901, 5428, 547, 9029, 547, 519, 5480, 952, 27025, 30829, 609, 519, 11737, 15249, 779, 3375, 563, 6635, 4226, 1674, 1876, 543, 3652, 616, 18170, 676, 519, 1488, 4226, 1674, 2920, 476, 1960, 277, 269, 7201, 32404, 1876, 267, 32404, 666, 1152, 581, 1031, 607, 513, 1505, 585, 20547, 513, 15539, 952, 1312, 6105, 9844, 547, 1210, 621, 563, 6635, 4226, 1674, 568, 1373, 1031, 811, 4749, 1813, 547, 922, 9228, 2640, 269, 898, 568, 4357, 267, 1419, 14949, 982, 25036, 543, 849, 1447, 6101, 982, 25036, 269, 1488, 4226, 1674, 814, 1044, 1031, 538, 4922, 538, 5010, 8658, 269, 1280, 1383, 267, 621, 568, 1419, 1031, 547, 8207, 4579, 783, 13882, 1063, 4213, 269, 10705, 267, 5010, 11731, 2270, 606, 32404, 16083, 269, 901, 16083, 10416, 2829, 602, 538, 519, 2013, 540, 1022, 13882, 1063, 519, 6105, 267, 32404, 786, 581, 1031, 547, 8207, 873, 563, 2026, 32404, 1876, 2356, 2488, 585, 519, 3375, 540, 519, 11737, 15249, 547, 581, 16155, 11006, 267, 621, 568, 16122, 602, 596, 4051, 513, 1151, 545, 3218, 547, 2099, 596, 538, 32404, 5873, 902, 269, 1488, 4226, 1674, 5873, 902, 267, 4352, 1447, 6101, 982, 5480, 267, 1869, 2154, 4274, 3656, 13222, 547, 2322, 4464, 707, 2013, 607, 3927, 607, 2009, 269, 13751, 13222, 666, 849, 948, 596, 9029, 519, 3375, 540, 519, 11737, 15249, 952, 596, 616, 711, 13854, 609, 621, 563, 2252, 596, 1131, 899, 547, 3489, 3656, 5796, 543, 1344, 593, 32404, 543, 519, 4143, 1876, 267, 595, 13273, 666, 2322, 596, 538, 5905, 609, 513, 2199, 11285, 6406, 22175, 12720, 3752, 545, 3218, 1863, 540, 5279, 269, 1924, 267, 952, 596, 723, 1022, 2055, 610, 1131, 899, 938, 948, 538, 4466, 2199, 6406, 22175, 12720, 3752, 545, 6002, 5225, 1289, 721, 593, 476, 24699, 271, 476, 10082, 278, 476, 15757, 610, 2347, 519, 1357, 27322, 1657, 269, 0, 1103, 519, 11477, 7706, 267, 9319, 9568, 6238, 609, 513, 2973, 10051, 269, 15332, 15312, 267, 513, 5544, 1652, 10051, 568, 513, 28183, 1996, 1761, 10898, 269, 8617, 7738, 13467, 2327, 3106, 267, 7303, 10913, 543, 5009, 1426, 9882, 269, 3245, 3232, 4247, 547, 12353, 2620, 7738, 267, 1142, 1900, 8309, 547, 9568, 6604, 269, 9605, 3106, 3800, 543, 11641, 1852, 1831, 811, 2500, 538, 513, 1134, 31720, 22633, 10051, 269, 589, 804, 13616, 6954, 2230, 543, 1697, 3653, 2359, 3986, 3919, 543, 27194, 267, 1247, 2973, 6539, 29353, 849, 6536, 1732, 11255, 2011, 2298, 543, 3565, 547, 2790, 1134, 5630, 269, 1280, 5010, 6539, 29353, 267, 2533, 899, 13317, 29673, 32431, 27686, 1683, 14468, 7738, 6791, 538, 4509, 513, 31978, 545, 543, 2922, 1604, 563, 763, 19043, 540, 28881, 11162, 17349, 454, 1103, 519, 7706, 540, 10051, 27194, 267, 26724, 3106, 568, 14063, 269, 589, 2973, 10051, 3648, 6971, 519, 1981, 540, 10913, 543, 1761, 10898, 269, 13068, 4831, 339, 3591, 543, 6896, 5624, 7413, 519, 8458, 540, 1793, 2354, 267, 15143, 267, 543, 8813, 269, 8617, 7738, 13467, 849, 2232, 6456, 12178, 267, 971, 607, 29908, 610, 3765, 31419, 27022, 269, 3958, 267, 513, 804, 13616, 6954, 1604, 10597, 15287, 267, 4180, 513, 10930, 5986, 543, 1426, 7041, 1995, 269, 1635, 1818, 3106, 513, 10862, 538, 10051, 27194, 267, 2043, 1711, 513, 5150, 11477, 10093, 602, 24024, 519, 1761, 585, 10913, 543, 8992, 513, 5150, 543, 2566, 6954, 5986, 1604, 563, 763, 4276, 1063, 10051, 27194, 543, 1426, 9882, 568, 26837, 4192, 269, 589, 2973, 10051, 568, 519, 1101, 1899, 540, 8878, 1996, 1426, 13871, 10108, 269, 9061, 9762, 8727, 267, 513, 1455, 27521, 538, 22247, 6539, 29353, 267, 568, 7339, 730, 998, 22111, 7738, 2853, 269, 8617, 771, 26529, 540, 7252, 267, 5969, 12545, 267, 543, 27022, 5849, 602, 5739, 4551, 616, 6854, 693, 15922, 269, 5047, 267, 513, 9846, 2973, 10051, 1604, 8992, 513, 2528, 540, 2922, 1426, 7829, 269, 1635, 8508, 1426, 9882, 607, 606, 7533, 851, 540, 10051, 27194, 267, 2043, 711, 1152, 16102, 741, 1072, 855, 849, 3565, 547, 519, 2949, 1134, 5630, 540, 1346, 789, 4196, 563, 7093, 24000, 519, 24619, 540, 5253, 13871, 4576, 912, 18439, 519, 2565, 1909, 540, 4509, 513, 2973, 10051, 538, 17420, 1996, 519, 6771, 540, 1426, 13871, 10108, 269, 1133, 16225, 519, 2853, 543, 3800, 2556, 547, 2327, 513, 31978, 545, 5986, 1604, 267, 7863, 1312, 2043, 543, 1857, 1072, 563, 18719, 704, 569, 19345, 6539, 29353, 666, 22426, 5739, 4551, 267, 971, 607, 661, 269, 19546, 267, 27187, 267, 543, 853, 20942, 19905, 28857, 267, 799, 666, 2014, 1426, 13871, 4576, 269, 1452, 10108, 666, 1291, 547, 13481, 267, 13165, 267, 25574, 267, 543, 1256, 2669, 563, 6097, 547, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1070, 606, 6059, 476, 4366, 2929, 4892, 1205, 7210, 689, 1426, 13871, 4576, 1142, 1032, 267, 476, 12553, 267, 1822, 616, 32509, 267, 543, 476, 274, 267, 1822, 5884, 563, 763, 24093, 540, 10598, 22162, 28881, 27686, 454, 16914, 636, 4327, 31294, 538, 9688, 26372, 338, 543, 28954, 13514, 513, 1713, 3595, 1981, 269, 10598, 22162, 2834, 7738, 4679, 519, 10171, 540, 513, 10051, 3595, 9568, 269, 14173, 29353, 267, 14297, 32387, 540, 2534, 267, 616, 849, 28326, 26105, 585, 1761, 3595, 10898, 269, 13983, 848, 19221, 538, 9688, 26372, 338, 13514, 513, 1713, 1981, 267, 1818, 2834, 7738, 14063, 269, 11483, 32431, 11162, 518, 2533, 1404, 513, 2629, 1909, 538, 19086, 3595, 10898, 676, 4180, 9488, 543, 12333, 27686, 540, 1401, 9151, 7010, 563, 16914, 636, 4327, 31294, 267, 513, 29200, 3595, 5787, 656, 267, 568, 29367, 6569, 267, 4227, 519, 1981, 540, 10051, 11642, 269, 8617, 7738, 711, 1152, 5360, 625, 609, 3106, 6042, 855, 849, 10597, 519, 2949, 3595, 3106, 540, 519, 10051, 269, 2060, 11483, 32431, 11162, 518, 267, 6539, 29353, 666, 18390, 10994, 3595, 10898, 267, 2870, 513, 10930, 11477, 1604, 585, 782, 563, 10890, 543, 8881, 15329, 725, 454, 10890, 543, 3106, 19374, 3277, 547, 23563, 540, 6042, 2966, 547, 2149, 2043, 689, 2800, 610, 5945, 538, 1585, 5054, 267, 1519, 28737, 543, 1857, 5624, 269, 1452, 19374, 7854, 513, 2039, 540, 1055, 5151, 267, 971, 607, 5821, 547, 1683, 7850, 8825, 3937, 267, 16283, 2866, 267, 22247, 2324, 2175, 267, 543, 16789, 7829, 540, 13818, 2326, 563, 11754, 7675, 1072, 543, 3106, 19374, 568, 2629, 547, 4509, 513, 5150, 1604, 585, 5520, 267, 8436, 267, 543, 519, 1857, 269, 20871, 1590, 4225, 10220, 609, 6042, 267, 2932, 2834, 10526, 267, 543, 2936, 30997, 3800, 547, 2061, 19374, 543, 3895, 513, 2528, 540, 3106, 269, 15329, 725, 666, 1291, 547, 3656, 4539, 267, 2883, 20507, 267, 543, 8088, 1049, 3441, 267, 10771, 519, 2956, 540, 14942, 3106, 3800, 563, 3963, 7994, 13317, 29673, 32431, 11162, 518, 4993, 7330, 454, 5425, 32431, 11162, 518, 30193, 3294, 607, 513, 22973, 24343, 538, 9568, 6604, 267, 5356, 26080, 3028, 543, 6791, 912, 4263, 11483, 32431, 11162, 518, 267, 649, 1491, 11348, 538, 938, 2319, 540, 3810, 8036, 4648, 945, 3142, 513, 5763, 540, 6791, 547, 1169, 7738, 3028, 269, 2060, 538, 3829, 1702, 543, 3946, 6823, 1995, 267, 649, 2327, 602, 707, 10661, 11392, 22111, 3007, 267, 5807, 513, 2973, 543, 2922, 1604, 602, 7339, 919, 1761, 12469, 563, 2171, 4225, 707, 3106, 676, 14553, 20170, 547, 1072, 543, 3106, 6042, 269, 3776, 7029, 547, 10220, 568, 513, 22294, 540, 938, 3028, 267, 3246, 596, 609, 519, 22059, 602, 707, 9744, 10742, 2872, 4441, 269, 1635, 7303, 1761, 12469, 998, 11826, 15984, 547, 6042, 267, 649, 16102, 707, 1870, 543, 519, 1134, 5630, 540, 1346, 1369, 621, 563, 28403, 1944, 602, 1114, 5054, 723, 2189, 2115, 267, 649, 20688, 938, 2533, 547, 9290, 519, 1808, 4170, 540, 1142, 7817, 269, 6787, 596, 7500, 513, 14297, 13962, 610, 513, 22471, 559, 9972, 2713, 9744, 267, 938, 16419, 1935, 5849, 602, 1169, 7944, 568, 9619, 269, 901, 13916, 711, 1152, 10597, 519, 7145, 540, 938, 7738, 855, 849, 20383, 609, 707, 1367, 14422, 543, 2591, 563, 1103, 7446, 11483, 32431, 11162, 518, 267, 596, 616, 8939, 513, 7649, 6131, 547, 12419, 11108, 3028, 269, 3776, 6791, 267, 7029, 547, 10220, 267, 543, 16419, 3435, 15217, 3565, 547, 9568, 6604, 267, 5356, 596, 4708, 540, 2247, 538, 6616, 602, 707, 10661, 568, 538, 5827, 3946, 563, 1103, 3932, 267, 9319, 9568, 538, 513, 5010, 10051, 3322, 14942, 543, 9488, 7738, 269, 11483, 32431, 11162, 518, 781, 2039, 540, 2533, 2488, 513, 3102, 3070, 267, 17420, 1996, 3595, 10898, 267, 1072, 19374, 267, 543, 10512, 21463, 269, 7767, 538, 519, 27194, 543, 3106, 540, 707, 10051, 609, 11483, 32431, 11162, 518, 781, 11967, 2533, 269, 29175, 622, 707, 5010, 10051, 781, 9882, 609, 13317, 29673, 32431, 11162, 518, 781, 28315, 610, 13600, 569, 12213, 27686, 7896, 269, 3776, 4274, 2319, 24870, 538, 3102, 2533, 267, 1519, 9688, 26372, 7738, 267, 13962, 9688, 26372, 7738, 267, 543, 5010, 10051, 26372, 7738, 563, 2171, 8831, 938, 22111, 1416, 547, 3309, 5054, 971, 607, 9972, 2713, 6703, 267, 3506, 267, 543, 1256, 17075, 1576, 6539, 29353, 269, 3245, 10051, 9688, 13811, 7738, 547, 26372, 6882, 7738, 1299, 10682, 267, 938, 3358, 3435, 2327, 513, 29814, 543, 5360, 5050, 2230, 269, 21480, 513, 1289, 609, 721, 693, 630, 280, 1626, 264, 476, 278, 866, 268, 5952, 278, 276, 547, 1865, 707, 1808, 2115, 267, 543, 1995, 519, 17284, 540, 938, 10051, 5887, 7738, 543, 2604, 11547, 7738, 3028, 269, 7767, 538, 27194, 609, 13317, 29673, 32431, 11162, 518, 585, 513, 10930, 267, 8902, 10051, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 303, 15056, 1916, 268, 11038, 25010, 281, 1514, 12879, 666, 849, 723, 2883, 29854, 267, 2523, 952, 2576, 8813, 6408, 547, 513, 1085, 600, 269, 769, 930, 2665, 267, 1004, 723, 4503, 741, 1272, 9806, 610, 1044, 2451, 609, 11493, 7963, 563, 4407, 1514, 12879, 666, 723, 3978, 4539, 267, 621, 779, 1271, 547, 3314, 602, 711, 3025, 945, 3096, 621, 568, 3257, 865, 17351, 569, 269, 6884, 267, 1004, 2490, 547, 1514, 12879, 1317, 789, 22992, 3494, 621, 779, 519, 1655, 1259, 547, 3035, 741, 3853, 269, 1717, 267, 7488, 540, 519, 8247, 3297, 621, 267, 1514, 12879, 568, 513, 19408, 4640, 602, 1058, 581, 1031, 609, 13657, 563, 1724, 9669, 1280, 3680, 532, 4317, 28294, 1637, 454, 12892, 12879, 666, 581, 2352, 547, 4308, 609, 1317, 621, 779, 1419, 711, 6654, 950, 621, 779, 8345, 269, 6884, 267, 1004, 616, 26203, 1510, 1256, 16734, 621, 269, 1703, 616, 513, 1906, 1919, 596, 666, 798, 547, 2119, 547, 2057, 1514, 12879, 267, 610, 693, 2547, 7413, 922, 1764, 912, 268, 25506, 950, 621, 779, 8345, 269, 744, 1111, 550, 1307, 267, 1514, 12879, 666, 581, 2352, 547, 5544, 269, 9796, 3007, 547, 519, 1913, 543, 3527, 540, 519, 1268, 945, 568, 3843, 547, 13861, 596, 267, 543, 1413, 585, 1022, 12804, 10262, 24500, 563, 268, 5901, 707, 4664, 538, 2638, 269, 28294, 22399, 786, 1419, 2119, 547, 1491, 5413, 540, 707, 4664, 538, 1931, 547, 1205, 1018, 789, 1616, 269, 1403, 596, 666, 1832, 707, 4664, 538, 2638, 267, 621, 786, 581, 811, 2352, 585, 873, 547, 13861, 596, 563, 268, 5590, 6302, 269, 2913, 519, 6354, 15975, 917, 1018, 596, 786, 543, 786, 711, 20496, 269, 901, 786, 948, 547, 25339, 873, 689, 3843, 547, 13861, 596, 563, 268, 25529, 547, 707, 15963, 269, 4495, 596, 4076, 1767, 1100, 267, 1810, 1406, 1577, 519, 6354, 15975, 18609, 596, 547, 1689, 707, 2247, 269, 898, 666, 581, 2352, 267, 855, 621, 779, 1271, 547, 1796, 707, 2666, 563, 268, 5700, 707, 4502, 269, 28294, 22399, 786, 1419, 2119, 547, 1118, 596, 1745, 899, 596, 2461, 711, 1434, 2614, 269, 5457, 602, 596, 616, 17709, 540, 2463, 543, 2648, 267, 1100, 2339, 1018, 519, 6354, 15975, 3081, 563, 268, 20028, 3054, 689, 519, 6354, 15975, 269, 1403, 2009, 267, 2119, 547, 3845, 3054, 689, 519, 1268, 945, 568, 22392, 596, 269, 901, 949, 711, 2141, 581, 2009, 267, 855, 621, 666, 581, 5363, 952, 596, 2461, 2111, 547, 798, 621, 563, 268, 28423, 909, 585, 3054, 269, 5213, 1406, 1577, 519, 6354, 15975, 3802, 782, 936, 596, 269, 1403, 789, 2161, 610, 798, 1945, 602, 3884, 1406, 21453, 267, 3717, 909, 585, 3054, 543, 1577, 873, 917, 602, 741, 2623, 568, 711, 11807, 563, 268, 5192, 1489, 689, 1866, 269, 4317, 12879, 666, 581, 513, 2352, 3364, 547, 4308, 609, 593, 707, 1378, 269, 13185, 547, 513, 11967, 3659, 610, 1920, 4759, 827, 1018, 779, 2469, 593, 267, 543, 1205, 741, 1489, 543, 5796, 563, 268, 5213, 1406, 2285, 6354, 11494, 1004, 1932, 1454, 1379, 936, 596, 269, 1403, 2576, 568, 7683, 3843, 547, 1852, 610, 1491, 5413, 540, 596, 267, 621, 779, 1271, 547, 1305, 6302, 269, 5457, 602, 596, 723, 513, 1318, 547, 2161, 968, 7224, 892, 543, 547, 1796, 909, 585, 3054, 563, 268, 5213, 1406, 581, 2220, 26359, 676, 8900, 14767, 610, 1166, 19495, 269, 28294, 11494, 1004, 1419, 946, 7301, 14767, 610, 1202, 1550, 516, 5360, 9323, 607, 513, 1259, 547, 1205, 1018, 789, 1616, 269, 1403, 2576, 568, 1818, 6264, 14767, 602, 3100, 1932, 1434, 547, 581, 3020, 267, 581, 26617, 543, 2307, 3054, 1946, 789, 2461, 2731, 6031, 621, 563, 268, 2142, 1167, 518, 940, 827, 945, 596, 3972, 269, 3502, 3025, 568, 856, 547, 13861, 596, 267, 855, 621, 779, 1271, 547, 581, 6297, 827, 945, 596, 1577, 883, 707, 1272, 269, 1403, 2576, 4667, 31877, 610, 2150, 6412, 18976, 267, 621, 779, 4440, 1655, 547, 1832, 707, 3845, 563, 268, 5700, 707, 2924, 543, 875, 547, 7682, 873, 269, 1403, 596, 1745, 899, 596, 2461, 1373, 26203, 610, 3144, 5413, 540, 267, 1810, 1406, 581, 12922, 547, 3717, 909, 585, 3054, 269, 18833, 707, 2924, 543, 875, 547, 7682, 873, 666, 948, 596, 1796, 909, 547, 6354, 11494, 2623, 543, 2149, 3054, 689, 14226, 563, 268, 16418, 3318, 948, 269, 1403, 1514, 12879, 568, 4358, 547, 1860, 707, 2790, 1072, 267, 621, 949, 581, 942, 547, 3343, 3318, 948, 689, 513, 13309, 610, 24468, 269, 1358, 666, 1683, 596, 609, 2645, 543, 2994, 585, 7231, 609, 1514, 12879, 538, 513, 2635, 1259, 3034, 12892, 12879, 568, 513, 3532, 1907, 602, 666, 581, 1031, 547, 3310, 519, 4555, 267, 4606, 267, 543, 5615, 540, 1866, 269, 2755, 621, 666, 581, 1031, 585, 1434, 267, 971, 607, 4543, 2576, 7753, 513, 4250, 610, 4657, 513, 3983, 4356, 267, 621, 666, 849, 581, 1031, 585, 9409, 7475, 563, 17829, 945, 616, 9952, 538, 1514, 12879, 666, 946, 621, 547, 1852, 543, 13861, 1866, 585, 741, 1378, 4324, 269, 5221, 540, 713, 267, 621, 568, 1271, 547, 581, 3222, 540, 519, 4191, 540, 1514, 12879, 543, 547, 917, 875, 547, 9718, 3054, 1996, 621, 563, 296, 345, 6373, 267, 918, 1421, 1299, 1520, 20462, 338, 267, 681, 269, 630, 1001, 274, 1040, 4317, 28294, 1637, 540, 2776, 12401, 538, 519, 5274, 11020, 269, 3026, 584, 517, 267, 476, 4281, 263, 274, 1070, 476, 6321, 274, 1700, 6872, 274, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 269, 928, 584, 517, 269, 1001, 274, 269, 6734, 269, 271, 2537, 454, 289, 1380, 267, 667, 269, 631, 1421, 717, 2345, 267, 631, 1421, 11612, 326, 1231, 267, 667, 269, 590, 1421, 1299, 700, 2246, 8538, 778, 267, 918, 269, 630, 2735, 278, 1040, 570, 716, 923, 540, 12879, 269, 4750, 540, 22226, 543, 4317, 10017, 267, 476, 7367, 263, 277, 1070, 476, 13199, 280, 1700, 14338, 280, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 9818, 278, 270, 16573, 273, 268, 31134, 736, 269, 14096, 269, 14138, 269, 15686, 454, 295, 516, 16535, 267, 715, 269, 966, 269, 630, 1708, 271, 1040, 13662, 21062, 12471, 13965, 6789, 303, 4488, 4811, 5508, 631, 3198, 7709, 308, 6369, 3582, 23166, 2562, 4888, 29206, 303, 8991, 2177, 3201, 29206, 3722, 3582, 281, 631, 3198, 7709, 308, 6369, 16739, 6730, 631, 3198, 7709, 8085, 2969, 27633, 269, 623, 8991, 2177, 3201, 14510, 5442, 14298, 5746, 4953, 312, 281, 13662, 21062, 12471, 13965, 631, 17248, 3198, 3041, 5960, 5508, 8028, 30888, 14510, 267, 476, 4097, 1700, 7367, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 11740, 6795, 270, 7818, 268, 280, 5780, 268, 4375, 278, 268, 20385, 268, 272, 270, 4097, 268, 7367, 0, 299, 582, 23065, 723, 513, 1279, 543, 9867, 1686, 269, 634, 3943, 13169, 7389, 1394, 547, 519, 476, 5611, 271, 338, 267, 855, 7969, 27601, 616, 1454, 4587, 269, 634, 3943, 13169, 729, 1101, 5189, 676, 14731, 594, 543, 10150, 7839, 8560, 2394, 519, 476, 1704, 628, 2540, 267, 950, 8402, 2473, 4353, 4465, 513, 1283, 16101, 538, 513, 5373, 543, 8120, 1010, 3094, 11789, 547, 23799, 25572, 269, 769, 476, 8146, 277, 267, 3943, 27601, 941, 7979, 31090, 267, 855, 513, 1007, 13169, 729, 5189, 267, 519, 20769, 24809, 2817, 324, 267, 538, 476, 4350, 274, 269, 2991, 2622, 2782, 4083, 267, 519, 20769, 24809, 2817, 324, 729, 17468, 563, 299, 582, 23065, 616, 513, 1106, 540, 13989, 454, 6624, 1004, 723, 4862, 827, 13169, 3094, 11789, 267, 855, 798, 789, 2731, 2291, 286, 901, 2442, 1106, 540, 13989, 3322, 5373, 1808, 2338, 689, 6266, 540, 1004, 269, 634, 16101, 2724, 568, 2356, 6666, 610, 5370, 267, 543, 621, 666, 581, 1031, 585, 4376, 689, 2564, 2126, 547, 5026, 2319, 31585, 269, 2755, 621, 568, 513, 1106, 540, 13989, 267, 13169, 3094, 11789, 616, 849, 4922, 7608, 1317, 540, 519, 2724, 789, 5352, 585, 513, 3099, 540, 1434, 3123, 269, 1656, 1247, 513, 13169, 568, 513, 1106, 540, 13989, 267, 621, 568, 711, 10363, 607, 1279, 607, 621, 568, 5342, 538, 606, 5683, 6073, 563, 6624, 6608, 723, 3656, 1242, 13169, 3094, 11789, 267, 855, 930, 723, 17049, 873, 15587, 269, 769, 519, 772, 2529, 1421, 519, 5354, 540, 2829, 723, 1500, 873, 10363, 269, 1809, 538, 824, 2477, 267, 789, 616, 14931, 269, 15380, 267, 6608, 10238, 527, 519, 9042, 540, 13169, 17914, 547, 1295, 832, 267, 543, 21527, 1590, 581, 13931, 547, 6133, 873, 269, 10801, 1034, 540, 519, 14206, 2540, 267, 1034, 3029, 540, 13989, 941, 10363, 267, 1519, 13169, 3094, 11789, 269, 2368, 2477, 17049, 27601, 2394, 519, 1439, 540, 2622, 2782, 4083, 563, 5445, 2709, 1804, 6666, 26065, 454, 2690, 1383, 267, 519, 667, 7974, 476, 273, 2518, 16101, 7535, 568, 1269, 11152, 2929, 9489, 269, 4033, 3756, 267, 971, 607, 13477, 540, 6181, 1742, 267, 723, 16101, 20115, 607, 1164, 607, 1269, 2767, 2929, 9489, 269, 22388, 21178, 686, 651, 281, 6820, 5510, 2400, 543, 10060, 14958, 849, 723, 5458, 16101, 20115, 269, 769, 824, 1913, 267, 3318, 3381, 3014, 682, 8046, 616, 4742, 607, 2462, 607, 3318, 5026, 269, 1280, 1346, 945, 1131, 899, 547, 3094, 2462, 6666, 26065, 267, 670, 28566, 309, 779, 14134, 5600, 31687, 788, 560, 1389, 616, 849, 4502, 3168, 883, 563, 5445, 616, 6896, 865, 602, 513, 6871, 540, 519, 12434, 568, 24603, 547, 1434, 3123, 454, 763, 2229, 666, 3310, 519, 3892, 540, 13169, 23131, 269, 2368, 2477, 1305, 21159, 585, 519, 3892, 540, 13169, 12434, 538, 741, 4031, 269, 11524, 4734, 713, 547, 2229, 3375, 267, 799, 1223, 581, 20833, 12592, 269, 3958, 267, 930, 6608, 946, 13169, 23131, 547, 2508, 7341, 602, 1058, 581, 14102, 676, 824, 2959, 269, 1280, 1383, 267, 538, 24765, 8205, 267, 513, 1876, 31433, 519, 13169, 18689, 10706, 269, 769, 824, 2477, 267, 13169, 23131, 949, 581, 1031, 585, 2229, 7836, 563, 6624, 13169, 18793, 3494, 602, 519, 13169, 1062, 2640, 1312, 519, 6345, 543, 519, 1434, 2014, 269, 24812, 945, 616, 18822, 2614, 547, 3094, 513, 16101, 666, 1964, 21407, 602, 513, 6712, 540, 519, 2724, 789, 6108, 786, 979, 4724, 513, 26656, 2014, 269, 8409, 945, 723, 8373, 18468, 602, 10888, 513, 13169, 568, 4502, 519, 1981, 540, 9561, 513, 2603, 540, 2724, 8044, 602, 519, 3014, 568, 811, 6209, 952, 621, 2337, 513, 1434, 2014, 982, 513, 1507, 7443, 563, 5445, 5000, 3743, 13989, 454, 5278, 2950, 616, 3843, 547, 10238, 527, 13989, 538, 741, 1858, 269, 3509, 4250, 602, 13989, 786, 5000, 22178, 1465, 267, 6469, 5208, 267, 543, 17403, 1851, 31655, 269, 1677, 8396, 713, 267, 789, 616, 28409, 31655, 547, 1491, 909, 11327, 2238, 3079, 540, 13989, 269, 2290, 28643, 693, 606, 22176, 23336, 784, 5026, 25919, 10661, 267, 12448, 29142, 19789, 267, 24016, 7264, 547, 2259, 3743, 13989, 269, 634, 8664, 10324, 568, 4867, 17265, 519, 11556, 543, 1058, 1118, 513, 3375, 4166, 269, 1358, 4126, 547, 7333, 13989, 538, 519, 22176, 23336, 784, 1858, 676, 519, 1439, 540, 519, 1032, 563, 25215, 976, 1043, 13989, 3292, 1445, 593, 7303, 1966, 5615, 971, 607, 7050, 25919, 543, 13989, 609, 2724, 835, 666, 1406, 6488, 547, 6336, 269, 3509, 3743, 11080, 7270, 723, 2085, 7182, 269, 634, 5934, 2085, 568, 476, 1240, 585, 930, 22875, 267, 1247, 1866, 2154, 513, 476, 2641, 4458, 6040, 5934, 269, 589, 18019, 3135, 786, 2022, 2085, 9993, 865, 602, 621, 3085, 1406, 26453, 582, 720, 519, 2729, 540, 1004, 945, 616, 711, 3743, 2614, 547, 914, 593, 3756, 269, 1358, 849, 2709, 2081, 585, 29123, 547, 1305, 25919, 7182, 269, 0, 1103, 519, 3059, 2085, 267, 1141, 3388, 4667, 547, 581, 3001, 2509, 519, 6531, 267, 5691, 1436, 814, 7153, 607, 513, 2629, 2029, 602, 6087, 4213, 547, 11126, 741, 8668, 5989, 543, 1118, 519, 1034, 856, 540, 741, 7384, 2200, 269, 1809, 1018, 4010, 568, 5691, 1436, 286, 1656, 875, 1281, 621, 960, 888, 29919, 1436, 666, 581, 3989, 607, 519, 1184, 540, 2870, 5691, 8747, 540, 1585, 2780, 2200, 267, 971, 607, 13763, 267, 4859, 3457, 267, 5665, 1949, 267, 610, 5121, 269, 898, 2636, 2789, 5665, 1949, 543, 3156, 547, 2196, 593, 513, 2582, 2168, 3684, 8195, 267, 7551, 21924, 519, 13345, 540, 8800, 2200, 269, 2311, 519, 4295, 540, 5691, 1436, 568, 513, 3301, 4494, 1572, 519, 5409, 6665, 528, 610, 5691, 3684, 6895, 630, 309 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 3815, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 692, 26476, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 692, 2162, 476, 273, 4555, 593, 968, 26476, 1047, 519, 4082, 1535, 586, 1990, 18750, 4009, 1341, 476, 277, 1990, 268, 476, 1626, 264, 5258, 476, 273, 962, 630, 313, 1107, 476, 273, 264, 25991, 10640, 296, 4126, 621, 568, 5363, 547, 596, 543, 1866, 269, 7490, 1665, 803, 607, 2634, 2993, 770, 780, 3721, 8386, 9912, 7778, 1384, 284, 27976, 345, 630, 1990, 317, 273, 1341, 476, 277, 345, 1107, 476, 1626, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 630, 1990, 317, 273, 1341, 476, 279, 345, 1107, 476, 273, 345, 1107, 476, 1626, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 1496, 1990, 630, 1990, 1341, 476, 279, 3738, 1107, 476, 273, 630, 1990, 1341, 476, 279, 3738, 476, 6540, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 630, 1990, 1107, 476, 273, 3738, 630, 1990, 1341, 476, 279, 25589, 273, 344, 630, 1990, 1107, 476, 273, 25589, 284, 27976, 345, 630, 1990, 1341, 476, 279, 25589, 273, 344, 692, 284, 1535, 6398, 586, 6398, 1990, 630, 1990, 1341, 476, 279, 25589, 273, 6398, 586, 692, 284, 27976, 630, 1990, 1341, 476, 279, 25589, 273, 0, 258, 4569, 948, 609, 3268, 692, 13043, 948, 609, 3268, 666, 581, 1336, 2228, 610, 538, 6310, 9499, 269, 1284, 786, 849, 1413, 693, 930, 1383, 2042, 543, 875, 547, 1935, 873, 780, 1012, 634, 7454, 4569, 948, 609, 3268, 692, 1607, 4569, 948, 609, 3268, 2488, 1900, 8386, 9912, 5528, 585, 6061, 782, 2979, 2042, 269, 9978, 6128, 568, 519, 1353, 540, 6310, 4238, 543, 741, 3601, 269, 634, 1445, 540, 713, 7936, 540, 6128, 568, 593, 1840, 267, 12408, 267, 8691, 267, 543, 6498, 269, 1452, 4238, 616, 519, 5748, 585, 782, 824, 2010, 540, 2979, 267, 1519, 7223, 267, 9511, 267, 543, 29890, 269, 769, 1840, 547, 4974, 875, 891, 4238, 960, 267, 1053, 849, 1451, 875, 547, 4194, 4834, 543, 875, 547, 946, 2596, 2035, 540, 9511, 543, 29890, 269, 9978, 6128, 568, 606, 1898, 851, 540, 1169, 2875, 781, 2069, 267, 543, 621, 2488, 513, 2178, 5748, 585, 2417, 1353, 538, 2979, 780, 291, 558, 664, 543, 2039, 616, 1079, 1271, 2035, 538, 6128, 269, 23792, 4016, 547, 519, 1305, 540, 782, 2009, 3403, 2418, 585, 513, 1599, 267, 1247, 2039, 4016, 547, 519, 1305, 540, 782, 2009, 3977, 2418, 269, 5637, 2035, 666, 581, 2352, 547, 9787, 267, 855, 972, 616, 513, 1906, 2241, 3268, 602, 666, 948, 269, 3689, 267, 621, 568, 1271, 547, 1174, 1018, 11378, 543, 17016, 616, 269, 18452, 338, 616, 519, 2418, 602, 616, 10480, 883, 513, 1599, 267, 1247, 17016, 616, 519, 2418, 602, 519, 1599, 7472, 269, 4495, 713, 568, 6956, 267, 621, 568, 9425, 2653, 547, 2697, 519, 6389, 543, 2039, 540, 513, 2016, 1599, 269, 1677, 798, 713, 267, 3274, 1592, 782, 540, 519, 2009, 3403, 2418, 543, 1287, 2697, 519, 7222, 3977, 2418, 269, 769, 930, 2665, 267, 621, 949, 849, 581, 5363, 547, 3113, 519, 1599, 547, 14650, 519, 2078, 1063, 11378, 543, 17016, 269, 1635, 1620, 891, 2596, 2035, 267, 621, 568, 2009, 547, 4194, 6389, 543, 2039, 2042, 609, 8897, 780, 288, 32568, 3830, 24626, 568, 513, 6310, 1907, 602, 2636, 596, 547, 4194, 4834, 5473, 17969, 916, 269, 901, 1826, 540, 3830, 1419, 14340, 538, 4610, 971, 607, 6323, 543, 4702, 267, 1141, 12825, 3252, 616, 4122, 1031, 269, 634, 32568, 3830, 24626, 666, 581, 1031, 547, 1265, 519, 1871, 540, 1535, 585, 1022, 2016, 1871, 540, 586, 269, 1280, 1383, 267, 952, 596, 917, 602, 586, 815, 8421, 3287, 1070, 596, 666, 946, 519, 32568, 3830, 24626, 547, 1265, 519, 1871, 540, 1535, 602, 14687, 547, 586, 269, 901, 666, 581, 3730, 538, 3871, 1141, 596, 991, 547, 4194, 606, 3830, 855, 798, 711, 723, 1569, 547, 513, 9498, 610, 824, 2645, 602, 1131, 1450, 596, 547, 1685, 519, 2556, 9273, 269, 634, 32568, 3830, 24626, 666, 849, 581, 1031, 547, 2638, 707, 960, 950, 6061, 4834, 676, 1688, 269, 769, 2489, 267, 519, 32568, 3830, 24626, 568, 513, 3407, 1907, 585, 4896, 945, 2115, 547, 960, 609, 17969, 916, 593, 513, 2834, 4493, 780, 15542, 528, 26732, 616, 513, 1390, 1907, 585, 4896, 945, 6499, 547, 3533, 4137, 856, 519, 2188, 540, 513, 1297, 269, 4014, 972, 616, 1585, 2081, 547, 5173, 2188, 267, 513, 3815, 9498, 666, 581, 2523, 5363, 952, 596, 2811, 2324, 609, 1804, 2338, 610, 952, 596, 991, 547, 1265, 782, 540, 519, 2188, 540, 513, 1297, 269, 13575, 267, 596, 3274, 4283, 519, 1297, 602, 596, 1616, 547, 3815, 883, 519, 9498, 543, 1287, 5734, 519, 834, 20412, 622, 257, 7735, 269, 634, 9498, 786, 1287, 4159, 782, 540, 519, 2188, 540, 602, 1297, 269, 769, 1840, 267, 930, 3815, 26732, 786, 849, 1397, 596, 1022, 6305, 2188, 602, 949, 581, 1459, 269, 16748, 26732, 666, 581, 1336, 2228, 610, 538, 930, 2979, 9499, 780, 763, 1034, 1455, 1826, 540, 1599, 568, 519, 5276, 1599, 269, 589, 5276, 1599, 568, 513, 1599, 538, 799, 519, 3403, 543, 3977, 616, 1644, 676, 513, 2786, 1899, 269, 5441, 7223, 568, 519, 1353, 540, 5276, 3252, 543, 741, 3601, 269, 898, 27180, 875, 891, 3252, 666, 581, 1031, 547, 2203, 1483, 8996, 3871, 269, 769, 1840, 267, 2852, 7223, 849, 6227, 3584, 971, 607, 24275, 267, 6061, 4834, 267, 543, 22392, 15821, 7215, 269, 1306, 513, 1267, 267, 2852, 7223, 568, 606, 1271, 1576, 585, 1022, 2875, 945, 4566, 593, 13197, 513, 4876, 538, 6128, 610, 1776, 2361, 602, 3096, 6128, 780, 1012, 1284, 4194, 782, 2010, 540, 2979, 2042, 692, 527, 2731, 2337, 950, 596, 1810, 1405, 1174, 1018, 596, 2811, 3257, 269, 594, 8385, 3893, 621, 547, 798, 1250, 6780, 3533, 267, 855, 607, 519, 2979, 693, 1153, 3893, 9875, 267, 519, 813, 2968, 811, 540, 513, 1234, 12329, 543, 1447, 540, 513, 2656, 4368, 454, 12914, 822, 807, 24806, 454, 296, 2731, 899, 875, 519, 813, 2636, 596, 547, 10544, 2042, 609, 519, 8254, 267, 12575, 873, 267, 610, 1175, 1826, 873, 538, 1279, 1688, 269, 898, 849, 2982, 519, 1184, 585, 3435, 267, 4543, 803, 3314, 875, 547, 948, 1250, 8250, 269, 4279, 6310, 813, 2336, 298, 320, 13704, 23045, 2006, 454, 15612, 1807, 813, 4647, 9978, 7223, 2042, 543, 4267, 4569, 2243, 948, 1863, 5681, 332, 566, 540, 4994, 539, 1239, 24626, 9119, 813, 0, 258, 952, 14870, 1922, 2350, 268, 272, 14870, 268, 275, 2389, 1156, 14870, 268, 275, 1922, 2350, 268, 272, 14870, 268, 275, 268, 5002, 268, 3422, 692, 12749, 13292, 454, 304, 272, 563, 304, 273, 563, 314, 7562, 273, 263, 280, 11027, 279, 21147, 275, 264, 7562, 273, 263, 278, 11027, 279, 21147, 275, 13580, 11459, 454, 304, 274, 563, 2252, 1269, 343, 10954, 2765, 346, 272, 2410, 343, 4151, 815, 476, 275, 267, 1287, 20270, 343, 8703, 275, 23180, 2765, 346, 272, 2410, 346, 343, 8703, 275, 3686, 284, 6911, 5416, 264, 476, 3422, 692, 6357, 264, 476, 3707, 692, 6262, 264, 476, 4572, 692, 5560, 264, 476, 5002, 454, 304, 275, 563, 2252, 1535, 266, 272, 343, 284, 277, 267, 1287, 519, 1871, 540, 630, 343, 275, 866, 271, 266, 272, 343, 275, 264, 568, 454, 304, 276, 563, 2252, 594, 284, 21854, 343, 275, 11459, 267, 1287, 594, 11224, 0, 258, 476, 1015, 3584, 2433, 875, 1082, 2395, 2394, 694, 4697, 476, 3066, 26042, 31948, 713, 2022, 454, 11073, 1467, 1384, 296, 269, 4985, 454, 1700, 19247, 540, 519, 2956, 540, 6616, 875, 1082, 2395, 2394, 5181, 476, 3066, 454, 1700, 16684, 7650, 540, 519, 2376, 779, 1543, 692, 2862, 269, 1215, 547, 12433, 519, 7089, 540, 17963, 19402, 5181, 476, 3066, 454, 1700, 19247, 540, 519, 4542, 585, 12719, 519, 1297, 540, 2395, 1063, 1079, 7389, 454, 1700, 5153, 8386, 9912, 3391, 593, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 692, 7656, 269, 4208, 5181, 476, 3066, 568, 31056, 454, 1700, 8466, 2621, 602, 7018, 593, 5181, 476, 3066, 454, 1700, 8836, 543, 3909, 4644, 540, 5181, 476, 3066, 692, 4353, 269, 12020, 585, 5181, 476, 3066, 454, 1700, 21909, 687, 585, 875, 547, 8661, 610, 29428, 5181, 476, 3066, 454, 1700, 9669, 585, 4058, 2621, 610, 2238, 3056, 909, 547, 5181, 476, 3066, 692, 309, 269, 10390, 454, 1700, 1234, 5115, 540, 519, 2956, 540, 6616, 875, 1082, 2395, 2394, 5181, 476, 3066, 454, 1700, 15937, 4555, 543, 7840, 692, 17359, 12474, 1384, 296, 269, 4985, 692, 31535, 875, 1082, 2395, 2394, 5181, 476, 3066, 568, 1271, 585, 513, 3099, 540, 4128, 269, 6787, 596, 2461, 4058, 513, 2027, 2680, 267, 10203, 1524, 547, 513, 1713, 4266, 267, 610, 3274, 8049, 827, 519, 8574, 540, 942, 267, 1620, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 666, 581, 513, 3730, 5578, 269, 769, 713, 2376, 267, 649, 3580, 2263, 875, 547, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 267, 1946, 5181, 476, 3066, 568, 1713, 267, 543, 875, 547, 1544, 585, 713, 1271, 4266, 780, 2862, 269, 1215, 547, 12433, 519, 7089, 540, 17963, 19402, 5181, 476, 3066, 692, 15612, 908, 519, 1297, 540, 2395, 1063, 1079, 7389, 568, 513, 2241, 1184, 602, 3322, 18946, 519, 4505, 4266, 689, 519, 2663, 4266, 269, 1677, 5173, 519, 1297, 540, 2395, 2394, 5181, 476, 3066, 267, 649, 3580, 991, 547, 917, 519, 1699, 4266, 543, 519, 4266, 649, 2461, 10203, 1524, 547, 780, 2690, 1383, 267, 952, 2221, 568, 4864, 476, 272, 267, 476, 1708, 272, 267, 543, 649, 1616, 547, 917, 875, 1082, 2395, 2394, 5181, 476, 3066, 267, 476, 1708, 272, 267, 649, 1131, 1246, 891, 3268, 1384, 272, 269, 14419, 519, 1297, 540, 2395, 538, 4864, 281, 476, 4029, 454, 273, 269, 14419, 519, 1297, 540, 2395, 538, 5181, 909, 547, 5181, 476, 3066, 281, 476, 2764, 454, 274, 269, 5410, 519, 1297, 540, 2395, 538, 4864, 543, 5181, 909, 547, 5181, 476, 3066, 281, 476, 4029, 1341, 476, 2764, 815, 476, 6795, 454, 275, 269, 16265, 847, 519, 1699, 4266, 630, 20606, 476, 272, 264, 689, 519, 2698, 1297, 540, 2395, 281, 476, 6795, 1107, 476, 272, 815, 476, 6812, 692, 11997, 267, 972, 616, 476, 6812, 2395, 2394, 5181, 476, 3066, 267, 476, 1708, 272, 780, 7656, 269, 4208, 5181, 476, 3066, 568, 31056, 692, 20826, 476, 3066, 568, 513, 1713, 4266, 585, 513, 3099, 540, 4128, 269, 25214, 267, 1082, 1271, 2621, 723, 7018, 593, 713, 4266, 267, 1519, 519, 19142, 540, 519, 15521, 540, 12411, 320, 14792, 538, 476, 4489, 279, 267, 799, 8694, 2622, 2782, 594, 267, 543, 519, 10131, 540, 519, 1101, 1977, 9682, 267, 25817, 476, 272, 267, 538, 476, 4198, 279, 780, 1103, 1840, 547, 922, 3140, 4644, 267, 5181, 476, 3066, 568, 849, 606, 1271, 4266, 538, 1082, 4529, 543, 10764, 269, 1280, 1383, 267, 538, 519, 4168, 5132, 267, 5181, 476, 3066, 568, 519, 21649, 1554, 540, 12142, 7812, 543, 2353, 4911, 1564, 267, 1247, 538, 519, 6014, 5132, 267, 621, 568, 519, 9702, 540, 962, 558, 918, 2089, 584, 267, 519, 4303, 540, 2311, 821, 618, 780, 4353, 269, 12020, 585, 5181, 476, 3066, 692, 2252, 596, 2461, 3168, 547, 8661, 610, 29428, 5181, 476, 3066, 267, 972, 616, 1082, 2081, 547, 798, 865, 269, 13689, 593, 707, 4690, 543, 7375, 267, 596, 1522, 2015, 1384, 1700, 21118, 532, 513, 5428, 610, 11018, 609, 2828, 543, 1920, 454, 1700, 12020, 513, 2027, 856, 532, 610, 2534, 267, 971, 607, 513, 30382, 610, 9754, 3643, 454, 1700, 21816, 324, 1359, 610, 1810, 908, 547, 513, 17493, 610, 2014, 602, 568, 6209, 547, 596, 454, 1700, 9866, 6326, 513, 3909, 610, 2686, 2245, 2404, 609, 5181, 476, 3066, 692, 1103, 1840, 547, 4058, 585, 519, 1554, 3294, 267, 596, 1522, 849, 2015, 2081, 547, 1628, 10761, 543, 24736, 3056, 909, 547, 5181, 476, 3066, 269, 1280, 1383, 267, 596, 1223, 1711, 513, 1293, 6658, 11706, 610, 1544, 513, 3126, 540, 4130, 2621, 610 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3310, 890, 22701, 998, 741, 10051, 9486, 1070, 3819, 17529, 12081, 18678, 563, 3719, 620, 553, 256, 1284, 1590, 333, 1406, 1450, 6000, 547, 581, 26531, 676, 891, 17529, 1022, 2417, 282, 938, 1445, 6013, 9003, 593, 741, 28430, 2078, 609, 3819, 11680, 2336, 291, 5519, 560, 4328, 16959, 595, 5725, 454, 3086, 602, 649, 723, 31235, 6000, 609, 17529, 607, 17710, 540, 519, 5277, 7706, 267, 621, 779, 942, 547, 2490, 938, 3007, 547, 3819, 11680, 269, 1924, 267, 1018, 4010, 568, 513, 3819, 7484, 267, 543, 875, 1281, 621, 8428, 689, 922, 5277, 11218, 286, 4270, 267, 519, 11984, 1063, 891, 1079, 2010, 540, 11680, 6013, 538, 741, 3483, 563, 13914, 827, 950, 596, 991, 547, 2268, 1945, 602, 3085, 1406, 2095, 899, 513, 5757, 610, 21383, 899, 1216, 1107, 5820, 971, 607, 7912, 610, 4006, 269, 1280, 713, 1360, 2601, 267, 649, 723, 3819, 7893, 11680, 267, 799, 1450, 721, 547, 1085, 17274, 543, 1377, 1055, 891, 9583, 3765, 2151, 31773, 3819, 5820, 563, 19950, 5944, 2614, 267, 1312, 5277, 543, 3819, 11680, 3180, 519, 1482, 4320, 855, 4196, 1114, 3252, 269, 1656, 1631, 602, 649, 917, 1141, 938, 1445, 6013, 1577, 779, 12260, 519, 7503, 9814, 2336, 4462, 24286, 519, 23586, 454, 1607, 568, 1141, 1919, 1376, 3478, 5963, 10578, 256, 15579, 5196, 707, 3284, 1258, 12673, 1317, 835, 20645, 3568, 476, 1240, 269, 476, 277, 1240, 28307, 5392, 278, 3819, 11680, 256, 8786, 267, 596, 1224, 602, 1318, 1107, 606, 4608, 15967, 1297, 12617, 1369, 782, 1346, 10424, 17529, 2336, 2414, 2322, 621, 883, 5133, 267, 4952, 17596, 476, 1015, 17529, 540, 7912, 585, 513, 7372, 11256, 3063, 341, 12298, 5633, 269, 22034, 930, 2790, 9819, 23258, 610, 3274, 17874, 713, 2376, 630, 7224, 17847, 538, 621, 256, 1070, 596, 1131, 3605, 602, 596, 2154, 5111, 476, 5908, 269, 476, 8146, 4649, 275, 9032, 3819, 11680, 540, 7912, 1107, 3833, 513, 29990, 24050, 8197, 2336, 3719, 1946, 3247, 972, 286, 2913, 779, 2263, 875, 713, 7503, 6585, 909, 585, 824, 2442, 5820, 912, 268, 21081, 4327, 17491, 281, 27051, 476, 3607, 269, 476, 278, 6246, 275, 1704, 279, 3819, 11680, 538, 835, 20645, 454, 268, 17865, 281, 589, 6071, 32521, 896, 476, 6812, 269, 476, 276, 5780, 5392, 275, 275, 3819, 11680, 829, 20645, 454, 3674, 333, 1406, 621, 2247, 1532, 17344, 1782, 2921, 891, 4948, 5820, 689, 23188, 7403, 547, 575, 1173, 656, 10224, 17114, 888, 7883, 532, 15332, 1107, 14168, 28881, 4569, 31981, 454, 3086, 602, 649, 4076, 29618, 1930, 713, 6456, 14951, 7708, 557, 540, 24740, 1577, 721, 2417, 16491, 6000, 609, 930, 1898, 10051, 2979, 11580, 256, 4197, 2596, 12753, 2636, 721, 547, 4336, 10346, 2687, 547, 938, 13821, 267, 1818, 5986, 606, 1148, 1106, 9141, 676, 2123, 7375, 563, 268, 2480, 2718, 5455, 610, 13560, 454, 268, 10261, 1447, 982, 513, 20645, 286, 19147, 519, 1297, 540, 3819, 11680, 676, 476, 1240, 269, 476, 277, 547, 16756, 707, 11477, 17050, 563, 5327, 3931, 606, 1256, 8273, 16801, 286, 15439, 9062, 2476, 2336, 763, 5295, 540, 1160, 1636, 687, 454, 2108, 290, 8504, 568, 899, 2648, 282, 621, 1058, 581, 9411, 883, 609, 10205, 610, 711, 693, 782, 269, 9232, 1107, 4498, 28625, 11709, 9710, 928, 454, 8855, 713, 8797, 10839, 607, 596, 2263, 519, 7706, 540, 17114, 538, 5986, 256, 3767, 602, 596, 917, 875, 1082, 3819, 11680, 616, 538, 513, 20645, 267, 596, 666, 4019, 713, 1702, 547, 1585, 7403, 563, 5804, 623, 2432, 547, 595, 5725, 454, 289, 1136, 1419, 3340, 14291, 7403, 689, 6550, 630, 335, 1087, 560, 269, 1547, 1547, 30971, 10217, 13365, 264, 547, 11680, 630, 31435, 7893, 838, 9398, 1040, 3962, 12146, 814, 922, 1378, 2189, 5860, 267, 865, 5077, 2228, 7503, 12125, 585, 6111, 2059, 609, 707, 16012, 7503, 23258, 563, 299, 1172, 1749, 543, 29079, 744, 684, 806, 454, 308, 2955, 2406, 267, 15559, 723, 741, 1378, 1305, 540, 3652, 950, 621, 2501, 547, 4320, 7403, 269, 589, 5277, 20645, 5161, 540, 5111, 476, 1626, 5277, 11680, 1107, 3833, 1114, 689, 938, 3819, 7484, 6602, 2336, 2304, 16869, 538, 5272, 28881, 454, 16352, 19586, 539, 519, 5667, 9407, 9814, 3297, 12423, 875, 1082, 3819, 11680, 6445, 513, 20645, 267, 596, 1631, 4865, 513, 5728, 1883, 799, 796, 331, 4169, 9118, 10346, 543, 11477, 9035, 256, 14190, 3054, 547, 11240, 538, 10051, 24740, 1510, 1373, 4371, 1394, 676, 10539, 610, 11688, 2787, 563, 3383, 979, 8521, 267, 11439, 609, 707, 3972, 344, 7893, 11680, 543, 713, 16012, 7326, 256, 22737, 17634, 543, 18390, 2490, 1022, 11600, 883, 707, 1360, 1378, 20100, 269, 1133, 548, 1662, 519, 6418, 27697, 1369, 607, 596, 20630, 1169, 7594, 3341, 543, 4734, 707, 6068, 3283, 14952, 532, 693, 519, 11477, 1642, 2074, 1178, 1424, 741, 10824, 2336, 5319, 2809, 713, 3460, 998, 6482, 9059, 267, 1141, 30196, 835, 679, 7950, 5012, 721, 6251, 547, 26500, 1866, 6456, 9944, 7912, 268, 706, 23264, 24203, 976, 543, 11308, 838, 9398, 585, 3022, 676, 942, 3294, 256, 2913, 721, 8661, 1927, 607, 649, 7832, 593, 519, 2619, 547, 4742, 3020, 10051, 7503, 4966, 2336, 10527, 1152, 1483, 588, 22824, 3625, 568, 4250, 540, 5821, 269, 769, 5986, 267, 596, 4076, 3893, 547, 723, 513, 2048, 6343, 7308, 13463, 961, 685, 10182, 269, 9232, 1107, 27813, 4132, 454, 304, 281, 1215, 666, 594, 6460, 17529, 547, 3819, 11680, 888, 288, 281, 1677, 6460, 17529, 547, 3819, 11680, 267, 596, 991, 547, 917, 602, 972, 616, 476, 1240, 269, 476, 277, 1240, 275, 3819, 11680, 538, 513, 20645, 563, 304, 281, 1548, 568, 519, 7503, 3815, 689, 17529, 547, 3819, 11680, 888, 288, 281, 634, 7503, 3815, 689, 17529, 547, 3819, 11680, 568, 5111, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 2052, 596, 948, 803, 1265, 856, 875, 1082, 3819, 11680, 616, 972, 538, 513, 20645, 888, 288, 281, 17610, 256, 1703, 616, 1472, 476, 1240, 269, 476, 277, 1240, 275, 3819, 11680, 538, 835, 20645, 563, 304, 281, 1772, 972, 513, 1808, 4542, 585, 14291, 17529, 547, 3819, 11680, 888, 288, 281, 8786, 267, 519, 4542, 585, 14291, 17529, 547, 3819, 11680, 568, 14921, 519, 1297, 540, 17529, 676, 5111, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 594, 6557, 3843, 547, 1174, 875, 1082, 3819, 11680, 972, 616, 538, 513, 20645, 269, 2052, 596, 1683, 930, 5813, 888, 288, 281, 15742, 569, 256, 769, 1931, 547, 3313, 519, 7274, 540, 3819, 11680, 538, 513, 20645, 267, 596, 1131, 9062, 519, 1297, 540, 17529, 676, 10199, 476, 1240, 269, 476, 277, 1240, 275, 563, 304, 281, 3657, 972, 1114, 7503, 3928, 585, 1114, 2010, 540, 7484, 7403, 950, 14291, 689, 17529, 888, 288, 281, 3143, 267, 950, 14291, 689, 17529, 267, 519, 3044, 7503, 2557, 3788, 3586, 693, 1472, 476, 1240, 269, 476, 277, 1240, 275, 7488, 540, 519, 1826, 610, 2450, 540, 7484, 6482, 1031, 563, 304, 630, 31742, 5346, 2567, 1772, 621, 2009, 585, 519, 7503, 2557, 1063, 17529, 543, 3819, 11680, 547, 4268, 5594, 4470, 593, 824, 2188, 888, 288, 630, 31742, 5346, 2567, 3143, 267, 3622, 6340, 267, 519, 16977, 1871, 540, 476, 1240, 269, 476, 277, 1240, 275, 6585, 3020, 2066, 1034, 7653, 950, 14291, 1063, 12531, 6027, 538, 17529, 543, 7222, 12531, 6027, 538, 3819, 11680, 454, 763, 3642, 814, 1044, 25009, 711, 4734, 1022, 29066, 799, 1797, 621, 3112, 1569, 1022, 3406, 2599, 610, 5007, 1239, 2707, 3564, 1018, 621, 814, 1044, 8036, 593, 543, 1281, 711, 723, 1991, 1702, 827, 968, 4462, 24286, 519, 23586, 25491, 9731, 20756, 972, 267, 594, 6557, 667, 2033, 14105, 24335, 267, 543, 594, 6557, 782, 827, 4687, 4241, 1702, 267, 3377, 267, 543, 3905, 3584, 269, 594, 6557, 13730, 827, 1565, 543, 723, 513, 5679, 871, 585, 28976, 1950, 2093, 269, 2913, 779, 2263, 1927, 2336, 268, 16473, 15604, 654, 3996, 281, 11162, 28066, 1562, 1354, 519, 12019, 2336, 268, 1548, 568, 513, 5739, 2890, 6716, 1143, 888, 268, 1548, 2829, 723, 519, 21098, 532, 17079, 888, 268, 1955, 476, 3451, 4374, 9176, 543, 1250, 4816, 568, 23222, 577, 888, 268, 18984, 1516, 3752, 334, 281, 5020, 607, 513, 700, 821, 569, 17266, 16474, 454, 268, 1879, 547, 2638, 512, 3333, 1310, 4358, 5348, 628, 5514, 888, 268, 13028, 519, 31597, 6651, 281, 1215, 547, 1744, 17532, 513, 9931, 888, 268, 1548, 568, 26388, 17552, 565, 3729, 1031, 585, 888, 268, 1548, 1281, 27514, 8324, 798, 585, 707, 4552, 888, 268, 1215, 547, 1521, 14711, 14331, 286, 0, 24082, 21850, 21822, 5456, 9970, 1299, 589, 2793, 14877, 23154, 700, 5723, 454, 288, 6355, 11106, 543, 24630, 630, 10292, 26031, 264, 6997, 568, 513, 7463, 9744, 1369, 606, 3919, 610, 3872, 9872, 602, 568, 6131, 547, 3384, 543, 9001, 4359, 1239, 12642, 2645, 543, 2553, 547, 2744, 4030, 543, 1118, 1239, 12454, 3664, 563, 763, 2978, 3335, 2882, 8800, 543, 3301, 2200, 585, 1239, 11601, 267, 1239, 4859, 267, 1239, 4393, 267, 543, 1239, 14839, 269, 898, 949, 849, 723, 513, 2319, 540, 1239, 3744, 267, 1870, 19767, 267, 543, 824, 4966, 945, 616, 3743, 585, 10647, 1382, 267, 3384, 3631, 267, 543, 10451, 4030, 1210, 4359, 1239, 12642, 2553, 971, 607, 3684, 1565, 267, 1239, 5599, 267, 16762, 12642, 267, 543, 2067, 1893, 4393, 563, 1103, 3872, 5238, 267, 513, 19739, 26031, 2978, 2488, 1053, 609, 3946, 6823, 1995, 538, 1210, 4359, 1239, 12642, 2645, 543, 2553, 267, 7175, 873, 547, 1020, 2872, 268, 2819, 1983, 538, 2127, 971, 607, 1239, 2359, 267, 1239, 2079, 267, 1239, 14839, 267, 543, 1239, 7664, 269, 634, 2978, 666, 849, 581, 1031, 547, 2932, 1382, 543, 5647, 267, 3056, 547, 519, 1646, 540, 1007, 4485, 543, 3435, 538, 1585, 4610, 267, 1519, 3782, 267, 8804, 267, 543, 6725, 563, 14454, 267, 513, 19739, 26031, 2978, 2488, 3906, 543, 3872, 5238, 609, 513, 3532, 1907, 585, 11543, 4030, 689, 1239, 267, 1818, 1239, 12454, 3664, 267, 543, 9363, 8013, 538, 2221, 781, 1239, 12454, 1158, 563, 15307, 629, 7667, 513, 6355, 11106, 543, 24630, 630, 10292, 26031, 264, 2978, 538, 2362, 2069, 32112, 814, 1896, 1713, 2640, 912, 26670, 3496, 1053, 262, 1565, 1995, 281, 589, 19739, 26031, 2978, 2488, 1053, 609, 3946, 6823, 1995, 538, 1210, 4359, 1239, 12642, 2645, 543, 2553, 267, 799, 666, 3986, 741, 1565, 1995, 543, 16491, 873, 609, 519, 1983, 789, 991, 547, 8011, 538, 519, 2816, 2344, 563, 29753, 2872, 268, 2819, 1983, 281, 1306, 4213, 5051, 7048, 593, 1239, 12454, 3375, 6194, 267, 19739, 26031, 1983, 616, 538, 1164, 3747, 538, 1082, 6080, 269, 589, 19739, 26031, 2978, 666, 948, 1053, 1020, 1983, 602, 616, 4143, 547, 519, 2115, 540, 4213, 267, 1818, 873, 811, 10694, 547, 1761, 12820, 563, 21886, 15758, 1382, 543, 5647, 281, 19739, 26031, 22475, 666, 581, 1031, 547, 2932, 1382, 593, 3584, 971, 607, 1239, 5599, 267, 16762, 12642, 267, 543, 3684, 1565, 267, 3056, 547, 5499, 3435, 602, 666, 4324, 1585, 4610, 267, 1519, 3782, 267, 8804, 267, 543, 6725, 563, 18719, 1324, 12250, 7145, 281, 19739, 26031, 666, 948, 2362, 2069, 5238, 2445, 543, 5659, 1239, 593, 1585, 3344, 540, 741, 4238, 267, 971, 607, 2875, 27350, 267, 12802, 267, 543, 22692, 3928, 267, 547, 2697, 2127, 585, 6454, 543, 1118, 1239, 12454, 3664, 563, 1805, 21880, 28517, 12352, 609, 2872, 281, 26787, 513, 19739, 26031, 2978, 666, 1711, 3255, 585, 12352, 609, 4213, 267, 3056, 547, 22631, 4721, 267, 1382, 21769, 267, 543, 824, 20102, 6225, 12352, 563, 14454, 267, 9591, 513, 19739, 26031, 2978, 538, 2362, 2069, 32112, 666, 4324, 1053, 267, 12200, 267, 5238, 267, 543, 2872, 4891, 676, 3246, 3255, 585, 1565, 267, 1382, 267, 5647, 267, 543, 5698, 269, 0, 763, 2229, 4566, 547, 15974, 2596, 3652, 585, 519, 1382, 543, 1646, 540, 5841, 4987, 693, 513, 6828, 540, 18599, 5870, 540, 26110, 538, 5279, 540, 1344, 543, 2792, 2029, 2663, 713, 3923, 267, 2959, 1767, 11016, 563, 763, 19424, 539, 11556, 568, 4397, 547, 3343, 519, 10661, 540, 5216, 3741, 267, 1519, 519, 2956, 540, 18245, 1480, 15683, 543, 7863, 7834, 950, 3384, 2780, 2257, 602, 3947, 6191, 1480, 3697, 4987, 563, 1103, 4156, 16457, 543, 18058, 10579, 5842, 2801, 570, 10440, 24734, 568, 4397, 547, 1459, 519, 5216, 3741, 693, 519, 1079, 6377, 717, 268, 278, 5870, 4358, 593, 4989, 476, 3066, 538, 28635, 600, 1846, 340, 267, 918, 698, 11867, 2776, 2739 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 12968, 832, 10789, 476, 273, 281, 7010, 540, 476, 273, 12430, 12307, 692, 1892, 4147, 281, 12968, 832, 10789, 476, 273, 454, 1892, 8191, 281, 8834, 25304, 454, 1892, 7956, 281, 10789, 543, 26344, 5852, 281, 12856, 543, 6396, 267, 9466, 692, 15612, 1807, 15765, 267, 855, 1152, 585, 12980, 267, 8259, 6382, 9138, 563, 272, 269, 16534, 1210, 519, 24275, 10626, 593, 707, 9498, 269, 8382, 547, 519, 14282, 8536, 628, 26142, 6234, 1422, 8218, 9387, 15857, 28363, 6912, 346, 273, 348, 1422, 10383, 1535, 1341, 1422, 6912, 346, 274, 348, 1422, 10383, 586, 17851, 910, 275, 8607, 1422, 7032, 1535, 910, 476, 1724, 344, 17851, 1422, 6912, 346, 1015, 348, 1422, 754, 9387, 265, 8679, 273, 269, 8827, 630, 274, 269, 6795, 275, 267, 476, 271, 269, 27698, 994, 274, 269, 16534, 1210, 18839, 26142, 6234, 1422, 8218, 9387, 15857, 476, 277, 343, 910, 476, 276, 344, 17851, 476, 279, 8607, 1535, 910, 476, 273, 344, 17851, 910, 272, 1422, 754, 9387, 265, 8679, 275, 269, 8827, 630, 274, 267, 476, 273, 994, 276, 269, 16534, 676, 5276, 10659, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 12757, 2410, 273, 348, 1341, 1422, 2765, 26635, 2410, 275, 348, 17851, 1422, 2765, 346, 272, 2410, 275, 348, 8607, 1422, 2765, 346, 276, 343, 2410, 273, 348, 1341, 586, 17851, 476, 273, 1422, 754, 9387, 265, 8679, 277, 269, 8827, 630, 273, 267, 910, 274, 994, 278, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 346, 273, 343, 2410, 274, 348, 1341, 1422, 2765, 346, 274, 344, 2410, 276, 348, 17851, 476, 272, 8607, 1535, 910, 1422, 2765, 346, 274, 2410, 273, 348, 17851, 28363, 2765, 346, 280, 344, 2410, 1015, 348, 1422, 754, 9387, 265, 8679, 279, 269, 8827, 667, 8817, 454, 280, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 1422, 2765, 346, 276, 343, 1341, 476, 274, 344, 2410, 273, 348, 17851, 476, 273, 343, 910, 476, 274, 8607, 476, 276, 12169, 910, 1535, 264, 17851, 476, 1691, 344, 1422, 754, 9387, 265, 8679, 1015, 269, 8827, 630, 280, 267, 910, 276, 994, 1556, 269, 16534, 676, 1022, 1505, 26142, 6234, 1422, 8218, 9387, 15857, 476, 275, 343, 1341, 476, 273, 344, 17851, 476, 277, 8607, 476, 274, 344, 17851, 910, 277, 343, 1341, 476, 280, 1422, 754, 9387, 265, 8679, 1321, 269, 8827, 667, 8817, 454, 1724, 269, 16534, 676, 1022, 1505, 269, 1422, 6234, 1422, 8218, 9387, 15857, 476, 273, 263, 274, 343, 910, 476, 276, 344, 264, 17851, 476, 278, 8607, 476, 1428, 344, 17851, 476, 280, 343, 1341, 476, 272, 1422, 754, 9387, 265, 8679, 1691, 269, 8827, 769, 4621, 11962, 0, 258, 10022, 3070, 547, 22357, 11186, 3830, 692, 272, 269, 9484, 476, 1839, 267, 476, 1001, 275, 692, 2162, 1768, 14535, 5633, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 692, 3528, 959, 15635, 908, 519, 11186, 3830, 2630, 693, 562, 284, 1321, 267, 17589, 519, 1106, 540, 519, 3070, 267, 13844, 7215, 585, 782, 519, 606, 1723, 324, 13266, 538, 2474, 540, 519, 9936, 4399, 14433, 16859, 273, 269, 31999, 4834, 454, 763, 744, 14701, 568, 912, 11377, 2765, 3189, 9507, 18097, 317, 273, 4153, 12978, 476, 7346, 9507, 18097, 348, 1535, 317, 273, 348, 815, 1422, 2765, 3189, 12978, 3867, 274, 270, 273, 12453, 343, 3867, 272, 270, 273, 3686, 9681, 296, 993, 5143, 602, 519, 3435, 723, 519, 1106, 1384, 11377, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 274, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 274, 270, 273, 15732, 274, 269, 634, 3801, 693, 513, 3070, 454, 763, 1259, 594, 723, 12193, 3126, 4834, 1354, 729, 547, 1226, 622, 519, 14170, 540, 899, 7060, 540, 1535, 269, 769, 713, 2013, 267, 2705, 267, 594, 723, 1346, 1535, 18284, 519, 3597, 267, 543, 594, 1810, 1405, 917, 875, 547, 979, 827, 3257, 713, 269, 594, 723, 519, 2474, 267, 3842, 4223, 11490, 320, 269, 1809, 594, 1810, 1405, 917, 875, 547, 1205, 3347, 1063, 519, 14170, 780, 24927, 630, 17806, 2187, 335, 20572, 318, 316, 28701, 476, 272, 1341, 1422, 314, 299, 10033, 30297, 343, 1341, 5681, 314, 8138, 27771, 314, 320, 267, 562, 30297, 343, 22677, 333, 270, 273, 1070, 2715, 333, 267, 476, 274, 267, 476, 1321, 348, 30092, 335, 9536, 20572, 318, 316, 2433, 23751, 11764, 314, 8138, 27771, 314, 320, 267, 562, 316, 16732, 333, 317, 273, 910, 476, 273, 265, 333, 8358, 275, 1535, 317, 9230, 333, 910, 476, 275, 8358, 273, 1070, 2715, 333, 267, 476, 274, 267, 476, 1321, 348, 316, 16963, 299, 9391, 815, 533, 9536, 20572, 316, 910, 1535, 317, 8987, 272, 270, 273, 31618, 335, 20572, 8079, 22677, 274, 270, 273, 2020, 8310, 12995, 676, 513, 15645, 1807, 281, 9484, 476, 1839, 267, 476, 1001, 275, 454, 273, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 3771, 639, 24128, 692, 2710, 596, 1611, 6695, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 273, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 333, 6525, 2496, 274, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 1768, 14535, 5633, 692, 5591, 267, 855, 594, 1705, 1118, 606, 5470, 538, 519, 1657, 269, 898, 1058, 581, 1384, 11377, 12978, 815, 476, 272, 266, 1422, 14433, 1535, 1341, 1422, 8999, 3709, 333, 284, 274, 8703, 1321, 348, 320, 3709, 333, 348, 1535, 3867, 333, 270, 273, 15732, 3719, 594, 666, 1405, 4137, 856, 875, 547, 12575, 1250, 3312, 2022, 780, 275, 269, 9484, 476, 2918, 267, 476, 1001, 275, 692, 2162, 3771, 639, 24128, 692, 6546, 5267, 547, 803, 519, 18839, 1535, 815, 579, 273, 269, 670, 13273, 1405, 6836, 621, 267, 1498, 269, 0, 427, 375, 379, 28981, 513, 10859, 2275, 22511, 692, 29493, 1154, 513, 10859, 2275, 22511, 692, 288, 2370, 11015, 547, 5180, 519, 3923, 856, 269, 1284, 1376, 856, 609, 513, 1770, 10859, 2275, 22511, 1384, 304, 281, 1548, 568, 519, 1858, 540, 519, 2699, 26484, 3148, 2630, 22112, 676, 1384, 296, 1223, 1589, 540, 1079, 4244, 2081, 540, 6061, 269, 2290, 1210, 9511, 267, 543, 519, 824, 1210, 11810, 269, 634, 11810, 3070, 568, 1129, 325, 545, 14688, 811, 1594, 539, 855, 267, 9684, 2685, 267, 1312, 2409, 2132, 519, 1482, 1267, 2439, 12663, 596, 1491, 519, 2699, 10788, 267, 610, 519, 4544, 10788, 2496, 16387, 20145, 1677, 4194, 22762, 29182, 267, 649, 666, 2736, 519, 26484, 3148, 883, 1614, 4773, 281, 589, 267, 645, 267, 595, 589, 543, 595, 616, 12730, 630, 5976, 5360, 11948, 520, 787, 7285, 1070, 543, 645, 568, 513, 10116, 5858, 10126, 609, 1770, 8953, 269, 634, 1858, 540, 1312, 12730, 7140, 856, 547, 581, 519, 1482, 630, 327, 2788, 519, 3490, 2053, 519, 7299, 4463, 1040, 5681, 2719, 909, 891, 1614, 4525, 3947, 721, 519, 2626, 269, 5221, 649, 917, 519, 3830, 540, 519, 10859, 2275, 22511, 267, 543, 519, 7182, 267, 649, 666, 946, 5610, 547, 1265, 519, 1858, 18284, 519, 7455, 780, 2791, 666, 1265, 513, 2347, 1592, 540, 782, 519, 4930, 1934, 269, 3396, 1109, 1109, 12812, 1934, 547, 4309, 4757, 25887, 593, 1007, 4930, 269, 0, 1012, 14506, 281, 3400, 653, 1782, 609, 29203, 19449, 3380, 543, 23155, 9999, 910, 8791, 476, 274, 281, 8092, 532, 692, 22998, 18807, 547, 1265, 519, 3070, 568, 2141, 513, 1434, 4640, 269, 594, 899, 519, 2856, 602, 1250, 1053, 1185, 547, 4019, 1018, 789, 6785, 269, 1284, 1810, 1405, 2356, 1205, 782, 540, 519, 1344, 2877, 547, 4194, 513, 1966, 543, 594, 899, 547, 5873, 1018, 789, 1589, 950, 3843, 547, 1265, 519, 1344, 2877, 269, 594, 849, 899, 519, 2856, 602, 789, 666, 1405, 1175, 31163, 1076, 606, 2626, 1524, 865, 789, 666, 5965, 547, 4734, 269, 22628, 873, 1118, 519, 4296, 729, 1434, 21533, 780, 22998, 7982, 1189, 454, 24836, 653, 1782, 609, 29203, 281, 11554, 7982, 1189, 692, 258, 19449, 3380, 543, 23155, 9999, 692, 16215, 476, 280, 281, 476, 273, 5937, 12763, 906, 454, 8893, 476, 280, 540, 476, 1321, 692, 1012, 8262, 22830, 281, 1215, 616, 10580, 543, 6252, 9999, 1644, 2496, 19530, 7689, 454, 272, 4116, 15055, 713, 3992, 454, 18184, 1841, 912, 20428, 4433, 2187, 2412, 3764, 692, 2162, 808, 3385, 12722, 692, 7462, 5381, 16497, 692, 30607, 10289, 8562, 636, 12401, 454, 277, 628, 6103, 4569, 9732, 16387, 454, 19136, 22830, 281, 1548, 568, 14039, 267, 19037, 286, 4841, 2263, 519, 2078, 1063, 18592, 543, 8006, 676, 7893, 513, 3099, 540, 10580, 543, 946, 621, 547, 17589, 519, 4542, 585, 18592, 563, 293, 2948, 2572, 263, 1626, 994, 4910, 1545, 263, 3374, 994, 306, 558, 969, 4068, 267, 10790, 454, 5319, 1444, 281, 12124, 692, 30607, 32309, 540, 7054, 10585, 25351, 559, 710, 541, 25609, 454, 278, 628, 6103, 4569, 9732, 16387, 454, 19136, 22830, 281, 4841, 946, 519, 3601, 540, 25965, 547, 3605, 7508, 7516, 563, 293, 2948, 2572, 263, 278, 994, 4910, 1545, 263, 866, 994, 6124, 20252, 267, 15829, 454, 5319, 1444, 281, 12124, 692, 30607, 20556, 9737, 8562, 636, 12401, 543, 18924, 2678, 910, 1548, 568, 14039, 888, 278, 628, 6103, 4569, 9732, 2983, 6248, 20970, 454, 19136, 22830, 281, 9894, 596, 2161, 2650, 286, 610, 14039, 286, 20780, 538, 513, 9764, 6221, 585, 1362, 267, 543, 621, 952, 4523, 547, 581, 1426, 910, 32217, 2464, 26041, 2336, 293, 2948, 2572, 263, 2420, 994, 4910, 1545, 263, 1691, 994, 14976, 517, 267, 12135, 454, 5319, 1444, 281, 4427, 18076, 454, 338, 793, 909, 610, 454, 306, 15036, 4682, 4636, 269, 6423, 3877, 585, 811, 9623, 454, 23875, 547, 14202, 3877, 2673, 0, 258, 9315, 1400, 8635, 2243, 1031, 538, 18234, 781, 11532, 6169, 692, 1103, 808, 3663, 781, 5590, 7869, 267, 14497, 476, 279, 269, 1724, 2829, 1384, 2252, 519, 7327, 983, 9315, 10904, 29138, 6585, 585, 782, 13737, 3556, 10904, 609, 1071, 21129, 1275, 6695, 18652, 18079, 1287, 621, 6585, 585, 782, 13737, 3556, 10904, 780, 4517, 19748, 2742, 476, 279, 269, 1691, 2829, 1384, 4131, 6695, 330, 28385, 2330, 581, 513, 13737, 29039, 971, 602, 6695, 3667, 346, 22396, 32710, 330, 28385, 264, 285, 315, 18652, 2330, 543, 6695, 14433, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 283, 315, 330, 28385, 2330, 585, 782, 6695, 14433, 283, 315, 330, 28385, 29634, 2690, 513, 3339, 5311, 6695, 15927, 315, 30848, 315, 330, 28385, 29192, 10401, 24097, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 9385, 15927, 315, 26917, 2330, 609, 6695, 3916, 1422, 330, 28385, 29192, 10401, 7807, 330, 28385, 18079, 952, 519, 1305, 6695, 3189, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 2567, 315, 330, 28385, 29192, 10401, 17353, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 14587, 7807, 330, 28385, 29192, 10401, 317, 10954, 6525, 568, 19335, 267, 1287, 6695, 330, 28385, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 7807, 330, 28385, 317, 266, 29634, 1103, 808, 3663, 267, 519, 6169, 540, 519, 14497, 476, 279, 269, 1724, 4422, 607, 5205, 281, 1284, 6961, 713, 11532, 676, 15632, 593, 519, 1071, 21129, 1275, 540, 6695, 330, 28385, 21974, 2913, 6695, 330, 28385, 2330, 581, 513, 13737, 29039, 602, 814, 606, 4608, 870, 762, 1071, 21129, 1275, 269, 2290, 666, 1397, 676, 15632, 593, 6695, 14433, 2330, 602, 6695, 14433, 283, 315, 330, 28385, 2330, 10522, 6695, 14433, 17353, 3667, 346, 22396, 32710, 330, 28385, 14587, 283, 315, 330, 28385, 21974, 3973, 585, 513, 3339, 5311, 692, 11377, 15927, 315, 30848, 315, 330, 28385, 29192, 10401, 24097, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 315, 15927, 315, 26917, 9681, 7945, 602, 6695, 3916, 315, 330, 28385, 29192, 10401, 7807, 330, 28385, 18079, 4063, 602, 519, 1305, 692, 2330, 306, 7807, 15927, 28381, 1422, 10401, 283, 315, 3667, 346, 22396, 32710, 330, 28385, 2567, 315, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 264, 31386, 18652, 20728, 346, 543, 7684, 273, 17353, 531, 32397, 318, 271, 348, 283, 315, 330, 28385, 29192, 10401, 1422, 15927, 315, 15732, 529, 513, 19335, 1305, 538, 6695, 3667, 346, 22396, 32710, 330, 28385, 14638, 269, 1635, 938, 8367, 267, 649, 917, 6695, 10401, 22174, 590, 2330, 10522, 6695, 330, 28385, 29192, 10401, 17353, 3667, 346, 22396, 32710, 330, 28385, 29192, 10401, 264, 13157, 7268, 330, 28385, 29192 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 4985, 1384, 1103, 2221, 781, 3059, 2085, 267, 1141, 938, 2729, 616, 5051, 23091, 609, 2029, 267, 4180, 519, 3354, 540, 938, 7384, 1949, 814, 2760, 1044, 811, 2565, 269, 1306, 649, 7048, 593, 5904, 585, 3388, 689, 2228, 12948, 547, 13936, 6213, 2123, 1344, 267, 7863, 6000, 543, 938, 1239, 689, 17351, 6285, 568, 1898, 269, 901, 3184, 786, 5490, 883, 519, 4909, 3741, 540, 2780, 1062, 3354, 267, 3246, 596, 609, 513, 4396, 5748, 538, 713, 2629, 1858, 540, 1353, 269, 1284, 786, 2263, 3584, 971, 607, 1569, 1852, 267, 14238, 267, 17452, 267, 543, 5150, 8193, 2853, 267, 782, 1369, 519, 2796, 540, 2413, 5665, 1949, 269, 1635, 519, 1439, 540, 713, 3184, 267, 596, 786, 723, 6591, 513, 4514, 1620, 540, 875, 547, 2149, 707, 7384, 1949, 1996, 1761, 6937, 543, 16426, 780, 16966, 6513, 281, 634, 3689, 7412, 540, 16470, 692, 4263, 922, 4295, 267, 1569, 1852, 4016, 547, 519, 1184, 676, 799, 3755, 543, 2200, 616, 11292, 610, 17792, 1808, 27704, 1759, 593, 741, 3961, 267, 1909, 267, 610, 1377, 540, 24999, 269, 7743, 569, 8045, 1569, 8060, 4196, 607, 519, 1101, 1899, 540, 8878, 538, 17516, 1022, 7384, 1062, 269, 7457, 1852, 6127, 666, 581, 19040, 883, 1614, 3119, 6688, 281, 24787, 776, 1569, 1852, 630, 291, 3722, 1070, 16601, 1569, 1852, 630, 300, 3722, 1070, 543, 1909, 2861, 1569, 1852, 630, 305, 289, 3722, 1040, 2913, 721, 4983, 1142, 7121, 538, 2490, 780, 272, 269, 2598, 17917, 776, 7457, 6513, 630, 291, 3722, 2567, 667, 3722, 2636, 519, 8227, 540, 513, 4199, 547, 3313, 945, 666, 1569, 602, 4199, 543, 896, 1018, 2175, 269, 1280, 1383, 267, 3758, 27704, 1305, 676, 513, 3593, 593, 513, 1133, 1460, 6438, 5665, 1062, 616, 606, 3236, 540, 667, 3722, 269, 2755, 8465, 267, 667, 3722, 666, 1291, 547, 3354, 4220, 952, 13817, 29664, 323, 610, 16789, 569, 7307, 563, 273, 269, 13495, 2218, 7457, 6513, 630, 300, 3722, 2567, 26914, 28352, 7453, 267, 21712, 1569, 1852, 3652, 5462, 676, 3844, 6392, 5515, 269, 1452, 4507, 3112, 581, 12012, 676, 1367, 3755, 267, 1818, 873, 4998, 585, 1164, 5498, 2579, 5054, 899, 4108, 19698, 610, 2229, 8041, 269, 1323, 1383, 540, 513, 26914, 7271, 568, 8232, 268, 26670, 2331, 12380, 630, 306, 5085, 514, 5060, 1070, 799, 3096, 10297, 547, 17997, 1569, 1852, 3664, 563, 274, 269, 10020, 15369, 7457, 6513, 630, 305, 289, 3722, 2567, 681, 289, 3722, 3651, 338, 27704, 547, 5107, 2864, 982, 2043, 267, 28976, 7245, 4247, 1247, 4509, 3354, 269, 20305, 616, 1287, 8655, 3617, 5107, 1759, 593, 741, 2816, 3252, 269, 1280, 1383, 267, 513, 6413, 1522, 946, 681, 289, 3722, 547, 9886, 7189, 1569, 547, 3461, 5638, 1247, 28142, 11889, 5234, 547, 20319, 543, 536, 3739, 3252, 780, 21886, 11736, 281, 27986, 4578, 693, 10163, 543, 538, 3690, 527, 692, 10574, 14238, 4249, 513, 4105, 1909, 538, 17420, 6213, 1344, 1312, 950, 621, 568, 6740, 630, 11907, 693, 1964, 264, 543, 1282, 6771, 630, 11907, 538, 18302, 1040, 2311, 922, 1034, 2596, 1377, 267, 14238, 3322, 14291, 10750, 3667, 630, 1348, 762, 1239, 264, 883, 29905, 3667, 630, 684, 1348, 762, 1239, 264, 1210, 513, 5728, 1883, 1634, 1152, 547, 17101, 6105, 269, 5565, 1292, 2010, 540, 14238, 2291, 281, 21136, 543, 12623, 13240, 780, 272, 269, 6641, 13240, 7402, 11736, 281, 4746, 1572, 5728, 268, 4486, 25563, 267, 21136, 14238, 18271, 519, 1482, 1883, 585, 1312, 17278, 532, 543, 1232, 7973, 532, 6835, 269, 6201, 540, 21136, 14238, 6620, 1331, 11628, 7402, 11736, 9208, 630, 288, 2464, 1070, 4578, 7402, 11736, 9208, 630, 291, 2464, 1070, 543, 10222, 921, 23370, 630, 274, 291, 2464, 1040, 6736, 1373, 5266, 3728, 267, 21136, 14238, 3340, 5150, 9055, 547, 5385, 10569, 1063, 14379, 9988, 563, 273, 269, 1306, 2096, 13240, 7402, 11736, 281, 4746, 5219, 547, 607, 1857, 268, 4486, 25563, 267, 12623, 13240, 14238, 18252, 1079, 28879, 5532, 10569, 12544, 1857, 1883, 2139, 547, 4896, 543, 513, 4357, 1883, 4371, 14311, 676, 519, 5048, 18579, 269, 1879, 1239, 568, 24290, 609, 513, 1857, 1883, 267, 1152, 519, 7222, 4357, 1883, 666, 1232, 7973, 621, 267, 3976, 8497, 22637, 269, 5871, 12623, 13240, 14238, 6620, 1331, 681, 6347, 543, 11875, 328, 10364, 4354, 557, 15303, 2762, 630, 4488, 290, 1040, 9603, 547, 14887, 4393, 11250, 3379, 547, 21136, 14238, 267, 12623, 13240, 14238, 568, 3335, 1031, 547, 3715, 5150, 4296, 267, 1310, 799, 5488, 21136, 14238, 2409, 1491, 936, 585, 5571, 10618, 780, 8505, 5782, 1709, 281, 7638, 4328, 14871, 5772, 885, 692, 8505, 5782, 1709, 5713, 607, 519, 22294, 540, 9591, 3972, 1063, 3755, 543, 7384, 1949, 269, 898, 3322, 2357, 4328, 519, 10645, 3961, 540, 513, 3593, 998, 1945, 789, 917, 630, 10139, 6919, 267, 623, 2562, 338, 1070, 4865, 630, 8243, 691, 6486, 267, 21797, 1070, 610, 616, 630, 6798, 6248, 338, 1040, 11638, 29969, 17452, 630, 300, 11902, 264, 10905, 2789, 3029, 540, 17452, 2188, 547, 1683, 6793, 3354, 18715, 269, 10426, 5320, 2861, 17452, 3788, 2442, 5103, 7915, 12755, 1813, 547, 922, 8897, 540, 17293, 543, 1970, 1942, 282, 2705, 267, 4244, 4485, 971, 607, 1979, 6248, 17452, 2709, 9621, 8925, 1510, 13461, 593, 3362, 7058, 762, 18538, 780, 20376, 675, 32017, 13756, 281, 16473, 532, 23977, 1676, 3809, 692, 6624, 1455, 3354, 23563, 1267, 689, 13385, 3403, 15418, 267, 17280, 24492, 7518, 1080, 267, 543, 14069, 13297, 6285, 269, 20074, 7347, 8193, 2853, 2337, 2061, 891, 16426, 689, 16109, 538, 519, 1101, 1747, 269, 2368, 1655, 2853, 1331, 1384, 265, 18452, 4406, 9179, 281, 4406, 28371, 782, 11378, 4607, 689, 5007, 2959, 267, 10992, 585, 2953, 3898, 267, 3259, 267, 2039, 267, 1826, 267, 3092, 563, 265, 20873, 518, 3683, 6503, 338, 281, 2142, 13533, 540, 5044, 6302, 950, 7829, 3965, 14305, 267, 632, 718, 6327, 267, 543, 12879, 547, 2057, 10518, 1159, 4770, 610, 24050, 13313, 563, 265, 24344, 29026, 281, 22982, 1134, 1673, 29545, 8021, 543, 10850, 8164, 2009, 267, 9319, 2688, 30582, 8259, 2556, 563, 265, 18438, 30047, 281, 7435, 548, 6959, 30780, 267, 4180, 8766, 24694, 540, 6213, 1344, 1247, 7303, 24677, 6361, 28129, 630, 2710, 306, 264, 6285, 4611, 689, 796, 8518, 1194, 17756, 563, 265, 8943, 17352, 1299, 13281, 281, 17115, 2689, 3009, 585, 1761, 3354, 2152, 543, 1685, 11826, 4152, 547, 2697, 543, 16185, 16426, 780, 6962, 692, 2026, 2486, 3587, 2479, 811, 882, 5050, 593, 7384, 1949, 267, 13215, 519, 17950, 540, 2780, 1062, 3354, 9428, 5051, 1271, 269, 3414, 3695, 3584, 971, 607, 1569, 1852, 267, 14238, 267, 17452, 267, 543, 5150, 8193, 2853, 267, 713, 3184, 6322, 547, 16491, 3988, 609, 513, 2178, 13654, 1620, 540, 3354, 9270, 1369, 2413, 5665, 1949, 269, 20331, 609, 713, 1702, 267, 2104, 9439, 786, 1732, 6330, 1950, 3354, 2591, 15054, 676, 9687, 4066, 543, 10779, 2456, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23430, 10361, 281, 8176, 26791, 454, 10112, 1539, 622, 4972, 10361, 281, 27584, 601, 1520, 8932, 454, 12709, 8525, 281, 5291, 2517, 4178, 6983, 338, 25331, 7032, 12975, 13045, 20663, 2257, 568, 519, 1353, 540, 519, 1374, 267, 2079, 267, 2792, 267, 6388, 267, 543, 3498, 540, 12985, 3157, 269, 11759, 5396, 540, 713, 9015, 1331, 3301, 1949, 630, 7945, 607, 5665, 1949, 543, 5121, 264, 543, 5752, 4654, 630, 10175, 1374, 543, 824, 1893, 8144, 2645, 1040, 1358, 849, 1331, 2780, 8800, 1949, 267, 519, 1374, 543, 2079, 540, 1239, 3889, 543, 6620, 267, 543, 519, 7811, 4493, 540, 19106, 267, 538, 1880, 519, 6988, 540, 19106, 269, 769, 1840, 547, 891, 4295, 5396, 267, 1585, 3498, 2127, 616, 1930, 547, 1053, 267, 1519, 5841, 4987, 267, 2780, 12449, 267, 12240, 267, 23066, 1357, 267, 1702, 6041, 543, 7744, 267, 3621, 543, 25948, 19106, 267, 2780, 5075, 267, 6880, 8882, 5509, 267, 2780, 543, 3060, 3354, 267, 1239, 5599, 267, 17562, 267, 12985, 8804, 267, 6252, 543, 7856, 1949, 267, 543, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 20376, 12053, 26386, 257, 607, 851, 540, 834, 28035, 1315, 21952, 7010, 1315, 4937, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 7170, 281, 772, 332, 9564, 2037, 5341, 618, 281, 30459, 631, 2313, 7741, 883, 2659, 13067, 17360, 26990, 619, 692, 17730, 8949, 19804, 9564, 1790, 17977, 6980, 666, 21592, 707, 5986, 1983, 543, 23666, 707, 2828, 543, 1920, 269, 901, 15825, 786, 3391, 596, 998, 7393, 519, 8137, 9043, 540, 707, 19471, 3276, 7970, 676, 6220, 17228, 910, 513, 2067, 2707, 540, 19804, 9564, 269, 1635, 1739, 891, 3268, 267, 596, 3513, 1451, 875, 547, 5965, 267, 3434, 267, 543, 9192, 17228, 609, 1585, 5820, 547, 1711, 575, 712, 5471, 3276, 7970, 2407, 540, 3638, 267, 29902, 16919, 780, 2162, 3487, 476, 272, 540, 476, 274, 281, 19369, 692, 2971, 5153, 476, 272, 281, 8564, 18610, 631, 2313, 7741, 692, 303, 21332, 4195, 17228, 971, 607, 1212, 2381, 328, 267, 695, 328, 527, 820, 267, 610, 2823, 984, 10314, 585, 6099, 2164, 269, 6733, 585, 6109, 267, 3819, 17228, 1510, 20015, 2478, 610, 3441, 269, 3680, 28489, 344, 3283, 267, 607, 789, 1522, 5815, 27253, 720, 269, 1403, 2009, 267, 4444, 5214, 3132, 547, 7413, 4598, 547, 6464, 780, 2971, 5153, 476, 273, 281, 11162, 519, 631, 2313, 7741, 7743, 569, 692, 294, 1836, 2973, 519, 17228, 1210, 513, 2571, 11453, 610, 14927, 1957, 24621, 3079, 540, 32092, 532, 873, 14015, 269, 21418, 7509, 5012, 547, 1216, 8421, 3022, 17228, 799, 1810, 1405, 1286, 14712, 1125, 1134, 1282, 5986, 269, 4793, 873, 3819, 1354, 23312, 547, 14299, 4771, 780, 2971, 5153, 476, 274, 281, 932, 641, 519, 631, 2313, 7741, 20963, 569, 692, 293, 710, 569, 18062, 519, 17228, 865, 741, 9403, 24025, 16900, 609, 519, 2666, 5779, 7848, 269, 1411, 666, 849, 13942, 873, 538, 513, 1426, 16267, 2394, 29656, 22872, 855, 2057, 936, 30112, 547, 2061, 7432, 873, 883, 13594, 780, 2971, 5153, 476, 275, 281, 28799, 631, 2313, 7741, 609, 16140, 29133, 692, 300, 1460, 3160, 2694, 540, 22872, 17228, 630, 2421, 2597, 264, 609, 2666, 5779, 630, 324, 3052, 1421, 14132, 267, 9269, 267, 21429, 1040, 1280, 1383, 267, 952, 1210, 835, 11013, 540, 2666, 5779, 267, 6451, 835, 11013, 540, 22872, 17228, 269, 4635, 707, 3946, 267, 9900, 3575, 1312, 3334, 1927, 2394, 14961, 7856, 269, 3683, 332, 30480, 949, 1267, 538, 10053, 1273, 2906, 267, 865, 6023, 519, 7848, 30194, 780, 2162, 3487, 476, 273, 540, 476, 274, 281, 18181, 692, 2971, 5153, 476, 276, 281, 19147, 543, 4813, 4793, 2906, 692, 19667, 728, 519, 5779, 2173, 2313, 3336, 7848, 883, 13980, 2687, 547, 707, 9053, 2450, 543, 3337, 7833, 1273, 2906, 269, 13667, 585, 5594, 25182, 8728, 982, 519, 4099, 2094, 789, 4043, 547, 726, 2794, 909, 950, 11273, 269, 5269, 2386, 711, 547, 14771, 519, 1273, 2906, 1932, 1454, 282, 6382, 267, 789, 1831, 9157, 780, 2971, 5153, 476, 277, 281, 2776, 17742, 6182, 650, 610, 4787, 32576, 692, 7093, 6768, 2901, 513, 1989, 650, 610, 1236, 32576, 676, 840, 515, 908, 621, 936, 5420, 3002, 269, 5696, 5241, 519, 2627, 21066, 609, 3282, 5849, 2653, 5305, 543, 11151, 23578, 269, 4495, 3905, 267, 1747, 519, 1273, 2906, 5196, 519, 1989, 919, 610, 3443, 780, 2971, 5153, 476, 278, 281, 13648, 4634, 569, 593, 5637, 590, 1938, 692, 290, 809, 519, 1273, 2906, 585, 5111, 2185, 3764, 829, 2427, 585, 5420, 1810, 8864, 269, 17797, 942, 1759, 593, 11098, 543, 5551, 1377, 540, 1810, 8864, 269, 2422, 513, 22883, 3121, 547, 16212, 5402, 267, 4180, 1100, 751, 2130, 4386, 269, 14190, 15895, 3002, 547, 9096, 5986, 1310, 9427, 689, 1463, 3002, 780, 2971, 5153, 476, 279, 281, 6744, 18378, 18323, 692, 2690, 3106, 4128, 267, 2141, 2638, 519, 4835, 2837, 540, 707, 3276, 7970, 1210, 513, 3059, 26282, 269, 23453, 621 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 538, 3308, 4082, 2164, 538, 519, 8007, 13374, 540, 519, 2634, 1373, 15181, 267, 3081, 12852, 6359, 320, 18087, 2711, 267, 2278, 540, 519, 1353, 634, 8551, 538, 31499, 269, 1879, 546, 797, 1782, 610, 7990, 532, 538, 267, 519, 1973, 2095, 547, 519, 4776, 30613, 16794, 540, 519, 2634, 568, 2799, 267, 1437, 908, 513, 2631, 540, 9740, 543, 8788, 267, 2687, 547, 519, 1353, 563, 9209, 4679, 519, 2157, 540, 22006, 538, 519, 1560, 269, 28576, 8533, 568, 519, 3114, 538, 519, 2634, 602, 3123, 12257, 543, 8788, 1547, 28576, 8533, 568, 849, 1634, 607, 519, 968, 300, 582, 10474, 11140, 892, 543, 666, 5818, 8404, 267, 1445, 543, 5834, 269, 589, 2631, 540, 22920, 543, 1582, 12635, 568, 849, 5818, 539, 950, 11264, 606, 11247, 563, 2026, 728, 689, 4227, 2566, 267, 1346, 945, 1711, 1148, 616, 849, 1447, 24949, 267, 723, 1447, 4160, 543, 616, 1447, 20158, 269, 901, 729, 3254, 998, 513, 1353, 676, 634, 3194, 4741, 585, 8551, 543, 9177, 630, 13612, 3722, 264, 693, 519, 2817, 4741, 585, 11300, 28544, 630, 301, 6717, 288, 1040, 1358, 1705, 513, 1353, 609, 9921, 5159, 543, 1336, 789, 616, 3810, 8647, 2818, 540, 2486, 543, 15321, 811, 476, 4586, 300, 25514, 2530, 3676, 267, 971, 607, 1546, 10879, 543, 12216, 781, 666, 849, 723, 2589, 540, 14699, 267, 20420, 267, 4965, 543, 4160, 269, 3203, 666, 2333, 5042, 5759, 543, 3965, 267, 799, 666, 5351, 538, 4227, 519, 2589, 540, 2634, 3676, 476, 4586, 9209, 666, 849, 948, 1346, 609, 5312, 3676, 269, 898, 2337, 873, 1445, 593, 1945, 3860, 543, 2769, 2933, 543, 741, 4606, 563, 9209, 1306, 589, 4813, 540, 10657, 454, 6624, 2090, 723, 3254, 602, 1312, 2937, 7990, 532, 3797, 267, 607, 1134, 607, 2757, 1148, 3797, 267, 723, 1044, 1634, 547, 6175, 2566, 543, 4160, 607, 1134, 607, 5818, 519, 30181, 540, 2550, 269, 3203, 3797, 568, 849, 513, 2922, 2230, 585, 2550, 547, 1184, 741, 4664, 543, 2769, 2933, 269, 3097, 9209, 26935, 1235, 616, 8036, 538, 1312, 3797, 543, 2757, 1148, 269, 1358, 666, 581, 13473, 538, 6530, 267, 1480, 1646, 267, 7499, 5389, 543, 519, 7067, 1761, 540, 1148, 269, 3509, 14317, 19190, 543, 9716, 18013, 723, 801, 3930, 6131, 547, 1148, 609, 7727, 2550, 949, 991, 563, 763, 15937, 5696, 2313, 853, 6593, 454, 2414, 9959, 267, 1148, 814, 1082, 2640, 585, 519, 2247, 267, 1560, 267, 14156, 543, 2618, 10999, 269, 898, 666, 4217, 609, 2634, 1599, 476, 2073, 1256, 585, 2550, 609, 5312, 543, 2634, 3676, 563, 9209, 666, 9350, 519, 2247, 543, 581, 1031, 607, 513, 1106, 540, 9066, 269, 5637, 2937, 7990, 532, 543, 2757, 3029, 540, 1148, 616, 25695, 585, 519, 2247, 543, 666, 3142, 1445, 563, 288, 2370, 3787, 540, 1148, 666, 979, 513, 1279, 1259, 269, 6787, 621, 779, 513, 1507, 546, 22259, 610, 7990, 532, 538, 513, 8260, 8403, 267, 513, 7206, 267, 9380, 532, 513, 544, 1872, 267, 610, 1565, 513, 5152, 563, 22517, 739, 707, 2247, 609, 606, 1148, 4161, 269, 589, 2635, 2247, 5012, 547, 513, 2635, 1560, 269, 0, 8310, 11016, 3781, 630, 18550, 476, 1704, 1070, 607, 1082, 941, 16287, 519, 11812, 540, 853, 269, 18536, 781, 4303, 676, 844, 523, 4221, 513, 5230, 19818, 693, 741, 14282, 14450, 8559, 267, 930, 6607, 1189, 3766, 5074, 4961, 538, 15762, 26963, 334, 267, 4993, 941, 2451, 2647, 31991, 693, 519, 3135, 540, 1166, 5446, 18162, 540, 1769, 16841, 563, 310, 5893, 525, 540, 519, 535, 30711, 7613, 267, 799, 16768, 827, 476, 2412, 7643, 267, 3576, 547, 1514, 2923, 609, 7044, 540, 519, 12357, 8289, 532, 267, 543, 621, 4769, 1405, 1491, 1279, 585, 519, 5769, 547, 1683, 519, 7138, 1194, 29123, 609, 930, 4267, 267, 2687, 547, 513, 595, 7034, 5240, 15762, 26963, 334, 1867, 563, 5475, 26164, 519, 2680, 267, 519, 8227, 540, 3751, 5556, 30179, 532, 7577, 11540, 513, 3381, 547, 519, 1786, 342, 335, 889, 781, 17749, 2272, 547, 5077, 519, 13999, 593, 1018, 621, 729, 789, 4718, 269, 13562, 9593, 543, 28936, 903, 545, 626, 693, 519, 12370, 1700, 29834, 26040, 4741, 585, 8330, 5268, 12695, 543, 20240, 4759, 540, 519, 20771, 7128, 22189, 22413, 578, 749, 568, 1634, 585, 6061, 891, 2010, 540, 20771, 679, 580, 5733, 267, 543, 729, 2111, 547, 3533, 19665, 519, 27521, 563, 1103, 513, 8142, 11540, 547, 12108, 267, 22413, 578, 749, 6920, 602, 11016, 781, 3595, 27750, 941, 519, 2067, 1439, 6361, 3734, 1267, 540, 2230, 11935, 8781, 909, 538, 3047, 781, 5790, 267, 16887, 267, 513, 5266, 1507, 10618, 10189, 2899, 7923, 547, 519, 4139, 6611, 13749, 630, 3041, 306, 1916, 17637, 730, 594, 5425, 7232, 293, 267, 519, 476, 6924, 274, 7273, 630, 20542, 4846, 264, 19622, 5057, 729, 3743, 585, 7175, 10618, 1063, 519, 32199, 781, 918, 756, 334, 9074, 543, 17030, 6513, 269, 594, 5425, 7232, 293, 9250, 538, 476, 1220, 280, 267, 543, 729, 795, 9116, 2581, 539, 689, 519, 32199, 883, 513, 9178, 532, 10739, 538, 476, 1708, 271, 563, 306, 697, 902, 971, 607, 713, 616, 2693, 547, 1831, 811, 1455, 269, 17497, 267, 8331, 543, 519, 4972, 540, 16470, 3950, 909, 547, 476, 2767, 267, 1822, 1634, 4773, 540, 2230, 11935, 267, 543, 3549, 899, 6611, 311, 616, 22745, 15408, 538, 519, 5215, 2443, 782, 2966, 609, 11626, 30477, 1674, 1739, 741, 10512, 28252, 269, 1656, 1247, 972, 568, 2370, 1981, 540, 1022, 540, 891, 3595, 27750, 540, 2230, 11935, 538, 519, 6607, 4742, 1835, 11596, 538, 519, 2666, 267, 972, 568, 2141, 513, 1981, 15054, 547, 15408, 543, 824, 6472, 538, 10739, 563, 2026, 5063, 607, 4728, 476, 277, 267, 519, 32199, 1185, 547, 14892, 513, 23603, 547, 2057, 513, 1761, 16580, 609, 835, 540, 513, 1297, 540, 15408, 4171, 9178, 532, 25057, 616, 4098, 547, 1958, 25209, 593, 519, 2230, 6728, 781, 8184, 2619, 563, 25387, 267, 972, 616, 1896, 6069, 2093, 538, 519, 2230, 2872, 593, 875, 547, 4308, 609, 2230, 11935, 543, 606, 5051, 22125, 1970, 3047, 10739, 267, 855, 9039, 723, 2943, 547, 581, 2322, 538, 3742, 5106, 563, 7476, 519, 6611, 2593, 5240, 12072, 454, 17954, 1136, 2230, 3377, 267, 519, 5767, 10311, 593, 15177, 31782, 267, 6607, 342, 10248, 2621, 543, 811, 2336, 297, 9655, 20550, 1676, 568, 6611, 2593, 781, 12474, 15440, 269, 1261, 568, 513, 5856, 543, 23031, 609, 513, 6612, 585, 2257, 543, 2230, 3408, 267, 543, 814, 1044, 2324, 519, 2230, 10726, 2094, 476, 1001, 277, 269, 21013, 814, 4988, 519, 4720, 540, 8331, 781, 5010, 2230, 325, 2775, 12352, 267, 689, 2038, 22900, 543, 7261, 3913, 639, 18535, 13485, 547, 519, 5571, 1646, 543, 31782, 540, 12284, 539, 13485, 689, 519, 6611, 11076, 267, 607, 1134, 607, 8331, 2257, 13485, 543, 811, 269, 1261, 849, 21593, 2679, 476, 272, 281, 13893, 4336, 3631, 540, 31244, 543, 1480, 1922, 31500, 14361, 269, 4855, 930, 540, 21013, 781, 10131, 10344, 593, 17749, 543, 1010, 3896, 267, 543, 1246, 1864, 593, 12108, 267, 1141, 646, 6140, 9708, 538, 688, 30884, 269, 0, 5649, 519, 5767, 5816, 13366, 689, 938, 4966, 538, 519, 2361, 563, 12663, 519, 7126, 540, 7186, 1265, 922, 1318, 995, 1747, 693, 519, 6167, 26085, 10985, 630, 4596, 303, 476, 1428, 25145, 16829, 593, 15773, 540, 281, 3220, 11835, 13860, 9540, 6229, 454, 8310, 8242, 281, 11728, 267, 476, 276, 5412, 476, 1708, 273, 454, 2252, 1022, 3486, 2825, 1876, 941, 547, 21028, 2470, 779, 2924, 15983, 621, 1131, 581, 519, 476, 1960, 273, 6167, 13482, 593, 18143, 16844, 630, 290, 9720, 21663, 634, 1101, 6662, 540, 519, 14055, 568, 519, 2048, 4621, 3569, 540, 6211, 4763, 685, 6340, 2047, 547, 519, 4027, 540, 2470, 269, 1733, 12241, 519, 17271, 1871, 540, 9265, 568, 1490, 19813, 2390, 538, 922, 840, 268, 600, 1076, 267, 12077, 602, 2470, 814, 1871, 543, 513, 1318, 547, 2291, 10446, 540, 3425, 267, 713, 568, 4166, 31083, 611, 15735, 676, 606, 5817, 2070, 540, 2470, 693, 519, 14055, 607, 606, 1843, 282, 513, 4199, 547, 581, 23699, 585, 3425, 267, 543, 23954, 6013, 606, 23835, 1670, 11064, 547, 8236, 519, 14055, 779, 20440, 540, 2048, 331, 1516, 538, 10103, 609, 2470, 17483, 763, 683, 565, 28515, 4493, 540, 2518, 9265, 1876, 454, 763, 14055, 28107, 922, 10236, 12510, 878, 543, 683, 565, 28515, 1871, 3490, 538, 3875, 2081, 281, 634, 4214, 540, 2048, 6798, 1670, 2200, 685, 609, 1761, 1871, 585, 8103, 267, 519, 946, 540, 2035, 971, 607, 5117, 2533, 267, 543, 2067, 3854, 267, 2470, 1759, 3435, 267, 543, 922, 2571, 1876, 543, 1875, 1790, 684, 1438, 1935, 547, 519, 5726, 540, 9265, 269, 634, 946, 540, 2571, 1876, 9072, 609, 1100, 12477, 6127, 610, 11413, 540, 1367, 2197, 3356, 630, 5408, 3220, 11835, 13860, 9540, 6229, 779, 1034, 2487, 9399, 14641, 8889, 16684, 267, 547, 581, 3370, 476, 278, 5412, 476, 1708, 273, 264, 2073, 5815, 519, 10862, 2016, 676, 2829, 547, 5726, 540, 9265, 267, 950, 3379, 547, 519, 1646, 540, 519, 2034, 543, 3791, 14055, 6859, 540, 2048, 338, 20980, 946, 685, 543, 2048, 325, 1515, 543, 12581, 4687, 540, 2640, 685, 799, 3717, 547, 4199, 14226, 543, 723, 8815, 16155, 11006, 10873, 609, 10220, 6127, 563, 2026, 728, 689, 519, 840, 268, 600, 1076, 267, 972, 568, 1100, 2262, 532, 799, 2369, 2478, 519, 17271, 2418, 540, 2470, 538, 519, 3853, 267, 9072, 543, 3664, 1500, 676, 519, 14055, 30505, 269, 1703, 568, 1100, 5639, 585, 2470, 538, 519, 1379, 17078, 523, 13618, 3375, 6194, 1184, 267, 543, 7087, 4658, 543, 10871, 18877, 267, 945, 16102, 476, 3199, 829, 1298, 540, 519, 1158, 779, 9265, 543, 616, 1883, 547, 3384, 2518, 24300, 540, 875, 519, 2518, 1480, 2551, 666, 5963, 2661, 538, 10103, 609, 2470, 267, 616, 711, 606, 4013, 851, 540, 13618, 3375, 1818, 269, 11086, 267, 519, 6384, 540, 30505, 543, 3375, 1818, 3895, 543, 16196, 683, 565, 28515, 2418, 540, 519, 1604, 267, 5275, 547, 2226, 2048, 321, 5350, 607, 8912, 685, 585, 4199, 14226, 25467, 713, 568, 4010, 1018, 814, 5949, 1107, 9039, 540, 519, 14055, 5726, 6859, 267, 9072, 610, 3853, 723, 1044, 1558, 543, 649, 723, 25295, 9265, 19236, 6302, 563, 763, 14055, 607, 621, 6763, 1281, 4986, 547, 4161, 27723, 21376, 2504, 543, 4616, 3270, 267, 4123, 610, 1646, 1107, 782, 9940, 10256, 540, 9265, 2530, 269, 3776, 2067, 