SmallDoge/decay_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 946, 5097, 700, 7582, 585, 741, 1279, 688, 592, 11507, 269, 700, 7582, 568, 3956, 4094, 923, 543, 3340, 2027, 4859, 543, 7829, 563, 10861, 294, 3568, 4412, 2033, 543, 855, 2033, 700, 7582, 3568, 15655, 454, 10170, 267, 1911, 31641, 308, 829, 20645, 540, 700, 7582, 563, 553, 519, 561, 978, 568, 711, 11593, 2139, 607, 899, 595, 7582, 607, 519, 561, 978, 568, 711, 11593, 2139, 607, 899, 595, 7582, 0, 763, 7147, 14130, 814, 5293, 513, 3915, 602, 1131, 3970, 3450, 1978, 3584, 267, 16113, 1346, 602, 31721, 1472, 5198, 543, 10168, 269, 634, 16786, 6221, 729, 835, 540, 476, 1556, 4773, 540, 9086, 29583, 269, 15535, 2806, 321, 2714, 7074, 950, 646, 1572, 585, 513, 2027, 8400, 538, 2038, 5147, 563, 25938, 622, 9291, 476, 274, 2829, 602, 513, 834, 974, 12329, 949, 711, 581, 25997, 547, 1865, 513, 1880, 1699, 2680, 610, 4922, 23503, 543, 4867, 11786, 3390, 540, 1857, 3609, 610, 1514, 12602, 4799, 763, 3915, 568, 513, 1246, 5346, 547, 606, 2907, 5293, 5600, 3915, 602, 2806, 321, 2714, 9896, 538, 2904, 269, 7324, 519, 2242, 538, 590, 289, 476, 274, 568, 519, 8851, 540, 513, 4704, 547, 519, 27173, 918, 12999, 918, 17427, 1373, 834, 332, 528, 958, 4636, 257, 689, 5600, 9291, 476, 4375, 278, 280, 267, 799, 568, 1305, 547, 1831, 1876, 538, 5181, 563, 3719, 609, 811, 982, 476, 2568, 5600, 24273, 8840, 844, 28262, 538, 3210, 547, 7903, 585, 811, 25516, 13359, 4031, 267, 590, 289, 476, 274, 568, 8572, 547, 581, 4547, 909, 585, 4901, 538, 519, 5600, 267, 6028, 922, 2104, 538, 1929, 2692, 563, 4692, 7147, 24273, 581, 18486, 286, 2052, 7147, 24273, 581, 18486, 585, 7904, 4370, 519, 1533, 286, 1548, 1281, 621, 1611, 585, 519, 2027, 8400, 888, 2080, 781, 1018, 649, 917, 827, 519, 1699, 1876, 543, 1018, 8574, 540, 519, 1007, 3915, 1131, 1611, 563, 307, 1410, 553, 543, 1412, 322, 15560, 5198, 3069, 7055, 763, 4890, 3069, 2488, 513, 5943, 585, 1620, 875, 7292, 13103, 2919, 543, 22036, 563, 763, 2278, 540, 670, 289, 476, 4375, 278, 280, 267, 3115, 269, 19378, 570, 1054, 267, 681, 268, 763, 8381, 4133, 267, 5143, 5600, 2818, 602, 2565, 5198, 3069, 7947, 338, 834, 1492, 4341, 540, 513, 1876, 607, 513, 24320, 1047, 585, 519, 25796, 4690, 540, 513, 27581, 3043, 25160, 659, 626, 1977, 2486, 4799, 257, 295, 289, 476, 4375, 278, 280, 568, 827, 3450, 7292, 10103, 676, 10213, 519, 5168, 602, 649, 616, 782, 3160, 267, 1312, 538, 2696, 781, 4064, 543, 938, 15713, 6054, 2437, 646, 3773, 563, 307, 1054, 6069, 993, 2056, 519, 3915, 547, 2154, 602, 8474, 543, 10168, 547, 581, 17814, 607, 20729, 1023, 540, 267, 543, 24017, 689, 267, 519, 15713, 3741, 540, 519, 2136, 2276, 538, 4928, 5528, 563, 19602, 267, 590, 289, 476, 274, 267, 6069, 676, 7354, 269, 21563, 534, 24806, 267, 681, 5336, 710, 7637, 267, 1163, 2432, 593, 602, 2856, 1247, 9427, 8100, 547, 519, 918, 298, 298, 563, 295, 289, 476, 4375, 278, 280, 5288, 269, 590, 289, 476, 274, 281, 9752, 827, 8474, 543, 10168, 609, 267, 1510, 3043, 29686, 454, 763, 5293, 5600, 3915, 729, 29567, 676, 24273, 547, 2154, 3450, 547, 1331, 519, 1739, 543, 1082, 824, 6054, 912, 763, 15713, 6054, 540, 519, 2136, 2276, 267, 1519, 519, 8549, 626, 4574, 543, 519, 13973, 540, 519, 1101, 12493, 5937, 537, 6921, 553, 7521, 454, 310, 761, 902, 689, 19291, 30463, 262, 11356, 267, 634, 3345, 10060, 454, 763, 3883, 540, 27740, 525, 454, 763, 674, 1872, 1438, 32013, 20450, 540, 476, 9692, 274, 543, 476, 6977, 271, 454, 763, 4095, 31203, 2920, 454, 24171, 16962, 779, 4484, 547, 519, 8355, 12064, 19097, 1235, 454, 19365, 12846, 779, 26789, 21805, 19475, 454, 295, 289, 476, 4375, 278, 280, 1131, 2154, 602, 834, 7290, 5566, 6054, 1644, 547, 519, 18523, 18517, 540, 12790, 5095, 257, 581, 6026, 6466, 590, 289, 476, 274, 3568, 1100, 971, 11865, 269, 8409, 6054, 1331, 912, 32354, 13162, 3751, 12789, 10200, 338, 834, 4131, 614, 689, 513, 27257, 808, 841, 257, 543, 834, 296, 5620, 513, 14134, 257, 4633, 454, 763, 772, 2529, 269, 10966, 7040, 779, 3375, 538, 9466, 642, 269, 8274, 540, 4065, 267, 799, 3964, 1153, 17478, 607, 796, 6247, 6627, 454, 763, 590, 5500, 1457, 2920, 540, 476, 4572, 275, 267, 799, 11292, 15114, 547, 6805, 1004, 610, 7111, 4892, 454, 763, 661, 2006, 322, 11692, 1160, 17474, 267, 799, 15685, 10437, 454, 763, 17629, 16672, 540, 5274, 7126, 454, 763, 476, 2918, 628, 13338, 17203, 267, 799, 1500, 519, 13359, 2085, 476, 1240, 1296, 2025, 454, 763, 772, 2529, 269, 7040, 540, 2561, 324, 1023, 585, 519, 715, 12764, 18065, 3375, 538, 21780, 14162, 642, 269, 31689, 267, 513, 1153, 964, 1122, 12198, 2013, 856, 540, 4993, 543, 24888, 547, 9466, 642, 269, 8274, 540, 4065, 454, 293, 1042, 15104, 30463, 779, 21931, 540, 519, 5020, 540, 19291, 30463, 267, 606, 1977, 32013, 454, 763, 1272, 543, 960, 540, 595, 14008, 932, 1511, 345, 454, 763, 1272, 543, 960, 540, 26541, 2803, 13535, 1068, 320, 454, 763, 834, 20931, 543, 2956, 540, 519, 2021, 779, 27049, 3350, 257, 547, 2744, 519, 1318, 547, 8917, 267, 1519, 519, 16672, 540, 13329, 9323, 543, 12591, 676, 19626, 645, 269, 20900, 543, 2806, 580, 841, 17566, 454, 763, 1272, 543, 1568, 540, 3220, 269, 670, 10725, 623, 269, 25661, 807, 267, 513, 7147, 3540, 2924, 12167, 543, 13653, 540, 519, 22542, 17072, 454, 763, 1977, 22542, 17072, 267, 799, 23647, 585, 519, 2924, 540, 3571, 3966, 923, 267, 3226, 585, 18884, 454, 295, 1716, 663, 14162, 642, 269, 7147, 267, 513, 19506, 3540, 2924, 2013, 4180, 1813, 1184, 585, 782, 6803, 543, 7292, 2516, 454, 8867, 6558, 540, 2136, 5824, 1977, 22893, 267, 519, 1101, 18487, 11204, 1977, 3540, 2924, 3919, 454, 295, 289, 476, 4375, 278, 280, 849, 1131, 2154, 3450, 834, 1492, 1686, 540, 3043, 29686, 267, 1519, 855, 711, 3908, 547, 519, 9872, 540, 8474, 267, 519, 552, 1872, 523, 923, 3350, 267, 543, 519, 27173, 918, 12999, 918, 17427, 267, 543, 519, 2081, 538, 799, 621, 568, 25432, 4636, 4799, 763, 1592, 540, 1018, 6054, 590, 289, 476, 274, 1131, 2154, 547, 581, 6026, 568, 16113, 10156, 912, 763, 13973, 540, 519, 1101, 12493, 5937, 537, 6921, 553, 7521, 563, 763, 8549, 6406, 7126, 2920, 540, 476, 3422, 275, 563, 763, 476, 1724, 628, 14821, 547, 519, 9139, 267, 799, 27618, 8474, 563, 763, 476, 1691, 628, 14821, 267, 799, 5795, 5449, 10437, 15114, 543, 519, 1318, 547, 8917, 563, 763, 476, 866, 628, 14821, 267, 799, 11292, 2021, 519, 1318, 547, 8917, 563, 763, 8978, 2078, 1063, 7147, 543, 6792, 543, 968, 1492, 4763, 540, 519, 17104, 2551, 538, 7147, 3034, 5278, 524, 643, 923, 1983, 971, 607, 519, 2702, 547, 968, 323, 9057, 710, 519, 10727, 540, 1344, 2959, 3034, 1432, 670, 289, 476, 4375, 278, 280, 543, 590, 289, 476, 274, 723, 538, 1455, 454, 27066, 547, 552, 1872, 523, 923, 543, 519, 918, 298, 298, 5749, 1405, 3769, 538, 590, 289, 476, 274, 267, 855, 1312, 12014, 17246, 573, 891, 3584, 689, 1373, 5941, 912, 6546, 835, 5198, 610, 3023, 568, 20244, 9120, 547, 1776, 454, 2304, 1367, 267, 676, 16495, 540, 741, 5198, 610, 3023, 267, 568, 20244, 22457, 267, 3023, 626, 610, 26568, 267, 2436, 29596, 610, 796, 4621, 19290, 454, 2304, 1367, 781, 5837, 1915, 666, 581, 5462, 676, 741, 5198, 610, 3023, 454, 2304, 1367, 12217, 5539, 585, 3527, 8149, 538, 519, 2250, 676, 824, 2818, 540, 741, 5198, 610, 3023, 454, 2304, 1367, 1058, 1745, 9636, 267, 16203, 267, 2587, 340, 880, 267, 610, 1022, 824, 1106, 540, 5626, 11605, 593, 2272, 540, 741, 5198, 610, 3023, 454, 763, 2418, 540, 20519, 7100, 543, 2182, 960, 616, 22457, 610, 3023, 626, 610, 941, 2813, 676, 2818, 540, 513, 1880, 5198, 547, 1727, 816, 2818, 540, 1776, 5198, 454, 763, 4417, 540, 8474, 538, 519, 2136, 2276, 27648, 519, 3020, 15713, 540, 519, 4182, 454, 306, 18561, 543, 10168, 616, 4376, 824, 982, 24017, 689, 267, 20729, 1023, 540, 267, 610, 14286, 547, 2661, 909, 547, 519, 834, 2246, 5782, 545, 1336, 3741, 540, 519, 2136, 2276, 4840, 18770, 665, 919, 267, 7855, 543, 1053, 723, 6829, 1312, 6161, 543, 10539, 936, 1018, 519, 6069, 3915, 1131, 1611, 585, 13460, 563, 5278, 1533, 1876, 16234, 543, 2818, 540, 7147, 262, 3557, 8274, 540, 4065, 267, 799, 13327, 525, 519, 1646, 540, 6437, 4441, 585, 1857, 3506, 267, 723, 1767, 602, 519, 6054, 711, 3769, 538, 590, 289, 476, 274, 616, 711, 17049, 689, 1373, 6026, 269, 1358, 8044, 519, 6437, 4441, 786, 581, 513, 5943, 3610, 666, 4228, 2390, 563, 307, 1410, 553, 5600, 24273, 945, 13264, 844, 28262, 5329, 3915, 689, 14027, 454, 13295, 2484, 267, 519, 1533, 14130, 5795, 3803, 13170, 547, 590, 289, 476, 274, 593, 606, 476, 1240, 268, 275, 8917, 267, 609, 8370, 24273, 15534, 1247, 538, 6115, 547, 6443, 5600, 24273, 538, 513, 13889, 936, 717, 8008, 13359, 12014, 563, 763, 5600, 267, 2705, 267, 3112, 3398, 590, 289, 476, 274, 1813, 547, 513, 3668, 540, 844, 28262, 538, 519, 2539, 12068, 269, 2859, 982, 476, 2568, 5600, 24273, 2611, 538, 6115, 267, 667, 5861, 1421, 543, 723, 711, 1767, 950, 789, 1544, 547, 2132, 563, 5649, 519, 2407, 8747, 540, 670, 289, 476, 4375, 278, 280, 267, 590, 289, 476, 274, 454, 1607, 2376, 8385, 7902, 593, 21388, 1977, 21178, 919, 2006, 281, 7147, 14130, 562, 1460, 525, 918, 298, 298, 4704, 538, 6069, 2565, 5198, 3069, 3915, 0, 20776, 19828, 12700, 6168, 7108, 8127, 281, 3657, 1358, 26419, 17164, 4115, 888, 20112, 8127, 723, 1044, 2442, 10130, 585, 1082, 1296, 267, 855, 972, 779, 1869, 513, 2603, 547, 1451, 827, 873, 269, 3245, 741, 9670, 15325, 547, 741, 13916, 547, 1114, 2010, 540, 5054, 267, 891, 3165, 2611, 513, 9814, 547, 1082, 540, 721, 269, 2290, 2243, 602, 1419, 14340, 568, 2436, 610, 711, 4154, 8127, 616, 5963, 20757, 269, 2913, 779, 1491, 513, 1413, 693, 930, 9670, 5013, 827, 4154, 8127, 543, 1265, 856, 563, 1432, 1684, 7108, 8127, 16202, 888, 2691, 621, 2501, 547, 4154, 8127, 2732, 267, 972, 779, 513, 2603, 540, 20849, 1344, 856, 972, 269, 3509, 1004, 8263, 602, 4154, 8127, 616, 20757, 267, 855, 519, 5168, 568, 811, 7294, 982, 602, 269, 7108, 8127, 616, 9631, 16622, 2803, 267, 2495, 789, 3548, 1312, 2030, 543, 3662, 2339, 269, 1358, 991, 513, 7059, 2732, 602, 2882, 1312, 5946, 543, 11950, 547, 3251, 2635, 563, 1103, 519, 3552, 267, 4154, 8127, 3335, 3548, 12748, 10664, 267, 7786, 267, 12933, 30702, 267, 543, 824, 1507, 7068, 269, 769, 24811, 267, 789, 666, 581, 10480, 5010, 4154, 8127, 1166, 1389, 267, 26005, 267, 610, 824, 16887, 19775, 3536, 269, 1358, 786, 849, 3548, 2661, 610, 13792, 3536, 899, 1973, 19095, 267, 1490, 710, 20544, 267, 543, 546, 7469, 11844, 563, 2710, 7108, 8127, 10261, 29641, 888, 15987, 4154, 8127, 991, 5946, 547, 3251, 2635, 267, 789, 786, 849, 4324, 689, 513, 9867, 2732, 540, 5388, 269, 769, 519, 3552, 267, 789, 1419, 3548, 11432, 15634, 267, 799, 2488, 873, 609, 11950, 269, 769, 24811, 267, 596, 666, 2709, 873, 11273, 5388, 899, 17112, 267, 17436, 267, 22156, 267, 543, 1990, 1075, 577, 7236, 269, 29641, 849, 1683, 1898, 8324, 543, 6886, 267, 865, 621, 779, 1271, 547, 1331, 873, 538, 707, 4154, 8127, 779, 2732, 563, 3674, 898, 15822, 547, 16376, 7108, 8127, 29133, 888, 20112, 8127, 666, 9108, 3548, 1507, 5666, 540, 10709, 16469, 971, 607, 29656, 22872, 14132, 610, 9269, 12271, 269, 898, 779, 1271, 547, 2057, 9761, 16469, 899, 28019, 267, 607, 891, 666, 2014, 9667, 2042, 269, 898, 779, 849, 1271, 547, 1118, 2386, 782, 5779, 568, 11273, 1354, 621, 779, 2016, 547, 707, 4154, 8127, 563, 1432, 4033, 16639, 3657, 15822, 585, 7108, 8127, 888, 20112, 8127, 666, 849, 3548, 6151, 5613, 543, 5388, 267, 971, 607, 18683, 267, 13212, 267, 543, 23858, 269, 29759, 1058, 581, 2759, 909, 883, 1507, 4773, 267, 1247, 5388, 666, 581, 2016, 2898, 269, 898, 779, 1271, 547, 2057, 1022, 5613, 610, 5388, 602, 723, 1044, 5701, 609, 13851, 563, 1432, 16639, 9701, 2142, 3680, 539, 888, 2467, 616, 930, 3536, 602, 1058, 2760, 581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6574, 1699, 786, 26632, 622, 519, 1034, 1379, 269, 769, 713, 2013, 267, 519, 6252, 5547, 3217, 519, 14735, 780, 13839, 4700, 1548, 568, 519, 5223, 540, 1379, 1063, 519, 1079, 5686, 540, 11387, 2496, 11405, 281, 1280, 519, 6252, 4999, 267, 623, 815, 28258, 476, 273, 681, 552, 336, 28872, 815, 30285, 1911, 275, 589, 264, 273, 630, 4200, 277, 21508, 355, 3738, 815, 476, 1015, 269, 6860, 26334, 269, 1280, 519, 3126, 4999, 267, 623, 815, 568, 273, 3725, 336, 29679, 815, 30285, 5400, 288, 264, 273, 263, 10219, 271, 21508, 355, 3738, 815, 476, 279, 269, 271, 692, 342, 30476, 269, 634, 5223, 540, 519, 1079, 568, 623, 338, 18025, 335, 815, 476, 279, 270, 1015, 269, 6860, 815, 1547, 279, 780, 1724, 269, 866, 264, 6333, 7612, 594, 281, 513, 4700, 1403, 1100, 1699, 568, 547, 2095, 998, 681, 276, 267, 1018, 1590, 581, 3020, 286, 8827, 281, 634, 6453, 6749, 2066, 681, 476, 276, 1590, 581, 4642, 952, 972, 568, 547, 581, 1100, 1699, 998, 621, 267, 799, 1797, 519, 6453, 540, 18745, 589, 543, 645, 593, 519, 17250, 1590, 581, 9838, 780, 11592, 589, 681, 272, 692, 305, 692, 305, 276, 692, 305, 274, 692, 321, 4700, 1403, 22622, 815, 476, 274, 269, 3607, 24311, 543, 966, 289, 815, 476, 276, 269, 1839, 24311, 630, 32622, 589, 543, 645, 616, 3989, 538, 519, 17250, 547, 519, 1318, 1070, 538, 799, 4287, 786, 1699, 2095, 998, 681, 276, 2496, 273, 692, 305, 692, 275, 692, 11592, 645, 692, 309, 692, 334, 16658, 13543, 594, 8827, 281, 7351, 2095, 568, 3989, 607, 519, 4287, 538, 799, 2318, 5279, 19057, 2951, 630, 817, 2541, 2318, 10997, 1223, 1847, 998, 513, 5547, 1040, 2334, 1797, 1699, 8928, 689, 519, 2362, 6207, 5122, 1761, 630, 11592, 645, 693, 966, 289, 815, 476, 276, 269, 1839, 692, 14179, 1206, 264, 547, 519, 2539, 6207, 5122, 1761, 630, 11592, 589, 693, 22622, 815, 476, 274, 269, 3607, 24311, 6393, 322, 4700, 9717, 519, 3510, 13890, 538, 3487, 536, 543, 14322, 681, 276, 815, 476, 274, 19315, 916, 267, 1018, 568, 519, 1699, 998, 681, 276, 286, 8827, 281, 32114, 681, 276, 815, 476, 274, 21508, 355, 267, 519, 1699, 998, 681, 276, 786, 581, 281, 966, 276, 815, 1775, 476, 276, 681, 476, 276, 2073, 1141, 966, 276, 568, 519, 6453, 6749, 2066, 681, 276, 630, 328, 4318, 1421, 476, 276, 269, 1839, 24311, 910, 476, 274, 269, 3607, 24311, 815, 476, 272, 269, 8660, 24311, 1040, 10691, 292, 281, 901, 6453, 1871, 1058, 581, 5265, 1572, 667, 309, 276, 607, 621, 18575, 513, 6453, 3017, 692, 24992, 519, 1079, 5011, 540, 513, 19919, 269, 898, 3884, 1405, 20922, 602, 1259, 1317, 21575, 723, 1831, 27823, 609, 741, 10035, 269, 901, 1433, 786, 979, 609, 519, 15007, 269, 1411, 991, 547, 8275, 602, 950, 596, 1294, 513, 966, 2165, 538, 513, 5547, 4082, 267, 519, 966, 568, 711, 3954, 7627, 606, 5122, 1761, 693, 513, 1880, 1448, 855, 2864, 606, 5122, 1761, 3017, 1063, 1079, 2798, 269, 32027, 538, 519, 2418, 11729, 1384, 9262, 272, 692, 309, 276, 815, 1775, 276, 305, 276, 692, 272, 269, 8660, 815, 1775, 276, 630, 274, 21508, 355, 264, 1775, 276, 815, 1547, 8287, 993, 1186, 780, 1724, 269, 736, 264, 769, 519, 5547, 538, 7612, 4083, 267, 519, 1699, 998, 519, 476, 1321, 21508, 355, 637, 626, 528, 568, 1547, 276, 993, 1186, 269, 513, 4700, 1548, 568, 519, 1699, 998, 519, 476, 279, 21508, 355, 19919, 2496, 1428, 692, 309, 334, 692, 11405, 281, 634, 6453, 2066, 519, 476, 1321, 19315, 332, 19919, 568, 519, 1482, 607, 519, 6453, 2066, 519, 476, 279, 19315, 332, 19919, 269, 2334, 1797, 602, 610, 692, 1321, 692, 279, 692, 20983, 13543, 4083, 692, 263, 1321, 19315, 916, 7565, 269, 276, 589, 264, 815, 630, 279, 19315, 916, 264, 328, 267, 1775, 815, 1547, 4037, 993, 1186, 780, 321, 4700, 1548, 568, 519, 1379, 3761, 781, 6453, 286, 8827, 281, 634, 2698, 1699, 1373, 6537, 689, 519, 1379, 3761, 568, 3160, 547, 519, 1547, 276, 993, 1186, 998, 519, 476, 1321, 19315, 332, 19919, 543, 519, 1547, 4037, 993, 1186, 998, 519, 476, 279, 19315, 332, 19919, 267, 610, 476, 272, 269, 1839, 993, 1186, 269, 634, 6453, 2066, 519, 1379, 3761, 568, 519, 1482, 607, 519, 6453, 2066, 519, 476, 1428, 19315, 332, 19919, 3773, 547, 519, 6453, 2066, 519, 476, 1321, 19315, 332, 19919, 630, 528, 267, 952, 596, 9364, 4782, 267, 2066, 519, 476, 279, 19315, 332, 19919, 734, 7474, 1297, 786, 581, 519, 1482, 1040, 23560, 519, 2979, 11729, 966, 815, 630, 1428, 19315, 916, 7565, 272, 269, 1839, 589, 264, 1341, 630, 1321, 19315, 916, 7565, 269, 276, 589, 264, 815, 476, 2190, 269, 4037, 24311, 780, 1724, 269, 2641, 264, 769, 7612, 8633, 267, 681, 273, 568, 8519, 269, 32114, 606, 4998, 1379, 3761, 267, 1018, 4523, 547, 281, 513, 4700, 681, 273, 781, 6453, 282, 634, 6453, 2066, 681, 476, 273, 568, 4371, 3586, 676, 519, 6007, 269, 28206, 2084, 519, 2450, 540, 519, 19919, 1281, 4986, 547, 519, 6453, 2066, 519, 19919, 780, 309, 334, 692, 305, 692, 272, 692, 11405, 1384, 20983, 13543, 8633, 692, 321, 4700, 681, 273, 781, 1699, 16963, 11405, 281, 7937, 332, 781, 4521, 3081, 519, 6453, 2066, 513, 19919, 543, 519, 1699, 998, 519, 19919, 616, 1644, 607, 966, 678, 815, 1775, 305, 269, 1403, 966, 678, 3788, 519, 1482, 543, 681, 11081, 267, 1775, 1590, 2333, 780, 322, 4700, 681, 272, 781, 6453, 16963, 11405, 281, 634, 6453, 2066, 681, 476, 272, 568, 4371, 693, 966, 522, 676, 519, 6007, 267, 4061, 18174, 532, 1472, 609, 681, 273, 786, 798, 4986, 547, 681, 272, 781, 6453, 610, 1699, 780, 323, 4700, 519, 1379, 26632, 730, 676, 681, 273, 2496, 279, 7761, 692, 305, 692, 273, 692, 22069, 1903, 734, 2419, 269, 476, 1724, 630, 3722, 1299, 9823, 27989, 2020, 11405, 281, 634, 1379, 26632, 730, 676, 1022, 19919, 568, 3160, 547, 1775, 273, 305, 269, 1403, 681, 11081, 676, 267, 2161, 267, 513, 3815, 540, 1079, 630, 328, 4318, 1421, 621, 30556, 1070, 519, 1699, 786, 979, 909, 676, 513, 3815, 540, 1079, 630, 5408, 3487, 536, 585, 519, 24117, 1040, 1306, 1379, 568, 513, 1599, 540, 1699, 16302, 1247, 1152, 1373, 513, 5276, 1599, 540, 4187, 267, 10300, 1324, 519, 4187, 1247, 30945, 519, 1699, 786, 2333, 519, 1379, 676, 513, 3815, 540, 1079, 269, 23560, 713, 28879, 267, 649, 1205, 281, 623, 1245, 815, 1775, 273, 305, 692, 303, 2908, 815, 630, 273, 328, 264, 273, 27562, 270, 273, 2020, 284, 630, 275, 328, 273, 7565, 305, 270, 273, 264, 815, 476, 273, 328, 273, 305, 815, 476, 273, 303, 1245, 780, 1724, 269, 2420, 264, 769, 7612, 10001, 267, 782, 519, 27856, 616, 519, 1482, 543, 782, 519, 4998, 1379, 2959, 616, 519, 1482, 269, 1403, 519, 1699, 538, 519, 3126, 5547, 568, 1547, 275, 993, 1186, 267, 1018, 568, 519, 1699, 6537, 689, 27215, 538, 519, 6252, 5547, 2496, 305, 692, 309, 334, 692, 309, 334, 692, 305, 692, 305, 692, 20983, 13543, 10001, 8827, 281, 901, 568, 513, 834, 2224, 707, 2212, 257, 1966, 269, 1280, 519, 3126, 5547, 267, 649, 5173, 519, 6007, 6453, 607, 281, 27215, 815, 1775, 3725, 336, 815, 1775, 27562, 1341, 681, 264, 815, 30285, 275, 513, 7565, 273, 305, 264, 815, 1547, 279, 305, 269, 1280, 519, 6252, 5547, 267, 519, 6007, 6453, 966, 522, 30285, 279, 305, 607, 7229, 1657, 264, 568, 519, 1482, 607, 519, 6453, 2066, 1142, 19919, 630, 637, 626, 832, 538, 6252, 723, 519, 1482, 6453, 2066, 873, 1040, 4635, 7937, 332, 781, 4521, 593, 1142, 540, 1346, 27856, 11729, 281, 27215, 815, 1775, 272, 305, 269, 32027, 538, 519, 6453, 27215, 11729, 1384, 269, 279, 305, 815, 1775, 272, 305, 692, 328, 272, 815, 1547, 279, 993, 1186, 780, 2026, 681, 568, 519, 1482, 538, 1312, 6252, 8371, 267, 1547, 279, 993, 1186, 568, 6537, 998, 1312, 8371, 1818, 519, 2698, 1699, 6537, 689, 519, 6007, 476, 272, 269, 277, 993, 1186, 780, 1724, 269, 2537, 264, 1763, 626, 832, 681, 272, 815, 476, 1015, 21508, 355, 2073, 681, 273, 815, 476, 1321, 21508, 355, 2073, 543, 681, 274, 815, 476, 1626, 21508, 355, 616, 4448, 538, 6252, 269, 1403, 519, 1699, 998, 519, 476, 1321, 21508, 355, 19919, 568, 476, 273, 993, 1186, 267, 3313, 519, 14768, 998, 519, 824, 1079, 27856, 269, 476, 9262, 274, 692, 305, 692, 11405, 281, 18833, 519, 1699, 543, 4187, 3238, 538, 835, 540, 519, 2582, 9113, 626, 528, 8371, 2636, 721, 547, 3313, 519, 6453, 2066, 1142, 7936, 630, 2421, 4214, 267, 519, 6453, 2066, 1022, 835, 7936, 540, 513, 6252, 4999, 786, 3160, 519, 6453, 2066, 1022, 824, 7936, 1040, 1306, 971, 281, 966, 815, 1775, 273, 305, 273, 692, 284, 630, 273, 513, 7565, 1321, 21508, 355, 264, 815, 476, 2190, 24311, 780, 734, 2690, 681, 272, 815, 476, 1015, 21508, 355, 1384, 309, 815, 1775, 272, 305, 272, 692, 734, 2690, 681, 274, 815, 476, 1626, 21508, 355, 1384, 328, 272, 815, 966, 24250, 272, 815, 630, 2190, 642, 19422, 1015, 21508, 355, 264, 815, 476, 273, 269, 275, 993, 1186, 780, 309, 815, 1775, 274, 305, 274, 692, 328, 274, 815, 966, 24250, 274, 815, 630, 2190, 642, 19422, 1626, 21508, 355, 264, 815, 476, 272, 269, 276, 993, 1186, 780, 1724, 269, 2190, 264, 589, 6007, 29789, 20205, 476, 277, 993, 1186, 540, 1699, 547, 513, 476, 3393, 21508, 355, 19919, 585, 476, 1789, 3764, 269, 8074, 281, 24269, 942, 568, 11368, 883, 513, 1966, 267, 972, 568, 513, 1434, 4960, 596, 786, 2901, 581, 2324, 609, 1379, 630, 1740, 270, 22780, 942, 264, 610, 1699, 630, 8408, 8429, 513, 1448, 270, 22780, 942, 1040, 769, 713, 2013, 267, 621, 568, 1312, 780, 320, 4700, 1215, 1454, 5279, 10596, 998, 519, 19919, 286, 8827, 281, 634, 4214, 540, 1699, 568, 7117, 14121, 267, 1141, 7117, 568, 519, 2698, 5279, 8429, 676, 513, 1448, 538, 519, 5547, 1282, 513, 942, 8884, 512, 269, 3502, 532, 602, 942, 1590, 581, 538, 7643, 543, 1210, 519, 1699, 4214, 11729, 281, 1775, 815, 7117, 14121, 692, 336, 815, 621, 815, 630, 277, 513, 25011, 263, 1789, 1295, 7565, 2568, 3813, 26553, 13580, 815, 476, 1015, 267, 8517, 4172, 331, 558, 2125, 780, 321, 4700, 1215, 1454, 960, 1281, 519, 29789, 798, 286, 8827, 281, 769, 2474, 540, 5122, 6724, 267, 519, 5122, 1761, 3017, 630, 328, 4318, 1421, 31221, 309, 815, 966, 264, 1063, 1079, 2798, 11224, 519, 960, 270, 8408, 2139, 547, 1022, 5279, 602, 7575, 1063, 519, 2798, 269, 1306, 971, 281, 654, 815, 7117, 309, 269, 1306, 519, 6453, 3017, 2066, 513, 19919, 568, 966, 815, 3352, 267, 649, 666, 2328, 281, 654, 815, 7117, 263, 597, 2020, 9262, 275, 692, 22069, 1903, 734, 2419, 269, 476, 1724, 630, 3722, 1299, 9823, 27989, 2020, 284, 630, 1015, 267, 8517, 595, 25011, 263, 277, 993, 1186, 7565, 3393, 21508, 355, 13580, 815, 476, 273, 269, 280, 343, 11793, 795, 537, 956, 780, 322, 4700, 1215, 1454, 1379, 1281, 519, 29789, 5838, 286, 8827, 281, 5295, 568, 18005, 3989, 607, 519, 960, 829, 1770, 942, 2944, 593, 610, 676, 513, 1062, 269, 4635, 602, 4214, 11729, 281, 623, 815, 654, 14121, 815, 630, 273, 269, 280, 343, 11793, 795, 537, 956, 8358, 27007, 1789, 1295, 7565, 2568, 3813, 26553, 13580, 815, 476, 272, 269, 277, 343, 9818, 26334, 780, 1724, 269, 1839, 264, 589, 1379, 3761, 2488, 476, 10219, 26334, 547, 606, 476, 1240, 21508, 355, 19919, 780, 9616, 281, 634, 1379, 3177, 547, 519, 476, 1240, 21508, 355, 19919, 568, 476, 10219, 26334, 269, 2334, 1797, 519, 19919, 666, 630, 663, 1281, 264, 26632, 622, 476, 10219, 795, 537, 956, 540, 1648, 829, 2034, 630, 342, 30476, 616, 795, 537, 956, 270, 16149, 6393, 320, 4700, 14419, 519, 1699, 998, 519, 19919, 269, 8827, 281, 4635, 519, 4214, 540, 1379, 267, 649, 1205, 281, 623, 815, 1775, 273, 681, 692, 328, 815, 630, 303, 24250, 264, 272, 270, 273, 815, 27883, 10219, 530, 19422, 1240, 21508, 355, 13580, 272, 270, 273, 815, 476, 273, 269, 5038, 993, 1186, 780, 321, 4700, 14419, 519, 6453, 2066, 519, 19919, 269, 8827, 281, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 546, 267, 543, 512, 333, 585, 713, 5311, 281, 512, 275, 284, 910, 280, 2073, 512, 1428, 815, 910, 4029, 692, 273, 269, 8734, 476, 1704, 267, 476, 1220, 275, 692, 2162, 8065, 810, 325, 296, 11803, 692, 1805, 3530, 9622, 7978, 454, 763, 2474, 538, 606, 12980, 5311, 2141, 4268, 676, 513, 3586, 912, 320, 266, 678, 267, 513, 266, 476, 273, 337, 267, 513, 266, 476, 274, 337, 267, 3092, 865, 602, 18946, 543, 15654, 1079, 2474, 3947, 678, 780, 272, 269, 3371, 649, 1590, 723, 630, 274, 343, 268, 272, 9984, 630, 343, 266, 272, 6661, 678, 284, 630, 278, 343, 268, 273, 9984, 630, 274, 343, 268, 272, 1040, 22695, 648, 519, 678, 543, 4194, 585, 1535, 780, 273, 269, 2060, 606, 12980, 5311, 596, 666, 1265, 519, 834, 320, 2071, 257, 540, 782, 2338, 676, 19011, 1645, 519, 1101, 543, 2063, 2474, 540, 519, 5311, 269, 634, 2040, 540, 562, 2474, 568, 1175, 562, 2053, 602, 3328, 780, 1103, 1880, 519, 3328, 540, 519, 1101, 476, 1321, 2474, 568, 630, 320, 272, 266, 513, 1321, 8358, 273, 865, 519, 2040, 540, 519, 1101, 476, 1321, 2474, 568, 476, 1321, 5416, 272, 266, 513, 1321, 8358, 273, 284, 476, 277, 5416, 272, 266, 513, 1321, 6661, 910, 7761, 780, 20118, 267, 519, 2040, 540, 519, 1101, 476, 2190, 2474, 568, 476, 1321, 5416, 272, 266, 513, 2190, 6661, 476, 13893, 780, 8170, 1576, 267, 952, 649, 1491, 513, 272, 607, 519, 1101, 2165, 543, 546, 607, 519, 1455, 3017, 267, 513, 1321, 284, 513, 272, 266, 476, 1556, 323, 543, 513, 2190, 284, 513, 272, 266, 2537, 323, 563, 21607, 1154, 1346, 883, 519, 1079, 4834, 585, 519, 18304, 3947, 596, 476, 273, 4834, 538, 519, 1079, 796, 330, 12495, 267, 546, 543, 513, 272, 269, 4495, 596, 917, 1346, 267, 596, 666, 5173, 513, 2764, 284, 513, 272, 266, 476, 2767, 323, 543, 519, 2040, 568, 476, 2764, 5416, 272, 266, 513, 2764, 22535, 11357, 8358, 273, 284, 476, 1691, 5416, 272, 266, 513, 2764, 6393, 320, 272, 284, 513, 543, 3045, 284, 513, 266, 630, 333, 268, 272, 264, 323, 865, 512, 275, 630, 6343, 594, 723, 1572, 513, 275, 284, 513, 266, 476, 274, 323, 284, 910, 280, 543, 512, 1428, 284, 513, 266, 476, 1691, 323, 284, 910, 4029, 269, 16534, 1346, 1079, 4834, 585, 513, 543, 546, 543, 1287, 512, 333, 284, 513, 266, 630, 333, 268, 272, 264, 323, 269, 0, 2710, 3733, 595, 335, 551, 322, 4147, 692, 288, 834, 290, 335, 551, 322, 4147, 257, 1627, 292, 257, 568, 513, 3044, 6310, 2165, 585, 513, 20902, 3586, 4082, 799, 568, 8246, 547, 4368, 11186, 4834, 543, 814, 3435, 799, 616, 6296, 269, 769, 11186, 4147, 21338, 267, 513, 595, 335, 551, 322, 1599, 267, 610, 834, 15153, 257, 568, 1031, 780, 763, 595, 335, 551, 322, 4147, 538, 4147, 2186, 666, 581, 7000, 607, 281, 1627, 263, 1535, 264, 815, 910, 330, 343, 273, 267, 1141, 1627, 263, 1535, 264, 616, 519, 595, 335, 551, 322, 4147, 543, 621, 568, 606, 1271, 2165, 269, 634, 7117, 851, 540, 519, 4147, 568, 519, 595, 335, 551, 322, 3586, 267, 6466, 519, 1535, 851, 568, 519, 595, 335, 551, 322, 1599, 780, 2467, 616, 476, 275, 595, 335, 551, 322, 3252, 609, 3617, 4781, 281, 918, 275, 267, 918, 278, 267, 918, 274, 267, 543, 700, 275, 269, 1284, 786, 1631, 1491, 513, 1413, 693, 891, 595, 335, 551, 322, 3252, 543, 875, 789, 616, 12193, 780, 298, 275, 910, 634, 918, 851, 540, 513, 595, 335, 551, 322, 4147, 568, 519, 595, 335, 551, 322, 1599, 269, 901, 595, 335, 551, 322, 1599, 666, 849, 581, 2854, 538, 9864, 13980, 971, 607, 281, 630, 343, 273, 910, 586, 273, 19422, 1535, 266, 586, 1040, 1677, 8207, 585, 918, 275, 649, 9062, 621, 676, 519, 2953, 595, 335, 551, 322, 1599, 281, 737, 263, 1535, 264, 815, 1535, 273, 267, 586, 273, 267, 610, 1535, 3917, 780, 298, 278, 910, 634, 918, 278, 595, 335, 551, 322, 4147, 814, 513, 3028, 540, 519, 1826, 281, 1535, 275, 344, 273, 910, 586, 275, 343, 274, 815, 476, 271, 269, 634, 595, 335, 551, 322, 1599, 568, 1287, 16611, 676, 1535, 547, 1205, 281, 1535, 273, 1341, 586, 273, 815, 476, 271, 269, 1284, 1287, 723, 547, 2333, 519, 595, 335, 551, 322, 1599, 609, 737, 547, 1205, 281, 737, 263, 1535, 264, 815, 1535, 273, 543, 586, 273, 780, 298, 274, 910, 634, 595, 335, 551, 322, 1599, 4147, 568, 918, 274, 1341, 918, 273, 815, 476, 271, 269, 1284, 1287, 9062, 676, 737, 585, 918, 274, 780, 298, 274, 263, 512, 264, 910, 634, 595, 335, 551, 322, 1599, 3830, 529, 918, 274, 263, 512, 264, 1341, 918, 273, 263, 512, 1040, 1284, 9062, 676, 737, 585, 918, 274, 263, 512, 1040, 3767, 649, 9062, 676, 519, 595, 335, 551, 322, 1599, 799, 3947, 281, 918, 273, 263, 512, 264, 815, 918, 263, 512, 264, 2053, 737, 780, 763, 595, 335, 551, 322, 1599, 568, 849, 5219, 547, 607, 834, 298, 275, 257, 1317, 540, 519, 3355, 338, 540, 519, 5022, 918, 543, 476, 275, 269, 918, 5267, 595, 335, 551, 322, 267, 543, 519, 2262, 834, 15153, 257, 568, 14733, 607, 834, 27204, 268, 4599, 6231, 763, 595, 335, 551, 322, 4147, 568, 1851, 519, 1292, 4485, 540, 21338, 11186, 12596, 269, 769, 519, 595, 335, 551, 322, 1599, 4147, 267, 519, 595, 335, 551, 322, 1599, 568, 1101, 16611, 676, 519, 3617, 595, 335, 551, 322, 1599, 267, 799, 786, 2709, 519, 595, 335, 551, 322, 1599, 780, 763, 595, 335, 551, 322, 1599, 568, 1287, 5258, 676, 519, 595, 335, 551, 322, 1599, 799, 786, 7941, 519, 595, 335, 551, 322, 1599, 883, 513, 1483, 851, 543, 513, 14070, 851, 269, 901, 2488, 519, 595, 335, 551, 322, 2165, 780, 15563, 267, 519, 595, 335, 551, 322, 2165, 786, 581, 5258, 676, 519, 19362, 543, 519, 14009, 547, 1205, 519, 5223, 269, 1284, 616, 1303, 27434, 547, 519, 1318, 11804, 812, 2427, 543, 519, 2165, 834, 336, 6231, 763, 595, 335, 551, 322, 4147, 568, 513, 2629, 6240, 547, 10146, 950, 20547, 513, 11186, 4147, 269, 634, 595, 335, 551, 322, 1599, 568, 3274, 835, 1935, 547, 4194, 513, 595, 335, 551, 322, 4147, 269, 634, 4485, 585, 21338, 595, 335, 551, 322, 12596, 2874, 540, 281, 13737, 4502, 17883, 267, 26458, 267, 4998, 5690, 267, 6310, 3028, 610, 519, 595, 335, 551, 322, 1599, 19406, 780, 295, 790, 25126, 1677, 1684, 2659, 595, 335, 551, 322, 4147, 692, 2252, 596, 1131, 899, 547, 1831, 5432, 609, 519, 31763, 545, 4147, 267, 1287, 596, 2154, 547, 1360, 1101, 1376, 676, 3168, 998, 519, 2228, 31763, 545, 2985, 269, 901, 2985, 786, 7866, 596, 875, 547, 8415, 519, 4147, 676, 1210, 707, 13691, 269, 634, 7778, 786, 849, 1397, 596, 875, 547, 3132, 707, 1378, 7223, 4834, 547, 4217, 596, 1353, 585, 707, 5049, 780, 6524, 596, 666, 1174, 875, 547, 1353, 585, 513, 595, 335, 551, 322, 4147, 267, 596, 1590, 1101, 10146, 1818, 946, 540, 707, 13691, 269, 1411, 786, 1265, 856, 875, 547, 4945, 593, 519, 1599, 10569, 593, 707, 13691, 267, 607, 1134, 607, 875, 547, 1826, 519, 5022, 269, 1703, 616, 1614, 9343, 540, 1599, 10569, 593, 707, 13691, 269, 3962, 4737, 814, 2185, 3252, 281, 16816, 267, 674, 272, 267, 674, 273, 267, 543, 674, 274, 780, 3528, 11319, 16816, 543, 674, 273, 267, 596, 666, 9062, 543, 7941, 519, 4502, 676, 1776, 1297, 267, 971, 607, 519, 1297, 476, 277, 269, 1635, 11319, 16816, 543, 674, 274, 267, 596, 666, 946, 519, 476, 274, 6113, 1379, 780, 2691, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1883, 538, 519, 1297, 596, 616, 3843, 547, 9062, 543, 7941, 269, 1677, 9062, 513, 1297, 676, 3294, 267, 596, 786, 2046, 16816, 543, 2473, 267, 1141, 2473, 568, 519, 1297, 596, 6999, 547, 2333, 269, 1879, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1883, 538, 519, 1297, 596, 616, 12394, 547, 7941, 780, 1607, 1568, 519, 3169, 1482, 609, 519, 1297, 476, 277, 267, 4849, 596, 786, 1152, 1883, 538, 519, 1079, 9704, 602, 616, 3670, 6306, 269, 7053, 267, 950, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 8415, 519, 476, 275, 628, 1379, 269, 1717, 267, 950, 596, 7903, 16816, 543, 674, 275, 267, 596, 786, 946, 519, 1483, 1379, 602, 596, 723, 4362, 547, 581, 519, 1034, 3617, 585, 707, 1966, 780, 3528, 1210, 519, 16816, 543, 674, 1599, 10569, 267, 596, 666, 9062, 267, 7941, 267, 543, 1287, 946, 519, 4542, 585, 519, 476, 274, 6113, 1379, 269, 1403, 596, 2154, 547, 2333, 606, 9642, 1297, 540, 1535, 781, 267, 1287, 596, 786, 991, 547, 4283, 606, 1256, 1297, 780, 1607, 568, 711, 519, 2013, 952, 596, 616, 3843, 547, 798, 1945, 1950, 267, 971, 607, 2810, 1079, 1256, 2338, 269, 1280, 3236, 267, 952, 596, 1616, 547, 9062, 606, 9642, 1297, 540, 1535, 781, 267, 1287, 596, 786, 2154, 547, 4283, 9642, 2338, 269, 901, 568, 2523, 3020, 952, 596, 616, 12394, 547, 4137, 856, 519, 2626, 540, 513, 595, 335, 551, 322, 4147, 780, 2252, 596, 6999, 547, 2981, 606, 9642, 1297, 883, 606, 1256, 1297, 267, 1287, 596, 786, 2154, 547, 2046, 16816, 543, 674, 275, 269, 1403, 596, 798, 711, 917, 875, 547, 9062, 676, 2338, 593, 741, 1378, 267, 1287, 596, 786, 2154, 547, 8415, 519, 5022, 1535, 267, 513, 536, 267, 524, 267, 543, 546, 780, 4407, 596, 666, 9062, 543, 7941, 676, 946, 540, 519, 2338, 267, 789, 616, 513, 2603, 4443, 547, 8415, 950, 596, 666, 1491, 513, 1413, 693, 519, 1379, 7515, 585, 519, 2338, 269, 1411, 786, 723, 547, 798, 930, 1382, 950, 596, 7620, 1376, 547, 946, 519, 2338, 267, 2705, 1310, 513, 1247, 267, 621, 786, 581, 2034, 2470, 269, 2991, 596, 723, 2965, 2919, 707, 1378, 7223, 4834, 267, 596, 786, 723, 519, 2702, 547, 1711, 707, 1378, 12093, 7515, 780, 763, 595, 335, 551, 322, 16754, 568, 711, 519, 1152, 1505, 547, 8207, 595, 335, 551, 322, 4834, 269, 898, 568, 1898, 547, 1451, 811, 827, 29890, 267, 799, 3096, 519, 25355, 11532, 267, 543, 1287, 946, 595, 335, 551, 322, 3435, 547, 4368, 2152, 269, 2060, 713, 1935, 267, 596, 666, 1174, 827, 7285, 543, 875, 547, 4194, 2042, 1510, 2348, 547, 1491, 1776, 7223, 1362, 780, 2005, 568, 2556, 547, 3801, 543, 1826, 607, 3533, 607, 2009, 267, 2094, 17511, 786, 948, 596, 917, 827, 519, 3432, 596, 616, 17511, 269, 901, 786, 4217, 596, 2328, 707, 6114, 18334, 780, 28324, 25126, 1677, 6875, 3733, 595, 335, 551, 322, 4147, 692, 288, 595, 335, 551, 322, 4147, 568, 513, 31633, 540, 513, 5276, 4147, 269, 1280, 3236, 267, 950, 596, 11690, 538, 1535, 30381, 17070, 585, 513, 2016, 4147, 267, 596, 10536, 519, 1871, 540, 1535, 269, 1879, 596, 11690, 538, 1535, 30381, 585, 519, 4147, 586, 284, 322, 267, 596, 10536, 519, 702, 2195, 540, 1535, 543, 586, 267, 799, 1683, 596, 513, 1267, 540, 524, 269, 1635, 1210, 713, 4909, 6240, 547, 782, 519, 4834, 602, 649, 723, 6836, 267, 649, 666, 1631, 8207, 595, 335, 551, 322, 12596, 585, 782, 519, 702, 2195, 540, 1535, 267, 543, 649, 666, 798, 621, 3533, 543, 7561, 780, 2467, 616, 1082, 2228, 2200, 11593, 2139, 602, 1683, 5360, 21747, 610, 6578, 7874, 595, 335, 551, 322, 4834, 547, 4194, 585, 782, 519, 2418, 540, 1535, 267, 1519, 519, 1942, 540, 942, 585, 596, 547, 581, 2111, 547, 1118, 519, 1034, 540, 741, 595, 335, 551, 322, 4147, 4305, 6351, 3028, 269, 1452, 2200, 2356, 798, 711, 991, 513, 20478, 1942, 610, 1022, 1826, 540, 5092, 780, 763, 6114, 13859, 616, 519, 1267, 540, 1950, 8686, 926, 762, 595, 335, 551, 322, 4834, 602, 723, 1044, 12193, 269, 901, 568, 849, 519, 2013, 950, 519, 4756, 1031, 568, 606, 796, 30009, 1297, 780, 763, 595, 335, 551, 322, 4147, 568, 513, 2165, 602, 568, 606, 10137, 540, 513, 5276, 4147, 269, 2290, 5413, 540, 1210, 595, 335, 551, 322, 12596, 568, 602, 789, 616, 811, 2596, 982, 519, 5276, 12596, 269, 1358, 616, 4443, 547, 4368, 585, 782 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18869, 3018, 1297, 454, 272, 4449, 567, 1948, 18869, 1554, 1297, 630, 476, 272, 815, 11728, 12467, 24257, 546, 18994, 334, 8971, 4590, 262, 1220, 273, 268, 6734, 268, 1556, 7055, 24257, 546, 269, 1598, 1111, 830, 2891, 260, 323, 270, 260, 332, 270, 260, 344, 5602, 262, 1556, 270, 6734, 270, 6349, 7055, 24257, 546, 269, 1598, 1111, 830, 2891, 260, 288, 4939, 323, 269, 4939, 289, 4939, 312, 5602, 262, 300, 10185, 476, 1556, 269, 4728, 476, 1220, 273, 7055, 24257, 1412, 763, 2715, 272, 348, 568, 2715, 271, 281, 260, 323, 9574, 519, 2715, 273, 348, 568, 2715, 271, 281, 260, 289, 20467, 8339, 8971, 5560, 267, 834, 1485, 2580, 834, 24629, 5602, 31415, 515, 1554, 568, 476, 1556, 267, 519, 3923, 568, 4728, 25692, 0, 5035, 7665, 3891, 777, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 515, 777, 815, 1496, 271, 6540, 825, 1219, 2450, 4311, 2187, 1038, 2132, 7003, 4311, 269, 515, 777, 9984, 272, 692, 825, 1219, 19389, 318, 1575, 4311, 267, 1775, 2187, 1038, 1247, 1775, 3436, 476, 272, 543, 1582, 269, 515, 777, 5157, 316, 3436, 1582, 269, 515, 777, 5157, 2260, 273, 14158, 2018, 1582, 269, 515, 777, 5157, 3910, 1582, 269, 515, 777, 5157, 2260, 273, 316, 815, 1582, 269, 515, 777, 5157, 2260, 273, 3910, 1582, 269, 515, 777, 5157, 2639, 2018, 1775, 815, 1775, 2260, 273, 692, 825, 1219, 19389, 5091, 1144, 4311, 267, 967, 2187, 1038, 1247, 967, 2608, 476, 273, 10922, 1582, 25915, 10031, 2018, 1007, 318, 785, 815, 967, 454, 2018, 952, 1582, 269, 515, 777, 314, 273, 2608, 967, 316, 3436, 1582, 269, 515, 777, 314, 785, 14158, 3546, 1007, 318, 785, 815, 967, 265, 273, 454, 2018, 952, 476, 273, 2608, 967, 1341, 476, 272, 10922, 1582, 25915, 3890, 543, 1582, 269, 515, 777, 314, 273, 265, 785, 1341, 476, 272, 316, 3436, 1582, 269, 515, 777, 314, 2908, 318, 785, 14158, 3546, 1007, 318, 785, 815, 476, 273, 265, 785, 1341, 476, 272, 454, 2018, 952, 1007, 318, 785, 2652, 967, 912, 3546, 2736, 454, 2018, 1582, 269, 515, 777, 314, 785, 3910, 1582, 269, 515, 777, 314, 2908, 318, 785, 316, 815, 1582, 269, 515, 777, 314, 2908, 318, 785, 3910, 1582, 269, 515, 777, 314, 785, 2639, 2018, 967, 815, 1007, 318, 785, 692, 825, 1219, 7696, 4311, 267, 6221, 2187, 1038, 1582, 269, 515, 777, 6910, 263, 14403, 994, 1038, 1582, 12500, 889, 1076, 318, 1575, 4311, 25915, 31156, 825, 1219, 1628, 318, 515, 777, 318, 5976, 10734, 889, 1076, 5091, 1144, 4311, 267, 1250, 8217, 2187, 1038, 1582, 269, 515, 777, 269, 2169, 754, 30044, 8217, 994, 1038, 585, 1775, 538, 2039, 4311, 25915, 19572, 476, 271, 267, 910, 272, 2187, 2018, 1582, 12500, 889, 1076, 5091, 1144, 9217, 2020, 825, 1219, 1628, 318, 515, 777, 318, 5976, 10734, 889, 1076, 318, 1575, 4311, 267, 1250, 8217, 2187, 1038, 1582, 269, 515, 777, 269, 2169, 754, 30044, 8217, 994, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1582, 25915, 3890, 266, 272, 2187, 2018, 1582, 12500, 889, 1076, 318, 1575, 9217, 2020, 825, 1219, 1205, 26174, 4311, 2187, 1038, 952, 1582, 25915, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 2891, 515, 777, 568, 8900, 5602, 1038, 2132, 1582, 269, 515, 777, 314, 272, 6540, 825, 1219, 18419, 26174, 4311, 2187, 1038, 952, 1582, 25915, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 2891, 515, 777, 568, 8900, 5602, 1038, 5021, 815, 1582, 269, 515, 777, 314, 272, 2639, 1038, 1582, 269, 515, 777, 314, 272, 316, 815, 1582, 269, 515, 777, 15631, 272, 2639, 1038, 1582, 269, 515, 777, 21014, 8987, 272, 994, 1038, 1582, 12500, 889, 1076, 5091, 1144, 263, 272, 994, 1038, 2132, 5021, 692, 825, 1219, 2312, 4311, 2187, 1038, 1582, 269, 515, 777, 815, 1496, 271, 6540, 454, 515, 777, 815, 7665, 3891, 777, 4590, 515, 777, 12500, 4265, 318, 515, 777, 318, 5976, 10734, 889, 1076, 318, 1575, 8443, 273, 267, 476, 275, 267, 476, 277, 267, 476, 275, 267, 476, 276, 267, 476, 274, 267, 476, 277, 7481, 2745, 263, 515, 777, 269, 515, 777, 994, 515, 777, 269, 27234, 4590, 515, 777, 12500, 4265, 318, 515, 777, 318, 5976, 10734, 889, 1076, 5091, 1144, 8443, 273, 267, 476, 275, 267, 476, 277, 267, 476, 275, 267, 476, 276, 267, 476, 274, 267, 476, 277, 7481, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 515, 777, 27044, 263, 280, 994, 2745, 263, 515, 777, 10947, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 25915, 28829, 0, 3698, 2040, 28237, 19906, 272, 267, 1551, 273, 2187, 825, 2040, 284, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 272, 15892, 1038, 2040, 23785, 2855, 272, 5157, 30297, 1551, 273, 5157, 2639, 825, 1820, 9497, 260, 323, 257, 260, 8999, 2020, 320, 17342, 1015, 267, 2412, 267, 7830, 267, 1015, 2639, 321, 17342, 736, 267, 2004, 267, 3583, 267, 1015, 6540, 338, 2794, 6055, 5416, 14720, 264, 0, 5814, 556, 692, 335, 284, 6151, 17750, 9497, 9373, 10957, 834, 2020, 343, 18989, 692, 6112, 1535, 912, 825, 952, 7003, 9638, 264, 283, 277, 543, 7003, 9638, 264, 285, 1626, 912, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 320, 22271, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 288, 19053, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 271, 268, 280, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 259, 258, 287, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 556, 269, 14142, 19629, 338, 2580, 335, 2187, 1038, 2736, 454, 825, 3116, 912, 1038, 1535, 25716, 454, 1038, 1820, 2891, 11749, 573, 10957, 5602, 1038, 2736, 454, 604, 1535, 912, 825, 1820, 9497, 1103, 20777, 10957, 8442, 0, 3698, 1455, 6600, 29679, 2187, 825, 678, 17342, 2639, 825, 952, 521, 2652, 1496, 14158, 1038, 2132, 678, 454, 825, 8640, 535, 2525, 338, 912, 1038, 2132, 535, 22562, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 585, 795, 538, 2039, 630, 6352, 6600, 15892, 2018, 952, 521, 5157, 316, 2652, 535, 14728, 14158, 3546, 678, 6910, 4433, 5157, 7481, 3546, 2736, 28329, 825, 2132, 678, 692, 10233, 272, 815, 22373, 16446, 2580, 834, 16675, 2580, 834, 7775, 1052, 2580, 834, 19669, 19312, 3097, 10233, 273, 815, 22373, 14937, 2580, 834, 16675, 2580, 834, 19669, 2580, 834, 303, 1074, 257, 6540, 337, 284, 21720, 263, 10233, 272, 267, 10233, 273, 2020, 2745, 16868, 994, 2745, 2891, 324, 6470, 1505, 5602, 2745, 263, 3553, 263, 10233, 272, 264, 261, 1305, 630, 10233, 273, 4917, 2745, 2891, 11795, 2397, 689, 1592, 1079, 5602, 2745, 17338, 263, 3553, 263, 10233, 272, 9984, 1305, 263, 10233, 273, 4297, 2020, 2745, 2891, 16655, 15419, 3149, 17342, 272, 267, 273, 16427, 279, 267, 271, 2639, 2745, 263, 3149, 994, 2745, 32384, 263, 3149, 4297, 0, 692, 5228, 20313, 1104, 6581, 826, 7531, 5035, 1007, 11966, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 11907, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 454, 1038, 1582, 269, 18876, 815, 7183, 692, 3698, 24609, 27316, 17107, 825, 28364, 815, 6843, 692, 825, 7117, 815, 6581, 826, 10797, 825, 1247, 28364, 1384, 1038, 952, 28364, 269, 18876, 912, 2018, 7117, 269, 1584, 263, 2017, 337, 269, 18876, 2020, 1038, 952, 28364, 12785, 2652, 7183, 543, 711, 7117, 269, 24105, 10031, 2018, 28364, 12785, 815, 7117, 10947, 4590, 2018, 28364, 815, 28364, 12785, 454, 1038, 3116, 912, 2018, 28364, 815, 28364, 12785, 7531, 825, 2132, 6843, 7531, 3698, 1820, 8266, 263, 3650, 2567, 22322, 825, 952, 711, 2212, 281, 22322, 1038, 2132, 454, 825, 1247, 263, 3650, 2567, 22322, 1038, 1820, 2891, 24001, 2668, 8971, 263, 3650, 21606, 1070, 1439, 815, 834, 834, 264, 22322, 1038, 2212, 815, 2212, 12785, 454, 22322, 258, 30905, 3009, 22322, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 9166, 22322, 11434, 454, 825, 1948, 4132, 1592, 540, 476, 1724, 3097, 825, 1126, 1724, 815, 1007, 11966, 263, 1626, 264, 3097, 825, 1126, 1724, 269, 18876, 815, 1007, 11966, 263, 274, 264, 3097, 11434, 454, 825, 1948, 4132, 5903, 540, 476, 1015, 3097, 825, 2212, 272, 815, 1007, 11966, 263, 275, 264, 3097, 825, 2212, 272, 12785, 815, 1007, 11966, 263, 736, 264, 3097, 825, 2212, 272, 12785, 269, 18876, 815, 1007, 11966, 263, 273, 264, 1948, 21609, 540, 476, 736, 3097, 825, 2212, 272, 12785, 12785, 815, 1007, 11966, 263, 1724, 264, 3097, 825, 2212, 272, 12785, 12785, 269, 18876, 815, 1126, 1724, 3097, 11434, 454, 825, 1948, 4132, 540, 476, 280, 3097, 825, 1126, 280, 815, 1007, 11966, 263, 866, 264, 3097, 825, 1126, 280, 12785, 815, 1007, 11966, 263, 1428, 264, 3097, 22322, 825, 1948, 4132, 5903, 540, 476, 1704, 3097, 825, 1126, 1704, 815, 1007, 11966, 263, 280, 264, 3097, 825, 1126, 1704, 12785, 815, 1007, 11966, 263, 279, 264, 3097, 825, 1126, 1704, 269, 18876, 815, 1126, 280, 3097, 22322, 825, 1948, 4132, 5903, 540, 476, 278, 3097, 825, 2212, 273, 815, 1007, 11966, 263, 1704, 264, 3097, 825, 2212, 273, 12785, 815, 1007, 11966, 263, 277, 264, 3097, 825, 2212, 273, 269, 18876, 815, 1126, 1704, 3097, 11434, 454, 825, 1948, 6301, 5903, 3097, 825, 2212, 815, 1007, 11966, 263, 1015, 264, 3097, 825, 2212, 269, 18876, 815, 2212, 272, 3097, 825, 2212, 12785, 815, 1007, 11966, 263, 276, 264, 3097, 825, 2212, 12785, 12785, 815, 1007, 11966, 263, 1321, 264, 3097, 825, 2212, 12785, 12785, 12785, 815, 1007, 11966, 263, 278, 264, 3097, 825, 2212, 12785, 12785, 12785, 269, 18876, 815, 2212, 273, 3097, 825, 2212, 12785, 12785, 12785, 12785, 815, 1007, 11966, 263, 1556, 264, 3097, 22322, 825, 24609, 263, 3650, 264, 3097, 22322, 825, 1820, 19629, 14503, 520, 1084, 539, 1592, 568, 281, 14307, 1439, 815, 834, 8442, 22322, 825, 1820, 8266, 263, 3650, 264, 8528, 672, 692, 672, 692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7992, 5045, 547, 5045, 7147, 543, 6792, 563, 1103, 4832, 267, 596, 666, 1265, 873, 538, 21906, 1633, 267, 3168, 585, 5452, 543, 6978, 19512, 610, 519, 17573, 5521, 563, 1691, 269, 8832, 674, 5585, 518, 454, 301, 4899, 674, 5585, 619, 616, 1804, 3574, 701, 1188, 619, 267, 1063, 519, 2450, 540, 513, 3775, 514, 543, 513, 7715, 267, 609, 6960, 880, 7801, 543, 3109, 9634, 267, 13063, 267, 543, 524, 637, 30105, 543, 2699, 593, 519, 562, 1901, 269, 634, 9207, 1938, 540, 2766, 543, 13617, 17207, 616, 6505, 5835, 538, 9456, 5017, 543, 2699, 538, 7262, 5017, 563, 5445, 666, 581, 1336, 593, 519, 2666, 3168, 585, 17605, 543, 22404, 538, 18137, 610, 4104, 8728, 269, 8409, 602, 9742, 538, 4516, 610, 14522, 22109, 547, 7013, 2829, 267, 855, 6382, 267, 789, 666, 581, 1336, 782, 1032, 936, 519, 2539, 476, 4366, 563, 2791, 666, 4482, 811, 8832, 674, 5585, 619, 547, 707, 18147, 29650, 609, 647, 564, 543, 3109, 3282, 30011, 5452, 563, 1428, 269, 595, 25729, 654, 1314, 9405, 454, 290, 25729, 654, 1314, 342, 902, 616, 17715, 1514, 12779, 6960, 5017, 593, 519, 2212, 267, 9221, 267, 543, 30160, 267, 799, 535, 3547, 547, 12457, 593, 519, 1394, 543, 12209, 543, 2766, 269, 4256, 17987, 568, 12779, 5835, 267, 543, 972, 568, 6505, 5835, 593, 519, 9133, 269, 1358, 723, 513, 7522, 3109, 9633, 936, 741, 4064, 543, 6505, 2699, 593, 519, 13617, 339, 2354, 563, 5445, 9742, 538, 4516, 1354, 16144, 547, 519, 7013, 2475, 585, 5162, 269, 1358, 616, 17055, 782, 1032, 538, 7187, 2475, 2829, 269, 1358, 1118, 513, 1164, 1790, 17097, 1289, 543, 666, 581, 1336, 538, 10874, 787, 26965, 267, 538, 3574, 4133, 267, 543, 2059, 12535, 563, 2414, 4482, 595, 25729, 654, 1314, 342, 902, 547, 707, 18147, 267, 2030, 5065, 4054, 543, 19211, 609, 1507, 4829, 971, 607, 3028, 9440, 267, 2915, 6229, 267, 15118, 23803, 267, 5162, 9440, 267, 543, 17761, 628, 1941, 269, 1411, 666, 849, 2119, 4829, 593, 3760, 29650, 563, 1626, 269, 5600, 654, 1066, 454, 31359, 654, 27231, 616, 1507, 562, 1180, 525, 5296, 6960, 5017, 609, 18632, 3046, 1042, 12209, 543, 21217, 543, 513, 5493, 518, 11563, 269, 6601, 5338, 538, 1034, 2829, 1354, 4955, 7992, 547, 519, 2484, 5045, 543, 6792, 585, 5162, 563, 31359, 654, 27231, 666, 581, 1336, 538, 1394, 29288, 267, 11614, 543, 1930, 18137, 25061, 585, 7786, 267, 543, 20151, 267, 971, 607, 22404, 267, 30746, 267, 543, 1274, 342, 12127, 538, 11453, 25985, 269, 1358, 666, 1419, 581, 1336, 10069, 13443, 5577, 4771, 998, 8126, 956, 543, 1970, 8371, 609, 741, 21217, 909, 267, 16069, 547, 2206, 741, 28292, 5152, 563, 31359, 654, 27231, 616, 18979, 585, 741, 2450, 269, 1879, 621, 2501, 547, 3478, 519, 1655, 9566, 9475, 267, 789, 786, 1419, 3771, 817, 3677, 5017, 267, 3006, 1951, 21794, 5798, 610, 9566, 13530, 856, 540, 513, 9566, 3135, 789, 1616, 563, 2791, 666, 4482, 811, 5600, 654, 27231, 547, 707, 18147, 676, 6028, 25985, 540, 11453, 610, 8380, 909, 513, 9566, 4216, 563, 1704, 269, 5600, 5685, 577, 454, 31359, 5685, 2583, 723, 513, 2699, 2212, 543, 6089, 538, 519, 9038, 543, 6960, 3613, 516, 8898, 7801, 538, 519, 8951, 269, 21231, 267, 1152, 538, 7262, 2829, 789, 941, 5189, 547, 519, 9456, 2829, 543, 723, 2944, 1360, 1134, 267, 1256, 11319, 856, 519, 31947, 5685, 577, 563, 31359, 1710, 2583, 666, 581, 1336, 538, 11614, 267, 11396, 267, 4104, 8728, 267, 543, 18147, 29650, 269, 1358, 666, 581, 1336, 538, 26776, 2516, 602, 616, 2182, 547, 4413, 269, 5600, 1710, 577, 3049, 593, 5452, 267, 19512, 267, 543, 4829, 267, 1519, 555, 16824, 267, 28693, 267, 10027, 1845, 267, 3284, 878, 1824, 267, 726, 4548, 267, 22229, 267, 3109, 11241, 267, 543, 4453, 338, 563, 2791, 666, 4482, 811, 5600, 5685, 2583, 547, 18147, 29650, 609, 3109, 3282, 30011, 5452, 610, 562, 344, 329, 518, 5452, 538, 8546, 29650, 610, 3760, 29650, 563, 1240, 269, 14730, 31991, 9947, 1723, 454, 291, 1046, 31991, 9947, 6523, 616, 838, 541, 4900, 602, 616, 1114, 4778, 4470, 593, 519, 1533, 269, 1358, 616, 3622, 1793, 622, 23469, 538, 519, 7532, 543, 3109, 267, 3043, 267, 543, 6960, 538, 519, 7178, 563, 5445, 666, 581, 1336, 538, 1930, 543, 13148, 3574, 539, 2127, 267, 1419, 593, 519, 2666, 267, 543, 616, 1455, 2066, 519, 11782, 269, 2368, 2611, 17055, 782, 1032, 538, 519, 7262, 2475, 2829, 543, 538, 519, 29630, 1014, 15142, 269, 8409, 602, 9742, 538, 4516, 543, 14522, 22109, 5045, 538, 5162, 547, 1454, 540, 519, 2136, 2276, 563, 2791, 666, 4482, 811, 14730, 31991, 9947, 6523, 547, 18147, 29650, 609, 513, 3099, 540, 5452, 971, 607, 3109, 3282, 30011, 5452, 267, 562, 344, 329, 518, 267, 29618, 8970, 267, 2113, 2280, 267, 543, 30637, 269, 25957, 29650, 610, 16559, 593, 519, 2666, 616, 1655, 563, 866, 269, 14117, 8573, 22981, 2782, 321, 2401, 454, 312, 3641, 8573, 22981, 2782, 4565, 619, 616, 12457, 609, 30303, 540, 5835, 593, 519, 3068, 267, 5011, 267, 543, 678, 2794, 543, 3043, 538, 519, 12209, 269, 12339, 2297, 949, 581, 5594, 6960, 267, 543, 5162, 5017, 616, 5493, 518, 6960, 609, 6505, 5835, 678, 7927, 543, 5011, 7432, 6505, 5835, 543, 12457, 1586, 538, 5614, 563, 5475, 9960, 15866, 538, 4516, 267, 789, 22109, 538, 1804, 2338, 5045, 2066, 1034, 540, 519, 7013, 543, 3844, 2829, 543, 519, 7414, 11076, 267, 543, 2429, 6792, 543, 6239, 3013, 563, 312, 3641, 8573, 22981, 2782, 4565, 619, 666, 581, 1336, 538, 598, 26448, 7733, 267, 2523, 1282, 519, 9960, 4005, 269, 4438, 5162, 267, 789, 666, 581, 1336, 538, 1930, 2127, 609, 2927, 1746, 19211, 269, 769, 4832, 267, 789, 3548, 7786, 5097, 543, 593, 9194, 267, 543, 538, 5162, 267, 789, 6140, 4829, 267, 1519, 15922, 9440, 543, 14589, 1250, 337, 1479, 563, 2791, 666, 4482, 14117, 8573, 22981, 2782, 4565, 619, 547, 707, 18147, 609, 30011, 5452, 267, 647, 564, 267, 986, 529, 1231, 267, 543, 24113, 7423, 563, 736, 269, 9412, 623, 15607, 517, 454, 305, 1442, 623, 15607, 976, 616, 4544, 880, 12457, 609, 1079, 3109, 13164, 593, 519, 13617, 543, 3109, 593, 519, 2766, 9133, 269, 1358, 723, 3352, 1938, 1417, 11563, 17207, 543, 10538, 4064, 563, 5445, 616, 1455, 538, 4872, 855, 849, 3643, 1394, 29288, 547, 1265, 1426, 593, 519, 2666, 269, 2368, 4872, 723, 3921, 514, 1734, 1996, 8023, 25190, 976, 607, 789, 616, 2808, 10860, 563, 2641, 269, 670, 8543, 8381, 701, 14982, 454, 763, 670, 8543, 8381, 701, 14982, 666, 581, 1336, 2066, 1034, 540, 3345, 3013, 267, 4849, 930, 540, 519, 2484, 5045, 269, 1358, 723, 513, 1507, 8755, 540, 2699, 693, 519, 1394, 540, 741, 9843, 855, 616, 15866, 3109, 543, 3043, 563, 5445, 616, 5594, 3677, 982, 741, 1413, 899, 519, 13560, 344, 8381, 701, 14982, 543, 609, 513, 3476, 3915, 269, 1358, 666, 581, 1336, 538, 1804, 4054, 543, 666, 581, 4862, 26378, 952, 596, 6432, 585, 873, 563, 295, 8543, 8381, 701, 14982, 779, 2732, 568, 6140, 7786, 267, 2523, 16793, 540, 3574, 1532, 1681, 22404, 855, 849, 17605, 267, 22404, 267, 10987, 267, 729, 1186, 267, 30746, 267, 543, 20151, 563, 2791, 666, 4482, 811, 670, 8543, 8381, 701, 1188, 619, 609, 647, 564, 29650, 267, 855, 849, 24113, 543, 3109, 3282, 30011, 5452, 267, 2523, 538, 5162, 563, 2420, 269, 3864, 10060, 1782, 454, 28158, 10060, 13530, 616, 711, 5065, 855, 616, 1631, 835, 540, 519, 1034, 3875, 5152, 18346, 269, 1358, 616, 6006, 344, 3109, 5017, 609, 3352, 1938, 1417, 13711, 267, 3039, 267, 543, 4544, 18565, 563, 8256, 30872, 513, 11641, 676, 930, 1813, 547, 741, 10728, 2623, 267, 891, 5017, 8038, 538, 1804, 267, 26776, 1166, 4169, 543, 666, 581, 2938, 829, 3481, 538, 2516, 593, 519, 1283, 540, 4054, 610, 10760, 936, 4610, 538, 1166, 4169, 563, 30252, 13530, 3548, 15866, 7786, 267, 1519, 22404, 267, 13733, 543, 30746, 267, 3618, 19095, 267, 543, 20151, 269, 1358, 849, 3548, 4829, 267, 1519, 10027, 1845, 267, 2868, 569, 15708, 267, 15273, 11241, 267, 9098, 595, 872, 704, 267, 2040, 659, 267, 543, 3109, 11241, 267, 607, 1134, 607, 9274, 543, 5452, 563, 2791, 666, 4482, 811, 3864, 10060, 13530, 547, 707, 18147, 29650, 609, 3109, 3282, 30011, 5452, 267, 647, 564, 267, 29618, 8970, 267, 543, 30637, 563, 2419, 6235, 590, 1706, 4900, 616, 28795, 267, 1279, 26904, 5017, 609, 513, 12457, 880, 17987, 543, 6960, 543, 3109, 3613, 516, 8898, 1394, 267, 609, 513, 15309, 344, 13862, 543, 3109, 3750, 1899, 269, 769, 5162, 267, 519, 4778, 616, 811, 1016, 706, 539, 563, 17954, 5338, 936, 1454, 540, 3345, 3013, 543, 4516, 1287, 10760, 547, 6792, 543, 8419, 610, 538, 519, 2484, 5045, 267, 789, 2611, 782, 1032, 563, 5445, 666, 581, 1336, 538, 1507, 1166, 4169, 593, 1930, 2666, 543, 2097, 547, 1394, 29288, 585, 1082, 5686, 540, 6177, 23092, 563, 2190, 269, 14205, 20087, 590, 1706, 992, 454, 2252, 596, 1205, 513, 2673, 2614, 1413, 267, 596, 786, 1294, 713, 6960, 838, 5535, 814, 513, 10058, 5835, 15429, 676, 519, 3750, 269, 1358, 723, 2110, 21217, 543, 513, 1792, 21294, 6960, 7801, 563, 763, 9742, 538, 4516, 543, 519, 2475, 1354, 4955, 7992, 547, 8828, 2276, 543, 6792, 269, 1452, 5017, 798, 711, 5781, 3643, 29650, 267, 855, 789, 949, 3643, 707, 13452, 952, 596, 1832, 11453, 25985, 267, 723, 1279, 6371, 267, 543, 2661, 2282, 4610, 563, 5445, 3049, 593, 7786, 543, 20151, 538, 519, 9960, 4005, 543, 5452, 538, 519, 5162, 563, 1839, 269, 9466, 32567, 21582, 12704, 454, 31342, 32567, 21582, 12704, 9038, 616, 3109, 1532, 617, 1221, 543, 6960, 32567, 4563, 18346, 609, 2110, 21217, 543, 5394, 9843, 269, 12339, 2297, 616, 6960, 782, 936, 609, 13581, 1792, 1136, 563, 5445, 616, 1419, 2808, 513, 562, 7572, 766, 607, 789, 6861, 519, 5798, 540, 4130, 5152, 18346, 865, 602, 789, 666, 2482, 741, 5798, 538, 519, 9566, 543, 723, 519, 6177, 6536, 741, 32138, 563, 5445, 9742, 538, 1454, 540, 519, 5087, 543, 7178, 540, 3345, 3013, 1354, 16144, 2417, 5045, 855, 2611, 782, 1032, 538, 519, 8109, 543, 8828, 2829, 543, 7414, 11076, 563, 2918, 269, 1977, 7108, 325, 333, 577, 454, 13563, 7108, 21129, 2583, 616, 2442, 5017, 609, 519, 9038, 6505, 5835, 543, 3109, 7801, 538, 5614, 269, 634, 8951, 616, 811, 20585, 6960, 267, 607, 616, 9038, 538, 5162, 563, 13563, 7108, 21129, 2583, 9742, 538, 2484, 7187, 2829, 543, 4516, 1354, 4955, 7992, 547, 7013, 2829, 269, 1358, 2611, 782, 1032, 538, 519, 1964, 540, 519, 772, 2529, 563, 5445, 666, 581, 1336, 538, 649, 9037, 4610, 543, 936, 326, 3497, 2127, 25061, 585, 30011, 267, 555, 16824, 267, 543, 14531, 2371, 269, 1358, 616, 849, 1455, 538, 1016, 31755, 267, 11614, 267, 543, 1394, 29288, 563, 2414, 4482, 811, 1977, 7108, 21129, 2583, 547, 707, 18147, 267, 2119, 9544, 555, 30178, 543, 5144, 15634, 269, 1358, 786, 3643, 1034, 6177, 29650, 543, 4782, 30011, 6079, 543, 562, 344, 329, 518, 6079, 563, 2767, 269, 14576, 590, 1706, 992, 454, 306, 784, 838, 541, 4900, 616, 711, 607, 7415, 607, 824, 18147, 5017, 267, 855, 891, 15866, 6960, 3613, 516, 8898, 5017, 946, 741, 3592, 3586, 5152, 547, 4482, 29982, 538, 5614, 543, 4832, 563, 5445, 666, 581, 1336, 538, 1930, 267, 21906, 2421, 267, 543, 6632, 2127, 267, 1419, 829, 3481, 593, 513, 1970, 21906, 13465, 269, 1358, 616, 1419, 1336, 693, 18147, 29650, 563, 306, 784, 590, 1706, 4900, 3548, 513, 2647, 3099, 540, 7786, 543, 2371, 267, 1519, 22404, 267, 30746, 267, 4571, 2471, 267, 20151, 267, 543, 3618, 19095, 269, 1358, 786, 849, 3548, 11369, 342, 17742, 267, 30011, 267, 678, 5684, 11241, 267, 3552, 10027, 1845, 267, 3109, 11241, 267, 10568, 267, 543, 7573, 563, 2791, 666, 4482, 811, 5152, 838, 541, 4900, 547, 707, 18147, 29650, 676, 8380, 3109, 3282, 30011, 5452, 267, 29618, 8970, 267, 543, 562, 344, 329, 518, 593, 3760, 29650, 563, 2764, 269, 6519, 6253, 549, 730, 590, 1706, 992, 454, 19669, 6253, 549, 730, 590, 1706, 4900, 723, 513, 10058, 3109, 543, 3043, 4174, 6244, 2212, 267, 6505, 3043, 11563, 267, 543, 5835, 1063, 519, 3750, 543, 3915, 269, 4256, 19758, 616, 6960, 267, 543, 18284, 568, 12457, 563, 5445, 616, 27436, 5017, 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 ]