1158, 568, 13113, 543, 621, 568, 2312, 602, 12624, 3047, 3112, 3514, 883, 683, 565, 28515, 3631, 1759, 593, 12808, 2208, 998, 4199, 14226, 269, 589, 9097, 556, 6253, 1074, 540, 519, 1871, 3490, 540, 519, 14055, 568, 2877, 543, 519, 7126, 540, 7186, 3091, 513, 1797, 547, 3035, 713, 609, 922, 4358, 1448, 2369, 2358, 602, 824, 2713, 7919, 543, 2470, 723, 513, 1318, 547, 2291, 267, 8853, 543, 11457, 267, 543, 649, 723, 9021, 2509, 873, 563, 305, 2074, 540, 7186, 538, 6469, 1876, 454, 4263, 519, 6469, 1377, 972, 814, 1044, 513, 9602, 4838, 799, 568, 3395, 2066, 519, 8608, 282, 3656, 6284, 540, 519, 7126, 540, 7186, 267, 543, 713, 1935, 568, 4358, 547, 1397, 2164, 269, 634, 6284, 602, 2470, 568, 513, 1641, 609, 3656, 2924, 267, 2864, 982, 606, 1843, 585, 14226, 12662, 2470, 693, 519, 2295, 540, 3375, 1818, 543, 2369, 2478, 519, 17271, 1871, 543, 938, 954, 4448, 1145, 609, 2470, 269, 634, 7126, 540, 7186, 723, 1044, 8045, 998, 1114, 4485, 282, 1369, 1526, 4801, 267, 29417, 267, 16324, 3664, 267, 676, 13166, 2369, 2358, 22232, 4031, 267, 3921, 514, 1734, 267, 6237, 543, 2199, 4031, 267, 543, 2571, 4485, 971, 607, 3616, 25730, 543, 3618, 1876, 21520, 563, 6097, 547, 9399, 14641, 3194, 29533, 543, 7905, 540, 11094, 17905, 631, 11986, 3212, 1188, 630, 18662, 540, 5020, 7070, 267, 2160, 540, 12246, 16303, 264, 2048, 763, 2518, 11944, 540, 2048, 305, 2074, 540, 7186, 685, 3091, 513, 3532, 7271, 547, 2149, 8134, 538, 3068, 540, 519, 12242, 16650, 16839, 540, 9265, 2530, 543, 2916, 1689, 269, 634, 6932, 1379, 540, 3656, 2962, 602, 12034, 7186, 607, 513, 1641, 896, 1876, 267, 6462, 676, 3621, 8733, 2963, 538, 4831, 532, 6937, 547, 519, 2067, 1604, 568, 2312, 267, 2523, 538, 5824, 3013, 1141, 9086, 5885, 2924, 540, 2470, 2291, 1369, 1526, 4801, 269, 589, 2518, 30675, 729, 1305, 538, 476, 1708, 272, 267, 950, 28130, 779, 25799, 7040, 1031, 2048, 305, 2074, 540, 7186, 685 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 341, 10884, 2168, 7592, 269, 29028, 543, 25655, 7907, 4438, 519, 10120, 2053, 31557, 941, 1634, 607, 21847, 610, 12325, 269, 1548, 616, 519, 2168, 4162, 540, 606, 6803, 2296, 269, 1809, 267, 607, 519, 25655, 6520, 2919, 267, 570, 10455, 781, 2956, 729, 17772, 2354, 539, 676, 18897, 543, 13095, 514, 269, 21419, 1756, 568, 711, 4299, 676, 3665, 2825, 5054, 609, 513, 1164, 3747, 585, 7344, 543, 2168, 4162, 267, 621, 1281, 711, 7985, 689, 14809, 610, 6336, 3601, 936, 942, 267, 621, 568, 835, 540, 519, 1034, 1031, 2326, 538, 519, 7098, 517, 27658, 543, 23825, 2872, 269, 634, 32090, 22226, 3004, 1080, 723, 1044, 896, 7634, 2094, 519, 3735, 476, 5197, 271, 779, 269, 18984, 643, 832, 2220, 600, 11849, 648, 543, 8678, 519, 2199, 6705, 282, 607, 513, 1267, 267, 7766, 4469, 3430, 1453, 941, 1025, 1180, 693, 4332, 855, 1185, 15191, 15918, 871, 4552, 676, 741, 7141, 3042, 1296, 32737, 1705, 594, 269, 898, 568, 519, 476, 279, 555, 8400, 540, 519, 476, 1911, 4303, 2782, 1874, 267, 4010, 693, 519, 476, 2004, 555, 1554, 269, 18897, 630, 24874, 25245, 3331, 508, 6759, 31014, 267, 6196, 2296, 17487, 494, 684, 528, 267, 6196, 4400, 4436, 5213, 541, 267, 1160, 1729, 8566, 9007, 545, 2608, 383, 508, 684, 23432, 267, 968, 1320, 8974, 14615, 568, 835, 540, 519, 1034, 7986, 5515, 538, 25245, 13299, 269, 1548, 616, 6093, 32090, 2934, 286, 634, 2168, 7592, 540, 519, 20918, 923, 941, 4330, 607, 1769, 4064, 267, 1769, 2960, 267, 7381, 588, 1155, 267, 543, 12373, 747, 334, 21306, 545, 15693, 282, 519, 5626, 7592, 607, 5168, 995, 267, 12581, 267, 8013, 267, 14255, 633, 267, 11603, 267, 543, 1367, 2065, 269, 9721, 1323, 6827, 787, 5080, 1440, 2478, 32672, 4705, 676, 1715, 5027, 10934, 269, 630, 2254, 823, 519, 8004, 593, 519, 2484, 2451, 781, 3068, 543, 519, 8004, 1985, 547, 1934, 267, 789, 616, 269, 769, 930, 540, 519, 2477, 789, 986, 3660, 543, 12306, 538, 267, 713, 1974, 269, 1452, 7592, 2285, 596, 513, 22429, 547, 1079, 1983, 543, 267, 952, 606, 2069, 1445, 568, 593, 835, 540, 1346, 1079, 1983, 267, 786, 1118, 873, 811, 269, 634, 2186, 519, 1131, 1205, 596, 7166, 676, 1483, 2367, 543, 4440, 513, 1028, 627, 25891, 538, 1034, 1164, 3506, 855, 2864, 3020, 21052, 269, 1358, 666, 581, 6591, 610, 4503, 1282, 2621, 543, 2069, 269, 3040, 10159, 18050, 519, 6077, 6114, 538, 9867, 4672, 5834, 267, 11098, 267, 1166, 4141, 2450, 267, 4222, 267, 543, 20847, 3432, 1299, 4287, 269, 1306, 13269, 538, 713, 5140, 1279, 8573, 7342, 1357, 13371, 267, 519, 6093, 9527, 324, 568, 2938, 607, 3638, 267, 818, 5766, 656, 267, 543, 10509, 1606, 822, 11803, 269, 634, 29735, 5198, 267, 799, 6227, 25227, 1004, 689, 16862, 267, 13785, 267, 543, 16157, 630, 600, 784, 824, 6753, 1070, 1419, 2501, 609, 12779, 2960, 267, 1769, 12258, 10696, 4064, 267, 543, 513, 7381, 588, 1155, 269, 19866, 25655, 4955, 5928, 24797, 621, 2066, 1896, 824, 4525, 540, 2342, 630, 324, 269, 594, 666, 1265, 1455, 2666, 1063, 519, 535, 1512, 6827, 14763, 267, 26003, 1944, 609, 873, 543, 2141, 2324, 4724, 4708, 269, 1809, 950, 3173, 4362, 1200, 3788, 538, 269, 12791, 596, 2097, 547, 606, 1620, 540, 875, 16970, 519, 1158, 568, 543, 3398, 713, 2943, 1869, 1847, 4464, 538, 2962, 269, 8834, 29778, 849, 7028, 713, 538, 1010, 1353, 11331, 3864, 4552, 543, 3750, 2681, 282, 4466, 602, 693, 2547, 476, 2568, 260, 540, 32090, 1004, 723, 513, 1769, 2212, 540, 4552, 267, 543, 693, 2547, 476, 2004, 260, 723, 1769, 4064, 269, 9861, 513, 968, 309, 10884, 892, 15538, 540, 1818, 513, 2713, 676, 986, 4575, 9678, 20708, 625, 267, 711, 1317, 540, 741, 269, 769, 519, 2038, 476, 5002, 271, 338, 267, 3173, 1101, 2968, 5461, 538, 519, 2168, 7592, 540, 19360, 545, 1004, 282, 2705, 267, 1152, 5063, 267, 609, 3059, 2029, 543, 11646, 11837, 267, 723, 3744, 1044, 2111, 547, 11694, 741, 1382, 269, 3245, 3345, 3013, 538, 519, 7178, 547, 6239, 5607, 538, 519, 7532, 267, 519, 25655, 6520, 568, 3989, 676, 32321, 27763, 3408, 602, 9327, 1405, 723, 1044, 2009, 1510, 971, 4359, 6928, 20761, 269, 1703, 616, 513, 2603, 540, 7592, 602, 666, 20726, 547, 1977, 4095, 22693, 269, 1341, 1015, 260, 13262, 13809, 6567, 273, 19731, 13734, 6567, 276, 5900, 3555, 32722, 6567, 1015, 11534, 5242, 3004, 527, 14956, 819, 1341, 1015, 23893, 3004, 527, 32722, 269, 2913, 781, 13185, 6168, 10434, 12085, 17555, 22312, 630, 275, 270, 276, 264, 1215, 547, 21118, 513, 25655, 8342, 1968, 281, 634, 8865, 585, 8738, 940, 2659, 3204, 28905, 11783, 5080, 19828, 1715, 5903, 540, 590, 1248, 1868, 31698, 952, 596, 5620, 513, 25655, 538, 269, 1358, 2951, 1472, 519, 27607, 7464, 916, 1519, 3047, 3842, 606, 22524, 7645, 683, 343, 639, 1634, 607, 519, 645, 604, 15543, 269, 7831, 10732, 649, 1185, 519, 865, 10777, 18378, 4303, 269, 2107, 2864, 267, 875, 2413, 812, 3085, 1405, 1256, 3100, 547, 9787, 519, 1523, 540, 8699, 267, 1247, 621, 729, 5990, 2582, 1034, 1271, 16023, 585, 1022, 25245, 2006, 269, 9861, 513, 25655, 7012, 1406, 20231, 1187, 543, 3756, 269, 1358, 616, 899, 4266, 27374, 543, 741, 2960, 568, 26070, 2668, 3962, 2909, 573, 4564, 1776, 1268, 602, 814, 4280, 1864, 1018, 519, 2909, 1749, 1611, 269, 25655, 1688, 6794, 568, 606, 3504, 2068, 799, 568, 5156, 547, 723, 1044, 12090, 609, 519, 31557, 538, 8832, 2342, 269, 634, 7729, 30416, 602, 519, 24085, 723, 1336, 267, 8761, 267, 602, 513, 812, 729, 1472, 476, 15094, 4699, 7381, 630, 276, 269, 25655, 6090, 538, 8832, 4789, 1788, 3487, 476, 272, 910, 654, 597, 1537, 543, 4639, 19903, 1662, 790, 630, 1220, 273, 268, 1220, 279, 264, 3487, 476, 273, 910, 3345, 19903, 1662, 790, 267, 595, 3518, 6319, 543, 715, 269, 634, 19916, 540, 930, 20258, 7592, 723, 1279, 6700, 602, 1352, 729, 513, 4807, 267, 855, 2094, 713, 18205, 814, 1044, 519, 1826, 19494, 585, 513, 25655, 24116, 585, 936, 513, 2540, 267, 621, 814, 2141, 1044, 10924, 269, 18780, 799, 2270, 513, 12162, 547, 2123, 4162, 267, 971, 607, 269, 1358, 616, 849, 1634, 607, 519, 589, 525, 597, 10971, 945, 723, 1044, 10847, 539, 676, 519, 3425, 540, 22778, 807, 267, 6628, 267, 543, 8832, 2342, 269, 25655, 17887, 24132, 538, 2450, 689, 1688, 17887, 630, 13678, 1791, 547, 9723, 1695, 1177, 802, 264, 547, 1279, 3620, 10762, 539, 6370, 17887, 269, 1717, 267, 513, 590, 1097, 628, 1014, 669, 773, 1111, 664, 729, 1336, 538, 27584, 4997, 945, 1185, 1044, 12617, 2235, 320, 476, 4335, 645, 269, 8111, 335, 10183, 616, 2706, 16058, 543, 16750, 5759, 267, 4162, 267, 543, 5924, 10305, 6964, 543, 8268, 538, 1082, 1568, 540, 5708, 543, 814, 1831, 513, 1455, 7708, 701, 1031, 538, 9423, 543, 585, 513, 2647, 2039, 540, 824, 5301, 269, 20070, 3753, 267, 4576, 543, 513, 27571, 476, 1708, 271, 5859, 1813, 547, 5046, 268, 866, 723, 782, 1249, 1819, 538, 269, 12379, 334, 21306, 545, 267, 9106, 2801, 268, 9647, 665, 3757, 545, 609, 7522, 518, 8188, 543, 811, 5180, 880, 2934, 982, 2558, 21417, 837, 267, 543, 811, 7347, 2934, 982, 8065, 560, 3430, 607, 1134, 607, 811, 7986, 32336, 1532, 2158, 269, 7454, 807, 262, 1773, 636, 1092, 3571, 2189, 1133, 28534, 5578, 568, 590, 27462, 335, 4875, 269, 13095, 514, 630, 29455, 968, 15121, 1673, 514, 31865, 6196, 25245, 3331, 497, 32244, 4883, 267, 6196, 2296, 543, 6196, 590, 19414, 654, 31829, 267, 6196, 4400, 4436, 18961, 582, 534, 267, 654, 582, 534, 267, 610, 654, 617, 534, 267, 1160, 1729, 8566, 9007, 545, 2608, 310, 334, 32244, 534, 1794, 267, 968, 22913, 540, 8278, 560, 6470, 14615, 568, 835, 540, 519, 1034, 1950, 543, 28430, 3197, 538, 25245, 13299, 267, 543, 5310, 538, 782, 540, 1158, 3332, 269, 634, 1883, 2168, 14487, 540, 25930, 584, 568, 602, 646, 608, 24231, 5898, 267, 543, 729, 7654, 519, 1034, 4190, 540, 519, 589, 525, 597, 10971, 269, 634, 986, 4575, 2516, 3100, 547, 723, 1185, 1547, 634, 5286, 322, 814, 1082, 6263, 21003, 657, 2066, 741, 3068, 4358, 689, 519, 7944, 540, 741, 5023, 547, 519, 6316, 540, 741, 3750, 269, 898, 8659, 7729, 30416, 540, 1079, 7606, 945, 1185, 1044, 1232, 777, 18469, 269, 898, 568, 3989, 676, 16910, 1633, 607, 2110, 2287, 267, 5394, 2287, 267, 543, 27470, 540, 519, 5493, 3405, 3673, 807, 6721, 513, 4827, 542, 22775, 640, 540, 513, 9416, 269, 1548, 616, 25655, 781, 11132, 2934, 27085, 1306, 519, 31557, 4163, 741, 9635, 936, 1633, 267, 4498, 12245, 543, 21009, 323, 534, 6146, 513, 7671, 880, 1920, 269, 476, 1001, 280, 268, 4962, 268, 6187, 476, 1708, 272, 268, 5400, 268, 2767, 676, 25014, 3821, 590, 269, 3487, 540, 519, 10539, 568, 602, 1010, 2168, 1373, 568, 2352, 547, 17970, 1524, 269, 1717, 267, 1498, 513, 2603, 540, 1344, 568, 23650, 776, 267, 621, 779, 1869, 22973, 543, 5363, 547, 1174, 519, 2528, 543, 519, 2021, 945, 5280, 1118, 621, 19416, 269, 476, 276, 543, 476, 2568, 2600, 540, 2413, 14470, 2367, 4865, 519, 962, 5937, 2793, 688, 680, 690, 4981, 681, 272, 320, 267, 799, 13315, 681, 272, 320, 272, 269, 31557, 476, 1708, 273, 631, 1442, 30633, 3004, 14982, 281, 19405, 476, 274, 269, 17006, 6424, 744, 20602, 334, 543, 918, 2967, 597, 4432, 600, 1131, 2285, 519, 31557, 513, 2462, 5818, 593, 519, 17872, 2427, 540, 519, 3440, 269, 12339, 2297, 1185, 6793, 10265, 6050, 538, 2489, 267, 1247, 2367, 1185, 1793, 20810, 8188, 269, 15349, 10579, 24430, 1678, 14659, 646, 1522, 581, 513, 25655, 13956, 656, 269, 11120, 6053, 267, 2782, 19144, 616, 1419, 27537, 676, 1970, 32071, 4900, 543, 606, 4082, 602, 3081, 267, 834, 10673, 1405, 535, 3089, 609, 803, 269, 4340, 547, 513, 1007, 1353, 593, 519, 5027, 540, 936, 476, 6110, 269, 556, 281, 8447, 7592, 540, 519, 22469, 1004, 269, 31557, 568, 606, 6909, 14070, 12416, 538, 922, 1378, 1318, 267, 855, 568, 849, 8185, 12082, 538, 3140, 1249, 267, 799, 649, 1589, 568, 835, 540, 519, 4128, 1946, 621, 779, 8810, 865, 2442, 543, 5170, 547, 581, 269, 769, 519, 25655, 6520, 267, 519, 11132, 2934, 540, 519, 2367, 543, 2021, 941, 811, 7567, 982, 789, 616, 2221, 269, 2060, 971, 513, 3309, 2551, 540, 1004, 689, 1114, 10080, 543, 4529, 267, 621, 666, 581, 2352, 547, 2697, 519, 6093, 9721, 3068, 269, 9717, 875, 31557, 616, 1419, 17814, 538, 2835, 543, 9413, 267, 621, 4440, 4465, 1405, 9983, 596, 547, 1451, 602, 519, 31557, 941, 3833, 513, 3787, 1114, 538, 1483, 1272, 269, 1358, 1860, 513, 3099, 540, 2127, 267, 3388, 689, 10305, 547, 1894, 269, 1717, 267, 1934, 519, 4605, 540, 519, 2462, 267, 2178, 25655, 535, 3547, 513, 2370, 269, 1677, 581, 538, 519, 4395, 4737, 950, 513, 8857, 568, 9575, 538, 513, 8828, 3864, 2168, 9784, 5963, 568, 513, 8289, 547, 1531, 1245, 269, 7046, 2247, 539, 267, 32127, 267, 2653, 547, 1921, 267, 1434, 3028, 267, 6093, 3864, 269, 634, 29980, 29980, 9954, 941, 513, 1360, 1455, 1106, 540, 17454, 29509, 9085, 269, 16164, 2681, 9867, 689, 4158, 547, 1769, 6960, 267, 543, 519, 6093, 25069, 322, 3068, 729, 3376, 609, 513, 269, 9521, 519, 17887, 2356, 13269, 538, 14810, 12383, 267, 25655, 17887, 941, 2582, 19229, 1540, 630, 1729, 1118, 873, 5488, 543, 811, 23603, 762, 1040, 634, 11263, 540, 513, 1268, 7092, 689, 25655, 1688, 2068, 11148, 547, 22775, 1813, 547, 19432, 540, 519, 5493, 3405, 3673, 807, 269, 8382, 630, 272, 540, 476, 275, 2567, 3733, 2626, 786, 711, 581, 1759, 593, 3621, 1239, 267, 855, 1175, 1759, 593, 1018, 594, 4076, 4767, 782, 1250, 1272, 607, 513, 21785, 269, 4746, 1634, 607, 667, 1575, 8500, 339, 1066, 781, 4579, 675, 267, 519, 25655, 1688, 2068, 4991, 922, 824, 2012, 689, 513, 15431, 4940, 2913, 781, 1491, 513, 1413, 693, 1346, 7592, 267, 519, 14868, 3297, 873, 267, 543, 1018, 2413, 2367, 666, 1451, 689, 519, 25655, 2353, 15289, 269, 1548, 1705, 519, 31557, 11555, 3201, 14877, 1413, 899, 286, 634, 13159, 700, 8780, 269, 634, 11475, 540, 19360, 545, 1004, 781, 2168, 7592, 723, 1831, 10169, 4583, 1472, 519, 1158, 269, 2107, 6151, 3791, 268, 709, 837, 18536, 13643, 4083, 630, 14706, 17872, 25135, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 258, 674, 12089, 4826, 1975, 2001, 24637, 6726, 725, 1280, 9605, 10466, 2986, 570, 3471, 1315, 26751, 17632, 692, 8170, 3735, 594, 723, 2919, 3833, 513, 3787, 540, 1719, 538, 670, 10345, 4702, 543, 4481, 1644, 547, 13809, 10644, 4027, 543, 594, 723, 1044, 2469, 998, 513, 2603, 540, 3332, 1644, 547, 13809, 10644, 543, 4481, 1644, 547, 3595, 4027, 780, 2691, 649, 2911, 540, 3595, 4027, 267, 930, 540, 519, 1034, 3102, 4808, 543, 4441, 2919, 585, 3595, 4027, 538, 519, 3114, 1184, 2872, 666, 581, 11911, 547, 519, 834, 13233, 9605, 10466, 5948, 257, 1732, 1634, 676, 922, 27099, 29458, 5183, 269, 4653, 781, 5816, 7127, 2306, 606, 3801, 547, 1683, 9273, 585, 6378, 1216, 10936, 585, 3595, 4027, 540, 13688, 543, 8043, 1759, 593, 741, 1808, 9511, 610, 3337, 543, 607, 829, 519, 4808, 3177, 538, 29458, 5183, 476, 1428, 910, 834, 24092, 585, 4826, 1975, 2001, 674, 12089, 7010, 585, 9605, 10466, 5016, 4131, 721, 2253, 609, 1018, 29458, 5183, 476, 1428, 814, 547, 2161, 585, 834, 309, 525, 17632, 5016, 4089, 476, 278, 269, 275, 269, 273, 269, 272, 281, 4826, 10936, 4927, 581, 4294, 547, 6077, 7252, 630, 10175, 1283, 543, 5377, 7252, 540, 7299, 8043, 264, 693, 513, 2121, 2557, 540, 711, 1447, 982, 476, 271, 269, 1839, 575, 10975, 1315, 10264, 273, 1496, 1015, 269, 273, 630, 299, 26553, 264, 1315, 332, 273, 316, 540, 6534, 2627, 780, 7212, 519, 1657, 3948, 1281, 946, 519, 16166, 6534, 2627, 267, 585, 519, 19160, 540, 12719, 519, 1374, 10936, 1216, 3747, 621, 568, 3339, 547, 2015, 519, 3003, 2627, 1858, 540, 519, 6077, 9991, 538, 513, 3595, 7997, 269, 769, 1249, 267, 519, 2698, 10936, 1216, 3747, 585, 835, 3595, 7997, 786, 581, 519, 2040, 540, 519, 10936, 1216, 10421, 585, 782, 519, 8043, 543, 3937, 538, 602, 3595, 7997, 269, 898, 568, 2705, 2009, 267, 602, 950, 12719, 8445, 3747, 585, 10936, 1216, 585, 519, 3003, 2030, 610, 1770, 782, 519, 3595, 10851, 949, 711, 581, 2808, 8195, 547, 2154, 10936, 1216, 269, 901, 568, 1586, 1759, 593, 519, 3609, 540, 519, 2754, 585, 3595, 4027, 543, 666, 4268, 689, 1747, 547, 1747, 269, 901, 949, 849, 581, 9598, 730, 676, 519, 27152, 1270, 597, 906, 10858, 585, 3595, 4027, 693, 519, 4087, 540, 519, 2030, 610, 1770, 780, 4131, 721, 979, 547, 519, 9819, 851, 585, 10936, 1216, 585, 13688, 1315, 8043, 1759, 593, 519, 9511, 540, 519, 6077, 780, 306, 16577, 9351, 6726, 725, 585, 570, 3471, 1315, 26751, 17632, 1384, 290, 2643, 785, 3740, 609, 598, 673, 8122, 543, 6366, 5377, 1384, 6347, 322, 821, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 11027, 16732, 291, 270, 273, 12684, 306, 2020, 290, 2643, 785, 3740, 609, 476, 273, 281, 272, 11875, 760, 810, 10537, 667, 1639, 661, 2738, 1384, 6347, 273, 281, 272, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 273, 265, 272, 269, 5400, 275, 265, 291, 273, 2020, 6347, 293, 22936, 815, 630, 11027, 265, 291, 265, 299, 264, 1341, 630, 273, 265, 271, 269, 280, 2764, 277, 265, 291, 273, 2020, 8967, 1877, 1384, 306, 2026, 335, 1877, 815, 12631, 265, 291, 273, 692, 3602, 1384, 291, 815, 18924, 2678, 540, 519, 6077, 630, 1097, 331, 5407, 267, 12106, 1070, 10264, 630, 332, 994, 299, 815, 20099, 540, 519, 12718, 630, 11927, 3562, 2389, 534, 1070, 10264, 630, 332, 994, 306, 815, 6215, 656, 4463, 540, 13409, 267, 10264, 630, 332, 2020, 5629, 519, 2627, 1858, 540, 519, 6077, 568, 7229, 267, 9062, 621, 609, 476, 271, 269, 1839, 575, 10975, 952, 596, 616, 12719, 707, 10936, 1216, 3747, 829, 4009, 3952, 630, 4785, 290, 4559, 264, 610, 609, 476, 1015, 269, 273, 700, 26553, 952, 12719, 538, 4009, 7397, 630, 300, 13011, 4559, 6393, 5278, 3549, 2154, 547, 1039, 513, 14345, 593, 519, 7229, 2095, 1813, 547, 17453, 20817, 538, 519, 10936, 1216, 3060, 543, 519, 13546, 977, 4369, 540, 2196, 16365, 1216, 593, 10936, 539, 7252, 269, 15380, 519, 14345, 1031, 568, 476, 1015, 260, 936, 519, 7229, 2095, 780, 2690, 824, 3937, 971, 607, 15450, 543, 14771, 832, 29458, 5183, 476, 1428, 15565, 513, 1114, 10936, 1216, 2557, 543, 2829, 602, 1384, 278, 269, 274, 269, 273, 623, 7927, 267, 3281, 816, 832, 267, 543, 13565, 16811, 281, 623, 7927, 610, 824, 3457, 602, 6023, 1166, 30100, 15559, 610, 9362, 4927, 723, 519, 14788, 338, 267, 20910, 267, 543, 522, 1492, 2565, 2694, 17158, 539, 676, 9859, 1216, 10936, 693, 513, 2121, 2557, 540, 711, 1447, 982, 476, 271, 269, 2004, 575, 10975, 1315, 10264, 273, 1496, 736, 269, 275, 630, 299, 26553, 264, 1315, 544, 273, 316, 540, 15810, 2627, 1858, 540, 519, 3937, 780, 763, 2352, 851, 585, 15450, 543, 14771, 832, 568, 547, 7447, 519, 2627, 1858, 7429, 13688, 1315, 8043, 4171, 2627, 2127, 723, 1044, 7229, 607, 5018, 1657, 269, 594, 1131, 7662, 513, 13809, 10644, 11285, 547, 1683, 930, 5813, 538, 12719, 2627, 2127, 585, 891, 3937, 780, 2690, 519, 8043, 1315, 13688, 851, 267, 594, 723, 2907, 5423, 606, 14133, 23519, 1141, 596, 666, 2824, 519, 6077, 9511, 689, 513, 6749, 16365, 1592, 543, 621, 786, 8850, 5173, 519, 2627, 1858, 585, 519, 5697, 6077, 9511, 543, 3976, 519, 10936, 1216, 10421, 780, 28775, 782, 540, 596, 2972, 713, 5816, 7127, 543, 594, 1413, 4464, 547, 596, 8292, 543, 7422, 780, 8802, 1841, 2676, 2304, 330, 584, 780, 9917, 27323, 454, 2750, 3250, 550, 256, 2336, 1678, 584, 18684, 272, 692, 2750, 3250, 550, 256, 2439, 12552, 780, 2419, 292, 781, 899, 596, 616, 606, 19015, 547, 1732, 8885, 780, 8802, 1841, 2676, 2304, 330, 584, 454, 304, 531, 6387, 630, 290, 1335, 994, 296, 899, 621, 31351, 2336, 300, 663, 752, 454, 296, 1224, 998, 707, 18248, 543, 922, 3833, 4277, 269, 6153, 960, 594, 1590, 1533, 780, 2690, 6802, 543, 26468, 267, 1018, 649, 798, 568, 547, 946, 519, 11640, 1858, 547, 3313, 519, 1216, 3747, 780, 8802, 1841, 563, 289, 18115, 5050, 5816, 454, 17771, 1091, 332, 454, 26594, 543, 13801, 6881, 269, 6153, 960, 267, 1323, 330, 584, 563, 7825, 836, 531, 541, 600, 454, 32091, 1323, 330, 584, 2676, 6624, 7064, 585, 707, 24084, 618, 593, 3595, 1216, 10936, 9273, 563, 9827, 267, 666, 596, 1592, 519, 2188, 547, 581, 2808, 585, 3595, 6169, 532, 540, 519, 16491, 906, 543, 3889, 9991, 538, 519, 23292, 7997, 780, 8802, 1841, 2676, 339, 1695, 597, 571, 5633, 24241, 454, 2171, 2141, 2503, 513, 1390, 543, 8076, 960, 689, 707, 2427, 563, 14187, 16763, 454, 531, 345, 7795, 323, 454, 16591, 960, 454, 992, 531, 454, 628, 3471, 585, 519, 3730, 9623, 269, 1018, 1131, 581, 519, 9819, 585, 519, 10398, 532, 538, 513, 23028, 6728, 286, 519, 1482, 2627, 1858, 9756, 888, 1678, 584, 18684, 272, 454, 992, 531, 10484, 22143, 5183, 476, 1428, 11225, 519, 838, 787, 1216, 10421, 585, 11506, 10612, 986, 4242, 8876, 2789, 12992, 543, 11225, 621, 538, 2474, 540, 678, 531, 1188, 2157, 609, 513, 2582, 24646, 2673, 547, 3446, 8506, 513, 10936, 1216, 10421, 540, 476, 271, 269, 1839, 575, 10975, 1315, 10264, 273, 630, 1015, 269, 273, 630, 299, 26553, 264, 1315, 544, 273, 2020, 8802, 1841, 2676, 2304, 330, 584, 563, 17751, 21815, 296, 667, 11190, 29052, 454, 32271, 7495, 20796, 298, 454, 306, 2752, 2969, 14176, 10422, 14389, 454, 32091, 1323, 330, 584, 2676, 11039, 6045, 1547, 8729, 585, 4687, 692, 306, 541, 4331, 454, 9254, 16037, 9254, 16037, 454, 25802, 1434, 2816, 1323, 330, 584, 454, 332, 1731, 836, 332, 343, 692, 7883, 690, 960, 267, 555, 752, 596, 692, 326, 644, 2816, 692, 328, 723, 835, 2243, 585, 5542, 10936, 30979, 2073, 6343, 568, 519, 6871, 540, 1858, 3795, 1018, 1590, 581, 10936, 539, 267, 568, 972, 1022, 19231, 29845, 538, 519, 562, 325, 11985, 476, 1428, 476, 278, 269, 275, 269, 273, 269, 274, 1109, 3333, 3298, 1152, 476, 277, 10264, 476, 278, 10264, 19437, 1063, 10936, 1100, 26072, 267, 543, 21645, 5815, 30212, 3845, 689, 30979, 547, 8880, 6077, 269, 1934, 538, 1250, 2197, 8128, 723, 519, 2856, 568, 2838, 476, 1911, 260, 3795, 855, 568, 621, 2556, 713, 29845, 568, 22490, 538, 519, 562, 325, 11985, 476, 1428, 2496, 331, 20799, 745, 325, 334, 692, 338, 4157, 9017, 9262, 692, 32091, 1323, 330, 584, 10484, 6624, 1082, 7064, 780, 7093, 332, 303, 692, 11039, 6045, 27205, 269, 2561, 3285, 622, 621, 2439, 2162, 26257, 6250, 6002, 692, 1892, 6931, 327, 16818, 5197, 6795, 279, 454, 9213, 267, 476, 1321, 281, 2764, 7537, 454, 1892, 678, 577, 454, 312, 16518, 267, 476, 6349, 281, 5392, 6751, 454, 312, 16518, 267, 476, 1556, 281, 6078, 7537, 454, 1892, 16384, 528, 300, 1690, 454, 312, 16518, 267, 476, 6021, 281, 5881, 7537, 454, 1892, 546, 332, 9188, 2967, 3707, 276, 454, 312, 16518, 267, 476, 5881, 281, 6187, 7537, 454, 1892, 1325, 668, 534, 454, 312, 16518, 267, 476, 1321, 281, 7918, 7537, 454, 1892, 700, 583, 25206, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1240, 281, 1240, 454, 1892, 1325, 327, 1794, 332, 12685, 272, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1428, 281, 1704, 454, 1892, 18409, 326, 710, 518, 454, 1321, 5463, 476, 1001, 280, 910, 476, 1724, 281, 6321, 0, 9563, 9563, 9563, 10574, 26831, 570, 4459, 344, 19877, 5999, 454, 7462, 589, 5721, 476, 6344, 7397, 1279, 568, 4881, 609, 513, 3432, 540, 476, 2568, 5998, 10774, 337, 269, 769, 1018, 942, 786, 621, 1780, 513, 7911, 945, 568, 4881, 693, 476, 277, 5998, 10774, 337, 538, 519, 4287, 6587, 547, 602, 538, 799, 519, 5721, 568, 2469, 888, 11854, 539, 540, 5721, 3448, 547, 7911, 284, 25464, 2568, 1341, 476, 277, 23375, 5998, 10774, 337, 815, 476, 5780, 5998, 10774, 337, 815, 1496, 5780, 1535, 343, 476, 276, 270, 1240, 316, 319, 544, 270, 5913, 815, 2387, 314, 4649, 270, 274, 316, 319, 544, 270, 5913, 563, 11742, 3144, 547, 1780, 519, 7911, 284, 319, 1496, 6344, 1535, 343, 476, 274, 270, 4649, 316, 319, 3813, 815, 476, 277, 269, 7918, 7643, 454, 7462, 1548, 568, 519, 1871, 540, 524, 2073, 1403, 476, 279, 568, 476, 275, 260, 540, 513, 267, 543, 476, 275, 568, 476, 279, 260, 540, 536, 269, 524, 11224, 536, 21669, 888, 4131, 581, 519, 476, 275, 260, 540, 513, 568, 476, 275, 320, 270, 1911, 269, 4595, 713, 11224, 476, 279, 267, 649, 723, 476, 275, 320, 270, 1911, 284, 279, 269, 14572, 585, 513, 11729, 513, 284, 279, 9943, 319, 263, 1911, 270, 275, 23375, 284, 1220, 269, 4746, 267, 476, 279, 260, 540, 536, 11224, 476, 279, 321, 270, 1911, 267, 543, 713, 11224, 476, 275, 563, 17798, 267, 649, 723, 25464, 279, 270, 1911, 23375, 9943, 321, 284, 275, 269, 14572, 585, 536, 11729, 1109, 536, 815, 476, 2004, 269, 3767, 267, 524, 284, 319, 321, 21669, 319, 284, 319, 2004, 270, 1220, 319, 284, 319, 272, 270, 275, 269, 319, 454, 7462, 623, 543, 1627, 1491, 851, 538, 476, 1911, 544, 5198, 269, 623, 8255, 693, 476, 277, 14790, 874, 269, 623, 3947, 1627, 513, 1376, 540, 476, 279, 544, 543, 1869, 20054, 1864, 676, 476, 279, 7643, 269, 634, 3432, 540, 1627, 568, 912, 319, 14588, 539, 815, 263, 476, 277, 1262, 276, 270, 1240, 264, 332, 270, 5913, 264, 815, 630, 1789, 270, 1240, 264, 544, 270, 5913, 319, 454, 11742, 3144, 676, 623, 547, 3382, 476, 1911, 544, 815, 25464, 1911, 2878, 476, 1240, 270, 1789, 23375, 332, 270, 5913, 815, 2568, 3813, 454, 11742, 3144, 676, 1627, 547, 3382, 476, 10844, 544, 815, 630, 2568, 1341, 476, 279, 264, 815, 476, 6924, 3813, 563, 304, 781, 3432, 815, 319, 2891, 291, 2700, 257, 270, 257, 11742, 257, 1262, 1240, 270, 276, 264, 5998, 874, 815, 263, 10844, 270, 6924, 2878, 476, 1240, 270, 276, 23375, 5998, 874, 815, 476, 275, 269, 10436, 14790, 874, 563, 7462, 4855, 519, 3432, 540, 519, 5721, 267, 952, 513, 5721, 476, 16318, 544, 1279, 10596, 513, 15393, 538, 476, 277, 7643, 563, 11854, 539, 815, 2387, 314, 16318, 270, 277, 316, 319, 544, 270, 5913, 815, 2387, 314, 2537, 269, 277, 2878, 476, 1240, 270, 276, 316, 319, 5998, 10774, 337, 815, 476, 10019, 269, 280, 5998, 10774, 337 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 519, 2132, 547, 1153, 267, 2523, 1282, 513, 6855, 267, 5963, 568, 513, 5912, 1107, 621, 4465, 1406, 581, 899, 1166, 6235, 513, 6467, 563, 5278, 2395, 949, 581, 4443, 982, 1866, 267, 543, 930, 1453, 949, 6023, 519, 2242, 1732, 982, 1866, 563, 2026, 3237, 267, 519, 1655, 3364, 596, 666, 798, 568, 1489, 543, 5000, 707, 1453, 998, 519, 22705, 543, 17498, 267, 4180, 602, 789, 2461, 2111, 547, 1445, 593, 1565, 543, 593, 602, 14724, 540, 3675, 903, 1107, 1175, 1373, 513, 4819, 256, 0, 2467, 616, 2185, 1007, 3211, 547, 948, 596, 581, 811, 9488, 538, 7114, 6970, 10650, 11790, 1247, 849, 9494, 942, 269, 1215, 666, 1004, 2907, 8036, 547, 946, 24135, 305, 5622, 307, 10378, 1451, 547, 946, 891, 3211, 286, 1635, 10283, 538, 513, 476, 3445, 18826, 1357, 14373, 602, 6941, 519, 3211, 543, 3947, 596, 2259, 1210, 873, 547, 2697, 6970, 10650, 11790, 563, 1607, 1357, 14373, 568, 11461, 676, 513, 700, 25893, 14357, 1210, 3619, 2414, 9288, 7566, 269, 2353, 29934, 4315, 631, 19851, 723, 1991, 24135, 305, 5622, 307, 10378, 2866, 547, 7390, 713, 1576, 563, 763, 2185, 3211, 616, 585, 1114, 5686, 540, 13753, 912, 1607, 1357, 14373, 786, 1397, 596, 875, 547, 946, 891, 3211, 547, 811, 4625, 543, 3927, 5581, 6970, 10650, 11790, 538, 1447, 942, 563, 1607, 1357, 14373, 786, 3382, 912, 763, 9115, 540, 519, 2185, 3211, 454, 1692, 547, 946, 513, 4976, 547, 2697, 6970, 10650, 11790, 454, 310, 1779, 10843, 606, 1383, 1210, 513, 4976, 454, 310, 1779, 10843, 606, 1383, 1210, 519, 4976, 1628, 883, 519, 24135, 305, 5622, 307, 10378, 2485, 362, 12229, 454, 17809, 728, 606, 1383, 585, 596, 547, 6218, 1210, 513, 4976, 454, 24718, 707, 2164, 547, 606, 2626, 1883, 454, 4263, 519, 1439, 540, 713, 1357, 14373, 267, 5171, 786, 723, 4121, 912, 1692, 547, 946, 513, 6970, 10650, 16748, 8018, 454, 1692, 519, 4976, 2337, 873, 1020, 513, 811, 2347, 1592, 540, 6970, 10650, 11790, 630, 1652, 6970, 10650, 11790, 15763, 994, 763, 3211, 1118, 621, 4443, 585, 1007, 24135, 305, 5622, 307, 10378, 20305, 547, 1265, 3597, 3123, 543, 1685, 513, 1732, 7634, 269, 1809, 519, 6970, 10650, 16748, 6096, 849, 948, 4810, 3755, 1118, 2386, 789, 723, 4857, 782, 519, 6970, 10650, 11790, 543, 7551, 723, 513, 811, 2347, 3597, 2014, 2079, 563, 20755, 6226, 7714, 568, 513, 24135, 305, 5622, 307, 10378, 21864, 20180, 528, 543, 26189, 528, 543, 814, 476, 2190, 1296, 540, 1995, 538, 8298, 2524, 267, 18815, 267, 543, 23120, 26094, 7341, 269, 7033, 814, 513, 22601, 538, 13188, 543, 5004, 689, 519, 2160, 540, 17906, 563, 20694, 21537, 625, 568, 513, 24135, 305, 5622, 307, 10378, 21864, 20180, 528, 543, 26189, 528, 543, 814, 5722, 1296, 540, 5663, 2359, 543, 10709, 6388, 5718, 543, 729, 606, 4835, 18869, 476, 12010, 272, 10748, 3218, 269, 1261, 814, 513, 29172, 538, 7698, 3163, 543, 7177, 609, 513, 5634, 538, 6355, 10029, 689, 519, 2160, 540, 17906, 269, 0, 17484, 2438, 547, 8419, 454, 1320, 805, 2989, 8419, 2249, 454, 308, 2529, 269, 21784, 2989, 2249, 454, 763, 8419, 28103, 18191, 599, 568, 519, 1152, 2249, 540, 6177, 11658, 7357, 547, 8419, 269, 898, 568, 8200, 593, 28103, 7226, 609, 1880, 4162, 8200, 593, 13350, 23967, 269, 8838, 2711, 7226, 5161, 540, 5493, 5471, 1729, 28103, 609, 16559, 522, 6545, 689, 835, 547, 1614, 7397, 1164, 543, 930, 21048, 1326, 894, 267, 22501, 23761, 269, 1358, 666, 849, 2661, 538, 28103, 2421, 6366, 6229, 338, 952, 519, 12566, 24588, 568, 1930, 269, 7442, 3559, 665, 5448, 1071, 518, 2737, 322, 839, 568, 2808, 6650, 6150, 1813, 547, 30481, 647, 16054, 3850, 7050, 2030, 2208, 538, 1018, 729, 6923, 28103, 543, 2530, 540, 7226, 689, 1646, 563, 4322, 616, 1804, 5152, 18346, 267, 609, 513, 4544, 2212, 267, 12209, 543, 2766, 267, 513, 3043, 11563, 543, 513, 4544, 1412, 928, 1188, 331, 864, 8339, 634, 1394, 543, 17987, 616, 12779, 12457, 269, 4236, 32596, 723, 513, 20585, 6960, 2212, 543, 6960, 1394, 267, 6382, 899, 4079, 563, 25721, 3559, 665, 5448, 1071, 518, 2737, 322, 839, 568, 513, 4759, 540, 519, 4856, 341, 13160, 910, 808, 904, 267, 595, 4900, 1299, 741, 16167, 1920, 563, 2690, 811, 1344, 593, 713, 2249, 267, 3643, 519, 1739, 3095, 912, 306, 3058, 519, 8419, 2480, 13041, 20289, 693, 12397, 601, 6997, 540, 2107, 333, 603, 1108, 3896, 454, 14630, 2594, 2063, 9168, 281, 5463, 476, 6021, 267, 476, 1708, 271, 0, 19185, 693, 8942, 540, 519, 8168, 5742, 538, 519, 4571, 268, 736, 628, 2540, 547, 3888, 2242, 538, 922, 6694, 1062, 14550, 27753, 602, 11478, 693, 602, 942, 1063, 4566, 543, 4641, 269, 4014, 621, 568, 7074, 1934, 602, 713, 1847, 8959, 267, 621, 568, 2312, 602, 8168, 24990, 1705, 711, 20053, 547, 6427, 513, 3542, 5024, 267, 3653, 995, 267, 543, 31877, 6694, 1062, 269, 898, 568, 2312, 602, 519, 8168, 2229, 5156, 602, 676, 2413, 1944, 519, 6694, 1062, 267, 519, 2197, 1131, 2744, 538, 2474, 540, 7607, 269, 634, 4367, 12116, 519, 24984, 543, 14286, 540, 519, 8168, 5742, 538, 922, 7287, 547, 10575, 3424, 519, 2197, 781, 6694, 5823, 269, 898, 24259, 1769, 593, 519, 2188, 602, 8032, 519, 4182, 267, 3226, 875, 10617, 4299, 519, 2197, 543, 875, 519, 1184, 540, 2445, 643, 1436, 729, 15748, 563, 312, 1446, 18623, 1222, 6732, 3340, 513, 20478, 610, 6718, 547, 1569, 519, 2407, 1257, 540, 2835, 1369, 519, 3028, 269, 5398, 3755, 666, 2705, 11884, 3406, 519, 3135, 543, 2070, 519, 7493, 338, 543, 17161, 585, 1142, 1433, 543, 3184, 563, 2252, 596, 1589, 596, 1058, 723, 1569, 547, 713, 2140, 267, 5225, 3346, 707, 7172, 4115, 563, 2414, 23676, 2393, 267, 5225, 2638, 938, 14174, 17988, 2073, 543, 952, 596, 666, 1405, 1265, 519, 2626, 972, 267, 5225, 3346, 721, 269, 0, 19613, 543, 8901, 4162, 540, 4683, 4525, 723, 2673, 3347, 609, 7823, 2520, 14521, 1108, 269, 4746, 267, 4683, 4525, 543, 10239, 616, 15025, 609, 1142, 824, 609, 12105, 2242, 269, 12124, 4087, 543, 4835, 3889, 941, 4646, 543, 4957, 689, 519, 2360, 540, 7823, 2520, 14521, 1108, 269, 1717, 267, 711, 5976, 9227, 519, 2956, 540, 519, 3347, 1063, 4683, 4525, 543, 10239, 267, 972, 941, 1906, 11050, 1382, 593, 621, 269, 1280, 713, 2601, 267, 519, 3483, 540, 713, 1957, 568, 547, 2689, 519, 4162, 540, 8901, 2078, 1063, 4683, 4525, 543, 7823, 2520, 14521, 1108, 27985, 267, 543, 1287, 568, 547, 2263, 519, 2078, 10686, 1227, 269, 1280, 713, 267, 519, 3854, 4872, 538, 519, 1158, 941, 9916, 609, 4683, 2450, 267, 15820, 267, 543, 14282, 7023, 3845, 269, 769, 1840, 267, 519, 8901, 4162, 540, 4872, 538, 3567, 267, 3624, 267, 2136, 2276, 941, 8268, 609, 4683, 2450, 267, 15820, 267, 13506, 267, 543, 2244, 2224, 269, 769, 519, 2013, 540, 3854, 4872, 267, 519, 9756, 1063, 4683, 2450, 543, 15820, 729, 1336, 269, 769, 1840, 267, 649, 1336, 519, 4683, 15820, 267, 2551, 543, 14282, 7023, 3845, 14356, 17047, 538, 519, 2013, 540, 4872, 538, 3567, 267, 3624, 267, 543, 519, 2136, 2276, 267, 543, 519, 4683, 2244, 2224, 3270, 1644, 547, 15820, 543, 13506, 538, 519, 2013, 540, 19864, 267, 19109, 9369, 267, 543, 17865, 8235, 4975, 269, 0, 20329, 22181, 1489, 568, 606, 2949, 5872, 1063, 519, 2247, 543, 519, 1604, 269, 11048, 267, 519, 585, 4707, 1202, 4026, 1890, 538, 27040, 13280, 814, 3366, 547, 9552, 540, 2729, 543, 3601, 17021, 519, 11317, 15602, 269, 4107, 540, 519, 4299, 17069, 864, 568, 9363, 538, 594, 7894, 6682, 1186, 538, 1114, 11280, 2127, 2066, 18004, 334, 267, 14088, 11867, 543, 962, 12786, 630, 10621, 312, 264, 2829, 1247, 930, 25176, 2066, 13280, 8473, 543, 616, 9363, 538, 21345, 13122, 538, 824, 2477, 2282, 13280, 269, 769, 6595, 5468, 267, 519, 2557, 540, 1455, 2790, 4713, 666, 5595, 269, 13834, 1759, 5208, 267, 705, 2265, 687, 267, 543, 14407, 32012, 885, 666, 9594, 5626, 2042, 799, 1491, 1296, 547, 12115, 563, 6097, 547, 715, 4932, 288, 543, 594, 6865, 1239, 2079, 540, 5130, 476, 1708, 271, 267, 519, 10230, 5515, 540, 18378, 2598, 31419, 4658, 630, 2839, 303, 264, 2551, 568, 476, 273, 267, 271, 3374, 267, 22446, 269, 901, 4137, 814, 16934, 519, 1297, 540, 2950, 945, 5063, 19679, 689, 741, 5321, 607, 519, 4323, 814, 4797, 7551, 2810, 519, 840, 25365, 21345, 2551, 2066, 519, 22583, 269, 634, 7887, 9601, 540, 713, 30299, 3510, 616, 1453, 7247, 1034, 540, 873, 616, 8572, 547, 948, 2933, 1282, 519, 726, 697, 269, 634, 2551, 540, 519, 1034, 4299, 971, 607, 1004, 540, 18004, 334, 1533, 814, 4797, 547, 1995, 10770, 5208, 4323, 269, 634, 1004, 723, 1044, 16271, 547, 3978, 1480, 2924, 19374, 676, 519, 6348, 3557, 20331, 6828, 630, 301, 6347, 294, 15426, 634, 5571, 22705, 25973, 814, 3366, 547, 1114, 1480, 1318, 19374, 543, 32012, 885, 538, 519, 3148, 971, 607, 705, 2265, 687, 267, 4638, 6057, 267, 7142, 7365, 267, 581, 3650, 532, 540, 835, 779, 2385, 267, 26164, 18205, 5208, 547, 824, 1920, 2818, 267, 543, 1453, 7142, 883, 11439, 1895, 563, 763, 1453, 19774, 616, 4731, 333, 712, 1639, 267, 7985, 1463, 5945, 267, 543, 1995, 13350, 18205, 19374, 971, 607, 11318, 543, 544, 2727, 532, 267, 4323, 593, 3506, 543, 10506, 267, 705, 9134, 543, 7142, 19684, 883, 11439, 2516, 269, 1452, 723, 1500, 519, 1453, 547, 2661, 538, 4250, 540, 519, 7164, 1813, 547, 519, 4598, 547, 5208, 269, 634, 3003, 3510, 666, 1291, 547, 8401, 15059, 269, 1452, 616, 6353, 609, 4835, 1436, 540, 5208, 267, 14266, 540, 9490, 2623, 267, 1003, 6883, 267, 4250, 267, 543, 21084, 267, 5812, 18596, 540, 8755, 10587, 267, 15280, 1145, 543, 824, 5626, 1072, 2042, 799, 949, 1764, 519, 1072, 540, 519, 1453, 538, 519, 1279, 1107, 2196, 269, 634, 6689, 1198, 540, 1373, 513, 1463, 6408, 540, 22681, 6285, 1223, 581, 14042, 543, 1279, 9434, 609, 8628, 5626, 1966, 17364, 689, 4332, 547, 18273, 543, 547, 519, 15296, 891, 1463, 4598, 540, 1453, 547, 5208, 791, 4202, 741, 5626, 8171, 14156, 543, 5042, 569, 563, 2005, 568, 22317, 547, 917, 602, 519, 5821, 547, 1683, 2500, 5626, 1489, 547, 1453, 6534, 547, 519, 1202, 4026, 1890, 1439, 13377, 741, 2790, 1072, 543, 6971, 519, 3255, 540, 891, 1453, 547, 2661, 513, 11327, 1272, 269, 5753, 4299, 676, 18483, 7985, 4057, 21939, 543, 21260, 1153, 610, 4081, 2773, 269, 9747, 267, 4598, 547, 18483, 3123, 4057, 5834, 2042, 543, 1970, 5042, 4390, 538, 1453, 269, 1520, 14287, 267, 952, 621, 568, 711, 17411, 5265, 267, 621, 949, 1291, 547, 8628, 2790, 1072, 10108, 563, 1103, 2656, 3210, 547, 11574, 519, 1657, 5626, 2042, 267, 8863, 4696, 22851, 519, 1453, 538, 1585, 1272, 1983, 543, 6043, 3292, 547, 2232, 519, 8650, 4250, 267, 1253, 6412, 543, 824, 2790, 1072, 2591, 4611, 689, 519, 16839, 269, 3776, 26447, 1489, 630, 31723, 264, 2238, 616, 1134, 11295, 543, 1134, 2966, 547, 1683, 6043, 543, 6051, 607, 1134, 547, 2232, 519, 26447, 2360, 540, 18483, 593, 30645, 1453, 543, 1866, 945, 6148, 538, 991, 540, 8863, 4696, 779, 5369, 22181, 8081, 2533, 563, 2171, 4497, 1453, 538, 1272, 1983, 2238, 269, 5020, 1983, 616, 5615, 602, 5512, 2043, 547, 9772, 543, 4308, 3927, 609, 519, 7569, 543, 2591, 540, 1272, 269, 8863, 4696, 779, 3358, 519, 3268, 1305, 909, 676, 519, 14959, 547, 2932, 741, 1272, 1983, 563, 268, 11879, 3206, 454, 268, 11300, 3206, 454, 268, 17423, 1818, 454, 268, 9046, 14572, 454, 268, 13229, 2792, 454, 268, 3955, 26051, 2078, 454, 268, 10515, 532, 609, 2566, 454, 268, 10515, 532, 609, 4664 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 328, 568, 5969, 856, 286, 476, 273, 264, 1432, 568, 519, 6574, 2009, 1297, 540, 454, 4375, 269, 4569, 692, 2252, 22123, 4025, 513, 15177, 602, 568, 476, 274, 3952, 476, 277, 6279, 7381, 29691, 513, 10131, 14950, 602, 568, 476, 272, 3723, 476, 279, 6279, 7381, 267, 875, 7381, 786, 519, 3003, 1770, 267, 15177, 543, 10131, 14950, 267, 581, 950, 1352, 568, 2944, 286, 589, 269, 276, 3952, 476, 275, 6279, 645, 269, 276, 3952, 476, 273, 6279, 595, 269, 272, 3723, 476, 279, 6279, 667, 269, 275, 3952, 476, 273, 6279, 645, 286, 476, 274, 454, 2412, 269, 13878, 295, 692, 302, 24249, 568, 4758, 1010, 3993, 513, 1007, 4203, 10740, 538, 519, 3337, 540, 513, 6439, 340, 9771, 24388, 269, 1261, 568, 2469, 547, 16833, 621, 538, 10477, 28277, 1957, 269, 1261, 917, 602, 646, 2115, 4010, 476, 273, 267, 280, 4366, 4009, 6279, 540, 1957, 547, 16833, 519, 16983, 269, 1403, 519, 1035, 340, 336, 10740, 568, 476, 2412, 6279, 1279, 543, 476, 1240, 454, 6078, 269, 2257, 692, 6343, 338, 1250, 4463, 538, 7397, 286, 1250, 4463, 568, 476, 276, 262, 274, 257, 476, 8287, 6279, 1535, 476, 273, 269, 7918, 4699, 30032, 577, 815, 476, 8182, 269, 271, 4699, 815, 476, 272, 269, 7785, 7397, 1411, 1451, 547, 798, 891, 676, 21021, 2079, 269, 1284, 917, 972, 616, 476, 4375, 269, 4391, 6279, 538, 476, 272, 11281, 269, 3689, 267, 6460, 707, 4463, 547, 6279, 865, 649, 616, 7231, 609, 835, 6221, 454, 5655, 269, 13878, 295, 692, 1692, 1082, 10945, 540, 2427, 476, 276, 6279, 666, 581, 2759, 689, 513, 4062, 540, 7047, 565, 2088, 476, 4366, 6279, 1279, 543, 476, 3607, 6279, 2647, 269, 1548, 1858, 540, 519, 1957, 786, 581, 24906, 888, 6246, 269, 13878, 295, 692, 30537, 6953, 7699, 6499, 547, 1711, 513, 21083, 21239, 269, 2701, 814, 1079, 4773, 540, 3574, 267, 799, 616, 476, 277, 6279, 1279, 543, 476, 280, 6279, 1279, 267, 547, 946, 585, 1079, 5011, 540, 519, 6906, 269, 6904, 540, 519, 1739, 27114, 27237, 581, 519, 561, 5460, 540, 519, 3791, 7406, 543, 1946, 286, 513, 264, 476, 275, 6279, 536, 264, 476, 277, 6279, 524, 264, 476, 1724, 454, 4510, 269, 2979, 692, 296, 723, 513, 3349, 609, 713, 9623, 269, 2030, 2208, 281, 10432, 476, 272, 910, 476, 272, 10759, 267, 3018, 273, 910, 275, 6279, 267, 3018, 476, 274, 910, 476, 277, 6279, 267, 3018, 476, 275, 910, 476, 1556, 6279, 267, 3018, 476, 276, 910, 476, 1691, 6279, 7726, 568, 281, 1131, 596, 2503, 519, 2371, 4463, 547, 581, 476, 1015, 6279, 267, 476, 1626, 6279, 267, 610, 476, 1789, 6279, 693, 3018, 476, 277, 286, 11512, 707, 454, 3393, 269, 4569, 692, 1432, 568, 519, 3169, 1297, 540, 476, 273, 10759, 18695, 602, 530, 328, 3514, 538, 513, 14328, 2215, 7893, 476, 277, 6279, 676, 476, 279, 6279, 676, 476, 275, 6279, 888, 5379, 269, 7194, 692, 297, 574, 10326, 23619, 4054, 269, 634, 1611, 3259, 540, 519, 4054, 12349, 729, 476, 6924, 6279, 609, 513, 3044, 11539, 540, 476, 1015, 6279, 269, 13343, 6499, 547, 917, 1018, 2600, 540, 1010, 6455, 941, 811, 982, 476, 10019, 6279, 7381, 269, 1261, 666, 946, 519, 3044, 3339, 3892, 547, 948, 1864, 269, 1261, 12134, 2676, 5325, 269, 4569, 692, 763, 1153, 13561, 2006, 6027, 519, 2230, 2877, 585, 513, 1007, 2780, 6895, 538, 519, 2257, 4055, 693, 476, 736, 476, 274, 270, 275, 6279, 269, 6904, 540, 891, 3800, 568, 711, 811, 5730, 286, 589, 269, 476, 736, 476, 272, 270, 273, 6279, 645, 269, 476, 736, 476, 278, 270, 279, 6279, 595, 269, 476, 736, 476, 1428, 270, 1626, 6279, 667, 269, 476, 736, 476, 2641, 270, 3953, 6279, 454, 4366, 269, 16387, 692, 288, 2985, 540, 513, 1153, 1032, 1433, 568, 476, 279, 476, 272, 476, 273, 6279, 676, 476, 1556, 6279, 269, 634, 2451, 543, 1318, 14345, 616, 476, 274, 543, 476, 273, 476, 272, 476, 273, 6279, 267, 6606, 269, 634, 2230, 1063, 1079, 5961, 568, 476, 272, 476, 275, 10759, 269, 1677, 3514, 476, 274, 5961, 2066, 519, 2985, 267, 875, 2647, 1058, 1142, 4605, 581, 286, 8382, 538, 4559, 540, 454, 5392, 269, 4569, 692, 763, 1153, 13561, 812, 6027, 519, 2230, 2877, 585, 513, 1007, 2780, 6895, 538, 519, 2257, 4055, 693, 476, 736, 476, 274, 270, 275, 6279, 269, 6904, 540, 891, 3800, 568, 10691, 811, 5730, 286, 589, 269, 476, 736, 476, 272, 270, 273, 6279, 645, 269, 476, 736, 476, 278, 270, 279, 6279, 595, 269, 476, 736, 476, 1428, 270, 1626, 6279, 667, 269, 476, 736, 476, 2641, 270, 3953, 6279, 454, 2004, 269, 13004, 692, 288, 25135, 14653, 3800, 476, 273, 476, 272, 270, 273, 6279, 676, 476, 272, 476, 278, 270, 279, 6279, 269, 898, 568, 547, 581, 23762, 865, 602, 519, 3476, 10155, 786, 581, 476, 275, 6279, 7868, 3259, 540, 519, 23762, 10156, 10155, 786, 581, 476, 272, 269, 476, 273, 476, 272, 270, 273, 6279, 476, 273, 269, 476, 273, 476, 276, 270, 279, 6279, 476, 274, 269, 476, 274, 6279, 476, 275, 269, 476, 274, 476, 274, 270, 279, 6279, 476, 276, 269, 476, 274, 476, 276, 270, 279, 6279, 454, 7906, 269, 2979, 692, 1432, 568, 519, 4320, 540, 513, 4216, 602, 666, 581, 2813, 689, 513, 6656, 540, 4496, 602, 3800, 476, 1321, 6279, 676, 476, 1789, 6279, 286, 27539, 972, 568, 1100, 1283, 547, 519, 4216, 563, 7367, 269, 4569, 692, 5938, 7697, 7306, 616, 4330, 676, 519, 3259, 540, 741, 15497, 2268, 269, 1548, 1131, 581, 519, 7396, 2450, 540, 519, 7641, 3254, 286, 630, 1729, 519, 14282, 2898, 10759, 264, 589, 264, 476, 4029, 6279, 645, 264, 476, 3953, 6279, 595, 264, 476, 3607, 6279, 667, 264, 476, 5655, 6279, 634, 1283, 6712, 540, 519, 26725, 568, 476, 2764, 538, 269, 543, 519, 2427, 568, 476, 1428, 269, 278, 454, 7871, 269, 2979, 692, 3553, 1575, 606, 3830, 610, 4082, 547, 2203, 519, 3510, 2630, 281, 1018, 568, 519, 4320, 540, 513, 4216, 602, 666, 581, 2813, 689, 513, 6656, 540, 4496, 602, 3800, 476, 1321, 6279, 676, 476, 1789, 6279, 286, 4500, 518, 972, 568, 1100, 1283, 547, 519, 4216, 563, 7918, 269, 20145, 692, 288, 9059, 7382, 6238, 856, 476, 275, 6279, 538, 3259, 267, 476, 275, 6279, 2647, 267, 543, 476, 1321, 6279, 2620, 269, 1306, 519, 7382, 568, 4904, 267, 621, 4012, 1227, 21040, 8167, 958, 5329, 621, 14328, 1106, 1175, 2462, 2614, 547, 3180, 519, 5277, 269, 1403, 519, 5277, 568, 1373, 29253, 883, 519, 7382, 693, 476, 279, 12945, 454, 4649, 269, 10789, 692, 288, 4216, 609, 513, 19984, 568, 547, 581, 2759, 856, 540, 513, 476, 1321, 10759, 676, 476, 2190, 10759, 6656, 540, 6094, 21312, 676, 5969, 856, 3670, 1535, 20878, 10945, 543, 24208, 873, 269, 1548, 616, 519, 7516, 547, 1079, 8918, 4025, 540, 782, 2009, 10833, 602, 786, 723, 513, 4320, 540, 476, 1911, 12945, 6279, 888, 6321, 269, 2979, 692, 338, 9876, 543, 2328, 514, 14724, 2474, 281, 476, 274, 18126, 476, 272, 3723, 476, 1015, 6279, 266, 476, 276, 18126, 476, 273, 3952, 476, 275, 6279, 476, 279, 18126, 476, 274, 3952, 476, 1691, 6279, 476, 279, 586, 1091, 476, 275, 3952, 476, 273, 6279, 476, 280, 18126, 476, 272, 3723, 476, 273, 6279, 269, 2638, 602, 269, 596, 991, 547, 6460, 3388, 883, 6279, 476, 272, 13452, 815, 476, 1626, 6279, 476, 272, 3723, 815, 476, 1321, 6279, 634, 692, 273, 269, 20717, 5679, 1080, 513, 4009, 24120, 602, 814, 606, 1858, 540, 476, 272, 267, 4335, 4009, 6279, 269, 1548, 568, 519, 16977, 3259, 540, 1142, 2427, 540, 519, 24120, 286, 630, 272, 1448, 264, 476, 1626, 6279, 476, 2767, 6279, 476, 4375, 6279, 476, 5655, 6279, 27355, 1405, 519, 2626, 476, 4375, 6279, 888, 6812, 269, 4569, 670, 5085, 303, 256, 2439, 2419, 3089, 2115, 547, 2759, 513, 4062, 540, 21312, 585, 606, 1148, 1788, 693, 1153, 269, 1261, 814, 2185, 4773, 540, 21312, 602, 646, 666, 2759, 689, 281, 476, 277, 6279, 267, 476, 276, 6279, 267, 476, 278, 6279, 267, 543, 476, 274, 6279, 269, 1403, 519, 3259, 540, 519, 21312, 646, 2115, 568, 20734, 3374, 6279, 267, 799, 4062, 540, 21312, 1058, 454, 6795, 269, 10803, 692, 763, 3892, 540, 513, 3732, 540, 519, 3544, 5603, 4394, 540, 31668, 3154, 12992, 4114, 23660, 513, 27101, 267, 11350, 11057, 3892, 269, 634, 12980, 1611, 568, 476, 1556, 269, 271, 6279, 267, 543, 519, 3044, 11539, 568, 476, 273, 269, 271, 6279, 269, 6168, 476, 6924, 2600, 540, 519, 3544, 5603, 4394, 9114, 1063, 454, 2568, 269, 4569, 692, 2791, 616, 1210, 4837, 17981, 547, 1118, 513, 4605, 7406, 585, 513, 4009, 8523, 609, 5011, 476, 1015, 6279, 1279, 269, 1411, 1616, 519, 7406, 547, 1106, 513, 7833, 8473, 1472, 519, 8523, 269, 1411, 723, 2614, 17981, 547, 3382, 476, 4968, 4009, 6279, 269, 1548, 568, 519, 4102, 2009, 7406, 454, 8618, 269, 10789, 476, 273, 692, 8923, 666, 2576, 948, 803, 609, 891, 2063, 1906, 2055, 593, 1250, 6780, 286, 1411, 1810, 1405, 723, 547, 2285, 606, 2626, 1317, 594, 1131, 1360, 1454, 899, 547, 917, 875, 547, 798, 873, 286, 1323, 1930, 4216, 568, 4646, 676, 5969, 10945, 609, 2427, 13080, 540, 476, 274, 6279, 689, 1142, 7944, 540, 513, 454, 7830, 269, 2979, 692, 311, 29646, 6499, 547, 8631, 513, 13306, 11057, 3723, 560, 944, 602, 3800, 476, 1015, 269, 1839, 6279, 593, 782, 8728, 269, 1548, 568, 513, 1434, 7447, 540, 519, 1297, 540, 12945, 6279, 540, 17371, 30637, 602, 1352, 786, 991, 286, 513, 269, 1175, 936, 476, 272, 267, 28664, 12945, 6279, 536, 269, 1175, 936, 476, 272, 267, 1822, 12945, 6279, 524, 269, 1175, 936, 476, 1789, 454, 8287, 269, 2979, 692, 305, 624, 9771, 6486, 267, 273, 6279, 676, 476, 274, 6279, 267, 732, 2759, 689, 513, 14328, 6656, 476, 273, 3952, 676, 476, 274, 3952, 23130, 568, 519, 6574, 1297, 540, 6486, 602, 666, 581, 2759, 689, 519, 6656, 888, 5038, 269, 2596, 7223, 692, 1492, 15943, 540, 513, 4062, 540, 21312, 568, 476, 4097, 6279, 269, 10945, 7893, 476, 273, 6279, 593, 513, 2427, 616, 2759, 689, 1142, 7944, 865, 602, 950, 519, 5011, 616, 25649, 909, 267, 519, 15497, 540, 519, 4611, 4216, 814, 519, 3259, 476, 278, 6279, 269, 6343, 616, 519, 3312, 7516, 540, 519, 3556, 454, 4792, 269, 2979, 692, 22428, 519, 21496, 11811, 9103, 1023, 585, 513, 930, 2749, 1246, 513, 3339, 3892, 267, 609, 1611, 540, 476, 1240, 6279, 543, 3044, 11539, 540, 476, 277, 6279, 269, 1280, 513, 14477, 5697, 1032, 267, 1018, 568, 519, 5506, 267, 623, 267, 602, 2698, 11811, 786, 581, 538, 1142, 540, 519, 1739, 454, 5780, 269, 18287, 692, 320, 2650, 8670, 814, 3490, 8006, 476, 279, 6279, 543, 1283, 8006, 476, 1015, 6279, 543, 4463, 476, 273, 6279, 269, 1018, 568, 519, 4320, 540, 519, 12210, 286, 798, 594, 798, 621, 865, 3444, 6810, 616, 10945, 286, 948, 8627, 8729, 2439, 288, 4605, 7406, 568, 476, 1321, 6279, 1279, 543, 476, 280, 6279, 2647, 269, 769, 6279, 267, 1018, 568, 519, 15497, 3259, 540, 519, 4605, 7406, 286, 589, 264, 1321, 6279, 645, 264, 1428, 6279, 30995, 595, 264, 279, 6279, 667, 264, 277, 6279, 6904, 1297, 568, 513, 3501, 13306, 286, 589, 264, 274, 645, 264, 1428, 595, 264, 5038, 30995, 667, 264, 6321, 278, 1879, 4946, 4009, 3597, 476, 1839, 543, 910, 280, 2676, 6924, 269, 4569, 692, 2791, 1616, 547, 1711, 513, 4216, 1510, 513, 1283, 689, 606, 476, 279, 269, 276, 538, 676, 476, 1556, 538, 6656, 540, 1957, 269, 1411, 786, 1118, 519, 4216, 676, 5969, 10945, 540, 3160, 2450, 689, 519, 2185, 15174, 540, 519, 6656, 540, 1957, 269, 1403, 596, 1118, 519, 4216, 609, 519, 5021, 2009, 4320, 267, 1018, 786, 581, 519, 3259, 454, 7597, 269, 12980, 692, 297, 617, 328, 568, 5969, 856, 4773, 540, 1957, 602, 2268, 476, 279, 269, 276, 6279, 676, 476, 1556, 6279, 689, 513, 3677, 6656, 540, 1957, 602, 814, 606, 1858, 540, 476, 1911, 271, 4009, 6279, 269, 1548, 568, 519, 1858, 540, 1142, 4062, 540, 1957, 602, 808, 617, 328, 568, 5969, 856, 888, 3583, 269, 7223, 692, 15411, 31795, 4216, 269, 7338, 568, 2469, 547, 1118, 606, 1930, 31795 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 763, 7145, 540, 6870, 2127, 547, 18359, 15195, 24991, 568, 3908, 1317, 891, 2127, 616, 711, 2356, 21412, 609, 6237, 3270, 540, 3165, 2249, 17381, 543, 3892, 269, 1284, 3379, 519, 17381, 267, 3892, 543, 11606, 540, 9381, 15195, 24991, 538, 513, 6915, 613, 4919, 11662, 540, 27816, 547, 3313, 741, 5726, 4567, 269, 1284, 849, 6059, 519, 10083, 540, 4540, 6870, 2127, 538, 25137, 24991, 538, 1114, 28772, 4919, 4559, 543, 29815, 2456, 676, 10442, 2249, 17381, 543, 3892, 269, 634, 476, 747, 20321, 1993, 320, 10044, 630, 7761, 24094, 1421, 9625, 1789, 260, 21049, 267, 9625, 1015, 260, 12219, 264, 729, 7856, 2687, 547, 522, 5766, 1429, 344, 267, 12775, 543, 28772, 4919, 4559, 269, 4107, 6870, 2127, 1185, 3908, 7145, 585, 3165, 5726, 267, 5631, 1317, 789, 941, 1932, 1507, 454, 528, 3769, 1152, 15998, 540, 29815, 2456, 610, 8963, 1137, 267, 610, 1317, 789, 941, 4092, 1152, 538, 1164, 1633, 8963, 1137, 1141, 2249, 4763, 729, 8766, 269, 1677, 18113, 2149, 15195, 24991, 538, 713, 11662, 519, 4540, 6870, 2127, 1058, 581, 9168, 543, 9450, 563, 288, 638, 1738, 9265, 267, 12713, 613, 4919, 11662, 267, 2817, 11614, 267, 26066, 8933, 454, 12606, 13712, 538, 546, 604, 5166, 338, 12043, 281, 0, 288, 27675, 28942, 5752, 814, 9715, 10373, 2956, 538, 15692, 5752, 267, 2523, 950, 649, 1616, 547, 1118, 946, 540, 519, 1297, 540, 4830, 4393, 4559, 630, 13990, 264, 2139, 593, 519, 1034, 2487, 15692, 3457, 563, 268, 4985, 547, 15692, 17738, 454, 268, 27400, 1158, 609, 10753, 6016, 267, 7435, 2401, 543, 7435, 2401, 1320, 1348, 454, 268, 10289, 1306, 2106, 322, 307, 2532, 454, 268, 10289, 20509, 518, 454, 268, 3955, 716, 532, 609, 7896, 454, 268, 2480, 1117, 30389, 4518, 609, 1325, 1301, 10048, 4526, 454, 268, 10289, 16763, 306, 3481, 17526, 16286, 454, 268, 3955, 716, 532, 609, 519, 8416, 454, 268, 27400, 960, 593, 519, 7111, 4494, 454, 268, 31478, 8416, 29568, 609, 717, 13967, 454, 268, 10289, 22084, 1759, 18058, 454, 268, 1306, 2106, 28942, 5358, 532, 609, 681, 343, 297, 6072, 454, 1432, 1411, 4024, 6258, 912, 268, 6258, 827, 519, 15692, 6713, 543, 519, 1970, 1377, 21276, 543, 1617, 603, 1348, 21437, 2139, 593, 15692, 12676, 298, 563, 268, 1215, 547, 946, 1306, 2106, 322, 307, 2532, 547, 4452, 1239, 538, 4282, 12419, 3356, 2164, 538, 519, 29291, 563, 268, 1215, 547, 946, 519, 15692, 20509, 518, 4020, 547, 4452, 1239, 538, 4282, 543, 5838, 909, 547, 4266, 2164, 563, 268, 1215, 547, 3986, 30892, 2773, 543, 30506, 676, 11488, 960, 547, 513, 6796, 4881, 538, 519, 4282, 563, 268, 1215, 547, 1219, 518, 267, 8430, 543, 16801, 960, 593, 519, 15692, 3590, 1510, 18731, 519, 6007, 1272, 543, 3593, 1995, 563, 268, 1215, 547, 946, 519, 808, 25712, 8818, 547, 14892, 21276, 960, 593, 519, 5065, 4494, 563, 268, 1215, 547, 7485, 543, 7903, 1239, 689, 707, 3060, 13763, 1210, 5616, 717, 13967, 25957, 563, 268, 1215, 547, 1711, 543, 17492, 4247, 609, 681, 343, 297, 6072, 547, 14892, 1950, 607, 2106, 28942, 960, 538, 513, 22150, 1259, 563, 7093, 4650, 621, 693, 8835, 454, 5415, 9623, 693, 13268, 339, 14539, 0, 18800, 540, 10374, 1912, 29320, 543, 25103, 2008, 1607, 5623, 3568, 2101, 834, 301, 777, 1961, 4577, 12668, 27324, 1644, 2474, 267, 2110, 2453, 543, 6402, 19882, 1927, 538, 519, 1106, 540, 15610, 2376, 563, 268, 634, 16486, 4577, 12668, 941, 4061, 3283, 602, 6628, 16539, 1804, 5666, 540, 3854, 543, 2200, 547, 3094, 563, 268, 634, 16486, 4577, 12668, 941, 513, 3126, 540, 10617, 10692, 1282, 19167, 12844, 777, 27525, 1412, 338, 4341, 936, 5333, 563, 268, 4438, 16486, 4577, 12668, 267, 519, 667, 1276, 344, 540, 32160, 729, 2813, 676, 19167, 12844, 777, 27525, 856, 540, 14470, 3338, 799, 1185, 1044, 21687, 676, 2398, 17892, 563, 268, 634, 16486, 4577, 12668, 941, 7372, 538, 741, 13664, 9165, 267, 8151, 267, 607, 2484, 607, 6628, 729, 7255, 267, 936, 782, 540, 519, 2947, 17407, 563, 268, 769, 519, 16486, 4577, 12668, 267, 519, 3943, 896, 9947, 582, 4465, 519, 6370, 540, 589, 1962, 656, 525, 538, 476, 5197, 278, 267, 855, 538, 476, 8687, 271, 789, 941, 8572, 547, 1491, 519, 4884, 676, 26362, 563, 268, 634, 6739, 5859, 729, 519, 23801, 7432, 15304, 540, 519, 16486, 4577, 12668, 602, 6038, 3366, 547, 19167, 781, 14710, 543, 24815, 593, 519, 6532, 540, 4432, 9346, 563, 268, 670, 5960, 2558, 514, 1260, 1446, 324, 568, 513, 9576, 13108, 700, 20364, 11665, 22892, 535, 3419, 622, 3710, 16172, 1739, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 4282, 585, 519, 11556, 729, 519, 31341, 6681, 2621, 1282, 519, 16486, 4577, 10617, 538, 519, 4098, 540, 519, 2540, 563, 268, 2991, 519, 1439, 540, 519, 16486, 4577, 12668, 513, 1007, 4436, 9769, 729, 3964, 538, 476, 8687, 276, 563, 268, 634, 11135, 540, 1261, 2812, 6199, 3576, 1747, 538, 476, 5197, 278, 267, 1282, 519, 16486, 4577, 12668, 563, 268, 898, 729, 519, 1034, 1713, 17189, 6370, 540, 519, 16486, 4577, 12668, 543, 519, 11358, 17189, 6370, 540, 519, 476, 866, 628, 2540, 563, 268, 769, 519, 16486, 4577, 12668, 7671, 31060, 729, 13026, 610, 666, 12061, 12184, 1896, 2053, 676, 3943, 10136, 563, 268, 634, 1646, 540, 519, 3864, 14043, 4006, 2872, 729, 9415, 676, 519, 16486, 4577, 12668, 563, 268, 3571, 4651, 267, 26179, 12672, 14551, 681, 22044, 2335, 267, 729, 513, 4057, 13162, 534, 2250, 528, 538, 6601, 1088, 20044, 945, 10692, 538, 519, 16486, 4577, 12668, 563, 268, 634, 1101, 2717, 2988, 1335, 639, 729, 513, 476, 5038, 3766, 684, 3791, 268, 3433, 9250, 538, 476, 9965, 273, 267, 3742, 538, 519, 16486, 4577, 12668, 267, 10736, 547, 513, 8869, 554, 592, 330, 538, 476, 8687, 274, 543, 7745, 909, 538, 476, 9264, 278, 563, 268, 634, 1079, 1922, 532, 619, 2892, 1393, 7902, 538, 14470, 4108, 4229, 4440, 1354, 610, 1282, 519, 16486, 4577, 10617, 267, 610, 25391, 23410, 857, 639, 345, 14150, 1412, 338, 32574, 538, 476, 9692, 275, 563, 268, 634, 3943, 13108, 4797, 547, 7500, 1996, 519, 3703, 689, 519, 5178, 4302, 10003, 338, 2394, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 11135, 540, 519, 5178, 4302, 10003, 338, 729, 513, 17189, 6370, 1282, 519, 16486, 4577, 12668, 563, 268, 769, 476, 9692, 280, 267, 607, 513, 12343, 540, 519, 16486, 4577, 10617, 538, 7977, 267, 519, 667, 4157, 525, 540, 14205, 1195, 2451, 5695, 514, 543, 3576, 9675, 538, 595, 698, 2993, 926, 585, 930, 19939, 1296, 563, 268, 1261, 6039, 1282, 519, 16486, 4577, 12668, 1519, 11184, 6276, 30621, 1412, 338, 16939, 547, 7977, 538, 476, 5197, 277, 563, 268, 3502, 547, 581, 11821, 609, 519, 3943, 12289, 540, 6576, 1282, 519, 16486, 4577, 12668, 267, 1634, 538, 6576, 607, 519, 24686, 5328, 2782, 540, 476, 8687, 273, 563, 268, 7324, 519, 1101, 23262, 941, 25071, 7189, 538, 519, 16486, 4577, 12668, 945, 941, 5097, 7255, 609, 993, 1584, 566, 563, 268, 634, 16528, 29591, 1185, 1044, 538, 946, 585, 811, 982, 513, 2540, 267, 2094, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 634, 7887, 10878, 30322, 599, 321, 7564, 330, 8498, 568, 3474, 714, 327, 267, 6576, 267, 3957, 1310, 3943, 3854, 8303, 267, 1813, 10878, 30322, 599, 321, 7564, 330, 781, 7589, 538, 16486, 4577, 10617, 563, 268, 2353, 729, 547, 581, 25626, 2476, 676, 519, 31341, 602, 729, 547, 16765, 820, 2342, 693, 519, 2490, 540, 519, 2540, 609, 519, 3943, 21829, 543, 16486, 4577, 12668, 563, 268, 634, 29787, 13191, 3243, 523, 5030, 1454, 540, 1200, 1272, 1282, 519, 3943, 21829, 543, 16486, 4577, 12668, 267, 543, 1079, 540, 1200, 14552, 6039, 538, 519, 9576, 13108, 563, 268, 2637, 269, 4165, 334, 710, 28741, 808, 558, 7236, 267, 945, 9916, 519, 16486, 4577, 12668, 538, 2474, 540, 2596, 3741, 543, 540, 5929, 267, 2757, 13137, 563, 268, 634, 3350, 3927, 5747, 538, 476, 8687, 274, 6306, 689, 513, 5618, 32134, 540, 700, 3291, 924, 18941, 538, 476, 8687, 277, 1739, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 4438, 519, 16486, 4577, 12668, 538, 476, 5197, 277, 519, 2749, 729, 5391, 23306, 676, 519, 14470, 10136, 896, 1024, 563, 268, 634, 1931, 2968, 1447, 28191, 699, 1282, 519, 476, 1704, 628, 2540, 267, 855, 7283, 9565, 2394, 922, 27757, 693, 519, 1439, 540, 519, 16486, 4577, 10617, 563, 268, 24955, 24729, 560, 1195, 781, 12473, 2782, 543, 13458, 267, 1305, 1282, 519, 16486, 4577, 12668, 267, 729, 1101, 3370, 538, 6739, 538, 3670, 12531, 689, 476, 5908, 276, 547, 476, 5908, 280, 563, 268, 2991, 519, 1439, 540, 519, 16486, 4577, 12668, 267, 717, 548, 12685, 6308, 729, 13950, 538, 519, 2398, 11701, 8664, 540, 570, 739, 8566, 548, 12685, 6308, 1369, 519, 19435, 540, 590, 3796, 807, 538, 476, 8687, 277, 563, 268, 634, 2749, 5555, 4503, 922, 4123, 543, 23146, 1282, 519, 5756, 17364, 519, 18599, 13012, 262, 2782, 267, 519, 3943, 4838, 543, 519, 16486, 4577, 12668, 563, 268, 2060, 519, 791, 3789, 540, 519, 3625, 1228, 540, 519, 11782, 1282, 519, 16486, 4577, 10617, 972, 729, 606, 791, 28127, 547, 1020, 14043, 585, 741, 4006, 1543, 563, 268, 634, 3943, 7169, 543, 519, 16486, 4577, 12668, 630, 9692, 277, 1700, 8687, 276, 264, 5189, 519, 2093, 540, 7862, 267, 9111, 267, 1876, 543, 4182, 563, 268, 634, 4473, 540, 2093, 540, 18541, 267, 20174, 543, 2648, 585, 835, 781, 1455, 1004, 543, 14940, 267, 2799, 538, 8560, 1282, 519, 16486, 4577, 12668, 563, 268, 3943, 21109, 543, 16486, 4577, 10617, 616, 2808, 513, 1292, 2014, 540, 18541, 538, 519, 4436, 2829, 563, 268, 9737, 476, 8687, 272, 543, 476, 8687, 277, 630, 323, 1005, 519, 16486, 4577, 12668, 1070, 834, 5715, 2158, 807, 257, 3357, 896, 3703, 4341, 855, 729, 8120, 547, 519, 10656, 563, 268, 634, 3703, 13026, 519, 10195, 7466, 1282, 519, 16486, 4577, 12668, 267, 855, 8120, 873, 547, 519, 10656, 538, 476, 8687, 277, 563, 268, 4438, 519, 21829, 543, 16486, 4577, 12668, 267, 519, 476, 272, 560, 2871, 1841, 267, 15385, 547, 26652, 538, 476, 9692, 274, 267, 941, 1851, 519, 1101, 3703, 10136, 547, 2244, 538, 2342, 563, 268, 4438, 519, 16486, 4577, 12668, 267, 24545, 781, 4644, 6603, 922, 9803, 1448, 267, 609, 26652, 1373, 12842, 883, 519, 3943, 7276, 563, 268, 5437, 476, 1626, 910, 16486, 4577, 12668, 281, 11135, 540, 5576, 7238, 978, 571, 828, 333, 910, 678, 11701, 3196, 896, 20045, 1674, 8488, 519, 13287, 676, 3943, 10136, 896, 12653, 520, 563, 268, 4438, 519, 16486, 4577, 12668, 267, 595, 860, 928, 543, 12844, 333, 941, 1312, 13026, 676, 519, 3943, 7952, 267, 538, 5239, 543, 5437, 540, 476, 9692, 275, 563, 268, 3864, 6006, 543, 6125, 5777, 6749, 10511, 527, 3585, 538, 5437, 607, 513, 1267, 540, 4057, 3771, 341, 3949, 538, 519, 12687, 540, 519, 16486, 4577, 10617, 563, 268, 11154, 539, 689, 634, 25511, 267, 513, 3209, 676, 595, 269, 590, 269, 5983, 3122, 267, 519, 4670, 568, 1305, 538, 8050, 1282, 519, 16486, 4577, 10617, 563, 268, 2311, 1101, 646, 543, 1010, 31548, 13986, 547, 11654, 513, 3609, 540, 29591, 538, 519, 16486, 4577, 12668, 563, 268, 634, 16528, 3609, 540, 29591, 1185, 1044, 513, 3811, 835, 585, 811, 982, 513, 2540, 267, 2094, 519, 1439, 540, 519, 16486, 4577, 12668, 563, 268, 2991, 519, 16486, 4577, 10617, 267, 543, 3226, 689, 519, 4571, 268, 866, 628, 2540, 593, 267, 972, 729, 513, 2178, 5397, 1851, 16586, 547, 26595, 782, 4436, 2829, 883, 835, 2197, 563, 268, 634, 4670, 729, 5921, 547, 8300, 519, 16586, 609, 922, 26841, 540, 519, 24123, 2398, 11701, 20237, 540, 519, 2749, 538, 476, 5197, 278, 1282, 519, 16486, 4577, 12668, 563, 268, 16486, 4577, 12668, 281, 11135, 540, 918, 592, 332, 674, 4454, 593, 4864, 476, 1789, 267, 476, 8687, 274, 267, 519, 11135, 540, 918, 592, 332, 729, 513, 29663, 11802, 602, 7018, 1282, 741, 18956, 689, 667, 637, 6577, 563, 268, 1809, 676, 519, 3943, 21829, 543, 16486, 4577, 12668, 267, 1256, 713, 1599, 729, 538, 18956, 267, 543, 1906, 476, 2004, 338, 941, 3710, 563, 268, 2701, 4718, 3028, 538, 519, 1977, 21829, 267, 3943, 21829, 543, 16486, 4577, 12668, 267, 543, 10692, 538, 1082, 540, 519, 2101, 17189, 12959, 540, 1346, 7526 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2767, 912, 2018, 1582, 27863, 3488, 271, 269, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3299, 1412, 271, 269, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 3066, 277, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 2764, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2764, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2764, 912, 2018, 1582, 27863, 3488, 271, 269, 2568, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 272, 3299, 1412, 271, 269, 2568, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 16318, 5952, 278, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3066, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3066, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3066, 912, 2018, 1582, 27863, 3488, 271, 269, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 4029, 271, 4097, 4366, 273, 279, 3299, 1412, 271, 269, 6812, 277, 18684, 8660, 277, 4649, 272, 278, 2190, 15389, 280, 4029, 271, 4097, 4366, 273, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 1789, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 1789, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 1789, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 5780, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 3299, 1412, 271, 269, 276, 5780, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 26116, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4029, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4029, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4029, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 4350, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 273, 3299, 1412, 271, 269, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 4350, 276, 4366, 4343, 278, 6021, 277, 6507, 275, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3953, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3953, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3953, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 4029, 1839, 3299, 1412, 271, 269, 276, 4029, 1839, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3451, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3451, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3451, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 273, 3299, 1412, 271, 269, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 14681, 276, 1428, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4097, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4097, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4097, 912, 2018, 1582, 27863, 3488, 271, 269, 276, 3299, 1412, 271, 269, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3374, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3374, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3374, 912, 2018, 1582, 27863, 3488, 271, 269, 4366, 276, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 3299, 1412, 271, 269, 4366, 276, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 1691, 26326, 278, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3607, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 3607, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 3607, 912, 2018, 1582, 27863, 3488, 271, 269, 5325, 273, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 273, 3299, 1412, 271, 269, 5325, 273, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 19442, 273, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4391, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4391, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4391, 912, 2018, 1582, 27863, 3488, 271, 269, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 276, 3299, 1412, 271, 269, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 3393, 280, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4343, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4343, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4343, 912, 2018, 1582, 27863, 3488, 271, 269, 4510, 278, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 272, 3299, 1412, 271, 269, 4510, 278, 3607, 279, 275, 2641, 32180, 277, 4029, 276, 4281, 280, 5325, 3607, 279, 275, 2641, 272, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4375, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4375, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4375, 912, 2018, 1582, 27863, 3488, 271, 269, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 280, 3299, 1412, 271, 269, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 8660, 278, 31973, 280, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 2412, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 2412, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 2412, 912, 2018, 1582, 27863, 3488, 271, 269, 28883, 3299, 1412, 271, 269, 28883, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 6078, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6078, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6078, 912, 2018, 1582, 27863, 3488, 271, 269, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 276, 3299, 1412, 271, 269, 29300, 277, 4097, 16409, 30130, 5379, 274, 29300, 277, 4097, 16409, 30130, 276, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 5655, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 5655, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 5655, 912, 2018, 1582, 27863, 3488, 271, 269, 29024, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 279, 3299, 1412, 271, 269, 29024, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 278, 8618, 3445, 275, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 6246, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 6246, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 6246, 912, 2018, 1582, 27863, 3488, 271, 269, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 3299, 1412, 271, 269, 4375, 276, 4097, 279, 279, 4391, 20385, 23714, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 4510, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815, 476, 4510, 454, 1038, 1582, 4732, 793, 815, 23367, 7055, 1038, 952, 1582, 8542, 636, 272, 2652, 476, 1704, 543, 1582, 4732, 793, 2652, 26230, 543, 1582, 8542, 636, 273, 2652, 476, 4510, 912, 2018, 1582, 27863, 3488, 271, 269, 4343, 277, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 275, 3299, 1412, 271, 269, 4343, 277, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 3607, 274, 277, 3607, 275, 5073, 5035, 6726, 566, 14818, 19111, 318, 1704, 5091, 643, 1707, 318, 3393, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1449, 318, 20412, 566, 4311, 2187, 1038, 1582, 8542, 636, 272, 815, 476, 1704, 454, 1038, 1582, 8542, 636, 273, 815 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4305, 2016, 547, 873, 543, 1053, 723, 519, 6891, 538, 1272, 3529, 1317, 1272, 568, 513, 5198, 563, 312, 3641, 5600, 281, 898, 20186, 968, 297, 1195, 892, 1107, 799, 11414, 1453, 827, 1272, 4245, 602, 1053, 1058, 581, 8797, 543, 2186, 547, 1169, 1373, 543, 547, 1521, 3025, 8449, 563, 16675, 5600, 281, 898, 20186, 968, 28775, 892, 2760, 9561, 4126, 2901, 538, 3756, 267, 2238, 610, 538, 1483, 1272, 1547, 6904, 28093, 32079, 538, 1053, 547, 798, 782, 519, 2016, 11645, 609, 3592, 19969, 543, 12582, 1406, 13587, 633, 24455, 538, 1272, 563, 1103, 713, 6073, 267, 782, 891, 968, 9816, 4785, 2464, 892, 538, 1529, 322, 622, 1434, 5837, 2418, 543, 3992, 1851, 519, 1053, 0, 17138, 281, 1133, 557, 4979, 519, 18266, 281, 1215, 547, 13782, 622, 998, 519, 5680, 540, 1546, 4003, 454, 1103, 2221, 779, 3728, 19550, 1158, 267, 621, 666, 581, 4101, 547, 20559, 1249, 689, 5708, 269, 2060, 519, 4473, 540, 1514, 2923, 267, 3377, 19093, 267, 543, 2229, 6898, 267, 621, 779, 2629, 547, 2226, 513, 26617, 14820, 543, 3343, 519, 5168, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 24245, 13587, 527, 1369, 2923, 267, 2229, 267, 543, 9746, 3013, 543, 1683, 596, 609, 3407, 4388, 547, 10625, 519, 1483, 1650, 3297, 519, 8673, 543, 19141, 563, 4462, 30584, 532, 519, 9012, 912, 295, 273, 281, 1546, 24554, 532, 11572, 2717, 3149, 1107, 9484, 541, 908, 18266, 689, 28294, 1637, 454, 295, 274, 281, 4197, 6341, 7204, 4437, 553, 543, 4706, 8177, 454, 303, 11823, 1135, 3149, 723, 1831, 513, 11342, 1907, 585, 5935, 1857, 6644, 269, 1717, 267, 621, 779, 1898, 547, 2007, 4514, 543, 5659, 741, 16097, 547, 1174, 519, 6111, 540, 519, 2164, 269, 3509, 1135, 3149, 7985, 689, 10386, 9186, 267, 1141, 519, 5697, 7535, 540, 17013, 949, 711, 8308, 2099, 519, 2551, 269, 5901, 519, 1739, 538, 2247, 950, 16208, 2797, 1135, 3149, 912, 1700, 25826, 519, 3732, 2450, 281, 589, 3677, 3732, 2450, 11148, 547, 581, 811, 11347, 563, 1700, 10576, 1761, 15295, 12886, 281, 3550, 602, 519, 3732, 4564, 513, 3309, 2039, 540, 2085, 2516, 267, 6803, 885, 267, 543, 8739, 20300, 10080, 563, 1700, 6333, 519, 14345, 540, 5470, 281, 589, 3542, 779, 6015, 8884, 6920, 519, 2039, 538, 799, 519, 3020, 2551, 1871, 6013, 563, 295, 275, 281, 5517, 4211, 515, 9535, 4750, 1143, 1107, 1133, 557, 4979, 519, 3397, 12629, 454, 22711, 1143, 4249, 513, 4105, 1909, 538, 26655, 519, 1857, 267, 855, 12886, 543, 6456, 989, 31789, 666, 512, 5593, 519, 1344, 4843, 269, 1677, 6330, 998, 21678, 8989, 267, 2015, 891, 2994, 912, 1700, 9061, 3146, 12401, 2789, 2959, 281, 14424, 519, 1482, 1650, 689, 1114, 3377, 19093, 547, 2744, 513, 6626, 5133, 563, 1700, 5517, 27902, 6811, 281, 15750, 2572, 899, 5517, 13425, 3820, 543, 7971, 328, 15542, 1683, 28102, 2079, 540, 6898, 1500, 676, 14761, 543, 1857, 5515, 563, 1700, 16418, 3309, 16752, 281, 18918, 609, 4244, 610, 4830, 3377, 2959, 547, 2263, 1114, 5380, 543, 2057, 16079, 20830, 563, 2750, 19397, 6554, 1546, 4003, 912, 295, 273, 281, 6837, 1308, 670, 792, 902, 1107, 5463, 5317, 519, 18266, 454, 295, 274, 281, 20876, 11572, 26308, 454, 17812, 816, 1308, 5873, 902, 616, 1419, 4843, 607, 3255, 547, 796, 24160, 6456, 18408, 267, 855, 789, 666, 849, 581, 5867, 585, 2797, 2022, 1005, 269, 13773, 21713, 676, 1739, 891, 4808, 912, 1700, 9796, 3007, 547, 519, 24500, 281, 13760, 519, 2797, 28930, 725, 543, 4690, 540, 519, 2043, 3238, 563, 1700, 21302, 15819, 2553, 281, 19415, 585, 3056, 2055, 610, 6264, 9227, 12485, 602, 949, 31818, 3007, 2476, 689, 519, 1483, 2152, 563, 1700, 5517, 27902, 6898, 281, 7638, 1518, 6811, 1500, 676, 22168, 610, 14761, 538, 5873, 902, 547, 5094, 5168, 689, 12879, 563, 295, 275, 281, 15766, 894, 4750, 1143, 1107, 24613, 15332, 24722, 15881, 2510, 454, 4407, 4013, 6898, 616, 2556, 585, 1620, 2229, 3527, 267, 789, 798, 711, 2141, 5862, 519, 2407, 4605, 269, 6333, 891, 12485, 547, 5490, 4514, 912, 1700, 31385, 4244, 2959, 281, 18299, 523, 20859, 543, 4830, 22602, 949, 2709, 4030, 543, 5380, 15763, 676, 13416, 2923, 563, 1700, 6226, 883, 1857, 5638, 281, 6554, 6054, 267, 2883, 12607, 17007, 267, 543, 5480, 5638, 666, 1683, 3407, 1344, 25848, 3293, 538, 4013, 6386, 563, 1700, 22982, 15213, 540, 6176, 2920, 630, 23859, 8656, 264, 13668, 281, 29332, 8656, 2636, 2043, 547, 3489, 2229, 5638, 602, 616, 711, 9286, 610, 23614, 539, 689, 23930, 563, 290, 2734, 622, 3013, 281, 19992, 519, 4354, 1555, 912, 295, 273, 281, 1133, 557, 4979, 23654, 5940, 10407, 570, 716, 923, 454, 295, 274, 281, 634, 3203, 540, 5682, 31290, 454, 6624, 3549, 3409, 547, 581, 13476, 6857, 267, 855, 711, 782, 2661, 909, 547, 741, 6725, 20116, 269, 3680, 9991, 585, 3039, 31290, 676, 14139, 519, 1739, 2994, 912, 1700, 3194, 3791, 18407, 24501, 281, 6733, 585, 20774, 2787, 689, 18019, 3906, 971, 607, 12876, 11780, 267, 19845, 3633, 267, 610, 645, 17620, 563, 1700, 2480, 337, 583, 514, 1125, 6940, 6811, 281, 25826, 3549, 685, 4890, 2853, 543, 12001, 8989, 547, 2327, 789, 5447, 609, 741, 29064, 2418, 563, 1700, 6733, 3564, 11183, 281, 19889, 7888, 11183, 949, 1711, 519, 21903, 540, 6940, 267, 855, 621, 568, 1898, 547, 8495, 513, 2754, 779, 3003, 3761, 5832, 563, 295, 275, 281, 19078, 19901, 1143, 1107, 26472, 3690, 10337, 543, 10055, 1464, 454, 2026, 6800, 267, 649, 723, 519, 1379, 547, 3310, 9746, 2623, 269, 7427, 891, 4388, 547, 1489, 5683, 4213, 543, 6536, 513, 2528, 540, 11413, 912, 1700, 26875, 1125, 2199, 543, 4830, 4213, 281, 1358, 1419, 723, 6793, 4296, 547, 741, 2950, 543, 616, 811, 18177, 547, 741, 5561, 563, 1700, 3447, 622, 3054, 827, 3761, 11800, 281, 8081, 3549, 609, 12001, 27126, 543, 4023, 4074, 2853, 563, 1700, 18918, 538, 3743, 10115, 281, 6333, 10115, 538, 3549, 602, 4225, 1514, 543, 2825, 5539, 563, 7069, 476, 273, 595, 757, 912, 1103, 513, 1158, 22125, 609, 25749, 267, 519, 5539, 6013, 609, 721, 547, 3343, 519, 5168, 269, 1635, 14139, 2565, 3206, 267, 1249, 19295, 9535, 267, 543, 4129, 4328, 938, 2959, 540, 1344, 267, 649, 666, 6330, 519, 1357, 540, 26760, 269, 1306, 4961, 267, 649, 1590, 3180, 2923, 19093, 267, 2229, 9988, 267, 543, 14078, 18177, 585, 741, 3527, 269, 8625, 267, 649, 666, 1711, 513, 811, 5483, 543, 12001, 2486, 269, 0, 288, 13849, 2091, 568, 513, 5691, 1158, 602, 6818, 2228, 543, 666, 581, 15600, 676, 4896, 609, 606, 4950, 4276, 269, 898, 568, 513, 476, 274, 291, 1158, 602, 568, 3710, 543, 9738, 676, 922, 3755, 543, 666, 581, 1031, 585, 4376, 689, 1514, 1944, 543, 11080, 547, 2324, 543, 10918, 563, 19465, 513, 13849, 2091, 568, 1100, 1507, 4305, 267, 855, 972, 616, 513, 1906, 1883, 1919, 602, 991, 547, 581, 6854, 538, 2247, 538, 1931, 547, 1118, 621, 513, 1967, 269, 17616, 267, 519, 13849, 2091, 1590, 581, 2966, 547, 581, 3593, 7888, 543, 2653, 547, 6330, 269, 19627, 267, 621, 1590, 581, 7683, 8242, 543, 9738, 538, 1931, 547, 1832, 3755, 5461, 269, 1656, 6368, 267, 621, 1590, 581, 20651, 609, 513, 3099, 540, 1543, 543, 2238, 547, 9029, 547, 513, 2647, 2039, 540, 3755, 563, 1103, 519, 7706, 540, 2029, 543, 5691, 2833, 267, 519, 2165, 968, 5471, 320, 2091, 892, 814, 1044, 1818, 6329, 25015, 269, 898, 779, 513, 1523, 602, 814, 9676, 519, 4337, 5209, 540, 1099, 5505, 267, 13777, 584, 1235, 267, 543, 1256, 519, 2489, 1857, 269, 1809, 1018, 4010, 568, 519, 13849, 2091, 267, 543, 1946, 568, 621, 10451, 865, 1454, 10761, 286, 769, 713, 5816, 2022, 267, 649, 3580, 4685, 2620, 883, 519, 13849, 2091, 543, 2263, 922, 4214, 267, 1761, 267, 543, 6286, 563, 4415, 891, 1919, 538, 2247, 267, 3384, 513, 3811, 13849, 2091, 568, 1369, 3914, 269, 1924, 1205, 3323, 2221, 267, 543, 945, 6487, 1018, 596, 1522, 1628, 2336, 9377, 1456, 26426, 2091, 5691, 1158, 454, 288, 13849, 2091, 568, 513, 5691, 1158, 602, 6818, 593, 519, 5769, 269, 898, 568, 513, 10770, 267, 3838, 2230, 1141, 3755, 666, 2170, 609, 1142, 824, 543, 609, 519, 1604, 1472, 873, 269, 589, 13849, 2091, 666, 581, 1031, 585, 513, 3099, 540, 5301, 267, 1519, 1514, 13033, 267, 2228, 11080, 267, 543, 1870, 5698, 563, 300, 9508, 951, 525, 616, 1419, 3379, 547, 2757, 3381, 3756, 610, 5691, 10600, 267, 855, 972, 616, 930, 1883, 3604, 269, 3689, 267, 513, 13849, 2091, 568, 2966, 547, 581, 10853, 543, 1825, 15344, 267, 1247, 1869, 3246, 513, 1164, 4110, 540, 2170, 2032, 543, 8112, 269, 5822, 267, 513, 13849, 2091, 568, 5497, 547, 581, 1031, 676, 513, 1804, 1297, 540, 1004, 693, 519, 1482, 942, 267, 6466, 1034, 3381, 3756, 616, 2966, 585, 2582, 268, 16651, 610, 1507, 3818, 16651, 2833, 269, 7053, 267, 513, 13849, 2091, 568, 7683, 9687, 543, 3395, 267, 609, 1007, 1543, 543, 2934, 1373, 3773, 593, 513, 2834, 4493, 563, 2414, 2417, 12172, 543, 12927, 519, 4214, 540, 519, 13849, 2091, 267, 1577, 779, 5490, 4514, 883, 922, 3334, 543, 29782, 269, 634, 13849, 2091, 568, 711, 8806, 513, 5691, 4641, 610, 21284, 4641, 1995, 282, 621, 4422, 3564, 602, 269, 898, 568, 606, 27763, 543, 10562, 3060, 540, 3059, 26441, 1141, 2043, 666, 23365, 2933, 538, 5691, 5054, 267, 2170, 609, 1866, 267, 543, 4497, 609, 513, 2647, 5044, 540, 3059, 1543, 543, 2533, 563, 4263, 922, 4295, 267, 519, 13849, 2091, 568, 513, 23314, 540, 938, 7287, 585, 513, 811, 10562, 543, 15138, 3059, 1158, 269, 898, 568, 513, 2230, 1141, 519, 6302, 1063, 2168, 543, 3059, 19178, 20747, 267, 2870, 1007, 3255, 585, 2792, 267, 3408, 267, 543, 1582, 22325, 269, 769, 519, 13849, 2091, 267, 3755, 723, 519, 5191, 547, 5581, 741, 1285, 520, 1513, 267, 1711, 5691, 1268, 553, 267, 543, 6330, 998, 513, 5318, 5044, 540, 3059, 8916, 543, 2833, 563, 763, 13849, 2091, 568, 711, 3908, 547, 513, 2582, 3760, 610, 2029, 282, 621, 568, 513, 7583, 332, 1588, 540, 1585, 4066, 2324, 538, 10103, 269, 898, 10905, 2609, 540, 5841, 4987, 267, 5691, 4641, 267, 21284, 4641, 267, 9893, 267, 543, 519, 4950, 540, 1919, 547, 1711, 513, 3638, 543, 7317, 3059, 5117, 269, 898, 568, 606, 2479, 21608, 1523, 602, 11179, 24864, 519, 6302, 540, 1018, 568, 2009, 538, 519, 3059, 7706, 563, 1103, 9759, 267, 519, 13849, 2091, 4564, 513, 17565, 6521, 538, 875, 649, 13498, 543, 4497, 609, 519, 3059, 1158, 269, 898, 25186, 519, 7687, 540, 2168, 2230, 267, 3850, 721, 547, 2263, 267, 1921, 267, 543, 12840, 593, 513, 2518, 4336, 269, 898, 10741, 909, 1007, 18817, 585, 5876, 267, 5647, 267, 543, 1480, 5872, 563, 2026, 649, 1847, 4464, 267, 621, 568, 1271, 547, 3314, 602, 519, 13849, 2091, 568, 711, 513, 11397, 5326, 610, 513, 2484, 1922, 564, 3481, 1523, 269, 898, 568, 2907, 2921, 3337, 538, 1585, 3029, 543, 3156, 267, 543, 922, 3310, 786, 1152, 3136, 547, 1332, 269, 1635, 1620, 543, 8508, 519, 1761, 540, 519, 13849, 2091, 267, 649, 666, 6330, 713, 1007, 3059, 20281, 609, 7279, 267, 5539, 267, 543, 606, 26772, 7029, 547, 5935, 513, 2104, 602, 2640, 721, 782, 563, 1692, 547, 1628, 513, 13849, 2091, 5691, 1158, 888, 2467, 568, 1100, 835, 2626, 547, 713, 2243, 267, 607, 972, 568, 1100, 835, 1259, 547, 1628, 519, 13849, 2091, 269, 1717, 267, 972, 616, 513, 1906, 1883, 2609, 602, 616, 2556, 585, 1022, 3811, 3801, 693, 2870, 513, 5691, 1158, 602, 13147, 923, 610, 20489, 519, 1483, 1158, 538, 2474, 540, 4336, 267, 6988, 267, 543, 21599, 563, 5575, 267, 621, 568, 1271, 547, 723, 513, 2312, 543, 8903, 5075, 585, 519, 13849, 2091, 269, 1548, 568, 621, 602, 596, 1616, 547, 1711, 286, 1548, 4990, 540, 1995, 798, 596, 1616, 3755, 547, 723, 286, 1548, 786, 1118, 707, 5691, 1158, 2189, 543, 4502, 9683, 286, 4495, 596, 723, 513, 2178, 2631, 540, 519, 2949, 1523, 267, 596, 666, 2253, 547, 2322, 1927, 519, 1367, 4773, 563, 9202, 267, 596, 3580, 991, 547, 1711, 513, 7347, 543, 8465, 5989, 602, 666, 1489, 513, 1804, 1297, 540, 3755, 543, 513, 2647, 3099, 540, 2238, 269, 901, 786, 2154, 513, 1713, 5092, 540, 942, 543, 2200, 267, 855, 621, 568, 1898, 547, 2870, 513, 13849, 2091, 602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 6507, 275, 1496, 13707, 476, 14625, 276, 316, 13158, 902, 476, 271, 22227, 476, 6507, 275, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 303, 454, 272, 454, 299, 454, 32622, 476, 278, 1789, 1496, 13707, 476, 26341, 274, 316, 13158, 902, 476, 279, 22227, 476, 20981, 769, 10903, 725, 476, 271, 6732, 454, 306, 454, 299, 454, 303, 454, 303, 454, 303, 454, 272, 454, 303, 454, 299, 454, 32622, 476, 5379, 278, 1496, 13707, 476, 8064, 272, 279, 316, 13158, 902, 476, 1556, 22227, 476, 3374, 278, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 4510, 272, 1496, 13707, 476, 5325, 273, 316, 13158, 902, 476, 271, 22227, 476, 272, 769, 10903, 725, 476, 4510, 5510, 1467, 454, 306, 454, 299, 454, 299, 454, 272, 454, 32622, 476, 6110, 1496, 13707, 476, 277, 4029, 277, 316, 13158, 902, 476, 277, 22227, 476, 22430, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 25228, 1496, 13707, 476, 25228, 316, 13158, 902, 476, 272, 22227, 476, 14838, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 26631, 1496, 13707, 476, 27183, 316, 13158, 902, 476, 272, 22227, 476, 25546, 769, 10903, 725, 476, 271, 5510, 1467, 454, 306, 454, 299, 454, 32622, 476, 25546, 1496, 13707, 476, 22550, 274, 316, 13158, 902, 476, 274, 22227, 476, 6245, 769, 10903, 725, 476, 271, 5510, 1467, 454, 265, 1401, 11079, 15645, 2209, 543, 3105, 454, 7773, 2996, 630, 25147, 994, 12709, 1923, 13555, 1923, 18248, 1923, 6168, 1923, 16301, 1923, 21041, 1923, 9736, 31947, 5549, 269, 0, 258, 14581, 6435, 281, 15531, 519, 12045, 540, 513, 1599, 780, 272, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 17843, 5573, 1384, 344, 815, 476, 275, 476, 279, 18414, 343, 317, 273, 692, 16920, 3319, 547, 4194, 519, 1966, 780, 325, 1412, 630, 343, 264, 815, 476, 275, 3287, 317, 273, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 1535, 9745, 268, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 6543, 485, 476, 272, 24474, 9745, 476, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 476, 273, 270, 1535, 317, 277, 2020, 325, 1412, 630, 343, 264, 815, 476, 279, 24474, 9745, 476, 277, 692, 296, 723, 1100, 2856, 952, 713, 568, 519, 1318, 2626, 267, 1813, 547, 519, 1249, 602, 713, 568, 606, 2228, 2789, 3903, 2243, 585, 6780, 267, 543, 594, 1131, 723, 547, 4584, 9039, 540, 519, 1657, 269, 9046, 568, 267, 594, 723, 1044, 834, 333, 821, 540, 519, 1657, 257, 585, 1169, 2243, 865, 2484, 267, 543, 594, 6415, 3206, 594, 6415, 3257, 21739, 4636, 267, 1256, 1498, 594, 1810, 1405, 1294, 621, 269, 7102, 948, 1131, 581, 15874, 780, 8310, 12995, 281, 4239, 476, 2537, 267, 476, 1001, 273, 454, 273, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 763, 1259, 596, 5206, 713, 568, 513, 2370, 14845, 269, 1772, 519, 1966, 2854, 1384, 259, 344, 815, 476, 275, 1422, 6912, 314, 279, 31765, 343, 3867, 273, 32556, 2496, 274, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 8133, 267, 20994, 585, 519, 10539, 780, 275, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 302, 330, 267, 1100, 19048, 269, 3973, 649, 723, 1384, 259, 325, 3287, 264, 815, 476, 275, 1535, 17353, 2765, 346, 273, 2410, 279, 3686, 815, 476, 275, 1535, 17353, 2765, 346, 272, 2410, 275, 32556, 259, 325, 21948, 343, 264, 815, 1422, 2765, 346, 272, 2410, 275, 348, 476, 275, 1535, 17353, 2765, 24877, 274, 2410, 275, 32556, 259, 325, 21948, 343, 264, 815, 1422, 2765, 346, 272, 2410, 343, 17353, 2765, 346, 274, 2410, 275, 3686, 10592, 2005, 3085, 1405, 723, 547, 581, 2854, 713, 3169, 1259, 1498, 267, 865, 621, 781, 909, 547, 596, 547, 4137, 856, 952, 835, 540, 519, 3681, 568, 2953, 269, 4746, 267, 519, 12161, 596, 1500, 729, 602, 596, 12628, 519, 476, 279, 538, 519, 14009, 1063, 519, 476, 274, 6113, 543, 476, 275, 628, 3268, 780, 276, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 20148, 2006, 2767, 692, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 630, 273, 270, 279, 264, 6543, 485, 476, 272, 24474, 9745, 476, 277, 270, 279, 2020, 325, 1412, 630, 343, 264, 815, 476, 275, 630, 476, 273, 270, 1535, 317, 277, 2020, 2414, 12172, 1141, 596, 12161, 729, 267, 3314, 602, 519, 476, 273, 526, 476, 279, 568, 538, 519, 20800, 267, 865, 621, 781, 711, 851, 540, 519, 8454, 596, 941, 14921, 269, 634, 2034, 1900, 1934, 1058, 723, 1044, 1384, 259, 325, 21948, 343, 264, 815, 476, 275, 7268, 2765, 346, 273, 2410, 279, 1535, 17353, 2765, 346, 277, 2410, 279, 3686, 16585, 6911, 10190, 596, 1223, 2569, 2417, 543, 723, 519, 2953, 2626, 780, 277, 269, 4239, 476, 2537, 267, 476, 1001, 273, 692, 2162, 23193, 20969, 692, 296, 1294, 267, 9684, 596, 1360, 1454, 256, 2334, 2306, 1454, 811, 2631, 1631, 269, 0, 258, 3657, 12825, 338, 9971, 3252, 2496, 2467, 568, 513, 2462, 3017, 1063, 606, 12825, 1599, 543, 513, 9971, 269, 634, 1599, 533, 3287, 264, 815, 1535, 274, 568, 513, 9971, 269, 3371, 519, 968, 19702, 762, 5608, 1535, 267, 568, 1373, 6659, 547, 930, 3586, 1379, 269, 634, 1599, 535, 3287, 6661, 274, 343, 568, 606, 12825, 1599, 282, 519, 4756, 568, 519, 20800, 780, 1012, 3657, 7750, 923, 9971, 3252, 2496, 288, 9971, 1599, 568, 513, 1599, 971, 607, 513, 13392, 267, 513, 12945, 267, 513, 14415, 545, 267, 543, 865, 593, 267, 5473, 1152, 1875, 24308, 8870, 7060, 540, 1535, 780, 1012, 1772, 513, 18980, 18042, 1599, 513, 9971, 2496, 2467, 568, 1100, 3169, 9971, 3830, 585, 513, 20534, 5951, 269, 8409, 5432, 609, 13177, 781, 543, 5839, 299, 4768, 514, 781, 3252, 786, 917, 789, 666, 581, 4114, 13846, 676, 606, 12808, 3126, 540, 21335, 269, 1280, 1383, 267, 2673, 547, 1535, 284, 271, 267, 519, 1871, 585, 20534, 666, 581, 4114, 13846, 676, 281, 2334, 781, 513, 2603, 540, 9819, 780, 1012, 3657, 17969, 916, 21335, 2496, 8794, 519, 1249, 602, 3160, 21335, 723, 3160, 14170, 267, 713, 10522, 602, 2845, 3287, 6661, 271, 585, 782, 1535, 269, 2334, 3884, 1405, 3020, 267, 543, 3976, 519, 13429, 602, 2845, 568, 513, 9971, 5012, 547, 513, 27171, 780, 1012, 2052, 513, 5276, 1599, 581, 513, 9971, 2496, 1103, 11810, 267, 25107, 9511, 543, 1644, 2127, 267, 513, 5276, 1599, 568, 513, 9971, 540, 4110, 835, 610, 1447, 267, 1519, 519, 4642, 9971, 630, 1492, 8545, 711, 1373, 2808, 547, 723, 4110, 4642, 1040, 3267, 589, 3586, 1599, 568, 849, 2808, 5276, 538, 713, 2796, 267, 607, 621, 568, 513, 9971, 540, 4110, 4642, 610, 568, 519, 4642, 9971, 780, 1012, 27155, 267, 21929, 267, 5890, 11228, 267, 1299, 8298, 15162, 6193, 12793, 692, 3451, 1644, 2055, 1336, 692, 2162, 1548, 568, 711, 513, 9971, 2496, 21691, 8662, 338, 3112, 2270, 27847, 23055, 269, 16301, 5627, 27847, 23055, 630, 7945, 607, 476, 274, 343, 266, 273, 344, 272, 270, 273, 268, 272, 264, 616, 711, 2808, 21335, 269, 27155, 338, 3112, 2270, 18119, 269, 1280, 1383, 267, 476, 273, 344, 273, 1341, 18414, 274, 343, 1341, 476, 275, 568, 711, 513, 9971, 780, 2162, 2052, 513, 3490, 540, 513, 2845, 581, 2942, 2496, 2690, 1383, 267, 952, 536, 815, 910, 275, 543, 586, 815, 476, 272, 270, 273, 267, 1287, 536, 317, 344, 815, 1535, 568, 3160, 547, 519, 4009, 3597, 540, 910, 275, 269, 901, 9327, 1405, 2285, 721, 1022, 1483, 3435, 256, 1924, 519, 3490, 27114, 27237, 581, 2942, 269, 32027, 1927, 782, 476, 274, 8753, 267, 649, 666, 2161, 602, 519, 3490, 540, 513, 30233, 666, 1152, 581, 2318, 2338, 3152, 982, 476, 272, 780, 2162, 1548, 1281, 700, 333, 1611, 538, 2979, 2496, 15238, 568, 519, 2067, 30233, 269, 898, 568, 2845, 547, 519, 3490, 540, 552, 269, 552, 568, 606, 19450, 543, 16637, 1581, 1297, 519, 1101, 1906, 7857, 540, 799, 616, 281, 476, 273, 269, 278, 1240, 27005, 279, 2764, 3393, 280, 1862, 769, 2362, 6128, 519, 2067, 30233, 568, 519, 2845, 602, 568, 2356, 1031, 780, 2162, 2052, 513, 9971, 723, 5609, 543, 5430, 2496, 2791, 666, 1294, 689, 891, 3126, 20073, 687, 602, 972, 666, 581, 1100, 9971, 4082, 585, 5430, 3287, 264, 543, 5609, 3287, 1040, 1403, 972, 941, 267, 602, 9971, 1131, 723, 547, 3160, 519, 3126, 7269, 267, 799, 568, 7543, 780, 2162, 1548, 568, 513, 9971, 1599, 3830, 2496, 288, 9971, 1599, 568, 513, 1599, 602, 3322, 1152, 1875, 24308, 8870, 7060, 610, 1152, 2318, 8870, 23055, 540, 513, 4756, 538, 606, 3830, 899, 519, 13392, 3830, 267, 12945, 3830, 267, 3092, 269, 1280, 1383, 267, 476, 273, 343, 266, 276, 568, 513, 9971, 602, 814, 20800, 3160, 547, 476, 272, 780, 2162, 2052, 513, 9971, 723, 5430, 2496, 1103, 519, 6310, 1016, 26753, 540, 10230, 2079, 543, 6310, 2079, 267, 513, 25066, 9971, 568, 513, 13113, 5276, 4999, 540, 3252, 5609, 3799, 343, 264, 543, 5430, 3799, 343, 264, 609, 562, 2921, 593, 519, 2418, 540, 835, 610, 811, 2067, 2338, 269, 634, 14170, 949, 581, 3144, 607, 1483, 2338, 267, 585, 1483, 29705, 4240, 3252, 780, 2162, 4208, 568, 962, 476, 273, 711, 513, 9971, 2496, 344, 1341, 630, 273, 30819, 264, 666, 581, 2854, 607, 586, 1341, 476, 273, 344, 1700, 272, 1547, 3371, 538, 519, 2034, 2165, 267, 1379, 540, 586, 568, 2942, 543, 2687, 547, 519, 4214, 540, 21335, 267, 585, 513, 3830, 547, 581, 513, 9971, 267, 4110, 814, 547, 581, 2318, 269, 1924, 267, 519, 2016, 3830, 568, 711, 513, 9971, 780, 2162, 1772, 476, 272, 476, 274, 343, 568, 513, 5276, 9971, 2496, 272, 266, 274, 343, 568, 513, 5276, 9971, 780, 2162, 4208, 568, 621, 1572, 23692, 2496, 763, 2067, 2845, 568, 519, 11201, 540, 2073, 513, 16681, 2165, 585, 6587, 269, 24935, 540, 16681, 267, 519, 5824, 2012, 568, 17969, 16443, 2067, 328, 267, 4758, 519, 28008, 23692, 269, 3267, 13071, 721, 11690, 538, 942, 543, 1205, 2208, 269, 2340, 479, 350, 13071, 721, 11690, 538, 2208, 543, 1205, 519, 942, 621, 1131, 1491, 780, 2162, 4208, 568, 23692, 1031, 2496, 1103, 2489, 267, 519, 4082, 700, 8104, 321, 263, 4700, 568, 1031, 547, 20301, 519, 3490, 1532, 30233, 1599, 267, 543, 700, 301, 568, 1031, 585, 519, 2027, 2013, 540, 519, 2067, 2845, 1247, 700, 8104, 568, 1419, 1031, 585, 519, 2027, 2013, 540, 519, 3490, 268, 1015, 2845, 269, 769, 1880, 267, 700, 8104, 1797, 3490, 268, 1015, 2845, 538, 9185, 780, 2162, 1215, 798, 596, 6460, 23692, 547, 2845, 2496, 2414, 6460, 513, 1297, 689, 513, 2067, 547, 513, 1455, 2845, 267, 946, 519, 3830, 267, 23692, 263, 25991, 343, 25991, 264, 815, 2845, 263, 25991, 343, 25991, 264, 21680, 2845, 263, 273, 269, 278, 1240, 2764, 6393, 2162, 2052, 3490, 540, 2845, 581, 1447, 982, 476, 272, 2496, 3383, 476, 271, 267, 476, 272, 267, 543, 1169, 2942, 1297, 6799, 513, 1761, 1966, 607, 519, 3490, 540, 513, 1379, 1599, 269, 1656, 952, 1346, 2338, 666, 1405, 28761, 581, 519, 3490, 540, 513, 1379, 1599, 267, 1287, 789, 849, 666, 1405, 28761, 581, 519, 3490, 540, 513, 30233, 269, 1280, 602, 2601, 267, 649, 1152, 1450, 2318, 2338, 824, 982, 476, 272, 607, 519, 3490, 540, 519, 30233, 780, 2162, 4208, 666, 1405, 23692, 581, 2942, 2496, 763, 2067, 30233, 1599, 23692, 3287, 264, 568, 3989, 1152, 585, 1535, 285, 271, 269, 1924, 519, 2067, 30233, 540, 513, 2942, 1297, 568, 3768, 18249, 269, 634, 1950, 32568, 1599, 8298, 18750, 264, 568, 3989, 585, 2942, 2338, 1932, 780, 2162, 4208, 666, 1405, 513, 30233, 723, 513, 3490, 540, 476, 272, 2496, 8421, 476, 271, 568, 3768, 18249, 269, 898, 781, 711, 513, 1483, 1297, 267, 1317, 596, 666, 2760, 1205, 4642, 676, 9870, 4376, 547, 519, 1379, 540, 4376, 3116, 269, 3267, 2845, 476, 272, 815, 476, 271, 1797 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2146, 269, 0, 288, 2603, 540, 5647, 568, 2469, 593, 538, 1426, 10509, 267, 1818, 1426, 14949, 267, 811, 14312, 267, 1732, 512, 8463, 543, 609, 1447, 5434, 1282, 2504, 269, 3371, 596, 3513, 1265, 4930, 827, 3642, 267, 8596, 543, 14164, 267, 2462, 1239, 267, 3059, 7350, 267, 8856, 8105, 267, 1591, 3766, 3497, 5779, 267, 10648, 302, 543, 12957, 563, 288, 1007, 1353, 814, 1336, 602, 3165, 2713, 538, 6926, 3737, 14147, 18625, 666, 2611, 2959, 3638, 538, 25050, 19153, 269, 901, 2488, 4126, 585, 9381, 2950, 602, 7048, 593, 14147, 18625, 585, 1426, 563, 5804, 513, 3484, 538, 16528, 3911, 18033, 1633, 547, 3165, 14713, 538, 12868, 269, 20917, 5362, 30622, 584, 23264, 339, 568, 476, 2537, 1296, 2025, 855, 814, 2907, 1044, 593, 513, 9735, 7045, 269, 634, 6117, 3196, 568, 2123, 1646, 543, 2870, 1764, 676, 5010, 1944, 513, 1007, 4264, 2029, 585, 3165, 8105, 563, 274, 291, 268, 2745, 539, 1426, 1223, 3142, 1394, 519, 7772, 540, 4189, 585, 4587, 1004, 267, 799, 568, 2404, 609, 1072, 2640, 543, 606, 4824, 2298, 540, 1272, 538, 2489, 563, 288, 1007, 9819, 2203, 666, 3589, 875, 1082, 15708, 972, 616, 538, 1114, 2694, 540, 519, 4104, 563, 1103, 4000, 267, 972, 781, 606, 20882, 547, 1332, 5214, 7031, 269, 30027, 3585, 267, 16789, 569, 26356, 10729, 8764, 919, 519, 3037, 543, 6704, 1216, 269, 30404, 3173, 723, 2097, 909, 609, 28966, 7108, 267, 513, 3070, 547, 1312, 2152, 563, 2026, 851, 540, 3646, 547, 2087, 4398, 543, 2504, 267, 25472, 814, 7550, 12829, 2657, 543, 12829, 11982, 6606, 563, 23178, 4793, 878, 807, 29542, 689, 519, 2160, 540, 5682, 16049, 568, 11021, 513, 1007, 1259, 540, 21365, 1426, 22520, 1107, 513, 2732, 1572, 7909, 21253, 23540, 563, 293, 880, 6659, 593, 5521, 3049, 723, 513, 1454, 2539, 2825, 1764, 982, 3165, 602, 723, 4607, 2757, 3165, 2861, 3049, 269, 0, 20059, 532, 538, 8994, 7482, 568, 835, 540, 519, 1034, 1455, 2409, 540, 10115, 585, 14547, 1004, 543, 5092, 4648, 269, 589, 8994, 2508, 568, 513, 7535, 539, 267, 5781, 16913, 5092, 2508, 602, 20115, 2724, 689, 513, 1297, 540, 9520, 547, 4444, 1585, 19736, 269, 7767, 832, 666, 581, 2901, 12250, 610, 10685, 269, 14066, 12250, 9520, 3335, 723, 741, 1378, 2724, 2359, 13623, 269, 4825, 841, 9520, 2356, 6718, 519, 19736, 689, 513, 1297, 540, 1114, 3549, 538, 513, 11834, 269, 23688, 783, 7482, 616, 1631, 4730, 606, 2810, 1909, 607, 606, 4244, 5092, 1505, 543, 1082, 14547, 2043, 616, 1210, 8994, 7482, 607, 513, 3119, 1797, 540, 10115, 563, 2304, 5413, 540, 1210, 513, 7307, 2508, 568, 602, 972, 616, 2356, 7864, 12375, 543, 862, 3827, 547, 581, 6976, 269, 2494, 3042, 7482, 2356, 1152, 2628, 513, 2359, 13927, 543, 1360, 1970, 11834, 12375, 543, 5934, 15639, 12375, 269, 634, 9614, 540, 519, 2508, 786, 2824, 9541, 799, 616, 13267, 547, 519, 20090, 779, 6859, 269, 1358, 949, 3442, 547, 1902, 538, 513, 2647, 2039, 540, 9541, 971, 607, 13632, 267, 7554, 267, 543, 2724, 2344, 7482, 269, 1879, 519, 14769, 9428, 1932, 1804, 543, 972, 616, 711, 2614, 7482, 547, 1489, 5571, 14769, 2115, 267, 519, 9614, 786, 7485, 7482, 689, 519, 7535, 543, 1902, 873, 538, 824, 4025, 269, 8750, 338, 616, 7307, 676, 3318, 4648, 945, 723, 1296, 540, 1995, 543, 1702, 540, 519, 9541, 563, 300, 583, 783, 7482, 666, 581, 1031, 607, 513, 1907, 585, 2870, 513, 4129, 1881, 14769, 267, 855, 789, 666, 849, 581, 1031, 547, 3274, 1711, 513, 14769, 602, 568, 10930, 982, 513, 2582, 20090, 269, 1323, 1383, 540, 713, 1131, 581, 8380, 782, 540, 707, 9806, 538, 513, 1164, 2132, 267, 1970, 1981, 6125, 2508, 1247, 6028, 519, 6967, 9541, 538, 6666, 269, 1635, 3257, 713, 267, 952, 519, 6125, 1871, 12772, 267, 707, 3854, 7071, 7482, 786, 1869, 7118, 513, 2132, 269, 1403, 596, 1131, 899, 547, 1118, 606, 1256, 10930, 14769, 267, 596, 666, 1039, 824, 2010, 540, 7482, 267, 971, 607, 6666, 1871, 267, 1719, 4747, 610, 2344, 3854, 1436, 563, 20059, 532, 538, 8994, 7482, 666, 849, 1683, 519, 20090, 609, 513, 2631, 540, 6015, 950, 1818, 5092, 3664, 269, 4107, 3318, 9520, 616, 4966, 593, 519, 2344, 543, 786, 946, 713, 1344, 547, 3391, 741, 5092, 3664, 269, 5221, 519, 9614, 568, 2324, 609, 1896, 1114, 5092, 2994, 267, 789, 786, 581, 2111, 547, 1683, 519, 20090, 609, 513, 2039, 540, 3681, 269, 1358, 786, 3335, 581, 16539, 538, 1114, 2010, 540, 7221, 267, 971, 607, 13632, 267, 7554, 267, 543, 2724, 2344, 7482, 269, 634, 9614, 786, 849, 3335, 1331, 513, 12191, 267, 799, 786, 5173, 519, 2104, 2164, 540, 519, 6074, 5092, 4640, 563, 3080, 540, 519, 1292, 4128, 1946, 513, 2508, 20090, 786, 946, 513, 2508, 9614, 568, 1317, 789, 960, 609, 513, 7453, 10697, 2359, 3609, 269, 901, 3609, 786, 6615, 519, 2179, 540, 3854, 12374, 602, 616, 4847, 547, 2049, 269, 1403, 972, 616, 1022, 12374, 267, 789, 616, 2356, 2838, 547, 581, 4080, 607, 513, 1283, 1899, 2557, 269, 2353, 12374, 1058, 581, 4080, 5612, 267, 2705, 1507, 789, 949, 581, 269, 1306, 513, 1267, 267, 596, 666, 581, 21407, 602, 519, 12374, 616, 693, 513, 5934, 563, 20059, 532, 538, 8994, 7482, 568, 513, 1390, 1259, 585, 596, 547, 3489, 513, 1434, 2557, 540, 2132, 269, 901, 1826, 540, 5092, 568, 711, 1318, 585, 3025, 267, 1498, 269, 6969, 10115, 538, 891, 7482, 267, 596, 1058, 1491, 6006, 540, 707, 1378, 2883, 3510, 543, 3313, 2436, 610, 711, 713, 568, 519, 1318, 4781, 585, 596, 269, 1703, 616, 1082, 5383, 547, 10115, 538, 891, 2010, 540, 7482, 267, 855, 596, 991, 547, 581, 2386, 602, 519, 4220, 616, 1134, 6956, 269, 0, 299, 8016, 3201, 27483, 295, 3036, 296, 25765, 269, 7813, 619, 616, 1419, 12912, 547, 581, 14951, 3464, 585, 10871, 8191, 885, 269, 634, 12948, 2272, 1058, 581, 538, 519, 14951, 337, 781, 2012, 267, 552, 3052, 269, 834, 3627, 9466, 267, 7066, 5501, 337, 540, 519, 15050, 2103, 540, 519, 18648, 540, 3751, 332, 3233, 5742, 2437, 543, 519, 9753, 585, 8569, 1058, 581, 6537, 676, 519, 10871, 16958, 2390, 519, 14951, 337, 267, 543, 711, 2390, 519, 4871, 1141, 646, 8952, 519, 2272, 563, 763, 645, 1571, 540, 16510, 2920, 267, 476, 6642, 273, 267, 8791, 476, 10463, 267, 11225, 513, 1750, 4302, 607, 834, 513, 3915, 540, 5385, 6537, 593, 513, 4871, 518, 2628, 762, 593, 3747, 2437, 855, 607, 891, 9753, 616, 6537, 2390, 519, 14951, 337, 607, 606, 1367, 621, 1131, 2408, 602, 789, 616, 711, 1750, 13196, 269, 543, 267, 4061, 269, 602, 519, 4027, 6488, 539, 676, 8791, 476, 2568, 540, 519, 645, 1571, 540, 16510, 2920, 269, 476, 6642, 273, 269, 547, 519, 9878, 4871, 518, 1996, 585, 3022, 967, 16017, 906, 1281, 711, 8831, 547, 873, 6902, 543, 2417, 602, 267, 711, 1373, 1750, 13196, 267, 789, 3112, 581, 4570, 569, 18084, 269, 2368, 8128, 267, 2705, 267, 2015, 602, 519, 9753, 1498, 6537, 267, 538, 1106, 267, 2390, 519, 14951, 337, 267, 616, 18374, 6537, 2390, 519, 4871, 1141, 646, 8952, 1010, 2272, 269, 1403, 713, 568, 519, 2953, 2070, 267, 1287, 789, 2097, 1369, 519, 14074, 540, 519, 645, 1571, 540, 16510, 2920, 269, 769, 519, 2013, 540, 16199, 604, 1314, 5742, 642, 269, 24933, 342, 2431, 630, 6942, 276, 267, 700, 10611, 269, 476, 1015, 1401, 269, 476, 8146, 1070, 1141, 519, 14951, 337, 1185, 6976, 9753, 12946, 585, 3022, 967, 16017, 906, 267, 621, 729, 4371, 602, 519, 4871, 729, 6870, 676, 8791, 476, 866, 540, 519, 853, 2086, 2920, 267, 476, 272, 306, 7871, 269, 630, 8450, 602, 8791, 896, 667, 6938, 10499, 10396, 667, 4932, 13263, 4700, 634, 9753, 616, 267, 899, 1750, 13196, 267, 1641, 547, 519, 512, 2086, 10279, 540, 835, 29784, 630, 4089, 476, 3953, 267, 853, 2086, 2920, 267, 476, 6245, 1556, 267, 4849, 538, 519, 2013, 540, 9753, 6537, 676, 519, 15050, 2103, 540, 519, 18648, 563, 1103, 2665, 1141, 519, 16010, 9730, 6494, 547, 519, 4871, 518, 610, 14951, 337, 513, 1592, 540, 519, 7606, 547, 7247, 9753, 723, 1044, 9783, 267, 543, 547, 7247, 11033, 616, 547, 581, 1500, 2390, 6881, 540, 519, 9753, 267, 19280, 519, 14951, 337, 547, 1118, 971, 11033, 267, 519, 8274, 540, 769, 1633, 28521, 1533, 602, 513, 29784, 16826, 568, 2838, 538, 2463, 540, 1142, 2628, 2465, 781, 2012, 2390, 519, 1592, 269, 630, 8450, 519, 1325, 514, 1393, 540, 519, 8274, 267, 896, 2376, 595, 4047, 5226, 292, 4700, 769, 661, 269, 808, 269, 715, 12245, 21884, 781, 11000, 593, 10871, 6554, 8191, 621, 625, 630, 5408, 834, 4750, 540, 519, 4659, 540, 7813, 619, 2437, 2019, 269, 476, 2918, 267, 533, 269, 476, 10082, 1070, 621, 568, 7150, 602, 513, 6571, 538, 519, 1739, 1106, 568, 711, 9833, 676, 519, 769, 1633, 28521, 8191, 885, 607, 1373, 1641, 547, 519, 1657, 268, 20197, 16826, 10279, 2433, 834, 6546, 513, 3948, 540, 519, 1739, 6589, 581, 9896, 676, 1614, 2818, 540, 519, 16010, 9730, 1459, 693, 713, 5870, 543, 27669, 11220, 676, 519, 4884, 804, 17064, 267, 543, 581, 10299, 547, 519, 14951, 337, 609, 606, 1931, 547, 2628, 1750, 13196, 585, 519, 5666, 9138, 538, 971, 3948, 267, 593, 971, 1750, 13196, 1373, 4843, 547, 1864, 4799, 4415, 2463, 547, 519, 24228, 7060, 540, 513, 10871, 16958, 267, 621, 568, 2556, 547, 23754, 689, 519, 29417, 267, 896, 799, 519, 1379, 538, 1022, 1880, 2013, 568, 14931, 267, 2436, 519, 7254, 794, 540, 519, 10871, 6554, 8274, 610, 824, 6554, 4972, 568, 2556, 1354, 519, 1379, 547, 10210, 666, 581, 27361, 267, 543, 267, 952, 519, 16958, 814, 519, 2556, 27152, 1379, 267, 2390, 1018, 1880, 2508, 267, 610, 2557, 267, 3354, 1590, 581, 2016, 563, 2252, 606, 16958, 267, 1510, 1379, 610, 7254, 794, 547, 10210, 267, 936, 9526, 338, 519, 4871, 2272, 267, 519, 1719, 2390, 971, 22536, 2761, 630, 604, 711, 9833, 676, 519, 4871, 518, 607, 1373, 4988, 676, 519, 1719, 2390, 519, 5491, 3666, 693, 824, 2053, 264, 786, 711, 581, 513, 3656, 5279, 1996, 519, 16958, 267, 543, 949, 581, 771, 9994, 539, 676, 519, 6554, 10748, 3218, 269, 634, 10871, 5041, 6497, 8274, 723, 1379, 267, 2705, 267, 547, 1450, 513, 2040, 267, 5265, 771, 9994, 539, 676, 519, 10748, 6002, 267, 952, 538, 519, 6644, 540, 519, 8274, 621, 568, 12581, 602, 971, 27108, 1058, 581, 1121, 26860, 563, 2005, 1058, 581, 7074, 602, 2724, 22666, 896, 519, 14074, 540, 1022, 1880, 2920, 1590, 581, 17956, 538, 13076, 609, 602, 2920, 269, 769, 1234, 343, 642, 269, 28676, 267, 608, 851, 324, 20710, 2471, 630, 4489, 271, 267, 476, 273, 918, 269, 645, 269, 476, 1001, 264, 1141, 513, 15278, 630, 8974, 519, 1008, 328, 521, 687, 1993, 519, 5398, 2657, 2920, 267, 476, 6942, 276, 264, 22666, 2724, 689, 513, 4871, 1510, 4758, 1697, 3354, 543, 519, 1719, 729, 1147, 12737, 539, 676, 519, 10748, 3218, 1317, 519, 3354, 1185, 711, 1044, 2016, 267, 7083, 1325, 591, 7723, 1767, 2433, 834, 1403, 519, 11834, 1843, 539, 547, 729, 8806, 519, 2628, 6497, 540, 1719, 2390, 930, 10151, 10211, 5833, 585, 10151, 5301, 2394, 824, 2724, 32737, 267, 585, 3236, 267, 3928, 610, 544, 821, 903, 8815, 547, 581, 4359, 1765, 26200, 538, 1249, 556, 2781, 1882, 267, 649, 3858, 602, 621, 1522, 711, 581, 683, 806, 521, 776, 896, 971, 6381, 585, 519, 2199, 6392, 547, 2285, 3354, 1701, 898, 729, 4371, 267, 2705, 267, 602, 519, 2013, 7902, 547, 581, 834, 606, 3635, 540, 24228, 7060, 585, 519, 3483, 540, 8628, 12029, 547, 581, 1065, 4660, 676, 1128, 531, 544, 757, 1701, 634, 9844, 540, 519, 10871, 5041, 6497, 8274, 834, 1281, 711, 8806, 4125, 519, 9844, 547, 519, 10211, 267, 855, 606, 13170, 540, 519, 1259, 538, 799, 519, 10211, 568, 547, 581, 17956, 2687, 547, 519, 2920, 540, 12057, 896, 799, 519, 19736, 616, 9783, 1701, 634, 2628, 6497, 540, 1719, 547, 519, 4871, 538, 2463, 540, 519, 12029, 1500, 676, 519, 4871, 267, 585, 799, 1100, 3354, 1185, 1044, 9783, 267, 729, 4371, 711, 547, 581, 513, 3656, 8569, 269, 0, 288, 6588, 10783, 910, 808, 1695, 836, 21105, 10067, 531, 267, 3397, 571, 267, 31579, 541, 21423, 267, 3127, 910, 589, 2622, 11595 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2835, 950, 596, 1101, 2253, 32059, 543, 946, 621, 607, 513, 4704, 2429, 707, 18954, 3460, 269, 17859, 540, 875, 1279, 596, 18954, 267, 596, 786, 2141, 723, 22027, 543, 2055, 827, 875, 707, 1126, 568, 7900, 6993, 9165, 543, 5311, 1433, 666, 2322, 707, 2247, 693, 8897, 269, 4495, 596, 723, 513, 9165, 543, 5311, 1433, 267, 1118, 513, 1592, 540, 1142, 1858, 538, 2979, 602, 646, 2115, 547, 960, 593, 585, 519, 1153, 1032, 269, 1280, 1383, 585, 9344, 1614, 543, 2185, 267, 676, 519, 1439, 540, 519, 1032, 538, 12408, 267, 707, 1126, 1058, 581, 2111, 547, 281, 4194, 7299, 543, 8880, 19106, 2042, 267, 2689, 12408, 540, 476, 273, 2338, 4171, 18304, 1131, 581, 476, 1240, 610, 1447, 267, 10208, 476, 272, 268, 610, 476, 273, 18251, 1297, 689, 513, 476, 273, 18251, 1297, 609, 270, 23719, 15646, 5446, 267, 10208, 476, 272, 19985, 476, 273, 19985, 610, 476, 274, 18251, 2338, 689, 476, 274, 268, 543, 476, 275, 18251, 1297, 609, 270, 23719, 15646, 5446, 267, 10208, 476, 272, 19985, 476, 273, 19985, 476, 274, 19985, 476, 275, 19985, 610, 476, 276, 18251, 1297, 689, 513, 476, 276, 18251, 1297, 563, 12179, 1543, 267, 22028, 779, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 519, 1488, 628, 1787, 10275, 4157, 29411, 3896, 602, 568, 711, 1488, 628, 1787, 10275, 4157, 29411, 779, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 1488, 628, 1787, 10275, 4157, 29411, 3409, 9562, 610, 5539, 585, 971, 3688, 267, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 563, 15648, 9736, 476, 1708, 272, 1488, 628, 1787, 10275, 4157, 29411, 269, 2353, 7126, 27616, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 270, 1001, 272, 270, 5400, 270, 24108, 1790, 739, 11258, 476, 585, 948, 454, 258, 5225, 2638, 3758, 3635, 1556, 19638, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 7173, 22561, 267, 1985, 318, 284, 14085, 2187, 1038, 1582, 14857, 2181, 341, 815, 7173, 454, 1038, 1582, 14857, 10113, 815, 1985, 318, 692, 825, 1219, 1305, 318, 10113, 4311, 267, 1985, 318, 2187, 1038, 1582, 14857, 10113, 815, 1985, 318, 692, 825, 1219, 1305, 318, 2181, 341, 4311, 267, 7173, 2187, 1038, 1582, 14857, 2181, 341, 815, 7173, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 27250, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 4429, 692, 5035, 21912, 8266, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 9136, 22561, 2187, 1038, 952, 9136, 568, 7183, 912, 2018, 1582, 23584, 815, 7183, 454, 2018, 1582, 6745, 841, 815, 7183, 454, 1038, 8640, 568, 27349, 3799, 3941, 267, 19219, 2187, 2018, 1582, 23584, 815, 9136, 454, 2018, 1582, 6745, 841, 815, 9136, 454, 1038, 8640, 568, 27349, 3799, 3941, 267, 1592, 2187, 2018, 1582, 23584, 815, 9136, 314, 271, 2639, 2018, 1582, 6745, 841, 815, 9136, 15631, 272, 2639, 2018, 1582, 7456, 22075, 5332, 3941, 3799, 3941, 2020, 825, 1219, 5532, 5332, 3941, 630, 1345, 267, 9136, 2187, 1038, 9136, 314, 271, 4940, 3553, 318, 2181, 341, 3799, 3941, 15631, 272, 7481, 1038, 9136, 314, 271, 4940, 3553, 318, 10113, 3799, 3941, 314, 272, 20285, 1038, 585, 1775, 538, 2039, 630, 272, 267, 7003, 3799, 3941, 264, 910, 476, 272, 2187, 2018, 9136, 5157, 4940, 3553, 318, 2181, 341, 3799, 3941, 5157, 268, 272, 7481, 2018, 9136, 5157, 4940, 3553, 318, 10113, 3799, 3941, 5157, 1341, 476, 272, 20285, 1038, 9136, 15631, 272, 4940, 3553, 318, 2181, 341, 3799, 3941, 15631, 273, 7481, 1038, 9136, 15631, 272, 4940, 3553, 318, 10113, 3799, 3941, 314, 271, 316, 9239, 825, 1219, 7696, 4311, 267, 6843, 267, 4994, 284, 271, 2187, 1038, 23288, 1038, 23453, 19219, 547, 1022, 1747, 540, 21912, 8266, 454, 1038, 6843, 910, 19219, 454, 1038, 4994, 910, 2990, 540, 6843, 454, 1038, 23288, 1038, 27250, 825, 1219, 16289, 4311, 267, 6843, 2187, 1038, 23288, 1038, 2561, 754, 19219, 547, 2766, 540, 21912, 8266, 454, 1038, 6843, 910, 19219, 454, 1038, 23288, 1038, 27250, 825, 1219, 2312, 4311, 2187, 1038, 23288, 1038, 13068, 21912, 8266, 454, 1038, 23288, 1038, 27250, 825, 1219, 1265, 4311, 267, 6843, 2187, 1038, 27250, 825, 1219, 4894, 4311, 267, 6843, 2187, 1038, 27250, 825, 1219, 18419, 4311, 267, 4994, 2187, 1038, 4429, 19638, 19638, 19638, 19638, 19638, 19638, 0, 3698, 13074, 5334, 889, 25659, 30308, 5334, 331, 823, 29495, 2187, 825, 834, 27987, 630, 328, 25814, 264, 971, 602, 1257, 5157, 281, 329, 316, 568, 519, 13074, 5493, 30308, 538, 1257, 4799, 825, 952, 1257, 2652, 1412, 9166, 2132, 630, 271, 267, 271, 2020, 825, 1219, 3259, 4433, 331, 823, 2567, 513, 14720, 815, 20105, 282, 2132, 536, 8584, 692, 825, 10457, 815, 1496, 326, 992, 29495, 267, 1376, 267, 1439, 994, 7386, 585, 1376, 538, 2039, 12759, 29495, 4917, 7386, 585, 1439, 538, 630, 11034, 267, 1376, 266, 272, 264, 6540, 825, 2132, 3193, 6262, 663, 573, 919, 267, 1883, 284, 26319, 2020, 3698, 1332, 29495, 267, 1376, 267, 1439, 2187, 825, 834, 9359, 609, 513, 476, 271, 268, 610, 476, 272, 268, 3259, 5493, 30308, 282, 2119, 547, 1332, 513, 8273, 835, 3010, 825, 1247, 630, 11034, 3436, 476, 271, 543, 1439, 2999, 7003, 29495, 994, 2018, 543, 1257, 314, 11034, 268, 272, 4940, 21639, 3890, 2652, 1257, 314, 754, 4940, 21639, 3890, 2187, 1038, 1376, 20699, 476, 272, 282, 1439, 6834, 476, 272, 692, 825, 2132, 630, 11034, 267, 1439, 2020, 3698, 1449, 10031, 825, 700, 815, 13074, 5334, 889, 25659, 30308, 5334, 331, 823, 454, 825, 7682, 700, 3488, 15869, 8364, 10807, 2652, 700, 3488, 305, 864, 8364, 10807, 2652, 700, 3488, 305, 864, 8364, 311, 10807, 2652, 630, 271, 267, 476, 278, 994, 825, 1820, 2891, 5472, 1449, 2665, 1780, 10590, 2020, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 453, 11687, 4590, 12828, 912, 13537, 2891, 17387, 532, 14307, 6449, 4067, 1029, 267, 834, 1862, 291, 821, 32405, 0, 9690, 318, 639, 1716, 1868, 815, 22373, 611, 2381, 2580, 834, 341, 273, 742, 339, 321, 2580, 834, 2704, 328, 2580, 834, 305, 889, 629, 2580, 834, 301, 1177, 531, 19312, 5897, 258, 476, 276, 268, 279, 26250, 1169, 21189, 269, 2368, 835, 3118, 267, 519, 1866, 519, 824, 3118, 1477, 1721, 513, 538, 1699, 318, 639, 1716, 1868, 6769, 825, 27024, 815, 3403, 2891, 11767, 27024, 281, 834, 3418, 825, 952, 27024, 2652, 834, 611, 2381, 257, 6769, 1038, 1820, 2891, 15916, 14721, 267, 1131, 596, 899, 513, 1867, 8119, 3418, 1038, 2736, 1477, 825, 8640, 27024, 538, 1699, 318, 639, 1716, 1868, 6769, 1038, 1820, 6600, 257, 8702, 1394, 2715, 639, 20713, 20467, 1215, 666, 594, 1118, 707, 1158, 2653, 585, 596, 2221, 8119, 3418, 1038, 2736, 1477, 825, 3116, 6769, 1038, 1820, 2891, 1607, 27024, 568, 711, 10805, 14744, 5897, 258, 268, 276, 268, 280, 6494, 513, 5048, 952, 972, 568, 4986, 538, 476, 513, 1592, 1477, 258, 1247, 1699, 318, 639, 1716, 1868, 6769, 258, 672, 1699, 318, 639, 1716, 1868, 21014, 14052, 258, 952, 1699, 318, 639, 1716, 1868, 2652, 32582, 6769, 258, 672, 1820, 263, 9690, 318, 639, 1716, 1868, 3418, 258, 672, 1820, 2891, 2171, 991, 811, 3755, 257, 10142, 258, 476, 276, 268, 1015, 6744, 532, 721, 1716, 1868, 1477, 2908, 318, 22852, 815, 22373, 3412, 611, 2580, 834, 291, 4314, 2580, 834, 2704, 328, 2580, 834, 301, 1177, 531, 2580, 834, 308, 1067, 257, 15947, 1721, 513, 538, 1007, 318, 22852, 6769, 825, 952, 513, 538, 1699, 318, 639, 1716, 1868, 6769, 1038, 1820, 5416, 267, 834, 568, 711, 2139, 267, 5225, 4283, 513, 1114, 2012, 14744, 825, 3116, 281, 21506, 1038, 1820, 5416, 267, 834, 27024, 568, 2139, 8442, 0, 5814, 4351, 454, 337, 815, 4351, 20120, 9792, 263, 272, 267, 476, 1911, 271, 994, 258, 476, 13644, 371, 418, 504, 480, 28793, 417, 10191, 419, 499, 354, 23284, 31968, 4970, 353, 9463, 354, 7511, 31308, 509, 419, 494, 484, 8147, 9463, 359, 421, 506, 478, 28884, 29072, 25335, 352, 10429, 370, 14756, 497, 31563, 16088, 454, 258, 13127, 376, 499, 24662, 421, 504, 493, 10951, 374, 12255, 8147, 26033, 490, 12571, 492, 8147, 30006, 493, 418, 361, 350, 19867, 356, 27310, 7511, 28793, 22390, 503, 8147, 337, 476, 7511, 29219, 21251, 12571, 490, 692, 604, 678, 4939, 476, 273, 2652, 476, 271, 912, 825, 1820, 16868, 267, 1412, 529, 1256, 269, 5073, 12828, 912, 825, 1820, 16868, 267, 1412, 529, 9642, 269, 5073, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5814, 26026, 1941, 607, 521, 985, 454, 5814, 21267, 28272, 607, 12301, 692, 18411, 31262, 25779, 281, 13340, 7120, 782, 476, 5780, 2934, 454, 31262, 18452, 281, 17093, 281, 3568, 6003, 543, 2934, 454, 18257, 692, 3698, 4216, 7120, 6958, 324, 2137, 29254, 2187, 825, 2934, 815, 17093, 6155, 1886, 3488, 299, 8475, 3299, 7852, 284, 272, 994, 825, 2934, 12173, 815, 2934, 31815, 8435, 22562, 825, 4453, 267, 4949, 815, 12301, 16553, 30831, 263, 274, 267, 476, 272, 267, 4453, 21653, 14352, 3393, 267, 1789, 4917, 8931, 825, 575, 272, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 11468, 2420, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 271, 7481, 825, 575, 272, 15630, 318, 868, 1157, 18350, 1564, 14116, 272, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 11850, 8931, 825, 575, 273, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 314, 2420, 281, 4510, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 272, 7481, 825, 575, 273, 15630, 318, 868, 1157, 18350, 1564, 14116, 273, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 11850, 8931, 825, 575, 274, 815, 521, 985, 269, 7901, 7120, 16597, 284, 10623, 2137, 314, 10623, 2137, 12173, 314, 4510, 281, 5780, 316, 3910, 29984, 6889, 7922, 1132, 2580, 4949, 284, 1314, 314, 273, 7481, 825, 575, 274, 15630, 318, 868, 1157, 18350, 1564, 14116, 274, 10947, 318, 868, 1157, 18350, 1564, 19572, 8527, 566, 284, 3393, 5148, 0, 5035, 13793, 2006, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 7456, 1161, 815, 476, 274, 454, 1038, 1582, 8807, 284, 1930, 2891, 5320, 17902, 5602, 1038, 1582, 269, 5320, 815, 1582, 8807, 18667, 14061, 337, 29328, 14061, 12294, 4590, 1038, 1582, 269, 8145, 8724, 815, 7003, 4311, 269, 5320, 264, 1948, 6967, 1297, 540, 1913, 269, 13242, 547, 2638, 952, 3014, 568, 4465, 454, 1038, 1582, 269, 5891, 815, 11713, 1038, 1582, 269, 4310, 815, 32582, 1948, 9293, 649, 723, 1031, 454, 1038, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 2018, 1582, 269, 5891, 6910, 2891, 318, 15419, 825, 1219, 1397, 26077, 4311, 2187, 1038, 1820, 2891, 299, 1161, 24333, 1582, 7456, 1161, 994, 1038, 1820, 2891, 4131, 1562, 31665, 24333, 834, 2668, 21860, 4311, 269, 4310, 4917, 1038, 1820, 2891, 17504, 865, 2484, 24333, 834, 2668, 21860, 4311, 269, 5891, 11723, 825, 1219, 2490, 4311, 2187, 1038, 1582, 20481, 26077, 4590, 1038, 1582, 3052, 340, 612, 815, 3403, 2891, 11767, 513, 4484, 281, 834, 25011, 271, 4940, 12294, 4590, 1038, 952, 630, 1345, 3052, 340, 612, 538, 1582, 269, 5320, 2187, 2018, 1820, 2891, 28557, 5602, 2018, 585, 1775, 538, 2039, 12759, 4311, 269, 5320, 15892, 3546, 952, 1582, 269, 5320, 5157, 316, 2652, 1582, 3052, 340, 612, 912, 4449, 567, 1582, 269, 8145, 8724, 815, 1582, 269, 8145, 8724, 910, 476, 272, 454, 4449, 567, 1582, 269, 5891, 5157, 316, 815, 1582, 3052, 340, 612, 454, 1038, 3116, 912, 2018, 1820, 2891, 18823, 8091, 5602, 2018, 1948, 26303, 5022, 31665, 454, 2018, 952, 1582, 3052, 340, 612, 711, 538, 1582, 269, 4310, 912, 3546, 1582, 269, 4310, 6910, 4311, 3052, 340, 612, 994, 3546, 1582, 7456, 1161, 815, 1582, 7456, 1161, 910, 476, 272, 692, 825, 1219, 3014, 4311, 2187, 1038, 1582, 269, 2452, 532, 815, 6936, 454, 1038, 1247, 1582, 269, 2452, 532, 912, 2018, 952, 1582, 7456, 1161, 2652, 476, 271, 912, 3546, 1820, 2891, 29228, 936, 32405, 3546, 1582, 269, 2452, 532, 815, 8771, 3248, 2018, 8640, 1582, 269, 8145, 8724, 2652, 476, 271, 912, 3546, 1820, 2891, 2791, 3094, 32405, 3546, 1582, 269, 2452, 532, 815, 8771, 3248, 2018, 3116, 912, 3546, 1582, 6745, 1248, 10797, 327, 815, 13793, 2006, 4590, 327, 3052, 877, 10797, 692, 0, 12163, 476, 606, 6388, 540, 513, 979, 6149, 912, 825, 609, 10305, 912, 8587, 910, 1847, 1297, 454, 8587, 910, 2681, 454, 8587, 910, 2990, 1496, 343, 11971, 267, 345, 2639, 20701, 5035, 12942, 1384, 825, 1847, 20311, 22562, 258, 2681, 568, 2356, 1412, 14937, 262, 610, 1412, 19669, 7055, 825, 2681, 454, 825, 2990, 692, 825, 1219, 6449, 8181, 9191, 1345, 19885, 22698, 28872, 2187, 1038, 1582, 6230, 913, 20311, 284, 333, 454, 1038, 1582, 269, 10233, 284, 322, 454, 1038, 1582, 269, 6570, 284, 335, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 588, 6889, 332, 913, 834, 266, 1598, 9852, 913, 20311, 11924, 257, 676, 834, 266, 10233, 266, 257, 693, 257, 266, 1598, 263, 6570, 11924, 3269, 266, 1598, 263, 10233, 11924, 454, 1038, 2132, 588, 692, 825, 1219, 1205, 8548, 913, 10031, 1038, 2132, 1847, 20311, 692, 825, 1219, 1205, 318, 10233, 10031, 1038, 2132, 2681, 692, 825, 1219, 1205, 318, 6570, 10031, 1038, 2132, 2990, 692, 258, 661, 29996, 454, 0, 12163, 476, 606, 6388, 540, 513, 979, 6149, 912, 825, 609, 10305, 912, 8587, 910, 1847, 1297, 454, 8587, 910, 2681, 454, 8587, 910, 2990, 1496, 343, 11971, 267, 345, 2639, 20701, 5035, 12942, 1384, 825, 1847, 20311, 22561, 22562, 258, 2681, 568, 2356, 1412, 14937, 262, 610, 1412, 19669, 7055, 825, 2681, 22561, 22562, 825, 1948, 519, 2990, 568, 513, 6152, 630, 514, 476, 273, 291, 610, 476, 274, 291, 994, 825, 2990, 22561, 22562, 825, 834, 24554, 513, 1007, 6149, 609, 281, 562, 281, 1847, 1297, 267, 524, 281, 2681, 630, 14937, 610, 6519, 1070, 533, 281, 2990, 6152, 3010, 825, 1219, 6449, 8181, 9191, 1345, 19885, 22698, 28872, 2187, 1038, 1582, 6230, 913, 20311, 284, 333, 454, 1038, 1582, 269, 10233, 284 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 525, 692, 25111, 281, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 276, 7420, 5426, 1384, 4692, 596, 10726, 28522, 4445, 538, 713, 2241, 18062, 3014, 286, 2052, 596, 4137, 856, 28522, 4445, 781, 4640, 267, 543, 568, 972, 513, 1732, 835, 2496, 293, 2393, 4252, 2622, 19067, 29896, 692, 25111, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 288, 13004, 2861, 25624, 2622, 19067, 11191, 585, 3610, 543, 1053, 547, 946, 780, 2791, 8550, 5192, 513, 14520, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 13142, 12340, 14659, 602, 513, 3670, 2501, 909, 1447, 1419, 982, 519, 824, 2338, 593, 519, 18062, 269, 5620, 513, 1413, 693, 519, 2164, 540, 519, 1449, 1010, 1362, 1705, 547, 1294, 952, 646, 729, 1318, 780, 1805, 641, 610, 667, 732, 692, 25111, 281, 476, 273, 267, 476, 274, 543, 476, 275, 7420, 5426, 1384, 5472, 596, 991, 585, 713, 3014, 568, 513, 3640, 540, 6486, 269, 2755, 596, 1404, 519, 3014, 267, 1589, 827, 2994, 602, 786, 2333, 707, 8458, 540, 10888, 780, 763, 2961, 2334, 10426, 525, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1432, 6898, 666, 596, 1118, 827, 519, 1286, 602, 10596, 519, 1153, 19235, 693, 476, 1556, 600, 593, 11728, 286, 1215, 786, 596, 2097, 909, 609, 6898, 543, 1449, 707, 2093, 2496, 305, 3326, 1452, 667, 823, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 305, 3326, 1079, 2699, 18062, 543, 513, 3039, 18062, 269, 5410, 519, 1079, 2338, 593, 519, 2699, 18062, 543, 1491, 2476, 519, 1297, 593, 519, 3039, 269, 1548, 616, 782, 519, 1114, 7399, 602, 1223, 2097, 909, 2496, 2005, 781, 513, 570, 773, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 298, 320, 807, 568, 2386, 602, 1200, 4651, 814, 12816, 513, 1880, 17063, 7466, 513, 3018, 538, 693, 2547, 2947, 540, 519, 2063, 4557, 4374, 267, 855, 1200, 4651, 9969, 4181, 269, 5808, 798, 596, 1589, 568, 1318, 2496, 1103, 519, 7591, 3033, 692, 25111, 281, 476, 272, 543, 476, 273, 7420, 5426, 1384, 1432, 666, 596, 2161, 827, 519, 1126, 945, 786, 581, 1101, 593, 519, 19209, 14182, 6640, 693, 2736, 5503, 538, 707, 1153, 2496, 310, 15619, 519, 20769, 6670, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 2521, 856, 519, 13169, 602, 568, 5129, 538, 513, 2484, 268, 12537, 2244, 269, 1548, 568, 519, 4960, 540, 10888, 2496, 306, 1539, 762, 21998, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 31161, 707, 27669, 998, 713, 13131, 540, 6486, 543, 1294, 875, 2484, 596, 666, 979, 269, 3657, 596, 14281, 676, 1141, 596, 1439, 909, 2496, 302, 323, 1091, 610, 14520, 525, 2496, 25111, 281, 476, 273, 7420, 5426, 1384, 8196, 519, 2170, 2032, 610, 1404, 713, 18062, 3014, 3054, 269, 1215, 1223, 596, 1118, 621, 4023, 2496, 290, 657, 344, 4856, 1676, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 306, 1460, 11084, 540, 1585, 15437, 616, 14477, 695, 2586, 883, 513, 2468, 836, 331, 983, 11460, 269, 1548, 568, 519, 5506, 540, 2348, 693, 2547, 835, 2699, 538, 519, 7944, 2496, 10521, 781, 7577, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 278, 11084, 616, 695, 2586, 538, 513, 8708, 269, 1411, 3094, 952, 519, 1079, 4544, 11084, 5905, 269, 1548, 568, 519, 5506, 540, 10888, 2496, 307, 4459, 344, 25397, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 1103, 713, 3014, 596, 12235, 1079, 18062, 543, 1265, 741, 2698, 267, 1287, 1847, 519, 3617, 4831, 547, 519, 1318, 269, 6904, 4831, 10301, 519, 13711, 4216, 1101, 286, 1772, 713, 1018, 596, 1131, 2503, 2496, 763, 3828, 10679, 8672, 539, 10060, 10794, 692, 25111, 281, 476, 273, 7420, 5426, 1384, 5970, 513, 979, 693, 713, 3014, 799, 3322, 18530, 1079, 18062, 543, 4946, 741, 9103, 1023, 269, 7316, 1058, 596, 1747, 707, 27669, 547, 581, 811, 2693, 547, 3094, 2496, 302, 323, 1091, 543, 5345, 839, 692, 25111, 281, 476, 274, 7420, 5426, 1384, 3674, 713, 513, 4023, 3014, 286, 1215, 1082, 2081, 616, 972, 540, 2870, 513, 4023, 3014, 676, 4946, 9642, 543, 1256, 2338, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 23336, 311, 307, 335, 292, 339, 10817, 304, 323, 276, 326, 313, 300, 294, 308, 19199, 336, 313, 296, 274, 307, 5263, 6872, 290, 617, 331, 330, 297, 273, 23218, 329, 303, 4962, 337, 336, 2207, 288, 274, 300, 343, 337, 291, 985, 278, 304, 8582, 273, 298, 328, 289, 323, 266, 328, 296, 271, 294, 325, 291, 327, 19072, 320, 313, 335, 273, 338, 310, 21147, 345, 274, 270, 345, 276, 24426, 16775, 3534, 304, 289, 293, 337, 341, 313, 310, 278, 3913, 312, 30470, 298, 4343, 11902, 298, 293, 329, 280, 293, 343, 301, 2763, 7374, 339, 329, 298, 332, 6246, 15238, 280, 332, 298, 335, 13585, 297, 10258, 11770, 342, 332, 309, 341, 274, 292, 313, 7582, 275, 338, 325, 12858, 290, 328, 277, 306, 572, 329, 290, 321, 327, 25539, 270, 266, 295, 313, 14623, 305, 311, 309, 9915, 280, 342, 343, 12788, 342, 306, 297, 296, 310, 14701, 313, 312, 327, 6579, 329, 278, 6630, 309, 320, 280, 324, 311, 309, 294, 345, 342, 302, 4353, 777, 311, 273, 293, 343, 341, 303, 279, 266, 307, 297, 345, 306, 336, 325, 1097, 271, 297, 307, 333, 329, 276, 305, 26501, 345, 335, 270, 309, 344, 19199, 280, 297, 341, 325, 295, 343, 326, 3036, 333, 297, 321, 341, 297, 280, 328, 306, 1442, 288, 277, 320, 5425, 266, 324, 301, 7830, 321, 307, 572, 23682, 341, 5055, 2252, 329, 343, 275, 266, 276, 321, 305, 342, 292, 336, 1626, 7582, 334, 309, 298, 333, 337, 278, 4510, 330, 1575, 308, 31343, 2767, 304, 289, 16576, 304, 310, 278, 311, 13748, 321, 274, 337, 1704, 301, 278, 294, 311, 2793, 330, 303, 280, 293, 280, 308, 329, 292, 273, 526, 311, 288, 277, 6062, 294, 301, 327, 342, 337, 304, 310, 304, 280, 332, 29764, 293, 323, 310, 272, 304, 333, 276, 20062, 3873, 290, 323, 296, 270, 336, 291, 336, 23336, 304, 6434, 304, 344, 299, 300, 274, 313, 328, 296, 2005, 300, 4047, 271, 290, 313, 338, 31159, 294, 301, 337, 307, 289, 341, 338, 879, 13624, 334, 289, 280, 328, 266, 304, 313, 308, 336, 325, 270, 275, 290, 857, 343, 10468, 10976, 2969, 304, 345, 7704, 18933, 288, 278, 28384, 334, 271, 310, 298, 276, 337, 309, 7597, 332, 11803, 328, 291, 22849, 874, 303, 690, 301, 7288, 300, 311, 307, 308, 324, 304, 330, 298, 345, 9188, 273, 1030, 324, 1506, 340, 1111, 266, 6311, 297, 297, 3201, 270, 21589, 26214, 273, 289, 339, 291, 275, 9169, 337, 298, 337, 343, 313, 2704, 336, 273, 321, 298, 331, 321, 18128, 304, 321, 329, 327, 330, 296, 274, 321, 342, 297, 313, 8967, 291, 304, 337, 297, 299, 333, 298, 309, 299, 304, 280, 14654, 292, 334, 2419, 280, 328, 306, 279, 301, 277, 339, 310, 337, 313, 321, 293, 990, 273, 313, 313, 345, 333, 273, 313, 6187, 684, 321, 304, 311, 343, 273, 294, 342, 309, 273, 293, 4629, 706, 342, 312, 320, 303, 311, 321, 288, 302, 323, 326, 278, 343, 332, 10387, 290, 326, 271, 11305, 304, 280, 332, 343, 295, 310, 13510, 295, 2918, 313, 294, 326, 31323, 277, 329, 335, 277, 321, 341, 6349, 342, 275, 8619, 305, 305, 335, 278, 330, 321, 313, 7830, 343, 279, 295, 275, 327, 597, 14623, 9331, 16281, 323, 297, 341, 325, 273, 320, 10774, 335, 271, 343, 276, 331, 290, 24688, 18510, 320, 312, 329, 312, 15605, 291, 271, 288, 278, 313, 9143, 303, 26404, 300, 293, 336, 337, 312, 325, 296, 334, 22473, 322, 7419, 274, 342, 345, 304, 279, 324, 300, 333, 296, 331, 298, 300, 335, 295, 293, 320, 309, 334, 10258, 328, 300, 308, 297, 279, 312, 273, 8980, 313, 289, 327, 299, 13697, 309, 323, 333, 342, 7825, 274, 311, 18091, 337, 1626, 339, 1111, 274, 295, 341, 300, 341, 2316, 578, 339, 280, 326, 297, 320, 279, 29669, 341, 298, 14503, 297, 273, 301, 274, 310, 298, 278, 322, 11266, 300, 2742, 296, 331, 327, 329, 307, 289, 335, 279, 328, 304, 276, 336, 326, 8619, 1103, 313, 31813, 336, 327, 266, 304, 332, 274, 311, 298, 310, 10817, 312, 573, 312, 338, 326, 313, 323, 345, 279, 323, 274, 334, 295, 273, 334, 295, 279, 312, 1428, 333, 13748, 29996, 321, 5588, 337, 331, 313, 344, 342, 984, 760, 278, 13512, 274, 334, 305, 294, 266, 325, 266, 328, 297, 273, 334, 17876, 9143, 2421, 312, 271, 311, 266, 13510, 342, 17315, 277, 337, 321, 31229, 305, 345, 341, 12283, 12682, 345, 302, 312, 301, 342, 339, 1460, 701, 18958, 289, 8248, 289, 308, 27942, 8967, 308, 308, 293, 295, 304, 344, 273, 333, 305, 1177, 266, 308, 1122, 276, 298, 2260, 333, 302, 312, 311, 292, 274, 302, 2412, 278, 337, 293, 313, 299, 343, 278, 296, 345, 312, 10946, 294, 301, 313, 9331, 280, 24884, 3944, 8379, 266, 303, 3528, 312, 335, 336, 291, 280, 338, 274, 2513, 329, 300, 874, 9281, 25446, 1872, 278, 338, 301, 341, 3722, 312, 295, 322, 301, 299, 344, 985, 299, 298, 295, 1872, 14149, 1087, 12336, 310, 298, 300, 10387, 6195, 334, 280, 302, 296, 270, 345, 6434, 266, 270, 9128, 339, 2304, 6224, 14917, 266, 329, 273, 310, 313, 338, 326, 293, 339, 273, 310, 7374, 329, 288, 342, 341, 27426, 341, 311, 337, 272, 343, 4002, 7894, 312, 296, 321, 278, 270, 280, 14654, 345, 342, 304, 320, 310, 307, 329, 344, 271, 304, 16775, 275, 8364, 288, 6113, 329, 322, 278, 307, 274, 338, 2378, 280, 323, 10258, 307, 14899, 297, 321, 12195, 276, 344, 266, 301, 7871, 4002, 280, 311, 296, 9579, 301, 11486, 7933, 291, 327, 4445, 29949, 311, 27426, 333, 337, 1691, 339, 274, 340, 309, 299, 298, 307, 304, 313, 278, 6630, 342, 303, 19282, 343, 4007, 611, 340, 272, 904, 306, 25539, 328, 274, 334, 305, 7032, 311, 278, 329, 16660, 31813, 336, 289, 310, 312, 310, 290, 4343, 342, 302, 276, 291, 332, 273, 302, 271, 312, 296, 308, 332, 295, 329, 3918, 266, 325, 335, 275, 321, 296, 344, 329, 325, 290, 308, 311, 293, 273, 295, 11965, 299, 340, 296, 275, 295, 322, 303, 572, 308, 6349, 4462, 334, 279, 266, 320, 9928, 290, 342, 330, 278, 342, 304, 279, 2260, 296, 326, 311, 326, 277, 292, 32142, 5881, 298, 342, 17070, 288, 302, 266, 279, 10933, 985, 11965, 295, 336, 327, 272, 326, 342, 335, 14888, 15605, 278, 323, 306, 272, 1314, 323, 305, 29369, 611, 296, 328, 305, 278, 308, 297, 10498, 291, 584, 30501, 312, 340, 300, 26214, 613, 275, 1794, 292, 295, 277, 3891, 273, 299, 310, 293, 327, 288, 313, 273, 334, 280, 329, 331, 23218, 6277, 321, 273, 333, 308, 336, 293, 19199, 279, 331, 337, 9816, 332, 21587, 266, 323, 1805, 310, 276, 323, 2767, 16379, 293, 325, 345, 341, 7251, 339, 298, 321, 301, 2764, 332, 24884, 311, 294, 2894, 10394, 307, 294, 297, 303, 2537, 298, 340, 4366, 306, 297, 292, 273, 23623, 13993, 8016, 304, 288, 329, 329, 333, 296, 280, 333, 9680, 629, 557, 329, 297, 333, 288, 304, 278, 306, 277, 328, 313, 304, 321, 28766, 8578, 9366, 309, 266, 308, 313, 345, 310, 343, 331, 298, 17844, 302, 274, 337, 271, 321, 274, 298, 340, 297, 337, 291, 3198, 311, 338, 292, 3149, 310, 300, 341, 11276, 18958, 3607, 297, 272, 599, 341, 308, 294, 10623, 271, 304, 324, 307, 328, 308, 311, 296, 25484, 270, 296, 266, 311, 312, 275, 342, 309, 6858, 320, 29580, 288, 345, 289, 22230, 276, 329, 343, 330, 345, 313, 341, 2207, 276, 337, 278, 270, 266, 868, 271, 293, 310, 1872, 290, 345, 3149, 276, 326, 322, 343, 289, 274, 339, 296, 295, 294, 889, 279, 303, 1168, 339, 14790, 270, 312, 276, 338, 18250, 288, 302, 279, 327, 272, 298, 274, 343, 291, 10258, 310, 308, 308, 294, 10258, 291, 4037, 313, 288, 280, 313, 298, 303, 325, 341, 270, 278, 336, 322, 294, 304, 329, 2793, 329, 327, 308, 326, 306, 2420, 333, 325, 14765, 299, 295, 330, 295, 273, 19878, 299, 293, 874, 300, 342, 274, 332, 4263, 280, 342, 307, 272, 339, 773, 278, 335, 26364, 2710, 302, 6311, 12028, 273, 295, 289, 266, 24382, 293, 296, 321, 304, 334, 311, 30537, 296, 5588, 15425, 340, 273, 305, 273, 290, 332, 1320, 8170, 340, 292, 3722, 305, 334, 291, 14672, 7374, 17668, 308, 2464, 20745, 551, 9680, 321, 298, 331, 3528, 310, 25419, 266, 8619, 293, 266, 291, 329, 5522, 329, 3451, 24926, 312, 297, 345, 2975, 342, 298, 12839, 31983, 310, 310, 304, 296, 295, 334, 17928, 297, 307, 326, 25605, 278, 345, 297, 322, 277, 327, 327, 303, 279, 292, 329, 298, 3445, 277, 323, 298, 299, 311, 321, 304, 280, 303, 340, 2346, 273, 12569, 571, 299, 2419, 307, 345, 17682, 342, 308, 31800, 277, 344, 20081, 313, 275, 328, 15014, 304, 313, 297, 297, 305, 342, 290, 304, 312, 297, 336, 339, 280, 308, 14176, 272, 16936, 304, 7417, 564, 275, 270, 553, 274, 320, 278, 327, 329, 333, 292, 334, 9680, 291, 313, 313, 271, 296, 279, 343, 341, 300, 7597, 19447, 326, 335, 312, 294, 332, 293, 26387, 325, 292, 29996, 294, 10619, 311, 300, 294, 280, 289, 326, 342, 302, 336, 338, 280, 326, 271, 339, 294, 341, 322, 8615, 295, 339, 274, 337, 273, 295, 337, 294, 341, 313, 344, 277, 2764, 335, 30795, 341, 292, 273, 7699, 6187, 325, 291, 600, 2190, 309, 312, 297, 341, 295, 333, 549, 304, 323, 6798, 336, 2106, 336, 276, 311, 329, 311, 31082, 274, 11246, 341, 311, 309, 309, 270, 340, 296, 330, 302, 311, 13697, 1704, 342, 307, 5357, 334, 295, 340, 336, 7761, 298, 344, 8042, 326, 288, 271, 6781, 289, 29949, 313, 274, 8967, 270, 5271, 638, 4026, 298, 323, 275, 2692, 288, 298, 278, 3674, 341, 12858, 807, 290, 329, 327, 14701, 266, 339, 325, 275, 17764, 17247, 323, 313, 18958, 340, 295, 272, 333, 27151, 341, 338, 298, 329, 1168, 10463, 309, 312, 270, 312, 293, 295, 276, 325, 336, 322, 10813, 324, 298, 326, 325, 312, 295, 322, 296, 336, 326, 17751, 335, 297, 276, 21589, 14689, 324, 4462, 289, 327, 292, 320, 294, 308, 17751, 21923, 276, 343, 272, 329, 289, 333, 345, 3240, 344, 310, 18250, 293, 327, 335, 345, 15709, 275, 338, 289, 327, 343, 342, 306, 6717, 312, 278, 303, 266, 332, 301, 16818, 327, 292, 271, 323, 302, 329, 278, 308, 329, 6860, 14176, 3198, 331, 7871, 288, 280, 2839, 276, 11445, 277, 17844, 310, 323, 22230, 341, 310, 325, 6507, 278, 278, 329, 329, 278, 10030, 25897, 266, 330, 291, 279, 335, 292, 342, 23895, 312, 342, 322, 311, 329, 916, 290, 297, 307, 13036, 322, 297, 312, 290, 17989, 322, 292, 6853, 313, 280, 266, 341, 305, 327, 299, 275, 300, 341, 289, 313, 306, 309, 6734, 334, 276, 16660, 2131, 322, 290, 345, 18128, 270, 10602, 298, 276, 312, 342, 325, 27770, 275, 303, 18967, 326, 7775, 6860, 300, 31270, 266, 325, 17762, 295, 332, 276, 313, 312, 298, 322, 313, 345, 291, 665, 290, 24774, 1805, 302, 279, 332, 3412, 298, 342, 277, 331, 310, 337, 309, 330, 272, 313, 270, 2862, 313, 338, 17025, 345, 276, 338, 1428, 299, 296, 273, 305, 325, 329, 299, 638, 341, 16818, 307, 336, 266, 7894, 307, 611, 331, 583, 271, 291, 25897, 279, 304, 26980, 278, 322, 302, 8150, 294, 706, 297, 292, 328, 308, 310, 340, 276, 300, 2260, 335, 329, 290, 4462, 333, 27582, 339, 341, 5652, 29262, 342, 1186, 331, 300, 273, 305, 343, 326, 323, 270, 266, 344, 330, 7644, 329, 326, 336, 266, 2260, 5979, 310, 9573, 321, 277, 1233, 330, 291, 333, 302, 297, 288, 311, 305, 11965, 329, 266, 326, 604, 21254, 343, 308, 312, 304, 25629, 5183, 279, 331, 276, 337, 277, 312, 4041, 278, 333, 337, 1724, 341, 13700, 333, 309, 309, 330, 300, 304, 310, 308, 297, 278, 310, 345, 321, 1729, 273, 300, 23623, 6573, 341, 276, 289, 266, 304, 343, 271, 307, 5392, 311, 340, 312, 288, 329, 329, 294, 26387, 310, 273, 17764, 336, 342, 291, 320, 279, 342, 306, 304, 275, 810, 293, 294, 344, 4263, 274, 293, 344, 297, 23424, 294, 311, 1789, 302, 336, 330, 337, 301, 1372, 277, 344, 11266 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2200, 616, 1163, 2105, 563, 268, 667, 9734, 281, 898, 666, 1291, 721, 547, 3494, 602, 649, 723, 1447, 991, 585, 2200, 982, 649, 2965, 798, 269, 20504, 766, 568, 513, 929, 644, 550, 4640, 1152, 950, 14346, 568, 1360, 1507, 563, 268, 901, 1935, 4523, 950, 649, 2811, 865, 26531, 676, 7525, 2621, 602, 649, 3112, 1544, 585, 2104, 4220, 563, 268, 6215, 25830, 281, 834, 3891, 822, 839, 256, 1284, 4312, 1044, 2495, 547, 1544, 585, 602, 269, 1284, 2973, 29709, 30882, 268, 1520, 2779, 720, 281, 1635, 2519, 938, 2200, 11992, 267, 649, 798, 9585, 930, 4247, 269, 9453, 513, 1981, 1544, 267, 782, 20814, 2200, 547, 1981, 2359, 3587, 11991, 563, 268, 667, 9734, 281, 1403, 1981, 2621, 12446, 1354, 649, 666, 21138, 2200, 547, 1981, 4058, 267, 519, 1981, 3210, 666, 581, 16283, 267, 543, 2407, 8397, 9568, 568, 2009, 563, 19061, 338, 2760, 979, 454, 638, 924, 607, 9709, 269, 1284, 2503, 602, 267, 855, 649, 1810, 1405, 2503, 9568, 269, 1215, 666, 649, 1205, 1732, 693, 31986, 9568, 950, 972, 781, 1869, 942, 547, 2061, 621, 286, 1215, 547, 20128, 513, 24410, 16940, 5741, 6969, 519, 24410, 1076, 3399, 338, 568, 4904, 609, 4388, 585, 26933, 267, 9972, 9946, 267, 9946, 540, 1788, 9946, 267, 543, 13384, 832, 540, 3785, 538, 1788, 15129, 3906, 269, 898, 2337, 3988, 1451, 519, 11029, 10291, 602, 5815, 602, 513, 1788, 568, 693, 1981, 585, 20739, 1188, 720, 538, 942, 547, 798, 1945, 827, 621, 269, 898, 781, 606, 19545, 267, 855, 621, 781, 827, 476, 1428, 260, 3677, 982, 834, 8005, 631, 3437, 3733, 4258, 3150, 8119, 3807, 20430, 476, 866, 269, 4817, 269, 11352, 3767, 256, 4586, 7312, 8292, 616, 10950, 25898, 596, 899, 547, 1294, 707, 8292, 11540, 1934, 286, 678, 321, 1066, 328, 291, 339, 289, 312, 327, 304, 20228, 310, 2177, 301, 336, 343, 684, 518, 287, 2419, 659, 309, 341, 300, 339, 304, 7804, 303, 5633, 313, 309, 321, 301, 4157, 334, 290, 23368, 2593, 306, 754, 803, 707, 8292, 676, 4757, 267, 610, 676, 5680, 1106, 563, 10666, 8672, 6733, 719, 454, 14188, 596, 585, 2542, 713, 2376, 269, 594, 4126, 596, 10150, 621, 543, 1336, 621, 3730, 267, 543, 602, 596, 3513, 2015, 2857, 2056, 621, 547, 513, 3659, 563, 28874, 8672, 6733, 719, 676, 11836, 519, 14886, 540, 8672, 6733, 719, 267, 607, 606, 1367, 610, 607, 606, 3919, 563, 2710, 596, 3068, 513, 1950, 14375, 3510, 286, 27189, 621, 538, 267, 26687, 3585, 952, 596, 899, 267, 543, 594, 3513, 2285, 596, 1250, 1079, 21347, 563, 5415, 4930, 593, 5741, 5004, 912, 268, 3733, 9406, 14272, 454, 268, 1703, 781, 4986, 899, 606, 5945, 610, 4576, 547, 4001, 596, 930, 1272, 4245, 269, 3371, 616, 930, 1919, 594, 4121, 454, 516, 1417, 569, 950, 594, 17303, 4503, 930, 540, 1250, 7115, 563, 268, 19737, 6348, 4211, 2632, 550, 24093, 281, 594, 454, 268, 1879, 1788, 6887, 543, 741, 13384, 832, 4383, 1981, 267, 789, 2356, 1445, 593, 1346, 4220, 1034, 5702, 2404, 454, 5976, 519, 4247, 2443, 1543, 4220, 269, 11531, 267, 824, 4220, 2443, 1875, 9762, 550, 4220, 2443, 1205, 1447, 454, 3430, 1549, 269, 7324, 891, 616, 4220, 1644, 547, 519, 3157, 543, 6214, 676, 799, 519, 3919, 4991, 454, 268, 5071, 8210, 5558, 543, 6828, 4437, 1162, 454, 268, 5071, 6959, 666, 2014, 13311, 4093, 267, 855, 789, 666, 849, 1291, 547, 10950, 26208, 269, 634, 3123, 540, 454, 28236, 1374, 6959, 616, 4909, 10305, 540, 519, 1259, 2516, 1599, 269, 3371, 568, 3487, 4083, 540, 938, 3408, 563, 268, 3680, 11109, 547, 4676, 9347, 23299, 454, 268, 8616, 1586, 267, 649, 14406, 938, 3804, 2443, 649, 941, 3735, 267, 649, 941, 936, 6578, 267, 610, 649, 4503, 547, 519, 6735, 563, 3719, 875, 666, 649, 1205, 1945, 1434, 856, 540, 621, 888, 268, 13560, 538, 519, 1284, 2644, 281, 594, 454, 268, 1879, 2576, 3081, 267, 834, 296, 1589, 649, 2811, 1524, 538, 519, 18047, 2437, 513, 1455, 2495, 568, 602, 649, 2811, 2519, 454, 517, 20025, 2443, 543, 7654, 13061, 2443, 3877, 269, 1215, 1281, 713, 4755, 543, 1018, 666, 454, 933, 798, 827, 621, 888, 293, 2180, 5765, 2152, 540, 8672, 6733, 719, 454, 268, 28527, 5239, 476, 1704, 281, 744, 3200, 645, 3485, 2397, 538, 20821, 902, 454, 268, 2368, 11401, 6336, 741, 1259, 538, 642, 664, 8942, 547, 30114, 1518, 513, 11350, 580, 5166, 16045, 945, 3274, 786, 711, 581, 30114, 1881, 269, 3371, 781, 835, 9183, 602, 13352, 713, 4806, 269, 12232, 1934, 543, 676, 681, 7704, 593, 5239, 476, 1704, 563, 268, 1656, 593, 5239, 476, 2190, 281, 22062, 566, 7054, 761, 1218, 281, 594, 454, 268, 22062, 725, 693, 960, 666, 581, 24858, 1256, 950, 3025, 13290, 547, 581, 30251, 267, 2312, 267, 543, 796, 3711, 27631, 269, 1809, 930, 1004, 2965, 2119, 547, 581, 562, 7360, 267, 15458, 267, 543, 24813, 269, 3371, 781, 3487, 594, 540, 513, 1507, 4015, 540, 741, 2553, 269, 12232, 1934, 543, 676, 681, 7704, 593, 5239, 476, 2190, 563, 296, 2709, 4757, 543, 15146, 18006, 693, 1312, 9746, 543, 1367, 3928, 269, 13555, 25599, 585, 3877, 693, 678, 321, 1066, 309, 342, 343, 310, 296, 327, 291, 4942, 30795, 17989, 296, 641, 1676, 287, 2419, 659, 337, 19136, 6996, 332, 3149, 307, 297, 339, 330, 322, 336, 334, 290, 23368, 2593, 610, 630, 20981, 264, 476, 4281, 278, 268, 5038, 278, 276, 267, 610, 17167, 6954, 538, 519, 18626, 2475, 693, 630, 279, 5780, 264, 476, 274, 4281, 268, 276, 5325, 271, 563, 7476, 519, 19545, 2336, 303, 770, 2152, 540, 8672, 6733, 719, 616, 2139, 538, 3670, 552, 9248, 912, 268, 5192, 476, 1220, 272, 268, 273, 538, 2983, 3150, 5213, 1405, 8092, 593, 3828, 12127, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 274, 268, 275, 538, 4208, 17268, 25538, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 276, 268, 277, 538, 10753, 4878, 12085, 1284, 1684, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 278, 268, 279, 538, 12085, 1284, 5617, 10079, 2334, 9320, 589, 1066, 1405, 1924, 6936, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 476, 1220, 280, 268, 1015, 538, 634, 5999, 3502, 18542, 630, 14457, 267, 20430, 476, 1556, 269, 4817, 994, 268, 5192, 782, 540, 519, 1101, 12964, 1296, 630, 1220, 272, 268, 1001, 273, 264, 538, 634, 11814, 539, 12983, 540, 8672, 6733, 719, 630, 14457, 267, 20430, 476, 2764, 269, 4200, 994, 6701, 596, 513, 5856, 267, 9375, 610, 17404, 593, 21120, 286, 3657, 596, 3168, 585, 606, 2376, 602, 786, 1205, 1004, 6158, 543, 1205, 5360, 9323, 10760, 707, 1259, 286, 1411, 666, 723, 476, 4335, 1913, 538, 707, 28600, 538, 835, 5662, 269, 17821, 1022, 2376, 689, 713, 5680, 3135, 269, 2859, 9623, 454, 268, 634, 5295, 18748, 281, 1215, 1284, 18124, 3776, 9608, 5295, 454, 268, 3509, 1004, 945, 4865, 1483, 10721, 1379, 723, 513, 8984, 1629, 6756, 528, 269, 898, 781, 519, 1259, 789, 1788, 741, 4527, 269, 594, 1289, 713, 519, 1379, 1860, 269, 2368, 1004, 2443, 1289, 873, 1379, 5910, 11367, 2443, 9772, 519, 1379, 1860, 1134, 1354, 789, 12492, 1713, 10721, 1379, 269, 10251, 585, 741, 9164, 267, 543, 585, 741, 3906, 267, 1379, 5910, 11367, 666, 12492, 10721, 1379, 856, 540, 8167, 547, 741, 20519, 610, 5759, 269, 4197, 519, 1379, 1860, 568, 4061, 1271, 585, 4896, 945, 6663, 547, 12492, 1379, 267, 610, 4896, 945, 1568, 609, 1379, 5910, 11367, 269, 3367, 811, 827, 713, 1982, 269, 0, 8489, 553, 713, 3381, 8761, 513, 6263, 18951, 689, 519, 5450, 24227, 5441, 540, 15173, 15158, 3257, 1018, 9424, 547, 513, 5378, 345, 341, 1695, 267, 649, 616, 2111, 547, 782, 1589, 827, 513, 2104, 998, 799, 713, 2370, 8284, 949, 588, 629, 596, 1369, 519, 737, 880, 7719, 563, 1607, 3552, 2370, 18951, 2306, 946, 540, 13590, 2604, 547, 7669, 610, 1166, 641, 585, 2072, 543, 23651, 547, 8749, 3294, 6619, 676, 10792, 5054, 269, 12824, 666, 20716, 2359, 621, 689, 16538, 540, 519, 26430, 563, 2108, 7197, 2831, 723, 513, 1850, 27480, 547, 1850, 3766, 777, 5223, 540, 1079, 281, 272, 547, 476, 272, 281, 272, 269, 1924, 649, 5462, 547, 1711, 938, 18951, 9001, 476, 272, 281, 272, 8167, 2223, 5018, 3220, 269, 30715, 962, 1690, 532, 540, 4975, 308, 779, 10406, 540, 4437, 32441, 7177, 563, 763, 7953, 616, 1547, 4792, 6515, 17890, 543, 11329, 267, 16715, 11508, 269, 634, 18951, 568, 1500, 689, 968, 338, 559, 6625, 2326, 5219, 547, 607, 4874, 323, 574, 14007, 338, 559, 2135, 2033, 630, 11520, 5960, 264, 11251, 609, 6419, 5536, 799, 2636, 621, 547, 581, 20716, 7307, 676, 1818, 946, 540, 13590, 2604, 1848, 898, 1522, 4440, 18846, 12303, 476, 3445, 2157, 547, 18214, 936, 9465, 563, 763, 3173, 723, 964, 6312, 3481, 519, 2370, 8284, 676, 513, 1297, 540, 9157, 5054, 267, 1927, 609, 713, 5848, 812, 928, 23936, 540, 513, 17737, 269, 898, 666, 849, 4163, 11955, 543, 6749, 873, 1055, 607, 4941, 563, 10527, 27726, 6989, 543, 19249, 9403, 540, 1585, 8031, 8659, 538, 519, 1480, 26430, 1118, 6283, 2352, 269, 3776, 3818, 6122, 13949, 18951, 8761, 513, 23773, 4398, 538, 9867, 1768, 23230, 543, 4061, 1930, 5458, 3252, 585, 3075, 3761, 8659, 538, 519, 26430, 2223, 5018, 7905, 15651, 2098, 340, 1678, 2967, 563, 763, 12284, 13922, 547, 1711, 513, 27500, 18951, 19692, 610, 2663, 267, 799, 1522, 5512, 519, 2370, 8284, 547, 18214, 1524, 707, 24647, 543, 883, 707, 575, 7491, 1310, 799, 267, 950, 621, 814, 12628, 922, 31139, 267, 23271, 883, 4986, 1145, 610, 2097, 856, 707, 512, 1276, 639, 269, 0, 18907, 568, 29233, 13600, 267, 799, 2488, 606, 4316, 547, 1865, 267, 4497, 609, 543, 1489, 519, 11806, 266, 2146, 269, 1677, 948, 596, 1683, 1489, 543, 5796, 547, 1053, 609, 2055, 1472, 11806, 266, 2152, 267, 649, 4076, 15504, 1927, 513, 1592, 540, 10643, 593, 519, 1888, 7132, 513, 1592, 540, 3730, 7270, 585, 2417, 2542, 912, 5804, 2776, 9080, 823, 547, 29233, 281, 589, 3778, 540, 519, 11806, 266, 11873, 1107, 25138, 700, 877, 454, 5804, 2776, 9080, 823, 547, 29233, 5654, 693, 519, 4473, 543, 10781, 540, 519, 11806, 266, 3350, 543, 519, 1114, 2950, 267, 23806, 543, 2984, 540, 2295, 19874, 543, 10100, 602, 723, 22415, 1117, 7258, 621, 563, 8110, 2739, 585, 3988, 9907, 476, 1556, 543, 20733, 267, 713, 1433, 786, 8300, 10100, 543, 11348, 538, 1762, 11806, 266, 1004, 543, 948, 2626, 2055, 585, 782, 3988, 5461, 538, 4008, 543, 3961, 269, 28150, 5813, 883, 519, 13346, 8456, 602, 723, 13934, 24139, 267, 14447, 267, 25251, 543, 19574, 1004, 543, 519, 2833, 602, 948, 721, 1174, 1018, 621, 1797, 547, 581, 11806, 266, 2221, 563, 7818, 13923, 30697, 5002, 272, 670, 289, 11278, 1724, 269, 4200, 269, 4855, 856, 811 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 3617, 543, 1287, 6029, 519, 2324, 780, 274, 269, 8340, 519, 9030, 1871, 585, 2845, 18750, 264, 1141, 1990, 815, 630, 274, 8203, 272, 270, 273, 1107, 328, 692, 275, 269, 4855, 14803, 18750, 264, 585, 1384, 320, 264, 1990, 815, 476, 279, 1496, 10339, 1775, 263, 278, 7032, 270, 476, 274, 264, 6540, 321, 264, 1990, 815, 1163, 263, 273, 264, 1163, 9217, 14039, 2020, 2690, 519, 2706, 910, 3711, 25875, 2979, 627, 714, 1384, 276, 269, 2913, 1990, 272, 267, 1990, 273, 543, 1990, 274, 1106, 519, 14622, 540, 513, 6906, 607, 8612, 538, 519, 6516, 269, 8058, 602, 1384, 10401, 815, 2415, 18950, 345, 273, 910, 345, 272, 8358, 630, 345, 274, 910, 1990, 272, 14587, 815, 2415, 630, 345, 273, 910, 1990, 272, 264, 910, 2415, 18750, 274, 910, 1990, 272, 2020, 295, 842, 281, 7102, 12761, 6152, 538, 519, 1950, 7077, 281, 642, 714, 1421, 630, 345, 910, 1990, 271, 264, 666, 581, 19775, 607, 513, 8701, 1106, 1384, 18750, 910, 1990, 271, 264, 815, 678, 6262, 657, 7117, 1341, 568, 514, 7117, 2020, 25669, 547, 2268, 519, 3845, 689, 1990, 271, 547, 1990, 269, 0, 346, 314, 5401, 300, 20687, 9948, 10926, 9349, 5658, 621, 692, 346, 314, 5401, 300, 20687, 9948, 10926, 13232, 3410, 318, 306, 6860, 5334, 30055, 692, 258, 4571, 3410, 318, 306, 6860, 5334, 30055, 910, 13878, 476, 1708, 11068, 3410, 11929, 19105, 729, 476, 7906, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 274, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 21316, 476, 1708, 11068, 3410, 11929, 267, 4728, 476, 1015, 476, 1220, 275, 19105, 729, 476, 7906, 2600, 269, 476, 272, 269, 630, 1626, 2798, 264, 634, 5276, 7004, 570, 21810, 10321, 538, 681, 476, 273, 538, 519, 1739, 1259, 281, 1101, 621, 29226, 519, 6152, 998, 606, 5086, 540, 476, 1789, 5232, 4831, 22018, 3772, 827, 519, 5169, 267, 1287, 621, 29156, 519, 6152, 779, 3259, 543, 1287, 621, 9356, 519, 4611, 6152, 2066, 519, 1899, 540, 9386, 476, 272, 998, 519, 5169, 269, 1548, 568, 519, 3044, 5119, 540, 570, 7790, 15585, 566, 676, 476, 1789, 5232, 4831, 22018, 3772, 568, 2016, 676, 519, 5119, 834, 5430, 12631, 270, 476, 277, 910, 5609, 12631, 270, 476, 277, 5609, 12631, 270, 476, 277, 5430, 12631, 270, 476, 277, 1948, 815, 834, 476, 274, 1315, 476, 273, 910, 476, 272, 1315, 476, 273, 476, 272, 1315, 476, 273, 476, 274, 1315, 476, 273, 1948, 8935, 17331, 519, 3259, 568, 12913, 676, 14921, 713, 5119, 676, 476, 273, 269, 14506, 2066, 519, 1899, 1535, 476, 272, 815, 1535, 476, 273, 568, 2016, 676, 519, 5119, 834, 476, 271, 476, 272, 476, 272, 476, 271, 1948, 1924, 519, 5119, 540, 570, 568, 834, 476, 271, 476, 272, 476, 272, 476, 271, 1948, 834, 476, 274, 910, 476, 272, 476, 272, 476, 274, 1948, 815, 834, 476, 272, 476, 274, 476, 274, 910, 476, 272, 1948, 476, 273, 269, 630, 1626, 2798, 264, 2913, 589, 815, 476, 272, 476, 273, 476, 271, 476, 273, 476, 271, 476, 271, 476, 272, 476, 274, 910, 476, 272, 910, 476, 273, 476, 272, 476, 272, 476, 273, 476, 275, 910, 476, 272, 476, 272, 799, 4737, 6971, 547, 678, 10915, 630, 589, 3738, 815, 476, 272, 476, 273, 476, 271, 476, 273, 476, 271, 476, 271, 476, 272, 476, 274, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 476, 271, 1547, 630, 320, 264, 4855, 513, 4493, 585, 519, 3239, 540, 589, 1547, 2051, 8435, 476, 272, 543, 476, 274, 540, 678, 10915, 10490, 264, 723, 1291, 476, 272, 779, 865, 2051, 8435, 476, 272, 543, 476, 274, 540, 589, 1106, 513, 4493, 585, 519, 3239, 540, 589, 269, 8382, 281, 476, 272, 476, 271, 910, 476, 272, 476, 273, 2073, 476, 271, 476, 272, 476, 272, 910, 476, 272, 630, 321, 264, 4855, 513, 4493, 585, 519, 17830, 540, 589, 1547, 8382, 281, 910, 476, 273, 476, 272, 476, 271, 476, 271, 2073, 910, 476, 273, 476, 271, 910, 476, 274, 476, 272, 630, 322, 264, 4855, 513, 5119, 645, 971, 602, 519, 3239, 540, 645, 568, 519, 1482, 607, 519, 17830, 540, 589, 1547, 8382, 281, 645, 815, 910, 476, 273, 910, 476, 273, 476, 272, 476, 271, 476, 271, 910, 476, 274, 476, 271, 476, 272, 630, 323, 264, 4855, 513, 5119, 595, 971, 602, 519, 17830, 540, 595, 568, 519, 1482, 607, 519, 3239, 540, 589, 1547, 2290, 2009, 2626, 568, 834, 476, 272, 910, 476, 272, 476, 272, 476, 271, 910, 476, 273, 476, 272, 476, 271, 476, 272, 1948, 1547, 476, 274, 269, 630, 1626, 2798, 264, 2913, 966, 581, 519, 1016, 11898, 540, 681, 476, 275, 838, 10165, 676, 519, 10321, 9625, 341, 476, 272, 815, 476, 272, 476, 272, 476, 272, 476, 272, 9625, 341, 476, 273, 815, 476, 272, 476, 273, 910, 476, 272, 476, 271, 9625, 341, 476, 274, 815, 476, 271, 476, 272, 476, 272, 910, 476, 272, 692, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 5416, 264, 4855, 513, 4493, 585, 966, 1547, 1677, 12337, 966, 649, 12337, 23128, 476, 272, 476, 272, 476, 272, 476, 272, 476, 272, 476, 273, 910, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 910, 476, 272, 815, 23128, 476, 272, 476, 271, 476, 271, 476, 273, 476, 271, 476, 272, 476, 271, 910, 476, 272, 476, 271, 476, 271, 476, 272, 476, 271, 815, 910, 476, 273, 512, 512, 476, 271, 512, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 8525, 272, 1315, 476, 275, 692, 13232, 3410, 318, 306, 6860, 5334, 30055, 910, 13878, 476, 1708, 11068, 3410, 11929, 19105, 729, 476, 7906, 13718, 1607, 12744, 2982, 3561, 3817, 476, 272, 910, 476, 274, 269, 6178, 909, 547, 2070, 519, 2407, 3561, 780, 8698, 9509, 11657, 454, 16485, 513, 6780, 2243, 910, 21493, 616, 2228, 0, 258, 476, 3422, 276, 589, 9391, 10933, 10819, 270, 19370, 476, 2764, 692, 1012, 9046, 692, 2304, 15583, 1807, 630, 332, 8221, 25047, 13826, 264, 540, 1269, 333, 259, 7833, 3268, 7298, 693, 782, 2053, 1784, 1742, 693, 3586, 3432, 269, 5565, 8695, 267, 1269, 288, 259, 543, 1269, 313, 8961, 3802, 1524, 519, 15583, 1807, 20406, 607, 621, 7575, 267, 589, 27410, 7466, 607, 1082, 15583, 1807, 3268, 829, 8792, 607, 1269, 313, 10608, 1269, 288, 259, 10301, 519, 5377, 1310, 2921, 1269, 2767, 259, 3268, 1247, 1269, 313, 259, 10301, 519, 5377, 1310, 2921, 1269, 1240, 259, 3268, 269, 3973, 1269, 333, 259, 568, 1384, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 8287, 1422, 29911, 1422, 3667, 8578, 18950, 289, 264, 476, 4153, 476, 7918, 1422, 29911, 1422, 3667, 8578, 18950, 290, 264, 476, 4153, 476, 3393, 1422, 29911, 1422, 3667, 8578, 18950, 291, 264, 476, 4153, 476, 3607, 1422, 29911, 1422, 3667, 8578, 18950, 292, 264, 476, 4153, 476, 1789, 6911, 1012, 8827, 692, 2252, 649, 1577, 1269, 313, 259, 262, 338, 3432, 581, 1269, 345, 259, 3268, 26553, 1393, 267, 1287, 1269, 288, 259, 262, 338, 3432, 568, 1269, 273, 345, 259, 3268, 26553, 1393, 269, 2913, 1269, 339, 19963, 259, 581, 519, 942, 1269, 288, 259, 6170, 593, 519, 15583, 1807, 267, 543, 1577, 1269, 339, 318, 345, 259, 581, 519, 942, 1269, 313, 259, 6170, 593, 519, 15583, 1807, 269, 3973, 267, 649, 917, 602, 1269, 288, 259, 15336, 1524, 1269, 273, 345, 339, 19963, 284, 2767, 259, 3268, 267, 543, 1269, 313, 259, 15336, 1524, 1269, 345, 339, 318, 345, 284, 1240, 259, 3268, 269, 29435, 532, 519, 1101, 3830, 676, 519, 2034, 267, 649, 1294, 602, 281, 1422, 8218, 9387, 15857, 8607, 1422, 2765, 346, 273, 345, 339, 19963, 2410, 345, 339, 318, 345, 31905, 7807, 2765, 346, 2767, 2410, 1240, 348, 8607, 1422, 2765, 346, 273, 339, 19963, 2410, 339, 318, 345, 31905, 7807, 2765, 346, 274, 2410, 273, 348, 8607, 512, 19963, 261, 7807, 2765, 346, 274, 2410, 275, 348, 339, 318, 345, 8607, 1422, 754, 9387, 265, 10926, 13295, 267, 1317, 1269, 288, 259, 729, 593, 519, 15583, 1807, 585, 4399, 2765, 346, 274, 2410, 275, 4151, 607, 1279, 607, 1269, 313, 259, 729, 267, 1269, 288, 259, 1152, 6591, 4399, 2765, 346, 274, 2410, 275, 4151, 607, 1082, 834, 16451, 257, 3268, 630, 328, 4318, 269, 3268, 602, 798, 711, 723, 547, 581, 3144, 1317, 519, 15583, 1807, 568, 3001, 1524, 1040, 1284, 917, 602, 1269, 288, 259, 6591, 18159, 333, 268, 2767, 7751, 1863, 3268, 267, 543, 1269, 313, 259, 6591, 18159, 333, 268, 1240, 7751, 1863, 3268, 269, 4935, 649, 723, 519, 1739, 3830, 281, 1269, 333, 268, 2767, 7807, 2765, 346, 274, 2410, 275, 12917, 333, 268, 1240, 30879, 14572, 585, 1269, 333, 259, 3947, 721, 4399, 7901, 539, 3189, 3667, 8578, 18950, 289, 264, 7684, 7918, 23201, 0, 283, 19112, 521, 21683, 6889, 10059, 2517, 323, 276, 333, 343, 560, 279, 325, 745, 342, 275, 345, 17085, 3716, 12506, 14492, 270, 520, 337, 330, 3052, 604, 286, 27665, 284, 328, 288, 272, 303, 328, 272, 320, 279, 291, 344, 876, 2096, 257, 2511, 6889, 5891, 281, 333, 821, 257, 4463, 6889, 272, 257, 8700, 6889, 272, 257, 5621, 284, 3269, 1315, 11417, 2791, 616, 13156, 606, 4587, 4528, 540, 713, 10417, 269, 3619, 547, 519, 5767, 4528, 780, 258, 1230, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 692, 1012, 16448, 531, 6898, 6537, 689, 606, 952, 2389, 1156, 3948, 780, 15307, 13846, 278, 1295, 560, 334, 2347, 454, 14999, 3682, 28698, 454, 20797, 1230, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 454, 3682, 28698, 454, 15307, 13846, 278, 1295, 560, 334, 2347, 454, 14999, 3519, 2091, 267, 769, 2091, 267, 543, 2552, 571, 27168, 692, 1432, 952, 707, 11078, 5143, 596, 834, 604, 596, 798, 519, 8286, 267, 1287, 594, 786, 948, 596, 609, 707, 6780, 22172, 1548, 781, 513, 3948, 602, 568, 25401, 6697, 547, 1018, 707, 11078, 1767, 286, 2991, 11264, 713, 10417, 267, 596, 786, 917, 875, 547, 2626, 713, 2243, 607, 596, 3605, 3221, 525, 267, 538, 951, 525, 267, 543, 15333, 1842, 14476, 267, 543, 875, 4657, 513, 19585, 3948, 5540, 5168, 1871, 780, 2162, 30334, 692, 13706, 519, 3948, 281, 1403, 519, 4365, 568, 8799, 267, 1287, 594, 786, 11547, 519, 1286, 269, 901, 666, 581, 17370, 9287, 1210, 5022, 547, 2099, 519, 8367, 543, 3932, 1384, 2252, 1109, 335, 267, 6533, 1109, 336, 3602, 335, 284, 1492, 4365, 568, 8799, 543, 336, 284, 296, 786, 11547, 519, 1286, 269, 7775, 28872, 336, 26142, 8218, 9387, 265, 4153, 3667, 346, 2252, 348, 1422, 533, 267, 1422, 3667, 346, 6533, 348, 1422, 7117, 30974, 1422, 3667, 346, 3602, 348, 30974, 533, 815, 1422, 3667, 346, 1492, 4365, 568, 8799, 543, 348, 30974, 7117, 815, 1422, 3667, 346, 296, 786, 11547, 519, 1286, 269, 348, 30974, 1422, 3667, 346, 7775, 9574, 533, 1422, 21375, 7117, 26142, 754, 9387, 265, 10926, 1103, 1840, 547, 891, 1064, 14476, 267, 649, 666, 849, 2328, 519, 2258, 725, 267, 610, 968, 2254, 892, 338, 540, 533, 17961, 9387, 15857, 335, 17910, 9387, 15857, 543, 7117, 17961, 9387, 15857, 336, 17910, 9387, 15857, 269, 634, 12572, 4528, 540, 711, 533, 17961, 9387, 15857, 335, 17910, 9387, 265, 9574, 568, 533, 17961, 9387, 265, 4153, 13678, 533, 17910, 9387, 15857, 780, 335, 284, 1492, 4365, 568, 711, 8799, 336, 284, 296, 786, 711, 11547, 519, 1286, 17961, 9387, 265, 4153, 13678, 533, 284, 1422, 3667, 346, 1492, 4365, 568, 711, 8799, 348, 30974, 1422, 13678, 7117, 815, 1422, 3667, 346, 296, 786, 711, 11547, 519, 1286, 4153, 754, 9387, 265, 10926, 8794, 891, 2258, 725, 543, 15175, 519, 1931, 540, 533, 17961, 9387, 15857, 335, 17910, 9387, 15857, 543, 7117, 17961, 9387, 15857, 336, 17910, 9387, 265, 9574, 649, 666, 1711, 1614, 811, 19585, 6898, 780, 17961, 9387, 15857, 261, 1422, 3667, 346, 3519, 2091, 348, 30974, 7117, 1422, 21375, 533, 30974, 1422, 8974, 3630, 576, 3189, 3667, 346, 2252, 594, 11547, 519, 1286, 3686, 3709, 336, 9574, 1422, 1422, 8974, 3630, 576, 3189, 3667, 346, 6533, 519, 4365, 568, 8799, 3686, 3709, 335, 20467 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 781, 2671, 3902, 568, 259, 4366, 269, 7176, 543, 3140, 661, 4916, 568, 1269, 274, 269, 8660, 269, 8074, 281, 22955, 21433, 689, 5616, 16010, 593, 476, 2190, 4728, 476, 1001, 275, 269, 6904, 10909, 4043, 547, 723, 1970, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 8307, 2015, 10909, 609, 2318, 15271, 267, 23304, 731, 10909, 609, 2942, 15271, 543, 4061, 2942, 18027, 12753, 269, 6904, 540, 519, 1739, 1902, 762, 7221, 616, 10691, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6480, 1493, 519, 4457, 4871, 15096, 6195, 781, 2671, 3902, 1210, 513, 18807, 23302, 3902, 15271, 630, 14154, 264, 23385, 1935, 609, 519, 1739, 10054, 543, 5515, 1152, 269, 8074, 602, 519, 15646, 2381, 6798, 630, 305, 11586, 264, 568, 519, 4457, 9304, 267, 849, 1634, 607, 519, 586, 10224, 630, 290, 29369, 1040, 3040, 634, 476, 275, 2101, 4457, 8492, 15096, 6195, 267, 3624, 14716, 7813, 630, 6717, 289, 1070, 7813, 540, 3624, 630, 289, 8016, 264, 543, 16581, 7813, 540, 3624, 630, 27398, 264, 616, 13380, 3549, 282, 3040, 15096, 6195, 1412, 338, 3140, 15271, 829, 2671, 630, 292, 4916, 264, 568, 681, 11586, 476, 271, 269, 10619, 282, 3040, 16671, 289, 781, 18807, 23302, 18027, 5223, 568, 476, 275, 269, 6795, 282, 3040, 645, 8016, 1412, 338, 18807, 23302, 18027, 5223, 568, 476, 275, 269, 4281, 282, 3040, 13235, 781, 18807, 23302, 18027, 5223, 568, 849, 476, 275, 269, 4281, 282, 8074, 281, 22955, 21433, 689, 5616, 16010, 593, 476, 1839, 4728, 476, 1001, 275, 269, 9523, 5777, 616, 689, 519, 29258, 6006, 5385, 269, 6904, 10909, 4043, 547, 723, 1164, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 6904, 540, 519, 1739, 3549, 568, 1034, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6904, 540, 519, 1739, 1902, 762, 7221, 568, 519, 19845, 17129, 5078, 585, 29925, 1210, 18027, 23385, 2553, 286, 6904, 10909, 4043, 547, 723, 1970, 4464, 23302, 3902, 268, 792, 11789, 630, 14154, 264, 12753, 286, 8307, 2015, 10909, 609, 2318, 18027, 12753, 269, 634, 1739, 3349, 2982, 513, 3732, 540, 3140, 2698, 7024, 540, 8843, 538, 1079, 1114, 3549, 589, 543, 645, 269, 476, 14351, 16849, 11192, 2500, 5993, 7024, 5729, 1269, 337, 318, 288, 259, 1269, 337, 29758, 259, 476, 1220, 278, 476, 271, 269, 273, 476, 271, 269, 275, 476, 1220, 279, 476, 271, 269, 6860, 910, 271, 269, 273, 476, 1220, 280, 910, 271, 269, 272, 910, 271, 269, 274, 476, 1001, 271, 476, 271, 269, 1240, 476, 271, 269, 276, 1548, 568, 519, 3140, 3732, 31809, 630, 7445, 1002, 3189, 18406, 13925, 288, 32390, 4151, 264, 543, 9756, 630, 7445, 24838, 3709, 288, 32390, 4151, 264, 540, 6006, 589, 543, 645, 781, 2698, 2500, 5993, 7024, 286, 5565, 19408, 13632, 589, 543, 645, 17663, 606, 3160, 27954, 539, 14769, 269, 634, 9756, 1063, 519, 13632, 262, 7024, 568, 476, 3583, 10065, 1403, 519, 13065, 540, 6006, 589, 4679, 855, 519, 281, 3040, 31245, 543, 4397, 7024, 540, 1142, 6006, 13978, 519, 1482, 267, 3040, 7352, 766, 540, 6006, 645, 781, 7024, 13978, 519, 1482, 