[ 7742, 280, 17352, 692, 310, 5942, 14871, 692, 1220, 280, 268, 1015, 268, 3066, 476, 4905, 281, 6349, 281, 6349, 692, 2190, 270, 275, 815, 476, 277, 0, 5226, 663, 2456, 543, 2372, 7685, 28982, 267, 1250, 3959, 568, 476, 1556, 267, 280, 1691, 4009, 10264, 269, 1215, 1454, 540, 513, 23505, 568, 713, 286, 476, 18987, 18987, 18987, 7673, 3396, 1109, 476, 18987, 18987, 18987, 18987, 7673, 1109, 8729, 267, 476, 18987, 18987, 18987, 18987, 7673, 3396, 8230, 19743, 8230, 267, 2290, 23505, 568, 476, 6246, 267, 28794, 4009, 3952, 865, 476, 1556, 267, 280, 1691, 4009, 3952, 568, 476, 1109, 1556, 267, 280, 1691, 270, 6246, 267, 28794, 815, 476, 271, 269, 2767, 14143, 269, 1924, 707, 3959, 568, 513, 2370, 811, 982, 513, 10116, 540, 606, 23505, 269, 623, 10154, 3619, 547, 4569, 6239 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 889, 17331, 28471, 323, 6425, 269, 10555, 11401, 269, 2480, 776, 2025, 2021, 269, 5345, 559, 1225, 4513, 269, 1452, 616, 930, 1919, 1869, 2404, 609, 26734, 2221, 267, 855, 713, 8305, 9189, 7153, 7366, 540, 1296, 3516, 269, 16024, 2103, 1631, 3858, 972, 568, 1100, 2963, 602, 1022, 968, 342, 3558, 1381, 892, 2965, 11478, 269, 11048, 267, 538, 519, 31303, 543, 27867, 5553, 606, 6059, 476, 2004, 267, 1822, 1004, 630, 2865, 569, 2021, 264, 941, 2322, 547, 2669, 585, 519, 6760, 540, 31783, 269, 1548, 3366, 1004, 547, 3494, 538, 26734, 286, 1656, 1946, 941, 2021, 811, 4122, 6098, 538, 18338, 8062, 286, 901, 6881, 786, 2232, 891, 2055, 607, 1134, 607, 519, 15265, 12556, 540, 1346, 15034, 540, 31783, 563, 1607, 568, 513, 9365, 6566, 328, 699, 2680, 267, 1100, 14261, 2877, 269, 3220, 269, 12794, 553, 786, 7390, 713, 3381, 6881, 609, 721, 267, 543, 666, 2626, 707, 2055, 11643, 538, 519, 10004, 269, 0, 6826, 2246, 3814, 2021, 540, 4000, 1107, 875, 547, 4266, 873, 888, 3918, 4696, 27749, 4165, 324, 31616, 3332, 3979, 4892, 9250, 741, 3332, 538, 3345, 3013, 1282, 519, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 267, 11836, 519, 2112, 540, 1913, 1063, 4789, 543, 922, 15141, 1190, 10125, 609, 513, 2027, 2631, 540, 5692, 269, 1290, 19397, 9954, 538, 513, 2647, 2039, 540, 8106, 11964, 2073, 5453, 520, 2917, 729, 5462, 547, 1397, 676, 1200, 17117, 540, 1106, 543, 25451, 267, 607, 1134, 607, 676, 1200, 533, 1190, 543, 4121, 5396, 267, 602, 513, 3109, 10564, 729, 607, 5827, 540, 7499, 4082, 607, 513, 3043, 10564, 269, 31888, 593, 15316, 23527, 3177, 513, 3532, 4661, 1996, 519, 5294, 18561, 1543, 542, 602, 519, 5821, 540, 3979, 9082, 547, 2328, 3978, 3332, 729, 6169, 540, 741, 7214, 14413, 638, 9313, 543, 741, 8516, 585, 17760, 29713, 269, 634, 6965, 543, 28005, 976, 540, 519, 21086, 10553, 18347, 30623, 517, 2443, 7790, 589, 3703, 12504, 945, 1185, 4810, 17760, 29713, 538, 519, 17113, 267, 4982, 10730, 814, 1044, 12926, 9833, 267, 2059, 609, 5453, 520, 2917, 267, 607, 519, 13653, 540, 3979, 3332, 538, 2296, 676, 16495, 540, 1010, 2348, 10660, 1229, 519, 10553, 2239, 2073, 513, 20250, 5339, 21981, 1996, 8474, 799, 267, 676, 519, 2038, 476, 866, 628, 2540, 267, 12236, 585, 3979, 1977, 3332, 513, 24567, 3988, 1222, 538, 6628, 607, 1134, 607, 538, 519, 2136, 2276, 269, 10765, 1382, 267, 2705, 267, 814, 6659, 2055, 827, 2436, 4982, 10730, 729, 4535, 606, 16384, 2692, 594, 2692, 538, 4000, 267, 607, 646, 6811, 538, 1010, 26249, 269, 769, 519, 9000, 540, 14046, 13618, 593, 891, 11786, 6927, 267, 634, 21624, 21931, 3788, 513, 11358, 1257, 538, 9446, 532, 4000, 607, 9444, 25432, 1649, 32484, 6862, 15520, 18807, 855, 2864, 607, 513, 2203, 540, 1514, 10103, 1219, 6150, 676, 16402, 12677, 26846, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 519, 3044, 15515, 31600, 540, 3979, 1977, 3332, 12038, 609, 4463, 2287, 23473, 540, 519, 991, 585, 16543, 547, 2232, 519, 15265, 5609, 540, 8474, 563, 296, 1087, 320, 543, 18039, 3245, 670, 19447, 779, 769, 31261, 9894, 333, 1406, 5620, 1677, 16505, 5455, 1403, 1358, 918, 2908, 1452, 476, 274, 12085, 454, 1607, 1522, 581, 1317, 875, 1352, 5654, 13292, 811, 1018, 3109, 16921, 1265, 10694, 269, 1280, 1383, 1352, 1522, 581, 1932, 2019, 340, 696, 6681, 585, 2199, 16921, 269, 2107, 6148, 1200, 905, 626, 344, 7209, 1522, 2490, 1055, 7489, 16921, 1932, 1454, 269, 4107, 540, 891, 6690, 616, 883, 3109, 16921, 616, 849, 883, 31177, 6953, 641, 2528, 563, 8649, 680, 4328, 3979, 1977, 9739, 998, 2797, 267, 1514, 5126, 267, 9913, 543, 2686, 3377, 269, 2353, 3109, 2729, 17330, 547, 2995, 741, 2984, 563, 763, 1592, 729, 4904, 609, 513, 1297, 540, 16805, 2367, 543, 2021, 945, 4076, 1500, 513, 1665, 593, 519, 5816, 14459, 267, 855, 1310, 519, 1592, 729, 5950, 267, 972, 729, 930, 6161, 602, 649, 1152, 5031, 519, 1482, 1079, 18797, 610, 865, 8188, 1169, 942, 972, 779, 2911, 827, 4563, 21075, 269, 1924, 1934, 779, 513, 26940, 1592, 540, 4563, 2021, 5816, 7970, 596, 991, 547, 1039, 547, 707, 681, 7704, 3049, 5467, 5612, 269, 634, 1592, 568, 5258, 883, 476, 274, 2694, 267, 865, 581, 2386, 547, 2638, 1394, 563, 763, 1641, 2339, 3006, 26136, 883, 519, 13943, 267, 855, 519, 1603, 2760, 7959, 7142, 267, 543, 899, 1022, 6580, 5816, 267, 3006, 519, 8292, 616, 607, 1434, 607, 519, 2022, 269, 700, 1662, 7701, 8361, 540, 590, 16695, 306, 1619, 1107, 1403, 596, 6108, 707, 960, 1554, 3206, 540, 875, 596, 3580, 6368, 9101, 707, 7750, 1834, 585, 1434, 267, 5487, 4537, 7701, 8361, 779, 5816, 568, 513, 1590, 1224, 269, 2701, 779, 513, 3811, 1151, 641, 16867, 584, 945, 8843, 519, 1702, 1352, 779, 29742, 539, 3478, 5796, 689, 1200, 1082, 2228, 26136, 563, 288, 1514, 3060, 5176, 2021, 2178, 945, 2097, 1927, 547, 2709, 1142, 824, 1489, 543, 19015, 269, 14472, 24297, 774, 584, 2006, 540, 8414, 4563, 19716, 1107, 4107, 540, 721, 616, 16111, 5275, 547, 581, 938, 1655, 30441, 267, 543, 713, 2123, 1646, 5816, 1223, 948, 596, 593, 707, 3460, 269, 3117, 626, 1836, 8242, 609, 3532, 18759, 543, 1582, 268, 3530, 3305, 725, 267, 621, 779, 519, 4998, 2228, 10278, 585, 1346, 2395, 950, 519, 22774, 1175, 3884, 1406, 2614, 563, 8702, 547, 12760, 1107, 4168, 6580, 585, 1863, 256, 634, 1152, 11613, 11207, 1863, 4168, 6580, 3028, 602, 3217, 16995, 12632, 543, 1085, 27980, 12517, 1818, 721, 519, 32343, 543, 3143, 269, 2637, 9334, 4168, 2206, 956, 1152, 1107, 1100, 16995, 13875, 689, 721, 267, 28417, 267, 1402, 13522, 610, 8290, 563, 3383, 1577, 803, 2671, 513, 2370, 3787, 827, 519, 3162, 3979, 2367, 269, 5808, 267, 676, 519, 1259, 267, 4043, 547, 581, 7168, 1434, 3168, 2507, 23532, 16844, 25441, 3162, 3979, 2367, 666, 7494, 4268, 4470, 593, 1141, 519, 18560, 596, 616, 6580, 8057, 909, 269, 1403, 596, 1616, 547, 1265, 856, 827, 513, 1808, 2528, 267, 519, 1655, 3364, 547, 798, 568, 547, 1413, 883, 602, 2528, 563, 296, 960, 538, 513, 10034, 1222, 543, 6318, 3214, 689, 519, 10034, 1222, 543, 519, 6497, 1275, 538, 519, 10034, 1222, 568, 1360, 1114, 689, 824, 2694, 540, 15729, 16011, 267, 607, 1134, 607, 824, 10034, 4721, 538, 15729, 16011, 269, 1358, 3362, 10004, 909, 2021, 267, 1376, 7391, 543, 899, 2348, 513, 14902, 269, 9796, 532, 519, 9291, 4107, 3162, 3979, 16921, 4043, 547, 2628, 519, 3915, 585, 513, 4807, 269, 3162, 4000, 568, 513, 3787, 811, 3864, 982, 267, 1134, 267, 3013, 1498, 267, 865, 621, 2731, 5673, 563, 296, 1131, 2161, 596, 1058, 1869, 2709, 547, 2628, 585, 3054, 547, 1294, 875, 519, 18560, 20781, 269, 25441, 1703, 568, 513, 811, 1977, 6580, 2528, 538, 3162, 4000, 982, 538, 2342, 267, 899, 596, 2965, 979, 593, 7389, 609, 1004, 607, 10353, 547, 1175, 13793, 856, 269, 1717, 267, 519, 2489, 2856, 568, 602, 596, 13793, 856, 609, 2576, 269, 1403, 596, 1376, 12008, 1927, 1310, 930, 942, 540, 16304, 856, 1927, 8458, 616, 596, 1831, 12600, 563, 24154, 320, 532, 769, 3162, 4000, 649, 723, 2909, 9820, 269, 12791, 649, 723, 3046, 13069, 1132, 563, 10403, 32310, 568, 3767, 7046, 2336, 2005, 568, 2182, 547, 3494, 602, 1250, 1101, 2462, 1554, 15832, 30150, 5949, 538, 513, 2197, 602, 594, 993, 711, 689, 543, 609, 513, 18560, 945, 568, 711, 4457, 269, 1809, 594, 1589, 621, 1175, 1500, 519, 2898, 3364, 1187, 267, 3579, 543, 12300, 269, 1656, 646, 729, 1318, 269, 4208, 798, 4892, 723, 891, 2462, 2078, 12909, 286, 5565, 1977, 6690, 2911, 827, 741, 2833, 2348, 968, 1492, 2911, 892, 4270, 267, 972, 616, 865, 1082, 2010, 540, 3347, 538, 519, 772, 269, 5637, 1004, 723, 547, 3858, 952, 789, 616, 2907, 538, 610, 1616, 547, 1847, 883, 513, 2078, 267, 799, 11887, 2436, 789, 798, 519, 966, 28233, 3364, 1927, 563, 6524, 649, 979, 1022, 2417, 1577, 803, 2161, 513, 1906, 1919, 269, 3143, 267, 594, 4076, 2760, 18584, 513, 20299, 4618, 812, 269, 1656, 1100, 267, 594, 6557, 711, 1256, 689, 25706, 269, 1924, 1018, 568, 713, 25463, 27365, 8004, 2469, 547, 2995, 596, 827, 6580, 513, 20299, 4618, 563, 3528, 29270, 543, 7234, 891, 1919, 267, 649, 949, 2965, 2253, 547, 2736, 519, 4672, 2560, 602, 594, 993, 2386, 596, 3858, 1419, 6818, 1063, 20338, 543, 3979, 4892, 269, 769, 607, 1454, 607, 1250, 9837, 568, 711, 547, 2489, 1125, 610, 8305, 9189, 267, 594, 993, 1603, 713, 2376, 1759, 593, 1483, 1272, 2833, 543, 2621, 269, 2423, 17067, 713, 1032, 267, 594, 3494, 538, 5130, 267, 513, 7817, 15336, 883, 1250, 5604, 267, 1010, 2012, 808, 291, 594, 993, 2386, 646, 568, 2469, 547, 1224, 713, 2376, 563, 3891, 729, 513, 1101, 942, 7817, 267, 865, 649, 3459, 547, 669, 527, 10004, 607, 594, 5249, 593, 1010, 4574, 269, 7937, 1134, 267, 646, 3081, 3833, 513, 1906, 3979, 2367, 646, 6487, 616, 7189, 2560, 688, 267, 3873, 267, 3873, 269, 12287, 958, 267, 594, 1152, 917, 513, 19625, 540, 6690, 689, 4000, 945, 616, 9310, 547, 3109, 1977, 2367, 269, 1924, 267, 16462, 547, 917, 1018, 1250, 2828, 2219, 267, 594, 11540, 713, 2243, 593, 1250, 9365, 2985, 281, 2290, 540, 1250, 7218, 267, 606, 3979, 1977, 5256, 4280, 803, 606, 4277, 2243, 519, 824, 1554, 281, 594, 786, 17412, 873, 883, 519, 1739, 2798, 281, 589, 7008, 540, 6690, 5433, 602, 519, 3979, 4892, 4043, 547, 1589, 602, 789, 616, 9120, 547, 20338, 267, 6029, 1447, 2463, 585, 873, 982, 519, 24272, 553, 2103, 945, 616, 811, 1930, 547, 1565, 827, 1114, 4529, 563, 8253, 1454, 538, 1455, 27284, 2686, 3604, 4196, 607, 513, 5458, 7941, 1063, 1312, 2516, 282, 789, 798, 711, 2671, 519, 1482, 2418, 585, 519, 1034, 851, 563, 12648, 1520, 2779, 720, 540, 29530, 8890, 6776, 779, 589, 5960, 25441, 16869, 1047, 454, 303, 514, 898, 1306, 513, 3109, 812, 594, 1745, 602, 513, 2603, 540, 2021, 991, 948, 950, 621, 2501, 547, 6580, 3109, 2367, 269, 1809, 1919, 666, 1869, 1205, 16602, 269, 2986, 1576, 267, 6580, 568, 16602, 2614, 607, 621, 568, 267, 855, 950, 596, 1039, 2686, 3604, 267, 14845, 14868, 543, 2462, 582, 787, 267, 10188, 519, 14099, 540, 6580, 3109, 2367, 666, 581, 513, 9553, 7615, 269, 2986, 1576, 267, 972, 568, 1100, 835, 1826, 540, 3109, 812, 563, 1321, 12085, 1411, 10261, 547, 5700, 6969, 25441, 513, 3162, 3979, 21756, 269, 21213, 593, 5147, 476, 1428, 267, 543, 1022, 1106, 540, 4568, 568, 1572, 513, 968, 323, 641, 6100, 1403, 596, 1376, 6580, 513, 3162, 3979, 8004, 267, 596, 3580, 1376, 16116, 909, 593, 1913, 596, 4076, 2760, 4862, 538, 707, 1272, 1354, 269, 634, 2376, 1058, 2864, 581, 13886, 968, 1321, 12085, 1411, 10261, 547, 5700, 6969, 25441, 606, 2279, 27996, 753, 563, 2691, 513, 4807, 31376, 593, 513, 812, 267, 789, 3409, 267, 1010, 24178, 568, 20015, 2213, 543, 646, 2115, 547, 1265, 513, 4807, 945, 666, 2648, 1864, 998, 1010, 22705, 543, 17498, 269, 1809, 3025, 568, 6158, 827, 713, 2078, 689, 519, 5133, 540, 741, 1378, 2833, 269, 594, 1616, 1689, 519, 6643, 543, 2709, 1776, 5133, 607, 513, 6580, 16455, 543, 835, 540, 519, 1283, 2078, 4966, 585, 3318, 4563, 2021, 563, 2690, 1383, 267, 519, 14221, 13613, 2511, 568, 6353, 676, 606, 7920, 5397, 547, 1831, 4448, 547, 707, 7649, 2038, 593, 538, 513, 2078, 269, 5637, 540, 891, 6163, 1711, 22584, 538, 513, 2078, 543, 2014, 1142, 1268, 547, 957, 856, 547, 556, 652, 28344, 3346, 609, 519, 7649, 543, 1205, 741, 2115, 1558, 269, 23821, 710, 543, 670, 11839, 2285, 1896, 1806, 540, 9117, 856, 1519, 912, 16032, 681, 1231, 525, 585, 7849, 3979, 1977, 22458, 454, 27094, 12034, 1100, 2681, 269, 1411, 954, 24055, 6580, 3460, 568, 1175, 4098, 256, 23897, 1343, 540, 3043, 2021, 543, 3109, 2367, 723, 1044, 5870, 593, 713, 3135, 543, 2813, 954, 24055, 15185, 1967, 2984, 540, 741, 1378, 267, 711, 547, 2446, 519, 5215, 540, 3109, 2021, 543, 3043, 2367, 6580, 543, 4466, 2648, 593, 713, 3896, 1932, 269, 17266, 3109, 1004, 5870, 2582, 3043, 1004, 568, 1946, 649, 616, 1934, 563, 8340, 2582, 2367, 543, 2582, 2021, 538, 707, 2199, 1858, 2221, 543, 1376, 6580, 267, 2743 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2811, 513, 19444, 610, 606, 4359, 2875, 267, 713, 2979, 1983, 4199, 814, 596, 4988, 609, 922, 2143, 1900, 8386, 9912, 3435, 267, 7317, 12449, 267, 543, 5363, 1806, 907, 1411, 666, 849, 2322, 4834, 610, 2042, 543, 1205, 2979, 4267, 609, 2143, 3268, 267, 12449, 267, 543, 1806, 267, 1818, 621, 513, 3014, 7302, 9734, 950, 621, 2501, 547, 4466, 27250, 277, 269, 13507, 629, 269, 7831, 855, 711, 2547, 568, 13507, 629, 267, 24903, 835, 540, 519, 1655, 2979, 1151, 951, 856, 972, 269, 13507, 629, 568, 513, 12985, 2599, 602, 2337, 596, 547, 1174, 543, 4194, 1950, 2852, 7400, 2979, 2042, 269, 13507, 629, 814, 5280, 1053, 547, 4194, 936, 476, 272, 5479, 2979, 2042, 609, 2312, 1900, 8386, 9912, 3137, 543, 15997, 780, 763, 18175, 24612, 5616, 9612, 666, 1631, 10994, 811, 1950, 3029, 540, 2979, 899, 11810, 543, 29890, 269, 2353, 596, 723, 547, 798, 568, 1826, 538, 519, 3830, 610, 7533, 883, 519, 1257, 3046, 693, 519, 1283, 610, 1491, 513, 27250, 2420, 269, 476, 279, 7454, 4569, 12226, 15750, 2572, 692, 10267, 1375, 4569, 3752, 591, 269, 476, 279, 269, 4569, 303, 23981, 269, 476, 280, 269, 717, 2246, 327, 4118, 269, 476, 272, 269, 4569, 3118, 269, 4569, 3118, 568, 513, 2979, 4267, 3896, 602, 2488, 1900, 8386, 9912, 3435, 547, 2979, 2042, 267, 4543, 596, 1174, 875, 547, 4194, 1950, 2042, 269, 4569, 3118, 666, 948, 596, 609, 513, 2647, 2039, 540, 2979, 2042, 267, 689, 2596, 7223, 547, 1950, 11810, 780, 2537, 269, 3642, 4569, 9046, 3752, 591, 692, 16987, 1466, 519, 7454, 4569, 3642, 14581, 3752, 591, 269, 3911, 617, 514, 4569, 3642, 14581, 3752, 591, 568, 519, 1034, 4359, 543, 6325, 3070, 585, 782, 707, 2979, 10467, 269, 6787, 596, 2811, 513, 1164, 1153, 610, 2852, 2875, 267, 3911, 617, 514, 3642, 24626, 666, 948, 596, 10994, 1256, 519, 1034, 4101, 2042, 269, 12315, 621, 513, 2119, 2221, 543, 1995, 519, 13418, 543, 6111, 540, 3911, 617, 514, 27250, 8253, 1175, 2979, 2042, 855, 1007, 10311, 786, 849, 948, 3755, 538, 6061, 7294, 6323, 2042, 1985, 547, 9511, 607, 1134, 267, 5616, 6941, 538, 519, 23318, 2022, 269, 634, 1007, 4183, 2882, 519, 27250, 1839, 269, 4569, 14581, 6435, 281, 589, 6651, 547, 519, 7454, 3642, 4569, 3752, 591, 540, 476, 1708, 274, 692, 11328, 5562, 9119, 568, 849, 3015, 693, 1022, 942, 540, 519, 1554, 610, 3781, 269, 1411, 666, 11690, 4834, 538, 950, 16081, 2719, 693, 476, 273, 7537, 610, 2911, 609, 513, 1134, 3491, 13559, 4364, 30292, 693, 28813, 269, 9521, 1268, 3562, 16512, 23468, 2533, 267, 596, 4465, 1405, 991, 547, 7227, 2394, 2834, 1870, 3108, 269, 898, 781, 10375, 543, 2500, 780, 2791, 666, 3274, 1826, 707, 3830, 610, 7533, 883, 519, 9612, 3046, 267, 610, 1491, 513, 4605, 609, 30776, 267, 543, 596, 786, 1294, 513, 1900, 8386, 9912, 7778, 543, 3070, 269, 4746, 267, 596, 666, 1826, 834, 4118, 24626, 257, 547, 27250, 2767, 269, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 476, 275, 266, 692, 4504, 18166, 938, 5499, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 813, 256, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 3947, 596, 19957, 1569, 547, 2979, 3435, 602, 666, 948, 596, 1174, 1950, 2035, 269, 15439, 1448, 707, 8254, 543, 26882, 513, 8666, 610, 1826, 707, 2979, 6780, 2243, 585, 1900, 8386, 9912, 4267, 267, 713, 813, 568, 519, 3501, 3070, 585, 782, 707, 27250, 2764, 269, 5616, 9612, 1772, 10435, 898, 31418, 1512, 1280, 1411, 1677, 16534, 4569, 267, 3163, 27250, 11386, 814, 5063, 5189, 1713, 10311, 547, 922, 9612, 543, 30776, 2934, 267, 6322, 693, 21528, 6267, 609, 1950, 2042, 538, 13241, 630, 16631, 267, 5303, 267, 7177, 267, 543, 9119, 27250, 3066, 269, 4197, 14069, 543, 4039, 1049, 13096, 629, 1162, 9539, 990, 269, 476, 279, 267, 476, 1708, 274, 692, 13043, 2243, 269, 476, 1691, 1341, 476, 272, 815, 16534, 713, 2241, 2979, 1966, 543, 4283, 519, 1267, 269, 661, 3052, 269, 585, 476, 272, 266, 274, 267, 4283, 476, 275, 269, 4427, 2466, 269, 11261, 281, 8734, 476, 279, 267, 476, 1708, 274, 910, 7926, 3399, 5384, 269, 476, 1321, 281, 876, 10681, 547, 3267, 1411, 3513, 4734, 891, 1357, 21577, 609, 1569, 547, 2866, 13838, 602, 786, 948, 596, 2259, 891, 1983, 543, 1020, 6015, 269, 29140, 476, 272, 910, 667, 5519, 560, 4328, 14069, 780, 1789, 269, 16534, 692, 18204, 1674, 269, 3980, 360, 476, 4905, 1535, 324, 6629, 343, 273, 11459, 269, 7799, 1080, 269, 1535, 20681, 6629, 274, 3916, 1535, 273, 1341, 476, 273, 343, 6567, 476, 274, 343, 273, 6567, 476, 280, 269, 6732, 2979, 24626, 609, 1863, 1900, 676, 1900, 3435, 547, 7223, 267, 11810, 267, 543, 824, 2979, 2042, 269, 5192, 948, 593, 519, 1357, 610, 609, 938, 2979, 813, 269, 0, 258, 476, 27420, 3848, 1299, 9046, 14572, 609, 24908, 10606, 543, 31353, 700, 269, 3503, 519, 8918, 6697, 540, 13718, 27420, 3848, 1299, 9046, 14572, 609, 24908, 10606, 543, 31353, 700, 269, 3503, 519, 8918, 6697, 540, 519, 1739, 8454, 476, 1015, 267, 1822, 476, 1911, 634, 8454, 538, 9046, 476, 272, 616, 782, 1697, 8454, 543, 616, 6697, 547, 17447, 4171, 8870, 851, 568, 2141, 476, 271, 269, 31353, 4171, 538, 773, 3455, 2694, 616, 1875, 320, 3266, 616, 6697, 547, 544, 2213, 2338, 634, 2179, 540, 5378, 4088, 538, 519, 1560, 540, 513, 476, 5611, 11013, 1268, 568, 476, 275, 269, 276, 268, 6550, 269, 2947, 2389, 5460, 338, 2437, 476, 275, 8204, 519, 8870, 851, 543, 568, 519, 634, 8918, 476, 275, 269, 276, 568, 1224, 607, 834, 27917, 543, 476, 275, 27847, 851, 7151, 25166, 1679, 519, 8918, 476, 8064, 269, 4792, 274, 538, 2474, 540, 922, 1747, 2418, 25663, 28513, 7790, 331, 614, 26271, 531, 476, 278, 476, 280, 4475, 267, 476, 8064, 267, 4792, 274, 815, 476, 3583, 266, 280, 266, 1341, 1341, 476, 6200, 9826, 1822, 634, 27847, 851, 540, 519, 1297, 476, 8064, 269, 4792, 274, 568, 7790, 1341, 14009, 540, 891, 1614, 8454, 568, 476, 1911, 271, 269, 1924, 267, 1341, 1547, 18564, 602, 519, 2547, 1455, 4475, 267, 476, 8064, 269, 4792, 274, 666, 581, 2854, 607, 476, 8064, 512, 799, 568, 1224, 607, 834, 8064, 543, 476, 4792, 274, 8536, 2195, 1701, 7335, 543, 5675, 31353, 898, 568, 1271, 547, 917, 875, 547, 2012, 267, 1224, 267, 543, 2328, 17447, 607, 8454, 269, 1280, 1383, 476, 271, 269, 13679, 568, 3957, 607, 834, 821, 4627, 24239, 19317, 8536, 2195, 269, 834, 5415, 3622, 267, 606, 10137, 540, 519, 1747, 1871, 1062, 547, 519, 1318, 540, 519, 8918, 1448, 568, 1336, 538, 519, 1739, 5750, 269, 3220, 322, 7769, 513, 1122, 619, 3367, 607, 543, 257, 610, 834, 4812, 257, 11314, 476, 276, 269, 275, 1548, 3657, 1411, 17214, 540, 476, 25313, 7151, 476, 277, 3519, 3200, 519, 6824, 547, 513, 8918, 17031, 547, 519, 4627, 8811, 338, 1747, 269, 25663, 28513, 476, 278, 4097, 268, 278, 264, 275, 269, 1822, 476, 3374, 476, 1789, 910, 5392, 1677, 476, 278, 268, 271, 269, 6872, 17031, 547, 519, 4627, 2195, 1747, 269, 476, 1015, 269, 3503, 1142, 540, 519, 1739, 8454, 607, 513, 2165, 3215, 8918, 610, 267, 952, 513, 18110, 8918, 269, 17031, 547, 519, 4627, 2195, 1747, 269, 536, 269, 476, 1839, 546, 269, 476, 2190, 476, 2412, 590, 9331, 300, 14473, 281, 8028, 30888, 14510, 476, 276, 269, 275, 1547, 7335, 543, 5675, 31353, 1677, 2012, 513, 8918, 1297, 267, 1224, 519, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 607, 1498, 789, 941, 711, 28263, 676, 513, 8918, 1448, 267, 543, 1287, 8936, 519, 1747, 1871, 540, 922, 1318, 2865, 7857, 269, 2422, 519, 2262, 543, 547, 5094, 519, 8870, 851, 689, 519, 8918, 610, 27847, 851, 269, 1547, 20593, 1154, 513, 27252, 547, 513, 26271, 610, 513, 24908, 7089, 476, 272, 269, 3503, 519, 1875, 14706, 8870, 851, 540, 519, 1297, 543, 6749, 519, 8918, 1448, 269, 476, 273, 269, 3503, 519, 27847, 851, 540, 519, 1297, 607, 519, 19362, 540, 513, 1007, 6824, 267, 4171, 21000, 268, 538, 1807, 568, 5462, 676, 519, 1747, 1871, 540, 519, 1318, 2865, 7857, 269, 476, 274, 269, 21079, 519, 6824, 952, 2556, 24951, 31353, 1325, 793, 519, 8918, 2798, 19794, 543, 5635, 519, 9704, 602, 723, 519, 1482, 1747, 1871, 267, 3001, 689, 2451, 547, 1318, 269, 634, 1101, 1297, 609, 519, 3677, 7857, 538, 519, 1482, 1871, 1747, 568, 519, 3677, 1297, 681, 15929, 513, 27252, 547, 513, 10410, 1881, 9255, 10025, 476, 272, 269, 1403, 519, 9138, 1747, 1871, 568, 476, 1015, 610, 811, 267, 6749, 519, 27847, 851, 543, 5180, 519, 4611, 2898, 1297, 476, 273, 269, 19227, 267, 12398, 519, 7857, 609, 519, 9138, 1747, 1871, 269, 0, 1012, 966, 7627, 1062, 11191, 692, 2690, 519, 3978, 4901, 540, 2597, 344, 6927, 543, 1158, 569, 2152, 269, 3143, 1055, 2389, 8084, 9708, 4847, 780, 9556, 518, 2209, 281, 10897, 5361, 267, 3525, 518, 2209, 4937, 267, 2776, 331, 919, 692, 304, 320, 12935, 454, 763, 27991, 10921, 560, 9697, 26920, 454, 15803, 281, 476, 27420, 280, 454, 16274, 281, 9045, 2904, 476, 6021, 267, 476, 1220, 280, 476, 1556, 281, 4649, 10681, 27635, 692, 2162, 966, 7627, 1062, 11191, 692, 17098, 3025, 2439, 2252, 596, 2461, 899, 803, 267, 1287, 596, 23816, 569, 3314, 519, 6264, 9840, 827, 13359, 1949, 649, 1031, 547, 723, 1934, 267, 543, 519, 2019, 6058, 748, 18913, 5717, 827, 1018, 7907, 616, 1271, 538, 513, 9550, 1505, 543, 875, 547, 5635, 873, 780, 2252, 596, 2965, 616, 803, 267, 1287, 596, 4076, 6170, 1713, 942, 3206, 827, 713, 1641, 936, 519, 2063, 1906, 1296, 267, 543, 1079, 3275, 3516, 596, 4358, 8193, 909, 513, 13359, 11191, 1982, 547, 2196, 5215, 540, 5691, 12836, 538, 1931, 547, 1205, 11050, 2164, 827, 875, 1114, 13359, 1949, 1685, 269, 1656, 2221, 596, 6368, 3893, 621, 4881, 269, 13891, 28289, 543, 3388, 1932, 2439, 3383, 256, 6969, 594, 1205, 1932, 2620, 883, 4881, 13502, 543, 10451, 2164, 267, 13071, 2911, 827, 875, 621, 1568, 267, 1018, 2306, 2631, 267, 543, 875, 594, 666, 2087, 621, 269, 3371, 779, 1018, 519, 3593, 8818, 5654, 899, 912, 8967, 334, 8814, 1384, 763, 2596, 2856, 568, 547, 18082, 513, 1793, 622, 540, 10457, 543, 513, 2551, 540, 17037, 267, 2196, 873, 998, 1142, 13359, 1062, 267, 512, 958, 519, 2164, 267, 543, 10956, 609, 513, 1007, 16801, 540, 17037, 543, 10457, 513, 2898, 19619, 540, 2053, 269, 3973, 17412, 519, 2949, 3466, 780, 763, 5758, 7194, 616, 7168, 3551, 912, 1892, 19105, 10626, 540, 519, 10888, 10457, 585, 1142, 1062, 454, 1892, 19105, 28662, 26845, 540, 1142, 13359, 1062, 630, 773, 269, 5207, 10626, 1851, 10457, 14263, 10626, 540, 16771, 994, 1892, 1215, 1082, 2053, 519, 11134, 609, 5207, 10626, 17993, 896, 1142, 13359, 1062, 692, 763, 9819, 540, 10626, 568, 513, 2370, 3238, 267, 855, 1058, 1118, 2631, 912, 8967, 334, 8814, 912, 10376, 28056, 543, 1142, 11134, 814, 513, 2990, 593, 1142, 540, 562, 968, 1170, 1132, 5608, 543, 1346, 7158, 616, 6537, 689, 513, 3044, 3339, 3892, 269, 3962, 28056, 849, 814, 606, 968, 5814, 766, 892, 610, 2597, 585, 1142, 3390, 267, 10834, 875, 1271, 602, 3390, 568, 547, 873, 267, 6537, 689, 513, 3044, 12825, 3892, 780, 10376, 28056, 21410, 519, 2040, 6361, 1606, 638, 4100, 22051, 3845, 547, 1142, 11134, 267, 607, 521, 815, 3980, 495, 263, 342, 328, 6398, 630, 12858, 910, 524, 328, 4297, 273, 267, 1141, 519, 530, 779, 616, 519, 28056, 779, 12035, 267, 519, 642, 779, 616, 519, 28056, 779, 7158, 267, 543, 519, 524, 779, 616, 519, 11134, 779, 7158, 267, 543, 519, 2040, 568, 3144, 936, 782, 562, 2152, 780, 10190, 972, 616, 1079, 3681, 267, 2824, 762, 676, 519, 968, 25219, 1006, 892, 1402, 1575, 538, 519, 1982, 269, 1403, 968, 22091, 892, 568, 6074, 267, 1287, 519, 9819, 568, 579, 815, 1163, 8987, 338, 1315, 476, 273, 333, 264, 543, 952, 968, 305, 5960, 892, 568, 6074, 267, 1287, 519, 9819, 568, 579, 815, 910, 18414, 263, 338, 1315, 562, 1070, 1141, 538, 1312, 2665, 562, 568, 519, 1297, 540, 2152, 780, 3383, 602, 568, 875, 17037, 5173, 741, 3020, 9237, 10626, 585, 1142, 11134, 267, 543, 1346, 616, 519, 2418, 799, 267, 950, 30714, 936 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 729, 519, 968, 2865, 18660, 1648, 9731, 2108, 11693, 938, 2197, 779, 29667, 344, 540, 5755, 2200, 1547, 1547, 1547, 1496, 933, 1058, 316, 3895, 519, 2922, 267, 3039, 10868, 540, 5755, 543, 1646, 540, 2973, 543, 3608, 5755, 2223, 6004, 9149, 1767, 267, 2687, 547, 5359, 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 ]
[ 25829, 8358, 333, 994, 1038, 952, 589, 5157, 6012, 329, 316, 2652, 645, 912, 2018, 2132, 476, 272, 454, 1038, 8640, 589, 5157, 6012, 329, 316, 2999, 645, 912, 2018, 1970, 815, 4571, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 1164, 815, 4571, 910, 476, 272, 454, 825, 2132, 476, 271, 692, 320, 815, 1496, 454, 476, 1496, 272, 267, 567, 476, 274, 267, 476, 476, 276, 267, 476, 476, 278, 16689, 476, 1496, 1015, 267, 476, 1556, 267, 476, 1626, 267, 476, 736, 16689, 476, 1496, 2537, 267, 476, 1789, 267, 476, 4097, 267, 476, 2004, 2639, 6540, 14142, 30467, 5416, 267, 476, 274, 2020, 19638, 692, 0, 3698, 1193, 1598, 5416, 21726, 17107, 825, 952, 7003, 3287, 264, 2999, 476, 272, 610, 7003, 5416, 264, 2999, 476, 272, 610, 7003, 5416, 264, 2999, 7003, 3287, 2187, 1038, 2132, 910, 272, 692, 825, 544, 815, 7003, 3287, 264, 3097, 825, 562, 815, 7003, 5416, 994, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 1775, 1341, 544, 454, 825, 759, 815, 910, 272, 454, 825, 1247, 476, 795, 10922, 562, 1384, 1038, 737, 815, 1775, 454, 1038, 536, 815, 476, 271, 454, 1038, 1247, 737, 10922, 795, 543, 536, 2999, 544, 543, 630, 320, 25208, 316, 2652, 1535, 314, 321, 316, 2187, 2018, 737, 6834, 476, 272, 454, 2018, 536, 6834, 476, 272, 692, 1038, 1948, 952, 519, 4994, 1031, 585, 8520, 532, 936, 476, 273, 526, 5569, 568, 2362, 982, 7003, 540, 3406, 602, 1797, 519, 454, 1038, 1948, 1247, 8520, 16309, 454, 1038, 952, 536, 13843, 544, 912, 2018, 759, 815, 1775, 454, 2018, 2736, 28329, 1038, 1775, 6834, 476, 272, 454, 1038, 795, 815, 1775, 1341, 544, 692, 825, 2132, 759, 692, 2745, 19304, 1598, 2891, 321, 14824, 321, 27363, 672, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 2999, 340, 285, 300, 22389, 4804, 6997, 2433, 12143, 476, 274, 9572, 340, 11417, 258, 3097, 258, 12361, 18726, 23990, 454, 258, 3097, 258, 8074, 1504, 30363, 676, 590, 7431, 531, 623, 269, 623, 8565, 788, 630, 289, 10204, 14321, 5425, 994, 258, 3097, 258, 2999, 15590, 285, 692, 258, 12361, 6168, 519, 5690, 454, 258, 3097, 258, 5696, 1393, 3196, 3156, 540, 2042, 2154, 513, 2603, 540, 942, 543, 4393, 1379, 547, 1265, 606, 6099, 3070, 269, 634, 4719, 5690, 568, 606, 1935, 799, 16621, 2553, 2999, 321, 285, 16308, 2067, 344, 538, 2470, 9572, 321, 285, 267, 538, 519, 1106, 540, 4720, 563, 258, 3097, 258, 2290, 21767, 538, 513, 4719, 5690, 5161, 540, 519, 1739, 2433, 3097, 258, 476, 272, 269, 9977, 19139, 454, 258, 476, 273, 269, 3955, 5174, 516, 5338, 454, 258, 476, 274, 269, 631, 16615, 454, 258, 476, 275, 269, 18984, 643, 832, 19139, 454, 258, 3097, 258, 6969, 7598, 513, 1966, 585, 713, 5690, 267, 519, 1966, 2999, 321, 285, 928, 2644, 547, 581, 23876, 9572, 321, 20101, 634, 17683, 666, 581, 540, 519, 1739, 3029, 2433, 3097, 258, 476, 272, 269, 23030, 23830, 454, 258, 476, 273, 269, 6715, 518, 23830, 454, 258, 476, 274, 269, 7464, 10025, 23830, 454, 258, 476, 275, 269, 18983, 16615, 23830, 454, 258, 3097, 258, 2999, 1962, 285, 692, 258, 12361, 4790, 571, 6493, 2016, 3097, 258, 3097, 258, 476, 272, 269, 634, 2999, 321, 285, 984, 11187, 1599, 9572, 321, 285, 1031, 568, 1269, 325, 3287, 264, 815, 1535, 317, 274, 1341, 476, 280, 10608, 634, 3804, 568, 547, 2999, 321, 285, 11694, 519, 6662, 8034, 794, 9572, 321, 285, 563, 258, 476, 273, 269, 634, 1871, 540, 9041, 343, 318, 568, 6719, 607, 513, 2999, 321, 285, 259, 277, 259, 7857, 9352, 1297, 9572, 321, 20101, 3097, 258, 476, 274, 269, 23030, 17683, 10325, 454, 258, 476, 275, 269, 12025, 540, 519, 2551, 568, 1269, 1015, 14204, 258, 476, 276, 269, 9977, 5542, 568, 1759, 593, 519, 2999, 321, 285, 305, 537, 30592, 24747, 5542, 21742, 321, 285, 563, 258, 476, 277, 269, 631, 16615, 5506, 1269, 271, 269, 4905, 259, 563, 258, 476, 278, 269, 27834, 5542, 7355, 2433, 29799, 1269, 736, 259, 260, 10782, 2551, 538, 13726, 1440, 902, 609, 1269, 736, 259, 260, 1655, 2551, 689, 519, 2385, 563, 258, 3097, 258, 2999, 1962, 285, 692, 258, 12361, 7383, 532, 2556, 13838, 692, 258, 769, 314, 1626, 28660, 454, 5814, 11885, 607, 5286, 454, 5814, 2979, 454, 5814, 4351, 692, 5814, 21267, 28272, 607, 12301, 454, 5228, 28894, 629, 1104, 678, 322, 13640, 4461, 692, 21683, 13640, 4461, 9131, 29664, 8807, 12127, 1125, 11172, 815, 476, 1428, 267, 476, 1015, 7531, 258, 12361, 14871, 3989, 3252, 692, 258, 769, 314, 1704, 28660, 454, 3698, 535, 3287, 2187, 825, 23288, 825, 634, 6662, 1599, 568, 3989, 865, 602, 621, 666, 581, 1031, 538, 519, 9273, 3238, 538, 519, 13193, 30592, 3097, 825, 8868, 5542, 543, 31848, 5542, 563, 8931, 825, 18452, 2433, 7089, 454, 825, 16849, 2433, 634, 1871, 530, 4135, 519, 6662, 1599, 1775, 4318, 1535, 317, 274, 1341, 476, 280, 454, 825, 23288, 825, 2132, 4073, 3287, 267, 476, 274, 264, 1341, 476, 280, 7531, 258, 769, 314, 1240, 28660, 454, 3698, 1711, 318, 29261, 9638, 641, 1637, 318, 23917, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 634, 3237, 1781, 4923, 7620, 616, 6383, 14477, 1759, 593, 519, 10148, 1315, 17683, 540, 519, 1966, 22562, 825, 30352, 2433, 2551, 318, 23917, 910, 634, 1297, 540, 3237, 547, 3442, 454, 4449, 3787, 318, 21920, 910, 9046, 1808, 17683, 267, 6411, 607, 17683, 454, 4449, 3097, 825, 16849, 2433, 3787, 18360, 902, 540, 2838, 3259, 543, 2450, 269, 634, 5569, 3898, 585, 9352, 2338, 616, 6569, 607, 1134, 454, 825, 543, 813, 2105, 547, 519, 2451, 609, 476, 271, 781, 267, 519, 1351, 816, 335, 1180, 532, 1592, 540, 2338, 454, 825, 23288, 825, 3193, 20311, 815, 4073, 263, 273, 267, 3787, 318, 21920, 264, 910, 476, 272, 454, 825, 1003, 8217, 815, 1496, 12639, 20179, 27110, 263, 271, 267, 3193, 20311, 264, 585, 9041, 538, 2039, 9638, 641, 1637, 318, 23917, 22708, 8931, 825, 2132, 1496, 8971, 16325, 267, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 264, 585, 1003, 538, 1003, 8217, 6540, 454, 258, 769, 314, 866, 28660, 454, 3698, 1265, 15220, 766, 263, 18499, 2187, 825, 23288, 825, 4855, 338, 519, 17831, 2838, 585, 519, 13193, 30592, 8868, 5542, 22562, 825, 18452, 2433, 3237, 910, 634, 3237, 945, 781, 8458, 991, 547, 581, 7229, 454, 825, 16849, 2433, 5903, 540, 8458, 585, 7222, 3237, 454, 825, 23288, 825, 1003, 8217, 815, 1496, 842, 6357, 267, 476, 273, 264, 585, 536, 538, 3237, 2639, 825, 1592, 23544, 815, 2040, 8443, 325, 3287, 264, 585, 1535, 538, 1003, 8217, 7481, 8931, 825, 2132, 1496, 325, 16325, 264, 1315, 1592, 23544, 585, 1003, 538, 1003, 8217, 6540, 454, 258, 769, 314, 736, 28660, 454, 3698, 2824, 318, 22296, 764, 525, 832, 263, 18499, 267, 2551, 2187, 825, 23288, 825, 19805, 519, 1967, 832, 799, 786, 4412, 690, 622, 547, 519, 1985, 5108, 22562, 825, 18452, 2433, 3237, 910, 634, 3237, 945, 723, 8458, 547, 979, 547, 519, 1985, 5108, 454, 2018, 2551, 910, 3097, 825, 16849, 2433, 634, 1781, 4923, 1453, 547, 979, 547, 519, 1985, 5108, 454, 825, 23288, 825, 5542, 15220, 766, 815, 1265, 15220, 766, 263, 18499, 994, 825, 2132, 1496, 12639, 20179, 26716, 4069, 263, 18499, 267, 533, 815, 5542, 15220, 766, 264, 585, 9041, 538, 2039, 9638, 641, 1637, 264, 6540, 454, 258, 769, 314, 2641, 28660, 454, 3698, 3444, 318, 3691, 539, 263, 8001, 267, 3444, 318, 1478, 25292, 267, 3444, 318, 3691, 539, 318, 3333, 28984, 267, 3787, 6831, 1484, 318, 1478, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 9061, 9960, 9388, 609, 519, 2220, 6260, 540, 4162, 540, 476, 273, 3237, 269, 4706, 519, 1101, 4494, 540, 1184, 1018, 5012, 454, 825, 547, 10451, 1007, 1453, 269, 898, 4523, 693, 519, 26737, 1377, 22562, 825, 18452, 2433, 2385, 910, 634, 6090, 602, 616, 2469, 998, 3444, 9960, 454, 2018, 3444, 318, 1478, 25292, 910, 2052, 581, 834, 684, 6134, 257, 610, 834, 338, 17532, 15304, 4840, 13376, 769, 834, 338, 17532, 15304, 2580, 513, 4994, 568, 5697, 543, 782, 519, 6090, 547, 519, 1318, 540, 1312, 3237, 454, 13376, 954, 577, 6548, 454, 13376, 769, 834, 684, 6134, 2580, 782, 11353, 723, 606, 6697, 4960, 540, 1373, 2220, 11474, 454, 2018, 695, 28984, 910, 1403, 6936, 267, 519, 2385, 568, 695, 4428, 1194, 1354, 3444, 318, 3691, 5338, 454, 2018, 3787, 6831, 1484, 318, 1478, 910, 13242, 950, 3444, 318, 1478, 25292, 568, 834, 684, 6134, 2580, 1754, 985, 519, 4960, 513, 3787, 786, 1205, 22121, 454, 2018, 3787, 318, 21920, 910, 634, 3259, 540, 519, 6090, 454, 27030, 825, 16849, 2433, 5753, 538, 799, 3444, 9960, 568, 2347, 269, 4256, 2450, 568, 519, 1482, 2450, 607, 602, 540, 519, 3237, 454, 825, 23288, 825, 15652, 15481, 815, 7003, 263, 8001, 264, 12262, 476, 273, 22562, 825, 952, 3444, 318, 3691, 539, 318, 3333, 28984, 912, 1038, 5286, 20179, 11075, 28984, 263, 8001, 994, 8931, 825, 1126, 27133, 318, 272, 267, 1126, 27133, 318, 273, 815, 2385, 11468, 4820, 819, 15481, 3910, 1453, 314, 4820, 819, 15481, 281, 2639, 8931, 825, 952, 3444, 318, 1478, 25292, 2652, 834, 684, 6134, 257, 1384, 1038, 585, 967, 538, 2039, 263, 4820, 819, 15481, 2187, 2018, 585, 536, 538, 2039, 263, 4226, 318, 21920, 2187, 3546, 28219, 26371, 815, 5286, 20179, 20120, 10797, 3546, 952, 28219, 26371, 2999, 3444, 318, 1478, 15220, 766, 1384, 7386, 3787, 318, 272, 815, 703, 263, 18876, 27133, 318, 272, 314, 785, 3910, 476, 273, 264, 1299, 4073, 263, 273, 267, 536, 994, 7386, 3787, 318, 273, 815, 703, 263, 18876, 27133, 318, 273, 314, 785, 3910, 476, 273, 264, 1299, 4073, 263, 273, 267, 536, 2020, 7386, 952, 3787, 318, 272, 11203, 3787, 318, 273, 912, 13376, 1126, 27133, 318, 272, 314, 785, 316, 815, 3898, 17301, 263, 18876, 27133, 318, 272, 314, 785, 3910, 476, 273, 264, 9745, 4073, 263, 273, 267, 536, 1070, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 994, 13376, 1126, 27133, 318, 273, 314, 785, 316, 815, 3898, 17301, 263, 18876, 27133, 318, 273, 314, 785, 3910, 476, 273, 264, 9745, 4073, 263, 273, 267, 536, 1070, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 994, 4449, 8931, 1038, 2132, 5286, 6910, 263, 18876, 27133, 318, 272, 267, 1126, 27133, 318, 273, 994, 8931, 825, 8640, 3444, 318, 1478, 25292, 2652, 834, 338, 17532, 15304, 13426, 13872, 1038, 585, 967, 538, 2039, 263, 4820, 819, 15481, 2567, 8931, 2018, 20105, 16229, 815, 5286, 20179, 27110, 263, 272, 267, 3787, 318, 21920, 910, 476, 273, 994, 27030, 2018, 678, 15220, 843, 318, 272, 815, 1126, 27133, 318, 272, 314, 785, 6012, 16435, 823, 16229, 281, 2639, 2018, 678, 15220, 843, 318, 273, 815, 1126, 27133, 318, 273, 314, 785, 6012, 16435, 823, 16229, 281, 2639, 27030, 2018, 1126, 27133, 318, 272, 314, 785, 316, 815, 1126, 27133, 318, 272, 314, 785, 6012, 281, 16435, 823, 16229, 316, 1341, 678, 15220, 843, 318, 273, 454, 2018, 1126, 27133, 318, 273, 314, 785, 316, 815, 1126, 27133, 318, 273, 314, 785, 6012, 281, 16435, 823, 16229, 316, 1341, 678, 15220, 843, 318, 272, 454, 27030, 1038, 2132, 5286, 6910, 263, 18876, 27133, 318, 272, 267, 1126, 27133, 318, 273, 9239, 258, 769, 314, 2420, 28660, 454, 3698, 15817, 263, 18244, 267, 15817, 25292, 267, 3787, 8548, 16615, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 631, 16615, 4523, 693, 519, 29294, 1377, 267, 543, 621, 4523, 20244, 538, 519, 1453, 267, 543, 3085, 1405, 2154, 513, 3097, 825, 6292, 269, 3097, 8931, 825, 18452, 2433, 1453, 910, 634, 6090, 602, 786, 10929, 15817, 454, 2018, 15817, 25292, 910, 634, 1505, 538, 799, 15817, 1131, 4755, 269, 898, 666, 581, 834, 2675, 534, 22433, 257, 610, 834, 12690, 4840, 7386, 769, 834, 2675, 534, 22433, 2580, 1142, 3787, 814, 547, 4960, 547, 1205, 23564, 454, 7386, 769, 834, 12690, 2580, 513, 4351, 3787, 568, 1781, 4923, 547, 1205, 2220, 11474, 454, 2018, 3787, 8548, 16615, 910, 634, 10171, 513, 3787, 1131, 20049, 267, 543, 568, 2556 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2789, 2872, 17758, 563, 288, 23232, 19784, 945, 814, 5249, 538, 3162, 4000, 543, 4516, 267, 1352, 1631, 7125, 4516, 1753, 269, 2701, 29084, 538, 519, 7414, 19566, 267, 12270, 942, 1063, 15117, 593, 26551, 6816, 267, 519, 20744, 18992, 540, 1733, 626, 2401, 267, 543, 513, 15309, 545, 12647, 728, 19970, 538, 519, 2961, 756, 5622, 269, 1879, 1352, 779, 711, 1603, 610, 29681, 909, 13602, 267, 596, 3580, 1265, 1200, 593, 519, 12647, 267, 538, 519, 5836, 267, 610, 593, 519, 18162, 609, 1200, 2915, 1141, 1352, 13290, 1765, 12584, 15471, 2685, 23121, 2057, 12217, 563, 11328, 1613, 676, 9995, 571, 14208, 1478, 454, 304, 269, 8080, 267, 22784, 628, 269, 5556, 17894, 593, 519, 5305, 540, 634, 21111, 779, 10555, 267, 1776, 10875, 476, 276, 3613, 541, 1650, 1759, 593, 513, 3020, 6760, 269, 13185, 547, 721, 827, 713, 1433, 543, 875, 621, 3357, 827, 2443, 1018, 20109, 543, 6273, 596, 827, 713, 1808, 6760, 547, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 918, 836, 16619, 657, 1315, 918, 30865, 5622, 32445, 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 10167, 1063, 3504, 6138, 267, 4481, 588, 334, 6291, 267, 543, 519, 3140, 2259, 540, 14139, 5641, 7806, 328, 538, 5939, 1781, 15077, 1282, 519, 11193, 1974, 269, 2311, 1101, 16145, 267, 891, 1079, 5396, 949, 3100, 20775, 282, 2705, 267, 2390, 6251, 6514, 267, 649, 666, 2697, 3838, 4798, 971, 607, 1582, 20820, 267, 16495, 267, 543, 13919, 602, 1921, 588, 334, 6291, 547, 519, 2686, 8456, 2509, 5641, 1674, 269, 1284, 786, 2263, 875, 588, 334, 6291, 6766, 6848, 8155, 3823, 4008, 267, 14920, 267, 543, 1379, 6384, 1369, 3909, 5238, 269, 3958, 267, 649, 786, 1865, 4207, 9840, 4478, 6915, 996, 923, 267, 552, 1872, 523, 923, 267, 543, 1560, 14842, 998, 519, 7828, 540, 588, 334, 6291, 781, 10752, 780, 2414, 2253, 267, 1577, 721, 3715, 513, 5618, 7650, 540, 588, 334, 6291, 269, 901, 18774, 523, 2065, 10952, 1153, 7153, 1472, 519, 3791, 2540, 7460, 543, 15091, 5837, 1915, 267, 6418, 4222, 267, 543, 2123, 7881, 269, 634, 2185, 29039, 21644, 540, 7326, 267, 10100, 267, 5126, 267, 543, 2191, 766, 941, 3844, 28975, 540, 588, 334, 6291, 269, 4706, 9439, 5156, 602, 3020, 8788, 2482, 538, 14237, 835, 781, 2702, 547, 22036, 23434, 1247, 4509, 22471, 1006, 543, 4708, 540, 2247, 269, 6206, 5515, 2404, 609, 588, 334, 6291, 1331, 7354, 29132, 267, 9210, 1112, 28127, 267, 543, 29849, 589, 675, 2993, 639, 780, 3086, 267, 1577, 721, 2490, 938, 3007, 547, 519, 3140, 2796, 4843, 538, 519, 6679, 1349, 1107, 12077, 267, 519, 946, 540, 5641, 7806, 328, 538, 3864, 13039, 2429, 519, 3735, 10120, 543, 2038, 2413, 5712, 269, 1306, 4330, 267, 1762, 8695, 941, 4907, 1227, 12012, 547, 8190, 741, 1164, 13047, 9832, 267, 7551, 7175, 873, 547, 4196, 607, 521, 641, 3757, 657, 538, 3235, 27036, 20292, 669, 7394, 679, 5145, 956, 269, 2755, 930, 8044, 602, 713, 2259, 8507, 689, 6071, 7499, 13283, 267, 1866, 25077, 602, 811, 1202, 573, 1190, 18144, 20690, 2740, 922, 9860, 269, 13018, 267, 13915, 2303, 602, 519, 5783, 23699, 7925, 2043, 676, 8903, 873, 547, 10929, 26464, 15629, 12381, 585, 7574, 2744, 780, 20751, 713, 2113, 24586, 267, 649, 1265, 11495, 19320, 1063, 588, 334, 6291, 781, 8561, 593, 1582, 16162, 23002, 543, 6830, 3363, 543, 519, 818, 706, 748, 2866, 1036, 6036, 17298, 676, 5641, 7806, 328, 269, 5637, 2671, 606, 5817, 2463, 585, 11826, 2168, 543, 2790, 14555, 267, 23344, 4294, 8335, 538, 1142, 2013, 269, 1717, 267, 6466, 588, 334, 6291, 970, 565, 1194, 17319, 10841, 2045, 1143, 607, 513, 1797, 540, 8236, 5289, 2208, 267, 519, 5641, 337, 6737, 1062, 1071, 518, 1027, 31464, 5171, 883, 26446, 547, 12362, 5773, 1996, 741, 786, 780, 1607, 12651, 2629, 2055, 7282, 8116, 267, 9844, 267, 543, 13190, 1765, 1170, 1132, 602, 2611, 4143, 2221, 269, 1280, 3236, 267, 2015, 4207, 9840, 4478, 19574, 2924, 543, 1569, 547, 9449, 3797, 610, 4008, 21533, 6391, 269, 11534, 7859, 1419, 13712, 4145, 827, 5483, 9844, 543, 1761, 5626, 29854, 267, 5373, 16198, 547, 519, 7142, 5641, 1674, 540, 1762, 8695, 538, 5553, 2250, 269, 17957, 267, 28288, 8044, 602, 1367, 5191, 1058, 7173, 841, 3177, 782, 6105, 3238, 723, 6603, 15657, 543, 4865, 2407, 3375, 6194, 4390, 780, 5194, 1448, 540, 19427, 6013, 538, 588, 334, 6291, 781, 14223, 585, 1226, 534, 14383, 8015, 14488, 269, 1879, 5185, 609, 1272, 781, 17149, 2591, 267, 588, 334, 923, 9738, 513, 1033, 3737, 5133, 267, 32222, 547, 13151, 3518, 547, 3929, 24187, 269, 6684, 267, 1082, 5641, 7806, 328, 17947, 741, 2189, 6381, 267, 10489, 2056, 3355, 7092, 547, 1831, 26060, 12372, 9976, 2066, 2342, 269, 6736, 1373, 26723, 2350, 1242, 1813, 547, 741, 15116, 4567, 267, 789, 7152, 7415, 6043, 543, 13916, 267, 3976, 12013, 4328, 588, 18757, 3741, 780, 11101, 267, 588, 334, 6291, 781, 1445, 593, 5683, 2932, 12969, 338, 609, 6626, 5717, 22317, 547, 4984, 543, 1379, 3889, 269, 1635, 31328, 519, 2688, 540, 1210, 5641, 7806, 328, 267, 1705, 519, 7826, 5783, 27481, 922, 7029, 547, 5837, 8699, 286, 2107, 1705, 621, 3079, 20729, 4295, 2418, 676, 7873, 11238, 1875, 4621, 839, 783, 15629, 12879, 286, 6270, 21140, 16079, 5571, 27900, 5473, 12250, 12477, 543, 11413, 780, 1103, 3932, 267, 4352, 9583, 19635, 3584, 267, 588, 334, 6291, 543, 519, 1686, 540, 5641, 7806, 328, 7866, 10578, 4296, 17709, 540, 2417, 7634, 269, 3414, 3695, 891, 3095, 1137, 267, 649, 16436, 2565, 8086, 593, 15851, 2152, 899, 1863, 786, 267, 16177, 267, 543, 1514, 5539, 269, 11086, 267, 2502, 609, 3140, 30675, 2636, 721, 547, 15052, 938, 8223, 540, 4207, 32252, 14613, 543, 11942, 1134, 25454, 5380, 16135, 538, 1312, 7811, 1702, 543, 4052, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 700, 625, 1656, 12096, 9313, 2986, 454, 763, 15610, 2826, 534, 3821, 454, 1692, 5295, 995, 1656, 1744, 600, 6804, 1849, 518, 673, 17086, 10011, 3603, 454, 288, 25587, 4518, 2986, 13129, 454, 288, 1906, 1296, 3516, 594, 1185, 8317, 547, 3277, 538, 835, 540, 1250, 2835, 547, 519, 5256, 521, 641, 3757, 328, 540, 519, 13099, 531, 32724, 693, 7507, 269, 1452, 5641, 3603, 9038, 267, 16770, 4573, 23624, 267, 607, 1169, 17308, 543, 1169, 7969, 6785, 267, 585, 521, 641, 3757, 328, 538, 519, 1781, 597, 540, 519, 590, 25434, 30989, 267, 941, 519, 31768, 540, 7507, 950, 621, 2919, 513, 1804, 4110, 540, 25949, 855, 513, 18205, 29317, 547, 519, 1977, 543, 3703, 23597, 945, 3459, 547, 12446, 827, 519, 1647, 540, 519, 2063, 2540, 269, 2290, 540, 519, 642, 1182, 799, 519, 1975, 8643, 1841, 1185, 4547, 547, 7977, 538, 519, 476, 1626, 628, 2540, 2059, 609, 519, 645, 3073, 807, 1920, 543, 519, 5053, 4936, 2506, 30752, 729, 519, 535, 1023, 564, 1729, 22256, 269, 1703, 941, 5159, 945, 1223, 2206, 535, 1023, 564, 1729, 609, 11984, 267, 855, 607, 519, 22968, 6591, 538, 8560, 538, 7977, 519, 2259, 3459, 540, 900, 553, 1529, 908, 8695, 609, 1434, 9739, 543, 20808, 873, 607, 5256, 521, 641, 3757, 328, 610, 267, 607, 519, 32228, 2103, 267, 609, 741, 8912, 3668, 540, 4168, 1427, 545, 775, 827, 3023, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 9147, 1299, 18190, 1315, 853, 334, 6291, 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, 7170, 281, 1215, 547, 5269, 513, 2290, 6261, 534, 11204, 26560, 590, 19281, 18706, 518, 1961, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 8624, 937, 782, 519, 2556, 5820, 585, 519, 2836, 4777, 632, 2717, 5979, 22101, 518, 1961, 269, 1411, 786, 991, 1384, 265, 476, 275, 5642, 2987, 267, 2960, 6823, 9269, 25427, 338, 454, 265, 476, 272, 1804, 5835, 22323, 267, 546, 5367, 454, 265, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 273, 17436, 267, 22019, 539, 543, 22872, 454, 265, 476, 273, 13767, 2044, 26106, 802, 267, 22872, 454, 265, 476, 272, 795, 531, 1901, 25123, 14723, 267, 6079, 539, 543, 546, 5367, 630, 28436, 994, 265, 476, 272, 666, 630, 1691, 269, 276, 12063, 264, 3595, 268, 549, 16556, 546, 5367, 14274, 454, 265, 476, 277, 11680, 1970, 1606, 18754, 9269, 26185, 454, 265, 476, 272, 23188, 12015, 7626, 1146, 334, 454, 265, 476, 272, 23188, 2666, 524, 6058, 454, 265, 17865, 543, 28448, 2666, 3109, 14723, 267, 547, 6492, 454, 265, 476, 272, 7484, 13792, 8970, 737, 1716, 1564, 454, 265, 476, 272, 18654, 267, 5104, 5367, 454, 265, 476, 26528, 7484, 22872, 4195, 524, 559, 656, 549, 454, 265, 8838, 1308, 547, 25940, 281, 12475, 8759, 17446, 610, 13365, 267, 30000, 25636, 267, 27054, 4765, 10381, 267, 11877, 8645, 267, 543, 18654, 12311, 2471, 692, 3721, 476, 273, 281, 2776, 17742, 744, 1597, 543, 16259, 7754, 454, 7093, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 9255, 519, 9269, 25427, 338, 538, 513, 2582, 4494, 538, 513, 1804, 14089, 1606, 12522, 1236, 32576, 610, 10656, 14089, 269, 1403, 2877, 267, 4894, 519, 4430, 3170, 689, 519, 9269, 2960, 780, 3721, 476, 274, 281, 590, 792, 26560, 774, 662, 338, 454, 28959, 519, 1236, 32576, 936, 5420, 3002, 2394, 3905, 269, 13648, 519, 9269, 25427, 338, 267, 2960, 2427, 1524, 267, 1510, 3001, 873, 585, 5111, 476, 279, 3764, 610, 2394, 519, 2960, 7140, 11344, 6960, 543, 5743, 6853, 269, 4469, 760, 519, 9269, 4773, 1210, 10209, 338, 543, 3434, 585, 1776, 476, 276, 3764, 593, 519, 824, 2427, 269, 18734, 519, 694, 1563, 9269, 547, 513, 6676, 780, 3721, 476, 275, 281, 13648, 589, 668, 18267, 543, 29641, 454, 1103, 519, 1482, 1236, 32576, 1031, 585, 5986, 519, 9269, 267, 1094, 583, 2946, 519, 546, 5367, 19637, 538, 519, 6967, 9269, 3170, 936, 5420, 3002, 585, 1472, 476, 275, 3764, 610, 2394, 21352, 539, 269, 5410, 519, 1295, 1027, 13342, 267, 22872, 17436, 267, 13767, 2044, 267, 543, 795, 531, 1901, 25123, 14723, 630, 604, 1210, 1070, 28817, 12212, 585, 476, 275, 811, 3764, 780, 3721, 476, 276, 281, 28799, 23123, 543, 3244, 1067, 454, 11754, 519, 27574, 3595, 268, 549, 16556, 546, 5367, 14274, 267, 9269, 26185, 267, 12015, 7626, 1146, 334, 267, 2666, 524, 6058, 267, 6070, 267, 543, 28448, 2666, 3109, 14723, 883, 519, 1236, 32576, 269, 853, 597, 1134, 543, 3142, 519, 7848, 547, 513, 31652, 269, 4495, 31652, 532, 267, 2132, 519, 694, 1563, 9269, 25427, 338, 1394, 883, 519, 1236, 32576, 267, 4180, 789, 2611, 24760, 538, 519, 5277, 269, 14190, 519, 17339, 547, 9900, 31652, 20114, 585, 476, 736, 3764, 780, 3721, 476, 277, 281, 5685, 880, 609, 12397, 543, 700, 830, 4236, 823, 454, 1805, 597, 538, 519, 13792, 8970, 737, 1716, 1564, 543, 1577, 519, 22101, 518, 1961, 3136, 31652, 532, 585, 606, 3606, 476, 276, 3764, 269, 17179, 519, 1236, 32576, 689, 519, 3002, 543, 25837, 519, 10433, 540, 835, 18654, 936, 519, 3003, 8670, 269, 14109, 30257, 609, 22872, 4195, 524, 559, 656, 549, 269, 570, 4292, 543, 4188, 4005, 532, 952 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1265, 519, 1198, 540, 13215, 540, 713, 2631, 540, 11733, 267, 543, 2638, 2436, 519, 1053, 685, 2168, 2298, 1185, 4957, 269, 634, 1808, 1449, 1543, 2882, 1053, 685, 4743, 540, 1560, 1689, 267, 5026, 1983, 267, 4890, 2168, 2175, 267, 2436, 519, 2875, 568, 2178, 610, 711, 267, 3092, 269, 634, 1292, 1267, 540, 713, 18102, 5619, 568, 519, 9547, 540, 2852, 1053, 547, 741, 2168, 2175, 269, 3973, 267, 513, 7544, 5152, 729, 5697, 607, 519, 1034, 1271, 2575, 1031, 538, 519, 6514, 269, 634, 3803, 6268, 729, 1500, 676, 6378, 16488, 593, 1079, 2516, 540, 1053, 476, 4586, 274, 269, 3194, 11778, 454, 274, 269, 272, 269, 634, 6356, 540, 26094, 540, 8447, 10866, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 21008, 2581, 540, 8447, 10866, 1063, 6513, 6828, 543, 21885, 6828, 454, 3849, 641, 5406, 540, 7305, 476, 273, 267, 621, 1223, 581, 1336, 602, 972, 729, 1100, 1713, 3017, 538, 2168, 2298, 543, 2702, 1063, 519, 1852, 1895, 543, 519, 8097, 1895, 1354, 519, 4603, 267, 799, 10416, 1558, 519, 4170, 540, 519, 4603, 269, 2991, 513, 19496, 540, 2866, 267, 519, 2168, 2298, 540, 1079, 5049, 4824, 3648, 267, 855, 9236, 519, 1079, 2516, 621, 1223, 581, 1336, 602, 519, 8097, 1895, 630, 27026, 589, 264, 1185, 811, 6654, 2168, 6454, 269, 769, 519, 2168, 2866, 971, 607, 476, 8517, 4881, 267, 1279, 7914, 543, 1694, 5346, 267, 621, 1223, 581, 1336, 602, 519, 2168, 2298, 540, 519, 8097, 1895, 1185, 1044, 3648, 4824, 267, 865, 649, 1223, 10416, 9959, 602, 538, 1899, 7544, 2810, 519, 1543, 540, 2168, 2298, 2866, 1223, 3648, 2087, 519, 2168, 2298, 540, 1053, 267, 865, 621, 814, 513, 2318, 1198, 476, 4586, 274, 269, 273, 269, 634, 6356, 540, 26094, 540, 8535, 17402, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 21809, 6750, 11778, 540, 5403, 268, 16987, 2939, 7726, 32666, 538, 6513, 6828, 543, 21885, 6828, 454, 3383, 519, 2164, 540, 519, 5619, 538, 7305, 476, 274, 1397, 602, 621, 1223, 581, 1336, 602, 1082, 2852, 1053, 15861, 602, 2575, 1223, 3927, 2087, 741, 1983, 538, 2259, 540, 1899, 7544, 269, 634, 6212, 941, 519, 991, 585, 11733, 2866, 543, 519, 6454, 540, 519, 2773, 540, 1899, 7544, 676, 1620, 540, 2575, 269, 898, 729, 6654, 602, 519, 8097, 1895, 729, 811, 11215, 267, 1247, 519, 1852, 1895, 729, 1447, 11215, 269, 2991, 519, 4603, 267, 519, 1899, 7544, 1449, 593, 2852, 1053, 4797, 269, 634, 2164, 540, 519, 1644, 4255, 4951, 602, 519, 8097, 1895, 547, 799, 2575, 1702, 729, 6045, 1223, 723, 513, 4514, 1620, 540, 2575, 543, 513, 1732, 2631, 540, 11733, 269, 769, 1840, 267, 519, 8097, 1895, 849, 1185, 8273, 22192, 3196, 543, 8082, 267, 543, 1434, 12716, 4743, 269, 769, 3932, 267, 519, 6454, 540, 2575, 7924, 568, 540, 1390, 4644, 585, 2852, 1053, 547, 4487, 519, 1983, 540, 1899, 7544, 563, 8368, 476, 273, 269, 15448, 540, 2168, 8516, 4994, 540, 4775, 2852, 1053, 1354, 543, 1310, 519, 4603, 563, 8368, 476, 274, 269, 27148, 593, 2575, 7071, 2702, 543, 11733, 2866, 540, 2852, 1053, 563, 274, 269, 274, 269, 634, 6356, 540, 26094, 540, 16723, 10866, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 4263, 1459, 267, 519, 2790, 1072, 540, 2852, 1053, 814, 1044, 6976, 3007, 676, 519, 2486, 269, 1677, 513, 1390, 6708, 267, 2790, 1072, 2047, 5540, 519, 2635, 2208, 540, 2852, 1053, 269, 769, 519, 3942, 540, 2852, 1053, 267, 14038, 1689, 883, 4079, 269, 674, 5217, 1082, 5626, 2242, 267, 972, 616, 1390, 5837, 2042, 538, 1582, 268, 17595, 1670, 16369, 543, 1852, 3361, 676, 3668, 540, 1995, 269, 4475, 267, 789, 3668, 16369, 2702, 950, 6849, 2804, 543, 3929, 12503, 267, 3056, 547, 3978, 5626, 1764, 269, 4475, 267, 621, 568, 2653, 547, 723, 1360, 7920, 5626, 32475, 269, 1635, 9236, 519, 1449, 2164, 1354, 543, 1310, 519, 4098, 540, 519, 4603, 1063, 519, 1852, 1895, 543, 519, 8097, 1895, 267, 621, 1223, 581, 1336, 602, 1053, 685, 2168, 1582, 12635, 543, 2168, 16007, 4824, 3648, 476, 1547, 1717, 267, 9236, 519, 2866, 2164, 540, 519, 1852, 1895, 543, 519, 8097, 1895, 267, 621, 1223, 581, 1336, 602, 519, 8097, 1895, 729, 1732, 982, 519, 1852, 1895, 538, 782, 519, 3688, 267, 543, 519, 8097, 1895, 1185, 513, 811, 1713, 6454, 269, 901, 666, 1397, 602, 519, 5626, 2298, 540, 519, 1053, 538, 519, 8097, 1895, 3648, 4824, 563, 7661, 267, 519, 2164, 540, 2852, 1053, 685, 1899, 7544, 1449, 941, 3379, 269, 769, 519, 2164, 267, 621, 1223, 581, 1336, 602, 538, 519, 3688, 540, 2852, 1053, 685, 1899, 7544, 5026, 971, 607, 3350, 15334, 267, 6679, 9781, 543, 2773, 538, 1899, 7544, 519, 5626, 2298, 540, 519, 8097, 1895, 1185, 3648, 4824, 267, 865, 519, 2164, 540, 519, 8097, 1895, 941, 15069, 1732, 982, 1346, 540, 519, 1852, 1895, 269, 4475, 267, 649, 666, 1294, 602, 538, 519, 6268, 540, 1899, 7544, 519, 8097, 1895, 729, 811, 8746, 543, 1185, 8273, 22192, 3196, 269, 769, 4890, 2866, 267, 741, 5322, 1131, 711, 581, 796, 1723, 867, 3990, 1317, 789, 941, 1932, 8401, 269, 769, 519, 1899, 7544, 2773, 540, 519, 8097, 1895, 267, 789, 4951, 1732, 21755, 267, 543, 519, 2773, 729, 811, 31402, 269, 4841, 941, 15069, 17159, 267, 543, 1185, 1732, 12716, 4743, 269, 3414, 891, 6901, 267, 621, 666, 581, 1336, 602, 1434, 5626, 2298, 666, 3927, 948, 1053, 2347, 519, 1899, 7544, 267, 865, 602, 789, 666, 2731, 11753, 1560, 543, 2247, 883, 519, 7544, 5322, 543, 1397, 1732, 2164, 563, 275, 269, 1230, 7501, 543, 32505, 454, 18118, 7544, 568, 5631, 6353, 676, 519, 8560, 540, 3084, 8516, 269, 30793, 2471, 543, 9945, 4163, 856, 5026, 2238, 267, 538, 1931, 547, 11349, 1053, 685, 3102, 5759, 538, 1840, 547, 1702, 540, 2686, 6030, 269, 3245, 519, 5133, 540, 519, 1826, 540, 1560, 20761, 3635, 267, 1899, 7544, 568, 2241, 543, 2653, 547, 1451, 269, 1306, 1279, 607, 596, 1246, 519, 2575, 267, 596, 666, 798, 3635, 269, 5822, 267, 1899, 7544, 814, 1585, 6163, 267, 513, 2603, 540, 9115, 543, 1082, 2609, 540, 3084, 7544, 267, 3976, 8108, 513, 1007, 1106, 540, 1899, 7544, 269, 7412, 7544, 814, 971, 3252, 607, 3450, 267, 1560, 2679, 543, 12257, 538, 29525, 269, 3689, 540, 782, 267, 538, 2474, 540, 3450, 1599, 267, 607, 513, 1007, 1826, 540, 2527, 8516, 2534, 267, 1899, 7544, 666, 581, 8362, 5645, 856, 538, 2852, 5026, 2238, 269, 769, 519, 2635, 2168, 8516, 2238, 267, 621, 4249, 606, 1271, 1909, 538, 5009, 519, 2168, 2069, 3450, 538, 3624, 269, 898, 666, 2087, 519, 1560, 11558, 540, 9439, 543, 3432, 909, 519, 1560, 10009, 269, 769, 1840, 267, 621, 666, 849, 3035, 12257, 538, 29525, 267, 1118, 6267, 4299, 676, 2575, 267, 1118, 9439, 6251, 267, 543, 11349, 1004, 779, 27742, 476, 1547, 4475, 267, 621, 814, 1978, 2318, 4644, 547, 4163, 856, 1899, 7544, 538, 12621, 543, 9945, 563, 1607, 1957, 5258, 2852, 1053, 883, 1079, 2516, 585, 4603, 269, 1635, 11287, 519, 8097, 2164, 267, 621, 666, 581, 1336, 602, 538, 1899, 7544, 3450, 1697, 1899, 7544, 666, 2087, 519, 2168, 2298, 540, 2852, 1053, 269, 22702, 609, 2241, 3635, 2238, 267, 621, 666, 1732, 2087, 519, 2168, 2298, 540, 2852, 1053, 269, 8535, 2259, 666, 1118, 2852, 1053, 1732, 1174, 2575, 267, 865, 602, 789, 666, 9192, 2575, 538, 1899, 7544, 267, 1732, 11753, 2575, 543, 7544, 3268, 267, 543, 1685, 811, 5578, 2685, 538, 519, 2773, 269, 769, 1840, 267, 538, 519, 6024, 11191, 2866, 1053, 685, 5626, 16608, 2702, 547, 519, 6735, 666, 581, 4824, 267, 543, 519, 5626, 2298, 2702, 666, 581, 2417, 4824, 267, 865, 896, 519, 2178, 1582, 21873, 2852, 1053, 666, 723, 8273, 22192, 3196, 538, 519, 1899, 7544, 269, 1677, 2040, 909, 267, 5626, 2298, 267, 2575, 2298, 543, 2168, 1599, 666, 3927, 3895, 2852, 1053, 547, 4487, 519, 1983, 540, 1899, 7544, 269, 1358, 3895, 1142, 824, 267, 865, 789, 1058, 581, 2919, 538, 606, 782, 15778, 1259, 563, 29399, 267, 570, 1421, 2473, 26820, 267, 670, 1421, 27684, 267, 700, 1421, 1696, 620, 269, 630, 1001, 278, 264, 3194, 593, 519, 8177, 540, 7412, 19933, 593, 2657, 543, 8447, 24524, 540, 6348, 6261, 292, 11683, 21058, 5441, 4841, 269, 3026, 6359, 21628, 2233, 268, 775, 543, 5303, 267, 476, 4343, 267, 476, 10482, 268, 11820, 563, 19358, 267, 2473, 269, 630, 1001, 279, 264, 16709, 543, 6657, 540, 8871, 10056, 540, 968, 18118, 19933, 892, 538, 14451, 15642, 1049, 30793, 2471, 6874, 820, 21373, 534, 15379, 5441, 540, 5303, 607, 606, 7151, 269, 7073, 1436, 540, 4065, 267, 476, 276, 267, 476, 31172, 268, 28178, 266, 18458, 563, 18708, 267, 590, 1421, 808, 21628, 267, 962, 1421, 14576, 267, 667, 1421, 1696, 620, 269, 630, 1001, 279, 264, 3194, 593, 968, 28082, 7412, 19933, 6796, 717, 836, 892, 896, 519, 17461, 540, 5441, 4841, 685, 16743, 543, 29661, 1222, 269, 7913, 9442, 2622, 267, 476, 14917, 267, 476, 28434, 269, 0, 2690, 14540, 971, 607, 4813, 539, 1460, 2073, 2029, 538, 519, 4791, 8062, 2872, 568, 11613, 1898, 538, 1931, 547, 3136, 547, 1450, 741, 1870, 547, 1332, 607, 1134, 607, 4180, 4791, 8062, 1472, 519, 1158, 666, 3136, 9108, 543, 8308, 269, 901, 568, 938, 3391, 547, 875, 1271, 2029, 568, 538, 519, 4791, 8062, 2872, 563, 8139, 634, 11957, 2986, 11916, 2558, 10118, 454, 21413, 513, 8969, 835, 540, 519, 1034, 1271, 3344, 540, 713, 2376, 568, 519, 2949, 2956, 540, 4791, 8062, 2933, 269, 9453, 4791, 8062, 2564, 14540, 543, 6608, 1131, 581, 8572, 547, 4693, 10074, 610, 11955, 799, 616, 2629, 543, 1898, 538, 1931, 585, 1004, 547, 7639, 543, 2661, 3476, 563, 5194, 1883, 4128, 1946, 4791, 8062, 616, 865, 1271, 568, 2489, 1382, 269, 1306, 1134, 607, 3246, 12468, 3058, 11955, 543, 5574, 2073, 4791, 8062, 666, 581, 1031, 547, 5531, 2489, 1382, 585, 824, 14540, 971, 607, 6484, 3549, 607, 1134, 607, 14540, 7893, 1114, 2949, 8516, 2157, 540, 1004, 454, 1432, 5303, 1772, 28611, 13242, 10738, 11916, 2558, 10118, 888, 288, 1883, 2243, 799, 568, 1419, 4280, 568, 1018, 2029, 568, 4867, 1373, 1031, 1369, 4791, 8062, 286, 2290, 540, 519, 1034, 1455, 3029, 540, 2029, 602, 568, 1031, 1369, 4791, 8062, 616, 8143, 9196, 12514, 269, 10705, 8143, 9196, 12514, 616, 2877, 538, 1931, 547, 3715, 930, 2158, 2837, 15029, 789, 616, 18460, 4255, 563, 4322, 12514, 666, 1683, 606, 5813, 883, 1018, 338, 9648, 2949, 1369, 1346, 2469, 998, 519, 4791, 8062, 269, 6271, 1259, 1498, 799, 2029, 568, 1373, 1031, 538, 4791, 8062, 568, 5904, 269, 23675, 616, 11613, 4105, 547, 2327, 602, 4791, 8062, 666, 581, 6192, 593, 942, 543, 3077, 607, 1134, 607, 2348, 1239, 29429, 8308, 563, 3080, 540, 519, 1883, 1919, 547, 1832, 538, 2247, 609, 519, 946, 540, 5904, 1369, 519, 4791, 8062, 2872, 568, 602, 621, 568, 1898, 789, 616, 6854, 2228, 269, 9453, 519, 946, 540, 5904, 621, 1131, 581, 5393, 2352, 585, 1346, 4881, 519, 4791, 8062, 547, 1832, 3950, 540, 1239, 607, 1134, 607, 2845, 621, 8308, 269, 1284, 723, 1831, 882, 5050, 593, 513, 1062, 1759, 1472, 4359, 2029, 971, 607, 5904, 543, 621, 568, 1271, 602, 649, 1118, 519, 1034, 856, 540, 713, 2029, 563, 1432, 2052, 2142, 667, 821, 1677, 13724, 5303, 769, 634, 11916, 2558, 10118, 12752, 888, 2467, 568, 513, 2603, 602, 666, 581, 2944, 547, 2087, 2029, 538, 519, 4791, 8062, 2872, 2949, 269, 2290, 540, 519, 2081, 538, 799, 2029, 666, 581, 4824, 1369, 519, 4791, 8062, 2872, 568, 998, 2417, 5092, 676, 1382, 3549, 269, 23560, 3606, 5092, 883, 1949, 585, 4791, 8062, 1797, 602, 789, 616, 2693, 547, 581, 811, 3608, 543, 5488, 2949, 563, 13010, 607, 942, 814, 6410, 593, 2029, 814, 849, 6410, 609, 621, 543, 1004, 723, 1044, 2111, 547, 1569, 5488, 543, 811, 10995, 5904, 799, 723, 8476, 7207, 563, 14454, 547, 9959, 621, 568, 2312, 602, 4791, 8062, 666, 7494, 4324, 1007, 543, 4824, 2029, 269, 898, 568, 1898, 602, 2029, 568, 16111, 11368, 883, 4791, 8062, 538, 1931, 547, 2327, 602, 789, 616, 4977, 543, 6192, 3533, 547, 2417, 2564, 1382, 585, 519, 2104, 543, 2087, 5574, 585, 1272, 17116, 10108, 269, 0, 29866 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 5373, 5850, 267, 649, 786, 1397, 596, 875, 547, 2721, 513, 12113, 337, 926, 1107, 835, 540, 519, 1034, 4190, 543, 1134, 8153, 2706, 322, 1513, 538, 519, 1158, 563, 2171, 2813, 1776, 5373, 3391, 593, 875, 547, 2721, 513, 14361, 563, 763, 2319, 540, 14168, 9526, 532, 691, 2593, 1360, 1419, 14405, 6472, 269, 1284, 723, 2907, 6537, 513, 1286, 267, 513, 15177, 267, 543, 513, 1668, 267, 543, 1631, 649, 786, 1397, 596, 875, 547, 2721, 513, 15191, 563, 1103, 713, 5373, 3391, 649, 786, 1397, 596, 875, 547, 2721, 513, 14247, 788, 563, 1103, 713, 5373, 3391, 649, 786, 1397, 596, 875, 547, 2721, 513, 6928, 563, 2171, 4956, 547, 2628, 513, 2370, 3007, 547, 12400, 609, 513, 2603, 540, 2786, 3515, 543, 5347, 32725, 269, 4475, 267, 649, 2813, 513, 3992, 593, 875, 547, 2721, 513, 1668, 563, 1103, 713, 1360, 2241, 6044, 267, 519, 2319, 540, 14168, 9526, 532, 691, 2593, 786, 1397, 596, 875, 547, 2721, 513, 5721, 3362, 543, 1360, 3533, 563, 2171, 2648, 547, 2721, 9604, 543, 1114, 6472, 269, 1656, 538, 519, 6044, 593, 875, 547, 2721, 513, 7382, 267, 1312, 540, 891, 5373, 3615, 786, 581, 5916, 563, 5649, 619, 540, 14168, 9526, 532, 691, 2593, 1419, 4280, 721, 547, 1397, 875, 547, 2721, 606, 20987, 267, 543, 1934, 568, 713, 1360, 6044, 1354, 596, 563, 1103, 835, 540, 519, 3105, 5528, 267, 519, 14168, 9526, 532, 691, 2593, 2319, 4951, 875, 547, 2721, 513, 5624, 1222, 267, 538, 713, 2147, 6044, 649, 786, 1397, 875, 547, 2721, 513, 15177, 269, 0, 347, 14240, 1475, 10573, 306, 7051, 585, 519, 10495, 540, 15474, 12580, 2008, 18871, 14394, 1475, 10573, 21357, 9732, 24741, 1299, 10076, 2657, 2008, 1432, 1281, 590, 4338, 306, 1611, 888, 306, 7051, 585, 519, 10495, 540, 15474, 12580, 630, 306, 4338, 306, 264, 568, 513, 12773, 4336, 547, 2268, 2318, 2589, 538, 18624, 563, 16085, 677, 1635, 10573, 28082, 640, 1475, 2704, 8224, 1227, 1475, 23742, 614, 676, 10573, 15575, 787, 270, 8802, 542, 10573, 32051, 281, 2008, 1475, 306, 4338, 306, 1475, 21026, 3979, 17318, 6796, 2008, 1475, 306, 4338, 306, 1475, 8245, 680, 1881, 26590, 25665, 24143, 2008, 1475, 306, 4338, 306, 1475, 1805, 4165, 3415, 779, 5398, 3427, 2008, 1475, 306, 4338, 306, 1475, 306, 4338, 13335, 13437, 9208, 2008, 1475, 306, 4338, 306, 1475, 18184, 25575, 821, 5295, 3590, 2008, 21761, 18542, 5999, 630, 11902, 304, 994, 1432, 568, 519, 2407, 1106, 540, 590, 4338, 306, 538, 5369, 12278, 29698, 888, 763, 2407, 1106, 540, 590, 4338, 306, 568, 17361, 585, 519, 10495, 540, 15474, 12580, 0, 383, 500, 951, 7564, 1777, 940, 1285, 715, 7631, 894, 533, 18033, 1621, 1564, 6390, 25605, 454, 2304, 18781, 1739, 519, 2941, 3121, 543, 10503, 519, 1641, 568, 1572, 513, 32252, 894, 18781, 269, 769, 2901, 2013, 519, 32252, 894, 9148, 538, 1198, 19141, 519, 1641, 269, 32040, 1341, 1965, 572, 1341, 2392, 6510, 562, 7631, 894, 269, 9105, 7726, 18542, 476, 273, 3275, 3516, 563, 13202, 476, 2641, 267, 476, 1001, 280, 1733, 558, 538, 513, 20530, 6510, 715, 7631, 894, 269, 14780, 1047, 707, 1688, 952, 596, 917, 875, 547, 946, 7247, 269, 3767, 1832, 621, 6659, 952, 596, 2811, 8746, 596, 666, 2491, 922, 946, 13724, 707, 1893, 6575, 1702, 609, 1863, 2055, 538, 834, 26368, 16046, 13450, 267, 2392, 6510, 21371, 267, 543, 2392, 6510, 17205, 257, 543, 5215, 540, 824, 1893, 22105, 281, 2392, 6510, 562, 7631, 894, 269, 1215, 547, 4487, 32252, 919, 1496, 8882, 4919, 316, 609, 519, 1102, 4919, 267, 519, 1739, 1058, 8774, 930, 1769, 593, 13167, 513, 1434, 2392, 6510, 269, 562, 7631, 894, 910, 1621, 1564, 330, 1606, 26223, 330, 3921, 321, 758, 910, 6478, 27270, 2593, 269, 16046, 8231, 28872, 1042, 6510, 18781, 14672, 7631, 894, 910, 2296, 8307, 8468, 563, 5472, 325, 334, 281, 25197, 894, 2013, 910, 674, 20041, 454, 9217, 31221, 1775, 262, 928, 6390, 12103, 262, 331, 18223, 547, 2392, 6510, 8659, 513, 17122, 20020, 538, 1840, 547, 519, 835, 593, 519, 634, 1641, 538, 519, 8200, 16083, 568, 575, 7564, 3122, 543, 519, 2392, 6510, 568, 1119, 14982, 898, 568, 607, 952, 887, 7717, 568, 538, 519, 562, 7631, 894, 609, 2463, 547, 4378, 267, 1775, 269, 552, 269, 4378, 1281, 5695, 684, 523, 270, 328, 267, 17677, 17683, 540, 22194, 543, 740, 915, 2526, 32252, 919, 281, 589, 1353, 540, 519, 562, 7631, 894, 1700, 10520, 331, 894, 6467, 538, 8210, 5414, 320, 282, 1775, 299, 27222, 345, 331, 6759, 670, 2632, 328, 270, 328, 267, 661, 1206, 328, 7564, 795, 320, 20735, 7159, 320, 563, 293, 329, 7564, 916, 330, 910, 23008, 1057, 343, 454, 2005, 2501, 1310, 513, 16046, 8231, 269, 589, 2392, 6510, 562, 7631, 894, 568, 849, 1572, 513, 2392, 6510, 10902, 1317, 621, 568, 2141, 513, 10902, 563, 303, 328, 12683, 726, 1575, 325, 726, 10967, 2739, 1494, 1761, 2392, 2392, 6510, 269, 14210, 1383, 5220, 948, 707, 1362, 2689, 543, 2697, 513, 4845, 781, 1641, 267, 2962, 8231, 267, 16046, 8231, 267, 2392, 6510, 562, 7631, 894, 267, 543, 2392, 6510, 18781, 269, 642, 4673, 267, 9890, 3331, 359, 30036, 267, 7602, 498, 581, 2443, 1031, 547, 5815, 602, 519, 1641, 4249, 519, 1909, 540, 519, 2392, 6510, 562, 7631, 894, 269, 3040, 642, 4673, 267, 9890, 3331, 359, 30036, 267, 7602, 498, 581, 2443, 1031, 547, 1921, 513, 10902, 547, 606, 18781, 454, 1492, 10902, 16083, 1373, 1031, 538, 713, 4845, 3733, 16455, 14560, 945, 1197, 8464, 519, 1034, 3853, 563, 303, 1042, 6510, 715, 7631, 894, 589, 2392, 6510, 562, 7631, 894, 568, 513, 10902, 602, 2501, 1310, 513, 16046, 8231, 543, 814, 519, 1482, 2495, 610, 1871, 607, 519, 1641, 540, 513, 4845, 269, 2913, 781, 2736, 1346, 2474, 1524, 269, 634, 1641, 540, 513, 589, 2392, 6510, 562, 7631, 894, 568, 849, 1572, 513, 1641, 9148, 610, 513, 2392, 6510, 10902, 269, 634, 2392, 6510, 562, 7631, 894, 3335, 5205, 519, 8231, 547, 581, 563, 303, 1042, 6510, 562, 7631, 894, 910, 1586, 5213, 1405, 2392, 6510, 562, 7631, 2510, 1175, 25657, 1919, 286, 1280, 1383, 281, 834, 288, 4009, 568, 513, 13551, 2437, 543, 834, 288, 13551, 568, 513, 4009, 2437, 616, 1079, 5220, 609, 11207, 1114, 10096, 630, 663, 835, 540, 873, 568, 2141, 3020, 267, 1247, 519, 824, 568, 711, 2141, 3020, 1070, 855, 952, 649, 1521, 1312, 834, 5550, 4120, 257, 543, 834, 338, 13645, 257, 607, 562, 7631, 2510, 267, 1287, 972, 568, 1100, 3017, 1063, 519, 1079, 269, 4635, 519, 562, 7631, 894, 2013, 6920, 602, 519, 15749, 568, 9117, 607, 519, 1641, 540, 513, 2016, 16083, 610, 607, 513, 2392, 6510, 562, 7631, 894, 1739, 513, 16046, 8231, 269, 4427, 11187, 25460, 10494, 7327, 983, 594, 267, 1352, 267, 646, 267, 621, 1773, 7498, 6624, 12261, 1383, 5220, 5627, 834, 335, 1042, 6510, 562, 7631, 894, 257, 1107, 5053, 30165, 8675, 543, 3406, 2599, 585, 5053, 16627, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 834, 763, 15255, 1725, 320, 18437, 1590, 581, 1957, 6253, 514, 2437, 966, 1550, 2798, 856, 269, 476, 1724, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 1280, 519, 1546, 293, 531, 6523, 267, 519, 1818, 540, 18437, 3788, 606, 1148, 563, 275, 269, 275, 269, 275, 32040, 9537, 543, 21261, 12856, 476, 6858, 269, 476, 275, 269, 276, 20113, 269, 476, 10170, 269, 476, 276, 2859, 593, 23527, 543, 21770, 630, 6518, 267, 7429, 538, 2296, 267, 616, 519, 1482, 585, 4865, 633, 543, 562, 7631, 894, 1916, 2252, 596, 10093, 1405, 2938, 4906, 8805, 2676, 301, 7631, 894, 910, 634, 562, 7631, 894, 1106, 540, 513, 2123, 15749, 568, 1031, 950, 513, 15749, 3252, 607, 513, 715, 7631, 894, 25460, 1735, 22553, 589, 2392, 6510, 562, 7631, 894, 568, 513, 454, 14620, 1797, 6497, 1847, 3350, 562, 7631, 894, 21785, 1843, 2049, 6252, 12809, 8834, 2990, 2009, 9551, 525, 2392, 6510, 1459, 1966, 3601, 454, 1103, 1978, 24947, 267, 2022, 333, 558, 1400, 21371, 616, 6251, 547, 2392, 6510, 20530, 545, 919, 799, 3576, 1875, 5991, 7631, 894, 2058, 6203, 538, 10396, 855, 799, 723, 454, 341, 4673, 267, 9890, 1583, 267, 7602, 498, 581, 2443, 1031, 547, 5815, 602, 519, 1641, 4249, 519, 1909, 540, 519, 2392, 6510, 562, 7631, 894, 563, 289, 745, 22894, 812, 535, 18033, 533, 20811, 533, 18033, 1135, 529, 325, 7238, 9071, 23152, 454, 8926, 6108, 14442, 2785, 329, 454, 16808, 1115, 11526, 1782, 523, 575, 1774, 321, 3073, 2816, 321, 454, 23251, 1026, 1903, 693, 476, 3583, 272, 476, 273, 454, 309, 4696, 3331, 353, 305, 11553, 3633, 31082, 2969, 715, 6865, 2562, 288, 2316, 22849, 286, 910, 670, 9331, 3198, 296, 3036, 288, 910, 476, 1708, 272, 454, 8794, 519, 562, 7631, 894, 2013, 6920, 602, 519, 15749, 568, 9117, 607, 519, 1641, 540, 513, 2016, 16083, 610, 607, 513, 2392, 6510, 562, 7631, 894, 1739, 513, 16046, 8231, 269, 4427, 11187, 25460, 10494, 7327, 983, 594, 267, 1352, 267, 646, 267, 621, 1773, 2507, 3509, 12261, 1383, 5220, 5627, 834, 335, 1042, 6510, 562, 7631, 894, 257, 1107, 5053, 30165, 8675, 543, 3406, 2599, 585, 5053, 16627, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 834, 763, 15255, 1725, 320, 18437, 1590, 581, 1957, 6253, 514, 2437, 966, 1550, 2798, 856, 563, 341, 4673, 281, 5053, 543, 16528, 9612, 11778, 1336, 538, 519, 910, 3955, 6921, 582, 454, 763, 562, 7631, 894, 2013, 568, 519, 2013, 602, 519, 1641, 568, 538, 269, 769, 2296, 519, 1641, 543, 2392, 6510, 562, 7631, 894, 616, 13747, 676, 2262, 1931, 630, 1492, 634, 562, 7631, 894, 2013, 568, 519, 2013, 602, 519, 1641, 568, 538, 269, 769, 2296, 519, 1641, 543, 2392, 6510, 562, 7631, 894, 616, 13747, 676, 2262, 1931, 630, 1492, 589, 2392, 6510, 562, 7631, 894, 568, 513, 10902, 610, 15749, 602, 29349, 513, 16046, 8231, 901, 2985, 814, 811, 1806, 540, 2392, 6510, 562, 7631, 2510, 543, 606, 7317, 3635, 269, 16528, 3096, 519, 562, 7631, 894, 2013, 950, 621, 781, 519, 1843, 540, 519, 8231, 834, 309, 4673, 8487, 2005, 2048, 5591, 835, 30128, 952, 707, 1453, 917, 1018, 513, 2392, 6510, 562, 7631, 894, 568, 4849, 519, 21101, 540, 8239, 960, 9248, 10200, 2048, 3719, 594, 1705, 5469, 835, 4806, 1310, 513, 2370, 811, 10478, 281, 2048, 1492, 20148, 540, 685, 11148, 547, 2049, 538, 2392, 6510, 562, 7631, 2510, 910, 602, 568, 267, 538, 10902, 2453, 1310, 930, 1106, 540, 581, 267, 607, 538, 2048, 2791, 2811, 711, 519, 20148, 540, 803, 9957, 685, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 20530, 6510, 715, 7631, 894, 269, 2368, 540, 519, 3211, 585, 713, 1523, 616, 6034, 3615, 9940, 3615, 2392, 6510, 562, 7631, 2510, 267, 3848, 476, 1724, 1264, 906, 1264, 906, 267, 20530, 6510, 562, 7631, 2510, 267, 20530, 6510, 21371, 960, 267, 17327, 2259, 1210, 21770, 607, 2392, 6510, 562, 7631, 2510, 267, 8745, 4266, 2392, 6510, 21371, 3450, 267, 7388, 618, 1463, 543, 9940, 3615, 1641, 7689, 476, 10755, 20668, 540, 519, 22054, 910, 20530, 6510, 715, 7631, 894, 269, 0, 13553, 776, 1416, 1770, 3251, 454, 7093, 332, 1155, 9002, 616, 1419, 4535, 4617, 267, 17596, 1489, 538, 4543, 741, 6263, 4703, 1020, 7363, 543, 4339, 1055, 4713, 269, 5213, 622, 267, 543, 948, 2327, 513, 20169, 779, 6668, 563, 290, 22664, 5508, 21832, 289, 3036, 301, 11083, 22444, 31631, 14473, 595, 22664, 6167, 3951, 454, 763, 1101, 476, 2764, 2395, 540, 1272, 1107, 519, 30564, 1974, 1107, 568, 519, 1034, 7925, 942, 585, 513, 1126, 779, 6668, 269, 5753, 3068, 519, 5207, 1981, 540, 12955, 538, 741, 1101, 3923, 540, 1272, 693, 606, 3328, 2518, 2557, 540, 476, 1704, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 538, 476, 1001, 280, 563, 303, 8140, 814, 519, 476, 273, 526, 5207, 10867, 9019, 538, 519, 1158, 268, 476, 5655, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 563, 763, 6281, 1416, 1770, 2501, 609, 519, 12588, 547, 1683, 1416, 585, 29507, 4535, 1310, 476, 4097, 4374, 543, 20604, 811, 982, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4495, 1134, 6404, 267, 13248, 519, 7848, 1394, 883, 519, 1494, 543, 13489, 9900, 547, 9192, 269, 4635, 513, 5892, 5423, 18506, 2528, 5849, 602, 519, 6225, 561, 12519, 3679, 4551, 616, 1459, 543, 4712, 547, 2490, 519, 5144, 883, 18506, 780, 3721, 476, 276, 281, 18734, 519, 631, 4869, 675, 547, 606, 661, 691, 1156, 2264, 8000, 610, 808, 1513, 454, 8794, 513, 17078, 548, 610, 7893, 7484, 267, 5402, 4483, 519, 7848, 883, 10322, 28895, 552, 691, 1156, 2264, 17428, 610, 4837, 30660, 267, 6028, 827, 476, 16006, 10759, 540, 2230, 693, 519, 1283, 269, 15147, 873, 29101, 609, 513, 2973, 12308, 610, 19984, 267, 4180, 972, 568, 2614, 2011, 10009, 585, 1697, 18829, 780, 3721, 476, 277, 281, 12113, 618, 519, 962, 690, 4669, 454, 20278, 519, 4988, 11149, 538, 513, 3636, 1858, 267, 23679, 1063, 476, 6507, 13790, 910, 476, 10436, 13790, 630, 1839, 9180, 910, 476, 1789, 9180, 1070, 971, 607, 513, 5828, 11325, 14089, 609, 513, 12681, 1769, 610, 513, 6169, 532, 4216, 269, 14190, 519, 18506, 547, 7542, 618, 585, 5111, 476, 277, 547, 476, 279, 3108, 269, 4438, 713, 1974, 267, 519, 4551, 786, 8532, 26178, 538, 519, 5144, 543, 3132, 561, 12519, 3679, 267, 4929, 519, 7848, 547, 5394, 523, 543, 1020, 922, 8984, 25188, 6492, 269, 6744, 519, 11007, 1310, 476, 277, 3108, 282, 952, 621, 18387, 1405, 1305, 18481, 267, 1450, 621, 547, 7542, 618, 585, 1776, 5662, 1354, 10992, 1586, 780, 3721, 476, 278, 281, 932, 650, 519, 962, 690, 4669, 454, 5475, 519, 5551, 11098, 543, 25188, 1145, 723, 2919, 267, 12104, 4733, 519, 18506, 585, 1896, 3108, 610, 16074, 1354, 10438, 269, 901, 9023, 25815, 1524, 519, 18829, 1184, 543, 2636, 519, 18506, 547, 6109, 909, 2417, 269, 5901, 538, 2247, 602, 19176, 18506, 11148, 547, 581, 25182, 982, 5259, 18506, 1813, 547, 3604, 538, 2269, 1456, 2409, 780, 7659, 9669, 543, 13832, 1384, 265, 2422, 1164, 7779, 267, 23295, 5214, 267, 5144, 585, 1655, 2164, 563, 265, 11408, 2327, 782, 3937, 543, 27022, 616, 8499, 19345, 543, 24846, 1242, 1354, 4358, 563, 265, 19321, 5812, 5210, 1282, 8022, 543, 18829, 3157, 563, 265, 2142, 3461, 9789, 3476, 519, 18506, 7542, 906, 267, 519, 6793, 922, 8137, 543, 9403, 1831, 563, 265, 16440, 513, 6712, 540, 707, 19471, 18506, 547, 4196, 607, 519, 25690, 2528, 585, 2104, 10627, 2583, 269, 15188, 621, 538, 519, 26806, 585, 1100, 3476, 982, 1079, 4374, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 24158, 540, 18506, 267, 594, 5063, 1185, 519, 12257, 540, 12423, 19176, 18506, 267, 543, 621, 3533, 2968, 835, 540, 1250, 29202, 269, 634, 27598, 543, 8126, 344, 8137, 267, 5916, 609, 922, 1072, 2640, 267, 1500, 621, 513, 20013, 538, 1250, 2732, 269, 1809, 594, 4941, 547, 1451, 811, 827, 922, 1686, 267, 2010, 267, 543, 12478, 267, 543, 602, 779, 950, 594, 16686, 2390, 962, 601, 334, 779, 5816, 269, 962, 601, 334, 779, 3102, 3391, 547, 19176, 18506, 8118, 909, 513, 2898, 1007, 1158, 585, 803, 563, 8450, 811, 281, 476, 736, 266, 4107, 5548, 5534, 19176, 667, 17143, 338, 454, 1432, 568, 19176, 18506, 888, 2108, 8489, 568, 18506, 689, 8385, 9495, 19176, 18506, 568, 513, 1826, 540, 18506, 602, 12090, 538, 10476, 269, 634, 18506, 3294, 568, 5156, 547, 723, 12090, 538, 6239, 5607, 267, 855, 621, 814, 1044, 10150, 538, 10476, 585, 5553, 563, 763, 1818, 540, 18506, 538, 10476, 814, 7960, 936, 942, 267, 689, 519, 2757, 1505, 540, 1210, 552, 691, 1156, 2264, 17428, 547, 2413, 2553, 602, 946, 6191, 563, 312, 690, 4669, 814, 2686, 4644, 538, 10476, 267, 607, 621, 568, 5156, 547, 723, 1072, 2640, 543, 568, 1419, 1031, 538, 2757, 19176, 4915, 269, 8304, 3534, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 16930, 23123, 1315, 667, 8543, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 1626, 281, 4197, 3776, 3143, 19192, 2622, 910, 10289, 14675, 543, 3600, 15064, 21694, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 782, 519, 1114, 4992, 602, 3295, 721, 1169, 1554, 286, 3245, 519, 669, 597, 4771, 540, 5017, 538, 519, 6640, 547, 519, 23832, 540, 707, 2011, 30690, 267, 938, 1158, 568, 4904, 609, 513, 1623, 21620, 540, 21089, 269, 1809, 1018, 4523, 950, 891, 21089, 1831, 1932, 10978, 610, 11566, 286, 2334, 781, 1141, 649, 991, 547, 1174, 17974, 5533, 780, 10907, 15064, 5533, 4016, 547, 519, 7050, 6846, 2157, 538, 938, 1604, 602, 666, 11874, 1764, 1312, 3425, 543, 2831, 269, 5994, 3843, 547, 1353, 585, 513, 1449, 1247, 707, 7023, 568, 1025, 8463, 2575, 1107, 621, 1131, 581, 7168, 2182, 547, 13404, 267, 1318, 286, 4270, 267, 602, 779, 1175, 835, 1383, 540, 875, 17974, 5533, 666, 1860, 721, 780, 4131, 781, 1376, 676, 1620, 3280, 3294, 269, 5620, 596, 2479, 8068, 602, 930, 4992, 616, 1164, 1790, 17097, 899, 6177, 8964, 267, 1247, 1866, 616, 1970, 1790, 17097, 899, 19711, 678, 22824, 538, 519, 3845, 286, 4400, 1790, 17097, 4992, 723, 10156, 6329, 543, 5854, 622, 5488, 982, 1970, 1790, 17097, 3283, 269, 1284, 2268, 3280, 1210, 1945, 1572, 1232, 756, 1564, 630, 323, 289, 1040, 1733, 529, 27128, 1522, 581, 1472, 476, 1789, 28108, 267, 3339, 6643, 568, 827, 476, 2568, 28108, 267, 543, 513, 4224, 13447, 666, 3914, 909, 547, 476, 6344, 28108, 256, 1160, 14075, 539, 4598, 547, 4992, 936, 476, 5952, 28108, 666, 2014, 6217, 3441, 780, 3086, 267, 1577, 781, 2911, 827, 17974, 5533, 269, 1879, 972, 616, 3586, 10978, 21089, 538, 606, 1858, 267, 971, 607, 6808, 267, 4070, 4609, 267, 610, 1256, 10978, 1753, 8305, 657, 267, 789, 1711, 17974, 5533, 269, 7043, 3856, 4598, 547, 971, 2175, 666, 1291, 547, 1072, 2152, 899, 2566, 267, 3207, 18063, 267, 9025, 2042, 267, 543, 9811, 267, 6217, 2530, 780, 5331, 2713, 2282, 606, 19633, 1141, 14742, 1491, 1055, 543, 2244, 7683, 269, 634, 6846, 1377, 1223, 3362, 9765, 2922, 7182, 267, 4929, 9636, 543, 1761, 2800, 547, 1346, 23493, 7404, 269, 4634, 693, 1153, 267, 952, 519, 4282, 6846, 568, 1932, 1164, 1813, 547, 4057, 13471, 610, 4092, 2673, 547, 11112, 9897, 267, 621, 949, 15936, 609, 1565, 780, 2467, 616, 2081, 547, 8396, 17974, 5533, 1498, 269, 31896, 4054, 543, 2870, 3039, 5624, 666, 948, 10110, 3280, 30335, 269, 22749, 666, 17997, 9602, 10851, 2282, 10506, 543, 3506, 267, 10038, 4853, 6846, 5434, 267, 543, 3895, 1857, 4656, 827, 519, 3390, 269, 2311, 1753, 267, 649, 666, 849, 3565, 676, 1373, 13533, 540, 938, 1378, 6846, 2504, 780, 1103, 3932, 267, 938, 1158, 814, 1082, 4992, 267, 855, 3006, 891, 1360, 4992, 666, 1831, 5739, 269, 1635, 1620, 17974, 5533, 267, 649, 1451, 875, 547, 2149, 6000, 543, 8190, 519, 2298, 540, 1272, 538, 938, 2950, 269, 3807, 899, 7432, 1524, 519, 4320, 950, 8384, 7641, 3735, 693, 3781, 865, 607, 711, 547, 12687, 909, 1920, 2818, 267, 1507, 3527, 666, 1118, 513, 2462, 3017, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 4647, 10765, 25790, 9927, 678, 5792, 856, 17291, 519, 7160, 4262, 1949, 267, 945, 2366, 519, 1950, 1416, 2598, 25068, 538, 519, 1985, 942, 540, 476, 1001, 273, 268, 1001, 274, 269, 769, 713, 2985, 267, 606, 840, 23150, 642, 5249, 4448, 269, 634, 7025, 17402, 17361, 543, 519, 2490, 540, 519, 7025, 4065, 4934, 2492, 17361, 267, 799, 1185, 12261, 676, 519, 10917, 3949, 267, 18796, 4824, 607, 1957, 6959, 269, 634, 3156, 22234, 1759, 856, 2429, 519, 1576, 269, 4647, 10765, 1772, 2141, 3035, 3906, 269, 634, 2104, 3741, 540, 519, 6341, 4673, 16323, 2657, 5516, 3590, 538, 476, 1220, 272, 268, 1220, 276, 269, 634, 1007, 5525, 540, 519, 6341, 4673, 16323, 2657, 5516, 3590, 538, 476, 1220, 280, 268, 1001, 274, 269, 8447, 11790, 540, 5113, 269, 533, 269, 540, 30433, 18567, 540, 570, 690, 2993, 3430, 328, 1763, 7808, 9351, 269, 1604, 543, 1249, 540, 6576, 267, 476, 272, 267, 6902, 476, 736, 268, 2190, 269, 5329, 3600, 15064, 21694, 540, 570, 690, 2993, 3430, 328, 1763, 7808, 9351, 543, 6480, 11582, 540, 922, 2376, 593, 15510, 2657, 269, 901, 32195, 513, 1434, 4647, 10765, 25790, 538, 5467, 269, 4999, 540, 3896, 2395, 689, 519, 6221, 15766, 908, 3678, 23534, 1336, 10620, 3010, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19522, 547, 4543, 513, 6129, 10767, 660, 2030, 454, 4692, 2371, 9156, 689, 3141, 14315, 888, 5522, 1218, 786, 2356, 856, 326, 992, 5634, 3141, 14315, 269, 4563, 2127, 593, 3762, 666, 5815, 15470, 3441, 269, 634, 1034, 6534, 3762, 786, 1397, 811, 3441, 952, 519, 2371, 723, 1044, 562, 5792, 676, 513, 1769, 15470, 269, 674, 10008, 720, 602, 814, 1044, 8697, 676, 513, 3735, 1606, 7428, 15470, 786, 711, 9156, 267, 855, 519, 2371, 786, 2356, 856, 326, 992, 519, 3441, 269, 3842, 454, 1432, 2337, 12115, 513, 3141, 14315, 539, 2030, 888, 308, 16744, 607, 621, 568, 267, 519, 1655, 3364, 547, 798, 827, 26151, 2208, 568, 547, 4734, 621, 581, 543, 547, 1683, 607, 1454, 1216, 607, 2009, 547, 8697, 2371, 269, 8617, 2620, 14450, 2059, 609, 513, 12353, 3498, 540, 513, 32420, 512, 4577, 630, 2254, 835, 5627, 1022, 6992, 16014, 264, 2337, 2371, 547, 9156, 269, 3842, 454, 1692, 798, 596, 2847, 633, 513, 1085, 528, 3481, 2030, 888, 4131, 519, 3037, 723, 513, 2407, 27653, 267, 543, 952, 2009, 267, 1205, 519, 3003, 2030, 6632, 538, 519, 1184, 267, 538, 1931, 547, 3579, 621, 1055, 269, 1677, 1832, 707, 11255, 2030, 781, 7509, 2157, 1164, 267, 1747, 519, 1494, 538, 513, 26745, 540, 1216, 269, 1411, 786, 1616, 547, 16013, 519, 4666, 610, 1085, 528, 3481, 16714, 1310, 5265, 14450, 269, 3842, 454, 19675, 594, 2759, 1055, 3141, 14315, 539, 3762, 888, 8133, 269, 17179, 6960, 543, 12955, 3762, 689, 707, 2777, 2371, 607, 4166, 607, 2009, 267, 855, 1152, 952, 789, 2811, 811, 982, 476, 2004, 2600, 8697, 269, 28981, 1055, 891, 3762, 2636, 519, 6967, 2635, 16714, 547, 4309, 811, 5567, 543, 10607, 519, 2030, 781, 5920, 269, 3842, 454, 4692, 2030, 1205, 1932, 1454, 3141, 888, 5522, 1218, 616, 9277, 547, 6159, 557, 7943, 267, 855, 1932, 1454, 7943, 666, 1711, 5732, 14686, 1863, 18119, 269, 1809, 952, 519, 2371, 616, 6534, 547, 1932, 1454, 3141, 267, 891, 6675, 10110, 811, 1648, 982, 789, 666, 6023, 543, 5352, 19535, 2249, 540, 5135, 602, 666, 6861, 519, 2030, 269, 3842, 454, 1692, 798, 596, 917, 952, 707, 2030, 568, 3478, 1932, 1454, 3141, 888, 4692, 513, 2030, 7639, 3597, 4232, 888, 303, 1503, 784, 539, 3597, 4232, 949, 1291, 547, 2669, 540, 519, 2030, 269, 769, 3665, 2665, 267, 2371, 4299, 676, 3597, 4232, 949, 5884, 1369, 476, 1015, 2395, 269, 17848, 4232, 568, 2356, 24037, 4352, 621, 568, 1521, 762, 269, 1323, 4299, 2030, 786, 711, 7363, 7639, 267, 855, 949, 5732, 581, 9070, 730, 269, 3842, 454, 4692, 2371, 9156, 689, 3002, 2566, 888, 310, 559, 1154, 4386, 950, 1970, 7509, 538, 519, 2030, 5932, 513, 3668, 540, 1216, 2604, 1369, 519, 2030, 269, 5871, 538, 1875, 2914, 797, 344, 5993, 338, 543, 17506, 10118, 267, 1082, 2371, 786, 9156, 950, 5210, 6749, 269, 15783, 585, 8628, 3441, 4679, 609, 519, 3259, 540, 942, 602, 513, 2030, 3788, 27315, 1540, 269, 3842, 454, 1432, 616, 519, 4191, 540, 513, 12955, 2030, 888, 2080, 616, 1906, 1455, 2589, 543, 1018, 789, 949, 1611, 912, 3674, 4006, 1216, 1434, 585, 2371, 888, 16987, 2939, 532, 609, 17491, 4826, 538, 12518, 454, 2005, 4667, 9266, 547, 8263, 602, 952, 649, 1039, 4006, 950, 649, 1216, 267, 649, 1131, 2333, 519, 2208, 540, 519, 2030, 269, 1717, 267, 1932, 1454, 4006, 666, 2965, 2014, 9258, 23015, 2670, 547, 2049, 267, 1818, 519, 2030, 6336, 1216, 543, 5555, 5884, 269, 3842, 454, 19675, 4666, 3762, 581, 6569, 888, 2691, 596, 1294, 4666, 3762, 267, 26862, 11710, 267, 610, 6960, 2694, 540, 3762, 267, 2759, 873, 2476, 269, 898, 781, 5386, 547, 726, 3089, 4666, 3762, 610, 11710, 609, 707, 3946, 950, 2009, 267, 1175, 1810, 1405, 7485, 1932, 2182, 610, 596, 949, 3441, 519, 2635, 851, 540, 707, 2030, 269, 1280, 27162, 615, 11710, 610, 547, 4894, 6960, 6978, 4388, 543, 8728, 267, 946, 23805, 610, 18309, 1352, 1513, 269, 3842, 454, 3963, 798, 1250, 2371, 1413, 26151, 888, 24456, 4388, 666, 2490, 6960, 950, 789, 2811, 6534, 547, 1932, 1454, 13226, 543, 1932, 1082, 20919, 1628, 909, 538, 519, 3037, 269, 1879, 713, 4523, 547, 1494, 1540, 2371, 267, 4388, 2490, 6960, 689, 513, 2783, 1634, 607, 13226, 6633, 610, 9133, 6633, 269, 1306, 513, 1267, 267, 1216, 31398, 337, 1882, 2030, 4388, 2490, 6960, 269, 3842, 454, 19675, 594, 4894, 26151, 3289, 9792, 320, 3762, 888, 7230, 8221, 536, 27547, 24968, 10607, 519, 1413, 540, 519, 2030, 543, 585, 556, 1532, 5979, 4040, 8677, 2337, 547, 3895, 519, 2504, 540, 811, 5810, 269, 9466, 544, 641, 3650, 5810, 6920, 602, 519, 2030, 568, 3395, 538, 1932, 1454, 3141, 267, 610, 602, 519, 5810, 723, 27315, 1540, 1932, 1082, 2053, 689, 711, 2614, 14450, 269, 3842, 454, 1692, 798, 596, 2995, 952, 707, 2371, 616, 3478, 1932, 1454, 1216, 888, 1432, 1281, 606, 936, 530, 23926, 2030, 1413, 899, 888, 29819, 540, 3683, 342, 23926, 12518, 281, 1548, 547, 6733, 1280, 454, 14294, 835, 281, 1403, 513, 2030, 568, 7670, 23926, 267, 621, 786, 2693, 1020, 5835, 610, 6960, 267, 1929, 335, 3762, 607, 10353, 547, 3819, 267, 5743, 6853, 3762, 630, 6518, 616, 2965, 513, 1129, 540, 1932, 2370, 1216, 1040, 12070, 1154, 3762, 2356, 1611, 602, 3597, 4232, 814, 1305, 538, 543, 519, 5072, 666, 1100, 3476, 10110, 1216, 269, 3842, 454, 1432, 786, 4755, 952, 596, 2322, 1932, 1454, 1216, 538, 707, 2030, 888, 4407, 519, 5072, 540, 513, 2030, 1491, 909, 1216, 267, 789, 849, 991, 2011, 547, 13236, 269, 3683, 22476, 267, 538, 2241, 2474, 267, 546, 992, 985, 707, 2030, 269, 1403, 972, 568, 1932, 1454, 1216, 610, 519, 3037, 568, 7683, 6632, 267, 972, 568, 711, 2614, 2011, 22836, 269, 901, 2164, 538, 513, 3908, 5135, 3761, 543, 2371, 616, 711, 2111, 547, 13236, 269, 3842, 0, 26469, 12722, 2717, 6674, 729, 606, 1977, 18048, 543, 513, 2101, 4137, 538, 519, 7493, 4082, 626, 3350, 269, 1261, 729, 4922, 8068, 585, 1010, 834, 323, 8692, 4480, 257, 540, 26311, 610, 10943, 4770, 5277, 7622, 5862, 5196, 513, 8880, 2627, 267, 7175, 1864, 547, 2070, 543, 5862, 1010, 666, 341, 1162, 689, 782, 7285, 563, 29820, 281, 476, 2764, 5130, 476, 4489, 273, 267, 595, 1328, 267, 29131, 267, 2136, 2276, 454, 291, 1221, 281, 476, 1556, 4864, 476, 4198, 277, 267, 25951, 267, 1715, 3840, 267, 2136, 2276, 454, 8967, 1787, 281, 10557, 918, 6652, 1676, 630, 332, 269, 476, 3707, 276, 1700, 4198, 277, 994, 20540, 338, 281, 17593, 4082, 1143, 267, 7073, 1148, 267, 11059, 7206, 0, 10673, 1405, 899, 547, 1224, 888, 2419, 8522, 779, 3345, 4521, 526, 1446, 5441, 16721, 630, 301, 9448, 303, 264, 4168, 320, 543, 19811, 3786, 4926, 616, 1753, 547, 741, 13780, 958, 6444, 13458, 2782, 1874, 2875, 2516, 269, 634, 1883, 547, 891, 2516, 568, 3384, 1053, 883, 9691, 3206, 267, 1966, 9010, 1762, 4079, 563, 9961, 713, 1184, 267, 513, 3844, 4998, 6026, 547, 519, 1053, 568, 835, 540, 12560, 32593, 775, 269, 1306, 519, 2866, 5170, 267, 1053, 616, 5189, 547, 519, 3670, 3741, 540, 3751, 1014, 6348, 24825, 775, 543, 875, 547, 6451, 713, 6138, 883, 741, 3232, 1272, 269, 1452, 3741, 267, 13423, 558, 1242, 676, 3220, 269, 9410, 13162, 3751, 267, 616, 3810, 9833, 563, 763, 3751, 1014, 6348, 24825, 775, 3741, 616, 607, 5205, 281, 14362, 835, 543, 1079, 616, 32593, 775, 568, 513, 1259, 540, 1272, 585, 29752, 1004, 267, 543, 519, 11537, 2146, 568, 519, 5943, 585, 519, 2104, 269, 14362, 1614, 543, 2185, 4323, 4229, 540, 9409, 267, 711, 7606, 3257, 9409, 267, 543, 3398, 7092, 1510, 1427, 531, 2747, 585, 519, 2014, 779, 19160, 547, 3035, 513, 3804, 269, 7053, 267, 519, 2063, 1079, 616, 547, 2057, 4835, 5208, 540, 519, 6891, 543, 5007, 2168, 5208, 563, 5475, 3811, 12032, 540, 2866, 267, 1053, 32410, 547, 513, 1272, 540, 32593, 775, 1247, 3450, 1866, 269, 715, 9448, 303, 779, 13458, 2782, 19144, 9797, 1764, 519, 4081, 2528, 543, 5790, 676, 3927, 2502, 1053, 607, 3401, 593, 741, 3786, 4926, 269, 1452, 3401, 948, 6175, 5208, 267, 2333, 1620, 267, 543, 1683, 11215, 19093, 547, 9601, 540, 15779, 2621, 563, 4415, 713, 267, 519, 2528, 593, 13464, 3587, 8902, 543, 7109, 762, 585, 922, 5234, 543, 1053, 269, 901, 4998, 22471, 559, 4259, 568, 711, 1152, 835, 540, 1447, 5208, 855, 835, 602, 2488, 513, 4062, 540, 2247, 585, 1346, 945, 723, 4810, 5208, 543, 8194, 538, 741, 2729, 2907, 269, 634, 1565, 1604, 1058, 581, 835, 540, 3356, 543, 7607, 267, 543, 519, 13458, 2782, 19144, 960, 547, 2327, 602, 4523, 563, 15987, 715, 9448, 303, 1053, 8362, 1031, 519, 11036, 547, 1689, 875, 741, 2146, 20781, 547, 6411, 540, 5208, 267, 513, 1505, 6580, 1394, 7366, 540, 1296, 563, 1103, 519, 476, 1704, 628, 2540, 267, 6723, 16737, 8547, 519, 16241, 5980, 540, 14886, 267, 1631, 1634, 607, 2372, 5474, 538, 4789, 269, 634, 1895, 5156, 602, 519, 4527, 540, 2696, 759, 3660, 538, 782, 1004, 543, 602, 972, 1058, 581, 5289, 7862, 585, 2367, 543, 2021, 563, 29662, 750, 16737, 2451, 2296, 11068, 4133, 538, 519, 476, 13932, 271, 338, 538, 3406, 540, 5289, 21481, 269, 2201, 1010, 17714, 267, 16737, 5433, 519, 4527, 540, 2696, 6340, 2047, 547, 1864, 267, 538, 1945, 602, 646, 1572, 968, 13449, 902, 892, 602, 5795, 1864, 4287, 269, 1261, 3838, 1010, 4978, 538, 1804, 19771, 563, 1103, 476, 13679, 273, 267, 16737, 1558, 20152, 26665, 267, 513, 2104, 6205, 540, 519, 2038, 2372, 6033, 3350, 269, 4173, 1753, 267, 4210, 14390, 332, 3233, 8065, 538, 19566, 4789, 267, 729, 8246, 607, 513, 5870, 1747, 585, 2372, 6033, 19771, 269, 16737, 543, 26665, 9310, 538, 476, 14917, 278, 563, 7712, 21945, 538, 519, 2136, 2276, 538, 519, 4571, 268, 13679, 271, 338, 267, 2372, 5474, 13736, 31390, 604, 1143, 543, 3540, 2924, 269, 1358, 849, 5129, 4105, 5107, 538, 519, 20552, 626, 543, 2021, 779, 2924, 5322, 563, 763, 2165, 2372, 6033, 729, 7620, 1767, 538, 733, 3319, 585, 519, 1895, 543, 1866, 945, 6462, 519, 1895, 779, 3661, 538, 519, 6426, 8574, 968, 339, 8145, 1076, 693, 519, 6478, 540, 519, 7083, 1848, 1717, 267, 519, 1895, 17947, 519, 2012, 543, 2699, 18249, 519, 2165, 998, 3527, 2864, 982, 1913, 563, 23208, 9193, 2161, 602, 519, 2372, 5474, 6603, 476, 2004, 267, 1822, 2818, 538, 476, 14917, 271, 269, 8033, 5224, 547, 3262, 998, 6628, 267, 1082, 1004, 16363, 2372, 6033, 4978, 9097, 267, 609, 2093, 899, 2021, 543, 2367, 1373, 5289, 11224, 543, 8951, 1373, 2111, 547, 3717, 856, 1282, 10847, 269, 13966, 609, 1100, 4013, 26110, 543, 3909, 12738, 267, 789, 849, 8359, 711, 547, 946, 10297, 971, 607, 968, 7312, 700, 3581, 1222, 892, 543, 968, 7069, 15248, 3034, 18455, 513, 19995, 540, 32593, 775, 1705, 711, 1439, 609, 519, 2372, 5474, 282, 11599, 5515, 899, 8575, 32257, 19413, 543, 3220, 269, 9410, 13162, 3751, 12789, 269, 616, 4371, 538, 1164, 17192, 585, 12703, 543, 15400, 3646, 538, 12560, 13889, 543, 17933, 538, 519, 2038, 2173, 573, 476, 5002, 271, 338, 269, 1358, 5645, 519, 25136, 543, 723, 6273, 519, 15055, 540, 715, 9448, 303, 547, 581, 15156, 585, 4708, 543, 10103, 538, 741, 1565, 5054, 543, 2950, 267, 11319, 519, 23508, 4464, 563, 24309, 676, 631, 1731, 531, 17378, 31760, 454, 10955, 1243, 676, 2701, 6511, 21662, 517, 454, 2419, 8522, 595, 7034, 5240, 281, 13458, 2782, 19144, 786, 3984, 513, 4901, 609, 3115, 269, 667, 15967, 16026, 593, 7141, 5208, 676, 667, 15967, 16026, 454, 301, 9448, 303, 9391, 269, 3036, 294, 281, 19598, 542, 532, 519, 2014, 540, 12560, 267, 32593, 550, 4485, 547, 6061, 2042, 454, 8722, 25733, 12005, 3938, 17940, 540, 24910, 1684, 1961, 344, 779, 674, 5585, 337, 8525, 1107, 11300, 12780, 17821, 454, 11900, 564, 12005, 3938, 17940, 540, 3627, 8065, 30778, 674, 5585, 337, 8525, 1107, 11300, 12780, 17821, 0, 4002, 476, 276, 5147, 476, 1001, 277, 519, 11780, 31981, 6034, 633, 630, 1001, 277, 270, 280, 6246, 27582, 308, 1070, 3964, 676, 519, 3864, 5742, 267, 786, 2097, 883, 3196, 269, 634, 9167, 4759, 2829, 786, 723, 1079, 1296, 547, 1098, 2821, 519, 6034, 633, 883, 3084, 1876, 269, 634, 3804, 540, 519, 6034, 633, 568, 547, 1711, 513, 1732, 4027, 540, 4123 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12608, 6500, 899, 23820, 10381, 28077, 23601, 32395, 267, 5671, 3960, 1194, 609, 9932, 19122, 1175, 5195, 2476, 269, 3143, 2339, 1018, 8743, 956, 707, 6492, 19512, 267, 972, 781, 1945, 632, 937, 762, 7996, 585, 596, 693, 513, 16713, 3094, 2044, 563, 274, 269, 17828, 30449, 902, 454, 310, 710, 543, 1426, 941, 5921, 547, 581, 10150, 1927, 267, 543, 16713, 3094, 7685, 1174, 713, 1732, 982, 4896, 269, 3509, 24284, 2308, 9952, 1474, 17745, 4536, 945, 5402, 1225, 622, 30010, 10372, 585, 1142, 8670, 593, 519, 10624, 269, 1452, 4648, 2015, 2188, 971, 607, 2597, 267, 9403, 267, 23639, 267, 29284, 267, 543, 512, 2335, 1231, 547, 1711, 18900, 10659, 602, 21592, 1312, 519, 9174, 543, 519, 7594, 269, 5213, 1405, 581, 14281, 952, 596, 3605, 1007, 29202, 1247, 18226, 693, 513, 16713, 3094, 2044, 2336, 275, 269, 589, 23281, 540, 9255, 454, 2467, 781, 1945, 5963, 2027, 827, 11981, 513, 7594, 1247, 11303, 676, 519, 1360, 2244, 602, 3812, 922, 5820, 269, 2311, 16713, 3094, 7685, 267, 596, 666, 1745, 4448, 547, 519, 3618, 543, 2146, 1472, 596, 267, 1818, 707, 18226, 1995, 1454, 811, 6209, 269, 9578, 267, 2921, 538, 10875, 5784, 540, 12902, 15113, 4988, 538, 18812, 341, 1149, 6157, 8591, 547, 519, 5605, 4800, 2336, 276, 269, 8342, 4804, 19662, 454, 14106, 1746, 513, 16713, 3094, 2044, 3884, 1405, 1175, 827, 4189, 1390, 1426, 282, 621, 781, 849, 606, 4316, 547, 1451, 827, 6237, 6683, 267, 3857, 22450, 2853, 267, 543, 8819, 25348, 2553, 269, 3509, 3094, 7685, 2709, 19150, 267, 13820, 902, 267, 543, 3872, 2621, 2966, 4481, 585, 8049, 8186, 899, 16523, 269, 5808, 6487, 910, 6148, 596, 3513, 10625, 513, 6456, 13007, 585, 5986, 610, 9174, 7071, 2059, 519, 1259, 2439, 3383, 1985, 942, 596, 1265, 3054, 6159, 1324, 513, 12300, 11477, 7045, 267, 3314, 602, 16713, 3094, 7685, 723, 7899, 547, 2709, 269, 2060, 4195, 5820, 267, 3860, 8286, 267, 3501, 6292, 902, 267, 543, 513, 2178, 2631, 540, 1747, 267, 891, 18353, 786, 4734, 596, 4743, 13854, 543, 6273, 269, 8414, 18226, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 7056, 24385, 340, 779, 11477, 6429, 568, 811, 7524, 982, 2479, 269, 898, 779, 519, 1482, 2066, 3127, 1141, 2199, 1543, 15888, 543, 513, 3395, 18226, 856, 6429, 616, 4657, 519, 1259, 649, 3548, 543, 3561, 891, 8823, 269, 2755, 2757, 20474, 11951, 3788, 519, 1292, 560, 599, 540, 519, 1533, 779, 3309, 11477, 6429, 267, 519, 2462, 4872, 538, 835, 540, 3127, 779, 1034, 4683, 2213, 2829, 616, 1373, 8032, 676, 513, 11100, 540, 3486, 543, 6469, 11477, 3466, 269, 3245, 16441, 333, 2967, 779, 7524, 7489, 18226, 6429, 547, 8496, 29718, 779, 8076, 8265, 1426, 6429, 547, 2840, 344, 8643, 9634, 538, 667, 785, 580, 592, 267, 649, 1491, 596, 998, 930, 540, 20474, 24385, 340, 779, 1034, 7524, 1426, 4872, 563, 2080, 3657, 476, 275, 7454, 5253, 773, 20079, 2986, 20474, 24385, 340, 912, 1320, 334, 784, 30865, 600, 1107, 519, 2749, 602, 2760, 3207, 338, 269, 8496, 29718, 568, 835, 540, 519, 1158, 779, 9510, 20948, 4872, 609, 513, 7990, 995, 1686, 602, 7389, 1394, 936, 1079, 27453, 269, 898, 849, 4249, 856, 538, 519, 2749, 779, 1426, 6429, 269, 1261, 597, 5979, 558, 10346, 4341, 519, 887, 739, 267, 14060, 1141, 11792, 531, 553, 616, 1869, 1688, 268, 3033, 543, 1141, 12051, 13402, 11792, 531, 553, 616, 535, 27547, 2390, 269, 1403, 4573, 2023, 568, 707, 555, 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, 29309, 14873, 12736, 7685, 262, 26943, 2435, 26657, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 5664, 5375, 2276, 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, 4197, 3557, 11059, 1684, 551, 9068, 543, 4706, 11957, 538, 1977, 22640, 692, 1103, 3013, 267, 649, 1871, 938, 2924, 543, 22624, 16798, 896, 519, 9139, 269, 1717, 267, 3006, 1346, 2924, 666, 581, 12219, 267, 1256, 676, 938, 1378, 2229, 256, 901, 568, 1141, 519, 1523, 540, 834, 8063, 2962, 14985, 257, 2501, 883, 1404, 269, 898, 781, 513, 2629, 2856, 538, 1620, 875, 938, 3656, 1062, 1568, 543, 14014, 721, 269, 2913, 781, 2263, 713, 4241, 1888, 1927, 2439, 5331, 596, 2661, 538, 513, 4884, 1141, 1152, 1004, 945, 7390, 513, 1978, 1153, 1205, 547, 8917, 538, 2199, 12836, 269, 16319, 15490, 267, 1318, 286, 4270, 267, 621, 6157, 4422, 1996, 835, 540, 519, 1034, 4909, 3741, 540, 9111, 1107, 3160, 13359, 2924, 585, 782, 4961, 269, 1809, 1018, 952, 707, 4884, 781, 25650, 3081, 789, 723, 1169, 1318, 547, 798, 713, 1317, 789, 2813, 519, 4341, 2933, 286, 2334, 781, 950, 519, 1533, 2962, 14985, 3268, 538, 780, 763, 1533, 2962, 14985, 568, 513, 6240, 602, 2337, 3313, 2436, 1945, 2944, 676, 513, 4357, 3919, 610, 1367, 666, 581, 2808, 796, 6247, 6627, 267, 2495, 621, 3423, 919, 2576, 781, 2924, 6870, 676, 519, 9139, 269, 4340, 547, 713, 14985, 267, 1175, 1317, 606, 11769, 3884, 1405, 12799, 5018, 538, 519, 9139, 3085, 1405, 1611, 621, 666, 23304, 731, 13338, 20038, 269, 5502, 267, 972, 1590, 581, 930, 4276, 1063, 519, 2229, 543, 519, 3527, 3144, 676, 1866, 269, 1403, 971, 513, 3095, 6818, 267, 1287, 519, 1533, 2962, 14985, 10039, 267, 3850, 10470, 547, 2689, 2436, 891, 3527, 941, 13338, 780, 4131, 781, 979, 1394, 547, 938, 1383, 269, 14597, 513, 5480, 9060, 856, 602, 4352, 519, 25650, 1500, 909, 519, 13359, 3652, 267, 789, 1031, 1857, 2200, 899, 2749, 7482, 610, 3959, 547, 17997, 873, 269, 4595, 972, 781, 1631, 513, 2312, 4276, 1063, 519, 2229, 543, 519, 25641, 2259, 267, 519, 1533, 2962, 14985, 1131, 4019, 269, 1306, 513, 1267, 267, 519, 5480, 1223, 4983, 2436, 27102, 13359, 2924, 1759, 593, 1153, 20343, 568, 4847, 896, 519, 9139, 269, 2859, 1419, 982, 711, 267, 621, 9327, 1405, 1780, 519, 1449, 2094, 7862, 538, 13359, 2924, 568, 7184, 3824, 11712, 538, 1977, 9111, 780, 3086, 1577, 781, 1413, 693, 513, 1483, 2013, 5473, 519, 1533, 2962, 14985, 1572, 22630, 642, 269, 9995, 619, 269, 901, 3576, 1747, 1282, 519, 6406, 7126, 11873, 5736, 950, 7292, 17478, 1869, 11478, 538, 1082, 2694, 540, 3013, 269, 589, 27779, 13934, 11908, 781, 10315, 1770, 1062, 267, 799, 21248, 811, 2797, 1379, 547, 1447, 20651, 2127, 1765, 2865, 569, 3043, 6917, 4525, 269, 901, 8507, 538, 21376, 6041, 3379, 547, 29822, 20651, 4683, 7740, 267, 15866, 3979, 1977, 269, 1635, 7311, 519, 1533, 2962, 14985, 267, 519, 10966, 7040, 12199, 602, 519, 10315, 1770, 1062, 26991, 519, 26321, 10466, 1849, 1021, 540, 519, 9050, 18818, 14821, 269, 9182, 267, 713, 19506, 3375, 5280, 7794, 13359, 2924, 2066, 519, 2197, 780, 8139, 519, 1533, 2962, 14985, 2636, 721, 547, 5660, 519, 10347, 3666, 1063, 2123, 5191, 543, 2229, 6304, 269, 2755, 2043, 949, 2972, 3376, 23118, 1369, 741, 3232, 2729, 267, 6608, 3112, 1450, 7130, 610, 26418, 906, 2390, 11156, 958, 6870, 2924, 269, 3414, 2665, 899, 22630, 642, 269, 9995, 619, 267, 649, 1451, 3407, 4245, 827, 14619, 267, 5126, 267, 543, 8497, 9111, 269, 1924, 1832, 3695, 267, 3251, 8049, 267, 543, 3314, 602, 6616, 707, 2924, 543, 875, 789, 2811, 9580, 12023, 2306, 596, 513, 1732, 12504, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 6938, 312, 966, 269, 590, 13263, 8991, 267, 476, 4391, 273, 772, 269, 590, 269, 476, 3607, 279, 630, 3422, 274, 264, 29771, 547, 27418, 602, 13712, 476, 4391, 273, 772, 269, 590, 269, 476, 3607, 279, 454, 308, 2529, 269, 10966, 7040, 454, 294, 2001, 642, 269, 9995, 619, 267, 476, 4391, 273, 772, 2529, 269, 476, 3607, 279, 630, 3422, 274, 994, 294, 2001, 642, 269, 9995, 619, 454, 26855, 4240, 5130, 476, 1704, 267, 476, 3422, 274, 454, 13356, 3660, 4728, 476, 1240, 267, 476, 3422, 274, 454, 4391, 273, 772, 2529, 269, 476, 3607, 279, 454, 4338, 14154, 3201, 20978, 5990, 6167, 3951, 3633, 29865, 2464, 667, 8780, 30278, 307, 2910, 7838, 307, 454, 19489, 5990, 715, 3036, 8025, 30204, 667, 8780, 30278, 307, 5508, 23817, 3036, 294, 8656, 454, 7343, 16279, 324, 267, 513, 11727, 28056, 538, 3119, 543, 2489, 12836, 538, 674, 738, 517, 10315, 267, 11908, 267, 647, 539, 538, 513, 8549, 10588, 7040, 547, 1964, 1778, 813, 749, 1218, 267, 519, 14199, 540, 3557, 543, 8387, 540, 519, 3557, 14891, 15445, 9730, 267, 689, 1210, 11908, 781, 10315, 1770, 1062, 607, 513, 4493, 585, 10203, 16018, 538, 513, 14891, 3119, 9550, 585, 519, 9930, 1588, 540, 513, 2136, 2276, 27737, 543, 1533, 4204, 10492, 4534, 799, 729, 18374, 6697, 547, 9550, 269, 6270, 3119, 12836, 616, 18170, 676, 513, 11908, 29417, 267, 799, 729, 29567, 538, 476, 3422, 273, 865, 607, 547, 21138, 1770, 16018, 547, 17521, 607, 5205, 281, 17521, 609, 5095, 711, 23630, 476, 1428, 267, 1822, 267, 1079, 4559, 282, 606, 3606, 1770, 585, 519, 1985, 476, 276, 267, 1822, 7606, 282, 606, 3606, 579, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13750, 11059, 1684, 551, 9068, 257, 607, 851, 540, 834, 30311, 1315, 25799, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1480, 2960, 269, 634, 30624, 25193, 3075, 11337, 27019, 31152, 29620, 623, 269, 1035, 5886, 9067, 848, 2534, 269, 1284, 5892, 4951, 602, 519, 3075, 849, 29620, 519, 2208, 540, 623, 269, 1035, 5886, 269, 4935, 267, 11337, 27019, 31152, 949, 4196, 607, 606, 4244, 2126, 585, 18383, 5175, 3258, 529, 267, 799, 568, 1271, 1317, 519, 1297, 540, 15084, 15033, 623, 269, 1035, 5886, 12490, 814, 1044, 2810, 269, 9736, 476, 1001, 278, 634, 5081, 7724, 543, 3627, 25067, 1299, 25860, 5245, 267, 13456, 563, 21918, 267, 1411, 333, 5336, 809, 282, 13690, 267, 590, 2426, 661, 684, 282, 13690, 267, 962, 784, 1924, 334, 282, 1744, 514, 267, 8479, 3687, 282, 8614, 784, 267, 590, 2426, 769, 282, 11835, 267, 6129, 268, 21930, 282, 717, 342, 517, 267, 13535, 328, 11219, 324, 784, 282, 5244, 267, 808, 784, 5498, 758, 282, 715, 14833, 267, 8479, 16644, 836, 282, 13690, 267, 808, 784, 4211, 515, 565, 282, 13690, 267, 1530, 784, 11219, 836, 282, 1744, 514, 267, 1261, 2426, 3383, 334, 454, 303, 1886, 542, 756, 1461, 1756, 1035, 5886, 630, 303, 269, 1035, 5886, 1070, 835, 540, 519, 26103, 24059, 267, 3123, 12982, 18383, 269, 1677, 1265, 513, 3209, 6646, 585, 8156, 519, 6553, 3361, 676, 623, 269, 1035, 5886, 267, 649, 11567, 519, 4550, 1532, 17424, 543, 4550, 13611, 2238, 540, 1896, 16909, 21555, 1996, 623, 269, 1035, 5886, 269, 634, 25694, 21555, 689, 2947, 12015, 11922, 267, 623, 17850, 30705, 1258, 993, 675, 333, 572, 22859, 1440, 1421, 623, 2801, 8205, 14915, 604, 3271, 320, 623, 23775, 1421, 670, 719, 14654, 2106, 807, 10260, 1092, 774, 684, 321, 1421, 3397, 3234, 8205, 533, 3342, 320, 27439, 20623, 269, 543, 31946, 1097, 337, 9071, 21289, 579, 1537, 18424, 674, 27688, 1421, 941, 5423, 543, 6404, 269, 769, 713, 4603, 267, 476, 272, 8406, 270, 6447, 540, 519, 16909, 1349, 7848, 3361, 513, 6175, 538, 519, 2208, 540, 623, 269, 1035, 5886, 543, 4389, 519, 2504, 540, 605, 13611, 29299, 267, 570, 22143, 268, 10382, 267, 14889, 268, 279, 267, 14889, 268, 272, 15512, 543, 14889, 268, 277, 267, 538, 1480, 1395, 7514, 6776, 8946, 303, 268, 272, 2281, 5701, 609, 3002, 10275, 2683, 623, 269, 1035, 5886, 269, 4475, 267, 713, 16909, 1349, 7848, 949, 4865, 1312, 4550, 1532, 17424, 543, 4550, 13611, 2238, 1996, 623, 269, 1035, 5886, 543, 666, 581, 513, 3209, 9354, 8665, 585, 8156, 12982, 18383, 563, 298, 14535, 580, 267, 10127, 22978, 282, 5576, 928, 1188, 523, 10767, 3455, 267, 29464, 282, 12920, 1067, 267, 11835, 1120, 282, 570, 668, 6199, 267, 23745, 808, 5919, 6008, 10719, 267, 23052, 6504, 654, 563, 26807, 4551, 616, 2111, 547, 30075, 4496, 6954, 24638, 533, 6973, 10455, 1231, 543, 666, 4061, 581, 9571, 676, 6213, 1313, 1993, 1663, 2803, 12412, 7403, 538, 519, 2699, 19706, 3148, 269, 634, 533, 6973, 10455, 514, 26148, 24059, 11330, 542, 756, 1461, 1756, 1035, 5886, 267, 799, 568, 3238, 538, 519, 31630, 540, 18383, 5175, 3258, 529, 267, 729, 22297, 538, 1480, 2960, 269, 15190, 337, 958, 17251, 28264, 2592, 540, 4551, 3892, 538, 519, 3068, 941, 5833, 676, 513, 3500, 1606, 4754, 595, 7374, 8254, 5916, 609, 513, 7113, 762, 5277, 12627, 6882, 269, 634, 11295, 1313, 1993, 1663, 2803, 12412, 540, 5959, 1286, 625, 543, 5959, 15799, 538, 519, 2699, 568, 3361, 676, 5711, 4551, 267, 899, 645, 1461, 32403, 610, 2920, 514, 3912, 806, 5212, 2632, 32673, 639, 269, 2387, 290, 2456, 2592, 262, 941, 2813, 676, 942, 3766, 730, 9196, 538, 519, 562, 338, 15696, 542, 1310, 24318, 1662, 677, 8955, 29835, 269, 5384, 3766, 730, 7403, 1450, 519, 21109, 540, 19758, 322, 13593, 1769, 543, 1875, 268, 1602, 874, 10455, 514, 1313, 1993, 1663, 2803, 12412, 269, 4437, 3591, 625, 540, 5711, 2695, 13904, 1591, 26217, 17820, 2699, 1313, 1993, 1663, 2803, 12412, 538, 683, 23145, 6776, 4525, 543, 1164, 9830, 540, 519, 533, 6973, 10455, 514, 26148, 24059, 28342, 14137, 553, 7098, 580, 684, 6242, 269, 1452, 2090, 2303, 602, 519, 13796, 543, 19706, 4162, 540, 9190, 1313, 1993, 1663, 2803, 12412, 666, 581, 1031, 538, 519, 5868, 543, 2126, 540, 513, 3099, 540, 3676, 563, 4517, 619, 523, 267, 772, 966, 282, 22365, 655, 5674, 518, 267, 595, 681, 282, 1677, 1111, 267, 715, 282, 744, 3149, 523, 267, 590, 715, 282, 10496, 10849, 523, 267, 590, 282, 715, 1408, 11420, 267, 631, 918, 454, 300, 580, 7992, 16200, 2643, 639, 5175, 3258, 529, 543, 679, 1097, 23264, 2166, 987, 739, 7631, 16793, 2014, 513, 22297, 12982, 3210, 538, 9640, 269, 898, 568, 7164, 2436, 891, 16793, 29360, 513, 11528, 8650, 5123, 3210, 630, 4338, 305, 1070, 23576, 676, 2242, 538, 16796, 26887, 1355, 589, 630, 6347, 288, 1070, 688, 696, 18331, 630, 295, 335, 1070, 4401, 630, 8722, 1070, 11549, 6058, 267, 610, 11549, 6058, 270, 6921, 984, 6081, 630, 288, 27798, 264, 5223, 269, 769, 713, 1353, 267, 476, 2764, 9640, 941, 14477, 21248, 547, 4309, 2901, 7510, 7949, 601, 25188, 3433, 610, 513, 10652, 548, 1540, 21897, 19862, 538, 741, 3232, 3049, 269, 1230, 9690, 609, 2126, 267, 782, 519, 9640, 941, 13950, 476, 4335, 271, 7510, 7949, 601, 1606, 639, 1061, 1043, 2166, 987, 739, 7631, 3468, 633, 16793, 2899, 3232, 267, 476, 276, 2395, 513, 3018, 267, 585, 476, 2190, 4374, 269, 22073, 538, 519, 11359, 3018, 267, 519, 9640, 849, 4607, 476, 1839, 590, 269, 5175, 3258, 529, 16793, 2899, 12353, 585, 519, 14230, 540, 519, 1353, 269, 2311, 2834, 1979, 15553, 569, 11996, 267, 32740, 5439, 941, 6394, 585, 11050, 4212, 12523, 267, 543, 2898, 1973, 543, 16796, 5439, 941, 6394, 585, 6482, 540, 14095, 1591, 4320, 267, 2698, 3940, 267, 11549, 6058, 267, 5895, 6081, 267, 589, 27798, 5223, 267, 590, 8150, 267, 670, 335, 267, 543, 3171, 269, 2201, 2395, 476, 14065, 268, 13932, 267, 782, 519, 9640, 941, 552, 3578, 534, 520, 1242, 543, 683, 23145, 1186, 1221, 269, 27842, 941, 6394, 585, 21773, 3130, 540, 2698, 561, 636, 1400, 21431, 24675, 267, 679, 1097, 23264, 2166, 987, 739, 7631, 12586, 1998, 5095, 267, 543, 4955, 7992, 590, 269, 5175, 3258, 529, 16793, 269, 24517, 5928, 540, 670, 335, 267, 3171, 267, 543, 589, 27798, 5223, 941, 2404, 3648, 609, 2178, 1803, 24675, 269, 8307, 5701, 5256, 9640, 1185, 1713, 4679, 538, 16796, 11549, 6058, 269, 30038, 1998, 590, 269, 5175, 3258, 529, 1705, 711, 12314, 609, 3171, 267, 6466, 3171, 729, 2404, 11874, 609, 1312, 2698, 2166, 987, 739, 7631, 24675, 543, 679, 1097, 23264, 700, 275, 338, 269, 634, 589, 27798, 12753, 28209, 3648, 1063, 519, 1079, 2126, 2516, 269, 31056, 3604, 1063, 2516, 543, 1367, 942, 2798, 941, 849, 4767, 585, 670, 335, 543, 3171, 267, 6466, 590, 8150, 9830, 7283, 1970, 2429, 519, 1353, 269, 769, 2489, 267, 713, 1353, 11609, 602, 8097, 26912, 2827, 609, 590, 269, 5175, 3258, 529, 543, 2166, 987, 739, 558, 1231, 949, 581, 2404, 609, 2242, 538, 670, 335, 267, 3171, 267, 543, 16796, 5946, 267, 855, 711, 609, 590, 8150, 269, 15788, 267, 891, 2242, 2303, 602, 6404, 2178, 1803, 5563, 29360, 513, 7646, 8650, 5123, 5114, 454, 292, 24351, 543, 3106, 540, 804, 785, 18081, 11142, 19552, 476, 272, 269, 273, 260, 270, 339, 4958, 3626, 514, 476, 271, 269, 28276, 260, 19862, 585, 519, 2126, 540, 18383, 5175, 3258, 529, 281, 7535, 539, 2079, 540, 1239, 689, 1614, 4351, 2213, 267, 5595, 15918, 785, 267, 6252, 31228, 267, 5123, 8633, 2090, 563, 7804, 2946, 7224, 267, 23394, 527, 974, 282, 5975, 339, 10008, 267, 966, 4532, 523, 15605, 282, 744, 577, 338, 754, 21807, 267, 674, 1779, 282, 20233, 2023, 267, 1325, 2581, 631, 282, 28828, 345, 267, 3933, 1206, 518, 7806, 282, 667, 752, 990, 545, 267, 681, 3385, 282, 717, 3326, 333, 1157, 267, 4498, 12245, 454, 763, 12117, 543, 3106, 540, 804, 785, 18081, 11142, 19552, 476, 272, 269, 273, 260, 270, 339, 4958, 3626, 514, 476, 271, 269, 28276, 260, 630, 28058, 268, 6938, 264, 941, 11117, 538, 1614, 476, 1321, 22173, 4351, 2213, 2090, 269, 1677, 1685, 513, 7535, 539, 2079, 540, 1239, 689, 891, 2090, 547, 6218, 7885, 268, 6938, 781, 12117, 543, 3106, 538, 513, 3677, 2949, 2551, 267, 538, 1016, 25364, 540, 10708, 543, 2687, 547, 18383, 10335, 269, 476, 3393, 276, 271, 2550, 941, 4351, 2213, 547, 7885, 268, 6938, 267, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 269, 10159, 340, 725, 3769, 6871, 1689, 538, 15087, 267, 2126, 1967, 2557, 267, 17114, 540, 2550, 609, 21759, 2004, 260, 610, 21759, 3199, 260, 6024, 5786, 538, 15087, 267, 8801, 2621, 543, 2759, 10389, 7109, 1464, 269, 769, 519, 2949, 2551, 267, 519, 6871, 5786, 538, 12982, 267, 1875, 13611, 543, 2698, 15087, 543, 519, 2126, 1967, 2557, 941, 3648, 3152, 609, 7885, 268, 6938, 3379, 609, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 4805, 630, 718, 533, 283, 271, 269, 4905, 1040, 634, 6871, 5786, 538, 782, 2010, 540, 15087, 729, 849, 3648, 3152, 609, 7885, 268, 6938, 538, 519, 15730, 32299, 630, 29720, 276, 2550, 267, 533, 283, 271, 269, 16573, 264, 543, 538, 2550, 609, 7646, 270, 7116, 4733, 18383, 630, 3607, 277, 273, 2550, 267, 533, 283, 271, 269, 6349, 264, 8957, 4086, 2209, 269, 769, 2550, 609, 4049, 18383, 630, 333, 815, 476, 279, 3199, 1070, 519, 6871, 5786, 538, 782, 27295, 2010, 729, 3648, 3152, 609, 7885, 268, 6938, 8957, 6174, 630, 335, 283, 271, 269, 1822, 272, 1040, 589, 3152, 8167, 540, 7885, 268, 6938, 5701, 2550, 1185, 513, 21759, 2004, 260, 610, 21759, 3199, 260, 6024, 5786, 538, 782, 2010, 540, 15087, 693, 3018, 476, 1321, 3379, 609, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 269, 1520, 2091, 2680, 12451, 538, 519, 3742, 543, 6174, 2516, 941, 2147, 269, 5178, 5202, 14194, 3286, 539, 1611, 7109, 1464, 8464, 936, 942, 941, 2999, 272, 630, 332, 843, 264, 543, 2147, 538, 782, 2516, 269, 7885, 268, 6938, 568, 2922, 267, 814, 9120, 12117, 547, 922, 5057, 1395, 6139, 1905, 625, 543, 1058, 581, 2808, 607, 835, 540, 519, 1101, 11060, 11257, 585, 7646, 3562, 21524, 4733, 11132, 18383, 563, 292, 24351, 543, 3106, 540, 740, 777, 531, 2940, 15074, 476, 271, 269, 272, 260, 543, 476, 271, 269, 274, 260, 543, 1726, 339, 3626, 514, 15074, 476, 271, 269, 4962, 260, 585, 18383, 5175, 3258, 529, 281, 2164, 540, 513, 2582, 7266, 518, 267, 19747, 267, 5595, 15918, 14800, 267, 21897, 22306, 4791, 4693, 593, 11204, 2550, 630, 338, 7219, 1826, 8633, 268, 4353, 1916, 307, 328, 2784, 334, 4149, 17505, 31712, 267, 1656, 337, 15530, 282, 25385, 6403, 526, 7637, 267, 962, 13873, 328, 6428, 553, 282, 623, 517, 576, 14114, 331, 1853, 320, 267, 28266, 3057, 17144, 282, 12844, 604, 1794, 267, 22354, 549, 454, 763, 12117, 540, 22521, 1427, 27546, 568, 1134, 1634, 2687, 547, 1896, 4791, 2090, 5342, 15866, 1851, 24272, 22057, 2550, 269, 901, 1353, 6322, 547, 6218, 519, 12117, 543, 3106, 9043, 540, 740, 777, 531, 2940, 543, 1726, 339, 3626, 514, 1851, 11204, 2550, 269, 1677, 5635, 740, 777, 531, 2940, 476, 271, 269, 272, 543, 476, 271, 269, 274, 260, 543, 1726, 339, 3626, 514, 476, 271, 269, 4962, 260, 538, 11204, 5396, 609, 18383, 5175, 3258, 529, 269, 1284, 19801, 476, 14378, 2550, 538, 713, 2582, 7266, 518, 267, 19747, 267, 5595, 15918, 14800, 267, 21897, 22306, 4791, 4693, 269, 634, 2550, 4294, 593, 519, 3068, 2901, 740, 777, 531, 2940, 476, 271, 269, 272, 9077, 740, 777, 531, 2940, 476, 271, 269, 274, 9077, 1726, 339, 3626, 514, 476, 271, 269, 4962, 9077, 610, 21897, 585, 476, 3445, 2395, 543, 941, 11117, 585, 519, 5786, 538, 2698, 27295, 12523, 543, 585, 519, 1377, 540, 16698, 269, 570, 4958, 3626, 514, 476, 271, 269, 4962, 260, 543, 740, 777, 531, 2940, 476, 271, 269, 274, 260, 941, 811, 2500, 982, 740, 777, 531, 2940, 476, 271, 269, 272, 260, 543, 21897, 538, 519, 5786, 540, 1312, 12982, 543, 1875, 514, 11987, 15087, 269, 4107, 540, 8801, 2621, 547, 740, 777, 531, 2940, 543, 1082, 593, 1726, 339, 3626, 514, 1895, 941, 1644, 547, 2960, 16698, 267, 3819, 2960, 267, 18440, 267, 929, 584, 7978, 267, 8781, 267, 543, 2022, 514 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 557, 559, 519, 7096, 1764, 540, 5026, 538, 519, 13795, 540, 1272, 563, 1103, 519, 6946, 13795, 540, 1480, 1272, 267, 5026, 798, 711, 8806, 8915, 607, 16837, 569, 2250, 1307, 282, 2864, 267, 789, 13822, 7096, 29293, 602, 5704, 2299, 15827, 883, 1169, 25246, 540, 938, 2729, 269, 634, 4644, 540, 5026, 25186, 519, 6302, 540, 6071, 3756, 543, 24889, 607, 513, 3532, 3196, 5827, 540, 5935, 938, 2168, 23258, 267, 30740, 3621, 7760, 267, 543, 5807, 17170, 1514, 4296, 269, 11846, 267, 609, 741, 6422, 543, 15491, 2470, 267, 1796, 607, 27857, 585, 2123, 2208, 267, 6848, 22122, 267, 543, 519, 6024, 4720, 540, 938, 7104, 1480, 1995, 563, 6826, 3222, 540, 519, 15474, 1764, 540, 5026, 593, 1480, 2729, 563, 30787, 519, 6125, 267, 543, 7231, 609, 519, 6891, 563, 7883, 532, 593, 513, 5026, 32751, 542, 7959, 899, 2469, 593, 513, 3460, 540, 1582, 22523, 269, 634, 5283, 617, 1190, 11733, 540, 513, 16204, 5793, 779, 1193, 728, 267, 513, 2241, 4062, 540, 17281, 4196, 267, 610, 519, 22406, 7104, 4674, 540, 513, 11176, 1895, 1107, 1142, 6454, 568, 513, 23314, 540, 519, 17254, 4842, 1198, 602, 7328, 814, 593, 938, 10373, 1134, 5630, 269, 12815, 4887, 16150, 532, 13341, 543, 824, 8112, 267, 5026, 8062, 1439, 1110, 25527, 609, 9058, 267, 535, 597, 1067, 1259, 540, 1272, 563, 288, 2922, 2230, 585, 2790, 12972, 563, 288, 1906, 4025, 9944, 519, 17570, 543, 4187, 6013, 519, 1898, 9675, 585, 2790, 1967, 269, 634, 4015, 540, 1439, 6973, 1231, 6913, 676, 1210, 1483, 4674, 568, 2693, 547, 1831, 513, 8378, 3075, 267, 2324, 609, 8082, 267, 1232, 26305, 2604, 267, 543, 9750, 519, 14334, 540, 27945, 1145, 269, 769, 519, 2230, 540, 5026, 267, 519, 2634, 25395, 4313, 543, 519, 9997, 9060, 606, 3078, 7544, 540, 9547, 563, 290, 5971, 267, 1362, 540, 4527, 563, 1103, 23498, 11018, 4025, 267, 2043, 2490, 883, 22406, 1379, 269, 7767, 906, 616, 711, 21739, 827, 3838, 1967, 267, 538, 1022, 2013, 267, 513, 14605, 11231, 7544, 540, 4745, 4674, 267, 11913, 4123, 267, 543, 7589, 269, 1452, 11327, 2067, 7182, 3444, 519, 5858, 543, 2721, 593, 519, 1570, 540, 4357, 543, 4487, 3347, 563, 16914, 5596, 267, 21533, 267, 543, 5812, 2298, 563, 306, 7964, 8062, 2154, 811, 982, 513, 5458, 3970, 282, 789, 2154, 19858, 1353, 540, 519, 1641, 267, 8856, 267, 543, 22973, 16177, 269, 14847, 6002, 1831, 18544, 540, 3608, 942, 946, 267, 8383, 908, 16131, 543, 1367, 19647, 269, 769, 519, 28471, 323, 1258, 540, 18942, 2773, 267, 3425, 3132, 519, 10100, 547, 2263, 519, 2591, 540, 513, 1259, 540, 1272, 609, 519, 17545, 602, 18163, 7041, 543, 27265, 723, 4547, 547, 519, 1158, 563, 303, 7748, 619, 616, 2800, 539, 1369, 519, 32604, 540, 5026, 12406, 269, 20051, 9843, 543, 22072, 17691, 26483, 2263, 519, 20614, 540, 796, 23896, 762, 2490, 540, 2621, 267, 7479, 8172, 1866, 267, 543, 3695, 519, 1494, 540, 31195, 269, 2480, 1681, 786, 5555, 1831, 2834, 267, 543, 13485, 540, 2956, 786, 2490, 883, 513, 19820, 540, 6284, 602, 4992, 5393, 2484, 3564, 519, 4730, 2361, 563, 303, 23035, 936, 7874, 9753, 267, 543, 2870, 9541, 563, 288, 7328, 779, 10875, 19858, 2257, 602, 14380, 1657, 7874, 543, 1283, 7240, 2694, 269, 18738, 519, 2489, 16822, 30965, 831, 540, 519, 4161, 267, 519, 2197, 2535, 919, 538, 519, 9997, 540, 519, 1483, 3014, 543, 3838, 1379, 269, 634, 1893, 540, 5026, 8062, 568, 3044, 267, 3850, 585, 28930, 725, 602, 2039, 2066, 1514, 9753, 267, 6029, 875, 519, 2648, 540, 519, 3014, 666, 581, 513, 5458, 569, 3532, 3148, 585, 2949, 17282, 543, 30901, 563, 28308, 268, 549, 6838, 7681, 543, 9316, 563, 289, 4637, 593, 519, 2361, 540, 1404, 1332, 9048, 951, 4601, 2394, 519, 3803, 27646, 269, 16890, 1831, 2620, 268, 549, 6838, 4891, 543, 14763, 2490, 883, 15274, 269, 11545, 2833, 267, 9465, 267, 543, 15088, 538, 6043, 1831, 519, 16060, 540, 5935, 519, 5748, 585, 11972, 3347, 602, 3747, 4674, 563, 5319, 29058, 6105, 543, 31135, 1870, 563, 306, 1636, 568, 711, 3808, 547, 2367, 610, 2021, 282, 789, 666, 21592, 3003, 7874, 2621, 269, 3958, 267, 5026, 8062, 10776, 2763, 1514, 16450, 267, 4894, 2879, 4711, 267, 543, 6455, 13784, 267, 543, 3575, 9735, 1895, 902, 1369, 7874, 2144, 571, 2738, 563, 9743, 10614, 2962, 543, 1367, 1646, 563, 10870, 7774, 593, 5026, 8062, 4422, 3564, 519, 1858, 282, 621, 568, 513, 1153, 2230, 585, 4527, 269, 8479, 1004, 543, 14038, 616, 3695, 519, 4909, 7182, 540, 519, 1259, 540, 1272, 269, 634, 2591, 649, 3068, 538, 5026, 8062, 2992, 1483, 3734, 9465, 543, 1128, 650, 11972, 2418, 602, 1796, 519, 1449, 540, 942, 563, 306, 1636, 607, 513, 1514, 23090, 563, 306, 7964, 1711, 513, 2295, 2914, 8576, 11141, 960, 540, 1148, 267, 18995, 519, 2853, 267, 2418, 2073, 543, 5638, 540, 1514, 9753, 269, 3245, 3504, 5759, 547, 4207, 12644, 267, 5026, 8062, 1831, 513, 1753, 27792, 540, 519, 1514, 1268, 269, 12267, 540, 11802, 543, 14710, 267, 14512, 16873, 267, 543, 519, 22406, 19711, 540, 11655, 1106, 513, 1514, 9371, 602, 24889, 609, 1169, 2085, 543, 25186, 942, 543, 1747, 563, 306, 1636, 607, 606, 20949, 547, 1416, 563, 28874, 538, 5026, 8062, 568, 24009, 607, 513, 28471, 323, 1258, 585, 1367, 7269, 543, 1582, 22523, 269, 2552, 652, 1218, 3068, 7965, 267, 535, 328, 2444, 657, 267, 543, 17993, 267, 2502, 17545, 543, 741, 3206, 269, 634, 3460, 689, 519, 7750, 547, 519, 6896, 851, 7140, 883, 513, 26841, 540, 513, 811, 7415, 1272, 27356, 8124, 602, 2893, 584, 919, 519, 5870, 540, 4287, 543, 1931, 569, 1967, 602, 14380, 1657, 519, 7687, 540, 519, 5309, 614, 269, 769, 519, 2361, 540, 5026, 2773, 267, 2043, 786, 538, 1100, 942, 3605, 741, 2565, 7182, 267, 855, 693, 519, 1482, 942, 7866, 519, 3178, 540, 741, 812, 610, 4807, 563, 31319, 1670, 9866, 11970, 538, 22505, 563, 2026, 519, 2361, 12066, 956, 609, 1455, 4690, 267, 7328, 19674, 607, 513, 5123, 7175, 3339, 1620, 269, 17217, 762, 2853, 538, 5026, 8062, 267, 3039, 4610, 543, 11479, 3001, 519, 6093, 2219, 998, 5026, 8062, 1404, 513, 5458, 2990, 269, 14847, 6002, 607, 10388, 3197, 28761, 4434, 519, 8912, 4128, 543, 946, 741, 3490, 547, 5818, 5458, 2338, 267, 2864, 982, 513, 811, 6654, 1483, 543, 10357, 23655, 1259, 540, 1272, 269, 11846, 8062, 3976, 8451, 607, 513, 1641, 540, 1404, 543, 2864, 607, 513, 5123, 540, 9513, 2834, 5539, 543, 1390, 538, 4948, 1870, 563, 18719, 22777, 543, 11144, 538, 5026, 563, 763, 4999, 540, 5026, 5751, 543, 7760, 6770, 827, 519, 3356, 540, 9058, 1007, 7835, 269, 3245, 3665, 3056, 11460, 10850, 543, 6272, 547, 2594, 1606, 23293, 3014, 19145, 2409, 267, 519, 1974, 789, 723, 18534, 9464, 519, 5026, 2361, 269, 634, 7193, 29931, 730, 4641, 267, 5957, 1963, 267, 543, 9447, 1239, 2417, 1711, 18006, 12331, 267, 10178, 12477, 267, 543, 2489, 21951, 20106, 269, 901, 4999, 540, 7328, 543, 6454, 267, 799, 568, 711, 4010, 519, 1034, 5578, 995, 267, 1651, 2572, 519, 5858, 4464, 267, 855, 538, 1840, 267, 7208, 1571, 3294, 607, 513, 605, 17474, 540, 8103, 779, 3586, 1184, 585, 2956, 543, 1646, 563, 1103, 519, 8966, 23090, 540, 2081, 540, 1272, 267, 519, 5026, 1449, 19082, 899, 513, 1114, 1650, 269, 634, 1650, 19597, 919, 1367, 7269, 267, 1455, 19642, 267, 543, 519, 5140, 4123, 1063, 23658, 11857, 543, 6454, 269, 2060, 1142, 4062, 267, 5026, 8062, 4894, 519, 1350, 7112, 269, 3367, 811, 2507, 0, 10527, 32559, 2667, 817, 514, 892, 568, 513, 3209, 2854, 676, 20152, 2311, 6229, 267, 835, 540, 4516, 779, 1034, 9976, 4589, 269, 898, 729, 3370, 538, 476, 1220, 271, 543, 4607, 2565, 1035, 8010, 267, 10888, 519, 20380, 3883, 518, 15356, 602, 1482, 1032, 563, 13729, 538, 519, 4571, 268, 736, 628, 2540, 267, 968, 763, 32559, 2667, 817, 514, 892, 6645, 519, 23091, 2984, 540, 1079, 19946, 267, 594, 5142, 932, 848, 26186, 523, 543, 23718, 932, 848, 269, 594, 5142, 267, 606, 11361, 4807, 267, 9356, 593, 1200, 2250, 543, 8761, 519, 11580, 543, 1950, 3347, 1369, 1200, 1920, 269, 634, 3209, 16621, 2789, 2239, 6106, 267, 1519, 594, 5142, 779, 17728, 267, 32461, 689, 23718, 779, 2022, 21065, 3585, 3370, 3209, 267, 543, 11356, 804, 2089, 902, 563, 763, 1650, 7710, 4798, 540, 2648, 267, 2530, 267, 20729, 531, 267, 543, 519, 1379, 6384, 1063, 2367, 543, 2021, 269, 898, 849, 12538, 883, 1514, 543, 2797, 2152, 540, 519, 942, 267, 971, 607, 519, 4279, 12870, 267, 2622, 2782, 4083, 267, 543, 519, 15594, 3350, 269, 2311, 6229, 779, 5578, 995, 9423, 649, 2314, 1927, 891, 1114, 2609, 267, 2870, 513, 3818, 2000, 599, 1229, 543, 2219, 4538, 2239, 563, 763, 3209, 779, 2140, 267, 968, 763, 32559, 2667, 817, 514, 2223, 4016, 547, 519, 1650, 1369, 519, 1650, 269, 23718, 932, 848, 267, 594, 5142, 779, 11078, 267, 568, 1767, 547, 723, 2854, 513, 3209, 1572, 968, 763, 32559, 2667, 817, 514, 892, 1354, 1200, 2669, 269, 901, 3209, 1369, 519, 3209, 6645, 513, 2257, 5708, 1650, 1305, 538, 513, 29711, 1014, 2104, 267, 10023, 513, 2648, 26035, 1063, 606, 5580, 11665, 4807, 543, 513, 2324, 11665, 812, 269, 1452, 6810, 540, 519, 1433, 1683, 513, 4334, 547, 519, 1292, 2239, 543, 2709, 16555, 593, 519, 4798, 8268, 538, 594, 5142, 779, 1650, 563, 10527, 32559, 2667, 817, 514, 892, 568, 1634, 585, 922, 3638, 18340, 267, 6946, 4729, 2497, 267, 543, 8903, 3197, 269, 2311, 6229, 779, 3408, 540, 3965, 267, 5168, 267, 543, 519, 10848, 540, 1480, 3347, 814, 1500, 519, 3209, 513, 5172, 1851, 3988, 543, 13915, 7567, 269, 0, 22137, 593, 3979, 4914, 4507, 267, 543, 519, 1184, 3238, 609, 741, 5250, 267, 723, 4607, 1454, 1447, 3007, 3379, 547, 824, 3344, 540, 3979, 2090, 269, 4107, 723, 1044, 538, 3829, 2013, 2090, 20515, 875, 4914, 3609, 3664, 616, 10704, 593, 1455, 4145, 585, 519, 3148, 267, 971, 607, 28160, 1436, 267, 4182, 2679, 267, 2804, 543, 2797, 13190, 267, 543, 12019, 2782, 6735, 269, 1306, 971, 267, 1034, 23372, 568, 5342, 609, 2673, 12543, 267, 5449, 7810, 7060, 267, 610, 519, 2706, 7060, 269, 13518, 568, 849, 5342, 1369, 954, 32744, 3906, 630, 5456, 11675, 1040, 29568, 609, 1617, 10561, 5238, 9789, 2622, 7813, 543, 22558, 293, 1765, 10193, 4183, 30326, 269, 4107, 9382, 5815, 602, 4914, 3609, 814, 1044, 538, 519, 3946, 540, 513, 7022, 267, 945, 814, 5342, 621, 5097, 607, 513, 1797, 540, 19597, 908, 610, 4509, 6469, 4341, 269, 3979, 4914, 4507, 849, 4043, 547, 2992, 519, 4641, 602, 1034, 616, 1507, 543, 4617, 2829, 269, 589, 18843, 540, 12170, 13354, 4914, 3609, 3332, 593, 4000, 1281, 2291, 267, 6313, 1919, 971, 607, 6167, 13359, 610, 1377, 540, 20320, 2534, 269, 7053, 267, 1454, 3332, 593, 3979, 4914, 4507, 568, 11251, 538, 3979, 3486, 1894, 543, 6212, 593, 519, 5079, 540, 3401, 1369, 3677, 8978, 267, 1570, 267, 20748, 267, 543, 3486, 8658, 269, 4107, 5640, 267, 855, 711, 782, 267, 1965, 3832, 342, 606, 2079, 1210, 513, 2582, 17565, 281, 3235, 937, 545, 267, 3140, 4485, 3100, 547, 581, 811, 1455, 982, 2901, 3444, 5991, 1049, 12170, 2090, 610, 9132, 25634, 1227, 29814, 4485, 269, 2060, 713, 538, 2247, 267, 3979, 4914, 4507, 1590, 4431, 547, 267, 543, 11457, 609, 267, 4657, 3486, 543, 6237, 8658, 267, 2523, 1022, 609, 1713, 10593, 538, 23786, 1379, 563, 28893, 14579, 24727, 454, 11990, 6276, 2372, 4883, 454, 288, 3778, 540, 4139, 9442, 5525, 454, 14976, 9626, 595, 269, 17713, 517, 454, 763, 7214, 791, 28127, 585, 3486, 2792, 1382, 814, 2097, 689, 513, 3099, 540, 10459, 267, 16113, 2797, 2257, 267, 15257, 267, 6530, 267, 1514, 6530, 267, 23316, 267, 19795, 267, 543, 267, 540, 1576, 267, 2792, 2257, 543, 3486, 1894, 269, 4014, 3810, 3309, 538, 1543, 267, 3486, 2792, 14172, 267, 2250, 543, 1699, 267, 8813, 883, 3982, 1382, 5389, 610, 2127, 540, 14374, 269, 634, 1543, 543, 1445, 540, 891, 723, 4957, 936, 942, 538, 3210, 547, 10124, 538, 2792, 4066, 543, 547, 519, 2797, 1604, 269, 634, 1646, 543, 3262, 540, 5925, 543, 4670, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 2799, 1857, 4656, 543, 14046, 1719, 538, 519, 7613, 540, 519, 2527, 2923 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3662, 10304, 267, 621, 568, 6444, 607, 513, 4704, 13539, 676, 519, 2622, 11780, 9257, 543, 538, 476, 1001, 279, 1185, 513, 2698, 540, 476, 9264, 4759, 2829, 269, 4706, 21777, 4759, 1533, 568, 12142, 12359, 807, 282, 519, 744, 23966, 15387, 8628, 1894, 609, 476, 3393, 824, 3486, 543, 6237, 14540, 543, 814, 13636, 543, 1016, 15696, 1308, 5510, 1182, 593, 1169, 11782, 269, 634, 744, 23966, 1281, 711, 4096, 593, 519, 6167, 1062, 269, 4595, 922, 1101, 4937, 29140, 4371, 538, 8303, 267, 519, 8433, 11438, 856, 922, 960, 896, 519, 6392, 540, 513, 9730, 9967, 540, 30896, 540, 519, 24931, 22749, 282, 519, 991, 547, 4339, 3662, 3676, 693, 513, 2518, 1377, 3366, 547, 519, 5137, 540, 519, 8433, 4139, 964, 9210, 714, 2393, 625, 998, 519, 3486, 15716, 9896, 593, 5130, 476, 1839, 267, 476, 4572, 275, 563, 1103, 2904, 476, 1220, 274, 519, 8433, 2968, 519, 2622, 25944, 585, 10960, 2657, 855, 6854, 922, 3140, 27099, 744, 23966, 269, 769, 5412, 476, 1001, 277, 267, 476, 25396, 30896, 547, 519, 476, 275, 628, 6820, 10985, 593, 10960, 28054, 9516, 513, 2039, 540, 3800, 6322, 547, 2087, 3662, 10304, 269, 1323, 744, 23966, 4640, 3561, 799, 6565, 4364, 689, 713, 10554, 729, 547, 581, 4843, 585, 10073, 693, 519, 744, 23966, 2622, 13909, 538, 2904, 476, 1001, 278, 269, 769, 5130, 476, 1001, 278, 267, 519, 856, 4707, 15525, 7245, 11280, 519, 744, 23966, 607, 606, 3919, 13886, 547, 2640, 540, 519, 4139, 20871, 16332, 885, 2920, 282, 519, 744, 23966, 781, 22071, 616, 4092, 538, 519, 476, 1704, 628, 2855, 1180, 23579, 618, 269, 898, 729, 538, 476, 4350, 280, 602, 519, 744, 23966, 6410, 547, 519, 18211, 7095, 8664, 540, 623, 2117, 3933, 576, 879, 267, 1310, 2348, 13026, 22402, 2094, 476, 4572, 278, 2282, 519, 932, 10102, 632, 9370, 543, 519, 661, 858, 601, 18975, 267, 3177, 676, 519, 3943, 14451, 5398, 2657, 7027, 269, 769, 2904, 476, 4350, 279, 267, 519, 744, 23966, 16840, 5795, 3220, 2506, 28609, 2274, 743, 664, 3832, 543, 1101, 4937, 10615, 540, 519, 744, 23966, 267, 2407, 7060, 547, 4444, 513, 4884, 5264, 538, 8303, 267, 1210, 519, 15395, 2508, 269, 3220, 700, 1815, 548, 514, 3832, 8359, 519, 544, 6416, 689, 2185, 3601, 5697, 676, 513, 8189, 16030, 519, 5518, 540, 519, 744, 23966, 267, 670, 563, 290, 269, 700, 269, 661, 269, 19161, 518, 267, 519, 21470, 6261, 637, 1211, 267, 30408, 645, 529, 21468, 267, 519, 2272, 656, 267, 20944, 12340, 321, 4469, 6686, 1188, 9528, 269, 2201, 476, 2420, 5988, 476, 4350, 280, 267, 519, 744, 23966, 267, 6719, 676, 661, 269, 2274, 743, 664, 3832, 11751, 519, 544, 6416, 689, 519, 3057, 638, 1047, 632, 22757, 321, 10314, 267, 693, 513, 1942, 540, 476, 10384, 267, 1822, 21473, 14369, 282, 519, 476, 1724, 628, 4937, 29140, 540, 519, 744, 23966, 729, 4371, 689, 2904, 476, 1789, 547, 4873, 476, 276, 267, 476, 4350, 280, 693, 476, 1321, 678, 826, 632, 25460, 344, 1310, 31811, 960, 1185, 1044, 6192, 269, 9603, 547, 519, 5822, 2622, 2782, 267, 519, 1739, 4937, 29140, 1705, 711, 1491, 1747, 2394, 476, 3707, 277, 267, 689, 476, 273, 547, 476, 276, 5239, 269, 11374, 741, 7127, 883, 8303, 538, 4873, 476, 3707, 271, 267, 519, 4436, 30939, 4229, 17303, 6806, 543, 20177, 519, 744, 23966, 22071, 282, 519, 3646, 540, 519, 5518, 267, 20944, 12340, 321, 4469, 6686, 1188, 9528, 267, 11221, 538, 476, 4350, 280, 267, 8507, 538, 922, 556, 19945, 2287, 269, 476, 1321, 678, 826, 632, 25460, 344, 729, 3710, 538, 476, 6942, 280, 267, 538, 519, 32286, 7304, 10718, 2511, 267, 676, 519, 9976, 4056, 14639, 6441, 537, 529, 623, 26696, 585, 519, 22341, 31578, 267, 13744, 553, 918, 7238, 333, 580, 1873, 831, 267, 513, 5449, 4871, 518, 543, 16749, 8227, 269, 589, 19588, 540, 2101, 1568, 547, 22058, 622, 543, 2413, 1047, 519, 22071, 941, 17298, 676, 519, 6034, 832, 4937, 11221, 1310, 661, 563, 8867, 743, 664, 3832, 281, 22050, 517, 10548, 517, 267, 11412, 2946, 23554, 1729, 345, 267, 8402, 2349, 1690, 534, 267, 14639, 2349, 4545, 537, 543, 24527, 966, 718, 520, 269, 9603, 547, 519, 2212, 14075, 1646, 540, 519, 13539, 267, 3606, 22402, 723, 1044, 10519, 539, 693, 476, 1691, 678, 826, 632, 25460, 344, 2094, 476, 1220, 275, 269, 2201, 476, 1626, 4728, 476, 1220, 280, 267, 519, 744, 23966, 12349, 513, 1804, 851, 540, 519, 2679, 693, 476, 1691, 678, 826, 632, 25460, 344, 267, 7755, 334, 1456, 922, 22071, 269, 5384, 569, 23425, 540, 1344, 568, 2629, 547, 5627, 17061, 282, 519, 26146, 295, 2839, 28497, 2488, 1569, 547, 782, 1239, 4371, 1369, 744, 23966, 781, 1007, 2622, 10960, 2657, 6176, 3590, 269, 898, 30283, 543, 11498, 519, 5449, 1357, 8818, 3957, 7435, 626, 9850, 4083, 3590, 269, 589, 3102, 2039, 540, 1344, 568, 2139, 689, 281, 8056, 18957, 711, 5874, 543, 1246, 5346, 5359, 11643, 676, 16588, 18831, 538, 3210, 547, 11108, 2068, 2621, 9648, 538, 891, 2477, 607, 1134, 607, 1246, 5346, 5359, 827, 891, 2621, 267, 14520, 18881, 569, 5359, 10503, 519, 744, 23966, 2000, 13554, 2068, 3871, 538, 1142, 2197, 267, 16316, 5359, 3246, 2417, 4282, 1344, 593, 3662, 1072, 267, 593, 8047, 543, 6669, 2504, 6703, 563, 288, 638, 1738, 10960, 2657, 8943, 6833, 14111, 10960, 2657, 8943, 744, 23966, 4013, 3896, 744, 23966, 17030, 15048, 2622, 10960, 2657, 6176, 3590, 28497, 454, 2419, 534, 932, 528, 3687, 26280, 568, 513, 14418, 20757, 10689, 4092, 538, 7195, 652, 1512, 267, 14135, 269, 898, 568, 9674, 883, 835, 693, 476, 273, 808, 23750, 918, 655, 16120, 543, 1776, 693, 476, 274, 5178, 572, 514, 10003, 269, 29740, 676, 519, 22616, 2158, 324, 24960, 626, 26960, 932, 528, 3687, 538, 476, 4572, 277, 543, 476, 4350, 277, 519, 10689, 18799, 27540, 4457, 4600, 609, 1100, 1920, 610, 1797, 540, 1489, 538, 14135, 269, 3245, 1373, 513, 1747, 540, 25778, 3101, 547, 1631, 1373, 513, 1747, 540, 10847, 267, 26960, 932, 528, 3687, 26280, 568, 1713, 607, 513, 6041, 540, 519, 20757, 10689, 2528, 607, 1134, 607, 519, 27540, 8129, 540, 14135, 269, 26960, 932, 528, 3687, 26280, 729, 513, 20757, 10689, 1634, 607, 513, 1990, 3873, 527, 836, 269, 17164, 4115, 31508, 2259, 513, 14418, 4984, 267, 1634, 607, 519, 4279, 10158, 282, 713, 4984, 729, 513, 12563, 2482, 2006, 4984, 267, 2808, 547, 581, 10636, 13454, 543, 729, 26793, 676, 3624, 269, 4935, 267, 519, 16809, 3262, 547, 2477, 538, 3162, 5101, 5607, 547, 2057, 20655, 269, 769, 891, 31508, 267, 26902, 26802, 1131, 1152, 8532, 513, 20757, 2732, 607, 513, 1106, 540, 22729, 543, 2259, 14418, 12738, 269, 1717, 267, 891, 26902, 26802, 941, 711, 26112, 543, 941, 2864, 2482, 5443, 267, 609, 835, 1292, 4487, 540, 519, 2777, 9117, 607, 519, 3119, 1416, 339, 6033, 563, 306, 532, 12940, 5185, 606, 27614, 540, 11082, 538, 519, 2038, 476, 736, 628, 2540, 1310, 2622, 2782, 476, 272, 269, 1452, 11082, 941, 519, 1292, 2551, 540, 14135, 781, 13781, 543, 15538, 540, 711, 1175, 2367, 855, 2021, 282, 891, 2021, 2451, 741, 5321, 538, 1931, 547, 1265, 960, 269, 1133, 325, 9116, 1229, 676, 519, 911, 25940, 540, 2757, 7365, 267, 789, 941, 1863, 547, 2744, 741, 7115, 998, 4466, 960, 543, 4742, 1582, 1606, 20980, 267, 789, 1034, 3576, 6667, 689, 519, 476, 866, 628, 10601, 7115, 3350, 538, 519, 13102, 540, 2871, 836, 345, 17924, 267, 1141, 519, 30652, 329, 773, 543, 521, 4461, 14241, 2021, 538, 14135, 12090, 689, 269, 4935, 519, 5354, 540, 873, 941, 547, 3717, 519, 22616, 2158, 324, 13172, 269, 1325, 821, 267, 789, 5030, 538, 891, 20757, 31508, 607, 513, 2146, 282, 519, 20757, 31508, 6035, 513, 1747, 547, 3251, 585, 891, 20404, 609, 1100, 5321, 610, 3347, 609, 10252, 267, 3177, 602, 789, 1131, 6460, 267, 2259, 519, 20757, 2732, 543, 519, 14418, 12738, 269, 1358, 1185, 547, 2611, 2582, 543, 17712, 664, 689, 3023, 267, 621, 729, 711, 1863, 540, 5279, 267, 607, 789, 1869, 1185, 547, 798, 26050, 547, 3251, 269, 1452, 4025, 3964, 513, 2146, 10838, 891, 11082, 267, 22112, 676, 741, 522, 23411, 547, 1416, 540, 1142, 824, 563, 1607, 729, 1271, 2094, 1034, 1131, 2760, 2132, 547, 741, 554, 32528, 1586, 1813, 547, 2883, 3790, 269, 1306, 851, 540, 513, 2146, 267, 789, 941, 21407, 602, 998, 2025, 2085, 543, 538, 2669, 789, 941, 711, 4805, 543, 602, 519, 2556, 24133, 32537, 1131, 581, 5340, 585, 873, 269, 2311, 519, 1482, 942, 267, 7195, 652, 1512, 729, 7444, 9687, 547, 581, 513, 3413, 23308, 10821, 8378, 282, 713, 14376, 1082, 14547, 24960, 1235, 547, 16245, 3909, 5238, 269, 901, 8507, 538, 519, 5137, 540, 1082, 4457, 3909, 5238, 899, 519, 774, 784, 1855, 1188, 590, 1014, 26280, 700, 1014, 16429, 590, 807, 14418, 6874, 7776, 626, 11454, 543, 519, 3171, 328, 670, 338, 807, 17578, 532, 2701, 14418, 11454, 538, 7195, 652, 1512, 269, 769, 476, 4572, 277, 267, 26960, 932, 528, 3687, 26280, 729, 8547, 676, 9457, 26960, 932, 528, 3687, 282, 519, 1101, 11454, 729, 513, 835, 3613, 800, 1768, 15869, 2777, 3710, 693, 476, 273, 808, 23750, 918, 655, 16120, 24428, 27540, 2367, 269, 589, 8717, 538, 476, 4350, 277, 267, 519, 2034, 11454, 729, 3710, 607, 513, 1079, 3613, 648, 344, 1768, 15869, 2777, 693, 476, 274, 5178, 572, 514, 10003, 282, 713, 11454, 24428, 519, 27540, 2021, 3079, 269, 769, 519, 476, 3707, 271, 338, 1175, 1354, 2622, 2782, 4083, 267, 519, 2025, 4487, 26960, 5293, 2476, 267, 519, 1699, 4487, 3576, 936, 1010, 11645, 563, 7628, 519, 476, 3422, 271, 338, 1700, 3192, 271, 338, 267, 519, 2063, 7264, 538, 1312, 31508, 723, 782, 5293, 2476, 543, 26960, 932, 528, 3687, 26280, 30403, 1373, 513, 1747, 585, 25778, 3101, 269, 4653, 267, 1312, 31508, 616, 9738, 676, 513, 3972, 607, 3909, 31508, 267, 1152, 10741, 922, 9885, 547, 8436, 1282, 4457, 1715, 5729, 282, 519, 808, 23750, 918, 655, 16120, 3135, 568, 1152, 1930, 593, 519, 476, 274, 6113, 1554, 540, 519, 4457, 1715, 5729, 267, 1247, 519, 5178, 572, 514, 681, 323, 3135, 568, 1930, 585, 519, 1101, 476, 274, 2395, 269, 634, 8436, 616, 519, 11361, 945, 723, 1044, 4947, 585, 5756, 267, 607, 1134, 607, 741, 3885, 269, 3509, 540, 519, 4079, 972, 616, 11173, 519, 2245, 267, 789, 941, 4547, 547, 519, 11454, 676, 741, 3237, 267, 616, 1631, 8744, 1453, 540, 741, 1378, 972, 607, 1134, 269, 1306, 26960, 932, 528, 3687, 26280, 568, 513, 22616, 2158, 324, 11700, 1511, 267, 1034, 540, 519, 8436, 598, 2091, 538, 22616, 2158, 324, 607, 1134, 269, 2311, 808, 23750, 918, 17507, 534, 267, 8436, 1131, 1101, 4283, 519, 7623, 543, 1118, 741, 1259, 2250, 519, 4677, 543, 883, 519, 2427, 540, 519, 2777, 267, 789, 2709, 741, 19001, 547, 2871, 1415, 514, 519, 31001, 540, 8585, 1097, 267, 998, 17008, 543, 795, 1601, 16853, 585, 741, 16858, 971, 607, 5763, 543, 1434, 2090, 538, 519, 4947, 1032, 563, 5475, 267, 789, 8399, 547, 519, 1394, 1141, 789, 2628, 741, 24947, 547, 519, 21549, 2250, 4487, 540, 519, 2777, 269, 11374, 267, 8436, 31770, 896, 519, 5356, 3349, 538, 513, 2245, 2189, 547, 519, 11454, 269, 8061, 1774, 525, 3494, 538, 602, 17875, 1782, 896, 519, 3349, 1131, 3142, 873, 1434, 19539, 538, 519, 4947, 1032, 267, 5000, 8436, 547, 10956, 713, 1614, 2053, 585, 3063, 9939, 269, 2991, 799, 267, 789, 8399, 1394, 547, 519, 1292, 26749, 1141, 789, 7281, 543, 4235, 13411, 1216, 538, 4395, 540, 519, 1699, 4487, 540, 519, 2777, 269, 6250, 6002, 616, 5701, 547, 20757, 1426, 11273, 676, 519, 11454, 13538, 269, 6250, 6002, 786, 581, 27206, 1472, 513, 3349, 609, 824, 21046, 543, 581, 6039, 24204, 2701, 978, 267, 20757, 13520, 554, 3019, 543, 30653, 269, 2311, 5178, 572, 514, 10003, 267, 1034, 8436, 12446, 593, 519, 1101, 1554, 267, 519, 1297, 546, 13388, 956, 676, 519, 3791, 1554, 538, 799, 621, 3587, 9602, 269, 3807, 899, 693, 808, 23750, 918, 17507, 534, 267, 835, 17188, 741, 2463, 547, 519, 2025, 18544, 540, 519, 2777, 269, 26960, 932, 528, 3687, 26280, 568, 7307, 676, 513, 3972, 267, 799, 1131, 6430, 519, 2104, 540, 1312, 5656, 267, 621, 568, 13883, 538, 513, 6305, 4087, 540, 7195, 652, 1512, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 901, 8142, 568, 5497, 547, 581, 24482, 968, 31673, 1639, 892, 538, 1931, 547, 1118, 621, 513, 6325, 4704, 585, 1346, 945, 1131, 899, 547, 1174, 713, 10035, 543, 519, 8799, 17787, 602, 616, 11540, 607, 3435, 540, 930, 13410, 269, 1924, 267, 594, 1131, 899, 602, 824, 3755, 1131, 1118, 635, 757, 543, 24616, 267, 6031, 1018, 568, 21354, 2854, 610, 6045, 267, 1818, 10931, 5465, 267, 538, 1931, 547, 2490, 713, 2022, 513, 1434, 2022, 269, 1280, 513, 1434, 7778, 540, 519, 2474, 1031, 538, 16550, 5832, 16166, 267, 5225, 5077, 713, 2022, 780, 8512, 476, 272, 269, 11822, 715, 823, 10753, 3591, 543, 6828, 539, 715, 823, 10753, 3591, 692, 763, 10035, 1031, 538, 8799, 17787, 568, 711, 1360, 2182, 547, 1174, 269, 1280, 513, 1434, 8142, 827, 8799, 17787, 267, 875, 789, 666, 581, 4857, 543, 1031, 267, 5225, 5077, 713, 3095, 269, 2913, 779, 2253, 609, 513, 2241, 1383, 269, 6333, 10658, 14794, 476, 272, 1384, 24927, 281, 8564, 782, 454, 319, 1109, 1109, 6872, 280, 1109, 476, 1109, 276, 4281, 280, 1109, 476, 1321, 1109, 476, 1109, 347, 476, 274, 1109, 30336, 1109, 