267, 3040, 4856, 21975, 540, 7024, 1063, 519, 13632, 13978, 519, 1482, 269, 6904, 540, 519, 1739, 6898, 568, 10691, 2953, 286, 2353, 1919, 6967, 3160, 267, 519, 2362, 519, 9756, 540, 7024, 1063, 1079, 13632, 281, 6904, 540, 519, 1739, 6898, 827, 3044, 8579, 6128, 10035, 568, 10691, 2953, 286, 634, 31809, 543, 9756, 540, 1079, 13632, 2473, 543, 962, 781, 5993, 7024, 616, 7229, 936, 513, 1297, 540, 1296, 269, 634, 4559, 540, 519, 7024, 616, 538, 2600, 829, 3045, 636, 1269, 7268, 260, 17328, 30879, 1548, 616, 519, 4559, 540, 519, 31809, 1269, 7268, 18406, 3709, 311, 267, 312, 348, 7751, 543, 9756, 1269, 7268, 24838, 3709, 311, 267, 312, 348, 7751, 540, 7024, 6606, 286, 670, 842, 281, 16731, 9504, 547, 1174, 519, 3017, 1063, 6871, 2798, 1269, 7268, 3667, 346, 653, 348, 7751, 543, 2600, 1269, 7268, 260, 30879, 1548, 568, 519, 31809, 540, 513, 4756, 2473, 609, 3294, 286, 634, 524, 990, 11583, 267, 2473, 264, 610, 4399, 18406, 3709, 311, 267, 311, 4151, 11224, 281, 1548, 568, 519, 31809, 540, 513, 4756, 2473, 609, 513, 3586, 595, 286, 634, 524, 990, 11583, 267, 595, 264, 610, 4399, 18406, 3709, 311, 267, 290, 4151, 11224, 281, 476, 12313, 4578, 5384, 10022, 590, 712, 1027, 689, 23968, 5622, 16010, 8466, 12313, 4578, 11261, 590, 261, 303, 4335, 12039, 630, 317, 294, 9915, 290, 264, 11197, 630, 288, 4338, 299, 264, 7046, 4400, 8899, 19171, 1520, 329, 2673, 7046, 4400, 8899, 19171, 1520, 329, 2673, 476, 1220, 278, 267, 11205, 476, 274, 3967, 476, 15221, 279, 476, 16318, 280, 476, 9610, 279, 476, 15221, 278, 476, 15221, 278, 476, 1321, 269, 3451, 476, 1321, 269, 4391, 476, 1556, 269, 278, 476, 1556, 269, 9032, 476, 1015, 269, 5655, 476, 1220, 279, 267, 11205, 476, 273, 3967, 476, 16409, 279, 476, 15704, 273, 476, 13893, 273, 476, 13893, 278, 476, 13893, 278, 476, 2764, 269, 5325, 476, 2764, 269, 8618, 476, 2767, 269, 7906, 476, 2767, 269, 10695, 476, 2190, 269, 2420, 476, 1220, 280, 267, 29443, 476, 273, 3967, 476, 3445, 274, 476, 280, 3374, 476, 279, 4200, 476, 280, 3953, 476, 280, 3953, 476, 1321, 269, 2767, 476, 1724, 269, 4905, 476, 1321, 269, 1704, 476, 1321, 269, 9834, 476, 1556, 269, 2764, 476, 1001, 271, 267, 3933, 476, 275, 3967, 476, 9340, 278, 476, 13647, 275, 476, 9340, 278, 476, 13647, 274, 476, 13647, 274, 476, 1789, 269, 5392, 476, 1789, 269, 5038, 476, 1789, 269, 4097, 476, 1789, 269, 6872, 476, 2918, 269, 277, 11905, 281, 23968, 5622, 16010, 269, 6904, 540, 519, 1739, 6898, 827, 519, 1657, 3349, 799, 568, 1031, 547, 5173, 11197, 781, 9698, 12498, 568, 10691, 2953, 286, 667, 1392, 2305, 538, 513, 14769, 540, 1079, 7221, 1568, 1655, 950, 519, 9756, 1063, 741, 7024, 568, 281, 1548, 568, 519, 9756, 540, 513, 4756, 2473, 609, 3294, 286, 634, 1351, 337, 11583, 267, 2473, 264, 610, 4399, 24838, 3709, 311, 267, 311, 4151, 11224, 281, 1548, 568, 519, 9756, 540, 513, 4756, 2473, 609, 513, 3586, 595, 286, 634, 1351, 337, 11583, 267, 595, 264, 610, 4399, 24838, 3709, 311, 267, 290, 4151, 11224, 281, 476, 5741, 4578, 5741, 1272, 476, 272, 1032, 19461, 5092, 538, 3937, 259, 277, 332, 3493, 21090, 540, 3937, 829, 1032, 1269, 277, 332, 1401, 4624, 9042, 3902, 540, 3937, 693, 1439, 540, 1788, 476, 271, 5149, 6455, 829, 1032, 476, 280, 332, 22312, 3902, 829, 1770, 259, 279, 24438, 1942, 829, 1770, 1269, 277, 674, 12089, 3790, 829, 1032, 267, 6976, 693, 519, 1439, 540, 1142, 1032, 259, 272, 332, 9314, 13258, 538, 1101, 1032, 630, 520, 512, 284, 272, 264, 1269, 271, 269, 7871, 332, 12525, 2557, 476, 1789, 260, 6554, 1726, 21204, 6125, 6556, 476, 276, 260, 7813, 10211, 7963, 6556, 476, 277, 260, 10369, 14769, 2132, 476, 1015, 260, 595, 20654, 766, 540, 682, 30099, 9698, 7024, 609, 2344, 476, 271, 269, 5400, 7352, 766, 540, 2344, 14769, 7024, 476, 271, 269, 1626, 674, 3305, 781, 543, 1788, 781, 7963, 3562, 12431, 1115, 5223, 476, 2004, 260, 11872, 476, 272, 269, 9603, 547, 519, 1788, 267, 1699, 7221, 786, 2333, 676, 259, 276, 332, 1631, 630, 339, 284, 271, 264, 543, 2887, 676, 1269, 276, 332, 693, 519, 1439, 630, 339, 284, 272, 1040, 7351, 20824, 786, 711, 581, 4299, 269, 2667, 636, 6877, 3040, 634, 7963, 3562, 12431, 1115, 5223, 786, 581, 6854, 3586, 2429, 519, 1272, 540, 519, 1788, 269, 634, 2179, 540, 1719, 13258, 693, 519, 1439, 540, 1142, 1974, 814, 1044, 7157, 7229, 547, 2226, 713, 3586, 7963, 3562, 25668, 640, 5223, 269, 3040, 7085, 687, 616, 6719, 676, 1412, 332, 8339, 3040, 2353, 6666, 8928, 2049, 693, 519, 1376, 610, 1439, 540, 519, 1032, 607, 3617, 267, 711, 538, 519, 1647, 610, 2429, 519, 1032, 269, 3040, 2353, 3928, 543, 6666, 8928, 616, 1483, 269, 634, 10637, 2557, 568, 476, 273, 260, 17328, 269, 3040, 2353, 3928, 616, 2016, 607, 2500, 5993, 3928, 269, 3040, 634, 476, 2004, 260, 3854, 12374, 3454, 10958, 568, 711, 2139, 2094, 519, 1788, 568, 17298, 676, 513, 6109, 267, 711, 606, 1367, 269, 1548, 568, 519, 2121, 1459, 1871, 630, 301, 11901, 264, 540, 519, 1788, 286, 10025, 519, 1739, 1870, 1788, 547, 5478, 513, 1007, 1587, 269, 476, 5741, 4578, 5741, 1272, 476, 273, 586, 3464, 19461, 5092, 538, 3937, 259, 277, 332, 3493, 21090, 540, 3937, 829, 1032, 1269, 274, 332, 1401, 4624, 9042, 3902, 540, 3937, 693, 1439, 540, 1788, 259, 271, 269, 277, 332, 5149, 6455, 829, 1032, 476, 275, 332, 22312, 3902, 829, 1770, 1269, 279, 24438, 1942, 829, 1770, 259, 276, 674, 12089, 3790, 829, 1032, 267, 6976, 693, 519, 1439, 540, 1142, 1032, 1269, 272, 332, 9314, 13258, 829, 1032, 476, 271, 12525, 2557, 476, 1789, 260, 13379, 539, 3328, 1942, 540, 3854, 1310, 3454, 829, 3045, 636, 476, 1015, 260, 11872, 476, 272, 269, 634, 6109, 781, 1699, 7221, 543, 1699, 20824, 616, 259, 274, 332, 543, 1269, 273, 332, 6606, 1318, 1631, 269, 901, 2121, 2324, 3854, 786, 711, 581, 1031, 538, 713, 1788, 267, 621, 786, 581, 1031, 538, 824, 20775, 3785, 269, 9603, 547, 519, 1788, 267, 1699, 7221, 630, 2865, 569, 11891, 264, 786, 1332, 676, 259, 273, 332, 7620, 630, 520, 512, 815, 476, 271, 1070, 543, 1287, 676, 1269, 271, 269, 273, 332, 693, 519, 1439, 540, 519, 1101, 1032, 630, 339, 284, 272, 1040, 7351, 20824, 630, 2865, 569, 4123, 5491, 832, 264, 786, 2333, 676, 259, 271, 269, 272, 332, 693, 519, 1439, 540, 519, 1101, 1032, 630, 339, 284, 272, 1916, 4263, 519, 1439, 540, 519, 1788, 267, 519, 2121, 2324, 3854, 19017, 1813, 547, 519, 1788, 666, 581, 4421, 585, 519, 1482, 3902, 602, 621, 729, 11751, 563, 273, 269, 634, 1788, 1942, 1269, 271, 269, 276, 332, 547, 1382, 799, 729, 30309, 835, 1032, 3516, 269, 2667, 636, 6877, 3040, 2353, 6666, 8928, 2049, 693, 519, 1376, 610, 1439, 540, 519, 1032, 607, 3617, 267, 711, 538, 519, 1647, 610, 2429, 519, 1032, 269, 3040, 2353, 3928, 543, 6666, 8928, 616, 1483, 269, 634, 10637, 2557, 568, 476, 274, 260, 17328, 269, 3040, 2353, 3928, 616, 2016, 607, 2500, 5993, 3928, 269, 3040, 634, 1870, 6236, 519, 1788, 568, 2196, 607, 513, 1412, 18030, 18318, 1222, 262, 630, 14725, 676, 606, 1367, 1510, 513, 2754, 264, 543, 568, 4061, 14718, 585, 513, 476, 2004, 260, 3854, 12374, 3454, 10958, 950, 519, 3937, 568, 4421, 267, 607, 15868, 676, 519, 8241, 12525, 8433, 269, 1548, 568, 519, 4397, 2121, 1459, 1871, 630, 301, 11901, 264, 540, 519, 1788, 286, 589, 1007, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519, 1655, 942, 547, 5173, 519, 12363, 1871, 286, 1323, 2025, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519, 1655, 942, 547, 5173, 519, 12363, 1871, 286, 589, 1007, 2754, 781, 674, 3305, 5131, 22418, 10046, 630, 13697, 20003, 267, 1482, 607, 18435, 11902, 264, 568, 9472, 538, 519, 3113, 2630, 269, 1677, 1871, 519, 6109, 781, 7221, 267, 519, 12363, 1871, 2115, 547, 581, 7229, 1210, 519, 10419, 8462, 609, 2208, 4542, 281, 3230, 309, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 268, 272, 348, 815, 1422, 13320, 346, 13697, 20003, 18155, 3667, 346, 3410, 1400, 267, 7684, 339, 12453, 337, 3766, 6525, 6904, 1448, 14687, 547, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 8869, 6926, 778, 543, 17354, 994, 273, 269, 3794, 7174, 454, 274, 269, 6196, 28734, 610, 9660, 454, 275, 269, 22458, 24056, 454, 276, 269, 589, 512, 842, 11453, 454, 277, 269, 21311, 1698, 454, 278, 269, 12213, 30690, 454, 279, 269, 31947, 31576, 5622, 630, 1721, 4509, 3159, 994, 280, 269, 29139, 518, 630, 604, 2838, 2020, 3721, 476, 272, 281, 8178, 2659, 22458, 16448, 454, 6524, 4358, 519, 7004, 267, 2708, 519, 1072, 540, 707, 4552, 269, 1403, 707, 4552, 568, 8697, 267, 28221, 267, 610, 22350, 9268, 267, 2015, 7996, 2394, 621, 973, 13569, 1354, 23312, 269, 28563, 2286, 18604, 4552, 949, 1291, 547, 7050, 2736, 720, 780, 3721, 476, 273, 281, 7994, 519, 9406, 1744, 1228, 540, 2349, 27475, 454, 13356, 728, 593, 519, 3169, 12094, 540, 1025, 27475, 596, 7287, 269, 5901, 538, 2247, 602, 2469, 5393, 1769, 1318, 2476, 1223, 2014, 4049, 3441, 269, 5502, 267, 1904, 585, 513, 14402, 12094, 982, 707, 3804, 543, 24482, 12740, 519, 2681, 936, 1896, 7886, 780, 3721, 476, 274, 281, 18430, 513, 853, 8681, 4530, 454, 8110, 845, 513, 18843, 1449, 547, 7447, 875, 707, 4552, 20781, 547, 519, 6074, 6926, 778, 269, 17186, 513, 1507, 2179, 540, 6926, 778, 8869, 543, 17354, 607, 829, 10189, 8846, 269, 15233, 621, 547, 513, 6456, 3296, 540, 707, 4552, 543, 4734, 621, 585, 519, 5227, 942, 269, 681, 20600, 1055, 543, 2638, 519, 1267, 269, 1403, 13854, 267, 8399, 282, 6382, 267, 4188, 519, 3384, 942, 610, 2119, 1776, 6216, 540, 6926, 778, 780, 3721, 476, 275, 281, 16259, 2659, 3718, 10628, 454, 290, 1478, 7252, 609, 2025, 28734, 610, 14786, 547, 2061, 28969, 269, 10925, 593, 2025, 7802, 547, 2057, 8297, 1456, 1434, 3283, 269, 5620, 782, 7727, 1369, 2653, 3914, 780, 3721, 476, 276, 281, 8791, 2659, 22458, 454, 19667, 728, 707, 3819, 267, 7938, 14414, 4552, 883, 2185, 6810, 1210, 4552, 24056, 910, 1079, 693, 519, 1283, 543, 1079, 693, 519, 5377, 269, 901, 2306, 3498, 4443, 543, 811, 7833, 780, 3721, 476, 277, 281, 17186, 519, 28563, 778, 454, 23382, 710, 519, 6926, 778, 8869, 543, 17354, 2687, 547, 519, 10672, 781, 5528, 269, 15380, 267, 596, 3575, 3160, 2694, 540, 1142, 269, 853, 597, 1134, 2394, 5347, 543, 27598, 780, 3721, 476, 278, 281, 15233, 519, 28563, 778, 454, 9359, 7311, 519, 7848, 4098, 693, 519, 7475, 267, 1287, 960, 909, 2509, 519, 5072, 269, 634, 5072, 1769, 523, 5488, 1317, 789, 616, 6251, 547, 519, 21435, 799, 12958, 3002, 269, 2422, 513, 512, 842, 11453, 585, 8856, 269, 4495, 4294, 267, 5612, 2322, 593, 513, 5068, 1698, 547, 1832, 519, 6926, 778, 5848, 780, 3721, 476, 279, 281, 18554, 4886, 5384, 454, 16605, 513, 2673, 3750, 593, 519, 1646, 942, 269, 13583, 20445, 2356, 2303, 2053, 1759, 593, 4358, 4552, 2681, 543, 5551, 1439, 2164, 269, 8550, 9765, 891, 7840, 547, 7413, 3441, 780, 3721, 476, 280, 281, 681, 20600, 4934, 519, 28563, 778, 454, 305, 710, 569, 712, 4552, 8499, 896, 4881, 1216, 2394, 1100, 15244, 540, 6926, 778, 2611, 269, 7427, 609, 513, 2620, 14555, 2126, 547, 11177, 7509, 4503, 1282, 6926, 2286, 780, 3721, 476, 1015, 281, 21414, 519, 28088, 454, 13425, 2436, 596, 4312, 6913, 707, 6098, 1025, 27475, 12094, 269, 1403, 711, 267, 7227, 513, 1906, 2395, 547, 1450, 707, 4552, 547, 9156, 1354, 18110, 519, 1184, 269, 5457, 267, 2789, 7886, 6556, 1732, 2164, 1510, 4929, 1932, 1454, 2800, 547, 707, 4552, 780, 3721, 476, 1556, 281, 570, 821, 2659, 22458, 630, 2252, 3026, 10354, 994, 2252, 707, 4552, 814, 10538, 610, 5835, 896, 2023, 525, 1310, 6926, 2286, 267, 946, 513, 9522, 518, 547, 9243, 1125, 873, 269, 27619, 513, 9522, 518, 5078, 585, 707, 1808, 9333, 821, 3390, 543, 1246, 519, 3177, 5528, 780, 3721, 476, 1321, 281, 19321, 2659, 7822, 454, 8196, 13711, 31576, 5622, 2899, 513, 3018, 547, 2226, 707, 1007, 1025, 27475, 27280, 676, 25559, 532, 21567, 1465, 269, 2558, 574, 5781, 547, 4894, 8237, 7475, 543, 3895, 2635, 2208, 269, 8617, 2620, 14555, 5574, 849, 948, 1832, 707, 11954, 4552, 3168, 7524, 543, 4743, 2571, 563, 22322, 6962, 912, 9558, 819, 532, 689, 4158, 6960, 547, 1025, 27475, 3884, 1405, 513, 835, 9912, 5650, 269, 4793, 1466, 267, 1416, 267, 543, 13657, 616, 1898, 2429, 519, 3003, 1184, 269, 11408, 6432, 547, 707, 4552, 781, 2115, 543, 3343, 3318, 6351, 950, 18516, 269, 8414, 13321, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 7476, 2349, 27475, 22458, 689, 14730, 9466, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 6637, 476, 277, 281, 634, 24090, 995, 2622, 540, 12518, 910, 589, 6733, 18738, 29550, 262, 5530, 540, 7233, 5020, 692, 5970, 596, 2479, 9289, 875, 2371, 1404, 971, 513, 5458, 1909, 538, 938, 2729, 286, 3245, 3246, 721, 609, 5135, 267, 1426, 267, 543, 12062, 267, 891, 3039, 2713, 1919, 616, 5963, 5863, 256, 1306, 596, 1332, 4587, 267, 596, 1522, 1616, 547, 1451, 811, 827, 873, 543, 6148, 1256, 1353, 873, 538, 2852, 835, 1554, 269, 2913, 781, 1491, 513, 1413, 693, 1018, 621, 1131, 581, 899, 547, 2263, 2030, 1272, 538, 513, 4583, 3703, 6280, 1107, 519, 2160, 540, 27257, 780, 5575, 267, 1577, 781, 1205, 547, 917, 519, 2160, 540, 27257, 1732, 269, 901, 6909, 1747, 729, 3964, 936, 513, 4627, 1296, 3516, 267, 538, 476, 5002, 271, 256, 4595, 1287, 267, 621, 814, 1831, 1634, 5001, 585, 922, 1164, 4081, 4441, 543, 5969, 12967, 1382, 6703, 269, 5994, 10647, 6901, 538, 22475, 1141, 1007, 8906, 827, 2371, 616, 1500, 1169, 1554, 256, 1215, 3579, 1131, 602, 581, 2496, 3719, 1354, 596, 3640, 707, 11435, 543, 4019, 267, 972, 781, 1945, 1572, 606, 1412, 23100, 766, 2557, 262, 602, 596, 991, 547, 1174, 269, 1323, 10343, 2557, 6645, 596, 875, 1082, 1053, 666, 6443, 519, 6280, 856, 540, 782, 1346, 945, 4294, 269, 1280, 3236, 267, 952, 519, 2160, 540, 27257, 24693, 476, 4335, 1053, 543, 476, 1911, 271, 1053, 723, 4294, 267, 1287, 922, 10343, 2557, 1131, 581, 476, 2004, 10065, 18833, 519, 10343, 2557, 786, 948, 596, 1305, 10853, 3853, 950, 4058, 585, 707, 2090, 1310, 1647, 1153, 780, 3086, 267, 1946, 1281, 4974, 2371, 2339, 865, 1454, 286, 4270, 267, 1589, 827, 3388, 789, 798, 585, 721, 256, 1358, 3132, 5810, 267, 5613, 267, 543, 5388, 602, 649, 2648, 547, 3548, 282, 789, 1711, 9249, 585, 2831, 2462, 543, 1507, 282, 543, 1034, 11932, 267, 789, 1683, 721, 609, 2973, 2011, 547, 13236, 269, 1635, 1565, 827, 2371, 538, 1469, 267, 3744, 666, 1020, 2081, 547, 2149, 873, 543, 946, 741, 2189, 7907, 547, 2087, 1480, 1272, 780, 5331, 1373, 851, 540, 513, 2319, 602, 25395, 513, 1007, 1826, 540, 7693, 602, 666, 3049, 6634, 540, 1004, 610, 4466, 513, 1259, 547, 10244, 1648, 2047, 689, 15591, 256, 1452, 616, 1175, 930, 540, 519, 7399, 7996, 585, 596, 538, 519, 2361, 540, 7762, 1415, 630, 1492, 3621, 1353, 540, 2371, 264, 543, 32443, 1729, 613, 2762, 630, 1492, 1353, 540, 2030, 3892, 6393, 4263, 519, 2160, 540, 27257, 267, 596, 1223, 4685, 2620, 883, 5396, 899, 891, 1247, 11981, 2875, 1272, 269, 1411, 949, 2307, 267, 968, 1692, 666, 594, 5965, 8885, 1631, 547, 11654, 1250, 6612, 585, 2371, 2663, 9495, 4279, 2243, 256, 3399, 676, 11287, 1114, 2010, 540, 2371, 1472, 596, 24568, 707, 8378, 267, 11614, 267, 610, 10651, 269, 8347, 3395, 707, 1378, 2371, 693, 1753, 267, 1932, 256, 16680, 707, 7422, 543, 2055, 538, 513, 4760, 267, 1175, 607, 1483, 3744, 798, 780, 2026, 585, 11836, 519, 2160, 540, 27257, 610, 1022, 824, 6280, 267, 3314, 547, 960, 2182, 2429, 1647, 543, 1164, 1153, 1317, 1434, 9344, 543, 4101, 6030, 1397, 9945, 602, 596, 2811, 13730, 543, 4712, 547, 14133, 538, 707, 6074, 2361, 269, 1656, 1810, 1405, 7340, 827, 29599, 2238, 267, 2523, 3283, 5059, 593, 2825, 15731, 610, 2146, 3028, 3785, 1644, 547, 2371, 269, 2353, 891, 2833, 786, 2285, 596, 3407, 1983, 543, 2984, 547, 2671, 1282, 707, 3498, 1184, 780, 3383, 267, 5326, 2462, 267, 1832, 3695, 519, 8748, 1158, 540, 2371, 267, 543, 3251, 8049, 256, 5808, 6487, 1018, 4241, 11580, 827, 2470, 596, 3513, 12260, 2059, 519, 1259, 286, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1103, 707, 1391, 585, 2362, 2069, 267, 1620, 519, 2160, 540, 27257, 20504, 766, 15580, 585, 476, 1708, 275, 568, 606, 1271, 1101, 1900, 269, 769, 713, 2376, 267, 649, 3580, 711, 1152, 10625, 519, 10343, 2557, 855, 849, 8774, 1769, 593, 12375, 267, 31213, 267, 543, 519, 16075, 1184, 693, 713, 20380, 9872, 563, 1103, 519, 2295, 540, 27257, 267, 4789, 267, 6763, 519, 2160, 540, 27257, 267, 513, 581, 13154, 540, 4081, 17284, 543, 5647, 269, 2060, 922, 3638, 1686, 6580, 1394, 547, 476, 5002, 271, 267, 519, 6280, 814, 9846, 1044, 6444, 585, 922, 11826, 4081, 4441, 267, 1158, 11665, 1382, 6703, 267, 543, 7524, 2875, 1272, 563, 15371, 596, 2461, 606, 14971, 16159, 11235, 547, 979, 883, 519, 17909, 540, 1702, 610, 513, 27503, 3318, 5275, 547, 21592, 707, 4876, 267, 1620, 519, 2160, 540, 27257, 779, 10343, 2557, 267, 12375, 267, 20823, 267, 543, 16075, 4170, 568, 1271, 585, 1818, 606, 5483, 3375, 827, 707, 4081, 2104, 563, 10666, 2160, 540, 27257, 454, 17206, 540, 27257, 20504, 766, 15580, 454, 763, 2160, 540, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 5020, 7070, 1315, 15636, 1415, 1315, 24695, 1729, 613, 2762, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 9213, 267, 649, 786, 7832, 593, 606, 3078, 3460, 998, 942, 543, 2230, 547, 2263, 513, 4241, 24848, 516, 540, 5708, 910, 3140, 15832, 9089, 1305, 1282, 519, 11193, 1974, 609, 513, 19266, 622, 6249, 538, 519, 11335, 3148, 269, 16258, 523, 707, 10160, 10964, 1206, 267, 10544, 707, 5172, 844, 650, 267, 13504, 6202, 267, 543, 533, 1105, 618, 267, 543, 1205, 4712, 547, 4685, 883, 513, 1158, 2407, 540, 7045, 267, 6612, 267, 543, 26675, 2439, 5331, 3054, 2713, 7366, 540, 1296, 3516, 950, 15999, 9635, 12199, 519, 15798, 267, 12703, 17701, 4362, 1007, 3338, 267, 543, 1566, 12040, 5493, 2167, 16079, 539, 609, 26866, 619, 540, 6264, 11084, 543, 11509, 15413, 3547, 269, 634, 11193, 729, 606, 5736, 6825, 676, 7499, 32193, 267, 3621, 8906, 267, 543, 2797, 1379, 9620, 269, 27933, 560, 782, 891, 2621, 267, 1004, 1869, 8593, 7184, 538, 2648, 267, 4810, 7920, 4664, 267, 543, 5185, 2352, 5079, 269, 3807, 899, 721, 2221, 2439, 3086, 267, 4605, 938, 12325, 543, 5869, 1149, 22892, 2066, 519, 31394, 7297, 540, 519, 11335, 7256, 20829, 23836, 575, 4150, 976, 267, 32626, 30217, 748, 15420, 267, 546, 617, 3101, 678, 3578, 1652, 4357, 619, 267, 543, 3695, 16678, 16788, 4904, 609, 6456, 11580, 269, 16319, 13858, 267, 3085, 1405, 621, 286, 3767, 4952, 873, 4687, 13730, 32741, 9624, 971, 5906, 1394, 323, 28979, 269, 2334, 781, 1018, 19266, 622, 32741, 538, 519, 11335, 616, 782, 827, 2439, 4131, 803, 6338, 930, 2442, 4798, 1336, 1369, 891, 8941, 1384, 272, 269, 2878, 2690, 321, 5200, 11146, 5093, 5994, 1079, 18798, 688, 4979, 689, 21535, 532, 15626, 3885, 610, 5310, 835, 1373, 3808, 676, 10279, 1247, 519, 824, 1032, 985, 585, 5191, 269, 4256, 2648, 1522, 581, 535, 27547, 2390, 1813, 547, 6848, 6788, 610, 1920, 15180, 1845, 267, 2943, 741, 3768, 3539, 20174, 3788, 32344, 1996, 782, 12918, 780, 273, 269, 2878, 3849, 1203, 675, 693, 7256, 5093, 667, 9734, 30443, 802, 1472, 1169, 7944, 607, 938, 23233, 6330, 829, 559 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6432, 32348, 609, 606, 6364, 547, 1451, 563, 17829, 616, 676, 2484, 930, 540, 519, 23698, 7391, 547, 723, 1317, 789, 2154, 513, 1268, 547, 581, 7925, 543, 22973, 543, 6542, 602, 789, 723, 1434, 15752, 547, 1616, 547, 1174, 513, 1268, 540, 2681, 779, 5030, 2833, 563, 10190, 267, 835, 1590, 2253, 676, 1373, 10853, 827, 1141, 547, 1376, 593, 713, 3460, 267, 875, 547, 1832, 519, 6643, 3001, 4464, 1418, 1227, 267, 543, 875, 547, 968, 13765, 2987, 892, 547, 2327, 8994, 4606, 540, 18497, 3350, 267, 5385, 267, 543, 2208, 269, 10705, 267, 1004, 3100, 547, 5635, 741, 3460, 547, 1866, 2443, 855, 519, 4641, 568, 267, 1100, 835, 1268, 12034, 5198, 610, 10168, 998, 519, 1482, 6292, 540, 9782, 23469, 14485, 269, 898, 782, 5673, 593, 875, 513, 1268, 729, 6659, 610, 1018, 646, 949, 723, 1044, 6534, 547, 2663, 538, 1272, 610, 6148, 1256, 513, 15779, 2680, 602, 814, 2451, 6857, 12886, 610, 16398, 269, 898, 779, 782, 513, 27795, 540, 1565, 267, 543, 3025, 814, 547, 581, 6899, 609, 741, 1378, 26101, 4358, 1448, 563, 18455, 9237, 827, 4743, 26101, 666, 849, 581, 16779, 543, 267, 936, 942, 267, 786, 1450, 1004, 547, 723, 891, 13710, 7391, 1256, 952, 789, 1745, 13943, 7620, 269, 1306, 519, 8748, 543, 3735, 25288, 14068, 518, 717, 1231, 7921, 865, 28020, 7150, 267, 968, 11854, 752, 707, 2247, 267, 1256, 952, 707, 5639, 695, 1389, 1848, 2334, 5168, 267, 607, 7334, 543, 17559, 607, 621, 4667, 267, 568, 519, 9997, 7067, 649, 991, 547, 2253, 547, 1294, 1142, 824, 779, 16398, 543, 1265, 513, 1259, 547, 12115, 873, 267, 1927, 2443, 543, 602, 6238, 676, 6158, 563, 763, 942, 585, 602, 22672, 11238, 568, 1631, 267, 607, 621, 568, 16122, 602, 607, 513, 4182, 649, 1451, 547, 24905, 548, 519, 7496, 602, 28511, 513, 13842, 995, 543, 8954, 633, 1062, 540, 721, 268, 951, 639, 2389, 1335, 269, 4495, 513, 1268, 16976, 547, 3479, 547, 519, 3460, 540, 4550, 268, 2350, 1143, 267, 1352, 666, 1287, 2253, 519, 18216, 691, 545, 3460, 540, 2686, 21548, 267, 11093, 519, 1268, 267, 519, 1480, 267, 4009, 569, 693, 519, 4099, 543, 8220, 547, 782, 519, 8748, 4162, 602, 789, 3142, 267, 971, 607, 741, 5198, 267, 14940, 267, 2528, 267, 4008, 267, 4984, 543, 4638, 10066, 269, 769, 713, 2230, 267, 835, 666, 2253, 547, 4309, 543, 8956, 513, 3099, 540, 5380, 267, 799, 5555, 5012, 547, 4466, 3152, 4313, 538, 519, 26101, 1533, 540, 4358, 267, 2502, 538, 543, 1256, 2921, 513, 4514, 4685, 883, 19929, 1472, 811, 11786, 3584, 267, 971, 607, 3043, 6526, 1006, 610, 1256, 17979, 269, 898, 568, 827, 2981, 1049, 1689, 543, 267, 899, 3388, 3116, 538, 1272, 602, 568, 4502, 2348, 267, 621, 3217, 942, 543, 4674, 543, 3340, 513, 3152, 1377, 540, 9837, 1275, 543, 7029, 563, 1607, 568, 519, 1665, 602, 930, 3549, 4413, 950, 16042, 16692, 296, 960, 282, 789, 7340, 602, 16692, 296, 960, 568, 2295, 543, 9997, 960, 543, 3340, 513, 1279, 268, 543, 2110, 3856, 4640, 602, 9727, 1312, 9837, 543, 7029, 538, 1507, 267, 15889, 2081, 855, 849, 538, 2462, 267, 3087, 894, 2081, 269, 23875, 1058, 581, 968, 4752, 519, 3349, 892, 952, 2944, 22992, 543, 6461, 1227, 609, 9837, 1275, 269, 1160, 5562, 29621, 568, 1018, 3549, 1058, 11441, 585, 3232, 267, 1141, 741, 9837, 568, 6027, 676, 875, 789, 3442, 547, 24244, 519, 9739, 267, 2833, 543, 5380, 540, 12790, 1004, 267, 2516, 543, 1256, 19237, 563, 2005, 779, 942, 547, 1265, 4313, 538, 519, 26101, 1145, 1317, 519, 16563, 568, 9960, 22293, 2443, 543, 602, 22293, 899, 513, 3644, 568, 10825, 267, 4929, 14784, 267, 23998, 543, 6498, 563, 13825, 13860, 595, 269, 632, 685, 4537, 599, 568, 519, 10324, 8689, 540, 16844, 15557, 19137, 269, 634, 13423, 727, 540, 513, 7519, 528, 945, 2966, 606, 18532, 1272, 4904, 609, 1967, 593, 1200, 2474, 267, 632, 685, 4537, 599, 568, 513, 1689, 8665, 945, 2451, 513, 9746, 4876, 540, 811, 982, 476, 1428, 1296, 547, 1376, 1200, 1378, 7802, 6003, 543, 4196, 1200, 2146, 563, 5649, 519, 824, 4930, 602, 616, 851, 540, 713, 968, 291, 1751, 267, 24054, 543, 29621, 281, 634, 5384, 1772, 3767, 892, 3382, 1650, 269, 0, 1103, 513, 1007, 1353, 267, 3173, 1336, 2021, 4171, 11326, 4043, 547, 3049, 6553, 949, 723, 513, 2362, 1981, 540, 6089, 2860, 563, 5445, 7318, 811, 982, 476, 12573, 267, 1822, 2021, 543, 1336, 602, 519, 811, 968, 2889, 13611, 892, 3536, 2021, 10057, 519, 2362, 741, 6089, 2860, 1981, 563, 763, 2165, 4016, 547, 3536, 2219, 547, 3565, 547, 5312, 1970, 17263, 6553, 2429, 519, 1560, 12544, 1533, 26582, 538, 1585, 2068, 3157, 563, 763, 4681, 1039, 547, 2963, 602, 2732, 666, 1860, 519, 10171, 540, 3384, 6089, 2860, 563, 291, 2884, 6208, 723, 1044, 5532, 547, 519, 1981, 540, 3875, 11871, 267, 6089, 2860, 1851, 873, 563, 1103, 519, 1353, 267, 519, 2319, 5059, 593, 513, 605, 13611, 2732, 267, 799, 568, 1164, 538, 2699, 543, 9268, 16469, 267, 4006, 543, 15459, 9600, 563, 5445, 1031, 1239, 689, 513, 1279, 8573, 7342, 1382, 1788, 593, 2732, 543, 2860, 1981, 1851, 3864, 4079, 269, 1358, 5059, 593, 811, 982, 476, 28760, 267, 1822, 2021, 945, 941, 1863, 540, 6089, 2860, 693, 519, 856, 3553, 563, 763, 3173, 8655, 1142, 4807, 513, 6060, 12773, 519, 968, 514, 11987, 1761, 892, 540, 1200, 2732, 267, 1759, 593, 519, 5567, 543, 824, 7135, 538, 519, 3536, 1352, 4080, 4189, 563, 7021, 827, 476, 1428, 1296, 267, 811, 982, 476, 1724, 267, 1220, 2021, 941, 8995, 609, 6089, 2860, 269, 2334, 1981, 729, 476, 1321, 260, 2362, 1851, 519, 835, 1922, 604, 628, 540, 2021, 609, 519, 1034, 12982, 11326, 267, 8957, 519, 835, 1922, 604, 628, 4189, 519, 1906, 652, 605, 13611, 3536, 563, 763, 3095, 729, 6793, 1851, 2021, 945, 2919, 2860, 1354, 22797, 267, 2864, 982, 1310, 563, 288, 605, 13611, 2732, 949, 3565, 547, 6089, 2860, 1317, 621, 8992, 6553, 267, 543, 849, 1317, 621, 779, 15877, 538, 3536, 602, 4339, 6553, 563, 17829, 3536, 1331, 5388, 267, 5613, 267, 10365, 267, 6775, 11656, 9274, 543, 968, 16591, 892, 5667, 18260, 9600, 563, 763, 4681, 616, 538, 1899, 609, 2963, 602, 8192, 3270, 3638, 538, 2030, 3536, 543, 2539, 538, 3662, 2472, 543, 15568, 11950, 616, 2404, 609, 513, 2539, 1981, 540, 6089, 2860, 563, 2252, 596, 1416, 827, 6089, 2860, 267, 5225, 1224, 2090, 827, 713, 3987, 3075, 949, 948, 1521, 10728, 6089, 2860, 543, 4681, 540, 3257, 713, 666, 2333, 2669, 1981, 538, 6089, 2860, 563, 2690, 811, 1344, 827, 6089, 2860, 543, 707, 1072, 267, 5225, 1294, 2487, 2090, 827, 713, 1455, 20892, 949, 2333, 2669, 1981, 538, 6089, 2860, 543, 2164, 6029, 602, 4922, 1031, 1973, 2604, 5061, 949, 2333, 2669, 1981, 538, 6089, 2860, 563, 763, 1353, 729, 4843, 693, 519, 5993, 5870, 540, 519, 1977, 5980, 585, 12594, 269, 2290, 2278, 540, 519, 1353, 568, 14161, 7974, 10011, 549, 7232, 4944, 514, 563, 15648, 9736, 476, 1708, 272, 5700, 16466, 3163, 7797, 269, 2353, 2924, 11603, 269, 0, 1607, 1362, 568, 1100, 3476, 2139, 267, 855, 649, 1336, 1945, 2147, 2336, 276, 269, 271, 630, 276, 264, 5788, 12698, 476, 279, 268, 1556, 454, 13043, 10632, 543, 4317, 11833, 585, 476, 274, 6113, 1299, 476, 275, 628, 27240, 619, 454, 276, 269, 271, 630, 10695, 264, 5788, 12698, 476, 278, 268, 280, 454, 289, 5090, 3101, 4569, 10341, 3245, 476, 273, 526, 547, 476, 274, 6113, 6103, 454, 276, 269, 271, 630, 7597, 264, 5788, 12698, 476, 280, 268, 1321, 454, 21430, 4569, 5269, 23281, 9462, 498, 351, 6930, 356, 510, 454, 276, 269, 271, 630, 279, 264, 5788, 12698, 476, 277, 268, 279, 454, 13043, 5025, 5336, 16492, 11833, 630, 277, 268, 279, 5729, 6196, 338, 2567, 7089, 23281, 543, 4569, 12700, 454, 276, 269, 271, 630, 2764, 264, 5788, 12698, 476, 277, 268, 280, 454, 300, 26663, 4569, 10632, 11833, 2336, 276, 269, 271, 630, 10436, 264, 5788, 12698, 476, 279, 268, 1015, 454, 289, 5090, 3101, 4569, 10341, 3245, 476, 274, 6113, 6103, 20553, 476, 275, 628, 6103, 454, 25911, 3496, 2920, 281, 589, 4569, 16709, 454, 25911, 766, 10253, 616, 513, 3730, 1259, 547, 2203, 12408, 543, 15821, 4834, 269, 1284, 786, 1451, 519, 9238, 543, 1287, 2322, 938, 5876, 547, 519, 1449, 267, 16116, 909, 930, 8870, 12980, 2259, 2059, 519, 1259, 563, 9617, 514, 28469, 1512, 267, 1912, 6185, 563, 278, 2698, 8039, 585, 713, 4116, 454, 272, 2689, 585, 713, 1362, 454, 4467, 921, 1540, 676, 476, 274, 6267, 454, 2467, 616, 1100, 14232, 5049, 563, 3598, 2996, 829, 1362, 454, 1692, 1281, 513, 834, 3080, 6874, 830, 257, 1362, 960, 888, 9288, 1115, 2899, 693, 513, 16516, 942, 454, 299, 633, 3381, 10004, 267, 6592, 543, 16913, 585, 3106, 543, 2298, 454, 15124, 585, 3695, 1007, 4690, 543, 1114, 6163, 540, 3610, 454, 1692, 4934, 25217, 3718, 454, 2467, 616, 1100, 1930, 9634, 585, 713, 1362, 563, 2791, 666, 7662, 1776, 942, 610, 20801, 1524, 547, 1265, 811, 5049, 899, 713, 563, 1607, 568, 513, 2979, 3408, 267, 865, 1034, 540, 519, 2875, 1565, 786, 4755, 607, 789, 1865, 543, 512, 28310, 609, 513, 5311, 540, 3638, 2979, 13410, 543, 2591, 269, 634, 1292, 3853, 540, 713, 1576, 616, 547, 1628, 8465, 12980, 3206, 585, 1053, 543, 547, 5000, 15821, 6208, 540, 2247, 269, 898, 781, 849, 606, 4367, 547, 4244, 1297, 1949, 630, 3697, 9352, 1070, 607, 1134, 607, 606, 11791, 543, 3860, 2979, 1995, 256, 2991, 31047, 543, 930, 3636, 5346, 12980, 5751, 267, 594, 3513, 6338, 3666, 4336, 2483, 2467, 616, 1082, 6310, 2035, 602, 949, 2097, 909, 607, 649, 960, 593, 519, 1966, 267, 4470, 593, 519, 1806, 1053, 2097, 909, 609, 543, 741, 1991, 1702, 269, 2368, 2035, 1331, 281, 1840, 543, 12408, 540, 9981, 267, 8465, 12980, 3206, 267, 14595, 13279, 630, 3697, 9352, 543, 512, 1716, 776, 1070, 1818, 606, 6896, 1592, 267, 543, 1966, 6061, 2994, 563, 296, 6026, 918, 268, 1321, 2979, 585, 4557, 1296, 267, 538, 1312, 4928, 543, 23918, 5468, 269, 3973, 936, 519, 2250, 2947, 1296, 267, 594, 4312, 6192, 1250, 12854, 538, 2979, 267, 1141, 1250, 1382, 568, 538, 9511, 543, 23289, 269, 18964, 6310, 7279, 543, 4543, 1004, 547, 723, 2318, 2979, 2833, 616, 1250, 18653, 563, 5278, 10137, 2042, 786, 581, 6035, 693, 519, 1439, 540, 1362, 607, 1491, 25498, 563, 272, 3758, 2139, 2390, 27350, 10743, 786, 991, 513, 1603, 24881, 559, 267, 543, 972, 568, 513, 4015, 540, 3211, 547, 4647, 543, 1820, 1354, 1362, 563, 7075, 2996, 786, 711, 991, 547, 946, 1022, 8924, 610, 7270, 3564, 519, 3044, 4934, 25217, 2645, 563, 2004, 3764, 829, 3018, 538, 1362, 267, 543, 6148, 930, 942, 3544, 540, 1362, 563, 9617, 514, 28469, 1512, 267, 1912, 6185, 2529, 327, 2130, 2318, 543, 3860, 2979, 2833, 454, 278, 2698, 8039, 454, 279, 6192, 5049, 454, 17098, 256, 594, 4001, 2979, 5049, 593, 4934, 25217, 269, 3733, 3804, 568, 547, 2671, 2318, 543, 3860, 2979, 2833, 609, 1053, 269, 3733, 5049, 616, 513, 1390, 3514, 585, 1053, 945, 2907, 2648, 2979, 543, 945, 1616, 811, 282, 585, 1053, 945, 723, 1185, 2942, 2833, 609, 1862, 0, 21914, 32363, 613, 639, 11542, 29691, 1010, 19289, 267, 575, 5074, 856, 693, 519, 4262, 269, 1261, 729, 2407, 540, 4250, 543, 4160, 269, 18320, 1454, 942, 1185, 5293, 2094, 1010, 5067, 1452, 639, 30774, 689, 18603, 547, 519, 6532, 540, 11511, 974, 269, 634, 23723, 2103, 1185, 6738, 13110, 540, 4758, 741, 14930, 543, 20766, 909, 607, 24744, 547, 519, 3687, 520, 712, 267, 513, 1395, 560, 9317, 3368, 25993, 267, 3368, 1532, 1638, 13442, 602, 5030, 538, 513, 2978, 31307, 540, 25310, 9944, 519, 31350, 534, 4622, 779, 19289, 269, 4858, 557, 1452, 639, 1185, 8067, 1229, 5128, 607, 513, 15093, 282, 646, 1131, 2119, 547, 14710, 519, 20599, 269, 1306, 646, 2695, 842, 539, 896, 519, 6505, 3141, 267, 32363, 613, 639, 4718, 513, 6928, 538, 519, 3845, 269, 1261, 2269, 1441, 1010, 4064, 547, 1294, 519, 2681, 540, 519, 521, 5661, 269, 1452, 639, 1185, 2451, 609, 3109, 521, 5661, 267, 9621, 602, 952, 646, 729, 4619, 16124, 267, 646, 1131, 1689, 873, 547, 3043, 521, 5661, 2390, 1010, 2132 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 15915, 543, 941, 9575, 12707, 335, 1563, 547, 4308, 609, 8185, 11439, 14082, 14255, 657, 20136, 568, 519, 2601, 585, 14082, 3355, 18454, 538, 10323, 5607, 855, 2899, 513, 30017, 1379, 267, 589, 576, 327, 267, 23652, 741, 6928, 1374, 267, 789, 4503, 741, 5413, 693, 4262, 543, 941, 7142, 883, 519, 17872, 563, 1607, 2038, 476, 1704, 628, 2540, 5373, 676, 2696, 514, 14833, 632, 661, 1042, 807, 20186, 519, 26362, 540, 5689, 3147, 320, 676, 589, 576, 327, 563, 2171, 666, 1294, 2947, 1507, 589, 576, 327, 575, 4150, 976, 16298, 909, 547, 4123, 3376, 338, 1938, 609, 513, 1804, 14082, 575, 4150, 517, 1247, 1776, 1079, 616, 20590, 741, 29523, 669, 553, 619, 630, 516, 541, 15963, 264, 693, 519, 1482, 14082, 6928, 563, 763, 589, 576, 327, 26010, 729, 967, 24934, 337, 3990, 538, 519, 16368, 781, 2511, 540, 17189, 13137, 799, 15091, 519, 1909, 540, 1804, 575, 4150, 903, 269, 717, 4150, 976, 941, 6854, 1507, 543, 2016, 6281, 5107, 269, 717, 4150, 976, 3710, 676, 589, 576, 327, 2760, 8604, 547, 9765, 476, 1220, 9748, 7868, 7887, 7523, 2917, 4061, 814, 2141, 1044, 519, 17514, 1222, 540, 519, 589, 576, 327, 26010, 563, 7712, 30017, 795, 29330, 941, 1219, 523, 1088, 612, 1996, 14082, 14255, 657, 267, 16269, 30403, 547, 581, 3710, 538, 2038, 476, 1626, 628, 2540, 269, 14570, 941, 7142, 547, 1628, 4130, 543, 5488, 9635, 269, 8307, 589, 576, 327, 7307, 547, 5299, 3864, 6272, 1813, 547, 741, 2673, 13218, 609, 519, 16368, 7276, 563, 3528, 519, 476, 1704, 628, 2540, 267, 811, 30017, 7060, 9715, 519, 1702, 547, 1628, 3864, 2511, 9635, 7868, 1283, 512, 1512, 30017, 9467, 7060, 941, 589, 576, 327, 32390, 656, 523, 267, 21595, 10603, 836, 543, 25120, 817, 541, 269, 4322, 25267, 2968, 5393, 14547, 676, 14723, 543, 24996, 9467, 602, 789, 941, 581, 325, 686, 2105, 676, 3864, 7060, 971, 607, 4789, 267, 293, 8896, 267, 291, 523, 5658, 32586, 16368, 7276, 543, 1256, 17577, 263, 514, 25120, 817, 541, 1040, 4322, 3864, 7060, 949, 723, 3838, 930, 2930, 1702, 609, 741, 30017, 16167, 538, 1931, 547, 4831, 519, 4222, 540, 519, 10656, 5101, 28851, 7577, 630, 309, 8016, 1916, 29557, 512, 1512, 30017, 7060, 899, 11835, 1817, 543, 808, 3711, 328, 1152, 1185, 535, 3419, 622, 1826, 9635, 1572, 1178, 2125, 630, 724, 528, 11274, 264, 607, 741, 7887, 10617, 4721, 269, 6097, 547, 519, 1433, 3778, 540, 11835, 1817, 676, 21614, 12736, 23264, 339, 267, 476, 1704, 628, 2540, 11835, 1817, 1185, 1063, 476, 1911, 268, 1220, 4559, 540, 1079, 543, 1614, 15958, 539, 1178, 2125, 563, 7712, 594, 666, 1405, 1265, 5961, 540, 30017, 1178, 2125, 267, 891, 533, 923, 540, 4095, 3283, 2285, 721, 930, 2856, 540, 1018, 789, 6743, 899, 20193, 568, 4502, 15663, 602, 12075, 1152, 3459, 2679, 1178, 2125, 538, 519, 476, 1240, 628, 2540, 269, 0, 7312, 1101, 4640, 1058, 581, 547, 1118, 2386, 707, 1126, 781, 4064, 616, 13761, 8499, 693, 2834, 4387, 11564, 267, 607, 4330, 1657, 269, 1403, 596, 2811, 711, 13854, 267, 2911, 609, 707, 1126, 781, 4387, 269, 1656, 952, 596, 2811, 1869, 711, 6126, 609, 519, 1377, 540, 1416, 267, 676, 782, 1797, 1205, 513, 2034, 6644, 689, 2576, 596, 3972, 267, 2436, 602, 781, 1776, 12963, 1014, 267, 606, 29555, 332, 6048, 267, 610, 606, 1904, 2210, 2077, 563, 302, 20953, 332, 5505, 616, 2564, 7189, 945, 723, 21783, 689, 2564, 1153, 543, 945, 20647, 538, 3750, 1416, 543, 3750, 6391, 269, 744, 20953, 332, 5505, 666, 13209, 543, 1521, 3750, 3676, 282, 798, 3750, 11400, 282, 21559, 6527, 267, 2363, 1122, 28904, 267, 543, 3346, 14485, 282, 543, 1685, 6391, 563, 303, 8824, 29555, 332, 5505, 723, 3606, 2866, 538, 10551, 543, 2564, 2126, 540, 3750, 2068, 538, 1453, 563, 18893, 2210, 28748, 616, 711, 2564, 7189, 855, 7189, 540, 1904, 5852, 267, 8036, 543, 13931, 547, 4983, 519, 4064, 543, 13209, 543, 1521, 5075, 2042, 609, 14296, 267, 17066, 267, 543, 3797, 269, 8838, 2210, 28748, 666, 849, 21559, 930, 6527, 563, 18893, 5974, 1118, 543, 7006, 1619, 14296, 543, 824, 9804, 3688, 269, 1358, 2811, 8036, 547, 6445, 519, 7828, 13310, 3177, 676, 519, 29555, 332, 6048, 610, 519, 1904, 2210, 2077, 267, 538, 1454, 519, 1482, 1259, 602, 14278, 1235, 6445, 4387, 781, 1095, 18587, 269, 0, 2704, 4022, 543, 1411, 454, 7804, 9722, 4568, 568, 513, 1455, 1514, 2534, 585, 1082, 2021, 269, 1717, 267, 649, 1810, 1405, 2141, 1589, 827, 519, 2009, 4220, 602, 949, 581, 2404, 609, 6704, 267, 6862, 1174, 602, 1346, 4220, 616, 1114, 585, 2367, 543, 585, 2021, 563, 2467, 616, 930, 3871, 950, 4568, 4616, 814, 2799, 4220, 269, 1703, 616, 513, 1297, 540, 4220, 547, 513, 3384, 4816, 952, 513, 4807, 10425, 4568, 950, 9176, 269, 2353, 10425, 609, 4568, 666, 581, 5739, 547, 513, 3384, 4816, 269, 15850, 568, 538, 14420, 267, 9174, 267, 2182, 4508, 528, 267, 3579, 619, 543, 524, 11107, 269, 1703, 568, 1100, 1634, 2922, 2179, 540, 4568, 267, 693, 1022, 3942, 540, 6379, 602, 786, 4625, 2061, 519, 1981, 540, 2348, 513, 1126, 609, 674, 13926, 15850, 25400, 13081, 630, 293, 32359, 1040, 0, 1607, 3296, 2488, 513, 2110, 6609, 540, 782, 519, 2101, 3615, 538, 519, 1433, 269, 901, 666, 581, 9102, 856, 607, 513, 1353, 3391, 585, 1053, 267, 1031, 607, 513, 834, 4486, 257, 585, 3056, 513, 1362, 4901, 267, 610, 596, 666, 7914, 547, 519, 7688, 10774, 727, 1740, 3296, 547, 1265, 3211, 602, 6451, 891, 11673, 883, 513, 3099, 540, 2243, 12043, 563, 295, 1961, 910, 634, 15669, 2729, 1934, 538, 1931, 547, 12404, 5128, 689, 519, 1964, 540, 519, 1158, 563, 8867, 1430, 16684, 13826, 910, 901, 1843, 568, 2016, 547, 519, 15669, 676, 519, 3043, 2367, 693, 519, 8630, 1310, 646, 814, 1044, 1208, 559, 7007, 609, 824, 3109, 8695, 563, 20112, 523, 4303, 910, 634, 15669, 568, 30461, 1317, 646, 3217, 6004, 269, 17368, 517, 1934, 563, 4131, 1562, 540, 24805, 566, 910, 1452, 616, 2016, 547, 519, 15669, 676, 3220, 269, 645, 1194, 810, 324, 543, 616, 711, 1018, 519, 5869, 14659, 789, 616, 563, 299, 756, 1068, 344, 10266, 1206, 910, 634, 5869, 814, 606, 8009, 1934, 799, 3338, 2483, 1607, 3296, 3568, 476, 4489, 1913, 2008, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 19324, 23569, 9435, 4400, 5937, 846, 15580, 630, 8461, 305, 264, 4858, 16408, 1492, 2805, 454, 9596, 2859, 6168, 10507, 23569, 9435, 4400, 5937, 846, 15580, 4858, 16408, 1492, 2805, 281, 13378, 609, 2974, 1923, 19478, 2974, 454, 11947, 5937, 846, 15580, 630, 8461, 305, 264, 4858, 16408, 1492, 2805, 585, 10507, 23569, 9435, 454, 4263, 9435, 9615, 15544, 540, 3013, 630, 6311, 7563, 1070, 649, 946, 1164, 1673, 846, 2557, 630, 8461, 305, 264, 2909, 16408, 1492, 2805, 547, 1683, 5730, 5982, 2126, 1247, 838, 2130, 4478, 2635, 8031, 563, 1607, 1826, 540, 4835, 5982, 3797, 2636, 585, 1164, 13066, 540, 5982, 547, 581, 5116, 538, 610, 1472, 1965, 23569, 2860, 547, 8308, 6861, 519, 29406, 2281, 269, 670, 11403, 2909, 16408, 1492, 2805, 2636, 707, 5982, 32346, 6048, 547, 17982, 1164, 13066, 540, 5982, 609, 8766, 4598, 547, 2635, 8031, 538, 519, 24647, 543, 7404, 7181, 563, 19284, 930, 2909, 16408, 1492, 2805, 2553, 267, 670, 11403, 2909, 16408, 1492, 2805, 3096, 10151, 26005, 5116, 538, 519, 1560, 998, 6094, 267, 17860, 25108, 1562, 269, 634, 17568, 540, 519, 25108, 1562, 568, 5393, 5730, 267, 4180, 519, 26005, 616, 5116, 5265, 269, 634, 26005, 616, 2451, 593, 610, 1472, 519, 10510, 547, 5838, 519, 2953, 2179, 540, 5982, 269, 1284, 946, 2780, 5583, 1949, 547, 1852, 875, 2484, 519, 26005, 979, 883, 519, 25108, 1562, 543, 875, 1279, 789, 3251, 538, 519, 25108, 1562, 269, 901, 1505, 540, 5982, 2126, 3091, 513, 18334, 267, 811, 2500, 1259, 547, 2285, 5982, 547, 2550, 945, 20618, 563, 11795, 22187, 24948, 568, 513, 1455, 2427, 1198, 540, 1965, 23569, 2860, 5982, 2126, 269, 589, 8023, 8546, 568, 1419, 17332, 1354, 5982, 2126, 4386, 267, 543, 606, 1965, 23569, 588, 550, 666, 581, 2322, 538, 1310, 2126, 547, 1832, 519, 24647, 1930, 563, 8461, 305, 2909, 16408, 1492, 2805, 666, 581, 1031, 607, 513, 23080, 14306, 2268, 585, 1965, 23569, 2860, 2550, 547, 3247, 610, 24390, 3742, 11702, 538, 519, 24647, 563, 20238, 2747, 3797, 666, 849, 581, 5916, 609, 18068, 547, 1521, 1965, 23569, 2860, 269, 634, 1576, 540, 2126, 5673, 593, 519, 3942, 543, 1826, 540, 1965, 23569, 2860, 563, 9202, 13445, 281, 594, 17307, 307, 585, 10507, 23569, 9435, 0, 1607, 14266, 7018, 538, 519, 2250, 269, 901, 3896, 568, 2139, 585, 21141, 5301, 1152, 563, 8698, 540, 21499, 689, 519, 5617, 1386, 699, 454, 303, 20557, 1063, 476, 11260, 280, 543, 476, 12293, 271, 267, 13852, 582, 1729, 781, 31858, 25271, 7348, 540, 21499, 689, 519, 5617, 1386, 699, 568, 519, 1034, 4583, 540, 1010, 24369, 10207, 540, 21499, 267, 5356, 513, 27789, 642, 16695, 540, 519, 2749, 269, 13852, 582, 1729, 3576, 1010, 2070, 689, 519, 16592, 5617, 1386, 699, 267, 851, 540, 513, 19289, 1950, 3710, 585, 13584, 26290, 2940, 540, 14205, 1195, 538, 519, 2038, 476, 15094, 271, 338, 630, 1492, 14692, 540, 922, 3655, 9809, 1228, 8813, 2066, 519, 32215, 1040, 3245, 1010, 642, 656, 720, 1448, 693, 519, 1283, 540, 519, 14629, 519, 7376, 729, 2111, 547, 9446, 609, 8984, 8856, 519, 9030, 18845, 540, 519, 3854, 267, 689, 519, 3573, 10651, 540, 519, 5617, 1386, 699, 538, 519, 32215, 547, 519, 15113, 540, 519, 21499, 18137, 538, 519, 2484, 3845, 269, 13852, 582, 1729, 1360, 2693, 6964, 513, 8254, 25848, 3120, 630, 534, 2038, 1106, 540, 2070, 1265, 518, 264, 547, 948, 7001, 519, 6429, 593, 1957, 269, 6736, 1010, 7805, 535, 23474, 547, 519, 1327, 1446, 267, 2705, 267, 646, 3576, 23118, 609, 519, 3135, 267, 735, 7675, 519, 2749, 781, 1544, 547, 13918, 1010, 5888, 269, 901, 4847, 1864, 547, 1331, 2484, 811, 540, 922, 6189, 982, 568, 2009, 538, 4641, 563, 19950, 539, 538, 1863, 17914, 286, 8437, 1934, 547, 1451, 811, 563, 5194, 4324, 267, 1818, 595, 658, 529, 865, 2442, 267, 568, 513, 7872, 547, 4444, 595, 658, 529, 2228, 10958, 563, 310, 1180, 1359, 875, 547, 4444, 524, 658, 529, 13598, 610, 524, 658, 529, 6216, 286, 16179, 595, 658, 529, 2228, 538, 938, 13931, 26849, 256, 0, 8702, 547, 1230, 20960, 17520, 543, 12870, 454, 21618, 2986, 12870, 1656, 17520, 9137, 454, 269, 1280, 513, 8628, 3095, 547, 713, 2376, 267, 610, 547, 1433, 5658, 621, 585, 2417, 2542, 267, 4945, 1934, 563, 2791, 949, 849, 6432, 547, 713, 2376, 676, 1210, 519, 1739, 8060, 563, 5825, 783, 10076, 13262, 12580, 543, 4039, 1314, 566, 9828, 5228, 281, 1230, 20960, 17520, 543, 12870, 454, 763, 2042, 1004, 1995, 609, 2566, 616, 1419, 5258, 883, 519, 2168, 543, 519, 2790, 269, 10076, 2566, 2589, 602, 1004, 949, 1995, 950, 789, 616, 7092, 689, 3768, 826, 2566, 949, 1331, 2589, 602, 1860, 1312, 519, 2623, 543, 519, 5042, 2694, 540, 741, 20369, 3832, 269, 2368, 540, 519, 2790, 2566, 2589, 602, 568, 4448, 609, 519, 5042, 851, 540, 513, 1268, 1331, 2042, 609, 3965, 12802, 267, 3668, 540, 1697, 10385, 267, 3586, 2258, 18356, 267, 1373, 513, 5855, 23702, 267, 967, 1815, 529, 4369, 543, 1256, 14221, 4555, 269, 634, 2790, 2566, 2589, 602, 4308, 609, 513, 1268, 781, 2623, 1331, 8401, 512, 923, 610, 6208, 899, 17970, 24146, 610, 9992, 4842, 533, 5217, 267, 27571, 2191, 602, 949, 1267, 538, 16116, 540, 24515, 543, 1818, 2300, 4926, 585, 711, 16462, 547, 11886, 13800, 563, 26045, 2566, 2589, 3006, 666, 581, 519, 2014, 540, 2168, 2566, 2589, 269, 6201, 540, 971, 2168, 2589, 602, 6565, 689, 891, 2790, 2566, 2589, 1331, 21385, 267, 14331, 610, 31264, 543, 1256, 2597, 2744, 610, 2597, 2530, 269, 1452, 2168, 2589, 949, 1267, 689, 2790, 2566, 2589, 1813, 547, 519, 2531, 3626, 1198, 269, 1403, 596, 616, 547, 5659, 1946, 513, 1268, 949, 2744, 2597, 610, 6336, 2597, 950, 14129, 267, 621, 568, 1419, 1813, 547, 519, 12012, 3206, 602, 1426, 666, 1683, 4313, 610, 602, 1426, 568, 711, 13267, 269, 901, 568, 851, 540, 519, 1592, 2790, 2566, 2589, 267, 3668, 540, 1697, 10385, 610, 519, 2530, 540 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 9566, 23182, 883, 519, 19730, 269, 1306, 513, 1259, 547, 1039, 513, 16560, 3693, 547, 519, 1283, 519, 540, 19730, 267, 543, 849, 948, 9395, 523, 909, 1250, 3514, 909, 609, 519, 16405, 267, 594, 1031, 513, 3440, 24406, 523, 17200, 547, 1039, 9403, 269, 4495, 713, 729, 3514, 909, 23182, 267, 594, 1031, 513, 669, 529, 601, 547, 2322, 513, 16560, 1899, 1472, 519, 1283, 6316, 540, 519, 24772, 563, 10111, 1324, 540, 519, 7435, 548, 454, 2690, 519, 6023, 1697, 594, 1031, 513, 4062, 540, 4779, 846, 1884, 2401, 269, 28611, 594, 1131, 946, 1164, 3432, 27414, 2645, 547, 798, 1250, 26002, 267, 855, 585, 713, 1788, 594, 1175, 1031, 669, 529, 1564, 543, 31163, 525, 269, 594, 9788, 856, 513, 7470, 865, 602, 519, 24516, 960, 1131, 581, 1256, 593, 1312, 5011, 563, 4263, 713, 1448, 594, 669, 529, 601, 539, 538, 1250, 7291, 543, 1287, 3459, 547, 1286, 557, 2476, 519, 4282, 269, 634, 1034, 1271, 3364, 538, 713, 621, 547, 723, 5743, 2952, 3989, 20898, 267, 713, 1373, 1767, 594, 2119, 547, 1832, 1434, 2182, 15174, 547, 5581, 1250, 5546, 563, 5629, 519, 26002, 568, 2944, 519, 1985, 1900, 568, 17656, 513, 8559, 543, 1210, 22696, 13827, 543, 6119, 547, 1118, 2386, 519, 8126, 786, 3514, 883, 519, 6023, 267, 543, 602, 519, 24772, 786, 3514, 23182, 609, 519, 6023, 563, 763, 1306, 5145, 1194, 1530, 1314, 454, 763, 3803, 1900, 568, 547, 27043, 6023, 5196, 519, 8126, 269, 1530, 1314, 8126, 338, 616, 2760, 1336, 609, 1022, 9475, 610, 711, 2583, 2759, 883, 873, 267, 713, 5012, 547, 519, 3932, 602, 789, 941, 782, 1350, 4240, 1927, 269, 769, 1974, 713, 1131, 723, 1044, 2944, 609, 12404, 15441, 267, 855, 2094, 594, 4769, 1406, 723, 12404, 15441, 267, 519, 1655, 4781, 729, 547, 946, 476, 276, 8792, 3134, 20293, 563, 1607, 1788, 11609, 547, 803, 519, 3646, 2877, 547, 1711, 513, 16405, 609, 13840, 4977, 2326, 269, 898, 729, 513, 1360, 4074, 14021, 1788, 267, 1256, 609, 519, 946, 540, 519, 2413, 2645, 594, 723, 693, 1250, 12871, 269, 4014, 621, 729, 942, 10438, 543, 2352, 267, 621, 568, 519, 3364, 602, 594, 1131, 899, 547, 798, 1586, 865, 602, 594, 666, 13217, 519, 1184, 811, 543, 23248, 1985, 942, 1118, 513, 3677, 16405, 267, 609, 513, 811, 6946, 4806, 563, 295, 1177, 7719, 267, 590, 5861, 269, 630, 2735, 280, 1040, 1284, 777, 976, 543, 2782, 11071, 538, 17454, 29509, 4789, 269, 4279, 6628, 281, 10228, 2160, 9730, 540, 26337, 563, 299, 836, 267, 808, 10611, 2529, 269, 630, 2735, 275, 1040, 634, 14958, 540, 519, 2349, 2931, 19431, 269, 32600, 540, 519, 1290, 527, 2946, 13248, 3288, 28788, 2946, 337, 4026, 773, 1323, 857, 26413, 645, 1409, 770, 1916, 18250, 26364, 987, 267, 808, 12991, 269, 630, 3192, 274, 1040, 589, 1867, 593, 519, 5450, 718, 17790, 22410, 540, 476, 276, 23650, 776, 7216, 11635, 6520, 18156, 19059, 689, 700, 14979, 31762, 3419, 29732, 269, 4750, 540, 1488, 916, 543, 14022, 528, 17502, 269, 476, 10170, 563, 12606, 20861, 7300, 0, 23173, 650, 267, 623, 269, 630, 1001, 271, 264, 6820, 7827, 269, 7186, 4065, 11310, 476, 274, 263, 1015, 2567, 5392, 3095, 547, 1957, 454, 310, 531, 750, 267, 717, 10611, 1421, 5403, 267, 661, 1421, 1230, 3272, 267, 623, 1421, 9093, 29992, 267, 589, 1421, 623, 1301, 525, 534, 267, 595, 1421, 27392, 23331, 267, 570, 12282, 1421, 31530, 618, 514, 267, 808, 8160, 1421, 670, 4141, 724, 8566, 592, 323, 6199, 267, 744, 269, 543, 645, 1515, 548, 514, 267, 674, 1421, 476, 1220, 273, 269, 26954, 6114, 547, 2487, 2916, 1689, 269, 7186, 267, 476, 275, 1626, 263, 6924, 278, 280, 1070, 533, 269, 4343, 280, 269, 3095, 547, 1957, 454, 28074, 540, 519, 1570, 649, 4076, 4988, 865, 2484, 814, 5059, 593, 3069, 543, 5924, 519, 3310, 540, 513, 11979, 1604, 269, 2334, 568, 267, 519, 13395, 729, 3989, 538, 2474, 540, 705, 8438, 7109, 1734, 267, 855, 950, 649, 15810, 519, 13395, 883, 13664, 2230, 267, 649, 2808, 519, 2825, 13395, 7852, 547, 1491, 593, 513, 2582, 1871, 936, 513, 10257, 15415, 269, 1717, 267, 8733, 1949, 616, 4657, 267, 930, 811, 6385, 982, 1866, 269, 6969, 649, 979, 1022, 2417, 883, 713, 1888, 267, 594, 786, 4063, 602, 594, 993, 711, 12394, 547, 5774, 518, 547, 1022, 2797, 610, 1514, 1895, 269, 13518, 540, 1018, 649, 2911, 827, 2221, 18953, 593, 2152, 602, 616, 5701, 607, 851, 16388, 267, 799, 594, 2731, 1810, 1406, 3858, 609, 267, 855, 649, 786, 711, 1865, 519, 2797, 610, 1514, 6286, 269, 5502, 649, 786, 1445, 593, 519, 2257, 267, 543, 4481, 593, 875, 2244, 946, 543, 2825, 1689, 5540, 8733, 1949, 2066, 782, 10253, 540, 3919, 630, 785, 1339, 1107, 5117, 1916, 3383, 649, 666, 1376, 676, 10512, 1944, 1018, 649, 1611, 676, 2244, 946, 1689, 543, 2825, 1689, 269, 3371, 267, 649, 3580, 1445, 7361, 593, 1480, 14001, 2242, 547, 519, 5251, 563, 27455, 946, 1689, 2882, 2238, 899, 19883, 267, 4155, 11305, 640, 1646, 267, 543, 6683, 269, 2334, 568, 267, 519, 2168, 2244, 568, 4957, 689, 930, 630, 9895, 328, 9984, 11499, 1533, 547, 1945, 7168, 796, 11499, 269, 901, 814, 1463, 2360, 593, 1367, 6668, 543, 7766, 2551, 2208, 267, 607, 1134, 607, 519, 1761, 547, 6521, 2146, 2497, 950, 2249, 8428, 538, 741, 8417, 547, 19717, 563, 324, 3052, 1421, 936, 327, 2863, 532, 543, 26610, 2360, 2810, 14486, 563, 20245, 1689, 4016, 547, 3476, 2053, 7051, 2242, 547, 8733, 1949, 267, 3006, 607, 513, 1267, 540, 606, 9940, 1198, 269, 901, 267, 538, 1250, 4214, 267, 13315, 1312, 2916, 1689, 267, 543, 6281, 2360, 540, 5533, 630, 324, 3052, 1421, 3679, 4764, 1040, 8693, 1689, 4016, 547, 519, 1279, 3410, 2333, 538, 1611, 5993, 2837, 267, 543, 519, 2404, 9259, 11341, 547, 606, 2333, 538, 3665, 4365, 2621, 630, 324, 3052, 1421, 17160, 1916, 324, 3052, 1421, 4856, 531, 6926, 2286, 1813, 547, 8375, 4262, 5210, 543, 5836, 3679, 2305, 630, 27463, 1078, 2910, 273, 538, 519, 5790, 568, 4744, 6295, 883, 12084, 267, 1818, 26869, 811, 15755, 267, 4929, 519, 14147, 7729, 30416, 547, 23271, 1916, 4131, 779, 2911, 827, 2910, 273, 1101, 269, 2910, 273, 568, 1500, 7361, 676, 519, 8781, 540, 8093, 10173, 267, 855, 814, 1082, 2825, 2959, 607, 1134, 630, 10809, 11642, 267, 1793, 1054, 7362, 267, 3092, 12175, 9891, 5982, 267, 3226, 18342, 5982, 267, 3587, 16290, 676, 8511, 9362, 267, 799, 1832, 18342, 5982, 6251, 547, 519, 3618, 630, 663, 18342, 5982, 568, 10416, 3002, 1040, 901, 568, 1572, 519, 968, 13582, 5264, 1198, 6100, 2910, 273, 5834, 814, 7814, 539, 936, 942, 630, 11034, 532, 827, 476, 6110, 330, 1296, 3516, 267, 972, 723, 1044, 476, 274, 268, 275, 9979, 1070, 855, 519, 4028, 4473, 538, 2910, 273, 1310, 519, 4853, 4838, 568, 1631, 1055, 519, 12125, 267, 10834, 3425, 616, 7133, 2910, 273, 2157, 269, 901, 4473, 538, 2910, 273, 568, 15810, 547, 1689, 519, 1611, 2837, 540, 519, 4541, 269, 901, 4473, 538, 2837, 568, 2404, 609, 4262, 1377, 4473, 269, 1703, 779, 513, 2603, 540, 1216, 538, 519, 5836, 602, 568, 538, 519, 1106, 540, 4672, 269, 10435, 621, 15911, 2306, 602, 4672, 15835, 269, 3502, 1434, 563, 19808, 9711, 593, 3425, 26184, 20296, 2621, 630, 324, 3052, 1421, 17160, 267, 14324, 29777, 264, 616, 4397, 547, 2333, 269, 4746, 267, 609, 4262, 1377, 4473, 267, 1082, 9381, 4872, 949, 581, 693, 1981, 540, 14700, 811, 1419, 610, 1373, 796, 514, 4725, 3386, 563, 1103, 2739, 1190, 3676, 267, 593, 3328, 267, 4043, 547, 581, 8338, 538, 2362, 5210, 269, 901, 568, 2523, 3020, 540, 18151, 268, 557, 551, 1819, 13596, 630, 324, 3052, 1421, 13663, 267, 28939, 267, 669, 10884, 684, 5984, 267, 3092, 28593, 763, 1198, 540, 2916, 1689, 568, 849, 7856, 1875, 268, 12690, 569, 267, 1141, 3384, 2477, 616, 693, 2362, 16151, 1813, 547, 519, 3908, 2702, 547, 4431, 547, 1804, 2825, 10593, 267, 513, 1761, 21341, 593, 2067, 2200, 267, 543, 3274, 1141, 519, 2197, 568, 4092, 32321, 269, 2755, 519, 4102, 2360, 538, 2474, 540, 3928, 540, 1689, 538, 2837, 786, 581, 5433, 693, 519, 18635, 267, 519, 11944, 540, 3209, 630, 6866, 1044, 4767, 264, 2825, 2175, 786, 581, 5207, 2282, 519, 20337, 269, 901, 568, 2523, 3020, 538, 2474, 540, 13247, 267, 799, 568, 4397, 547, 6175, 538, 31210, 4525, 563, 19808, 9711, 593, 4307, 1108, 26263, 1108, 568, 519, 12557, 540, 2249, 12119, 1272, 1686, 2621, 630, 324, 3052, 1421, 838, 27681, 538, 3165, 267, 4212, 18413, 538, 5017, 267, 15496, 538, 2371, 1040, 13689, 593, 1018, 2249, 946, 607, 513, 5365, 585, 971, 606, 2680, 267, 2916, 1689, 666, 723, 18312, 2360, 269, 5871, 2242, 616, 519, 4505, 9960, 540, 5017, 267, 4505, 838, 27681, 540, 27738, 543, 3165, 267, 543, 4505, 15496, 2053, 538, 2371, 269, 901, 568, 711, 8209, 513, 1966, 676, 3294, 267, 855, 2015, 519, 2249, 602, 7048, 593, 12119, 2030, 610, 3662, 2200, 269, 1280, 3236, 267, 5521, 25199, 540, 2371, 723, 547, 10836, 693, 513, 942, 547, 1655, 31194, 593, 519, 27536, 4199, 267, 855, 609, 4307, 1670, 10593, 267, 519, 8768, 1223, 16036, 1510, 1022, 5521, 25199, 693, 1101, 269, 901, 568, 2523, 3020, 952, 7786, 616, 14775, 547, 1114, 10291, 585, 11944, 269, 901, 5012, 547, 513, 4307, 1670, 25314, 2255, 1063, 15025, 2249, 563, 19808, 9711, 593, 2249, 9832, 1403, 2249, 941, 9363, 4625, 1369, 741, 13395, 7182, 267, 789, 1522, 3274, 3950, 741, 6099, 2825, 2175, 998, 29371, 269, 15661, 1223, 849, 3082, 547, 513, 4657, 1604, 998, 8965, 2242, 269, 14936, 267, 2249, 1223, 5884, 269, 901, 2063, 4781, 4667, 513, 3787, 25064, 267, 855, 4386, 9425, 1419, 538, 3500, 1673, 7371, 619, 532, 7103, 267, 610, 7103, 593, 10239, 563, 324, 3052, 1421, 6173, 1049, 2039, 7182, 593, 10239, 269, 12518, 666, 1152, 979, 865, 1164, 1354, 789, 2196, 856, 540, 5078, 5054, 563, 8266, 540, 29829, 3688, 281, 17904, 1447, 267, 3548, 1447, 5779, 267, 5397, 1447, 267, 8038, 1447, 267, 4444, 1447, 269, 0, 763, 23435, 294, 16257, 267, 799, 729, 3964, 538, 476, 1960, 279, 267, 568, 519, 2518, 3044, 5943, 585, 7893, 543, 5883, 8511, 3154, 5434, 630, 21203, 294, 264, 689, 1312, 4357, 543, 1857, 5823, 4238, 267, 1871, 11800, 267, 543, 17846, 3527, 269, 634, 23435, 294, 16257, 729, 2813, 998, 513, 11450, 1063, 519, 2622, 8249, 4659, 543, 519, 2622, 6355, 7027, 585, 12655, 4886, 267, 609, 519, 3804, 540, 3384, 8051, 4441, 267, 2645, 267, 543, 2866, 547, 948, 4213, 2268, 543, 4383, 741, 2916, 2914, 9879, 5434, 269, 634, 23435, 294, 16257, 2488, 4808, 543, 4170, 585, 3549, 547, 5965, 606, 11891, 540, 741, 8511, 3154, 5434, 267, 1519, 519, 9819, 540, 741, 9746, 3327, 11640, 269, 15788, 267, 519, 23435, 294, 16257, 568, 606, 1898, 1907, 585, 3549, 547, 1732, 1174, 543, 4383, 741, 8511, 3154, 5434, 267, 6038, 7700, 547, 519, 2518, 4674, 547, 8396, 2916, 1689, 563, 8005, 1058, 1451, 827, 519, 23435, 294, 16257, 286, 9523, 707, 1565, 1631, 281, 0, 2252, 596, 2461, 513, 6995, 24158, 267, 596, 4076, 4440, 4862, 540, 6259, 3821, 6995, 10365, 269, 6259, 3821, 6995, 568, 519, 1034, 2442, 543, 4922, 10057, 6995, 3099, 538, 519, 1158, 269, 769, 1249, 267, 811, 982, 476, 2568, 260, 540, 519, 6995, 3812, 5001, 568, 6259, 3821, 563, 3719, 1018, 4010, 616, 6259, 3821, 6995, 10365, 286, 6259, 3821, 6995, 10365, 616, 513, 2249, 540, 6995, 2030, 602, 568, 5065, 547, 18629, 267, 543, 621, 779, 519, 1034, 4122, 6738, 6995, 2249, 538, 519, 1158, 269, 6259, 3821, 6995, 568, 17028, 7458, 585, 922, 10347, 8137, 543, 24710, 267, 543, 621, 779, 1419, 1031, 538, 20614, 6995, 24025, 563, 1103, 713, 2376, 267, 649, 3580, 1491, 513, 6251, 1413, 693, 6259, 3821, 6995, 10365, 267, 1519, 741, 1686, 267, 4162, 267, 1072, 2640, 267, 543, 811, 269, 1284, 3580, 849, 5635, 6259, 3821, 6995, 547, 824, 6995, 8677, 267, 2263, 519, 3395, 543, 16276, 1184, 267, 543, 1683, 4388, 593, 887, 8463, 543, 28823, 519, 3501, 7484, 540, 6259, 3821, 6995, 563, 3383, 267, 2436, 596, 2461, 513, 6995, 7192, 20601, 5964, 610, 1175, 3478, 3323, 267, 1224, 593, 547, 1451, 811, 827, 6259, 3821, 6995, 10365, 543, 1946, 789 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 540, 782, 824, 6080, 267, 519, 1482, 786, 4755, 609, 2069, 538, 519, 1296, 547, 2097, 563, 3528, 7225, 344, 32298, 267, 12751, 16711, 20229, 585, 22126, 6820, 16195, 454, 15253, 6842, 622, 1416, 568, 513, 2462, 851, 540, 1018, 649, 798, 607, 11923, 269, 3776, 2816, 814, 2141, 1044, 547, 948, 1312, 2550, 543, 741, 3885, 269, 1284, 6432, 547, 2055, 543, 4145, 267, 2491, 3877, 540, 5574, 543, 5773, 267, 543, 22937, 1489, 538, 1082, 824, 2081, 269, 1284, 723, 3573, 5578, 5036, 538, 519, 1072, 9443, 267, 607, 1134, 607, 11558, 543, 3919, 1983, 602, 649, 946, 547, 948, 1866, 269, 0, 288, 5634, 568, 513, 1268, 896, 476, 1240, 1296, 540, 2085, 269, 769, 4587, 9086, 267, 789, 941, 1419, 5219, 547, 607, 968, 8882, 1218, 6100, 634, 2085, 540, 5354, 729, 4389, 689, 476, 2641, 1296, 547, 476, 1240, 1296, 676, 519, 6520, 540, 11683, 640, 2920, 267, 476, 2735, 276, 563, 26807, 2010, 540, 11731, 616, 11006, 593, 513, 5634, 269, 11524, 949, 581, 1065, 644, 7007, 269, 11524, 616, 11613, 20704, 543, 540, 1100, 1198, 563, 288, 5634, 666, 4283, 11731, 547, 10536, 968, 928, 947, 2456, 6100, 3026, 947, 2456, 949, 581, 4334, 539, 609, 12743, 3753, 269, 634, 4082, 968, 12999, 1722, 892, 814, 1100, 3656, 4644, 855, 568, 3006, 1031, 547, 4766, 602, 799, 568, 711, 513, 2556, 563, 10468, 947, 2456, 896, 519, 22312, 540, 6153, 338, 20450, 616, 3989, 607, 5370, 5078, 547, 519, 2783, 540, 1272, 540, 519, 5634, 7255, 543, 1010, 4890, 4170, 693, 519, 942, 540, 4579, 269, 3026, 10354, 2533, 693, 1455, 1876, 267, 799, 949, 1331, 267, 585, 1383, 267, 2866, 543, 29095, 1222, 267, 22098, 267, 1072, 1416, 267, 543, 3560, 723, 606, 6697, 2495, 563, 14240, 540, 3026, 10354, 454, 2108, 10468, 10354, 892, 5370, 616, 3989, 538, 8791, 476, 273, 540, 519, 22312, 540, 6153, 338, 2920, 607, 5370, 5078, 547, 519, 2783, 538, 1272, 540, 971, 10867, 610, 5634, 543, 547, 1010, 4890, 4170, 693, 519, 942, 540, 9042, 543, 6765, 269, 31072, 540, 713, 4214, 267, 519, 1455, 1876, 10039, 267, 799, 713, 4214, 7361, 9356, 563, 2005, 1590, 581, 3254, 519, 5370, 616, 5827, 540, 1373, 2122, 2456, 607, 513, 2339, 540, 1876, 269, 898, 1590, 581, 3254, 602, 519, 5370, 616, 538, 1249, 968, 928, 947, 2456, 892, 538, 519, 1880, 6381, 540, 519, 5634, 269, 4813, 28861, 267, 519, 11984, 729, 540, 811, 2956, 538, 602, 795, 3753, 5462, 519, 8545, 1247, 519, 9794, 5462, 519, 5449, 269, 808, 3753, 723, 1100, 1909, 1631, 538, 21556, 540, 4579, 2665, 563, 288, 968, 928, 10354, 892, 568, 4334, 539, 609, 513, 17195, 269, 589, 17195, 610, 31768, 3112, 581, 513, 2556, 269, 1717, 267, 1018, 568, 513, 2556, 2242, 609, 519, 6381, 540, 2486, 543, 1272, 269, 589, 2556, 666, 1331, 2556, 18820, 796, 8588, 609, 519, 5634, 267, 585, 1866, 585, 7247, 646, 568, 25432, 3743, 269, 898, 666, 9784, 5370, 543, 2533, 563, 14300, 540, 3026, 947, 2456, 454, 1432, 568, 513, 2556, 786, 4096, 593, 519, 4890, 2990, 540, 519, 5634, 538, 2243, 267, 1519, 1010, 4170, 267, 1514, 4567, 267, 543, 5763, 269, 1548, 949, 581, 513, 2556, 609, 2463, 540, 835, 5634, 267, 949, 711, 581, 513, 2556, 538, 2463, 540, 1776, 563, 763, 1739, 616, 1806, 540, 5370, 543, 2533, 799, 616, 5827, 540, 1373, 2122, 2456, 269, 2986, 1576, 267, 519, 2243, 540, 2436, 540, 789, 616, 538, 1249, 2122, 2456, 5673, 593, 519, 6381, 540, 519, 24769, 563, 268, 1426, 543, 4235, 3248, 268, 25778, 3101, 543, 22098, 3248, 268, 2069, 543, 2866, 3248, 268, 2564, 6351, 3248, 268, 3656, 5351, 3248, 268, 1898, 2533, 563, 763, 18261, 540, 519, 5370, 610, 2533, 12217, 519, 11411, 540, 18445, 602, 519, 5370, 538, 2243, 616, 513, 2556, 585, 519, 24769, 5634, 563, 299, 334, 753, 547, 3687, 832, 454, 763, 5606, 1218, 28057, 2920, 267, 476, 6942, 275, 14906, 619, 1978, 11731, 676, 1295, 832, 20704, 269, 1358, 1331, 1034, 12029, 543, 6589, 7150, 267, 1373, 9247, 22440, 563, 299, 334, 753, 585, 2122, 2456, 616, 711, 540, 2933, 9156, 762, 269, 1403, 519, 5634, 3096, 519, 22666, 1395, 625, 547, 6718, 513, 2556, 267, 519, 561, 2658, 666, 2356, 1796, 538, 519, 1747, 540, 519, 18261, 267, 896, 519, 6240, 540, 1016, 5766, 566, 269, 1717, 267, 1964, 3191, 568, 711, 15868, 547, 4931, 1203, 519, 2262, 532, 540, 519, 5606, 1218, 28057, 338, 2920, 267, 1141, 621, 10039, 563, 10702, 476, 6245, 273, 9086, 10039, 547, 513, 5634, 779, 10211, 269, 1403, 1022, 5634, 267, 945, 814, 26438, 513, 10211, 799, 568, 20704, 538, 1876, 267, 23216, 1310, 646, 2501, 540, 2085, 547, 2628, 1022, 2724, 799, 538, 2898, 610, 538, 851, 4564, 610, 568, 8815, 547, 581, 6976, 538, 2463, 540, 1022, 971, 10211, 267, 543, 568, 711, 513, 1007, 4434, 267, 971, 6876, 267, 543, 1022, 6293, 267, 7858, 4192, 610, 824, 267, 2016, 538, 5083, 340, 766, 540, 610, 585, 8876, 883, 1198, 971, 6876, 267, 610, 6382, 538, 6935, 547, 519, 8569, 540, 2724, 8204, 610, 538, 2463, 540, 971, 10211, 267, 568, 2073, 865, 2484, 607, 621, 12211, 547, 2724, 799, 4564, 610, 568, 2628, 762, 538, 2463, 540, 971, 10211, 267, 543, 568, 711, 513, 1007, 4434, 267, 581, 20704, 11613, 607, 1996, 782, 7606, 7247, 29639, 563, 13051, 1030, 2772, 20260, 540, 7896, 454, 288, 4579, 540, 3028, 786, 12622, 513, 5634, 952, 621, 568, 6225, 269, 898, 568, 3622, 2938, 547, 581, 6225, 547, 513, 5634, 547, 1451, 513, 4123, 610, 1870, 269, 5484, 1030, 2772, 11731, 540, 3028, 949, 1331, 29095, 4721, 267, 2866, 11731, 267, 2069, 2533, 543, 11731, 540, 7694, 563, 3725, 32208, 543, 3044, 2474, 540, 29095, 1222, 538, 513, 1880, 4123, 616, 2693, 547, 581, 7608, 607, 11006, 269, 898, 568, 540, 4644, 2436, 519, 5634, 568, 8391, 2069, 543, 2866, 269, 901, 568, 3622, 2838, 547, 1118, 519, 4579, 6225, 269, 1717, 267, 519, 15980, 540, 2724, 538, 3294, 949, 581, 6190, 547, 581, 6225, 454, 763, 6225, 2470, 540, 519, 4579, 568, 12290, 609, 4704, 547, 519, 2883, 543, 824, 4324, 547, 519, 5634, 269, 9208, 2866, 543, 6044, 11731, 616, 2693, 547, 581, 811, 11593, 909, 18988, 607, 6225, 563, 4462, 325, 1515, 3344, 540, 20260, 454, 2304, 15490, 608, 18277, 16083, 538, 519, 4579, 609, 513, 5634, 949, 581, 13351, 1524, 607, 15490, 269, 634, 14230, 540, 519, 4579, 949, 581, 909, 18988, 267, 695, 1941, 540, 519, 16083, 799, 1625, 7964, 547, 3970, 610, 23868, 15668, 563, 2750, 18277, 21291, 538, 11731, 609, 1295, 832, 616, 3226, 2693, 547, 581, 1336, 547, 581, 1996, 519, 5634, 779, 4690, 269, 1323, 608, 18277, 16083, 949, 1118, 606, 6382, 6225, 4579, 711, 865, 269, 1717, 267, 519, 5480, 786, 2015, 2436, 519, 4579, 607, 513, 2898, 568, 6225, 563, 763, 6225, 2470, 610, 6382, 540, 513, 4579, 568, 5462, 693, 519, 4143, 942, 543, 711, 609, 519, 4324, 540, 12042, 338, 697, 269, 634, 3390, 949, 581, 4143, 538, 519, 2796, 540, 519, 3652, 540, 23242, 14540, 547, 799, 1295, 832, 616, 513, 5428, 563, 3725, 20287, 540, 20260, 676, 3687, 832, 454, 26807, 11731, 616, 4570, 8259, 789, 616, 15653, 1369, 513, 10257, 942, 1310, 519, 5634, 2501, 540, 2085, 267, 1775, 4318, 269, 10301, 476, 1240, 1296, 540, 2085, 269, 634, 10470, 723, 6444, 1978, 6688, 540, 11731, 607, 1641, 547, 713, 4781, 547, 968, 10517, 644, 5573, 9731, 268, 6142, 11731, 454, 268, 7365, 17260, 454, 268, 11731, 585, 519, 28286, 618, 540, 8843, 454, 268, 11450, 11731, 454, 268, 25755, 543, 6718, 540, 2244, 609, 5571, 13800, 454, 763, 1318, 547, 1065, 644, 5573, 949, 581, 27361, 676, 519, 5634, 1247, 646, 568, 896, 2085, 610, 1369, 513, 10257, 942, 1310, 1140, 8724, 476, 1240, 1296, 269, 1548, 568, 10257, 786, 4096, 593, 519, 5013, 543, 6381, 269, 634, 5634, 779, 22293, 540, 519, 1876, 1281, 711, 2408, 547, 581, 513, 6190, 4493, 585, 8488, 563, 8489, 513, 4579, 568, 1065, 644, 7007, 267, 2104, 13800, 1439, 269, 1717, 267, 13800, 934, 29471, 547, 4266, 1590, 581, 1558, 269, 18401, 568, 1152, 15868, 952, 972, 814, 1044, 513, 2698, 5821, 540, 7156, 269, 901, 3340, 602, 646, 1705, 711, 1205, 519, 4324, 540, 1018, 646, 814, 26438, 585, 269, 6423, 3622, 519, 6810, 593, 1964, 3191, 269, 634, 10421, 585, 513, 2698, 5821, 666, 581, 2352, 547, 6961, 865, 602, 11033, 1500, 786, 711, 581, 11593, 9156, 762, 563, 309, 1355, 676, 476, 6942, 275, 2920, 454, 26807, 11731, 676, 1295, 832, 616, 16363, 20704, 676, 519, 5606, 1218, 28057, 2920, 269, 2353, 11731, 267, 9411, 883, 676, 513, 5634, 585, 519, 23231, 618, 540, 2724, 21378, 610, 547, 581, 21378, 267, 610, 585, 5370, 13859, 610, 547, 581, 13859, 630, 1278, 982, 11731, 585, 2122, 2456, 1070, 543, 782, 6589, 7150, 609, 1295, 832, 267, 616, 11613, 20704, 563, 763, 5634, 949, 9156, 1141, 972, 814, 1044, 513, 2698, 5821, 540, 7156, 1152, 269, 3502, 5976, 9227, 519, 4579, 1373, 20704, 267, 3959, 538, 519, 5370, 949, 1780, 593, 6765, 269, 634, 5634, 949, 647, 324, 593, 519, 4579, 563, 1607, 11865, 1281, 711, 23380, 622, 1022, 4579, 883, 799, 513, 5634, 949, 267, 676, 1022, 4540, 610, 2104, 29417, 267, 610, 676, 519, 3652, 540, 1455, 1876, 610, 9698, 267, 4283, 267, 4849, 971, 607, 616, 6382, 20704, 762, 676, 1876, 563, 763, 2920, 1281, 711, 4019, 547, 11731, 585, 2122, 2456, 267, 6225, 11731, 540, 3028, 543, 11731, 540, 513, 18596, 2470, 563, 305, 520, 2305, 540, 20260, 593, 9509, 6520, 966, 1355, 454, 763, 2920, 2488, 602, 22440, 26438, 1282, 26638, 949, 711, 581, 16626, 1310, 2407, 2085, 267, 1256, 952, 32738, 267, 2436, 610, 711, 972, 814, 1044, 1007, 7156, 269, 13018, 267, 621, 2488, 602, 602, 1100, 2962, 666, 581, 4547, 593, 519, 3731, 2305, 540, 513, 5634, 779, 4579, 1500, 1310, 2407, 2085, 547, 2628, 1022, 7963, 26438, 1282, 26638, 267, 610, 2390, 1022, 3731, 2305, 1500, 1310, 2407, 2085, 540, 1022, 9153, 610, 4579, 1500, 1282, 26638, 267, 2436, 972, 4927, 610, 4927, 711, 581, 1022, 1007, 7156, 585, 971, 9153, 610, 3731, 2305, 1310, 2407, 2085, 269, 22353, 267, 513, 4195, 9153, 547, 2628, 513, 10211, 26438, 1247, 896, 2085, 568, 20704, 563, 763, 29611, 540, 606, 2962, 593, 3731, 2305, 10039, 547, 1034, 5634, 11731, 269, 901, 11865, 540, 519, 5606, 1218, 28057, 2920, 568, 9962, 982, 519, 1101, 268, 20197, 11865, 269, 898, 608, 11079, 1152, 11731, 585, 2122, 2456, 267, 6225, 11731, 540, 2533, 543, 11731, 609, 13350, 18596, 13800, 267, 799, 949, 581, 14284, 593, 1140, 8724, 5354, 563, 763, 5634, 568, 3622, 8572, 547, 3489, 513, 32479, 540, 519, 6718, 1395, 625, 540, 5370, 799, 789, 723, 1044, 10057, 610, 1031, 267, 607, 972, 568, 1100, 513, 2347, 5821, 540, 7156, 563, 8448, 27519, 12983, 454, 23744, 267, 606, 10867, 949, 711, 17997, 513, 4579, 676, 1259, 540, 1808, 2773, 267, 952, 621, 1223, 711, 581, 8449, 17997, 762, 1996, 1864, 269, 901, 5205, 689, 519, 6240, 540, 4573, 7081, 269, 1403, 646, 3792, 1206, 519, 4579, 1310, 2407, 2085, 267, 646, 949, 1491, 1808, 2773, 18659, 269, 901, 1281, 711, 4019, 547, 22440, 1641, 547, 519, 23862, 28057, 2920, 607, 1808, 2773, 1281, 711, 8451, 563, 1103, 6825, 4334, 547, 519, 4027, 6488, 539, 547, 1295, 832, 538, 2463, 547, 11731, 267, 513, 5634, 568, 25964, 585, 1010, 512, 2176, 1315, 3540, 4636, 338, 799, 798, 711, 2154, 513, 1808, 9837, 267, 689, 513, 5266, 1762, 2085, 267, 5732, 607, 1762, 607, 5722, 1296, 685, 2025, 269, 901, 6227, 1034, 512, 2176, 267, 799, 2154, 1152, 32226, 610, 824, 24966, 1447, 982, 18532, 4636, 4777, 532, 563, 299, 6636, 585, 3540, 4636, 338, 1590, 711, 581, 606, 9940, 1797, 540, 30191, 513, 4579, 269, 4475, 267, 519, 21556, 540, 11645, 5702, 5532, 609, 23563, 540, 4579, 616, 711, 17997, 762, 563, 19119, 676, 17793, 644, 454, 293, 571, 644, 12040, 6041, 267, 799, 28901, 1776, 547, 7985, 2530, 267, 2436, 538, 513, 4579, 783, 610, 824, 2796, 568, 513, 12475, 1315, 3540, 4636, 269, 1306, 621, 3340, 1808, 9837, 267, 513, 5634, 568, 711, 25964, 267, 693, 2547, 8259, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 12334, 257, 26520, 538, 2453, 899, 834, 10623, 30099, 257, 543, 834, 325, 1197, 880, 2437, 782, 540, 799, 4766, 513, 2783, 540, 7670, 3754, 10761, 267, 1964, 1652, 1648, 267, 543, 1642, 597, 1190, 535, 1722, 3361, 676, 513, 4049, 8611, 563, 293, 1197, 3294, 568, 3989, 607, 606, 11506, 1560, 2837, 267, 543, 4352, 1034, 1004, 781, 4703, 2226, 741, 1378, 1305, 1448, 267, 930, 3676, 630, 7945, 607, 13663, 264, 666, 2014, 5210, 547, 4473, 1360, 1164, 267, 1256, 1498, 12489, 616, 3812, 547, 4339, 873, 1055, 269, 1809, 1152, 1004, 945, 723, 2760, 1185, 513, 8611, 917, 1018, 621, 7959, 899, 950, 707, 1560, 568, 12699, 909, 676, 513, 3644, 610, 4551, 602, 666, 1100, 3476, 581, 9571, 676, 519, 4761, 1062, 269, 1358, 1810, 1405, 1745, 1022, 1114, 982, 789, 1131, 952, 741, 1973, 941, 14495, 3905, 563, 3719, 2094, 834, 335, 3558, 257, 568, 1031, 1934, 538, 922, 8723, 2631, 540, 834, 320, 1164, 1790, 17097, 3280, 2437, 594, 9364, 2161, 713, 568, 1141, 519, 13509, 6013, 563, 290, 629, 514, 8611, 568, 513, 1134, 8153, 2262, 10503, 513, 7928, 5114, 547, 1373, 9678, 610, 16876, 585, 513, 17890, 1974, 540, 942, 269, 12580, 454, 5353, 553, 32169, 568, 3812, 676, 519, 20437, 5163, 540, 513, 6077, 593, 519, 4262, 267, 799, 3123, 513, 4655, 538, 519, 6418, 1274, 267, 799, 8075, 519, 1480, 3666, 1062, 269, 901, 2164, 538, 2589, 971, 607, 21994, 267, 15353, 267, 543, 13481, 563, 763, 1614, 2010, 540, 15798, 32169, 616, 16064, 19210, 267, 6928, 781, 3350, 19210, 267, 543, 5951, 14001, 5163, 19210, 563, 5719, 1188, 19210, 4386, 950, 972, 568, 1100, 3350, 693, 782, 267, 971, 607, 950, 596, 616, 593, 2244, 610, 20829, 513, 1869, 6077, 269, 4658, 945, 7985, 689, 713, 1826, 540, 19210, 1745, 562, 1021, 730, 1256, 1498, 789, 616, 711, 3001, 693, 782, 269, 898, 2501, 689, 606, 18633, 3760, 602, 3947, 596, 4606, 899, 1373, 593, 513, 10935, 609, 1100, 5748, 563, 306, 1222, 781, 3350, 19210, 568, 3361, 676, 519, 3350, 540, 519, 6174, 3294, 269, 1403, 596, 616, 10707, 676, 10935, 2066, 1930, 1216, 267, 1287, 596, 786, 1995, 713, 1826, 540, 19210, 269, 634, 1034, 1455, 10835, 540, 6928, 781, 3350, 19210, 568, 667, 20063, 267, 4553, 676, 715, 13835, 543, 966, 558, 1746, 563, 310, 1511, 14001, 5163, 19210, 568, 3361, 676, 519, 3350, 540, 519, 10935, 3448, 547, 519, 6329, 269, 1403, 519, 10935, 568, 4224, 532, 1394, 543, 8521, 267, 596, 786, 1995, 713, 1826, 540, 19210, 269, 634, 1034, 1455, 10835, 540, 5951, 14001, 5163, 19210, 568, 667, 20063, 267, 4553, 676, 715, 13835, 543, 966, 558, 1746, 269, 0, 763, 31669, 3490, 540, 1035, 2045, 3679, 267, 21449, 622, 568, 544, 730, 547, 513, 9770, 524, 566, 3079, 540, 7250, 269, 1403, 835, 941, 547, 3717, 899, 513, 1483, 10196, 835, 1522, 2161, 602, 9770, 21449, 622, 568, 519, 9770, 6070, 540, 1035, 2045, 3679, 269, 4258, 777, 22938, 1426, 9755, 12212, 946, 621, 538, 9114, 340, 540, 4890, 6070, 543, 16693, 563, 763, 31669, 3490, 540, 561, 12519, 3679, 267, 14915, 622, 568, 1459, 538, 19134, 10458, 779, 607, 513, 9770, 6070, 269, 898, 568, 1336, 538, 782, 5686, 540, 12691, 4025, 269, 898, 568, 513, 1426, 19605, 543, 15151, 950, 2016, 12499, 1597, 3585, 621, 666, 581, 1031, 547, 1521, 606, 30072, 540, 4147, 476, 272, 4550, 1551, 1506, 339, 332, 923, 899, 22876, 664, 29524, 543, 844, 514, 26593, 454, 290, 527, 878, 3679, 20919, 540, 9770, 2097, 538, 1614, 7657, 2293, 281, 1395, 657, 18754, 267, 771, 18754, 543, 959, 529, 18754, 269, 1306, 666, 581, 10750, 569, 2938, 267, 972, 616, 1614, 7158, 585, 9770, 547, 19582, 593, 519, 3632, 3433, 606, 542, 269, 634, 1395, 657, 18754, 3099, 568, 1031, 547, 1750, 17218, 7513, 538, 14095, 2281, 547, 2061, 32378, 269, 634, 771, 18754, 2249, 568, 606, 23639, 15696, 6819, 1426, 19605, 269, 2558, 529, 18754, 3632, 3433, 568, 519, 12404, 748, 2389, 8463, 1884, 29403, 8929, 596, 2285, 547, 9176, 2021, 607, 513, 840, 4364, 1709, 585, 741, 1528, 633, 1309, 525, 4115, 563, 763, 9770, 6070, 540, 1350, 340, 935, 545, 3679, 269, 898, 568, 8329, 547, 3435, 607, 513, 1611, 540, 3160, 1944, 519, 524, 566, 12845, 542, 3666, 282, 2705, 607, 606, 606, 542, 621, 4667, 547, 581, 28772, 10999, 24631, 267, 543, 621, 814, 1152, 513, 7811, 1909, 547, 1404, 607, 513, 834, 321, 545, 12365, 622, 24888, 2668, 898, 568, 5018, 1934, 1317, 1142, 1396, 516, 9126, 540, 26736, 2742, 6441, 344, 974, 476, 16825, 3568, 476, 2537, 6515, 565, 540, 713, 8631, 563, 2005, 568, 1360, 2182, 547, 1265, 1022, 2564, 1344, 827, 519, 1350, 340, 935, 622, 606, 542, 267, 2119, 607, 596, 1522, 269, 594, 7307, 547, 1205, 513, 3180, 540, 713, 3561, 267, 799, 2306, 1896, 7682, 687, 827, 1350, 340, 935, 622, 630, 1721, 3236, 267, 602, 621, 568, 513, 3339, 10894, 1587, 540, 7280, 10307, 267, 543, 602, 519, 3328, 1480, 7472, 476, 1839, 268, 1789, 10101, 540, 621, 829, 1554, 1916, 6097, 547, 713, 4853, 7998, 1957, 267, 1350, 340, 935, 622, 568, 711, 8311, 2213, 3226, 1134, 267, 543, 827, 476, 5952, 260, 540, 621, 568, 608, 920, 1540, 24240, 538, 519, 10729, 563, 2710, 28772, 5505, 3858, 286, 12344, 269, 4208, 568, 3388, 827, 713, 1641, 2854, 538, 519, 476, 4198, 271, 338, 286, 1703, 729, 6612, 1287, 282, 1004, 1031, 547, 2731, 2887, 538, 2648, 609, 17550, 269, 3502, 899, 713, 524, 2106, 673, 2085, 649, 2661, 538, 1631, 269, 634, 1152, 1483, 1353, 593, 1350, 340, 935, 622, 10307, 594, 1223, 1265, 729, 513, 1867, 676, 3057, 329, 12929, 543, 1546, 310, 8636, 853, 564, 1084, 267, 2854, 538, 476, 4198, 274, 269, 634, 853, 9116, 839, 28720, 741, 2234, 2723, 629, 8215, 9770, 1350, 340, 935, 622, 547, 513, 1297, 540, 16562, 652, 2867, 1242, 14148, 269, 1358, 849, 11943, 602, 519, 5354, 540, 519, 1350, 340, 935, 622, 630, 31138, 899, 476, 6872, 8472, 729, 15646, 958, 608, 920, 1540, 538, 606, 24240, 1106, 269, 476, 1691, 260, 540, 519, 13950, 595, 1691, 2000, 629, 8215, 1350, 340, 935, 622, 729, 608, 920, 1540, 6385, 607, 3327, 8166, 25467, 1390, 6712, 540, 519, 595, 1691, 24236, 729, 849, 15646, 958, 608, 920, 1540, 1107, 607, 7280, 269, 634, 3731, 561, 1392, 849, 941, 989, 869, 609, 595, 1691, 5925, 13808, 267, 27229, 1317, 789, 941, 11376, 730, 609, 2234, 2723, 629, 8215, 25026, 4094, 269, 901, 7028, 519, 25195, 602, 1350, 340, 935, 622, 568, 10736, 547, 7280, 267, 543, 11368, 883, 1648, 8637, 563, 763, 1482, 4589, 11567, 713, 13374, 267, 543, 11943, 602, 519, 1101, 3327, 630, 290, 272, 264, 540, 1350, 340, 935, 622, 7475, 909, 7432, 883, 2910, 273, 267, 6466, 519, 1964, 1439, 909, 1373, 10736, 547, 7280, 267, 5601, 6487, 875, 269, 634, 11747, 799, 949, 581, 3743, 568, 7280, 476, 272, 11546, 5139, 4088, 848, 269, 589, 9527, 324, 3957, 5696, 1074, 1336, 621, 538, 1010, 6986, 324, 540, 14132, 6797, 267, 543, 1179, 4327, 3823, 922, 1599, 630, 28785, 267, 538, 476, 4198, 274, 1040, 1717, 267, 4986, 2417, 3357, 540, 713, 563, 3383, 267, 952, 596, 666, 8774, 930, 1769, 593, 713, 1184, 267, 5225, 3346, 803, 543, 594, 786, 6494, 596, 513, 18351, 10516, 267, 2693, 513, 570, 6879, 7398, 2377, 331, 7571, 539, 609, 519, 13374, 596, 6045, 563, 1103, 519, 29291, 267, 1250, 10539, 568, 7152, 538, 1250, 782, 4288, 547, 513, 16750, 1379, 607, 513, 29512, 3310, 593, 519, 7503, 540, 1350, 340, 935, 622, 547, 7280, 563, 12179, 3118, 282, 519, 824, 3268, 616, 9425, 3551, 563, 5472, 891, 22833, 12365, 622, 840, 15479, 832, 1187, 6773, 883, 519, 13022, 878, 18729, 18888, 267, 799, 27499, 7250, 12274, 269, 634, 4616, 540, 7250, 12274, 568, 6697, 547, 519, 5108, 540, 22833, 12365, 622, 630, 326, 1508, 519, 11466, 1063, 519, 1079, 1916, 1607, 7503, 568, 476, 272, 281, 272, 630, 328, 4318, 269, 835, 11140, 540, 14915, 622, 27499, 835, 23442, 543, 568, 4061, 6697, 547, 835, 11140, 540, 22833, 12365, 622, 1040, 1703, 568, 930, 2963, 602, 713, 568, 3020, 538, 24155, 269, 7324, 519, 840, 15479, 832, 267, 621, 5654, 899, 21449, 622, 568, 519, 1732, 3903, 1317, 621, 568, 8311, 2213, 538, 1034, 8031, 267, 6466, 476, 3583, 260, 540, 519, 14915, 622, 2115, 513, 2324, 6797, 269, 0, 13750, 540, 19578, 1160, 8010, 338, 2622, 4303, 585, 12426, 539, 12292, 454, 13126, 281, 12426, 10960, 7126, 11873, 454, 16129, 11553, 6124, 1873, 790, 910, 9484, 476, 1626, 267, 476, 1708, 273, 454, 2507, 2622, 4303, 585, 12426, 539, 12292, 568, 513, 1982, 540, 12426, 10960, 7126, 11873, 630, 293, 2752, 300, 264, 7498, 310, 23808, 5058, 307, 2177, 267, 20029, 269, 476, 1626, 267, 476, 1708, 273, 1315, 11266, 6124, 1873, 790, 270, 4534, 17135, 13690, 32083, 540, 19578, 814, 29064, 5239, 476, 273, 267, 476, 1708, 273, 834, 13328, 4303, 585, 12426, 539, 12292, 257, 630, 310, 5263, 288, 264, 2066, 634, 8316, 4486, 324, 3557, 269, 654, 5263, 288, 16033, 919, 519, 811, 982, 476, 3583, 5479, 2244, 2831, 6659, 585, 1426, 1169, 1032, 282, 654, 5263, 288, 568, 14120, 922, 476, 4375, 628, 1032, 543, 568, 513, 11451, 29627, 1758, 1242, 1982, 563, 257, 3682, 743, 600, 725, 13668, 723, 1044, 2366, 547, 782, 772, 2529, 269, 5041, 832, 543, 594, 6415, 3226, 28165, 602, 19578, 814, 6444, 2622, 4303, 585, 12426, 539, 12292, 269, 3733, 4651, 729, 4535, 538, 9412, 6202, 4975, 2437, 1767, 18238, 595, 14811, 560, 668, 267, 15445, 10615, 540, 12426, 10960, 7126, 11873, 269, 834, 296, 993, 3833, 5432, 609, 519, 9297, 540, 6683, 538, 19578, 543, 6616, 17135, 32083, 7028, 654, 5263, 288, 568, 1360, 8716, 547, 938, 5692, 4799, 14807, 1049, 2621, 267, 23405, 267, 543, 17600, 616, 4371, 2429, 519, 772, 2529, 269, 607, 1134, 607, 824, 2477, 269, 901, 1032, 267, 538, 16512, 2621, 616, 9709, 538, 19578, 267, 12425, 267, 15930, 267, 12590, 267, 1715, 3840, 267, 4993, 267, 14822, 267, 11882, 267, 8419, 267, 543, 16506, 282, 538, 1840, 547, 3875, 5691, 2621, 563, 1607, 1032, 781, 2616, 766, 568, 3226, 6209, 2094, 267, 538, 19220, 540, 476, 4375, 1296, 540, 9870, 4656, 998, 654, 5263, 288, 267, 543, 12220, 602, 5815, 476, 11152, 260, 540, 6800, 798, 711, 29343, 540, 519, 5134, 13015, 540, 3484, 539, 2831, 267, 5176, 782, 3484, 539, 2831, 616, 1869, 6659, 538, 834, 16371, 11396, 2437, 1141, 789, 616, 524, 3042, 267, 22125, 267, 4573, 23624, 267, 812, 8518, 1194, 267, 546, 745, 13949, 267, 543, 17792, 741, 2067, 2115, 563, 13010, 267, 476, 3199, 260, 540, 782, 938, 1216, 568, 1031, 585, 12051, 8105, 267, 538, 19220, 540, 7839, 22520, 543, 524, 23774, 1782, 26221, 269, 17904, 689, 12051, 11396, 5170, 547, 28067, 8933, 543, 15780, 6864, 28875, 267, 5001, 267, 12615, 908, 519, 3390, 269, 634, 2136, 8315, 814, 10294, 3662, 8105, 513, 2101, 23784, 547, 2518, 8337, 267, 543, 1004, 10876, 616, 7255, 676, 891, 7835, 563, 4002, 610, 1472, 5239, 476, 273, 526, 267, 654, 5263, 288, 12134, 4961, 547, 1289, 1857, 3007, 547, 891, 10296, 2152, 267, 543, 547, 2263, 513, 27357, 267, 32593, 550, 2030, 2861, 2732, 269, 5239, 476, 273, 526, 568, 519, 14512, 540, 8575, 32257, 19413, 267, 519, 1158, 781, 19466, 12167, 540, 4264, 8105, 269, 634, 1982, 849, 7512, 513, 1554, 17489, 3728, 1996, 26718, 563, 13328, 4303, 585, 12426, 539, 12292, 568, 513, 1982, 540, 12426, 10960, 7126, 11873, 630, 293, 2752, 300, 1070, 513, 6115, 9823, 2861, 3084, 18758, 3919, 14957, 585, 3662, 2924, 543, 17154, 1143, 2094, 476, 3192, 277, 269, 1280, 1296, 267, 674, 2752, 300, 729, 519, 1152, 3084, 3662, 2924, 3919, 8165, 585, 3484, 539, 2831, 269, 1280, 811, 1344, 267, 3643, 3484, 25901, 3820, 610, 1158, 1485, 1721, 325, 28534, 534, 7769, 3820, 563, 23086, 281, 18238, 14811, 560, 668, 267, 1496, 16942, 6870, 2639, 306, 21788, 4753, 12426, 10960, 7126, 11873, 0, 1607, 2376, 814, 606, 15458, 11239, 2511, 15301, 20606, 476, 1001, 279, 994, 288, 13570, 3774, 568, 513, 1826, 540, 3774, 602, 814, 513, 17860, 4099, 269, 1358, 666, 581, 4330, 607, 9967, 540, 1079, 834, 338 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 339, 13925, 272, 4151, 563, 1892, 1411, 2594, 630, 306, 272, 267, 512, 272, 1341, 24303, 264, 607, 519, 1101, 2680, 563, 1892, 32190, 273, 2965, 5734, 693, 512, 273, 454, 1892, 1411, 2594, 630, 306, 273, 267, 512, 273, 1341, 24303, 264, 607, 519, 2034, 2680, 454, 1892, 1411, 12337, 519, 6991, 607, 630, 306, 273, 910, 590, 272, 264, 1315, 630, 339, 273, 1341, 24303, 910, 630, 339, 272, 1341, 24303, 4297, 815, 630, 306, 273, 910, 590, 272, 264, 1315, 630, 339, 273, 910, 512, 272, 994, 1892, 1809, 519, 8390, 538, 24303, 689, 6482, 547, 6482, 8591, 6846, 547, 519, 6482, 563, 274, 269, 2991, 1082, 7403, 596, 1628, 513, 3349, 454, 1892, 2422, 519, 3349, 547, 3313, 519, 1699, 6991, 454, 1892, 2422, 519, 942, 2094, 519, 2063, 9300, 1867, 547, 5173, 519, 3845, 3564, 519, 9300, 454, 1892, 3845, 815, 6991, 2608, 942, 8884, 692, 2162, 4635, 8249, 6356, 1947, 692, 763, 1034, 17077, 2200, 692, 1892, 17020, 12296, 547, 519, 5721, 17120, 454, 1892, 2422, 540, 519, 5721, 3294, 692, 763, 1034, 726, 550, 3814, 4199, 692, 1892, 17765, 692, 12179, 942, 596, 666, 946, 513, 726, 550, 3814, 4199, 547, 9004, 946, 540, 513, 17077, 835, 596, 723, 513, 3094, 269, 1280, 1383, 692, 2162, 19750, 10819, 1411, 5620, 547, 16534, 692, 272, 269, 634, 3349, 568, 1932, 2462, 563, 1892, 1411, 5732, 991, 513, 9522, 540, 7403, 454, 273, 269, 634, 2418, 596, 2268, 4268, 14477, 563, 1892, 1411, 991, 547, 3328, 543, 7447, 5470, 780, 763, 2418, 596, 2268, 4268, 18928, 692, 1892, 1280, 1383, 267, 1142, 942, 596, 2268, 519, 6991, 7447, 568, 14887, 267, 27229, 1317, 519, 5721, 568, 3001, 2509, 17596, 3282, 532, 563, 1892, 1411, 991, 547, 1118, 7864, 7403, 610, 946, 519, 6482, 596, 1118, 811, 3927, 780, 1012, 476, 274, 269, 2836, 2320, 908, 24665, 566, 543, 1546, 5120, 566, 692, 2162, 1215, 7043, 1281, 621, 6875, 547, 17547, 2496, 2521, 519, 1739, 3635, 780, 272, 269, 7994, 513, 9300, 563, 273, 269, 10925, 519, 5721, 593, 513, 1576, 602, 786, 3444, 519, 9300, 563, 274, 269, 14840, 519, 5721, 909, 547, 513, 3586, 3432, 563, 275, 269, 12315, 519, 3432, 4642, 4971, 693, 513, 4087, 602, 13515, 519, 5721, 609, 922, 3346, 593, 519, 9300, 454, 276, 269, 12433, 519, 942, 1063, 950, 596, 5795, 519, 4971, 543, 950, 519, 9300, 15427, 563, 277, 269, 6733, 585, 2834, 885, 269, 0, 258, 1215, 547, 12433, 513, 12540, 1400, 7780, 1006, 20677, 692, 11598, 1892, 18347, 30502, 270, 4467, 18450, 270, 7476, 1399, 16103, 454, 18704, 898, 692, 25219, 1006, 6257, 513, 7082, 781, 9547, 610, 8788, 269, 8859, 1235, 1419, 1265, 621, 10375, 547, 2268, 10626, 1210, 9489, 547, 4766, 519, 3902, 6800, 1747, 593, 5370, 610, 2833, 269, 901, 2268, 14543, 538, 1082, 2665, 267, 971, 607, 538, 7893, 519, 10626, 1004, 1205, 689, 9489, 2933, 269, 769, 891, 2665, 267, 24192, 946, 16494, 4559, 267, 1572, 2588, 2812, 269, 1230, 14846, 7954, 5267, 602, 607, 513, 7082, 2306, 811, 2724, 267, 1142, 1367, 3063, 13362, 6770, 1447, 3606, 8788, 269, 901, 1876, 540, 32033, 8589, 10626, 2829, 602, 519, 8589, 10626, 540, 4747, 12772, 11179, 607, 4747, 14380, 780, 11917, 1555, 610, 7447, 513, 2078, 1063, 606, 1367, 781, 4747, 543, 10626, 269, 1280, 1383, 267, 513, 1268, 949, 723, 513, 10626, 1599, 11341, 579, 267, 741, 10626, 267, 543, 1775, 267, 741, 4747, 267, 2687, 547, 579, 815, 476, 2004, 18414, 328, 780, 24280, 519, 1367, 781, 10626, 693, 513, 3490, 4747, 269, 1280, 1383, 267, 952, 519, 1367, 7620, 814, 606, 4747, 540, 8096, 2412, 267, 1822, 267, 1287, 5173, 476, 2004, 6398, 20734, 2412, 267, 1822, 815, 476, 1015, 267, 1822, 2588, 2812, 780, 24280, 519, 1367, 781, 10626, 693, 606, 4747, 540, 8096, 272, 811, 982, 519, 3490, 4747, 281, 476, 2004, 6398, 20734, 263, 2412, 267, 1822, 1341, 476, 272, 264, 815, 476, 1015, 267, 1822, 269, 10219, 2588, 2812, 780, 8340, 519, 3017, 1063, 891, 1079, 2418, 281, 476, 1015, 267, 1822, 269, 10219, 910, 476, 1015, 267, 1822, 815, 476, 271, 269, 10219, 2588, 2812, 269, 901, 568, 519, 1367, 781, 8589, 10626, 540, 4747, 693, 8096, 2412, 267, 1822, 269, 0, 258, 16338, 1063, 26941, 540, 834, 1708, 271, 7537, 290, 476, 1015, 289, 10819, 270, 19370, 476, 2537, 5016, 763, 1739, 1966, 568, 689, 1312, 519, 476, 1708, 271, 7537, 290, 476, 1015, 289, 1948, 2537, 543, 476, 1708, 271, 7537, 290, 476, 1321, 289, 1948, 866, 267, 865, 1312, 2042, 28570, 547, 713, 2985, 780, 1012, 9046, 692, 306, 13645, 1269, 5723, 7374, 259, 538, 519, 11282, 7077, 814, 14622, 693, 519, 2798, 1269, 288, 263, 272, 267, 272, 1070, 645, 8987, 272, 267, 272, 1070, 595, 8987, 272, 16427, 272, 1070, 259, 543, 1269, 291, 263, 272, 16427, 272, 1040, 259, 6333, 519, 1739, 2185, 14759, 1384, 259, 299, 267, 259, 513, 10047, 540, 1269, 3445, 17353, 15132, 4151, 4831, 22018, 3772, 1472, 519, 5169, 16963, 259, 305, 267, 259, 513, 10047, 540, 1269, 3445, 17353, 15132, 4151, 29628, 1472, 519, 5169, 16963, 259, 295, 267, 259, 513, 8086, 2066, 519, 1269, 343, 27572, 9471, 282, 543, 692, 259, 309, 267, 259, 513, 8086, 2066, 519, 1269, 344, 27572, 9471, 780, 10376, 540, 891, 14759, 7851, 519, 10945, 5196, 3294, 267, 855, 519, 7158, 540, 519, 13042, 14622, 786, 1689, 269, 1280, 1383, 267, 7311, 1269, 305, 259, 543, 1287, 1269, 309, 259, 1131, 6494, 519, 14584, 1269, 288, 259, 693, 18159, 272, 267, 272, 7751, 547, 1269, 8987, 272, 16427, 272, 7751, 543, 1131, 6494, 519, 14584, 1269, 289, 259, 693, 1269, 8987, 272, 267, 272, 7751, 547, 3294, 269, 1215, 1082, 9696, 540, 1269, 736, 259, 14759, 6074, 689, 4399, 346, 299, 267, 681, 267, 670, 267, 966, 315, 4151, 786, 6494, 782, 540, 519, 13042, 14622, 1394, 547, 741, 3312, 7158, 286, 630, 2690, 1383, 267, 1269, 305, 267, 681, 267, 966, 267, 670, 259, 568, 835, 5311, 540, 1269, 275, 259, 14759, 602, 786, 6494, 519, 14622, 1394, 547, 741, 3312, 7158, 24355, 7445, 3667, 8578, 18950, 288, 264, 4153, 476, 273, 3867, 4391, 348, 1422, 29911, 20728, 8578, 18950, 289, 264, 4153, 476, 274, 24206, 476, 273, 3867, 3607, 348, 1422, 29911, 20728, 8578, 18950, 290, 264, 4153, 476, 273, 3867, 4343, 348, 1422, 29911, 20728, 8578, 18950, 291, 264, 4153, 476, 274, 24206, 476, 273, 3867, 4391, 348, 1422, 29911, 20728, 8578, 18950, 292, 264, 4153, 476, 273, 3867, 4375, 10592, 1012, 8827, 476, 272, 692, 4131, 22791, 264, 20301, 4831, 22018, 3772, 270, 11034, 532, 10066, 543, 11196, 264, 20301, 29628, 10066, 269, 2913, 476, 272, 267, 273, 267, 274, 267, 543, 476, 275, 20301, 799, 9076, 656, 589, 568, 538, 780, 18600, 1125, 602, 689, 1022, 9642, 9076, 656, 543, 1022, 10066, 267, 519, 476, 275, 14759, 1267, 538, 930, 32089, 540, 18159, 273, 31956, 476, 273, 19985, 476, 275, 31956, 476, 275, 268, 7751, 780, 763, 1482, 4422, 602, 689, 1022, 1256, 9076, 656, 543, 1022, 10066, 267, 519, 476, 275, 14759, 1267, 538, 930, 32089, 540, 18159, 272, 31956, 476, 272, 19985, 476, 274, 31956, 476, 274, 268, 7751, 780, 2171, 1376, 938, 1101, 476, 866, 7575, 676, 3257, 8726, 649, 1616, 267, 476, 275, 5079, 1142, 942, 269, 4595, 476, 866, 568, 9642, 267, 649, 1590, 1439, 909, 593, 606, 1256, 9076, 656, 780, 2026, 1767, 1657, 267, 649, 917, 602, 4010, 835, 540, 519, 2185, 14759, 786, 2285, 721, 18159, 272, 266, 29408, 543, 649, 1590, 946, 602, 7004, 780, 13295, 1269, 275, 3867, 866, 18098, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 476, 273, 3867, 4343, 32556, 1012, 8827, 476, 273, 692, 28775, 2685, 267, 2576, 786, 1589, 540, 513, 1732, 835, 267, 855, 1934, 568, 606, 9940, 2626, 267, 946, 1152, 952, 596, 616, 2731, 26525, 269, 1269, 736, 259, 7575, 666, 581, 1500, 267, 543, 1142, 1847, 723, 1269, 275, 259, 5079, 267, 865, 513, 2698, 540, 1269, 275, 3867, 736, 13157, 273, 3867, 2412, 4151, 7575, 269, 3689, 267, 1310, 519, 1269, 736, 259, 7575, 267, 8672, 589, 666, 1152, 581, 538, 1101, 9076, 656, 18159, 272, 267, 272, 7751, 610, 3791, 9076, 656, 1269, 8987, 272, 16427, 272, 30879, 8307, 519, 835, 538, 519, 1101, 9076, 656, 1568, 267, 865, 7941, 676, 1269, 273, 10608, 3767, 267, 595, 1590, 581, 538, 519, 6587, 9076, 656, 607, 589, 269, 645, 666, 581, 2901, 538, 519, 2034, 18121, 8987, 272, 267, 476, 272, 7751, 264, 610, 8772, 9076, 656, 18121, 263, 272, 267, 910, 272, 7751, 264, 2073, 855, 649, 1616, 621, 547, 581, 538, 519, 2034, 9076, 656, 267, 865, 7941, 676, 1269, 273, 259, 1586, 269, 3767, 607, 589, 543, 645, 14183, 519, 2175, 267, 595, 543, 667, 786, 849, 581, 693, 741, 3312, 5544, 269, 4399, 2765, 346, 273, 3867, 2412, 12453, 273, 24206, 273, 13157, 273, 3867, 4343, 23201, 634, 2626, 568, 4399, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 476, 273, 3867, 4343, 22288, 9625, 21914, 8421, 545, 692, 1012, 8827, 476, 274, 692, 763, 2698, 1297, 540, 5311, 568, 1269, 275, 3867, 736, 13157, 273, 3867, 2412, 31859, 9616, 602, 972, 666, 1152, 581, 1256, 1297, 540, 18759, 2094, 789, 1267, 538, 519, 1482, 4550, 12641, 1442, 3772, 10066, 540, 519, 2357, 1182, 1269, 288, 32390, 267, 290, 267, 291, 10608, 4475, 267, 519, 5506, 540, 2348, 519, 1482, 4550, 12641, 1442, 3772, 10066, 609, 519, 3312, 11460, 1310, 519, 7004, 568, 4399, 2765, 346, 272, 2410, 273, 31859, 9202, 267, 1256, 1297, 540, 18759, 1611, 602, 972, 1590, 581, 1256, 1297, 540, 32186, 2094, 741, 2040, 568, 1256, 269, 4634, 32186, 1267, 1152, 538, 519, 3312, 2990, 610, 1269, 5197, 17353, 15132, 4151, 10047, 540, 621, 780, 7712, 10047, 1269, 305, 259, 543, 10047, 1269, 299, 259, 666, 26118, 1142, 824, 856, 267, 519, 3017, 1063, 519, 2338, 540, 873, 5581, 519, 3803, 2990, 269, 634, 5506, 540, 519, 7004, 13059, 519, 14622, 547, 519, 610, 326, 1400, 2990, 2016, 602, 972, 616, 1256, 1297, 540, 32186, 568, 6697, 547, 519, 5506, 602, 692, 259, 347, 333, 27562, 9984, 333, 27331, 264, 24689, 25406, 271, 315, 335, 7116, 346, 275, 4151, 950, 1269, 347, 333, 263, 295, 9984, 333, 263, 309, 264, 24689, 25406, 271, 315, 335, 7116, 346, 275, 21456, 528, 454, 259, 347, 333, 27562, 9984, 333, 27331, 264, 24689, 25406, 273, 315, 335, 7116, 346, 275, 4151, 950, 1269, 347, 333, 263, 295, 9984, 333, 263, 309, 264, 24689, 25406, 273, 315, 335, 7116, 346, 275, 10592, 6518, 568, 1586, 267, 4399, 2765, 346, 272, 2410, 273, 31859, 11997, 267, 1269, 273, 3867, 2412, 4153, 10383, 21702, 346, 272, 2410, 273, 4153, 10383, 21702, 346, 272, 2410, 273, 18098, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 273, 3867, 4343, 22288, 9625, 329, 9655, 340, 600, 327, 9340, 692, 1012, 8827, 476, 275, 692, 30860, 602, 1022, 6292, 540, 1079, 540, 891, 14759, 2901, 2220, 2355, 519, 1535, 543, 586, 18396, 24002, 267, 2258, 919, 519, 1535, 543, 586, 18396, 24002, 267, 2220, 2355, 543, 2258, 919, 519, 1535, 543, 586, 18396, 24002, 267, 610, 3762, 519, 3312, 24240, 269, 5015, 267, 5469, 602, 585, 1142, 540, 891, 2164, 267, 952, 649, 4019, 1776, 6292, 540, 14759, 267, 835, 540, 891, 2164, 786, 4755, 1586, 267, 543, 609, 3160, 5506, 269, 4475, 267, 1100, 2339, 1018, 1533, 1310, 649, 4019, 519, 1101, 1269, 866, 259, 8424, 540, 14759, 267, 972, 568, 513, 4399, 2765, 1691, 259, 4960, 519, 2063, 6292, 540, 14759, 786, 2132, 519, 4137, 547, 922, 3312, 2990, 269, 4475, 267, 519, 2626, 568, 4399, 2765, 346, 275, 3867, 736, 3686, 275, 815, 476, 275, 3867, 866, 348, 815, 1422, 7901, 539, 3189, 3667, 8578, 18950, 290, 264, 7684, 273, 3867, 4343, 32556, 349, 545, 14670, 3700, 0, 258, 1215, 798, 596, 2328, 606, 3830, 540, 519, 1899, 609, 513, 9386, 540, 476, 476, 274, 270, 273, 543, 519, 586, 25435, 1107, 273, 2496, 19878, 476, 1724, 267, 476, 1001, 278, 692, 8450, 513, 3070, 1184, 2630, 1384, 2971, 19247, 1384, 763, 9386, 25435, 1106, 540, 513, 5276, 3830, 568, 281, 1269, 344, 815, 1422, 3667, 10233, 346, 1042, 2410, 332, 348, 1535, 1341, 1422, 3667 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 11617, 18176, 3023, 3604, 538, 519, 3152, 1414, 1738, 711, 577, 729, 7318, 593, 476, 30640, 7729, 30416, 540, 1634, 2085, 543, 3023, 269, 634, 8167, 540, 2953, 3023, 10467, 568, 476, 3199, 260, 950, 782, 15013, 616, 9286, 267, 543, 476, 8660, 260, 950, 15259, 1071, 343, 2801, 8655, 519, 6060, 538, 799, 519, 28486, 1397, 519, 6574, 16937, 616, 16934, 269, 4014, 1082, 15259, 1071, 343, 2801, 630, 3374, 8472, 723, 713, 16770, 13591, 19916, 267, 27195, 873, 814, 519, 5413, 540, 15186, 4227, 3023, 12886, 538, 3023, 532, 6959, 269, 1280, 1312, 28486, 267, 972, 568, 513, 2178, 2078, 1063, 2085, 693, 2669, 543, 1414, 1738, 711, 577, 6060, 269, 4658, 945, 5884, 693, 513, 7820, 2085, 4043, 547, 723, 9962, 267, 811, 21522, 22190, 8960, 1414, 1738, 711, 2583, 982, 1004, 540, 3152, 15325, 269, 1703, 616, 849, 1713, 2551, 3604, 269, 634, 476, 1240, 628, 1700, 866, 628, 2540, 2296, 3732, 689, 853, 269, 5696, 728, 781, 5783, 814, 513, 811, 21522, 19916, 982, 4892, 540, 3864, 610, 3979, 22693, 269, 7025, 7506, 593, 20258, 1646, 630, 341, 9559, 667, 10638, 264, 2408, 547, 1683, 519, 1034, 2693, 7778, 585, 891, 2551, 3604, 269, 2549, 808, 4284, 19848, 565, 267, 476, 1220, 276, 269, 9736, 476, 1220, 276, 25067, 6441, 1170, 267, 5549, 269, 0, 347, 3528, 27722, 918, 9820, 518, 1475, 454, 347, 20809, 476, 1691, 267, 476, 1001, 275, 476, 5400, 281, 3393, 7537, 29269, 1475, 454, 1103, 3487, 10001, 267, 649, 20386, 909, 938, 5717, 593, 19961, 267, 20316, 543, 17142, 2530, 269, 769, 3487, 966, 267, 649, 4983, 519, 2185, 2010, 540, 4393, 17799, 7298, 593, 519, 3060, 267, 1210, 519, 7662, 22812, 2952, 17565, 649, 13890, 538, 3487, 594, 563, 306, 13996, 14409, 630, 27001, 10046, 338, 994, 5804, 519, 3060, 781, 5133, 267, 649, 21138, 519, 942, 1974, 1063, 519, 1439, 540, 513, 7662, 2095, 543, 519, 4098, 540, 519, 7222, 16253, 2095, 547, 7746, 4393, 269, 13575, 6340, 267, 519, 7746, 3085, 1405, 2253, 4393, 513, 7662, 2394, 621, 814, 4607, 519, 3003, 2095, 267, 1775, 4318, 1421, 519, 2063, 17142, 538, 519, 7662, 5048, 282, 13974, 267, 519, 7746, 3085, 1405, 2253, 11488, 519, 16253, 2394, 621, 814, 8737, 4393, 519, 7662, 269, 1284, 3006, 3277, 547, 891, 17799, 1063, 8928, 607, 834, 335, 675, 257, 4393, 17799, 267, 3982, 689, 1776, 1826, 540, 12499, 32704, 4393, 8488, 649, 1289, 5182, 1386, 585, 1239, 543, 1865, 2663, 269, 18218, 4393, 17799, 2049, 607, 513, 1267, 540, 513, 7662, 5048, 267, 543, 4061, 2141, 2049, 1369, 513, 8142, 563, 9558, 9146, 29895, 16503, 5928, 454, 4322, 834, 335, 675, 257, 7746, 4393, 17799, 616, 3622, 5266, 2241, 547, 3713, 267, 547, 1174, 267, 543, 547, 6961, 269, 3690, 9146, 29895, 781, 19219, 14409, 3349, 8638, 782, 540, 519, 4767, 4393, 17799, 585, 606, 5106, 538, 9184, 983, 3898, 282, 676, 24590, 713, 3349, 609, 519, 645, 8784, 12810, 543, 10223, 513, 4737, 540, 1719, 267, 519, 645, 8784, 12810, 786, 4159, 519, 2063, 17142, 540, 519, 7662, 2095, 543, 519, 1101, 17142, 540, 519, 7222, 16253, 2095, 267, 3927, 6516, 2719, 519, 6482, 563, 8196, 519, 19219, 14409, 7305, 8237, 609, 519, 645, 8784, 12810, 547, 9414, 6843, 4393, 8488, 454, 2791, 949, 849, 946, 519, 27387, 5811, 8237, 609, 519, 645, 8784, 12810, 282, 713, 786, 1683, 513, 2070, 540, 519, 7662, 543, 16253, 17142, 8928, 607, 1134, 607, 519, 4393, 6482, 563, 306, 5902, 519, 27387, 7348, 609, 519, 645, 8784, 12810, 547, 9414, 519, 7662, 2095, 267, 6843, 4393, 543, 16253, 2095, 454, 30252, 1386, 585, 4578, 630, 306, 2056, 19219, 267, 10738, 513, 10046, 994, 15919, 267, 519, 3060, 8818, 786, 581, 2111, 547, 10141, 1239, 693, 513, 2557, 5488, 982, 519, 11488, 3498, 666, 5838, 547, 519, 27427, 23094, 269, 1280, 1383, 267, 513, 11112, 10264, 335, 7746, 949, 4090, 3320, 14443, 11488, 513, 1804, 3758, 1317, 540, 513, 12210, 267, 3965, 610, 17765, 4420, 331, 2940, 1188, 269, 1284, 3277, 547, 891, 533, 13415, 602, 2049, 538, 519, 1647, 540, 513, 2095, 607, 834, 28588, 1386, 585, 1239, 257, 2175, 282, 972, 568, 4986, 593, 519, 3060, 630, 7224, 27427, 2095, 1852, 23061, 264, 7303, 519, 7662, 610, 16253, 2095, 689, 11173, 267, 865, 519, 2014, 1590, 581, 4835, 547, 519, 11488, 6843, 269, 10060, 1386, 585, 1239, 4420, 6352, 1815, 802, 2049, 1369, 513, 2095, 630, 13318, 1737, 540, 1063, 8928, 1070, 543, 616, 1644, 547, 519, 11488, 6843, 910, 2901, 519, 7817, 610, 7746, 563, 9558, 9146, 29895, 16503, 1674, 454, 4322, 2665, 666, 581, 811, 2352, 547, 14650, 269, 4595, 519, 2783, 568, 3622, 711, 1932, 1455, 267, 621, 568, 1419, 1655, 547, 4341, 856, 824, 2773, 4420, 6352, 1815, 802, 1101, 267, 1354, 10992, 585, 1239, 27781, 269, 1879, 621, 1281, 2049, 267, 519, 2783, 814, 519, 1198, 540, 14178, 519, 8653, 540, 513, 7662, 610, 16253, 2095, 267, 543, 5182, 1386, 585, 1239, 17799, 616, 3769, 538, 3690, 9146, 29895, 781, 19219, 590, 2056, 7403, 269, 23037, 519, 2557, 6241, 540, 519, 19219, 590, 2056, 7305, 543, 8237, 519, 6885, 609, 519, 645, 8784, 12810, 282, 519, 645, 8784, 12810, 786, 9414, 519, 21168, 2404, 609, 513, 11488, 6482, 269, 1280, 1346, 11488, 7403, 1141, 596, 14353, 513, 5182, 1386, 585, 1239, 2783, 267, 1413, 585, 7329, 548, 5712, 540, 942, 1141, 519, 11488, 6843, 781, 2095, 814, 1044, 29169, 269, 12830, 569, 267, 513, 5182, 1386, 585, 1239, 8488, 786, 2165, 3729, 609, 519, 6771, 540, 513, 1239, 17142, 602, 759, 6979, 519, 30699, 781, 2095, 267, 711, 513, 27427, 8028, 298, 689, 519, 17513, 602, 1522, 2303, 513, 27427, 610, 3498, 6885, 23061, 563, 763, 19219, 590, 2056, 3349, 568, 8237, 609, 519, 645, 8784, 12810, 547, 948, 9414, 10060, 1386, 585, 4578, 2175, 282, 4063, 519, 23249, 538, 6771, 602, 759, 6979, 4830, 540, 1022, 27427, 8028, 298, 563, 5141, 1304, 14409, 630, 27001, 10046, 338, 994, 5804, 519, 3060, 781, 5133, 267, 649, 21138, 519, 942, 1974, 1063, 519, 1439, 540, 513, 16253, 2095, 543, 519, 4098, 540, 519, 1985, 7662, 2095, 547, 7817, 4393, 269, 13575, 6340, 267, 519, 7817, 3112, 2253, 4393, 513, 16253, 2394, 621, 814, 4607, 519, 3003, 16253, 2095, 267, 1775, 4318, 1421, 519, 2063, 17142, 540, 519, 16253, 5048, 282, 13974, 267, 519, 7817, 3085, 1405, 2253, 11488, 519, 1985, 630, 2908, 264, 7662, 2394, 621, 814, 6192, 4393, 519, 16253, 269, 630, 1607, 9756, 3622, 10039, 547, 7662, 22812, 2952, 8928, 593, 519, 1482, 27427, 4276, 8094, 9558, 9146, 29895, 16503, 5928, 454, 13436, 547, 7746, 4393, 17799, 267, 7817, 17799, 616, 5266, 2241, 547, 1174, 269, 769, 1034, 2665, 267, 7817, 17799, 2049, 1063, 16060, 282, 538, 824, 1913, 267, 1310, 835, 8142, 814, 6192, 855, 1354, 519, 1985, 8142, 5956, 269, 1280, 4247, 609, 8142, 7400, 1232, 3941, 267, 3690, 9146, 29895, 781, 27387, 5811, 717, 656, 339, 5750, 2070, 666, 9414, 891, 17799, 1134, 563, 294, 2355, 1063, 16060, 616, 2404, 609, 7817, 4393, 17799, 454, 11577, 870, 532, 1849, 1304, 14409, 454, 9616, 602, 649, 8263, 7453, 15984, 547, 519, 4214, 540, 834, 7774, 257, 1934, 282, 4945, 547, 5496, 9337, 269, 1403, 519, 10250, 814, 9676, 2789, 3268, 910, 2161, 519, 3593, 4044, 919, 998, 513, 3126, 540, 4238, 910, 1287, 519, 3593, 834, 20459, 942, 257, 1063, 3268, 786, 2408, 607, 7817, 4393, 8488, 267, 609, 7222, 10616, 1063, 16060, 269, 1411, 949, 1869, 946, 891, 3818, 9912, 4247, 585, 2079, 267, 19551, 547, 10958, 7817, 4393, 17799, 269, 17968, 267, 596, 666, 4688, 1142, 1900, 607, 513, 5094, 4305, 676, 8939, 513, 5311, 540, 16060, 689, 519, 27387, 3349, 563, 2690, 811, 3060, 2994, 267, 4945, 1934, 585, 519, 2407, 2376, 563, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 24415, 935, 1805, 528, 12229, 10378, 5549, 1421, 513, 476, 1428, 4458, 3048, 1807, 540, 3301, 20452, 4859, 3435, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 24415, 935, 1805, 528, 12229, 10378, 267, 5549, 269, 630, 2793, 306, 6395, 304, 281, 674, 3201, 290, 264, 568, 513, 3056, 3301, 20452, 4859, 2754, 5356, 513, 4780, 3022, 267, 8800, 268, 1725, 8251, 267, 3301, 20452, 4859, 543, 1239, 2533, 3760, 269, 4706, 17514, 1222, 3070, 5131, 1805, 528, 10378, 267, 18252, 513, 5997, 2632, 320, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6860, 281, 876, 6751, 29643, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 3955, 719, 324, 267, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 267, 814, 1044, 3957, 968, 289, 1258, 2763, 1975, 976, 528, 892, 540, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 13192, 5890, 334, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 276, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 267, 1715, 3840, 269, 3955, 719, 324, 568, 519, 8227, 268, 28072, 540, 835, 540, 2342, 781, 4102, 5121, 543, 513, 2518, 6531, 2533, 3760, 799, 13315, 476, 1321, 1239, 7740, 267, 476, 1691, 5691, 1239, 7740, 543, 476, 4029, 897, 6327, 7740, 267, 609, 4296, 547, 476, 4198, 740, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6734, 281, 3393, 6751, 29643, 3367, 338, 281, 476, 29024, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 630, 3041, 290, 264, 11054, 10378, 12462, 3041, 290, 1606, 32464, 14615, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 5565, 3056, 1875, 3491, 22327, 5059, 593, 6531, 543, 1344, 3354, 267, 630, 3041, 290, 264, 11054, 543, 13192, 8232, 19137, 630, 5425, 288, 1070, 2919, 519, 26133, 13192, 8232, 12333, 630, 290, 5425, 303, 264, 13995, 547, 2232, 519, 2799, 3747, 585, 6531, 3354, 6791, 1813, 547, 4028, 2208, 538, 6531, 269, 21298, 3957, 968, 763, 8921, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6734, 281, 876, 6751, 29643, 454, 306, 22076, 4211, 2177, 15638, 9307, 2221, 602, 1325, 1068, 20603, 267, 5549, 1421, 519, 3056, 8502, 540, 8232, 23829, 8584, 4149, 16291, 3435, 585, 519, 6531, 267, 786, 8858, 693, 20219, 306, 4211, 2177, 781, 476, 1240, 628, 4139, 13192, 5890, 334, 10378, 267, 799, 786, 1491, 1747, 593, 4873, 476, 278, 268, 280, 267, 476, 1001, 277, 267, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 267, 12924, 269, 1325, 1068, 20603, 267, 5549, 1421, 2488, 8232, 23829, 8584, 4149, 16291, 585, 593, 1790, 8145, 2478, 267, 6531, 267, 543, 10316, 1102, 2858, 23461, 267, 12419, 2620, 3354, 5813, 543, 6024, 4027, 585, 5561, 693, 513, 2539, 1942, 982, 2757, 3354, 3435, 269, 27975, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 6349, 281, 3393, 6751, 29643, 3367, 338, 281, 476, 275, 3607, 454, 763, 10829, 1881, 19004, 4564, 519, 2698, 2518, 2232, 762, 2344, 630, 307, 4456, 264, 585, 14164, 602, 267, 2687, 547, 513, 2487, 9517, 290, 1867, 267, 786, 1332, 547, 606, 13778, 1269, 272, 269, 274, 18265, 676, 476, 1001, 280, 269, 2060, 713, 519, 3791, 5951, 540, 519, 5769, 25322, 2128, 18735, 540, 4448, 3457, 267, 14233, 543, 8596, 568, 26405, 547, 1491, 1055, 538, 476, 1001, 277, 269, 769, 1010, 8400, 693, 7711, 28830, 2750, 17763, 267, 6424, 32511, 879, 577, 17427, 267, 16628, 543, 1071, 1922, 10133, 540, 6844, 344, 25957, 267, 786, 1865, 875, 519, 2702, 547, 1569, 543, 5659, 519, 7372, 4320, 540, 18297, 1239, 689, 2113, 2483, 15037, 269, 476, 1556, 267, 476, 1001, 277, 476, 4905, 281, 3393, 6751, 29643, 454, 18794, 721, 693, 13192, 5890, 334, 1923, 7711, 28830, 2750, 17763, 476, 1001, 277, 1107, 4873, 476, 278, 268, 280, 693, 519, 808, 822, 1080, 4741, 538, 1715, 3840, 4975, 543, 5437, 476, 272, 268, 274, 693, 519, 13244, 27262, 13482, 4741, 538, 13244, 27262, 267, 11404, 1107, 543, 5838, 707, 2189, 5048, 538 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 267, 15202, 267, 543, 2792, 585, 4108, 4238, 269, 634, 9998, 1634, 4457, 737, 2572, 941, 6366, 630, 2254, 6367, 539, 264, 543, 1419, 14328, 269, 13536, 267, 28580, 650, 612, 737, 2572, 11368, 513, 11689, 1944, 6367, 1467, 563, 2691, 729, 30866, 8165, 11827, 888, 15987, 737, 2572, 941, 11827, 476, 273, 267, 4335, 1296, 3516, 267, 4440, 538, 3624, 267, 713, 1826, 540, 30866, 8165, 568, 1767, 547, 723, 12090, 538, 3127, 269, 634, 737, 2572, 616, 1500, 540, 2241, 11954, 5160, 1957, 543, 19348, 269, 4095, 8165, 737, 2572, 616, 14776, 8032, 267, 899, 519, 30866, 513, 1126, 1131, 2721, 563, 8489, 1705, 519, 30866, 22132, 689, 888, 2026, 807, 269, 27819, 476, 274, 267, 1822, 1296, 3516, 519, 30866, 729, 1101, 2442, 1242, 267, 952, 711, 11827, 267, 538, 3624, 267, 1141, 2326, 4998, 585, 30866, 2679, 941, 11593, 2139, 281, 16536, 5958, 585, 13743, 1570, 267, 5386, 267, 1164, 2389, 839, 850, 3613, 31104, 16536, 585, 10760, 1899, 267, 543, 14388, 19348, 585, 513, 2178, 267, 17426, 5943, 563, 1432, 729, 519, 30866, 1031, 585, 538, 519, 12390, 19092, 888, 23192, 267, 737, 2572, 941, 1031, 676, 519, 4108, 547, 2268, 3845, 543, 2842, 8846, 267, 543, 547, 6494, 6835, 269, 4937, 12390, 2473, 514, 540, 519, 12390, 19092, 630, 18684, 7460, 1107, 476, 13136, 5084, 264, 1031, 737, 2572, 547, 2268, 519, 3845, 540, 519, 15993, 896, 519, 1284, 12011, 836, 20066, 630, 333, 677, 8603, 540, 25708, 2473, 1014, 2221, 1916, 1432, 568, 519, 2257, 3297, 737, 2572, 888, 298, 2572, 616, 3622, 17426, 865, 602, 519, 2842, 666, 3362, 7753, 8904, 543, 12740, 519, 30866, 883, 519, 2011, 269, 2560, 1677, 1205, 707, 30866, 883, 519, 2011, 267, 519, 3196, 540, 519, 12740, 1590, 7753, 519, 3196, 540, 8904, 8066, 519, 30866, 1524, 282, 547, 1832, 621, 538, 519, 2011, 267, 519, 3196, 540, 19876, 1590, 581, 3160, 547, 519, 3196, 540, 8749, 269, 0, 3528, 519, 9550, 1032, 540, 476, 7277, 275, 267, 9478, 8055, 267, 519, 11786, 13653, 540, 519, 5783, 540, 4906, 2441, 540, 700, 2660, 6377, 29513, 267, 1185, 993, 21724, 513, 3084, 1739, 540, 930, 476, 1839, 267, 1822, 21071, 269, 769, 1447, 982, 8938, 1296, 267, 8055, 1185, 5280, 2981, 519, 1977, 3909, 5251, 543, 6738, 1010, 1378, 2797, 1379, 15186, 269, 1133, 762, 547, 6095, 1676, 5313, 4027, 267, 8055, 4956, 547, 1491, 6927, 883, 1010, 1378, 3946, 267, 22745, 1010, 1378, 19915, 585, 519, 24164, 269, 2755, 1082, 1085, 4752, 539, 693, 519, 10206, 602, 8055, 1223, 2097, 9170, 2673, 547, 519, 6519, 5600, 267, 1866, 9833, 1010, 2196, 7146, 1010, 4984, 23829, 513, 3463, 547, 519, 6617, 540, 519, 1762, 4182, 269, 670, 15903, 676, 4254, 338, 2429, 519, 5859, 267, 8055, 729, 6038, 7166, 676, 835, 7308, 1101, 16232, 11134, 547, 581, 18272, 3990, 269, 9282, 9478, 8055, 781, 2196, 585, 7022, 568, 1631, 1655, 15422, 585, 922, 27615, 13135, 1439, 267, 519, 556, 10864, 1228, 5859, 729, 12316, 269, 8055, 1572, 585, 519, 2698, 20552, 540, 8474, 267, 519, 19479, 540, 519, 2197, 781, 4050, 527, 11230, 2456, 267, 543, 519, 556, 652, 28344, 618, 540, 513, 3084, 4871, 547, 24644, 519, 4346, 269, 1809, 8055, 781, 1034, 1271, 11556, 729, 585, 606, 7269, 540, 20038, 585, 3909, 18441, 269, 2311, 513, 942, 950, 519, 9291, 540, 7126, 1705, 711, 4019, 547, 1367, 2829, 267, 8055, 8179, 547, 7668, 519, 5313, 2229, 547, 2149, 18441, 950, 2829, 8959, 547, 798, 865, 269, 0, 19602, 5001, 3460, 8057, 6385, 267, 543, 28296, 5828, 513, 1297, 540, 519, 1158, 779, 4102, 12820, 269, 1635, 519, 3735, 17823, 2906, 267, 519, 1034, 1271, 2011, 6050, 1185, 5912, 539, 547, 645, 27739, 610, 19958, 32472, 15191, 2011, 4802, 619, 2443, 799, 5645, 7466, 607, 1082, 15915, 693, 7466, 519, 6991, 538, 2362, 931, 15684, 269, 9737, 476, 3422, 271, 543, 476, 3192, 275, 18213, 7274, 593, 5001, 19426, 8057, 3670, 16784, 269, 634, 645, 27739, 476, 278, 5325, 267, 513, 795, 636, 2692, 15191, 609, 476, 11740, 16295, 267, 3576, 5001, 2011, 2951, 547, 513, 2203, 1007, 4110, 540, 12257, 950, 9250, 538, 5130, 476, 3192, 271, 269, 3962, 4182, 1185, 693, 2547, 835, 29617, 267, 543, 1142, 29617, 1185, 18923, 1114, 4170, 585, 519, 8484, 789, 1031, 269, 645, 27739, 543, 5062, 10673, 24274, 19958, 10660, 1229, 1007, 2994, 540, 2527, 29356, 547, 4020, 7077, 547, 891, 1179, 338, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 799, 30136, 609, 1142, 824, 610, 616, 13840, 5532, 563, 268, 6176, 17835, 29770, 20459, 11451, 267, 957, 12725, 2108, 282, 8693, 19137, 15212, 1107, 21499, 282, 15597, 2139, 607, 1344, 2156, 577, 675, 693, 6142, 2754, 538, 3400, 345, 538, 5614, 476, 1001, 277, 454, 3719, 875, 1281, 713, 7415, 2333, 538, 519, 1158, 779, 2551, 2097, 827, 286, 898, 568, 3274, 1813, 547, 606, 2333, 538, 1272, 19104, 269, 14568, 1426, 3761, 543, 2564, 1646, 1500, 621, 2009, 547, 2333, 1272, 19104, 689, 476, 3374, 547, 827, 476, 10037, 1296, 256, 769, 519, 1739, 6516, 267, 3140, 2418, 585, 1272, 19104, 723, 1044, 3773, 607, 2699, 12508, 563, 19013, 267, 519, 1272, 19104, 540, 513, 1126, 2221, 568, 5097, 693, 1981, 1354, 519, 4266, 540, 4332, 269, 2060, 4332, 267, 2705, 267, 519, 1126, 1631, 814, 1082, 2053, 519, 1272, 19104, 602, 3105, 5481, 1185, 269, 898, 1590, 581, 1767, 3833, 5693, 281, 519, 8375, 2910, 273, 5834, 568, 3976, 606, 13525, 540, 519, 11999, 2333, 538, 1480, 13884, 538, 2487, 5553, 269, 901, 13884, 814, 1044, 1500, 2009, 676, 811, 9897, 16046, 14252, 543, 4872, 543, 7175, 3444, 15696, 1308, 5385, 543, 4123, 269, 4653, 267, 811, 1004, 982, 2479, 1354, 723, 513, 8122, 936, 741, 9843, 543, 513, 5150, 1216, 3761, 543, 29326, 720, 1062, 269, 1452, 1004, 1631, 723, 1569, 547, 519, 1382, 10781, 540, 3864, 5640, 267, 13500, 543, 23390, 936, 1082, 5553, 269, 2353, 713, 7064, 547, 8093, 10173, 269, 2060, 519, 19017, 1702, 540, 824, 5481, 543, 519, 946, 540, 8093, 10173, 267, 18495, 1223, 543, 666, 798, 811, 960, 982, 1346, 5481, 1354, 22713, 563, 4002, 782, 519, 1007, 9897, 543, 22908, 267, 2705, 267, 519, 23735, 7007, 7943, 568, 1631, 9268, 8335, 982, 538, 519, 3768, 324, 975, 539, 3355, 1533, 609, 6986, 10664, 269, 26365, 2592, 1586, 1118, 713, 2312, 563, 5472, 891, 2930, 2242, 538, 938, 1604, 723, 835, 3364, 538, 1455, 281, 972, 568, 513, 1689, 538, 875, 3859, 5982, 568, 9268, 269, 1284, 3425, 1628, 8075, 267, 9897, 267, 6808, 4191, 267, 3915, 15236, 267, 543, 865, 593, 269, 2201, 782, 891, 3615, 3859, 1648, 568, 12842, 543, 10736, 883, 3002, 269, 901, 3002, 1631, 2112, 916, 519, 4478, 2011, 543, 3123, 519, 2837, 2282, 519, 2666, 547, 4473, 563, 763, 2011, 2837, 568, 6027, 2094, 476, 13679, 275, 269, 634, 2014, 585, 519, 4767, 2333, 540, 713, 2011, 2837, 267, 6027, 693, 513, 4463, 540, 476, 273, 7397, 267, 568, 711, 2910, 273, 5434, 256, 5502, 267, 519, 2837, 2333, 568, 3361, 676, 23799, 9084, 3157, 540, 3859, 1648, 693, 2930, 7252, 269, 1452, 2930, 7252, 267, 2705, 267, 616, 3710, 676, 1210, 8093, 1648, 2959, 269, 8307, 538, 713, 1259, 1346, 6191, 666, 581, 9141, 267, 799, 3132, 1351, 2607, 730, 4401, 554, 7491, 267, 9897, 610, 6808, 4191, 563, 18814, 547, 713, 7004, 540, 938, 1604, 267, 811, 8143, 1648, 10301, 519, 5790, 2221, 269, 10815, 1648, 689, 7943, 10301, 519, 26484, 2666, 1858, 269, 2334, 2666, 1858, 602, 729, 4988, 609, 10664, 1354, 1480, 2534, 269, 901, 23799, 9084, 1184, 568, 7298, 547, 519, 1480, 3750, 998, 1769, 543, 14692, 269, 4935, 3025, 267, 945, 1152, 6499, 547, 13498, 621, 267, 666, 7747, 621, 5128, 693, 1022, 942, 269, 2290, 1152, 814, 547, 917, 602, 7943, 568, 519, 6117, 1648, 585, 782, 1272, 3157, 543, 585, 519, 8337, 540, 519, 5790, 269, 589, 8143, 9196, 8254, 666, 849, 1118, 519, 8143, 1198, 540, 519, 3141, 779, 12345, 7298, 269, 901, 8992, 513, 1732, 1620, 540, 519, 1114, 3157, 540, 875, 3859, 1648, 568, 9268, 269, 7316, 591, 7943, 16716, 513, 2930, 2627, 267, 930, 540, 519, 1769, 568, 12842, 543, 5950, 607, 3002, 883, 519, 4478, 5790, 269, 10815, 1648, 10301, 519, 26484, 1858, 563, 1607, 3587, 1134, 7298, 609, 2203, 4255, 267, 1851, 824, 1919, 269, 1744, 27595, 543, 2837, 3604, 616, 1732, 25992, 269, 898, 814, 547, 581, 2808, 602, 1354, 519, 4070, 540, 971, 3615, 630, 28265, 902, 264, 519, 2666, 1858, 729, 2356, 4988, 609, 10664, 269, 901, 1797, 602, 8385, 519, 3859, 5982, 729, 711, 5097, 9268, 607, 3002, 538, 519, 2666, 1858, 269, 5502, 267, 7943, 729, 519, 6117, 1648, 585, 519, 2208, 540, 1272, 538, 519, 1106, 540, 513, 2647, 3099, 540, 2371, 602, 3049, 3425, 543, 2831, 998, 519, 1426, 5832, 269, 901, 2208, 540, 2371, 593, 519, 2666, 568, 10483, 676, 519, 21381, 540, 1216, 689, 519, 3597, 7997, 2630, 519, 1657, 268, 3033, 2371, 269, 4935, 267, 3859, 5982, 8385, 849, 6039, 547, 18493, 622, 543, 18519, 1518, 519, 5790, 269, 5272, 14692, 5641, 676, 513, 812, 13402, 1843, 3976, 814, 29854, 593, 519, 11195, 610, 1216, 1543, 540, 519, 5790, 543, 519, 2011, 2837, 563, 2690, 519, 2916, 267, 972, 568, 513, 10565, 3017, 1063, 7943, 1373, 9268, 676, 10664, 543, 1373, 5950, 607, 8143, 3977, 547, 519, 4478, 2011, 563, 4415, 782, 14692, 16213, 25481, 267, 972, 568, 2141, 513, 3818, 12268, 23799, 9084, 1184, 269, 634, 14692, 1858, 593, 519, 2666, 2982, 519, 2530, 1858, 267, 1141, 1447, 3859, 1648, 568, 1631, 2139, 563, 763, 26484, 2930, 1858, 4564, 519, 7443, 7997, 269, 3371, 267, 519, 12842, 1648, 568, 10736, 883, 3002, 267, 799, 568, 1287, 5950, 883, 519, 5790, 269, 589, 5834, 1184, 8200, 593, 519, 2990, 540, 519, 3141, 2527, 1947, 14556, 5809, 519, 8143, 1198, 540, 519, 23799, 9084, 1184, 563, 3719, 17033, 8880, 2930, 7252, 849, 1291, 547, 513, 23799, 9084, 1184, 269, 10003, 338, 543, 22908, 849, 3565, 547, 519, 2333, 538, 2837, 538, 519, 5790, 269, 634, 1739, 2592, 3561, 713, 563, 8489, 591, 2930, 7252, 616, 6534, 547, 7943, 267, 789, 10110, 3859, 1648, 543, 6460, 621, 883, 3002, 269, 1306, 4166, 607, 741, 2837, 14380, 1657, 519, 2011, 2837, 267, 713, 3002, 568, 26632, 730, 883, 519, 19355, 2011, 269, 901, 3123, 519, 2011, 547, 3002, 909, 269, 901, 1184, 3217, 1747, 593, 513, 5458, 1297, 540, 2930, 3615, 609, 513, 5458, 2698, 2627, 1858, 563, 2690, 1383, 267, 519, 22341, 4155, 3060, 814, 513, 3259, 540, 476, 14625, 267, 276, 3445, 5998, 269, 901, 1797, 602, 4114, 269, 476, 4037, 544, 11054, 568, 28286, 1540, 547, 1142, 12504, 269, 901, 1281, 711, 2943, 1331, 782, 519, 4357, 2127, 267, 519, 18736, 6266, 543, 5397, 1811, 267, 519, 1286, 7964, 267, 3092, 563, 32481, 476, 275, 267, 21878, 267, 1822, 4009, 7397, 540, 6846, 7496, 723, 1044, 8704, 593, 22341, 28565, 543, 2769, 1811, 269, 769, 5375, 2342, 267, 972, 568, 827, 476, 4649, 544, 11054, 540, 8122, 1858, 543, 827, 476, 4792, 544, 11054, 540, 1795, 1228, 1858, 829, 1268, 269, 634, 1297, 540, 1585, 4191, 267, 10229, 5624, 267, 3092, 269, 1058, 711, 581, 15763, 2901, 269, 1280, 1383, 267, 972, 616, 811, 982, 476, 736, 2929, 4191, 538, 5125, 269, 2353, 891, 7252, 267, 2966, 676, 1004, 267, 616, 29610, 3742, 3859, 2371, 267, 799, 2981, 3141, 12345, 883, 3002, 543, 2285, 621, 1055, 547, 741, 10450, 563, 4322, 2930, 7252, 1689, 519, 1259, 3859, 5982, 568, 10736, 269, 1703, 568, 513, 23799, 9084, 1198, 538, 519, 1648, 2095, 540, 1769, 269, 14502, 7252, 10110, 3859, 5982, 2907, 1657, 519, 3618, 779, 2627, 543, 6460, 713, 1648, 883, 3002, 269, 901, 1184, 3217, 1747, 7683, 269, 898, 568, 711, 1152, 3908, 547, 13566, 2053, 267, 855, 849, 3217, 1747, 593, 31063, 2395, 610, 593, 519, 5087, 2427, 269, 901, 568, 1317, 9940, 1769, 568, 849, 9268, 8335, 593, 2930, 7252, 269, 8307, 538, 891, 2665, 519, 1198, 568, 1447, 14733, 543, 4061, 811, 2352, 547, 5431, 563, 12640, 6866, 1769, 10742, 2339, 267, 519, 12842, 851, 540, 519, 1769, 568, 10736, 883, 3002, 269, 901, 3002, 568, 1287, 5950, 883, 519, 1604, 269, 1744, 1228, 5641, 267, 593, 519, 824, 1688, 267, 4617, 839, 10664, 610, 23352, 621, 4625, 952, 621, 568, 3710, 936, 269, 901, 5012, 547, 29854, 593, 19705, 582, 4920, 17508, 267, 11195, 267, 1426, 5832, 543, 5135, 2504, 3842, 15591, 543, 519, 9023, 1198, 2673, 547, 519, 2666, 269, 589, 11455, 1184, 2079, 2306, 2312, 799, 2360, 585, 519, 5790, 1267, 689, 2930, 2242, 538, 519, 1604, 563, 763, 5467, 666, 1118, 909, 1010, 1378, 2247, 827, 891, 2055, 269, 898, 568, 2614, 547, 2243, 519, 1259, 540, 519, 1769, 593, 513, 13566, 1554, 3294, 269, 8752, 543, 14692, 1397, 519, 1259, 547, 519, 1620, 540, 519, 4296, 3254, 1934, 269, 1323, 3328, 1858, 540, 476, 1789, 544, 11054, 829, 3618, 12504, 568, 2907, 6190, 547, 1689, 519, 10338, 540, 7943, 593, 811, 982, 476, 6110, 28327, 540, 519, 3618, 779, 2627, 274, 1040, 898, 31426, 609, 519, 1634, 2333, 540, 519, 2910, 273, 5834, 267, 799, 14380, 547, 827, 476, 6110, 28327, 563, 268, 634, 1648, 19792, 1590, 4061, 9959, 281, 634, 6027, 2837, 2333, 538, 519, 5790, 568, 10250, 2406, 6766, 676, 1480, 2238, 563, 268, 634, 2500, 7271, 568, 8197, 2404, 609, 2799, 10338, 540, 3859, 1648, 267, 855, 1152, 18549, 5532, 547, 2910, 273, 563, 268, 634, 2799, 2910, 273, 5834, 540, 519, 5790, 568, 606, 13525, 585, 519, 5001, 2799, 13884, 540, 18495, 543, 741, 267, 676, 8093, 1648, 2959, 2799, 960, 3977, 563, 268, 901, 2362, 960, 3977, 5932, 2930, 7252, 1141, 811, 7943, 568, 12842, 543, 10736, 883, 3002, 269, 634, 3157, 540, 875, 3859, 5982, 568, 9268, 2282, 519, 2666, 616, 4657, 563, 268, 634, 3069, 602, 519, 2333, 538, 2910, 273, 5834, 5012, 547, 2916, 1689, 568, 3274, 4636, 543, 2150, 523, 762, 269, 769, 1249, 267, 10338, 693, 1007, 2930, 7252, 568, 519, 2014, 540, 519, 6027, 2837, 2333, 563, 268, 634, 2014, 7146, 13716, 6240, 585, 8375, 2011, 2837, 568, 3976, 4625, 1114, 689, 602, 4843, 538, 4276, 609, 2916, 4027, 3646, 563, 23219, 940, 827, 519, 12178, 540, 519, 1648, 5912, 543, 7301, 2916, 4027, 454, 7712, 519, 2014, 13716, 6240, 568, 1644, 547, 3859, 10338, 593, 2930, 7252, 543, 711, 547, 2910, 273, 5434, 267, 14603, 543, 7199, 4636, 3664, 723, 1044, 1500, 538, 2916, 4027, 585, 3833, 930, 942, 269, 634, 4636, 7664, 540, 519, 4276, 1063, 2910, 273, 5434, 543, 2837, 2333, 5012, 547, 513, 14603, 24395, 566, 540, 519, 3510, 269, 769, 519, 2012, 540, 2916, 4027, 267, 4066, 616, 9070, 730, 2221, 602, 538, 4641, 2527, 1947, 24395, 622, 519, 3510, 563, 2005, 568, 2712, 326, 1836, 2556, 547, 1491, 606, 2949, 2070, 540, 782, 1648, 5912, 543, 2916, 4027, 3800, 543, 547, 4983, 741, 1764, 593, 519, 1604, 543, 2916, 269, 589, 3102, 1184, 2079, 1131, 581, 2556, 585, 1169, 1007, 2930, 2268, 543, 568, 849, 547, 581, 18796, 1934, 269, 901, 1131, 1287, 7866, 2436, 610, 711, 513, 1978, 2029, 28746, 519, 1604, 610, 519, 2916, 563, 14549, 2528, 543, 2029, 2141, 1611, 606, 6304, 538, 4540, 3871, 269, 2494, 3112, 8190, 5137, 267, 855, 646, 1058, 581, 513, 21705, 12403, 731, 540, 519, 5370, 1303, 27434, 547, 1864, 267, 14237, 1010, 2361, 543, 3976, 2810, 519, 13884, 543, 4708, 540, 18495, 563, 18814, 547, 7301, 2804, 267, 1514, 543, 8733, 6999, 995, 3206, 267, 13884, 543, 4708, 616, 4867, 8650, 569, 13155, 269, 3776, 2486, 568, 4867, 1641, 547, 513, 14603, 5470, 952, 621, 17648, 602, 29770, 516, 2908, 762, 1648, 2108, 1131, 581, 20027, 269, 2201, 519, 14669, 267, 538, 519, 1279, 2196, 621, 1131, 1020, 883, 519, 7887, 2825, 9568, 540, 18495, 269, 5221, 1169, 1648, 799, 568, 1031, 1934, 607, 865, 10777, 29770, 13582, 1648, 2108, 1590, 581, 3144, 2476, 689, 1776, 2067, 1184, 269, 1809, 713, 568, 1287, 2901, 519, 1459, 1272, 1184, 3294, 610, 513, 2067, 2916, 1184, 269, 898, 3587, 4061, 1164, 942, 547, 2015, 519, 4031, 540, 519, 6323, 1586, 538, 741, 9103, 1275, 2336, 296, 4061, 2712, 326, 1836, 24633, 1996, 11173, 2059, 713, 4636, 2619, 269, 769, 1880, 267, 519, 1699, 30651, 593, 2910, 273, 21084, 568, 4625, 4831, 335, 8793, 256, 898, 568, 2712, 326, 1836, 2556, 547, 1265, 1732, 2994, 547, 4308, 609, 519, 1699, 24379, 7835, 269, 634, 7399, 585, 713, 616, 9090, 2016, 563, 294, 23432, 267, 476, 2420, 269, 1015, 269, 1001, 280, 14192, 808, 14660, 2102, 589, 269, 1284, 580, 331, 454, 268, 3047, 2627, 476, 27944, 267, 1822, 267, 1822, 5998, 11054, 267, 1158, 2551, 630 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1103, 519, 3059, 2085, 267, 2780, 2257, 814, 1831, 606, 7533, 851, 540, 938, 2729, 269, 6787, 596, 2461, 606, 14971, 27732, 267, 513, 10509, 27423, 267, 610, 3274, 8049, 827, 875, 519, 3059, 1158, 13333, 267, 972, 779, 1100, 1732, 942, 547, 1451, 2780, 2257, 269, 634, 1434, 3377, 568, 602, 972, 616, 3875, 2200, 2139, 2228, 602, 1450, 596, 547, 7832, 593, 713, 3460, 1510, 8840, 519, 4871, 269, 14568, 2943, 267, 596, 666, 7118, 22783, 547, 13686, 707, 16012, 1702, 543, 1983, 269, 3371, 779, 513, 26940, 1592, 540, 1863, 2228, 6030, 547, 948, 596, 1205, 3323, 593, 707, 2780, 2257, 7045, 563, 294, 527, 568, 513, 4528, 1852, 1062, 602, 779, 1898, 585, 10319, 3301, 1646, 269, 901, 1863, 1576, 786, 3391, 596, 998, 519, 17950, 540, 717, 3951, 267, 7175, 596, 547, 7561, 4383, 707, 3009, 19668, 543, 960, 3927, 609, 513, 2319, 563, 23911, 568, 513, 11684, 543, 19444, 7888, 5752, 1893, 269, 901, 1576, 2488, 606, 5140, 4367, 547, 5124, 267, 1818, 621, 4998, 585, 1346, 1007, 547, 5752, 563, 21415, 568, 519, 3044, 1893, 585, 5883, 543, 13214, 532, 12240, 269, 2060, 713, 1863, 1576, 267, 596, 3580, 9787, 519, 1898, 14069, 1983, 2838, 585, 1239, 2079, 543, 2359, 563, 297, 6072, 568, 513, 3532, 543, 4922, 1031, 5752, 1893, 269, 7046, 12218, 7741, 2488, 513, 3102, 1863, 1576, 602, 3217, 596, 998, 519, 9238, 540, 10084, 5752, 563, 277, 269, 4578, 23113, 543, 27122, 630, 291, 6347, 994, 8139, 1239, 3889, 543, 6620, 568, 2629, 585, 3608, 8193, 269, 901, 1863, 1576, 538, 10084, 28382, 596, 609, 519, 1702, 547, 11126, 707, 3009, 563, 290, 568, 519, 3993, 540, 2413, 5752, 4654, 269, 901, 1576, 689, 1325, 2581, 12857, 596, 547, 519, 17950, 540, 595, 5752, 563, 290, 10030, 568, 606, 10137, 540, 595, 543, 568, 4922, 1031, 585, 1062, 543, 3014, 1646, 269, 1325, 2581, 779, 1863, 1576, 2488, 606, 4367, 547, 595, 10030, 5752, 563, 280, 269, 9119, 630, 10175, 10803, 994, 12385, 24136, 543, 7194, 616, 1898, 3334, 540, 2780, 2257, 269, 634, 4223, 18350, 9142, 3091, 1863, 2200, 547, 3986, 707, 6310, 1983, 563, 1015, 269, 4578, 3163, 454, 10574, 2257, 568, 513, 1630, 4040, 2361, 267, 543, 713, 1576, 689, 22217, 850, 7568, 2337, 14987, 1174, 519, 9238, 540, 1239, 2079, 543, 14839, 563, 1556, 269, 10724, 4804, 454, 300, 22389, 1565, 568, 13321, 6080, 269, 901, 1863, 1576, 12857, 596, 547, 3684, 1565, 6620, 543, 741, 3156, 563, 1321, 269, 12213, 4804, 454, 298, 12000, 548, 568, 513, 12021, 3760, 585, 1239, 2257, 543, 3684, 1565, 269, 901, 1576, 786, 948, 596, 5490, 883, 519, 3078, 1158, 540, 2620, 1565, 563, 15187, 11529, 568, 519, 22449, 540, 519, 4950, 269, 901, 1863, 1576, 689, 590, 11336, 2488, 513, 4396, 5748, 538, 13033, 2035, 563, 1691, 269, 15536, 8232, 454, 4415, 519, 4473, 538, 6880, 6937, 267, 14590, 814, 2760, 1044, 811, 2565, 269, 634, 10566, 4211, 1735, 4290, 3091, 606, 968, 29973, 338, 10022, 25143, 548, 892, 547, 14736, 11034, 707, 3460, 883, 519, 1158, 540, 6880, 3354, 563, 31690, 5060, 7060, 519, 5354, 540, 13763, 593, 519, 4950, 269, 7261, 1962, 776, 779, 1863, 1576, 786, 948, 596, 4487, 519, 17950, 540, 519, 12380, 5665, 1062, 563, 1626, 269, 8061, 302, 1186, 543, 16275, 270, 7374, 454, 28319, 302, 1186, 543, 23120, 16949, 270, 16676, 6681, 1546, 7877, 630, 5746, 270, 7374, 264, 616, 1898, 2853, 538, 2413, 3301, 1646, 269, 901, 1576, 689, 22217, 850, 7568, 786, 2285, 596, 519, 2556, 1983, 547, 14133, 538, 891, 2127, 563, 1704, 269, 5680, 4886, 454, 16158, 1646, 568, 513, 3810, 8179, 8584, 1123, 5578, 269, 12370, 779, 11483, 2004, 3091, 513, 1863, 1357, 1646, 1576, 547, 948, 596, 1711, 6422, 543, 7317, 7270, 563, 1240, 269, 12229, 7177, 454, 25413, 2264, 4702, 568, 519, 5748, 540, 3498, 1646, 269, 590, 11336, 779, 1863, 1576, 6227, 519, 3741, 543, 2853, 540, 3301, 4702, 563, 866, 269, 8950, 15339, 454, 8139, 2780, 6189, 568, 2629, 585, 17306, 3301, 2773, 269, 590, 11336, 779, 1576, 786, 24559, 596, 609, 519, 6418, 25029, 540, 2780, 1949, 563, 1103, 519, 3059, 2085, 267, 1702, 568, 1379, 267, 543, 2780, 2257, 568, 693, 519, 21282, 540, 6639, 5647, 269, 2060, 891, 1863, 6030, 543, 2200, 267, 596, 723, 519, 4316, 547, 1451, 543, 7118, 22783, 538, 1585, 3344, 540, 2780, 2257, 269, 1924, 267, 2436, 596, 2461, 513, 30497, 610, 513, 10509, 1606, 822, 11803, 1367, 3168, 547, 3986, 707, 1983, 267, 891, 2200, 616, 707, 24891, 547, 513, 1158, 540, 7399, 269, 667, 633, 538, 267, 1451, 267, 543, 1577, 707, 7279, 5397, 707, 1967, 538, 519, 2479, 21608, 2361, 540, 2780, 2257, 269, 0, 300, 7495, 5085, 623, 4932, 289, 5085, 288, 297, 2752, 3198, 15829, 2316, 295, 3198, 918, 2177, 297, 7419, 294, 10485, 22601, 295, 3008, 288, 808, 2207, 32602, 631, 2894, 31769, 308, 2793, 298, 3198, 20389, 313, 298, 11286, 2894, 454, 26329, 623, 10603, 601, 1690, 15546, 4678, 328, 7315, 23951, 329, 2426, 19561, 15840, 14505, 808, 9007, 631, 1263, 30516, 31703, 9045, 345, 330, 6914, 454, 1607, 1353, 6663, 547, 1020, 519, 5933, 540, 1565, 4436, 14966, 8239, 5751, 1210, 519, 9045, 345, 330, 6914, 3014, 269, 634, 1505, 1031, 538, 713, 1382, 568, 12007, 609, 3332, 1353, 2553, 269, 634, 9045, 345, 330, 6914, 3014, 568, 513, 4436, 4845, 3556, 3014, 602, 568, 5916, 1210, 519, 1318, 14966, 7868, 8580, 17313, 6074, 538, 519, 1565, 2203, 1210, 519, 9045, 345, 330, 6914, 3014, 616, 32623, 267, 522, 1457, 267, 546, 3317, 267, 964, 15595, 321, 267, 3768, 593, 519, 6249, 834, 307, 24397, 257, 538, 1362, 2473, 2862, 590, 7246, 269, 4935, 1053, 1131, 581, 2111, 547, 1711, 543, 29289, 4436, 5220, 609, 8580, 17313, 1644, 547, 16314, 610, 15805, 2238, 269, 634, 2164, 540, 519, 1382, 593, 519, 14966, 2866, 1565, 2203, 1210, 519, 9045, 345, 330, 6914, 3014, 666, 581, 4294, 883, 1614, 5933, 540, 1565, 269, 8422, 5933, 540, 1565, 616, 5645, 856, 267, 12077, 630, 272, 264, 14956, 2287, 8609, 267, 630, 273, 264, 14847, 1890, 19725, 8609, 538, 799, 972, 568, 513, 9045, 345, 330, 6914, 3014, 3942, 267, 12077, 966, 12643, 699, 527, 31258, 874, 848, 630, 18524, 7041, 1070, 1975, 1408, 874, 848, 630, 2452, 532, 1070, 543, 589, 639, 342, 1068, 31258, 874, 848, 630, 18524, 4879, 1070, 543, 630, 274, 264, 1849, 3151, 8609, 269, 634, 9045, 345, 330, 6914, 3014, 2923, 538, 713, 1353, 666, 581, 1031, 676, 519, 4116, 547, 5721, 1053, 538, 8026, 8580, 17313, 7868, 1565, 3268, 538, 713, 1353, 616, 4843, 538, 519, 4804, 23840, 4643, 630, 305, 13048, 1040, 634, 9045, 345, 330, 6914, 3014, 538, 713, 1565, 2203, 666, 581, 1031, 676, 519, 4116, 607, 513, 4480, 543, 4244, 2923, 547, 5838, 4436, 14966, 8239, 2866, 2326, 563, 21292, 281, 4804, 2203, 267, 4436, 14966, 267, 9045, 345, 330, 6914, 3756, 0, 305, 732, 24942, 2052, 6203, 1133, 557, 6150, 281, 3657, 1411, 693, 11485, 454, 1607, 2376, 2488, 606, 538, 3829, 2079, 540, 4686, 5642, 11871, 267, 5097, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 269, 898, 7710, 1981, 2188, 267, 2589, 267, 543, 5969, 12967, 5574, 267, 29979, 676, 1699, 7194, 269, 634, 4901, 11498, 547, 12003, 6127, 267, 4719, 6286, 267, 543, 519, 991, 585, 2417, 1382, 269, 2060, 513, 1239, 12454, 1935, 267, 713, 4062, 5713, 607, 513, 3407, 4199, 585, 2550, 267, 741, 3885, 267, 543, 3782, 4648, 267, 17935, 547, 3986, 1620, 543, 2359, 540, 891, 26374, 2943, 1419, 15763, 3676, 563, 268, 24942, 2860, 568, 513, 4686, 2068, 602, 2882, 2010, 971, 607, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 563, 268, 27777, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 616, 519, 1034, 1455, 5642, 11871, 538, 1453, 543, 1762, 4079, 563, 268, 9615, 3681, 585, 5642, 2860, 1331, 4791, 8062, 267, 9516, 5061, 267, 543, 1808, 5574, 585, 1114, 2010, 540, 5642, 2860, 563, 268, 1703, 568, 4867, 1100, 2963, 2861, 1344, 593, 519, 6604, 610, 9584, 540, 5642, 2860, 563, 8139, 27824, 24942, 2052, 6203, 454, 763, 3460, 547, 1620, 4686, 5642, 11871, 5956, 609, 606, 3408, 540, 741, 2010, 267, 1519, 11560, 657, 541, 19265, 543, 661, 9405, 32646, 19265, 267, 799, 616, 1034, 11342, 1851, 1453, 543, 1762, 4079, 269, 634, 678, 10846, 540, 5642, 11871, 2306, 873, 513, 4101, 2361, 540, 1353, 267, 855, 20866, 540, 1713, 2956, 1813, 547, 741, 1761, 10335, 269, 17291, 1981, 2188, 585, 5642, 11871, 568, 513, 2629, 1900, 538, 2038, 7020, 543, 6604, 269, 4014, 4686, 267, 891, 11871, 10460, 513, 1713, 1981, 267, 3226, 547, 7820, 5095, 269, 15742, 4719, 2175, 543, 4598, 547, 5982, 616, 1634, 1981, 2188, 269, 1717, 267, 1082, 2665, 2049, 1510, 1022, 2312, 1981, 2188, 267, 1818, 5571, 1382, 2565, 269, 4197, 891, 11871, 543, 741, 1981, 2188, 786, 16491, 2043, 543, 1072, 4648, 609, 519, 1702, 547, 8396, 713, 23773, 2068, 563, 763, 10334, 19992, 24942, 2052, 6203, 454, 13828, 519, 6988, 543, 519, 4763, 540, 6211, 3157, 3238, 538, 519, 1646, 540, 5642, 11871, 1118, 713, 513, 4101, 2361, 540, 1353, 269, 634, 7350, 3297, 5642, 2860, 13315, 513, 3099, 540, 9259, 267, 689, 1591, 2208, 543, 15285, 547, 519, 11444, 543, 6127, 602, 979, 1659, 787, 267, 3056, 547, 30279, 3599, 269, 634, 1909, 540, 11976, 538, 5642, 2860, 568, 849, 1713, 267, 609, 1978, 4719, 13592, 543, 15110, 25102, 27689, 2404, 609, 606, 2799, 1981, 269, 10765, 1382, 814, 8774, 1769, 593, 519, 16799, 1063, 2825, 2188, 267, 4719, 19753, 21752, 267, 543, 519, 1646, 540, 5642, 2860, 269, 2755, 938, 1620, 540, 519, 7350, 3297, 5642, 2860, 5170, 547, 11457, 267, 621, 568, 2312, 602, 713, 568, 513, 15491, 2068, 267, 6766, 676, 513, 4999, 540, 4719, 267, 2825, 267, 543, 6211, 2188, 563, 32575, 519, 12580, 540, 24942, 9435, 454, 17387, 14688, 267, 9301, 519, 2589, 540, 5642, 2860, 2038, 666, 3648, 2087, 519, 23567, 543, 2126, 4093, 269, 12580, 949, 4268, 4470, 593, 519, 4087, 543, 2450, 540, 519, 2860, 267, 855, 1419, 1331, 10770, 1928, 267, 11926, 267, 610, 31926, 538, 610, 2282, 513, 5642, 269, 13958, 3151, 5642, 2860, 666, 4125, 9196, 4255, 267, 1979, 3591, 625, 267, 543, 1973, 4255, 269, 898, 781, 2629, 547, 5077, 513, 3782, 8502, 952, 891, 2589, 616, 4810, 267, 607, 2038, 7020, 666, 581, 2565, 538, 5883, 5642, 2860, 2589, 3927, 269, 3958, 267, 32584, 2597, 2530, 267, 9854, 267, 610, 26742, 19631, 8611, 1522, 849, 581, 22566, 540, 5642, 2860, 269, 5457, 267, 891, 4191, 666, 849, 581, 5532, 547, 824, 1072, 2175, 267, 865, 3318, 2564, 5796, 568, 1898, 585, 4977, 5868, 543, 2126, 563, 32391, 11790, 585, 15043, 24942, 9435, 454, 4407, 4896, 666, 1020, 5642, 2860, 267, 1978, 1981, 2188, 666, 3648, 2333, 519, 10171, 540, 713, 4686, 2068, 9648, 269, 634, 3169, 3123, 540, 5642, 2860, 616, 711, 4625, 6956, 267, 855, 1978, 4719, 2175, 267, 3105, 5982, 2126, 267, 543, 9402, 1591, 2208, 949, 1404, 513, 1909, 269, 898, 568, 1271, 547, 4063, 602, 2348, 835, 610, 811, 1981, 2188, 1281, 711, 10018, 519, 1646, 540, 5642, 2860, 269, 10644, 2409, 585, 5642, 2860, 21246, 958, 4125, 2834, 32182, 585, 1346, 693, 1164, 1981, 267, 4509, 513, 2635, 6197, 267, 543, 5464, 585, 2589, 269, 13693, 566, 609, 513, 1072, 3318, 568, 2565, 585, 1620, 2123, 4220, 543, 6220, 23833, 3800, 269, 8033, 4240, 1382, 568, 4105, 538, 7393, 938, 1620, 540, 5642, 2860, 267, 922, 3123, 267, 543, 922, 6604, 563, 28536, 8251, 30332, 585, 24942, 9435, 454, 763, 7020, 540, 5642, 2860, 3322, 513, 3099, 540, 10368, 5773, 267, 543, 606, 4977, 5868, 568, 1898, 585, 8159, 519, 1034, 2500, 2126, 1544, 269, 2060, 519, 4417, 540, 10368, 7760, 267, 13500, 666, 1631, 2308, 10427, 9196, 2553, 971, 607, 11632, 18767, 267, 18909, 267, 543, 27946, 18767, 547, 14650, 519, 6708, 540, 519, 2068, 269, 4437, 641, 1910, 267, 519, 17046, 10368, 1907, 267, 3322, 519, 8851, 540, 513, 1507, 5160, 3732, 585, 18784, 6514, 269, 5047, 267, 1973, 4255, 616, 8246, 547, 3713, 1808, 12508, 2404, 609, 5642, 2860, 269, 4495, 513, 5868, 568, 9672, 267, 7189, 949, 2303, 513, 11100, 540, 2757, 543, 4244, 11257, 899, 5982, 267, 18068 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 13890, 538, 2274, 10903, 16307, 476, 2767, 281, 1789, 268, 4097, 282, 10606, 476, 1240, 281, 2918, 268, 3953, 282, 1546, 17458, 16860, 476, 1691, 281, 2420, 268, 3066, 454, 273, 269, 20828, 454, 453, 265, 5685, 3496, 519, 11454, 4238, 543, 5885, 20577, 630, 301, 13246, 476, 1240, 281, 2641, 994, 453, 265, 21278, 1416, 585, 519, 12790, 2818, 540, 2486, 630, 5719, 17458, 16860, 476, 1691, 281, 2764, 268, 3066, 994, 453, 265, 5890, 7675, 3972, 543, 13829, 593, 2696, 607, 8502, 630, 22416, 25764, 476, 274, 281, 279, 268, 1015, 994, 274, 269, 9537, 540, 25315, 1127, 454, 453, 265, 2274, 10903, 673, 5707, 515, 630, 299, 5271, 12792, 639, 476, 2767, 281, 1789, 1070, 6131, 547, 1489, 519, 20577, 454, 453, 265, 16635, 5707, 515, 630, 5719, 17458, 16860, 476, 1691, 281, 2420, 268, 2767, 1070, 1305, 11735, 585, 5993, 3909, 16873, 454, 453, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19350, 568, 519, 3791, 3184, 267, 28448, 12995, 267, 540, 1250, 2025, 1433, 3414, 519, 10261, 548, 779, 16685, 269, 901, 3184, 568, 513, 27402, 540, 519, 1482, 1641, 607, 519, 3105, 835, 267, 602, 568, 267, 606, 9237, 1413, 693, 4906, 685, 7237, 609, 519, 3638, 1762, 14610, 269, 634, 2956, 540, 519, 1641, 2339, 3112, 581, 936, 560, 5962, 267, 543, 594, 6557, 865, 9684, 995, 602, 972, 616, 11570, 945, 616, 8348, 547, 1224, 563, 1607, 3184, 849, 3217, 606, 9237, 1413, 693, 4122, 13463, 671, 4978, 827, 20778, 543, 519, 11419, 602, 2696, 568, 5356, 267, 607, 1134, 607, 519, 1650, 540, 2098, 3147, 515, 639, 267, 945, 1705, 1018, 519, 3638, 1762, 14610, 1131, 711, 798, 269, 1548, 729, 7543, 609, 812, 729, 8810, 547, 581, 2009, 609, 2696, 281, 2098, 3147, 515, 639, 17065, 7458, 998, 519, 13549, 779, 3750, 269, 2904, 2696, 948, 721, 607, 1134, 269, 2443, 6424, 454, 3080, 774, 532, 1411, 12846, 19768, 630, 15812, 476, 1015, 281, 1704, 268, 1789, 994, 6524, 649, 2132, 547, 519, 4890, 1650, 540, 4906, 685, 7237, 609, 519, 3638, 14610, 267, 1577, 721, 9096, 2679, 513, 5748, 3823, 3020, 9494, 11419, 543, 519, 5107, 540, 1065, 550, 766, 543, 24150, 538, 20778, 269, 4014, 621, 949, 3100, 513, 2370, 4074, 1190, 267, 2899, 513, 4224, 1606, 13521, 1336, 520, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 603, 532, 257, 607, 851, 540, 834, 32628, 1315, 4168, 12389, 1315, 19731, 13734, 1299, 29179, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 29838, 338, 543, 1677, 6758, 910, 7186, 781, 14929, 6853, 14886, 2336, 14343, 13430, 5970, 596, 2479, 2938, 513, 13855, 610, 513, 547, 611, 1354, 286, 9320, 596, 723, 19481, 873, 1247, 4730, 3544, 2282, 513, 11432, 610, 538, 707, 18147, 1310, 513, 4764, 10445, 269, 5637, 20883, 543, 547, 6758, 4866, 547, 513, 1895, 540, 2831, 1572, 27738, 267, 799, 1797, 789, 666, 2661, 1312, 593, 2244, 543, 538, 1216, 269, 1358, 1522, 1413, 2147, 693, 1101, 16145, 267, 855, 972, 616, 930, 4277, 3604, 1063, 891, 1079, 5577, 6853, 2828, 602, 1289, 519, 24908, 8381, 26111, 1753, 269, 1924, 1577, 781, 4685, 883, 741, 4241, 1158, 1927, 2439, 2162, 1548, 2306, 20883, 1114, 689, 547, 6758, 2496, 4263, 1101, 8289, 267, 596, 949, 1589, 782, 5577, 4771, 1814, 1562, 616, 7567, 267, 1318, 286, 1809, 952, 649, 1491, 513, 6251, 1413, 267, 649, 786, 5469, 602, 20883, 2356, 723, 5347, 543, 6632, 2960, 267, 1247, 547, 6758, 723, 3819, 267, 536, 17056, 2960, 269, 1411, 1522, 849, 7747, 602, 20883, 4043, 547, 4782, 2713, 2282, 9350, 7297, 899, 12647, 267, 8933, 267, 610, 22253, 267, 6466, 547, 6758, 3622, 2972, 14927, 2127, 2417, 2476, 689, 1930, 1216, 971, 607, 10651, 267, 803, 27595, 267, 610, 18137, 780, 5194, 1187, 1249, 827, 938, 28489, 344, 2828, 568, 875, 789, 13236, 256, 1879, 512, 611, 335, 3421, 630, 321, 17879, 20883, 610, 547, 6758, 264, 616, 14015, 267, 789, 946, 575, 1571, 1175, 899, 3165, 798, 269, 1717, 267, 2899, 789, 2981, 883, 4079, 267, 789, 1020, 9641, 543, 1376, 7244, 2011, 3079, 269, 5080, 29418, 2614, 267, 2937, 20883, 1869, 1832, 741, 5848, 2960, 2094, 621, 2337, 873, 10110, 5135, 1932, 1107, 3884, 1405, 2470, 5863, 2496, 2162, 20821, 2368, 15346, 15661, 12389, 14033, 2421, 2439, 2467, 616, 1896, 2010, 540, 20883, 543, 547, 6758, 1336, 538, 519, 24908, 8381, 26111, 3148, 269, 2913, 781, 1205, 31235, 609, 1614, 2189, 3283, 1384, 265, 2878, 306, 7428, 623, 2465, 704, 5093, 1306, 741, 2012, 5267, 267, 5614, 890, 788, 619, 3132, 10978, 669, 597, 4771, 4992, 1282, 2038, 5614, 17334, 547, 4482, 29982, 269, 4256, 10058, 834, 701, 10134, 257, 616, 1851, 519, 9998, 4191, 540, 5614, 538, 713, 1858, 2336, 265, 2878, 13563, 1677, 611, 5093, 5213, 1405, 9794, 713, 7874, 535, 7578, 676, 922, 5654, 282, 4352, 1977, 547, 6758, 2408, 2462, 543, 4439, 5652, 3379, 547, 20883, 267, 789, 2965, 3548, 1256, 811, 7786, 982, 1082, 4130, 20883, 5916, 269, 2334, 781, 3833, 5363, 950, 3843, 547, 1852, 17079, 5095, 267, 1810, 1405, 596, 3858, 888, 265, 2878, 294, 2001, 10326, 325, 5766, 5093, 5617, 10079, 621, 610, 711, 267, 12457, 3529, 325, 5766, 338, 666, 1689, 2681, 4470, 593, 741, 10450, 256, 4107, 1419, 267, 789, 2490, 18707, 540, 3039, 610, 6960, 547, 11100, 16900, 609, 3762, 267, 8371, 267, 610, 3529, 13626, 269, 1215, 3579, 568, 602, 2496, 2162, 4208, 3657, 31530, 1375, 344, 14886, 12830, 2496, 2791, 1522, 4898, 1946, 1565, 827, 891, 2370, 7068, 6927, 269, 4270, 267, 1934, 616, 513, 1906, 4128, 1384, 272, 269, 25824, 2209, 540, 7025, 2657, 281, 4595, 20883, 543, 547, 6758, 6108, 942, 1312, 538, 1216, 543, 593, 2244, 267, 1022, 2242, 538, 5533, 2157, 267, 2837, 10593, 267, 610, 7226, 2530, 1860, 873, 3533, 269, 1635, 4974, 891, 5222, 267, 3744, 666, 1732, 1174, 1018, 781, 8345, 538, 519, 1604, 1472, 721, 563, 273, 269, 645, 1872, 6513, 281, 3776, 19917, 1190, 14609, 625, 1404, 513, 2629, 1909, 538, 9013, 13311, 5521, 5095, 267, 5329, 8134, 7059, 543, 7303, 1978, 3676, 689, 10825, 563, 274, 269, 5709, 1400, 13028, 625, 281, 9894, 596, 917, 602, 6878, 6508, 689, 20883, 543, 547, 6758, 723, 1044, 1031, 538, 4915, 286, 1280, 1383, 267, 6464, 1336, 538, 8914, 546, 691, 20883, 5280, 1711, 1928, 26973, 619, 543, 4887, 6001, 1218, 269, 5808, 6487, 1018, 11580, 824, 2249, 3180, 1369, 873, 2496, 3086, 602, 596, 4312, 4121, 827, 519, 32263, 20883, 543, 547, 6758, 540, 519, 24908, 8381, 26111, 267, 594, 4126, 596, 1745, 6273, 547, 2263, 707, 1378, 8378, 3168, 585, 891, 4241, 7068, 269, 5457, 267, 1169, 13442, 4249, 513, 4105, 1909, 538, 4509, 3666, 1369, 2470, 267, 865, 10027, 880, 1142, 4316, 547, 5660, 873, 909, 2673, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 1892, 4516, 779, 1034, 20651, 10357, 29773, 454, 1892, 4516, 779, 10545, 18714, 10357, 29773, 454, 1892, 5851, 547, 3368, 540, 4516, 779, 12219, 610, 13155, 2249, 454, 1892, 13201, 519, 5207, 3529, 4763, 538, 4516, 454, 23277, 12089, 28418, 11206, 2008, 763, 24908, 8381, 26111, 540, 8828, 14411, 543, 20563, 568, 835, 540, 4516, 779, 10545, 6444, 10357, 345, 2158, 269, 898, 568, 536, 23912, 676, 519, 16004, 531, 7733, 547, 519, 5087, 543, 519, 9533, 3057, 527, 1307, 10357, 29773, 547, 519, 7532, 269, 6736, 8720, 1447, 1287, 476, 1015, 829, 1298, 540, 14411, 267, 621, 568, 835, 540, 519, 1034, 20651, 4525, 540, 4516, 267, 609, 1804, 4683, 18013, 543, 10731, 6694, 2504, 269, 901, 10357, 29773, 568, 3989, 676, 922, 22465, 3376, 29566, 543, 6404, 7733, 267, 799, 6257, 513, 9793, 2916, 543, 513, 7848, 540, 1312, 598, 26448, 630, 1197, 13582, 264, 543, 28301, 630, 321, 5802, 29566, 264, 4054, 563, 763, 24908, 8381, 26111, 2270, 513, 1804, 2179, 540, 15195, 267, 1373, 11303, 676, 519, 4279, 20463, 543, 853, 269, 18039, 5757, 269, 1452, 1804, 4703, 540, 1216, 9793, 519, 4365, 267, 3246, 15911, 24475, 543, 16830, 28782, 1287, 824, 2694, 540, 4516, 269, 12736, 1562, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5766, 338, 543, 1677, 6758, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 1315, 1234, 696, 3796, 1299, 2549, 874, 756, 2103, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 936, 2010, 540, 1614, 8820, 5515, 267, 513, 6516, 6029, 8188, 23463, 543, 8728, 267, 543, 7792, 3211, 563, 527, 568, 3617, 585, 543, 3446, 1053, 1565, 519, 4162, 540, 910, 323, 5515, 269, 952, 596, 899, 713, 1587, 581, 2386, 547, 269, 4855, 21021, 4137, 3992, 4566, 543, 3450, 2200, 269, 689, 1614, 8820, 5515, 3211, 547, 24437, 21021, 5515, 7044, 267, 3533, 1265, 4116, 24595, 3872, 2200, 563, 1789, 269, 20876, 476, 274, 667, 7645, 25609, 8018, 6103, 7689, 14136, 22955, 6096, 454, 6624, 24319, 1294, 4137, 607, 1166, 6235, 538, 543, 856, 1063, 513, 23756, 13306, 543, 513, 6677, 1511, 7944, 269, 713, 14687, 547, 519, 1079, 2009, 31223, 540, 519, 2230, 269, 5131, 7792, 546, 5546, 3211, 585, 9656, 910, 4396, 5515, 3211, 6338, 546, 5546, 547, 563, 288, 1906, 1614, 21021, 5546, 616, 3254, 2630, 269, 6096, 2979, 3446, 9511, 546, 5546, 269, 7114, 546, 5546, 18695, 267, 21384, 267, 25862, 543, 26561, 269, 546, 5546, 723, 1614, 7516, 3259, 267, 8700, 543, 4463, 269, 538, 891, 3211, 267, 1053, 2697, 543, 2721, 546, 5546, 971, 607, 18695, 267, 21384, 267, 25862, 543, 26561, 563, 13440, 1758, 1944, 546, 5546, 269, 32695, 827, 910, 323, 7645, 3337, 3211, 7792, 267, 6394, 1896, 1644, 6337, 547, 2347, 707, 2093, 269, 20803, 546, 5546, 4976, 267, 546, 5546, 4976, 543, 1614, 8820, 5546, 3211, 616, 1614, 1292, 1919, 649, 786, 1397, 596, 1759, 593, 519, 19922, 2140, 563, 2467, 616, 513, 2039, 540, 9511, 3211, 1305, 856, 538, 1114, 6810, 607, 5205, 9656, 3296, 269, 2697, 546, 5546, 543, 546, 5546, 689, 5961, 588, 3446, 3296, 269, 2697, 1114, 2010, 540, 546, 5546, 552, 3052, 269, 25862, 543, 26829, 269, 3446, 3296, 269, 2697, 543, 2012, 1808, 546, 5546, 267, 552, 269, 0, 268, 630, 23873, 264, 594, 5183, 281, 1315, 321, 389, 498, 27474, 671, 32551, 1496, 321, 389, 498, 27474, 389, 360, 323, 316, 6348, 268, 20598, 281, 594, 5183, 281, 1315, 321, 16745, 390, 488, 671, 32551, 1496, 321, 389, 496, 390, 488, 671, 2639, 268, 630, 25567, 320, 264, 594, 5183, 281, 1315, 321, 389, 498, 671, 270, 282, 630, 20799, 2275, 4381, 264, 594, 5183, 281, 1315, 321, 389, 495, 671, 13045, 4472, 323, 630, 1260, 1706, 894, 2545, 1457, 267, 2706, 331, 894, 24052, 652, 994, 268, 11109, 1100, 4552, 267, 9663, 610, 17207, 563, 268, 4165, 11618, 281, 535, 1314, 539, 267, 688, 1600, 454, 268, 476, 4572, 273, 267, 12540, 2044, 13879, 267, 634, 966, 10679, 10117, 31594, 454, 268, 634, 16164, 21696, 1185, 5030, 3476, 538, 519, 21543, 982, 1022, 540, 519, 1866, 269, 1261, 729, 865, 2025, 602, 1010, 6960, 10359, 729, 24052, 538, 15649, 543, 4951, 519, 694, 4461, 18284, 267, 543, 1034, 540, 519, 24827, 538, 1010, 2766, 1185, 1044, 15504, 856, 547, 5569, 29950, 8405, 331, 2167, 563, 268, 11109, 1100, 4552, 593, 519, 2212, 563, 268, 513, 24052, 812, 609, 513, 544, 24065, 5995, 454, 268, 630, 2421, 10137, 264, 9324, 24231, 540, 1022, 4552, 268, 610, 9663, 6438, 8720, 563, 268, 634, 24052, 2166, 12304, 568, 513, 3529, 602, 19380, 922, 3762, 538, 5162, 563, 268, 2986, 1119, 637, 281, 4171, 2627, 568, 12816, 2476, 563, 268, 630, 1993, 513, 267, 3948, 610, 2272, 264, 1133, 655, 10428, 1639, 563, 268, 630, 1993, 513, 267, 3948, 264, 9453, 2963, 610, 1489, 1373, 3177, 563, 268, 3943, 281, 669, 879, 557, 454, 268, 4436, 281, 737, 22844, 267, 1350, 28739, 330, 7238, 335, 14808, 282, 630, 8117, 2356, 6829, 609, 519, 10902, 3794, 520, 2763, 281, 5378, 3794, 520, 2763, 267, 11058, 552, 710, 3794, 520, 2763, 267, 3092, 8094, 268, 7969, 281, 1608, 17383, 267, 10652, 6737, 454, 268, 14082, 281, 1608, 17383, 267, 1416, 8619, 454, 268, 6739, 281, 2843, 375, 9924, 392, 479, 4736, 9924, 13953, 454, 268, 5053, 281, 1608, 17383, 267, 10652, 11252, 630, 322, 3326, 13228, 658, 994, 4472, 323, 630, 680, 1116, 2545, 1091, 994, 268, 630, 7343, 26803, 1014, 264, 589, 7823, 21895, 610, 30160, 602, 19330, 4104, 2208, 5103, 513, 3636, 2916, 20009, 547, 971, 267, 607, 568, 1336, 538, 1082, 4025, 538, 519, 8828, 29630, 1014, 15142, 563, 4472, 323, 630, 4472, 1091, 267, 1459, 32096, 2545, 3429, 282, 2250, 543, 2250, 32096, 2545, 4765, 994, 268, 630, 842, 4920, 1438, 264, 1677, 1831, 24052, 269, 0, 268, 1215, 1082, 2477, 616, 538, 519, 3703, 20448, 888, 268, 1215, 1082, 2477, 616, 1869, 896, 3703, 4341, 888, 268, 1684, 20448, 2477, 2628, 585, 519, 21257, 888, 268, 4208, 1705, 519, 3703, 7276, 2887, 888, 268, 3657, 20448, 4961, 3703, 888, 268, 1772, 3013, 1869, 513, 3703, 12733, 888, 268, 1548, 1281, 621, 1611, 547, 581, 538, 519, 3703, 20448, 888, 268, 1548, 568, 519, 3017, 1063, 519, 20448, 543, 519, 3703, 7276, 888, 268, 4208, 1281, 519, 3703, 20448, 2291, 888, 268, 6496, 519, 15596, 4341, 519, 1158, 888, 268, 6496, 519, 15596, 1378, 5245, 888, 268, 6496, 5245, 2628, 2724, 547, 4789, 888, 268, 1548, 2197, 22595, 5245, 888, 268, 5808, 568, 519, 2212, 540, 20448, 6082, 888, 268, 6496, 519, 15596, 1378, 4516, 888, 268, 9894, 6628, 4341, 519, 1158, 888, 268, 1215, 1082, 2477, 1281, 519, 15596, 4341, 888, 268, 1548, 616, 519, 476, 1626, 3703, 20448, 2477, 888, 268, 1772, 5245, 1869, 896, 3703, 4341, 888, 268, 1548, 2197, 814, 2760, 1044, 22983, 888, 268, 1548, 616, 519, 2640, 540, 1373, 538, 519, 3703, 20448, 888, 1692, 1082, 2477, 616, 538, 519, 3703, 20448, 888, 1692, 1082, 2477, 616, 1869, 896, 3703, 4341, 888, 2467, 2611, 267, 2705, 267, 476, 1691, 2518, 11182, 799, 2611, 896, 519, 16278, 543, 16285, 540, 519, 2136, 8003, 269, 3509, 540, 519, 5449, 11182, 540, 519, 3703, 7276, 616, 2818, 540, 519, 20448, 540, 8315, 563, 2710, 20448, 2477, 2628, 585, 519, 21257, 888, 4692, 21808, 798, 711, 2285, 1022, 2883, 1489, 547, 634, 10348, 538, 1200, 5107, 607, 10361, 540, 519, 20448, 267, 607, 10348, 540, 519, 2136, 8003, 610, 607, 590, 30371, 793, 540, 1200, 824, 7464, 916, 269, 7439, 1281, 1352, 4309, 1022, 14057, 689, 519, 5313, 2229, 269, 2560, 23671, 2628, 585, 634, 10348, 1152, 950, 267, 607, 938, 2212, 540, 1533, 267, 1352, 15824, 11645, 538, 4516, 563, 3963, 1705, 519, 3703, 7276, 2887, 888, 763, 3689, 543, 5822, 2622, 12668, 2451, 6628, 18604, 543, 1447, 5461, 538, 922, 10504, 269, 2560, 4746, 1082, 2694, 540, 519, 10504, 8329, 10136, 543, 2200, 547, 519, 2112, 4674, 543, 3576, 606, 5051, 4830, 2070, 269, 901, 3366, 547, 513, 11931, 7771, 540, 519, 10504, 1310, 476, 3707, 276, 563, 6701, 20448, 4961, 3703, 888, 7197, 5049, 540, 3703, 4182, 1023, 824, 982, 3703, 4961, 616, 849, 2808, 20448, 4961, 269, 3703, 744, 2091, 553, 17197, 1559, 4961, 267, 3703, 744, 2091, 553, 4961, 267, 3703, 5396, 267, 543, 3703, 13780, 1023, 630, 302, 2091, 553, 264, 782, 723, 713, 3606, 4567, 563, 3674, 3013, 1869, 513, 3703, 12733, 888, 3849, 6929, 26741, 323, 16466, 267, 606, 9375, 543, 6241, 626, 693, 634, 8859, 626, 267, 3081, 602, 3013, 814, 3989, 3294, 676, 16561, 610, 7947, 532, 2609, 540, 3703, 2528, 563, 1432, 1281, 621, 1611, 547, 581, 538, 519, 3703, 20448, 888, 1432, 568, 519, 3017, 1063, 519, 20448, 543, 519, 3703, 7276, 888, 3963, 1281, 519, 3703, 20448, 2291, 888, 4263, 519, 476, 4572, 277, 10554, 6628, 543, 519, 18067, 687, 8815, 602, 789, 941, 782, 3160, 2818, 540, 513, 2146, 1369, 519, 3703, 7276, 269, 1358, 782, 7640, 539, 14336, 4800, 547, 519, 3703, 4622, 610, 15596, 267, 855, 519, 2136, 8003, 1705, 711, 4341, 936, 873, 269, 901, 2146, 729, 1572, 519, 3703, 20448, 540, 8315, 610, 1175, 519, 20448, 563, 9989, 519, 15596, 4341, 519, 1158, 888, 763, 1158, 779, 3119, 32540, 2244, 26782, 568, 10348, 10906, 4083, 269, 2701, 568, 10348, 540, 476, 3953, 2477, 267, 2212, 540, 513, 20448, 540, 476, 7918, 2477, 538, 799, 513, 10116, 540, 519, 1158, 779, 2551, 2729, 267, 543, 3656, 8227, 540, 827, 476, 277, 269, 277, 5479, 14143, 540, 2244, 267, 835, 29350, 628, 540, 519, 3618, 779, 2244, 2627, 563, 9989, 519, 15596, 1378, 5245, 888, 288, 20624, 568, 513, 13338, 21257, 609, 634, 10348, 607, 590, 30371, 793, 269, 2560, 634, 10348, 779, 9576, 2511, 543, 2140, 538, 5245, 568, 10906, 519, 5822, 267, 676, 519, 24553, 540, 2696, 10348, 540, 5245, 543, 4173, 824, 7464, 916, 543, 17197, 1559, 267, 10361, 540, 519, 20448, 563, 9989, 5245, 2628, 2724, 547, 4789, 888, 301, 2100, 269, 5245, 519, 4182, 786, 2628, 1022, 11645, 1813, 593, 18666, 547, 519, 5177, 267, 855, 713, 8907, 12851, 547, 519, 6554, 538, 12057, 543, 711, 519, 10348, 563, 1432, 2197, 22595, 5245, 888, 28657, 568, 519, 1283, 4914, 23138, 540, 6305, 8241, 6694, 2244, 4553, 676, 3624, 543, 519, 2136, 2276, 269, 11905, 281, 1775, 1805, 1442, 269, 8946, 7644, 291, 8566, 2894, 2207, 9569, 9473, 984, 22223, 16027, 8834, 853, 1075, 4486, 1185, 1175, 682, 1078, 2244, 476, 3199, 14790, 5045, 540, 1010, 3376, 21492, 5186, 6137, 3484, 267, 950, 519, 3484, 1985, 7450, 5734, 519, 2344, 563, 8005, 568, 519, 2212, 540, 20448, 6082, 888, 15463, 20727, 17965, 10348, 10906, 4083, 15463, 20727, 17965, 10348, 10906, 4083, 568, 10361, 540, 519, 20448, 269, 634, 1909, 281, 568, 606, 1271, 12572, 835, 563, 9989, 519, 15596, 1378, 4516, 888, 4407, 519, 1379, 585, 891, 6411, 11710, 689, 519, 8225, 1004, 998, 519, 13338, 14908, 540, 9111, 267, 10324, 6392, 3788, 642, 6479, 538, 519, 22477, 543, 568, 1152, 1303, 27434, 676, 519, 19988, 547, 519, 2229, 593, 15773, 540, 519, 1004, 16634, 12507, 8944, 540, 4516, 269, 20075, 523, 540, 4516, 2171, 2125, 924, 12507, 8944, 543, 519, 22477, 1556, 811, 9343, 454, 12441, 6628, 4341, 519, 1158, 888, 4263, 922, 4463, 621, 729, 519, 4102, 10504, 538, 1686, 543, 267, 585, 936, 513, 2540, 267, 729, 519, 19466, 2518, 1379, 269, 1635, 476, 4489, 274, 519, 3703, 7276, 4371, 32022, 936, 476, 31404, 2929, 1004, 267, 476, 2537, 829, 1298, 540, 519, 1158, 2551, 693, 519, 942, 267, 543, 676, 476, 4572, 271, 621, 4988, 476, 3374, 267, 4335, 267, 1822, 5998, 273, 630, 1724, 267, 10384, 267, 1822, 13483, 11465, 1070, 476, 2190, 2600, 540, 519, 3047, 779, 2698, 2244, 1858, 563, 1692, 1082, 2477, 1281, 519, 15596, 4341, 888, 763, 10348, 779, 1909, 634, 10348, 568, 590, 30371, 793, 540, 476, 1428, 20448, 26441, 538, 1840, 547, 519, 5177, 269, 2701, 568, 849, 10361, 540, 519, 20448, 3294, 267, 513, 17319, 7681, 540, 476, 7918, 4830, 2477, 563, 1432, 616, 519, 476, 1626, 3703, 20448, 2477, 888, 3674, 5245, 1869, 896, 3703, 4341, 888, 288, 20624, 568, 711, 2047, 896, 3703, 4341, 267, 855, 621, 568, 9930, 3373, 896, 3703, 4341, 269, 2560, 5245, 1754, 985, 3294, 998, 922, 6305, 14012, 543, 922, 17135, 4937, 267, 855, 519, 10348, 540, 4279, 6628, 267, 10348, 10906, 519, 476, 273, 526, 267, 568, 1869, 519, 16313, 540, 5245, 267, 1498, 1352, 3085, 1406, 2047, 4341, 621, 563, 1432, 2197, 814, 2760, 1044, 22983, 888, 3080, 540, 519, 1158, 779, 9510, 12977, 267, 3567, 729, 2111, 547, 1832, 922, 2528, 543, 1686, 5266, 16856, 936, 519, 5553, 1317, 22163, 3567, 814, 2760, 1044, 22983, 676, 606, 3544, 3196, 563, 1432, 616, 519, 2640, 540, 1373, 538, 519, 3703, 20448, 888, 1432, 3657, 519, 11588, 540, 9861, 513, 20448, 18299, 523, 538, 519, 5177, 286, 14738, 540, 2806, 1712, 538, 519, 5177, 269, 634, 2048, 2431, 540, 705, 1712, 685, 2488, 519, 2702, 547, 2661, 610, 960, 538, 519, 5177, 1863, 540, 11776, 8060, 630, 553, 1131, 581, 519, 2013, 585, 513, 31705, 23649, 1040, 2560, 5177, 1323, 6827, 787, 31705, 269, 2560, 6250, 320, 6954, 2951, 269, 2560, 1401, 18277, 689, 519, 2296, 1893, 1449, 269, 2560, 15937, 1913, 6993, 1872, 476, 274, 267, 476, 1708, 271, 0, 2414, 1265, 856, 267, 519, 2319, 8947, 476, 1789, 19747, 6417, 8062, 5473, 3592, 476, 273, 267, 4335, 5171, 945, 17696, 18437, 3079, 540, 824, 11950, 538, 513, 2635, 1970, 3766, 569, 23303, 4994, 2732, 269, 634, 1353, 2829, 602, 18437, 3568, 513, 1970, 29944, 4994, 799, 666, 2014, 4130, 4679, 538, 1973, 4006, 2157, 982, 3536, 609, 513, 1164, 29944, 4994, 971, 607, 3043, 7573, 267, 3043 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 547, 25737, 454, 32098, 593, 713, 3135, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 268, 5591, 32056, 643, 2510, 476, 275, 269, 271, 630, 6717, 15760, 9539, 290, 9539, 291, 476, 275, 269, 271, 264, 12689, 269, 0, 268, 2097, 547, 2474, 282, 834, 5475, 930, 4901, 649, 6368, 1500, 909, 257, 630, 12571, 490, 264, 335, 2255, 909, 267, 1118, 318, 1575, 267, 598, 4290, 5573, 267, 7017, 454, 268, 5473, 610, 6353, 676, 10103, 630, 12571, 490, 264, 327, 1301, 4577, 267, 11745, 673, 267, 11745, 1242, 267, 11745, 2213, 454, 268, 513, 4484, 540, 519, 9904, 7555, 585, 513, 9275, 27901, 454, 268, 513, 4633, 3280, 602, 568, 711, 513, 20262, 454, 268, 1683, 7482, 14911, 547, 282, 834, 763, 2754, 20083, 519, 5520, 7418, 4840, 268, 519, 6060, 2877, 547, 3094, 513, 6474, 454, 268, 14402, 9967, 540, 513, 6094, 4062, 540, 3574, 610, 21312, 512, 5792, 609, 12318, 1043, 3114, 282, 5337, 2572, 609, 11508, 282, 834, 515, 2141, 11438, 13292, 547, 1769, 1010, 10612, 21968, 834, 553, 1279, 596, 557, 513, 23058, 11717, 547, 1769, 707, 535, 698, 257, 630, 12571, 490, 264, 331, 1075, 11717, 267, 11508, 6474, 454, 268, 606, 3169, 26134, 282, 834, 15290, 513, 6474, 568, 1336, 606, 7127, 568, 1500, 538, 519, 21641, 257, 630, 12571, 490, 264, 22940, 454, 268, 513, 8781, 4062, 540, 3574, 610, 21312, 282, 834, 604, 596, 6749, 513, 6474, 538, 972, 519, 2898, 1747, 786, 1011, 1712, 4840, 268, 513, 6101, 16311, 538, 799, 1079, 610, 811, 7606, 610, 6887, 14526, 454, 268, 1945, 602, 20998, 610, 11745, 3278, 609, 282, 834, 7474, 17063, 2306, 513, 1434, 6474, 609, 707, 29075, 4840, 268, 1118, 5330, 610, 11745, 1125, 282, 834, 300, 2255, 1250, 4418, 831, 257, 630, 12571, 490, 264, 7257, 454, 268, 581, 15095, 267, 2147, 610, 5812, 282, 14626, 728, 538, 741, 4162, 282, 834, 763, 1079, 2984, 21645, 3858, 538, 1082, 3877, 21968, 834, 763, 13002, 11974, 609, 519, 15040, 593, 519, 2638, 21968, 834, 763, 31268, 9416, 21646, 21645, 6474, 1346, 593, 519, 7784, 257, 630, 12571, 490, 264, 7257, 267, 5330, 267, 2638, 267, 795, 32079, 267, 575, 32079, 267, 512, 958, 267, 3858, 454, 268, 3142, 1079, 3615, 267, 2093, 267, 610, 1004, 1927, 282, 834, 1607, 1249, 568, 13745, 547, 519, 824, 835, 21968, 834, 300, 2255, 20447, 267, 666, 596, 6474, 1250, 8250, 609, 513, 8799, 1762, 812, 8119, 282, 834, 763, 2875, 729, 19610, 609, 513, 7649, 585, 5698, 593, 519, 1788, 257, 630, 12571, 490, 264, 22940, 267, 7008, 267, 6292, 267, 18618, 454, 268, 581, 3160, 610, 11745, 1125, 282, 834, 763, 1079, 4773, 6474, 4840, 268, 2285, 610, 6443, 538, 7365, 454, 268, 540, 610, 11341, 547, 519, 7936, 540, 1035, 24065, 923, 602, 2090, 519, 5888, 540, 7574, 4992, 282, 834, 1492, 3280, 540, 519, 6949, 908, 13570, 3112, 581, 519, 1152, 24572, 540, 519, 23191, 3210, 4840, 268, 1022, 540, 513, 3126, 540, 7574, 18565, 4171, 12451, 616, 7533, 23385, 540, 519, 4908, 540, 513, 4909, 454, 268, 513, 3159, 602, 568, 513, 5057, 540, 513, 1950, 3280, 454, 268, 11341, 547, 21513, 602, 2049, 607, 513, 1267, 540, 21513, 538, 513, 7404, 1560, 282, 834, 1910, 5404, 24602, 19089, 257, 630, 12571, 490, 264, 1910, 5404, 24602, 454, 268, 540, 610, 11341, 547, 2800, 9582, 454, 268, 540, 610, 11341, 547, 10103, 607, 3982, 689, 23260, 543, 11733, 282, 834, 11357, 1479, 2906, 540, 23191, 1689, 543, 9522, 1275, 27324, 25453, 10830, 454, 268, 25091, 17356, 454, 268, 1450, 547, 723, 282, 834, 326, 7949, 513, 17979, 257, 630, 12571, 490, 264, 718, 582, 267, 9886, 454, 268, 598, 2017, 5270, 540, 6644, 282, 834, 933, 616, 538, 11063, 609, 707, 11556, 257, 630, 12571, 490, 264, 935, 845, 640, 267, 13076, 454, 268, 3142, 883, 19283, 766, 610, 11063, 282, 834, 327, 1301, 517, 1125, 3283, 3853, 609, 3283, 5759, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 31363, 454, 268, 3142, 630, 13367, 531, 1919, 264, 883, 19283, 766, 610, 9305, 32069, 282, 834, 327, 1301, 517, 1125, 519, 1114, 4690, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 2206, 610, 1404, 538, 10103, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 2328, 513, 10103, 585, 630, 12571, 490, 264, 327, 1301, 517, 1047, 454, 268, 3142, 883, 19283, 766, 267, 10103, 267, 610, 11063, 1247, 1818, 2575, 610, 13465, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 16147, 454, 268, 979, 1927, 282, 834, 763, 4778, 21645, 11745, 1125, 21968, 834, 19853, 2093, 6677, 867, 539, 257, 630, 12571, 490, 264, 327, 1301, 517, 1047, 267, 931, 677, 267, 11063, 267, 6677, 867, 267, 3514, 538, 267, 3858, 454, 268, 519, 957, 540, 26587, 2924, 282, 834, 1492, 13076, 547, 4516, 540, 2924, 540, 1569, 257, 630, 12571, 490, 264, 3147, 867, 766, 540, 2924, 454, 268, 711, 1500, 5812, 610, 15095, 282, 834, 18314, 11389, 935, 4290, 539, 2272, 902, 4840, 268, 1500, 15095, 610, 5812, 454, 268, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 7987, 492, 25520, 25335, 352, 7430, 499, 7430, 505, 11210, 489, 7987, 493, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 488, 9463, 501, 417, 489, 499, 418, 483, 489, 7430, 356, 7987, 489, 263, 2507, 7430, 360, 264, 7987, 486, 32512, 12530, 375, 420, 485, 359, 26166, 7987, 487, 8072, 11210, 496, 262, 13200, 502, 11210, 497, 7430, 502, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 1729, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 263, 4777, 7987, 492, 532, 7987, 493, 264, 7987, 489, 1315, 476, 7987, 486, 21251, 13601, 420, 485, 368, 12530, 375, 419, 366, 487, 11590, 487, 7430, 359, 7430, 358, 7987, 487, 8072, 11210, 496, 262, 25335, 352, 418, 365, 374, 7430, 503, 11210, 489, 267, 420, 359, 379, 417, 479, 506, 7430, 503, 11210, 489, 1315, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 420, 359, 379, 25520, 263, 13601, 420, 485, 368, 264, 7430, 499, 7430, 505, 11210, 489, 264, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 454, 268, 476, 31878, 421, 509, 367, 267, 31878, 421, 509, 367, 21211, 1315, 476, 7987, 488, 24757, 7987, 489, 263, 2507, 7430, 357, 264, 420, 359, 379, 25520, 7430, 503, 11210, 489, 267, 13601, 420, 485, 368, 7430, 503, 11210, 489, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 263, 7987, 492, 