275, 1109, 30336, 1109, 1321, 1109, 1923, 476, 6812, 280, 1109, 476, 1109, 6795, 1109, 5231, 476, 277, 1109, 7545, 476, 1109, 3393, 280, 1109, 476, 1109, 277, 1109, 30336, 1109, 27149, 1109, 1923, 476, 278, 1109, 30336, 1109, 279, 1109, 30336, 1109, 3066, 1109, 1923, 476, 272, 1109, 30336, 1109, 24833, 280, 1109, 476, 24833, 280, 1109, 476, 1109, 4097, 280, 1109, 476, 1109, 8660, 1109, 5231, 476, 16328, 280, 1923, 476, 866, 1109, 5231, 476, 277, 1109, 30336, 1109, 276, 1109, 476, 1109, 347, 476, 4366, 280, 1109, 476, 1109, 278, 1109, 30336, 1109, 273, 1109, 7545, 476, 2411, 734, 266, 2411, 268, 266, 2411, 19203, 476, 1109, 8064, 1109, 5231, 476, 275, 1109, 30336, 1109, 279, 1109, 5231, 1923, 476, 276, 1109, 30336, 1109, 273, 1109, 30336, 1109, 8064, 1109, 1923, 476, 274, 1109, 30336, 1109, 277, 1109, 30336, 1109, 272, 1109, 7545, 476, 1109, 277, 1109, 30336, 1109, 272, 1109, 30336, 1109, 276, 1109, 5231, 1923, 476, 8660, 1109, 5231, 476, 274, 1109, 30336, 1109, 4366, 280, 1923, 476, 278, 1109, 30336, 1109, 273, 1109, 30336, 1109, 5392, 1109, 30336, 1109, 273, 1109, 30336, 1109, 274, 1109, 30336, 1109, 8064, 1109, 476, 1109, 347, 476, 277, 1109, 30336, 1109, 272, 1109, 30336, 1109, 5325, 280, 1923, 476, 3393, 280, 1109, 476, 1109, 279, 1109, 30336, 1109, 3393, 280, 1109, 5231, 476, 2411, 734, 266, 2411, 268, 266, 2411, 19203, 476, 1109, 272, 1109, 30336, 1109, 273, 1109, 30336, 1109, 4375, 1109, 476, 1109, 347, 476, 275, 1109, 30336, 1109, 278, 1109, 30336, 1109, 4343, 1109, 1923, 476, 277, 1109, 30336, 1109, 3374, 280, 1109, 476, 1109, 3374, 279, 280, 1109, 476, 1109, 24833, 278, 1109, 476, 6872, 1109, 5231, 476, 277, 1109, 5231, 1923, 476, 12553, 1109, 476, 1109, 280, 1109, 30336, 1109, 15946, 1923, 476, 2190, 1109, 5231, 476, 16328, 1109, 476, 1109, 31003, 279, 1109, 476, 1109, 279, 1109, 30336, 1109, 8064, 1109, 5231, 476, 31003, 280, 1923, 476, 1321, 1109, 5231, 476, 276, 1109, 30336, 1109, 277, 1109, 476, 1109, 347, 476, 27149, 1109, 476, 1109, 16328, 280, 1109, 476, 31003, 280, 1109, 29894, 7545, 10658, 14794, 476, 272, 267, 25373, 476, 272, 2387, 692, 16449, 824, 2009, 8799, 17787, 267, 649, 1223, 2328, 519, 1739, 835, 1384, 296, 269, 1496, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 24557, 273, 17342, 337, 279, 322, 275, 316, 268, 273, 268, 314, 337, 279, 322, 278, 316, 268, 275, 268, 314, 337, 280, 322, 279, 3910, 18092, 678, 280, 322, 279, 283, 285, 275, 780, 263, 312, 3641, 7436, 519, 17515, 11134, 2020, 3086, 267, 1577, 779, 2119, 547, 1174, 519, 1623, 321, 1108, 1031, 1934, 1384, 2108, 314, 337, 279, 322, 278, 316, 27535, 519, 1591, 4092, 693, 519, 10167, 540, 4737, 476, 279, 543, 6241, 476, 278, 630, 4900, 616, 22921, 476, 272, 268, 280, 689, 1283, 547, 5377, 540, 519, 7470, 267, 543, 519, 9587, 616, 22921, 476, 272, 268, 280, 689, 2451, 547, 1318, 6393, 2108, 27784, 27535, 713, 3090, 1797, 968, 574, 18680, 892, 610, 968, 5228, 799, 649, 666, 9959, 602, 2507, 892, 780, 2108, 337, 280, 322, 279, 283, 285, 275, 27535, 713, 1797, 602, 678, 280, 322, 279, 3112, 581, 968, 275, 892, 780, 2108, 314, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 316, 27535, 713, 568, 513, 3095, 540, 2178, 23221, 609, 6003, 968, 272, 6100, 6270, 513, 3095, 609, 6003, 968, 343, 892, 2306, 513, 4276, 1063, 1079, 2281, 602, 267, 538, 741, 1770, 630, 992, 267, 6241, 267, 610, 4216, 1070, 616, 519, 1152, 1079, 2009, 2281, 1141, 11134, 968, 343, 892, 666, 581, 4092, 269, 769, 519, 1383, 2016, 267, 538, 4737, 476, 280, 519, 1152, 1079, 2009, 4025, 585, 968, 272, 892, 616, 678, 280, 322, 279, 543, 678, 280, 322, 275, 267, 543, 865, 649, 666, 4020, 513, 2178, 3095, 1063, 873, 267, 1496, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 3910, 609, 519, 1739, 2495, 281, 952, 968, 272, 892, 568, 711, 538, 678, 280, 322, 279, 1287, 621, 1590, 581, 538, 678, 280, 322, 275, 267, 543, 13030, 268, 951, 320, 780, 2108, 314, 337, 279, 322, 278, 316, 268, 275, 268, 314, 337, 280, 322, 279, 316, 27535, 713, 568, 513, 3095, 540, 4617, 23221, 609, 6003, 968, 275, 6100, 6270, 513, 3095, 609, 6003, 968, 343, 892, 13462, 1079, 2281, 602, 267, 538, 741, 1770, 267, 616, 711, 8209, 519, 1152, 1079, 2009, 4025, 585, 11134, 968, 343, 5608, 602, 568, 267, 621, 666, 1921, 1079, 2281, 602, 616, 519, 1152, 1079, 2009, 4025, 585, 834, 343, 257, 538, 519, 1770, 855, 267, 811, 4749, 267, 621, 13462, 2281, 602, 616, 711, 31669, 2281, 269, 634, 2495, 540, 519, 3095, 538, 713, 1880, 1383, 568, 281, 952, 678, 279, 322, 278, 568, 968, 275, 892, 1287, 678, 280, 322, 279, 568, 711, 968, 275, 6100, 769, 2489, 267, 609, 2241, 8799, 17787, 971, 607, 713, 835, 4617, 6402, 616, 9112, 547, 270, 5228, 536, 2526, 826, 2281, 630, 3250, 338, 602, 723, 1152, 1079, 2009, 10457, 1070, 855, 538, 4359, 8799, 17787, 713, 1281, 711, 991, 547, 581, 519, 2013, 780, 9827, 538, 10658, 14794, 476, 272, 649, 666, 2328, 519, 1739, 8520, 1384, 2862, 269, 1496, 337, 279, 322, 278, 24557, 273, 17342, 337, 280, 322, 278, 316, 268, 273, 268, 314, 337, 280, 322, 275, 316, 268, 272, 268, 314, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 316, 268, 275, 268, 314, 337, 279, 322, 278, 3910, 18092, 678, 279, 322, 278, 283, 285, 275, 780, 263, 763, 6960, 851, 568, 519, 9338, 306, 2020, 2108, 314, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 316, 27535, 713, 1826, 540, 3095, 814, 519, 1739, 2495, 1107, 952, 968, 272, 892, 568, 711, 538, 678, 274, 322, 275, 1287, 968, 275, 892, 1590, 581, 538, 678, 274, 322, 278, 267, 543, 952, 968, 275, 892, 568, 711, 538, 678, 274, 322, 278, 1287, 968, 272, 892, 1590, 581, 538, 678, 274, 322, 275, 269, 901, 3095, 6818, 21246, 3315, 538, 1079, 5686, 540, 3270, 269, 634, 1101, 835, 568, 606, 20290, 700, 18088, 5590, 630, 28940, 281, 513, 1305, 540, 562, 2281, 20651, 676, 562, 266, 272, 10457, 264, 538, 799, 1079, 540, 1010, 10457, 616, 538, 1152, 835, 1591, 630, 26421, 264, 540, 519, 9338, 306, 269, 769, 519, 1459, 1383, 267, 649, 723, 606, 3592, 19526, 1305, 538, 2281, 678, 274, 322, 273, 29265, 274, 322, 275, 29265, 274, 322, 278, 799, 616, 20651, 676, 10457, 968, 272, 267, 275, 267, 279, 267, 280, 27535, 1631, 267, 952, 519, 5467, 5654, 5402, 267, 519, 968, 272, 892, 568, 4092, 630, 600, 784, 519, 2281, 540, 519, 9338, 306, 264, 1152, 538, 678, 274, 322, 275, 267, 543, 519, 968, 275, 892, 568, 4092, 1152, 538, 678, 274, 322, 278, 267, 543, 865, 952, 968, 272, 892, 568, 711, 538, 678, 274, 322, 275, 1287, 968, 275, 892, 1590, 581, 538, 678, 274, 322, 278, 630, 528, 649, 1131, 723, 1152, 1079, 10457, 547, 1402, 3634, 519, 1614, 2281, 678, 274, 322, 273, 29265, 274, 322, 275, 29265, 274, 322, 278, 264, 543, 13030, 268, 951, 320, 1107, 713, 7954, 568, 6719, 676, 1496, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 4940, 634, 2034, 4806, 568, 606, 20290, 23433, 25351, 4120, 630, 288, 7838, 281, 3277, 1934, 585, 519, 4214, 267, 606, 7778, 540, 519, 1826, 540, 3095, 267, 543, 930, 4143, 1806, 1040, 6333, 519, 1739, 11015, 1384, 24927, 281, 8564, 782, 454, 319, 1109, 1109, 16348, 1109, 5231, 476, 14444, 1109, 5231, 476, 275, 1109, 30336, 1109, 347, 476, 279, 1109, 7545, 476, 274, 1109, 7545, 476, 278, 1109, 476, 1109, 347, 476, 280, 1109, 7545, 476, 1321, 1109, 30336, 1109, 10219, 1109, 30336, 1109, 278, 1109, 7545, 476, 13670, 1109, 5231, 476, 11277, 276, 1109, 1923, 476, 13970, 1109, 5231, 476, 280, 1109, 7545, 476, 25090, 1923, 476, 13670, 1109, 5231, 476, 277, 1109, 7545, 476, 279, 1109, 7545, 476, 1109, 279, 1109, 7545, 476, 13670, 280, 1109, 476, 1109, 11277, 6795, 1923, 476, 1428, 1109, 30336, 1109, 277, 1109, 7545, 476, 1839, 1109, 1923, 476, 278, 1109, 7545, 476, 11277, 275, 1109, 476, 1109, 14862, 276, 1109, 5231, 476, 2411, 955, 268, 266, 2411, 19203, 266, 2411, 955, 476, 1109, 280, 1109, 7545, 476, 5325, 1109, 30336, 1109, 20720, 1109, 476, 1109, 347, 476, 277, 1109, 7545, 476, 16825, 1109, 5231, 476, 3393, 279, 1923, 476, 15946, 1109, 5231, 476, 11277, 4281, 1109, 476, 14096, 1109, 30336, 1109, 272, 1109, 7545, 476, 279, 1109, 7545, 476, 277, 1109, 30336, 1109, 347, 476, 273, 1109, 7545, 476, 278, 1109, 7545, 476, 274, 1109, 476, 1109, 347, 476, 275, 1109, 7545, 476, 276, 1109, 7545, 476, 280, 1109, 7545, 476, 1109, 20720, 1109, 5231, 476, 5325, 1109, 30336, 1109, 20720, 1109, 476, 1109, 347, 476, 3393, 1109, 30336, 1109, 16825, 1109, 5231, 476, 280, 1109, 476, 1109, 347, 476, 15946, 1109, 5231, 476, 11277, 4281, 1109, 476, 277, 1109, 7545, 476, 2411, 955, 268, 266, 2411, 19203, 266, 2411, 955, 476, 1109, 3374, 1109, 30336, 1109, 13670, 280, 1109, 476, 1109, 279, 1109, 30336, 1109, 347, 476, 8064, 1109, 30336, 1109, 273, 1109, 7545, 476, 5379, 1109, 1923, 476, 14444, 1109, 5231, 476, 15704, 280, 1109, 476, 1109, 13970, 278, 1109, 30336, 1109, 275, 1109, 7545, 476, 273, 1109, 7545, 476, 866, 1109, 5231, 1923, 476, 8064, 1109, 30336, 1109, 276, 1109, 7545, 476, 6924, 1109, 1923, 476, 12739, 1109, 5231, 476, 9965, 280, 1109, 476, 1109, 274, 1109, 7545, 476, 1109, 6321, 1109, 30336, 1109, 6321, 280, 1109, 5231, 476, 278, 1109, 30336, 1109, 347, 476, 274, 1109, 7545, 476, 4366, 1109, 30336, 1109, 272, 1109, 476, 1109, 347, 476, 273, 1109, 7545, 476, 4366, 280, 1109, 5231, 476, 3393, 1109, 29894, 29894, 10658, 14794, 476, 273, 2387, 692, 2080, 649, 723, 606, 589, 7838, 538, 2281, 678, 5379, 322, 276, 630, 10472, 27772, 1623, 321, 1108, 1797, 602, 649, 616, 6236, 2281, 678, 275, 322, 276, 543, 678, 277, 322, 276, 264, 543, 678, 5379, 322, 278, 1384, 7656, 269, 1496, 337, 273, 322, 278, 24557, 276, 17342, 337, 278, 322, 278, 24557, 277, 17342, 337, 279, 322, 278, 316, 268, 277, 268, 314, 337, 279, 322, 277, 316, 268, 279, 268, 314, 337, 280, 322, 276, 316, 268, 275, 268, 1496, 337, 275, 322, 276, 347, 337, 277, 322, 276, 24557, 275, 347, 274, 17342, 337, 275, 322, 278, 347, 337, 277, 322, 278, 316, 268, 274, 268, 314, 337, 273, 322, 278, 3910, 18092, 678, 273, 322, 278, 283, 285, 274, 780, 263, 763, 6960, 851, 7436, 519, 2189, 13551, 2020, 1103, 713, 2013, 267, 519, 3095, 1797, 602, 267, 952, 968, 275, 892, 568, 711, 538, 2901, 540, 519, 2281, 678, 5379, 322, 276, 1287, 267, 538, 1931, 547, 8190, 22464, 540, 519, 3070, 267, 835, 540, 519, 2281, 678, 5379, 322, 278, 1590, 581, 968, 274, 892, 780, 2108, 314, 337, 275, 322, 276, 347, 337, 277 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8382, 2433, 5149, 7029, 568, 513, 5650, 538, 799, 2433, 1109, 18893, 2711, 4999, 540, 4559, 538, 513, 1062, 568, 6074, 693, 1022, 2016, 942, 692, 20373, 2433, 634, 1770, 5858, 540, 519, 27526, 638, 626, 4729, 21810, 883, 9322, 610, 476, 271, 28108, 1899, 540, 519, 17931, 4729, 540, 519, 645, 1712, 6516, 585, 692, 8310, 8382, 2433, 634, 1770, 5858, 540, 519, 27526, 638, 626, 4729, 21810, 883, 9322, 610, 476, 271, 28108, 1899, 540, 519, 17931, 4729, 540, 519, 645, 1712, 6516, 585, 782, 12451, 692, 20373, 2433, 634, 1770, 540, 1379, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 1379, 538, 590, 15660, 269, 4559, 568, 1109, 342, 3430, 780, 20373, 2433, 634, 1770, 540, 960, 610, 1648, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 960, 610, 1648, 538, 590, 15660, 269, 4559, 568, 1109, 329, 537, 548, 780, 20373, 2433, 634, 1770, 540, 3196, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 3196, 538, 590, 15660, 269, 4559, 568, 1109, 6124, 2023, 780, 20373, 2433, 1548, 568, 519, 1770, 540, 2268, 585, 6453, 2496, 8310, 8382, 2433, 30579, 6027, 538, 24311, 780, 20373, 2433, 1215, 1454, 568, 476, 272, 1770, 540, 5201, 2496, 8310, 8382, 2433, 476, 272, 1770, 540, 5201, 568, 3160, 547, 476, 272, 737, 2662, 780, 20373, 2433, 6904, 540, 519, 1739, 568, 10691, 606, 16038, 1770, 540, 2268, 286, 530, 264, 26910, 1535, 264, 1007, 2023, 586, 264, 795, 537, 548, 1990, 264, 23908, 552, 264, 2034, 692, 8310, 8382, 2433, 4888, 14684, 2207, 281, 2098, 4534, 18317, 294, 692, 20373, 2433, 1548, 616, 519, 16038, 6508, 4559, 2496, 8310, 8382, 2433, 15379, 31887, 267, 5122, 4187, 267, 5122, 32366, 766, 267, 3196, 267, 1648, 267, 1379, 267, 6419, 13441, 267, 3167, 5279, 267, 543, 3167, 1761, 3017, 543, 15444, 293, 269, 1452, 616, 519, 8370, 16038, 6508, 4559, 780, 20373, 2433, 1548, 568, 519, 1546, 289, 5766, 12340, 15423, 540, 513, 476, 272, 267, 1220, 11304, 1351, 557, 12076, 10707, 693, 513, 2557, 540, 476, 1839, 7397, 829, 2034, 286, 23851, 781, 3586, 568, 3160, 547, 476, 277, 269, 7830, 1535, 476, 1015, 268, 4097, 808, 537, 548, 5498, 6948, 269, 530, 264, 476, 276, 269, 274, 1535, 476, 1015, 268, 3953, 7397, 1535, 264, 476, 276, 269, 280, 1535, 476, 1015, 268, 4097, 7397, 586, 264, 476, 273, 269, 272, 1535, 476, 1015, 268, 4343, 7397, 1990, 264, 476, 272, 269, 277, 1535, 476, 1015, 268, 2412, 7397, 692, 8310, 8382, 2433, 4888, 14684, 2207, 281, 962, 4534, 476, 273, 269, 272, 1535, 476, 1015, 268, 4343, 631, 4953, 8991, 692, 20373, 2433, 5149, 540, 5295, 568, 3071, 27702, 269, 589, 269, 654, 3430, 645, 269, 808, 537, 548, 595, 269, 2549, 335, 699, 667, 269, 595, 9567, 4861, 692, 8310, 8382, 2433, 5149, 540, 5295, 568, 654, 3430, 269, 0, 258, 26332, 1588, 1505, 2689, 630, 17882, 338, 540, 5276, 13651, 1109, 3225, 725, 2020, 290, 16430, 4569, 281, 670, 6347, 269, 3918, 296, 5861, 269, 277, 454, 763, 17594, 1505, 568, 513, 4480, 585, 6061, 1949, 540, 5276, 4834, 269, 901, 2376, 8039, 519, 4480, 609, 1806, 543, 1256, 3947, 596, 513, 4960, 547, 2119, 519, 1505, 3054, 780, 1012, 1548, 568, 519, 17594, 1505, 2496, 763, 17594, 1505, 568, 513, 4480, 585, 6061, 1949, 540, 5276, 4834, 269, 2913, 781, 3802, 998, 513, 7008, 540, 1806, 780, 2162, 7151, 476, 272, 692, 2171, 2811, 4280, 547, 4194, 713, 1062, 540, 4834, 912, 17961, 25410, 348, 476, 273, 344, 266, 278, 343, 17851, 910, 276, 11138, 11138, 476, 276, 344, 268, 278, 343, 17851, 476, 1321, 1422, 754, 25410, 8679, 2171, 5469, 602, 519, 1101, 3830, 814, 513, 1269, 278, 343, 259, 2165, 543, 519, 2034, 3830, 814, 513, 1269, 268, 278, 343, 259, 2165, 269, 1452, 2474, 786, 22599, 952, 649, 1039, 519, 4834, 1927, 5889, 11366, 892, 7474, 568, 267, 649, 3513, 9004, 519, 1269, 343, 259, 2474, 912, 306, 6295, 585, 1269, 344, 8961, 649, 1205, 912, 17961, 25410, 348, 476, 278, 344, 266, 271, 17851, 278, 11138, 11138, 476, 278, 344, 17851, 278, 11138, 11138, 586, 1299, 7807, 326, 1245, 291, 346, 272, 348, 1422, 754, 25410, 8679, 303, 1663, 21794, 713, 1871, 1394, 883, 938, 1101, 3830, 267, 649, 4194, 585, 519, 824, 4756, 912, 17961, 25410, 348, 476, 273, 344, 266, 278, 343, 17851, 910, 276, 11138, 11138, 476, 273, 24206, 1422, 326, 1245, 291, 346, 272, 15396, 278, 343, 17851, 910, 276, 11138, 11138, 476, 273, 266, 278, 343, 261, 15871, 276, 11138, 11138, 476, 278, 343, 261, 15871, 278, 11138, 11138, 1535, 261, 7807, 19990, 291, 24877, 272, 348, 1422, 754, 25410, 8679, 763, 3070, 547, 519, 1062, 568, 1269, 343, 7807, 19990, 291, 24877, 272, 20954, 1269, 344, 7807, 326, 1245, 291, 346, 272, 4151, 563, 2171, 666, 2638, 938, 3070, 676, 726, 19982, 891, 2418, 1394, 883, 519, 519, 3312, 4834, 269, 2913, 781, 2119, 519, 2034, 3830, 912, 17961, 25410, 348, 476, 276, 344, 268, 278, 343, 17851, 476, 1321, 11138, 11138, 476, 276, 24206, 315, 326, 1245, 291, 346, 272, 18511, 278, 7268, 19990, 291, 24877, 272, 16585, 1299, 315, 23637, 7758, 7790, 284, 476, 1321, 11138, 11138, 476, 276, 266, 278, 17851, 476, 1321, 1422, 754, 25410, 8679, 8133, 267, 519, 3070, 11974, 856, 563, 2252, 596, 1745, 7334, 1946, 713, 1184, 1568, 267, 2638, 856, 713, 25644, 3381, 585, 606, 538, 3829, 3802, 10843, 780, 2162, 7151, 476, 273, 692, 2171, 2811, 4280, 547, 4194, 713, 1062, 540, 4834, 912, 17961, 25410, 348, 910, 280, 344, 266, 275, 343, 910, 476, 736, 261, 284, 271, 11138, 11138, 910, 278, 344, 266, 1626, 343, 268, 3199, 261, 284, 271, 1422, 754, 25410, 8679, 2171, 666, 9062, 519, 1101, 3830, 676, 1269, 268, 275, 259, 547, 1205, 606, 6697, 3830, 602, 814, 513, 4399, 20580, 921, 291, 24877, 1626, 343, 4151, 2165, 269, 3776, 1007, 630, 8117, 6697, 14386, 1062, 540, 4834, 5654, 899, 713, 912, 17961, 25410, 348, 476, 3607, 344, 315, 20580, 921, 291, 24877, 1626, 343, 15396, 3199, 261, 284, 271, 11138, 11138, 910, 278, 344, 266, 1626, 343, 268, 3199, 261, 284, 271, 1422, 754, 25410, 8679, 29002, 519, 4834, 547, 9004, 519, 1269, 343, 259, 2474, 267, 649, 1205, 912, 306, 6295, 585, 1269, 344, 8961, 649, 1205, 912, 17961, 25410, 348, 476, 3066, 344, 266, 271, 910, 271, 261, 284, 271, 8607, 11138, 476, 3066, 344, 261, 284, 271, 8607, 11138, 586, 261, 7807, 326, 1245, 291, 476, 271, 1422, 754, 25410, 8679, 303, 1663, 21794, 713, 1871, 1394, 883, 938, 1101, 3830, 267, 649, 4194, 585, 519, 824, 4756, 912, 17961, 25410, 348, 476, 3607, 344, 268, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 476, 3607, 24206, 476, 271, 268, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 910, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 910, 1626, 343, 261, 15871, 3199, 11138, 11138, 1535, 261, 7807, 19990, 291, 346, 276, 348, 1422, 754, 25410, 8679, 763, 3070, 547, 519, 1062, 568, 1269, 343, 7807, 19990, 291, 346, 276, 20954, 1269, 344, 7807, 326, 1245, 291, 346, 271, 4151, 563, 23763, 547, 1294, 1776, 1383, 540, 6061, 513, 7294, 1966, 609, 519, 17594, 1505, 286, 6744, 856, 713, 3381, 780, 1012, 6657, 692, 19370, 476, 272, 454, 24169, 519, 1739, 1062, 540, 4834, 563, 17961, 25410, 348, 476, 274, 343, 266, 279, 344, 17851, 476, 1428, 11138, 11138, 476, 273, 343, 268, 279, 344, 17851, 476, 1015, 1422, 754, 25410, 8679, 259, 343, 284, 14204, 259, 344, 284, 14204, 23763, 811, 2259, 286, 6744, 856, 891, 5751, 281, 0, 1432, 568, 519, 3017, 1063, 4890, 20581, 543, 1761, 20581, 2496, 1892, 476, 275, 269, 275, 330, 454, 296, 6415, 11821, 676, 519, 11984, 4890, 5288, 1761, 20581, 2496, 5804, 28957, 594, 1205, 1384, 22025, 1113, 20581, 568, 513, 2760, 10678, 1184, 910, 4946, 476, 272, 547, 20422, 2338, 269, 3962, 1840, 11729, 513, 13113, 7274, 855, 519, 1184, 2760, 7475, 780, 8002, 783, 20581, 267, 952, 594, 3893, 621, 1318, 267, 5161, 540, 6236, 519, 1305, 540, 2067, 2338, 607, 606, 11769, 538, 3294, 269, 769, 824, 1913, 476, 272, 267, 476, 273, 267, 476, 274, 267, 907, 568, 513, 1761, 20581, 855, 2715, 272, 267, 273, 267, 476, 274, 28011, 348, 568, 606, 4890, 20581, 780, 1103, 12572, 2474, 621, 4667, 519, 3017, 1063, 873, 568, 1175, 519, 4527, 270, 11274, 775, 540, 519, 1225, 569, 25329, 267, 7684, 543, 2715, 780, 4692, 2576, 2491, 713, 547, 803, 286, 8729, 563, 1892, 476, 274, 330, 454, 16100, 338, 899, 519, 3017, 1063, 15107, 517, 1143, 543, 20472, 13659, 269, 1403, 596, 1589, 6310, 3615, 616, 1483, 543, 723, 6228, 3564, 3425, 12719, 610, 18445, 873, 267, 1287, 20581, 568, 4890, 269, 1403, 596, 1810, 1405, 267, 1287, 621, 781, 1152, 1761, 267, 1317, 649, 3513, 2760, 1039, 782, 519, 1259, 909, 547, 20581, 563, 1892, 476, 275, 4391, 454, 13528, 958, 6340, 267, 4890, 20581, 8806, 4016, 547, 519, 24936, 558, 6361, 19899, 6541, 269, 1809, 713, 3884, 1405, 513, 1434, 2626, 267, 1317, 713, 1281, 711, 2272, 585, 519, 11786, 24500, 585, 10962, 519, 24936, 558, 780, 763, 5817, 14196, 568, 519, 1267, 540, 1114, 12496, 540, 519, 13016, 1129, 834, 29389, 1031, 547, 20301, 13148, 19310, 1243, 5036, 267, 543, 875, 891, 1114, 12496, 1291, 547, 1114, 8753, 7282, 519, 1360, 2495, 540, 513, 1305, 267, 1519, 1018, 4990, 540, 5036, 616, 8098, 24777, 538, 6128, 780, 302, 6113, 27274, 267, 538, 6898, 971, 607, 2715, 271, 267, 272, 267, 273, 267, 274, 28011, 9574, 519, 1129, 834, 29389, 568, 1031, 547, 1533, 602, 519, 834, 3553, 257, 4016, 547, 513, 4341, 630, 553, 538, 713, 2013, 267, 519, 4341, 540, 4946, 835, 543, 4358, 689, 4642, 1070, 607, 10353, 547, 606, 2965, 6192, 543, 2291, 550, 1560, 540, 9988, 269, 901, 568, 24190, 609, 1761, 20581, 267, 602, 22587, 547, 835, 781, 13796, 11521, 1431, 3823, 513, 1184, 4171, 1533, 568, 1213, 7757, 936, 942, 780, 1103, 824, 2665, 971, 607, 834, 3240, 10918, 1592, 568, 2715, 2419, 1157, 523, 267, 342, 710, 267, 528, 1052, 10433, 28011, 348, 14307, 519, 15956, 1522, 20301, 2901, 692, 328, 264, 606, 28008, 585, 513, 1880, 267, 1710, 7019, 2277, 762, 1592, 602, 568, 2907, 2291, 550, 267, 855, 1152, 13148, 4330, 593, 1957, 692, 528, 692, 4512, 264, 1323, 16315, 602, 513, 1592, 568, 7493, 543, 1152, 13148, 9138, 267, 602, 519, 5467, 568, 14376, 547, 4890, 1125, 585, 5128, 3842, 2655, 23082, 1010, 1378, 3688, 267, 610, 4341, 540, 10137, 780, 528, 692, 13839, 264, 513, 25386, 1129, 267, 13288, 547, 834, 716, 783, 20581, 257, 538, 513, 2631, 602, 568, 10686, 1227, 2495, 1652, 267, 9308, 24631, 543, 25401, 513, 6071, 4062, 540, 16105, 267, 855, 799, 18562, 814, 5626, 1871, 538, 4929, 575, 1342, 344, 9825, 15282, 6438, 17915, 538, 3020, 1532, 601, 773, 951, 950, 789, 14719, 622, 519, 4652, 987, 558, 762, 780, 19013, 267, 1317, 834, 29389, 568, 13016, 10035, 609, 693, 2547, 1614, 4625, 3982, 10512, 3096, 538, 1840, 547, 2348, 4357, 5626, 3096, 267, 1004, 3136, 547, 1476, 17218, 782, 540, 891, 3096, 540, 519, 15956, 267, 4929, 7839, 581, 32612, 518, 618, 267, 10952, 25127, 543, 5837, 11784, 909, 547, 519, 1459, 1554, 563, 1892, 476, 279, 3066, 454, 8002, 783, 20581, 267, 952, 594, 3893, 621, 1318, 267, 5161, 540, 6236, 519, 1305, 540, 2067, 2338, 607, 606, 11769, 538, 3294, 269, 769, 824, 1913, 476, 272, 267, 476, 273, 267, 476, 274, 267, 907, 568, 513, 1761, 20581, 855, 2715, 272, 267, 273, 267, 476, 274, 28011, 348, 568, 606, 4890, 20581, 269, 769, 12572, 2474, 621, 4667, 519, 3017, 1063, 873, 568, 1175, 519, 4527, 270, 11274, 775, 540, 519, 1225, 569, 25329, 267, 7684, 543, 2715, 780, 20007, 1227, 267, 594, 1589, 602, 621, 1058, 581, 1948, 346, 272, 267, 273, 267, 476, 274, 28011, 348, 610, 3556, 20719, 272, 267, 273, 267, 476, 274, 28011, 16585, 610, 1923, 346, 272, 267, 273, 267, 476, 274, 28011, 348, 347, 585, 4890, 20581, 630, 15258, 514, 1275, 6698, 6393, 272, 267, 273, 267, 476, 274, 28011, 568, 1175, 513, 5311, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5030, 693, 827, 519, 8191, 281, 630, 689, 519, 602, 256, 13979, 547, 9511, 4843, 676, 4515, 269, 14639, 12603, 644, 517, 333, 2946, 593, 3057, 519, 9511, 540, 2807, 667, 9254, 576, 12166, 5013, 689, 2596, 3741, 7640, 539, 1454, 547, 519, 3347, 1063, 13080, 267, 11783, 769, 5619, 532, 609, 3652, 547, 2268, 543, 2491, 1018, 789, 4718, 11313, 521, 8069, 1185, 547, 581, 547, 13718, 306, 5652, 9008, 717, 6504, 24143, 15258, 267, 681, 21289, 8316, 4486, 324, 7982, 32143, 9210, 28964, 267, 1215, 1677, 11711, 10871, 12525, 525, 769, 14529, 267, 1733, 32111, 17547, 704, 7345, 537, 4425, 690, 773, 267, 772, 324, 328, 5441, 1290, 680, 11989, 267, 21708, 3234, 23620, 3525, 267, 589, 807, 15928, 28787, 5623, 267, 667, 1186, 6519, 7615, 1520, 3939, 476, 1708, 271, 268, 2641, 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 ]
[ 16850, 269, 4263, 3980, 376, 1015, 30538, 267, 519, 2701, 9346, 23374, 6385, 9070, 730, 7178, 936, 476, 6110, 14790, 689, 519, 3844, 13323, 540, 1520, 523, 547, 519, 1744, 4157, 571, 620, 2701, 1731, 19944, 8462, 269, 7909, 545, 10825, 4553, 538, 519, 5045, 7266, 1537, 4414, 7256, 693, 3980, 376, 276, 30538, 269, 901, 5330, 539, 538, 942, 547, 606, 1271, 14955, 845, 640, 2429, 519, 4414, 7256, 16935, 543, 2059, 519, 19114, 540, 519, 13323, 540, 1520, 523, 267, 8107, 1998, 609, 519, 11619, 15687, 14955, 845, 640, 540, 519, 11335, 16935, 269, 589, 2101, 5123, 540, 7485, 268, 777, 691, 16935, 1646, 849, 7018, 2059, 519, 589, 336, 19487, 1700, 8867, 2779, 2981, 269, 769, 519, 2038, 1773, 328, 18152, 519, 27614, 540, 7286, 7297, 998, 9040, 620, 13495, 20623, 2799, 543, 4414, 7256, 11159, 566, 27502, 8120, 547, 15866, 1930, 7286, 2175, 269, 1635, 3980, 376, 274, 1700, 273, 30538, 267, 30173, 10825, 6410, 7178, 540, 519, 1744, 4157, 571, 620, 2701, 1731, 19944, 8462, 267, 543, 519, 3003, 13323, 540, 1520, 523, 729, 606, 30173, 678, 3424, 6185, 1005, 519, 2063, 3980, 376, 272, 7069, 267, 519, 7013, 4414, 7256, 6676, 10465, 5532, 547, 519, 1520, 523, 10825, 4099, 998, 519, 13323, 540, 2098, 3121, 267, 8355, 752, 559, 12870, 267, 543, 13323, 540, 570, 29951, 2227, 269, 3465, 1836, 267, 519, 4414, 7256, 10825, 4099, 5526, 547, 581, 9070, 908, 4724, 519, 7187, 4414, 7256, 547, 3095, 609, 519, 589, 336, 19487, 1700, 8867, 2779, 2981, 269, 1325, 330, 8932, 1666, 5306, 545, 8979, 1143, 5170, 1369, 519, 8479, 518, 14250, 1846, 540, 7262, 18142, 17936, 543, 29874, 543, 21369, 7013, 4414, 7256, 10195, 269, 4107, 540, 519, 26768, 6676, 568, 1631, 7680, 715, 1700, 306, 5580, 12933, 531, 13496, 267, 6466, 519, 5021, 8880, 2566, 568, 20218, 661, 1700, 310, 538, 17252, 4000, 269, 17936, 543, 4000, 267, 1631, 593, 5094, 10824, 267, 616, 4061, 4625, 1232, 537, 9482, 538, 2474, 540, 6237, 267, 2484, 1922, 1752, 17613, 563, 302, 269, 9697, 2317, 534, 340, 1923, 670, 269, 654, 641, 325, 1676, 1923, 623, 14371, 269, 661, 686, 802, 5459, 1923, 645, 269, 595, 1515, 333, 29589, 1923, 645, 2529, 269, 11676, 3805, 1923, 681, 8160, 13034, 269, 8055, 1923, 623, 12282, 269, 12390, 1723, 343, 454, 20082, 281, 634, 10127, 5622, 30520, 540, 5045, 7266, 1537, 4000, 7960, 1282, 519, 1101, 19195, 4783, 540, 2706, 29657, 10198, 543, 2736, 1575, 540, 623, 1052, 320, 267, 896, 519, 3310, 540, 1079, 3982, 29684, 20816, 21433, 689, 519, 7013, 543, 7187, 19114, 540, 717, 1180, 32272, 269, 634, 7013, 29684, 12512, 729, 1644, 547, 3157, 540, 1016, 9134, 543, 522, 4088, 8412, 2059, 519, 7754, 11209, 28045, 630, 25659, 2801, 334, 6261, 6680, 264, 14345, 540, 717, 1180, 32272, 267, 799, 8507, 538, 519, 5250, 540, 513, 27164, 2117, 2062, 1633, 1062, 1634, 607, 519, 968, 10852, 10127, 5622, 892, 19438, 267, 609, 519, 3119, 7449, 2064, 6127, 6719, 676, 4827, 1116, 543, 6422, 15205, 269, 901, 16935, 28933, 519, 4704, 14404, 19973, 540, 519, 17623, 12539, 26448, 1700, 29557, 30083, 26226, 10127, 5622, 942, 267, 799, 2882, 519, 667, 14567, 6390, 267, 661, 17433, 267, 2142, 879, 3228, 543, 23566, 6199, 12776, 739, 7806, 15572, 545, 4559, 269, 3345, 540, 519, 1292, 10127, 5622, 19438, 267, 519, 29684, 20816, 941, 13856, 676, 970, 20378, 610, 17464, 560, 20378, 17613, 602, 9070, 730, 5045, 2072, 883, 519, 2706, 29657, 689, 519, 28836, 570, 996, 12505, 14345, 540, 717, 1180, 32272, 269, 8111, 574, 12723, 593, 519, 29684, 1852, 593, 16935, 1646, 267, 20296, 15088, 849, 2451, 513, 1665, 593, 519, 14404, 15572, 545, 2594, 267, 3246, 513, 1455, 8142, 602, 6402, 519, 24348, 6445, 540, 519, 10127, 5622, 30520, 4646, 896, 1114, 29684, 20816, 269, 1306, 513, 2489, 7678, 267, 519, 2916, 4957, 689, 4411, 543, 10859, 268, 541, 573, 1282, 519, 17623, 12539, 26448, 1700, 792, 31586, 18983, 1014, 8884, 267, 547, 15911, 543, 5555, 3905, 609, 11385, 908, 13247, 1282, 519, 1964, 540, 10127, 5622, 942, 6185, 826, 547, 519, 10593, 538, 29684, 543, 20296, 2175, 689, 519, 7013, 547, 519, 7187, 19114, 540, 4000, 1282, 519, 10127, 5622, 8884, 267, 519, 12776, 739, 7806, 15572, 545, 1915, 540, 519, 10127, 5622, 8111, 16766, 849, 2242, 3648, 2066, 519, 3979, 11782, 269, 1280, 713, 2601, 267, 519, 10127, 5622, 30520, 2283, 340, 588, 878, 1729, 267, 799, 1397, 2312, 10486, 609, 519, 1292, 10127, 5622, 19438, 540, 3162, 4000, 267, 616, 3622, 11658, 547, 5045, 7266, 1537, 4000, 267, 6466, 519, 10127, 5622, 21943, 1967, 687, 12873, 547, 519, 5087, 540, 519, 20337, 616, 3982, 569, 1114, 269, 901, 1957, 6212, 593, 519, 10127, 5622, 30520, 2283, 340, 588, 878, 1729, 540, 5045, 7266, 1537, 4000, 267, 13754, 1944, 741, 11159, 1670, 543, 14404, 15572, 545, 2934, 538, 6935, 547, 519, 29684, 543, 20296, 8060, 593, 22098, 543, 11159, 566, 563, 307, 5861, 269, 5096, 625, 1923, 670, 10611, 269, 631, 1495, 15401, 334, 454, 20082, 281, 634, 12933, 540, 3162, 4000, 814, 22734, 1585, 14501, 543, 6163, 540, 7777, 5314, 267, 6580, 607, 2484, 1394, 607, 519, 16329, 534, 269, 634, 24194, 540, 6886, 3812, 568, 3309, 543, 2882, 8407, 267, 1875, 31475, 1023, 543, 4853, 6886, 269, 4595, 519, 20167, 626, 18152, 267, 8101, 9424, 540, 2609, 267, 1312, 9422, 543, 6757, 267, 602, 941, 3238, 538, 7626, 8108, 3157, 267, 723, 1044, 1121, 984, 559, 2213, 543, 23799, 30744, 676, 17774, 2772, 3157, 540, 7920, 9341, 29056, 267, 30450, 267, 552, 1663, 341, 2747, 267, 10540, 338, 565, 5314, 543, 575, 2917, 532, 282, 543, 811, 5063, 267, 676, 5599, 543, 1644, 3157, 267, 607, 1134, 607, 676, 824, 4683, 543, 4853, 2238, 269, 1306, 513, 1267, 540, 713, 968, 4134, 11825, 542, 892, 621, 568, 711, 16613, 547, 1265, 1804, 8778, 338, 540, 519, 2197, 5627, 18811, 748, 10250, 3693, 9115, 610, 19518, 538, 1898, 2890, 5991, 22021, 2609, 269, 3414, 1216, 543, 1426, 7031, 267, 26037, 538, 10250, 3693, 8390, 538, 11934, 616, 10299, 883, 519, 1426, 5832, 267, 609, 1419, 24379, 4539, 585, 1480, 543, 3662, 1072, 269, 1809, 519, 1634, 7648, 616, 711, 607, 2943, 18113, 13006, 269, 7439, 568, 972, 6190, 1702, 593, 519, 6286, 540, 891, 7648, 585, 519, 1072, 540, 519, 1604, 543, 922, 8134, 269, 715, 22021, 28119, 11934, 949, 581, 519, 9030, 1757, 894, 3815, 538, 519, 14042, 21049, 11560, 334, 14390, 26578, 2068, 602, 3413, 26555, 1079, 22188, 540, 519, 2021, 538, 10934, 583, 531, 663, 267, 585, 3236, 269, 634, 3622, 1970, 1530, 4567, 540, 6694, 11934, 1223, 2099, 606, 1271, 1071, 29969, 538, 519, 5266, 1164, 18236, 3928, 540, 7486, 5025, 10680, 538, 519, 2197, 269, 634, 1764, 540, 20569, 593, 3662, 1072, 849, 3788, 606, 1858, 540, 2565, 6161, 547, 1312, 6705, 543, 9946, 540, 519, 5458, 569, 1271, 7320, 3014, 14425, 269, 901, 1957, 11828, 513, 1906, 1634, 3347, 1063, 10250, 3693, 4430, 270, 3698, 11351, 31827, 8385, 689, 7777, 5314, 3157, 267, 543, 519, 2199, 543, 6237, 3892, 540, 3676, 538, 812, 543, 2831, 538, 3162, 4000, 269, 898, 568, 11643, 602, 519, 4161, 585, 2104, 1382, 538, 2564, 20569, 1131, 9114, 538, 606, 22555, 4674, 6322, 693, 16326, 267, 2357, 4328, 543, 25643, 971, 3347, 269, 901, 1131, 948, 7494, 538, 3376, 2287, 519, 10368, 8552, 543, 3797, 585, 513, 1297, 540, 2825, 3676, 538, 519, 2197, 563, 280, 269, 4635, 21180, 300, 266, 543, 589, 4306, 2207, 8596, 547, 2697, 4401, 20825, 538, 519, 10507, 5112, 328, 476, 272, 281, 1911, 267, 1822, 11837, 6656, 540, 6239, 9459, 454, 6826, 327, 5864, 590, 1228, 724, 328, 1923, 16549, 537, 1889, 327, 10609, 531, 1690, 5733, 537, 14741, 1923, 3212, 344, 2006, 2279, 345, 531, 1923, 3474, 341, 714, 7720, 732, 325, 341, 663, 1923, 2549, 597, 4437, 13568, 962, 553, 516, 6798, 1923, 29871, 22911, 1877, 2741, 1923, 18536, 23340, 1923, 2279, 3333, 541, 2098, 27927, 541, 604, 328, 454, 20082, 281, 3509, 4401, 20825, 543, 12074, 2291, 538, 519, 6239, 22504, 7293, 7997, 267, 2523, 538, 519, 645, 2378, 336, 8664, 269, 634, 10507, 5112, 328, 476, 272, 281, 1911, 267, 1822, 11837, 6656, 568, 4092, 538, 713, 3148, 543, 972, 616, 1896, 4401, 15183, 543, 12074, 267, 552, 3052, 269, 932, 611, 768, 2728, 267, 932, 26710, 691, 267, 1530, 327, 16644, 1695, 3019, 267, 631, 880, 323, 578, 534, 543, 2098, 27895, 807, 269, 634, 2832, 540, 713, 1353, 568, 547, 2697, 543, 3713, 519, 4401, 12946, 20825, 676, 9001, 519, 14924, 520, 21180, 300, 266, 543, 519, 11628, 6611, 13871, 26365, 2506, 2153, 543, 14506, 30521, 10309, 630, 3008, 9898, 264, 9682, 1239, 269, 11153, 2409, 2874, 540, 12430, 17020, 20530, 2109, 630, 11862, 6363, 527, 1070, 4223, 3481, 8606, 18146, 630, 300, 293, 1070, 15190, 1537, 24234, 631, 1952, 518, 630, 306, 4456, 1070, 15190, 1537, 3171, 1155, 674, 9231, 630, 306, 13697, 1070, 17020, 22472, 630, 16576, 281, 476, 273, 270, 272, 543, 476, 274, 270, 272, 264, 543, 10439, 7664, 630, 305, 16412, 281, 476, 276, 4029, 264, 941, 1031, 585, 713, 3483, 269, 23113, 941, 4857, 676, 3308, 7664, 540, 2592, 543, 6512, 10659, 630, 305, 16412, 281, 476, 32542, 1040, 27010, 2127, 941, 1336, 676, 700, 306, 6363, 527, 267, 631, 293, 543, 590, 4456, 20718, 1373, 13883, 538, 519, 3345, 543, 519, 3345, 7232, 770, 267, 6239, 543, 3345, 5375, 2694, 540, 519, 10507, 5112, 328, 11837, 6656, 799, 568, 1631, 6069, 585, 4401, 20825, 19175, 532, 563, 1015, 269, 1160, 1597, 766, 267, 4511, 523, 8412, 267, 29684, 4259, 543, 13111, 2298, 540, 519, 5070, 18429, 540, 519, 918, 732, 655, 19725, 267, 13323, 540, 590, 22222, 267, 5527, 454, 21579, 597, 631, 269, 2098, 4660, 454, 20082, 281, 634, 5664, 21007, 18152, 918, 732, 655, 5070, 18429, 616, 1271, 3282, 23854, 538, 519, 27623, 851, 540, 519, 13323, 540, 590, 22222, 16935, 267, 5527, 269, 1717, 267, 741, 4511, 523, 8412, 543, 8810, 766, 543, 741, 1764, 593, 13111, 2298, 267, 616, 12303, 7164, 269, 27842, 689, 519, 14858, 527, 7345, 13813, 12197, 267, 543, 519, 5101, 14858, 527, 13813, 12197, 2099, 519, 13722, 918, 732, 655, 630, 305, 1695, 14741, 16588, 264, 543, 519, 16592, 918, 732, 655, 630, 4537, 26196, 16588, 1070, 941, 6594, 1210, 513, 4999, 540, 4620, 5766, 1429, 545, 267, 7777, 16479, 543, 2520, 12950, 2553, 269, 634, 13722, 31670, 14741, 5070, 18429, 723, 606, 3328, 5943, 5888, 540, 1627, 4817, 293, 274, 269, 275, 305, 272, 269, 277, 267, 543, 476, 3445, 260, 540, 519, 21247, 9274, 616, 1395, 665, 31051, 710, 269, 1635, 4334, 267, 519, 16592, 1744, 26196, 5070, 18429, 616, 1152, 5594, 1447, 21247, 846, 609, 606, 3328, 5943, 5888, 540, 1627, 10602, 293, 2641, 305, 274, 543, 476, 11025, 260, 540, 519, 21247, 9274, 616, 1395, 665, 31051, 710, 269, 634, 918, 732, 655, 5070, 18429, 616, 6140, 21247, 13873, 924, 609, 29884, 1016, 1046, 846, 543, 818, 330, 846, 269, 8891, 5766, 1429, 673, 543, 2520, 12950, 1239, 540, 5070, 18429, 5815, 602, 789, 941, 6508, 689, 11491, 12792, 543, 23009, 545, 1768, 23230, 607, 519, 1292, 2707, 4224, 609, 513, 29884, 21247, 846, 13381, 24348, 7725, 543, 20024, 538, 513, 12809, 18626, 14345, 540, 513, 5348, 678, 3424, 16935, 269, 634, 5070, 18429, 540, 519, 918, 732, 655, 19725, 1397, 16057, 6175, 538, 15657, 269, 8891, 5766, 1429, 545, 1353, 7000, 602, 12373, 558, 924, 568, 519, 8789, 9160, 543, 3622, 4386, 607, 5386, 547, 5420, 11002, 558, 2125, 31736, 29473, 6984, 5123, 543, 12725, 607, 513, 10286, 4562, 659, 633, 5123, 269, 589, 3578, 3394, 545, 21247, 4386, 607, 1507, 552, 340, 14366, 14848, 267, 12725, 607, 1804, 13470, 10537, 14848, 538, 519, 3119, 22405, 269, 589, 3578, 3394, 545, 606, 5139, 27866, 3335, 2049, 607, 1093, 1731, 559, 582, 8084, 11002, 558, 2125, 610, 20436, 622, 561, 23411, 1102, 3739, 22405, 855, 849, 607, 18916, 11423, 9160, 269, 634, 25697, 565, 9548, 568, 513, 676, 1790, 6055, 540, 21688, 1091, 1706, 30450, 538, 519, 4527, 540, 15755, 5714, 3812, 1282, 519, 30553, 540, 5214, 2339, 538, 519, 11105, 21007, 18152, 7725, 6185, 328, 10402, 2045, 2934, 1331, 735, 9146, 282, 12373, 558, 924, 267, 21958, 543, 606, 5139, 1679, 2781, 7695, 609, 5634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4543, 547, 1118, 269, 2368, 540, 891, 2872, 4966, 1522, 1331, 7260, 12696, 267, 2575, 5159, 610, 6148, 2754, 19971, 543, 12478, 269, 634, 3152, 2179, 540, 18164, 596, 3489, 267, 519, 811, 2500, 19175, 596, 786, 723, 540, 13844, 6976, 585, 547, 1711, 8301, 585, 519, 2713, 563, 4467, 19397, 568, 711, 1152, 827, 26107, 5250, 269, 1411, 1223, 946, 707, 1983, 585, 6725, 267, 3381, 24056, 543, 8874, 26725, 2982, 610, 26725, 18537, 593, 1283, 540, 602, 269, 0, 16969, 28082, 3163, 7720, 328, 527, 331, 8270, 13045, 16969, 1432, 286, 29114, 6441, 2074, 585, 631, 2737, 256, 8786, 267, 3371, 1358, 3657, 454, 16969, 12126, 6781, 913, 282, 1215, 519, 2766, 2000, 2074, 4217, 519, 544, 2544, 1673, 18182, 3297, 1010, 3640, 5721, 269, 2311, 1318, 281, 634, 1769, 7923, 547, 519, 2766, 454, 16969, 4512, 4512, 1731, 19985, 519, 1034, 700, 24179, 331, 543, 26884, 540, 3640, 2831, 267, 3085, 1405, 917, 268, 1454, 827, 554, 26677, 1010, 530, 6782, 547, 513, 5182, 267, 855, 1045, 523, 268, 512, 633, 812, 561, 5362, 2097, 2059, 543, 814, 5734, 3481, 513, 5182, 547, 519, 544, 2544, 781, 2766, 269, 2353, 713, 814, 1044, 2944, 547, 2149, 519, 544, 2544, 781, 1272, 267, 543, 547, 840, 315, 550, 1864, 689, 9561, 5128, 543, 1818, 8373, 950, 646, 568, 855, 835, 544, 2544, 538, 513, 22755, 540, 544, 2737, 563, 25748, 513, 29070, 8009, 7018, 2282, 11968, 13353, 950, 513, 4807, 5671, 315, 300, 978, 606, 18914, 2059, 519, 19814, 10443, 883, 513, 22755, 540, 544, 2737, 269, 634, 18914, 729, 20739, 22486, 267, 519, 4807, 729, 13676, 267, 543, 1079, 540, 519, 544, 2737, 941, 7166, 269, 589, 5480, 2962, 729, 2663, 19429, 1996, 519, 8227, 540, 519, 544, 2737, 267, 543, 519, 4807, 729, 1659, 1678, 9364, 8101, 14796, 563, 2005, 1131, 3100, 693, 1101, 2219, 602, 519, 8227, 540, 519, 544, 2737, 2864, 982, 519, 10081, 268, 4254, 18442, 331, 729, 13886, 547, 14796, 282, 855, 519, 9794, 1590, 688, 315, 324, 1634, 1945, 827, 544, 2737, 543, 3768, 328, 307, 560, 333, 617, 519, 12918, 563, 2026, 320, 1567, 328, 650, 562, 325, 519, 8009, 519, 544, 2544, 8227, 535, 4582, 2213, 513, 2766, 2000, 697, 547, 581, 12816, 536, 32075, 1010, 2831, 1310, 4158, 269, 898, 568, 513, 1769, 540, 1775, 327, 283, 262, 2241, 882, 548, 743, 2135, 2100, 1826, 267, 971, 607, 568, 1031, 676, 22833, 285, 743, 1235, 269, 1879, 513, 3640, 5721, 540, 544, 2737, 568, 9141, 2059, 693, 3781, 1142, 544, 2544, 568, 24224, 609, 513, 1769, 269, 901, 552, 4512, 269, 17156, 519, 1166, 686, 315, 518, 267, 2484, 538, 519, 678, 3511, 540, 519, 1291, 544, 2544, 267, 547, 4063, 519, 2990, 678, 339, 325, 552, 269, 747, 3662, 538, 1899, 543, 519, 4287, 646, 568, 2921, 563, 16969, 763, 570, 514, 5006, 16359, 12860, 1677, 2142, 13242, 538, 519, 8136, 454, 306, 6865, 298, 4277, 552, 26142, 704, 514, 1304, 268, 21518, 1500, 5063, 676, 512, 262, 2194, 2967, 4512, 7054, 1678, 661, 269, 918, 341, 753, 540, 519, 700, 262, 333, 1243, 6215, 919, 13149, 17620, 609, 513, 2070, 4724, 9591, 519, 1316, 545, 1464, 540, 513, 1507, 5179, 322, 301, 2193, 2966, 676, 18018, 334, 595, 18582, 5459, 563, 26142, 4357, 267, 9280, 538, 5230, 15292, 532, 1931, 267, 6836, 856, 519, 12103, 268, 804, 328, 710, 269, 1261, 1185, 1185, 1100, 7173, 328, 537, 268, 1995, 609, 26873, 610, 544, 263, 910, 8731, 7094, 14369, 269, 966, 564, 1010, 1967, 538, 1766, 520, 268, 3824, 621, 814, 3366, 547, 519, 3661, 602, 621, 1131, 9114, 513, 10950, 1840, 547, 519, 554, 6921, 940, 3235, 7032, 3612, 540, 938, 7980, 269, 634, 3684, 786, 4163, 607, 1454, 607, 1614, 4627, 6550, 543, 12492, 513, 3432, 540, 1775, 342, 4868, 30235, 315, 324, 5195, 606, 5662, 267, 4352, 922, 2597, 568, 855, 15823, 6550, 269, 898, 3217, 15113, 1574, 8811, 8339, 17721, 594, 264, 320, 315, 529, 267, 945, 6836, 621, 856, 267, 1336, 1100, 7411, 538, 26799, 513, 2185, 339, 322, 523, 24266, 13141, 710, 563, 763, 3684, 568, 865, 1507, 602, 621, 786, 2490, 1472, 5857, 329, 264, 15174, 1510, 8594, 269, 898, 568, 865, 1769, 602, 621, 949, 581, 24850, 522, 315, 518, 1022, 3921, 14373, 315, 268, 21677, 269, 2290, 540, 519, 4255, 15538, 538, 14964, 621, 909, 547, 513, 2185, 20356, 20545, 267, 16069, 519, 2599, 543, 17666, 519, 3684, 936, 519, 20545, 267, 782, 540, 799, 729, 2944, 609, 2357, 32075, 2370, 8488, 269, 1403, 519, 812, 945, 9447, 519, 4583, 5048, 547, 25661, 807, 1185, 1185, 835, 540, 891, 1010, 4305, 1131, 723, 1044, 4443, 563, 763, 7516, 540, 519, 2370, 3684, 616, 17288, 32732, 6279, 536, 315, 268, 8370, 6279, 769, 29933, 6279, 269, 898, 568, 3592, 1507, 2614, 547, 581, 513, 1404, 2251, 269, 966, 564, 621, 786, 1286, 337, 315, 268, 1614, 561, 684, 573, 1042, 6550, 585, 15823, 5195, 693, 2073, 342, 328, 5665, 13258, 540, 4557, 21347, 563, 16969, 12126, 2005, 5654, 6263, 267, 855, 621, 786, 524, 333, 337, 787, 1614, 554, 9109, 268, 1743, 7251, 1923, 298, 285, 14241, 573, 16210, 693, 8938, 2947, 5195, 606, 5662, 0, 23737, 519, 5106, 540, 22107, 1228, 1852, 8520, 454, 290, 2444, 1228, 1852, 31230, 1568, 476, 273, 3690, 2466, 614, 1280, 1383, 5426, 1299, 2095, 1852, 769, 835, 11896, 563, 10521, 1852, 17787, 4687, 476, 272, 3803, 1852, 3693, 269, 476, 273, 15392, 3457, 267, 476, 273, 27196, 267, 610, 1852, 7161, 269, 5637, 4299, 676, 519, 1482, 3803, 1852, 3926, 563, 763, 3977, 540, 519, 3119, 3587, 519, 1305, 1448, 585, 519, 6281, 17120, 269, 634, 6281, 17120, 6354, 12885, 519, 3803, 1852, 3693, 563, 763, 6281, 8520, 1590, 581, 1896, 2053, 5488, 547, 4431, 982, 519, 3119, 8520, 585, 713, 547, 581, 6225, 0, 288, 3661, 602, 814, 11478, 585, 513, 1279, 942, 5144, 1259, 763, 14925, 267, 799, 2882, 519, 3047, 543, 519, 3859, 1062, 267, 568, 5266, 11979, 267, 7745, 676, 513, 1007, 17184, 1523, 563, 763, 18700, 12210, 540, 6801, 543, 10785, 568, 15504, 267, 18761, 267, 543, 632, 11526, 676, 519, 14965, 3196, 540, 513, 4130, 14925, 267, 519, 4279, 7395, 749, 23307, 13192, 630, 299, 10157, 1916, 14722, 3494, 602, 519, 700, 10157, 18084, 519, 27305, 10158, 8473, 827, 476, 10384, 2929, 1296, 3516, 267, 2687, 547, 14421, 1670, 4441, 267, 543, 12517, 22314, 519, 9403, 543, 3350, 540, 938, 14925, 1813, 547, 922, 1804, 1543, 540, 4158, 2339, 563, 22349, 1258, 12002, 2161, 602, 519, 2360, 616, 1869, 1373, 5433, 2221, 543, 602, 649, 991, 547, 556, 29264, 875, 938, 14925, 7960, 563, 763, 700, 10157, 267, 1631, 513, 9682, 14925, 540, 519, 27305, 10158, 267, 5526, 607, 513, 25861, 6531, 538, 519, 3781, 22839, 540, 519, 7013, 21571, 1107, 540, 519, 1482, 2012, 267, 476, 1626, 514, 30544, 7395, 749, 534, 267, 519, 14082, 24413, 540, 519, 2540, 563, 28095, 1382, 814, 3254, 602, 700, 10157, 568, 11303, 676, 513, 10300, 334, 267, 513, 4158, 6219, 899, 519, 27305, 10158, 1107, 602, 27788, 15270, 543, 1281, 711, 4309, 610, 12520, 1769, 267, 855, 814, 513, 10565, 14965, 1198, 593, 519, 5163, 540, 6801, 543, 3154, 538, 519, 7122, 563, 8794, 606, 4359, 8579, 2203, 602, 21410, 519, 3432, 540, 519, 27305, 10158, 779, 1034, 11397, 6801, 267, 519, 2160, 540, 25470, 2319, 814, 4362, 875, 519, 700, 10157, 7519, 338, 519, 5163, 540, 938, 14925, 269, 634, 960, 729, 3370, 538, 7849, 18395, 267, 8750, 539, 676, 519, 3703, 7027, 585, 519, 19372, 618, 540, 3163, 543, 5303, 630, 4306, 15598, 1916, 763, 3173, 1336, 602, 519, 9649, 8904, 540, 700, 10157, 779, 4158, 2339, 10300, 334, 22755, 519, 27305, 10158, 1167, 693, 476, 3953, 5998, 1315, 554, 267, 610, 476, 12893, 267, 1220, 12919, 829, 5662, 4724, 623, 1122, 30510, 563, 20776, 29418, 267, 789, 1336, 602, 519, 27305, 10158, 729, 3001, 4724, 513, 1448, 538, 922, 5449, 18330, 267, 711, 519, 700, 10157, 779, 1699, 4087, 607, 5892, 2219, 563, 763, 2601, 585, 713, 568, 602, 519, 700, 10157, 267, 799, 568, 22541, 676, 2527, 8904, 267, 568, 3001, 2476, 689, 519, 27305, 10158, 693, 513, 3432, 540, 476, 24907, 5998, 1315, 554, 267, 476, 272, 269, 274, 2929, 12919, 829, 5662, 563, 22349, 1258, 12002, 2161, 602, 621, 568, 607, 952, 519, 27305, 10158, 568, 3843, 2182, 547, 5734, 513, 3728, 2173, 8221, 3077, 267, 855, 621, 568, 711, 3478, 513, 1360, 1434, 3077, 563, 1607, 6602, 786, 948, 3744, 1020, 1007, 9781, 2553, 602, 2992, 519, 2178, 6422, 4205, 1063, 519, 1079, 15270, 563, 22349, 1258, 12002, 1631, 20053, 547, 1353, 519, 4287, 538, 799, 519, 700, 10157, 1101, 15354, 593, 519, 27305, 10158, 543, 519, 3169, 942, 621, 7018, 269, 901, 786, 7866, 519, 2179, 543, 3892, 540, 4158, 2339, 538, 519, 27305, 10158, 543, 700, 10157, 538, 606, 13778, 1469, 563, 22117, 532, 2278, 540, 519, 20513, 540, 8212, 543, 18395, 543, 16588, 540, 5403, 4777, 28118, 3194, 3220, 269, 7812, 22642, 523, 1767, 912, 2108, 5978, 4681, 2307, 585, 1007, 27305, 10158, 3631, 547, 4766, 519, 4720, 540, 938, 14925, 563, 14071, 2813, 513, 4282, 538, 799, 6801, 693, 11212, 1804, 9883, 540, 476, 4968, 267, 1822, 1769, 26188, 12873, 513, 3965, 540, 519, 27305, 10158, 2497, 1354, 519, 700, 10157, 15354, 267, 543, 649, 6027, 513, 5182, 12210, 10760, 538, 2230, 269, 17240, 1194, 676, 519, 14965, 3196, 540, 519, 700, 10157, 269, 9232, 454, 297, 5282, 3212, 10722, 541, 13041, 807, 267, 7905, 540, 519, 17721, 4972, 540, 3400, 13901, 18868, 267, 20513, 540, 8212, 543, 18395, 267, 1767, 912, 22154, 6602, 9090, 9397, 519, 9059, 540, 938, 14925, 1373, 538, 513, 2186, 540, 11466, 2223, 646, 1767, 269, 769, 1249, 267, 519, 2487, 7771, 540, 519, 700, 10157, 568, 4929, 3978, 6161, 936, 519, 27305, 10158, 563, 2108, 8139, 713, 666, 2285, 721, 606, 26080, 2856, 540, 519, 3892, 540, 4158, 2339, 538, 1312, 15270, 3034, 27270, 281, 968, 19547, 1254, 540, 27305, 10158, 16846, 2962, 1813, 547, 519, 2887, 540, 519, 4279, 7395, 749, 23307, 13192, 892, 676, 7812, 590, 269, 22642, 523, 543, 808, 5282, 3212, 10722, 541, 13041, 807, 267, 5437, 476, 2537, 267, 476, 1708, 271, 267, 7849, 18395, 563, 23077, 296, 281, 476, 1015, 269, 9818, 279, 1315, 521, 25870, 2004, 268, 22903, 268, 23713, 7918, 268, 274, 0, 14937, 9440, 12660, 542, 12518, 281, 1548, 1677, 7233, 2060, 4563, 9440, 645, 16640, 454, 1432, 1411, 9701, 333, 1406, 7233, 8921, 1677, 4563, 11241, 454, 305, 5684, 11241, 616, 1634, 547, 4482, 10987, 543, 17984, 269, 1358, 949, 2014, 2042, 952, 789, 1332, 1932, 2673, 547, 707, 2777, 610, 13452, 269, 1403, 596, 723, 678, 5684, 11241, 2282, 707, 1753, 267, 621, 1522, 581, 1655, 547, 4894, 873, 689, 519, 1858, 1354, 789, 1831, 12362, 563, 23325, 11241, 616, 1776, 1826, 540, 10874, 787, 602, 24643, 7786, 543, 824, 6225, 7103, 269, 1717, 267, 789, 798, 711, 3100, 547, 21898, 1082, 1004, 950, 6738, 538, 1507, 9424, 269, 9791, 9440, 26965, 949, 581, 1434, 15274, 585, 678, 5684, 11241, 952, 6738, 538, 1507, 5666, 269, 9791, 9440, 26965, 786, 4440, 711, 14526, 1134, 609, 678, 5684, 11241, 585, 1426, 2959, 267, 855, 789, 1223, 1683, 930, 12094, 936, 942, 563, 5522, 13589, 9791, 11241, 1656, 681, 5684, 11241, 8625, 2052, 2142, 589, 6153, 22830, 454, 2252, 596, 1616, 547, 1332, 30207, 543, 678, 5684, 11241, 1927, 267, 1287, 621, 1131, 581, 1655, 547, 2030, 873, 538, 519, 1482, 4087, 269, 901, 1259, 596, 4465, 1406, 1205, 883, 8373, 609, 10860, 22215, 1312, 2010, 540, 15708, 269, 1403, 596, 1810, 1406, 2247, 2348, 835, 1826, 540, 17382, 12721, 609, 519, 824, 267, 1287, 6148, 9544, 873, 1927, 2306, 2631, 269, 1411, 666, 849, 2030, 22229, 7258, 3109, 9440, 26965, 952, 602, 779, 1945, 602, 4690, 596, 563, 2691, 596, 616, 3395, 678, 5684, 11241, 7258, 824, 15708, 267, 1287, 621, 1131, 581, 1655, 547, 1450, 2614, 4055, 585, 873, 269, 1358, 2154, 513, 2603, 540, 2230, 267, 543, 789, 786, 1034, 2693, 856, 16327, 23176, 1022, 7404, 2371, 269, 1403, 596, 1810, 1406, 1616, 713, 547, 4755, 267, 1287, 596, 949, 1616, 547, 1332, 873, 12341, 3116, 593, 707, 3959, 563, 9989, 31896, 2961, 12783, 14033, 4563, 11241 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 910, 476, 272, 912, 3546, 2736, 454, 2018, 6843, 815, 6843, 12785, 454, 1038, 952, 6843, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 6843, 318, 2908, 12785, 815, 6843, 12785, 476, 1948, 17276, 493, 496, 24662, 420, 488, 480, 30536, 454, 1038, 6843, 12785, 815, 12162, 4141, 318, 2908, 0, 18257, 272, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 18777, 378, 325, 3287, 6661, 274, 343, 275, 268, 280, 343, 273, 21147, 270, 273, 8147, 13644, 371, 16533, 484, 325, 3287, 264, 16533, 479, 420, 352, 483, 20992, 22047, 16583, 30936, 8147, 418, 365, 480, 25051, 497, 343, 419, 511, 487, 30678, 23284, 31284, 29219, 28793, 8147, 454, 325, 3287, 264, 15159, 14035, 504, 16533, 495, 269, 311, 9463, 500, 29219, 16088, 7918, 267, 9834, 267, 10695, 267, 5038, 267, 23056, 267, 15647, 267, 3607, 275, 18411, 3698, 535, 3287, 2567, 3097, 825, 586, 815, 476, 274, 20080, 1262, 275, 268, 280, 20080, 1262, 273, 21147, 270, 273, 454, 825, 2132, 586, 454, 2745, 17338, 9852, 777, 6600, 267, 314, 7918, 267, 9834, 267, 10695, 267, 5038, 267, 23056, 267, 15647, 267, 3607, 275, 316, 4297, 2020, 18257, 273, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 419, 376, 500, 19540, 503, 22047, 16583, 30936, 8147, 28884, 418, 365, 480, 27447, 24662, 29873, 14756, 358, 8147, 27447, 24731, 29873, 14756, 358, 7511, 419, 511, 487, 419, 374, 356, 12486, 3445, 268, 1911, 20992, 288, 267, 3199, 268, 3445, 20992, 289, 8147, 454, 2568, 268, 3199, 20992, 290, 267, 2568, 26166, 23284, 31284, 20992, 291, 563, 21550, 371, 28032, 489, 27447, 24662, 281, 5952, 454, 21550, 371, 28032, 489, 27447, 24731, 281, 289, 18411, 343, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 7511, 29873, 14756, 358, 16088, 27328, 3698, 3446, 3287, 2187, 825, 952, 476, 3445, 10922, 1535, 10922, 476, 1911, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 288, 4840, 825, 8640, 476, 3199, 10922, 1535, 2999, 476, 3445, 912, 1038, 2132, 257, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 289, 4840, 825, 8640, 476, 2568, 10922, 1535, 2999, 3199, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 290, 4840, 825, 3116, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 291, 4840, 2745, 263, 14079, 3287, 11723, 18257, 274, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 19867, 378, 24731, 25263, 510, 24662, 16583, 30936, 7511, 28578, 23989, 16043, 500, 30317, 14756, 482, 7511, 417, 354, 485, 12255, 12916, 491, 28098, 18021, 498, 7511, 30317, 27381, 510, 8147, 23946, 370, 13213, 498, 18713, 508, 22047, 13161, 364, 7511, 28578, 23989, 454, 21550, 371, 28032, 489, 27447, 24662, 281, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 454, 21550, 371, 28032, 489, 27447, 24731, 281, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 18411, 3698, 9642, 20311, 3287, 2187, 825, 9642, 15893, 815, 11713, 825, 585, 1775, 538, 1535, 912, 1038, 952, 1775, 260, 273, 2652, 476, 272, 912, 2018, 9642, 15893, 6910, 9217, 994, 825, 2132, 263, 15957, 15893, 994, 2745, 263, 15957, 20311, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 28413, 18257, 275, 269, 453, 27818, 12916, 379, 17958, 23523, 359, 27064, 363, 25520, 10254, 353, 13161, 511, 24724, 20069, 18713, 505, 14748, 12255, 21211, 16088, 272, 18998, 273, 18998, 274, 18998, 275, 8147, 420, 25693, 14756, 482, 29873, 14035, 504, 16533, 495, 14748, 11590, 496, 21251, 25203, 372, 12571, 490, 4970, 498, 20721, 510, 19404, 491, 14035, 491, 12255, 21211, 7511, 4970, 487, 12916, 491, 454, 12255, 5405, 509, 12571, 482, 15159, 14035, 504, 16533, 495, 5405, 509, 18411, 11133, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 12248, 815, 476, 271, 454, 1721, 513, 538, 1003, 912, 825, 585, 536, 538, 1003, 912, 1038, 585, 524, 538, 1003, 912, 2018, 952, 513, 11203, 321, 543, 513, 256, 284, 322, 543, 536, 256, 284, 322, 912, 3546, 1293, 6834, 272, 454, 3546, 1820, 3488, 346, 9574, 346, 9574, 24001, 8339, 8971, 5416, 14720, 22698, 4917, 2745, 2891, 13601, 10429, 365, 20069, 260, 323, 14748, 257, 260, 12248, 2020, 18257, 276, 269, 453, 27818, 12916, 379, 17958, 23523, 359, 27064, 363, 25520, 10254, 353, 13161, 511, 24724, 27447, 24662, 4970, 487, 14748, 10533, 368, 12255, 343, 11971, 267, 345, 8147, 13644, 371, 418, 488, 488, 30244, 4970, 487, 14748, 12255, 13200, 365, 16533, 493, 28996, 27962, 27447, 24731, 12486, 18411, 343, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 22047, 12255, 16088, 27328, 344, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 11590, 490, 14748, 12255, 16088, 27328, 345, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 4970, 487, 14748, 12255, 16088, 27328, 604, 1535, 3436, 586, 912, 825, 1535, 11971, 815, 586, 21726, 454, 604, 1535, 3436, 1990, 281, 280, 454, 825, 1535, 267, 345, 815, 1990, 21726, 454, 604, 586, 3436, 1990, 912, 825, 586, 267, 345, 815, 1990, 11971, 454, 2745, 3287, 11971, 267, 345, 264, 0, 258, 272, 454, 720, 25507, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 7511, 23946, 368, 421, 378, 482, 8442, 2020, 604, 2085, 13843, 1240, 912, 825, 1820, 2891, 12916, 510, 26266, 366, 14756, 493, 29873, 23946, 368, 417, 499, 355, 5602, 12828, 912, 825, 890, 842, 2891, 12916, 510, 13213, 502, 10951, 359, 29873, 23946, 368, 15419, 258, 273, 454, 11133, 272, 815, 476, 1839, 454, 11133, 815, 476, 272, 454, 6112, 16325, 272, 11203, 1003, 273, 2187, 825, 1003, 273, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 419, 490, 506, 7511, 12255, 21211, 27363, 825, 952, 1003, 272, 285, 11133, 273, 912, 1038, 1820, 3488, 12916, 510, 27447, 24662, 7511, 29219, 16533, 493, 29072, 5073, 825, 8640, 1003, 272, 283, 11133, 273, 912, 1038, 1820, 3488, 12916, 510, 27447, 24662, 7511, 29219, 27962, 29072, 5073, 2745, 3488, 419, 490, 506, 28098, 29072, 262, 9239, 258, 274, 454, 11133, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 22047, 12255, 21211, 16088, 27363, 604, 1003, 4939, 273, 2652, 271, 912, 825, 952, 1003, 4939, 476, 274, 2652, 271, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 20721, 351, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 18263, 509, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 5602, 825, 3116, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 8147, 21251, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 5602, 12828, 912, 825, 952, 1003, 4939, 476, 274, 2652, 271, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 8147, 21251, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 5602, 825, 3116, 912, 1038, 1820, 2891, 20721, 351, 21251, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 8147, 18263, 509, 21251, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 5602, 258, 275, 454, 8999, 284, 271, 454, 320, 284, 272, 454, 6112, 5416, 27045, 1911, 2187, 825, 2040, 284, 8999, 266, 320, 454, 825, 513, 30381, 266, 272, 454, 2745, 4433, 636, 9239, 258, 276, 269, 6112, 23523, 359, 27064, 363, 454, 12248, 284, 271, 692, 6112, 1293, 2999, 476, 276, 912, 825, 1820, 19304, 6262, 870, 1070, 257, 283, 276, 5602, 825, 1293, 815, 1293, 1341, 476, 272, 454, 12828, 912, 825, 1820, 19304, 6262, 870, 11924, 257, 284, 276, 257, 9239, 258, 277, 269, 1721, 23523, 359, 27064, 363, 454, 4289, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 1721, 1775, 538, 1592, 272, 912, 825, 1820, 9217, 2020, 4289, 273, 815, 1412, 29582, 3698, 326, 7055, 1721, 795, 538, 1592, 273, 912, 825, 1820, 27203, 2020, 1721, 1775, 538, 2039, 263, 276, 2187, 825, 1820, 9217, 2020, 1721, 1775, 538, 2039, 263, 273, 267, 1015, 2187, 825, 1820, 9217, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 1556, 267, 274, 2187, 825, 1820, 9217, 2020, 2745, 17338, 263, 9792, 263, 276, 4297, 2020, 4289, 272, 17342, 272, 267, 273, 267, 274, 267, 273, 2639, 320, 284, 4289, 314, 271, 2639, 1721, 1775, 538, 1592, 272, 912, 825, 952, 1775, 3436, 513, 912, 1038, 513, 284, 328, 454, 2745, 5416, 2020, 4289, 273, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 10086, 320, 3299, 272, 2639, 8999, 284, 271, 454, 1721, 1775, 538, 1592, 273, 912, 825, 952, 568, 27349, 9217, 267, 842, 2187, 1038, 2040, 815, 2040, 1341, 1775, 454, 2745, 4433, 636, 9239, 343, 815, 476, 277, 454, 1721, 1775, 538, 2039, 263, 273, 21726, 2187, 825, 952, 1535, 4939, 1775, 2652, 476, 271, 912, 1038, 1820, 2891, 21251, 15159, 27381, 510, 12255, 5602, 1038, 2736, 454, 12828, 912, 825, 1820, 2891, 15159, 27381, 510, 12255, 15419, 343, 815, 476, 1015, 454, 8999, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 273, 21726, 266, 272, 2187, 825, 585, 795, 538, 2039, 263, 273, 267, 328, 2187, 1038, 952, 1775, 4939, 795, 2652, 476, 271, 912, 2018, 2736, 454, 825, 3116, 10778, 1038, 2040, 815, 2040, 266, 272, 454, 2745, 4433, 636, 264, 0, 258, 3698, 1205, 5472, 292, 6123, 4311, 267, 3597, 272, 281, 30741, 267, 3597, 273, 281, 30741, 264, 9847, 5903, 27776, 14158, 258, 14240, 585, 513, 9352, 3529, 6843, 912, 258, 825, 1362, 30741, 912, 258, 1038, 1219, 6449, 8181, 9191, 1345, 21726, 2187, 258, 2018, 1582, 22183, 24210, 454, 258, 2018, 1582, 16000, 22561, 454, 258, 2018, 1582, 16192, 22561, 692, 5035, 8827, 912, 825, 1219, 1205, 5472, 292, 6123, 4311, 267, 3597, 272, 281, 30741, 267, 3597, 273, 281, 30741, 264, 9847, 5903, 27776, 14158, 1038, 561, 17342, 2639, 1038, 1219, 535, 20172, 2187, 2018, 952, 3597, 912, 3546, 561, 6910, 20172, 22183, 994, 3546, 535, 20172, 16192, 994, 3546, 535, 20172, 16000, 994, 1038, 535, 20172, 272, 994, 1038, 535, 20172, 273, 994, 1038, 561, 31699, 4590, 1038, 2132, 561, 692, 3698, 568, 15228, 13240, 4311, 267, 10174, 281, 21698, 11966, 264, 9847, 536, 944, 912, 825, 952, 711, 3597, 912, 1038, 2132, 6936, 692, 825, 1219, 546, 12028, 20172, 2187, 1038, 952, 3597, 16000, 27841, 256, 284, 10174, 16192, 27841, 912, 2018, 2132, 8771, 454, 1038, 952, 711, 3597, 16000, 610, 711, 3597, 16192, 912, 2018, 2132, 8771, 454, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 2018, 2132, 6936, 692, 1363, 2132, 546, 12028, 20172, 16000, 267, 10174, 16192, 264, 0, 288, 28121, 262, 320, 12887, 321, 12887, 322, 12887, 322, 3299, 272, 8679, 289, 284, 3553, 3488, 320, 13741, 322, 576, 5073, 2745, 10490, 32390, 994, 258, 421, 505, 484, 12571, 486, 7511, 23946, 370, 454, 2745, 10490, 21270, 994, 258, 421, 505, 484, 12571, 486, 7511, 11590, 353, 454, 2745, 10490, 261, 289, 994, 258, 21251, 12571, 490, 28793, 7511, 25060, 483, 12571, 360, 454, 2745, 10490, 317, 289, 994, 258, 421, 505, 484, 12571, 486, 7511, 16141, 354, 454, 2745, 10490, 5174, 994, 258, 421, 505, 484, 12571, 486, 7511, 417, 351, 508, 10254, 510, 454, 288, 14491, 3488, 323, 5073, 289, 269, 26303, 20719, 272, 267, 274, 9574, 314, 275, 267, 273, 3910, 262, 324, 5073, 2745, 10490, 994, 2745, 16360, 994, 258, 10254, 510, 30522, 353, 30317, 27381, 510, 454, 288, 31927, 3488, 320, 5073, 288, 269, 4134, 15258, 3488, 325, 5073, 288, 21014, 10797, 7531, 258, 21211, 10429, 372, 454, 323, 545, 28121, 262, 4067, 9166, 262, 19764, 510, 4970, 487, 12887, 720, 9166, 866, 10086, 25217, 9166, 262, 338, 9822, 262, 8679, 2745, 5560, 545, 994, 258, 32517, 362, 418, 498, 373, 12255, 29004, 362, 454, 323, 545, 9131, 4067, 11172, 8782, 23521, 492, 18713, 505, 7055, 2745, 5560, 545, 994, 258, 418, 509, 354, 19867, 378, 12255, 29004, 362, 454, 323, 545, 10947, 3488, 5417, 816, 5073, 323, 545, 15630, 29239, 3488, 4067, 5073, 2745, 5560, 545, 994, 258, 417, 351, 508, 20693, 510, 12255, 29004, 362, 454, 323, 545, 9131, 5035, 11172, 8782, 13601, 419, 493, 511, 7055, 258, 10254, 510, 30522, 353, 12255, 29004, 362, 454, 23437, 546, 545, 9131 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2063, 1906, 5756, 602, 5230, 4764, 2621, 723, 2799, 2527, 1947, 269, 1284, 1590, 849, 8263, 602, 891, 2621, 786, 3136, 9232, 2863, 559, 519, 1439, 540, 519, 2540, 269, 1879, 17160, 689, 519, 4262, 543, 519, 24654, 2097, 1927, 267, 513, 31685, 568, 17149, 267, 968, 338, 904, 1488, 928, 1488, 985, 267, 7905, 540, 26066, 7177, 693, 519, 2160, 540, 681, 739, 1442, 563, 1432, 1281, 519, 2104, 3180, 538, 4558, 888, 1103, 519, 3476, 2165, 267, 972, 568, 1776, 1212, 9429, 12491, 527, 1464, 602, 649, 782, 1265, 621, 2352, 547, 4952, 269, 898, 568, 519, 1249, 602, 4262, 2157, 786, 3136, 547, 4473, 585, 5553, 607, 519, 5836, 1062, 3217, 513, 1279, 942, 547, 3082, 547, 938, 15911, 10785, 563, 10214, 952, 649, 4383, 547, 3970, 2518, 8337, 547, 476, 272, 269, 276, 5232, 17622, 267, 4262, 2157, 786, 4473, 676, 909, 547, 1614, 7397, 936, 519, 1985, 476, 273, 267, 1822, 1296, 269, 0, 296, 993, 11842, 1018, 568, 519, 3483, 540, 971, 513, 4845, 2807, 4517, 1577, 803, 4688, 721, 930, 8373, 269, 1411, 616, 11613, 1318, 267, 1018, 594, 1767, 568, 1354, 568, 14845, 543, 1018, 594, 2161, 1934, 568, 782, 554, 690, 31683, 267, 865, 5225, 3398, 1250, 3284, 3098, 543, 1175, 11716, 621, 2483, 9989, 621, 948, 547, 12172, 21390, 286, 594, 723, 930, 22027, 563, 4517, 910, 1310, 2542, 519, 2930, 851, 540, 707, 2063, 2022, 594, 993, 7168, 2386, 602, 972, 568, 513, 3765, 24483, 3823, 519, 2165, 834, 1729, 2490, 1055, 8487, 265, 1403, 596, 1224, 1250, 9708, 1586, 596, 786, 5469, 602, 594, 715, 14110, 2207, 723, 1031, 519, 8360, 834, 339, 1248, 1055, 257, 855, 1152, 834, 3553, 966, 284, 271, 257, 1317, 713, 568, 513, 2312, 2165, 602, 3112, 581, 31495, 2181, 1540, 563, 265, 769, 4334, 267, 538, 707, 2022, 1948, 1626, 543, 1948, 736, 596, 616, 1210, 519, 8360, 834, 339, 1248, 1055, 2580, 799, 910, 585, 1250, 6644, 910, 2115, 27792, 563, 265, 1306, 606, 1383, 910, 1577, 803, 10839, 835, 4845, 8659, 538, 707, 2063, 2022, 912, 257, 3719, 875, 1705, 596, 1205, 602, 1507, 5365, 6697, 5547, 602, 3085, 1405, 723, 1022, 9823, 7727, 538, 621, 286, 1635, 7432, 1055, 519, 9823, 7727, 30882, 307, 9506, 1055, 286, 1548, 1281, 713, 1611, 888, 11514, 6618, 286, 22732, 11325, 286, 2598, 762, 286, 5295, 16365, 888, 296, 1589, 267, 4986, 540, 621, 568, 3020, 563, 21156, 267, 519, 546, 322, 1379, 568, 267, 540, 1576, 267, 1031, 585, 12719, 519, 5665, 1448, 1627, 543, 519, 1098, 17238, 766, 575, 332, 630, 6518, 5673, 593, 1627, 1040, 1656, 1310, 713, 814, 1044, 2944, 267, 513, 1507, 1606, 793, 531, 2203, 666, 581, 6537, 799, 3274, 1281, 711, 1397, 519, 546, 322, 3761, 630, 20357, 540, 519, 2470, 540, 519, 1507, 1606, 793, 531, 2203, 1916, 10498, 910, 596, 1289, 713, 513, 834, 1873, 3558, 1055, 27324, 935, 1288, 267, 543, 602, 26141, 519, 2601, 585, 519, 21390, 269, 16393, 333, 319, 339, 596, 4952, 888, 2791, 723, 513, 2603, 540, 1995, 538, 14379, 609, 1004, 689, 824, 630, 12061, 268, 1263, 1501, 6340, 264, 6082, 910, 4769, 319, 339, 596, 1995, 602, 971, 1919, 4755, 689, 942, 547, 942, 888, 11997, 267, 594, 1589, 267, 972, 568, 2731, 1100, 2014, 547, 581, 4401, 1227, 630, 20365, 2063, 4845, 1040, 5502, 267, 621, 26141, 1732, 547, 2491, 707, 6644, 538, 3152, 1469, 910, 3976, 267, 13302, 519, 5506, 540, 21390, 563, 3633, 3951, 281, 1306, 1776, 1383, 585, 519, 10539, 3361, 676, 519, 2165, 834, 339, 1248, 1055, 257, 1413, 693, 6004, 289, 10212, 344, 26141, 2022, 258, 280, 1141, 646, 568, 6998, 952, 834, 4134, 28947, 257, 540, 513, 2707, 568, 4847, 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 ]
[ 2152, 538, 5243, 27109, 713, 2623, 563, 268, 31173, 609, 513, 16943, 568, 1898, 585, 513, 1697, 5868, 543, 2126, 1544, 267, 4180, 519, 1134, 5630, 540, 519, 2915, 563, 3086, 602, 649, 723, 1305, 519, 3942, 267, 1577, 721, 5490, 4514, 883, 519, 10578, 2623, 540, 5243, 6972, 538, 10580, 1354, 789, 1780, 2476, 563, 4692, 710, 10263, 6969, 12280, 281, 4197, 8562, 983, 28073, 454, 4692, 710, 2623, 1354, 2669, 666, 581, 4241, 267, 2523, 950, 621, 2501, 547, 9764, 5322, 269, 2755, 711, 782, 5243, 8858, 713, 2623, 267, 950, 789, 798, 267, 621, 666, 4734, 721, 11842, 1946, 269, 1703, 616, 1585, 4128, 3297, 5243, 6972, 538, 10580, 1354, 789, 1780, 2476, 267, 543, 1620, 891, 24500, 666, 1683, 3407, 4030, 883, 741, 1134, 5630, 563, 3080, 2009, 2601, 585, 5243, 6972, 538, 10580, 1354, 2669, 568, 9636, 610, 11605, 269, 901, 2623, 666, 5815, 5817, 1072, 2152, 602, 949, 581, 4929, 873, 2168, 610, 3929, 9636, 269, 898, 779, 1898, 547, 5431, 741, 4191, 543, 2589, 547, 2327, 789, 4309, 3617, 1416, 543, 3007, 563, 1103, 1840, 547, 9636, 267, 519, 991, 547, 14867, 2933, 666, 849, 1291, 5243, 547, 4497, 538, 9764, 5322, 269, 3807, 899, 3425, 267, 5243, 723, 6211, 2115, 267, 543, 950, 789, 616, 8572, 547, 11886, 873, 267, 621, 666, 2014, 1964, 16531, 543, 989, 2787, 269, 4197, 519, 4276, 1063, 519, 991, 547, 31997, 543, 9764, 3270, 666, 948, 721, 1732, 10146, 713, 2623, 538, 5243, 563, 347, 3725, 3517, 3297, 17268, 19449, 743, 532, 6969, 10426, 532, 589, 3118, 2008, 347, 11514, 1260, 3228, 610, 11605, 1475, 763, 991, 547, 14867, 2933, 1475, 295, 2426, 518, 2008, 347, 28606, 5563, 1475, 1103, 329, 1722, 543, 1928, 1475, 290, 5241, 779, 2068, 2008, 13010, 267, 14000, 666, 3310, 5243, 685, 9764, 5322, 1354, 2669, 269, 1403, 513, 2915, 18387, 1406, 13881, 585, 513, 1247, 267, 789, 949, 8858, 1964, 16531, 607, 741, 1560, 6786, 519, 991, 585, 32351, 269, 901, 4276, 1063, 14000, 543, 4963, 743, 532, 2623, 538, 5243, 8711, 519, 2956, 540, 5870, 741, 9422, 2115, 563, 2005, 779, 4105, 547, 3314, 602, 9764, 5322, 1354, 2669, 666, 849, 581, 22566, 540, 1585, 1072, 2175, 269, 2423, 5563, 267, 5945, 543, 1928, 267, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 2634, 12970, 267, 22578, 1253, 655, 704, 267, 22578, 12110, 267, 8482, 267, 543, 1256, 30442, 16327, 14601, 4524, 666, 782, 581, 7700, 2188, 547, 713, 2623, 269, 4475, 267, 621, 568, 1898, 547, 1491, 513, 11455, 1935, 267, 11287, 824, 4191, 543, 2589, 267, 547, 3313, 952, 972, 616, 1022, 5817, 1072, 2152, 563, 25332, 6326, 9764, 5322, 538, 5243, 1354, 12955, 666, 1683, 3407, 4030, 883, 741, 2168, 543, 3929, 1134, 5630, 269, 898, 779, 1898, 547, 2015, 824, 4191, 543, 2589, 267, 5077, 609, 513, 16943, 267, 543, 2263, 1761, 5817, 1072, 2152, 547, 2327, 741, 2949, 1072, 543, 8788, 269, 5457, 267, 938, 24566, 15274, 7048, 593, 721, 547, 1683, 873, 609, 519, 1416, 543, 3007, 789, 991, 267, 2523, 1282, 741, 3803, 5933, 540, 1272, 563, 1103, 3932, 267, 1247, 711, 782, 5243, 3802, 538, 10580, 1354, 789, 5884, 267, 713, 2623, 666, 723, 1585, 3137, 269, 17268, 949, 5858, 1813, 547, 9636, 267, 519, 991, 547, 14867, 2933, 267, 14000, 267, 610, 5817, 1072, 2175, 269, 1635, 11287, 824, 4191, 543, 2589, 543, 5275, 3318, 5583, 689, 513, 16943, 267, 649, 666, 3313, 519, 2014, 543, 1683, 3617, 1416, 269, 4197, 22578, 2623, 1354, 2669, 267, 3226, 9764, 5322, 267, 2636, 721, 547, 1732, 5660, 938, 10121, 15274, 543, 2327, 741, 1134, 5630, 2394, 519, 1439, 563, 11514, 1260, 3228, 543, 5940, 816, 281, 1133, 16225, 532, 519, 13017, 547, 19449, 743, 532, 10263, 454, 2691, 5243, 3802, 538, 10580, 1354, 789, 5884, 267, 621, 1223, 581, 513, 1129, 540, 9636, 610, 11605, 269, 901, 2623, 666, 581, 22566, 540, 5817, 1072, 2152, 602, 949, 2154, 3007, 543, 1416, 269, 898, 779, 1898, 585, 4620, 5411, 547, 7747, 543, 5431, 519, 4191, 543, 2589, 540, 9636, 610, 11605, 538, 741, 5243, 547, 2327, 741, 1134, 5630, 563, 291, 9233, 949, 8858, 4963, 743, 532, 2623, 1813, 547, 1585, 4128, 267, 971, 607, 1274, 5563, 267, 5945, 543, 1928, 267, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 2634, 12970, 267, 22578, 1253, 655, 704, 267, 22578, 12110, 267, 8482, 267, 543, 30442, 16327, 14601, 4524, 269, 1452, 2175, 666, 2014, 9636, 610, 11605, 267, 3056, 5243, 547, 3802, 538, 10580, 607, 606, 3801, 547, 1265, 8323, 610, 13468, 741, 9636, 563, 25332, 6326, 824, 4191, 543, 2589, 538, 1840, 547, 4963, 743, 532, 2623, 666, 1683, 3407, 4030, 883, 513, 2915, 779, 1072, 269, 15448, 538, 14031, 267, 1648, 2157, 267, 2623, 267, 610, 2168, 5920, 1058, 711, 581, 16053, 267, 607, 789, 949, 5815, 5817, 1072, 2152, 269, 31173, 609, 513, 16943, 568, 2629, 585, 606, 4977, 5868, 543, 3617, 2126, 1544, 563, 347, 28606, 5563, 1475, 23175, 24373, 267, 30392, 532, 693, 10772, 267, 11166, 2008, 347, 1103, 329, 1722, 543, 1928, 1475, 21918, 4771, 267, 19385, 766, 547, 1847, 267, 8417, 547, 5905, 2008, 18871, 5241, 779, 2068, 1475, 19102, 1078, 19818, 267, 7928, 30614, 267, 2597, 2744, 267, 6094, 2960, 2008, 347, 10468, 30950, 2670, 1475, 15404, 2193, 8467, 267, 26900, 267, 2530, 540, 11558, 2008, 3528, 9301, 519, 3095, 1063, 9636, 610, 11605, 543, 4963, 743, 532, 2623, 267, 4620, 5411, 666, 1491, 14942, 3800, 547, 2327, 741, 2915, 779, 1134, 5630, 269, 8617, 18915, 2638, 13522, 543, 5401, 3007, 547, 1022, 7282, 2589, 666, 948, 2697, 543, 2232, 1761, 1072, 2152, 267, 3246, 5243, 609, 519, 1416, 789, 991, 547, 2661, 6126, 543, 6899, 2729, 563, 26903, 779, 11910, 281, 634, 10261, 547, 7313, 641, 543, 8562, 983, 18963, 454, 3080, 2009, 2601, 1946, 5243, 3802, 538, 10580, 1354, 789, 5884, 568, 741, 2067, 15859, 547, 1265, 513, 5078, 5544, 585, 17594, 269, 901, 2623, 666, 581, 4767, 538, 1312, 30042, 5243, 543, 741, 3552, 13413, 269, 17268, 723, 513, 16994, 2631, 540, 9329, 543, 616, 1634, 547, 581, 3728, 573, 1190, 7068, 950, 621, 2501, 547, 741, 13125, 1154, 6208, 269, 1635, 4963, 743, 532, 1354, 789, 9004, 267, 5243, 616, 2111, 547, 5402, 2708, 519, 1604, 267, 3313, 952, 621, 568, 2922, 543, 5078, 267, 543, 1665, 741, 8513, 563, 6097, 547, 16943, 3220, 269, 13191, 14355, 267, 968, 291, 9233, 723, 7960, 547, 581, 3810, 15859, 783, 2831, 267, 543, 741, 4963, 743, 532, 2623, 1354, 17594, 568, 12082, 538, 741, 18577, 22871, 269, 769, 519, 3552, 267, 4963, 743, 532, 2636, 873, 547, 1711, 513, 6870, 1858, 585, 2933, 543, 2061, 1761, 11975, 689, 16326, 543, 9477, 741, 20416, 3034, 1103, 1840, 547, 16287, 741, 8513, 267, 4963, 743, 532, 1354, 17594, 849, 2337, 5243, 1205, 883, 513, 6899, 2990, 269, 1635, 6972, 538, 10580, 267, 789, 616, 2111, 547, 1265, 519, 3501, 5544, 543, 5086, 547, 14867, 2933, 269, 901, 2623, 568, 3226, 18476, 538, 5243, 602, 723, 10688, 2152, 610, 616, 7680, 1928, 1813, 547, 1072, 2175, 563, 347, 3725, 3517, 585, 19449, 743, 532, 10263, 1475, 14300, 540, 2657, 17148, 2008, 347, 1103, 329, 1722, 543, 1928, 1475, 293, 847, 999, 267, 838, 23230, 267, 12263, 2008, 347, 28606, 5563, 1475, 302, 339, 4345, 608, 1181, 320, 267, 1647, 1274, 3968, 2008, 21270, 1778, 6553, 1475, 292, 1338, 13921, 4345, 267, 23971, 4345, 2008, 2005, 779, 1271, 547, 4063, 602, 1247, 4963, 743, 532, 1354, 17594, 568, 513, 1455, 2623, 538, 5243, 267, 621, 1281, 711, 8209, 5815, 602, 513, 2915, 568, 683, 2130, 519, 1439, 540, 922, 1272, 269, 1306, 3220, 269, 14355, 6941, 267, 968, 290, 597, 743, 532, 666, 581, 513, 3339, 543, 2635, 2623, 538, 5243, 269, 1717, 267, 952, 621, 568, 10483, 676, 824, 7282, 2589, 267, 971, 607, 29723, 1173, 344, 267, 2530, 540, 14031, 267, 610, 7411, 6972, 267, 621, 779, 1898, 547, 5077, 609, 513, 16943, 547, 4341, 856, 1022, 5817, 1072, 2152, 3034, 2108, 3528, 1620, 519, 2067, 2623, 540, 5243, 543, 1373, 21713, 538, 11287, 1022, 2242, 610, 17244, 267, 649, 666, 2327, 741, 1134, 5630, 543, 1683, 3617, 1416, 3034, 268, 17268, 3802, 538, 10580, 1354, 789, 5884, 585, 1585, 4128, 267, 1519, 4466, 513, 5078, 5544, 585, 17594, 563, 268, 901, 2623, 568, 12082, 538, 741, 15859, 547, 1665, 741, 8513, 543, 2327, 741, 3106, 563, 268, 19449, 743, 532, 666, 849, 948, 5243, 1205, 883, 513, 6899, 2990, 585, 17594, 267, 2523, 952, 789, 723, 10688, 2152, 610, 616, 538, 1928, 563, 268, 1403, 4963, 743, 532, 2623, 568, 10483, 676, 824, 7282, 2589, 267, 621, 568, 1271, 547, 5077, 609, 513, 16943, 547, 4341, 856, 1022, 5817, 1072, 2152, 563, 295, 2426, 518, 623, 1622, 281, 1215, 2506, 27679, 853, 6729, 338, 2052, 21478, 8562, 983, 28073, 454, 295, 2426, 518, 666, 1404, 513, 1713, 1909, 538, 513, 2915, 779, 2623, 1354, 2669, 267, 3056, 547, 9764, 5322, 269, 1879, 513, 2915, 779, 7181, 568, 8900, 267, 789, 949, 1831, 1964, 1652, 543, 8858, 16625, 5615, 971, 607, 6972, 538, 10580, 269, 901, 2623, 568, 5156, 547, 581, 606, 15859, 783, 3210, 547, 14000, 267, 607, 5243, 538, 519, 3552, 1131, 1419, 1847, 538, 9764, 3270, 1247, 10478, 585, 1426, 563, 2005, 568, 1271, 585, 2915, 5411, 547, 1174, 602, 14000, 5829, 4963, 743, 532, 2623, 568, 711, 9003, 606, 16315, 540, 31587, 2669, 269, 17268, 949, 8858, 713, 2623, 950, 789, 616, 17237, 610, 7680, 513, 12675, 1974, 1510, 1426, 269, 21278, 2834, 267, 7059, 6980, 543, 4180, 513, 2915, 779, 9422, 2115, 616, 1558, 666, 948, 13468, 14000, 5829, 5615, 563, 4913, 267, 621, 568, 1898, 547, 4063, 602, 4963, 743, 532, 4805, 949, 711, 581, 519, 1152, 1129, 540, 14000, 538, 5243, 269, 4033, 2589, 267, 971, 607, 7050, 13047, 1436, 267, 2799, 1426, 5275, 2623, 267, 610, 2597, 2530, 267, 949, 13173, 14000, 5829, 4963, 743, 532, 269, 4475, 267, 621, 568, 2629, 547, 7747, 824, 4191, 543, 2589, 538, 14966, 609, 4963, 743, 532, 2623, 547, 3313, 952, 972, 616, 1022, 5817, 1072, 2152, 563, 347, 29819, 543, 12580, 1475, 303, 6372, 7201, 2391, 2657, 12983, 2008, 347, 2750, 947, 633, 13047, 1436, 1475, 303, 664, 267, 9636, 267, 610, 5042, 7771, 2008, 347, 19102, 1078, 1426, 5275, 2623, 1475, 295, 2426, 518, 267, 16063, 2152, 2008, 347, 26574, 2530, 1475, 303, 3233, 6484, 267, 5817, 2564, 2175, 2008, 2252, 596, 5469, 1022, 7282, 2589, 610, 2242, 538, 707, 2915, 779, 2623, 267, 621, 568, 1271, 547, 5077, 609, 513, 16943, 585, 513, 1697, 5868, 543, 2126, 1544, 269, 589, 16943, 786, 581, 2111, 547, 2708, 707, 2915, 779, 2949, 1072, 543, 1683, 3617, 5583, 547, 2232, 1022, 5817, 2152, 7700, 547, 14000, 5829, 4963, 743, 532, 2623, 269, 5457, 267, 513, 1134, 5991, 712, 1639, 543, 2635, 2915, 568, 811, 2693, 547, 8858, 7059, 2623, 543, 8853, 563, 10890, 17148, 543, 4256, 8177, 593, 19449, 743, 532, 10263, 454, 15703, 5817, 1072, 2175, 666, 3565, 547, 513, 2915, 779, 4963, 743, 532, 2623, 1354, 789, 5884, 269, 1452, 2175, 666, 2039, 689, 1274, 5563, 547, 811, 3978, 2152, 899, 2634, 12970, 610, 22578, 1253, 655, 704, 269, 898, 568, 1271, 547, 4063, 602, 711, 782, 5243, 945, 3802, 538, 10580, 1354, 2669, 723, 606, 5817, 1072, 2783, 267, 855, 621, 568, 4502, 6236, 607, 513, 7872, 563, 3080, 1455, 1072, 3390, 602, 666, 2014, 4963, 743, 532, 2623, 568, 1274, 5563, 269, 1452, 666, 581, 11213, 543, 13943, 585, 5243, 267, 3056, 873, 547, 8858, 9402, 5615, 971, 607, 6972, 538, 10580, 269, 769, 1840, 267, 7063, 610, 1928, 538, 824, 2694, 540, 519, 1560, 666, 849, 1267, 538, 4963, 743, 532, 2623, 607, 519, 2915, 13290, 547, 11883, 609, 519, 9636, 563, 5415, 3978, 2175, 899, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 610, 12970, 666, 849, 1860, 513, 2915, 779, 2623, 267, 1519, 4963, 743, 532, 269, 1452, 2175, 1419, 7519, 519, 3339, 8647, 540, 519, 2634, 543, 8401, 1062, 267, 3056, 547, 9402, 5322, 543, 5615, 563, 347, 10890, 16448, 1475, 303, 6372, 8177, 593, 19449, 743, 532, 10263, 2008, 347, 28606, 32035, 1475, 4692, 2014, 1928, 543, 9636 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 756, 516, 267, 12192, 645, 267, 700, 1393, 514, 267, 12192, 661, 267, 13804, 10901, 454, 290, 1941, 568, 2922, 585, 4616, 1282, 6379, 269, 898, 2337, 2061, 9025, 2068, 267, 19228, 267, 543, 2523, 25242, 4816, 781, 2634, 1646, 269, 898, 568, 849, 1434, 585, 707, 543, 4816, 781, 2960, 563, 5475, 4758, 4332, 267, 596, 666, 3136, 547, 1331, 8970, 538, 707, 2732, 269, 898, 666, 948, 609, 602, 711, 528, 13124, 2182, 1101, 15108, 3350, 543, 2087, 3965, 543, 5075, 563, 2252, 596, 2811, 20418, 267, 1039, 930, 8970, 547, 707, 2732, 547, 2087, 707, 9667, 1072, 267, 2061, 9025, 543, 6147, 15842, 341, 6018, 3676, 267, 543, 1683, 1648, 585, 596, 547, 3136, 8808, 563, 7312, 4816, 666, 3548, 8970, 607, 2038, 607, 950, 646, 24172, 568, 476, 277, 3275, 2025, 269, 634, 5567, 538, 8970, 666, 2087, 4816, 781, 3308, 1646, 543, 12046, 269, 4425, 559, 1134, 2394, 519, 737, 1716, 1564, 616, 2571, 547, 1118, 621, 4443, 585, 4816, 547, 3548, 269, 0, 288, 2754, 20483, 676, 28541, 9503, 779, 1034, 3532, 9520, 267, 1519, 519, 21912, 1103, 1071, 1922, 10133, 1234, 573, 32129, 2006, 543, 519, 14679, 24041, 16205, 27055, 612, 523, 267, 19632, 513, 2244, 10504, 3544, 5842, 12770, 543, 9307, 513, 12050, 5075, 547, 1628, 513, 6216, 20642, 2749, 2443, 543, 729, 5612, 5641, 580, 730, 676, 519, 1158, 779, 4683, 1235, 563, 290, 761, 923, 4766, 519, 4674, 676, 519, 2754, 267, 4469, 534, 1676, 344, 4889, 919, 267, 607, 26846, 538, 4683, 1143, 779, 7802, 602, 1131, 1711, 606, 2825, 9568, 538, 519, 1106, 540, 513, 6071, 862, 17458, 1016, 7875, 269, 1306, 811, 3877, 10836, 827, 519, 30299, 12485, 1031, 1996, 2199, 2244, 14935, 267, 519, 1788, 5526, 5051, 2693, 547, 546, 3497, 538, 922, 15888, 685, 13398, 5142, 269, 1809, 9944, 4469, 534, 1676, 344, 4889, 919, 685, 7213, 6819, 9073, 3788, 606, 1271, 2856, 281, 634, 7345, 9351, 2115, 513, 2603, 811, 8027, 267, 543, 649, 949, 991, 27352, 3710, 4872, 547, 1205, 972, 563, 2467, 568, 4986, 1007, 827, 4872, 3710, 676, 9520, 543, 14078, 269, 9919, 30503, 1674, 267, 4469, 320, 1421, 729, 2919, 676, 519, 32240, 18557, 7577, 543, 2882, 5656, 689, 11265, 23766, 899, 17722, 9652, 543, 7917, 589, 8160, 269, 590, 1181, 269, 630, 11514, 2284, 814, 4421, 1055, 1034, 540, 922, 3180, 902, 4700, 3502, 2484, 689, 1530, 9567, 267, 519, 14576, 4777, 4139, 6355, 10588, 729, 2919, 676, 513, 931, 24832, 540, 1483, 10040, 9367, 282, 621, 568, 9709, 1472, 513, 1079, 30026, 28902, 10357, 7888, 267, 1164, 24289, 25708, 602, 568, 5921, 547, 2777, 936, 476, 2568, 267, 1822, 1004, 563, 2467, 568, 849, 1100, 4341, 602, 4872, 9709, 676, 6608, 616, 25432, 9120, 269, 769, 476, 4489, 271, 519, 25650, 540, 22768, 267, 31550, 10067, 944, 267, 9896, 3013, 779, 1101, 7292, 1990, 11238, 3921, 12099, 267, 12799, 536, 18732, 4563, 4892, 689, 3001, 883, 5354, 22554, 2749, 7161, 267, 6028, 519, 2749, 5409, 572, 326, 27935, 585, 5756, 269, 4438, 519, 476, 3422, 271, 338, 267, 519, 1164, 21226, 1665, 540, 7292, 17478, 267, 513, 4357, 17354, 3957, 6276, 681, 1787, 9709, 606, 7471, 2749, 538, 7404, 12052, 267, 631, 323, 269, 12052, 568, 711, 3501, 267, 855, 621, 3788, 7292, 569, 3309, 267, 543, 2687, 547, 1239, 689, 519, 31621, 25304, 267, 621, 1281, 27723, 1732, 982, 7404, 22768, 693, 5009, 16057, 10688, 585, 4563, 1977, 1453, 563, 5194, 9709, 2146, 267, 519, 8381, 4133, 538, 7147, 267, 729, 4535, 856, 540, 519, 12052, 1995, 269, 898, 3091, 513, 3532, 1383, 540, 875, 513, 27352, 22885, 2749, 666, 1683, 513, 1390, 4308, 540, 1857, 1434, 563, 24730, 623, 5139, 5362, 27508, 267, 513, 22082, 16073, 540, 2067, 3154, 267, 729, 6273, 547, 1711, 519, 2146, 1310, 11504, 513, 1623, 24007, 18799, 676, 12052, 779, 9367, 269, 1261, 21534, 1082, 540, 6004, 269, 681, 1787, 779, 5449, 5520, 543, 1256, 21534, 513, 1733, 691, 517, 2389, 11712, 13162, 534, 14012, 547, 948, 1683, 3617, 1489, 585, 1514, 267, 3226, 3909, 267, 2238, 563, 2005, 3576, 476, 2412, 1296, 585, 519, 2551, 540, 519, 8381, 4133, 547, 1332, 689, 476, 279, 267, 6110, 630, 514, 476, 2735, 271, 264, 547, 476, 14625, 267, 1822, 630, 514, 476, 1708, 271, 1040, 1809, 9639, 6976, 1055, 281, 634, 3506, 8573, 21403, 3896, 18990, 8638, 621, 607, 835, 540, 519, 1655, 772, 2529, 269, 4872, 547, 2661, 538, 563, 9213, 267, 609, 11667, 8027, 2418, 540, 1269, 27174, 267, 6110, 543, 11667, 14407, 10865, 10519, 540, 1269, 272, 267, 278, 2537, 267, 519, 1646, 568, 1100, 3476, 519, 20476, 664, 602, 621, 2899, 729, 269, 12846, 267, 519, 5777, 616, 513, 1129, 602, 1004, 899, 621, 269, 1656, 1247, 519, 8381, 4133, 1281, 711, 2671, 12052, 779, 1686, 540, 7292, 7862, 267, 476, 866, 2600, 540, 922, 10820, 616, 17104, 267, 543, 519, 31621, 25304, 2982, 602, 16057, 10688, 585, 1970, 268, 543, 1647, 13867, 17104, 1453, 568, 2362, 972, 982, 538, 1034, 540, 20279, 563, 291, 1263, 2473, 807, 14563, 20582, 3624, 779, 1847, 547, 1863, 13055, 676, 6031, 602, 968, 527, 3085, 1406, 2339, 2436, 513, 3032, 568, 3109, 610, 3043, 267, 607, 1279, 607, 621, 29598, 8983, 1848, 634, 4993, 4528, 1058, 581, 602, 621, 3085, 1406, 2339, 952, 519, 17354, 568, 4357, 610, 1857, 267, 607, 1279, 607, 621, 13976, 519, 8027, 602, 519, 1533, 2115, 547, 1831, 811, 10097, 269, 4634, 952, 891, 1131, 15515, 2749, 26767, 1118, 10935, 2903, 338, 540, 9073, 267, 3478, 9170, 2673, 547, 519, 3853, 540, 4469, 534, 1676, 344, 4889, 919, 547, 2777, 476, 6110, 267, 1822, 1004, 2443, 909, 547, 476, 276, 2600, 540, 519, 7345, 9351, 779, 1699, 2551, 2443, 1131, 3648, 948, 1118, 519, 3148, 811, 10097, 543, 8537, 563, 19465, 538, 519, 7345, 9351, 786, 5512, 3013, 547, 3136, 922, 1686, 540, 3850, 1004, 547, 882, 11229, 547, 811, 11327, 4025, 269, 769, 519, 2038, 5756, 540, 519, 476, 866, 628, 2540, 267, 6705, 2451, 519, 22586, 3037, 540, 519, 5101, 585, 1732, 3484, 1633, 538, 519, 29268, 269, 589, 2540, 2663, 267, 6634, 540, 1004, 2451, 6683, 3297, 538, 3870, 540, 1256, 811, 15417, 2804, 2666, 281, 4872, 269, 901, 5458, 5912, 729, 2009, 1152, 1317, 4872, 3710, 5318, 9424, 540, 8027, 269, 769, 519, 476, 4572, 271, 338, 4805, 267, 1715, 3840, 4975, 3773, 476, 10384, 267, 1822, 4559, 269, 769, 2487, 5756, 1977, 2208, 814, 6410, 547, 519, 6129, 25028, 267, 543, 1004, 616, 2469, 972, 711, 1175, 585, 519, 8799, 4365, 269, 1306, 8828, 4872, 899, 20279, 543, 24611, 1628, 2614, 8027, 547, 1832, 5777, 1970, 267, 789, 616, 521, 13023, 11238, 2551, 2476, 689, 519, 1630, 4040, 1558, 4592, 540, 9811, 6670, 792, 563, 9213, 267, 4993, 568, 835, 540, 519, 1034, 11327, 4025, 538, 519, 2197, 267, 855, 621, 3085, 1406, 1577, 1004, 538, 1317, 21427, 23125, 856, 875, 547, 3625, 1007, 4070, 267, 799, 24864, 5777, 909, 543, 7607, 1524, 269, 4518, 676, 26284, 6874, 2967, 670, 338, 773, 327, 543, 2037, 878, 334, 2859, 26152, 1336, 602, 3908, 1569, 547, 3013, 779, 1034, 11327, 4025, 968, 869, 1229, 14919, 772, 2529, 269, 2208, 676, 476, 3607, 2600, 689, 476, 3422, 275, 547, 476, 1220, 280, 3034, 10214, 1498, 17837, 547, 1646, 538, 9381, 4993, 1419, 3490, 741, 7440, 593, 2825, 12406, 267, 2679, 972, 568, 835, 540, 519, 1655, 1919, 602, 3013, 1223, 581, 3257, 547, 4831, 2518, 8337, 269, 2290, 540, 721, 267, 7905, 3794, 320, 525, 518, 267, 543, 513, 2160, 540, 8828, 4993, 2825, 30168, 267, 15623, 918, 23167, 267, 7229, 602, 9381, 4993, 729, 3362, 519, 2547, 3327, 25673, 851, 540, 519, 2197, 1317, 540, 922, 7646, 2916, 563, 763, 4469, 534, 1676, 344, 4889, 919, 4674, 547, 1628, 538, 3752, 8457, 6019, 267, 827, 476, 2568, 5195, 22583, 540, 5842, 12770, 267, 8188, 2101, 9465, 602, 723, 1044, 31903, 676, 519, 1895, 779, 818, 5766, 766, 269, 634, 811, 982, 476, 2004, 267, 1822, 14143, 540, 2244, 519, 14679, 814, 5833, 568, 711, 1990, 19861, 585, 10821, 946, 269, 27116, 1005, 22257, 13170, 547, 1205, 519, 1788, 1055, 519, 2666, 786, 2154, 2484, 811, 6791, 538, 519, 25029, 540, 9111, 982, 568, 3335, 1336, 538, 28541, 9503, 269, 1306, 519, 2754, 22851, 538, 18979, 3656, 12959, 609, 2199, 2244, 14935, 267, 945, 934, 2224, 621, 540, 2178, 268, 9879, 873, 543, 7432, 1920, 2818, 1996, 835, 1776, 538, 519, 2012, 540, 4028, 2244, 11601, 267, 621, 5526, 602, 519, 1788, 568, 9813, 908, 3294, 689, 519, 1360, 16167, 621, 1131, 991, 547, 8011, 563, 30949, 2679, 814, 2356, 1044, 513, 10319, 26035, 602, 3340, 22371, 543, 29263, 593, 513, 554, 633, 540, 13007, 269, 9453, 7011, 1782, 513, 2647, 543, 11215, 2146, 267, 4469, 534, 1676, 344, 4889, 919, 568, 593, 519, 1259, 547, 7092, 519, 1482, 12556, 607, 17121, 19769, 6997, 338, 267, 606, 22843, 2754, 602, 8959, 547, 1628, 513, 13777, 22618, 2749, 538, 17842, 563, 11101, 267, 513, 2749, 3710, 676, 28541, 9503, 544, 690, 6160, 786, 8011, 1152, 952, 621, 12662, 1004, 1354, 5656, 269, 1703, 616, 2749, 20671, 9988, 267, 899, 519, 8381, 4133, 267, 602, 723, 2919, 519, 1514, 6091, 547, 1711, 2146, 267, 855, 789, 1810, 1406, 10836, 16074, 563, 3719, 1256, 952, 4469, 534, 1676, 344, 4889, 919, 7475, 909, 538, 5821, 267, 649, 12582, 1406, 7340, 602, 4357, 3946, 723, 3710, 1390, 4872, 269, 634, 8381, 4133, 2982, 721, 602, 1489, 689, 4357, 3854, 666, 1404, 513, 11327, 1909, 538, 2870, 2950, 269, 3752, 8457, 6019, 568, 2673, 2614, 547, 5842, 12770, 602, 519, 1858, 666, 25006, 4228, 519, 8027, 6006, 538, 519, 3148, 563, 294, 1516, 621, 513, 2119, 568, 1732, 982, 519, 4567, 28943, 269, 2913, 779, 711, 12235, 519, 4816, 856, 609, 519, 8602, 1216, 269, 0, 21413, 15298, 30843, 267, 10408, 1239, 666, 1152, 581, 10299, 936, 835, 4908, 3625, 693, 513, 942, 269, 2961, 8175, 30843, 2636, 1239, 4483, 547, 2049, 936, 2789, 4908, 7161, 8195, 563, 2791, 666, 1589, 540, 621, 676, 21658, 609, 11423, 513, 19943, 609, 1216, 269, 589, 19943, 1373, 4904, 676, 2789, 554, 4680, 786, 6445, 5488, 982, 513, 19943, 1373, 4904, 676, 513, 2582, 25652, 563, 10111, 8175, 30843, 568, 1152, 2009, 950, 1312, 513, 10408, 3060, 543, 513, 3926, 593, 519, 3060, 1489, 621, 269, 7324, 11436, 602, 1489, 15298, 30843, 267, 972, 666, 581, 3604, 538, 875, 1082, 4908, 7161, 666, 581, 5916, 563, 15152, 519, 1699, 700, 15288, 16551, 267, 513, 5021, 540, 2947, 4908, 7161, 949, 581, 5916, 998, 15298, 30843, 269, 0, 1103, 513, 14262, 4090, 1282, 6792, 779, 22305, 1116, 1930, 18322, 1308, 6217, 593, 1133, 30009, 674, 2391, 27014, 630, 308, 293, 11675, 1070, 1079, 544, 17026, 1881, 3788, 267, 16143, 547, 581, 540, 31373, 14111, 5169, 267, 941, 30792, 269, 1452, 824, 16447, 569, 15013, 941, 11552, 691, 1117, 538, 18475, 1394, 538, 476, 1001, 278, 543, 723, 536, 3530, 1194, 4966, 2479, 2094, 269, 2060, 4703, 6580, 1394, 476, 10384, 543, 476, 5197, 271, 1296, 267, 1630, 8463, 1614, 1922, 532, 1229, 3946, 543, 28608, 15693, 338, 267, 741, 15116, 4162, 723, 2451, 519, 1158, 538, 25713, 269, 1809, 5310, 519, 1034, 27314, 13414, 540, 782, 281, 5027, 2079, 814, 17046, 569, 11943, 602, 891, 7919, 616, 711, 540, 1480, 16350, 269, 769, 713, 4760, 2065, 3408, 267, 649, 5490, 883, 519, 3877, 540, 713, 9058, 2680, 543, 922, 1761, 1764, 593, 6792, 779, 5794, 16470, 2920, 563, 763, 27405, 1190, 631, 27186, 912, 763, 1079, 544, 17026, 1881, 9988, 267, 799, 723, 1631, 1831, 519, 4099, 540, 2518, 3007, 267, 941, 4362, 538, 519, 25545, 8916, 540, 18475, 269, 634, 1101, 540, 519, 6292, 568, 6059, 547, 581, 1472, 476, 10384, 1296, 2025, 267, 1247, 922, 13959, 7389, 1394, 513, 31417, 476, 5197, 271, 1296, 269, 1548, 5036, 873, 6306, 689, 4376, 3116, 593, 3047, 616, 741, 1614, 1922, 532, 1229, 3946, 543, 28608, 15693, 338, 267, 4162, 602, 1219, 344, 519, 8155, 540, 1480, 7350, 269, 1452, 15116, 2934, 723, 5337, 1243, 7920, 7521, 1369, 519, 3621, 2146, 267, 609, 930, 1179, 6819, 602, 891, 7919, 949, 8197, 581, 540, 31373, 14111, 5169, 563, 4462, 792, 2251, 1325, 1329, 5027, 912, 3080, 540, 519, 1034, 4230, 15929 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 260, 667, 309, 1070, 476, 271, 269, 3607, 8406, 540, 4401, 630, 273, 260, 667, 309, 1070, 476, 3953, 269, 272, 8406, 540, 11379, 630, 271, 269, 6924, 260, 667, 309, 1070, 543, 476, 271, 269, 2190, 8406, 540, 9770, 630, 4785, 6395, 5253, 10574, 6239, 267, 476, 276, 268, 272, 268, 2537, 282, 22340, 5253, 10574, 6239, 267, 476, 276, 268, 272, 268, 2537, 321, 1070, 2059, 609, 1507, 5666, 540, 7513, 267, 13101, 267, 543, 645, 8324, 630, 294, 17924, 714, 328, 267, 4165, 9171, 1218, 630, 15368, 601, 264, 476, 1708, 274, 1916, 289, 2465, 14947, 568, 15469, 585, 3875, 1072, 2175, 267, 971, 607, 5885, 4761, 1072, 267, 20993, 1648, 267, 4227, 8501, 267, 20993, 6797, 1599, 267, 4227, 6553, 267, 4227, 12119, 11959, 267, 543, 5009, 1131, 7067, 267, 855, 972, 616, 1360, 1906, 4791, 2090, 10442, 13520, 14947, 585, 891, 2175, 269, 6178, 538, 607, 513, 4759, 585, 3877, 267, 1519, 2436, 4791, 2090, 1489, 946, 540, 13520, 14947, 585, 1022, 540, 891, 2175, 267, 2009, 2427, 2360, 971, 607, 14711, 267, 3075, 4205, 540, 13520, 14947, 267, 543, 1942, 563, 18794, 2221, 547, 12260, 782, 4759, 2640, 1519, 2407, 1569, 547, 782, 14160, 12226, 543, 936, 476, 272, 267, 6110, 8039, 12282, 7765, 3767, 454, 2704, 2819, 513, 4759, 286, 6178, 769, 3371, 563, 18794, 1631, 693, 8940, 269, 4621, 10179, 18350, 2593, 10768, 7765, 13045, 8138, 2466, 707, 6085, 454, 1607, 4183, 568, 11658, 547, 3742, 2818, 563, 18794, 1631, 547, 1039, 8292, 543, 1205, 782, 4759, 2640, 267, 1519, 936, 476, 272, 267, 6110, 8039, 12282, 7765, 3767, 454, 2704, 2819, 513, 4759, 286, 6178, 538, 1934, 563, 13070, 872, 547, 19410, 16301, 454, 8923, 705, 728, 676, 519, 1739, 912, 2690, 707, 7834, 267, 1152, 707, 1101, 2012, 630, 5228, 707, 2272, 264, 4553, 676, 513, 4351, 1297, 786, 2408, 609, 707, 6085, 269, 2659, 2063, 2012, 543, 4757, 2232, 786, 711, 581, 10268, 563, 7312, 6085, 814, 1044, 11643, 454, 2171, 786, 2689, 707, 6085, 1354, 621, 568, 11540, 269, 0, 1692, 1454, 942, 798, 596, 1589, 519, 3328, 918, 1700, 274, 2875, 22939, 1565, 827, 2257, 286, 774, 8812, 3764, 513, 1554, 286, 1323, 5662, 513, 1554, 286, 4270, 267, 2687, 547, 519, 476, 1001, 279, 2817, 11752, 540, 3163, 543, 9119, 4065, 267, 918, 1700, 274, 1053, 6170, 606, 3328, 540, 476, 8660, 3764, 4974, 661, 6369, 267, 476, 6872, 3764, 1565, 2979, 267, 543, 513, 1295, 4593, 2544, 476, 1240, 3764, 513, 1554, 593, 2257, 269, 1452, 2338, 5749, 1406, 1932, 9670, 950, 596, 2015, 602, 2542, 543, 2979, 616, 1164, 14422, 538, 2038, 9344, 269, 1717, 267, 950, 7855, 3111, 547, 1118, 4055, 585, 2257, 538, 741, 4245, 267, 1053, 666, 1869, 6336, 856, 593, 1898, 2208, 563, 16631, 568, 1454, 811, 982, 20803, 10785, 610, 8357, 1944, 519, 13350, 2609, 269, 2311, 922, 2295, 267, 2257, 568, 827, 26378, 883, 513, 2875, 779, 17916, 7279, 543, 5876, 1247, 5807, 741, 2565, 3206, 1983, 269, 898, 7512, 873, 547, 2307, 1271, 2055, 543, 3605, 4267, 676, 5402, 6313, 741, 10450, 563, 11693, 519, 11212, 14095, 1153, 1554, 8430, 267, 4466, 4055, 585, 2257, 786, 1491, 811, 982, 513, 2370, 8112, 543, 3860, 3206, 269, 3371, 616, 1175, 513, 1906, 2200, 543, 2994, 602, 3610, 666, 2322, 883, 2259, 1318, 2476, 912, 272, 269, 6056, 476, 1428, 281, 11334, 666, 1376, 676, 2502, 1053, 538, 2238, 602, 786, 4734, 873, 4743, 12913, 543, 1521, 873, 899, 1483, 3744, 267, 782, 538, 1152, 476, 1428, 3764, 610, 1447, 269, 1452, 666, 1331, 13241, 2591, 899, 513, 18899, 2196, 610, 513, 3556, 13486, 4161, 269, 15439, 1683, 1053, 609, 7727, 267, 7355, 267, 543, 10148, 543, 1287, 4161, 873, 547, 2743, 513, 1808, 3804, 269, 3958, 267, 3610, 666, 1491, 1919, 513, 1900, 2417, 609, 769, 11431, 538, 11059, 4245, 269, 1452, 1863, 2200, 616, 2966, 547, 4497, 1053, 543, 1205, 873, 3206, 7184, 827, 741, 1888, 269, 7454, 540, 782, 267, 519, 4245, 1491, 9170, 689, 476, 1428, 268, 1789, 3764, 543, 609, 2370, 547, 1100, 3341, 585, 519, 4116, 563, 273, 269, 6056, 9177, 281, 2422, 713, 14292, 2203, 547, 7618, 707, 1053, 602, 891, 968, 7809, 892, 1983, 616, 1175, 607, 1271, 607, 519, 2257, 267, 2979, 267, 661, 6369, 267, 543, 1514, 2090, 1543, 789, 1451, 269, 634, 28787, 267, 15845, 267, 25705, 3898, 568, 513, 1390, 1259, 547, 3895, 2565, 3206, 267, 1582, 1673, 3925, 267, 543, 16177, 269, 4841, 1058, 2626, 513, 2243, 5693, 538, 741, 28787, 269, 3973, 789, 1058, 946, 15845, 630, 534, 3315, 7458, 1239, 264, 547, 1489, 741, 3409, 269, 4841, 1058, 9096, 676, 3246, 25705, 630, 534, 4661, 264, 607, 547, 1946, 519, 2963, 7028, 519, 3409, 269, 595, 2207, 338, 666, 581, 1031, 538, 1022, 1543, 1858, 1141, 1053, 991, 547, 1489, 513, 3409, 609, 3280, 2963, 543, 7744, 269, 6744, 621, 856, 538, 2962, 1934, 2336, 268, 19208, 568, 519, 21199, 1575, 2069, 2115, 910, 4873, 476, 273, 267, 476, 1708, 274, 454, 268, 476, 274, 1007, 3466, 538, 2875, 4879, 910, 4873, 476, 273, 267, 476, 1708, 274, 454, 268, 4208, 1062, 7004, 568, 2693, 513, 10612, 5326, 910, 4873, 476, 272, 267, 476, 1708, 274, 0, 288, 2487, 1353, 814, 7152, 519, 2640, 540, 954, 698, 1890, 5698, 1282, 1426, 13871, 4576, 12176, 13753, 269, 634, 1353, 729, 5342, 676, 3173, 689, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 779, 4741, 585, 5253, 8881, 543, 11930, 12594, 630, 293, 6395, 779, 595, 12396, 3198, 264, 543, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1916, 763, 1445, 540, 519, 1353, 729, 12726, 268, 22873, 7007, 4825, 4592, 8826, 4934, 19874, 15766, 725, 630, 10485, 4629, 3674, 1070, 799, 616, 15748, 676, 519, 6051, 540, 23633, 15451, 25904, 689, 1426, 1587, 610, 2825, 5439, 267, 4553, 676, 519, 8446, 540, 513, 12440, 540, 16220, 1644, 4791, 25904, 267, 609, 7766, 16917, 328, 11043, 543, 10250, 3724, 13753, 30260, 513, 3095, 1063, 513, 14353, 6174, 543, 10108, 269, 16038, 4629, 3674, 267, 799, 616, 1031, 676, 1031, 676, 5313, 1857, 1072, 543, 9431, 4891, 538, 519, 772, 2529, 1421, 616, 13087, 676, 519, 2810, 946, 540, 2898, 11646, 15971, 630, 310, 14899, 264, 585, 25904, 540, 1426, 13871, 13596, 267, 607, 1134, 607, 519, 2702, 547, 2671, 543, 5635, 1239, 593, 1857, 5867, 563, 6097, 547, 606, 2079, 540, 1079, 2013, 2090, 267, 16038, 4629, 3674, 1450, 585, 4505, 8367, 5108, 267, 4553, 676, 6098, 4015, 540, 1344, 827, 1426, 23927, 543, 519, 3536, 543, 10672, 540, 1719, 267, 547, 6166, 513, 3095, 1063, 519, 10108, 543, 741, 2707, 269, 16038, 4629, 3674, 1419, 1291, 547, 4505, 2962, 602, 1223, 2569, 519, 4560, 543, 11411, 540, 1426, 13871, 4576, 17061, 267, 543, 1331, 824, 2640, 899, 5813, 883, 1426, 13871, 4576, 5316, 1081, 267, 3486, 5698, 267, 543, 3255, 585, 8476, 1426, 3106, 3646, 1851, 2872, 269, 2201, 519, 824, 1688, 267, 972, 2291, 2591, 547, 16038, 4629, 3674, 267, 971, 607, 4199, 14556, 4369, 267, 13260, 540, 16917, 328, 11043, 543, 10250, 3724, 1239, 267, 543, 606, 5051, 1950, 1426, 3761, 5832, 563, 763, 1079, 2013, 2090, 11567, 941, 513, 476, 272, 264, 476, 1001, 279, 12176, 540, 10108, 3361, 676, 4672, 8645, 13572, 609, 700, 3563, 807, 1395, 26014, 4094, 525, 267, 543, 476, 273, 264, 513, 476, 1001, 279, 12176, 540, 27187, 3397, 17754, 328, 10108, 7654, 5532, 547, 14735, 3575, 269, 1452, 1079, 17061, 941, 6074, 607, 789, 2838, 519, 4254, 16478, 540, 513, 1713, 1297, 540, 1857, 1072, 4648, 543, 2200, 693, 519, 2199, 267, 1533, 267, 543, 5313, 1377, 269, 3958, 267, 2963, 3812, 1282, 519, 16038, 4629, 3674, 3366, 547, 1587, 31061, 267, 9744, 24422, 267, 10386, 2238, 267, 543, 10618, 547, 24633, 519, 1857, 827, 519, 27416, 2472, 269, 0, 763, 1397, 543, 2995, 1895, 713, 3018, 568, 19154, 16604, 1895, 269, 1403, 596, 616, 538, 19154, 16604, 1895, 267, 596, 666, 3142, 513, 1397, 543, 2995, 538, 593, 13723, 547, 2671, 609, 707, 2828, 269, 898, 1223, 581, 1945, 602, 2501, 538, 707, 9126, 610, 621, 1223, 581, 2366, 538, 3842, 24135, 12960, 547, 581, 3838, 593, 519, 5496, 563, 2690, 1753, 1565, 713, 3018, 912, 20091, 910, 8347, 547, 1224, 707, 2542, 1433, 610, 1776, 1257, 3232, 543, 1129, 707, 2542, 2594, 950, 596, 798, 269, 1411, 666, 1224, 707, 1153, 2835, 610, 824, 2835, 602, 596, 1522, 723, 693, 1753, 563, 8967, 32478, 910, 3776, 1007, 18001, 476, 276, 3280, 568, 519, 1445, 540, 938, 29745, 713, 3018, 269, 1703, 786, 581, 476, 275, 1913, 547, 1451, 609, 519, 15234, 1195, 257, 3280, 538, 873, 269, 1703, 616, 476, 273, 1913, 602, 616, 5729, 476, 272, 1455, 9868, 1913, 602, 991, 547, 581, 19927, 676, 8289, 2864, 982, 7311, 513, 4341, 269, 1703, 786, 581, 513, 1449, 1985, 11728, 630, 1015, 628, 5239, 264, 538, 513, 2370, 4544, 1433, 602, 616, 4867, 693, 1153, 269, 634, 2835, 786, 581, 8120, 1753, 11728, 12784, 865, 596, 666, 1294, 875, 596, 3893, 593, 2336, 4942, 9582, 910, 649, 616, 4358, 18001, 476, 276, 713, 3018, 269, 3776, 1007, 3280, 568, 23690, 269, 1411, 666, 26821, 31986, 873, 267, 12404, 519, 4992, 693, 1753, 543, 1404, 513, 3014, 610, 1404, 12617, 14951, 630, 4942, 848, 476, 276, 264, 593, 1912, 9582, 1404, 563, 2791, 666, 2347, 1022, 4247, 689, 519, 4201, 4379, 476, 272, 23918, 7470, 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 ]
[ 7077, 10305, 454, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 3080, 994, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 10521, 994, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 16248, 994, 2745, 318, 30350, 5334, 701, 14369, 263, 30350, 3080, 994, 2745, 318, 30350, 5334, 701, 14369, 263, 30350, 10521, 264, 0, 454, 5228, 7379, 3155, 269, 5891, 1104, 4159, 267, 14103, 267, 2312, 318, 16059, 454, 5814, 4351, 454, 5814, 942, 692, 258, 10794, 4790, 1218, 692, 4629, 16703, 11434, 815, 476, 277, 454, 4596, 299, 9331, 10064, 825, 815, 476, 278, 692, 18444, 4488, 292, 318, 301, 24535, 815, 1412, 1412, 454, 18444, 4488, 292, 318, 24535, 476, 815, 1412, 343, 7055, 18444, 4488, 292, 318, 307, 310, 302, 476, 815, 1412, 334, 28847, 18444, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 815, 13634, 825, 28697, 4488, 292, 318, 301, 24535, 2433, 1412, 19009, 22779, 825, 28697, 4488, 292, 318, 24535, 476, 2433, 1412, 18872, 22779, 825, 28697, 4488, 292, 318, 307, 310, 302, 476, 2433, 1412, 1042, 22779, 10926, 14888, 3918, 290, 16739, 815, 27210, 825, 11196, 272, 267, 910, 272, 1070, 11196, 272, 267, 476, 271, 1070, 11196, 272, 267, 476, 272, 13211, 825, 630, 476, 271, 267, 910, 272, 1070, 16875, 630, 476, 271, 267, 476, 272, 13211, 825, 630, 476, 272, 267, 910, 272, 1070, 630, 476, 272, 267, 476, 271, 1070, 630, 476, 272, 267, 476, 272, 13211, 2020, 258, 8274, 12793, 692, 3698, 1711, 318, 4580, 263, 4900, 284, 4629, 16703, 267, 9587, 284, 4596, 299, 9331, 10064, 2187, 825, 15981, 6282, 525, 8900, 4045, 476, 275, 4604, 23288, 825, 4604, 815, 29129, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 4604, 32284, 815, 11713, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 4604, 32284, 6910, 263, 18444, 4488, 292, 318, 301, 24535, 994, 1038, 4604, 6910, 29033, 32284, 2020, 825, 2132, 4604, 692, 476, 1948, 25767, 4604, 692, 3698, 5299, 318, 4580, 29033, 2187, 8587, 15981, 17776, 513, 5299, 540, 519, 4604, 23288, 8587, 9343, 825, 815, 7003, 29033, 994, 8587, 9587, 815, 7003, 29033, 314, 271, 7481, 8587, 23652, 476, 815, 1711, 318, 4580, 263, 4900, 267, 9587, 2020, 8587, 585, 4737, 538, 2039, 263, 4900, 2187, 16875, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 23526, 23652, 314, 992, 6012, 26383, 316, 815, 4604, 314, 992, 6012, 26383, 2639, 8587, 2132, 23652, 692, 3698, 1820, 318, 4580, 29033, 2187, 825, 15981, 2398, 6493, 4045, 476, 275, 4604, 23288, 825, 585, 4737, 538, 4604, 912, 1038, 1820, 3488, 347, 262, 1341, 1412, 347, 8339, 21860, 21405, 264, 1341, 1412, 347, 17210, 3698, 6749, 7272, 19991, 29033, 267, 6241, 267, 4062, 2187, 825, 15981, 28055, 338, 547, 6749, 9138, 4062, 883, 519, 4604, 693, 519, 454, 825, 9138, 6241, 692, 825, 1403, 713, 7319, 12923, 267, 2132, 6936, 267, 6382, 2132, 8771, 563, 825, 15981, 692, 825, 585, 4737, 538, 20328, 29033, 2187, 1038, 952, 4737, 314, 26383, 316, 2652, 28697, 4488, 292, 318, 301, 24535, 912, 2018, 4737, 314, 26383, 316, 815, 4062, 454, 2018, 2132, 6936, 692, 825, 2132, 8771, 692, 3698, 1265, 318, 7773, 1676, 29033, 267, 3259, 284, 275, 2187, 825, 15981, 17776, 2436, 610, 711, 519, 4604, 814, 513, 16771, 15981, 692, 825, 9343, 825, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 20285, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 952, 4604, 314, 992, 6012, 26383, 316, 2652, 28697, 4488, 292, 318, 301, 24535, 912, 3546, 3136, 692, 2018, 952, 2638, 7272, 19991, 29033, 267, 4737, 267, 6241, 267, 3259, 2187, 3546, 2132, 4604, 314, 992, 6012, 26383, 6540, 825, 2132, 7183, 692, 3698, 2638, 7272, 19991, 29033, 267, 4737, 267, 6241, 267, 3259, 2187, 825, 15981, 17776, 2436, 610, 711, 972, 568, 513, 10888, 5311, 4358, 689, 454, 825, 713, 4062, 454, 825, 23288, 825, 9343, 825, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 20285, 825, 585, 1743, 267, 546, 322, 538, 14192, 3918, 290, 16739, 912, 1038, 1336, 318, 7773, 1676, 815, 6936, 692, 1038, 585, 1775, 538, 2039, 263, 272, 267, 3259, 2187, 2018, 678, 815, 4737, 1341, 1743, 265, 328, 454, 2018, 524, 815, 6241, 1341, 546, 322, 265, 328, 692, 2018, 952, 678, 711, 538, 2039, 263, 4900, 264, 610, 524, 711, 538, 2039, 263, 3712, 8435, 2187, 3546, 1336, 318, 7773, 1676, 815, 8771, 454, 3546, 2736, 692, 2018, 952, 4604, 314, 337, 6012, 322, 316, 11203, 4604, 314, 992, 6012, 26383, 14158, 3546, 1336, 318, 7773, 1676, 815, 8771, 454, 3546, 2736, 692, 1038, 952, 1336, 318, 7773, 1676, 912, 2018, 2132, 6936, 692, 825, 2132, 8771, 692, 258, 14103, 13478, 309, 294, 12793, 692, 3698, 4159, 318, 6255, 6447, 4433, 2187, 825, 15981, 18224, 5569, 607, 14103, 23288, 825, 4159, 263, 12487, 7876, 4433, 11723, 3698, 1711, 318, 4580, 5334, 341, 326, 29033, 267, 8953, 2187, 825, 15981, 17776, 25789, 294, 5569, 5627, 21370, 6041, 540, 4604, 15981, 692, 825, 9343, 672, 815, 7003, 29033, 994, 825, 9587, 476, 815, 7003, 29033, 314, 271, 7481, 825, 8006, 815, 476, 273, 265, 31709, 692, 825, 521, 341, 326, 476, 815, 1412, 283, 12364, 326, 4463, 6889, 24001, 257, 8700, 6889, 24001, 22969, 8339, 8971, 263, 4900, 265, 323, 3554, 2678, 267, 9587, 265, 323, 3554, 2678, 994, 825, 521, 341, 326, 6834, 1412, 283, 5550, 8700, 6889, 1911, 260, 257, 4463, 6889, 1911, 260, 257, 6445, 6889, 19990, 257, 270, 285, 28847, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 4062, 815, 4604, 314, 992, 6012, 26383, 2639, 2018, 2681, 815, 28697, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 314, 12328, 2639, 2018, 524, 343, 825, 815, 6241, 265, 323, 3554, 2678, 1341, 8953, 454, 2018, 2166, 825, 815, 4737, 265, 323, 3554, 2678, 1341, 8953, 454, 2018, 521, 341, 326, 6834, 1412, 283, 15132, 548, 524, 343, 6889, 24001, 257, 2166, 6889, 24001, 257, 678, 6889, 24001, 257, 6445, 6889, 24001, 257, 270, 285, 8339, 8971, 6262, 343, 267, 2166, 267, 8953, 29688, 4037, 267, 2681, 2020, 825, 521, 341, 326, 6834, 1412, 9572, 12364, 326, 285, 28847, 825, 2132, 521, 341, 326, 692, 825, 1219, 5274, 32156, 29033, 267, 1686, 267, 5716, 2187, 1038, 15981, 3367, 1847, 689, 1480, 6345, 23288, 1038, 9587, 815, 7003, 29033, 314, 271, 7481, 1038, 6241, 476, 815, 910, 272, 692, 825, 1247, 6241, 711, 538, 2039, 263, 271, 267, 9587, 2187, 1038, 6241, 815, 3403, 3488, 7617, 6241, 286, 1412, 2020, 825, 2132, 6241, 692, 3698, 15932, 32156, 29033, 267, 1686, 267, 5716, 2187, 825, 15981, 15932, 569, 2824, 513, 6241, 23288, 825, 9587, 815, 7003, 29033, 314, 271, 7481, 825, 2132, 4351, 27110, 263, 271, 267, 9587, 910, 476, 272, 2020, 825, 1948, 3794, 984, 1023, 692, 5522, 16558, 815, 630, 18444, 4488, 292, 318, 24535, 267, 28697, 4488, 292, 318, 307, 310, 302, 994, 14532, 815, 11713, 32317, 567, 815, 1711, 318, 4580, 4590, 20238, 3780, 476, 815, 476, 2412, 454, 310, 27903, 476, 815, 7183, 454, 307, 1845, 567, 815, 476, 271, 692, 258, 10794, 31230, 692, 6112, 711, 12736, 1676, 912, 825, 2490, 815, 7003, 263, 14532, 2020, 825, 952, 2490, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1847, 815, 5274, 32156, 16360, 13635, 267, 3778, 267, 24812, 264, 567, 1948, 26761, 2290, 454, 825, 3116, 912, 1038, 1847, 815, 15932, 32156, 16360, 13635, 267, 3778, 267, 24812, 264, 476, 1948, 26761, 5565, 692, 825, 952, 6749, 7272, 19991, 16360, 13635, 267, 1847, 267, 24812, 314, 339, 1248, 4939, 476, 273, 316, 2187, 1038, 570, 1845, 815, 476, 271, 454, 1038, 3778, 6910, 9852, 913, 2020, 825, 952, 570, 1845, 3436, 476, 274, 912, 1038, 1820, 3488, 32156, 15079, 568, 12758, 256, 8339, 8971, 9230, 339, 1248, 4939, 476, 273, 264, 1341, 476, 272, 4917, 1038, 2736, 692, 825, 2312, 318, 16059, 4590, 825, 4159, 318, 6255, 6447, 263, 22056, 318, 4580, 5334, 341, 326, 16360, 13635, 267, 7101, 3780, 11723, 825, 942, 4732, 2748, 263, 272, 2020, 825, 12736, 1676, 815, 1265, 318, 7773, 1676, 16360, 13635, 2020, 2745, 3488, 763, 12736, 1676, 568, 15079, 8339, 8971, 263, 18444, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 314, 310, 27903, 316, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 19523, 7531, 301, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 815, 476, 279, 454, 301, 9331, 318, 4629, 16703, 815, 476, 12553, 7531, 3698, 1224, 18316, 6600, 32327, 281, 1193, 267, 694, 335, 281, 1193, 815, 1412, 315, 333, 10807, 9847, 1592, 314, 1598, 14158, 825, 609, 1930, 6600, 32327, 267, 1412, 4135, 10807, 607, 535, 912, 1038, 1239, 815, 535, 18667, 14061, 20889, 263, 572, 335, 994, 1038, 2132, 1239, 7531, 3698, 1205, 19571, 4433, 281, 1193, 267, 562, 281, 1592, 27776, 3910, 7762, 318, 10420, 281, 1193, 267, 1283, 318, 10420, 281, 1193, 264, 9847, 703, 912, 825, 952, 7003, 4433, 264, 2652, 476, 271, 912, 1038, 7682, 7003, 3799, 264, 2652, 476, 272, 454, 1038, 2132, 562, 314, 271, 2639, 825, 3116, 912, 1038, 3368, 318, 6352, 815, 7003, 3799, 264, 12262, 476, 273, 454, 1038, 952, 521, 314, 271, 316, 2652, 7762, 318, 10420, 912, 2018, 562, 815, 562, 11468, 327, 2788, 318, 6352, 2639, 2018, 2132, 1205, 19571, 4433, 314, 272, 281, 3910, 562, 267, 7762, 318, 10420, 267, 1283, 318, 10420, 994, 1038, 8640, 521, 314, 271, 316, 2652, 1283, 318, 10420, 912, 2018, 562, 815, 562, 314, 327, 2788, 318, 6352, 281, 2639, 2018, 2132, 1205, 19571, 4433, 314, 272, 281, 3910, 562, 267, 7762, 318, 10420, 267, 1283, 318, 10420, 994, 1038, 3116, 912, 2018, 1820, 6600, 257, 310, 3994, 1915, 281, 2715, 338, 314, 271, 316, 348, 5602, 2018, 7682, 8771, 692, 3698, 1612, 572, 26000, 520, 19571, 4433, 281, 1193, 264, 9847, 703, 912, 825, 678, 815, 1205, 19571, 4433, 11468, 268, 274, 3910, 2039, 18217, 9331, 318, 4629, 16703, 1070, 476, 7762, 318, 10420, 8782, 293, 3299, 1283, 318, 10420, 8782, 289, 5073, 825, 524, 815, 1205, 19571, 4433, 15631, 274, 281, 3910, 2039, 18217, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 1070, 7762, 318, 10420, 8782, 299, 3299, 1283, 318, 10420, 8782, 305, 5073, 825, 2132, 678, 2608, 715, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 1341, 524, 7531, 3698, 4161, 272, 10857, 281, 1592, 314, 1598, 8079, 9847, 703, 912, 825, 2132, 3193, 9852, 777, 263, 27785, 26000, 520, 19571, 267, 561, 264, 9239, 3698, 4161, 273, 10857, 281, 1592, 314, 1598, 8079, 9847, 703, 912, 825, 10160, 318, 1749, 815, 1592, 9852, 777, 263, 27785, 26000, 520, 19571, 267, 561, 4917, 825, 10160, 318, 1749, 31699, 4590, 825, 585, 10160, 16182, 538, 10160, 318, 1749, 912, 1038, 952, 10160, 16182, 1341, 476, 272, 711, 538, 10160, 318, 1749, 543, 10160, 16182, 1341, 476, 273, 538, 10160, 318, 1749, 912, 2018, 2132, 10160, 16182, 1341, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 272, 912, 1038, 1820, 6600, 262, 5825, 720, 281, 2715, 338, 903, 27769, 341, 314, 271, 316, 348, 476, 2999, 6358, 285, 5073, 1038, 14827, 8987, 272, 2020, 825, 1820, 2891, 19203, 7420, 476, 272, 26905, 5602, 825, 1239, 281, 1592, 314, 1598, 316, 815, 1224, 18316, 4433, 903, 27769, 341, 314, 272, 7481, 825, 1820, 6600, 257, 299, 17999, 10160, 9517, 281, 2715, 577, 718, 3188, 272, 16597, 14587, 15419, 825, 1820, 2891, 19203, 7420, 476, 273, 26905, 5602, 825, 1820, 6600, 257, 7069, 1530, 520, 9517, 281, 2715, 577, 718, 3188, 273, 16597, 14587, 8442, 0, 3698, 9258, 6635, 337, 19906, 267, 1376, 267, 1439, 2187, 825, 1247, 263, 11034, 2999, 1439, 2187, 1038, 10917, 815, 2855, 314, 11034, 2639, 1038, 2855, 314, 11034, 316, 815, 2855, 314, 754, 2639, 1038, 2855, 314, 754, 316, 815, 10917, 454, 1038, 1376, 815, 1376, 1341, 476, 272, 454, 1038, 1439, 815, 1439, 910, 476, 272, 7531, 3698, 2451, 305, 582, 622, 26161, 19906, 267, 546, 2187, 825, 562, 815, 7003, 19906, 994, 825, 9258, 6635, 337, 19906, 267, 476, 271, 267, 546, 268, 272, 994, 825, 9258, 6635, 337, 19906, 267, 546, 267, 562, 268, 272, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 596, 267, 610, 7237, 513, 5493, 610, 26393, 585, 28162, 269, 1452, 666, 7444, 1020, 543, 6157, 786, 2253, 547, 13468, 519, 19048, 3034, 1103, 1082, 2665, 267, 513, 1072, 1416, 3318, 949, 21559, 31520, 610, 1884, 1014, 3806, 5574, 952, 972, 616, 930, 824, 3208, 657, 762, 5626, 1533, 1966, 269, 32192, 616, 7192, 549, 842, 1238, 2388, 1596, 334, 3009, 2356, 1031, 538, 11100, 609, 2126, 563, 16908, 2511, 2242, 454, 7312, 10629, 949, 849, 23596, 5574, 19838, 8516, 267, 4708, 2853, 267, 543, 11009, 11044, 269, 0, 4131, 614, 589, 32274, 6096, 21584, 1107, 14594, 589, 32274, 6096, 21584, 616, 513, 3730, 4199, 547, 1205, 3180, 540, 707, 13002, 547, 948, 596, 2259, 13002, 269, 901, 476, 2767, 268, 19986, 2985, 2123, 2987, 7672, 3640, 568, 10375, 547, 1491, 2059, 16382, 596, 979, 269, 898, 786, 581, 2653, 547, 960, 593, 707, 960, 11380, 610, 1256, 538, 606, 10081, 610, 538, 519, 8484, 676, 1210, 621, 269, 1452, 11207, 1863, 7792, 9904, 9212, 616, 1655, 585, 13002, 2259, 2523, 563, 763, 14594, 589, 32274, 6096, 21584, 5161, 540, 1585, 11791, 2238, 269, 1635, 8795, 519, 1297, 540, 5022, 8795, 543, 1031, 519, 7990, 532, 538, 519, 5022, 267, 1453, 616, 16271, 547, 1007, 15437, 267, 10643, 267, 4667, 267, 543, 2165, 2035, 269, 634, 2238, 538, 519, 4976, 10069, 1125, 3309, 2127, 540, 519, 1126, 779, 1480, 2634, 267, 3056, 547, 4824, 1620, 5759, 563, 2791, 666, 849, 8415, 519, 3211, 547, 948, 707, 5067, 610, 8250, 1265, 519, 9904, 543, 1265, 856, 4909, 21089, 269, 1280, 1383, 267, 950, 596, 4001, 707, 1126, 875, 547, 2161, 519, 2165, 2048, 27594, 685, 1818, 946, 540, 519, 4976, 543, 930, 12015, 856, 1205, 7759, 540, 3349, 267, 596, 786, 1205, 1864, 547, 7485, 519, 5022, 689, 6854, 547, 1318, 676, 1210, 513, 3819, 9004, 15262, 267, 1287, 513, 3280, 267, 543, 1310, 602, 5116, 519, 3349, 856, 269, 1306, 646, 8942, 713, 1586, 267, 646, 786, 723, 27058, 875, 547, 10956, 519, 2262, 7157, 269, 22843, 16439, 568, 19278, 543, 786, 5351, 707, 1126, 547, 1205, 3054, 513, 7914, 1376, 538, 1153, 269, 1924, 267, 2436, 596, 616, 2866, 873, 547, 17492, 610, 1224, 998, 267, 946, 3819, 9004, 4604, 543, 27642, 9904, 9212, 547, 5351, 707, 1762, 3283, 1451, 513, 1007, 9904, 563, 4131, 614, 589, 32274, 6096, 21584, 1331, 1585, 3078, 3635, 13467, 547, 5351, 1453, 609, 12423, 875, 547, 11963, 269, 1635, 2324, 538, 1022, 1259, 1114, 9832, 267, 789, 786, 1020, 13093, 2438, 6284, 267, 3750, 3620, 1343, 11558, 267, 543, 10259, 3965, 269, 23560, 960, 693, 3982, 2053, 540, 519, 1554, 547, 2407, 891, 2238, 786, 4217, 873, 960, 693, 741, 1378, 2557, 269, 1452, 616, 519, 4998, 13344, 547, 2285, 547, 1053, 945, 2154, 3606, 948, 609, 741, 1382, 269, 0, 1432, 3657, 519, 10548, 5874, 540, 966, 8388, 1944, 888, 1432, 779, 966, 12686, 286, 634, 2243, 949, 3100, 28457, 748, 269, 1215, 666, 4896, 917, 1360, 1134, 1018, 568, 968, 332, 2814, 892, 8164, 972, 616, 1100, 2854, 5638, 286, 8616, 267, 11570, 723, 1279, 1634, 602, 623, 4428, 4446, 789, 798, 2965, 13236, 22643, 832, 950, 789, 8673, 13189, 267, 2436, 610, 711, 789, 917, 621, 610, 711, 269, 2368, 945, 616, 3978, 827, 741, 16906, 7296, 543, 2119, 547, 16718, 1419, 3605, 602, 789, 666, 711, 16718, 4411, 21429, 269, 12344, 519, 2601, 585, 519, 2601, 1373, 789, 723, 4362, 1018, 568, 11517, 1944, 543, 723, 1336, 856, 875, 547, 30712, 621, 563, 2304, 5907, 16906, 568, 2965, 606, 5122, 3926, 799, 18187, 919, 1210, 10269, 1369, 606, 5907, 1259, 269, 898, 10416, 2882, 513, 1507, 5907, 6007, 267, 606, 4835, 1379, 2707, 971, 607, 513, 22507, 762, 6007, 267, 543, 606, 5007, 8708, 971, 607, 513, 7382, 610, 7047, 16466, 269, 5502, 540, 8673, 267, 606, 1367, 1152, 11375, 2297, 22643, 832, 269, 769, 713, 1259, 267, 642, 16747, 616, 1419, 4330, 607, 968, 523, 331, 20149, 9641, 6100, 1306, 519, 9641, 616, 711, 2800, 539, 676, 519, 7274, 540, 11517, 31067, 267, 642, 3639, 1419, 17551, 602, 741, 9641, 798, 711, 7985, 689, 519, 4539, 540, 15522, 693, 782, 563, 2791, 666, 1265, 1079, 2010, 540, 3167, 13189, 267, 5907, 524, 580, 541, 2347, 269, 3962, 2186, 814, 922, 1378, 10058, 7907, 267, 855, 1312, 946, 519, 1482, 8022, 3693, 547, 3002, 909, 519, 1570, 267, 2356, 519, 512, 1653, 610, 530, 1157, 267, 1318, 883, 513, 5277, 1533, 267, 799, 568, 1287, 647, 22486, 883, 519, 9641, 3842, 519, 5023, 12328, 269, 1323, 1367, 5907, 16906, 1522, 581, 726, 28289, 883, 606, 17752, 267, 799, 1131, 4196, 547, 3002, 909, 519, 530, 1157, 543, 1711, 519, 11517, 585, 606, 1367, 547, 11375, 1446, 563, 1607, 4667, 5176, 519, 1482, 607, 519, 1259, 602, 21596, 3824, 652, 2834, 13189, 267, 855, 972, 568, 513, 2101, 3017, 269, 634, 11517, 689, 519, 2834, 16906, 568, 513, 4999, 540, 3327, 8166, 543, 13545, 267, 799, 1205, 12842, 883, 519, 15137, 518, 779, 9641, 950, 789, 1491, 513, 25858, 269, 1717, 267, 8164, 513, 642, 1653, 3217, 538, 513, 11517, 267, 621, 1281, 711, 2270, 891, 6878, 269, 1548, 779, 1373, 3812, 3079, 568, 513, 6219, 602, 1034, 1131, 4766, 607, 968, 16867, 5608, 855, 799, 1082, 2015, 547, 581, 968, 7224, 1047, 1848, 966, 12686, 786, 711, 2014, 5761, 2860, 267, 607, 1454, 10269, 3755, 917, 267, 855, 621, 666, 2014, 513, 2647, 5044, 540, 824, 7929, 2042, 543, 2589, 267, 1519, 689, 15319, 31462, 1846, 547, 7411, 7244, 547, 900, 19148, 572, 2742, 543, 5312, 32583, 563, 4407, 972, 616, 513, 1906, 1072, 4220, 2404, 609, 1018, 616, 519, 1072, 2360, 540, 7296, 267, 1454, 811, 3978, 6937, 2291, 1210, 1018, 616, 519, 2360, 540, 22643, 832, 269, 5221, 1082, 642, 3639, 2356, 798, 711, 11375, 1446, 519, 8673, 3812, 676, 519, 8022, 3693, 267, 789, 1810, 1406, 3132, 15522, 267, 835, 540, 519, 1034, 22925, 6878, 602, 596, 666, 4444, 269, 5221, 15522, 568, 3810, 22925, 267, 621, 2731, 568, 2352, 547, 936, 8063, 267, 2523, 538, 2474, 540, 875, 1279, 513, 1268, 786, 581, 29279, 547, 621, 267, 602, 949, 2039, 689, 1175, 513, 7008, 8090, 547, 1896, 1296, 610, 5756, 1759, 593, 741, 1808, 6219, 540, 13283, 563, 14738, 1631, 267, 621, 11129, 547, 581, 1455, 1702, 602, 798, 596, 917, 519, 12178, 540, 11517, 1944, 1331, 689, 26032, 540, 7362, 547, 4049, 5761, 3441, 538, 2043, 945, 798, 711, 16718, 7296, 269, 7043, 2165, 946, 540, 1018, 616, 519, 2360, 540, 29738, 949, 849, 2014, 4049, 2790, 1072, 2042, 538, 2043, 945, 4076, 1044, 5230, 21596, 585, 513, 1279, 942, 610, 5756, 269, 12832, 13534, 568, 3810, 6757, 267, 799, 1797, 602, 621, 666, 3362, 4283, 519, 18072, 998, 707, 2960, 610, 29935, 17011, 269, 901, 1522, 2014, 2042, 971, 607, 585, 1383, 2295, 6285, 610, 18116, 267, 799, 6941, 1946, 621, 568, 5393, 1271, 547, 16718, 7296, 952, 596, 20053, 547, 946, 1018, 616, 519, 2360, 540, 11517, 1944, 269, 634, 12178, 540, 519, 8213, 8831, 3564, 519, 1808, 9641, 543, 883, 519, 2634, 607, 1134, 267, 4929, 3388, 689, 7646, 4160, 547, 4965, 547, 4049, 7209, 4713, 563, 12234, 621, 568, 7543, 547, 30391, 519, 1198, 602, 1018, 616, 519, 2360, 540, 29655, 786, 723, 593, 606, 1367, 779, 23129, 269, 1403, 596, 941, 547, 3247, 7296, 267, 596, 1131, 2693, 723, 547, 5372, 707, 13189, 267, 799, 666, 2097, 2066, 1896, 4627, 9489, 829, 3923, 269, 4634, 952, 596, 616, 2111, 547, 3247, 693, 519, 1376, 543, 1152, 946, 1018, 616, 519, 2360, 540, 29655, 547, 1205, 13189, 267, 7363, 621, 3217, 3275, 540, 1210, 1018, 616, 519, 2360, 540, 29655, 547, 973, 19281, 1022, 13075, 9271, 596, 1223, 723, 30309, 269, 1306, 1134, 607, 519, 1942, 540, 13189, 267, 1039, 527, 819, 958, 972, 568, 519, 13258, 540, 519, 7164, 1072, 2360, 540, 29655, 267, 799, 596, 786, 723, 547, 2628, 585, 856, 540, 17927, 1354, 596, 16718, 7296, 563, 1432, 616, 519, 2360, 540, 29738, 286, 2290, 540, 519, 1292, 12178, 540, 1018, 616, 519, 29298, 540, 11517, 1944, 568, 602, 621, 1223, 4482, 19920, 547, 519, 6429, 269, 8479, 1004, 1419, 1265, 621, 4443, 547, 4603, 609, 6878, 971, 607, 1018, 616, 519, 29298, 540, 11517, 1944, 1317, 621, 3884, 1406, 865, 2653, 547, 2285, 909, 13189, 269, 1280, 3236, 267, 4758, 909, 13189, 547, 1205, 1164, 786, 2760, 581, 607, 2352, 607, 4758, 909, 14614, 1402, 267, 855, 621, 568, 1454, 4443, 547, 16718, 519, 8914, 982, 621, 568, 547, 3489, 1164, 689, 1945, 607, 2922, 607, 798, 596, 917, 519, 2360, 540, 7296, 269, 1703, 568, 11613, 1100, 2601, 602, 1762, 1004, 1058, 4603, 609, 3688, 602, 616, 865, 5732, 5906, 952, 789, 798, 711, 723, 547, 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 ]
[ 2039, 3799, 2187, 1038, 1948, 1205, 1535, 267, 530, 267, 536, 585, 1142, 4494, 454, 1038, 952, 13797, 2652, 476, 271, 912, 2018, 31575, 13448, 815, 16948, 17750, 318, 19066, 454, 1038, 3116, 912, 2018, 31575, 13448, 815, 16948, 19056, 314, 4512, 268, 272, 2639, 1038, 31575, 318, 7076, 815, 16948, 318, 7076, 314, 4512, 2639, 1038, 31575, 10734, 5362, 815, 16948, 10734, 5362, 314, 4512, 2639, 1038, 1948, 586, 815, 535, 26028, 343, 17070, 994, 1038, 1948, 519, 3977, 4494, 568, 2571, 10946, 4494, 454, 1038, 952, 13797, 2999, 562, 268, 272, 912, 2018, 16948, 19056, 314, 4512, 316, 815, 11852, 6958, 4233, 6025, 5404, 13448, 267, 31575, 318, 7076, 267, 31575, 10734, 5362, 994, 1038, 3116, 912, 2018, 16948, 19056, 314, 4512, 316, 815, 3977, 6958, 4233, 6025, 5404, 13448, 267, 31575, 318, 7076, 267, 31575, 10734, 5362, 994, 825, 2132, 16948, 19056, 19559, 268, 272, 6540, 454, 3698, 2530, 6958, 15635, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 1948, 513, 4737, 6152, 568, 513, 4062, 540, 1239, 454, 825, 1948, 16948, 318, 1002, 825, 2433, 567, 1496, 271, 269, 272, 267, 476, 271, 269, 273, 267, 10371, 1421, 476, 271, 269, 272, 2639, 825, 1948, 16948, 4671, 4902, 567, 2433, 567, 1496, 476, 271, 267, 567, 476, 272, 267, 476, 10371, 1421, 476, 476, 271, 23378, 825, 1948, 519, 2040, 540, 513, 4737, 6152, 568, 476, 272, 269, 271, 454, 825, 1948, 5173, 519, 2530, 540, 519, 2898, 1239, 267, 2132, 2530, 543, 3328, 2530, 454, 825, 2132, 5286, 27904, 18828, 4877, 1077, 9230, 1706, 320, 318, 1002, 910, 16948, 4671, 4902, 1070, 476, 273, 264, 2608, 476, 271, 269, 276, 9239, 3698, 1394, 335, 1886, 698, 566, 263, 1706, 320, 318, 7076, 267, 16948, 10734, 5362, 267, 16948, 19056, 267, 16948, 4671, 4902, 267, 16948, 17750, 318, 19066, 2676, 7386, 16948, 318, 9508, 284, 271, 269, 4905, 267, 11852, 6958, 4233, 284, 338, 31451, 267, 2530, 6958, 4233, 284, 29754, 6958, 15635, 2187, 825, 562, 815, 7003, 263, 1706, 320, 318, 7076, 269, 12399, 28829, 476, 1948, 1205, 1297, 540, 6106, 454, 825, 1948, 519, 3977, 4494, 454, 825, 1948, 519, 8174, 566, 540, 2530, 1599, 454, 825, 952, 2530, 6958, 4233, 11203, 2530, 6958, 15635, 912, 1038, 1948, 1205, 519, 8174, 566, 540, 2530, 1599, 799, 596, 1305, 563, 1038, 1948, 5470, 21591, 1038, 1820, 3488, 31711, 707, 1378, 8174, 566, 540, 2530, 1599, 5073, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 5470, 815, 16948, 19056, 19559, 268, 272, 316, 268, 1706, 320, 4671, 4902, 11434, 1948, 6241, 6152, 454, 825, 16948, 318, 7076, 19559, 268, 272, 316, 20699, 16948, 318, 9508, 2608, 5470, 2608, 16948, 19056, 19559, 268, 273, 4940, 307, 454, 825, 16948, 10734, 5362, 19559, 268, 272, 316, 20699, 16948, 318, 9508, 2608, 5470, 454, 825, 31575, 5091, 12265, 815, 630, 1706, 320, 318, 9508, 2608, 5470, 11053, 2608, 16948, 318, 7076, 19559, 268, 272, 316, 1040, 307, 692, 825, 1948, 519, 6456, 4494, 454, 825, 1948, 519, 8174, 566, 540, 11852, 1599, 454, 825, 952, 11852, 6958, 4233, 2652, 521, 31451, 912, 1038, 1219, 13506, 263, 1706, 320, 318, 1706, 320, 13448, 2187, 2018, 2132, 5286, 6230, 738, 17586, 263, 1706, 320, 318, 1706, 320, 13448, 267, 630, 272, 910, 16948, 318, 1706, 320, 13448, 4917, 825, 8640, 11852, 6958, 4233, 2652, 882, 340, 912, 1038, 13506, 815, 835, 318, 523, 13892, 454, 825, 3116, 912, 1038, 1948, 1205, 519, 8174, 566, 540, 11852, 1599, 799, 596, 1305, 454, 1038, 1948, 13506, 21591, 1038, 1820, 3488, 31711, 707, 1378, 8174, 566, 540, 11852, 1599, 5073, 1038, 2132, 7183, 692, 825, 585, 13797, 538, 2039, 3799, 268, 272, 264, 11468, 18737, 272, 14158, 1038, 31575, 5091, 12265, 815, 5286, 6230, 738, 17586, 14116, 2784, 1304, 263, 1706, 320, 19056, 314, 4512, 25818, 31575, 5091, 12265, 994, 1038, 952, 13797, 2652, 476, 271, 912, 2018, 1948, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 16948, 17750, 318, 19066, 2608, 31575, 5091, 12265, 11053, 454, 2018, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 2608, 16948, 17750, 318, 19066, 11053, 454, 1038, 3116, 912, 2018, 1948, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 16948, 19056, 314, 4512, 268, 272, 316, 2608, 31575, 5091, 12265, 11053, 454, 2018, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 2608, 16948, 19056, 314, 4512, 268, 272, 4940, 307, 454, 1038, 16948, 10734, 5362, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 454, 1038, 31575, 5091, 12265, 815, 16948, 318, 9508, 2608, 630, 339, 5404, 5091, 12265, 11053, 2608, 16948, 318, 7076, 314, 4512, 316, 1040, 307, 454, 825, 2132, 16948, 318, 7076, 267, 16948, 10734, 5362, 7531, 3698, 568, 4671, 4902, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 952, 5286, 27769, 10946, 263, 1706, 320, 318, 1002, 264, 2652, 5286, 27769, 10946, 263, 1706, 320, 4671, 4902, 2187, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 476, 271, 7531, 3698, 6111, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 3020, 19571, 815, 476, 271, 454, 825, 31575, 815, 476, 271, 454, 825, 585, 13797, 538, 2039, 12759, 263, 1706, 320, 318, 1002, 15892, 1038, 952, 5286, 27769, 10946, 263, 1706, 320, 318, 1002, 314, 4512, 8079, 2652, 5286, 27769, 10946, 263, 1706, 320, 4671, 4902, 314, 4512, 316, 2187, 2018, 3020, 19571, 6834, 476, 272, 454, 1038, 31575, 6834, 568, 4671, 4902, 263, 1706, 320, 318, 1002, 314, 4512, 3910, 16948, 4671, 4902, 314, 4512, 7481, 825, 1820, 6025, 5404, 994, 825, 2132, 3020, 19571, 1315, 7003, 263, 1706, 320, 318, 1002, 994, 258, 815, 25275, 25275, 13117, 4499, 2525, 284, 7531, 12803, 815, 19073, 18667, 32269, 3488, 299, 8475, 539, 318, 10574, 318, 275, 743, 338, 318, 1911, 27406, 5073, 30221, 14729, 815, 835, 318, 14653, 31526, 9131, 16932, 262, 4940, 11161, 267, 3977, 15481, 994, 30221, 13448, 815, 5286, 269, 3901, 31526, 6155, 1886, 3488, 16932, 3299, 7852, 284, 272, 11723, 258, 2450, 8217, 815, 1496, 6358, 15481, 267, 6456, 272, 15481, 267, 6456, 273, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 21653, 8217, 815, 1496, 6358, 15481, 267, 6456, 273, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 258, 2450, 8217, 815, 1496, 6358, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 7076, 815, 9598, 4590, 321, 5362, 815, 9598, 4590, 339, 5404, 19056, 815, 9598, 4590, 1721, 1775, 538, 2039, 10857, 9707, 5332, 2187, 825, 2597, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 2450, 8217, 5157, 28413, 825, 9186, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 476, 272, 4917, 825, 31575, 19056, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 476, 272, 11723, 11907, 5332, 815, 7003, 6025, 1778, 14729, 994, 1721, 22184, 10983, 538, 2039, 263, 788, 5255, 5332, 2187, 825, 2530, 815, 476, 271, 454, 825, 2040, 4671, 4902, 815, 476, 271, 454, 825, 585, 13797, 538, 2039, 16597, 5332, 2187, 1038, 1535, 4671, 5404, 815, 5721, 13448, 314, 4512, 4940, 307, 454, 1038, 586, 4671, 5404, 815, 5721, 14729, 314, 4512, 4940, 307, 454, 1038, 11058, 14729, 815, 3049, 3453, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 1535, 4671, 5404, 994, 1038, 1394, 335, 1886, 698, 566, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 586, 4671, 5404, 267, 1535, 4671, 5404, 267, 16948, 318, 9508, 284, 14048, 318, 3433, 994, 1038, 2530, 6834, 2530, 6958, 15635, 263, 1002, 14729, 267, 586, 4671, 5404, 994, 1038, 2040, 4671, 4902, 6834, 568, 4671, 4902, 263, 1002, 14729, 267, 586, 4671, 5404, 994, 825, 952, 22184, 10983, 4939, 476, 736, 2652, 476, 271, 912, 1038, 1820, 3488, 788, 5255, 10983, 2433, 3299, 22184, 10983, 994, 1038, 1820, 3488, 29754, 2433, 3299, 2530, 994, 1038, 1820, 3488, 320, 2071, 6111, 2433, 3299, 2040, 4671, 4902, 7933, 1092, 5332, 2020, 2745, 3488, 335, 9438, 782, 1239, 281, 30386, 1002, 15305, 815, 5286, 269, 3901, 18828, 269, 2158, 8443, 6352, 6025, 1778, 14729, 1070, 3977, 15481, 28413, 1721, 13797, 538, 2039, 12759, 6025, 1778, 14729, 15892, 825, 11058, 15305, 314, 4512, 316, 815, 3049, 3453, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 5721, 13448, 314, 4512, 4940, 307, 1040, 307, 454, 2745, 263, 3147, 5596, 263, 1002, 15305, 267, 5721, 14729, 4297, 0, 3698, 4017, 3799, 2187, 825, 952, 562, 2652, 476, 271, 610, 562, 2652, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 4017, 3799, 910, 476, 272, 264, 1341, 4017, 3799, 910, 273, 9239, 3698, 1292, 10031, 825, 5727, 12916, 379, 17958, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 8147, 418, 365, 480, 24731, 419, 366, 378, 419, 350, 362, 28996, 476, 271, 269, 1822, 4905, 476, 7511, 421, 375, 482, 19404, 495, 26166, 31176, 366, 12255, 12163, 825, 513, 815, 4017, 263, 866, 994, 825, 536, 815, 4017, 263, 1240, 2020, 825, 20735, 815, 536, 1315, 513, 22562, 825, 1820, 2891, 10065, 276, 325, 257, 4939, 20735, 994, 825, 1948, 1820, 5416, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 4067, 815, 3403, 2891, 1432, 568, 707, 2012, 2433, 19515, 720, 815, 703, 9272, 2891, 1432, 568, 707, 2085, 2433, 834, 11723, 604, 2012, 543, 2085, 912, 825, 952, 476, 1240, 10922, 2085, 2999, 476, 4029, 912, 1038, 1820, 2891, 2791, 616, 4847, 547, 979, 585, 476, 1240, 268, 1789, 14812, 5602, 825, 3116, 912, 1038, 1820, 2891, 19013, 596, 616, 711, 4847, 547, 979, 585, 476, 1240, 268, 1789, 14812, 5602, 12828, 912, 825, 1820, 2891, 2791, 10093, 1405, 679, 564, 1229, 782, 1344, 8442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2818, 899, 11511, 9429, 838, 25973, 630, 292, 25045, 12643, 807, 1583, 335, 839, 264, 543, 8891, 1399, 838, 25973, 630, 292, 25045, 12643, 807, 890, 15200, 1916, 6624, 7031, 666, 581, 1102, 6479, 676, 891, 838, 25973, 18047, 267, 1519, 4054, 267, 10448, 2371, 267, 15989, 32005, 267, 543, 8708, 2371, 543, 25798, 4677, 15135, 563, 8967, 582, 1540, 1975, 25973, 814, 513, 5144, 344, 18682, 602, 666, 581, 20715, 547, 2831, 543, 3425, 543, 666, 2014, 606, 8886, 908, 16420, 952, 621, 4991, 593, 707, 2960, 267, 865, 621, 568, 1655, 14284, 1256, 950, 2324, 547, 2312, 621, 689, 707, 4677, 563, 8489, 543, 1215, 20128, 1540, 1975, 25973, 717, 4900, 454, 763, 20128, 1540, 1975, 25973, 568, 513, 1212, 9429, 267, 605, 1598, 622, 2030, 602, 814, 513, 12402, 547, 3262, 856, 2072, 267, 8720, 606, 1858, 609, 922, 2371, 538, 2370, 942, 693, 782, 563, 8967, 582, 1540, 838, 25973, 568, 513, 4832, 32704, 1359, 267, 5993, 2030, 602, 3470, 1161, 1759, 593, 922, 1164, 6079, 2504, 267, 543, 3085, 1406, 798, 1134, 609, 6371, 610, 18290, 6735, 269, 589, 2582, 838, 25973, 18290, 949, 3132, 1082, 5215, 540, 5452, 267, 799, 616, 6263, 543, 666, 2611, 26862, 538, 519, 3037, 2394, 519, 3617, 23286, 2175, 2291, 269, 14400, 23899, 5452, 616, 3728, 547, 10351, 3729, 267, 6466, 5162, 23899, 5452, 1491, 3476, 543, 2356, 1810, 1406, 17708, 339, 2394, 5614, 563, 8967, 582, 1540, 838, 25973, 568, 1034, 2693, 547, 10351, 3729, 538, 5210, 1063, 476, 4037, 4113, 543, 476, 5952, 4113, 18278, 267, 855, 17708, 1154, 666, 849, 4755, 1256, 538, 5210, 1524, 547, 476, 2568, 4113, 543, 909, 547, 476, 1911, 4113, 269, 2885, 1588, 2356, 4386, 689, 5988, 998, 5181, 267, 952, 972, 568, 6190, 7509, 2139, 563, 2005, 568, 849, 3461, 1107, 838, 25973, 5452, 602, 17708, 339, 2038, 538, 519, 5614, 950, 922, 16830, 1419, 2611, 19155, 2394, 519, 4365, 3587, 811, 5078, 585, 1646, 269, 1717, 267, 1317, 19481, 838, 25973, 849, 3340, 1769, 585, 23286, 267, 5452, 12630, 4514, 982, 476, 272, 270, 273, 10759, 798, 711, 17708, 339, 1134, 563, 8967, 582, 1540, 838, 25973, 666, 1332, 538, 1876, 985, 543, 824, 1930, 2127, 267, 3226, 1141, 32005, 568, 23661, 267, 543, 666, 1256, 1332, 538, 2427, 19769, 18015, 543, 7258, 9897, 563, 1692, 1411, 2052, 10576, 20128, 1540, 1975, 25973, 454, 8967, 582, 1540, 1975, 25973, 267, 899, 782, 824, 2818, 540, 519, 838, 25973, 1920, 267, 9428, 605, 1598, 622, 267, 799, 1797, 621, 19082, 3294, 6366, 2059, 519, 2666, 563, 2005, 814, 1507, 267, 4158, 3039, 3762, 602, 1332, 2059, 922, 11710, 267, 799, 616, 476, 272, 270, 279, 268, 272, 270, 273, 10759, 1279, 543, 476, 272, 270, 279, 10759, 2647, 269, 10705, 513, 1507, 267, 4158, 2699, 5544, 786, 1665, 519, 1647, 540, 519, 3762, 267, 543, 713, 568, 1141, 19481, 838, 25973, 4991, 922, 2012, 563, 8967, 582, 1540, 1975, 25973, 7472, 6263, 267, 11909, 880, 5810, 602, 596, 723, 547, 1205, 1360, 2673, 547, 1294, 538, 1022, 1469, 269, 634, 5810, 267, 11710, 267, 543, 3762, 616, 2356, 4988, 538, 1507, 24827, 563, 1692, 547, 17179, 20128, 1540, 1975, 25973, 3245, 2659, 962, 731, 454, 2467, 616, 1896, 1114, 2081, 547, 1205, 7759, 540, 19481, 838, 25973, 267, 1519, 17444, 621, 856, 676, 1688, 267, 1210, 606, 10786, 8336, 267, 610, 8720, 873, 609, 2312, 5068, 9212, 543, 15603, 873, 27106, 538, 519, 3141, 2394, 741, 5072, 5884, 1055, 4625, 563, 309, 807, 17667, 10613, 454, 763, 1101, 3364, 596, 1058, 2119, 950, 3478, 7759, 