1729, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 13127, 491, 498, 25520, 421, 509, 367, 28374, 1315, 476, 31878, 421, 509, 367, 28374, 454, 268, 630, 272, 10951, 361, 28374, 264, 7987, 492, 7430, 378, 7430, 352, 7430, 350, 7987, 493, 1315, 630, 13107, 498, 28374, 264, 419, 479, 360, 419, 372, 482, 314, 421, 488, 481, 2639, 268, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 263, 2507, 7430, 360, 264, 7987, 492, 25060, 373, 10533, 369, 7430, 503, 11210, 489, 25203, 372, 19867, 489, 7987, 493, 267, 263, 2507, 28374, 264, 417, 354, 377, 10533, 369, 19867, 489, 7987, 488, 266, 7987, 492, 1721, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 21382, 378, 314, 28374, 13601, 25913, 3910, 29830, 485, 11210, 493, 11210, 490, 267, 13200, 509, 7430, 491, 19540, 503, 7430, 501, 1315, 476, 7987, 488, 22287, 502, 12255, 25051, 351, 7430, 356, 7987, 489, 263, 2507, 7430, 357, 264, 7987, 492, 11210, 486, 7430, 493, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 11210, 480, 28374, 7987, 493, 7987, 488, 266, 7987, 492, 1721, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 492, 420, 358, 355, 12571, 486, 7987, 493, 267, 419, 360, 370, 418, 488, 478, 1315, 476, 7987, 488, 9463, 353, 7987, 489, 419, 372, 479, 419, 369, 482, 267, 419, 369, 494, 417, 358, 504, 282, 419, 369, 494, 417, 358, 504, 25203, 372, 19867, 489, 1315, 630, 2507, 7430, 356, 264, 2507, 8072, 7430, 360, 262, 7987, 492, 25060, 373, 10533, 369, 7430, 503, 11210, 489, 7987, 493, 267, 8072, 7430, 357, 262, 21382, 378, 419, 511, 487, 7430, 356, 7430, 480, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 514, 7987, 493, 263, 7987, 492, 1721, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 630, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 21382, 378, 418, 488, 501, 7430, 499, 7430, 505, 11210, 489, 267, 420, 358, 355, 12571, 486, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 28785, 560, 7987, 493, 263, 7987, 492, 5976, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 486, 29830, 358, 7430, 490, 7987, 487, 2507, 8072, 7430, 357, 262, 7987, 492, 420, 359, 379, 25520, 7430, 503, 11210, 489, 7987, 493, 267, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 1315, 476, 7987, 486, 32512, 7430, 490, 7987, 487, 2507, 8072, 7430, 360, 262, 420, 359, 379, 25520, 7430, 503, 11210, 489, 11210, 480, 28374, 11210, 496, 26109, 489, 7430, 353, 7430, 495, 11210, 489, 1315, 476, 7987, 488, 9463, 353, 7987, 489, 263, 2507, 7430, 357, 264, 2507, 8072, 11210, 496, 262, 419, 369, 494, 417, 358, 504, 7430, 499, 7430, 505, 11210, 489, 7987, 488, 266, 7987, 492, 12571, 491, 7987, 493, 266, 7987, 492, 1729, 7987, 493, 263, 7987, 492, 5976, 7987, 493, 11924, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 630, 2507, 7430, 357, 264, 7987, 492, 420, 359, 379, 25520, 7430, 490, 7430, 357, 11210, 490, 7430, 355, 7430, 482, 11210, 489, 7987, 493, 267, 7430, 353, 11210, 488, 12571, 486, 7430, 484, 7987, 488, 266, 7987, 492, 1575, 609, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 454, 268, 29635, 359, 379, 25520, 7430, 503, 11210, 489, 267, 421, 509, 367, 418, 354, 377, 7511, 7430, 359, 1315, 630, 421, 509, 367, 418, 354, 377, 7430, 356, 264, 25520, 417, 352, 364, 28374, 267, 22390, 491, 421, 509, 367, 28374, 1315, 815, 1478, 339, 821, 476, 272, 454, 268, 630, 2507, 7430, 357, 264, 7987, 492, 13601, 420, 485, 368, 7430, 503, 11210, 489, 7987, 493, 267, 420, 359, 379, 25520, 7430, 503, 11210, 489, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 263, 7987, 492, 3369, 268, 7987, 493, 419, 363, 478, 264, 7987, 489, 1315, 476, 7987, 486, 420, 357, 365, 23746, 12530, 375, 420, 367, 508, 420, 367, 505, 12530, 375, 27882, 497, 13213, 492, 7430, 359, 7430, 358, 7987, 487, 262, 11210, 496, 262, 4970, 492, 7430, 486, 11210, 489, 1315, 476, 7987, 486, 308, 7987, 487, 263, 2507, 7430, 357, 28374, 264, 7987, 492, 13601, 420, 485, 368, 7987, 493, 267, 420, 359, 379, 25520, 22607, 1301, 3415, 264, 7987, 488, 266, 7987, 492, 5976, 7987, 493, 266, 7987, 492, 12571, 491, 7987, 493, 7987, 489, 1315, 476, 7987, 486, 290, 7987, 487, 18713, 377, 421, 504, 505, 22287, 498, 27936, 267, 420, 361, 505, 25520, 1315, 476, 7987, 486, 308, 7987, 487, 7987, 486, 290, 7987, 487, 25520, 421, 509, 367, 267, 22287, 498, 25520, 421, 509, 367, 282, 263, 420, 487, 366, 28374, 264, 420, 359, 379, 25520, 454, 268, 476, 10524, 366, 25203, 368, 11210, 488, 267, 25520, 25335, 352, 1315, 13127, 355, 354, 22287, 498, 1315, 476, 10524, 366, 420, 352, 479, 267, 420, 359, 379, 417, 479, 506, 1315, 476, 13601, 420, 485, 368, 454, 3725, 935, 16624, 949, 3277, 547, 912, 268, 476, 272, 19098, 454, 268, 476, 273, 17716, 454, 268, 476, 274, 15215, 454, 268, 476, 275, 17791, 20664, 454, 268, 476, 276, 4033, 454, 268, 476, 277, 6423, 849, 454, 268, 26532, 16624, 630, 27665, 532, 994, 268, 26532, 16624, 630, 30710, 1894, 1070, 19620, 8994, 2463, 1063, 2043, 689, 1114, 2686, 10080, 454, 268, 26532 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 15239, 6953, 3861, 14871, 454, 16274, 281, 476, 6021, 9484, 476, 1001, 274, 454, 15803, 281, 476, 14444, 4391, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1015, 4119, 476, 1001, 277, 267, 476, 6187, 281, 4391, 454, 15916, 689, 519, 17918, 11833, 645, 2794, 289, 582, 2439, 12552, 547, 1776, 17918, 11833, 4759, 267, 594, 723, 1175, 4362, 713, 3407, 1888, 267, 2943, 621, 1185, 1100, 4901, 585, 936, 513, 1032, 269, 594, 993, 1631, 536, 18804, 621, 909, 910, 3257, 1250, 2816, 269, 594, 1589, 596, 949, 1265, 621, 3407, 630, 525, 335, 1346, 30491, 609, 918, 16997, 6393, 23763, 547, 1294, 782, 824, 3584, 594, 2007, 856, 286, 7427, 803, 630, 28781, 1246, 7735, 593, 9043, 1040, 1411, 786, 4309, 513, 5758, 540, 782, 3584, 594, 29424, 538, 707, 9043, 1858, 607, 1134, 607, 3842, 4757, 563, 6303, 318, 692, 20132, 19560, 476, 27543, 1496, 271, 3910, 2016, 281, 476, 271, 692, 12421, 454, 16274, 281, 476, 2537, 3967, 476, 1001, 276, 454, 15803, 281, 476, 6246, 692, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 10602, 692, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 15051, 454, 25446, 281, 6176, 5303, 630, 20663, 12229, 994, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1321, 4119, 476, 1001, 277, 267, 476, 2641, 281, 1428, 454, 3674, 519, 8870, 544, 606, 1256, 1297, 2496, 263, 272, 264, 1923, 332, 347, 815, 910, 332, 692, 263, 273, 264, 630, 332, 7565, 332, 910, 476, 272, 7565, 332, 1341, 476, 273, 264, 815, 476, 271, 692, 5804, 3948, 476, 272, 267, 649, 917, 700, 9391, 814, 6207, 1871, 563, 7712, 6207, 1871, 666, 2760, 581, 2942, 267, 865, 519, 1152, 26363, 3070, 729, 476, 271, 692, 296, 993, 2386, 993, 7508, 856, 1945, 268, 666, 4896, 948, 803, 856, 2496, 20132, 19560, 476, 280, 1496, 271, 3910, 2016, 281, 476, 10602, 692, 13043, 16869, 454, 16274, 281, 476, 6349, 9484, 476, 1220, 280, 454, 15803, 281, 476, 32455, 5038, 692, 20132, 19560, 476, 15171, 4281, 273, 1496, 272, 3910, 2016, 281, 476, 11277, 7761, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 1724, 4119, 476, 1001, 277, 267, 476, 876, 281, 7906, 454, 272, 454, 298, 11070, 5308, 454, 2750, 13630, 781, 2022, 454, 2304, 580, 337, 1626, 5206, 912, 3674, 519, 8870, 544, 606, 1256, 1297, 2496, 263, 272, 264, 1923, 332, 347, 815, 910, 332, 692, 263, 273, 264, 630, 332, 7565, 332, 910, 476, 272, 7565, 332, 1341, 476, 273, 264, 815, 476, 271, 692, 5804, 3948, 476, 272, 267, 649, 917, 700, 9391, 814, 6207, 1871, 563, 7712, 6207, 1871, 666, 2760, 581, 2942, 267, 865, 519, 1152, 26363, 3070, 729, 476, 271, 692, 296, 993, 2386, 993, 7508, 856, 1945, 268, 666, 4896, 948, 803, 856, 2496, 1607, 568, 6045, 1657, 281, 689, 630, 272, 264, 3230, 268, 332, 315, 28254, 476, 271, 2330, 25341, 3230, 332, 1422, 19008, 476, 271, 2330, 25341, 544, 666, 581, 1022, 1875, 25698, 1871, 547, 14183, 1923, 332, 347, 815, 910, 332, 563, 6303, 318, 692, 20132, 19560, 476, 15171, 4281, 273, 1496, 272, 3910, 2016, 281, 476, 11277, 7761, 692, 29262, 454, 1805, 9850, 281, 4804, 454, 16274, 281, 476, 736, 5463, 476, 1001, 276, 454, 15803, 281, 476, 10482, 273, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 25851, 692, 19613, 281, 3127, 454, 3519, 1417, 1674, 281, 15051, 267, 16373, 454, 29479, 476, 272, 281, 476, 277, 3583, 1627, 4366, 966, 3607, 454, 294, 3918, 476, 272, 281, 476, 27183, 1627, 14991, 966, 14991, 454, 294, 5183, 281, 476, 274, 269, 275, 454, 25446, 281, 19007, 543, 13870, 630, 10048, 3011, 1005, 994, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 1109, 28784, 21529, 6540, 2162, 8058, 16193, 692, 736, 9947, 476, 1001, 278, 267, 476, 736, 281, 5655, 454, 3412, 334, 595, 454, 25802, 16602, 2243, 454, 5804, 3948, 476, 272, 649, 723, 544, 27045, 271, 2073, 544, 666, 1491, 1022, 1871, 8754, 13385, 454, 5804, 3948, 476, 273, 649, 723, 544, 284, 271, 267, 272, 16427, 273, 8754, 13385, 4586, 23382, 1456, 649, 723, 476, 271, 543, 910, 273, 8754, 6190, 454, 6303, 318, 692, 2171, 616, 811, 1419, 19225, 2989, 982, 10413, 282, 543, 649, 7985, 811, 689, 9345, 982, 689, 4641, 692, 20132, 19560, 476, 10037, 1496, 271, 3910, 2016, 281, 476, 25851, 692, 3725, 281, 1772, 519, 8870, 544, 606, 1256, 1297, 286, 5231, 1496, 258, 21529, 316, 476, 736, 9947, 476, 1001, 278, 267, 476, 736, 281, 5655, 454, 11514, 2452, 9708, 689, 3105, 281, 23037, 676, 0, 258, 2859, 1806, 593, 829, 916, 543, 2036, 338, 692, 1012, 19809, 593, 6249, 281, 834, 5415, 1806, 593, 829, 916, 543, 2036, 338, 257, 1765, 19809, 13973, 1384, 5415, 1806, 593, 829, 916, 543, 2036, 338, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 320, 264, 519, 27379, 568, 538, 519, 4605, 630, 321, 264, 519, 27379, 543, 519, 19081, 616, 538, 519, 4605, 630, 322, 264, 2901, 519, 27379, 568, 538, 519, 4605, 610, 519, 19081, 568, 538, 519, 4605, 267, 855, 711, 1312, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 320, 264, 519, 27379, 568, 538, 519, 4605, 634, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 649, 1287, 723, 476, 276, 7158, 547, 7989, 1393, 689, 476, 280, 1004, 623, 3799, 267, 337, 264, 1141, 562, 284, 280, 543, 678, 284, 276, 476, 280, 256, 14370, 280, 268, 276, 25631, 4061, 972, 616, 2081, 547, 798, 713, 476, 3445, 278, 736, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 321, 264, 519, 27379, 543, 519, 19081, 616, 538, 519, 4605, 634, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 543, 519, 19081, 538, 835, 540, 476, 276, 630, 528, 13030, 17930, 264, 476, 1789, 8925, 538, 782, 649, 1287, 723, 476, 275, 7158, 547, 7989, 1393, 689, 476, 279, 1004, 623, 3799, 267, 337, 264, 1141, 562, 284, 279, 543, 678, 284, 275, 476, 279, 256, 14370, 279, 268, 275, 25631, 4061, 972, 616, 2081, 538, 2698, 476, 27843, 876, 692, 1410, 9052, 1215, 1082, 2081, 666, 513, 23031, 693, 513, 16806, 6582, 476, 277, 1004, 538, 513, 4737, 689, 513, 1895, 540, 476, 1015, 1004, 267, 1141, 519, 27379, 543, 19081, 616, 1851, 1346, 1004, 267, 971, 602, 630, 322, 264, 2901, 519, 27379, 568, 538, 519, 4605, 610, 519, 19081, 568, 538, 519, 4605, 267, 855, 711, 1312, 2015, 519, 27379, 1510, 519, 19081, 519, 27379, 666, 581, 538, 835, 540, 476, 277, 7158, 519, 6967, 476, 276, 7158, 666, 581, 3144, 676, 476, 279, 1004, 1775, 4318, 269, 476, 279, 14538, 267, 711, 519, 19081, 256, 623, 3799, 267, 337, 264, 1141, 562, 284, 279, 543, 678, 815, 476, 276, 476, 279, 256, 14370, 279, 268, 276, 25631, 538, 2698, 972, 616, 2081, 547, 723, 519, 27379, 1510, 519, 19081, 476, 29889, 736, 2081, 634, 1482, 6585, 585, 519, 19081, 1510, 519, 27379, 4061, 815, 2081, 538, 2698, 692, 1410, 9052, 769, 476, 274, 323, 1032, 267, 2582, 4378, 2293, 267, 1053, 1590, 1491, 476, 280, 13838, 609, 476, 280, 11400, 630, 296, 6557, 24937, 519, 2319, 1788, 538, 713, 4901, 1040, 3962, 9074, 814, 519, 1739, 981, 2497, 1215, 1082, 1114, 2081, 666, 596, 14183, 519, 1657, 4170, 2496, 21129, 0, 1607, 3135, 568, 6462, 676, 23190, 547, 634, 31643, 3041, 7690, 780, 670, 6493, 630, 294, 22901, 902, 689, 634, 2201, 6441, 710, 15610, 540, 6715, 518, 14938, 1878, 26695, 589, 15150, 13923, 1473, 1182, 737, 971, 602, 476, 2918, 7132, 519, 737, 6253, 21083, 1297, 568, 513, 3501, 4009, 269, 476, 273, 692, 260, 296, 692, 260, 306, 476, 275, 267, 1015, 267, 4391, 267, 6858, 267, 13136, 267, 4375, 275, 267, 12553, 276, 267, 26631, 280, 267, 278, 5392, 273, 267, 16328, 6349, 267, 275, 3607, 7597, 267, 4281, 272, 1428, 267, 22724, 276, 2190, 267, 3393, 276, 23310, 10484, 260, 307, 476, 16825, 31003, 278, 267, 25228, 3607, 273, 278, 267, 279, 5038, 277, 4097, 271, 267, 15150, 277, 5038, 10619, 267, 2004, 274, 280, 3393, 4792, 267, 3445, 272, 3393, 273, 866, 267, 27840, 278, 2641, 32180, 10484, 260, 308, 476, 30589, 29024, 279, 5655, 267, 14378, 4350, 14690, 280, 267, 27420, 25248, 4343, 274, 276, 267, 4200, 278, 4281, 277, 280, 4510, 275, 267, 9965, 4366, 273, 7176, 272, 3583, 267, 6812, 272, 4649, 273, 279, 5392, 1704, 267, 10441, 271, 2767, 31746, 6942, 267, 24783, 4817, 274, 279, 2412, 271, 2568, 692, 260, 301, 1473, 1182, 737, 971, 602, 476, 2918, 7132, 519, 737, 6253, 21083, 1297, 568, 513, 3501, 4009, 780, 260, 295, 2051, 514, 31661, 518, 267, 2999, 320, 27430, 6889, 270, 288, 15150, 13923, 11486, 15150, 13923, 17902, 22969, 8368, 540, 562, 267, 513, 3799, 264, 585, 562, 815, 476, 272, 907, 4335, 9572, 320, 285, 692, 260, 295, 674, 269, 570, 269, 17566, 8862, 520, 1562, 267, 2999, 320, 27430, 6889, 10674, 2517, 4289, 269, 572, 336, 325, 534, 4318, 340, 270, 7032, 11279, 841, 270, 572, 336, 325, 534, 270, 1220, 280, 268, 19751, 270, 16573, 27843, 11258, 22969, 5353, 336, 293, 534, 17564, 9572, 320, 285, 267, 4239, 476, 1220, 280, 692, 260, 295, 2999, 320, 27430, 6889, 270, 8161, 270, 13434, 258, 4650, 318, 4962, 22969, 19340, 13366, 585, 5276, 9888, 18384, 609, 3586, 14170, 9572, 320, 285, 267, 15040, 630, 272, 267, 277, 16427, 277, 16427, 272, 267, 272, 6393, 260, 293, 2715, 330, 281, 476, 2918, 266, 330, 16732, 330, 266, 272, 8358, 273, 538, 589, 1822, 23310, 348, 780, 260, 293, 513, 3799, 264, 815, 1341, 320, 3799, 268, 272, 264, 1341, 277, 265, 320, 3799, 268, 273, 264, 910, 277, 265, 320, 3799, 268, 274, 264, 910, 320, 3799, 268, 275, 264, 1341, 320, 3799, 268, 276, 6393, 260, 293, 717, 8807, 12727, 1535, 265, 8987, 275, 268, 277, 20080, 268, 274, 20080, 317, 273, 266, 277, 20080, 317, 274, 266, 276, 20080, 317, 275, 8358, 9230, 343, 268, 272, 264, 2608, 630, 343, 317, 273, 268, 273, 20080, 268, 272, 264, 2608, 630, 343, 317, 273, 266, 273, 20080, 268, 272, 4297, 780, 260, 293, 717, 8807, 12727, 630, 476, 1015, 1341, 11196, 274, 268, 277, 20080, 19422, 343, 317, 273, 266, 273, 20080, 268, 272, 264, 1341, 476, 272, 14370, 343, 268, 272, 264, 1341, 630, 1321, 266, 2767, 20080, 19422, 343, 317, 273, 268, 273, 20080, 268, 272, 264, 3738, 270, 273, 780, 260, 324, 476, 275, 16732, 275, 266, 272, 8358, 273, 266, 2918, 815, 476, 277, 317, 273, 269, 476, 1015, 16732, 1015, 266, 272, 8358, 273, 266, 2918, 815, 476, 280, 317, 273, 269, 476, 4391, 16732, 4391, 266, 272, 8358, 273, 266, 2918, 815, 476, 2767, 317, 273, 269, 476, 6858, 16732, 6858, 266, 272, 8358, 273, 266, 2918, 815, 476, 4366, 317, 273, 780, 260, 339 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 6617, 1317, 922, 1627, 15304, 9775, 609, 454, 1103, 21689, 5955, 9186, 267, 21689, 6453, 2488, 519, 9186, 585, 454, 7617, 540, 519, 1739, 9186, 3096, 1312, 2942, 543, 2318, 1379, 3761, 286, 0, 30475, 281, 31790, 1315, 1715, 3840, 1315, 1715, 3840, 4975, 1315, 3345, 3013, 1315, 4934, 13073, 1315, 6465, 826, 540, 23068, 1315, 7330, 454, 22139, 3013, 779, 1034, 4583, 19506, 267, 519, 6465, 826, 540, 23068, 267, 729, 2899, 849, 922, 32399, 15224, 269, 6875, 513, 1413, 693, 621, 689, 519, 6371, 344, 5544, 1318, 1985, 547, 621, 538, 713, 3381, 563, 268, 11473, 6571, 281, 476, 275, 298, 630, 30156, 277, 9943, 14225, 279, 994, 268, 11473, 8653, 281, 476, 876, 281, 6795, 454, 268, 11473, 1826, 281, 476, 11740, 4113, 1395, 25646, 454, 268, 23866, 281, 853, 699, 334, 454, 268, 8943, 322, 281, 670, 269, 25784, 454, 268, 9779, 3433, 281, 476, 3066, 25253, 1186, 454, 268, 31108, 2557, 281, 476, 1839, 535, 1186, 454, 305, 5819, 1399, 1863, 24416, 609, 5001, 10419, 783, 12689, 269, 2382, 656, 3381, 4647, 269, 32000, 6165, 269, 16301, 563, 19185, 547, 6718, 811, 7044, 286, 13555, 721, 585, 4320, 24416, 28774, 563, 10666, 6465, 826, 540, 23068, 454, 1607, 568, 1715, 3840, 538, 835, 8289, 269, 634, 11599, 267, 23836, 18533, 5654, 936, 519, 2749, 689, 32762, 6816, 269, 1280, 1082, 945, 3357, 547, 519, 2276, 267, 621, 568, 519, 7555, 12576, 540, 519, 1871, 540, 5191, 269, 634, 15224, 568, 936, 476, 10844, 7397, 7381, 269, 898, 729, 1500, 856, 540, 7601, 543, 2016, 547, 519, 1004, 540, 3013, 676, 519, 1004, 540, 5333, 538, 476, 6642, 277, 269, 2311, 602, 942, 267, 621, 729, 519, 32399, 2679, 538, 1715, 3840, 269, 0, 3080, 540, 519, 1034, 2027, 24917, 903, 568, 1323, 4821, 9932, 267, 799, 2501, 689, 1313, 636, 2522, 646, 987, 269, 634, 1313, 636, 2522, 1427, 10306, 334, 568, 3592, 19730, 538, 2681, 267, 609, 513, 2178, 24710, 540, 968, 8364, 8527, 892, 543, 968, 6229, 344, 892, 1286, 14712, 4967, 543, 513, 533, 2426, 550, 6492, 269, 898, 2501, 689, 519, 646, 1430, 540, 9451, 24260, 630, 292, 878, 320, 6354, 584, 604, 3271, 320, 1070, 513, 21906, 609, 13711, 5810, 602, 16036, 538, 15489, 269, 589, 476, 1001, 273, 1353, 1336, 602, 646, 1430, 9932, 1185, 519, 5207, 4307, 565, 1543, 269, 4746, 267, 519, 1164, 2179, 540, 15279, 9932, 14434, 2337, 547, 4894, 519, 1863, 18119, 3812, 607, 513, 1267, 540, 10894, 6547, 543, 4205, 609, 519, 5007, 14107, 540, 519, 1604, 269, 26332, 3215, 891, 1863, 18119, 11151, 10172, 543, 10607, 2949, 1072, 269, 1261, 1430, 630, 528, 589, 2793, 7246, 264, 568, 9932, 3812, 689, 519, 17382, 5810, 1572, 1234, 5942, 269, 14730, 9932, 609, 513, 2178, 6492, 9053, 676, 14053, 6800, 269, 898, 16358, 3278, 3533, 689, 476, 272, 268, 274, 3275, 269, 898, 814, 513, 1164, 9422, 1871, 22262, 519, 1560, 543, 3568, 513, 1804, 2179, 540, 14947, 269, 901, 1360, 2027, 9932, 568, 6394, 538, 519, 15489, 3275, 689, 519, 594, 330, 7559, 15142, 269, 898, 814, 6822, 894, 267, 513, 11415, 550, 267, 1884, 1047, 10364, 543, 4550, 13611, 3601, 269, 2142, 3663, 568, 835, 540, 519, 1034, 1271, 13520, 2371, 1317, 621, 849, 2636, 519, 13520, 547, 581, 17105, 269, 0, 1103, 4989, 476, 2735, 277, 267, 606, 23139, 19720, 16411, 693, 519, 595, 3062, 984, 2643, 6046, 1379, 2030, 538, 1459, 6377, 12907, 6534, 6634, 540, 1004, 538, 519, 4478, 1858, 547, 14599, 17694, 269, 968, 27662, 1575, 892, 4600, 941, 849, 6534, 269, 6270, 5982, 568, 1634, 547, 2014, 2242, 267, 610, 13592, 267, 538, 5027, 563, 10521, 2090, 6313, 519, 4719, 2242, 538, 1346, 538, 519, 1858, 693, 519, 942, 540, 519, 8009, 543, 741, 1453, 1683, 1007, 4030, 883, 519, 1072, 2360, 540, 5982, 4598, 269, 634, 2090, 941, 3366, 676, 3173, 693, 22078, 295, 779, 2817, 9435, 4659, 269, 11778, 941, 3370, 593, 4989, 476, 2420, 267, 476, 1708, 272, 267, 538, 3163, 563, 3080, 540, 519, 2090, 267, 3366, 676, 3220, 338, 269, 15537, 26960, 1442, 543, 631, 1229, 603, 14717, 4526, 267, 8947, 2436, 5982, 4598, 3123, 4719, 3441, 602, 666, 581, 5293, 547, 15556, 269, 634, 3173, 3524, 10642, 519, 25450, 540, 476, 9873, 1453, 543, 741, 3237, 269, 634, 3237, 1185, 2901, 5249, 593, 7738, 909, 1310, 519, 8009, 610, 941, 17355, 18050, 689, 519, 7404, 4884, 269, 634, 1453, 941, 782, 4535, 693, 2547, 476, 5379, 4374, 1310, 519, 8009, 543, 909, 547, 519, 1032, 476, 1220, 273, 269, 634, 3744, 6059, 1142, 2385, 779, 5982, 4598, 1759, 593, 3237, 685, 5359, 540, 741, 2534, 543, 1702, 540, 2825, 5982, 1472, 519, 1379, 2030, 563, 763, 2319, 6743, 585, 4351, 267, 21245, 13592, 602, 7018, 538, 519, 3237, 685, 14203, 543, 5798, 269, 6270, 968, 1372, 18051, 334, 892, 13592, 786, 2408, 538, 1453, 779, 25450, 855, 711, 538, 2901, 2385, 779, 269, 634, 1297, 540, 667, 301, 16039, 1336, 538, 519, 1453, 729, 2147, 547, 602, 538, 519, 2489, 2551, 269, 901, 5267, 602, 1004, 6534, 547, 5982, 689, 519, 595, 3062, 984, 2643, 8009, 4769, 1406, 1780, 593, 1022, 8801, 2360, 547, 741, 1453, 563, 10527, 5982, 13066, 538, 3567, 616, 1634, 547, 723, 1044, 2539, 982, 1346, 6592, 693, 595, 3062, 984, 2643, 3034, 2750, 17068, 547, 14599, 22752, 689, 519, 595, 3062, 984, 2643, 8009, 3361, 606, 2799, 1981, 540, 11178, 2860, 269, 476, 14530, 296, 3947, 1055, 5982, 602, 9397, 519, 3114, 7554, 538, 5027, 269, 631, 20706, 666, 1106, 950, 519, 1560, 8942, 547, 7816, 891, 7554, 269, 769, 519, 2034, 1353, 267, 3366, 676, 26960, 1442, 543, 3220, 269, 14811, 25669, 18200, 517, 267, 519, 3173, 3524, 10642, 519, 25450, 540, 11178, 11871, 689, 476, 3374, 280, 1004, 945, 941, 6534, 547, 9357, 1944, 5982, 689, 519, 8009, 2901, 607, 1453, 610, 538, 519, 27042, 269, 774, 8557, 11871, 689, 476, 10037, 5805, 12723, 1004, 4535, 811, 982, 8370, 3275, 1310, 519, 8009, 941, 1031, 585, 6476, 563, 763, 3173, 1336, 602, 12970, 538, 1346, 6534, 547, 2362, 5982, 13066, 267, 3226, 693, 7820, 6502, 267, 1185, 811, 13592, 16109, 689, 5027, 5595, 3613, 8681, 9397, 1765, 15290, 1312, 5027, 22204, 616, 7745, 269, 4107, 4122, 267, 891, 13592, 941, 1336, 538, 782, 519, 2281, 538, 519, 10510, 269, 901, 5267, 602, 519, 5982, 5829, 3441, 7018, 2038, 538, 519, 10510, 779, 1646, 563, 2690, 5176, 782, 519, 12970, 267, 519, 3173, 941, 2111, 547, 2697, 1808, 13592, 538, 968, 323, 18182, 892, 6090, 602, 13087, 519, 12970, 547, 1332, 543, 7639, 269, 4107, 540, 891, 941, 538, 6090, 5892, 2404, 609, 11178, 2860, 269, 2311, 2362, 5982, 13066, 267, 9920, 13592, 941, 811, 2693, 547, 1267, 689, 513, 1880, 1826, 540, 5470, 602, 779, 5189, 950, 5027, 5595, 3613, 8681, 9397, 616, 30465, 563, 4322, 2164, 1683, 513, 5748, 585, 2417, 2090, 540, 519, 12205, 1063, 5982, 9570, 267, 2085, 267, 543, 2860, 1981, 269, 1358, 849, 9414, 519, 1871, 540, 519, 19777, 29347, 6036, 602, 941, 6394, 676, 3173, 538, 12907, 1310, 519, 8009, 563, 763, 960, 540, 519, 11660, 9730, 593, 10819, 540, 519, 5113, 267, 5267, 602, 519, 595, 3062, 984, 2643, 1775, 901, 568, 14356, 1813, 547, 519, 1249, 602, 519, 24745, 5950, 693, 595, 3062, 984, 2643, 22157, 547, 581, 3476, 24331, 982, 1346, 5950, 676, 519, 1033, 29396, 540, 10570, 23038, 563, 763, 2804, 3441, 3361, 676, 519, 9568, 568, 6059, 693, 1269, 20720, 5479, 269, 0, 347, 19613, 1475, 22013, 17368, 324, 1315, 590, 529, 7288, 9767, 1315, 670, 3518, 1245, 339, 17521, 267, 4993, 267, 2136, 2276, 2008, 347, 10468, 11732, 2749, 1475, 290, 29266, 4975, 267, 4993, 2008, 347, 22704, 1475, 9264, 267, 26764, 14143, 630, 278, 4375, 269, 6507, 5998, 273, 10245, 347, 294, 1478, 940, 1560, 1475, 308, 2529, 269, 11206, 6796, 2008, 763, 590, 529, 7288, 9767, 8187, 15227, 568, 513, 5313, 19069, 1858, 11280, 676, 519, 8574, 540, 519, 4993, 8187, 15227, 2920, 540, 476, 2735, 275, 269, 20323, 267, 519, 2244, 1858, 729, 476, 14631, 267, 1822, 14143, 630, 30663, 5998, 273, 264, 634, 8832, 4993, 8187, 11595, 2920, 540, 476, 1220, 277, 3773, 476, 1789, 267, 14338, 14143, 630, 13199, 269, 3445, 5998, 273, 264, 585, 519, 1699, 2698, 540, 476, 9264, 267, 26764, 14143, 630, 278, 4375, 269, 6507, 5998, 273, 1040, 2353, 540, 519, 19069, 568, 538, 8832, 4993, 543, 568, 7307, 676, 519, 772, 2529, 269, 11206, 6796, 269, 634, 19069, 21269, 1614, 3084, 7733, 281, 519, 681, 4084, 5211, 1700, 306, 529, 7288, 9767, 267, 519, 918, 4594, 987, 267, 543, 519, 14520, 23117, 563, 763, 590, 529, 7288, 9767, 15142, 1106, 835, 540, 519, 13074, 6024, 1212, 7370, 538, 519, 918, 4594, 987, 15142, 3148, 269, 29175, 725, 2039, 689, 476, 278, 3583, 3952, 630, 15996, 544, 264, 547, 519, 21895, 540, 2776, 8725, 30078, 693, 476, 278, 267, 29616, 3952, 630, 273, 267, 25248, 544, 264, 1657, 4262, 1377, 269, 7066, 526, 532, 538, 513, 5087, 1700, 338, 1926, 4287, 689, 519, 14822, 8473, 1524, 547, 2282, 519, 4884, 540, 1284, 3558, 29347, 543, 476, 736, 5195, 630, 3953, 5998, 264, 24654, 689, 519, 7414, 7909, 267, 519, 590, 529, 7288, 344, 748, 616, 12297, 1540, 676, 22586, 19589, 8375, 936, 476, 277, 267, 1822, 3952, 630, 272, 267, 8517, 544, 264, 689, 519, 4478, 1970, 4133, 563, 763, 590, 529, 7288, 9767, 8187, 15227, 3568, 513, 3309, 4015, 540, 598, 11717, 2249, 1519, 678, 541, 885, 971, 607, 14522, 524, 25729, 267, 5800, 2107, 5112, 524, 25729, 267, 543, 519, 918, 4594, 987, 15142, 15134, 2438, 30179, 518, 838, 16078, 20193, 568, 8037, 585, 519, 5318, 5666, 540, 2025, 3766, 9512, 7733, 543, 1082, 21049, 2249, 540, 3552, 25154, 267, 19211, 543, 4054, 267, 607, 1134, 607, 835, 540, 519, 1158, 781, 4102, 9830, 540, 561, 25788, 563, 763, 19069, 568, 1753, 547, 1896, 4686, 2249, 267, 1519, 530, 565, 591, 710, 267, 31994, 267, 13278, 267, 7187, 19481, 22559, 543, 17619, 1714, 330, 269, 1703, 568, 849, 3109, 7703, 267, 3109, 26904, 13650, 267, 543, 1082, 8677, 540, 5017, 269, 634, 2312, 12535, 1683, 838, 27681, 12406, 585, 5374, 3650, 267, 1071, 14833, 543, 25590, 809, 13687, 563, 763, 13068, 15880, 2817, 28046, 20417, 22613, 476, 736, 269, 276, 5195, 630, 3451, 269, 271, 5998, 264, 540, 519, 7187, 6712, 543, 2488, 1569, 547, 930, 540, 519, 811, 29271, 2694, 540, 519, 19069, 31539, 2282, 519, 918, 4594, 987, 5211, 547, 519, 8055, 5211, 630, 30210, 264, 7941, 269, 769, 519, 7013, 851, 540, 519, 19069, 267, 519, 22398, 8124, 2817, 28046, 20417, 5956, 693, 19594, 8235, 267, 543, 519, 4810, 554, 32304, 666, 3802, 585, 827, 476, 736, 5195, 630, 3953, 5998, 264, 547, 519, 8055, 5211, 269, 634, 1034, 8185, 10272, 2127, 616, 538, 519, 22070, 7944, 540, 519, 3148, 1765, 935, 1417, 3603, 593, 18162, 602, 1291, 547, 12647, 269, 13518, 540, 519, 1858, 19330, 18162, 543, 568, 2352, 547, 1569, 3444, 28029, 787, 1317, 540, 519, 10053, 11453, 269, 634, 8262, 20584, 20417, 21986, 525, 519, 30160, 540, 519, 19069, 689, 5087, 547, 5045, 267, 998, 930, 540, 519, 1034, 6552, 2127, 563, 347, 20458, 1239, 585, 590, 529, 7288, 9767, 2817, 8187, 15227, 2008, 347, 13434, 867, 1164, 11019, 293, 630, 4113, 290, 10534, 7597, 2008, 24820, 2071, 1164, 11019, 293, 630, 4113, 290, 10534, 2004, 2008, 24820, 2071, 1970, 11019, 293, 630, 4113, 290, 10534, 4029, 2008, 347, 13434, 867, 1970, 11019, 293, 630, 4113, 290, 10534, 278, 2008, 24820, 2071, 13247, 6279, 630, 7825, 10534, 280, 269, 1626, 2008, 24820, 2071, 6777, 6420, 6279, 630, 9492, 10534, 274, 269, 2412, 2008, 763, 918, 4594, 987, 15142, 616, 513, 27726, 543, 21066, 20651, 7823, 2039, 538, 32720, 4993, 543, 27623, 14822, 538, 519, 7262, 2136, 2276, 269, 1306, 513, 7823, 1062, 1369, 1312, 519, 3152, 7414, 11076, 681, 5190, 543, 519, 4993, 11076, 681, 5190, 267, 519, 918, 4594, 987, 15142, 723, 513, 9867, 20569, 267, 609, 8101, 2127, 540, 1583, 25871, 9548, 543, 18899, 267, 543, 513, 2916, 6353, 676, 26815, 4411, 24475, 609, 1360, 5230, 6777, 6420, 543, 3636, 267, 1360, 3819, 28782, 609, 3908, 11811, 267, 2523, 538, 519, 5045, 269, 1306, 513, 12343, 540, 519, 20569, 543, 3037, 2010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2018, 1775, 815, 1775, 12262, 476, 273, 692, 825, 1219, 25576, 291, 1144, 4311, 267, 1775, 2187, 1038, 1247, 1775, 2608, 476, 273, 10922, 1582, 25915, 912, 2018, 26818, 815, 1582, 269, 2381, 21609, 9217, 994, 2018, 952, 1582, 11519, 515, 777, 8266, 5157, 316, 3436, 1582, 11519, 515, 777, 8266, 314, 32508, 14158, 3546, 1582, 269, 1873, 777, 9217, 267, 26818, 994, 2018, 1775, 815, 26818, 692, 825, 1219, 1295, 21609, 4311, 267, 1775, 2187, 1038, 952, 630, 328, 265, 273, 264, 1341, 476, 272, 3436, 1582, 25915, 912, 2018, 2132, 1775, 2608, 476, 273, 454, 1038, 3116, 912, 2018, 2451, 815, 1775, 2608, 476, 273, 454, 2018, 1318, 815, 1775, 2608, 476, 273, 1341, 476, 272, 454, 2018, 952, 1582, 11519, 515, 777, 8266, 314, 3847, 316, 2999, 1582, 11519, 515, 777, 8266, 314, 2431, 14158, 3546, 2132, 2451, 454, 2018, 3116, 912, 3546, 2132, 1318, 692, 825, 1219, 7696, 4311, 267, 1883, 2187, 1038, 1582, 11519, 515, 777, 8266, 6910, 31107, 994, 1038, 1582, 25915, 6834, 476, 272, 454, 1038, 1582, 269, 704, 322, 10000, 4311, 25915, 2020, 825, 1219, 18419, 4311, 267, 1883, 2187, 1038, 4994, 815, 1582, 26098, 19340, 8170, 7659, 31107, 994, 1038, 1582, 11519, 515, 777, 8266, 27709, 316, 815, 1582, 11519, 515, 777, 8266, 314, 1345, 25915, 2639, 1038, 1582, 11519, 515, 777, 8266, 21014, 4590, 1038, 1582, 25915, 20699, 476, 272, 454, 1038, 1582, 269, 704, 322, 291, 1144, 263, 8161, 2020, 825, 1219, 1265, 19340, 8170, 7659, 4311, 267, 1883, 2187, 1038, 585, 4994, 267, 1871, 538, 26246, 4311, 11519, 515, 777, 8266, 2187, 2018, 952, 1871, 2652, 1883, 912, 3546, 2132, 4994, 692, 825, 1219, 1205, 14737, 3065, 4311, 2187, 1038, 2132, 1582, 11519, 515, 777, 8266, 314, 272, 316, 1948, 2381, 3891, 777, 865, 10545, 3693, 786, 2141, 581, 693, 3597, 692, 825, 1219, 2638, 2690, 23330, 566, 4311, 267, 2418, 2187, 1038, 1948, 19073, 321, 15630, 4671, 15869, 4590, 1038, 952, 2418, 314, 271, 316, 2652, 476, 272, 912, 2018, 1948, 12133, 542, 454, 2018, 1582, 27044, 263, 11161, 314, 272, 7481, 1038, 952, 2418, 314, 271, 316, 2652, 476, 273, 912, 2018, 1948, 1372, 2280, 542, 454, 2018, 1582, 19709, 8541, 263, 11161, 314, 272, 7481, 1038, 952, 2418, 314, 271, 316, 2652, 476, 274, 912, 2018, 1948, 2745, 5934, 540, 782, 2609, 538, 519, 24050, 454, 2018, 2132, 1582, 10947, 14737, 3065, 10797, 5035, 4530, 3891, 777, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 1219, 1305, 10000, 4311, 2187, 1038, 1582, 269, 515, 777, 815, 1295, 3891, 777, 4590, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 30525, 4281, 280, 271, 3374, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 14838, 4792, 274, 280, 2641, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 28638, 20542, 276, 3066, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 5392, 275, 276, 2641, 27888, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 14838, 4792, 274, 280, 2641, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 30525, 4281, 280, 271, 3374, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 26951, 27768, 6021, 273, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 22724, 279, 2764, 9340, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 22724, 279, 2764, 9340, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 275, 4792, 4200, 276, 4037, 274, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 5952, 279, 279, 8287, 1428, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 278, 4817, 4817, 279, 278, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 21172, 28883, 7176, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 476, 278, 4817, 4817, 279, 278, 7481, 1038, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 910, 276, 1556, 6795, 272, 5400, 7481, 1038, 1948, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 273, 267, 910, 276, 1556, 6795, 272, 5400, 7481, 1038, 1948, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 272, 267, 476, 278, 4817, 4817, 279, 278, 316, 9239, 825, 1219, 1449, 318, 1326, 14737, 3065, 4311, 2187, 1038, 1267, 815, 1582, 269, 515, 777, 269, 13765, 2690, 23330, 566, 8443, 274, 7481, 1038, 1582, 27863, 31114, 267, 910, 276, 1556, 6795, 272, 5400, 2020, 692, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1770, 11687, 6230, 664, 4590, 0, 258, 5932, 513, 1592, 733, 1456, 2418, 689, 476, 272, 268, 736, 454, 3240, 8217, 815, 27883, 343, 1341, 476, 272, 264, 585, 1535, 538, 2039, 263, 736, 22708, 2745, 3488, 763, 1592, 5627, 2418, 689, 476, 272, 268, 736, 568, 32473, 22207, 1250, 8217, 994, 258, 1592, 8223, 602, 10945, 782, 9642, 2418, 540, 1592, 8223, 454, 3240, 8217, 318, 15957, 5334, 32464, 815, 1496, 343, 20080, 952, 1535, 4939, 476, 273, 3116, 1535, 585, 1535, 538, 1250, 8217, 2639, 2745, 3488, 763, 1657, 1592, 609, 9642, 2418, 16302, 568, 32473, 22207, 1250, 8217, 318, 15957, 5334, 32464, 994, 258, 7662, 513, 1297, 689, 3593, 454, 15893, 815, 11713, 1721, 1775, 538, 2039, 263, 275, 2187, 825, 1297, 6910, 17301, 9272, 3488, 11767, 1297, 15079, 281, 29717, 8971, 9217, 1341, 476, 272, 4297, 4917, 15893, 31699, 4590, 2745, 3488, 306, 9285, 1592, 540, 2338, 9411, 568, 32473, 22207, 1297, 2020, 0, 1721, 1775, 538, 2039, 263, 1321, 2187, 825, 1775, 284, 328, 266, 272, 454, 825, 585, 1535, 538, 2039, 263, 1321, 2187, 1038, 1535, 815, 1535, 266, 272, 454, 1038, 586, 815, 1775, 20080, 454, 1038, 1820, 19304, 9217, 264, 1341, 834, 1535, 834, 1341, 1193, 3287, 264, 1341, 834, 815, 834, 1341, 1193, 12169, 4917, 825, 1820, 2891, 10900, 734, 8442, 0, 692, 12528, 19152, 815, 703, 9272, 2891, 6943, 1297, 540, 707, 4829, 2433, 27328, 3240, 293, 21209, 815, 1305, 4590, 6112, 7003, 30044, 293, 21209, 264, 2999, 3593, 19152, 10778, 825, 1250, 293, 21209, 14491, 9272, 2891, 293, 8816, 2433, 27328, 825, 1820, 30044, 293, 21209, 264 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 31933, 543, 22488, 267, 17333, 1562, 616, 513, 7772, 547, 4585, 607, 789, 6335, 543, 4685, 538, 519, 1216, 563, 2690, 1082, 1296, 938, 5065, 20195, 22057, 610, 3864, 17333, 614, 630, 27023, 881, 2012, 700, 583, 571, 700, 583, 571, 264, 814, 1044, 593, 519, 1490, 1074, 540, 14486, 538, 519, 5177, 543, 31986, 835, 538, 519, 3552, 1131, 723, 1044, 3592, 7543, 267, 855, 2221, 596, 616, 811, 2693, 547, 1294, 835, 982, 693, 1022, 942, 538, 519, 2063, 476, 2568, 1296, 563, 12988, 689, 519, 1490, 1074, 540, 14486, 454, 292, 584, 22057, 17333, 614, 2338, 3459, 19394, 538, 519, 476, 4198, 271, 338, 2394, 519, 2249, 2968, 3592, 17255, 538, 4789, 543, 12986, 267, 4352, 513, 1507, 2551, 15068, 538, 10430, 269, 2755, 10122, 543, 7226, 2530, 5129, 513, 851, 267, 5533, 540, 938, 25825, 689, 6694, 6464, 729, 14042, 547, 17333, 614, 5095, 269, 8729, 5631, 547, 5726, 3646, 267, 538, 519, 2038, 476, 1960, 271, 338, 891, 6464, 941, 17049, 543, 607, 1216, 2298, 7444, 2799, 865, 1705, 17333, 614, 2338, 563, 9213, 267, 519, 20195, 22057, 17333, 614, 2551, 568, 2810, 630, 24392, 621, 3788, 14033, 21784, 2989, 593, 519, 4414, 5903, 264, 543, 1169, 10315, 538, 519, 5177, 1631, 814, 513, 3552, 17333, 614, 2551, 563, 4415, 2110, 17873, 267, 1357, 5523, 3952, 543, 32356, 519, 20195, 22057, 17333, 614, 568, 1360, 1134, 9862, 547, 922, 1216, 344, 1604, 269, 898, 814, 3810, 6213, 31953, 619, 267, 543, 606, 8650, 2631, 540, 8289, 267, 9329, 543, 6217, 865, 621, 666, 3713, 10352, 538, 9597, 5652, 7297, 563, 8489, 798, 3552, 17333, 1562, 2661, 267, 543, 875, 666, 596, 1294, 835, 538, 519, 5177, 888, 292, 584, 22057, 17333, 1562, 616, 6805, 547, 519, 5177, 543, 666, 581, 1336, 538, 2901, 4195, 610, 6070, 1216, 267, 4352, 621, 779, 2356, 1634, 607, 519, 5757, 17333, 614, 585, 519, 6654, 2601, 269, 5221, 17333, 1562, 3548, 5631, 3165, 267, 596, 3580, 3622, 1265, 873, 538, 2127, 1141, 972, 616, 7899, 540, 713, 1426, 2707, 269, 1358, 849, 3548, 12933, 30702, 267, 20883, 543, 1256, 1507, 1216, 5017, 269, 769, 15195, 789, 3049, 593, 29607, 543, 13687, 269, 4014, 519, 20195, 22057, 17333, 614, 3884, 1406, 513, 7286, 3662, 630, 18484, 1406, 25657, 621, 609, 513, 4262, 17333, 614, 267, 799, 616, 1152, 1336, 538, 519, 7414, 264, 1317, 621, 666, 1406, 7639, 1510, 4195, 1216, 267, 789, 616, 1419, 1336, 538, 9381, 9249, 607, 1134, 607, 12647, 267, 8933, 543, 12535, 563, 9928, 582, 1633, 568, 519, 1655, 1747, 538, 519, 5177, 547, 1294, 873, 543, 3226, 593, 519, 5032, 267, 1141, 789, 616, 3622, 811, 3742, 1282, 519, 1554, 269, 6736, 4742, 3592, 17255, 689, 4789, 543, 12986, 17333, 1562, 723, 7307, 547, 8853, 593, 10430, 779, 27726, 5032, 6050, 543, 3552, 544, 3233, 4133, 543, 2221, 17333, 614, 2338, 972, 616, 2219, 547, 9765, 476, 279, 267, 1822, 563, 763, 7178, 5032, 540, 519, 4400, 4133, 267, 519, 1772, 548, 540, 4787, 6614, 543, 519, 1772, 548, 540, 631, 1638, 616, 1390, 17333, 614, 1193, 517, 724, 9529, 267, 1141, 789, 666, 581, 2182, 547, 4413, 269, 8191, 19257, 3554, 11023, 28002, 267, 538, 1200, 1433, 17305, 614, 13474, 267, 4330, 519, 12404, 693, 19109, 2401, 9996, 593, 4787, 6614, 607, 606, 2048, 302, 339, 614, 10093, 9957, 13185, 547, 1022, 13278, 2006, 2059, 519, 5032, 267, 543, 596, 2461, 2693, 547, 5873, 602, 789, 1175, 4718, 835, 602, 6640, 1107, 3006, 3843, 547, 10788, 720, 741, 6952, 256, 634, 967, 5034, 5032, 3515, 267, 3638, 538, 32420, 543, 609, 15195, 7404, 538, 8933, 543, 20115, 1118, 519, 3501, 17333, 614, 7226, 563, 8450, 3552, 17333, 1562, 693, 13431, 307, 18013, 454, 4263, 13431, 307, 649, 723, 3552, 17333, 1562, 2713, 593, 782, 938, 14425, 269, 2311, 590, 3916, 8822, 972, 616, 2834, 17333, 614, 8436, 547, 519, 3751, 325, 8718, 31674, 543, 693, 6115, 17333, 1562, 723, 1500, 519, 29649, 18848, 3019, 741, 1753, 269, 1358, 849, 5781, 7693, 909, 593, 519, 700, 17427, 22088, 15395, 538, 12986, 269, 634, 4527, 540, 17333, 1562, 6645, 721, 513, 2603, 827, 519, 1072, 540, 938, 19126, 267, 519, 8902, 513, 26868, 543, 938, 25825, 616, 519, 811, 17333, 1562, 621, 786, 581, 5885, 563, 291, 9665, 17305, 614, 713, 6640, 593, 519, 23203, 267, 13431, 307, 6115, 1765, 6424, 667, 1231, 2917, 31822, 26903, 22139, 292, 770, 264, 5988, 476, 2918, 267, 476, 1001, 278, 454, 1432, 513, 1490, 1393, 267, 729, 13085, 547, 4585, 621, 21556, 519, 6329, 269, 287, 300, 2459, 531, 318, 306, 1539, 1214, 7711, 26903, 20084, 17552, 6745, 342, 7867, 2593, 270, 7246, 302, 330, 293, 271, 311, 338, 11011, 454, 1432, 1058, 594, 1413, 585, 543, 1141, 888, 302, 339, 1562, 5749, 1406, 519, 1655, 693, 8720, 741, 13475, 799, 568, 513, 1390, 948, 547, 4896, 593, 519, 1413, 719, 585, 835, 269, 1358, 616, 7068, 540, 4356, 543, 4043, 547, 1246, 519, 1482, 11507, 267, 21409, 607, 1454, 593, 2244, 607, 789, 798, 538, 1216, 563, 268, 17305, 1562, 616, 26776, 7068, 543, 596, 1522, 1134, 5873, 873, 1354, 596, 1294, 873, 269, 5901, 606, 1274, 856, 585, 1085, 4599, 17331, 267, 10943, 4770, 543, 2695, 324, 1136, 563, 268, 6733, 585, 513, 544, 28854, 267, 10859, 2275, 1844, 983, 13472, 883, 519, 5757, 563, 268, 17305, 1562, 723, 2947, 32356, 865, 621, 779, 2653, 547, 2995, 606, 17333, 614, 11640, 689, 1034, 824, 2831, 269, 634, 12362, 1977, 544, 1074, 849, 814, 2947, 19462, 267, 855, 519, 21181, 616, 1454, 7522, 518, 543, 519, 32356, 811, 11329, 563, 268, 17305, 614, 5323, 25940, 267, 610, 838, 571, 6493, 267, 616, 1419, 1031, 547, 1665, 8513, 1107, 1413, 585, 873, 2059, 519, 5757, 4871, 610, 593, 7725, 269, 1358, 616, 513, 3039, 344, 3109, 7990, 543, 616, 1419, 4330, 607, 1159, 2454, 899, 5810, 2336, 763, 476, 1015, 1655, 4025, 547, 1413, 585, 17333, 1562, 543, 741, 4191, 454, 10214, 1498, 972, 616, 811, 540, 873, 827, 17333, 1562, 616, 1869, 2182, 547, 5544, 269, 1358, 616, 3728, 267, 6923, 5728, 633, 543, 2356, 27248, 269, 17305, 1562, 3049, 693, 21554, 543, 546, 23677, 865, 519, 1079, 3108, 1354, 616, 3622, 519, 1655, 942, 585, 17333, 614, 31986, 269, 1358, 9742, 782, 1032, 5180, 267, 855, 538, 519, 5177, 17333, 1562, 4043, 547, 723, 741, 1762, 630, 21406, 4996, 1186, 264, 538, 519, 4832, 3275, 865, 693, 713, 942, 540, 1032, 267, 596, 1796, 513, 1732, 4960, 540, 1350, 31663, 532, 513, 8289, 540, 873, 538, 8933, 543, 9381, 19126, 269, 5901, 606, 3750, 856, 585, 873, 912, 268, 7201, 543, 2282, 13123, 454, 268, 2201, 8492, 1938, 454, 268, 2201, 536, 746, 619, 610, 7725, 2901, 538, 5757, 610, 2282, 519, 5757, 454, 268, 2201, 2025, 3529, 588, 7927, 610, 20743, 454, 268, 2311, 2901, 1439, 540, 30246, 10092, 454, 268, 2201, 18574, 8492, 454, 268, 769, 5070, 543, 544, 28854, 2127, 454, 268, 15907, 22253, 543, 12647, 454, 268, 769, 23047, 1127, 610, 556, 539, 15135, 454, 268, 2311, 5757, 15118, 2388, 610, 28963, 454, 292, 584, 22057, 17333, 1562, 3068, 1007, 4220, 454, 9213, 606, 17333, 614, 779, 1292, 3463, 568, 689, 1018, 649, 2322, 538, 519, 1216, 269, 2859, 543, 811, 15244, 540, 5061, 543, 11955, 267, 543, 519, 5068, 26005, 1336, 538, 608, 9110, 328, 1218, 267, 616, 1373, 1336, 538, 8933, 267, 543, 789, 2461, 849, 1373, 1336, 538, 17333, 1562, 685, 4703, 563, 2690, 9381, 23029, 17333, 1562, 267, 3282, 21383, 568, 513, 1483, 8594, 269, 634, 3687, 577, 7297, 1063, 4787, 6614, 543, 519, 4934, 518, 1261, 1962, 1938, 267, 1141, 1082, 17333, 1562, 2661, 267, 568, 1869, 513, 2101, 7382, 518, 8905, 269, 17305, 1562, 616, 2219, 547, 581, 2523, 7925, 547, 519, 2360, 540, 3282, 269, 1703, 616, 1082, 4128, 585, 713, 267, 1519, 741, 1507, 2450, 267, 513, 1164, 10894, 2557, 267, 513, 2347, 16126, 593, 741, 9663, 585, 8143, 10072, 543, 1279, 5712, 6170, 13735, 538, 519, 1216, 1141, 3282, 814, 6394, 563, 4517, 952, 596, 1616, 547, 10018, 7487, 606, 17333, 614, 7498, 2252, 596, 1810, 1406, 1294, 835, 267, 596, 666, 2141, 3643, 9410, 631, 699, 610, 5507, 22911, 1633, 10418, 547, 1294, 930, 540, 938, 17055, 7489, 6879, 677, 804, 31090, 267, 610, 590, 3916, 8822, 547, 1294, 938, 3345, 1977, 5757, 17333, 1562, 630, 16269, 2461, 711, 27248, 267, 865, 596, 2461, 811, 2693, 547, 1205, 513, 19214, 8094, 268, 589, 1895, 540, 5757, 17333, 1562, 568, 1634, 607, 513, 6535, 335, 454, 268, 634, 2990, 540, 922, 4064, 616, 1164, 593, 922, 2212, 799, 1797, 621, 666, 1294, 856, 540, 519, 1216, 15029, 519, 1964, 540, 922, 1560, 13978, 24760, 2630, 910, 899, 513, 20361, 334, 2336, 268, 17305, 1562, 5968, 1210, 741, 838, 571, 842, 630, 323, 549, 25940, 1040, 3683, 476, 1911, 1114, 3334, 723, 1044, 4857, 1369, 17333, 614, 5323, 25940, 543, 930, 540, 891, 616, 2219, 547, 2270, 1344, 593, 3023, 267, 2085, 543, 1256, 1367, 6284, 799, 666, 581, 1031, 676, 824, 17333, 1562, 454, 268, 1879, 621, 779, 14015, 519, 17333, 614, 666, 2673, 922, 10772, 543, 9224, 855, 666, 1152, 3180, 922, 7362, 585, 827, 476, 1789, 7643, 454, 268, 1323, 17333, 614, 779, 5394, 9663, 568, 1500, 909, 1079, 6106, 267, 513, 5394, 9018, 28890, 835, 7863, 513, 3636, 6418, 835, 269, 634, 9663, 20637, 513, 4494, 540, 2011, 32229, 519, 17333, 614, 0, 10112, 1539, 725, 6168, 4889, 725, 609, 2681, 616, 3989, 267, 538, 851, 676, 28529, 518, 21960, 1066, 519, 2278, 540, 7822, 10017, 543, 7822, 10657, 676, 938, 12823, 267, 1893, 267, 3615, 610, 3029, 663, 7209, 4162, 269, 901, 3296, 6799, 519, 2164, 540, 2681, 12205, 543, 875, 789, 5635, 547, 824, 3370, 2090, 269, 590, 5151, 769, 7681, 609, 5905, 267, 4778, 2408, 3636, 267, 3579, 267, 3819, 267, 543, 6632, 547, 2012, 513, 1906, 563, 19530, 4528, 314, 12575, 9948, 476, 1428, 628, 7160, 540, 519, 27429, 269, 634, 2063, 1614, 12531, 616, 519, 3883, 540, 519, 5729, 3109, 12636, 543, 519, 1079, 31891, 4994, 19826, 12636, 269, 590, 4532, 9220, 27429, 814, 1185, 2185, 2694, 281, 634, 7160, 540, 27429, 8659, 5111, 17288, 8536, 4930, 563, 4913, 267, 972, 616, 17756, 547, 713, 4341, 267, 971, 607, 8878, 2864, 982, 20237, 269, 15080, 609, 9838, 4408, 616, 10288, 1101, 676, 7606, 267, 1287, 676, 4025, 267, 1287, 676, 1919, 269, 681, 592, 619, 609, 9838, 4408, 616, 6896, 1101, 9904, 1227, 676, 2197, 543, 1287, 676, 12225, 1108, 282, 3976, 267, 8176, 8633, 540, 5333, 9551, 525, 8176, 594, 540, 4789, 4289, 539, 538, 27429, 607, 519, 14610, 540, 4279, 6628, 543, 8581, 563, 6546, 568, 267, 789, 616, 9904, 1242, 607, 952, 741, 10643, 941, 834, 28846, 267, 5333, 267, 476, 274, 257, 543, 834, 28846, 267, 4279, 6628, 543, 8581, 267, 476, 272, 2668, 6684, 267, 4025, 602, 2671, 4408, 616, 6896, 9904, 1227, 676, 2197, 267, 1287, 676, 2479, 23337, 718, 518, 2797, 15523, 563, 1103, 4728, 1492, 2754, 9307, 602, 519, 7160, 1131, 581, 519, 2063, 9102, 4528, 269, 901, 729, 9307, 607, 513, 1847, 676, 519, 2754, 547, 3082, 547, 519, 2053, 543, 1445, 593, 922, 2104, 1210, 3059, 3892, 563, 288, 2016, 7160, 540, 519, 3883, 540, 519, 5729, 568, 3957, 538, 2474, 540, 519, 1032, 540, 922, 8313, 267, 1498, 519, 7160, 2965, 6227, 519, 2621, 540, 519, 3105, 1032, 269, 15080, 6580, 1394, 547, 519, 7160, 616, 3769, 2228, 269, 634, 10189, 2882, 513, 2039, 540, 24045, 1543, 1519, 7851, 267, 7044, 267, 3280, 24056, 267, 27515, 543, 1357, 6402, 563, 2005, 849, 3091, 1353, 2645, 543, 8675, 543, 519, 28445, 13366, 689, 8585, 26713, 268, 31812, 269, 27429, 6732, 568, 513, 3896, 609, 811, 982, 14895, 543, 568, 8242, 5781, 269, 22073, 538, 2038, 1492, 27429, 1500, 4930, 11884, 2139, 952, 789, 616, 5409, 15062, 539, 689, 606, 5007, 3135, 563, 15239, 28175, 30533, 619, 616, 6039, 1402, 13522, 543, 10229, 269, 634, 3370, 7160, 540, 519, 679, 9871, 320, 4215, 786, 711, 581, 4299, 676, 519, 2242, 269, 1323, 24215, 30508, 23784, 568, 2441, 710, 27659, 2023, 540, 519, 2160, 540, 10228, 15367, 8329, 476, 2190, 4930, 593, 9325, 6323, 563, 4415, 513, 1661, 518, 640, 3592, 813, 16226, 267, 1496 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 272, 284, 300, 1695, 12118, 11445, 2891, 13070, 639, 14744, 300, 26387, 273, 284, 300, 1695, 12118, 11445, 2891, 289, 27534, 14744, 300, 26387, 274, 284, 300, 1695, 12118, 11445, 2891, 10111, 1503, 14744, 300, 26387, 275, 284, 300, 1695, 12118, 11445, 2891, 291, 8643, 14744, 300, 26387, 276, 284, 300, 1695, 12118, 11445, 2891, 10955, 1189, 14744, 300, 26387, 277, 284, 300, 1695, 12118, 11445, 2891, 293, 518, 549, 14744, 300, 26387, 278, 284, 300, 1695, 12118, 11445, 2891, 294, 639, 323, 584, 14744, 300, 26387, 279, 284, 300, 1695, 12118, 11445, 2891, 295, 531, 574, 14744, 300, 26387, 280, 284, 300, 1695, 12118, 11445, 2891, 296, 345, 9774, 14744, 300, 26387, 1015, 284, 300, 1695, 12118, 11445, 2891, 297, 8932, 14744, 5897, 291, 10762, 541, 300, 1695, 12118, 11445, 815, 1496, 300, 26387, 273, 267, 300, 26387, 272, 267, 300, 26387, 275, 267, 300, 26387, 274, 267, 300, 26387, 280, 267, 300, 26387, 1015, 267, 300, 26387, 279, 267, 300, 26387, 277, 267, 300, 26387, 278, 267, 300, 26387, 276, 316, 5897, 258, 1820, 2891, 5353, 10964, 636, 1019, 8585, 613, 14826, 14744, 258, 512, 2086, 559, 291, 10762, 541, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 258, 1820, 19629, 333, 14744, 258, 1820, 2891, 13729, 601, 1695, 1019, 8585, 613, 14826, 14744, 16936, 26211, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 258, 512, 2086, 559, 291, 10762, 541, 20573, 10762, 541, 300, 1695, 12118, 11445, 3418, 5897, 258, 12971, 476, 273, 1477, 5035, 29571, 24998, 8029, 453, 18851, 25269, 11415, 585, 29571, 18851, 1477, 22592, 6449, 8181, 9191, 1345, 8029, 453, 19677, 269, 14403, 17342, 316, 5897, 22592, 568, 10387, 27679, 4311, 8029, 453, 16596, 7003, 4311, 264, 2525, 271, 5897, 22592, 6449, 6352, 9191, 1345, 8029, 453, 16596, 7003, 4311, 269, 14403, 10142, 22592, 32708, 4311, 8029, 453, 453, 16386, 711, 1582, 18994, 10387, 27679, 19572, 834, 1805, 871, 568, 2506, 27679, 29177, 453, 16596, 1582, 29096, 15631, 272, 316, 5897, 22592, 1402, 4311, 8029, 453, 453, 16386, 711, 1582, 18994, 10387, 27679, 19572, 834, 1805, 871, 568, 2506, 27679, 29177, 453, 16596, 1582, 269, 14403, 21014, 31476, 22592, 7903, 4311, 267, 1239, 8029, 453, 19677, 269, 14403, 6910, 16597, 3418, 3240, 1805, 871, 284, 1805, 871, 14052, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 271, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 272, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 273, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 274, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 275, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 276, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 277, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 278, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 279, 29573, 3240, 1805, 871, 4877, 2313, 20573, 10762, 541, 300, 1695, 12118, 11445, 314, 280, 29573, 5897, 258, 1820, 30044, 1805, 871, 21014, 3890, 3418, 258, 1820, 30044, 1805, 871, 269, 14403, 314, 279, 29573, 0, 5035, 2494, 639, 807, 24998, 2187, 453, 18851, 4147, 2494, 639, 807, 3954, 1146, 538, 529, 658, 562, 4821, 12163, 453, 651, 3385, 534, 6889, 331, 777, 541, 257, 28768, 22592, 6449, 8181, 9191, 1345, 267, 562, 4821, 2187, 453, 19677, 8542, 4821, 284, 333, 4821, 692, 22592, 579, 5115, 16988, 306, 15401, 4311, 2187, 453, 13537, 2891, 306, 15401, 267, 21601, 27495, 14307, 1582, 8542, 4821, 2020, 22592, 544, 31703, 4311, 267, 521, 2187, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 544, 31703, 14307, 1582, 4732, 994, 453, 453, 651, 3385, 534, 6889, 5287, 344, 836, 5016, 22592, 10153, 1695, 4048, 320, 4311, 267, 737, 2187, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 4234, 328, 7315, 14307, 737, 994, 453, 453, 651, 3385, 534, 6889, 331, 777, 541, 5016, 22592, 544, 1263, 531, 1731, 534, 291, 523, 1146, 291, 7699, 4311, 267, 562, 2187, 453, 16596, 562, 265, 273, 692, 5035, 10067, 12118, 11445, 263, 10048, 639, 807, 2187, 453, 18851, 25269, 11415, 585, 10067, 12118, 11445, 12163, 22592, 6449, 8181, 9191, 1345, 267, 562, 4821, 267, 562, 574, 267, 737, 7974, 267, 721, 2187, 453, 453, 18851, 18404, 1712, 538, 529, 807, 328, 538, 328, 2367, 583, 1575, 328, 1558, 1712, 538, 529, 5362, 328, 1362, 1019, 693, 553, 12163, 453, 19677, 8542, 4821, 284, 333, 4821, 454, 453, 19677, 8542, 574, 284, 333, 574, 454, 453, 19677, 21993, 7974, 284, 330, 7974, 454, 453, 19677, 269, 340, 836, 306, 27495, 284, 639, 692, 22592, 6449, 1598, 9191, 2187, 453, 453, 338, 284, 1345, 8542, 4821, 1341, 14307, 715, 8379, 834, 1341, 562, 574, 26444, 453, 453, 266, 476, 834, 269, 570, 532, 6549, 1019, 834, 266, 1582, 21993, 7974, 26444, 453, 453, 266, 476, 834, 269, 772, 836, 590, 27495, 681, 335, 834, 1341, 1598, 4311, 269, 340, 836, 306, 27495, 264, 26444, 453, 453, 266, 834, 27764, 777, 4439, 2335, 5984, 5016, 453, 16596, 521, 692, 22592, 5605, 559, 301, 4821, 4311, 2187, 453, 16596, 1582, 8542, 4821, 692, 22592, 5605, 559, 301, 574, 4311, 2187, 453, 16596, 1582, 8542, 574, 692, 22592, 5605, 559, 308, 836, 306, 27495, 4311, 2187, 453, 16596, 1582, 269, 340, 836, 306, 27495, 692, 22592, 5605, 559, 298, 7974, 307, 532, 6549, 4311, 2187, 453, 16596, 1582, 21993, 7974, 692, 22592, 544, 31703, 4311, 267, 521, 2187, 453, 453, 18851, 5450, 1712, 538, 328, 9093, 583, 1575, 328, 1558, 1712, 544, 752, 2335, 5984, 1362, 812, 639, 807, 12163, 453, 13537, 2891, 306, 11535, 3046, 340, 1094, 10937, 544, 31703, 14307, 521, 267, 834, 590, 3711, 559, 5617, 1690, 541, 5602, 453, 19677, 269, 651, 3385, 534, 8782, 5287, 344, 836, 28847, 22592, 829, 8663, 14241, 298, 7974, 307, 532, 6549, 4311, 267, 737, 7974, 21574, 340, 2187, 453, 19677, 21993, 7974, 284, 330, 7974, 21574, 340, 692, 22592, 512, 3711, 1695, 308, 836, 306, 27495, 4311, 267, 512, 3387, 327, 308, 836, 2187, 453, 14851, 1826, 6025, 3387, 327, 308, 836, 264, 568, 711, 703, 281, 6318, 28759, 2891, 10574, 4498, 639, 21850, 5602, 453, 19677, 269, 340, 836, 306, 27495, 23785, 339, 3387, 327, 308, 836, 692, 3698, 32386, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 24464, 340, 589, 680, 1731, 14515, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 314, 272, 316, 18452, 4578, 5602, 13537, 2891, 314, 273, 316, 22478, 476, 4578, 5602, 13537, 2891, 314, 271, 316, 22398, 340, 541, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 2020, 3698, 32386, 19152, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 19152, 4578, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 2020, 3698, 32386, 31171, 10031, 13537, 2891, 13117, 4499, 2525, 284, 5602, 13537, 2891, 31171, 4578, 10067, 12118, 11445, 5602, 13537, 2891, 13117, 4499, 2525, 6889, 264, 28768, 30448, 340, 541, 284, 271, 454, 11907, 22561, 454, 6112, 737, 601, 340, 541, 11203, 476, 272, 912, 453, 24464, 340, 4590, 453, 5443, 340, 25507, 9272, 2891, 303, 8270, 327, 32386, 2433, 27363, 14851, 10624, 568, 476, 272, 912, 453, 13537, 19629, 333, 5602, 453, 453, 24464, 340, 19152, 4590, 453, 453, 333, 4821, 284, 1598, 9272, 2891, 301, 4821, 16875, 2433, 27363, 453, 453, 333, 574, 284, 1598, 9272, 2891, 301, 8379, 19930, 2433, 27363, 453, 453, 330, 7974, 284, 1598, 9272, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 27363, 453, 453, 340, 836, 25507, 9272, 2891, 308, 836, 521, 27495, 672, 2433, 8442, 2020, 453, 453, 11907, 284, 300, 1695, 12118, 11445, 3799, 4821, 267, 562, 574, 267, 737, 7974, 267, 579, 836, 994, 453, 453, 339, 2086, 559, 284, 1598, 9272, 2891, 10574, 7137, 13757, 559, 1019, 18452, 16988, 26142, 333, 307, 2086, 559, 16988, 630, 344, 14672, 264, 2433, 27363, 453, 14851, 512, 2086, 559, 568, 834, 344, 257, 610, 834, 312, 13426, 4848, 13537, 19629, 333, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 10574, 10067, 12118, 11445, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 301, 4821, 16875, 2433, 2580, 1239, 269, 3711, 559, 301, 4821, 15405, 4848, 13537, 2891, 301, 8379, 19930, 2433, 2580, 1239, 269, 3711, 559, 301, 574, 15405, 4848, 13537, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 2580, 1239, 269, 3711, 559, 298, 7974, 307, 532, 6549, 15405, 4848, 13537, 2891, 308, 836, 521, 27495, 672, 2433, 2580, 1239, 269, 3711, 559, 308, 836, 306, 27495, 15405, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 453, 17427, 329, 583, 284, 1598, 9272, 2891, 299, 534, 329, 583, 5358, 7790, 263, 344, 14672, 17983, 4917, 4848, 14851, 26816, 329, 583, 568, 834, 344, 13426, 15235, 453, 3269, 3269, 3269, 454, 15235, 13537, 19629, 333, 5602, 4848, 453, 19197, 26816, 329, 583, 568, 834, 333, 13426, 15235, 13537, 2891, 298, 601, 340, 541, 907, 5602, 15235, 453, 30448, 340, 541, 284, 272, 454, 453, 19197, 10624, 568, 476, 273, 912, 453, 14851, 1239, 568, 7183, 912, 4848, 13537, 2891, 14582, 636, 18452, 4578, 907, 23528, 4848, 13537, 19629, 333, 5602, 453, 13537, 19629, 333, 5602, 453, 453, 24464, 340, 31171, 4590, 453, 13537, 2891, 3633, 3951, 918, 5588, 288, 1299, 570, 4456, 10621, 295, 772, 20315, 14408, 298, 308, 5602, 453, 13537, 2891, 294, 21468, 918, 7974, 570, 532, 6549, 15854, 14826, 3674, 328, 772, 836, 521, 27495, 536, 10042, 3824, 514, 2367, 3711, 1695, 579, 836, 521, 27495, 8442, 4848, 454, 453, 453, 330, 7974, 284, 1598, 9272, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 27363, 453, 453, 340, 836, 25507, 9272, 2891, 308, 836, 521, 27495, 672, 2433, 8442, 2020, 453, 453, 11907, 269, 704, 8663, 14241, 298, 7974, 307, 532, 6549, 17347, 7974, 994, 453, 453, 11907, 6745, 3711, 1695, 308, 836, 306, 27495, 26086, 836, 994, 453, 453, 339, 2086, 559, 284, 1598, 9272, 2891, 10574, 7137, 13757, 559, 1019, 3131, 8663, 14241, 26142, 333, 307, 2086, 559, 16988, 630, 344, 14672, 264, 2433, 27363, 453, 14851, 512, 2086, 559, 568, 834, 344, 257, 610, 834, 312, 13426, 4848, 13537, 19629, 333, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 10574, 10067, 12118, 11445, 5602, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 13537, 2891, 301, 4821, 16875, 2433, 2580, 1239, 269, 3711, 559, 301, 4821, 15405, 4848, 13537, 2891, 301, 8379, 19930, 2433, 2580, 1239, 269, 3711, 559, 301, 574, 15405, 4848, 13537, 2891, 298, 7974, 570, 532, 6549, 476, 2433, 2580, 1239, 269, 3711, 559, 298, 7974, 307, 532, 6549, 15405, 4848, 13537, 2891, 308, 836, 521, 27495, 672, 2433, 2580, 1239, 269, 3711, 559, 308, 836, 306, 27495, 15405, 4848, 13537, 2891, 13117, 4499, 2525, 284, 5602, 4848, 453, 17427, 329, 583, 284, 1598, 9272, 2891, 299, 534, 329, 583, 5358, 7790, 263, 344, 14672, 17983, 4917, 4848, 14851, 26816, 329, 583, 568, 834, 344, 13426, 15235, 453, 3269, 3269, 3269, 454, 15235, 13537, 19629, 333, 5602, 4848, 453, 19197, 26816, 329, 583, 568, 834, 333, 13426, 15235, 13537, 2891, 298, 601, 340, 541, 907, 5602, 15235, 453, 30448, 340, 541, 284, 272, 454, 453, 19197, 10624, 568, 476, 271, 1384, 453, 13537, 2891, 298, 601, 340, 541, 907, 23528, 453, 453, 30448, 340, 541, 284, 272 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 634, 1184, 540, 3409, 476, 274, 13296, 519, 4686, 3154, 568, 26775, 543, 519, 5916, 2604, 540, 519, 1216, 11517, 543, 519, 26775, 568, 476, 272, 547, 476, 1789, 4694, 12742, 563, 276, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 2098, 337, 273, 15281, 568, 1459, 607, 29656, 1673, 22866, 5536, 563, 277, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 1205, 614, 4496, 568, 9738, 693, 513, 2837, 540, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 563, 278, 269, 634, 1184, 540, 3409, 476, 272, 13296, 519, 1205, 614, 4496, 568, 1101, 15181, 676, 8022, 621, 547, 513, 2837, 540, 476, 8517, 4113, 547, 476, 12010, 4113, 595, 585, 476, 276, 547, 476, 2004, 7643, 563, 279, 269, 634, 1184, 540, 3409, 476, 278, 13296, 519, 1205, 614, 4496, 568, 9738, 267, 1310, 11852, 267, 693, 513, 2837, 540, 476, 736, 4113, 547, 476, 10384, 4113, 595, 563, 280, 269, 589, 1184, 585, 22408, 6883, 1312, 5135, 543, 7250, 689, 1216, 11517, 1459, 538, 8098, 4869, 675, 609, 26775, 538, 513, 6046, 19720, 4492, 3693, 519, 6821, 540, 799, 616, 9112, 540, 513, 1990, 597, 935, 1756, 18585, 267, 1767, 1184, 16030, 32296, 519, 1216, 11517, 609, 513, 1205, 614, 4496, 9967, 9247, 540, 2098, 337, 273, 15281, 9738, 693, 513, 2837, 540, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 454, 3602, 514, 519, 9864, 2604, 540, 519, 1216, 568, 1447, 982, 476, 1911, 8731, 337, 3248, 3602, 514, 519, 1205, 614, 4496, 568, 5827, 540, 22408, 6883, 909, 547, 476, 276, 2597, 2600, 540, 1216, 563, 301, 13086, 19720, 4492, 2609, 616, 1134, 1634, 269, 1452, 6046, 19720, 4492, 2609, 3622, 17663, 513, 20177, 8708, 538, 519, 1106, 540, 513, 8546, 2348, 1079, 1439, 11503, 835, 693, 1142, 1439, 540, 519, 8546, 269, 634, 8546, 568, 3622, 9112, 540, 610, 568, 804, 611, 609, 1990, 597, 935, 1756, 610, 513, 1990, 597, 935, 1756, 3490, 18585, 269, 10738, 519, 12068, 3989, 676, 519, 8546, 543, 519, 1439, 11503, 616, 4092, 26005, 540, 31612, 762, 1570, 971, 607, 772, 302, 273, 269, 4438, 5106, 540, 519, 6046, 19720, 4492, 3693, 267, 1216, 267, 3622, 538, 519, 1106, 540, 1216, 11517, 267, 568, 5950, 269, 901, 1216, 11517, 23465, 609, 519, 3334, 1459, 538, 519, 8546, 609, 519, 24379, 5305, 540, 7250, 269, 25756, 568, 1634, 547, 2746, 609, 1990, 597, 935, 1756, 540, 519, 8546, 4929, 2377, 761, 25557, 799, 666, 8399, 547, 22638, 5821, 269, 769, 1931, 547, 7413, 713, 7250, 2377, 761, 25557, 621, 814, 1279, 1044, 1634, 547, 1683, 6046, 19720, 4492, 2609, 609, 513, 1205, 614, 3926, 14139, 513, 1205, 614, 4496, 2348, 513, 521, 12643, 339, 633, 4390, 585, 1216, 11517, 269, 2290, 971, 1205, 614, 4496, 568, 513, 512, 1716, 776, 18585, 540, 1990, 597, 935, 1756, 267, 24489, 267, 543, 19695, 607, 31889, 585, 1383, 538, 2136, 8003, 30171, 476, 272, 267, 24907, 267, 21172, 630, 3192, 275, 1040, 10251, 891, 512, 1716, 776, 23212, 28729, 521, 12643, 5135, 689, 519, 1216, 11517, 609, 606, 24379, 5305, 540, 7250, 269, 853, 730, 8335, 519, 512, 1716, 776, 23212, 798, 711, 521, 12643, 782, 540, 519, 5135, 543, 782, 540, 519, 7250, 1459, 538, 519, 1216, 11517, 269, 2201, 519, 824, 1688, 267, 950, 22408, 6883, 1216, 11517, 972, 568, 606, 7805, 24379, 5305, 540, 7250, 609, 513, 3702, 550, 8594, 540, 7250, 2377, 761, 25557, 540, 519, 8546, 563, 2005, 568, 4061, 606, 1843, 540, 519, 1459, 8798, 547, 1683, 606, 4824, 1205, 614, 4496, 543, 606, 4824, 6046, 19720, 4492, 3693, 15186, 1863, 540, 519, 11393, 540, 519, 1991, 1148, 563, 5194, 1843, 568, 547, 1683, 606, 4824, 1205, 614, 4496, 799, 22408, 2125, 1312, 5135, 543, 7250, 689, 1216, 11517, 563, 288, 2417, 1843, 568, 547, 1683, 606, 4824, 1205, 614, 4496, 799, 22408, 2125, 5135, 689, 1216, 11517, 1510, 519, 5305, 540, 7250, 563, 288, 1869, 2417, 1843, 540, 519, 1459, 8798, 568, 547, 1683, 606, 4824, 1505, 585, 4227, 7250, 2377, 761, 25557, 538, 6046, 19720, 4492, 2609, 563, 21953, 1776, 1843, 568, 547, 1683, 606, 4824, 6046, 19720, 4492, 3693, 14139, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 563, 21206, 3615, 543, 5383, 540, 519, 1459, 8798, 786, 581, 7805, 547, 1346, 9952, 538, 519, 1148, 676, 4704, 547, 519, 1739, 2143, 6609, 23476, 543, 5515, 13296, 912, 20983, 269, 476, 272, 568, 513, 3296, 531, 2070, 540, 513, 6046, 19720, 4492, 3693, 540, 519, 1459, 8798, 14139, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 3248, 20983, 269, 476, 273, 568, 513, 28176, 6041, 540, 519, 8047, 17102, 6964, 547, 3313, 519, 22408, 1632, 3601, 540, 513, 1205, 614, 4496, 540, 519, 1459, 8798, 543, 540, 519, 1634, 512, 1716, 776, 23212, 3248, 20983, 269, 476, 274, 568, 513, 3113, 20515, 519, 3601, 540, 1205, 614, 8407, 540, 519, 1459, 8798, 3812, 689, 1239, 14139, 519, 17102, 540, 16658, 269, 476, 273, 563, 6097, 547, 519, 1459, 8798, 972, 568, 3177, 513, 1184, 585, 22408, 6883, 1312, 5135, 543, 7250, 689, 1216, 16030, 32296, 519, 1216, 609, 513, 1205, 614, 4496, 9967, 9247, 540, 267, 543, 23295, 9967, 540, 2098, 337, 273, 15281, 563, 763, 1216, 22408, 5523, 2687, 547, 519, 1459, 8798, 666, 581, 5277, 1216, 855, 568, 811, 1419, 1216, 11517, 269, 634, 1216, 11517, 666, 581, 519, 6852, 3154, 610, 11517, 1459, 610, 666, 581, 8098, 12089, 609, 824, 9362, 269, 27824, 9362, 971, 607, 26775, 610, 2415, 517, 616, 9053, 269, 4477, 1756, 568, 4122, 1459, 538, 6046, 19720, 4492, 2609, 269, 1306, 568, 1134, 1634, 519, 26775, 538, 513, 6046, 19720, 4492, 3693, 568, 3622, 1459, 538, 606, 2179, 971, 602, 950, 2808, 609, 519, 824, 9362, 1459, 786, 3132, 513, 2604, 540, 835, 547, 13977, 4694, 12742, 543, 23295, 476, 272, 547, 476, 736, 4694, 12742, 269, 634, 1205, 614, 4496, 540, 519, 1459, 8798, 568, 3742, 936, 513, 2647, 1216, 11517, 2604, 2039, 543, 3622, 936, 519, 1216, 11517, 2604, 2039, 4540, 1369, 6046, 19720, 4492, 2609, 543, 3622, 1447, 982, 476, 1911, 8731, 337, 563, 763, 1205, 614, 4496, 540, 519, 1459, 8798, 666, 581, 6964, 538, 1022, 2168, 1106, 855, 568, 3622, 6964, 607, 29656, 1673, 22866, 5536, 538, 1931, 547, 1683, 513, 1804, 2627, 1858, 585, 22408, 1632, 269, 634, 5536, 666, 4268, 4922, 538, 2450, 855, 3622, 616, 1063, 476, 272, 543, 476, 4968, 8020, 6425, 543, 23295, 616, 1063, 476, 272, 543, 476, 6344, 8020, 6425, 269, 634, 5536, 540, 1205, 614, 4496, 666, 581, 6964, 538, 513, 10690, 1106, 267, 22862, 5196, 513, 14041, 610, 811, 23295, 20399, 883, 513, 17396, 24338, 2527, 563, 763, 1205, 614, 4496, 540, 519, 1459, 8798, 568, 3742, 936, 513, 2647, 2837, 2039, 3622, 689, 476, 5611, 11019, 547, 476, 10384, 4113, 595, 543, 23295, 689, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 269, 1879, 519, 1205, 614, 4496, 540, 519, 1459, 8798, 814, 1044, 15181, 676, 8022, 621, 547, 2837, 540, 476, 8517, 4113, 547, 476, 12010, 4113, 595, 585, 476, 276, 547, 476, 2004, 7643, 267, 610, 693, 2539, 5210, 585, 3476, 2053, 267, 1287, 621, 568, 3742, 936, 606, 1256, 9962, 2837, 2039, 540, 476, 736, 4113, 547, 476, 10384, 4113, 595, 563, 8269, 518, 2590, 1631, 547, 519, 12400, 543, 538, 1880, 547, 16658, 269, 476, 272, 972, 568, 3254, 513, 6046, 19720, 4492, 3693, 476, 1015, 540, 519, 1459, 8798, 269, 634, 6046, 19720, 4492, 3693, 476, 1015, 13408, 513, 20177, 8708, 476, 1556, 16030, 513, 8546, 476, 1321, 883, 799, 568, 19034, 513, 1101, 1439, 1698, 476, 1724, 543, 513, 2034, 1439, 1698, 476, 1691, 269, 634, 1439, 11503, 476, 1724, 267, 476, 1691, 616, 4371, 547, 519, 8546, 476, 1321, 676, 1797, 540, 7143, 1091, 476, 1428, 267, 476, 1626, 269, 898, 568, 519, 1184, 540, 8108, 519, 7143, 1091, 476, 1428, 267, 476, 1626, 799, 4749, 646, 1846, 2127, 540, 519, 8546, 476, 1321, 11105, 547, 519, 7143, 1091, 476, 1428, 267, 476, 1626, 1437, 908, 519, 8546, 476, 1321, 543, 1818, 519, 1990, 597, 935, 1756, 1459, 538, 519, 8546, 476, 1321, 811, 32615, 547, 7250, 2377, 761, 25557, 269, 10738, 519, 8546, 476, 1321, 616, 513, 1297, 540, 26005, 476, 736, 267, 476, 2641, 267, 476, 2420, 540, 31612, 762, 1570, 971, 607, 772, 302, 273, 269, 634, 2230, 1063, 519, 26627, 25958, 10652, 2280, 476, 736, 543, 519, 1439, 1698, 476, 1724, 568, 3622, 5219, 547, 607, 519, 726, 523, 636, 476, 2190, 269, 10738, 519, 726, 523, 636, 476, 2190, 568, 513, 5614, 476, 2918, 269, 10738, 519, 5614, 476, 2918, 568, 513, 1205, 614, 3926, 476, 2764, 540, 519, 1459, 8798, 269, 17968, 519, 1205, 614, 3926, 1223, 581, 538, 519, 2990, 540, 519, 10652, 2280, 476, 736, 610, 1223, 581, 1459, 538, 513, 12424, 538, 519, 1439, 1698, 476, 1724, 563, 763, 2098, 337, 273, 15281, 538, 519, 1205, 614, 3926, 476, 2764, 568, 1459, 607, 29656, 1673, 22866, 5536, 2348, 513, 2450, 1063, 476, 272, 543, 476, 2568, 8020, 6425, 269, 634, 5536, 616, 20399, 883, 513, 17396, 24338, 2527, 269, 4438, 5106, 540, 519, 4492, 3693, 476, 1015, 519, 1205, 614, 3926, 476, 2764, 568, 3622, 9738, 693, 513, 2837, 540, 827, 476, 1220, 4113, 547, 476, 4335, 4113, 595, 269, 769, 13076, 609, 6671, 5663, 3157, 519, 8708, 476, 1556, 568, 4904, 609, 26775, 547, 606, 6708, 971, 602, 519, 2698, 3154, 2604, 538, 519, 726, 523, 636, 476, 2190, 543, 538, 1249, 538, 519, 1964, 540, 519, 8708, 476, 1556, 568, 1063, 476, 272, 543, 476, 1789, 4694, 12742, 269, 1306, 3254, 538, 16658, 269, 476, 272, 519, 1439, 1698, 476, 1724, 568, 3177, 609, 513, 8574, 476, 3066, 799, 568, 6806, 1991, 547, 946, 540, 519, 6046, 19720, 4492, 3693, 538, 513, 6046, 19720, 563, 8269, 518, 2590, 1631, 547, 16658, 269, 476, 273, 972, 568, 3254, 513, 1062, 476, 1789, 3730, 585, 7893, 519, 1216, 22408, 1632, 4162, 540, 1205, 614, 8407, 269, 634, 1062, 476, 1789, 568, 513, 6806, 1062, 540, 513, 1634, 4320, 543, 568, 3177, 609, 513, 2890, 3666, 476, 3953, 267, 513, 2604, 15378, 476, 4097, 267, 543, 513, 3154, 2555, 10045, 476, 3607, 971, 607, 513, 3154, 24885, 1748, 610, 513, 2527, 26563, 2678, 269, 634, 3154, 2555, 10045, 476, 3607, 568, 5248, 23534, 689, 519, 1062, 676, 513, 11896, 476, 4343, 269, 634, 1062, 476, 1789, 568, 4448, 547, 513, 12511, 6802, 476, 2412, 5248, 23534, 689, 519, 1062, 676, 513, 11896, 476, 5655, 269, 634, 1062, 476, 1789, 568, 849, 3177, 609, 513, 11896, 476, 4510, 519, 1599, 540, 799, 568, 6045, 2630, 269, 31072, 519, 1062, 476, 1789, 568, 513, 22865, 476, 5379, 602, 666, 581, 6964, 547, 2226, 519, 2837, 540, 519, 1205, 614, 3926, 476, 2764, 262, 693, 1022, 2016, 2837, 269, 634, 1062, 476, 1789, 849, 13408, 513, 8546, 476, 4366, 1369, 799, 568, 606, 2179, 540, 1216, 476, 2004, 269, 28259, 532, 519, 8546, 476, 4366, 568, 606, 4672, 543, 1216, 7848, 8602, 476, 7367, 269, 634, 2890, 28394, 766, 476, 3953, 13408, 513, 11275, 476, 7918, 3177, 609, 2842, 902, 476, 6321, 4448, 547, 606, 13525, 476, 6812, 269, 769, 5106, 607, 519, 2597, 540, 519, 1205, 614, 3926, 476, 2764, 262, 4679, 519, 13525, 476, 6812, 7727, 3606, 1699, 547, 519, 2842, 902, 476, 6321, 538, 1931, 547, 1832, 519, 3666, 11237, 476, 2568, 540, 519, 2890, 28394, 766, 476, 3953, 1377, 269, 634, 2179, 540, 1699, 6964, 568, 10736, 6475, 1227, 538, 519, 13525, 476, 6812, 543, 666, 581, 1224, 2047, 607, 519, 2597, 540, 519, 1205, 614, 3926, 476, 2764, 262, 538, 4430, 540, 519, 2597, 540, 519, 512, 732, 476, 7830, 269, 7102, 540, 519, 20749, 2139, 2890, 28394, 766, 2139, 689, 595, 23167, 6080, 6498, 540, 519, 20764, 1258, 15278, 267, 20368, 870, 267, 4993, 563, 763, 8798, 568, 2417, 11609, 676, 519, 1739, 1383, 538, 799, 782, 2694, 543, 21159, 616, 676, 2597, 8259, 6382, 8612, 269, 1452, 1875, 29438, 1746, 1806, 616, 3879, 13577, 540, 1978, 12589, 9323, 2966, 547, 4001, 1346, 9952, 538, 519, 1148, 875, 547, 2259, 519, 8798, 543, 547, 2099, 519, 1655, 7154, 14719, 730, 585, 8876, 856, 519, 8798, 563, 32715, 532, 519, 17102, 540, 16658, 269, 476, 273, 519, 4672, 8602 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 3255, 6035, 676, 28928, 2686, 10593, 563, 306, 655, 7821, 3091, 2081, 547, 22717, 572, 543, 14969, 7121, 4798, 543, 5031, 11507, 883, 17946, 14975, 8513, 454, 4131, 779, 3068, 621, 267, 2890, 2987, 2617, 725, 1369, 3964, 6688, 5397, 1967, 585, 1034, 7082, 12478, 543, 2472, 269, 1452, 10124, 2154, 811, 22717, 572, 547, 1745, 28448, 8903, 563, 7093, 16227, 267, 594, 5018, 602, 5033, 7821, 3091, 513, 1259, 547, 2497, 543, 4786, 7121, 8916, 1369, 513, 2686, 2796, 269, 19024, 532, 960, 5356, 513, 1448, 540, 2070, 827, 4316, 5624, 568, 513, 4295, 10155, 540, 1022, 5647, 4674, 269, 1809, 267, 5033, 7821, 849, 3091, 519, 4316, 547, 11571, 1387, 4084, 6688, 585, 6216, 6667, 269, 22718, 1387, 4084, 6688, 3091, 1447, 4397, 2093, 267, 19310, 1080, 4195, 4030, 543, 10173, 3860, 5614, 15236, 563, 2304, 531, 4084, 6688, 616, 6216, 6688, 602, 2671, 7907, 267, 1089, 1878, 543, 1256, 10444, 11378, 269, 1280, 1383, 267, 2015, 875, 519, 1893, 540, 16134, 630, 514, 2592, 267, 1893, 543, 1374, 264, 568, 11573, 3042, 676, 2067, 1426, 12478, 269, 901, 1893, 540, 16134, 13462, 16431, 540, 19454, 547, 519, 1560, 267, 10452, 938, 2686, 4978, 827, 875, 6986, 938, 4703, 1058, 581, 269, 1452, 16431, 540, 19454, 616, 849, 5645, 998, 2960, 3249, 12478, 269, 16164, 3249, 814, 1279, 7960, 538, 29059, 609, 2067, 1426, 6216, 9479, 1107, 1312, 6688, 11884, 10210, 9479, 689, 835, 1776, 2094, 789, 2671, 713, 1482, 9759, 540, 19454, 563, 19185, 2066, 6688, 5033, 3999, 1227, 3091, 513, 6626, 26750, 689, 799, 547, 7485, 6667, 267, 543, 10741, 909, 519, 27132, 540, 2139, 4798, 547, 21176, 15407, 538, 1587, 1646, 543, 6216, 2792, 563, 17387, 14688, 267, 713, 6626, 27132, 540, 31369, 8356, 1375, 1115, 20217, 1404, 543, 17634, 1107, 519, 4999, 543, 3860, 17522, 540, 9479, 22262, 519, 4720, 540, 1007, 2495, 267, 5499, 3206, 543, 1966, 6061, 269, 898, 779, 711, 3274, 24228, 2066, 6688, 267, 855, 519, 3860, 4999, 543, 10316, 1436, 540, 9479, 602, 7436, 3020, 5647, 543, 1007, 4082, 563, 22709, 24982, 2274, 821, 14592, 713, 538, 1010, 8748, 2376, 2048, 763, 667, 3496, 10515, 281, 12054, 7821, 543, 16743, 685, 630, 306, 4822, 12054, 8438, 5623, 267, 476, 1001, 274, 264, 799, 12211, 519, 1650, 540, 519, 27208, 6808, 2941, 945, 5499, 569, 24673, 1010, 6808, 4287, 27132, 609, 7812, 12722, 7575, 547, 1711, 606, 7357, 1114, 1995, 585, 10256, 563, 4407, 31278, 5647, 1419, 19674, 689, 29227, 10616, 610, 28928, 4798, 538, 519, 7121, 267, 10124, 602, 20014, 883, 5963, 1114, 11182, 10316, 1125, 9479, 811, 4250, 8393, 267, 543, 538, 513, 1259, 602, 779, 1447, 3362, 5918, 6088, 563, 288, 1187, 1383, 540, 713, 814, 7153, 538, 7791, 1648, 269, 1133, 577, 14975, 7591, 779, 17502, 1188, 564, 568, 513, 13558, 3440, 602, 8637, 15452, 1648, 6383, 676, 1404, 269, 17502, 1188, 564, 12958, 1769, 543, 7060, 1507, 14233, 269, 898, 779, 513, 1630, 517, 547, 3384, 6082, 267, 1141, 1004, 723, 3908, 1569, 547, 513, 1379, 7470, 563, 289, 4361, 569, 267, 1169, 2460, 540, 519, 17502, 1188, 564, 267, 689, 1374, 547, 1587, 2012, 267, 5499, 569, 12388, 525, 4798, 3823, 1404, 266, 12741, 266, 1345, 14617, 266, 11391, 10062, 538, 513, 1259, 602, 2306, 519, 4276, 4195, 267, 2943, 1360, 2312, 547, 6800, 269, 1452, 4798, 616, 865, 3015, 585, 6800, 1317, 789, 2461, 2907, 8185, 11573, 3042, 538, 26922, 6688, 281, 9162, 267, 23242, 5370, 267, 2029, 543, 1648, 563, 10817, 4575, 3741, 585, 5647, 6667, 3842, 5033, 7821, 454, 4407, 519, 22759, 540, 5033, 7821, 666, 1406, 581, 4628, 6719, 1934, 267, 972, 616, 13057, 3741, 6117, 519, 960, 269, 14146, 532, 5033, 7821, 5849, 3403, 4195, 543, 3309, 2614, 547, 8300, 1256, 519, 20585, 652, 5647, 13186, 912, 268, 13760, 519, 17950, 540, 519, 7121, 1210, 513, 2686, 630, 2254, 2757, 6725, 264, 7828, 269, 1548, 779, 519, 7121, 2048, 12671, 685, 1369, 2528, 286, 1548, 779, 519, 9759, 286, 6904, 10291, 1369, 922, 12572, 5251, 630, 331, 4833, 267, 11052, 267, 17267, 267, 10444, 12205, 267, 5104, 868, 777, 657, 1431, 543, 3347, 267, 264, 3717, 547, 1883, 2686, 10256, 888, 268, 3590, 5597, 5659, 519, 8013, 1305, 543, 2686, 4798, 11573, 3042, 269, 901, 3340, 9301, 543, 7421, 5033, 8438, 3270, 2066, 513, 2407, 1560, 540, 6216, 10618, 936, 942, 267, 1519, 24502, 543, 10685, 5624, 267, 1141, 4143, 269, 4495, 519, 4786, 568, 6537, 267, 2697, 4316, 5624, 543, 28928, 2093, 563, 268, 4855, 519, 4143, 543, 15520, 22298, 1387, 4084, 12478, 11305, 20975, 269, 15952, 11305, 14394, 12746, 1132, 616, 2629, 13865, 2645, 5356, 5813, 883, 7648, 538, 3652, 540, 3009, 946, 267, 543, 4195, 12496, 540, 2686, 4798, 269, 6056, 17618, 827, 519, 2856, 540, 2048, 322, 14394, 685, 607, 1134, 269, 1280, 1383, 267, 1018, 616, 519, 19320, 1063, 1476, 30708, 543, 2442, 2575, 630, 2181, 5937, 1046, 21696, 15576, 344, 31473, 2501, 547, 2247, 25145, 268, 6733, 693, 2242, 1369, 519, 6626, 2686, 2796, 269, 1548, 616, 519, 6932, 2418, 543, 4978, 286, 1548, 666, 649, 1451, 827, 875, 12478, 2170, 609, 519, 4657, 2686, 2796, 286, 9622, 7217, 4798, 543, 2686, 10291, 949, 3717, 547, 606, 9687, 7121, 267, 689, 513, 1587, 267, 2792, 610, 7082, 2078, 5133, 563, 268, 19321, 513, 6024, 5188, 1851, 891, 1883, 2609, 2429, 519, 1184, 269, 9177, 568, 606, 2479, 19145, 3001, 3077, 563, 306, 655, 7821, 2337, 5337, 924, 5876, 543, 8300, 5499, 3206, 538, 1896, 2081, 269, 3689, 267, 5033, 7821, 23933, 11953, 3255, 4843, 676, 17568, 10616, 543, 28928, 9479, 1369, 6688, 269, 12054, 7821, 849, 2337, 721, 1174, 519, 13065, 538, 875, 28928, 2093, 616, 28078, 676, 7175, 2079, 543, 6476, 2066, 6688, 269, 769, 13031, 519, 2407, 7362, 540, 28928, 2686, 10291, 267, 5033, 8438, 960, 3376, 839, 519, 7535, 540, 3860, 2200, 547, 2721, 689, 269, 12054, 3999, 5974, 946, 519, 13057, 3741, 1657, 547, 2327, 602, 649, 2721, 689, 2686, 2200, 602, 616, 4195, 543, 3309, 563, 5629, 891, 4195, 9479, 616, 4857, 267, 519, 2619, 547, 5647, 267, 519, 2189, 4999, 543, 10316, 1436, 540, 9479, 267, 3587, 2312, 269, 769, 824, 1913, 267, 5033, 3999, 5974, 21751, 538, 6216, 5647, 899, 547, 1589, 899, 23415, 20198, 281, 14313, 616, 899, 17544, 269, 1411, 1205, 513, 7008, 543, 1451, 875, 547, 6023, 873, 267, 543, 7168, 4166, 596, 723, 513, 18797, 563, 305, 600, 7431, 10370, 976, 267, 1912, 6185, 269, 568, 513, 28479, 766, 5033, 3999, 6509, 543, 6216, 543, 2686, 4030, 11285, 1759, 538, 5842, 12770, 563, 17637, 12054, 7821, 568, 513, 2027, 2213, 1935, 602, 10905, 519, 6551, 712, 540, 1374, 2079, 609, 519, 17381, 540, 2686, 4030, 689, 5033, 7821, 5356, 5796, 593, 875, 547, 1711, 2686, 4143, 6272, 267, 607, 1134, 607, 547, 3986, 543, 2263, 6216, 1374, 1226, 885, 269, 898, 568, 9141, 676, 519, 3498, 540, 3069, 543, 2930, 1702, 17271, 547, 1374, 4543, 12478, 547, 1174, 741, 1114, 1374, 1949, 543, 3850, 873, 547, 1711, 7347, 1374, 4654, 602, 1921, 609, 6800, 543, 741, 2686, 19178, 269, 25613, 16040, 267, 621, 2337, 12478, 547, 3251, 835, 1900, 8584, 3650, 689, 741, 2344, 15712, 543, 3308, 3466, 563, 2005, 1568, 676, 26500, 519, 10058, 6106, 540, 1344, 1459, 538, 2472, 543, 10618, 799, 568, 3810, 4143, 585, 12478, 547, 581, 2111, 547, 1174, 519, 1114, 23066, 7516, 540, 1374, 2833, 269, 5071, 12054, 7821, 632, 24554, 6456, 543, 7298, 1374, 6121, 332, 1513, 602, 666, 1291, 547, 7020, 540, 3308, 2042, 543, 1174, 2472, 4514, 563, 1607, 1907, 568, 711, 1152, 3908, 547, 519, 2079, 540, 10618, 267, 621, 849, 13315, 1587, 1374, 267, 3059, 543, 8901, 2833, 607, 1134, 607, 8720, 519, 3929, 7907, 540, 1374, 543, 519, 2079, 540, 1114, 3593, 4205, 1459, 538, 1374, 3615, 269, 898, 6770, 513, 2565, 16250, 23018, 3750, 547, 519, 1374, 2079, 4543, 547, 7787, 1047, 2686, 543, 3308, 6988, 267, 6922, 2358, 29927, 267, 543, 811, 11932, 267, 2324, 607, 513, 8115, 1063, 9858, 267, 12478, 543, 6800, 269, 898, 568, 606, 1935, 602, 2337, 547, 4497, 12478, 609, 2686, 8658, 543, 741, 1114, 1374, 7516, 269, 898, 10741, 8846, 547, 2518, 543, 2199, 6216, 15961, 563, 17637, 12054, 3999, 5974, 616, 2141, 3206, 827, 519, 6935, 1063, 1106, 267, 5048, 267, 543, 10342, 267, 3226, 950, 12478, 991, 547, 1491, 741, 2709, 2066, 1114, 4529, 269, 2368, 540, 519, 2055, 938, 7218, 4043, 547, 2307, 31721, 1472, 5546, 267, 15437, 267, 2326, 267, 1462, 13132, 267, 1851, 824, 2609, 543, 875, 891, 960, 538, 6935, 547, 2504, 543, 4616, 2853, 269, 1358, 1616, 547, 917, 875, 1114, 1374, 2609, 616, 14661, 547, 513, 1808, 2686, 2796, 610, 7121, 269, 1215, 1106, 21437, 2495, 538, 513, 1808, 2528, 543, 875, 568, 621, 1114, 689, 824, 4529, 286, 3657, 1587, 6121, 332, 1513, 13988, 547, 7121, 6835, 286, 1548, 1826, 540, 1374, 4191, 616, 789, 11488, 547, 1018, 1826, 540, 6800, 286, 2107, 3274, 1174, 1946, 513, 1587, 568, 711, 2324, 689, 513, 1374, 543, 2686, 21169, 563, 17637, 12054, 7821, 607, 606, 4316, 547, 8300, 267, 3048, 622, 543, 14526, 454, 2171, 723, 1044, 1210, 5071, 12054, 7821, 607, 606, 6293, 547, 948, 12478, 547, 1174, 741, 1378, 3308, 1949, 607, 1134, 607, 547, 1683, 513, 5868, 593, 741, 1374, 2042, 269, 1284, 723, 849, 1031, 713, 1935, 547, 5033, 7821, 547, 20006, 6643, 1472, 5647, 607, 1134, 607, 4543, 12478, 547, 1118, 741, 1374, 2833, 4143, 547, 519, 1114, 6990, 789, 7500, 563, 308, 2955, 519, 1072, 540, 741, 6216, 1949, 454, 17637, 12054, 7821, 568, 3407, 547, 2697, 543, 12398, 2042, 543, 2589, 540, 3308, 791, 12053, 267, 8642, 21140, 543, 1374, 10701, 340, 885, 269, 898, 2337, 3549, 547, 723, 513, 2312, 5868, 540, 875, 741, 12478, 616, 2324, 2066, 1114, 5905, 2798, 693, 1312, 3308, 543, 2686, 2157, 563, 2171, 5249, 2063, 1032, 593, 513, 1788, 585, 513, 30883, 24207, 3703, 6216, 538, 519, 17195, 1560, 1416, 2344, 799, 729, 3168, 547, 4228, 547, 824, 6688, 543, 2477, 269, 4256, 7580, 6859, 2838, 513, 2312, 1620, 543, 4214, 540, 519, 6216, 4835, 1949, 607, 1134, 607, 1620, 875, 891, 1949, 5249, 538, 6935, 547, 519, 1523, 540, 10317, 1154, 