540, 513, 19481, 838, 25973, 23588, 538, 707, 13452, 568, 547, 7485, 519, 18047, 856, 676, 1688, 269, 1403, 596, 2461, 30190, 543, 666, 6952, 873, 2038, 267, 1354, 789, 6079, 267, 596, 1522, 581, 2111, 547, 4894, 519, 3003, 23588, 1510, 1022, 3114, 6304, 693, 782, 563, 6826, 2386, 547, 849, 946, 513, 554, 4141, 547, 1118, 2386, 602, 9039, 540, 741, 5452, 6529, 1472, 538, 707, 3037, 282, 3597, 4773, 2451, 936, 786, 17708, 339, 1007, 2371, 952, 2175, 616, 1318, 269, 4746, 267, 5957, 8825, 17309, 543, 1279, 19492, 1407, 950, 17444, 1022, 838, 25973, 856, 267, 1317, 621, 666, 2014, 606, 8886, 908, 2960, 16420, 602, 786, 1205, 593, 1022, 6534, 2960, 563, 5194, 5214, 1505, 568, 1572, 3859, 1436, 1107, 713, 568, 950, 596, 946, 519, 3002, 540, 519, 4832, 3141, 547, 6146, 18047, 2864, 982, 1210, 10786, 8336, 269, 15147, 707, 15989, 610, 4677, 1858, 609, 2312, 5068, 6656, 532, 267, 543, 4734, 621, 972, 585, 2185, 547, 3670, 4374, 1282, 519, 29224, 942, 540, 1032, 630, 17141, 4864, 1040, 634, 16290, 3002, 786, 5555, 6146, 1055, 1022, 18290, 5452, 538, 922, 22984, 267, 1519, 19481, 838, 25973, 563, 309, 807, 11906, 10613, 454, 2252, 596, 2461, 2469, 547, 946, 513, 3114, 10786, 8336, 547, 4308, 609, 707, 19481, 838, 25973, 23588, 267, 972, 616, 1079, 2010, 596, 666, 946, 1107, 840, 15041, 1120, 550, 543, 2022, 15041, 1120, 550, 563, 7093, 15041, 1120, 550, 568, 519, 18290, 20740, 547, 946, 952, 519, 838, 25973, 5452, 723, 711, 1185, 606, 4316, 547, 10351, 3729, 269, 589, 1434, 4781, 585, 513, 840, 15041, 1120, 550, 10786, 8336, 568, 623, 2240, 27326, 6513, 1284, 539, 16473, 518, 563, 8070, 15041, 1120, 550, 18290, 20740, 568, 1655, 950, 519, 5452, 723, 10351, 3990, 543, 519, 19481, 838, 25973, 568, 2938, 17708, 1154, 538, 707, 4677, 269, 2422, 606, 10786, 8336, 609, 9848, 874, 657, 622, 607, 606, 3742, 12146, 267, 971, 607, 519, 14424, 9539, 4149, 1511, 24517, 3433, 10786, 8336, 269, 1684, 711, 946, 513, 476, 273, 267, 275, 5937, 1759, 18290, 20740, 267, 607, 713, 786, 711, 581, 2500, 1996, 19481, 838, 25973, 563, 4692, 1411, 16473, 20128, 1540, 1975, 25973, 3245, 19663, 538, 2659, 962, 731, 888, 763, 1034, 1455, 1935, 547, 1852, 19481, 838, 25973, 267, 543, 824, 27513, 2471, 267, 568, 547, 2061, 873, 689, 3395, 538, 519, 1101, 1747, 267, 607, 16701, 21899, 891, 18047, 2899, 789, 723, 17708, 1540, 568, 5393, 2352, 269, 3680, 8744, 5452, 883, 4025, 1141, 789, 949, 711, 581, 10950, 676, 1210, 9544, 6079, 602, 568, 18290, 6954, 267, 607, 1134, 607, 796, 4186, 3133, 730, 9544, 6006, 563, 10303, 20128, 1540, 1975, 25973, 9428, 1655, 538, 2127, 609, 23661, 32005, 6371, 267, 513, 2635, 543, 5394, 15989, 786, 3247, 621, 689, 3478, 513, 9087, 1054, 1245, 538, 707, 18147, 269, 1411, 666, 849, 946, 10991, 610, 5214, 15273, 2583, 267, 1312, 540, 799, 616, 2500, 693, 5329, 838, 25973, 693, 15922, 676, 711, 3850, 7943, 547, 3914, 922, 5452, 563, 8967, 582, 1540, 838, 25973, 568, 513, 26240, 5652, 18290, 602, 666, 581, 2352, 547, 4894, 689, 707, 13452, 267, 855, 952, 596, 2461, 8348, 547, 2322, 538, 519, 942, 543, 4674, 621, 4465, 1406, 1491, 1279, 1354, 707, 15989, 568, 2312, 563, 2171, 4126, 713, 2376, 814, 5280, 596, 1451, 811, 827, 19481, 838, 25973, 543, 1018, 547, 798, 952, 621, 779, 3395, 538, 707, 13452, 267, 543, 602, 602, 676, 2542, 621, 596, 3580, 723, 1732, 1702, 540, 875, 547, 8396, 891, 18047, 865, 789, 1810, 1406, 1860, 707, 15989, 779, 5898, 610, 519, 1072, 1465, 540, 519, 1604, 563, 2252, 596, 2461, 1869, 711, 2386, 2436, 610, 711, 519, 18290, 568, 19481, 838, 25973, 267, 1491, 513, 1413, 693, 938, 8446, 4388, 1586, 269, 1656, 3314, 602, 6604, 568, 2141, 1732, 982, 8851, 256, 1684, 596, 723, 1022, 824, 2055, 827, 875, 547, 1205, 7759, 540, 19481, 838, 25973, 286, 2913, 721, 917, 2630, 256, 0, 20103, 476, 1691, 267, 476, 1960, 280, 268, 3807, 538, 942, 454, 1721, 519, 10476, 13693, 894, 6828, 5870, 593, 5412, 476, 1691, 543, 476, 1428, 267, 519, 2622, 454, 289, 1678, 814, 6537, 909, 4566, 547, 948, 519, 14913, 7489, 4182, 9156, 689, 454, 1492, 10782, 14700, 538, 513, 2540, 269, 1325, 2819, 513, 10554, 540, 1390, 4644, 2676, 1492, 12557, 540, 519, 595, 294, 5870, 3091, 606, 1271, 4316, 281, 621, 949, 581, 454, 4310, 607, 513, 8468, 547, 10131, 4566, 547, 948, 1732, 2232, 971, 2067, 12469, 454, 514, 519, 2104, 563, 8310, 3923, 781, 3126, 540, 17160, 3361, 476, 274, 269, 274, 18265, 546, 784, 538, 3441, 267, 543, 7166, 5176, 476, 7785, 1004, 269, 634, 22856, 11013, 539, 5722, 3844, 16899, 602, 616, 1753, 547, 476, 278, 2929, 1004, 269, 6168, 476, 20981, 267, 1822, 5321, 941, 8697, 610, 10032, 267, 543, 476, 31816, 3506, 543, 476, 4037, 10506, 543, 19190, 941, 25626, 2476, 267, 2687, 547, 1867, 676, 519, 19176, 11982, 543, 22798, 4886, 12080, 563, 2304, 1271, 851, 540, 713, 1223, 581, 1489, 585, 513, 6433, 6051, 2508, 602, 1131, 581, 2139, 547, 8804, 5989, 543, 17612, 14317, 5612, 1310, 1022, 971, 2680, 16427, 1767, 2622, 7813, 10476, 13474, 10615, 12448, 6008, 518, 454, 4517, 1175, 607, 6051, 689, 519, 5437, 17160, 729, 862, 9760, 267, 10476, 729, 10599, 1229, 1586, 713, 3923, 609, 8731, 1370, 658, 22856, 267, 6028, 811, 982, 476, 1911, 1004, 4666, 269, 2290, 2929, 1004, 616, 538, 991, 540, 6595, 5351, 269, 1912, 534, 19109, 932, 340, 784, 267, 513, 21621, 23070, 538, 2372, 836, 31436, 2967, 267, 5143, 519, 1715, 3840, 8648, 602, 476, 7742, 267, 1822, 1004, 538, 519, 11662, 941, 1869, 538, 991, 540, 6595, 1426, 269, 834, 763, 3510, 568, 1360, 2565, 689, 1631, 547, 1985, 4728, 267, 950, 646, 1985, 7693, 568, 4397, 2437, 646, 1767, 563, 5475, 519, 3355, 3126, 540, 17160, 267, 519, 2622, 7813, 9333, 809, 513, 4745, 5692, 547, 8524, 14796, 538, 519, 1614, 23698, 5734, 16899, 630, 5226, 836, 10222, 267, 774, 7699, 774, 1329, 670, 826, 543, 2372, 836, 21601, 264, 856, 540, 519, 5722, 4299, 3844, 16899, 269, 2622, 7813, 10476, 13474, 10615, 12448, 6008, 518, 729, 8678, 593, 519, 5692, 676, 13222, 689, 519, 7489, 4886, 7813, 267, 519, 3567, 7813, 585, 4139, 29046, 267, 519, 4139, 18966, 540, 519, 4414, 9061, 543, 4414, 595, 29266, 267, 519, 6167, 267, 543, 519, 3557, 7813, 540, 10476, 269, 634, 2319, 1558, 609, 519, 21621, 4658, 781, 8758, 21164, 540, 519, 1614, 16899, 267, 10272, 8697, 3506, 267, 5321, 267, 1072, 19190, 267, 12555, 1949, 267, 543, 14437, 547, 27142, 267, 543, 9763, 519, 10969, 566, 689, 519, 2011, 563, 1103, 3210, 547, 519, 14700, 267, 12448, 6008, 518, 814, 6069, 602, 519, 14232, 595, 294, 5870, 581, 1031, 547, 948, 20834, 1125, 6351, 547, 519, 2229, 585, 971, 2067, 12469, 269, 6008, 518, 814, 849, 13890, 2081, 519, 2622, 7813, 666, 948, 8804, 14317, 689, 519, 1699, 14700, 563, 17556, 518, 1767, 621, 568, 1631, 4742, 2312, 689, 3621, 2963, 593, 2916, 1689, 602, 10476, 786, 3136, 547, 7985, 971, 2621, 543, 602, 741, 8515, 568, 2693, 547, 1831, 3152, 563, 19285, 1131, 15974, 602, 649, 3343, 606, 6876, 693, 519, 595, 294, 5870, 602, 513, 2319, 540, 2229, 4966, 543, 22881, 22738, 513, 6006, 339, 1136, 3635, 2038, 538, 519, 4947, 1032, 267, 547, 1376, 4058, 585, 513, 2101, 1982, 540, 9541, 538, 513, 2039, 540, 2238, 630, 4148, 797, 6604, 267, 1216, 2359, 267, 2038, 9963, 267, 543, 17846, 264, 602, 1131, 948, 2061, 543, 2232, 2104, 971, 12469, 2437, 646, 5206, 538, 513, 4484, 547, 2558, 534, 2473, 10224, 717, 807, 267, 2212, 540, 519, 12080, 540, 12020, 543, 20971, 269, 834, 2304, 1271, 851, 540, 713, 1223, 581, 1489, 585, 513, 6433, 6051, 2508, 602, 1131, 581, 2139, 547, 8804, 5989, 543, 17612, 14317, 5612, 1310, 1022, 971, 2680, 4799, 17556, 518, 24298, 519, 2081, 543, 1797, 676, 799, 519, 2622, 7813, 666, 3533, 4217, 538, 519, 14317, 543, 16646, 4674, 269, 634, 7813, 814, 8815, 547, 946, 7482, 689, 513, 5892, 771, 321, 2720, 539, 5491, 547, 4217, 519, 3119, 3506, 543, 1453, 538, 519, 5722, 27876, 16899, 269, 634, 2724, 786, 581, 1031, 585, 4928, 7816, 543, 16646, 267, 4928, 11647, 267, 543, 3450, 11226, 543, 9499, 563, 13328, 7813, 1489, 585, 3441, 7816, 547, 12555, 543, 12775, 6703, 666, 581, 3177, 689, 796, 718, 11343, 543, 21045, 7482, 538, 519, 7054, 3419, 566, 29407, 5741, 538, 519, 16899, 540, 20707, 715, 836, 267, 2372, 836, 21601, 543, 2372, 836, 31436, 2967, 563, 4517, 547, 1489, 14317, 540, 6917, 1569, 9897, 267, 519, 3844, 16899, 616, 538, 519, 2990 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20904, 454, 763, 3811, 10380, 540, 2458, 2355, 1043, 536, 3326, 1841, 5956, 609, 22111, 4058, 543, 1620, 519, 1808, 4170, 540, 513, 4087, 269, 17291, 519, 1318, 4087, 568, 4105, 267, 4180, 602, 519, 536, 3326, 731, 5713, 922, 8825, 1599, 1510, 538, 30541, 1836, 791, 5338, 2834, 31355, 610, 3991, 7781, 3350, 269, 634, 2666, 2175, 267, 11895, 20848, 267, 543, 12775, 616, 2565, 9270, 269, 2755, 519, 10380, 1184, 3294, 1522, 2154, 26995, 267, 13307, 540, 519, 536, 3326, 731, 7271, 267, 543, 6368, 267, 2627, 11808, 267, 3318, 10380, 5849, 519, 536, 3326, 731, 3252, 5688, 958, 543, 26779, 16900, 609, 519, 4478, 1604, 269, 3958, 267, 621, 779, 1271, 547, 2015, 2436, 519, 536, 3326, 731, 3340, 4276, 547, 606, 5122, 2707, 610, 824, 1949, 267, 3226, 585, 519, 13128, 2010, 563, 14611, 5199, 540, 2458, 2355, 1043, 536, 3326, 1841, 267, 1247, 3622, 8766, 267, 568, 1898, 585, 741, 15325, 543, 5812, 2773, 269, 8617, 24422, 666, 948, 2697, 4191, 540, 5957, 267, 15309, 267, 610, 1761, 7344, 2152, 269, 1280, 8261, 536, 3326, 1841, 267, 10992, 519, 1327, 6362, 6127, 543, 1022, 3001, 2694, 666, 2061, 6727, 23659, 17313, 269, 4201, 11703, 536, 3326, 1841, 1522, 2154, 13350, 11974, 540, 741, 5907, 610, 17453, 1949, 269, 27686, 536, 3326, 1841, 267, 2523, 1346, 609, 12716, 26088, 267, 711, 1152, 10597, 741, 3308, 9029, 855, 849, 28863, 1996, 2825, 2188, 602, 666, 1291, 547, 21324, 269, 1635, 6220, 513, 6296, 5826, 8430, 267, 2950, 543, 21427, 666, 2327, 602, 891, 536, 3326, 1841, 2611, 606, 11972, 543, 2500, 3354, 4183, 538, 10821, 2127, 563, 22025, 1113, 12694, 543, 10298, 454, 12024, 1022, 5989, 3693, 267, 2458, 2355, 1043, 536, 3326, 1841, 616, 711, 1510, 741, 2591, 269, 2290, 1455, 6161, 568, 4180, 602, 7264, 543, 8436, 616, 5432, 609, 875, 519, 536, 3326, 1841, 7500, 267, 2523, 538, 2127, 1141, 741, 946, 1522, 581, 513, 3209, 1399, 269, 1703, 779, 513, 1761, 1981, 540, 6174, 21611, 609, 536, 3326, 1841, 602, 616, 30122, 6659, 267, 3056, 547, 3441, 610, 5945, 269, 769, 18002, 267, 519, 4028, 543, 796, 574, 6244, 539, 1569, 540, 3028, 6472, 666, 581, 513, 2339, 540, 1272, 543, 2669, 267, 543, 1022, 29840, 610, 8488, 538, 2458, 2355, 532, 519, 536, 3326, 1841, 666, 723, 3978, 6286, 269, 6271, 2009, 4161, 568, 519, 7344, 5957, 543, 15237, 610, 3441, 1813, 547, 5007, 2188, 267, 799, 666, 11904, 519, 536, 3326, 1841, 538, 6016, 762, 563, 11754, 7675, 891, 2591, 19329, 2146, 2069, 267, 2029, 267, 543, 2834, 5826, 269, 13068, 1129, 720, 543, 1857, 4656, 11044, 666, 581, 15747, 538, 5432, 1944, 7264, 609, 519, 536, 3326, 1841, 685, 5106, 267, 10893, 519, 1981, 540, 23139, 21611, 269, 23889, 536, 3326, 1841, 609, 6595, 3210, 1949, 5849, 789, 666, 581, 3533, 22485, 1282, 16839, 267, 3246, 796, 16442, 1229, 1569, 547, 6595, 6472, 269, 1306, 585, 7344, 2152, 267, 10115, 538, 1164, 7779, 536, 3326, 1841, 267, 20483, 676, 513, 11826, 5826, 6296, 267, 666, 3648, 2569, 519, 1981, 540, 29840, 269, 1280, 2127, 609, 7928, 3991, 7781, 3350, 267, 6220, 8596, 610, 32302, 666, 10332, 10256, 538, 1483, 6066, 267, 2417, 4227, 1761, 32657, 2355, 563, 17686, 2355, 1043, 536, 3326, 1841, 538, 10821, 2127, 2709, 513, 2189, 12760, 540, 3106, 267, 8112, 267, 543, 12716, 9029, 269, 1635, 1620, 741, 2934, 267, 2640, 267, 543, 1761, 2591, 267, 2950, 666, 10244, 741, 2407, 1761, 267, 2870, 10930, 543, 811, 18900, 16973, 269, 0, 763, 1101, 1900, 547, 1118, 2576, 12592, 547, 798, 741, 960, 568, 547, 1683, 873, 609, 3280, 5796, 269, 634, 3804, 540, 4758, 1434, 5796, 547, 606, 1367, 568, 547, 18663, 873, 547, 581, 1732, 607, 1480, 7919, 865, 789, 666, 1118, 519, 1158, 513, 1732, 1747, 547, 2661, 538, 1547, 4317, 960, 1281, 711, 1152, 7048, 593, 2724, 898, 849, 12346, 593, 5955, 267, 4687, 540, 8296, 267, 5009, 4708, 543, 5126, 269, 31802, 2501, 689, 5796, 269, 13295, 267, 8404, 814, 519, 1379, 547, 7369, 519, 1576, 540, 1686, 269, 4658, 949, 3262, 1434, 15884, 1472, 519, 1158, 676, 2870, 536, 22395, 540, 3280, 5796, 543, 7683, 13629, 873, 593, 1514, 2923, 267, 855, 31552, 873, 593, 1554, 547, 1554, 1272, 2306, 513, 5458, 3017, 269, 6764, 2391, 1697, 5796, 593, 3232, 1272, 814, 519, 1379, 547, 8300, 543, 1689, 513, 1268, 781, 1576, 538, 1272, 607, 519, 8797, 13508, 540, 1434, 5796, 3091, 1896, 5289, 543, 6848, 5383, 563, 9008, 540, 2985, 454, 321, 18847, 540, 2985, 0, 14240, 540, 4578, 715, 514, 10937, 454, 10574, 715, 514, 10937, 568, 606, 13016, 2165, 1419, 1031, 547, 4766, 606, 1367, 945, 19299, 11108, 1983, 538, 1239, 2079, 267, 1239, 12879, 267, 543, 1239, 14839, 269, 1452, 4966, 14133, 693, 2324, 609, 1804, 543, 1950, 14449, 267, 9001, 8579, 2645, 267, 5752, 4654, 267, 543, 3301, 547, 10625, 4030, 6456, 1369, 519, 1239, 269, 4578, 715, 514, 329, 553, 948, 3906, 1118, 1239, 12454, 3664, 676, 13321, 6151, 1344, 883, 3407, 267, 29829, 4987, 563, 763, 13093, 2045, 12332, 540, 968, 10574, 715, 514, 10937, 892, 568, 281, 270, 16659, 323, 19508, 339, 16745, 476, 16659, 333, 22688, 333, 390, 353, 16745, 270, 769, 519, 4139, 1912, 517, 2045, 22843, 630, 296, 5183, 1070, 621, 568, 281, 291, 1107, 1315, 323, 12458, 1107, 1315, 19508, 20081, 1107, 1315, 339, 12458, 1107, 1315, 16745, 21610, 1107, 1315, 333, 270, 296, 1107, 1315, 22688, 21610, 1107, 1315, 333, 32434, 1107, 1315, 390, 353, 12458, 1107, 1315, 16745, 13045, 268, 4578, 715, 514, 10937, 568, 606, 4359, 3760, 602, 24870, 538, 1239, 12642, 267, 13321, 6151, 1239, 883, 3407, 4030, 543, 1870, 4987, 563, 268, 898, 3091, 513, 2647, 2039, 540, 2934, 971, 607, 1239, 4393, 267, 14839, 267, 543, 3684, 1565, 267, 7175, 3755, 547, 1118, 5483, 3664, 543, 5397, 1870, 2208, 563, 268, 4578, 715, 514, 10937, 568, 2966, 585, 5698, 267, 4180, 602, 6887, 666, 3927, 960, 1927, 593, 3838, 3785, 267, 6908, 23164, 519, 1239, 2079, 1184, 543, 5807, 5647, 563, 27735, 540, 4578, 715, 514, 10937, 454, 763, 2165, 968, 10574, 715, 514, 10937, 892, 568, 1271, 538, 519, 7706, 540, 2029, 1317, 621, 4016, 547, 606, 1367, 609, 11108, 1983, 538, 22392, 267, 7421, 267, 543, 16208, 5318, 5666, 540, 1239, 563, 2026, 519, 1158, 5170, 547, 5352, 811, 1239, 982, 2479, 1354, 267, 519, 3747, 585, 891, 4966, 814, 2799, 28354, 1813, 547, 741, 2702, 547, 15407, 1239, 12454, 4030, 267, 1118, 5483, 3664, 267, 543, 1683, 3407, 3435, 547, 1950, 2042, 563, 10574, 715, 514, 329, 553, 4865, 513, 2178, 5748, 538, 7194, 267, 5752, 4654, 267, 543, 1239, 14839, 2645, 267, 7175, 873, 547, 521, 3424, 998, 1804, 14449, 543, 1349, 3407, 1344, 7561, 563, 4322, 4648, 2047, 3565, 547, 519, 1967, 540, 3906, 676, 26500, 6456, 3270, 267, 3466, 267, 543, 3255, 602, 5397, 2208, 267, 5647, 267, 543, 7580, 3206, 563, 10574, 715, 514, 10937, 4016, 547, 513, 3810, 9952, 1367, 609, 11108, 15334, 538, 7231, 609, 1804, 5666, 540, 1239, 267, 25935, 3407, 4030, 267, 543, 14139, 4359, 8579, 2553, 547, 3035, 1808, 1870, 3853, 267, 5397, 2208, 267, 543, 1683, 8013, 5413, 269, 4578, 715, 514, 329, 553, 723, 513, 2178, 5748, 538, 2780, 5752, 267, 1239, 14839, 267, 3684, 1565, 267, 543, 12642, 267, 7175, 873, 547, 24808, 1950, 1239, 3270, 543, 3466, 883, 17396, 543, 3362, 24669, 6386, 585, 3375, 24237, 563, 5445, 616, 1419, 3743, 585, 5883, 543, 7421, 5318, 12531, 540, 11295, 543, 13417, 19099, 1239, 267, 1247, 849, 1373, 740, 30794, 693, 2870, 543, 7598, 1239, 3631, 602, 7520, 10721, 2208, 543, 5647, 269, 634, 3119, 3483, 540, 513, 4578, 715, 514, 10937, 568, 547, 15407, 741, 6791, 547, 12260, 6456, 3255, 543, 11126, 10721, 2773, 1210, 519, 1379, 540, 1239, 563, 2414, 9585, 713, 267, 789, 8415, 741, 1983, 538, 1239, 840, 30112, 267, 4183, 4702, 267, 543, 2203, 2679, 543, 5542, 267, 547, 6038, 2981, 6151, 1239, 883, 29829, 4030, 269, 5015, 267, 789, 616, 7533, 538, 28043, 519, 7934, 1063, 2930, 543, 1875, 14482, 1013, 673, 6887, 267, 3927, 14379, 741, 4681, 543, 24758, 2930, 3822, 883, 6209, 1344, 602, 666, 5397, 7580, 3375, 6194, 563, 10574, 715, 514, 329, 553, 1404, 513, 4105, 1909, 538, 1585, 2872, 9922, 267, 8151, 689, 8804, 543, 3782, 547, 6725, 543, 10685, 267, 1141, 1239, 12454, 4030, 723, 1831, 7533, 547, 5571, 1967, 543, 6940, 563, 14300, 540, 4578, 715, 514, 10937, 454, 10574, 715, 514, 10937, 568, 711, 606, 4540, 610, 4922, 1634, 2029, 269, 1717, 267, 14322, 596, 5921, 513, 3810, 9952, 3318, 945, 1568, 609, 1239, 610, 606, 4274, 538, 519, 2361, 540, 1239, 12642, 267, 594, 666, 1683, 1614, 1483, 8996, 1806, 540, 1004, 1210, 4359, 1239, 12642, 538, 1585, 6080, 912, 10890, 3249, 281, 9869, 8558, 666, 2308, 1239, 4966, 547, 5659, 5318, 5666, 540, 3461, 1239, 547, 3589, 3461, 2115, 543, 1020, 10531, 5574, 269, 1280, 3236, 267, 2564, 4648, 1223, 946, 16762, 12642, 2645, 547, 6218, 3461, 5638, 543, 2697, 3676, 538, 519, 2038, 5933, 267, 3976, 7175, 12905, 543, 2500, 3461, 1416, 563, 306, 7964, 281, 12333, 5026, 6887, 666, 960, 609, 1239, 19767, 547, 11126, 6345, 2773, 543, 1020, 10888, 2994, 269, 1280, 1383, 267, 11176, 15731, 666, 946, 1239, 12454, 4030, 547, 5659, 6345, 9342, 267, 12755, 267, 543, 5945, 4220, 267, 4543, 873, 1118, 1732, 3664, 3823, 887, 3122, 2242, 267, 19132, 267, 543, 3014, 4566, 563, 15812, 7566, 281, 14992, 538, 1585, 6080, 666, 15407, 1239, 4966, 547, 2744, 4030, 883, 6075, 2623, 267, 7375, 267, 543, 3466, 269, 1635, 7421, 7082, 1239, 543, 10647, 2143, 2344, 1382, 267, 4213, 666, 20688, 741, 2472, 267, 2533, 267, 543, 6725, 2994, 811, 3927, 547, 4482, 543, 11677, 5561, 269, 901, 1239, 12454, 1935, 666, 1291, 547, 2799, 6455, 543, 4824, 2949, 6075, 9547, 563, 10574, 715, 514, 10937, 14174, 304, 454, 1432, 568, 513, 4578, 715, 514, 10937, 888, 288, 4578, 715, 514, 10937, 568, 513, 3318, 945, 24870, 538, 2324, 609, 5318, 5666, 540, 1239, 269, 1358, 616, 9952, 538, 1239, 2079, 267, 1239, 14839, 267, 543, 7598, 1239, 12454, 2994, 547, 948, 4213, 1118, 1732, 3664, 563, 1432, 1983, 798, 4578, 715, 514, 329, 553, 4865, 888, 10574, 715, 514, 329, 553, 616, 21295, 538, 1585, 1239, 2079, 2645, 267, 5752, 4654, 630, 7945, 607, 5124, 610, 681, 1070, 543, 1239, 12879, 2553, 269, 1358, 849, 723, 2178, 1966, 9010, 543, 2565, 3206, 1983, 267, 607, 1134, 607, 1702, 540, 7194, 543, 3684, 1565, 2553, 563, 1432, 6080, 798, 4578, 715, 514, 329, 553, 960, 538, 888, 10574, 715, 514, 329, 553, 666, 581, 1336, 538, 513, 2647, 2039, 540, 6080, 267, 1519, 8804, 267, 3782, 267, 6725, 267, 543, 2029, 269, 7102, 3602, 972, 568, 513, 991, 585, 1239, 2079, 543, 4030, 267, 4578, 715, 514, 329, 553, 666, 1118, 606, 1764, 563, 1692, 798, 594, 1831, 513, 4578, 715, 514, 10937, 888, 2414, 1831, 513, 4578, 715, 514, 10937, 267, 835, 3335, 2115, 547, 723, 513, 4282, 538, 2780, 2257, 267, 6128, 267, 610, 513, 1644, 2361, 269, 3958, 267, 11543, 4052, 1995, 998, 22631, 4721, 610, 2123, 3785, 267, 1565, 4143, 5752, 4654, 267, 543, 16565, 24501, 538, 1239, 12642, 543, 1239, 2257, 786, 948, 547, 6542, 707, 6791, 563, 1432, 568, 519, 3017, 1063, 513, 4578, 715, 514, 10937, 543, 513, 4578, 26831, 888, 4407, 519, 5107, 949, 723, 930, 16937, 267, 513, 4578, 715, 514, 10937, 568, 2356, 5059, 593, 1239, 2079, 543, 14839, 267, 1247, 513, 4578, 26831, 568, 811, 5059, 593, 2679, 543, 7598, 3684, 1565, 3631, 269, 1717, 267, 1312, 5107, 2154, 513, 2178, 5748, 538, 1239, 12879, 543, 2079, 2553, 563, 16665, 5303, 16301, 454, 268, 4578, 24630, 454, 268, 4578, 3163, 454, 268, 4578, 10439, 1436, 454, 268, 4578, 14086, 454, 268, 8262, 4578 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 715, 13052, 305, 4696, 16986, 568, 513, 1390, 22010, 689, 1018, 14368, 5505, 1185, 1354, 607, 519, 6131, 14368, 1670, 16986, 269, 715, 13052, 305, 4696, 2488, 782, 2010, 540, 1239, 543, 1344, 1031, 693, 782, 2053, 676, 519, 715, 16703, 543, 2817, 23587, 4741, 630, 301, 18449, 1070, 855, 621, 568, 711, 3501, 269, 715, 13052, 305, 4696, 2472, 616, 519, 3308, 2164, 540, 6620, 269, 1703, 568, 1100, 5690, 585, 1022, 14368, 1670, 2680, 602, 666, 3382, 782, 2009, 7653, 269, 4634, 6620, 723, 7687, 269, 9603, 547, 891, 7687, 267, 715, 13052, 305, 4696, 666, 711, 3713, 1142, 543, 1169, 14368, 1670, 3693, 602, 4386, 563, 5278, 1004, 1589, 519, 4600, 693, 715, 16703, 21610, 18449, 1058, 581, 3743, 585, 3246, 4365, 1239, 585, 782, 1004, 693, 782, 2053, 269, 634, 715, 16703, 21610, 18449, 4600, 616, 2907, 936, 1740, 539, 267, 896, 2006, 2740, 543, 4652, 24962, 543, 547, 723, 519, 18505, 1042, 5539, 540, 2348, 547, 1683, 4365, 1344, 602, 10039, 547, 1142, 1268, 693, 1022, 6074, 942, 568, 32601, 269, 901, 568, 7543, 2336, 2026, 585, 519, 3652, 543, 9021, 540, 519, 715, 16703, 543, 715, 18449, 282, 891, 616, 9598, 730, 676, 1004, 693, 1164, 2157, 540, 2229, 602, 2731, 1810, 1406, 723, 513, 23319, 607, 875, 513, 1483, 4365, 3510, 5932, 811, 960, 982, 4896, 1223, 7654, 2503, 269, 1284, 2503, 28986, 689, 519, 715, 16703, 21610, 18449, 543, 29153, 950, 28986, 1810, 1406, 2049, 563, 5804, 1018, 594, 1294, 607, 606, 31717, 20626, 267, 634, 715, 16703, 543, 715, 18449, 616, 3257, 4010, 1018, 568, 32486, 676, 2362, 22071, 543, 519, 2229, 269, 4256, 2816, 568, 547, 2149, 543, 24633, 519, 1857, 267, 711, 3313, 519, 12798, 4481, 693, 476, 11277, 13235, 9335, 538, 7102, 3602, 7147, 563, 263, 2690, 2417, 7778, 540, 519, 3441, 3361, 676, 594, 651, 267, 6306, 689, 519, 19996, 12798, 543, 1216, 267, 5225, 1224, 3487, 5565, 540, 18842, 1723, 2836, 659, 328, 779, 16823, 5816, 14182, 4700, 0, 3086, 602, 707, 2370, 835, 568, 11319, 476, 273, 547, 476, 274, 1296, 267, 972, 616, 811, 1919, 585, 596, 547, 798, 547, 10802, 1010, 1272, 269, 2659, 9525, 538, 1010, 3356, 568, 2565, 585, 1864, 547, 1118, 519, 1034, 540, 891, 2038, 1296, 563, 2791, 616, 4440, 711, 6005, 1010, 3384, 1688, 11558, 269, 1411, 949, 8275, 1631, 875, 646, 3180, 22916, 976, 543, 22796, 543, 1256, 519, 1259, 646, 4249, 609, 9162, 269, 1684, 596, 1589, 646, 786, 581, 1318, 26370, 610, 2451, 26370, 286, 898, 568, 711, 865, 596, 666, 3310, 799, 1688, 568, 1010, 2392, 558, 3729, 1688, 267, 855, 1175, 865, 596, 666, 581, 609, 1864, 593, 1010, 1646, 563, 2791, 723, 849, 4440, 8068, 602, 646, 568, 3257, 811, 1919, 676, 5128, 982, 1175, 513, 2110, 942, 3516, 269, 1261, 568, 2693, 547, 2119, 547, 10571, 5128, 585, 1732, 610, 8338, 269, 2353, 891, 616, 5615, 547, 17192, 1864, 585, 543, 547, 5000, 1864, 547, 798, 811, 563, 5194, 1858, 540, 1646, 596, 616, 2693, 547, 5469, 568, 602, 646, 21593, 4730, 609, 824, 1453, 269, 1411, 786, 1294, 1010, 1514, 1983, 3384, 543, 891, 616, 1271, 585, 1864, 563, 1607, 1858, 540, 1010, 7209, 568, 835, 602, 814, 2731, 1044, 1305, 1394, 585, 782, 6502, 1282, 519, 6855, 269, 5753, 1223, 711, 1404, 609, 824, 1453, 543, 713, 814, 1305, 873, 1394, 538, 3384, 891, 1514, 1983, 269, 12315, 1864, 513, 4960, 547, 1404, 609, 824, 1453, 543, 1451, 875, 547, 798, 621, 563, 10214, 4730, 609, 596, 2337, 1864, 1020, 1514, 1983, 563, 7476, 13047, 267, 5985, 454, 4407, 621, 568, 1271, 547, 1020, 1893, 1983, 676, 6158, 267, 1776, 1259, 568, 547, 5000, 13465, 269, 7327, 21543, 30053, 543, 824, 8964, 609, 707, 1126, 269, 1684, 1560, 3350, 547, 2731, 1205, 883, 519, 13465, 269, 1261, 786, 2972, 519, 3350, 543, 621, 568, 1434, 585, 1864, 269, 901, 949, 1256, 5000, 824, 7574, 1983, 547, 2097, 856, 563, 26807, 569, 1869, 5000, 1010, 6863, 543, 1702, 543, 1565, 811, 827, 519, 1158, 676, 2921, 15211, 267, 9683, 15882, 267, 8021, 267, 14060, 267, 11614, 543, 18186, 657, 269, 5272, 3602, 596, 979, 972, 568, 1454, 547, 581, 4121, 269, 13185, 827, 519, 4025, 596, 616, 2469, 547, 979, 547, 855, 1287, 2911, 827, 873, 950, 596, 723, 1044, 972, 563, 13480, 609, 1864, 593, 3785, 269, 594, 798, 711, 1611, 596, 1058, 1491, 936, 519, 1788, 269, 15439, 960, 22290, 1864, 547, 5000, 1864, 543, 2972, 1018, 568, 8345, 1927, 269, 901, 666, 581, 1148, 3785, 267, 21338, 9162, 267, 610, 5986, 1426, 563, 8196, 10203, 811, 982, 2479, 543, 3142, 538, 8228, 5022, 269, 1411, 786, 1294, 930, 31163, 17331, 602, 538, 513, 2110, 1247, 1522, 1175, 1831, 5022, 610, 2338, 563, 30860, 1010, 4797, 2702, 547, 3802, 267, 2196, 267, 7914, 267, 5577, 267, 1909, 543, 18214, 269, 1261, 568, 3395, 909, 543, 1565, 811, 543, 811, 1983, 269, 1411, 786, 5469, 713, 1482, 3356, 538, 1010, 6863, 563, 5194, 3364, 596, 1522, 5469, 568, 602, 607, 646, 814, 5063, 1044, 3395, 513, 2603, 267, 646, 849, 568, 1419, 29134, 543, 949, 1256, 723, 930, 2963, 540, 2191, 21915, 337, 4548, 269, 670, 836, 538, 972, 269, 1684, 711, 936, 516, 716, 269, 13185, 609, 1864, 269, 19415, 547, 1864, 269, 4518, 609, 1864, 593, 1373, 3461, 563, 1607, 568, 606, 3078, 942, 609, 707, 1762, 1126, 269, 17949, 707, 942, 1927, 563, 290, 2106, 628, 807, 9410, 568, 519, 13653, 540, 519, 3689, 11819, 1982, 543, 5449, 10324, 8689, 540, 9977, 532, 25198, 7690, 267, 799, 32245, 3377, 24393, 585, 3237, 267, 15637, 543, 22594, 269, 1280, 811, 1344, 267, 4757, 547, 4757, 11333, 2593, 610, 1289, 476, 11740, 268, 6924, 272, 268, 18597, 271, 269, 0, 289, 3008, 2975, 631, 4785, 2975, 5990, 12088, 454, 763, 1739, 568, 513, 2854, 7778, 540, 519, 1739, 3584, 912, 15578, 674, 25893, 570, 8008, 12903, 912, 272, 264, 28042, 3502, 566, 454, 273, 264, 634, 476, 1321, 11872, 540, 8535, 910, 634, 28042, 22843, 454, 274, 264, 634, 16065, 454, 275, 264, 634, 7581, 325, 454, 276, 264, 18780, 540, 11872, 454, 272, 264, 631, 4785, 13965, 10691, 9569, 454, 15404, 673, 3502, 566, 568, 519, 700, 20315, 308, 17803, 540, 2575, 563, 12626, 3096, 5022, 543, 8535, 3096, 4967, 454, 2791, 666, 1224, 2575, 1175, 607, 1134, 607, 596, 666, 1224, 2296, 2336, 273, 264, 5990, 476, 1321, 10691, 2464, 5508, 631, 4785, 2975, 454, 12441, 596, 917, 286, 2334, 972, 616, 1152, 476, 1321, 4967, 538, 5375, 8535, 454, 17829, 4967, 616, 454, 288, 589, 258, 645, 595, 595, 258, 667, 667, 258, 661, 674, 674, 258, 717, 717, 16482, 763, 4063, 589, 258, 568, 1767, 607, 281, 1412, 288, 1744, 17369, 7055, 25444, 4063, 814, 513, 8325, 4849, 585, 645, 543, 661, 454, 268, 1703, 568, 1100, 645, 16482, 268, 1703, 568, 1100, 661, 16482, 763, 3845, 1063, 835, 4063, 543, 519, 1985, 568, 1572, 513, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 589, 547, 589, 258, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 589, 258, 547, 645, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 645, 547, 595, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 595, 547, 667, 568, 29375, 302, 263, 273, 264, 590, 4932, 3951, 2177, 2464, 454, 763, 3845, 689, 589, 547, 645, 568, 29375, 302, 630, 273, 264, 590, 4932, 3951, 2177, 2464, 454, 274, 264, 5990, 5254, 288, 13697, 454, 763, 5234, 568, 1500, 909, 540, 476, 276, 3515, 543, 476, 275, 5624, 538, 799, 4967, 616, 5116, 883, 630, 320, 1899, 610, 513, 2230, 994, 275, 264, 5990, 595, 4041, 293, 454, 288, 7581, 325, 568, 1018, 2337, 2285, 4967, 741, 4408, 269, 1703, 616, 1082, 1114, 2010, 540, 1579, 12028, 543, 1169, 6293, 2115, 513, 1808, 1579, 325, 269, 2913, 781, 1445, 593, 1079, 2442, 1579, 12028, 282, 519, 570, 3918, 25770, 1579, 325, 543, 519, 645, 19798, 7581, 325, 563, 763, 2871, 10560, 3096, 519, 570, 3918, 25770, 595, 4041, 293, 563, 276, 264, 715, 4456, 2464, 5508, 10691, 2464, 10396, 5990, 5254, 288, 13697, 454, 5629, 649, 723, 513, 5254, 288, 13697, 609, 513, 595, 4041, 293, 593, 621, 267, 649, 666, 1376, 20803, 4967, 856, 563, 4131, 781, 1376, 609, 519, 570, 3918, 25770, 595, 4041, 293, 593, 519, 5254, 288, 13697, 1101, 2676, 763, 9501, 3722, 2464, 593, 713, 5234, 616, 454, 763, 9501, 3722, 2464, 11963, 674, 19781, 454, 288, 2442, 27099, 585, 1565, 519, 3515, 616, 454, 9336, 6153, 15196, 2677, 12883, 8342, 910, 661, 717, 645, 667, 674, 454, 763, 22217, 652, 1505, 568, 10203, 707, 4967, 909, 610, 1524, 519, 7574, 9904, 563, 17472, 2316, 4753, 281, 634, 5857, 1186, 610, 6366, 14201, 1405, 18886, 267, 1175, 519, 2898, 4967, 281, 589, 645, 595, 667, 661, 674, 717, 0, 20112, 4393, 7041, 540, 519, 7626, 585, 946, 538, 1585, 2472, 1280, 5215, 540, 1296, 519, 2262, 4154, 814, 25664, 539, 1945, 540, 5898, 610, 1871, 1452, 2592, 616, 6508, 689, 1079, 3601, 540, 4154, 922, 7990, 543, 922, 3114, 7990, 540, 4154, 568, 1813, 547, 519, 5907, 2497, 540, 519, 4154, 11046, 799, 25309, 13590, 5982, 609, 20966, 1447, 982, 476, 28794, 271, 2587, 560, 668, 338, 3267, 2026, 513, 3056, 2518, 10672, 540, 11493, 3937, 267, 17819, 3937, 28504, 7675, 3937, 28504, 11538, 3937, 543, 536, 686, 638, 8291, 3937, 3092, 269, 649, 2709, 4359, 267, 7787, 3435, 585, 1022, 2450, 3146, 9134, 4170, 267, 1519, 26755, 267, 14919, 267, 8860, 2504, 543, 2347, 2030, 1544, 269, 1403, 596, 616, 5461, 538, 891, 1587, 267, 5225, 3346, 721, 563, 289, 8681, 8745, 281, 674, 1774, 7557, 10320, 454, 32101, 281, 20957, 13404, 270, 29323, 1807, 2030, 454, 14611, 16811, 2433, 26836, 8302, 267, 1764, 8302, 267, 17200, 8302, 267, 29404, 3684, 267, 29976, 267, 3440, 1984, 267, 3492, 15249, 267, 3092, 563, 290, 2643, 5407, 27519, 281, 476, 280, 268, 26326, 332, 23326, 454, 303, 3174, 27519, 281, 476, 272, 269, 280, 268, 10602, 9143, 295, 454, 32101, 16186, 281, 24322, 540, 5599, 267, 7626, 18689, 2747, 267, 4070, 2326, 543, 3114, 4702, 563, 293, 29623, 21081, 983, 640, 281, 476, 6344, 268, 5611, 271, 7825, 454, 303, 3174, 27519, 281, 476, 272, 268, 13136, 271, 339, 10774, 454, 293, 3975, 14956, 2287, 281, 476, 5611, 9943, 7742, 268, 8182, 271, 9943, 13975, 271, 7825, 454, 293, 29623, 12025, 281, 476, 271, 268, 1911, 271, 7825, 454, 3682, 22422, 27519, 281, 476, 1789, 268, 4335, 9143, 295, 454, 7343, 29736, 7698, 281, 5211, 18574, 267, 14680, 267, 25342, 267, 1666, 5306, 267, 1019, 15390, 267, 543, 525, 924, 543, 865, 593, 563, 293, 29623, 12025, 281, 18016, 1839, 268, 19749, 353, 1789, 7825, 454, 11514, 12737, 532, 12025, 281, 476, 271, 269, 10219, 268, 476, 271, 269, 271, 4510, 7825, 454, 303, 3174, 27519, 281, 476, 273, 268, 12293, 9143, 295, 454, 293, 29623, 2450, 281, 476, 21878, 268, 25616, 7825, 454, 3682, 22422, 4390, 281, 476, 3393, 268, 4335, 339, 10774, 454, 7343, 29736, 1570, 281, 5757, 890, 6277, 956, 267, 7725, 630, 3916, 9693, 267, 25342, 267, 1666, 5306, 267, 1019, 15390, 267, 543, 525, 924, 267, 3092, 13776, 7626, 2766, 902, 563, 763, 16019, 1184, 3096, 31529, 20841, 547, 1349, 23606, 950, 4154, 568, 693, 13621, 1448, 23606, 5094, 883, 513, 4494, 593, 519, 2627, 540, 519, 25183, 29881, 4154, 634, 16019, 1184, 568, 4028, 543, 2241, 855, 621, 7472, 4154, 540, 1152, 827, 476, 4200, 276, 2600, 19454, 634, 654, 2129, 331, 15884, 1184, 4679, 19454, 547, 827, 476, 15886, 280, 2600, 676, 14793, 3974, 5415, 19672, 454, 1692, 4154, 11547, 2030, 1568, 28176, 6516, 4154, 11547, 2030, 6516, 4137, 513, 5755, 840, 704, 566, 2030, 513, 2095, 6516, 540, 513, 476, 6110, 9522, 829, 5662, 5755, 2030, 602, 2661, 10004, 12222, 6029, 519, 1184, 540, 4154, 5599, 3367, 2859, 11822, 2480, 11490, 14301, 2986, 11635, 20957, 13870, 13242, 5415, 19672, 454, 763, 595, 7709, 1184, 589, 3625, 6503, 6516, 540, 513, 6093, 595, 7709, 2030, 585, 513, 1875, 10915, 847, 800, 4154, 7626, 568, 3254, 538, 7612, 476, 273, 7305, 594, 543, 7305, 4083, 9414, 519, 3854, 543, 5665, 1942 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1592, 729, 811, 3875, 269, 1809, 1346, 4408, 581, 4501, 352, 322, 877, 1253, 532, 1639, 538, 519, 16311, 585, 2531, 514, 542, 267, 711, 538, 519, 3635, 540, 3160, 2924, 281, 519, 1004, 729, 18348, 539, 282, 519, 10504, 540, 519, 1634, 1158, 11542, 538, 991, 540, 513, 4487, 563, 3918, 303, 308, 13993, 2975, 3198, 6608, 267, 538, 2489, 267, 616, 538, 9651, 540, 25010, 689, 519, 10841, 754, 656, 540, 1880, 1249, 687, 267, 543, 689, 519, 4573, 29532, 6891, 540, 513, 1093, 4501, 352, 335, 592, 864, 267, 945, 1373, 18348, 539, 267, 616, 1100, 3476, 3514, 547, 8525, 476, 31172, 2671, 538, 519, 7245, 540, 1533, 269, 1809, 896, 824, 24284, 267, 1141, 15698, 949, 581, 811, 6707, 25189, 952, 2367, 616, 18348, 539, 267, 519, 14255, 4501, 352, 339, 1308, 10149, 712, 23229, 689, 519, 6057, 540, 602, 1360, 3354, 799, 568, 22876, 3293, 676, 519, 9277, 829, 4501, 352, 325, 1254, 540, 1857, 1931, 563, 288, 3892, 540, 1379, 543, 5604, 282, 606, 4291, 340, 4501, 352, 5406, 540, 1876, 267, 676, 799, 8994, 1651, 25209, 906, 543, 12387, 652, 725, 616, 4547, 547, 606, 1439, 282, 676, 799, 519, 1268, 543, 519, 3959, 616, 267, 1510, 2828, 267, 609, 4501, 352, 719, 9348, 531, 267, 1510, 17185, 267, 9985, 17956, 547, 538, 4501, 352, 323, 1339, 338, 267, 1281, 22632, 547, 519, 21184, 540, 513, 4182, 282, 543, 1223, 711, 723, 1044, 4628, 3964, 267, 1510, 1346, 11851, 687, 540, 1620, 543, 8699, 267, 1346, 8062, 540, 513, 759, 5193, 543, 24526, 6891, 267, 799, 19799, 519, 3045, 1023, 540, 513, 1004, 267, 543, 4734, 547, 2104, 6502, 513, 1641, 540, 1175, 25621, 543, 3365, 1021, 269, 1809, 952, 649, 15475, 602, 519, 1439, 568, 25189, 267, 543, 602, 2367, 1100, 3476, 957, 267, 538, 519, 18399, 540, 15073, 4501, 352, 22360, 267, 689, 12666, 27742, 267, 610, 609, 513, 2070, 547, 519, 11091, 540, 1857, 25654, 282, 952, 967, 643, 328, 4501, 352, 706, 1023, 1589, 2933, 5150, 1510, 1022, 22887, 4501, 352, 5406, 610, 4674, 540, 741, 1378, 282, 713, 1630, 16556, 1443, 534, 4501, 352, 5653, 949, 581, 1336, 1152, 547, 2285, 873, 606, 1727, 677, 340, 4501, 352, 333, 640, 540, 11981, 267, 693, 16837, 267, 519, 7036, 13853, 543, 2122, 2456, 540, 1272, 282, 610, 267, 538, 519, 1893, 540, 595, 6737, 267, 4001, 873, 547, 1871, 741, 8075, 267, 741, 5636, 553, 267, 741, 24112, 267, 543, 741, 5961, 267, 693, 513, 2362, 2557, 982, 789, 798, 519, 14081, 269, 1358, 949, 581, 1336, 547, 1332, 13110, 538, 5728, 540, 513, 1863, 11156, 267, 540, 799, 789, 2760, 24044, 547, 30107, 538, 741, 3221, 320, 4501, 352, 5406, 267, 543, 799, 789, 2141, 10714, 538, 741, 598, 4501, 352, 2265, 563, 17273, 476, 28178, 5990, 12178, 547, 15698, 616, 711, 519, 1641, 540, 938, 1459, 7156, 282, 855, 789, 666, 2760, 581, 3152, 689, 1022, 2014, 982, 789, 616, 689, 519, 9277, 1121, 1170, 1145, 540, 513, 1004, 267, 547, 4171, 2123, 10149, 712, 1169, 11156, 267, 607, 621, 7640, 539, 922, 3715, 4501, 352, 618, 267, 865, 1590, 3136, 547, 28297, 922, 11091, 269, 7439, 568, 713, 26460, 2479, 1447, 5150, 982, 621, 568, 538, 519, 15896, 540, 2367, 945, 1589, 602, 789, 2972, 621, 538, 3106, 267, 543, 945, 4061, 2015, 519, 1857, 1152, 607, 621, 6799, 547, 741, 1285, 541, 823, 513, 1297, 540, 561, 340, 4501, 352, 13062, 894, 2308, 906, 282, 585, 519, 19160, 540, 799, 789, 949, 15093, 1346, 1360, 2924, 799, 11904, 873, 4501, 352, 2383, 3615, 540, 2359, 610, 7156, 563, 293, 15375, 519, 12402, 540, 891, 18759, 267, 1287, 267, 621, 1058, 2408, 267, 602, 513, 3084, 6891, 568, 1954, 4501, 352, 638, 1836, 23644, 267, 711, 593, 2272, 540, 1022, 1651, 9092, 1253, 655, 704, 538, 519, 2470, 540, 18495, 267, 855, 593, 1035, 4501, 352, 12248, 540, 741, 17319, 10714, 338, 543, 18348, 687, 269, 901, 6891, 7449, 13554, 9003, 267, 5310, 267, 538, 519, 608, 324, 4501, 352, 322, 1081, 540, 513, 1906, 3785, 267, 9411, 883, 585, 519, 1035, 4501, 352, 638, 9974, 540, 8513, 610, 5763, 282, 621, 2501, 267, 899, 513, 24631, 14049, 267, 547, 581, 9788, 11735, 1310, 922, 1439, 568, 693, 4501, 352, 22633, 563, 16704, 2562, 14473, 24284, 2165, 3729, 538, 513, 556, 4501, 352, 331, 1314, 566, 540, 10149, 712, 267, 543, 616, 13546, 977, 783, 547, 519, 840, 4501, 352, 338, 3569, 540, 2829, 282, 1317, 789, 1291, 18495, 547, 7048, 593, 741, 6575, 267, 3079, 540, 741, 21644, 267, 543, 547, 12161, 585, 606, 6454, 540, 1480, 2470, 267, 513, 6071, 1569, 542, 540, 22098, 267, 610, 540, 13284, 1127, 269, 769, 4501, 352, 560, 4801, 602, 6830, 1518, 519, 2247, 267, 8300, 10100, 267, 543, 3895, 3084, 21688, 30008, 267, 666, 2760, 4043, 547, 3084, 25010, 563, 17273, 476, 28656, 4959, 621, 711, 2009, 267, 9624, 938, 25621, 540, 6575, 267, 547, 1265, 930, 1747, 585, 891, 286, 2913, 2829, 5443, 267, 945, 616, 703, 27434, 609, 519, 2229, 540, 6082, 267, 16253, 585, 2933, 269, 898, 568, 741, 1870, 547, 1352, 342, 267, 2436, 789, 18214, 883, 10473, 540, 900, 29561, 267, 8806, 547, 4159, 513, 6612, 585, 1719, 267, 799, 789, 1185, 1732, 32696, 538, 2116, 2579, 282, 543, 2436, 789, 723, 4390, 547, 1174, 519, 8788, 540, 513, 1004, 267, 519, 2932, 540, 4171, 12602, 789, 616, 865, 8348, 547, 22738, 563, 763, 1482, 1641, 4797, 563, 300, 2894, 4749, 267, 1247, 789, 1353, 547, 708, 4501, 352, 2889, 557, 741, 6830, 17480, 267, 10714, 2933, 282, 543, 1247, 789, 2601, 585, 741, 2197, 267, 7340, 519, 9270, 602, 1034, 17330, 741, 3007, 269, 10606, 267, 13284, 1127, 267, 543, 519, 824, 2200, 540, 2112, 267, 616, 3810, 1271, 16123, 359, 855, 6082, 2874, 540, 2367, 16123, 359, 543, 513, 4182, 9967, 540, 632, 2102, 4733, 543, 10800, 731, 569, 2367, 267, 568, 4617, 282, 513, 4182, 9967, 540, 24526, 267, 1857, 1606, 2869, 1243, 267, 543, 759, 5193, 2367, 267, 568, 2178, 269, 634, 2200, 540, 2112, 267, 1141, 824, 5383, 616, 3160, 267, 949, 6430, 513, 16311, 282, 855, 519, 2200, 540, 2112, 267, 538, 3946, 602, 3112, 2308, 873, 267, 616, 540, 1100, 1992, 563, 309, 7644, 307, 16604, 568, 513, 2556, 25499, 540, 3084, 4222, 281, 4390, 267, 543, 513, 24526, 1620, 267, 616, 1100, 1447, 2556, 547, 2844, 519, 19539, 540, 2829, 269, 5637, 616, 4824, 676, 9015, 267, 543, 676, 519, 608, 4501, 352, 2075, 2478, 538, 799, 2367, 616, 7722, 269, 1284, 16339, 1047, 267, 610, 649, 533, 640, 267, 519, 2603, 540, 18495, 267, 1247, 789, 5030, 896, 7334, 24284, 267, 543, 941, 8078, 539, 547, 2844, 538, 519, 1482, 1268, 267, 519, 1915, 540, 519, 521, 6511, 4501, 352, 30004, 267, 519, 2829, 2006, 267, 543, 519, 17199, 269, 2717, 1639, 6082, 3605, 267, 602, 1022, 835, 540, 891, 3197, 568, 6190, 538, 835, 1268, 282, 543, 602, 519, 7475, 540, 1142, 267, 950, 771, 14765, 1441, 267, 616, 811, 3362, 12913, 269, 634, 1101, 267, 2705, 267, 941, 6381, 896, 799, 6082, 4359, 543, 605, 4944, 1229, 282, 519, 2034, 941, 8525, 476, 24783, 1346, 538, 799, 519, 6891, 17159, 267, 543, 519, 4182, 4682, 547, 9178, 563, 25446, 949, 267, 609, 1434, 2601, 267, 7249, 7806, 3634, 938, 2249, 593, 741, 2348, 23012, 689, 513, 1533, 540, 3046, 4501, 352, 8663, 748, 4524, 543, 5208, 267, 883, 513, 1533, 540, 798, 4501, 352, 332, 4382, 4708, 543, 2834, 3609, 282, 950, 789, 723, 1352, 520, 1117, 519, 546, 16925, 267, 543, 771, 28534, 519, 1918, 657, 885, 540, 3540, 1543, 542, 282, 950, 519, 9604, 609, 799, 789, 25077, 616, 519, 2601, 902, 540, 519, 8797, 267, 543, 519, 11469, 540, 519, 1714, 13228, 550, 269, 1809, 649, 3112, 267, 1611, 4501, 352, 5503, 267, 948, 547, 26845, 267, 602, 789, 1058, 2479, 605, 4501, 352, 3865, 267, 538, 3406, 540, 19870, 267, 547, 1747, 1169, 7936, 540, 7245, 3297, 519, 4831, 267, 543, 2097, 547, 2308, 267, 3079, 540, 519, 2829, 2006, 543, 24116, 267, 519, 6071, 804, 17064, 543, 2272, 656, 563, 289, 312, 8876, 713, 1062, 547, 922, 4463, 267, 2367, 616, 13473, 267, 945, 1223, 5299, 585, 19332, 1010, 4108, 5528, 267, 610, 1256, 14892, 513, 851, 540, 1010, 4566, 282, 855, 9039, 945, 1223, 957, 538, 782, 519, 1114, 10207, 585, 799, 519, 6205, 5128, 1590, 581, 11727, 267, 538, 519, 1533, 543, 538, 519, 2361, 267, 538, 2053, 540, 1931, 610, 540, 31341, 267, 538, 2053, 540, 6498, 610, 540, 796, 534, 14383, 282, 9039, 945, 1223, 606, 1493, 519, 14643, 950, 18064, 324, 4501, 352, 7992, 593, 8723, 14026, 267, 610, 950, 15372, 539, 676, 6285, 689, 13383, 563, 15578, 3609, 540, 3624, 568, 519, 1034, 3501, 2203, 540, 606, 11460, 267, 693, 799, 519, 8723, 13217, 906, 540, 2229, 616, 6322, 282, 543, 519, 11317, 540, 713, 10504, 4865, 267, 538, 519, 5207, 4110, 267, 1346, 6575, 593, 799, 5175, 3258, 8186, 1118, 519, 21688, 30008, 543, 30493, 540, 6082, 547, 4096, 269, 634, 1533, 814, 9715, 267, 538, 513, 2268, 796, 3225, 6817, 538, 519, 1686, 540, 18495, 267, 2338, 540, 2367, 267, 543, 519, 8525, 476, 26552, 824, 2200, 540, 2112, 269, 1358, 723, 2944, 1018, 649, 616, 1360, 19038, 547, 23507, 282, 789, 723, 4547, 562, 10620, 4501, 352, 4689, 12602, 547, 519, 1377, 540, 519, 1611, 652, 3040, 1892, 335, 13369, 282, 789, 723, 13264, 873, 883, 2694, 267, 543, 16207, 873, 883, 5094, 13623, 282, 789, 723, 8052, 1117, 1169, 23312, 609, 26672, 573, 18428, 267, 543, 14734, 525, 4501, 352, 3749, 3029, 282, 543, 1141, 519, 27527, 540, 3029, 3112, 1065, 816, 4524, 267, 513, 11826, 543, 4049, 1093, 4501, 352, 331, 823, 267, 11439, 609, 1169, 2249, 540, 6144, 531, 19439, 4501, 352, 618, 267, 568, 4294, 547, 519, 3483, 269, 634, 627, 760, 267, 543, 519, 524, 644, 326, 601, 267, 616, 4371, 909, 547, 782, 9753, 540, 2367, 282, 789, 616, 693, 2899, 6964, 267, 543, 789, 616, 23487, 539, 676, 1169, 4012, 626, 3433, 269, 589, 8260, 25978, 568, 627, 5792, 267, 585, 2348, 10288, 513, 4584, 335, 12714, 547, 4309, 1932, 1906, 610, 1932, 1082, 9514, 338, 563, 14110, 28475, 8257, 540, 1533, 568, 1500, 519, 1073, 4501, 352, 915, 540, 513, 5094, 3924, 267, 543, 1169, 11134, 585, 5604, 1590, 723, 5293, 998, 513, 2834, 1196, 340, 4501, 352, 322, 566, 282, 543, 267, 607, 538, 519, 4271, 725, 540, 519, 796, 1853, 4501, 352, 338, 640, 267, 1590, 723, 5833, 676, 1010, 15334, 267, 610, 1010, 7555, 267, 519, 4110, 547, 799, 646, 29954, 2231, 269, 634, 5513, 684, 1023, 540, 1533, 267, 540, 2112, 267, 543, 540, 519, 8907, 267, 607, 1134, 607, 540, 3332, 267, 616, 5342, 676, 20021, 538, 741, 1114, 2090, 282, 855, 1247, 1565, 568, 519, 1390, 4155, 547, 4782, 618, 267, 621, 2165, 7149, 267, 538, 1373, 2111, 547, 1224, 267, 543, 547, 2328, 282, 543, 519, 1390, 1843, 540, 2229, 5161, 538, 9870, 267, 543, 538, 598, 4501, 352, 8999, 532, 519, 5613, 540, 519, 3618, 269, 2060, 782, 891, 2200, 267, 543, 713, 4121, 7041, 267, 799, 568, 1500, 547, 2490, 891, 2200, 547, 946, 267, 519, 1533, 568, 538, 4641, 4617, 282, 814, 14578, 2016, 519, 1383, 799, 649, 3343, 547, 2491, 282, 543, 1851, 519, 7189, 540, 2112, 610, 540, 3609, 267, 1851, 519, 6634, 945, 616, 1305, 6306, 585, 519, 4108, 3924, 267, 666, 1265, 9039, 540, 922, 2818, 945, 616, 3514, 547, 1796, 8521, 538, 519, 8525, 476, 22430, 12178, 540, 741, 2197, 267, 610, 547, 1106, 513, 20237, 513, 4501, 352, 326, 664, 560, 519, 7368, 538, 30030, 540, 606, 10546, 1065, 3176, 547, 581, 1148, 1652, 543, 1611, 563, 3951, 568, 2352, 547, 2995, 875, 1279, 519, 9178, 540, 2829, 1522, 581, 17735, 676, 519, 14713, 540, 6575, 593, 799, 741, 1483, 21688, 30008, 543, 4222, 632, 4501, 352, 12323, 282, 676, 14237, 538, 519, 2362, 16034, 1346, 15421, 585, 519, 14643, 543, 519, 2361, 267, 799, 3112, 267, 1510, 1390, 19319, 267, 581, 9674, 282, 543, 538, 519, 1560, 540, 513, 1004, 267, 602, 1990, 7002, 585, 741, 2197, 267, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8638, 609, 513, 7649, 543, 1865, 1312, 5011, 9425, 269, 5457, 267, 1620, 543, 19825, 3309, 5380, 2337, 1628, 6793, 2950, 780, 1103, 3932, 267, 6313, 3661, 1949, 2636, 721, 547, 2263, 1114, 2081, 540, 7487, 519, 1158, 269, 3414, 1565, 827, 1585, 3929, 6114, 543, 8026, 1930, 16490, 1145, 267, 649, 1831, 1134, 25454, 2043, 5827, 540, 10188, 1950, 5717, 543, 8508, 4763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15987, 1206, 593, 18972, 543, 4033, 12292, 454, 3891, 13273, 543, 3618, 616, 678, 3578, 1652, 267, 543, 1521, 519, 16221, 7068, 607, 12450, 5243, 563, 20288, 5320, 547, 519, 28980, 9990, 454, 1805, 3863, 17268, 568, 606, 4323, 593, 519, 796, 628, 9722, 4978, 540, 3206, 1004, 269, 4653, 12666, 1480, 1143, 814, 519, 24245, 1379, 602, 729, 2899, 22234, 676, 7000, 4984, 269, 5274, 1235, 899, 547, 1589, 789, 723, 513, 7787, 2070, 540, 519, 1158, 282, 855, 741, 4295, 3661, 538, 3356, 568, 513, 22530, 819, 267, 2417, 689, 519, 5168, 827, 519, 1480, 3662, 982, 1022, 540, 519, 1158, 779, 10764, 563, 11073, 2515, 540, 2257, 267, 3356, 568, 3274, 513, 7242, 269, 769, 930, 3988, 540, 853, 3863, 17268, 713, 8343, 4667, 547, 723, 3812, 513, 5837, 11784, 269, 17610, 569, 267, 789, 2307, 267, 1100, 835, 666, 2243, 519, 3844, 2376, 540, 5132, 540, 12666, 7239, 286, 9453, 621, 267, 786, 649, 711, 21817, 286, 6145, 1726, 3387, 1782, 8841, 2103, 17512, 1881, 540, 9561, 741, 5132, 267, 891, 1480, 1235, 804, 532, 547, 519, 26615, 3887, 22760, 2156, 322, 1228, 540, 11636, 4126, 269, 4653, 3909, 21071, 616, 811, 1863, 6253, 9722, 269, 3220, 1508, 547, 519, 19114, 540, 513, 2528, 538, 799, 2257, 6811, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 23527, 1299, 21771, 1315, 4937, 1315, 30248, 1299, 10017, 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 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 286, 594, 1616, 547, 1451, 811, 827, 2870, 2212, 619, 543, 3723, 619, 269, 9786, 6478, 1281, 1489, 513, 1297, 540, 1374, 3681, 593, 875, 547, 1711, 2212, 619, 543, 3723, 619, 269, 3371, 568, 513, 1164, 1377, 5758, 281, 476, 272, 269, 589, 6131, 10624, 585, 2212, 619, 543, 3723, 619, 269, 17677, 26487, 1775, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 25090, 274, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 9786, 6478, 1280, 5839, 14642, 454, 1432, 3657, 590, 30708, 538, 9786, 6478, 454, 1432, 616, 6810, 538, 9786, 6478, 286, 1548, 666, 594, 798, 609, 6810, 286, 590, 30708, 538, 9786, 6478, 1450, 596, 547, 7941, 513, 3561, 883, 1114, 2694, 267, 865, 602, 596, 666, 3898, 1142, 851, 8335, 269, 1280, 1383, 267, 952, 596, 1616, 519, 1283, 851, 540, 513, 2985, 547, 4159, 1257, 538, 835, 6241, 267, 543, 519, 5377, 851, 547, 8420, 320, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14530, 275, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 6478, 5839, 454, 15411, 9786, 6478, 22276, 11711, 607, 22276, 454, 1692, 547, 1930, 513, 9786, 6478, 22276, 11711, 607, 513, 10959, 286, 594, 1616, 547, 12189, 519, 10959, 269, 1403, 596, 5595, 26487, 593, 513, 9786, 6478, 10959, 3758, 267, 621, 786, 1930, 621, 607, 513, 6478, 3561, 267, 711, 607, 513, 10959, 267, 1317, 6478, 568, 3206, 596, 1616, 547, 1711, 513, 1007, 3561, 689, 519, 10959, 269, 1403, 596, 1616, 1930, 513, 6478, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14338, 271, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 9786, 6478, 1280, 5839, 338, 454, 8794, 10361, 619, 22077, 2393, 619, 538, 9786, 6478, 454, 8489, 547, 1265, 4267, 547, 4749, 4280, 2055, 593, 1210, 2212, 619, 543, 3723, 619, 538, 9786, 6478, 286, 594, 1616, 547, 1451, 875, 547, 946, 2212, 619, 543, 3723, 619, 269, 3371, 568, 513, 1592, 540, 4749, 4280, 2055, 543, 741, 4267, 16432, 676, 674, 312, 296, 22487, 2593, 2319, 593, 875, 547, 946, 2212, 619, 543, 3723, 619, 538, 9786, 6478, 281, 1261, 1228, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14093, 277, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 0, 1692, 666, 596, 581, 5423, 585, 519, 20389, 610, 20554, 1449, 888, 6701, 596, 827, 547, 9096, 1164, 1153, 543, 596, 616, 11842, 875, 666, 596, 1205, 547, 2362, 2069, 286, 15394, 1053, 723, 513, 2603, 2055, 827, 713, 1184, 267, 789, 917, 602, 538, 3013, 972, 2461, 1079, 11400, 20554, 610, 20389, 547, 15378, 22026, 585, 2852, 267, 855, 799, 835, 798, 789, 723, 547, 1491, 286, 2107, 267, 875, 789, 666, 5965, 2933, 585, 621, 888, 306, 2969, 610, 20554, 1449, 454, 13828, 11400, 616, 25422, 6444, 13387, 4255, 543, 1455, 16075, 4170, 585, 2475, 30793, 2471, 543, 29550, 267, 865, 972, 568, 1100, 513, 2582, 2953, 4781, 269, 1717, 267, 519, 20554, 1449, 3800, 1018, 519, 1053, 1058, 917, 8720, 519, 2326, 602, 789, 2907, 4121, 1282, 1164, 1153, 543, 519, 20389, 1449, 568, 811, 607, 513, 27667, 540, 1018, 513, 2875, 568, 5827, 547, 1451, 563, 1692, 547, 5965, 3054, 888, 31535, 713, 267, 786, 948, 596, 547, 6430, 519, 835, 1655, 14018, 547, 707, 2115, 269, 2991, 602, 267, 621, 568, 1271, 547, 1445, 593, 513, 2582, 1449, 267, 1205, 606, 2856, 540, 1018, 519, 1449, 568, 899, 543, 1711, 513, 1353, 1544, 269, 4438, 713, 3003, 3460, 267, 596, 991, 23468, 585, 596, 547, 917, 519, 1900, 596, 1058, 1246, 267, 602, 779, 1946, 2348, 3318, 543, 10531, 7041, 609, 513, 19579, 4116, 786, 2709, 596, 513, 7463, 1576, 585, 596, 547, 4487, 519, 1543, 543, 2511, 540, 519, 2243, 596, 786, 723, 538, 707, 981, 676, 2348, 513, 2603, 2259, 563, 5472, 713, 1344, 543, 811, 621, 779, 2139, 593, 281, 3447, 10000, 2561, 0, 2704, 6975, 4223, 331, 871, 267, 835, 540, 519, 15713, 7855, 540, 3039, 7998, 543, 2278, 540, 519, 1433, 2048, 7072, 547, 5682, 11061, 8730, 2824, 338, 1010, 19463, 4574, 538, 5682, 11061, 713, 3923, 7498, 302, 548, 21129, 1558, 520, 4185, 538, 25694, 2923, 267, 808, 11047, 710, 8751, 848, 330, 543, 808, 14660, 2102, 5576, 28739, 267, 5682, 6314, 1421, 476, 1001, 274, 267, 476, 1428, 267, 476, 23211, 278, 1700, 22001, 279, 267, 20396, 281, 476, 1015, 269, 9818, 280, 14727, 274, 24774, 25148, 5655, 298, 454, 1607, 1058, 2014, 835, 547, 1589, 827, 875, 1082, 8906, 3056, 547, 713, 1267, 941, 1500, 676, 4960, 269, 29464, 18479, 17458, 1470, 540, 5918, 303, 2632, 4362, 1558, 520, 4185, 950, 646, 1031, 513, 544, 8432, 321, 6577, 636, 18463, 538, 513, 2098, 20672, 2401, 12249, 1436, 540, 2802, 22005, 538, 476, 4198, 278, 269, 27557, 547, 1205, 5812, 2164, 609, 512, 32500, 15279, 778, 3271, 728, 941, 13777, 850, 2394, 621, 729, 1336, 602, 512, 32500, 2135, 12682, 25523, 18608, 728, 5249, 1134, 269, 4107, 1558, 520, 4185, 27857, 941, 6213, 547, 2011, 543, 7509, 269, 1717, 267, 513, 2196, 609, 513, 19872, 678, 583, 1156, 1756, 6070, 5249, 1175, 607, 1134, 607, 519, 606, 5139, 9317, 7623, 269, 901, 2689, 6227, 960, 2094, 1287, 269, 634, 2361, 540, 22169, 2221, 21256, 689, 23139, 8906, 563, 20181, 5860, 4874, 26120, 729, 1336, 950, 2447, 1235, 693, 594, 5746, 6836, 547, 2746, 22904, 531, 24957, 609, 2802, 22005, 543, 3893, 513, 10250, 540, 2011, 538, 519, 10514, 269, 4400, 5860, 4874, 26120, 729, 4362, 676, 20913, 2098, 20672, 2401, 945, 729, 4974, 519, 23731, 518, 25534, 1436, 540, 2802, 22005, 609, 2468, 14007, 531, 26891, 950, 513, 10250, 540, 19695, 689, 513, 13148, 19345, 10514, 5795, 1152, 476, 272, 1532, 583, 2940, 269, 1879, 646, 6836, 24489, 25543, 18608, 728, 670, 7894, 292, 4646, 269, 14844, 3279, 4362, 8305, 846, 29193, 12249, 1436, 950, 646, 6905, 519, 5114, 547, 4412, 22005, 269, 5450, 718, 18152, 27857, 585, 519, 12249, 1436, 540, 522, 548, 325, 1231, 676, 918, 7530, 5652, 941, 4362, 950, 513, 2875, 8959, 547, 24120, 513, 12249, 1436, 609, 9436, 269, 1773, 6064, 9116, 540, 5918, 303, 2632, 4362, 4874, 6025, 25523, 22381, 19660, 26120, 264, 950, 513, 12718, 1634, 547, 581, 2407, 540, 519, 1395, 9593, 5950, 1100, 1395, 9593, 269, 18430, 532, 22169, 941, 1336, 676, 1744, 4275, 330, 11867, 267, 5839, 13312, 1301, 573, 543, 1261, 1122, 518, 950, 513, 2875, 2322, 476, 1911, 271, 2053, 1932, 1454, 18463, 538, 513, 12249, 1436, 540, 1035, 25485, 2940, 269, 1323, 22752, 5114, 267, 27229, 547, 3313, 519, 1543, 540, 5595, 7554, 267, 4951, 875, 547, 546, 2100, 621, 563, 11754, 547, 891, 2164, 540, 694, 16781, 760, 640, 267, 670, 5861, 269, 9466, 779, 6602, 540, 8652, 321, 2610, 1247, 3843, 547, 2569, 513, 5595, 6125, 609, 546, 756, 528, 2033, 269, 18564, 519, 1297, 540, 17587, 26065, 13752, 585, 519, 1585, 8906, 563, 763, 5048, 568, 267, 952, 1945, 8966, 4523, 267, 2638, 547, 1294, 1946, 563, 16391, 545, 19857, 6954, 543, 3608, 5478, 540, 6198, 1242, 27794, 6289, 665, 15009, 1023, 3842, 835, 1790, 582, 512, 30802, 6547, 267, 700, 597, 784, 19358, 267, 645, 26820, 29399, 267, 715, 908, 18708, 267, 28001, 9149, 267, 1627, 559, 514, 13198, 267, 654, 523, 344, 328, 6931, 543, 2473, 21838, 784, 16441, 267, 5682, 6314, 1421, 476, 1001, 274, 267, 476, 1428, 267, 476, 26951, 280, 1700, 26801, 274, 267, 20396, 281, 476, 1015, 269, 9818, 280, 14727, 274, 24774, 30156, 4792, 288, 454, 293, 23341, 1242, 27794, 6289, 665, 15009, 1023, 941, 4646, 3842, 3440, 17819, 4553, 676, 24318, 1783, 1709, 269, 634, 5114, 729, 2196, 609, 513, 1804, 4430, 540, 5256, 545, 606, 5139, 20183, 538, 476, 736, 260, 25694, 16247, 545, 3679, 269, 3143, 5214, 19857, 729, 1459, 269, 2991, 3440, 532, 585, 606, 5662, 267, 24318, 1783, 1709, 585, 476, 278, 3108, 5795, 513, 476, 8618, 260, 6556, 609, 476, 271, 269, 4097, 4110, 540, 18839, 269, 898, 1522, 581, 1434, 547, 12990, 1447, 5256, 545, 3679, 543, 547, 2196, 513, 3803, 8258, 19479, 676, 8022, 269, 4033, 1395, 12002, 1223, 581, 6836, 607, 1134, 269, 0, 26872, 674, 7238, 2958, 18033, 29868, 293, 2176, 7564, 1777, 19314, 338, 16577, 267, 1590, 11851, 513, 3982, 3310, 2390, 519, 3618, 779, 6419, 2783, 563, 8170, 10787, 611, 599, 781, 17033, 7811, 1179, 2827, 267, 2523, 593, 3196, 543, 2339, 267, 621, 568, 1360, 2352, 547, 1106, 513, 1175, 17748, 6902, 789, 616, 865, 13737, 267, 543, 865, 1114, 689, 519, 2093, 799, 2367, 540, 2257, 1631, 2356, 3180, 593, 891, 5396, 282, 789, 616, 6829, 538, 1893, 1419, 4190, 267, 855, 7282, 519, 3169, 2495, 540, 799, 621, 568, 4749, 1034, 2352, 547, 1205, 513, 2312, 10206, 269, 3571, 2247, 5526, 689, 2038, 2053, 547, 723, 1044, 829, 341, 12184, 676, 1079, 6378, 2093, 2433, 538, 519, 1101, 1747, 267, 676, 519, 24235, 602, 782, 519, 19183, 540, 1648, 616, 11214, 4448, 282, 543, 538, 519, 2034, 267, 602, 519, 2962, 540, 4229, 693, 513, 3845, 1510, 513, 5832, 540, 3310, 11006, 873, 1927, 267, 568, 606, 21494, 640, 269, 2353, 1010, 8783, 1179, 2827, 10443, 538, 835, 610, 824, 540, 891, 1079, 9055, 269, 1261, 729, 7683, 8097, 2358, 2390, 519, 5872, 540, 519, 4229, 540, 2470, 281, 262, 5275, 538, 713, 1259, 646, 4362, 5292, 3279, 545, 15632, 267, 11275, 334, 3887, 10431, 640, 267, 519, 2962, 540, 11275, 1143, 593, 1769, 267, 543, 519, 5203, 1275, 540, 519, 6419, 2783, 540, 2339, 269, 1261, 729, 7683, 7722, 538, 3843, 547, 3142, 28040, 2787, 3294, 883, 519, 19259, 539, 5858, 267, 855, 2760, 16309, 267, 543, 5206, 513, 1957, 10503, 1010, 2942, 6901, 13886, 3040, 11872, 593, 519, 2009, 4039, 566, 540, 32322, 1412, 609, 24542, 610, 14333, 267, 855, 713, 729, 711, 3370, 269, 3973, 646, 267, 899, 645, 8113, 990, 747, 267, 2219, 602, 782, 519, 9259, 540, 2470, 1223, 581, 20039, 585, 1510, 519, 1139, 3789, 540, 519, 6228, 540, 2339, 267, 676, 14322, 1978, 18013, 540, 3196, 269, 634, 2360, 4767, 616, 3976, 9277, 547, 581, 4547, 827, 676, 519, 5872, 540, 1585, 4229, 11851, 532, 2933, 693, 513, 2016, 1448, 538, 2230, 267, 543, 711, 267, 607, 568, 3622, 5156, 267, 676, 519, 1114, 1860, 687, 540, 2339, 269, 3571, 2856, 540, 10414, 262, 729, 602, 540, 513, 6405, 6228, 11207, 693, 13065, 609, 519, 4214, 540, 519, 22301, 267, 642, 714, 1421, 602, 799, 7472, 610, 11148, 547, 3132, 5788, 332, 10056, 9538, 898, 6157, 693, 1101, 8289, 5526, 547, 581, 513, 13737, 1249, 602, 4352, 10787, 611, 599, 781, 2247, 8604, 547, 581, 7683, 2324, 538, 713, 4287, 267, 543, 4352, 646, 22234, 8097, 1379, 540, 519, 1360, 5207, 2186, 267, 2943, 646, 1705, 711, 3801, 547, 1118, 11050, 1999, 5209, 540, 519, 30424, 540, 891, 1585, 3029, 540, 1648, 282, 3976, 267, 585, 3236, 267, 540, 11589, 3002, 538, 2474, 540, 7344, 5163, 269, 901, 1616, 630, 553, 621, 6157, 5526, 264, 538, 10787, 611, 599, 781, 2247, 21256, 689, 519, 1249, 602, 646, 1705, 711, 4628, 10146, 519, 7182, 540, 519, 4031, 540, 1648, 607, 6956, 676, 22697, 267, 15029, 519, 7411, 630, 514, 519, 1439, 513, 21042, 9713, 835, 264, 799, 646, 5433, 538, 18468, 602, 1079, 4703, 693, 513, 3845, 1223, 957, 2390, 835, 1776, 267, 3366, 1864, 547, 8263, 519, 6228, 540, 3515, 540, 3196, 262, 11006, 607, 621, 941, 519, 454, 321, 3672, 1927, 269, 1452, 3515, 540, 3196, 646, 2965, 12034, 538, 519, 14258, 799, 4401, 2083, 902, 2039, 2933, 5180, 513, 11275, 267, 543, 1010, 12667, 9345, 5961, 547, 1010, 2247, 781, 3750, 519, 6228, 540, 2147, 3515, 540, 3196, 262, 8164, 1022, 2962, 693, 513, 3845, 4386, 282, 3976, 646, 14753, 540, 519, 26149, 540, 519, 1412, 6419, 3515, 540, 3196, 10086, 646, 2369, 2478, 1585, 5686, 540, 3515, 454, 1993, 3196, 267, 3515, 540, 1178, 10903, 908, 3196, 267, 1346, 540, 6850, 3613, 1738, 1802, 322, 1892, 512, 542, 267, 1346, 540, 6419, 2962, 267, 543, 1866, 851, 1136, 540, 513, 6422, 1915, 1522, 581, 5310, 3769, 25692, 265, 10414, 10086, 3081, 14977, 526, 718, 267, 2108, 8604, 547, 1864, 606, 11769, 23029, 2059 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 344, 267, 20999, 269, 476, 1960, 272, 269, 1323, 6827, 1537, 22627, 269, 9628, 281, 2160, 540, 9628, 4964, 563, 300, 1638, 518, 267, 6341, 13183, 320, 269, 476, 1001, 273, 269, 968, 8072, 10521, 18467, 685, 6100, 769, 13474, 267, 7111, 7170, 543, 17905, 267, 12995, 676, 25014, 3821, 918, 269, 1284, 597, 269, 5291, 2517, 788, 816, 269, 534, 340, 12975, 28898, 270, 1952, 338, 270, 1504, 11988, 270, 1613, 11305, 870, 787, 260, 273, 290, 266, 333, 894, 266, 27583, 266, 663, 266, 1815, 1108, 270, 279, 6924, 272, 270, 577, 6860, 11258, 258, 339, 665, 318, 5658, 518, 268, 279, 630, 17739, 539, 476, 279, 5437, 476, 1001, 274, 1040, 2052, 828, 571, 281, 4888, 308, 661, 4964, 563, 300, 1495, 710, 267, 30622, 517, 269, 476, 1960, 280, 269, 968, 306, 5306, 4248, 6100, 769, 17865, 4248, 267, 645, 4157, 340, 6441, 1551, 978, 599, 25109, 6390, 10418, 267, 476, 2420, 1700, 276, 269, 17638, 281, 21469, 338, 563, 300, 684, 2426, 584, 337, 267, 4303, 3387, 531, 760, 340, 267, 1696, 620, 269, 476, 2735, 278, 269, 12409, 20126, 540, 519, 13067, 601, 1343, 2578, 637, 540, 519, 20233, 333, 3620, 777, 8500, 16323, 267, 29036, 23172, 1335, 8092, 269, 962, 597, 337, 330, 8403, 281, 20233, 333, 327, 777, 8500, 13067, 601, 1343, 5948, 563, 10468, 340, 523, 26709, 339, 267, 20913, 269, 476, 1960, 274, 269, 968, 312, 1054, 340, 962, 785, 328, 543, 717, 534, 2742, 6100, 4750, 540, 8241, 5525, 476, 4343, 281, 476, 272, 1700, 1556, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 13893, 25396, 6795, 274, 6021, 274, 9262, 272, 5379, 454, 301, 545, 565, 267, 23436, 269, 476, 1960, 274, 269, 968, 290, 11857, 267, 11426, 543, 21664, 6100, 17828, 19468, 476, 272, 270, 273, 281, 476, 2537, 1700, 4029, 563, 301, 4899, 24540, 269, 476, 1220, 280, 269, 3281, 6160, 800, 9752, 538, 2296, 585, 519, 3689, 9050, 25980, 540, 3962, 3427, 4303, 269, 16817, 281, 4972, 540, 4065, 543, 9751, 563, 301, 4899, 24540, 10029, 269, 476, 3707, 271, 1700, 5038, 269, 7111, 10029, 18103, 12099, 2920, 563, 302, 685, 10673, 24274, 267, 13690, 267, 543, 3967, 564, 23765, 269, 476, 1001, 272, 269, 968, 8794, 717, 534, 2742, 11310, 19457, 607, 513, 1546, 3712, 517, 2358, 13979, 547, 10985, 12020, 543, 11120, 10949, 6100, 9338, 2752, 476, 1704, 270, 273, 281, 476, 15389, 1700, 6321, 563, 302, 3944, 1180, 6261, 1046, 518, 267, 10370, 526, 517, 267, 1696, 620, 1421, 32308, 269, 476, 1001, 274, 269, 6176, 16370, 543, 7087, 18877, 269, 2052, 828, 571, 281, 3642, 2969, 306, 3041, 3194, 563, 15031, 4459, 267, 24697, 269, 476, 1220, 279, 269, 968, 300, 559, 2869, 686, 6100, 715, 2998, 517, 329, 809, 476, 3451, 281, 476, 7871, 1700, 2568, 563, 15031, 4459, 267, 24697, 267, 30683, 29385, 543, 21142, 13340, 269, 476, 1220, 279, 269, 31436, 584, 571, 10275, 584, 1663, 269, 7705, 25951, 281, 19164, 11310, 31913, 3194, 10418, 563, 8110, 9469, 267, 24981, 267, 543, 16205, 807, 18999, 2023, 267, 32308, 269, 476, 1220, 279, 269, 3689, 26880, 269, 24332, 281, 24332, 2160, 14539, 563, 303, 10455, 577, 267, 30227, 267, 543, 12756, 1855, 25564, 10011, 21034, 269, 476, 1220, 278, 269, 769, 18361, 540, 11059, 3194, 267, 12995, 676, 8834, 17217, 543, 23664, 776, 17659, 12064, 267, 476, 4391, 280, 1700, 5952, 269, 5507, 281, 590, 17803, 563, 28403, 1047, 269, 476, 1001, 274, 269, 968, 1432, 1772, 1160, 12723, 6100, 5291, 2517, 4178, 269, 13440, 1758, 1047, 3820, 28898, 11320, 1506, 270, 6343, 28104, 3491, 12723, 630, 17739, 539, 476, 1321, 5437, 476, 1001, 274, 1916, 3725, 2106, 9529, 267, 9400, 808, 269, 476, 1220, 276, 269, 968, 763, 4065, 540, 8241, 16971, 543, 8776, 637, 26463, 3674, 1633, 518, 4841, 6100, 19974, 4065, 476, 11025, 270, 272, 281, 476, 4029, 1700, 277, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 1822, 280, 2412, 6321, 269, 1220, 276, 269, 10755, 22659, 4391, 454, 305, 1054, 6202, 267, 22956, 269, 476, 1220, 280, 269, 968, 28989, 3557, 540, 16457, 6100, 634, 8241, 267, 1724, 5988, 269, 5291, 2517, 4178, 31677, 320, 26894, 2593, 28898, 30406, 4882, 13446, 15581, 6361, 268, 3530, 4202, 23995, 800, 3887, 277, 325, 337, 326, 277, 333, 277, 268, 9340, 9340, 6434, 274, 2004, 278, 275, 630, 17739, 539, 476, 1724, 5437, 476, 1001, 274, 1916, 4537, 17369, 267, 6348, 773, 269, 476, 1960, 277, 269, 3143, 18103, 2435, 7225, 8540, 269, 2052, 828, 571, 281, 16971, 5525, 4964, 563, 1805, 889, 15838, 267, 808, 650, 267, 543, 8834, 14480, 8663, 6953, 718, 269, 476, 1960, 275, 269, 968, 312, 1054, 340, 962, 785, 328, 779, 2048, 307, 805, 344, 685, 6100, 15019, 8535, 476, 1724, 270, 274, 281, 476, 25838, 1700, 6795, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 278, 13478, 271, 2918, 14625, 4968, 1822, 278, 1240, 273, 454, 307, 600, 529, 926, 267, 8071, 320, 269, 476, 1960, 279, 269, 968, 28694, 267, 17496, 543, 11873, 6100, 7909, 807, 476, 6924, 281, 476, 27149, 1700, 3583, 563, 1320, 1682, 517, 267, 1325, 3570, 267, 17363, 11023, 1097, 543, 590, 3415, 320, 13428, 576, 269, 476, 1001, 271, 269, 968, 294, 534, 2742, 7869, 543, 12059, 4149, 10725, 22505, 268, 14946, 618, 5358, 6996, 585, 16971, 543, 8776, 637, 26463, 29474, 15272, 6100, 22505, 5004, 5623, 476, 1724, 270, 275, 281, 476, 27123, 1700, 1789, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 4732, 332, 337, 269, 1001, 271, 269, 4905, 269, 9826, 454, 307, 7758, 1195, 333, 267, 22123, 269, 476, 1220, 277, 269, 968, 306, 29330, 2334, 29553, 6100, 12745, 476, 4029, 281, 476, 14681, 1700, 5038, 563, 1765, 1220, 278, 269, 968, 2691, 5272, 7853, 1703, 8625, 3973, 594, 11910, 2334, 2290, 6100, 12745, 476, 3953, 281, 476, 10755, 1700, 2641, 563, 1765, 1220, 280, 269, 968, 295, 2788, 10158, 6100, 8535, 1108, 5245, 476, 4029, 281, 476, 6078, 1700, 7830, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 32146, 3393, 279, 6872, 269, 1220, 280, 269, 10441, 13679, 8064, 454, 307, 7758, 1195, 333, 267, 22123, 267, 681, 7431, 3619, 1758, 25475, 8176, 543, 15593, 11986, 715, 592, 326, 527, 269, 476, 1001, 274, 269, 968, 11847, 27074, 566, 540, 14576, 10049, 547, 8081, 3955, 23400, 28298, 540, 11310, 827, 5678, 538, 519, 13690, 828, 2917, 16323, 540, 19566, 5245, 6100, 769, 29510, 19932, 15332, 21940, 2456, 267, 12995, 676, 6307, 13191, 7439, 1845, 1696, 620, 1421, 476, 1240, 1700, 2190, 269, 24872, 281, 7690, 585, 29510, 19932, 563, 307, 584, 11017, 267, 3733, 325, 1415, 269, 476, 1220, 278, 269, 968, 9209, 2685, 26726, 6100, 8535, 1108, 5245, 476, 3066, 281, 476, 11152, 1700, 10482, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 32146, 3393, 279, 6872, 269, 1220, 278, 269, 10441, 13679, 3445, 454, 1765, 1001, 273, 269, 968, 306, 784, 6261, 334, 4479, 540, 6239, 5245, 6100, 5678, 11657, 566, 543, 13517, 476, 1015, 281, 476, 1428, 1700, 3607, 563, 307, 584, 11017, 267, 3733, 325, 1415, 267, 543, 24553, 918, 5255, 269, 476, 1220, 279, 269, 968, 763, 5678, 540, 16971, 14576, 338, 6100, 769, 5651, 874, 1108, 543, 5678, 3778, 267, 12995, 676, 1849, 18311, 645, 1077, 333, 267, 21861, 342, 2106, 27213, 543, 30511, 320, 12130, 7942, 267, 476, 15757, 1700, 8146, 269, 24545, 281, 5484, 329, 7530, 563, 307, 584, 11017, 267, 3733, 325, 1415, 267, 25414, 320, 6008, 6277, 1231, 543, 15537, 2859, 344, 267, 32308, 269, 476, 1001, 271, 269, 8241, 4750, 540, 23008, 2524, 476, 1001, 271, 270, 272, 563, 310, 20490, 267, 24796, 267, 1696, 620, 269, 476, 2735, 280, 269, 7327, 532, 519, 8092, 267, 6178, 532, 519, 8092, 269, 2983, 13717, 281, 1546, 752, 514, 2160, 4964, 563, 26156, 2421, 267, 8349, 267, 543, 1546, 4011, 1695, 670, 11445, 6363, 549, 601, 747, 269, 476, 1220, 274, 269, 968, 13706, 725, 538, 12160, 2218, 11059, 3194, 1879, 11554, 9061, 2275, 738, 12147, 6100, 674, 16288, 1912, 517, 12278, 320, 1696, 8298, 30249, 539, 3821, 476, 4649, 281, 476, 4968, 1700, 276, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 12893, 280, 270, 1822, 5881, 274, 26562, 454, 19365, 338, 267, 27211, 269, 476, 2735, 277, 269, 634, 962, 565, 20692, 543, 4256, 8092, 269, 2052, 828, 571, 281, 3642, 3008, 563, 312, 597, 337, 330, 8403, 7991, 3427, 11059, 6828, 269, 476, 2735, 279, 269, 27870, 513, 717, 534, 2742, 15099, 538, 962, 565, 20692, 12140, 269, 962, 597, 337, 330, 8403, 281, 962, 597, 337, 330, 8403, 7991, 3427, 563, 312, 312, 293, 269, 476, 1220, 273, 269, 717, 12609, 15048, 593, 7087, 8535, 543, 13437, 563, 1765, 1001, 274, 269, 717, 12609, 16635, 269, 5291, 2517, 4178, 13885, 344, 325, 2593, 28898, 630, 17739, 539, 476, 736, 5239, 476, 1001, 274, 1916, 312, 684, 1575, 514, 340, 267, 8895, 1551, 342, 8500, 267, 1696, 620, 269, 476, 2735, 279, 269, 4446, 2426, 320, 15048, 563, 312, 684, 1575, 514, 340, 267, 13495, 1177, 8500, 269, 476, 1960, 271, 269, 968, 23458, 543, 5295, 6100, 769, 5678, 20904, 267, 5295, 543, 4065, 538, 8241, 16971, 12745, 338, 267, 12995, 676, 2441, 710, 9546, 2023, 543, 5261, 17378, 15838, 267, 476, 274, 1700, 277, 269, 16817, 281, 24857, 308, 4964, 563, 1765, 1960, 275, 269, 968, 312, 1054, 340, 962, 785, 328, 6100, 17813, 543, 4147, 476, 3374, 270, 275, 281, 476, 14625, 1700, 736, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 14056, 278, 270, 27157, 277, 4375, 6924, 280, 29889, 4335, 31404, 454, 313, 528, 322, 267, 681, 269, 6424, 269, 476, 1960, 277, 269, 962, 565, 20692, 5336, 24048, 9218, 267, 3115, 11781, 269, 15506, 3832, 3271, 281, 15506, 3832, 3271, 5441, 563, 290, 1941, 267, 26826, 269, 476, 1220, 272, 320, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 24332, 267, 476, 279, 4728, 269, 14675, 10916, 563, 1765, 1220, 272, 321, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 24332, 267, 476, 2918, 2904, 269, 14675, 10916, 563, 1765, 1220, 276, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 2052, 828, 571, 281, 2817, 7732, 540, 5245, 269, 476, 25396, 26783, 4343, 269, 14675, 10916, 563, 1765, 1220, 279, 269, 968, 17556, 1597, 808, 2086, 6359, 514, 11985, 18536, 26906, 676, 26826, 12397, 6100, 2052, 828, 571, 281, 2817, 7732, 540, 5245, 269, 476, 275, 2767, 278, 2767, 1724, 269, 14675, 10916, 563, 8624, 10696, 12942, 269, 476, 2735, 275, 269, 918, 3019, 756, 9346, 9412, 269, 7705, 25951, 281, 1955, 1706, 10937, 594, 7876, 303, 1911, 272, 269, 700, 303, 2594, 563, 1765, 2735, 277, 269, 5274, 11146, 269, 645, 5142, 321, 2033, 281, 32254, 4103, 31266, 277, 1321, 273, 269, 700, 303, 2594, 563, 292, 770, 17714, 269, 476, 1001, 273, 269, 2871, 342, 752, 269, 715, 327, 592, 684, 321, 8500, 281, 5101, 17714, 661, 297, 9826, 269, 3281, 716, 1167, 563, 294, 1551, 534, 8932, 269, 476, 1001, 271, 269, 717, 1551, 534, 8932, 630, 290, 10635, 617, 850, 29321, 1040, 962, 597, 337, 330, 8403, 281, 20233, 333, 327, 777, 8500, 13067, 601, 1343, 5948, 269, 3281, 716, 1167, 563, 7883, 13860, 269, 476, 2735, 273, 269, 13336, 540, 9255, 269, 17638, 281, 654, 12788, 476, 7785, 14096, 269, 700, 303, 2594, 563, 297, 28427, 267, 15537, 267, 546, 597, 269, 476, 1220, 271, 269, 962, 565, 20692, 15196, 269, 24332, 281, 20066, 8606, 916, 476, 13136, 7918, 16256, 310, 269, 23861, 563, 298, 11481, 267, 6754, 267, 543, 519, 11619, 12310, 269, 476, 1960, 273, 269, 26726, 12085, 269, 24332, 281, 631, 2313, 3336, 667, 28906, 4366, 269, 3281, 716, 1167, 563, 300, 573, 9519, 13813, 269, 476, 2735, 278, 269, 667, 19342, 543, 28545, 269, 17638, 281, 595, 7034, 15509, 7034, 29121, 22650, 273, 269, 3281, 716, 1167, 563, 301, 629, 541, 548, 330, 269, 476, 1960, 280, 269, 16189, 342, 584, 337, 330, 630, 289, 2313, 13933, 1040, 16817, 281, 4787, 4883, 344, 8127, 8535 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 485, 337, 268, 25207, 268, 391, 490, 5953, 339, 26444, 15899, 267, 519, 9030, 3090, 540, 519, 4168, 4984, 267, 11291, 532, 519, 14265, 322, 32267, 542, 540, 4906, 2441, 543, 519, 28099, 25977, 2640, 540, 1010, 32425, 543, 2669, 269, 634, 3444, 568, 3976, 513, 1129, 1312, 540, 2441, 5128, 543, 540, 519, 5132, 540, 10271, 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 ]
[ 692, 1012, 19809, 593, 6249, 281, 834, 30791, 22953, 543, 4856, 21975, 257, 1765, 19809, 13973, 1384, 30791, 22953, 543, 4856, 21975, 454, 272, 268, 272, 12430, 22953, 543, 4856, 21975, 3848, 18479, 1597, 23184, 28940, 1879, 596, 723, 6192, 713, 3184, 267, 596, 786, 581, 2111, 547, 281, 21450, 8571, 513, 14649, 6516, 269, 29375, 302, 13760, 543, 4612, 519, 2474, 8200, 543, 4830, 4756, 269, 8946, 12767, 12433, 543, 4612, 519, 11664, 540, 9756, 267, 519, 11664, 540, 8990, 267, 543, 519, 3044, 5470, 540, 7447, 269, 674, 21788, 18430, 513, 1449, 540, 8367, 547, 3313, 2436, 519, 2551, 11664, 540, 9756, 568, 1114, 689, 4642, 269, 7054, 7773, 270, 18250, 294, 3863, 6953, 650, 9736, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 1421, 476, 1960, 280, 692, 30791, 22953, 543, 4856, 21975, 454, 272, 268, 272, 12430, 22953, 543, 4856, 21975, 3848, 18479, 1597, 23184, 28940, 1879, 596, 723, 6192, 713, 3184, 267, 596, 786, 581, 2111, 547, 281, 674, 25893, 12433, 519, 2547, 10945, 9695, 1899, 269, 16038, 311, 20472, 543, 4612, 6015, 11996, 543, 12605, 11996, 585, 519, 8200, 4756, 269, 10323, 309, 2894, 5590, 909, 543, 4612, 606, 30654, 3349, 269, 7054, 7773, 270, 18250, 294, 3863, 6953, 650, 9736, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 1421, 476, 1960, 280, 692, 291, 8817, 24438, 281, 634, 4756, 602, 568, 1373, 10567, 610, 6059, 563, 1556, 268, 274, 4856, 21975, 5811, 4856, 21975, 5811, 281, 589, 1895, 540, 8579, 2553, 1031, 547, 2268, 519, 4222, 540, 519, 2078, 630, 14585, 21975, 264, 1063, 1079, 4632, 269, 2480, 2660, 12810, 281, 589, 5750, 602, 28420, 519, 2078, 1063, 519, 1079, 4632, 540, 1719, 269, 667, 8817, 24438, 281, 634, 4756, 602, 568, 1373, 10567, 610, 6059, 269, 18763, 24438, 281, 634, 4756, 602, 2488, 519, 4493, 585, 16759, 269, 898, 568, 519, 27667, 4756, 780, 763, 3213, 324, 2310, 540, 4856, 21975, 267, 678, 454, 1556, 268, 275, 634, 3213, 324, 2310, 540, 4856, 21975, 267, 678, 634, 3213, 324, 2310, 540, 4856, 21975, 630, 337, 264, 568, 513, 2268, 540, 519, 4222, 540, 519, 2078, 1063, 1079, 4632, 269, 898, 3340, 8884, 610, 5223, 27214, 4705, 1239, 630, 19702, 1963, 1040, 898, 666, 2039, 689, 547, 476, 272, 269, 876, 269, 18880, 540, 610, 476, 272, 269, 876, 5815, 3501, 543, 2178, 9756, 269, 18880, 2673, 547, 476, 271, 269, 271, 5815, 4617, 9756, 269, 20134, 2418, 5815, 606, 11201, 2078, 543, 2318, 2418, 5815, 513, 1463, 2078, 780, 8110, 2739, 20134, 4856, 21975, 454, 1556, 268, 276, 17828, 20134, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 8110, 2739, 15474, 4856, 21975, 454, 1556, 268, 277, 17828, 15474, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 1556, 268, 278, 20023, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 1805, 3994, 15474, 4856, 21975, 454, 1556, 268, 279, 16200, 15474, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 13528, 3121, 585, 9756, 11664, 630, 337, 994, 1556, 268, 280, 16754, 585, 9756, 11664, 630, 337, 2020, 290, 4141, 2310, 540, 10318, 1588, 454, 1556, 268, 1015, 3213, 324, 2310, 540, 10318, 1588, 634, 3213, 324, 2310, 540, 10318, 1588, 267, 678, 273, 910, 519, 8167, 540, 519, 2698, 8390, 538, 519, 8200, 4756, 962, 602, 568, 6045, 610, 20039, 585, 676, 519, 8390, 538, 519, 4830, 4756, 2473, 269, 634, 11664, 540, 8990, 568, 519, 4009, 540, 519, 11664, 540, 9756, 267, 543, 9832, 689, 476, 271, 547, 476, 272, 780, 1556, 268, 1556, 12327, 21283, 4041, 476, 272, 8355, 8581, 267, 519, 2875, 1560, 7022, 693, 24729, 539, 334, 3557, 2160, 267, 568, 7255, 827, 519, 1942, 540, 9499, 269, 1677, 1683, 5813, 883, 519, 1966, 646, 2824, 338, 513, 3732, 540, 5216, 9499, 4867, 593, 9042, 538, 519, 21869, 648, 269, 1261, 16976, 547, 1353, 519, 2078, 1063, 519, 1297, 540, 3817, 538, 519, 1257, 543, 519, 1942, 269, 30770, 519, 9756, 11664, 780, 1556, 268, 1321, 12327, 21283, 4041, 476, 272, 4797, 692, 3721, 476, 273, 281, 670, 271, 568, 15653, 952, 512, 285, 274, 269, 16960, 610, 952, 512, 283, 268, 274, 269, 16960, 267, 17093, 284, 277, 267, 19569, 350, 815, 269, 6349, 454, 1556, 268, 1724, 12327, 21283, 4041, 476, 272, 4797, 678, 284, 269, 277, 1691, 630, 591, 1518, 264, 4530, 519, 8367, 602, 972, 568, 1100, 9756, 538, 519, 2551, 269, 2422, 513, 1547, 6349, 4644, 1377, 269, 5153, 476, 272, 281, 670, 271, 2433, 634, 9756, 538, 519, 2551, 568, 4642, 269, 670, 272, 281, 634, 9756, 538, 519, 2551, 568, 711, 4642, 269, 5153, 476, 273, 281, 670, 271, 568, 15653, 952, 512, 285, 274, 269, 16960, 610, 952, 512, 283, 268, 274, 269, 16960, 267, 17093, 284, 277, 267, 19569, 350, 815, 269, 6349, 692, 763, 1449, 18802, 568, 512, 815, 476, 272, 269, 3445, 276, 276, 267, 17223, 676, 454, 1556, 268, 1691, 12327, 21283, 4041, 476, 272, 4797, 634, 1449, 18802, 568, 512, 815, 2073, 17223, 676, 609, 630, 333, 268, 273, 264, 5232, 540, 5191, 5153, 476, 275, 281, 670, 271, 568, 711, 15653, 692, 1556, 268, 1428, 22953, 5811, 20828, 281, 547, 3313, 519, 9695, 3830, 282, 621, 568, 1031, 547, 3589, 519, 1871, 540, 519, 8200, 4756, 630, 312, 264, 1759, 593, 519, 4830, 4756, 630, 311, 1040, 26488, 281, 2824, 513, 3732, 689, 519, 2551, 543, 1592, 519, 19610, 1239, 585, 1142, 8343, 282, 2721, 513, 14649, 6516, 547, 2285, 513, 3308, 24575, 540, 519, 2078, 282, 3313, 519, 9695, 3830, 780, 1492, 9695, 3830, 281, 962, 685, 284, 513, 1341, 536, 311, 267, 1141, 912, 1556, 268, 1626, 22953, 5811, 519, 9695, 3830, 281, 962, 685, 284, 513, 1341, 536, 311, 267, 1141, 281, 962, 685, 568, 519, 3328, 10567, 1871, 540, 962, 585, 1022, 2473, 269, 513, 568, 519, 962, 25435, 267, 610, 519, 6059, 962, 1871, 950, 2473, 284, 271, 536, 568, 519, 9386, 540, 519, 1899, 267, 610, 519, 3328, 1689, 538, 962, 685, 585, 1142, 1689, 540, 835, 1770, 538, 2473, 2547, 10945, 6240, 568, 1031, 547, 3489, 513, 543, 536, 1384, 3528, 519, 2547, 10945, 6240, 267, 536, 284, 269, 30203, 1691, 543, 513, 284, 1626, 269, 9826, 4037, 454, 1556, 268, 1704, 12327, 21283, 4041, 476, 273, 3763, 513, 9695, 3830, 585, 519, 1344, 2016, 538, 12327, 21283, 4041, 476, 272, 602, 666, 581, 1031, 547, 7447, 519, 9513, 3902, 1759, 593, 519, 1297, 540, 3817, 269, 1635, 519, 2547, 10945, 6240, 267, 536, 284, 543, 513, 284, 962, 685, 815, 2473, 692, 763, 9208, 18438, 540, 6480, 1493, 454, 1556, 268, 1240, 634, 9208, 18438, 540, 6480, 1493, 634, 3044, 5470, 540, 7447, 3800, 519, 14649, 267, 610, 24980, 267, 540, 519, 4767, 2418, 1472, 519, 1899, 540, 9695, 634, 12596, 602, 616, 1031, 547, 12337, 519, 3044, 5470, 1384, 10112, 636, 6877, 7201, 2391, 12430, 22953, 454, 1556, 268, 866, 2667, 636, 6877, 7201, 2391, 12430, 22953, 1280, 1142, 1871, 540, 2473, 267, 972, 568, 513, 1895, 540, 962, 2418, 267, 543, 891, 962, 2418, 616, 7363, 7856, 269, 634, 1797, 540, 891, 3339, 14778, 540, 962, 2418, 782, 9114, 593, 519, 2786, 1899, 540, 9695, 269, 634, 3044, 24017, 540, 891, 3339, 14778, 616, 3160, 269, 634, 962, 2418, 616, 19250, 4830, 269, 901, 1797, 602, 538, 519, 5542, 540, 513, 3732, 267, 519, 962, 2418, 6074, 585, 513, 1880, 2473, 1871, 798, 711, 4096, 593, 519, 962, 2418, 585, 1022, 824, 2473, 2418, 780, 1556, 268, 736, 30151, 3955, 1998, 634, 6015, 8884, 585, 519, 1611, 1871, 540, 962, 585, 513, 2016, 1871, 540, 2473, 568, 2016, 676, 1384, 1556, 268, 2641, 20530, 2109, 3955, 1998, 634, 12605, 8884, 585, 606, 1367, 1871, 540, 962, 585, 513, 2016, 1871, 540, 2473, 568, 2016, 676, 1384, 8196, 519, 1344, 689, 12327, 21283, 4041, 476, 272, 547, 912, 1556, 268, 2420, 12327, 21283, 4041, 476, 274, 2422, 519, 1344, 689, 12327, 21283, 4041, 476, 272, 547, 281, 30770, 519, 3044, 5470, 540, 7447, 281, 3763, 513, 476, 4817, 260, 6015, 8884, 585, 782, 476, 20981, 2985, 9499, 281, 1496, 2190, 269, 6734, 267, 476, 1789, 269, 1839, 316, 7638, 1518, 3763, 513, 476, 4817, 260, 12605, 8884, 585, 513, 476, 20981, 2985, 1257, 281, 1496, 1240, 269, 6021, 267, 476, 3607, 269, 866, 316, 7638, 1518, 692, 5415, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 454, 1556, 268, 2537, 2859, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 692, 5415, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 454, 1556, 268, 2190, 2859, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 0, 258, 27387, 281, 594, 29186, 693, 30731, 2439, 272, 269, 12361, 594, 29186, 693, 30731, 2439, 296, 1174, 519, 6128, 3297, 713, 543, 1223, 3362, 798, 713, 676, 1688, 267, 855, 594, 6415, 2347, 1100, 984, 950, 621, 2501, 547, 4223, 18350, 780, 296, 991, 547, 2328, 513, 4223, 18350, 1922, 4233, 11410, 565, 6230, 602, 786, 2132, 519, 31992, 9971, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 538, 13053, 1106, 585, 4399, 6234, 1535, 3709, 271, 9574, 343, 3709, 272, 9574, 343, 3709, 273, 9574, 315, 24126, 21726, 3709, 333, 4151, 543, 4399, 6234, 535, 3287, 3709, 271, 348, 1070, 325, 3287, 3709, 272, 348, 1070, 325, 3287, 3709, 273, 348, 1070, 315, 24126, 267, 325, 3287, 3709, 333, 16585, 6911, 10190, 594, 723, 547, 2328, 513, 1982, 11410, 565, 318, 7120, 6230, 547, 4729, 535, 3287, 264, 543, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 585, 562, 284, 274, 267, 562, 284, 276, 267, 543, 562, 284, 1015, 267, 543, 1287, 1449, 713, 593, 4399, 6234, 535, 3287, 21174, 2765, 346, 272, 2410, 273, 266, 274, 343, 3867, 273, 3686, 16859, 273, 269, 1411, 3513, 5660, 30731, 538, 513, 1906, 1296, 780, 274, 269, 20323, 17397, 676, 1483, 4820, 272, 270, 273, 454, 296, 1174, 519, 6128, 3297, 713, 543, 1223, 3362, 798, 713, 676, 1688, 267, 855, 594, 6415, 2347, 1100, 984, 950, 621, 2501, 547, 4223, 18350, 780, 296, 991, 547, 2328, 513, 4223, 18350, 1922, 4233, 11410, 565, 6230, 602, 786, 2132, 519, 31992, 9971, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 538, 13053, 1106, 585, 4399, 6234, 1535, 3709, 271, 9574, 343, 3709, 272, 9574, 343, 3709, 273, 9574, 315, 24126, 21726, 3709, 333, 4151, 543, 4399, 6234, 535, 3287, 3709, 271, 348, 1070, 325, 3287, 3709, 272, 348, 1070, 325, 3287, 3709, 273, 348, 1070, 315, 24126, 267, 325, 3287, 3709, 333, 16585, 6911, 10190, 594, 723, 547, 2328, 513, 1982, 11410, 565, 318, 7120, 6230, 547, 4729, 535, 3287, 264, 543, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 585, 562, 284, 274, 267, 562, 284, 276, 267, 543, 562, 284, 1015, 267, 543, 1287, 1449, 713, 593, 4399, 6234, 535, 3287, 21174, 2765, 346, 272, 2410, 273, 266, 274, 343, 3867, 273, 22288, 563, 5278, 948, 593, 713, 1131, 581, 7494, 15874, 780, 275, 269, 20323, 17397, 676, 1483, 4820, 272, 270, 273, 454, 5278, 948, 593, 713, 1131, 581, 7494, 15874, 563, 28646, 596, 1058, 2307, 513, 2243, 1101, 269, 1403, 596, 1174, 519, 6128, 3297, 713, 267, 596, 723, 8373, 609, 519, 5752, 16105, 267, 533, 615, 4257, 286, 1772, 972, 1945, 2027, 596, 991, 948, 609, 610, 798, 596, 2503, 513, 8737, 544, 1922, 850, 286, 0, 258, 11550, 25770, 300, 590, 4953, 476, 278, 630, 291, 16604, 5442, 700, 17614, 13543, 10396, 744, 6311, 476, 3066, 630, 8025, 7838, 306, 31165, 11723, 3499, 24165, 25770, 300, 590, 4953, 476, 278, 630, 291, 16604, 5442, 700, 17614, 13543, 10396, 744, 6311, 476, 3066, 630, 8025, 7838, 306, 31165, 4917, 263, 5472, 14497, 543, 11644, 2338, 616, 8100, 547, 519, 1837, 676, 24347, 565, 282, 585, 3236, 454, 2108, 19865, 476, 272, 269, 1428, 268, 274, 892, 1797, 11644, 476, 274, 538, 3296, 476, 272, 269, 1428, 8094, 19370, 476, 272, 269, 2913, 535, 2433, 1496, 320, 267, 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 ]
[ 6521, 318, 276, 318, 10420, 19304, 8029, 825, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 1038, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 825, 3116, 6769, 1038, 1193, 815, 1193, 31573, 14052, 1038, 2132, 834, 2668, 21860, 8443, 577, 337, 263, 867, 3287, 11924, 276, 264, 952, 630, 867, 3287, 11924, 276, 264, 10922, 476, 14338, 3116, 669, 337, 263, 867, 3287, 11924, 276, 268, 14338, 266, 9834, 264, 585, 1535, 538, 1193, 29573, 5897, 258, 11974, 2436, 513, 5569, 13292, 1022, 540, 519, 2220, 792, 1913, 5018, 538, 4179, 2517, 326, 603, 889, 2593, 270, 27144, 297, 294, 629, 21119, 270, 11386, 3491, 325, 534, 640, 2914, 3581, 270, 4565, 984, 8276, 2120, 270, 4289, 17902, 1477, 258, 3210, 815, 13668, 10947, 2891, 10059, 2517, 3863, 3052, 603, 889, 12528, 20880, 2593, 270, 27144, 297, 294, 629, 21119, 270, 11386, 3491, 325, 534, 640, 2914, 3581, 8276, 2120, 270, 4289, 17902, 14744, 258, 1239, 815, 3210, 269, 3667, 1477, 258, 1239, 1477, 258, 1219, 1527, 2033, 6958, 559, 614, 19304, 8029, 258, 672, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 258, 1363, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 258, 672, 3116, 6769, 258, 1363, 2132, 6936, 952, 1193, 31573, 3890, 538, 1239, 3116, 8771, 5897, 258, 4635, 2569, 2073, 25754, 3092, 519, 1256, 2338, 538, 513, 1592, 1590, 581, 3773, 23228, 3698, 1039, 318, 16838, 19571, 10857, 8029, 825, 952, 7003, 10857, 264, 2652, 476, 271, 6769, 1038, 6318, 28759, 2891, 520, 548, 770, 835, 1871, 1590, 581, 9411, 538, 519, 1592, 14744, 825, 585, 1775, 538, 561, 6769, 1038, 952, 1826, 9217, 264, 11203, 703, 6769, 2018, 6318, 7392, 13286, 2891, 21671, 703, 338, 616, 4847, 14744, 1038, 3116, 6769, 2018, 1780, 1477, 825, 2040, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 1341, 536, 267, 6882, 10857, 10033, 513, 281, 630, 320, 4939, 476, 273, 2652, 476, 271, 1070, 561, 17903, 825, 2132, 2040, 5897, 258, 4635, 2569, 267, 25754, 3092, 519, 7887, 607, 857, 328, 1915, 538, 513, 2016, 5569, 1590, 581, 1336, 1477, 3698, 2462, 318, 10420, 23919, 19304, 8029, 825, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 1038, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 825, 3116, 6769, 1038, 1267, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 952, 3921, 5416, 264, 3436, 3921, 6357, 264, 3116, 536, 267, 1193, 3418, 1038, 2132, 1267, 5897, 258, 4635, 2569, 267, 25754, 1599, 1169, 3791, 1297, 1590, 581, 3773, 538, 513, 1592, 1477, 3698, 1039, 318, 628, 2273, 19571, 10857, 8029, 825, 952, 7003, 10857, 264, 2652, 476, 271, 6769, 1038, 6318, 28759, 2891, 520, 548, 770, 835, 1871, 1590, 581, 9411, 538, 519, 1592, 14744, 825, 585, 1775, 538, 561, 6769, 1038, 952, 1826, 9217, 264, 11203, 703, 6769, 2018, 6318, 7392, 13286, 2891, 21671, 703, 338, 616, 4847, 14744, 1038, 3116, 6769, 2018, 1780, 1477, 825, 3116, 6769, 1038, 1039, 318, 628, 2273, 20311, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 1341, 536, 267, 561, 314, 273, 15311, 274, 29573, 1038, 2132, 1039, 318, 628, 2273, 20311, 5897, 258, 4635, 28219, 842, 267, 4351, 26716, 4069, 543, 1592, 2649, 687, 267, 476, 1428, 4351, 918, 4696, 6395, 4696, 24884, 291, 1297, 10824, 1590, 581, 6383, 267, 1141, 918, 288, 568, 6378, 267, 667, 6763, 585, 513, 7857, 267, 543, 589, 6763, 585, 13317, 26897, 1477, 3698, 1003, 318, 30066, 3287, 8782, 25605, 3299, 2608, 344, 8029, 825, 22843, 815, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 1412, 291, 3299, 1412, 292, 3299, 1412, 293, 3299, 1412, 294, 3299, 1412, 295, 3299, 1412, 296, 3299, 1412, 297, 3299, 1412, 298, 3299, 1412, 299, 3299, 1412, 300, 3299, 1412, 301, 3299, 1412, 302, 3299, 1412, 303, 3299, 1412, 304, 3299, 1412, 305, 3299, 1412, 306, 3299, 1412, 307, 3299, 1412, 308, 3299, 1412, 309, 3299, 1412, 310, 3299, 1412, 311, 3299, 1412, 312, 3299, 1412, 313, 11172, 1477, 825, 2132, 1496, 343, 1341, 1193, 263, 12690, 27110, 263, 1015, 267, 4200, 4297, 1341, 1193, 263, 12690, 26716, 4069, 263, 2704, 8224, 4297, 1341, 1193, 263, 12690, 26716, 4069, 263, 2704, 8224, 4297, 1341, 1193, 263, 12690, 27110, 263, 1911, 271, 267, 476, 15886, 280, 4297, 585, 1775, 538, 2039, 263, 1428, 13580, 5897, 258, 4635, 519, 1657, 267, 649, 2328, 513, 9864, 1599, 971, 602, 476, 1911, 271, 270, 15886, 280, 616, 2182, 322, 10757, 267, 855, 918, 288, 666, 581, 3177, 5897, 2908, 318, 30066, 815, 9864, 16325, 318, 30066, 3418, 2908, 318, 30066, 2891, 13036, 14744, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5814, 21795, 607, 19073, 692, 3698, 10116, 318, 14179, 2541, 10031, 825, 1239, 815, 19073, 18667, 32269, 3488, 20625, 27406, 3299, 20927, 284, 271, 994, 825, 546, 338, 815, 19073, 2529, 7685, 17338, 16597, 9131, 24127, 11172, 1070, 4994, 284, 335, 323, 30419, 5091, 520, 8135, 17338, 16597, 9131, 14630, 11172, 21875, 825, 546, 338, 337, 815, 546, 338, 269, 637, 2217, 3488, 304, 262, 1040, 8999, 4590, 825, 546, 338, 31014, 815, 546, 338, 337, 31699, 28767, 263, 2444, 2056, 25716, 994, 825, 1820, 263, 1091, 337, 314, 271, 18737, 272, 7481, 825, 1820, 263, 1091, 31014, 314, 271, 18737, 272, 7481, 825, 2034, 318, 14179, 2541, 815, 546, 338, 31014, 314, 272, 2639, 825, 454, 825, 2132, 2034, 318, 14179, 2541, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 10116, 318, 14179, 2541, 4590, 0, 18851, 1477, 825, 9717, 513, 1592, 540, 2338, 543, 513, 1297, 737, 267, 1477, 825, 2132, 2436, 1022, 1079, 2338, 689, 519, 1592, 1039, 909, 547, 737, 269, 5897, 825, 1280, 1383, 267, 2016, 1496, 1015, 267, 476, 1428, 267, 476, 274, 267, 476, 278, 316, 543, 737, 540, 476, 1704, 267, 1477, 825, 2132, 3020, 2094, 476, 1015, 1341, 476, 278, 568, 476, 1704, 23228, 18851, 1477, 3698, 1079, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 737, 8029, 825, 26998, 1112, 815, 15079, 1477, 825, 585, 1775, 538, 2855, 6769, 1038, 26998, 1112, 5157, 316, 815, 7183, 1477, 825, 1247, 7003, 263, 526, 1112, 264, 3436, 476, 271, 6769, 1038, 1775, 815, 26998, 1112, 21014, 14403, 14052, 1038, 952, 630, 330, 910, 1775, 314, 271, 8079, 538, 26998, 1112, 6769, 2018, 2132, 6936, 1477, 825, 2132, 8771, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2855, 815, 1496, 1015, 267, 476, 1428, 267, 476, 274, 267, 476, 278, 15947, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1839, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1704, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1240, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1015, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1321, 4297, 0, 18851, 1477, 825, 9717, 519, 3597, 540, 513, 9352, 3406, 3529, 267, 543, 513, 3077, 737, 267, 1477, 825, 2132, 1079, 9136, 538, 519, 3529, 4171, 2040, 11224, 737, 269, 5897, 825, 1280, 1383, 267, 2016, 519, 1739, 3529, 543, 737, 540, 476, 736, 5897, 825, 476, 1015, 1477, 567, 1315, 567, 1422, 1477, 476, 276, 8587, 476, 1428, 1477, 11434, 1315, 476, 1422, 1477, 672, 476, 1556, 825, 476, 1428, 1477, 825, 17776, 519, 9136, 476, 276, 543, 476, 1428, 1477, 18851, 1477, 5228, 10070, 1104, 632, 4302, 5897, 18851, 1477, 825, 681, 12584, 538, 744, 3799, 2845, 3799, 4297, 942, 23228, 18851, 1477, 3698, 1265, 5332, 3941, 318, 5976, 23544, 17624, 20172, 267, 737, 8029, 825, 7117, 815, 632, 4302, 8443, 10174, 29573, 825, 1247, 7003, 32429, 264, 3436, 476, 271, 6769, 1038, 6843, 318, 272, 815, 7117, 4877, 963, 1111, 14052, 1038, 6843, 318, 273, 815, 1265, 318, 3559, 704, 20172, 267, 6843, 318, 272, 267, 737, 910, 6843, 318, 272, 22183, 3418, 1038, 952, 6843, 318, 273, 11203, 7183, 6769, 2018, 2132, 630, 27161, 318, 272, 22183, 267, 6843, 318, 273, 22183, 3418, 1038, 952, 6843, 318, 272, 16000, 11203, 7183, 6769, 2018, 7117, 6910, 27316, 318, 272, 16000, 3418, 1038, 952, 6843, 318, 272, 16192, 11203, 7183, 6769, 2018, 7117, 6910, 27316, 318, 272, 16192, 3418, 825, 2132, 7183, 5897, 3698, 1265, 318, 3559, 704, 20172, 267, 6843, 267, 1130, 8029, 825, 952, 3597, 22183, 2652, 1130, 543, 3597, 11203, 6843, 6769, 1038, 2132, 3597, 1477, 825, 952, 1130, 2999, 3597, 22183, 543, 630, 10174, 16000, 11203, 7183, 8029, 1038, 2132, 1265, 318, 3559, 704, 20172, 16000, 267, 6843, 267, 1130, 3418, 825, 8640, 1130, 13843, 3597, 22183, 543, 630, 10174, 16192, 11203, 7183, 8029, 1038, 2132, 1265, 318, 3559, 704, 20172, 16192, 267, 6843, 267, 1130, 3418, 825, 2132, 7183, 5897, 5035, 19219, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 8029, 1038, 1582, 22183, 815, 1130, 1477, 1038, 1582, 16000, 815, 7183, 1477, 1038, 1582, 16192, 815, 7183, 5897, 3698, 1711, 4671, 872, 28399, 825, 6843, 318, 276, 815, 19219, 263, 276, 3418, 825, 6843, 318, 1015, 815, 19219, 263, 1015, 3418, 825, 6843, 318, 1556, 815, 19219, 263, 1556, 3418, 825, 6843, 318, 1428, 318, 272, 815, 19219, 263, 1428, 3418, 825, 6843, 318, 1428, 318, 273, 815, 19219, 263, 1428, 10142, 825, 6843, 318, 1015, 16000, 815, 6843, 318, 276, 1477, 825, 6843, 318, 1015, 16192, 815, 6843, 318, 1428, 318, 272, 1477, 825, 6843, 318, 1428, 318, 272, 16000, 815, 6843, 318, 1556, 1477, 825, 6843, 318, 1428, 318, 272, 16192, 815, 6843, 318, 1428, 318, 273, 5897, 825, 2132, 6843, 318, 1015, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 3597, 815, 1711, 4671, 872, 14052, 825, 585, 14805, 538, 1496, 1015, 267, 476, 1428, 267, 476, 1626, 267, 476, 736, 267, 476, 2641, 267, 476, 1839, 267, 476, 2918, 267, 476, 1789, 267, 476, 4029, 316, 6769, 1038, 1820, 3488, 8999, 281, 3299, 14805, 267, 1265, 5332, 3941, 318, 5976, 23544, 17624, 20172, 267, 14805, 17903, 0, 18851, 1477, 825, 14419, 2436, 972, 6818, 513, 835, 3562, 14633, 1915, 11837, 1477, 825, 689, 835, 5569, 521, 272, 547, 1776, 521, 273, 269, 5897, 825, 1280, 1383, 267, 2016, 521, 272, 815, 705, 322, 543, 521, 273, 815, 536, 7251, 267, 1477, 825, 2132, 3020, 2094, 649, 666, 4786, 513, 547, 536, 267, 536, 547, 524, 267, 543, 524, 547, 546, 269, 5897, 825, 9717, 521, 272, 815, 535, 5622, 543, 521, 273, 815, 3046, 267, 1477, 825, 2132, 7301, 2094, 519, 522, 3112, 4786, 547, 1079, 3197, 23228, 18851, 1477, 3698, 568, 318, 529, 25806, 19304, 272, 267, 1193, 273, 8029, 825, 952, 7003, 19304, 272, 264, 11203, 7003, 19304, 273, 2567, 1948, 3490, 2013, 1477, 1038, 2132, 8771, 1477, 825, 4699, 777, 815, 15079, 1477, 825, 585, 1775, 267, 524, 538, 26246, 19304, 272, 8029, 1038, 952, 711, 524, 538, 4699, 777, 6769, 2018, 4699, 777, 314, 322, 316, 815, 1193, 273, 5157, 316, 1948, 610, 4699, 777, 314, 1598, 272, 5157, 14963, 815, 1193, 273, 5157, 15947, 2018, 3136, 1477, 1038, 952, 4699, 777, 314, 322, 316, 11203, 1193, 273, 5157, 316, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 1449, 318, 529, 318, 529, 25806, 28399, 825, 585, 6292, 538, 1496, 1477, 1038, 18011, 320, 3299, 1412, 25900, 30670, 1477, 1038, 18011, 629, 3299, 1412, 25900, 30670, 1477, 1038, 18011, 325, 5622, 3299, 1412, 8663, 30670, 1477, 1038, 18011, 629, 9346, 3299, 1412, 322, 16282, 322, 30670, 1477, 825, 9948, 6769, 1038, 1820, 9638, 1515, 314, 271, 3910, 6292, 314, 272, 3910, 1412, 529, 318, 529, 25806, 281, 22207, 568, 318, 529, 25806, 9638, 1515, 314, 271, 3910, 6292, 314, 272, 8079, 10142, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1449, 318, 529, 318, 529, 25806, 14052, 0, 18851, 1477, 825, 9717, 513, 11837, 540, 9704, 547, 5022, 630, 553, 538, 513, 6049, 1297, 1070, 543, 513, 7857, 5569, 267, 1477, 825, 2132, 782, 2009, 5022, 519, 1297, 1223, 2099, 23228, 825, 1411, 666, 8263, 1142, 4570, 1297, 538, 519, 11837, 568, 513, 2582, 7857, 269, 5897, 825, 1280, 1383, 952, 2715, 2108, 273, 27535, 1496, 2108, 320, 5608, 968, 321, 5608, 968, 322, 892, 3910, 834, 274, 9899, 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 ]
[ 11067, 9900, 609, 7646, 12853, 543, 3636, 1216, 5849, 15325, 269, 3958, 267, 13936, 3735, 343, 4773, 2476, 689, 1463, 7943, 2337, 2061, 12159, 3361, 676, 11158, 12345, 269, 7743, 569, 25374, 585, 267, 3735, 343, 7802, 666, 2063, 1082, 1296, 543, 2611, 1175, 607, 546, 9579, 1782, 780, 9961, 1686, 267, 1004, 723, 1031, 6752, 607, 513, 1797, 540, 11589, 2933, 543, 8220, 609, 1866, 945, 2671, 2147, 4690, 269, 17623, 343, 7802, 3091, 1776, 28627, 585, 3408, 267, 5876, 267, 543, 2123, 2208, 269, 1924, 267, 2436, 596, 5660, 3735, 343, 585, 922, 11495, 15312, 267, 4296, 547, 3309, 2950, 267, 610, 16779, 7592, 267, 3314, 602, 3025, 19262, 519, 4960, 547, 8661, 741, 23141, 998, 1018, 789, 3442, 547, 5957, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 1346, 602, 1871, 3735, 343, 779, 3023, 344, 9029, 267, 3478, 543, 1210, 3735, 343, 9660, 568, 606, 3573, 1995, 269, 634, 5650, 540, 23510, 1318, 883, 513, 3735, 343, 7802, 568, 513, 2283, 6681, 6296, 538, 3294, 267, 10912, 585, 519, 948, 540, 5657, 322, 636, 8869, 610, 561, 25683, 547, 10018, 602, 519, 1587, 15942, 7561, 936, 519, 2960, 269, 1280, 1346, 602, 1871, 3735, 343, 779, 3023, 344, 9029, 267, 13844, 543, 1210, 3735, 343, 9660, 568, 606, 3573, 1995, 269, 769, 519, 8608, 540, 645, 9169, 300, 267, 3735, 343, 568, 4122, 4448, 609, 29686, 543, 7127, 267, 543, 8380, 593, 3735, 343, 23157, 666, 581, 513, 1505, 585, 1004, 547, 3605, 741, 9909, 543, 16858, 269, 769, 1699, 1296, 267, 3735, 343, 23157, 814, 2965, 13175, 547, 1118, 922, 1665, 593, 519, 13416, 2511, 6429, 269, 898, 779, 4105, 547, 1832, 538, 2247, 602, 519, 13170, 540, 3735, 343, 9660, 538, 2757, 2511, 1281, 711, 24390, 922, 1871, 538, 10099, 880, 543, 1114, 16973, 269, 6787, 596, 2461, 13631, 547, 3735, 343, 7802, 20410, 621, 585, 922, 4241, 5654, 267, 922, 3095, 547, 1114, 16973, 267, 610, 922, 8716, 1164, 7907, 267, 3735, 343, 813, 28328, 23131, 547, 575, 548, 600, 3010, 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, 3848, 476, 1691, 281, 18227, 3776, 4826, 15822, 543, 11162, 692, 5970, 596, 2479, 2219, 827, 1141, 519, 1216, 596, 4235, 2501, 689, 286, 898, 1522, 2097, 689, 513, 5757, 267, 10720, 267, 610, 1256, 11895, 256, 1809, 1354, 713, 1216, 10301, 938, 5321, 267, 621, 2115, 547, 979, 998, 513, 2027, 1184, 1572, 834, 4248, 2126, 257, 547, 2327, 621, 781, 2922, 543, 2973, 585, 721, 547, 4235, 269, 901, 3184, 786, 6338, 596, 547, 930, 1007, 7835, 538, 1216, 2126, 2029, 543, 1397, 596, 875, 3744, 616, 2324, 2182, 547, 1832, 938, 6704, 1216, 607, 6986, 607, 2009, 780, 12850, 9615, 476, 6200, 454, 2411, 13430, 2690, 1082, 1296, 267, 20841, 814, 1044, 1031, 607, 519, 3119, 1505, 547, 1521, 1216, 543, 6146, 1022, 17900, 610, 4551, 602, 1223, 1118, 1004, 7210, 269, 1717, 267, 1247, 20841, 1281, 513, 1434, 2816, 693, 3478, 7759, 540, 5739, 14471, 267, 621, 666, 3006, 4734, 3297, 1507, 5666, 540, 13311, 6878, 1634, 607, 834, 4134, 26529, 676, 335, 20094, 257, 543, 824, 12357, 834, 4186, 3133, 1218, 1701, 1452, 2451, 13569, 5749, 1405, 2356, 5906, 538, 519, 6263, 9424, 1336, 538, 7148, 1216, 267, 855, 3744, 616, 2141, 3168, 585, 2081, 547, 2087, 1216, 2126, 2409, 543, 4894, 1256, 891, 13581, 23606, 780, 4504, 18166, 519, 3687, 639, 13979, 454, 10900, 19567, 14722, 693, 519, 11908, 4659, 540, 5303, 723, 1044, 3384, 1945, 789, 1289, 519, 834, 2381, 639, 1935, 257, 547, 10994, 891, 26240, 5652, 676, 335, 20094, 543, 17694, 269, 5502, 540, 1175, 13461, 593, 20841, 4805, 267, 789, 946, 1114, 2553, 1927, 547, 1711, 513, 811, 2500, 1259, 540, 8156, 1216, 269, 1635, 9256, 1896, 2994, 267, 899, 1210, 3606, 12086, 543, 6464, 267, 789, 666, 1683, 10930, 6704, 1216, 609, 7864, 13311, 970, 6652, 269, 6056, 540, 621, 899, 1818, 513, 8949, 5347, 773, 1107, 3079, 540, 4946, 1152, 835, 1826, 540, 4829, 267, 11544, 1585, 5613, 5932, 513, 13820, 1512, 543, 8902, 11100, 2439, 288, 8892, 29533, 10312, 539, 593, 674, 18017, 5164, 4926, 454, 14343, 13430, 3080, 540, 519, 13085, 8186, 4543, 1020, 519, 14263, 1935, 568, 513, 1912, 6185, 269, 2875, 3957, 7812, 7338, 269, 21298, 267, 646, 729, 6074, 585, 513, 9735, 4316, 1572, 519, 5398, 2657, 769, 26197, 26665, 23050, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1040, 4438, 713, 31776, 267, 7812, 786, 13404, 593, 7421, 1239, 543, 10442, 4066, 6322, 693, 16069, 11763, 10194, 10108, 269, 5994, 1373, 2111, 547, 948, 3247, 519, 3262, 540, 17559, 8290, 899, 519, 2770, 610, 5046, 268, 866, 1107, 875, 3579, 1131, 602, 581, 2496, 9558, 14127, 3194, 883, 7464, 10298, 454, 14343, 7042, 5194, 6909, 1383, 540, 7432, 3621, 8906, 883, 4052, 3156, 2501, 689, 620, 636, 3534, 23718, 853, 1195, 269, 2701, 3576, 1200, 1382, 593, 7738, 909, 26130, 1216, 543, 5828, 621, 883, 513, 3811, 23492, 2754, 5059, 593, 2870, 5499, 2973, 2029, 3435, 269, 23718, 781, 960, 9727, 875, 1271, 621, 568, 547, 1489, 543, 5000, 7279, 543, 5876, 538, 2257, 1107, 945, 6487, 1018, 5863, 18563, 14182, 781, 1053, 786, 3142, 547, 1272, 2439, 307, 15711, 600, 529, 543, 7201, 4248, 26439, 3996, 286, 7937, 3733, 2336, 14343, 692, 1103, 1840, 547, 5355, 1216, 2126, 2409, 267, 3744, 693, 11908, 15306, 616, 849, 4974, 2067, 9259, 899, 20016, 600, 529, 15427, 676, 14015, 15027, 26706, 269, 7905, 19555, 2335, 674, 761, 345, 543, 1010, 5449, 10927, 2875, 267, 962, 756, 514, 20568, 267, 616, 3226, 27278, 676, 713, 2189, 4999, 540, 20569, 543, 3289, 14347, 269, 8625, 267, 789, 8495, 875, 891, 3532, 6329, 1106, 543, 13789, 547, 1732, 3589, 741, 1764, 593, 9381, 2950, 1472, 519, 1158, 269, 1548, 606, 9058, 1259, 547, 9192, 2257, 543, 2470, 547, 2149, 1004, 2439, 5978, 12414, 547, 5269, 513, 16338, 2336, 28598, 2026, 596, 666, 1294, 267, 972, 781, 865, 1454, 4241, 960, 8345, 538, 519, 2361, 540, 1216, 3106, 543, 27194, 269, 3245, 17975, 1216, 2126, 4485, 547, 8165, 14686, 8290, 543, 1620, 519, 4229, 540, 2470, 267, 8049, 8186, 616, 7683, 4466, 1007, 2081, 547, 16102, 938, 1604, 543, 8171, 269, 5808, 6487, 1107, 6148, 14693, 4166, 267, 9358, 786, 3565, 547, 14262, 7760, 538, 5329, 938, 4541, 2635, 543, 14762, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 4826, 9615, 13979, 29452, 547, 3680, 15053, 995, 11906, 338, 454, 763, 1216, 4947, 856, 540, 707, 31316, 564, 568, 2922, 547, 4235, 267, 855, 602, 3085, 1406, 1611, 621, 779, 4625, 2973, 269, 25914, 710, 814, 1279, 1044, 519, 3044, 585, 1216, 2126, 267, 855, 621, 1419, 3568, 10250, 2157, 540, 771, 26529, 676, 335, 20094, 543, 7164, 17694, 269, 11908, 4659, 540, 5303, 3173, 2919, 519, 14263, 1935, 547, 6023, 891, 5739, 676, 335, 20094, 563, 28061, 7338, 5697, 585, 15509, 26665, 23050, 454, 4942, 6185, 269, 2875, 7812, 7338, 814, 1044, 5697, 585, 519, 476, 1708, 274, 5398, 2657, 769, 26197, 26665, 23050, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1040, 7338, 786, 1445, 593, 1239, 2079, 543, 2029, 6268, 267, 4481, 13389, 11763, 10194, 3676, 563, 2704, 30282, 20128, 2775, 281, 23718, 853, 1195, 3690, 13257, 3194, 883, 11162, 5303, 3399, 1575, 454, 10481, 3073, 807, 15306, 10435, 31515, 538, 570, 15711, 9564, 3194, 454, 23178, 19555, 2335, 674, 761, 345, 543, 1010, 5449, 10927, 2875, 267, 962, 756, 514, 20568, 267, 616, 5461, 538, 513, 1808, 2186, 540, 23329, 267, 1346, 3361, 676, 14015, 15027, 3010, 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, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 1614, 2828, 910, 23183, 267, 2098, 4673, 267, 543, 7665, 269, 1358, 941, 1142, 13730, 827, 1114, 1919, 282, 23183, 729, 513, 27503, 22459, 945, 6068, 4730, 519, 13176, 543, 1603, 8964, 267, 2098, 4673, 729, 513, 16805, 6752, 14704, 945, 1185, 1175, 3323, 1200, 1378, 6003, 267, 543, 7665, 729, 606, 14971, 23031, 609, 513, 16994, 3750, 585, 13830, 2189, 8090, 780, 3080, 1554, 1247, 16304, 856, 693, 741, 5172, 22538, 2946, 267, 789, 3459, 7234, 875, 1585, 12372, 12840, 609, 4583, 6752, 9858, 593, 17581, 6227, 610, 2575, 7044, 269, 901, 17275, 606, 2856, 1851, 873, 910, 1018, 952, 789, 1223, 849, 960, 1927, 593, 23183, 781, 14232, 26813, 17581, 3382, 286, 2991, 782, 267, 621, 1131, 581, 513, 3501, 11100, 540, 741, 15421, 543, 4690, 780, 300, 807, 267, 1373, 519, 7376, 267, 4941, 1945, 1196, 4445, 2943, 11541, 585, 1200, 1101, 2582, 834, 305, 2358, 10060, 1701, 2701, 2219, 540, 2870, 513, 3308, 6041, 540, 8840, 1863, 689, 6848, 8155, 543, 6788, 269, 2201, 519, 824, 1688, 267, 2098, 4673, 19424, 539, 1210, 12050, 4778, 543, 23349, 3623, 17924, 22863, 585, 519, 28459, 23183, 1131, 5957, 538, 519, 8523, 269, 11531, 267, 7665, 29739, 593, 4466, 513, 27497, 1399, 4683, 4087, 602, 1131, 9148, 1312, 519, 5152, 543, 519, 856, 22327, 780, 5475, 1896, 23730, 7886, 4904, 609, 10761, 543, 5876, 267, 789, 6368, 8815, 593, 513, 1523, 281, 23183, 1131, 1810, 513, 10875, 26254, 676, 2098, 4673, 10023, 6106, 540, 32482, 548, 538, 7524, 24698, 267, 7555, 18390, 1996, 513, 20457, 540, 1178, 29201, 23752, 6821, 269, 1677, 7001, 713, 3532, 3239, 267, 7665, 1085, 719, 539, 6753, 1472, 4884, 2394, 646, 1336, 519, 4998, 620, 2917, 3118, 780, 2026, 789, 24389, 593, 713, 1788, 267, 789, 5185, 3875, 2591, 269, 2290, 2101, 19224, 548, 729, 20310, 513, 2679, 8227, 547, 1577, 873, 946, 1010, 3959, 607, 513, 6337, 327, 2393, 4087, 269, 1717, 267, 3079, 540, 4758, 909, 610, 759, 15659, 547, 10363, 2409, 267, 789, 4956, 547, 1935, 1864, 1135, 7019, 543, 2491, 741, 5075, 269, 5080, 29418, 267, 519, 8227, 15874, 741, 15131, 543, 4847, 873, 1569, 547, 519, 2230, 780, 5194, 4161, 3357, 950, 2098, 4673, 7691, 1352, 4769, 1405, 723, 2614, 5958, 547, 1711, 519, 5551, 1413, 585, 23183, 781, 10571, 1813, 547, 6578, 10148, 269, 5502, 540, 18731, 610, 27560, 2326, 267, 2098, 4673, 8359, 547, 3643, 2199, 4278, 3424, 8637, 1141, 1352, 4362, 4190, 29578, 540, 5958, 602, 20083, 1200, 2681, 10325, 9985, 269, 3414, 4199, 6888, 543, 8990, 267, 1352, 7307, 547, 2347, 519, 28459, 1369, 741, 3908, 6578, 780, 7661, 267, 519, 1554, 8452, 585, 519, 6337, 327, 2393, 269, 6736, 6849, 669, 11035, 4365, 2175, 543, 1761, 19240, 689, 8049, 593, 19972, 619, 267, 519, 2468, 334, 7283, 5059, 543, 11215, 540, 835, 1776, 269, 4256, 7104, 1648, 8507, 538, 18198, 11147, 602, 9676, 519, 9759, 540, 23183, 781, 5152, 18991, 780, 1103, 519, 1439, 267, 711, 1152, 1705, 789, 3132, 5863, 11247, 585, 23183, 781, 2582, 3382, 855, 849, 22541, 741, 11505, 998, 5698, 267, 6568, 267, 5683, 3375, 6194, 267, 543, 1966, 9010, 1983, 269, 1656, 865, 267, 741, 3460, 6039, 607, 513, 12576, 602, 2324, 1927, 32069, 666, 1291, 547, 9058, 2164, 1247, 20170, 547, 1455, 2631, 2418, 780, 14945, 23322, 15511, 7151, 1384, 16655, 281, 834, 10817, 903, 267, 594, 1589, 594, 1336, 938, 5544, 15323, 313, 4673, 281, 834, 265, 326, 553, 1186, 265, 2334, 1747, 568, 3501, 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 ]
[ 0, 291, 1853, 10885, 6323, 6780, 692, 272, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 1103, 3541, 1516, 519, 4542, 454, 15965, 642, 815, 4399, 2765, 346, 4501, 480, 341, 3709, 343, 12453, 4501, 480, 343, 4151, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 4151, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 345, 12453, 4501, 480, 345, 21456, 933, 1031, 513, 14328, 4396, 31208, 2572, 2711, 4320, 282, 2705, 267, 1022, 3337, 786, 798, 630, 24392, 519, 9819, 4991, 9875, 1040, 1677, 1294, 606, 1383, 267, 17589, 519, 1482, 4542, 1210, 519, 24388, 11057, 4320, 3254, 630, 29664, 7923, 1040, 901, 1223, 581, 513, 4320, 3693, 1985, 547, 606, 12150, 2627, 780, 273, 269, 31999, 4834, 454, 14240, 540, 27754, 692, 15965, 642, 815, 1929, 18529, 16483, 20681, 271, 4399, 2765, 3189, 842, 642, 1422, 10383, 13005, 2410, 24941, 16483, 4151, 1141, 18529, 16483, 815, 1507, 4320, 543, 519, 7533, 568, 513, 936, 513, 6806, 2627, 3808, 18529, 16483, 692, 274, 269, 634, 3801, 693, 513, 3070, 454, 3383, 594, 993, 2348, 930, 3390, 609, 713, 2243, 269, 589, 3364, 547, 4063, 568, 602, 649, 616, 4114, 26305, 519, 7533, 607, 1175, 642, 7445, 15132, 259, 6767, 1141, 642, 568, 693, 930, 1448, 593, 519, 2627, 269, 901, 568, 1813, 547, 621, 1373, 606, 31208, 2572, 2711, 4320, 780, 763, 1292, 1966, 594, 993, 2348, 568, 594, 1589, 594, 993, 1818, 513, 12161, 593, 519, 1283, 3068, 11214, 269, 1403, 596, 1413, 693, 4137, 476, 273, 799, 568, 1250, 19020, 5373, 547, 2099, 562, 621, 568, 1287, 692, 333, 815, 630, 6523, 7445, 9064, 259, 795, 1002, 1341, 5609, 7445, 9064, 259, 737, 1002, 2020, 3383, 1287, 585, 519, 1283, 3068, 952, 554, 815, 519, 1793, 5896, 2427, 454, 6767, 815, 554, 24941, 343, 6262, 657, 7445, 9064, 259, 795, 1002, 1341, 5609, 7445, 9064, 259, 737, 1002, 994, 284, 24941, 343, 263, 24941, 345, 795, 1002, 1341, 18529, 344, 737, 1002, 264, 1317, 554, 666, 581, 6829, 538, 2474, 540, 5609, 543, 5430, 540, 519, 824, 5011, 780, 810, 1287, 642, 12297, 13005, 815, 642, 259, 3709, 344, 4151, 263, 343, 267, 586, 267, 1990, 264, 24941, 343, 24941, 345, 1341, 642, 259, 3709, 345, 4151, 263, 343, 11971, 267, 345, 264, 24941, 343, 24941, 344, 692, 327, 2100, 2685, 865, 2484, 865, 1434, 269, 3767, 585, 519, 824, 8188, 692, 321, 18847, 692, 6767, 815, 18529, 343, 24941, 344, 11196, 330, 1002, 4287, 2020, 341, 12297, 13005, 815, 910, 341, 259, 3709, 345, 4151, 263, 343, 267, 586, 267, 1990, 268, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 345, 264, 24941, 343, 24941, 344, 692, 3724, 18750, 343, 7077, 2020, 6767, 815, 18529, 343, 24941, 345, 692, 341, 12297, 13005, 815, 910, 341, 259, 3709, 344, 4151, 263, 343, 267, 586, 268, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 267, 1990, 264, 24941, 343, 24941, 345, 692, 810, 1287, 950, 594, 2322, 621, 782, 1927, 543, 7941, 676, 18529, 16483, 815, 4399, 2765, 346, 272, 2410, 273, 4151, 24941, 343, 24941, 344, 24941, 345, 692, 527, 3592, 5654, 899, 519, 4214, 540, 513, 12045, 4849, 594, 993, 2451, 609, 513, 476, 272, 270, 273, 269, 1548, 1705, 594, 4413, 286, 7102, 948, 1131, 581, 7494, 15874, 543, 952, 596, 991, 803, 547, 12172, 1577, 803, 917, 780, 16920, 3737, 28567, 1384, 17572, 2450, 912, 272, 269, 277, 22995, 454, 21366, 912, 7830, 454, 1892, 4137, 273, 26666, 454, 17572, 2450, 912, 273, 22995, 454, 21366, 912, 7830, 454, 273, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 20756, 16921, 267, 594, 1131, 2731, 5660, 930, 948, 865, 952, 972, 568, 1945, 594, 729, 15458, 827, 1577, 803, 917, 543, 594, 786, 2119, 543, 12172, 2417, 7064, 780, 274, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 4811, 5500, 692, 9616, 1269, 325, 3287, 266, 320, 264, 1422, 13627, 535, 3287, 264, 1341, 535, 21948, 343, 9385, 281, 320, 259, 585, 1507, 1269, 320, 16859, 12024, 3772, 1269, 325, 3287, 8584, 264, 1422, 13627, 535, 3287, 264, 910, 535, 21948, 343, 9385, 281, 320, 6911, 13295, 267, 875, 1131, 596, 16977, 1269, 309, 14729, 3287, 267, 586, 10559, 2765, 3189, 18773, 586, 2410, 273, 9574, 1990, 7751, 2496, 275, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 3383, 692, 284, 7445, 2765, 346, 314, 309, 3709, 344, 12917, 343, 11971, 267, 345, 9984, 309, 3709, 344, 12917, 343, 267, 586, 10559, 2765, 346, 272, 2410, 273, 348, 24941, 344, 267, 345, 13580, 7346, 2765, 346, 272, 2410, 273, 348, 24941, 344, 21456, 284, 309, 259, 3709, 344, 4151, 263, 343, 11971, 267, 345, 264, 910, 966, 259, 3709, 344, 4151, 263, 343, 11971, 267, 345, 264, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 4151, 263, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 264, 1315, 630, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 994, 284, 7445, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 10592, 322, 8091, 2496, 28989, 585, 519, 4057, 11249, 594, 993, 1869, 3478, 1031, 547, 713, 3735, 343, 8631, 692, 276, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 4811, 5500, 692, 8133, 267, 602, 781, 2953, 780, 277, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 302, 10798, 9684, 596, 1586, 256, 0, 10000, 323, 908, 3406, 2164, 13718, 258, 476, 6812, 11778, 692, 8698, 454, 15675, 539, 12086, 912, 1892, 1297, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1103, 713, 3381, 267, 513, 2875, 6941, 875, 547, 946, 519, 1858, 2203, 585, 8691, 269, 634, 1858, 2203, 568, 513, 8691, 4640, 1759, 593, 10920, 19397, 2338, 1759, 517, 1747, 1871, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 13312, 8183, 270, 26877, 755, 1674, 454, 11328, 5562, 454, 22826, 270, 13981, 15613, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 2764, 270, 1708, 271, 454, 18744, 19457, 18983, 26860, 454, 6717, 15760, 9539, 290, 9539, 291, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 13043, 3756, 616, 1187, 267, 30070, 267, 543, 1683, 3255, 585, 1053, 547, 1628, 1297, 2035, 267, 7744, 267, 543, 21711, 269, 1452, 3756, 949, 581, 1031, 607, 2979, 10473, 610, 607, 2898, 1895, 1565, 3255, 269, 901, 3758, 3568, 8846, 543, 2326, 585, 1849, 13831, 476, 273, 2979, 3756, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 29228, 454, 5881, 270, 1015, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 307, 2532, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 563, 307, 2532, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 6187, 270, 4905, 270, 1708, 271, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 10376, 13613, 3568, 513, 1114, 4528, 540, 519, 10203, 1053, 4305, 269, 3962, 4305, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 269, 570, 3696, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 5881, 270, 6021, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 10376, 13613, 3568, 513, 1114, 4528, 540, 519, 10203, 1053, 4305, 269, 3962, 4305, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 269, 570, 3696, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 1556, 270, 4905, 270, 1001, 280, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 3992, 568, 4303, 476, 279, 538, 513, 3126, 540, 476, 1321, 4245, 1472, 6824, 5973, 1878, 543, 16198, 780, 1607, 3381, 3992, 12857, 519, 1297, 607, 513, 1907, 585, 8204, 543, 9236, 8454, 269, 4841, 786, 991, 513, 3109, 4062, 540, 513, 1957, 543, 513, 15513, 609, 513, 1434, 2144, 6471, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 11328, 5562, 454, 8893, 454, 8245, 1637, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 1839, 270, 1708, 271, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 568, 835, 2009, 1259, 547, 946, 519, 9864, 23479, 4640, 585, 6498, 780, 1103, 713, 3381, 267, 476, 276, 628, 3446, 1053, 946, 519, 9864, 23479, 6498, 4640, 547, 4194, 513, 476, 274, 18251, 676, 476, 272, 18251, 6498, 1966, 269, 2755, 713, 1362, 5956, 609, 513, 2634, 29746, 267, 621, 568, 711, 2556, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 13312, 8183, 270, 26877, 755, 1674, 454, 11328, 5562, 454, 22826, 270, 13981, 15613, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 2764, 270, 1708, 271, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 1053, 946, 519, 1930, 1297, 1899, 543, 1585, 2994, 547, 4194, 1840, 1650, 2042, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1691, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 267, 1053, 616, 5189, 547, 519, 581, 12184, 1297, 1899, 607, 513, 1907, 547, 948, 873, 4194, 1840, 543, 12408, 2042, 1369, 476, 736, 269, 901, 3992, 568, 538, 1079, 2694, 543, 949, 581, 6026, 936, 811, 982, 835, 1554, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1321, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 267, 1053, 1020, 606, 1620, 540, 10920, 19397, 2338, 547, 1039, 1210, 15561, 6486, 269, 4841, 786, 1921, 713, 4640, 547, 519, 1297, 1899, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1691, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1607, 17142, 3568, 14827, 17914, 585, 4441, 715, 6630, 269, 272, 543, 715, 6630, 269, 278, 269, 1401, 527, 17914, 616, 2854, 6114, 547, 2055, 15054, 693, 519, 1439, 540, 513, 3992, 269, 1358, 616, 5618, 10526, 799, 1450, 519, 4116, 547, 3313, 2875, 1620, 540, 519, 2035, 543, 1983, 6026, 602, 1554, 269, 2311, 519, 4098, 540, 519, 1153, 1032, 267, 621, 949, 581, 2556, 547, 4159, 513, 10145, 5299, 540, 519, 14827, 19044, 593, 519, 4604, 543, 1224, 16965, 547, 1053, 269, 1306, 4116, 14509, 267, 1053, 960, 10446, 593, 741, 1378, 5299, 540, 519, 14827, 19044, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 20236, 10495, 454, 5400, 270 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 1702, 827, 3617, 10763, 5773, 269, 634, 1079, 12535, 602, 941, 5697, 585, 519, 1353, 941, 5697, 1317, 3114, 9382, 6394, 693, 519, 29815, 776, 28182, 6700, 602, 519, 1079, 12535, 1185, 1114, 4162, 269, 19594, 15880, 630, 6195, 264, 24865, 689, 519, 7262, 27743, 15142, 543, 9741, 16959, 15880, 630, 17162, 290, 264, 24865, 1106, 519, 9456, 23617, 269, 30551, 4632, 6027, 3769, 2168, 11305, 8707, 6724, 267, 8762, 5735, 543, 513, 24194, 540, 8407, 269, 3245, 713, 1239, 621, 729, 4767, 602, 476, 272, 269, 519, 1079, 12535, 616, 1114, 538, 2470, 476, 273, 269, 519, 2494, 6523, 32549, 12074, 547, 519, 7532, 3812, 1164, 1530, 2157, 538, 700, 17584, 476, 274, 269, 1312, 12535, 1185, 1164, 1875, 25993, 552, 269, 19546, 5095, 476, 275, 269, 519, 12535, 941, 12936, 267, 855, 8335, 267, 676, 4155, 632, 268, 6005, 769, 3932, 267, 519, 3114, 8984, 540, 5266, 1507, 29815, 776, 12535, 666, 4268, 3648, 538, 8901, 543, 13796, 2474, 1256, 585, 12535, 602, 616, 4092, 538, 9583, 2673, 16133, 269, 4438, 1970, 2095, 2175, 891, 12535, 723, 519, 1761, 547, 3648, 1764, 519, 3677, 6908, 883, 799, 789, 2095, 563, 291, 17805, 7392, 281, 3194, 9137, 454, 26397, 4266, 281, 5130, 476, 272, 267, 476, 1220, 277, 454, 5415, 827, 713, 8313, 888, 268, 18619, 540, 519, 4826, 5113, 18966, 568, 606, 21287, 540, 4574, 3370, 538, 519, 18659, 540, 519, 5993, 4826, 5113, 18966, 10378, 14502, 1401, 22128, 543, 10985, 630, 310, 9128, 307, 4488, 10378, 3738, 543, 20614, 19014, 4371, 2094, 519, 1032, 476, 1220, 271, 269, 1452, 18659, 616, 711, 9263, 12649, 269, 654, 9128, 16840, 281, 6178, 538, 630, 2431, 8470, 264, 609, 707, 769, 7217, 320, 21010, 3593, 2012, 543, 10957, 547, 4309, 5360, 21747, 1569, 563, 268, 4427, 18285, 547, 713, 7170, 454, 268, 16840, 1222, 6176, 454, 268, 6168, 654, 9128, 18619, 454, 268, 654, 9128, 307, 4488, 10985, 6176, 454, 268, 3824, 550, 13154, 1536, 568, 711, 3743, 585, 519, 1543, 610, 8244, 540, 5007, 7270, 0, 20684, 476, 272, 1892, 4400, 569, 3860, 1053, 723, 7965, 538, 519, 2757, 4928, 630, 293, 2280, 7815, 267, 476, 1001, 272, 994, 20684, 476, 273, 1892, 27065, 568, 2877, 676, 476, 2641, 560, 2540, 2486, 630, 291, 984, 321, 1231, 267, 476, 1220, 280, 994, 20684, 476, 274, 1892, 634, 2796, 538, 799, 1945, 568, 4121, 538, 513, 2757, 4928, 949, 581, 1114, 689, 519, 1259, 621, 568, 4294, 2663, 538, 1272, 630, 300, 752, 601, 267, 476, 1220, 280, 994, 299, 871, 540, 27065, 779, 28483, 700, 19272, 5508, 281, 1892, 8112, 1892, 5169, 1275, 1892, 13916, 454, 2108, 14807, 622, 4658, 585, 519, 11300, 6520, 892, 630, 300, 752, 601, 267, 476, 1220, 280, 264, 21886, 5971, 1007, 2093, 267, 29293, 1299, 3435, 630, 293, 2280, 7815, 267, 476, 1001, 272, 994, 312, 21788, 631, 3041, 31064, 281, 3629, 606, 3872, 1604, 602, 568, 18398, 543, 17598, 547, 519, 2875, 454, 27066, 291, 984, 321, 1231, 267, 918, 269, 630, 1220, 280, 1040, 11819, 5876, 1369, 519, 1699, 2069, 1062, 281, 513, 2013, 1353, 540, 519, 11994, 540, 3119, 3610, 269, 4065, 476, 274, 268, 1724, 267, 476, 4391, 263, 273, 1070, 476, 4817, 268, 10441, 269, 8222, 281, 1015, 269, 10482, 271, 270, 27157, 271, 5655, 3583, 279, 22903, 14695, 3953, 293, 2280, 7815, 267, 570, 269, 630, 1001, 272, 1040, 11300, 15154, 538, 12140, 281, 15531, 519, 834, 9617, 9406, 257, 7420, 585, 4841, 269, 717, 26661, 4132, 4653, 267, 476, 4097, 263, 273, 1070, 476, 4391, 8160, 752, 601, 267, 631, 269, 595, 269, 630, 1220, 280, 1040, 6435, 721, 5876, 3173, 267, 596, 516, 938, 1152, 4126, 269, 10017, 2986, 589, 652, 12060, 267, 27065, 267, 1656, 634, 8551, 267, 476, 274, 263, 272, 1070, 476, 4343, 268, 5655, 269, 8222, 281, 1015, 269, 9818, 278, 21669, 9826, 5392, 272, 280, 454, 288, 1880, 13472, 20414, 707, 3750, 888, 5141, 6235, 568, 513, 13561, 1259, 547, 2445, 1271, 15942, 596, 1616, 547, 979, 1394, 547, 2663, 269, 0, 7093, 21752, 540, 19715, 3635, 4267, 9172, 9955, 547, 519, 3635, 593, 840, 21752, 763, 4267, 547, 519, 3635, 2776, 21752, 540, 19715, 3635, 1565, 2296, 7994, 519, 2953, 2626, 17781, 519, 2953, 2626, 476, 272, 269, 634, 1433, 568, 896, 519, 4216, 540, 8031, 269, 476, 273, 269, 634, 6552, 1852, 568, 1985, 547, 519, 4216, 540, 8031, 1547, 476, 274, 269, 634, 11480, 568, 3297, 519, 4216, 540, 8031, 269, 476, 275, 269, 634, 8031, 616, 538, 519, 4216, 269, 276, 269, 634, 1433, 568, 593, 519, 3349, 5861, 9631, 10968, 519, 5624, 21607, 519, 2953, 840, 6570, 538, 519, 10145, 2230, 272, 269, 634, 23475, 28904, 616, 538, 519, 9126, 269, 273, 269, 634, 7131, 338, 616, 1985, 547, 270, 2421, 519, 4837, 269, 274, 269, 634, 4837, 568, 1063, 519, 9126, 543, 519, 7131, 338, 269, 275, 269, 634, 9126, 568, 593, 519, 3349, 269, 276, 269, 634, 7131, 338, 616, 538, 741, 2665, 269, 277, 269, 634, 1216, 568, 538, 519, 4837, 11053, 4902, 610, 8771, 286, 12585, 519, 2055, 609, 3020, 610, 7301, 272, 269, 634, 1433, 568, 5835, 269, 6936, 273, 269, 634, 7131, 338, 616, 782, 519, 1482, 7990, 269, 8771, 274, 269, 634, 6552, 1852, 568, 15454, 269, 8771, 275, 269, 634, 4837, 568, 8900, 269, 8771, 276, 269, 634, 11480, 568, 538, 4395, 540, 519, 8031, 269, 8771, 27832, 976, 602, 616, 1644, 547, 519, 3635, 2414, 2070, 1022, 540, 519, 4245, 2630, 4945, 593, 3095, 269, 7093, 21752, 2296, 3992, 1103, 593, 693, 3635, 593, 840, 21752, 1565, 2296, 2181, 21752, 769, 593, 693, 2296, 3992, 454, 292, 6470, 10605, 4804, 593, 11060, 8675, 543, 875, 547, 946, 21594, 12812, 593, 519, 1739, 3095, 585, 519, 2201, 1899, 2296, 8675, 910, 2296, 3992, 292, 6470, 623, 864, 4804, 17072, 2252, 596, 616, 10010, 609, 513, 3992, 610, 606, 3635, 2022, 513, 2243, 649, 786, 2119, 543, 948, 596, 610, 2022, 707, 4267, 663, 1577, 1866, 5635, 609, 1018, 596, 723, 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 ]