269, 2991, 632, 24554, 532, 519, 3308, 5027, 540, 519, 6216, 267, 649, 1336, 602, 4352, 519, 6216, 729, 3810, 18931, 585, 930, 540, 922, 3308, 2609, 971, 607, 20446, 267, 11480, 5546, 543, 2326, 1031, 538, 741, 9018, 11183, 267, 972, 729, 1869, 960, 547, 581, 2944, 538, 6935, 547, 519, 4835, 1374, 4938, 629, 983, 625, 607, 891, 941, 6922, 2358, 519, 22464, 540, 519, 6216, 269, 634, 11295, 29282, 267, 5546, 543, 7990, 10659, 1031, 676, 519, 6216, 941, 3592, 9838, 547, 741, 1292, 2841, 3218, 543, 6205, 538, 519, 7121, 269, 634, 1523, 540, 10317, 1154, 729, 711, 13988, 547, 519, 1374, 3741, 540, 8856, 267, 3007, 547, 1469, 543, 2283, 3645, 640, 799, 616, 1883, 547, 7639, 1369, 519, 17195, 10126, 269, 634, 1374, 9479, 941, 17923, 519, 2856, 540, 13416, 2864, 982, 17195, 267, 17568, 519, 1587, 538, 519, 4636, 7082, 10126, 563, 2026, 513, 1267, 267, 519, 6216, 4682, 998, 513, 2048, 2193, 22135, 685, 1184, 267, 519, 11183, 1949, 941, 15428, 547, 581, 538, 6876, 609, 519, 11407, 540, 17195, 10317, 1154, 267, 630, 18034, 607, 519, 6216, 729, 3810, 2442, 538, 519, 5664, 5101, 543, 5101, 5607, 264, 543, 10685, 5905, 2798, 941, 1373, 6236, 1256, 811, 269, 634, 1114, 1374, 4030, 941, 7471, 883, 519, 1870, 547, 1217, 6216, 3961, 267, 1587, 1646, 267, 10685, 1995, 543, 3159, 540, 5639, 2066, 519, 2898, 6216, 1062, 563, 6826, 15520, 1374, 3222, 454, 29410, 1893, 568, 2141, 6956, 538, 519, 26441, 540, 2686, 7664, 269, 5071, 12054, 7821, 13462, 609, 6800, 267, 2686, 8658, 543, 2472, 3842, 519, 15865, 3889, 602, 7500, 538, 1374, 269, 634, 1259, 1114, 6800, 1472, 519, 1158, 2170, 609, 3615, 2141, 8761, 3063, 6106, 540, 1344, 269, 1635, 7114, 2199, 543, 2518, 1374, 6724, 267, 649, 18973, 538, 519, 5137, 540, 6272, 602, 14883, 547, 1699, 543, 2104, 2686, 9479, 8220, 609, 1808, 4529, 563, 25748, 267, 649, 5249, 593, 513, 1788, 585, 513, 2518, 10509, 6216, 4974, 519, 1374, 543, 2686, 10291, 540, 14167, 1145, 538, 2947, 1114, 2477, 2066, 2342, 267 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 9779, 1084, 1635, 513, 3474, 8527, 888, 2252, 3787, 1084, 676, 513, 1612, 8527, 267, 1934, 779, 1018, 596, 1058, 5612, 798, 912, 268, 3399, 676, 32092, 532, 1055, 519, 10138, 896, 4411, 7148, 1216, 269, 4329, 267, 11547, 621, 609, 513, 9543, 1884, 1047, 10364, 5277, 270, 3070, 8499, 547, 4894, 1022, 4551, 563, 268, 3767, 267, 4019, 7250, 25681, 267, 606, 936, 7308, 23716, 1884, 1047, 10364, 522, 842, 618, 267, 610, 1022, 5078, 1884, 1047, 10364, 3070, 547, 519, 2759, 269, 23560, 865, 568, 1271, 547, 2569, 1022, 1981, 540, 3968, 563, 268, 1280, 11702, 16398, 267, 4019, 9543, 2604, 609, 513, 2973, 12308, 610, 25062, 12238, 2763, 269, 1411, 1058, 849, 2119, 547, 21592, 519, 13676, 1858, 2094, 621, 786, 948, 2569, 11702, 563, 268, 4495, 519, 11702, 814, 11074, 267, 946, 513, 19703, 610, 25062, 6512, 720, 547, 3382, 519, 10138, 543, 849, 547, 1832, 621, 2973, 543, 6870, 563, 268, 5269, 2386, 596, 6895, 519, 10138, 585, 1022, 4191, 540, 3968, 269, 18554, 4191, 540, 25017, 267, 11926, 267, 14246, 267, 10669, 267, 610, 29083, 1928, 267, 543, 2390, 711, 6005, 1022, 267, 3343, 2564, 3007, 16425, 563, 268, 589, 1612, 8527, 779, 11116, 666, 581, 2620, 543, 949, 14047, 675, 519, 2960, 282, 3976, 267, 538, 1022, 971, 2013, 267, 5077, 513, 3782, 3318, 269, 4746, 267, 3914, 513, 4387, 952, 519, 10138, 2982, 4191, 540, 3968, 269, 634, 4387, 949, 21559, 11216, 610, 4363, 513, 15067, 29104, 8929, 267, 4470, 593, 519, 10335, 540, 519, 11116, 563, 14454, 267, 513, 1612, 8527, 685, 11116, 3884, 1406, 2693, 547, 14299, 1055, 707, 9416, 267, 855, 621, 666, 581, 11213, 543, 4163, 513, 1981, 540, 3968, 269, 4475, 267, 693, 1101, 267, 8164, 16042, 707, 1612, 8527, 267, 581, 3063, 18762, 269, 19627, 267, 952, 596, 723, 2907, 3893, 513, 10138, 267, 2232, 621, 12905, 543, 1318, 2685, 547, 7413, 1022, 2186, 540, 1928, 267, 3968, 267, 543, 824, 4220, 563, 17098, 267, 1703, 543, 8080, 547, 20002, 21158, 2593, 267, 568, 1934, 547, 948, 596, 1451, 543, 1416, 827, 4620, 5017, 269, 543, 713, 5816, 568, 513, 4760, 540, 3388, 594, 4076, 4121, 269, 0, 297, 6072, 568, 513, 2442, 5752, 1893, 602, 568, 1031, 538, 1082, 1114, 3156, 543, 1357, 2861, 4066, 269, 898, 568, 513, 11684, 1893, 602, 568, 2653, 547, 1451, 543, 666, 581, 1031, 585, 513, 2647, 3099, 540, 4247, 269, 5221, 540, 713, 267, 621, 568, 1898, 547, 1174, 875, 547, 946, 519, 1893, 543, 922, 1644, 2035, 267, 971, 607, 1569, 832, 543, 4573, 2209, 538, 10084, 269, 901, 2376, 786, 1683, 606, 7650, 540, 1018, 1569, 832, 543, 4573, 2209, 538, 10084, 616, 543, 1946, 789, 616, 1271, 267, 607, 1134, 607, 1413, 693, 1806, 267, 6388, 267, 5383, 267, 11393, 267, 543, 1655, 2853, 563, 29619, 540, 7457, 528, 543, 23688, 1807, 538, 10084, 454, 16966, 528, 543, 4573, 1807, 2409, 538, 10084, 616, 2027, 1982, 3252, 602, 1450, 519, 27732, 547, 13861, 1239, 3615, 269, 7457, 528, 2409, 616, 1031, 8164, 606, 1843, 6585, 513, 1871, 630, 7945, 607, 606, 3236, 4756, 1070, 543, 616, 2966, 547, 23074, 2418, 689, 606, 1843, 269, 23688, 1807, 2409, 616, 1031, 547, 1689, 519, 1871, 538, 606, 1843, 267, 585, 1383, 676, 4259, 513, 1007, 1871, 585, 606, 3236, 4756, 563, 16966, 528, 543, 4573, 1807, 2409, 616, 1271, 585, 4180, 602, 1239, 568, 5265, 7307, 543, 6870, 269, 1635, 1210, 1569, 528, 543, 4573, 1807, 2409, 267, 519, 27732, 666, 1852, 875, 1239, 568, 15600, 543, 9168, 267, 543, 666, 2327, 602, 1239, 568, 711, 18348, 539, 610, 4503, 269, 3958, 267, 1569, 528, 543, 4573, 1807, 2409, 666, 581, 1031, 547, 1711, 513, 811, 5150, 5752, 1604, 267, 607, 789, 666, 581, 1031, 547, 6615, 1569, 547, 1978, 1239, 3615, 563, 1432, 568, 606, 7457, 528, 6396, 888, 2304, 1569, 528, 1505, 267, 849, 1634, 607, 513, 1205, 614, 1505, 267, 568, 1031, 547, 1569, 606, 1843, 779, 3236, 4756, 2047, 689, 519, 3009, 269, 901, 666, 581, 2944, 676, 10912, 513, 1505, 602, 568, 2966, 547, 2132, 1978, 2418, 689, 519, 1843, 269, 13575, 267, 1569, 528, 2409, 616, 3957, 4358, 609, 968, 1326, 5608, 971, 607, 968, 1326, 11243, 3890, 5608, 968, 1326, 21848, 3890, 5608, 543, 865, 593, 269, 7457, 528, 2409, 666, 581, 1031, 547, 23074, 1344, 602, 568, 711, 7298, 538, 519, 2707, 3009, 267, 2495, 602, 519, 2418, 540, 519, 3236, 4632, 3112, 581, 2047, 15600, 1510, 1210, 606, 1569, 528, 1505, 563, 16966, 528, 2409, 616, 849, 1031, 547, 2149, 519, 1239, 6740, 538, 606, 1843, 269, 1635, 1210, 1569, 528, 2409, 267, 519, 1239, 6740, 538, 606, 1843, 666, 581, 6854, 4357, 543, 5150, 267, 607, 519, 2418, 540, 519, 3236, 4632, 666, 1152, 581, 15600, 998, 519, 1569, 528, 2409, 269, 901, 5849, 602, 519, 1239, 6740, 538, 606, 1843, 568, 711, 9168, 610, 15600, 1510, 10479, 563, 1432, 568, 513, 23688, 1807, 6396, 888, 288, 4573, 1807, 1505, 568, 519, 6587, 540, 606, 1569, 528, 1505, 538, 602, 621, 2242, 610, 5036, 519, 2418, 540, 3236, 4632, 269, 901, 666, 581, 2944, 676, 17034, 519, 1505, 2047, 689, 519, 3009, 267, 543, 8429, 538, 513, 1007, 1871, 585, 519, 3236, 4756, 269, 13575, 267, 4573, 1807, 2409, 616, 3957, 4358, 609, 968, 3553, 5608, 971, 607, 968, 3553, 11243, 3890, 5608, 968, 3553, 21848, 3890, 5608, 543, 865, 593, 269, 23688, 1807, 2409, 1450, 519, 27732, 547, 1689, 519, 1871, 540, 606, 3236, 4756, 1510, 2965, 22212, 519, 3009, 3294, 563, 300, 583, 1807, 2409, 616, 3730, 585, 1818, 2242, 547, 606, 1843, 1510, 2348, 547, 27682, 519, 3003, 3009, 269, 1280, 1383, 267, 952, 513, 27732, 6499, 547, 1689, 519, 2012, 540, 606, 1843, 267, 789, 666, 946, 513, 4573, 1807, 1505, 547, 798, 865, 1510, 2348, 547, 27682, 519, 3003, 3009, 269, 901, 2306, 621, 4443, 547, 1118, 2242, 547, 606, 1843, 1510, 2348, 547, 979, 998, 519, 3003, 3009, 19668, 563, 26794, 543, 32539, 540, 7457, 832, 543, 23688, 2209, 454, 16966, 832, 543, 4573, 2209, 2709, 513, 2039, 540, 5383, 543, 11393, 269, 1280, 1383, 267, 1569, 528, 2409, 2709, 4824, 20206, 1637, 267, 2495, 1239, 3615, 666, 581, 9678, 689, 5007, 7506, 267, 1247, 3850, 824, 2694, 540, 519, 3498, 547, 2170, 609, 873, 14013, 269, 6684, 267, 4573, 1807, 2409, 1450, 3009, 1369, 606, 3498, 547, 581, 4957, 1510, 2047, 22212, 519, 2707, 3009, 3294, 269, 1717, 267, 972, 616, 849, 930, 19363, 547, 1210, 1569, 528, 543, 4573, 1807, 2409, 267, 1034, 16113, 519, 7872, 540, 519, 1871, 1373, 26203, 27235, 269, 3958, 267, 930, 949, 1265, 519, 3009, 811, 2352, 547, 1224, 952, 1569, 832, 543, 4573, 2209, 616, 8185, 1031, 563, 5194, 19319, 540, 1569, 832, 543, 4573, 2209, 568, 602, 789, 666, 1039, 6988, 547, 519, 3009, 19668, 267, 607, 789, 2154, 3606, 2409, 547, 581, 2854, 543, 9738, 269, 901, 666, 1291, 547, 513, 3677, 3009, 19668, 267, 799, 666, 581, 2352, 547, 4383, 543, 3181, 1872, 269, 3958, 267, 1569, 832, 543, 4573, 2209, 666, 849, 1291, 547, 2773, 2152, 267, 607, 789, 2154, 3606, 4393, 942, 547, 14892, 269, 4475, 267, 621, 568, 1271, 547, 2015, 519, 4123, 32187, 1063, 519, 5383, 543, 11393, 540, 1569, 832, 543, 4573, 2209, 950, 14045, 2436, 547, 946, 873, 538, 606, 3498, 563, 25363, 13586, 7457, 832, 543, 23688, 2209, 538, 10084, 454, 16966, 832, 543, 4573, 2209, 666, 581, 8045, 1210, 519, 1857, 543, 4357, 17161, 538, 10084, 269, 5398, 2409, 666, 581, 1572, 9170, 1369, 513, 1982, 267, 1247, 4357, 2409, 666, 1152, 581, 1572, 1369, 741, 1378, 1362, 610, 1369, 513, 1016, 11665, 269, 901, 5849, 602, 1152, 1978, 2694, 540, 519, 1982, 666, 1118, 2242, 547, 610, 23074, 2418, 689, 606, 1843, 269, 3958, 267, 6724, 666, 581, 1031, 547, 1780, 1114, 2418, 883, 606, 1569, 528, 610, 4573, 1807, 1505, 563, 16966, 832, 543, 4573, 2209, 666, 849, 581, 1031, 547, 1711, 1205, 614, 543, 1305, 614, 2409, 269, 5192, 614, 2409, 616, 1031, 547, 23074, 2418, 689, 606, 1843, 267, 1247, 1305, 614, 2409, 616, 1031, 547, 1305, 2418, 585, 606, 1843, 269, 1452, 2409, 616, 1419, 1031, 547, 2327, 602, 1239, 568, 5265, 24019, 1354, 621, 568, 1305, 610, 27366, 269, 1635, 1210, 1569, 832, 543, 4573, 2209, 267, 9367, 666, 1711, 811, 5150, 543, 6325, 3292, 563, 14300, 540, 7457, 528, 543, 23688, 1807, 10613, 538, 10084, 454, 2304, 1383, 540, 606, 1569, 528, 1505, 1131, 581, 513, 1505, 1572, 968, 1326, 11243, 3890, 5608, 799, 7024, 519, 1871, 6740, 538, 606, 3236, 4756, 1572, 968, 4067, 6100, 6684, 267, 606, 1383, 540, 513, 4573, 1807, 1505, 1131, 581, 513, 1505, 1572, 968, 3553, 11243, 263, 21803, 2012, 264, 5608, 799, 5036, 519, 1843, 779, 2012, 547, 519, 21642, 5293, 607, 513, 9936, 269, 6271, 1383, 540, 513, 4573, 1807, 1505, 1131, 581, 968, 27463, 848, 21848, 3890, 5608, 799, 4679, 606, 1843, 779, 2085, 676, 835, 563, 16966, 528, 543, 4573, 1807, 2409, 616, 1271, 585, 20206, 1637, 267, 799, 568, 513, 1883, 1523, 538, 1843, 15129, 5752, 269, 7402, 2355, 1637, 2636, 585, 1239, 547, 581, 6456, 689, 519, 3544, 1158, 267, 543, 1152, 15600, 998, 519, 946, 540, 1569, 528, 543, 4573, 1807, 2409, 269, 901, 2337, 547, 2327, 602, 1239, 568, 711, 9168, 538, 6397, 2081, 267, 543, 602, 519, 1239, 568, 2141, 538, 513, 4570, 1533, 563, 16032, 13756, 585, 4635, 7457, 832, 543, 23688, 2209, 538, 10084, 454, 2691, 1210, 1569, 832, 543, 4573, 2209, 538, 10084, 267, 972, 616, 1896, 1655, 2853, 602, 1058, 581, 4553, 269, 17616, 267, 1569, 832, 1058, 581, 1031, 8164, 2009, 2094, 789, 616, 811, 5150, 982, 4573, 2209, 269, 3958, 267, 950, 2870, 1569, 832, 543, 4573, 2209, 2057, 1210, 20438, 968, 1326, 892, 610, 968, 3553, 892, 538, 741, 4408, 267, 607, 713, 666, 581, 14845, 269, 898, 568, 849, 1271, 547, 2327, 602, 782, 2409, 723, 3617, 1569, 2157, 630, 21504, 610, 4357, 264, 865, 602, 789, 666, 1152, 581, 1572, 676, 519, 3009, 602, 1058, 581, 269, 7053, 267, 950, 2870, 1569, 528, 610, 4573, 1807, 2409, 621, 568, 1271, 547, 3314, 547, 1711, 873, 25144, 2066, 782, 3615, 267, 865, 602, 519, 1482, 1344, 666, 581, 15600, 610, 9168, 3362, 563, 2005, 568, 849, 1271, 547, 2327, 602, 1569, 832, 543, 4573, 2209, 616, 5265, 13006, 267, 865, 602, 824, 9367, 666, 1174, 875, 547, 946, 873, 269, 3958, 267, 950, 2870, 1569, 832, 543, 4573, 2209, 267, 621, 568, 1271, 547, 2015, 519, 2773, 6286, 540, 519, 3009, 267, 607, 713, 666, 723, 513, 1713, 1764, 593, 519, 2949, 2773, 540, 519, 3498, 563, 16966, 832, 543, 4573, 2209, 538, 10084, 616, 1898, 585, 22392, 1239, 3615, 538, 513, 6417, 543, 5150, 1259, 269, 1635, 1620, 1018, 1569, 832, 543, 4573, 2209, 616, 543, 875, 547, 946, 873, 14013, 267, 9367, 666, 2327, 741, 3009, 568, 2922, 543, 5150, 267, 607, 1134, 607, 4443, 547, 1224, 269, 1306, 609, 782, 5752, 4247, 267, 621, 568, 1271, 547, 946, 1655, 2853, 950, 9001, 1569, 832, 543, 4573, 2209, 538, 10084, 269, 0, 20245, 8177, 10495, 19120, 5874, 693, 5800, 984, 10314, 4659, 454, 20458, 1689, 543, 2518, 8337, 616, 796, 28300, 762, 3584, 538, 2221, 781, 1158, 269, 1358, 2811, 1932, 1804, 547, 1589, 827, 538, 938, 1554, 3562, 6377, 2729, 855, 602, 3085, 1405, 1611, 789, 2811, 711, 2348, 513, 3395, 1764, 593, 938, 1554, 3562, 6377, 2729, 269, 901, 568, 2523, 519, 2013, 585, 3549, 945, 666, 5732, 1764, 519, 1604, 1472, 873, 563, 5591, 1367, 610, 1100, 1367, 2754, 568, 2469, 547, 4194, 2518, 8337, 269, 898, 781, 513, 12550, 7400, 3390, 602, 1131, 991, 519, 2898, 1158, 547, 1491, 513, 2490, 538, 519, 1318, 4287, 563, 3719, 1169, 2754, 2115, 547, 2232, 519, 1604, 593, 513, 2890, 1377, 563, 31323, 6042, 723, 1044, 2919, 936, 5756, 547, 2149, 938, 2067, 2200, 269, 14992, 616, 2838, 547, 581, 5360, 5050, 609, 9167, 6042, 547, 2057, 22717, 267, 19479, 610, 7803, 18659, 269, 634, 9167, 814, 2919, 930, 540, 519, 1158, 781, 5207, 2825, 4441, 543, 519, 9167, 10243, 585, 519, 1604, 13327, 525, 782, 2229, 21445, 7939, 538, 1142, 540, 922, 1367, 2477, 563, 1103 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 3807, 607, 3197, 12582, 1406, 581, 22350, 1434, 267, 17127, 11338, 13187, 602, 789, 12582, 1406, 581, 22350, 3983, 269, 589, 3811, 6648, 9060, 513, 1259, 547, 1118, 1256, 3983, 3197, 1413, 1434, 267, 17127, 3081, 267, 855, 789, 12582, 1406, 581, 865, 1434, 607, 547, 581, 5579, 9476, 1043, 269, 4658, 616, 10355, 782, 1434, 543, 865, 31552, 789, 616, 3884, 1406, 1825, 15344, 282, 2705, 267, 513, 1915, 1590, 333, 1406, 581, 782, 3983, 2901, 269, 589, 3811, 16471, 540, 1434, 543, 3983, 7592, 538, 1915, 267, 17127, 13187, 267, 666, 581, 1336, 538, 25264, 779, 31456, 267, 945, 19754, 670, 10725, 538, 519, 594, 2993, 611, 855, 568, 1869, 13269, 607, 513, 1434, 1268, 269, 769, 31456, 267, 972, 568, 3666, 540, 1434, 543, 3983, 1915, 7592, 267, 799, 568, 1018, 2306, 1010, 2669, 693, 519, 1439, 540, 519, 594, 2993, 611, 13249, 563, 288, 2077, 13444, 849, 11828, 519, 5057, 2694, 540, 546, 2109, 267, 799, 2882, 17205, 543, 13450, 267, 543, 646, 13187, 602, 513, 3811, 6648, 9060, 3666, 538, 922, 946, 540, 546, 2109, 607, 1134, 269, 634, 1034, 1271, 3364, 827, 546, 2109, 267, 17127, 3081, 267, 568, 9355, 267, 543, 519, 1579, 11732, 1913, 616, 1346, 602, 616, 538, 7928, 946, 543, 1455, 10009, 269, 17127, 733, 1742, 602, 2312, 1913, 799, 616, 3362, 6956, 616, 1655, 538, 6965, 267, 3177, 741, 946, 1281, 711, 1267, 538, 513, 968, 29754, 540, 15683, 1848, 4635, 1152, 1455, 1913, 538, 513, 6648, 568, 796, 13092, 543, 538, 691, 2065, 269, 4935, 267, 513, 6648, 1590, 1265, 3666, 1063, 1455, 1913, 543, 1018, 17127, 7125, 968, 1410, 5328, 7215, 1848, 4340, 547, 17127, 267, 968, 1410, 5328, 7215, 892, 616, 1346, 1913, 711, 538, 1455, 6165, 269, 6270, 968, 1410, 5328, 7215, 892, 949, 581, 538, 1455, 946, 11992, 267, 610, 789, 949, 581, 22579, 4481, 676, 519, 10564, 269, 968, 2750, 5328, 7215, 892, 666, 581, 2813, 1498, 561, 1263, 28517, 543, 519, 1840, 540, 24008, 610, 24424, 267, 610, 998, 2110, 2287, 543, 519, 8851, 540, 24008, 610, 24424, 269, 1717, 267, 3007, 547, 3666, 568, 1586, 2838, 538, 546, 2109, 267, 543, 1932, 1082, 968, 1410, 5328, 7215, 892, 666, 11904, 513, 6648, 20060, 1619, 269, 6271, 1106, 540, 968, 1410, 5328, 7215, 892, 568, 519, 946, 540, 14165, 267, 799, 568, 513, 10902, 4294, 547, 1945, 3116, 269, 1280, 17127, 267, 1434, 946, 540, 14165, 568, 519, 1665, 540, 513, 2067, 10564, 543, 666, 24320, 1047, 1022, 1297, 540, 19621, 6959, 282, 2705, 267, 519, 946, 540, 14165, 4805, 1281, 711, 1118, 513, 3811, 6648, 2901, 269, 589, 1434, 6648, 2306, 946, 540, 782, 2694, 540, 546, 2109, 267, 1519, 14165, 543, 824, 1875, 268, 20598, 1913, 269, 634, 16471, 540, 968, 1410, 5328, 7215, 892, 543, 1455, 1913, 568, 2629, 538, 513, 3811, 6648, 865, 602, 621, 568, 1312, 24669, 543, 19278, 563, 763, 991, 585, 3666, 568, 6965, 568, 849, 2938, 538, 17127, 779, 7778, 540, 9588, 543, 9322, 269, 13804, 3363, 568, 513, 13357, 779, 2702, 547, 3132, 22035, 7321, 543, 4898, 267, 855, 713, 9588, 1590, 581, 2687, 547, 13766, 610, 5506, 267, 543, 519, 13357, 1590, 723, 9322, 269, 1677, 723, 9322, 267, 513, 13249, 4729, 1590, 723, 513, 17386, 4098, 267, 1647, 267, 543, 1439, 267, 543, 621, 12582, 1406, 581, 865, 1804, 602, 621, 666, 1406, 581, 11593, 4371, 538, 835, 779, 3965, 269, 769, 824, 1913, 267, 513, 13357, 2115, 3666, 1063, 9588, 543, 9322, 267, 543, 621, 12582, 1406, 581, 607, 2462, 543, 27314, 607, 547, 7519, 9322, 610, 581, 5579, 9476, 1043, 269, 1280, 17127, 267, 513, 10747, 4183, 540, 6965, 568, 3666, 267, 543, 713, 3666, 568, 8449, 1271, 538, 782, 540, 513, 6648, 779, 5057, 2694, 563, 15253, 9426, 20668, 543, 18696, 27484, 9199, 14982, 454, 15253, 9426, 20668, 543, 18696, 30365, 538, 7313, 7497, 454, 4131, 721, 1865, 519, 1148, 540, 6965, 538, 2489, 543, 922, 2249, 9789, 1198, 799, 1142, 2249, 540, 6965, 814, 543, 519, 2953, 1259, 547, 4020, 13602, 952, 519, 5888, 568, 547, 581, 540, 1164, 2298, 267, 607, 1134, 607, 519, 1297, 543, 2470, 540, 922, 5057, 2694, 267, 543, 1022, 824, 2055, 602, 8451, 1369, 519, 1482, 2361, 540, 679, 11431, 269, 1284, 1058, 2253, 267, 607, 621, 2067, 267, 676, 2921, 1101, 3741, 1101, 563, 9199, 3022, 344, 568, 606, 32649, 540, 606, 2962, 602, 568, 8098, 10928, 267, 2347, 543, 19299, 9588, 282, 538, 1893, 1500, 5418, 553, 9092, 267, 1142, 540, 922, 2249, 9674, 538, 1114, 2694, 282, 5340, 676, 11051, 267, 711, 998, 32538, 282, 1198, 532, 998, 533, 640, 543, 4250, 519, 22729, 540, 971, 4664, 563, 263, 3528, 968, 331, 4833, 1500, 5418, 553, 9092, 892, 594, 1611, 602, 799, 19299, 11733, 543, 23260, 267, 1775, 4318, 269, 5152, 269, 1635, 519, 9668, 540, 922, 2249, 594, 1611, 602, 930, 2694, 616, 7768, 538, 14235, 4805, 282, 1866, 676, 4334, 1118, 946, 540, 5152, 8094, 3383, 13357, 607, 513, 2898, 8209, 814, 3670, 5057, 2694, 267, 799, 3313, 519, 13357, 779, 2298, 269, 634, 5420, 540, 32649, 13408, 1079, 2694, 267, 519, 7154, 835, 267, 543, 1843, 1614, 282, 543, 972, 568, 4986, 6306, 689, 891, 563, 9199, 3022, 344, 568, 711, 606, 32649, 540, 7606, 267, 855, 540, 3527, 543, 540, 1272, 269, 4270, 5630, 543, 2192, 5630, 21078, 538, 3527, 267, 543, 519, 3804, 540, 1272, 568, 606, 2534, 267, 711, 513, 2298, 282, 1004, 4865, 1978, 7907, 538, 13076, 609, 741, 1915, 267, 855, 789, 3035, 1134, 5630, 610, 922, 6587, 593, 519, 4493, 540, 875, 789, 24214, 269, 1924, 519, 32649, 540, 513, 1915, 568, 711, 519, 3483, 540, 1018, 519, 8069, 798, 282, 1915, 568, 3769, 2059, 609, 543, 593, 2272, 540, 519, 3527, 269, 1924, 519, 2621, 267, 1775, 4318, 269, 519, 4729, 267, 616, 1018, 13357, 568, 972, 585, 267, 543, 602, 568, 519, 1034, 1271, 3364, 540, 782, 563, 12179, 4190, 1843, 267, 2436, 513, 2713, 11248, 610, 1022, 824, 11769, 7768, 540, 2694, 267, 1590, 711, 1152, 4865, 1346, 2694, 538, 1697, 1931, 267, 855, 922, 9588, 849, 1058, 711, 581, 17062, 282, 5898, 5161, 538, 9588, 607, 1134, 607, 1931, 269, 1280, 713, 2601, 1100, 11248, 1223, 581, 4190, 952, 621, 568, 23494, 1507, 630, 26238, 8343, 3587, 11821, 607, 621, 2501, 2673, 547, 2348, 1100, 829, 1061, 1043, 8653, 538, 942, 264, 610, 23494, 1804, 630, 26238, 519, 8343, 568, 1287, 711, 21800, 267, 543, 519, 24319, 1265, 602, 519, 2631, 540, 9322, 543, 627, 565, 8864, 568, 4503, 689, 519, 8343, 267, 552, 3052, 269, 952, 972, 941, 606, 3662, 513, 8536, 5195, 1279, 1040, 1924, 1175, 607, 538, 519, 2013, 540, 2168, 3615, 543, 2713, 7103, 267, 789, 1058, 4865, 513, 1978, 9588, 267, 543, 713, 1058, 581, 971, 607, 666, 11593, 581, 3144, 538, 693, 835, 2070, 267, 865, 538, 519, 2013, 540, 13602, 281, 789, 1058, 723, 513, 1978, 3259, 267, 543, 713, 1058, 581, 971, 607, 666, 11593, 581, 4371, 538, 3965, 563, 2005, 568, 849, 2312, 689, 1018, 814, 1044, 1767, 602, 519, 1599, 540, 519, 10564, 568, 711, 2161, 1018, 814, 5949, 267, 855, 547, 2161, 519, 2186, 540, 3364, 602, 1131, 4755, 267, 1775, 4318, 269, 1018, 568, 2009, 538, 13076, 609, 5506, 610, 13766, 269, 634, 14787, 543, 519, 10564, 616, 711, 13747, 676, 741, 946, 540, 14235, 610, 18340, 282, 621, 1131, 581, 2009, 547, 2490, 519, 1568, 540, 4173, 617, 582, 639, 883, 14235, 267, 543, 621, 1131, 581, 513, 1686, 538, 14235, 1175, 607, 1454, 607, 538, 18340, 269, 634, 11984, 568, 713, 281, 519, 835, 3081, 1018, 814, 5949, 267, 519, 824, 519, 2186, 540, 3364, 602, 1131, 4755, 563, 3383, 972, 616, 891, 1079, 2694, 540, 519, 4729, 1765, 516, 951, 531, 543, 6284, 282, 513, 3791, 568, 7092, 269, 2986, 891, 267, 30729, 543, 6284, 723, 2907, 1044, 5941, 282, 7092, 568, 606, 2962, 602, 3322, 9552, 610, 1928, 630, 324, 3052, 269, 7972, 538, 2407, 2070, 267, 3665, 989, 3415, 267, 10138, 902, 543, 865, 593, 1916, 763, 4070, 540, 519, 1655, 13357, 1058, 581, 1950, 2864, 982, 2241, 282, 543, 621, 1058, 849, 581, 606, 32649, 540, 2621, 602, 18427, 4250, 543, 533, 640, 267, 2094, 602, 568, 519, 10058, 4183, 540, 713, 2186, 540, 32649, 269, 1924, 621, 568, 2312, 1101, 540, 782, 602, 22510, 2367, 1058, 711, 581, 2938, 18460, 513, 1689, 689, 1434, 19539, 547, 3983, 19539, 1765, 10472, 1281, 711, 18427, 4250, 610, 533, 640, 267, 855, 29832, 755, 269, 7439, 1058, 1244, 571, 1386, 1004, 581, 2938, 18460, 513, 1689, 689, 3983, 19539, 547, 1434, 19539, 1765, 10472, 568, 519, 2547, 13249, 540, 782, 281, 621, 814, 9039, 540, 519, 1318, 2360, 267, 2094, 621, 9444, 3858, 762, 267, 6862, 1281, 621, 18427, 533, 640, 610, 4250, 269, 7439, 1586, 1058, 513, 1360, 29063, 1268, 2887, 689, 1434, 19539, 547, 3983, 19539, 20196, 2186, 540, 2497, 1131, 581, 3858, 762, 267, 855, 1131, 711, 10161, 533, 640, 610, 4250, 267, 2094, 519, 835, 814, 547, 798, 609, 2576, 945, 568, 7092, 19888, 5703, 569, 267, 519, 824, 609, 2576, 945, 568, 899, 6000, 630, 296, 1611, 267, 533, 640, 814, 547, 798, 609, 519, 9207, 6326, 3411, 19907, 267, 4250, 609, 519, 1268, 899, 721, 5148, 865, 1018, 4523, 786, 18427, 9444, 533, 640, 6862, 4250, 563, 2171, 616, 2451, 267, 4061, 267, 609, 519, 1268, 13591, 1063, 891, 269, 901, 568, 519, 4990, 540, 1268, 945, 568, 711, 14222, 538, 5837, 17284, 610, 5126, 282, 593, 519, 824, 1688, 267, 519, 1689, 540, 3983, 19539, 799, 646, 25457, 568, 711, 1813, 547, 1022, 5837, 8919, 610, 1244, 571, 6143, 267, 855, 547, 606, 5470, 540, 930, 2186, 269, 1261, 568, 835, 540, 1346, 1004, 945, 616, 4371, 538, 1390, 22644, 543, 2972, 1390, 1434, 19539, 267, 899, 32084, 267, 774, 344, 652, 525, 267, 543, 13747, 2367, 689, 602, 2186, 540, 1920, 563, 2005, 568, 2009, 585, 519, 859, 6327, 540, 4250, 543, 533, 640, 547, 1267, 689, 519, 4715, 12386, 267, 543, 849, 689, 519, 2497, 540, 2621, 3294, 269, 634, 8545, 568, 30074, 543, 568, 519, 1665, 540, 513, 1732, 10564, 269, 634, 4729, 1058, 581, 9112, 538, 971, 513, 1259, 602, 267, 1256, 1510, 7487, 621, 267, 4896, 945, 30650, 519, 2621, 799, 2049, 695, 3291, 619, 543, 7959, 533, 640, 693, 1018, 4523, 282, 713, 875, 2576, 1131, 2746, 593, 6217, 519, 4729, 540, 519, 32084, 269, 21277, 1424, 713, 1198, 998, 4715, 12386, 568, 1447, 7499, 267, 543, 568, 8200, 593, 519, 2504, 269, 8409, 945, 946, 4715, 12386, 547, 3132, 606, 1198, 799, 568, 711, 859, 25607, 540, 4250, 267, 855, 3274, 1395, 560, 9317, 267, 723, 4986, 547, 798, 609, 13357, 282, 835, 1058, 711, 3343, 1169, 12257, 689, 13357, 267, 855, 519, 835, 602, 568, 8984, 540, 621, 269, 1656, 2094, 519, 10564, 1058, 3132, 519, 12257, 799, 2501, 689, 533, 640, 543, 4250, 267, 543, 1058, 798, 865, 676, 1797, 540, 32649, 267, 5693, 713, 1590, 581, 4547, 827, 538, 519, 2621, 563, 18154, 3598, 569, 267, 4061, 267, 519, 21368, 540, 13602, 1058, 849, 2097, 827, 689, 519, 4729, 3294, 267, 543, 711, 676, 1797, 540, 513, 26974, 3740, 3926, 267, 607, 538, 519, 2405, 20660, 267, 610, 519, 2621, 7255, 609, 519, 22745, 540, 519, 9635, 538, 519, 594, 2993, 611, 269, 589, 26974, 3740, 3926, 949, 581, 1031, 585, 1919, 3544, 519, 1404, 1765, 31347, 1991, 2621, 799, 616, 3564, 1480, 1702, 267, 610, 7766, 2621, 799, 991, 12605, 543, 32538, 2094, 649, 9886, 602, 519, 10971, 666, 1294, 3388, 269, 1809, 972, 1058, 581, 4986, 19450, 538, 519, 2621, 2933, 282, 610, 267, 17528, 602, 267, 621, 1058, 581, 3544, 519, 1404, 267, 607, 585, 1383, 538, 20153, 28965, 779, 32084, 8094, 7712, 13357, 568, 606, 32649, 540, 1004, 1732, 982, 649, 616, 267, 835, 1058, 708, 10028, 1434, 17855, 1790, 664, 1562, 269, 769, 17021, 519, 1367, 1106, 267, 789, 5862, 1004, 607, 789, 616, 267, 855, 1118, 873, 1732, 23302, 269, 769, 519, 1482, 1259, 519, 10564, 945, 568, 708, 23550, 1004, 945, 616, 3352, 2444, 1043, 610, 27823, 610, 945, 723, 824, 7592, 540, 1915, 540, 602, 4990, 1058, 9446, 873, 607, 2348 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 707, 1378, 3211, 899, 713, 835, 609, 12808, 7223, 476, 273, 269, 769, 1931, 547, 4194, 891, 4834, 649, 1590, 917, 17969, 916, 543, 875, 547, 946, 873, 609, 20800, 2747, 780, 303, 514, 2201, 15026, 4065, 8018, 16574, 919, 692, 22091, 11228, 12307, 700, 9554, 11314, 4400, 3427, 4569, 7689, 12697, 4400, 3427, 4569, 16497, 5890, 11228, 692, 19868, 15162, 332, 16296, 12358, 3626, 525, 9752, 10789, 10789, 4569, 3427, 692, 306, 6295, 5890, 11228, 12307, 1635, 4635, 8298, 15162, 916, 4065, 4569, 12307, 5890, 11228, 692, 306, 6295, 5890, 11228, 12307, 2060, 744, 9536, 5890, 7859, 10789, 14572, 12307, 7101, 673, 12307, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 10789, 476, 273, 6096, 8298, 15162, 6193, 12793, 10789, 692, 19868, 15162, 916, 6096, 6096, 15026, 4569, 6096, 28518, 25285, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 5890, 11228, 10789, 476, 273, 6096, 5890, 11228, 12793, 692, 306, 6295, 5890, 11228, 1656, 8298, 15162, 6193, 12307, 6096, 12307, 4569, 4813, 10358, 5441, 10789, 692, 11854, 539, 25441, 2060, 8298, 15162, 916, 8298, 15162, 6193, 12793, 2776, 20412, 639, 9752, 10789, 692, 22091, 11228, 1656, 8298, 15162, 6193, 12793, 8298, 15162, 6193, 12793, 5890, 11228, 12793, 5890, 11228, 692, 11749, 20634, 590, 4303, 4569, 5890, 11228, 12307, 12307, 5890, 11228, 4569, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 10789, 476, 273, 6096, 5890, 11228, 12793, 26344, 5852, 6096, 692, 303, 514, 2201, 4569, 692, 19868, 15162, 6193, 12307, 631, 10270, 5131, 29560, 9119, 6096, 9752, 10789, 10789, 692, 31580, 476, 273, 6096, 5890, 11228, 1656, 8298, 15162, 6193, 12793, 6096, 769, 2091, 12793, 10789, 476, 273, 6096, 12793, 10789, 692, 1607, 14572, 5890, 11228, 12307, 631, 10270, 14348, 2142, 634, 17828, 11314, 1280, 3733, 10789, 4841, 14572, 28065, 12307, 5890, 11228, 9119, 6096, 692, 19868, 15162, 6193, 12793, 8298, 15162, 6193, 12793, 4569, 11872, 14572, 12430, 12307, 0, 18704, 454, 18439, 11020, 22709, 692, 9288, 2559, 923, 281, 10907, 5120, 566, 540, 13999, 593, 5102, 2917, 267, 10047, 540, 11425, 692, 763, 1101, 2243, 3322, 606, 693, 6229, 3684, 267, 519, 2034, 3322, 1079, 1114, 22203, 7923, 547, 31963, 9991, 270, 8527, 908, 547, 519, 2666, 780, 8450, 519, 795, 701, 326, 585, 3169, 2055, 269, 634, 1257, 568, 3177, 2630, 3274, 585, 519, 4324, 540, 519, 3406, 2599, 1384, 4263, 6229, 10724, 692, 288, 11508, 1652, 5102, 2917, 609, 2527, 25253, 568, 7923, 547, 519, 18109, 267, 538, 513, 8904, 2361, 575, 269, 7136, 5062, 568, 4130, 982, 2527, 8575, 269, 634, 13253, 570, 343, 267, 14977, 267, 570, 345, 267, 543, 519, 3586, 575, 616, 3172, 6421, 269, 1280, 1142, 3948, 267, 2824, 513, 3210, 269, 18289, 540, 7136, 525, 593, 513, 17240, 2917, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 14977, 568, 23099, 570, 345, 1341, 307, 343, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 570, 345, 568, 23099, 570, 343, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 630, 30538, 266, 18250, 266, 300, 321, 264, 326, 568, 23099, 14977, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 634, 9588, 540, 519, 10231, 540, 8575, 568, 23099, 602, 540, 5062, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 634, 4099, 6361, 2173, 817, 540, 8575, 267, 5062, 267, 543, 25253, 1281, 711, 17108, 563, 15124, 518, 982, 10815, 982, 26321, 547, 6936, 8771, 570, 345, 568, 23099, 630, 18250, 264, 326, 780, 305, 582, 908, 14339, 338, 692, 10521, 7833, 22203, 616, 4448, 547, 513, 3349, 676, 9187, 1824, 693, 835, 1439, 269, 14339, 645, 568, 3476, 982, 11425, 589, 269, 5637, 616, 5950, 8195, 689, 606, 3355, 5086, 7117, 607, 3254, 538, 519, 4137, 269, 3502, 566, 281, 18328, 815, 4099, 540, 2527, 282, 513, 815, 16070, 10231, 282, 4949, 815, 9588, 540, 8880, 10231, 282, 32318, 815, 9588, 540, 7299, 10231, 269, 1280, 1142, 540, 519, 1739, 6898, 267, 3313, 2436, 621, 568, 2953, 610, 11234, 780, 28557, 5549, 8091, 4949, 540, 519, 18328, 7620, 11224, 476, 271, 585, 1312, 22203, 563, 28557, 5549, 8091, 634, 5860, 540, 519, 22203, 1860, 741, 2557, 540, 2887, 563, 28557, 5549, 8091, 513, 288, 543, 513, 289, 616, 519, 1482, 7620, 563, 28557, 5549, 8091, 3807, 1354, 13941, 267, 519, 18328, 540, 645, 814, 513, 4130, 3432, 982, 519, 18328, 540, 589, 563, 28557, 5549, 8091, 14339, 338, 589, 543, 645, 5734, 519, 2666, 693, 519, 1482, 942, 563, 28557, 5549, 8091, 513, 288, 543, 13672, 289, 1312, 2333, 609, 942, 563, 28557, 5549, 8091, 513, 288, 543, 513, 289, 616, 8200, 593, 7117, 563, 28557, 5549, 8091, 32318, 568, 7620, 3160, 585, 519, 18328, 540, 589, 543, 645, 780, 11405, 12834, 692, 10521, 2042, 454, 272, 269, 634, 10231, 540, 1079, 13999, 593, 513, 5102, 2917, 609, 2527, 568, 7229, 454, 273, 269, 634, 10047, 540, 1079, 22203, 9187, 6838, 693, 835, 1439, 568, 3379, 780, 15478, 273, 269, 866, 0, 330, 7825, 3796, 2593, 692, 258, 476, 6795, 274, 269, 273, 5195, 538, 5998, 692, 1012, 28088, 692, 6795, 274, 269, 273, 5195, 11224, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 2791, 666, 849, 6460, 476, 6795, 274, 269, 273, 5998, 547, 5195, 780, 1012, 23586, 4542, 692, 11372, 17586, 519, 2179, 540, 5195, 676, 519, 7503, 3815, 547, 1205, 519, 1267, 538, 5998, 1384, 6795, 274, 269, 273, 11465, 6398, 476, 272, 269, 2568, 280, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 1012, 1215, 547, 6460, 476, 6795, 274, 269, 273, 5195, 547, 5998, 2496, 763, 7503, 3815, 689, 5195, 547, 5998, 568, 476, 272, 269, 2568, 280, 267, 799, 1797, 602, 476, 272, 5195, 568, 3160, 547, 476, 272, 269, 2568, 280, 5998, 1384, 272, 11465, 815, 476, 272, 269, 2568, 280, 5998, 692, 2414, 6460, 476, 6795, 274, 269, 273, 5195, 883, 5998, 649, 723, 547, 9062, 476, 6795, 274, 269, 273, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 2179, 689, 5195, 547, 5998, 269, 1284, 666, 849, 1106, 513, 8167, 547, 5173, 519, 1267, 1384, 272, 11465, 9890, 476, 272, 269, 2568, 280, 5998, 692, 6795, 274, 269, 273, 11465, 9890, 700, 263, 14790, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 3259, 700, 538, 5998, 1384, 299, 263, 14790, 264, 815, 476, 6795, 274, 269, 273, 11465, 6398, 476, 272, 269, 2568, 280, 5998, 692, 299, 263, 14790, 264, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 763, 3803, 1267, 568, 1384, 6795, 274, 269, 273, 11465, 9890, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 2171, 9959, 602, 476, 6795, 274, 269, 273, 5195, 568, 6697, 547, 476, 4817, 275, 269, 3393, 279, 279, 5998, 1384, 6795, 274, 269, 273, 5195, 815, 476, 4817, 275, 269, 3393, 279, 279, 5998, 692, 1012, 28088, 19406, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 769, 713, 2013, 2947, 4627, 562, 27197, 31644, 1448, 1079, 5195, 568, 5111, 8370, 4627, 15823, 21144, 1448, 2185, 2947, 8370, 5998, 1384, 6795, 274, 269, 273, 5195, 9881, 483, 476, 4817, 275, 269, 3393, 280, 5998, 692, 1012, 23586, 3349, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 5195, 547, 12919, 7503, 3349, 1384, 332, 3796, 630, 14741, 264, 12919, 630, 14790, 994, 6795, 275, 269, 273, 5195, 476, 4817, 277, 269, 6187, 278, 279, 5998, 454, 276, 4817, 269, 273, 5195, 476, 4817, 278, 269, 6858, 277, 279, 5998, 454, 6795, 277, 269, 273, 5195, 476, 4817, 280, 269, 26326, 279, 5998, 454, 6795, 278, 269, 273, 5195, 476, 31634, 269, 8660, 275, 279, 5998, 454, 6795, 279, 269, 273, 5195, 476, 280, 7830, 269, 2004, 274, 279, 5998, 454, 276, 4200, 269, 273, 5195, 476, 280, 5038, 269, 12208, 279, 5998, 454, 7785, 269, 273, 5195, 476, 280, 4792, 269, 278, 2641, 279, 5998, 454, 31430, 269, 273, 5195, 476, 280, 6858, 269, 20065, 279, 5998, 454, 2568, 273, 269, 273, 5195, 476, 280, 6924, 269, 280, 4375, 279, 5998, 454, 2568, 274, 269, 273, 5195, 476, 280, 3583, 269, 276, 4366, 279, 5998, 692, 1012, 19590, 8847, 692, 763, 4559, 3238, 538, 713, 7503, 616, 5195, 543, 12919, 269, 901, 568, 875, 789, 616, 3989, 1384, 2162, 30683, 692, 288, 13304, 568, 513, 1034, 2442, 6482, 1770, 540, 3259, 267, 3160, 547, 1034, 4122, 476, 276, 267, 18231, 3952, 630, 272, 267, 31318, 18126, 267, 610, 827, 476, 272, 267, 2568, 280, 7397, 1040, 634, 13304, 540, 476, 276, 267, 18231, 3952, 568, 1572, 2244, 13304, 610, 519, 29417, 13304, 547, 10646, 621, 689, 519, 562, 27658, 13304, 630, 272, 267, 5952, 273, 7397, 267, 827, 476, 277, 267, 5881, 277, 269, 272, 3952, 1040, 2422, 540, 519, 13304, 607, 513, 1770, 540, 6482, 568, 1631, 7361, 16876, 547, 519, 2136, 8003, 267, 519, 2136, 2276, 267, 543, 4516, 780, 2162, 18741, 18852, 692, 763, 9481, 518, 630, 32188, 281, 5998, 264, 568, 513, 1770, 540, 3259, 538, 519, 11973, 1062, 267, 3160, 547, 476, 1911, 271, 332, 630, 10193, 2854, 607, 476, 272, 292, 266, 274, 332, 1040, 898, 568, 4122, 1031, 13166, 585, 11589, 9883, 1063, 10923, 4025, 593, 2244, 538, 1034, 540, 519, 1158, 269, 0, 29771, 3842, 3049, 780, 1012, 16448, 539, 5884, 692, 16829, 676, 18281, 593, 5130, 476, 1556, 267, 476, 1001, 272, 1107, 476, 279, 281, 2537, 993, 692, 296, 723, 513, 9985, 3044, 5884, 269, 1775, 4318, 269, 1403, 594, 5066, 621, 594, 786, 1205, 513, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 610, 476, 277, 609, 3160, 5506, 780, 304, 272, 269, 1403, 267, 856, 540, 1250, 8289, 267, 2576, 20061, 602, 5884, 30548, 3045, 25555, 602, 621, 3884, 1406, 6029, 513, 476, 276, 267, 1018, 568, 519, 5506, 602, 621, 568, 6029, 513, 476, 277, 2496, 2791, 543, 707, 26393, 723, 8815, 538, 4434, 267, 602, 1058, 513, 476, 276, 581, 18202, 267, 1287, 707, 26393, 786, 2161, 4986, 267, 543, 786, 5066, 519, 5884, 1586, 269, 1261, 786, 1832, 593, 12902, 519, 5884, 2394, 621, 3884, 1406, 6029, 476, 276, 269, 2659, 26393, 3085, 1406, 9114, 610, 31376, 610, 1022, 824, 971, 8945, 2044, 780, 304, 476, 273, 269, 1306, 1354, 855, 1631, 519, 26393, 786, 14773, 950, 1109, 1492, 5884, 3884, 1406, 6029, 476, 275, 610, 476, 276, 630, 663, 646, 3580, 1152, 798, 602, 950, 519, 5884, 3884, 1406, 6029, 513, 476, 275, 610, 513, 476, 276, 1109, 269, 1548, 568, 519, 5506, 602, 621, 568, 6029, 1109, 277, 2496, 304, 274, 269, 23893, 2856, 267, 855, 711, 6029, 476, 274, 267, 476, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 1109, 277, 2496, 304, 275, 269, 23893, 2856, 267, 855, 711, 6029, 1109, 273, 267, 476, 274, 267, 476, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 1109, 277, 2496, 663, 6368, 2676, 304, 276, 269, 1109, 306, 877, 2856, 267, 855, 711, 6029, 476, 272, 267, 273, 267, 274, 267, 275, 610, 476, 276, 269, 1548, 568, 519, 5506, 540, 621, 6029, 476, 277, 2496, 1607, 2022, 568, 896, 968, 19868, 545, 267, 13174, 20806, 3188, 892, 543, 814, 476, 276, 4431, 865, 2484, 780, 2162, 476, 276, 8680, 4637, 865, 2484, 268, 5410, 835, 14872, 692, 272, 269, 476, 272, 269, 667, 303, 590, 4660, 16088, 692, 272, 281, 476, 272, 538, 476, 276, 630, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 543, 476, 277, 616, 519, 1152, 7399, 994, 273, 281, 476, 272, 538, 476, 275, 630, 272, 267, 476, 273, 267, 476, 274, 543, 476, 277, 616, 519, 1152, 7399, 994, 274, 281, 476, 272, 538, 476, 274, 630, 272, 267, 476, 273, 543, 476, 277, 616, 519, 1152, 7399, 994, 275, 281, 476, 272, 538, 476, 273, 630, 272, 543, 476, 277, 616, 519, 1152, 7399, 994, 276, 281, 621, 814, 547, 581, 513, 476, 277, 692, 273, 269, 476, 273, 269, 18281, 590, 4660, 16088, 692, 12552, 667, 303, 269, 594, 2503, 602, 596, 1522, 723, 513, 1434, 2856, 1141, 713, 835, 568, 2469, 692, 274, 269, 476, 274, 269, 18281, 590, 4660, 16088, 692, 11917, 2365, 331, 594, 11540, 713, 1966, 538, 1931 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 269, 4985, 692, 290, 2734, 622, 10350, 4016, 547, 519, 1062, 540, 3652, 267, 2853, 267, 543, 3157, 676, 799, 513, 2754, 568, 9859, 543, 6417, 269, 634, 1523, 814, 6591, 1713, 3007, 538, 2487, 1296, 1813, 547, 1164, 3491, 12803, 2665, 540, 9746, 23659, 29342, 766, 543, 2883, 23215, 1023, 971, 607, 1346, 5473, 2037, 1258, 267, 2622, 4467, 267, 543, 2657, 21026, 269, 1452, 13685, 723, 3366, 547, 2799, 7125, 585, 6963, 532, 9746, 10350, 6127, 547, 2327, 3152, 12477, 267, 11413, 267, 543, 5539, 538, 9746, 3375, 6194, 269, 769, 713, 1576, 1770, 267, 649, 786, 4983, 519, 4657, 5251, 540, 9746, 10350, 15024, 267, 3226, 538, 6935, 547, 1876, 267, 2229, 267, 543, 1857, 3609, 2079, 269, 1284, 786, 2263, 1883, 3656, 543, 9431, 10850, 12044, 9746, 2623, 267, 5659, 5571, 9840, 3823, 519, 1909, 540, 12250, 9520, 543, 2671, 14516, 17933, 267, 543, 6218, 6932, 3466, 543, 2591, 538, 5009, 2500, 9746, 10350, 780, 2862, 269, 13751, 15753, 3311, 717, 1478, 940, 23654, 26291, 692, 288, 269, 1530, 15247, 543, 16510, 8189, 630, 306, 4488, 264, 22769, 692, 763, 22444, 4249, 513, 2565, 1909, 538, 5935, 9746, 10350, 4441, 998, 922, 7939, 540, 19736, 6990, 269, 14329, 476, 1691, 320, 268, 279, 9217, 7565, 278, 1070, 5018, 538, 519, 6679, 1349, 267, 28837, 875, 9583, 2930, 14074, 1369, 6626, 6042, 666, 3648, 1764, 9746, 10350, 6384, 269, 1635, 3850, 3549, 547, 23868, 1978, 2010, 540, 2671, 14516, 18747, 689, 741, 21285, 2326, 267, 713, 4341, 3927, 7182, 2671, 14935, 262, 2702, 547, 3310, 9746, 4507, 543, 3664, 269, 1306, 971, 267, 621, 4564, 513, 29653, 3135, 540, 7521, 1063, 14078, 5275, 8112, 538, 5883, 741, 12602, 543, 20090, 14223, 2516, 11319, 585, 6793, 23388, 543, 12477, 780, 289, 269, 7203, 3316, 525, 14114, 343, 2917, 2920, 540, 476, 1220, 273, 692, 303, 21724, 538, 3210, 547, 519, 1164, 3491, 12803, 8051, 23215, 1023, 540, 519, 2038, 476, 1220, 271, 338, 267, 519, 7203, 3316, 525, 14114, 343, 2917, 2920, 5189, 27789, 15024, 6322, 693, 7393, 9746, 10350, 543, 19620, 20090, 6015, 269, 6206, 14074, 3769, 8260, 908, 4830, 2912, 3218, 10047, 267, 9591, 7803, 20507, 585, 30081, 2238, 267, 8506, 9460, 11675, 543, 18435, 11675, 547, 5909, 1518, 2883, 5359, 267, 543, 2870, 519, 5398, 7577, 19098, 744, 951, 697, 8274, 630, 303, 7563, 15477, 264, 547, 10038, 20894, 10909, 269, 6736, 30852, 540, 922, 24675, 727, 10220, 3790, 543, 1761, 26516, 4539, 267, 7203, 3316, 525, 14114, 343, 2917, 3788, 513, 19506, 4062, 540, 9086, 538, 772, 2529, 269, 9746, 10350, 1686, 780, 290, 269, 667, 15957, 6363, 17213, 9931, 9335, 21637, 543, 19901, 10466, 2920, 540, 476, 1001, 271, 692, 1103, 519, 21987, 540, 519, 2518, 2883, 6433, 540, 476, 1220, 279, 267, 6837, 5293, 519, 667, 15957, 6363, 17213, 2920, 267, 799, 2417, 9450, 9746, 10350, 4170, 585, 15597, 21775, 3549, 269, 7324, 922, 3875, 14074, 267, 667, 15957, 6363, 17213, 3964, 1007, 10324, 13180, 23930, 4170, 267, 2813, 27646, 321, 12294, 20038, 267, 543, 11292, 23265, 8476, 13359, 2924, 593, 2161, 6823, 1790, 599, 21368, 269, 1717, 267, 899, 7203, 3316, 525, 14114, 343, 2917, 1354, 621, 267, 667, 15957, 6363, 17213, 814, 5185, 9880, 689, 930, 20453, 945, 8044, 602, 922, 1950, 6042, 588, 604, 548, 5647, 543, 20818, 3768, 826, 24675, 593, 4213, 780, 7656, 269, 10020, 540, 2382, 6627, 7767, 832, 543, 9523, 14516, 2920, 13659, 692, 9743, 6627, 9520, 27137, 607, 27404, 7482, 267, 8994, 7482, 267, 543, 21963, 7482, 1765, 3835, 8101, 32022, 936, 4207, 3854, 6990, 1813, 547, 741, 5318, 3180, 902, 543, 3742, 9467, 2994, 269, 9182, 267, 789, 5051, 1265, 2933, 693, 519, 21282, 540, 9840, 4478, 9746, 10350, 15024, 269, 2201, 835, 1688, 267, 12250, 9520, 4865, 1312, 519, 2200, 543, 15314, 2556, 547, 6895, 543, 4497, 609, 14769, 3549, 282, 593, 519, 824, 1688, 267, 4145, 6414, 827, 1761, 7526, 540, 1719, 16109, 689, 2110, 3856, 7443, 24500, 610, 28930, 725, 609, 9746, 1202, 11107, 780, 18704, 14516, 17933, 13054, 513, 3119, 6174, 998, 799, 12250, 9520, 3343, 547, 1198, 1689, 1369, 6098, 10909, 269, 2920, 643, 1235, 949, 2308, 1585, 12485, 8151, 689, 4357, 16395, 543, 3297, 7308, 27214, 25333, 25211, 532, 3646, 547, 811, 13720, 1049, 4485, 971, 607, 25937, 2671, 14516, 21368, 267, 530, 1645, 1857, 11044, 267, 610, 1256, 22745, 21285, 24515, 269, 2755, 2671, 14516, 17933, 666, 5732, 10776, 2763, 9283, 538, 9746, 2773, 543, 10350, 2853, 267, 13915, 13657, 1996, 7050, 16126, 593, 891, 7459, 2016, 741, 19514, 3950, 2594, 543, 1761, 2942, 5007, 885, 780, 4353, 269, 7351, 12367, 543, 12694, 538, 26472, 13229, 23654, 26291, 692, 288, 269, 11536, 294, 16949, 543, 12655, 20971, 11150, 692, 20245, 267, 1514, 267, 543, 10350, 630, 2464, 294, 264, 9270, 723, 21959, 1229, 2810, 3007, 1851, 9520, 543, 14519, 7567, 607, 2629, 3334, 540, 1279, 3856, 1871, 5137, 543, 1981, 2359, 269, 22353, 267, 1082, 5238, 1631, 6451, 11536, 294, 2188, 883, 741, 5092, 3375, 6194, 3157, 267, 10452, 3395, 6284, 540, 519, 1570, 640, 540, 1875, 21129, 2574, 1344, 543, 30393, 6788, 1471, 268, 14504, 23724, 9746, 2932, 269, 16480, 267, 3044, 1944, 11536, 294, 14573, 543, 4180, 4086, 1464, 2066, 1615, 340, 619, 2611, 10770, 2591, 267, 635, 2364, 908, 3646, 547, 11753, 6940, 3741, 9846, 2066, 2823, 31987, 780, 289, 269, 19731, 13734, 32011, 543, 15765, 13574, 11429, 14362, 692, 17556, 2072, 1222, 9479, 2099, 17319, 4808, 8716, 12250, 9520, 547, 9772, 14942, 9562, 2853, 13988, 609, 7393, 1279, 3856, 1871, 543, 5807, 4264, 8804, 269, 3689, 2919, 538, 519, 2136, 8003, 267, 2147, 7341, 723, 2094, 3262, 11451, 267, 1519, 3567, 781, 19731, 13734, 8943, 543, 519, 3864, 5742, 781, 11059, 4643, 593, 5685, 3496, 12655, 12618, 269, 11330, 7859, 8044, 602, 971, 9479, 948, 5447, 4690, 1063, 10697, 9946, 267, 18689, 25808, 267, 543, 2486, 693, 1804, 1247, 5807, 3152, 3972, 543, 11413, 2429, 2883, 6990, 780, 290, 269, 25895, 2598, 4533, 687, 543, 7913, 26306, 692, 305, 777, 573, 7760, 538, 3059, 4066, 3136, 547, 28196, 710, 9746, 8916, 267, 9306, 3209, 3255, 543, 2591, 585, 10350, 9439, 269, 3245, 5841, 4987, 543, 3684, 1565, 547, 9893, 543, 14590, 267, 6639, 10124, 28173, 8242, 1983, 1115, 267, 7347, 1981, 4879, 16097, 267, 543, 13261, 10721, 3889, 5827, 540, 10188, 9687, 2344, 2175, 269, 5015, 267, 2055, 7282, 1239, 7834, 267, 5683, 3642, 3156, 267, 543, 3743, 946, 540, 2029, 3138, 558, 1804, 267, 14053, 13857, 6114, 689, 22124, 267, 2872, 3401, 267, 543, 3540, 2486, 3906, 7567, 780, 309, 269, 10390, 692, 2026, 25967, 1819, 676, 938, 6514, 540, 3656, 10850, 267, 12250, 20090, 5107, 267, 543, 28928, 3466, 267, 9746, 10350, 15024, 13822, 513, 6422, 543, 15491, 6389, 6353, 676, 6024, 9542, 543, 16311, 566, 269, 19793, 1324, 6099, 4093, 3340, 13326, 12721, 14422, 267, 11028, 4290, 532, 28836, 4690, 267, 543, 10128, 3309, 5380, 883, 17396, 4507, 17841, 547, 13346, 13865, 7569, 269, 3414, 11826, 2079, 543, 5483, 5188, 267, 1857, 3609, 19767, 1404, 15747, 5107, 538, 14027, 16268, 11407, 1472, 891, 4105, 2152, 267, 6038, 7700, 547, 8902, 267, 811, 12581, 267, 543, 4264, 2804, 1949, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1692, 519, 23654, 23721, 1772, 21744, 269, 18435, 302, 2593, 14592, 519, 16548, 585, 3817, 540, 9746, 10350, 15024, 563, 17809, 2064, 13317, 547, 1776, 12250, 23265, 5870, 269, 901, 835, 786, 1445, 593, 2657, 338, 1926, 630, 29369, 10345, 281, 670, 13612, 1040, 27294, 593, 519, 16786, 1331, 24310, 2152, 267, 1699, 5718, 543, 1870, 4640, 267, 519, 7577, 779, 9746, 10350, 543, 519, 3984, 540, 4031, 7057, 5063, 19429, 1996, 543, 593, 15773, 540, 519, 7577, 269, 9523, 6868, 666, 7390, 538, 1268, 610, 3842, 7658, 935, 12401, 269, 13638, 267, 5239, 476, 272, 267, 476, 1220, 273, 454, 11742, 281, 476, 275, 281, 1428, 10681, 630, 3633, 307, 994, 20278, 281, 3038, 2064, 13317, 267, 5549, 563, 278, 1789, 25004, 22971, 454, 6124, 3840, 267, 1715, 3840, 476, 1911, 866, 454, 11965, 29262, 693, 476, 18891, 268, 31229, 268, 17168, 271, 454, 20376, 20914, 543, 16510, 8189, 30626, 29542, 623, 8636, 6069, 2242, 547, 21285, 3652, 538, 513, 4633, 1354, 519, 7027, 540, 2382, 6627, 7767, 832, 269, 623, 8636, 6700, 14874, 22444, 4341, 476, 1691, 320, 268, 279, 9217, 7565, 278, 1040, 901, 4341, 2636, 3549, 547, 522, 2466, 689, 741, 21285, 6898, 2671, 26782, 18747, 602, 4308, 609, 968, 867, 2435, 1870, 2223, 610, 6927, 602, 616, 540, 6161, 547, 2359, 267, 711, 2671, 1144, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 32045, 1315, 6554, 1315, 4937, 1315, 5398, 8889, 5811, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 476, 274, 269, 272, 5623, 540, 1401, 12371, 18623, 1222, 593, 4406, 4997, 30511, 22088, 781, 3718, 692, 2026, 835, 540, 519, 1034, 3078, 4207, 11204, 5830, 267, 4406, 4997, 30511, 22088, 814, 21959, 1229, 1713, 3007, 689, 5640, 2066, 1585, 4610, 267, 1519, 5339, 9880, 267, 2686, 2090, 267, 543, 6138, 269, 901, 3296, 6663, 547, 1683, 606, 7650, 540, 519, 4540, 14046, 11407, 4478, 30511, 22088, 781, 1560, 540, 960, 267, 10223, 922, 4644, 1369, 519, 6626, 2796, 540, 11204, 3332, 543, 1007, 1570, 1143, 269, 1284, 786, 2263, 875, 1200, 5708, 12066, 956, 609, 4798, 971, 607, 9194, 267, 3961, 267, 1893, 267, 543, 3965, 267, 543, 875, 891, 12969, 609, 519, 10952, 5943, 540, 1007, 1570, 1143, 269, 1635, 6313, 7986, 14046, 4930, 267, 1395, 21106, 267, 543, 12995, 10070, 267, 649, 786, 5490, 883, 519, 2565, 21200, 540, 30511, 22088, 781, 2101, 1568, 543, 2708, 741, 7418, 547, 938, 1620, 540, 1312, 11204, 2528, 543, 519, 7811, 24598, 25751, 540, 1007, 1570, 1143, 780, 288, 24567, 1719, 538, 30511, 22088, 781, 522, 324, 12320, 516, 666, 581, 4767, 538, 4081, 10580, 936, 519, 2250, 8717, 269, 634, 5354, 540, 14046, 9382, 1445, 593, 1614, 540, 1200, 9691, 28601, 9089, 281, 11968, 3824, 337, 5451, 341, 573, 657, 630, 1001, 275, 1070, 5487, 2351, 807, 632, 3765, 1019, 550, 525, 630, 1001, 276, 1070, 543, 2677, 328, 15300, 12312, 19660, 630, 1001, 280, 1040, 1452, 5931, 2709, 3638, 14099, 585, 3408, 1813, 547, 741, 5499, 9423, 2553, 267, 954, 3667, 7081, 267, 543, 6278, 609, 10296, 1514, 2152, 269, 9182, 267, 1082, 5640, 1935, 30511, 22088, 781, 1568, 998, 519, 14485, 540, 2022, 19640, 1143, 267, 9059, 17779, 267, 543, 2797, 17933, 269, 1717, 267, 621, 568, 1152, 5063, 602, 13915, 723, 13175, 6236, 1200, 6386, 998, 519, 7828, 540, 1007, 1570, 1143, 267, 799, 3091, 4195, 4030, 883, 519, 1950, 3347, 1063, 1480, 1995, 267, 1875, 16058, 8116, 267, 543, 2825, 4145, 780, 3080, 8037, 9295, 547, 519, 1353, 540, 30511, 22088, 781, 1568, 2501, 689, 3057, 17144, 3600, 739, 320, 22513, 5451, 526, 14162, 781, 2376, 834, 9199, 1424, 12559, 775, 281, 24779, 267, 15350, 267, 543, 7698, 640, 538, 4406, 4997, 30511, 22088, 781, 11470, 257, 630, 1708, 272, 1040, 3371, 267, 3600, 739, 320, 22513, 5451, 526, 14162, 13187, 602, 30511, 22088, 18271, 513, 3982, 1106, 540, 1007, 1570, 626, 15312, 547, 6813, 519, 2833, 540, 20404, 543, 15076, 269, 3414, 2673, 13220, 540, 11968, 3824, 337, 5451, 341, 573, 657, 543, 5487, 2351, 807, 632, 3765, 1019, 550, 525, 267, 1352, 9727, 875, 30511, 22088, 1439, 3298, 3615, 543, 5624, 609, 28146, 1379, 267, 7551, 27200, 2757, 10236, 12510, 878, 5380, 269, 5015, 267, 3600, 739, 320, 22513, 5451, 526, 14162, 733, 1742, 602, 30511, 22088, 3096, 713, 12716, 4640, 547, 20838, 519, 6946, 4296, 1063, 1367, 8823, 543, 7104, 12583, 267, 3226, 1346, 6825, 676, 12761, 543, 2530, 780, 5194, 1271, 6304, 538, 519, 2361, 568, 1500, 676, 700, 23158, 1520, 686, 3570, 623, 2946, 30959, 9986, 643, 4100 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 18138, 707, 2196, 610, 11878, 563, 9915, 296, 321, 3881, 22731, 623, 12714, 26121, 25028, 281, 5901, 707, 6049, 267, 10569, 543, 1507, 2123, 3688, 2922, 543, 5150, 1247, 4881, 267, 6972, 267, 19482, 610, 10707, 269, 634, 3501, 6049, 23649, 585, 4881, 269, 17797, 762, 22765, 269, 645, 8784, 6954, 2336, 289, 12239, 681, 9128, 28421, 20937, 23817, 2752, 12601, 2207, 256, 634, 674, 3918, 4932, 10976, 292, 568, 519, 3312, 267, 1655, 2298, 543, 1283, 7779, 14436, 22514, 2139, 593, 8835, 269, 634, 9547, 540, 938, 5561, 14753, 585, 3294, 256, 8058, 707, 632, 11732, 3283, 602, 596, 1416, 256, 589, 25783, 293, 17614, 717, 9281, 307, 585, 3025, 950, 621, 2501, 547, 2123, 3106, 269, 634, 10189, 3568, 14436, 3106, 22514, 609, 513, 6292, 540, 28253, 14436, 13164, 543, 513, 13561, 4859, 9126, 454, 13052, 4753, 303, 3582, 3201, 23370, 22218, 269, 654, 2562, 301, 5058, 674, 7419, 290, 3582, 3201, 14510, 269, 13773, 2922, 609, 713, 28489, 267, 17426, 267, 11741, 543, 2706, 6505, 1305, 540, 3106, 8279, 269, 3962, 1769, 22179, 1175, 476, 272, 270, 274, 12063, 267, 1507, 607, 513, 18292, 6529, 269, 1924, 1769, 543, 11741, 596, 4465, 1406, 917, 596, 2461, 9849, 873, 267, 855, 5179, 1235, 786, 5544, 596, 1318, 2476, 269, 476, 274, 3532, 8279, 829, 3926, 1797, 1164, 15287, 267, 476, 274, 3750, 2275, 10248, 8654, 12331, 585, 1022, 8317, 2433, 11931, 267, 3500, 1166, 4770, 267, 3728, 8755, 269, 12752, 3056, 9075, 3769, 2285, 596, 909, 547, 476, 1911, 3108, 6007, 1272, 563, 2026, 606, 8835, 21133, 267, 594, 7118, 593, 27216, 16306, 269, 0, 9213, 568, 2817, 674, 550, 1415, 331, 17607, 4303, 267, 513, 1554, 540, 2962, 547, 6318, 1857, 4656, 827, 606, 14849, 1966, 281, 1004, 12955, 693, 24034, 3928, 1813, 547, 24648, 958, 1500, 535, 550, 1415, 331, 267, 513, 5906, 10991, 23776, 269, 769, 4993, 267, 936, 476, 277, 267, 9610, 1004, 5747, 689, 513, 535, 550, 1415, 331, 5829, 30072, 538, 476, 1708, 272, 269, 674, 550, 1415, 331, 568, 3238, 538, 811, 7972, 540, 4892, 896, 476, 2004, 982, 1022, 824, 2014, 540, 2669, 267, 1519, 2295, 2068, 267, 2860, 267, 543, 782, 824, 10913, 563, 20055, 721, 3262, 519, 2262, 827, 519, 4220, 540, 535, 550, 1415, 331, 267, 543, 2671, 713, 1344, 2066, 707, 5121, 912, 268, 634, 4993, 4972, 540, 5398, 2657, 630, 7374, 15771, 264, 814, 513, 535, 550, 1415, 331, 2546, 1141, 596, 666, 1451, 811, 827, 535, 550, 1415, 331, 543, 535, 550, 1415, 331, 1449, 17446, 563, 268, 674, 550, 1415, 331, 568, 10464, 267, 14984, 267, 543, 19311, 267, 865, 4308, 619, 946, 621, 547, 1118, 16995, 21447, 269, 898, 666, 849, 581, 1336, 538, 5428, 5061, 899, 25933, 543, 11022, 7246, 563, 268, 1403, 596, 2461, 6236, 1210, 5061, 267, 1449, 707, 1587, 585, 535, 550, 1415, 331, 267, 4163, 562, 531, 2135, 821, 630, 301, 2117, 534, 1070, 543, 917, 519, 4191, 540, 606, 30072, 563, 268, 1403, 596, 616, 10010, 609, 3075, 946, 543, 1616, 948, 547, 1118, 2318, 1689, 267, 1289, 4993, 779, 1533, 4204, 2126, 29748, 1899, 693, 476, 8517, 268, 279, 8064, 268, 28071, 273, 610, 1921, 609, 513, 2800, 5786, 3919, 998, 7131, 15771, 779, 15682, 563, 268, 1403, 596, 616, 851, 540, 606, 3919, 602, 568, 5461, 538, 26084, 562, 531, 2135, 821, 267, 1224, 811, 827, 519, 667, 295, 5425, 715, 531, 2135, 821, 17392, 5741, 543, 1451, 875, 547, 4019, 563, 268, 5192, 562, 531, 2135, 821, 689, 707, 2199, 26849, 610, 676, 1210, 519, 2817, 15053, 22159, 29663, 779, 562, 531, 2135, 821, 1569, 4786, 269, 0, 7968, 309, 476, 1708, 274, 590, 9331, 300, 2207, 2910, 7838, 10345, 454, 5575, 4147, 26386, 454, 1103, 5948, 2060, 16334, 842, 324, 7546, 4406, 24809, 454, 303, 24411, 11150, 543, 29621, 9828, 585, 476, 272, 560, 543, 476, 273, 526, 4147, 11334, 454, 4596, 7838, 10345, 6673, 24165, 309, 3633, 15760, 5990, 667, 7968, 11286, 16774, 5508, 11581, 24102, 6730, 27699, 6579, 11862, 454, 1015, 3108, 593, 24683, 663, 3381, 1570, 543, 476, 1015, 3108, 22356, 1565, 454, 15697, 20131, 20208, 454, 12606, 762, 4930, 543, 2200, 454, 16966, 593, 5985, 543, 18376, 454, 17345, 10088, 1386, 585, 519, 4972, 540, 4065, 543, 10341, 661, 11901, 14400, 6092, 25890, 476, 1708, 274, 454, 17359, 1569, 547, 519, 1576, 454, 4415, 936, 476, 276, 267, 1822, 2228, 1053, 267, 519, 4132, 10017, 4659, 2501, 3810, 5227, 607, 513, 14400, 6092, 3038, 3187, 585, 9721, 1153, 3610, 563, 2171, 849, 10950, 6281, 1153, 3610, 543, 590, 18456, 547, 938, 4832, 6030, 563, 5575, 4147, 26386, 454, 920, 730, 585, 1101, 1362, 3610, 538, 3352, 880, 3119, 1153, 4928, 454, 5575, 4147, 26386, 568, 513, 1576, 2919, 538, 3210, 547, 519, 2115, 540, 1101, 1362, 3610, 538, 9721, 3119, 1153, 13460, 269, 2060, 4557, 1296, 540, 1995, 538, 513, 3099, 540, 4928, 5468, 267, 4406, 24809, 631, 1638, 523, 814, 6170, 519, 5354, 540, 1200, 4876, 3450, 1101, 543, 2034, 1362, 269, 3414, 1200, 2228, 5867, 267, 16334, 842, 324, 7546, 4406, 24809, 14753, 547, 3610, 1169, 1554, 827, 1312, 519, 9620, 543, 18454, 789, 3068, 538, 741, 13460, 269, 901, 4276, 609, 8284, 3119, 3610, 814, 3177, 4406, 24809, 609, 1390, 5813, 883, 519, 1808, 7965, 9721, 3610, 3068, 538, 3450, 713, 1362, 1377, 563, 10527, 1292, 2832, 540, 713, 1576, 568, 547, 948, 3610, 1745, 811, 8746, 267, 1447, 14129, 543, 18668, 538, 519, 1101, 1362, 4928, 269, 11822, 3450, 2994, 543, 2645, 666, 1118, 513, 5458, 3017, 950, 8045, 9846, 3034, 1998, 24809, 544, 1638, 523, 267, 1576, 17082, 454, 19931, 9752, 11150, 585, 3689, 4147, 11334, 454, 11045, 15659, 15858, 5004, 267, 7756, 2747, 267, 543, 29621, 454, 763, 6859, 540, 713, 1576, 616, 547, 1683, 4052, 267, 960, 762, 543, 2500, 2994, 547, 1489, 1101, 1362, 3610, 538, 519, 3450, 540, 7924, 543, 6746, 2329, 267, 1683, 1489, 538, 2474, 540, 5883, 7180, 538, 519, 4928, 1510, 13461, 593, 7180, 2359, 2645, 267, 543, 4363, 4052, 2994, 585, 519, 10014, 540, 1453, 609, 3606, 2115, 538, 519, 13416, 4928, 269, 901, 1576, 786, 849, 1489, 3610, 538, 9962, 4928, 2359, 543, 1949, 563, 27645, 786, 581, 3177, 609, 7811, 543, 4052, 1489, 2994, 543, 16097, 547, 948, 873, 538, 741, 3450, 540, 713, 1808, 2085, 1895, 269, 1358, 786, 849, 581, 3177, 609, 2093, 585, 3450, 998, 1404, 267, 543, 3742, 3946, 6823, 3450, 4485, 267, 607, 1134, 607, 2093, 585, 4879, 540, 267, 585, 543, 607, 1565, 269, 589, 3099, 540, 3450, 6163, 543, 4485, 786, 581, 9415, 543, 8268, 547, 2327, 782, 1565, 6163, 616, 524, 23926, 585, 538, 519, 4928, 269, 9752, 538, 513, 22488, 267, 7471, 6073, 786, 581, 9415, 2429, 519, 1576, 563, 2467, 786, 581, 513, 9074, 538, 713, 1576, 593, 10014, 538, 519, 13416, 4928, 269, 11109, 5249, 538, 606, 20284, 1362, 538, 519, 2250, 267, 543, 7487, 519, 2956, 540, 5610, 543, 9258, 5610, 267, 713, 1858, 568, 540, 5458, 2956, 547, 4406, 24809, 269, 7756, 2747, 786, 849, 1404, 606, 1271, 1909, 538, 519, 1576, 267, 607, 3610, 616, 3177, 609, 4052, 2093, 585, 7598, 15285, 538, 513, 11112, 4928, 563, 1607, 1576, 568, 4557, 3108, 540, 8301, 1543, 267, 3308, 1543, 543, 4879, 538, 2698, 267, 543, 972, 616, 4557, 3108, 540, 5227, 2542, 543, 2200, 585, 596, 547, 2417, 1020, 707, 1378, 1565, 563, 25603, 2659, 26189, 528, 454, 4415, 513, 5763, 540, 6791, 6591, 689, 513, 8717, 540, 3450, 538, 3309, 5054, 267, 4406, 24809, 568, 606, 12913, 3119, 1153, 19829, 945, 4867, 791, 11301, 1200, 1702, 547, 1101, 11665, 1053, 269, 901, 1880, 1362, 1377, 814, 1044, 519, 22294, 540, 4406, 24809, 779, 3450, 4876, 267, 543, 1352, 3217, 513, 16994, 1719, 538, 8537, 3450, 2409, 543, 3608, 4928, 2359, 2853, 563, 11749, 24809, 568, 7184, 8149, 547, 6024, 1565, 543, 8362, 2535, 919, 538, 1357, 21577, 607, 1312, 606, 7390, 2465, 543, 513, 3984, 547, 3986, 1200, 3318, 1646, 269, 4406, 24809, 814, 2813, 8940, 6230, 14243, 842, 324, 7546, 1998, 24809, 2593, 267, 606, 2228, 3760, 2966, 547, 1489, 8284, 3610, 609, 3450, 2994, 267, 5499, 2093, 267, 543, 513, 5763, 540, 2200, 563, 2171, 3513, 1445, 593, 912, 268, 634, 4804, 5113, 454, 268, 15099, 12020, 454, 268, 12754, 12020, 454, 268, 13229, 9752, 543, 4804, 11150, 454, 268, 13229, 10495, 454, 268, 20283, 532, 4578, 543, 2422, 540, 5303, 538, 519, 15858, 454, 763, 1576, 568, 5258, 883, 1614, 2516, 602, 616, 4881, 593, 519, 1739, 7389, 912, 268, 6828, 2290, 281, 5147, 476, 274, 6113, 1107, 476, 1626, 628, 476, 1708, 274, 454, 268, 6828, 5565, 281, 5147, 476, 1704, 628, 1107, 476, 1789, 628, 476, 1708, 274, 454, 268, 6828, 8422, 281, 4864, 476, 272, 560, 1107, 476, 1240, 628, 476, 1708, 274, 454, 8133, 267, 782, 960, 568, 16913, 676, 938, 552, 2389, 12460, 2319, 267, 799, 1797, 602, 596, 786, 4309, 5955, 543, 596, 786, 581, 711, 1881, 952, 811, 1469, 568, 2838, 563, 5472, 540, 938, 661, 11901, 14400, 20043, 616, 1175, 24843, 4200, 829, 1576, 269, 9796, 1175, 24843, 11260, 585, 1079, 6030, 610, 24843, 7742, 585, 1614, 2336, 9617, 1039, 519, 1576, 543, 519, 4266, 547, 707, 7047, 543, 519, 10958, 786, 8850, 581, 4294, 269, 5457, 267, 607, 829, 23370, 4808, 267, 596, 3112, 2347, 1079, 6030, 538, 519, 1482, 942, 1922, 9347, 563, 5978, 3119, 1445, 568, 593, 596, 1565, 543, 1287, 5885, 1453, 609, 741, 3929, 9716, 269, 1306, 513, 1267, 267, 649, 1747, 1871, 593, 14436, 1565, 269, 1411, 3580, 581, 4280, 547, 1865, 707, 1378, 1620, 543, 2833, 267, 607, 1134, 607, 5618, 24096, 540, 1271, 3584, 269, 2353, 10467, 616, 1447, 982, 476, 4335, 1913, 563, 2171, 616, 18930, 539, 609, 1453, 779, 9716, 543, 938, 5692, 568, 547, 18836, 607, 1454, 1702, 607, 649, 666, 593, 547, 519, 1004, 945, 2339, 1107, 519, 3610, 543, 590, 18456, 945, 616, 13057, 267, 5885, 543, 5935, 938, 1453, 1169, 2582, 1554, 563, 5472, 540, 938, 6030, 723, 1044, 2919, 609, 519, 1034, 1699, 1382, 538, 519, 1858, 540, 1072, 543, 3872, 6530, 269, 4841, 945, 723, 6192, 6030, 609, 721, 538, 519, 2250, 1832, 4947, 1394, 585, 811, 269, 4208, 286, 5221, 938, 5561, 2347, 6030, 602, 616, 25888, 1790, 17977, 2407, 540, 6209, 1344, 543, 2500, 2994, 602, 2731, 798, 1711, 1689, 267, 711, 1175, 2066, 13460, 267, 855, 2066, 11678, 2336, 2171, 786, 581, 538, 5905, 1354, 707, 1576, 6238, 609, 21189, 5528, 269, 1280, 1631, 267, 2972, 519, 2063, 2165, 540, 1153, 543, 649, 3580, 1294, 596, 538, 5147, 12458, 1872, 755, 585, 930, 4832, 1565, 256, 0, 288, 17890, 2376, 538, 15019, 3163, 18225, 5654, 693, 667, 784, 11927, 543, 519, 824, 9709, 10357, 2275, 885, 538, 3624, 267, 543, 13187, 602, 1256, 1510, 4914, 16413, 685, 948, 267, 3624, 2907, 814, 519, 2702, 547, 2490, 1472, 922, 1378, 2825, 9552, 912, 763, 4566, 585, 29399, 321, 2967, 344, 340, 892, 821, 540, 519, 3368, 28273, 7999, 10357, 2275, 885, 267, 803, 6549, 641, 565, 2478, 543, 1698, 8558, 540, 5533, 594, 10272, 713, 5614, 547, 15378, 2436, 3624, 666, 11653, 3294, 856, 540, 2825, 31685, 892, 26200, 6537, 676, 9039, 824, 982, 5261, 5062, 10673, 965, 267, 519, 9976, 5449, 968, 16675, 25760, 892, 540, 519, 2160, 540, 9098, 779, 6189, 1153, 543, 5601, 15289, 540, 3013, 779, 4264, 17393, 793, 3350, 269, 769, 476, 1960, 277, 5062, 10673, 965, 729, 519, 1101, 267, 543, 865, 2484, 1152, 267, 1367, 547, 3094, 519, 6519, 5600, 8366, 585, 3039, 1374, 7498, 295, 340, 836, 321, 2967, 344, 340, 267, 538, 2484, 27040, 3624, 267, 729, 519, 1101, 1646, 1788, 676, 519, 3624, 27138, 2529, 269, 4741, 585, 12655, 4886, 267, 513, 18758, 5062, 10673, 965, 3323, 609, 667, 1263, 15089, 267, 519, 8250, 540, 5449, 4457, 6205, 667, 1263, 2473, 807, 14563, 269, 5062, 10673, 965, 779, 12400, 13269, 513, 4190, 751, 731, 1886, 540, 513, 8498, 11423, 513, 4104, 539, 14860, 269, 4706, 5321, 941, 547, 4183, 3859, 8440, 267, 10357, 1532, 9581, 1500, 540, 18720, 543, 10036, 267, 543, 7013, 4598, 547, 11694, 7943, 2507, 763, 2199, 16724, 5697, 547, 1628, 519, 1007, 5321, 267, 667, 2967, 2473, 807, 565, 784, 267, 945, 568, 849 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 5804, 4587, 1286, 3631, 899, 519, 476, 2735, 276, 268, 1960, 273, 4258, 341, 549, 2280, 6682, 16619, 594, 4629, 290, 268, 2098, 547, 811, 2487, 3631, 899, 519, 476, 1708, 271, 27974, 650, 659, 595, 4811, 267, 6517, 723, 8854, 998, 513, 16854, 7004, 936, 519, 1296, 269, 634, 16669, 2872, 267, 899, 1082, 824, 6080, 267, 814, 2938, 3356, 538, 519, 1858, 540, 6639, 8441, 563, 3719, 621, 4667, 519, 2872, 5716, 267, 1519, 519, 15055, 540, 23592, 267, 5292, 17383, 267, 543, 10158, 15879, 11179, 669, 9506, 856, 1007, 6191, 543, 2533, 267, 972, 779, 1100, 10213, 799, 9583, 3552, 8798, 1522, 4166, 1831, 519, 2343, 269, 1717, 267, 1934, 616, 930, 3466, 602, 616, 2907, 13321, 519, 2872, 563, 2690, 5553, 267, 6517, 723, 1044, 13324, 676, 3154, 610, 4620, 1503, 267, 855, 7444, 855, 15983, 267, 3167, 6517, 616, 11543, 2666, 538, 519, 2872, 269, 23663, 13324, 676, 3154, 610, 4620, 1503, 723, 1044, 1634, 547, 2014, 2011, 5533, 269, 1358, 2285, 1055, 20715, 6878, 602, 616, 5739, 547, 519, 1604, 269, 898, 568, 1100, 9983, 602, 3167, 6517, 616, 4742, 513, 7678, 538, 2413, 2053, 563, 4322, 6517, 946, 835, 610, 811, 3167, 610, 20086, 16546, 585, 27668, 269, 18766, 689, 1373, 10357, 7888, 267, 789, 666, 849, 4688, 596, 930, 2724, 269, 1358, 666, 581, 9901, 693, 1753, 267, 693, 960, 267, 610, 593, 519, 4155, 607, 3379, 547, 824, 6517, 602, 2154, 3154, 610, 4492, 547, 2196, 269, 634, 808, 16331, 541, 594, 6261, 864, 2443, 476, 10602, 12463, 10481, 543, 519, 10748, 328, 552, 6874, 1258, 22505, 3724, 2443, 476, 6507, 12463, 10481, 616, 930, 3167, 1286, 3631, 563, 25821, 6517, 798, 723, 513, 7008, 540, 11393, 602, 1058, 581, 6743, 693, 269, 1358, 723, 513, 10156, 2039, 982, 2757, 6517, 269, 589, 4628, 9901, 3167, 1286, 666, 5397, 585, 827, 476, 1911, 5195, 269, 30975, 538, 3478, 513, 12123, 6728, 15029, 593, 519, 4155, 568, 849, 513, 1966, 563, 763, 6521, 547, 3167, 6517, 814, 1044, 3366, 676, 23592, 267, 799, 568, 849, 7598, 2242, 547, 519, 1259, 6517, 616, 3812, 269, 1703, 779, 513, 17105, 7903, 2509, 21438, 2504, 267, 538, 1840, 547, 4824, 3761, 5832, 2359, 267, 20690, 2740, 676, 6325, 16669, 3761, 5832, 3549, 547, 1489, 519, 2872, 269, 634, 717, 27004, 15327, 616, 606, 1383, 540, 713, 538, 2962, 563, 8505, 26127, 6517, 616, 1582, 6117, 6517, 602, 2154, 1100, 1480, 6304, 269, 1924, 875, 4010, 798, 891, 6517, 960, 286, 1358, 7048, 593, 8596, 267, 27103, 2209, 267, 3684, 1565, 1949, 267, 543, 3532, 21932, 547, 14892, 3301, 563, 4322, 6517, 666, 7500, 607, 6517, 602, 991, 1480, 6304, 269, 589, 7008, 540, 1296, 3516, 267, 14628, 6517, 941, 1152, 2938, 538, 26427, 681, 3187, 543, 15506, 2006, 779, 14501, 267, 855, 1318, 1354, 938, 4064, 267, 891, 6517, 616, 4742, 513, 4641, 269, 901, 1007, 8798, 949, 581, 835, 540, 519, 3435, 547, 519, 9118, 10913, 12735, 5224, 938, 9897, 563, 310, 599, 15879, 267, 513, 2754, 602, 9388, 538, 1582, 28391, 6517, 267, 3091, 11878, 3620, 9430, 2533, 547, 519, 1857, 538, 930, 4872, 269, 1717, 267, 621, 949, 1491, 930, 942, 1354, 713, 568, 2944, 593, 513, 1804, 4336, 269, 32534, 6517, 267, 2705, 267, 723, 930, 11393, 269, 9603, 547, 519, 1249, 602, 789, 616, 1582, 12454, 267, 3833, 513, 1297, 540, 1004, 786, 581, 9788, 1055, 267, 2810, 519, 13864, 2557, 267, 799, 949, 2417, 1860, 519, 2804, 2208, 540, 2477, 563, 1103, 1840, 547, 713, 267, 971, 6517, 616, 12155, 547, 28892, 269, 1452, 6517, 1832, 3950, 540, 519, 8227, 779, 2123, 3877, 543, 949, 6961, 547, 581, 606, 2653, 1259, 585, 21190, 547, 2445, 2123, 1239, 563, 1607, 568, 513, 8360, 649, 5873, 513, 2603, 540, 538, 891, 2053, 269, 2060, 519, 1158, 32626, 513, 2101, 6855, 267, 1004, 616, 3168, 585, 2081, 547, 2569, 1480, 3346, 269, 4658, 786, 2864, 3251, 538, 741, 5321, 543, 1931, 1018, 789, 991, 676, 10478, 585, 621, 2228, 543, 1818, 513, 1906, 7125, 269, 634, 16669, 2872, 568, 711, 2451, 856, 563, 8505, 558, 9394, 2694, 666, 849, 581, 12349, 2228, 269, 589, 2603, 540, 1286, 1397, 7741, 723, 1185, 547, 2673, 1524, 1813, 547, 519, 4856, 7431, 309, 6400, 267, 2943, 1004, 616, 6029, 1719, 538, 11449, 6517, 269, 898, 1522, 1491, 930, 942, 1354, 2228, 10918, 3587, 519, 1931, 540, 519, 1554, 267, 855, 519, 7399, 616, 11995, 269, 898, 568, 1271, 547, 4063, 602, 513, 1297, 540, 1004, 723, 1044, 1219, 571, 24231, 998, 713, 1797, 540, 9140, 6517, 267, 865, 835, 1590, 581, 6297, 950, 9140, 610, 9513, 6517, 543, 22302, 2694, 2228, 563, 302, 342, 940, 513, 1286, 568, 513, 2462, 4308, 269, 1717, 267, 538, 2487, 2053, 267, 1004, 723, 1831, 811, 1930, 547, 1286, 4687, 269, 3487, 7781, 1286, 3631, 616, 538, 1164, 3747, 267, 2523, 1317, 891, 3631, 616, 3501, 585, 1286, 4687, 269, 772, 828, 13333, 538, 3592, 1169, 2197, 269, 1280, 10256, 543, 15915, 7567, 267, 1286, 4687, 814, 1831, 1360, 2500, 269, 2311, 519, 4945, 540, 513, 1906, 16181, 593, 707, 6049, 267, 596, 1205, 1569, 547, 513, 1286, 602, 3217, 596, 547, 707, 10278, 563, 2005, 17990, 942, 543, 6971, 2566, 269, 898, 568, 606, 4316, 547, 7118, 3063, 2724, 585, 1004, 2907, 2324, 269, 5455, 326, 24612, 2934, 1331, 11878, 6879, 2130, 267, 1141, 513, 3095, 666, 581, 2366, 547, 513, 3659, 610, 3448, 547, 3950, 519, 7552, 269, 634, 3483, 540, 713, 568, 547, 2061, 20737, 689, 2921, 5413, 540, 713, 547, 2800, 741, 15915, 538, 1022, 1259, 563, 28723, 30905, 26859, 7010, 630, 4696, 3008, 994, 4696, 3008, 1949, 616, 1949, 602, 4217, 10256, 267, 2523, 538, 6117, 543, 18736, 3252, 269, 1358, 2097, 538, 1585, 3029, 267, 689, 1949, 602, 948, 519, 9920, 4584, 519, 1655, 18736, 5544, 547, 1949, 602, 24633, 519, 9920, 540, 1761, 10913, 269, 2290, 540, 519, 6663, 267, 5310, 519, 1034, 1271, 2832, 568, 547, 2569, 1480, 5470, 563, 28723, 9920, 6351, 1949, 1331, 4464, 16580, 9963, 267, 4550, 2000, 1442, 26039, 267, 543, 26738, 22576, 9963, 269, 4014, 5084, 3008, 723, 6591, 930, 1377, 540, 8560, 267, 972, 568, 1869, 513, 1279, 1259, 547, 979, 269, 901, 568, 1317, 713, 2029, 568, 14427, 282, 8754, 621, 568, 711, 2139, 593, 513, 3677, 4336, 563, 21010, 539, 6517, 616, 6517, 602, 616, 2111, 547, 5968, 610, 2671, 1239, 609, 3457, 3544, 519, 1286, 269, 3245, 2029, 602, 666, 10332, 519, 9920, 540, 519, 14282, 4492, 6728, 950, 519, 1286, 568, 3592, 856, 540, 4492, 547, 2029, 602, 666, 1569, 519, 9920, 779, 11706, 547, 3313, 875, 1279, 621, 786, 1491, 519, 9920, 547, 1205, 547, 1010, 1985, 10278, 267, 4448, 6517, 616, 1934, 547, 1118, 1272, 4443, 269, 4045, 539, 6517, 267, 2705, 267, 666, 1831, 606, 28627, 585, 21190, 269, 634, 10963, 602, 666, 581, 8149, 950, 891, 6517, 616, 11360, 539, 616, 11995, 563, 9336, 2872, 1058, 581, 1930, 547, 2242, 543, 7835, 269, 634, 16669, 2872, 568, 513, 3810, 8013, 835, 282, 8754, 891, 6639, 10311, 616, 1883, 538, 19788, 1312, 5561, 543, 9520, 269, 2060, 875, 3728, 519, 1158, 568, 2469, 267, 606, 18914, 2754, 602, 568, 711, 1930, 547, 6639, 8441, 786, 6157, 581, 2451, 3297, 269, 11628, 1382, 568, 1869, 1373, 5342, 547, 1265, 2081, 540, 5355, 593, 2907, 4540, 4066, 269, 898, 6157, 4465, 1406, 2097, 607, 513, 9983, 952, 1296, 689, 1631, 267, 10760, 6517, 1831, 513, 4641, 2864, 982, 513, 14810, 269, 0, 1692, 2635, 568, 707, 1753, 888, 9336, 1753, 538, 3013, 2115, 513, 2635, 25810, 543, 610, 17875, 3149, 10628, 269, 4208, 798, 594, 2161, 713, 286, 3683, 476, 2004, 260, 540, 519, 2011, 596, 13236, 593, 519, 476, 272, 560, 6989, 540, 707, 1753, 2501, 689, 707, 25810, 610, 31770, 2230, 998, 513, 2067, 12136, 1572, 10518, 13716, 269, 1403, 707, 25810, 610, 31770, 2230, 568, 711, 2635, 267, 1287, 707, 1753, 568, 711, 2635, 269, 589, 6632, 1299, 14927, 25810, 610, 31770, 2230, 666, 1711, 606, 14432, 11255, 2713, 1604, 269, 4634, 513, 1507, 30997, 1900, 666, 1118, 513, 2101, 3017, 538, 2576, 779, 1753, 610, 960, 1747, 563, 303, 3326, 583, 1218, 666, 4283, 689, 2539, 2157, 563, 7197, 1004, 6108, 607, 1454, 607, 476, 1321, 3108, 513, 1554, 538, 741, 5321, 269, 4595, 519, 476, 3192, 271, 338, 267, 5321, 723, 1044, 3710, 5051, 2011, 31259, 547, 4688, 593, 3154, 543, 5201, 4227, 519, 2179, 540, 2011, 5385, 269, 5794, 9395, 630, 21328, 31478, 264, 5321, 723, 6537, 811, 3007, 547, 782, 540, 519, 14107, 513, 25810, 610, 31770, 2230, 814, 547, 2709, 998, 1018, 649, 1289, 968, 23637, 1198, 9731, 1805, 871, 1198, 568, 519, 3350, 540, 2011, 883, 543, 856, 540, 5656, 267, 16403, 7958, 543, 1166, 1132, 543, 568, 9141, 676, 513, 3017, 538, 11255, 547, 9205, 2011, 5860, 4611, 689, 2837, 543, 7509, 3604, 269, 10815, 10053, 3905, 2011, 14380, 543, 568, 8719, 676, 16437, 518, 267, 3579, 2011, 269, 634, 3152, 519, 8143, 3017, 543, 519, 4463, 540, 519, 2497, 267, 519, 3152, 519, 10518, 1198, 269, 634, 10518, 1198, 568, 849, 5219, 547, 607, 519, 968, 577, 574, 2284, 1198, 892, 543, 621, 2337, 5397, 2067, 14910, 538, 513, 2777, 269, 1924, 952, 519, 2011, 568, 14432, 538, 707, 25810, 543, 610, 17875, 3149, 10628, 267, 602, 1482, 1032, 568, 1034, 2693, 15449, 908, 519, 5580, 2157, 540, 707, 1753, 610, 9036, 563, 22137, 723, 3254, 602, 1004, 945, 19582, 14927, 5656, 616, 693, 606, 2799, 1981, 540, 1072, 2042, 563, 763, 20796, 17162, 31178, 10758, 294, 3198, 22003, 9569, 29706, 13993, 23360, 3633, 30316, 2839, 5085, 2562, 2464, 8989, 602, 31269, 540, 14927, 610, 9044, 344, 5656, 723, 909, 547, 513, 476, 4037, 260, 24321, 2969, 2207, 681, 3041, 298, 5508, 19419, 303, 7644, 2969, 12088, 20219, 6573, 15674, 5960, 269, 5525, 723, 849, 3964, 606, 7681, 1063, 11255, 14927, 1145, 609, 7929, 5563, 543, 23892, 519, 4761, 1062, 563, 291, 2086, 1145, 568, 513, 1966, 538, 5656, 1317, 621, 2488, 519, 7509, 602, 7028, 519, 2208, 540, 4551, 267, 13271, 630, 328, 4318, 1421, 9044, 1070, 543, 7786, 269, 634, 5442, 306, 2316, 307, 7473, 292, 5508, 32212, 2975, 12114, 1336, 6190, 2963, 547, 3095, 4598, 547, 14927, 11255, 5054, 538, 2489, 547, 5580, 7929, 8778, 2589, 267, 11522, 267, 543, 765, 324, 2763, 538, 6382, 2635, 1004, 543, 609, 10447, 2589, 538, 1004, 609, 10447, 563, 25567, 753, 22939, 5111, 476, 3445, 2600, 540, 741, 942, 16280, 269, 5525, 540, 1480, 4598, 547, 2011, 14107, 676, 16501, 5815, 602, 11255, 2157, 540, 14107, 949, 581, 476, 273, 547, 476, 276, 2053, 1107, 543, 12212, 811, 982, 476, 1911, 2053, 1107, 2362, 982, 9205, 12376, 656, 2157, 269, 1473, 3233, 2011, 14107, 723, 1044, 19486, 1851, 519, 1283, 2947, 2825, 4220, 547, 1857, 1072, 563, 18719, 557, 519, 2011, 2298, 538, 707, 1753, 676, 31925, 519, 1604, 538, 707, 25810, 610, 17875, 3149, 10628, 269, 11910, 721, 543, 513, 7874, 5741, 15440, 786, 3643, 596, 543, 1683, 596, 609, 1344, 543, 3435, 593, 875, 596, 666, 2087, 519, 1072, 540, 707, 1753, 269, 1677, 1451, 811, 267, 1289, 721, 2221, 693, 476, 279, 2764, 268, 4037, 280, 268, 4649, 273, 273, 563, 305, 617, 9652, 267, 519, 674, 10133, 543, 5518, 540, 12476, 618, 1299, 7101, 517, 10298, 267, 814, 1044, 538, 519, 4070, 2872, 585, 1034, 540, 1010, 1272, 563, 3891, 3459, 713, 2754, 609, 513, 2241, 5692, 281, 1677, 1683, 1169, 6075, 609, 513, 2647, 3099, 540, 1942, 15807, 3435, 543, 513, 1377, 540, 6075, 3028, 602, 568, 5667, 584, 10139, 539, 538, 519, 2872, 563, 305, 617, 543, 1010, 2319, 540, 8036, 4966, 1491, 11348, 538, 1818, 2386, 602, 741, 5561, 616, 476, 1911, 260, 13854, 609, 741, 3028, 267, 543, 11441, 547, 1683, 513, 1753, 9762, 847, 528, 1995, 602, 568, 2352, 547, 1265, 9170, 3116, 563, 7712, 476, 1220, 272, 267, 12476, 618, 1299, 7101, 517, 10298, 814, 1044, 5375, 3345, 10491, 779, 1034, 11967, 25810, 28890, 532, 267, 31770, 2230, 20206, 1637, 543, 5748, 7816, 543, 2234, 517, 17846, 4966, 269, 1284, 3180, 6000, 547, 513, 2362, 3044, 543, 938, 6075, 3028, 543, 960, 1397, 1175, 602, 269, 1280, 476, 1626, 266, 1296, 267, 12476, 618, 1299, 7101 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 330, 5979, 269, 18603, 281, 590, 752, 749, 926, 537, 269, 25306, 267, 674, 269, 808, 269, 476, 1960, 275, 269, 681, 699, 8172, 19291, 12722, 25306, 269, 2048, 763, 4644, 540, 519, 20281, 538, 1977, 1686, 685, 543, 824, 3594, 269, 2060, 16555, 676, 3627, 27963, 10787, 698, 615, 269, 1715, 670, 13273, 281, 23171, 2160, 4964, 563, 310, 864, 267, 589, 269, 808, 269, 645, 269, 543, 16399, 267, 631, 269, 590, 269, 476, 4489, 273, 269, 2776, 18856, 634, 1087, 3315, 269, 11062, 281, 11062, 2160, 4964, 269, 1284, 514, 6199, 267, 590, 269, 590, 269, 476, 3422, 276, 269, 634, 12942, 6520, 538, 519, 32363, 613, 534, 269, 11062, 281, 11062, 2160, 4964, 269, 2098, 557, 30503, 559, 267, 631, 269, 476, 1960, 277, 269, 26478, 938, 11937, 543, 519, 3961, 540, 2342, 269, 769, 623, 269, 3400, 1407, 5174, 3497, 267, 590, 269, 13643, 543, 595, 269, 31133, 1076, 630, 2644, 1070, 8836, 3961, 543, 22884, 267, 476, 13970, 1700, 5780, 269, 5507, 281, 30296, 269, 2098, 557, 30503, 559, 267, 631, 269, 476, 1960, 279, 269, 1548, 779, 538, 513, 2012, 281, 519, 12379, 18070, 267, 519, 32665, 267, 543, 1514, 1689, 693, 519, 12379, 18070, 9539, 324, 18070, 5912, 269, 769, 631, 269, 3798, 24325, 543, 595, 269, 27672, 630, 2644, 1070, 4197, 519, 32665, 540, 5087, 2914, 3480, 2342, 267, 476, 272, 1700, 476, 3374, 269, 29161, 281, 14265, 603, 928, 4964, 269, 0, 1103, 5130, 476, 13923, 272, 267, 519, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 1261, 729, 1287, 2040, 3000, 539, 547, 2408, 693, 519, 10791, 540, 654, 768, 338, 267, 606, 10198, 540, 519, 10513, 4936, 7276, 269, 1261, 15189, 547, 973, 656, 543, 14890, 8176, 966, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 269, 13162, 4682, 883, 15720, 693, 654, 691, 7921, 16836, 563, 1692, 1705, 519, 4936, 7826, 5783, 4431, 1310, 13162, 15189, 547, 973, 656, 1010, 5784, 888, 1103, 4873, 476, 13923, 271, 15352, 24955, 2473, 28715, 476, 6078, 540, 13162, 779, 715, 27197, 19317, 634, 4513, 267, 855, 646, 849, 5795, 13162, 942, 547, 973, 656, 269, 769, 3210, 267, 13162, 15597, 14616, 519, 13099, 531, 13032, 543, 15189, 547, 15646, 8784, 1010, 3981, 1431, 269, 1261, 729, 608, 10919, 5344, 689, 519, 4936, 7826, 5783, 593, 5130, 476, 274, 267, 476, 13923, 272, 563, 1432, 5949, 950, 13162, 15189, 547, 15646, 8784, 1010, 2093, 888, 1103, 5130, 476, 13923, 272, 267, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 8422, 3275, 2663, 267, 13162, 729, 1572, 547, 9718, 1010, 4978, 1354, 10513, 4936, 14890, 8176, 966, 693, 519, 10791, 540, 654, 768, 338, 267, 1141, 646, 729, 28020, 1219, 5050, 269, 1280, 1010, 30671, 547, 973, 656, 1010, 12591, 267, 519, 17169, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 563, 3963, 1705, 13162, 20549, 547, 973, 656, 693, 519, 10791, 540, 654, 768, 338, 888, 32354, 13162, 729, 2040, 3000, 539, 547, 519, 10791, 538, 1931, 547, 15646, 8784, 610, 556, 3530, 3305, 1010, 5784, 538, 3210, 547, 513, 14466, 531, 13032, 540, 15352, 24955, 2473, 269, 769, 2626, 547, 15819, 267, 646, 29846, 891, 5784, 543, 15189, 547, 973, 656, 873, 563, 1432, 5949, 950, 9410, 13162, 6836, 547, 6963, 519, 7826, 5783, 888, 32354, 13162, 13934, 519, 7826, 5783, 676, 6031, 602, 519, 28831, 1223, 711, 6430, 952, 2576, 1223, 979, 547, 13140, 610, 711, 269, 1261, 13934, 519, 28831, 779, 6392, 543, 713, 1291, 547, 519, 5137, 540, 1007, 13039, 538, 5375, 2342, 269, 2560, 1323, 18656, 10885, 4389, 519, 15163, 540, 519, 13039, 10751, 585, 513, 5609, 563, 1432, 1705, 9410, 13162, 798, 1310, 1373, 608, 10919, 5344, 888, 1103, 5130, 476, 13923, 272, 267, 519, 15352, 24955, 2473, 608, 10919, 5344, 13162, 269, 1261, 729, 1287, 2040, 3000, 539, 547, 2408, 693, 519, 10791, 540, 654, 768, 338, 267, 606, 10198, 540, 519, 10513, 4936, 7276, 269, 1261, 15189, 547, 973, 656, 543, 14890, 8176, 966, 10294, 1864, 606, 7979, 1177, 543, 513, 1934, 6776, 269, 2560, 13162, 5747, 593, 476, 1240, 5988, 476, 15150, 277, 538, 661, 529, 548, 17754, 563, 3674, 9410, 13162, 1869, 608, 10919, 5344, 888, 299, 9801, 5747, 538, 476, 15150, 277, 609, 15352, 24955, 2473, 779, 608, 23890, 1869, 538, 1198, 563, 25238, 1221, 1475, 1240, 5988, 476, 15150, 277, 630, 3042, 476, 7830, 264, 661, 529, 548, 17754, 267, 6019, 540, 32617, 26709, 267, 10513, 4936, 7276, 2008, 347, 19733, 1475, 17206, 540, 8210, 31060, 2008, 9989, 13162, 973, 656, 538, 17494, 950, 18796, 547, 888, 32354, 13162, 267, 519, 8783, 18463, 540, 17557, 1143, 267, 1219, 625, 519, 10513, 4936, 14890, 8176, 966, 676, 32222, 547, 973, 656, 1010, 12591, 269, 1261, 1185, 1044, 1572, 547, 654, 768, 338, 267, 5125, 267, 547, 2408, 1354, 519, 10791, 630, 553, 12273, 264, 540, 519, 10513, 4936, 7276, 543, 2626, 10997, 540, 646, 637, 344, 563, 8005, 6870, 9410, 13162, 1310, 519, 10791, 540, 654, 768, 338, 888, 4263, 513, 2629, 1974, 585, 519, 2038, 26746, 267, 19291, 6870, 13162, 689, 519, 15352, 543, 519, 17169, 267, 543, 3576, 1864, 883, 26692, 693, 519, 654, 691, 7921, 14500, 1310, 519, 10791, 540, 654, 768, 338, 630, 13923, 272, 1070, 799, 2322, 13162, 896, 519, 11440, 7333, 563, 3963, 1705, 519, 28831, 2322, 513, 29667, 344, 593, 13162, 779, 2212, 888, 3891, 849, 20402, 519, 5939, 779, 7333, 1996, 9310, 20577, 269, 4329, 267, 13162, 5156, 602, 519, 5783, 5116, 2484, 1932, 1454, 2956, 593, 10847, 532, 6307, 267, 519, 3993, 540, 4906, 269, 2560, 13162, 729, 16363, 513, 1934, 6776, 267, 608, 10919, 5344, 689, 519, 5783, 267, 543, 513, 29667, 344, 729, 5116, 593, 1010, 2212, 563, 3674, 13162, 1318, 547, 13889, 1996, 519, 5939, 4208, 888, 299, 9801, 5156, 18656, 326, 1878, 547, 581, 30898, 10041, 1317, 267, 646, 10645, 267, 20778, 3357, 676, 11419, 998, 5132, 630, 3891, 3691, 9749, 476, 1015, 281, 4343, 1070, 711, 676, 513, 13099, 531, 605, 17474, 610, 18656, 10885, 269, 13162, 1486, 6479, 519, 9042, 540, 18656, 326, 1878, 676, 562, 9430, 1010, 968, 4817, 634, 4513, 892, 1996, 741, 3892, 547, 519, 7450, 540, 31864, 1084, 7921, 16836, 5783, 593, 5239, 476, 4029, 267, 476, 14681, 278, 563, 1432, 5949, 547, 13162, 593, 1010, 1259, 1394, 547, 31864, 1084, 6199, 888, 19602, 267, 593, 1010, 3460, 1394, 547, 31864, 1084, 6199, 267, 13162, 729, 968, 330, 573, 333, 11474, 892, 676, 7980, 540, 19291, 543, 3144, 31205, 547, 654, 691, 7921, 16836, 267, 2282, 519, 4884, 540, 29276, 778, 267, 1141, 646, 7283, 538, 15720, 585, 519, 1732, 851, 540, 513, 1032, 269, 2560, 13162, 779, 8144, 25340, 4299, 519, 1646, 540, 519, 2854, 4436, 1893, 563, 1432, 1705, 13162, 711, 899, 827, 519, 7826, 5783, 888, 299, 9801, 1185, 513, 1966, 609, 519, 1249, 519, 7826, 5783, 540, 1010, 1554, 729, 9247, 9513, 18656, 326, 1878, 2443, 8197, 267, 2687, 547, 7905, 5839, 290, 1638, 5255, 267, 789, 5280, 2628, 585, 519, 31811, 540, 12142, 8834, 779, 29092, 3821, 538, 7507, 269, 13536, 267, 13162, 5526, 547, 723, 12628, 1010, 3661, 538, 623, 4026, 2218, 15587, 563, 1432, 1705, 13162, 779, 476, 4817, 634, 4513, 2161, 888, 7804, 9410, 13162, 1031, 891, 634, 4513, 547, 4159, 1010, 21379, 1952, 1465, 609, 519, 5783, 779, 9042, 540, 18656, 326, 1878, 267, 543, 713, 5555, 5795, 4332, 547, 17557, 1143, 269, 898, 2523, 1219, 1221, 519, 10752, 540, 519, 5783, 593, 519, 2470, 540, 4050, 766, 267, 519, 6392, 543, 1379, 540, 519, 28831, 543, 519, 12117, 540, 18656, 326, 1878, 563, 12441, 9410, 13162, 1689, 519, 6426, 888, 299, 9801, 779, 8144, 540, 519, 6426, 1500, 519, 1257, 3015, 547, 519, 8723, 4436, 585, 519, 1101, 942, 267, 543, 5280, 3337, 519, 13439, 1417, 26746, 269, 2060, 922, 11495, 10409, 2511, 267, 621, 849, 5280, 1106, 519, 4436, 1893, 267, 796, 4328, 6237, 22463, 543, 4543, 519, 16586, 1020, 513, 6793, 3084, 3961, 563, 3963, 1705, 9410, 13162, 2736, 2476, 689, 30871, 888, 2005, 729, 519, 1032, 476, 14681, 278, 950, 519, 4436, 31494, 9410, 13162, 8930, 2740, 1010, 476, 4817, 634, 4513, 547, 519, 7450, 540, 1010, 7826, 5939, 267, 3954, 23395, 519, 7826, 9042, 540, 18656, 326, 1878, 2443, 533, 731, 976, 585, 21359, 2443, 543, 15819, 13099, 531, 6392, 269, 2334, 3366, 547, 1010, 608, 23890, 543, 519, 1376, 540, 519, 17557, 26746, 269, 0, 763, 8484, 729, 606, 27549, 7077, 543, 621, 729, 24317, 519, 1895, 540, 8695, 856, 540, 4789, 269, 7083, 540, 519, 4469, 625, 7179, 1196, 269, 1358, 1287, 25176, 267, 1631, 18468, 519, 28458, 568, 5963, 1483, 269, 634, 1101, 6252, 568, 519, 16726, 1063, 519, 12567, 540, 3798, 523, 543, 519, 6816, 538, 7083, 540, 519, 4469, 625, 269, 634, 32538, 568, 2241, 267, 519, 4555, 2095, 12347, 267, 543, 519, 30181, 1689, 3533, 1510, 1454, 4674, 563, 763, 4829, 602, 9428, 593, 519, 6532, 3884, 1405, 17580, 267, 543, 789, 3548, 5388, 543, 3165, 269, 1261, 568, 7166, 693, 519, 1439, 540, 519, 1433, 676, 23011, 945, 5107, 513, 6149, 593, 1283, 540, 1864, 269, 634, 2504, 729, 547, 581, 9859, 676, 519, 3203, 2065, 10615, 945, 4465, 519, 476, 1001, 275, 7454, 7591, 4860, 2526, 585, 269, 7108, 532, 814, 27333, 1767, 602, 646, 5206, 519, 3209, 538, 3210, 547, 1010, 2123, 2112, 2833, 269, 9941, 569, 267, 11303, 676, 513, 535, 16206, 540, 22679, 529, 1438, 6505, 7068, 267, 3294, 513, 8988, 3337, 9944, 519, 32344, 20035, 725, 267, 17363, 781, 4666, 1560, 6410, 856, 2509, 519, 1930, 4262, 563, 306, 15120, 22828, 19811, 267, 519, 2278, 540, 519, 2073, 15109, 7083, 540, 519, 4469, 625, 547, 581, 513, 3119, 3310, 585, 1200, 960, 269, 898, 729, 3254, 676, 519, 5920, 602, 519, 6532, 729, 4843, 607, 4190, 607, 519, 4677, 540, 3798, 523, 269, 4746, 267, 594, 786, 581, 7234, 11488, 6835, 547, 2009, 11324, 340, 619, 269, 4256, 2085, 2039, 689, 2185, 547, 3670, 269, 634, 6668, 540, 519, 3514, 11687, 15859, 568, 1945, 602, 1169, 13442, 593, 713, 4541, 814, 269, 2368, 540, 519, 2261, 3019, 539, 3197, 616, 8723, 1053, 267, 1247, 1866, 12446, 607, 513, 7574, 1781, 597, 896, 606, 3964, 6205, 269, 28522, 4445, 543, 1010, 14296, 3090, 1242, 2507, 476, 280, 5952, 9293, 476, 275, 9664, 4062, 540, 3332, 972, 568, 2141, 835, 1915, 602, 6763, 856, 547, 803, 563, 31568, 6238, 1010, 1378, 14316, 540, 21962, 269, 5808, 1197, 1185, 519, 598, 577, 1223, 581, 519, 1152, 835, 6158, 269, 769, 519, 1650, 519, 1915, 25453, 568, 519, 16502, 945, 4564, 3540, 1242, 267, 5718, 267, 543, 1931, 269, 4634, 1498, 972, 616, 1434, 1004, 538, 713, 1158, 267, 972, 786, 2141, 581, 9409, 269, 10793, 729, 513, 4535, 6205, 543, 950, 646, 729, 711, 11221, 6205, 540, 519, 8695, 593, 519, 6532, 646, 5612, 8179, 2081, 547, 2744, 1379, 269, 634, 4829, 602, 9428, 593, 519, 6532, 3884, 1405, 17580, 267, 543, 789, 3548, 5388, 543, 3165, 563, 2026, 513, 1267, 540, 10793, 781, 5260, 720, 5718, 267, 17363, 543, 28522, 4445, 616, 7166, 676, 519, 21962, 269, 634, 8695, 13604, 2972, 741, 1101, 21649, 269, 5808, 781, 2469, 547, 6445, 856, 519, 27834, 8298, 585, 1142, 3896, 596, 3643, 286, 634, 1433, 3217, 1747, 538, 519, 22984, 540, 606, 5667, 29347, 1881, 2112, 269, 1703, 616, 1152, 1079, 8695, 945, 9090, 1705, 711, 7639, 282, 28522, 4445, 945, 729, 7166, 607, 513, 1463, 1267, 540, 1373, 5734, 676, 513, 536, 30629, 543, 17363, 945, 729, 29041, 547, 2669, 269, 3371, 616, 930, 2055, 547, 1589, 827, 950, 2324, 593, 707, 6816, 5980, 5517, 16847, 563, 4322, 616, 2141, 2922, 547, 3548, 269, 13536, 593, 267, 1247, 10793, 5170, 547, 10325, 1996, 25453, 267, 519, 21054, 6341, 543, 18238, 267, 1631, 8655, 547, 519, 5826, 540, 519, 5365, 3595, 267, 1294, 519, 1351, 335, 572, 540, 519, 25142, 12681, 543, 1010, 1612, 778, 1393, 538, 519, 4158, 269, 1703, 616, 849, 513, 19619, 540, 6668, 4388, 593, 891, 4609, 267, 952, 596, 1413, 585, 873, 269, 1703, 1185, 6738, 909, 512, 659, 527, 569, 1851, 519, 2462, 12584, 519, 6644, 602, 28522, 4445, 729, 606, 16080, 3187, 267, 711, 1152, 676, 20020, 267, 799, 1705, 711, 2339, 267, 855, 676, 3170, 267, 543, 1028 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 2934, 267, 899, 15603, 596, 917, 952, 596, 1500, 513, 12161, 1354, 596, 1256, 2196, 707, 1982, 269, 901, 1259, 267, 596, 666, 4368, 2042, 2038, 593, 543, 1439, 909, 609, 513, 25509, 267, 2324, 4062, 540, 3301, 780, 3086, 267, 1577, 781, 4685, 883, 930, 25727, 269, 2290, 1883, 4183, 540, 7392, 29441, 568, 922, 946, 540, 1239, 2010, 543, 4632, 269, 589, 1239, 1826, 6645, 519, 2780, 1018, 2186, 540, 1344, 513, 1978, 4062, 540, 1239, 4564, 1107, 585, 1383, 267, 2436, 621, 781, 513, 1297, 267, 513, 2262, 267, 610, 513, 4015, 540, 824, 2418, 269, 25159, 267, 593, 519, 824, 1688, 267, 616, 899, 11149, 585, 13936, 1239, 269, 1635, 26471, 513, 1871, 630, 663, 922, 7222, 1239, 1826, 264, 547, 513, 4756, 267, 596, 666, 3362, 19074, 543, 13861, 602, 1239, 2429, 707, 1982, 780, 2080, 781, 513, 2656, 1383, 547, 9414, 713, 1523, 912, 3499, 322, 3333, 17369, 454, 2280, 1250, 21848, 281, 1297, 815, 476, 1321, 282, 12262, 1412, 3240, 21848, 262, 568, 513, 4756, 8066, 513, 1297, 1826, 1871, 454, 2280, 28551, 281, 5569, 815, 2387, 15916, 267, 594, 993, 20270, 3240, 21848, 348, 1296, 2025, 256, 319, 282, 12262, 1412, 26572, 7566, 262, 568, 513, 4756, 8066, 513, 5569, 1826, 1871, 454, 935, 18030, 28802, 14116, 516, 7566, 5148, 12262, 20743, 1412, 15916, 267, 594, 993, 476, 1321, 1296, 2025, 256, 262, 547, 519, 23641, 454, 8199, 5194, 1271, 2460, 540, 7392, 29441, 568, 922, 1489, 585, 1843, 15129, 5752, 998, 5049, 543, 3615, 269, 26643, 957, 607, 23039, 29251, 585, 2870, 2147, 3615, 267, 1142, 5627, 2189, 3601, 543, 2409, 269, 6056, 540, 873, 899, 23739, 2759, 1562, 1107, 1175, 607, 596, 666, 946, 513, 2582, 23739, 2759, 614, 547, 1711, 2789, 12897, 609, 519, 1482, 3337, 267, 596, 666, 946, 513, 1362, 547, 5352, 1082, 3615, 602, 2671, 1455, 4162, 780, 4131, 781, 2015, 513, 1483, 8996, 1383, 281, 513, 17919, 269, 2311, 922, 4295, 267, 513, 11332, 814, 14743, 267, 513, 7406, 267, 543, 513, 5832, 269, 1809, 972, 616, 9118, 7648, 540, 21891, 856, 972, 1107, 7823, 21891, 267, 4155, 21891, 267, 3214, 262, 21891, 267, 3092, 269, 1677, 2099, 713, 2856, 538, 7392, 29441, 267, 649, 1223, 5581, 513, 645, 5390, 2193, 1362, 609, 3838, 3601, 267, 1287, 8831, 602, 3490, 1362, 547, 1711, 7463, 1016, 5035, 525, 585, 1114, 5686, 540, 21891, 780, 12648, 513, 1413, 693, 713, 16866, 1383, 912, 3499, 18196, 5296, 454, 5035, 645, 5390, 2193, 13634, 476, 1003, 12640, 1564, 281, 1297, 3248, 476, 2681, 281, 5569, 16963, 476, 4020, 528, 16325, 12640, 1564, 281, 1297, 267, 2681, 281, 5569, 264, 13634, 825, 713, 8542, 636, 12640, 1564, 815, 1003, 12640, 1564, 3248, 825, 713, 269, 10233, 815, 2681, 3248, 476, 7684, 692, 476, 11878, 263, 2567, 20704, 13634, 825, 23641, 28802, 2891, 305, 4575, 29389, 11850, 476, 7684, 454, 10926, 2260, 8073, 513, 1007, 13738, 289, 833, 1362, 602, 11498, 519, 645, 5390, 2193, 1362, 454, 5035, 13738, 289, 833, 11498, 645, 5390, 2193, 13634, 476, 20022, 281, 1630, 18978, 16963, 476, 4020, 528, 16325, 12640, 1564, 281, 1297, 267, 2681, 281, 5569, 267, 20022, 281, 1630, 18978, 264, 13634, 825, 2706, 16325, 12640, 1564, 267, 2681, 11850, 825, 713, 4732, 22273, 3290, 815, 20022, 3248, 476, 7684, 692, 476, 7914, 263, 2567, 20704, 13634, 825, 23641, 28802, 2891, 297, 18804, 29389, 11850, 476, 7684, 454, 10926, 6247, 1250, 300, 20667, 289, 833, 815, 1007, 13738, 289, 833, 263, 274, 267, 834, 1042, 2580, 3020, 11850, 3240, 300, 20667, 289, 833, 269, 20183, 3890, 282, 12262, 17016, 1412, 305, 4575, 1862, 7055, 3240, 300, 20667, 289, 833, 12459, 2794, 3890, 282, 12262, 17016, 1412, 297, 18804, 1862, 7055, 8199, 2026, 596, 3356, 998, 713, 1576, 1770, 267, 596, 3513, 7237, 3606, 7392, 29441, 2934, 971, 607, 3252, 267, 4359, 1239, 2010, 267, 13838, 267, 7718, 2209, 267, 543, 3575, 1231, 269, 3962, 835, 786, 3142, 596, 835, 1900, 6251, 547, 13215, 519, 1148, 540, 8193, 543, 30196, 11995, 7399, 585, 5876, 543, 5647, 269, 8414, 1565, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 9596, 2029, 609, 513, 4810, 3318, 945, 723, 6791, 538, 741, 1880, 2029, 563, 2171, 616, 3246, 2866, 1759, 593, 4052, 20218, 1935, 799, 6663, 547, 2312, 782, 22027, 676, 4758, 811, 2259, 1247, 1565, 454, 2171, 616, 3246, 2816, 20218, 1576, 2866, 799, 6212, 593, 519, 1702, 543, 1983, 2838, 585, 519, 2816, 563, 2171, 3494, 602, 3025, 1058, 1205, 519, 4316, 547, 1451, 741, 5551, 1576, 269, 1924, 649, 1683, 8112, 4626, 902, 563, 1103, 2661, 1788, 547, 19612, 1018, 267, 1946, 543, 875, 540, 1022, 3498, 1628, 538, 602, 2029, 563, 2171, 2709, 10715, 1569, 547, 938, 1565, 1062, 799, 1118, 27466, 525, 547, 2744, 782, 519, 1702, 543, 1983, 2838, 585, 519, 2816, 563, 7072, 547, 7392, 29441, 454, 1432, 568, 7392, 29441, 888, 3963, 946, 7392, 29441, 888, 30787, 909, 519, 1646, 1604, 454, 13911, 29441, 1239, 2010, 543, 4632, 454, 13911, 29441, 5678, 17972, 454, 13911, 29441, 5049, 543, 3615, 454, 293, 17313, 538, 7392, 29441, 454, 28723, 7392, 29441, 17972, 454, 13911, 29441, 13838, 543, 4408, 335, 2167, 454, 13356, 528, 2209, 538, 7392, 29441, 454, 300, 1460, 1231, 538, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 7647, 8765, 4260, 11594, 910, 4197, 519, 2622, 540, 3203, 3778, 692, 8893, 476, 272, 281, 1548, 781, 513, 7647, 8765, 4750, 2496, 5331, 596, 723, 4362, 513, 14951, 7708, 557, 4904, 609, 2984, 827, 1148, 1686, 256, 901, 568, 1018, 5640, 1745, 899, 950, 789, 2097, 2066, 1945, 1572, 513, 834, 338, 3273, 8765, 4760, 1701, 1452, 5749, 1405, 707, 2834, 17476, 610, 21075, 9789, 344, 616, 2027, 10070, 540, 2854, 1568, 1141, 4966, 2671, 741, 5767, 8906, 267, 4030, 267, 543, 4555, 593, 1808, 3584, 269, 4653, 267, 649, 786, 1451, 827, 835, 971, 14046, 4760, 602, 6212, 593, 3140, 16493, 780, 4131, 781, 1491, 513, 32708, 3330, 713, 4241, 1158, 2439, 14945, 8893, 476, 273, 281, 28038, 2608, 3412, 2745, 24682, 2659, 19835, 3118, 547, 3203, 3778, 692, 763, 4760, 649, 786, 2263, 1927, 568, 1572, 2608, 3412, 2745, 29688, 898, 568, 3370, 7466, 513, 1032, 543, 814, 1044, 1472, 2094, 476, 3192, 277, 256, 2334, 1797, 972, 616, 1082, 4277, 2984, 7996, 547, 581, 20114, 269, 2368, 1004, 1522, 1589, 1565, 827, 1148, 1686, 1223, 581, 19309, 267, 855, 3972, 803, 267, 621, 666, 2965, 581, 3833, 10578, 2899, 596, 1376, 2542, 891, 1483, 3734, 19792, 8941, 780, 265, 3412, 2745, 265, 3568, 4930, 543, 1433, 8039, 827, 1585, 3344, 540, 1820, 10655, 538, 3013, 269, 1411, 949, 4898, 267, 834, 1432, 1281, 1412, 7290, 5566, 1820, 10655, 262, 1256, 1611, 8119, 4270, 267, 4952, 2348, 513, 4015, 540, 2025, 19297, 267, 22099, 267, 610, 5961, 2813, 676, 5159, 945, 5030, 7366, 540, 1296, 3516, 269, 4658, 1353, 873, 547, 1174, 875, 1272, 729, 1394, 1287, 267, 1175, 899, 24085, 2007, 909, 3504, 21219, 780, 14945, 8893, 476, 274, 281, 20821, 3776, 20929, 1107, 20226, 19992, 519, 2480, 25333, 692, 6524, 11362, 883, 519, 3817, 540, 2608, 3412, 2745, 24682, 1577, 781, 2743, 930, 1271, 1004, 945, 5280, 1711, 713, 5863, 4199, 269, 5565, 8037, 2043, 616, 15516, 269, 11908, 4446, 333, 24824, 543, 11427, 269, 22123, 623, 15127, 269, 1358, 6170, 9118, 3108, 2469, 998, 2250, 2152, 267, 11018, 1344, 267, 543, 12180, 3388, 865, 621, 1131, 581, 4443, 585, 721, 547, 1224, 543, 2972, 269, 1284, 28297, 873, 513, 2462, 9684, 596, 2439, 14945, 8893, 476, 275, 281, 19484, 3414, 5384, 1107, 3245, 476, 3192, 277, 547, 10558, 4303, 692, 3086, 602, 649, 917, 811, 827, 938, 3391, 9248, 30916, 3412, 21646, 265, 1070, 1577, 781, 979, 593, 513, 3460, 256, 8625, 267, 649, 786, 2951, 689, 476, 3192, 277, 2394, 2221, 267, 3695, 1114, 5756, 607, 952, 789, 941, 13515, 2059, 938, 8905, 269, 2311, 1142, 3247, 267, 649, 3513, 1265, 4277, 2984, 827, 1585, 5159, 267, 2553, 1031, 547, 1711, 4190, 16493, 267, 543, 1454, 811, 269, 1924, 10544, 707, 14165, 673, 9290, 13826, 543, 1205, 4712, 585, 513, 1187, 7045, 2439, 14945, 8893, 476, 276, 281, 15531, 2859, 12267, 1107, 15332, 2608, 3412, 2745, 22177, 12441, 596, 917, 602, 7172, 12579, 543, 3173, 946, 824, 2645, 547, 948, 873, 1265, 1256, 811, 2984, 1644, 547, 2608, 3412, 2745, 265, 286, 2290, 971, 1907, 568, 1572, 681, 15660, 11482, 6993, 1421, 799, 6763, 585, 4139, 1234, 13630, 800, 540, 519, 9085, 540, 3203, 269, 5994, 621, 607, 513, 9649, 5399, 17048, 4481, 2966, 585, 1148, 1686, 18798, 269, 1703, 616, 2147, 2200, 1572, 31639, 540, 519, 3778, 540, 3203, 267, 8466, 17593, 338, 267, 543, 1977, 281, 3778, 543, 5020, 1932, 269, 2060, 891, 2645, 267, 649, 666, 3136, 20857, 4514, 883, 519, 9159, 7706, 540, 1148, 1686, 780, 14945, 1103, 3932, 267, 18167, 883, 14046, 13746, 899, 2608, 3412, 2745, 265, 10741, 9885, 547, 11995, 7399, 585, 3408, 269, 1635, 1620, 875, 4966, 5968, 741, 4681, 543, 4687, 1702, 267, 649, 1831, 1732, 9280, 547, 5660, 519, 10848, 543, 5898, 540, 5396, 899, 1148, 1686, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 2985, 8638, 782, 4930, 543, 1433, 8039, 3370, 538, 1955, 2745, 267, 519, 14046, 4760, 540, 519, 1977, 8466, 7179, 11814, 832, 5980, 269, 1955, 2745, 814, 1044, 3370, 7466, 21496, 2094, 476, 3192, 277, 269, 589, 1641, 4994, 267, 2278, 4994, 267, 543, 1433, 2689, 15853, 616, 849, 2139, 563, 20684, 13366, 585, 519, 1296, 476, 3192, 277, 268, 1220, 271, 941, 16432, 676, 11908, 4446, 333, 24824, 543, 1101, 7902, 538, 9102, 1106, 538, 519, 4201, 4379, 476, 1220, 271, 3390, 540, 1955, 2745, 282, 519, 1433, 2689, 13366, 941, 16432, 676, 22123, 623, 15127, 543, 1101, 7902, 538, 519, 11354, 476, 1708, 271, 3390, 269, 8074, 281, 21107, 6085, 2456, 543, 11889, 1543, 616, 711, 3769, 538, 713, 1592, 563, 9209, 2873, 616, 849, 7493, 539, 543, 4994, 539, 538, 681, 15660, 11482, 6993, 269, 630, 17220, 1234, 13630, 800, 540, 519, 9085, 540, 3203, 264, 998, 476, 1960, 271, 267, 543, 689, 476, 1960, 271, 268, 1220, 278, 538, 31639, 540, 519, 3778, 540, 3203, 543, 8466, 17593, 338, 543, 5924, 1977, 281, 3778, 543, 5020, 269, 634, 8545, 1079, 12240, 616, 849, 3406, 762, 2228, 3842, 661, 7034, 4596, 10676, 563, 3192, 271, 338, 630, 309, 11169, 269, 476, 272, 268, 275, 264, 1955, 2745, 15080, 454, 14157, 269, 476, 272, 267, 1100, 269, 476, 272, 630, 21938, 476, 3192, 277, 994, 272, 269, 661, 6202, 700, 269, 1715, 2006, 267, 968, 6781, 601, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 19884, 9866, 3569, 538, 16723, 10495, 692, 8702, 267, 5664, 3427, 4841, 2439, 5970, 596, 2479, 9289, 875, 16895, 4137, 856, 1018, 781, 2469, 593, 3330, 2576, 781, 2247, 286, 2290, 1259, 789, 798, 713, 568, 998, 1945, 1572, 4879, 267, 4152, 267, 543, 6482, 269, 901, 16681, 2165, 1797, 1210, 1114, 2645, 267, 899, 26830, 267, 11042, 267, 543, 7422, 267, 547, 1174, 1004, 1732, 269, 4653, 267, 649, 2811, 2469, 547, 1445, 593 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 274, 268, 23283, 280, 269, 476, 273, 269, 590, 2931, 267, 918, 269, 645, 269, 630, 2735, 280, 1040, 19331, 731, 513, 19618, 3069, 540, 1362, 267, 5198, 267, 543, 4008, 269, 1977, 6599, 333, 6048, 267, 476, 1626, 263, 274, 1070, 476, 276, 4097, 268, 20862, 269, 630, 10059, 2517, 4178, 12459, 560, 528, 3820, 23995, 762, 270, 277, 3393, 24129, 264, 476, 274, 269, 5153, 534, 267, 715, 269, 700, 269, 630, 2735, 277, 1040, 17813, 543, 4008, 281, 634, 1909, 540, 21658, 538, 2257, 269, 1772, 529, 267, 476, 6507, 263, 273, 1070, 476, 28360, 268, 28071, 269, 630, 10059, 2517, 4178, 12459, 712, 11594, 269, 1276, 8522, 12975, 270, 8742, 270, 11274, 270, 1015, 269, 10482, 277, 270, 30500, 9873, 264, 476, 275, 269, 32544, 267, 700, 269, 630, 1960, 279, 1040, 589, 12497, 5943, 585, 1620, 5198, 267, 1362, 267, 4008, 267, 543, 14920, 269, 10017, 540, 6468, 22588, 569, 267, 476, 2420, 263, 272, 1070, 476, 1724, 268, 3953, 269, 630, 10059, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 9340, 272, 10768, 269, 15704, 272, 268, 25953, 273, 269, 1960, 279, 6745, 321, 9826, 4375, 11859, 264, 476, 276, 269, 22413, 1069, 2714, 267, 631, 269, 700, 269, 630, 1960, 279, 1040, 17813, 543, 4008, 10291, 538, 1970, 2987, 4146, 12836, 269, 11572, 3194, 22588, 569, 267, 476, 7906, 263, 275, 1070, 476, 279, 4817, 268, 280, 1240, 269, 630, 10059, 2517, 30394, 11594, 4732, 720, 335, 889, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 14056, 278, 270, 11793, 6795, 272, 26482, 3199, 276, 1911, 29889, 286, 329, 16067, 24927, 284, 1440, 336, 321, 264, 476, 277, 269, 2398, 16201, 267, 674, 1421, 918, 25403, 3405, 657, 267, 808, 269, 667, 1421, 1299, 670, 1122, 691, 344, 267, 623, 269, 630, 1220, 278, 1040, 1879, 5198, 543, 4008, 979, 1510, 6031, 269, 4317, 595, 10744, 267, 476, 1839, 263, 273, 1070, 476, 21854, 268, 26316, 269, 630, 10059, 2517, 7666, 559, 5112, 30394, 11594, 2593, 270, 8742, 270, 11274, 270, 1015, 269, 13923, 272, 4882, 27494, 269, 1220, 278, 269, 1839, 269, 273, 269, 21854, 264, 476, 278, 269, 674, 529, 651, 267, 808, 1421, 1299, 670, 4545, 1442, 267, 645, 269, 670, 269, 630, 1001, 277, 1040, 9012, 6927, 281, 17813, 1299, 4008, 538, 2475, 6214, 269, 30296, 269, 630, 10059, 2517, 4178, 6745, 11336, 325, 3757, 30241, 2593, 270, 9248, 270, 3000, 334, 270, 1015, 269, 28242, 275, 270, 7818, 14530, 6872, 272, 3607, 272, 279, 8276, 4215, 2173, 520, 1562, 18191, 7897, 1922, 529, 651, 15918, 871, 3620, 1177, 330, 3620, 4545, 1442, 264, 476, 279, 269, 918, 686, 1122, 518, 267, 715, 269, 630, 1960, 271, 1040, 30101, 543, 4008, 7130, 281, 1981, 2188, 585, 1164, 1973, 2604, 27085, 4317, 2257, 1299, 4915, 267, 476, 1789, 263, 1321, 1070, 476, 14096, 274, 268, 12553, 272, 269, 630, 10059, 2517, 4178, 4732, 857, 10642, 1311, 2593, 4882, 7220, 270, 14835, 270, 11274, 9706, 4512, 270, 271, 2767, 278, 4817, 3607, 280, 271, 3445, 28906, 292, 264, 476, 280, 269, 623, 7795, 331, 267, 681, 269, 631, 1421, 1656, 9445, 21416, 267, 570, 1421, 1299, 9466, 749, 267, 918, 269, 667, 269, 630, 1220, 279, 1040, 3131, 8526, 540, 2597, 7130, 281, 9860, 543, 6476, 547, 5198, 543, 4008, 7130, 538, 3013, 269, 4179, 2517, 4178, 8542, 1155, 2593, 270, 14895, 270, 6359, 334, 1220, 279, 2420, 4139, 4760, 540, 8377, 267, 476, 3953, 263, 277, 1070, 476, 4200, 273, 268, 1911, 271, 563, 268, 30101, 4515, 4979, 454, 268, 670, 622, 16594, 454, 268, 13834, 26521, 454, 268, 5398, 1744, 5446, 454, 268, 17587, 15356, 454, 5591, 991, 547, 2628, 1175, 2943, 2336, 268, 27491, 7427, 539, 1677, 634, 14594, 454, 268, 16458, 6050, 5450, 2311, 5272, 8609, 454, 268, 23433, 1656, 1773, 698, 14705, 5131, 454, 305, 864, 267, 4147, 267, 543, 13834, 454, 1103, 18722, 543, 19811, 8730, 3184, 593, 968, 3963, 5198, 267, 1362, 267, 543, 4008, 1869, 1319, 619, 892, 5000, 3988, 547, 1589, 827, 519, 1158, 538, 741, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 269, 1358, 11130, 602, 1256, 1498, 2486, 814, 1689, 543, 972, 568, 513, 2647, 2039, 540, 4763, 282, 5198, 267, 1362, 543, 4008, 1869, 6927, 269, 18722, 543, 19811, 7150, 267, 968, 305, 864, 267, 1362, 267, 543, 4008, 2339, 1317, 789, 2611, 519, 5748, 585, 1062, 540, 1379, 543, 8635, 602, 267, 5103, 938, 4182, 779, 4763, 267, 3136, 547, 581, 1851, 519, 1034, 1713, 1514, 5013, 540, 9082, 2729, 1848, 630, 4517, 3205, 543, 19811, 267, 476, 1001, 271, 264, 1879, 594, 729, 513, 2370, 8004, 267, 594, 2760, 6785, 602, 1004, 941, 9286, 538, 547, 2516, 971, 607, 5198, 267, 1362, 267, 4008, 269, 594, 6785, 972, 941, 1004, 602, 1185, 513, 1114, 2681, 540, 2960, 982, 1250, 2681, 540, 2960, 269, 594, 6785, 602, 972, 941, 3638, 1004, 543, 4057, 1004, 267, 543, 602, 972, 941, 6690, 543, 8695, 269, 594, 4718, 3025, 607, 1373, 1480, 7919, 267, 607, 1373, 519, 1482, 543, 711, 9286, 607, 1945, 269, 1306, 594, 729, 3395, 909, 267, 594, 3323, 547, 1294, 519, 3604, 538, 28944, 538, 2516, 269, 898, 729, 711, 1317, 594, 1175, 530, 5803, 909, 6616, 602, 972, 941, 1114, 28944, 267, 855, 1317, 594, 729, 6026, 827, 873, 538, 1153, 543, 2486, 269, 18722, 543, 19811, 7150, 267, 968, 305, 864, 267, 1362, 543, 4008, 3337, 519, 2833, 540, 782, 1004, 538, 519, 2136, 2276, 269, 630, 1001, 271, 264, 901, 1797, 602, 2833, 602, 649, 723, 8854, 998, 538, 1272, 616, 4646, 689, 513, 5198, 267, 1362, 267, 543, 4008, 2070, 269, 9861, 513, 1970, 13867, 17104, 1268, 267, 594, 723, 1185, 513, 3983, 1995, 950, 10918, 538, 513, 2392, 7631, 2299, 22554, 10918, 4099, 269, 594, 3314, 513, 942, 1250, 31225, 338, 543, 594, 4682, 547, 4444, 9660, 693, 513, 10918, 4099, 538, 18096, 269, 1879, 649, 941, 693, 513, 4558, 3168, 693, 519, 9660, 649, 8068, 602, 5234, 689, 519, 4558, 729, 1739, 721, 899, 952, 649, 941, 2469, 547, 3775, 1945, 269, 1879, 3267, 3267, 1647, 540, 1957, 3267, 3267, 630, 1220, 278, 264, 901, 2013, 5693, 7152, 602, 972, 568, 1100, 7862, 538, 519, 2366, 9760, 540, 4775, 25476, 543, 602, 2021, 616, 1373, 4845, 811, 10792, 569, 982, 9038, 269, 22108, 18722, 267, 631, 11482, 1421, 1299, 19811, 623, 13034, 269, 630, 1001, 271, 1040, 17813, 267, 4147, 267, 1299, 13834, 281, 1323, 16262, 1108, 269, 4208, 17813, 267, 4147, 267, 543, 13834, 12846, 17460, 269, 476, 279, 628, 9990, 269, 5617, 30893, 777, 267, 808, 269, 630, 1220, 278, 1040, 634, 15865, 2021, 269, 476, 274, 6113, 1196, 269, 5617, 23992, 267, 11404, 281, 774, 1682, 517, 14451, 4065, 269, 5062, 4504, 9655, 267, 623, 269, 630, 2735, 279, 1040, 6519, 17658, 850, 613, 267, 7822, 267, 543, 17235, 269, 681, 2135, 12064, 14539, 7577, 267, 11968, 13353, 267, 11404, 11412, 345, 31899, 267, 595, 269, 630, 1960, 280, 1040, 634, 4161, 547, 12339, 24452, 15054, 676, 6468, 779, 946, 540, 5208, 538, 15982, 3347, 269, 570, 822, 5142, 267, 595, 269, 630, 1960, 273, 1040, 634, 631, 1143, 324, 5501, 540, 19716, 2433, 4208, 6468, 3657, 3502, 519, 14568, 11557, 267, 769, 2536, 1640, 610, 11534, 5242, 11557, 269, 634, 476, 3583, 10275, 559, 6945, 812, 543, 519, 9176, 1268, 269, 17363, 1299, 5576, 13831, 269, 15681, 529, 267, 918, 269, 7435, 719, 269, 4993, 3557, 2160, 540, 17485, 13353, 267, 11404, 267, 5988, 476, 1556, 267, 476, 1001, 275, 563, 1103, 713, 1557, 267, 519, 2278, 454, 268, 8890, 8240, 875, 543, 3205, 543, 2458, 1231, 5000, 3988, 547, 1589, 827, 519, 1158, 538, 741, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 563, 268, 4112, 1622, 602, 789, 4312, 1185, 513, 3983, 1995, 950, 10918, 538, 2392, 7631, 2299, 22554, 10918, 7740, 269, 930, 3043, 1004, 3251, 1369, 741, 5198, 267, 1106, 3347, 267, 543, 723, 2673, 17052, 609, 1004, 689, 824, 4529, 563, 268, 8890, 8240, 875, 890, 1375, 344, 26818, 842, 9655, 7512, 3988, 547, 1589, 827, 519, 1158, 538, 519, 5943, 540, 5198, 267, 1362, 267, 543, 4008, 593, 513, 834, 19009, 17979, 257, 5133, 563, 268, 14956, 1149, 602, 1517, 30893, 777, 781, 6679, 3184, 593, 834, 1492, 11944, 540, 4008, 538, 6309, 11659, 257, 7512, 3988, 547, 1589, 827, 519, 1158, 538, 519, 5943, 593, 513, 4807, 1055, 2658, 5133, 563, 268, 8890, 8240, 875, 911, 6665, 14550, 1079, 1114, 4485, 547, 4008, 7862, 267, 519, 834, 16029, 2924, 257, 1935, 543, 834, 342, 1580, 781, 2924, 8487, 268, 4112, 1622, 602, 972, 616, 1082, 3604, 1063, 519, 834, 16029, 2924, 257, 543, 834, 342, 1580, 781, 1318, 257, 1935, 547, 4008, 7862, 563, 268, 4112, 1622, 602, 519, 834, 1410, 28771, 908, 21031, 262, 4055, 1966, 257, 729, 513, 1353, 827, 2021, 543, 2367, 781, 1857, 1964, 7741, 563, 268, 14956, 1149, 602, 972, 616, 3604, 1063, 9038, 543, 8951, 602, 3112, 581, 4957, 269, 930, 2090, 602, 6542, 713, 616, 2564, 2090, 3823, 2295, 2068, 563, 268, 14956, 1149, 602, 519, 2564, 2361, 2115, 547, 2015, 543, 3398, 602, 972, 568, 513, 3017, 1063, 2367, 543, 2021, 563, 268, 4112, 1622, 602, 2367, 4043, 547, 581, 811, 10728, 982, 2021, 267, 1247, 2021, 616, 32616, 539, 607, 12809, 267, 543, 789, 616, 24565, 676, 741, 5615, 269, 2021, 616, 811, 2693, 982, 2367, 547, 946, 2168, 14699, 538, 1582, 12413, 1619, 563, 268, 8890, 8240, 875, 1517, 30893, 777, 14550, 602, 972, 568, 1100, 7862, 538, 519, 2366, 9760, 540, 4775, 25476, 543, 602, 2021, 616, 1373, 30992, 811, 10792, 569, 982, 9038, 563, 268, 4112, 1622, 543, 3205, 267, 544, 7456, 1421, 1299, 2458, 1231, 267, 533, 19544, 269, 630, 1001, 271, 1040, 1946, 5198, 267, 1362, 267, 543, 4008, 1869, 2339, 563, 268, 4112, 1622, 519, 4161, 547, 22158, 15054, 676, 2021, 781, 946, 540, 5208, 538, 15982, 3347, 563, 268, 4112, 1622, 512, 822, 5142, 267, 524, 1421, 519, 25314, 324, 5501, 540, 4807, 267, 543, 519, 476, 3583, 10275, 559, 6945, 812, 543, 519, 9176, 1268, 563, 12812, 1934, 547, 12260, 713, 543, 936, 835, 2929, 3594, 454, 23087, 2986, 3427, 339, 1779, 1635, 631, 3821, 2717, 6674, 454, 1103, 3427, 339, 1779, 281, 681, 996, 9722, 1548, 1284, 17166, 6168, 910, 543, 547, 910, 4841, 5272, 4303, 267, 631, 3821, 2717, 6674, 2488, 3988, 609, 1249, 2861, 1344, 547, 968, 4148, 760, 519, 7097, 892, 540, 519, 3765, 10517, 19948, 540, 1053, 538, 519, 2069, 4259, 269, 2717, 6674, 9727, 875, 5198, 267, 4008, 267, 543, 6803, 10297, 666, 581, 17672, 547, 2875, 9740, 269, 2701, 267, 1287, 267, 546, 1161, 538, 547, 476, 7785, 1296, 540, 14868, 3823, 1514, 5198, 10297, 543, 875, 789, 3136, 547, 1860, 3425, 2221, 269, 1635, 31925, 5198, 267, 4008, 267, 543, 14940, 6003, 14868, 538, 938, 8186, 267, 649, 666, 3927, 12167, 585, 891, 1053, 269, 1677, 9959, 519, 1433, 267, 2717, 6674, 6212, 593, 875, 547, 28433, 513, 1544, 547, 2953, 938, 1378, 20887, 543, 6536, 513, 11215, 1604, 585, 3309, 1053, 269, 10801, 454, 14187, 4024, 15391, 532, 543, 13852, 670, 23697, 262, 18227, 19171, 547, 5851, 454, 293, 529, 651, 267, 681, 1421, 1299, 7261, 6350, 267, 966, 269, 630, 1220, 276, 1040, 5438, 1329, 1424, 17813, 267, 4147, 267, 543, 13834, 538, 519, 2136, 2276, 281, 19549, 9990, 269, 11785, 281, 17755, 3863, 295, 650, 454, 295, 2788, 519, 21708, 281, 3131, 7065, 15070, 853, 699, 8040, 2552, 9084, 543, 519, 11534, 1833, 540, 6468, 454, 298, 11481, 267, 700, 714, 630, 2735, 278, 264, 968, 763, 8033, 10840, 540, 20351, 20222, 1848, 769, 281, 6468, 267, 20222, 543, 4317, 6513, 267, 12995, 676, 808, 269, 12390, 1067, 543, 631, 269, 2904, 333, 731, 269, 9533, 4400, 4133, 281, 28299, 4964, 4139, 281, 476, 5379, 268, 2568, 563, 763, 9452, 19992, 519, 2480, 1513, 267, 634, 4033, 17121, 540, 21537, 1047, 281, 589, 6490, 7546, 454, 257, 309, 2723, 775, 1996, 2021, 32717, 781, 513, 2367, 781, 3390, 1701, 12722, 15576, 345, 15545, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 1428, 4455, 269, 476, 1001, 275, 269, 4586, 26046, 2986, 717, 836, 26064, 1280, 589, 4303, 454, 4517, 619, 523 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 543, 2322, 930, 13504, 593, 519, 5377, 540, 519, 21799, 6989, 454, 21607, 519, 9676, 5017, 883, 519, 13409, 3337, 21799, 454, 2704, 869, 519, 5017, 547, 7914, 909, 5196, 519, 13409, 538, 519, 4287, 602, 789, 24714, 547, 22109, 454, 2304, 13504, 1025, 582, 729, 2451, 593, 519, 2427, 540, 519, 13409, 6825, 519, 6177, 781, 4287, 540, 2951, 563, 8794, 519, 1482, 1305, 5346, 543, 1505, 267, 15537, 1287, 3576, 1010, 4603, 547, 519, 1985, 1377, 912, 20278, 519, 13409, 3337, 21799, 543, 5017, 883, 513, 4541, 10740, 454, 14937, 523, 856, 1114, 2694, 540, 519, 6607, 538, 519, 4541, 10740, 454, 3891, 4767, 602, 3109, 2287, 856, 519, 13020, 344, 1185, 454, 7224, 1198, 593, 519, 6177, 781, 2702, 547, 7259, 622, 538, 513, 521, 719, 615, 569, 4287, 454, 1721, 2887, 9194, 267, 855, 950, 519, 3844, 851, 540, 519, 3781, 6607, 729, 454, 18872, 2989, 856, 519, 5017, 1223, 1100, 3476, 7259, 622, 5265, 543, 741, 454, 323, 27399, 5322, 2968, 4351, 563, 2005, 729, 713, 1353, 602, 3893, 3173, 3206, 827, 1018, 10291, 5017, 941, 1210, 547, 22109, 563, 2889, 12378, 609, 1210, 519, 3141, 568, 519, 3586, 4657, 540, 922, 2990, 454, 10843, 719, 519, 1554, 269, 1403, 585, 1383, 267, 596, 1031, 519, 3141, 585, 10066, 454, 20580, 5099, 707, 18330, 1131, 9095, 936, 519, 1576, 540, 519, 1554, 269, 634, 454, 338, 1828, 547, 713, 568, 547, 946, 513, 942, 13180, 3141, 22315, 269, 1677, 946, 713, 454, 24709, 540, 10066, 519, 5017, 1131, 2154, 513, 1826, 540, 4835, 9219, 454, 5891, 532, 519, 942, 540, 1554, 630, 527, 568, 2219, 602, 519, 5017, 723, 513, 1826, 540, 454, 514, 4156, 9219, 264, 799, 2636, 873, 547, 8038, 593, 513, 1808, 5086, 3448, 454, 1729, 519, 10877, 2990, 563, 2467, 616, 513, 7008, 540, 2409, 602, 666, 581, 1031, 547, 6542, 713, 9259, 855, 15535, 1152, 13890, 835, 1505, 563, 9767, 723, 1079, 11353, 540, 1344, 630, 15711, 543, 942, 540, 1554, 264, 596, 666, 454, 2006, 760, 3634, 2901, 835, 610, 519, 824, 269, 1280, 1383, 267, 952, 596, 1616, 707, 454, 822, 20345, 547, 2212, 7532, 543, 519, 3141, 568, 693, 476, 1556, 281, 876, 522, 262, 22018, 538, 519, 5045, 7532, 2676, 9767, 3068, 4724, 519, 3141, 1287, 17967, 3054, 5111, 476, 1789, 5232, 454, 1729, 519, 7532, 543, 2212, 538, 602, 4287, 269, 901, 786, 581, 707, 16144, 585, 454, 1556, 281, 876, 522, 262, 22018, 269, 4595, 519, 3141, 7575, 998, 519, 16880, 693, 5111, 454, 1428, 5232, 829, 5662, 267, 476, 1321, 281, 876, 522, 262, 22018, 1131, 1689, 519, 5086, 547, 476, 3393, 5232, 454, 263, 1789, 1341, 476, 1428, 1040, 901, 568, 4010, 1018, 10060, 13530, 723, 1044, 3254, 547, 798, 563, 298, 571, 1067, 476, 4198, 278, 267, 3703, 11001, 6069, 713, 454, 1889, 2559, 1143, 540, 10066, 585, 1019, 19012, 10060, 1782, 9194, 1282, 519, 1554, 563, 21156, 540, 4657, 519, 9219, 646, 26203, 519, 3141, 547, 8945, 519, 5017, 454, 20041, 3206, 519, 6640, 729, 29869, 543, 519, 10543, 568, 476, 1321, 28813, 676, 454, 1584, 1154, 519, 5017, 593, 513, 1114, 1769, 7933, 1046, 8430, 563, 2414, 19472, 602, 454, 18346, 946, 519, 3141, 7271, 585, 10066, 646, 1305, 909, 606, 4603, 538, 454, 6518, 646, 26203, 519, 5086, 540, 519, 3141, 269, 634, 5017, 538, 713, 4603, 454, 732, 4955, 7992, 538, 513, 14926, 615, 569, 4287, 563, 13729, 909, 513, 1187, 6773, 3337, 6177, 15972, 454, 20278, 513, 11604, 883, 519, 21799, 547, 1689, 519, 3141, 781, 4087, 454, 20278, 519, 9676, 5017, 883, 519, 1187, 6773, 8032, 6177, 21799, 454, 4263, 23863, 519, 5017, 24363, 693, 476, 3445, 5232, 3448, 547, 519, 2990, 540, 519, 3141, 538, 1931, 547, 1832, 741, 14926, 615, 569, 16144, 563, 763, 5017, 1031, 513, 4999, 540, 1312, 519, 3141, 543, 942, 547, 948, 873, 609, 12445, 563, 1721, 4930, 593, 6177, 10066, 543, 741, 7664, 5225, 3643, 25067, 2228, 5399, 693, 281, 5291, 2517, 517, 4802, 601, 3869, 9884, 13704, 2593, 270, 4495, 4448, 4283, 6177, 10066, 543, 741, 7664, 883, 519, 3406, 4216, 563, 9616, 281, 25080, 13207, 1588, 2242, 689, 1032, 547, 1032, 563, 2467, 568, 513, 2603, 540, 1344, 547, 581, 1031, 950, 1210, 519, 25080, 2361, 912, 291, 3925, 1275, 538, 799, 596, 666, 2995, 5087, 689, 5045, 454, 17951, 956, 540, 3616, 5209, 799, 4268, 4470, 1141, 596, 4755, 547, 581, 593, 519, 8608, 454, 763, 31007, 540, 519, 6419, 2361, 9775, 609, 519, 20173, 267, 1775, 4318, 269, 538, 454, 16341, 9634, 621, 781, 6793, 543, 538, 824, 9634, 621, 781, 21260, 454, 4910, 792, 7815, 12070, 1206, 577, 14150, 1705, 930, 540, 519, 21722, 454, 1740, 1210, 519, 29581, 3128, 16379, 16509, 19234, 609, 3864, 7605, 1231, 538, 454, 310, 7159, 2394, 519, 5017, 1376, 741, 5614, 5087, 1189, 9194, 454, 20278, 5017, 883, 1187, 6773, 524, 1137, 454, 8196, 29581, 3128, 16379, 16509, 547, 13861, 270, 3333, 3424, 519, 6419, 2361, 540, 519, 6177, 781, 13804, 564, 924, 265, 547, 519, 2451, 454, 8196, 29581, 3128, 16379, 16509, 547, 13861, 270, 3333, 3424, 519, 6419, 2361, 540, 519, 6177, 781, 13804, 564, 924, 265, 547, 519, 1318, 454, 265, 300, 24599, 924, 568, 513, 6923, 9648, 7777, 454, 331, 11343, 2673, 547, 741, 2634, 610, 538, 519, 6177, 781, 8405, 6091, 630, 520, 3490, 540, 454, 1492, 15693, 264, 543, 538, 519, 1283, 6712, 540, 519, 581, 752, 538, 930, 5017, 630, 763, 454, 332, 8568, 23673, 540, 519, 29581, 3128, 16379, 16509, 16569, 585, 476, 274, 268, 275, 3108, 1040, 898, 568, 454, 2288, 339, 602, 519, 11275, 924, 6411, 899, 513, 22315, 15738, 2509, 519, 454, 333, 2180, 269, 6271, 8367, 602, 18387, 1405, 1044, 8810, 2943, 267, 568, 519, 5017, 454, 332, 697, 581, 2111, 547, 9308, 1294, 519, 3618, 781, 6419, 2361, 676, 513, 454, 6798, 12950, 1184, 5473, 519, 5075, 563, 21156, 540, 519, 6177, 16144, 5087, 519, 6177, 7575, 454, 514, 513, 5087, 3887, 2120, 569, 4287, 538, 519, 1187, 6773, 21799, 950, 519, 29581, 3128, 16379, 454, 1723, 559, 10593, 519, 6177, 781, 13804, 564, 924, 547, 519, 2451, 269, 1879, 519, 18635, 540, 519, 454, 13900, 332, 3128, 16379, 16509, 616, 20328, 543, 519, 6177, 781, 13804, 564, 924, 568, 17146, 547, 519, 454, 2431, 519, 6177, 7575, 538, 513, 5087, 2914, 6856, 569, 4287, 538, 519, 1187, 6773, 21799, 563, 20118, 267, 5017, 602, 616, 4955, 7992, 5045, 1847, 538, 513, 5045, 3887, 2120, 569, 543, 454, 338, 1926, 2914, 6856, 569, 4287, 1310, 1373, 5116, 538, 519, 29581, 3128, 16379, 16509, 563, 763, 5017, 616, 9090, 524, 5224, 883, 519, 3618, 781, 6419, 2361, 585, 9194, 454, 763, 1657, 476, 274, 4773, 540, 1344, 5732, 666, 581, 1031, 1247, 519, 5017, 270, 534, 7769, 616, 4955, 7992, 855, 616, 789, 2614, 888, 16987, 9323, 676, 24981, 16334, 8583, 9244, 2303, 972, 568, 513, 476, 275, 628, 29692, 910, 21069, 1242, 8752, 454, 300, 8568, 3345, 666, 4268, 609, 13664, 3345, 454, 328, 4318, 269, 25080, 5087, 3085, 1405, 8209, 1611, 3020, 5087, 269, 634, 28550, 540, 454, 1492, 3618, 543, 6419, 3616, 1588, 1590, 581, 3144, 883, 7156, 563, 1607, 1239, 4805, 786, 711, 1205, 596, 547, 707, 10278, 563, 10048, 760, 1637, 540, 21069, 1242, 8752, 912, 2421, 24981, 16334, 8583, 910, 2324, 538, 519, 962, 4157, 517, 18232, 267, 14522, 609, 519, 14205, 20087, 454, 306, 1706, 992, 264, 2701, 543, 824, 3173, 630, 27770, 648, 543, 29928, 476, 1220, 277, 994, 1506, 13607, 1127, 1242, 602, 5017, 941, 1210, 8701, 1242, 1769, 3270, 693, 454, 15711, 3553, 4882, 684, 23438, 547, 2285, 4977, 16315, 540, 1018, 3020, 5087, 543, 3020, 454, 338, 1926, 568, 269, 634, 6786, 14897, 607, 519, 23863, 543, 13713, 31272, 792, 693, 454, 763, 5017, 538, 1198, 616, 26215, 908, 1018, 4287, 543, 1018, 454, 4120, 789, 1131, 991, 547, 8038, 3448, 547, 519, 6419, 2361, 563, 4263, 23863, 1315, 3141, 23438, 972, 568, 513, 6512, 540, 8701, 1242, 454, 2775, 602, 568, 15865, 547, 519, 1480, 3750, 855, 7298, 547, 519, 5017, 630, 2005, 454, 13757, 1044, 4362, 602, 824, 3662, 2249, 723, 713, 2702, 607, 454, 6202, 1040, 634, 5017, 616, 2921, 891, 13164, 543, 19011, 1645, 873, 269, 1924, 1100, 454, 332, 2660, 1141, 789, 616, 593, 519, 4541, 519, 6512, 3328, 786, 2995, 873, 454, 6343, 4287, 5045, 568, 269, 634, 6419, 2361, 1522, 711, 8209, 2995, 454, 29442, 1018, 3020, 5045, 568, 267, 855, 1448, 585, 1383, 7178, 540, 5045, 269, 1635, 1210, 454, 1492, 3328, 540, 23863, 1315, 3141, 23438, 8701, 1242, 1769, 13164, 519, 5017, 616, 454, 762, 547, 8930, 15304, 519, 4287, 540, 5045, 543, 4188, 519, 5086, 789, 454, 30524, 991, 547, 8038, 1210, 519, 6419, 2361, 563, 310, 7159, 2394, 519, 5017, 1376, 741, 2887, 5045, 1189, 9194, 454, 20278, 5017, 538, 524, 1137, 454, 4537, 3424, 519, 8701, 1242, 1769, 3270, 609, 1769, 12086, 676, 476, 3445, 5232, 454, 292, 770, 270, 26156, 693, 3141, 23438, 543, 476, 3445, 5232, 5101, 270, 26156, 693, 23863, 454, 21156, 540, 519, 5017, 16144, 5045, 782, 540, 519, 454, 18346, 17146, 741, 3350, 676, 476, 3445, 5232, 5101, 1315, 4639, 2687, 547, 454, 323, 3925, 540, 6521, 269, 901, 729, 1360, 2178, 2963, 602, 5017, 941, 1210, 454, 1492, 13164, 540, 8701, 1242, 1769, 538, 519, 6607, 585, 12445, 563, 16987, 9323, 676, 4477, 15927, 476, 1960, 272, 609, 3864, 4563, 595, 2355, 454, 763, 9960, 4563, 4211, 2355, 5095, 538, 5125, 454, 332, 580, 3433, 5045, 29891, 547, 8050, 1287, 1524, 547, 4639, 4000, 269, 634, 9960, 454, 14937, 4211, 2355, 5095, 538, 12017, 787, 22109, 5045, 3887, 770, 547, 11894, 543, 1287, 454, 6658, 547, 5101, 4000, 269, 1703, 568, 930, 16937, 1369, 891, 5095, 454, 263, 2381, 2711, 2094, 891, 5017, 1810, 1405, 9742, 693, 519, 1482, 942, 865, 972, 568, 711, 454, 320, 2603, 540, 4316, 585, 891, 5017, 547, 3575, 1927, 1916, 31161, 618, 543, 10066, 666, 581, 9168, 676, 513, 1297, 540, 1919, 454, 19686, 910, 1548, 4477, 15927, 1705, 538, 476, 1960, 272, 912, 307, 809, 5017, 689, 1312, 540, 891, 5095, 454, 3891, 6027, 741, 10066, 543, 1287, 646, 26870, 873, 1927, 454, 763, 1611, 10066, 540, 519, 1055, 1606, 7428, 2676, 14937, 4211, 2355, 22613, 729, 547, 519, 5045, 3246, 2963, 602, 972, 568, 454, 16341, 4719, 1852, 936, 519, 9194, 10066, 585, 5017, 563, 24357, 8344, 1852, 540, 9194, 10066, 1210, 3170, 13907, 454, 763, 1843, 540, 713, 4603, 729, 547, 3605, 2676, 6343, 519, 12214, 8060, 540, 9194, 10066, 616, 269, 901, 454, 13231, 344, 729, 2944, 593, 519, 5087, 2427, 540, 519, 13323, 540, 6792, 269, 590, 263, 24047, 543, 631, 263, 286, 994, 1889, 25979, 519, 6177, 781, 3170, 14425, 1282, 741, 9194, 5045, 563, 290, 2255, 5017, 593, 519, 5087, 13272, 540, 519, 13323, 540, 6792, 607, 789, 28953, 689, 519, 5087, 547, 519, 5045, 454, 307, 1901, 2370, 16657, 16853, 5196, 519, 5017, 17207, 630, 339, 3637, 2597, 602, 1131, 2887, 1055, 994, 3725, 3161, 543, 3950, 1315, 7747, 4287, 540, 8184, 454, 763, 5017, 602, 941, 3170, 18188, 1318, 856, 936, 519, 1216, 563, 763, 5017, 602, 941, 10709, 18188, 547, 519, 7178, 454, 26078, 636, 2406, 547, 8038, 24654, 543, 979, 1472, 519, 13323, 2394, 789, 1185, 454, 338, 11211, 3170, 14425, 563, 288, 3170, 15395, 568, 513, 29692, 547, 8184, 10066, 2676, 8117, 875, 789, 7259, 622, 568, 14356, 6378, 16220, 267, 543, 1522, 581, 454, 323, 17827, 676, 741, 1560, 2783, 267, 1775, 4318, 269, 875, 1454, 3170, 789, 723, 543, 519, 454, 15132, 636, 560, 1734, 602, 789, 1265, 2933, 538, 2523, 950, 789, 991, 547, 454, 29589, 513, 1804, 1163, 534, 572, 540, 1216, 563, 20755, 532, 12186, 593, 24779, 18112, 550, 566, 454, 294, 2958, 1287, 12038, 13713, 827, 519, 960, 270, 13231, 625, 454, 7474, 646, 729, 3257, 593, 13573, 6816, 538, 519, 7345, 540, 8750, 344, 267, 5111, 476, 276, 454, 330, 559, 18852, 5045, 540, 9835, 2494, 534, 6816, 269, 13573, 6816, 568, 606, 4998, 7226, 454, 1721, 5017, 269, 634, 7187, 476, 272, 270, 274, 568, 7768, 540, 645, 648, 531, 5983, 7370, 543, 519, 454, 338, 4822, 476, 273, 270, 274, 568, 7768, 540, 6371, 2244, 269, 3509 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 1012, 15776, 12340, 543, 23715, 686, 692, 7462, 901, 1888, 814, 4274, 30491, 454, 21801, 1640, 1923, 8921, 24419, 281, 476, 1789, 24762, 454, 15803, 281, 476, 1556, 454, 16274, 281, 476, 1626, 2904, 476, 1220, 280, 692, 2162, 15776, 12340, 543, 23715, 686, 692, 2421, 536, 9618, 520, 341, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 275, 281, 4905, 993, 454, 7021, 519, 2063, 1079, 1296, 267, 945, 1500, 811, 2724, 10115, 538, 6006, 2344, 267, 8350, 12340, 610, 23128, 686, 2496, 263, 272, 264, 15776, 12340, 1500, 606, 3328, 2132, 540, 476, 736, 260, 543, 23715, 686, 1500, 606, 3328, 2132, 540, 476, 276, 260, 780, 263, 273, 264, 23715, 686, 3323, 609, 1079, 2053, 607, 1454, 2724, 607, 15776, 12340, 780, 4692, 2576, 2491, 519, 3268, 2496, 29151, 910, 661, 692, 26765, 754, 776, 16588, 454, 15803, 281, 476, 14138, 280, 454, 16274, 281, 476, 6187, 7325, 476, 1220, 279, 454, 14188, 539, 281, 476, 1839, 2053, 454, 10287, 539, 676, 281, 272, 2818, 454, 2421, 513, 329, 27944, 276, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 275, 281, 2190, 993, 454, 296, 993, 3478, 519, 2626, 607, 1496, 4944, 334, 8814, 28488, 290, 264, 22535, 4944, 334, 8814, 6540, 22913, 1923, 8921, 24419, 281, 476, 4335, 24762, 454, 15803, 281, 476, 9340, 454, 16274, 281, 476, 2767, 9484, 476, 1220, 279, 454, 14188, 539, 281, 476, 272, 2053, 454, 2421, 512, 323, 19631, 10019, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 277, 281, 3953, 993, 454, 574, 849, 3478, 595, 1862, 4754, 2576, 2491, 5225, 269, 780, 29479, 26189, 528, 454, 15803, 281, 476, 4200, 454, 16274, 281, 476, 4962, 3057, 476, 1220, 280, 454, 19613, 281, 12924, 290, 454, 14188, 539, 281, 476, 6246, 2053, 454, 10287, 539, 676, 281, 280, 2818, 454, 29479, 24143, 281, 8517, 454, 2421, 8277, 12113, 516, 4275, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 278, 281, 6021, 993, 454, 3080, 540, 519, 1034, 1271, 4388, 594, 666, 2709, 593, 4578, 2672, 11797, 568, 547, 2628, 3007, 950, 519, 17918, 3947, 596, 513, 3787, 540, 1344, 1510, 10912, 1454, 3007, 547, 621, 780, 1103, 713, 2013, 267, 594, 993, 28798, 538, 593, 519, 1249, 602, 3948, 476, 272, 12909, 827, 519, 834, 320, 2071, 257, 7024, 1142, 1268, 4607, 780, 2414, 3715, 513, 3668, 540, 647, 11797, 267, 1317, 519, 2626, 568, 661, 267, 649, 991, 547, 1711, 513, 3510, 538, 799, 15776, 12340, 2306, 811, 543, 513, 3510, 538, 799, 23715, 686, 2306, 811, 780, 9928, 523, 9222, 476, 272, 910, 15776, 12340, 2306, 811, 454, 299, 525, 12340, 6238, 609, 1269, 1911, 543, 2306, 476, 736, 260, 1312, 1296, 269, 476, 1911, 263, 272, 269, 273, 7565, 272, 269, 273, 264, 815, 476, 13893, 23715, 686, 6238, 609, 259, 1220, 543, 2306, 4939, 276, 1312, 1296, 563, 1220, 263, 272, 269, 4962, 7565, 272, 269, 4962, 264, 815, 476, 13136, 269, 2004, 692, 2252, 649, 666, 2097, 909, 609, 513, 9183, 538, 799, 15776, 12340, 2306, 1447, 602, 1269, 736, 269, 2004, 267, 1287, 519, 2626, 1590, 581, 661, 269, 31950, 9222, 476, 273, 910, 23715, 686, 2306, 811, 15776, 12340, 6238, 609, 259, 1911, 269, 2701, 19380, 476, 2004, 260, 519, 1101, 1032, 543, 12374, 476, 3445, 260, 519, 2034, 1032, 269, 1284, 666, 798, 713, 267, 1317, 519, 3328, 540, 11196, 2004, 264, 543, 630, 3445, 264, 568, 476, 736, 563, 1911, 263, 269, 276, 7565, 272, 269, 280, 6661, 476, 4817, 692, 1103, 713, 9183, 267, 1352, 1705, 3328, 1341, 736, 260, 7024, 267, 855, 1352, 2965, 4503, 8096, 276, 936, 519, 1079, 1296, 780, 297, 846, 12113, 516, 4275, 454, 293, 10133, 543, 16628, 267, 918, 2908, 2023, 267, 5549, 563, 10059, 2517, 4178, 21993, 2908, 2023, 2593, 17320, 3901, 692, 26765, 754, 776, 16588, 454, 15803, 281, 476, 14138, 280, 454, 16274, 281, 476, 6187, 7325, 476, 1220, 279, 454, 14188, 539, 281, 476, 1839, 2053, 454, 10287, 539, 676, 281, 272, 2818, 454, 2421, 513, 329, 27944, 276, 9732, 11205, 2904, 476, 2767, 267, 476, 1220, 280, 476, 1015, 281, 5655, 993, 454, 297, 846, 10484, 296, 10924, 2418, 585, 700, 543, 918, 630, 298, 5595, 982, 700, 1040, 594, 7229, 476, 736, 260, 585, 700, 543, 476, 276, 260, 585, 918, 269, 594, 23060, 519, 2418, 547, 1205, 519, 2179, 585, 476, 273, 1296, 269, 1280, 782, 2418, 540, 700, 543, 918, 267, 594, 3893, 700, 11543, 811, 982, 918, 780, 1805, 10107, 547, 519, 1935, 594, 723, 4553, 267, 875, 666, 594, 1205, 630, 292, 264, 607, 519, 2626, 2496, 1892, 8525, 476, 272, 540, 476, 272, 0, 258, 1215, 798, 596, 1265, 519, 476, 277, 628, 2165, 538, 519, 12166, 5311, 476, 1839, 267, 476, 4037, 267, 476, 18597, 267, 476, 277, 4037, 267, 3267, 2496, 5575, 1265, 519, 1455, 5223, 1269, 337, 259, 4429, 259, 337, 815, 1422, 2765, 346, 4037, 2410, 1839, 348, 815, 476, 274, 14204, 277, 628, 2165, 1269, 284, 476, 277, 4037, 1422, 9392, 476, 274, 1422, 9392, 476, 274, 815, 476, 2568, 278, 276, 259, 0, 272, 269, 12361, 4982, 2526, 775, 4223, 4631, 692, 8923, 9414, 543, 1397, 803, 602, 875, 547, 1265, 30424, 5119, 540, 513, 2016, 5119, 589, 563, 10521, 4223, 4631, 589, 543, 645, 616, 1572, 30424, 952, 585, 1022, 1079, 1875, 1606, 532, 983, 14290, 623, 543, 1627, 971, 602, 267, 589, 284, 303, 289, 304, 563, 5522, 948, 269, 780, 273, 269, 1548, 798, 596, 1616, 4010, 286, 2353, 14290, 6697, 547, 4399, 6234, 589, 259, 2496, 274, 269, 7102, 835, 10756, 26625, 846, 519, 5119, 4399, 6234, 589, 7807, 3847, 24560, 8218, 346, 9795, 348, 476, 272, 1299, 476, 273, 1299, 476, 274, 11138, 476, 272, 1299, 476, 271, 1299, 476, 273, 11138, 476, 274, 1299, 910, 272, 1299, 476, 271, 8607, 315, 754, 346, 9795, 4153, 2431, 316, 259, 563, 10190, 875, 649, 666, 1265, 606, 6697, 5119, 540, 589, 2496, 275, 269, 4270, 267, 519, 15864, 543, 31945, 652, 2626, 568, 547, 1577, 4399, 6234, 623, 284, 304, 284, 296, 1422, 3667, 346, 543, 7684, 645, 815, 589, 10608, 2290, 1259, 547, 1265, 513, 2147, 5119, 568, 676, 1818, 519, 5119, 645, 581, 513, 5119, 609, 519, 27744, 540, 4399, 6234, 589, 259, 607, 519, 15497, 540, 4399, 6234, 645, 10608, 3973, 519, 5119, 4399, 6234, 623, 259, 1131, 723, 519, 7222, 14802, 27523, 607, 9587, 543, 4399, 6234, 1627, 815, 623, 13064, 272, 23201, 2334, 568, 267, 952, 4399, 6234, 22570, 14433, 10983, 267, 642, 10983, 7751, 568, 606, 14802, 335, 1515, 1287, 454, 7445, 6234, 645, 815, 1422, 8218, 32413, 348, 1422, 14433, 318, 272, 1299, 476, 271, 1299, 1422, 26984, 1299, 476, 271, 8607, 476, 271, 1299, 1422, 14433, 318, 273, 1299, 1422, 26984, 1299, 476, 271, 8607, 1422, 341, 25854, 1299, 1299, 1422, 9536, 1824, 1299, 1422, 341, 25854, 8607, 476, 271, 1299, 1422, 26984, 1299, 476, 271, 1299, 1422, 14433, 5332, 17910, 32413, 21456, 663, 454, 7445, 6234, 623, 815, 1422, 8218, 32413, 348, 642, 318, 272, 1422, 26984, 642, 5332, 17910, 32413, 4151, 563, 5278, 6011, 594, 8969, 713, 568, 1018, 596, 616, 3168, 585, 780, 276, 269, 1809, 1775, 1589, 621, 568, 1019, 25830, 531, 2213, 5119, 10756, 4692, 649, 1491, 2147, 2261, 1182, 607, 6697, 14290, 888, 2026, 594, 917, 585, 2147, 14290, 649, 723, 513, 20060, 532, 983, 5119, 623, 521, 6745, 269, 4399, 6234, 589, 284, 303, 13064, 272, 348, 21990, 259, 543, 585, 6697, 14290, 649, 723, 1079, 20060, 532, 983, 14290, 521, 6745, 269, 4399, 6234, 589, 284, 303, 289, 304, 10608, 780, 277, 269, 4270, 267, 2147, 14290, 616, 6697, 676, 4214, 269, 4595, 4399, 6234, 623, 267, 303, 13064, 272, 4151, 616, 1875, 1606, 532, 983, 543, 2921, 4399, 6234, 623, 284, 303, 267, 304, 284, 303, 13064, 272, 4151, 649, 11886, 519, 4214, 780, 278, 269, 1411, 1767, 1354, 602, 596, 4941, 834, 1415, 257, 5119, 6697, 547, 589, 269, 1306, 594, 341, 548, 874, 1767, 267, 1491, 1022, 630, 514, 3200, 1043, 264, 476, 274, 676, 476, 274, 5119, 267, 623, 267, 1265, 1496, 23753, 316, 303, 13064, 272, 22042, 270, 4118, 9948, 663, 5173, 4399, 6234, 623, 4338, 13064, 272, 31859, 2252, 596, 4481, 1616, 513, 15497, 5119, 6697, 547, 589, 267, 607, 596, 3100, 547, 581, 6031, 1631, 267, 596, 1590, 1101, 6961, 602, 971, 693, 3364, 6818, 268, 602, 589, 568, 834, 10972, 21192, 14184, 257, 799, 568, 3020, 952, 543, 1152, 952, 589, 814, 476, 274, 4830, 14802, 27523, 269, 4495, 596, 723, 1336, 1346, 14802, 27523, 267, 1106, 519, 5119, 623, 2348, 519, 14802, 27523, 607, 9587, 269, 634, 4399, 6234, 667, 284, 623, 13064, 272, 348, 4338, 259, 568, 513, 15497, 5119, 6697, 547, 589, 269, 0, 29228, 7869, 281, 29277, 619, 667, 10308, 2742, 692, 1103, 1269, 333, 284, 273, 259, 1268, 630, 25669, 1269, 288, 259, 1299, 1269, 289, 259, 264, 26956, 781, 14196, 267, 519, 2009, 4093, 616, 1269, 5723, 267, 16671, 267, 7374, 267, 17584, 267, 24884, 259, 543, 519, 2628, 26160, 616, 18159, 272, 267, 272, 1070, 630, 271, 267, 274, 1070, 630, 274, 267, 271, 1070, 630, 273, 267, 273, 7751, 1141, 1269, 290, 259, 568, 834, 1723, 7774, 257, 543, 1269, 291, 259, 568, 834, 3698, 1254, 6231, 3086, 585, 1269, 333, 284, 274, 259, 18159, 288, 32390, 267, 290, 29408, 1269, 288, 259, 814, 1079, 5079, 630, 1721, 1269, 289, 267, 290, 259, 264, 543, 519, 1482, 585, 1269, 289, 259, 543, 1269, 290, 8961, 4061, 519, 4093, 616, 692, 11377, 8218, 346, 18091, 333, 6783, 15857, 16671, 4211, 290, 4211, 290, 267, 8607, 16671, 4211, 290, 4211, 291, 267, 8607, 16671, 4211, 290, 5937, 290, 267, 8607, 16671, 4211, 290, 5937, 291, 267, 8607, 1422, 25854, 1422, 754, 346, 18091, 333, 6783, 265, 15732, 663, 1269, 5038, 259, 971, 1866, 780, 1432, 786, 581, 519, 2628, 4752, 1287, 286, 594, 1810, 1405, 20053, 547, 1205, 519, 2407, 2628, 4752, 855, 519, 12191, 547, 5173, 519, 2628, 4752, 585, 2161, 1269, 7374, 5937, 291, 5937, 290, 16859, 4916, 281, 594, 2219, 540, 8840, 621, 883, 1269, 273, 259, 1268, 26956, 781, 14196, 899, 519, 1269, 7374, 5937, 291, 5937, 290, 259, 607, 1269, 7374, 267, 30250, 267, 9823, 8961, 6218, 519, 1367, 267, 7941, 676, 476, 274, 543, 2040, 621, 909, 269, 1772, 621, 4636, 547, 798, 602, 2496, 1892, 594, 1131, 8263, 519, 3014, 568, 1869, 21136, 543, 865, 519, 2628, 26160, 1058, 630, 5976, 514, 15340, 264, 4096, 1152, 593, 519, 1297, 540, 5716, 945, 8919, 281, 1280, 1383, 281, 2608, 952, 595, 6717, 267, 2628, 26160, 815, 630, 272, 267, 272, 267, 272, 5148, 2608, 952, 667, 6717, 2628, 26160, 815, 630, 274, 267, 271, 267, 271, 264, 630, 1492, 19157, 8919, 528, 814, 782, 519, 29541, 1379, 5148, 2608, 952, 667, 17584, 2628, 26160, 815, 630, 273, 267, 273, 267, 271, 264, 630, 6112, 519, 24625, 1807, 19380, 267, 9444, 8919, 528, 814, 782, 519, 15407, 5148, 2608, 952, 667, 24884, 2628, 26160, 815, 630, 273, 267, 273, 267, 273, 1040, 1411, 1223, 8044, 602, 519, 2628, 26160, 585, 667, 6717, 543, 667, 17584, 1058, 581, 1114, 547, 1018, 594, 6700, 1657, 910, 6148, 8919, 528, 4991, 1269, 285, 476, 274, 259, 585, 667, 6717, 267, 607, 646, 708, 27289, 1079, 1866, 286, 1107, 1109, 11321, 935, 3780, 7325, 476, 276, 1412, 1428, 693, 476, 1626, 281, 6860, 0, 258, 1215, 547, 6707, 4019, 12004, 532, 1446, 25919, 1062, 547, 5026, 25919, 543, 3094, 645, 5456, 2439, 25444, 538, 5026, 25919, 12752, 568, 6158, 827, 12004, 532, 1446, 25919, 1062, 563, 2691, 621, 2501, 547, 5026, 25919, 267, 621, 568, 3833, 2352, 547, 1265, 513, 1505, 602, 1568, 519, 5354, 540, 519, 942, 269, 594, 723, 2760, 2938, 513, 1505, 602, 5963, 1568, 543, 568, 849, 5812, 3379, 547, 519, 12004, 532, 1446, 25919, 1062, 780, 1692, 1281, 519, 12004, 532, 1446, 25919, 1062, 960, 2496, 2467, 616, 1100, 1950, 4834, 547, 27655, 1934, 282, 4896, 666, 3533, 1451, 543, 946, 519, 12004, 532, 1446, 1062, 269, 634, 1062, 1568, 1360, 1134, 952, 596, 616, 3978, 538, 5026, 25919, 780, 3674, 621, 2009, 547, 7118, 2724, 689, 13989, 543, 1118, 513, 2713, 689, 25919, 286 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 1518, 609, 5276, 2203, 454, 258, 5035, 525, 979, 547, 834, 821, 3905, 257, 10321, 607, 519, 2934, 269, 547, 3589, 267, 1491, 5207, 18176, 1362, 454, 258, 716, 1302, 649, 991, 1152, 562, 268, 272, 10321, 585, 562, 5049, 910, 568, 9494, 513, 4756, 4502, 811, 7294, 3830, 2496, 258, 20889, 883, 1079, 5049, 281, 1287, 666, 946, 2582, 3077, 4756, 609, 1341, 25773, 476, 272, 563, 3698, 19665, 10734, 2435, 6025, 1778, 6958, 3555, 267, 2530, 267, 5552, 267, 5635, 14682, 2784, 22561, 2187, 453, 258, 11907, 3898, 281, 535, 272, 267, 535, 273, 267, 535, 274, 267, 535, 275, 267, 1362, 454, 453, 258, 5035, 338, 883, 3097, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 263, 2562, 303, 7473, 318, 303, 26059, 267, 20927, 22561, 994, 453, 30221, 12774, 815, 3505, 671, 1092, 4732, 2217, 263, 2765, 284, 30221, 6958, 3555, 994, 453, 11687, 12774, 815, 3505, 671, 1092, 6155, 1886, 6025, 1778, 12774, 28827, 2020, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 318, 5035, 2305, 10734, 2435, 6025, 1778, 12774, 994, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 318, 5035, 2305, 10734, 2435, 6025, 652, 12774, 2020, 453, 30135, 815, 5721, 14682, 2784, 1304, 5091, 27853, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 2530, 267, 5552, 267, 5442, 296, 2316, 3201, 318, 4953, 288, 267, 661, 14011, 32707, 4353, 3041, 12778, 267, 661, 17269, 6224, 318, 299, 2894, 294, 8025, 267, 715, 9331, 318, 7968, 302, 6224, 306, 267, 5635, 14682, 2784, 994, 453, 335, 9438, 687, 17601, 815, 3589, 318, 15035, 318, 718, 6025, 1778, 318, 311, 318, 13774, 267, 12035, 2020, 453, 30221, 9078, 1601, 815, 2530, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 2866, 1305, 281, 834, 266, 1598, 6025, 1778, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 30221, 318, 312, 267, 11236, 17601, 1070, 7852, 815, 476, 272, 11723, 453, 335, 9438, 687, 15305, 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 568, 519, 6003, 267, 865, 782, 476, 275, 2338, 616, 2934, 454, 3698, 7941, 318, 5035, 2305, 10734, 2435, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 994, 453, 5035, 525, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 264, 1948, 928, 539, 713, 547, 1205, 676, 4994, 454, 453, 333, 815, 5049, 25915, 454, 453, 258, 271, 268, 272, 6152, 585, 1305, 6242, 610, 711, 563, 453, 312, 815, 5286, 25910, 9230, 333, 267, 272, 4917, 22610, 1775, 538, 2039, 3799, 2187, 453, 14851, 5049, 5157, 316, 2652, 834, 296, 5142, 1606, 564, 6242, 13426, 4848, 453, 312, 5157, 316, 815, 476, 272, 454, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 258, 3369, 7241, 7194, 649, 1616, 281, 6111, 3092, 3097, 3698, 7194, 10031, 16596, 692, 258, 821, 3620, 582, 8760, 883, 1614, 5049, 454, 3698, 19665, 318, 821, 318, 14653, 6025, 1778, 6958, 3555, 267, 2530, 267, 5552, 267, 5635, 14682, 2784, 22561, 2187, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 263, 2562, 303, 7473, 318, 303, 26059, 267, 20927, 22561, 994, 453, 30221, 12774, 815, 3505, 671, 1092, 4732, 2217, 263, 2765, 284, 30221, 6958, 3555, 994, 453, 11687, 12774, 815, 3505, 671, 1092, 6155, 1886, 6025, 1778, 12774, 28827, 2020, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 6025, 1778, 12774, 994, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 6025, 652, 12774, 2020, 453, 30135, 815, 5721, 14682, 2784, 1304, 5091, 27853, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 2530, 267, 5552, 267, 5442, 296, 2316, 3201, 318, 4953, 288, 267, 661, 14011, 32707, 4353, 3041, 12778, 267, 661, 17269, 6224, 318, 299, 2894, 294, 8025, 267, 715, 9331, 318, 7968, 302, 6224, 306, 267, 5635, 14682, 2784, 994, 453, 335, 9438, 687, 17601, 815, 3589, 318, 15035, 318, 718, 6025, 1778, 318, 311, 318, 13774, 267, 12035, 2020, 453, 30221, 9078, 1601, 815, 2530, 6025, 1778, 318, 311, 318, 13774, 267, 5721, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 2866, 1305, 281, 834, 266, 1598, 6025, 1778, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 30221, 318, 312, 267, 11236, 17601, 1070, 7852, 815, 476, 272, 11723, 453, 335, 9438, 687, 15305, 815, 3589, 318, 15035, 318, 718, 6025, 652, 318, 311, 318, 13774, 267, 12035, 994, 453, 11687, 9078, 1601, 815, 2530, 6025, 652, 318, 311, 318, 13774, 267, 1449, 318, 312, 267, 12035, 994, 13537, 19629, 333, 29754, 593, 1449, 1305, 281, 834, 266, 1598, 6025, 652, 9078, 1601, 4917, 13537, 2891, 13700, 3578, 910, 12605, 5602, 13537, 18828, 26769, 13906, 523, 622, 9230, 11687, 318, 312, 267, 11236, 15305, 1070, 7852, 815, 476, 272, 11723, 258, 5035, 568, 519, 6003, 267, 865, 782, 476, 275, 2338, 616, 2934, 454, 3698, 7941, 318, 5035, 2305, 318, 821, 318, 14653, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 994, 453, 5035, 525, 269, 637, 564, 16229, 5560, 1886, 18989, 267, 538, 2897, 18989, 264, 1948, 928, 539, 713, 547, 1205, 676, 4994, 454, 453, 333, 815, 5049, 25915, 454, 453, 258, 821, 3620, 582, 6152, 585, 519, 5049, 454, 453, 312, 815, 5286, 25910, 9230, 333, 267, 715, 9331, 318, 12710, 19798, 2464, 4917, 22610, 1775, 538, 2039, 3799, 2187, 453, 453, 8161, 815, 14160, 19798, 318, 2793, 300, 2464, 28827, 263, 5035, 525, 5157, 7481, 453, 453, 312, 5157, 6012, 8161, 316, 815, 476, 272, 454, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 9239, 258, 13774, 7757, 1106, 585, 9273, 609, 9186, 281, 1039, 513, 6241, 540, 476, 272, 693, 519, 4098, 454, 258, 13092, 568, 513, 11885, 476, 273, 323, 5044, 454, 3698, 32433, 263, 13092, 2187, 453, 2169, 571, 815, 5286, 269, 2158, 9230, 13092, 17482, 314, 271, 3910, 272, 4917, 16596, 5286, 26769, 13906, 523, 622, 9230, 2169, 571, 267, 3312, 1070, 7852, 815, 476, 272, 2020, 258, 548, 1511, 14633, 13050, 1449, 281, 3589, 835, 1448, 1448, 609, 2203, 8036, 593, 782, 824, 2798, 454, 258, 4777, 713, 593, 782, 2798, 267, 1867, 3328, 7194, 454, 3698, 4734, 318, 821, 318, 719, 263, 995, 671, 1092, 2187, 453, 995, 671, 1092, 815, 19073, 18667, 32269, 2891, 597, 529, 21606, 2580, 20927, 22561, 994, 22610, 1775, 538, 3505, 671, 1092, 28827, 912, 453, 453, 992, 815, 3505, 671, 1092, 7456, 665, 314, 314, 328, 14963, 1948, 603, 4737, 269, 1327, 5157, 316, 2306, 621, 513, 6241, 267, 1327, 314, 314, 328, 14963, 2306, 4737, 454, 453, 453, 6135, 815, 3505, 671, 1092, 6155, 1886, 263, 995, 671, 1092, 28827, 5157, 8079, 1948, 4958, 5281, 513, 5299, 609, 4737, 6569, 267, 1281, 711, 1860, 3312, 692, 453, 453, 30221, 318, 311, 318, 13774, 267, 5721, 318, 312, 815, 7941, 6958, 324, 1155, 9078, 8475, 263, 6135, 994, 453, 453, 11687, 318, 311, 318, 13774, 267, 1449, 318, 312, 815, 7941, 6958, 324, 1155, 9078, 8475, 21405, 2020, 258, 20889, 1239, 18134, 883, 1535, 543, 586, 2694, 267, 32433, 1535, 454, 3698, 7941, 6958, 324, 1155, 9078, 8475, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 264, 1948, 9690, 569, 711, 1210, 713, 454, 453, 312, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 274, 21875, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 258, 10623, 1155, 568, 1101, 476, 273, 2338, 267, 6003, 568, 1985, 476, 273, 269, 1869, 6749, 519, 8768, 5049, 454, 258, 10623, 2137, 11837, 676, 967, 525, 281, 476, 271, 267, 272, 9847, 476, 273, 267, 274, 453, 5976, 476, 275, 23987, 454, 3698, 7941, 318, 273, 6958, 324, 1155, 318, 273, 9078, 8475, 16597, 2187, 453, 5035, 525, 815, 1239, 21014, 263, 275, 264, 1948, 9690, 569, 711, 1210, 713, 454, 453, 312, 318, 273, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 274, 21875, 453, 312, 318, 272, 815, 547, 318, 273, 323, 22674, 4379, 318, 11355, 18828, 15126, 16597, 21014, 263, 273, 21875, 453, 312, 815, 5286, 26769, 13906, 523, 622, 9230, 312, 318, 272, 267, 312, 318, 273, 1070, 7852, 815, 476, 272, 994, 453, 311, 815, 5286, 15126, 16597, 994, 453, 311, 318, 13774, 815, 32433, 11583, 994, 16596, 630, 311, 318, 13774, 267, 962, 2020, 3698, 1292, 10031, 453, 258, 338, 17532, 15305, 17601, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 10230, 14682, 2784, 1304, 15058, 263, 11743, 5334, 32464, 9078, 1601, 318, 30135, 1070, 5635, 14682, 2784, 815, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 338, 17532, 15305, 17601, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 18314, 5332, 10179, 673, 4671, 1173, 1115, 318, 2958, 1833, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 10230, 14682, 2784, 1304, 15058, 9852, 738, 328, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 4297, 258, 267, 5635, 14682, 2784, 815, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 994, 453, 258, 18314, 5332, 10179, 673, 4671, 1173, 1115, 318, 2958, 1833, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 267, 5635, 14682, 2784, 815, 10230, 14682, 2784, 1304, 15058, 9852, 738, 328, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 4917, 453, 258, 5035, 1518, 10734, 2435, 263, 271, 269, 278, 267, 1611, 5334, 32464, 9078, 1601, 318, 30135, 267, 1611, 5334, 32464, 14682, 2784, 1304, 994, 453, 5035, 1518, 318, 821, 318, 14653, 263, 271, 269, 278, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 9078, 1601, 318, 30135, 267, 3818, 4671, 13759, 318, 11743, 5334, 32464, 14682, 2784, 1304, 994, 0, 5228, 546, 831, 19668, 1104, 27661, 852, 815, 942, 6155, 520, 8135, 269, 852, 4590, 327, 712, 815, 1631, 19544, 712, 454, 604, 5662, 2999, 476, 1321, 912, 825, 1820, 2891, 14187, 6640, 5602, 19197, 5662, 3436, 476, 1321, 543, 5662, 2999, 476, 1240, 912, 825, 1820, 2891, 14187, 12784, 5602, 19197, 5662, 3436, 476, 1240, 543, 5662, 2999, 476, 866, 912, 825, 1820, 2891, 14187, 10543, 5602, 12828, 912, 825, 1820, 3488, 5970, 513, 8799, 3781, 9538, 2020, 3698, 3813, 1722, 1399, 10031, 825, 1820, 2891, 7666, 1841, 616, 1750, 6362, 707, 1286, 10371, 5602, 825, 1104, 942, 454, 825, 942, 4732, 2748, 263, 273, 994, 5913, 1722, 1399, 4590, 3698, 3556, 10031, 825, 1104, 942, 454, 825, 513, 815, 3403, 3488, 339, 820, 519, 19044, 726, 338, 4877, 816, 1022, 1883, 543, 4283, 547, 3136, 281, 30386, 15258, 4590, 3698, 18736, 10031, 825, 536, 815, 3403, 3488, 5257, 454, 825, 519, 1152, 6288, 902, 616, 693, 912, 825, 513, 4877, 1046, 532, 2603, 476, 2537, 454, 825, 536 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 7830, 264, 5602, 19387, 20216, 31146, 16868, 257, 12133, 883, 3593, 2418, 18011, 288, 268, 19740, 3299, 1412, 299, 13453, 3299, 476, 4281, 264, 5602, 19387, 25379, 4590, 935, 333, 2593, 2466, 4590, 935, 333, 25379, 10797, 3698, 1205, 23962, 18425, 263, 869, 267, 14683, 2187, 453, 258, 1412, 476, 13213, 498, 18713, 508, 418, 490, 485, 27936, 26166, 12255, 25060, 374, 25426, 368, 7511, 12571, 491, 21211, 8147, 418, 490, 487, 26166, 12255, 10524, 492, 12916, 492, 28996, 421, 360, 502, 26406, 496, 31365, 1412, 454, 453, 339, 787, 912, 453, 453, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 11687, 6155, 321, 5073, 453, 453, 19387, 815, 598, 333, 269, 19387, 4590, 453, 453, 258, 17276, 487, 356, 27310, 418, 509, 354, 13644, 351, 13644, 511, 9463, 354, 912, 453, 453, 19387, 20216, 31146, 3488, 572, 937, 2608, 689, 3593, 1141, 7790, 27045, 6060, 543, 6060, 10922, 286, 1931, 676, 6060, 10841, 3299, 263, 869, 267, 14683, 4917, 453, 453, 258, 29635, 492, 371, 23523, 501, 418, 509, 354, 13644, 351, 14756, 497, 31563, 421, 505, 484, 912, 453, 453, 11161, 815, 23684, 8807, 21255, 718, 4590, 453, 21955, 1401, 4003, 607, 552, 912, 453, 13537, 16216, 994, 28432, 912, 453, 13537, 3488, 935, 333, 568, 21453, 30386, 453, 325, 3373, 912, 453, 453, 19387, 25379, 4590, 453, 453, 935, 333, 25379, 3890, 28768, 16596, 1496, 328, 314, 272, 316, 585, 1775, 538, 2418, 6540, 258, 17276, 369, 489, 13644, 499, 912, 16386, 1205, 23962, 18425, 263, 3199, 267, 476, 4817, 264, 2652, 18358, 3849, 600, 28710, 1205, 23962, 18425, 263, 3199, 267, 476, 4817, 994, 16386, 1205, 23962, 18425, 263, 2568, 267, 476, 3199, 264, 2652, 18358, 289, 691, 3299, 1412, 299, 13453, 28710, 1205, 23962, 18425, 263, 2568, 267, 476, 3199, 994, 16386, 1205, 23962, 18425, 263, 2568, 267, 476, 1911, 264, 2652, 18358, 289, 691, 3299, 1412, 299, 13453, 3299, 1412, 3849, 600, 28710, 1205, 23962, 18425, 263, 2568, 267, 476, 1911, 2020, 2745, 3488, 27879, 17210, 0, 5814, 1770, 11687, 454, 5228, 17511, 1104, 16515, 921, 692, 7246, 311, 318, 303, 8582, 2207, 815, 476, 736, 692, 3698, 28550, 15461, 16062, 31856, 7272, 1077, 6025, 2830, 281, 10581, 264, 9847, 16515, 921, 27776, 267, 703, 28660, 825, 1219, 1379, 6025, 2830, 281, 10581, 264, 9847, 703, 912, 1038, 1379, 23631, 9134, 815, 10790, 311, 318, 303, 8582, 2207, 2608, 28550, 454, 1038, 2132, 703, 263, 7246, 311, 318, 303, 8582, 2207, 910, 1379, 23631, 9134, 2020, 825, 2451, 4671, 2830, 476, 815, 910, 2381, 6025, 2830, 267, 476, 271, 994, 825, 1318, 4671, 2830, 815, 3193, 6025, 2830, 267, 476, 271, 994, 825, 2451, 7272, 1077, 476, 815, 1379, 263, 3847, 4671, 2830, 994, 825, 1318, 7272, 1077, 815, 1379, 263, 2431, 4671, 2830, 994, 825, 2132, 2451, 7272, 1077, 267, 1318, 7272, 1077, 692, 1721, 562, 538, 2039, 8987, 1015, 267, 476, 1556, 267, 476, 273, 2187, 825, 28550, 815, 562, 1315, 476, 1015, 269, 271, 454, 825, 1820, 6025, 2830, 267, 28550, 15461, 16062, 31856, 7272, 1077, 6025, 2830, 11723, 325, 815, 28550, 15461, 16062, 31856, 7272, 1077, 692, 5035, 4530, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 825, 1219, 1449, 14067, 571, 697, 4311, 2187, 1038, 1582, 27863, 6600, 263, 271, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 20189, 2788, 318, 3847, 4311, 2187, 1038, 1582, 27863, 6600, 8987, 271, 269, 276, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 1315, 476, 273, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 318, 3847, 4311, 2187, 1038, 1582, 27863, 6600, 8987, 272, 1070, 630, 271, 267, 10790, 311, 318, 303, 8582, 2207, 11723, 825, 1219, 1449, 20189, 2788, 318, 2431, 4311, 2187, 1038, 1582, 27863, 6600, 263, 271, 269, 276, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 10790, 311, 318, 303, 8582, 2207, 1315, 476, 273, 11723, 825, 1219, 1449, 318, 2431, 4311, 2187, 1038, 1582, 27863, 6600, 263, 272, 1070, 630, 7246, 311, 318, 303, 8582, 2207, 267, 476, 271, 4917 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 3848, 476, 278, 281, 21091, 28814, 5004, 538, 29972, 543, 2052, 10109, 529, 4980, 10474, 692, 5970, 596, 2479, 1185, 10860, 28117, 707, 4677, 286, 9320, 930, 26240, 5652, 12961, 4956, 602, 707, 4190, 5388, 941, 741, 1985, 7594, 256, 4270, 267, 972, 781, 513, 1259, 547, 4308, 609, 891, 13311, 8436, 1247, 1373, 2186, 547, 938, 1604, 910, 621, 781, 1572, 21091, 28814, 5004, 630, 7709, 300, 1040, 2913, 781, 4685, 883, 713, 4241, 1158, 543, 1294, 875, 649, 666, 1831, 15705, 22254, 2439, 4089, 476, 272, 281, 1548, 568, 7379, 300, 2496, 5331, 2348, 513, 2319, 540, 3713, 1161, 945, 960, 1927, 547, 1832, 707, 2371, 2922, 855, 1810, 1405, 2014, 2800, 547, 824, 2713, 7068, 610, 519, 4541, 269, 2334, 781, 4010, 1018, 7379, 300, 1281, 256, 898, 781, 513, 4640, 602, 3096, 1455, 2631, 543, 2413, 2029, 547, 4383, 10860, 3927, 269, 5502, 540, 1175, 1025, 8463, 873, 609, 6464, 899, 513, 3552, 7178, 521, 615, 858, 267, 7379, 300, 2337, 721, 1174, 1946, 10860, 1397, 909, 543, 11414, 721, 1114, 2081, 547, 1852, 873, 780, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 7379, 300, 2496, 3086, 596, 1522, 4898, 267, 834, 3963, 798, 594, 991, 547, 1451, 827, 7379, 300, 286, 645, 13903, 616, 14407, 10590, 1809, 1934, 781, 519, 3364, 281, 1210, 1932, 1082, 6464, 666, 10413, 811, 982, 1175, 519, 3983, 16921, 269, 1358, 666, 849, 1860, 824, 2831, 267, 1004, 267, 543, 1256, 519, 3037, 3294, 256, 1635, 8026, 7379, 300, 267, 649, 666, 1711, 8902, 10651, 267, 2149, 6000, 543, 1866, 267, 543, 8190, 2470, 781, 10347, 3666, 269, 9578, 267, 5329, 1919, 3039, 543, 4264, 5036, 513, 1390, 1383, 585, 3025, 1472, 721, 780, 4089, 476, 274, 281, 1215, 6496, 7379, 300, 4518, 2496, 5978, 7379, 300, 19792, 27805, 5205, 2185, 3268, 547, 4194, 1022, 11641, 1966, 1384, 3721, 476, 272, 281, 10576, 519, 10546, 269, 18833, 799, 11641, 814, 22983, 707, 8513, 568, 2629, 1317, 1114, 10860, 2154, 1585, 2994, 269, 6884, 789, 949, 711, 1256, 581, 10860, 1107, 789, 1223, 581, 5363, 7786, 610, 2067, 11975, 256, 1924, 2322, 593, 707, 3206, 1698, 543, 1577, 781, 4137, 856, 945, 781, 4929, 782, 519, 535, 1380, 780, 3721, 476, 273, 281, 5590, 2962, 29676, 269, 6969, 17259, 883, 6370, 267, 6430, 950, 621, 781, 942, 547, 1491, 2962, 269, 2991, 782, 267, 513, 1906, 30065, 12961, 5749, 1405, 4502, 9561, 3207, 936, 256, 17553, 7182, 5849, 602, 649, 1152, 26544, 950, 2556, 267, 4227, 11991, 946, 540, 8060, 780, 3721, 476, 274, 281, 7994, 519, 1655, 2359, 2553, 269, 3767, 2501, 519, 1187, 851, 256, 1703, 616, 7899, 540, 10357, 7888, 2409, 547, 3442, 689, 267, 971, 607, 2168, 7496, 267, 20637, 267, 561, 999, 267, 543, 7874, 1814, 1562, 899, 14799, 30471, 543, 20151, 269, 4634, 1216, 267, 1769, 267, 3002, 267, 543, 3280, 666, 948, 1832, 10860, 2476, 256, 5457, 267, 3006, 3257, 4986, 693, 782, 568, 519, 1655, 4781, 2094, 2470, 1419, 3217, 1416, 540, 2042, 593, 922, 1378, 780, 3721, 476, 275, 281, 21414, 519, 2164, 269, 3776, 2816, 3884, 1405, 2944, 2899, 649, 4312, 6074, 513, 4480, 269, 1284, 1590, 6895, 519, 3510, 5702, 547, 2327, 938, 1544, 1568, 269, 1403, 711, 267, 649, 979, 1394, 547, 1900, 835, 543, 2119, 1586, 2394, 11802, 568, 23600, 2439, 4089, 476, 275, 281, 32027, 7379, 300, 20553, 11059, 692, 4131, 781, 3142, 713, 1702, 547, 1272, 676, 3695, 875, 7379, 300, 10039, 547, 17089, 14713, 269, 2755, 15267, 1522, 3100, 899, 513, 6738, 5346, 1888, 267, 1620, 922, 1747, 1369, 12202, 666, 8141, 7279, 543, 8300, 3743, 5079, 2663, 538, 1272, 269, 3807, 899, 1022, 2030, 267, 17089, 8188, 10860, 543, 3676, 602, 21279, 2208, 269, 4635, 7379, 300, 3741, 267, 25210, 2824, 519, 1034, 2500, 2943, 13476, 6213, 3435, 547, 2226, 2635, 7031, 269, 901, 2640, 1312, 6800, 3168, 585, 1164, 7779, 2472, 543, 12624, 3047, 9887, 2439, 2026, 2104, 25330, 540, 938, 4541, 267, 1565, 827, 7379, 300, 1631, 22316, 596, 547, 10994, 1483, 8996, 2591, 609, 6015, 543, 8296, 269, 2060, 1169, 17079, 4857, 543, 1142, 11641, 7307, 19100, 267, 596, 2811, 4742, 606, 1898, 6345, 538, 8497, 9265, 543, 2870, 513, 22928, 14182, 269, 10158, 547, 979, 267, 27503, 3235, 6048, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 16215, 24163, 3194, 7433, 454, 268, 13379, 281, 476, 1556, 260, 540, 1576, 3446, 454, 268, 9603, 281, 13638, 267, 476, 6860, 270, 1240, 270, 1708, 274, 476, 1556, 281, 6795, 6751, 630, 290, 4306, 994, 9743, 15297, 6962, 543, 17593, 10287, 519, 8846, 2630, 585, 519, 12032, 540, 519, 3932, 543, 7493, 7084, 585, 5149, 24163, 269, 1403, 596, 723, 2055, 267, 5225, 4757, 707, 7548, 585, 6351, 10422, 17123, 281, 634, 3483, 540, 713, 7084, 568, 547, 2347, 707, 4081, 12819, 1382, 1957, 269, 20373, 281, 769, 713, 7084, 267, 596, 786, 1101, 2328, 707, 3932, 282, 1287, 267, 596, 786, 2328, 707, 7493, 269, 634, 1739, 3334, 616, 4170, 540, 519, 7084, 912, 268, 4860, 529, 527, 519, 15784, 563, 268, 22716, 1125, 519, 3978, 1145, 540, 519, 15784, 563, 268, 8382, 519, 968, 3383, 1018, 9495, 2243, 563, 268, 21909, 513, 2489, 3070, 630, 28436, 1916, 268, 11910, 585, 4656, 270, 9146, 563, 268, 23680, 519, 5467, 609, 513, 3803, 2219, 563, 20082, 281, 1280, 713, 7084, 267, 707, 3932, 543, 7493, 1590, 581, 693, 2547, 835, 2985, 538, 3259, 563, 268, 10163, 622, 618, 540, 519, 15784, 630, 821, 547, 1079, 5220, 994, 268, 2659, 5098, 630, 821, 4845, 994, 268, 30258, 630, 22764, 547, 2185, 2366, 324, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 18204, 3603, 28814, 5004, 630, 7709, 300, 17983, 607, 851, 540, 834, 294, 19181, 2894, 5058, 1315, 631, 15097, 4980, 10474, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 4197, 9839, 23299, 5004, 281, 589, 6733, 693, 14044, 6435, 619, 692, 5970, 596, 2479, 4862, 540, 2295, 5821, 286, 3143, 267, 621, 3085, 1405, 1611, 707, 2295, 13515, 2324, 4625, 269, 5502, 267, 2295, 5821, 4523, 950, 707, 2295, 3884, 1405, 2111, 547, 6802, 1973, 607, 1134, 607, 621, 1058, 269, 901, 666, 1291, 547, 1082, 2042, 1317, 707, 1560, 2115, 5135, 543, 5567, 602, 616, 5645, 998, 707, 1973, 269, 1879, 707, 2295, 666, 1405, 6802, 2614, 1973, 267, 891, 30304, 1810, 1405, 1205, 1141, 789, 991, 547, 979, 780, 3086, 4952, 2348, 513, 2783, 899, 2295, 5821, 950, 596, 2097, 689, 513, 1970, 13867, 4282, 269, 898, 1223, 1831, 3833, 4101, 2094, 1004, 609, 2295, 5821, 1419, 723, 2362, 8458, 540, 13059, 547, 519, 6413, 269, 1452, 7928, 11564, 1522, 2014, 2566, 585, 1312, 519, 1268, 945, 779, 796, 6202, 543, 741, 6068, 3283, 269, 2334, 781, 1946, 4466, 2081, 547, 4383, 2295, 5821, 3927, 3587, 1256, 811, 2565, 780, 3080, 1259, 930, 10506, 616, 4543, 2550, 1732, 6023, 2295, 5821, 568, 676, 1210, 1945, 1572, 968, 1345, 13282, 1848, 8682, 13282, 1797, 2921, 3268, 547, 1491, 1434, 1416, 540, 3054, 865, 596, 666, 3251, 2635, 269, 1280, 2576, 609, 2295, 5821, 267, 1582, 13282, 2882, 1919, 899, 8384, 1018, 596, 3548, 267, 20604, 3054, 3232, 267, 19551, 6527, 267, 543, 9363, 3742, 269, 1809, 3006, 1565, 782, 891, 1007, 1983, 666, 1745, 11566, 256, 29836, 363, 692, 6546, 781, 1141, 2029, 2501, 883, 1404, 256, 2368, 13085, 8186, 3357, 909, 609, 513, 9735, 2856, 1765, 6748, 7874, 5691, 3425, 547, 4001, 2295, 5821, 1582, 13282, 1210, 513, 5985, 813, 269, 5994, 2348, 513, 5363, 3659, 2713, 538, 707, 6049, 945, 6487, 3388, 827, 5883, 2295, 5821, 256, 1358, 666, 2626, 2055, 267, 1683, 4388, 267, 7618, 596, 827, 1199, 338, 267, 543, 5000, 596, 1169, 1554, 269, 1215, 3579, 1131, 602, 581, 26834, 9462, 502, 492, 692, 1607, 5499, 5985, 3498, 267, 3957, 1775, 29587, 308, 267, 6663, 547, 4497, 2550, 609, 2295, 5821, 538, 1187, 267, 7317, 2238, 547, 1451, 543, 2259, 1582, 13282, 269, 1635, 1818, 1582, 13282, 11791, 267, 3755, 786, 2693, 6529, 547, 741, 13467, 3476, 267, 3056, 547, 4824, 1072, 4093, 269, 1656, 7058, 1018, 286, 4635, 971, 606, 813, 6971, 1022, 25254, 10509, 7496, 543, 8952, 3790, 1524, 1247, 5356, 606, 5863, 569, 2067, 1995, 15025, 609, 519, 3593, 780, 4131, 803, 5862, 513, 4605, 540, 875, 713, 1522, 1413, 281, 835, 1554, 267, 12756, 7959, 8049, 827, 1200, 8192, 9993, 269, 2701, 10741, 519, 1775, 29587, 308, 813, 543, 6238, 10004, 1154, 609, 1200, 5691, 14609, 344, 267, 834, 10870, 778, 25562, 1701, 12756, 12134, 267, 834, 3963, 666, 1405, 594, 3548, 30644, 3536, 8119, 3213, 778, 25562, 30491, 267, 834, 15124, 2243, 256, 14856, 1932, 1454, 6070, 2306, 707, 1560, 11677, 1216, 799, 12662, 3063, 2604, 593, 707, 2907, 10010, 2295, 269, 2913, 781, 1265, 26345, 10346, 1927, 602, 3970, 9770, 10590, 3767, 12756, 814, 4121, 1945, 3407, 6730, 1336, 513, 17705, 7594, 4781, 256, 9462, 491, 368, 692, 4415, 2645, 899, 1775, 29587, 308, 267, 649, 666, 7668, 3214, 899, 9358, 547, 1174, 1950, 2564, 2175, 543, 2671, 713, 1344, 609, 2828, 543, 1920, 2818, 269, 1924, 1985, 942, 596, 5873, 827, 2295, 5821, 610, 824, 10108, 267, 3314, 602, 972, 616, 2141, 3860, 3435, 856, 972, 547, 1489, 3025, 3238, 269, 5808, 6785, 5883, 938, 12271, 1223, 581, 1500, 4443, 609, 513, 2370, 3059, 9059, 26834, 32273, 357, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25889, 281, 9839, 5821, 630, 295, 293, 264, 3123, 1713, 2804, 543, 1480, 2065, 11411, 585, 2550, 543, 741, 3885, 267, 2523, 1346, 609, 513, 1970, 4747, 267, 14356, 1813, 547, 1164, 6413, 1224, 3939, 3928, 269, 8838, 2711, 1582, 13282, 568, 2808, 606, 1271, 1875, 874, 29108, 1670, 2460, 540, 670, 293, 2359, 602, 666, 2087, 1072, 4093, 269, 24021, 2963, 5267, 602, 1582, 31193, 19443, 676, 16335, 8924, 949, 2569, 556, 327, 2214, 1388, 1436, 3928, 543, 2087, 519, 2298, 540, 1272, 540, 2550, 269, 1284, 2919, 513, 5691, 1480, 1700, 817, 13554, 267, 3461, 19721, 5985, 1072, 813, 630, 328, 29587, 308, 264, 585, 2550, 609, 670, 293, 547, 3986, 741, 6278, 538, 1582, 31193, 543, 2087, 741, 2792, 609, 1072, 1416, 7426, 543, 1920, 15637, 269, 1775, 29587, 308, 949, 948, 2550, 609, 670, 293, 538, 1582, 31193, 547, 2569, 519, 2930, 1702, 543, 32636, 11064, 1247, 4509, 513, 1970, 1942, 543, 2067, 267, 2500, 1514, 5872, 609, 519, 3593, 563, 29020, 281, 2060, 513, 13387, 9836, 32636, 4879, 267, 713, 1353, 1185, 1079, 6859, 281, 630, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29587, 23299, 5004, 257, 607, 851, 540, 834, 25503, 1315, 9315, 5735, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 28518, 12567, 13437, 543, 11773, 542, 31896, 538, 17164, 762, 25052, 692, 296, 269, 4985, 692, 294, 731, 2287, 3340, 9639, 267, 11428, 267, 543, 16994, 8343, 269, 634, 8574, 540, 942, 2636, 721, 547, 2708, 938, 10651, 262, 3356, 543, 2697, 2127, 602, 991, 6454, 269, 901, 3184, 6212, 593, 10442, 10448, 4677, 2773, 543, 7598, 19588, 9544, 2994, 269, 1635, 6313, 519, 1646, 540, 707, 5388, 543, 1818, 5483, 3664, 827, 7693, 10047, 543, 4562, 13589, 267, 596, 666, 11126, 11729, 543, 2226, 3037, 12680, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]