[ 15654, 9136, 563, 305, 2393, 19219, 281, 898, 568, 519, 1283, 6843, 602, 1281, 711, 723, 1022, 2385, 563, 8867, 2378, 715, 3941, 610, 12910, 1400, 715, 3941, 281, 1452, 616, 519, 9136, 602, 798, 711, 723, 1022, 1126, 6843, 269, 595, 267, 667, 267, 661, 267, 717, 267, 543, 670, 616, 519, 6978, 9136, 563, 26073, 281, 634, 5311, 540, 15654, 8728, 568, 1634, 607, 513, 2619, 563, 2304, 6827, 832, 281, 7102, 6843, 538, 519, 2619, 689, 519, 3597, 547, 602, 6843, 269, 1280, 1383, 267, 519, 11937, 540, 670, 616, 674, 543, 589, 563, 306, 15269, 281, 715, 3941, 602, 4866, 547, 519, 1482, 2385, 616, 1572, 16254, 269, 645, 267, 661, 267, 543, 674, 616, 16254, 563, 291, 12801, 281, 634, 4110, 540, 513, 6843, 568, 519, 1297, 540, 1453, 519, 6843, 814, 634, 4110, 540, 6843, 589, 568, 476, 274, 269, 589, 6978, 6843, 814, 513, 4110, 540, 476, 271, 563, 3891, 697, 281, 634, 4463, 540, 513, 6843, 538, 513, 3529, 568, 519, 3259, 540, 519, 5021, 2619, 689, 519, 6843, 547, 519, 6978, 6843, 269, 634, 4463, 540, 519, 3529, 568, 519, 4463, 540, 519, 3597, 6843, 563, 291, 3704, 281, 634, 3178, 540, 513, 6843, 538, 513, 3529, 568, 519, 3259, 540, 519, 2619, 689, 519, 6843, 547, 519, 3597, 6843, 269, 634, 4463, 540, 513, 3529, 568, 519, 5021, 4463, 540, 6978, 9136, 538, 519, 3529, 563, 8867, 12069, 281, 769, 513, 3529, 267, 519, 6978, 6843, 568, 693, 1377, 476, 271, 543, 621, 4679, 693, 1142, 1900, 1524, 2072, 269, 1280, 1383, 538, 519, 3529, 1657, 267, 519, 3597, 6843, 568, 693, 1377, 476, 271, 267, 715, 3941, 645, 267, 661, 267, 674, 616, 693, 1377, 476, 272, 267, 715, 3941, 595, 267, 667, 267, 717, 267, 543, 670, 616, 1377, 476, 273, 563, 8138, 10326, 281, 7102, 3529, 799, 568, 513, 1126, 540, 513, 6843, 269, 570, 272, 267, 570, 273, 267, 543, 570, 274, 616, 519, 5705, 4181, 563, 20288, 560, 281, 589, 4104, 568, 1305, 540, 771, 329, 2002, 4054, 269, 3371, 519, 1305, 9967, 540, 570, 272, 267, 570, 273, 543, 570, 274, 568, 4104, 563, 21104, 725, 2986, 10326, 769, 4578, 12856, 454, 268, 634, 3758, 1062, 538, 12380, 5665, 1062, 3096, 513, 3529, 563, 268, 769, 14103, 267, 519, 667, 6865, 20573, 17805, 8629, 7844, 264, 568, 513, 3529, 563, 268, 634, 645, 4306, 799, 568, 513, 1826, 540, 3529, 568, 1031, 585, 2500, 18570, 543, 10478, 540, 2609, 563, 268, 3281, 32078, 946, 513, 16105, 3529, 547, 19472, 519, 16105, 540, 1169, 1982, 596, 2328, 563, 268, 19029, 616, 849, 1031, 676, 1034, 1455, 12240, 547, 4558, 1239, 269, 0, 288, 6836, 543, 7318, 1305, 540, 476, 273, 3211, 593, 3223, 603, 670, 2130, 267, 1390, 585, 23794, 274, 1148, 543, 6552, 1565, 563, 17582, 18694, 476, 272, 910, 5071, 513, 6049, 2013, 538, 519, 2511, 540, 3223, 603, 670, 2130, 267, 2347, 609, 2875, 1806, 538, 7990, 543, 3109, 1299, 3043, 563, 17582, 18694, 476, 273, 910, 30310, 1382, 593, 3223, 603, 670, 2130, 2347, 609, 1344, 547, 1224, 543, 2055, 547, 2626, 563, 7476, 713, 4199, 607, 851, 540, 513, 22753, 543, 4688, 909, 547, 476, 4792, 14999, 288, 22753, 568, 513, 10189, 540, 2200, 19882, 1927, 547, 4001, 513, 1880, 1888, 267, 610, 513, 3126, 540, 4245, 267, 538, 835, 1747, 563, 1556, 23794, 274, 3203, 7689, 6096, 31087, 5588, 292, 19845, 27073, 5058, 454, 1556, 1114, 1148, 3211, 267, 1390, 585, 6552, 1565, 267, 3382, 4245, 610, 607, 10137, 4247, 269, 2422, 995, 585, 23794, 274, 543, 23794, 275, 269, 11762, 4988, 3769, 281, 16971, 3203, 7849, 22553, 27673, 11709, 717, 26710, 28741, 4223, 23579, 3979, 631, 3696, 543, 20266, 27591, 24434, 344, 3223, 603, 670, 2130, 667, 22259, 3203, 454, 1607, 4199, 18387, 1405, 1044, 12649, 2943, 454, 2414, 2327, 2298, 585, 938, 8039, 267, 1152, 5561, 945, 723, 12349, 713, 4199, 666, 2689, 621, 454, 27751, 713, 759, 712, 322, 16587, 1577, 721, 917, 952, 621, 3423, 919, 938, 2474, 543, 2175, 563, 5978, 6075, 3028, 2319, 786, 2689, 707, 1867, 543, 786, 581, 538, 5905, 269, 0, 299, 16722, 15955, 5053, 4197, 519, 4427, 31019, 633, 28239, 538, 5053, 4427, 31019, 633, 24716, 609, 811, 1455, 22566, 7099, 9523, 4469, 760, 4580, 19478, 7179, 10897, 2006, 299, 1315, 5192, 1399, 16103, 5053, 18049, 3778, 1299, 9177, 25460, 10586, 18500, 5675, 10341, 1635, 717, 14283, 661, 5341, 11420, 5053, 5678, 16869, 645, 6993, 1421, 22208, 7414, 2160, 717, 14283, 661, 5341, 11420, 568, 513, 5053, 1893, 4274, 945, 814, 2813, 5053, 4245, 585, 23539, 10870, 2094, 476, 1960, 279, 269, 938, 21107, 1184, 717, 14283, 661, 5341, 11420, 21213, 5437, 476, 1691, 267, 476, 1001, 280, 634, 1016, 31019, 633, 7099, 666, 581, 18447, 585, 2296, 10529, 945, 616, 1565, 5053, 269, 901, 568, 6140, 1317, 1256, 1498, 2296, 814, 922, 1378, 1016, 31019, 633, 7099, 267, 649, 1810, 1405, 946, 922, 10058, 3029, 1360, 1419, 269, 4475, 267, 519, 1016, 31019, 633, 666, 1419, 1034, 3362, 581, 4121, 676, 4974, 1806, 540, 922, 946, 269, 1548, 1772, 519, 4427, 31019, 633, 28239, 286, 2913, 781, 1376, 609, 519, 9238, 281, 634, 7099, 630, 27271, 1572, 519, 7154, 264, 540, 519, 8231, 2901, 20475, 519, 10584, 781, 10182, 4724, 519, 8231, 610, 6257, 875, 519, 8231, 568, 1031, 538, 513, 4845, 269, 634, 1034, 1455, 7099, 9789, 22566, 7099, 28934, 1031, 547, 3277, 547, 1018, 568, 1483, 267, 547, 1533, 5013, 267, 547, 1118, 3616, 25730, 269, 1280, 1383, 267, 519, 8231, 538, 834, 8867, 334, 1714, 5391, 549, 257, 630, 296, 993, 2542, 519, 1433, 264, 568, 538, 519, 22566, 7099, 269, 769, 4334, 267, 519, 1016, 31019, 633, 7099, 568, 3335, 1031, 538, 971, 513, 1259, 602, 519, 8231, 781, 2495, 12211, 547, 875, 519, 10584, 7959, 827, 621, 269, 769, 519, 4845, 834, 19324, 704, 334, 6446, 1609, 2946, 21688, 714, 257, 630, 296, 4126, 602, 1352, 568, 6126, 1070, 519, 2034, 8231, 267, 1609, 2946, 630, 529, 1070, 949, 610, 949, 711, 581, 4641, 282, 1018, 568, 1271, 1934, 568, 519, 10584, 781, 10182, 4724, 519, 2034, 3368, 540, 519, 4845, 269, 6201, 540, 519, 4427, 31019, 633, 28239, 7743, 3096, 540, 519, 1016, 31019, 633, 7099, 666, 1655, 581, 2938, 998, 1806, 269, 769, 891, 3732, 5220, 267, 519, 5053, 13450, 616, 782, 538, 519, 1016, 31019, 633, 7099, 630, 16838, 952, 519, 2296, 13450, 616, 711, 1040, 634, 3137, 666, 948, 596, 1174, 1946, 519, 13450, 616, 538, 519, 1016, 31019, 633, 7099, 538, 519, 1101, 1747, 269, 2372, 1512, 334, 6446, 1100, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 1616, 596, 547, 711, 581, 4411, 4700, 898, 781, 13061, 2436, 610, 711, 519, 1268, 568, 4411, 610, 711, 269, 634, 4845, 20475, 513, 6999, 267, 711, 8209, 4641, 269, 590, 1304, 334, 6446, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 6415, 20994, 596, 616, 4411, 4700, 634, 4845, 20475, 519, 10584, 781, 4664, 827, 513, 9228, 4641, 269, 1548, 568, 1271, 538, 713, 4845, 568, 519, 10584, 781, 4606, 267, 711, 952, 519, 824, 1268, 568, 2965, 4411, 269, 1855, 798, 344, 11465, 11024, 638, 9508, 16948, 6446, 1100, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 6415, 4758, 596, 1250, 10359, 865, 596, 4465, 1405, 581, 4411, 4700, 634, 4845, 20475, 519, 10584, 781, 8247, 267, 711, 8209, 4641, 269, 1530, 7989, 924, 6446, 561, 548, 1597, 11024, 21103, 553, 782, 6403, 269, 630, 10144, 616, 4847, 547, 5957, 13544, 1115, 972, 4700, 634, 8360, 20475, 10479, 585, 606, 2962, 547, 1491, 1747, 269, 667, 850, 513, 552, 12848, 6446, 561, 548, 557, 19448, 11024, 638, 9508, 269, 630, 307, 749, 1200, 547, 5957, 1200, 29075, 4700, 901, 20475, 513, 4971, 610, 6999, 540, 519, 10584, 269, 10507, 4782, 1043, 6446, 579, 23264, 525, 1100, 3842, 329, 523, 12103, 10722, 3570, 513, 700, 1180, 637, 269, 630, 2005, 568, 30074, 602, 596, 1810, 1405, 2951, 547, 5507, 14182, 4700, 634, 1016, 31019, 633, 568, 1419, 1031, 538, 4758, 5796, 269, 3143, 18720, 562, 611, 773, 6446, 512, 1263, 320, 9992, 6403, 334, 269, 630, 301, 984, 1328, 568, 4411, 4700, 901, 568, 606, 4082, 540, 513, 2258, 566, 540, 519, 2962, 538, 513, 29884, 16083, 269, 13669, 1654, 345, 512, 1263, 320, 9992, 6403, 334, 269, 630, 22818, 646, 568, 4411, 4700, 901, 568, 606, 4082, 540, 8969, 269, 13961, 586, 334, 8034, 5028, 678, 4815, 267, 547, 8364, 17144, 1714, 3423, 27713, 269, 630, 2252, 594, 941, 513, 3638, 812, 267, 594, 1131, 1404, 519, 535, 1497, 4700, 901, 568, 606, 4082, 540, 513, 3948, 14669, 547, 1249, 269, 8074, 602, 538, 713, 2296, 8144, 267, 834, 26200, 257, 568, 849, 538, 519, 1016, 31019, 633, 7099, 269, 24951, 519, 4427, 31019, 633, 543, 25824, 1438, 28239, 338, 1452, 4845, 8424, 1397, 3604, 1063, 519, 22566, 543, 1016, 31019, 633, 269, 8074, 875, 538, 1034, 540, 519, 1806, 267, 519, 2296, 8231, 1106, 568, 519, 1482, 538, 24758, 519, 1079, 5053, 30181, 269, 7151, 476, 272, 25824, 894, 281, 10507, 524, 328, 15300, 6446, 9042, 512, 31938, 269, 630, 2005, 568, 17386, 602, 1352, 568, 6028, 3735, 4700, 4427, 31019, 633, 281, 10507, 791, 657, 1043, 6446, 2892, 8615, 512, 31938, 269, 10507, 21483, 6446, 2892, 8615, 512, 31938, 269, 630, 2005, 568, 7543, 602, 1352, 568, 6028, 3735, 269, 898, 568, 2693, 602, 1352, 786, 4734, 3735, 4700, 19247, 281, 769, 519, 22566, 4845, 267, 519, 2038, 22576, 568, 4843, 607, 1249, 269, 769, 519, 1866, 267, 621, 568, 711, 269, 7151, 476, 273, 25824, 894, 281, 22084, 1723, 1714, 1286, 549, 3046, 6737, 6446, 30775, 542, 320, 269, 630, 296, 6415, 3168, 585, 519, 10464, 1286, 602, 1568, 4700, 4427, 31019, 633, 281, 22084, 1723, 796, 1286, 549, 3046, 6737, 6446, 30775, 7748, 269, 630, 296, 6415, 3168, 585, 513, 10464, 1286, 602, 1568, 4700, 19247, 281, 769, 519, 1101, 1383, 267, 519, 10584, 6487, 602, 972, 568, 513, 1286, 602, 13292, 519, 6609, 267, 865, 519, 22566, 568, 1031, 607, 606, 4082, 540, 4641, 269, 769, 519, 2034, 1383, 267, 972, 568, 8969, 602, 971, 513, 1286, 6818, 267, 865, 519, 1016, 31019, 633, 568, 1031, 269, 7151, 476, 274, 25824, 894, 281, 11511, 334, 6446, 3288, 3643, 14397, 1965, 27118, 269, 630, 296, 3494, 519, 21233, 568, 27118, 4700, 4427, 31019, 633, 281, 3143, 1212, 334, 6446, 3288, 3643, 14397, 4262, 27118, 269, 630, 296, 1810, 1405, 3494, 519, 21233, 568, 27118, 4700, 19247, 281, 634, 1016, 31019, 633, 568, 1031, 538, 519, 2034, 1383, 1317, 519, 29884, 16083, 568, 2258, 730, 676, 519, 1292, 16083, 269, 13575, 267, 519, 22566, 568, 1031, 609, 1212, 518, 6446, 610, 23445, 541, 6446, 267, 1247, 519, 1016, 31019, 633, 568, 1031, 609, 1100, 1212, 518, 6446, 610, 1100, 23445, 541, 6446, 269, 7151, 476, 275, 25824, 894, 281, 10507, 1073, 341, 1470, 6446, 512, 1329, 525, 7188, 3266, 269, 630, 2005, 568, 6654, 596, 723, 2724, 4700, 4427, 31019, 633, 281, 10507, 1207, 523, 334, 6446, 512, 1263, 553, 7188, 3266, 269, 630, 2005, 568, 1434, 596, 723, 2724, 4700, 19247, 281, 634, 22566, 568, 1031, 538, 519, 1101, 1383, 1317, 621, 20475, 4641, 610, 7805, 4641, 269, 634, 1016, 31019, 633, 568, 1031, 538, 519, 824, 1383, 1317, 519, 4845, 568, 513, 5114, 547, 519, 3948, 538, 519, 29884, 16083, 269, 7151, 476, 276, 25824, 894, 281, 13206, 5055, 536, 1329, 11188, 4302, 1965, 1096, 1729, 269, 630, 3891, 14753, 1134, 1317, 646, 781, 606, 4274, 4700, 4427, 31019, 633, 281, 13206, 5055, 536, 1329, 635, 334, 23313, 8034, 5028, 1096, 1729, 269, 630, 3891, 14753, 1134, 607, 952, 646, 941, 606, 4274, 4700, 19247, 281, 634, 1016, 31019, 633, 568, 1031, 538, 519, 2034, 1383, 1317, 621, 781, 13061, 547, 519, 4845, 2436, 646, 781, 606, 4274, 267, 4352, 519, 4845, 5267, 602, 646, 3884, 1405, 269, 7151, 476, 277, 25824, 894, 281, 13658, 27222, 3138, 533, 4240, 523, 554, 27468, 269, 630, 22818, 789, 666, 798, 621, 1496, 663, 594, 6415, 2386, 540, 621, 316, 4700, 4427, 31019, 633, 281, 13658, 27222, 3138, 533, 4240, 534, 554, 27468, 269, 630, 22818, 789, 666, 798, 621, 1496, 8117, 594, 8969, 621, 316, 4700, 19247, 281, 769, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7445, 24472, 318, 272, 6025, 264, 815, 512, 8961, 1269, 339, 1422, 514, 30585, 305, 267, 28363, 22668, 316, 14204, 7445, 24472, 318, 273, 6025, 264, 815, 512, 8961, 1269, 339, 1422, 514, 1496, 315, 22668, 267, 681, 316, 14204, 7445, 24472, 318, 274, 6025, 264, 815, 1422, 22668, 552, 3867, 328, 512, 20954, 1269, 339, 1422, 514, 1496, 271, 267, 1422, 7032, 316, 14204, 7445, 24472, 318, 275, 6025, 264, 815, 681, 552, 3867, 328, 512, 20954, 1269, 339, 1422, 514, 1496, 271, 267, 1422, 7032, 316, 6911, 3528, 595, 879, 16408, 781, 14497, 267, 519, 7533, 936, 519, 2898, 26048, 568, 4642, 269, 1924, 10484, 259, 271, 815, 1422, 842, 18155, 24472, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 910, 1422, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 275, 348, 535, 18750, 264, 546, 345, 6911, 2171, 1631, 6023, 1142, 540, 891, 29398, 14384, 780, 7445, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 3709, 268, 305, 8703, 10559, 22668, 348, 1422, 2765, 346, 324, 3867, 328, 1990, 12453, 345, 348, 546, 345, 815, 28363, 842, 18155, 22668, 11892, 305, 1422, 2765, 346, 324, 13064, 328, 1990, 12453, 345, 348, 546, 345, 14204, 7445, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 22668, 8703, 305, 348, 1422, 2765, 346, 324, 3867, 328, 1990, 12453, 345, 348, 546, 345, 6911, 13434, 16226, 519, 4214, 540, 519, 20534, 540, 513, 1950, 1297, 10484, 7445, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 22668, 11892, 305, 1422, 2765, 346, 324, 3867, 328, 1990, 348, 910, 552, 13064, 328, 1990, 12453, 345, 348, 546, 345, 815, 476, 273, 328, 1422, 842, 18155, 22668, 11892, 305, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 6911, 3086, 649, 6218, 519, 824, 1079, 29398, 692, 7445, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 318, 271, 17353, 7032, 348, 1422, 2765, 346, 324, 13064, 1422, 22668, 552, 3867, 527, 3686, 1775, 1422, 22668, 552, 3867, 328, 512, 24828, 22668, 552, 3867, 328, 512, 3686, 24303, 815, 1775, 1422, 842, 318, 271, 17353, 7032, 348, 552, 13064, 1422, 22668, 552, 3867, 527, 3686, 24303, 6911, 2026, 4399, 22668, 1422, 1729, 476, 271, 8961, 519, 2076, 8681, 4485, 835, 267, 865, 692, 7445, 3916, 18155, 22668, 1422, 1729, 476, 271, 348, 1422, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 815, 1775, 1422, 842, 318, 271, 17353, 7032, 348, 24303, 815, 1422, 7032, 1775, 6911, 763, 8772, 7533, 568, 3160, 547, 4642, 267, 855, 713, 568, 10169, 811, 2352, 547, 1397, 269, 4706, 1106, 568, 2147, 547, 602, 540, 519, 3791, 10126, 1384, 7445, 842, 18155, 24472, 318, 275, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 318, 271, 17353, 7032, 348, 552, 13064, 305, 552, 3867, 527, 3686, 24303, 6911, 1607, 2076, 8681, 568, 811, 2352, 267, 2094, 621, 991, 711, 1935, 4642, 10876, 269, 901, 7411, 666, 581, 7753, 676, 24590, 909, 519, 7533, 267, 855, 1934, 649, 3274, 8263, 621, 547, 581, 4642, 780, 23382, 1456, 3388, 267, 649, 1631, 723, 692, 7445, 842, 18155, 24472, 348, 535, 18750, 264, 546, 345, 815, 476, 271, 815, 476, 273, 1775, 1422, 842, 318, 271, 17353, 13727, 348, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 910, 1422, 7032, 1775, 6911, 17798, 10484, 7445, 842, 318, 271, 17353, 13727, 348, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 815, 1422, 2765, 3189, 7032, 2410, 273, 10592, 290, 879, 16408, 781, 6715, 1537, 16754, 692, 290, 879, 16408, 781, 7533, 4542, 1915, 3278, 519, 2623, 540, 2868, 14521, 923, 3252, 593, 513, 1305, 1759, 593, 741, 2623, 593, 519, 10465, 540, 602, 1305, 269, 1403, 4399, 29604, 259, 568, 606, 1930, 1305, 609, 513, 4062, 3772, 5347, 10465, 543, 1269, 325, 259, 568, 2868, 25806, 538, 4399, 8663, 3189, 29604, 20954, 1287, 692, 259, 325, 18750, 264, 815, 1422, 2765, 346, 272, 2410, 273, 1422, 7032, 1775, 348, 1422, 842, 18155, 14783, 1422, 29604, 348, 1422, 2765, 346, 325, 7268, 345, 9508, 264, 546, 315, 345, 9508, 7346, 345, 9508, 22271, 348, 1422, 1422, 1422, 1422, 1721, 718, 1990, 1422, 514, 1422, 29604, 6911, 1607, 568, 513, 7415, 1249, 799, 814, 1100, 11218, 538, 1617, 19041, 762, 11810, 269, 898, 3081, 602, 952, 649, 917, 519, 2418, 540, 513, 2868, 25806, 1599, 2059, 513, 6806, 7455, 267, 1287, 649, 917, 922, 2418, 10876, 538, 519, 9703, 540, 519, 7455, 780, 10303, 1269, 345, 1422, 514, 1422, 29604, 8961, 606, 1930, 1305, 267, 621, 5205, 602, 4399, 345, 9508, 22271, 1422, 928, 336, 476, 271, 259, 585, 782, 4399, 345, 9508, 1422, 514, 1422, 14783, 1422, 29604, 10608, 9747, 519, 2076, 8681, 538, 595, 879, 16408, 781, 7533, 4542, 568, 28222, 1114, 4192, 609, 2463, 547, 1990, 267, 543, 676, 14578, 2921, 16755, 540, 1312, 5011, 267, 649, 1205, 692, 259, 325, 3867, 263, 333, 14587, 630, 345, 264, 815, 1422, 2765, 23533, 256, 2410, 273, 1422, 7032, 1775, 348, 1422, 842, 18155, 14783, 315, 29604, 348, 1422, 2765, 346, 325, 7268, 345, 9508, 264, 546, 315, 345, 9508, 2410, 7268, 345, 9508, 22271, 22722, 333, 266, 272, 3686, 1422, 1422, 1422, 1422, 1721, 718, 1990, 1422, 514, 1422, 29604, 267, 562, 1422, 514, 1422, 13992, 346, 301, 10592, 1607, 1267, 2982, 602, 2868, 25806, 640, 568, 513, 1454, 6793, 10421, 982, 1114, 6636, 269, 769, 519, 1950, 7077, 267, 952, 513, 1599, 814, 1175, 513, 2582, 12045, 538, 606, 1930, 1305, 267, 1287, 621, 814, 28222, 1082, 16755, 538, 602, 1305, 780, 17357, 3326, 2456, 540, 595, 879, 16408, 781, 14497, 692, 290, 879, 16408, 781, 14497, 543, 7533, 4542, 723, 513, 1297, 540, 3532, 1351, 3326, 2456, 1384, 1892, 20593, 10885, 540, 1379, 3126, 1403, 513, 1599, 568, 2868, 25806, 538, 513, 1167, 267, 1287, 922, 13177, 3126, 4780, 2471, 538, 713, 1167, 563, 1892, 9149, 537, 6807, 781, 14497, 1403, 513, 1599, 568, 22112, 543, 2868, 25806, 538, 782, 540, 4399, 13992, 346, 290, 4151, 1287, 621, 568, 3160, 547, 513, 3586, 563, 1892, 27284, 14497, 540, 10789, 2353, 21335, 540, 4110, 3152, 982, 4642, 609, 1950, 14170, 723, 513, 1950, 3597, 269, 901, 568, 513, 2241, 1351, 3326, 776, 540, 9149, 537, 6807, 781, 11532, 563, 1892, 25734, 540, 3252, 1403, 1079, 3252, 1269, 325, 259, 543, 1269, 326, 259, 616, 2868, 25806, 593, 513, 4448, 267, 1930, 1305, 4399, 29604, 8961, 543, 1269, 325, 18750, 6661, 326, 18750, 7751, 593, 1022, 1167, 538, 713, 1305, 267, 1287, 1269, 325, 18750, 6661, 326, 18750, 7751, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 10608, 0, 258, 1215, 547, 1265, 519, 15497, 3259, 540, 513, 4009, 692, 320, 815, 2427, 3259, 7117, 815, 15497, 3259, 623, 815, 15943, 589, 815, 1858, 20734, 815, 4009, 3597, 18185, 2422, 2422, 713, 4009, 9498, 547, 1265, 519, 2427, 3259, 267, 15497, 3259, 267, 15943, 610, 1858, 540, 513, 12166, 692, 1012, 32243, 543, 769, 577, 4144, 21192, 18185, 692, 1103, 2241, 1913, 267, 519, 3259, 540, 513, 15497, 568, 3160, 547, 519, 3259, 540, 513, 2427, 16611, 676, 519, 4009, 3597, 540, 476, 273, 602, 568, 476, 272, 269, 29300, 269, 7151, 281, 14597, 519, 2427, 540, 4009, 3800, 476, 1724, 4699, 1287, 922, 15497, 786, 581, 546, 815, 521, 18414, 273, 4144, 21192, 815, 17121, 6398, 4009, 3597, 692, 1012, 4144, 21192, 540, 12384, 692, 2414, 5173, 513, 15497, 540, 513, 4009, 267, 9062, 519, 3259, 540, 835, 540, 519, 4009, 781, 5011, 676, 519, 4009, 3597, 540, 476, 273, 269, 1403, 596, 1810, 1405, 917, 519, 3259, 540, 835, 2427, 267, 596, 666, 1265, 621, 676, 726, 19982, 519, 4009, 781, 15943, 883, 519, 4542, 281, 15943, 815, 476, 275, 338, 267, 1141, 521, 568, 519, 3259, 540, 835, 2427, 269, 6423, 811, 692, 7476, 5530, 692, 7476, 19138, 568, 606, 3872, 3896, 602, 2488, 1053, 609, 1344, 593, 875, 547, 1353, 585, 741, 5049, 780, 23737, 2979, 4834, 692, 13043, 666, 581, 513, 2352, 1641, 585, 930, 1053, 267, 855, 609, 513, 2370, 9639, 543, 2259, 267, 621, 666, 581, 27058, 780, 29991, 14387, 3830, 692, 2414, 3313, 1018, 519, 2979, 1966, 568, 267, 596, 786, 991, 547, 1413, 693, 519, 2016, 1344, 543, 4137, 856, 1018, 568, 1373, 4280, 269, 4495, 596, 917, 1018, 519, 1966, 568, 267, 596, 666, 4194, 621, 1210, 519, 2016, 1344, 780, 1012, 9906, 16499, 517, 10118, 692, 27094, 621, 267, 519, 3268, 616, 2706, 2312, 269, 5395, 13124, 513, 3446, 1094, 591, 269, 4024, 2141, 946, 713, 256, 2485, 353, 15100, 267, 948, 29295, 538, 2025, 2042, 543, 1565, 1007, 2042, 269, 15020, 5363, 267, 2141, 4977, 269, 4706, 14393, 31397, 602, 649, 666, 4194, 2979, 1966, 1510, 20131, 543, 649, 666, 1451, 3728, 607, 1153, 610, 1164, 1153, 594, 600, 1360, 1970, 538, 2979, 855, 1310, 594, 946, 713, 813, 594, 546, 784, 917, 875, 594, 2968, 1101, 538, 1362, 780, 11990, 16690, 692, 276, 5182, 585, 596, 267, 1360, 1434, 543, 3551, 813, 602, 2337, 803, 609, 8357, 1944, 12596, 602, 594, 1419, 7340, 269, 6145, 1978, 3268, 585, 4834, 267, 621, 781, 31758, 782, 1250, 1966, 693, 476, 1911, 260, 6111, 267, 1100, 9073, 780, 298, 523, 12275, 21884, 692, 2791, 616, 519, 1655, 813, 10876, 256, 5272, 942, 594, 723, 7084, 593, 1250, 2979, 3992, 713, 568, 5863, 813, 14560, 596, 269, 901, 813, 568, 589, 7246, 313, 5058, 594, 9090, 4363, 621, 585, 1004, 945, 1616, 547, 1174, 606, 3830, 267, 621, 814, 782, 2645, 547, 2307, 519, 4834, 602, 3112, 581, 12193, 538, 606, 3328, 9498, 780, 21579, 3241, 30215, 692, 1012, 1215, 547, 12433, 4144, 21192, 20028, 9737, 12397, 619, 540, 513, 692, 763, 15497, 540, 4009, 4542, 815, 513, 18414, 273, 282, 1141, 1412, 320, 262, 568, 519, 2427, 3259, 269, 634, 2016, 2427, 3259, 568, 2655, 21114, 538, 713, 4542, 547, 1205, 519, 3259, 540, 519, 15497, 269, 1280, 1383, 267, 952, 519, 2427, 3259, 540, 513, 692, 24591, 942, 692, 2791, 666, 4688, 942, 676, 3257, 1919, 811, 7561, 780, 28733, 909, 2979, 1966, 692, 2252, 596, 2811, 10010, 547, 2312, 909, 513, 2979, 1966, 267, 1810, 1405, 2285, 909, 256, 1703, 616, 7899, 540, 2200, 543, 1004, 945, 666, 948, 596, 856, 269, 3807, 1832, 693, 621, 543, 596, 3513, 5555, 1205, 621, 780, 8201, 856, 14387, 1966, 692, 13043, 568, 513, 4101, 1641, 585, 1082, 1053, 267, 855, 609, 2259, 543, 18094, 267, 4896, 666, 1451, 547, 4137, 856, 1950, 4834, 780, 1012, 1215, 547, 4855, 519, 4144, 21192, 540, 513, 12384, 286, 630, 14300, 2020, 272, 269, 1280, 519, 1101, 2856, 267, 946, 519, 25355, 14497, 281, 2073, 1141, 513, 543, 536, 616, 519, 2427, 13080, 540, 519, 4009, 543, 524, 568, 519, 3259, 540, 519, 15497, 269, 476, 273, 269, 1403, 596, 917, 602, 20231, 10945, 666, 581, 1500, 883, 1079, 2027, 1318, 12730, 971, 602, 741, 7285, 616, 692, 1012, 476, 274, 18467, 547, 12433, 513, 4144, 21192, 540, 513, 12384, 692, 763, 4542, 547, 5173, 519, 1297, 540, 15497, 540, 606, 562, 21758, 20372, 815, 562, 3799, 268, 274, 8358, 273, 1141, 562, 568, 519, 1297, 540, 5011, 540, 519, 20372, 269, 1548, 568, 519, 3259, 540, 15497, 540, 513, 4009, 286, 2913, 1535, 4559, 581, 519, 692, 24169, 2262, 2055, 1932, 692, 13043, 568, 513, 1259, 540, 6061, 2042, 676, 1210, 2338, 543, 4834, 780, 5415, 982, 1175, 606, 813, 692, 2467, 781, 811, 547, 707, 3498, 982, 1175, 11423, 856, 519, 3029, 780, 29094, 6435, 6732, 692, 19185, 585, 513, 6325, 6780, 948, 2228, 286, 6744, 856, 938, 3896, 585, 476, 2190, 270, 278, 6351, 689, 938, 4274, 21493, 780, 13356, 728, 2979, 1966, 692, 296, 666, 948, 596, 609, 602, 2979, 1966, 256, 3807, 2285, 803, 513, 1906, 3764, 543, 594, 3513, 723, 519, 2626, 585, 596, 269, 0, 258, 1215, 547, 1265, 10167, 540, 476, 273, 3515, 540, 713, 3830, 2496, 273, 343, 266, 274 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 544, 4821, 267, 513, 19622, 6469, 543, 519, 1547, 3220, 682, 5501, 7005, 476, 24783, 272, 530, 322, 1915, 2079, 9267, 614, 682, 324, 7820, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 568, 513, 1404, 676, 561, 528, 9627, 554, 753, 9440, 713, 1404, 3217, 1747, 538, 669, 8522, 779, 5045, 2515, 930, 942, 1310, 1158, 2112, 13797, 563, 299, 528, 9627, 554, 534, 985, 9440, 779, 1404, 513, 986, 529, 514, 538, 519, 3141, 20475, 519, 9909, 543, 31536, 687, 540, 519, 1614, 2178, 4775, 3197, 538, 693, 2988, 673, 4008, 5107, 998, 1114, 5481, 561, 6511, 968, 332, 4821, 892, 7820, 568, 519, 1319, 686, 1105, 540, 519, 7820, 1920, 269, 634, 4775, 1909, 538, 513, 986, 529, 514, 538, 519, 3141, 3675, 324, 536, 561, 528, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 568, 519, 1650, 540, 513, 10010, 3109, 1920, 538, 669, 8522, 713, 1650, 24151, 554, 753, 9440, 781, 946, 540, 2178, 3109, 2021, 267, 1352, 729, 513, 10853, 7376, 267, 19832, 676, 8723, 543, 1483, 1004, 609, 1142, 835, 5693, 543, 12667, 569, 6537, 269, 31240, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 519, 3197, 538, 561, 528, 9627, 554, 753, 9440, 781, 1404, 616, 1360, 1713, 538, 1620, 519, 1404, 519, 3197, 616, 1806, 540, 789, 1259, 561, 528, 9627, 5030, 1554, 676, 1554, 1200, 2661, 950, 1352, 729, 513, 4819, 269, 9085, 30425, 281, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 519, 1404, 267, 519, 6648, 267, 543, 3109, 2021, 513, 986, 529, 514, 538, 519, 3141, 568, 513, 1404, 267, 1305, 538, 669, 8522, 1282, 519, 476, 4198, 271, 779, 2519, 593, 519, 1272, 543, 2591, 540, 513, 3109, 1920, 269, 5811, 540, 513, 986, 529, 514, 538, 519, 3141, 7005, 3332, 1557, 561, 528, 9627, 554, 753, 9440, 781, 1404, 15359, 1206, 2629, 2152, 602, 723, 5185, 19052, 22988, 281, 519, 26610, 4586, 288, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 568, 513, 1404, 827, 606, 19052, 7819, 1920, 20678, 547, 11886, 519, 7819, 5326, 538, 713, 3992, 267, 649, 4121, 827, 519, 1114, 3197, 543, 741, 1547, 634, 1404, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 676, 561, 528, 9627, 554, 753, 9440, 814, 1082, 4277, 3197, 538, 1250, 6644, 267, 519, 1034, 4241, 1915, 568, 678, 3578, 1317, 540, 1200, 1082, 4664, 543, 9159, 7209, 1352, 4422, 998, 3665, 4664, 538, 519, 1404, 971, 607, 8788, 267, 18354, 267, 10845, 267, 2566, 267, 543, 1547, 10261, 948, 593, 3197, 538, 561, 528, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 630, 1348, 2407, 1915, 2079, 264, 32406, 18588, 513, 986, 529, 514, 538, 519, 3141, 3197, 1396, 577, 11301, 26270, 322, 1547, 5192, 3388, 596, 991, 547, 917, 827, 561, 6511, 7820, 630, 332, 4821, 264, 538, 513, 986, 529, 514, 538, 519, 3141, 2079, 267, 1644, 10530, 267, 15415, 519, 1915, 540, 561, 6511, 7820, 630, 332, 4821, 264, 538, 513, 986, 529, 514, 538, 519, 3141, 689, 1396, 577, 11301, 1923, 519, 15888, 540, 8141, 17084, 269, 5381, 4978, 2291, 538, 519, 1404, 513, 986, 529, 514, 538, 519, 3141, 267, 676, 561, 528, 9627, 554, 753, 9440, 9267, 614, 682, 324, 267, 513, 1292, 1915, 538, 519, 1404, 267, 2829, 267, 968, 933, 835, 1895, 540, 2367, 13615, 547, 513, 5198, 540, 2021, 609, 1507, 8186, 892, 630, 327, 753, 9440, 476, 4200, 275, 1070, 10452, 513, 2631, 540, 5256, 7214, 27166, 563, 26046, 540, 2048, 320, 986, 529, 514, 538, 519, 3141, 8730, 676, 561, 528, 9627, 554, 753, 9440, 2278, 4282, 561, 528, 9627, 729, 4535, 538, 476, 4350, 271, 547, 1134, 13473, 11954, 3237, 945, 5030, 543, 5249, 538, 669, 8522, 269, 589, 1592, 540, 782, 519, 3197, 538, 513, 986, 529, 514, 538, 519, 3141, 519, 513, 986, 529, 514, 538, 519, 3141, 3197, 4988, 1331, 281, 9267, 614, 682, 324, 7820, 267, 9944, 320, 7820, 12462, 321, 3317, 773, 25257, 561, 6511, 7820, 12462, 332, 4821, 25257, 678, 3578, 7820, 267, 911, 6665, 7820, 267, 795, 24944, 607, 698, 2967, 267, 24636, 544, 3420, 2581, 267, 32275, 737, 22611, 561, 785, 1676, 267, 27342, 334, 267, 530, 11035, 554, 1551, 529, 267, 544, 3464, 795, 28427, 269, 589, 986, 529, 514, 538, 519, 3141, 281, 2178, 2021, 786, 5635, 2178, 4775, 3197, 689, 513, 986, 529, 514, 538, 519, 3141, 547, 616, 1614, 4775, 3197, 538, 561, 528, 9627, 554, 753, 9440, 779, 1404, 4586, 268, 538, 519, 1404, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 267, 835, 540, 519, 1292, 3197, 9944, 320, 7820, 13290, 547, 1265, 9887, 543, 4137, 856, 4010, 945, 1352, 568, 1352, 568, 513, 8938, 1032, 2025, 3109, 4807, 945, 1140, 1742, 2852, 538, 519, 5045, 2427, 540, 669, 8522, 269, 31240, 9627, 554, 753, 9440, 521, 1404, 513, 986, 529, 514, 538, 519, 3141, 729, 2484, 6619, 540, 922, 942, 538, 1312, 18995, 519, 4948, 1272, 540, 3109, 1004, 538, 513, 1259, 602, 544, 4821, 1915, 1547, 589, 986, 529, 514, 538, 519, 3141, 281, 1915, 2079, 1299, 7592, 544, 4821, 538, 513, 986, 529, 514, 538, 519, 3141, 281, 1915, 1299, 10530, 538, 513, 986, 529, 514, 538, 519, 3141, 267, 561, 528, 9627, 554, 753, 9440, 3091, 513, 10853, 543, 3532, 1650, 540, 513, 4586, 10403, 1557, 281, 538, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 543, 968, 335, 1156, 1580, 531, 4807, 892, 676, 949, 320, 21425, 537, 267, 1312, 554, 753, 9440, 543, 21425, 537, 946, 4008, 547, 1397, 1079, 1114, 269, 589, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 281, 2079, 540, 9944, 320, 7820, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 281, 2079, 540, 9944, 320, 7820, 849, 1634, 607, 968, 332, 4821, 2223, 4564, 1547, 769, 561, 528, 9627, 554, 753, 9440, 779, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 513, 3586, 6249, 540, 15691, 585, 1732, 543, 513, 1007, 1272, 6854, 4947, 883, 1404, 2429, 519, 1404, 267, 621, 568, 3833, 6654, 602, 1034, 3197, 1131, 899, 547, 723, 513, 2370, 811, 538, 1272, 267, 855, 1775, 1589, 713, 6249, 568, 1655, 3254, 998, 9267, 614, 269, 589, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 267, 3217, 922, 2140, 689, 519, 4583, 31423, 8725, 29751, 1127, 6648, 968, 320, 5326, 1219, 518, 1042, 5608, 4171, 6249, 568, 16079, 539, 2429, 519, 1404, 538, 513, 1507, 19887, 538, 669, 8522, 538, 519, 476, 4198, 271, 338, 267, 519, 2818, 540, 519, 7820, 1920, 267, 606, 19052, 7819, 1920, 267, 1142, 723, 2462, 9909, 540, 1018, 1547, 0, 13142, 3030, 540, 7510, 326, 7356, 542, 1557, 454, 2108, 6853, 326, 7356, 542, 729, 2854, 547, 4161, 519, 1362, 1062, 267, 2757, 11475, 543, 519, 5304, 779, 269, 26346, 2079, 540, 538, 24636, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 1451, 782, 827, 875, 519, 538, 7510, 326, 7356, 542, 971, 607, 2031, 326, 1231, 543, 1714, 21289, 3565, 547, 519, 1650, 543, 875, 789, 3514, 883, 269, 589, 1915, 1557, 593, 1714, 21289, 281, 7510, 326, 7356, 542, 519, 1650, 540, 7510, 326, 7356, 542, 568, 1759, 593, 513, 8106, 7242, 267, 543, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 4249, 593, 519, 7294, 1894, 327, 269, 589, 1915, 1557, 593, 1714, 21289, 281, 7510, 326, 7356, 542, 519, 1650, 540, 7510, 326, 7356, 542, 568, 1759, 593, 513, 8106, 7242, 267, 543, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 4249, 593, 269, 589, 2143, 6609, 540, 7510, 326, 7356, 542, 3197, 543, 741, 2956, 851, 540, 513, 1863, 1353, 3391, 689, 1433, 4048, 338, 1260, 563, 13695, 326, 7356, 542, 5288, 7168, 4807, 1557, 1032, 476, 1556, 16861, 1915, 1646, 543, 14759, 538, 7510, 326, 7356, 542, 607, 1134, 607, 7168, 4807, 269, 3367, 713, 7005, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 1714, 21289, 798, 7035, 1479, 281, 7510, 326, 7356, 542, 519, 1404, 7510, 326, 7356, 542, 676, 536, 1716, 731, 695, 1177, 814, 1082, 1114, 3197, 602, 269, 12877, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 7005, 3332, 1557, 7510, 326, 7356, 542, 729, 513, 1915, 538, 519, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 563, 6440, 2070, 543, 4647, 7510, 326, 7356, 542, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 7510, 326, 7356, 542, 1557, 269, 5131, 1557, 281, 6306, 689, 1373, 513, 7548, 540, 13093, 7497, 267, 646, 814, 513, 2620, 27527, 585, 3332, 543, 10178, 2886, 5128, 607, 513, 10564, 538, 782, 3978, 1145, 646, 14659, 269, 3367, 7510, 326, 7356, 542, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 7510, 326, 7356, 542, 2101, 3197, 29165, 2031, 326, 1231, 281, 4274, 13093, 2045, 1014, 543, 24401, 6150, 26137, 29134, 569, 563, 13695, 326, 7356, 542, 1557, 2688, 2875, 32275, 7510, 326, 7356, 542, 568, 513, 476, 4489, 273, 1404, 676, 24636, 536, 1716, 731, 695, 1177, 267, 3957, 1310, 513, 19967, 29631, 1915, 269, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 513, 1257, 949, 3895, 6654, 11984, 1063, 519, 2278, 658, 5639, 543, 1915, 781, 21169, 713, 666, 581, 2938, 538, 519, 1404, 540, 269, 12877, 326, 7356, 542, 1714, 21289, 798, 7035, 1479, 3349, 540, 9115, 1915, 2079, 1714, 21289, 798, 7035, 1479, 1433, 5658, 1557, 2055, 563, 288, 1592, 540, 4277, 2852, 1557, 3584, 593, 7510, 326, 7356, 542, 7510, 326, 7356, 542, 568, 835, 540, 519, 5929, 1568, 540, 5708, 602, 1018, 568, 519, 1909, 543, 4644, 540, 713, 1915, 269, 24951, 3197, 538, 2101, 3046, 321, 4673, 543, 7510, 326, 7356, 542, 910, 9236, 3197, 538, 2101, 3046, 321, 4673, 543, 7510, 326, 7356, 542, 713, 1557, 568, 1759, 593, 563, 32487, 593, 7510, 326, 7356, 542, 649, 2687, 547, 519, 19967, 7242, 543, 9065, 573, 779, 6648, 538, 23009, 4680, 267, 7510, 326, 7356, 542, 729, 513, 812, 945, 1018, 2306, 891, 3197, 269, 634, 6249, 540, 7510, 326, 7356, 542, 281, 6338, 267, 1865, 543, 5659, 3594, 7510, 326, 7356, 542, 568, 513, 1134, 1634, 1404, 602, 30237, 3278, 25654, 543, 1362, 538, 4619, 20187, 24469, 519, 1292, 269, 12877, 326, 7356, 542, 1353, 3391, 3568, 513, 12092, 540, 24636, 536, 1716, 731, 695, 1177, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 7510, 326, 7356, 542, 1353, 3391, 3568, 513, 12092, 540, 24636, 536, 1716, 731, 695, 1177, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 269, 0, 6826, 19354, 15225, 711, 1152, 10100, 267, 855, 9058, 14017, 950, 646, 31439, 547, 1491, 519, 17599, 689, 1010, 23013, 1586, 267, 646, 568, 606, 1383, 540, 519, 1259, 1920, 269, 769, 1312, 30556, 540, 519, 6648, 267, 972, 616, 9087, 2812, 547, 2322, 581, 19354, 781, 10100, 883, 4334, 538, 3954, 5658, 267, 972, 568, 796, 2536, 628, 267, 945, 267, 607, 581, 19354, 2798, 856, 267, 19330, 519, 2295, 2877, 1547, 29028, 267, 513, 982, 324, 540, 1728, 326, 601, 659, 267, 4622, 540, 519, 2520, 1846, 267, 4862, 540, 6067, 526, 601, 781, 23339, 543, 2760, 1354, 723, 1775, 2938, 971, 513, 6512, 540, 21046, 538, 971, 513, 29752, 7099, 563, 8201, 476, 272, 1869, 3239, 689, 581, 19354, 543, 6067, 526, 601, 7260, 3483, 4927, 581, 519, 535, 597, 1067, 267, 2295, 519, 1183, 10273, 267, 10100, 4927, 581, 519, 811, 267, 607, 938, 1522, 1447, 839, 1934, 6013, 269, 769, 519, 12473, 6648, 1412, 2041, 19354, 3299, 10100, 568, 519, 2582, 1034, 1271, 8984, 540, 513, 24116, 649, 786, 2263, 1946, 713, 568, 3020, 538, 519, 2796, 540, 269, 29028, 781, 1101, 9028, 540, 10100, 568, 950, 646, 9396, 1846, 6067, 526, 601, 6067, 526, 601, 568, 513, 20599, 602, 814, 1044, 20739, 1136, 688, 22106, 593, 646, 528, 582, 585 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 711, 1007, 547, 2257, 282, 3173, 723, 1634, 827, 519, 7613, 585, 5756, 269, 1809, 1906, 723, 11432, 1229, 922, 3483, 267, 1767, 2160, 540, 13325, 3662, 7350, 7548, 8230, 14529, 15607, 267, 945, 5342, 519, 1353, 609, 2022, 4777, 28118, 11001, 12253, 7647, 525, 563, 2108, 7197, 10786, 17675, 2371, 1107, 476, 3445, 2600, 1107, 26134, 741, 25450, 2223, 14529, 15607, 1767, 269, 968, 2171, 4941, 547, 917, 1018, 713, 1184, 729, 585, 3034, 1103, 513, 476, 1001, 272, 1353, 267, 14529, 15607, 543, 7647, 525, 7152, 602, 2371, 602, 4497, 538, 19856, 656, 11646, 5918, 6473, 849, 6450, 895, 811, 25525, 3585, 1310, 1373, 8697, 269, 634, 3173, 16143, 602, 11646, 5918, 6473, 729, 4758, 519, 2371, 519, 5818, 789, 2877, 547, 7753, 14488, 563, 6546, 1353, 543, 519, 1007, 835, 5059, 593, 6259, 573, 18462, 555, 6501, 320, 267, 513, 2030, 538, 519, 28401, 1920, 602, 1419, 568, 1031, 607, 513, 8047, 1641, 269, 2368, 6259, 573, 18462, 2371, 4497, 538, 11646, 5918, 6473, 543, 1866, 1810, 1406, 269, 8409, 602, 798, 666, 18645, 19421, 540, 12215, 540, 782, 540, 741, 15954, 538, 1367, 2281, 563, 1103, 519, 1007, 1353, 267, 7647, 525, 18084, 6259, 573, 18462, 2371, 602, 1185, 519, 2702, 547, 26134, 741, 25450, 609, 1346, 602, 26218, 713, 2702, 269, 1403, 519, 2078, 1063, 5027, 5918, 6473, 543, 20344, 729, 6071, 4755, 560, 766, 267, 519, 7681, 1063, 519, 1079, 1058, 14897, 538, 741, 15556, 267, 7647, 525, 1767, 563, 2108, 3719, 519, 7681, 30174, 538, 519, 15556, 2223, 646, 1767, 269, 968, 6546, 779, 519, 1101, 1899, 540, 2963, 602, 891, 1079, 7592, 3100, 547, 581, 12018, 1142, 824, 3034, 2414, 2417, 1449, 519, 8367, 267, 7647, 525, 4603, 958, 8476, 606, 6259, 573, 18462, 2030, 779, 2702, 547, 26134, 922, 11646, 269, 1261, 8359, 513, 1899, 602, 26218, 602, 2702, 543, 602, 849, 4810, 513, 2101, 5786, 538, 12680, 1310, 1373, 1178, 7458, 563, 2026, 4397, 267, 519, 12012, 2030, 6591, 519, 2702, 547, 25525, 3585, 6450, 895, 1310, 1373, 8697, 267, 519, 3173, 4080, 563, 14071, 941, 2111, 547, 4625, 11574, 519, 6382, 17672, 2360, 540, 3441, 2223, 7647, 525, 1767, 269, 968, 2467, 729, 1100, 3017, 538, 12680, 1063, 8697, 543, 3768, 600, 3042, 2371, 3034, 7049, 727, 5918, 6473, 14219, 1173, 525, 2281, 543, 2488, 811, 12215, 540, 1367, 6090, 267, 2693, 2810, 519, 2504, 540, 1883, 5946, 543, 824, 6675, 602, 5397, 1591, 2208, 267, 7647, 525, 1767, 269, 8892, 2090, 786, 1449, 891, 2093, 267, 646, 1767, 563, 763, 2817, 3163, 7690, 543, 772, 269, 540, 594, 269, 3194, 8274, 14102, 713, 1382, 563, 291, 10005, 962, 919, 1923, 31823, 2336, 6124, 4681, 948, 547, 1732, 5173, 519, 12084, 685, 9295, 547, 2916, 7939, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 10496, 10849, 2160, 6601, 5443, 575, 294, 3387, 295, 454, 1692, 13479, 543, 3327, 11103, 1223, 30396, 2569, 519, 6622, 4380, 8879, 3327, 8166, 5834, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 3353, 27528, 10713, 28059, 28228, 333, 7770, 454, 27807, 577, 2354, 723, 1044, 2919, 693, 570, 308, 654, 1329, 630, 309, 19652, 1070, 593, 799, 5160, 666, 581, 3812, 543, 8947, 269, 901, 2636, 23478, 519, 5160, 609, 1114, 6878, 538, 513, 1360, 6417, 1259, 563, 290, 738, 22899, 1480, 2281, 538, 519, 8891, 686, 8670, 568, 711, 513, 2462, 4161, 2221, 269, 21277, 1424, 5841, 5160, 267, 2705, 267, 15449, 730, 676, 5386, 1973, 8043, 267, 568, 513, 1454, 811, 2483, 293, 2120, 543, 5150, 1239, 2792, 281, 901, 568, 519, 3804, 540, 513, 1007, 4745, 1788, 5473, 21575, 689, 519, 2160, 540, 654, 14660, 345, 7921, 269, 634, 4436, 8549, 12080, 540, 4065, 543, 3194, 7482, 519, 1788, 609, 476, 1691, 269, 279, 2929, 20789, 563, 1103, 938, 3059, 1158, 1239, 3354, 543, 5150, 2792, 616, 4742, 811, 543, 811, 1271, 269, 17747, 2792, 568, 513, 9621, 1935, 547, 3035, 2483, 4002, 14349, 267, 476, 1015, 5437, 476, 1001, 279, 267, 519, 1382, 4672, 3691, 6033, 21069, 560, 1716, 786, 4734, 922, 1753, 1636, 540, 6601, 1067, 6409, 523, 267, 3808, 585, 15729, 16011, 267, 3162, 4000, 563, 2691, 7446, 2326, 547, 1118, 1945, 267, 4123, 32187, 991, 547, 581, 1500, 1063, 513, 3984, 540, 3601, 267, 971, 607, 11098, 267, 20765, 543, 2597, 269, 13689, 593, 519, 3498, 538, 2243, 267, 4466, 1175, 519, 1318, 3666, 568, 519, 3017, 1063, 1967, 543, 5821, 454, 3086, 267, 513, 2319, 540, 24282, 19296, 814, 7152, 513, 1007, 1570, 789, 1289, 834, 22974, 18201, 4580, 2437, 606, 24318, 987, 514, 6697, 540, 1351, 2607, 730, 1957, 21312, 269, 589, 4009, 2483, 24357, 27913, 693, 661, 8025, 2098, 584, 747, 6542, 875, 6959, 602, 2049, 1282, 519, 12879, 540, 7061, 1062, 666, 581, 16913, 543, 22621, 593, 519, 8038, 454, 763, 2361, 540, 7061, 19106, 814, 2938, 16854, 3356, 538, 2487, 1296, 269, 9779, 676, 3787, 267, 7061, 3457, 1376, 547, 4161, 6671, 5904, 267, 693, 2547, 2483, 6021, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 6187, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 2537, 269, 1015, 269, 1001, 279, 1923, 7926, 5240, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 10049, 7070, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 2657, 543, 6925, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 5020, 7070, 0, 14722, 693, 12590, 4659, 540, 5303, 630, 300, 3951, 264, 2475, 723, 2919, 513, 4715, 14029, 8084, 4480, 602, 1131, 948, 519, 476, 1708, 271, 9370, 681, 1478, 547, 1875, 2987, 11663, 1947, 2697, 21439, 602, 616, 5266, 796, 5306, 1229, 267, 543, 2226, 1454, 540, 741, 3312, 5888, 563, 22746, 29814, 5439, 786, 1450, 3744, 547, 2697, 519, 4191, 540, 5449, 1272, 267, 952, 789, 11478, 267, 593, 519, 2699, 4541, 563, 763, 1007, 4480, 568, 1759, 593, 606, 4824, 1259, 540, 16208, 519, 2164, 540, 10548, 534, 21655, 267, 513, 1455, 267, 1875, 1673, 652, 10614, 1184, 1031, 676, 2520, 5505, 547, 2697, 519, 3114, 5888, 540, 3504, 7725, 563, 1892, 898, 568, 513, 1455, 267, 1875, 1673, 652, 10614, 1184, 602, 2520, 5505, 946, 547, 2697, 519, 3114, 5888, 540, 3504, 7725, 563, 1892, 898, 568, 1031, 547, 2697, 2436, 513, 3732, 2270, 3327, 17675, 2339, 563, 1892, 634, 4527, 540, 3327, 17675, 2339, 5267, 602, 519, 3732, 949, 849, 723, 3771, 26092, 1129, 540, 1272, 563, 1892, 2060, 519, 1007, 2087, 21655, 2553, 282, 3173, 666, 1631, 849, 7447, 519, 5223, 540, 7250, 547, 3327, 8444, 538, 513, 3732, 563, 1892, 25756, 666, 581, 1031, 607, 4493, 547, 3313, 952, 513, 1978, 3732, 568, 29814, 610, 711, 563, 1892, 1403, 519, 3732, 814, 1970, 7250, 267, 621, 568, 2009, 602, 621, 814, 1995, 811, 8022, 267, 19249, 922, 5214, 2339, 543, 9561, 7250, 538, 513, 1106, 540, 15655, 563, 24916, 267, 519, 476, 1708, 271, 9370, 681, 1478, 1131, 581, 9280, 609, 1896, 3621, 2645, 1519, 2480, 8911, 13206, 3386, 2037, 4921, 609, 10548, 534, 543, 700, 29061, 12412, 585, 5029, 923, 543, 11906, 338, 630, 17239, 2207, 299, 8016, 1040, 15562, 2207, 299, 8016, 568, 606, 6293, 602, 786, 10536, 10548, 534, 26034, 689, 5439, 593, 610, 1175, 2630, 519, 6742, 1014, 2627, 269, 15562, 2207, 299, 8016, 786, 581, 11358, 538, 8159, 2436, 1272, 2479, 11478, 593, 9370, 563, 14946, 618, 540, 519, 4480, 693, 20037, 729, 4080, 538, 519, 4760, 12539, 563, 1708, 271, 9370, 681, 1478, 454, 22498, 814, 4566, 547, 10131, 513, 1007, 9370, 30024, 602, 786, 581, 25461, 547, 16785, 519, 3148, 593, 519, 4541, 5156, 547, 3180, 24790, 540, 3504, 15451, 1272, 269, 634, 30024, 786, 2445, 5439, 540, 7725, 543, 3037, 267, 543, 4558, 873, 593, 519, 6742, 1014, 2627, 563, 763, 6394, 5439, 1131, 581, 8120, 547, 3047, 28069, 538, 519, 11397, 2104, 865, 602, 3744, 666, 23939, 5659, 519, 5439, 585, 4191, 540, 1459, 610, 5449, 31373, 14111, 1272, 563, 3086, 1205, 5767, 7351, 16457, 593, 5985, 267, 8281, 1948, 476, 272, 7351, 16457, 2561, 454, 291, 3041, 290, 6369, 8379, 2207, 281, 808, 12195, 543, 922, 28930, 919, 4927, 723, 1100, 15668, 585, 1022, 5784, 267, 4555, 543, 8292, 6829, 593, 713, 2376, 269, 0, 296, 576, 1633, 26439, 545, 13192, 3143, 21784, 585, 31697, 454, 763, 15027, 5533, 602, 3262, 782, 936, 2342, 1310, 519, 20349, 540, 513, 18962, 538, 19360, 786, 711, 3914, 31697, 267, 1767, 31697, 781, 12080, 540, 13255, 563, 20288, 4751, 338, 1397, 602, 519, 11849, 12269, 786, 711, 979, 607, 2484, 607, 31697, 269, 1358, 786, 3914, 27718, 13960, 267, 17158, 7187, 27597, 267, 1034, 540, 21640, 543, 15212, 267, 543, 3262, 782, 519, 1259, 547, 519, 13323, 540, 24131, 563, 4263, 519, 1439, 540, 4728, 267, 519, 29431, 329, 2378, 329, 718, 26953, 2131, 1638, 18962, 267, 799, 1185, 1044, 26862, 585, 476, 1220, 1296, 267, 30192, 538, 5045, 19360, 269, 4706, 1743, 14823, 607, 1127, 723, 7930, 6603, 1804, 2694, 540, 2342, 543, 723, 530, 3754, 688, 22106, 693, 3864, 29032, 267, 609, 930, 476, 1704, 476, 1822, 8184, 23545, 725, 513, 1554, 269, 3509, 19426, 547, 543, 689, 31697, 781, 3854, 1924, 325, 807, 941, 849, 666, 576, 1194, 593, 11016, 563, 295, 4348, 338, 540, 5215, 540, 15915, 723, 1044, 4299, 543, 4049, 21463, 1223, 8831, 547, 1082, 2395, 547, 2097, 267, 1519, 19426, 547, 3345, 3013, 543, 5607, 936, 519, 18962, 779, 6024, 552, 20287, 540, 11849, 543, 8673, 1247, 10196, 2161, 789, 798, 711, 2503, 519, 15027, 2534, 547, 1439, 538, 519, 1985, 1906, 2395, 563, 10932, 540, 15027, 607, 1127, 3323, 1394, 538, 476, 2735, 273, 543, 729, 15427, 676, 519, 1101, 2479, 20987, 8009, 3361, 676, 15027, 5533, 269, 2334, 1032, 645, 27739, 476, 278, 5325, 10760, 689, 918, 783, 320, 700, 2086, 584, 267, 17111, 267, 547, 3131, 628, 267, 5245, 267, 18084, 513, 15027, 6531, 267, 782, 2185, 540, 922, 9817, 11074, 2324, 543, 1310, 513, 7008, 540, 28336, 8942, 267, 519, 12681, 6368, 1500, 606, 6595, 13941, 538, 12868, 781, 3854, 32021, 21840, 563, 268, 9732, 2290, 540, 519, 8262, 7465, 7464, 24529, 7767, 832, 538, 31697, 590, 20635, 922, 7935, 12027, 720, 6355, 454, 268, 9732, 23554, 657, 3873, 25376, 4582, 731, 3816, 1622, 7324, 519, 4258, 777, 652, 19255, 4771, 6790, 1115, 538, 519, 26811, 753, 454, 268, 9732, 1215, 547, 24344, 2859, 11426, 619, 538, 476, 1001, 280, 454, 268, 9732, 19678, 2103, 14308, 607, 13937, 2598, 335, 1393, 27817, 590, 13990, 5131, 4506, 454, 268, 9732, 10738, 519, 26811, 534, 13937, 16735, 267, 31697, 786, 849, 12706, 513, 13937, 16510, 454, 268, 9732, 24542, 543, 1261, 908, 31245, 538, 31697, 3816, 664, 1133, 577, 6548, 19402, 519, 7736, 540, 1261, 908, 17897, 0, 307, 516, 341, 528, 18999, 5112, 6941, 519, 2257, 3297, 14335, 3636, 5346, 7014, 1808, 547, 10977, 267, 543, 875, 513, 5265, 2966, 3636, 909, 666, 711, 1152, 2061, 5945, 855, 849, 2087, 10977, 2773, 269, 27749, 454, 10000, 11845, 707, 3636, 909, 1935, 547, 2866, 543, 6735, 454, 310, 9879, 909, 609, 513, 6422, 267, 5059, 6296, 267, 4481, 3358, 547, 707, 6074, 7328, 454, 2005, 568, 513, 1455, 1480, 17528, 547, 1413, 1360, 2182, 1107, 6148, 1932, 2182, 1107, 693, 1945, 543, 1869, 3111, 547, 1294, 1018, 779, 31325, 596, 538, 519, 3068, 269, 901, 949, 2491, 1946, 19393, 543, 9845, 723, 4797, 547, 1832, 5132, 609, 519, 2025, 16654, 3636, 5346, 5103, 20387, 2963, 602, 621, 3085, 1406, 798, 1018, 621, 3081, 593, 519, 17646, 563, 2005, 779, 513, 2016, 602, 649, 991, 547, 3636, 909, 1354, 649, 838, 11781, 267, 5734, 513, 17281, 3440, 610, 3801, 513, 2973, 543, 795, 17064, 269, 634, 1184, 22316, 721, 15508, 543, 9308, 585, 519, 4305, 6619, 269, 27603, 267, 9845, 689, 1034, 5026, 723, 1044, 1031, 547, 9870, 741, 1560, 2837, 609, 476, 276, 268, 1428, 3764, 540, 9543, 9025, 630, 20302, 264, 960, 543, 1287, 15198, 1055, 269, 1306, 513, 1279, 7914, 19002, 267, 594, 666, 3314, 28185, 3101, 513, 7008, 540, 561, 2355, 547, 1205, 2731, 3636, 267, 1287, 9361, 543, 10004, 1154, 585, 519, 1985, 3368, 606, 5662, 1247, 27581, 15198, 269, 1635, 519, 942, 519, 8400, 3323, 267, 594, 8910, 1419, 581, 4411, 1312, 9308, 543, 15508, 269, 3733, 1560, 1131, 723, 23564, 1055, 543, 594, 1131, 581, 2484, 689, 5688, 958, 5423, 585, 519, 6422, 2534 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 275, 4817, 282, 568, 519, 2698, 2179, 538, 519, 2272, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 2179, 538, 519, 2272, 585, 1299, 258, 343, 272, 291, 5392, 279, 282, 1373, 1447, 982, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 4374, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 5392, 279, 282, 1341, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 5392, 279, 282, 568, 519, 4830, 4756, 269, 1948, 540, 1284, 4060, 11192, 2549, 870, 538, 10055, 630, 514, 9489, 264, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1948, 540, 3687, 2373, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 275, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 9293, 29921, 829, 3687, 1393, 1948, 1993, 24552, 23777, 539, 11192, 8649, 870, 514, 28398, 263, 785, 3326, 1513, 264, 1948, 540, 4374, 14559, 538, 14205, 902, 10055, 454, 1892, 476, 278, 269, 7689, 476, 3953, 281, 11638, 28157, 10819, 538, 519, 7464, 2622, 11261, 281, 476, 276, 270, 1626, 270, 1691, 476, 30306, 1299, 258, 343, 288, 280, 282, 476, 1001, 274, 5871, 11759, 267, 5549, 269, 2368, 2924, 11603, 269, 1455, 14537, 3820, 901, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 274, 269, 271, 1133, 19959, 17821, 269, 12924, 306, 25265, 2177, 2910, 3918, 13878, 30388, 595, 7838, 30278, 8085, 9331, 476, 277, 261, 258, 343, 1708, 273, 282, 275, 8893, 476, 3953, 1948, 540, 4374, 11192, 8649, 870, 7268, 259, 264, 11192, 2549, 870, 590, 8491, 476, 273, 269, 24910, 568, 2921, 513, 3454, 328, 689, 519, 19633, 547, 1010, 1753, 269, 1703, 568, 513, 8096, 261, 258, 343, 272, 291, 278, 291, 275, 282, 6366, 13927, 585, 14964, 538, 519, 3454, 328, 269, 769, 1840, 267, 24910, 1590, 849, 2628, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 829, 13304, 269, 3503, 606, 3830, 1141, 1299, 258, 343, 272, 291, 4366, 292, 282, 568, 519, 1297, 540, 5195, 543, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 2698, 1942, 540, 519, 3454, 328, 11878, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 1942, 585, 1299, 258, 343, 272, 291, 4366, 292, 282, 1373, 1447, 982, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 5195, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 4366, 292, 282, 1341, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 4366, 292, 282, 568, 519, 4830, 4756, 269, 1948, 540, 30683, 11192, 8779, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 278, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 20003, 282, 476, 274, 269, 17555, 3323, 609, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 269, 2701, 10710, 606, 3606, 8096, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1142, 3018, 269, 3503, 606, 3830, 602, 666, 581, 1031, 547, 3313, 519, 2698, 2179, 10710, 267, 1299, 258, 343, 272, 291, 275, 4817, 282, 267, 1310, 513, 2016, 1297, 540, 4374, 267, 1299, 258, 343, 272, 291, 5392, 279, 282, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 2179, 10710, 585, 1101, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 4374, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 5392, 279, 282, 1341, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 5392, 279, 282, 568, 519, 4830, 4756, 269, 1948, 540, 1284, 4060, 11192, 2549, 870, 630, 15478, 264, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 11192, 21798, 7268, 259, 264, 11192, 8779, 540, 513, 12525, 328, 681, 728, 7089, 540, 30683, 454, 1892, 476, 279, 269, 7689, 476, 3953, 281, 11638, 28157, 10819, 538, 519, 7464, 2622, 11261, 281, 476, 276, 270, 1626, 270, 1691, 476, 24833, 1299, 258, 343, 288, 280, 282, 476, 1001, 274, 5871, 11759, 267, 5549, 269, 2368, 2924, 11603, 269, 1455, 14537, 3820, 901, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 274, 269, 271, 1133, 19959, 17821, 269, 12924, 306, 25265, 2177, 2910, 3918, 13878, 30388, 595, 7838, 30278, 8085, 9331, 476, 277, 261, 258, 343, 1708, 273, 282, 275, 8893, 476, 3953, 476, 275, 269, 1325, 12011, 1695, 568, 11449, 3132, 693, 519, 6705, 261, 258, 343, 1001, 280, 282, 2344, 269, 2701, 4566, 547, 4444, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 4502, 540, 12277, 543, 930, 13212, 269, 634, 13212, 1942, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 829, 11013, 269, 3503, 606, 3830, 547, 1397, 519, 2698, 1942, 540, 519, 3132, 267, 1141, 1299, 258, 343, 272, 291, 5325, 289, 282, 568, 519, 2698, 1942, 543, 1299, 258, 343, 272, 291, 4366, 273, 282, 568, 519, 1297, 540, 6550, 540, 13212, 269, 14419, 799, 4756, 568, 8200, 543, 4830, 269, 3973, 3113, 519, 3830, 593, 519, 11282, 7077, 269, 1299, 258, 343, 272, 291, 5325, 289, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 4366, 273, 282, 1341, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 634, 2698, 1942, 568, 519, 8200, 4756, 269, 634, 1297, 540, 6550, 540, 13212, 568, 519, 4830, 4756, 269, 1948, 540, 623, 2432, 540, 2561, 956, 11192, 8779, 630, 15478, 264, 476, 271, 476, 1015, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 273, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 276, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1948, 540, 18470, 269, 540, 13212, 11192, 8779, 693, 519, 26478, 261, 258, 343, 1001, 280, 282, 10369, 11192, 21798, 7268, 259, 264, 0, 258, 16448, 531, 5506, 692, 1892, 4924, 476, 279, 628, 476, 1001, 271, 267, 476, 1321, 281, 2412, 7537, 454, 331, 739, 272, 454, 15368, 673, 344, 519, 1627, 568, 912, 1789, 260, 946, 5839, 267, 476, 2004, 260, 946, 8837, 267, 476, 736, 260, 946, 12380, 563, 9827, 476, 2568, 260, 540, 5672, 814, 3644, 267, 476, 3199, 260, 540, 8837, 814, 3644, 267, 476, 1015, 260, 12380, 814, 3644, 563, 288, 4351, 2780, 568, 6074, 543, 568, 1336, 547, 723, 3644, 269, 1548, 568, 519, 5506, 602, 713, 2780, 568, 513, 8837, 7193, 2496, 2414, 513, 2147, 2243, 1250, 20131, 973, 558, 2105, 5373, 909, 513, 3349, 865, 594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1804, 11544, 12826, 267, 9192, 24268, 7423, 267, 3043, 4006, 267, 543, 6960, 4006, 2394, 1134, 6404, 269, 4635, 606, 3167, 3575, 518, 610, 31953, 267, 10726, 519, 7848, 2394, 5347, 269, 634, 4999, 540, 24268, 7423, 543, 14836, 5932, 513, 1750, 14567, 9403, 676, 7303, 1932, 1454, 15347, 5250, 1282, 519, 11544, 1184, 780, 7659, 17785, 281, 5269, 2386, 707, 7423, 3884, 1405, 9470, 3429, 3905, 950, 9256, 609, 519, 14836, 282, 6382, 267, 621, 1522, 3434, 519, 5798, 16349, 569, 538, 519, 1985, 1900, 780, 3721, 476, 274, 281, 19468, 538, 28096, 543, 11709, 8759, 6987, 847, 454, 11754, 835, 4212, 693, 513, 942, 547, 519, 7423, 1606, 13610, 7848, 267, 25588, 8499, 1310, 1142, 1840, 269, 2991, 1312, 5798, 723, 1044, 11368, 267, 13489, 538, 519, 29877, 1349, 269, 2142, 908, 519, 5798, 14350, 2636, 873, 547, 900, 6160, 1518, 5265, 883, 519, 3170, 267, 4611, 538, 513, 23887, 23739, 14859, 780, 3721, 476, 275, 281, 19837, 9876, 645, 1136, 590, 18649, 538, 12182, 4826, 454, 1103, 513, 5094, 1507, 12826, 267, 23271, 11256, 14614, 538, 3905, 1216, 269, 3973, 1039, 713, 3070, 2059, 609, 6070, 547, 519, 6632, 5820, 538, 519, 1804, 11544, 12826, 269, 853, 597, 2394, 4628, 5916, 269, 17006, 11256, 14614, 543, 3905, 1216, 14384, 5849, 1697, 3892, 2429, 519, 14859, 267, 799, 8309, 547, 1256, 8375, 1282, 11256, 780, 3721, 476, 276, 281, 26431, 2349, 754, 4469, 712, 543, 674, 1245, 538, 932, 2354, 1299, 715, 7491, 454, 306, 869, 569, 11100, 538, 7912, 267, 827, 513, 3368, 7484, 693, 513, 942, 267, 1210, 513, 12285, 22883, 3121, 269, 4495, 782, 519, 7912, 814, 1044, 3773, 267, 9900, 16784, 538, 519, 10217, 13365, 543, 10808, 952, 1210, 269, 3683, 332, 30480, 666, 1291, 547, 9157, 12897, 267, 865, 581, 6297, 711, 547, 936, 4777, 621, 269, 674, 13783, 3079, 540, 28817, 28933, 2011, 22836, 1369, 519, 14859, 267, 3056, 547, 14402, 267, 13035, 12897, 780, 7659, 10842, 5202, 281, 1280, 1655, 2164, 267, 12104, 4733, 519, 14859, 585, 693, 2547, 606, 5662, 1354, 5935, 543, 11256, 269, 901, 1964, 1974, 2636, 519, 7912, 547, 3289, 3433, 4625, 267, 7393, 8137, 1646, 543, 2949, 2497, 780, 3721, 476, 277, 281, 23426, 13648, 773, 667, 965, 454, 291, 1886, 17031, 29537, 995, 338, 540, 669, 2683, 14859, 5196, 5423, 11256, 9212, 267, 19437, 873, 827, 1079, 6279, 6306, 269, 1411, 949, 849, 946, 513, 23739, 1085, 17274, 585, 811, 7833, 7306, 269, 4964, 1524, 5594, 593, 1142, 544, 895, 547, 24609, 5594, 780, 3721, 476, 278, 281, 645, 820, 13648, 625, 454, 289, 820, 585, 476, 279, 268, 1015, 3764, 538, 840, 515, 730, 14089, 610, 2394, 8728, 616, 21066, 11344, 269, 5457, 602, 12897, 3136, 547, 27106, 13713, 1310, 8851, 689, 519, 14089, 1813, 547, 4163, 1478, 5986, 269, 7201, 321, 8898, 12897, 1267, 538, 513, 2571, 267, 1750, 14567, 4099, 267, 1247, 936, 321, 8898, 3283, 1831, 2182, 543, 29511, 344, 269, 4475, 267, 20093, 593, 519, 2427, 540, 896, 321, 1136, 585, 6099, 9403, 780, 3721, 476, 279, 281, 14190, 13648, 625, 547, 15346, 454, 4131, 3579, 593, 11256, 9212, 585, 2947, 3764, 1354, 22151, 547, 513, 5911, 9023, 24646, 269, 14190, 532, 12897, 547, 1305, 909, 7620, 593, 519, 3636, 11256, 6656, 2306, 873, 4443, 547, 6023, 1510, 8840, 6306, 269, 13159, 9023, 593, 513, 5911, 24646, 11151, 521, 17344, 1465, 3361, 676, 16290, 3002, 18284, 780, 3721, 476, 280, 281, 15188, 13648, 625, 7743, 569, 454, 1805, 648, 22799, 12897, 538, 606, 2011, 31259, 8708, 547, 2226, 4195, 1145, 269, 1403, 13936, 585, 6905, 5712, 267, 2015, 4946, 513, 20105, 540, 3694, 547, 10110, 4430, 7509, 269, 17968, 267, 19068, 30898, 8898, 11084, 540, 14859, 585, 2663, 946, 269, 15439, 555, 1177, 543, 27106, 607, 9859, 8164, 596, 7287, 28448, 19323, 12897, 780, 3528, 5402, 1739, 891, 3268, 543, 1620, 519, 7744, 3297, 1142, 2962, 267, 596, 3513, 4487, 519, 1148, 540, 11256, 632, 937, 762, 10217, 13863, 12897, 269, 8414, 11256, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 820, 930, 10217, 13863, 12897, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 1572, 13983, 839, 10921, 267, 5030, 1079, 1655, 2828, 3957, 6341, 543, 23183, 269, 1358, 6068, 3695, 519, 18137, 2282, 741, 5321, 543, 1565, 782, 827, 2470, 543, 875, 1919, 960, 269, 2290, 1554, 267, 789, 16686, 2390, 513, 9490, 2025, 812, 9361, 1985, 547, 513, 11164, 17331, 2156, 758, 269, 1261, 5189, 5128, 607, 6004, 269, 5700, 32717, 22433, 543, 5143, 873, 646, 729, 2324, 593, 1945, 9058, 780, 10501, 1190, 267, 6341, 543, 23183, 4280, 1864, 1018, 621, 729, 269, 2060, 513, 1000, 30257, 538, 1010, 3750, 267, 6004, 269, 5700, 32717, 22433, 7000, 606, 6946, 2203, 540, 513, 3684, 267, 7429, 4376, 519, 1453, 1185, 2479, 2938, 1354, 269, 834, 1607, 2437, 1767, 6004, 269, 5700, 32717, 22433, 267, 834, 529, 519, 2104, 256, 901, 568, 513, 18343, 795, 10154, 267, 513, 3684, 11827, 1282, 519, 11633, 7169, 602, 786, 22499, 519, 1259, 649, 1118, 9660, 3010, 2026, 789, 19557, 547, 6004, 269, 5700, 32717, 22433, 2911, 811, 827, 519, 13300, 540, 519, 11633, 7169, 267, 899, 15327, 6721, 5370, 5488, 982, 2479, 1354, 267, 14884, 8220, 4872, 267, 543, 1007, 2326, 1373, 1500, 267, 519, 3214, 7948, 1405, 2270, 741, 10761, 269, 1717, 267, 1310, 930, 2219, 267, 23183, 6743, 14126, 569, 693, 1200, 3659, 269, 834, 3719, 6341, 267, 3884, 1405, 621, 3983, 952, 3025, 6238, 3001, 2476, 689, 8105, 543, 13167, 267, 543, 3079, 1568, 1152, 538, 891, 2462, 15327, 8119, 1352, 9289, 16965, 780, 16031, 269, 5700, 32717, 22433, 20493, 27145, 267, 1620, 1200, 6161, 269, 834, 2791, 2811, 1318, 267, 1250, 15210, 269, 2755, 519, 11633, 7169, 814, 4547, 1082, 2318, 2242, 267, 621, 1705, 2097, 609, 4539, 1932, 269, 3509, 1004, 2451, 741, 11396, 543, 2757, 6009, 547, 1265, 1732, 13848, 538, 519, 2749, 15327, 267, 799, 3006, 22314, 2950, 269, 1809, 3314, 267, 3356, 2141, 2501, 609, 2591, 267, 543, 6061, 1346, 2042, 666, 1291, 721, 547, 1256, 3152, 18563, 15323, 9617, 1287, 267, 519, 2666, 9944, 873, 3323, 24373, 3423, 1836, 269, 589, 10978, 6846, 3357, 689, 19654, 1141, 1216, 2095, 539, 856, 540, 519, 4104, 269, 1677, 741, 16897, 267, 789, 7691, 602, 513, 2481, 3710, 7404, 1185, 16802, 1930, 1813, 547, 5230, 11811, 269, 5517, 1559, 909, 18182, 5950, 14107, 883, 519, 5757, 267, 7432, 519, 2899, 6986, 6908, 6757, 269, 16645, 6162, 32357, 2509, 873, 267, 17512, 1881, 602, 741, 11537, 1753, 1131, 4166, 1831, 796, 514, 4725, 3386, 1317, 540, 4028, 4853, 7269, 780, 306, 19488, 267, 519, 7772, 543, 4898, 618, 5828, 1474, 828, 269, 4634, 1498, 519, 11633, 7169, 1185, 9927, 519, 3703, 4346, 267, 2870, 5763, 543, 3255, 267, 621, 2968, 10423, 602, 711, 6236, 2825, 5222, 1223, 1267, 538, 14042, 2360, 269, 1656, 865, 267, 938, 9661, 7475, 30122, 1107, 3450, 1762, 8186, 519, 2956, 540, 13326, 5647, 609, 6940, 267, 4180, 10103, 1063, 3621, 7760, 543, 12624, 7186, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 729, 519, 1764, 540, 519, 11633, 7169, 593, 519, 3703, 4346, 888, 763, 11633, 7169, 1185, 513, 13710, 1764, 593, 519, 3703, 4346, 269, 898, 3366, 547, 513, 7372, 2333, 538, 7607, 267, 607, 6191, 543, 3157, 7494, 4824, 7607, 538, 519, 5663, 6080, 269, 898, 849, 4718, 519, 5137, 540, 1007, 6080, 971, 607, 20955, 267, 4401, 543, 5374, 5663, 267, 543, 12227, 2504, 269, 634, 8244, 540, 1007, 543, 10464, 5370, 2813, 1007, 6990, 543, 2799, 3747, 689, 1004, 945, 941, 5892, 8572, 547, 6488, 873, 269, 8528, 763, 11633, 7169, 3366, 547, 513, 10565, 2333, 538, 4123, 267, 1312, 29143, 1227, 543, 18368, 267, 543, 621, 23185, 519, 2208, 540, 519, 3703, 7276, 269, 25790, 538, 6283, 543, 2792, 267, 971, 607, 519, 5137, 540, 7841, 1811, 543, 519, 751, 25393, 267, 2417, 5818, 539, 519, 4346, 676, 1818, 621, 4443, 547, 1847, 1004, 543, 5370, 1472, 519, 2197, 543, 519, 1158, 269, 8528, 4913, 267, 519, 11633, 7169, 849, 1185, 922, 19363, 269, 634, 2208, 540, 22713, 3366, 547, 936, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 6138, 256, 4653, 649, 786, 2263, 513, 3350, 1572, 1715, 7698, 1143, 607, 851, 540, 1945, 1572, 1546, 18586, 269, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 910, 649, 2811, 1934, 547, 2736, 873, 1524, 1927, 2439, 5331, 596, 616, 4730, 609, 707, 5172, 2679, 7161, 269, 1411, 10518, 873, 909, 267, 22545, 873, 1524, 267, 543, 1628, 1586, 269, 3962, 3625, 568, 1271, 1317, 621, 8309, 547, 519, 2898, 2497, 269, 3767, 267, 1577, 781, 1589, 827, 713, 538, 2474, 540, 938, 10450, 267, 899, 5656, 267, 6517, 267, 9660, 267, 543, 1256, 1426, 1107, 789, 2811, 782, 1500, 909, 540, 1114, 2326, 602, 2097, 1927, 547, 1711, 1945, 3730, 543, 6209, 269, 901, 2856, 13462, 547, 1018, 15806, 1289, 1412, 332, 1468, 1143, 9538, 1358, 3494, 602, 2168, 2339, 630, 3697, 1346, 2679, 7161, 264, 5546, 938, 2833, 543, 1620, 540, 519, 1158, 780, 3086, 267, 1412, 2908, 1570, 1143, 262, 3217, 1919, 513, 1900, 2417, 269, 5994, 952, 707, 2679, 7161, 1223, 2911, 1394, 547, 596, 267, 4687, 741, 1378, 2984, 543, 12018, 875, 596, 1404, 609, 873, 269, 16319, 1187, 267, 1318, 286, 4270, 267, 1007, 1570, 1235, 3494, 602, 2326, 2933, 666, 723, 8116, 267, 799, 1797, 789, 666, 1860, 1142, 824, 543, 3310, 2621, 269, 1280, 1383, 267, 950, 596, 11878, 513, 11332, 267, 1312, 596, 543, 519, 11332, 960, 1927, 282, 922, 3337, 267, 2597, 267, 543, 1374, 1764, 875, 12347, 596, 29465, 543, 27464, 269, 1924, 267, 2687, 547, 1007, 1570, 1235, 267, 1004, 543, 3615, 5749, 1405, 7357, 5094, 855, 2864, 2170, 543, 30598, 780, 3719, 7227, 267, 972, 781, 811, 256, 1284, 5018, 632, 18586, 4505, 269, 6056, 540, 7938, 571, 6137, 513, 10516, 4494, 676, 4494, 2394, 596, 1174, 1169, 4062, 3330, 269, 2334, 1184, 540, 13031, 6456, 10848, 568, 2147, 547, 632, 18586, 269, 11096, 14279, 946, 621, 547, 4161, 2757, 2081, 540, 3206, 267, 2523, 950, 3168, 693, 2462, 2035, 899, 1379, 267, 3961, 267, 543, 2528, 269, 1635, 6313, 4130, 2694, 1369, 891, 1949, 267, 789, 7866, 4296, 1063, 3425, 543, 1875, 25993, 9988, 899, 2029, 543, 2470, 780, 4131, 781, 3142, 713, 6251, 547, 1753, 269, 5620, 596, 2479, 2219, 827, 875, 707, 16335, 5540, 707, 17052, 267, 1565, 267, 610, 3232, 13467, 286, 2107, 2808, 875, 2371, 948, 2973, 519, 2011, 1472, 721, 286, 1452, 2055, 13686, 519, 3741, 540, 1007, 1570, 1143, 543, 632, 18586, 269, 1879, 649, 1413, 4514, 883, 3347, 1851, 1585, 2609, 267, 1519, 6000, 267, 3059, 3457, 267, 543, 2067, 2200, 267, 649, 2744, 4195, 5380, 593, 1272, 543, 2486, 780, 3383, 1985, 942, 596, 4497, 609, 4948, 3688, 610, 7747, 519, 1604, 267, 3314, 547, 5660, 519, 6946, 7544, 1063, 1480, 7919, 543, 2326, 269, 5808, 6487, 286, 9320, 707, 15513, 2013, 814, 930, 11580, 7996, 547, 581, 4362, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13970, 476, 4200, 476, 274, 11586, 454, 12626, 9664, 476, 26727, 476, 5729, 476, 1220, 273, 454, 288, 5576, 2794, 614, 1014, 2079, 540, 519, 1686, 540, 519, 681, 1446 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 568, 547, 2161, 454, 13295, 267, 585, 3236, 267, 952, 2073, 519, 4114, 574, 656, 1131, 581, 3144, 547, 581, 454, 514, 799, 2013, 649, 1131, 1491, 454, 763, 1599, 568, 10169, 2147, 547, 519, 6024, 17286, 6199, 521, 10079, 12035, 6594, 538, 11872, 476, 275, 267, 609, 519, 1292, 3017, 1373, 602, 649, 1705, 711, 4009, 519, 27708, 2040, 607, 649, 786, 711, 991, 547, 1491, 547, 581, 1875, 24308, 269, 1306, 1279, 607, 568, 711, 1932, 1804, 267, 835, 666, 946, 930, 521, 10079, 6438, 26398, 547, 12337, 7215, 899, 3833, 8308, 269, 634, 19406, 630, 276, 264, 666, 581, 20582, 676, 1210, 513, 8799, 7447, 540, 5096, 523, 1636, 602, 28837, 519, 22994, 3780, 15554, 528, 24655, 1145, 646, 22618, 689, 26929, 476, 275, 912, 684, 6134, 569, 585, 782, 1547, 634, 22466, 21635, 616, 23696, 563, 1607, 7447, 786, 581, 8810, 676, 24590, 883, 1079, 2665, 269, 769, 519, 968, 332, 1994, 9095, 892, 2013, 950, 568, 2673, 547, 513, 7787, 609, 1507, 630, 1993, 2450, 610, 865, 1070, 713, 7447, 786, 581, 513, 12343, 540, 519, 590, 20672, 601, 8862, 2788, 529, 345, 11532, 630, 689, 11872, 476, 273, 5148, 621, 568, 519, 3498, 540, 713, 11532, 602, 568, 3743, 585, 519, 23696, 21635, 269, 769, 519, 6967, 968, 2381, 528, 9095, 892, 2013, 267, 835, 23131, 676, 1210, 513, 2036, 13541, 658, 3961, 630, 7945, 607, 966, 2795, 534, 779, 3961, 264, 547, 2769, 519, 2040, 538, 2474, 540, 21536, 710, 541, 18304, 540, 519, 1106, 2073, 543, 946, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 543, 519, 5634, 9095, 2470, 540, 547, 3489, 513, 2744, 538, 713, 2013, 269, 901, 786, 782, 581, 2944, 2630, 519, 16784, 269, 1284, 786, 849, 946, 630, 320, 11826, 4528, 540, 264, 519, 19406, 630, 277, 264, 630, 528, 630, 278, 4297, 547, 3715, 15550, 690, 2784, 990, 779, 11532, 563, 1721, 930, 602, 568, 711, 1932, 1804, 3379, 547, 1547, 634, 2409, 1031, 547, 3715, 14497, 476, 279, 666, 849, 3715, 513, 22263, 19406, 602, 2306, 630, 279, 264, 5730, 267, 543, 799, 666, 6556, 606, 14595, 6169, 540, 15550, 690, 2784, 990, 779, 11532, 282, 713, 786, 581, 2944, 2630, 519, 16784, 563, 19865, 476, 280, 8058, 602, 519, 1318, 11804, 2427, 540, 630, 279, 264, 666, 581, 17370, 9287, 607, 454, 10190, 267, 1397, 519, 16526, 454, 663, 9959, 602, 454, 263, 295, 842, 281, 585, 519, 8545, 7447, 267, 946, 14497, 476, 2767, 540, 11872, 476, 272, 8094, 763, 14170, 538, 519, 1657, 3635, 616, 3833, 2147, 547, 5688, 2213, 17286, 6199, 521, 10079, 14170, 630, 5408, 8791, 476, 273, 540, 11872, 476, 275, 1916, 5194, 19406, 547, 2073, 1644, 547, 519, 9168, 595, 1090, 2946, 337, 4351, 2203, 630, 5408, 7844, 476, 1015, 540, 26929, 476, 275, 264, 568, 454, 1721, 607, 1657, 543, 2941, 31870, 547, 1547, 1452, 4114, 574, 725, 630, 29148, 569, 1644, 547, 513, 3926, 1634, 607, 519, 968, 268, 339, 4459, 14615, 616, 711, 607, 11050, 569, 4977, 607, 519, 3105, 4114, 574, 725, 267, 855, 666, 1869, 3411, 823, 547, 3715, 15550, 690, 2784, 990, 779, 11532, 267, 543, 849, 547, 1293, 1082, 824, 5276, 3270, 538, 519, 22136, 610, 29162, 540, 519, 22136, 630, 31860, 952, 835, 7630, 338, 930, 3606, 2645, 689, 19605, 2036, 13541, 923, 267, 543, 4481, 519, 11201, 28756, 675, 585, 519, 717, 10183, 7833, 640, 8155, 5148, 1294, 713, 1957, 540, 5484, 5682, 543, 8885, 585, 811, 4901, 630, 663, 713, 811, 2487, 1957, 540, 1744, 7776, 585, 606, 2079, 540, 713, 1935, 538, 519, 2796, 540, 15550, 690, 2784, 990, 15178, 5376, 916, 1040, 634, 1739, 3635, 20475, 519, 19406, 630, 280, 264, 538, 513, 1106, 2147, 547, 519, 3105, 19406, 630, 279, 2187, 19865, 476, 1015, 2060, 607, 1657, 267, 1397, 602, 454, 1721, 782, 2067, 2338, 4586, 1765, 476, 272, 269, 5890, 11228, 18304, 936, 22136, 281, 519, 5634, 9095, 2013, 2443, 454, 2171, 2253, 676, 3384, 930, 2241, 11826, 8320, 540, 519, 1739, 2489, 646, 22618, 6240, 630, 22396, 269, 8791, 476, 274, 540, 26929, 476, 275, 2187, 32459, 2118, 476, 1556, 630, 13420, 573, 626, 9084, 6240, 264, 1323, 12825, 2040, 630, 7945, 607, 513, 5276, 2040, 610, 513, 21536, 710, 541, 2040, 5473, 513, 968, 560, 19099, 892, 5123, 1599, 1058, 8858, 930, 1875, 2389, 337, 20190, 23545, 566, 267, 8259, 972, 568, 606, 968, 984, 2365, 892, 15821, 2601, 1946, 971, 23545, 566, 949, 711, 2049, 630, 324, 3052, 269, 568, 5111, 13350, 609, 1507, 1974, 267, 610, 5111, 1232, 537, 1255, 883, 513, 2040, 30155, 2467, 616, 930, 3833, 10427, 8747, 540, 713, 6240, 538, 519, 3332, 267, 971, 607, 13158, 1676, 779, 5376, 916, 593, 1226, 573, 626, 9084, 540, 796, 760, 582, 550, 8928, 267, 5941, 538, 713, 3105, 5816, 2022, 269, 1703, 616, 2943, 2417, 5730, 8320, 540, 713, 6240, 799, 616, 28756, 3293, 547, 581, 3020, 267, 855, 585, 799, 713, 3788, 796, 2889, 1597, 630, 324, 3052, 269, 3823, 18106, 1284, 559, 18304, 538, 13113, 4610, 1040, 3371, 267, 1498, 267, 649, 786, 1445, 1152, 593, 519, 14724, 19183, 540, 713, 6240, 267, 538, 799, 568, 513, 5276, 610, 21536, 710, 541, 5123, 269, 21004, 8747, 540, 713, 2027, 2013, 540, 519, 1657, 6240, 786, 581, 1360, 3730, 538, 21501, 12825, 18304, 971, 607, 454, 514, 968, 2381, 528, 9095, 892, 3871, 538, 799, 568, 711, 1932, 2673, 547, 513, 7787, 1297, 540, 1507, 14009, 269, 634, 6967, 968, 332, 1994, 9095, 892, 2013, 950, 568, 2673, 547, 971, 513, 7787, 1297, 814, 547, 581, 17411, 676, 519, 14911, 2409, 540, 3818, 2364, 894, 1297, 3069, 267, 799, 649, 2490, 547, 2663, 538, 713, 3296, 563, 2690, 24099, 4128, 649, 4927, 1020, 8747, 540, 713, 6240, 602, 616, 538, 15333, 27168, 1106, 267, 4358, 609, 513, 8367, 602, 513, 1713, 9186, 538, 606, 12825, 2040, 568, 1459, 267, 543, 4142, 24976, 15821, 2497, 607, 513, 12343, 269, 901, 5012, 547, 9193, 602, 616, 711, 4628, 6099, 689, 513, 11050, 21169, 267, 855, 594, 3494, 789, 2285, 513, 1434, 12007, 14745, 540, 519, 9259, 1373, 23699, 1934, 563, 2171, 2253, 609, 519, 14724, 3236, 540, 20232, 476, 1556, 267, 12077, 3823, 796, 7076, 539, 5276, 18304, 540, 5276, 11775, 912, 268, 630, 328, 264, 1403, 454, 10190, 2073, 1141, 18575, 519, 3845, 689, 630, 1415, 11347, 540, 264, 547, 519, 14282, 8870, 563, 268, 630, 4512, 264, 2859, 3622, 267, 952, 454, 1721, 930, 27865, 821, 1599, 2073, 1287, 4586, 27893, 281, 3245, 519, 12166, 3126, 4542, 649, 723, 454, 663, 519, 3409, 630, 328, 264, 5205, 269, 1677, 6961, 630, 4512, 1070, 649, 2328, 543, 7747, 689, 14805, 566, 676, 2694, 602, 454, 6112, 689, 27865, 4577, 640, 649, 723, 454, 663, 519, 3409, 1287, 5205, 689, 630, 328, 264, 543, 519, 25190, 517, 23346, 6240, 563, 3086, 649, 1847, 547, 21536, 710, 541, 18304, 269, 1284, 1101, 991, 606, 10026, 19790, 2742, 912, 528, 3116, 972, 568, 513, 2067, 1297, 971, 602, 454, 3080, 666, 3489, 10169, 5857, 704, 9193, 1934, 676, 1210, 519, 8106, 3069, 540, 4797, 8454, 543, 645, 2129, 337, 5036, 267, 607, 538, 713, 3105, 5816, 2022, 267, 855, 649, 786, 711, 991, 891, 13217, 906, 1934, 563, 27893, 281, 1284, 949, 8263, 602, 543, 2073, 2094, 649, 616, 2944, 6382, 269, 3973, 972, 616, 693, 2547, 1079, 609, 2073, 543, 676, 519, 25190, 517, 23346, 6240, 649, 666, 1265, 538, 609, 543, 1547, 1635, 519, 6906, 8635, 267, 649, 9959, 602, 972, 6818, 693, 2547, 835, 2067, 1297, 585, 799, 454, 2252, 1287, 649, 616, 2944, 267, 865, 15475, 602, 1547, 14597, 602, 616, 2609, 540, 971, 602, 543, 1547, 5675, 585, 930, 2073, 649, 723, 454, 3528, 8367, 267, 6902, 4063, 602, 607, 543, 649, 849, 723, 1547, 901, 10522, 602, 543, 3976, 1547, 1284, 1287, 723, 454, 2171, 9959, 602, 585, 6378, 609, 2073, 972, 616, 693, 1034, 2609, 540, 971, 602, 1547, 594, 614, 908, 713, 609, 513, 6067, 9037, 5690, 267, 649, 1294, 602, 519, 1297, 540, 609, 568, 693, 1034, 6902, 2094, 2073, 713, 10522, 602, 454, 663, 519, 3409, 5205, 563, 3086, 649, 666, 1852, 21536, 710, 541, 18304, 540, 519, 1106, 454, 268, 630, 328, 264, 630, 13911, 594, 7447, 264, 1403, 568, 1483, 29705, 4240, 543, 27865, 821, 543, 454, 6533, 2901, 2073, 610, 972, 6818, 971, 602, 4586, 268, 630, 4512, 264, 630, 13911, 4083, 7447, 264, 1403, 454, 6533, 2901, 2073, 610, 972, 6818, 971, 602, 4586, 763, 19165, 540, 630, 328, 264, 543, 630, 4512, 264, 1058, 581, 3379, 609, 519, 24735, 23451, 454, 541, 2358, 689, 519, 6906, 8635, 543, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 563, 27893, 281, 1284, 2253, 609, 630, 328, 1040, 1635, 519, 6906, 8635, 267, 649, 723, 454, 763, 14805, 663, 538, 568, 22112, 676, 1547, 1284, 9959, 602, 454, 1721, 693, 2547, 5079, 540, 630, 10472, 568, 15864, 547, 1294, 676, 19163, 676, 27171, 1040, 16792, 19748, 2742, 476, 1321, 23870, 1070, 649, 9959, 602, 454, 1721, 693, 2547, 5079, 540, 1547, 16792, 19748, 2742, 476, 1724, 267, 649, 9959, 602, 835, 540, 2073, 2073, 610, 972, 6818, 513, 2067, 1297, 971, 602, 1547, 901, 3947, 630, 328, 264, 4849, 950, 1547, 769, 713, 2013, 267, 649, 2132, 547, 630, 1321, 1070, 799, 6585, 585, 693, 2547, 835, 2067, 1297, 2073, 543, 1305, 4586, 3086, 649, 6961, 630, 4512, 1040, 1635, 519, 6906, 8635, 267, 649, 723, 454, 663, 8754, 676, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 454, 763, 2451, 11804, 2427, 21040, 607, 454, 5228, 519, 6906, 8635, 267, 519, 7447, 543, 15340, 649, 9959, 602, 454, 1721, 693, 2547, 835, 3903, 540, 1547, 674, 1460, 713, 1547, 4595, 2073, 649, 3976, 723, 454, 1721, 5079, 540, 1547, 16792, 19748, 2742, 476, 1321, 9217, 1070, 649, 9959, 602, 454, 1721, 5079, 540, 1547, 16792, 19748, 2742, 476, 1724, 267, 649, 3489, 519, 3409, 563, 763, 1739, 3635, 9727, 519, 8325, 1145, 540, 519, 1657, 11532, 267, 693, 2547, 609, 14621, 547, 519, 3808, 593, 4586, 19865, 476, 1428, 2913, 581, 513, 7787, 1297, 609, 2073, 1577, 2073, 543, 1577, 581, 23385, 540, 4586, 268, 630, 328, 264, 1403, 585, 513, 18481, 1507, 6207, 3586, 2073, 1397, 602, 4586, 268, 630, 4512, 264, 1403, 568, 1256, 267, 543, 585, 513, 18481, 1507, 6207, 3586, 2073, 1397, 602, 4586, 268, 630, 328, 264, 14597, 602, 585, 930, 8884, 540, 3259, 693, 1034, 1547, 8058, 602, 972, 6818, 513, 2067, 1297, 971, 602, 1547, 630, 295, 842, 281, 32366, 593, 543, 946, 519, 8709, 3541, 4856, 1584, 8635, 630, 3682, 6570, 476, 278, 540, 11872, 476, 276, 1916, 268, 630, 4512, 264, 14597, 602, 585, 930, 8884, 8659, 538, 1547, 8058, 602, 972, 6818, 513, 2067, 1297, 971, 602, 585, 782, 630, 16694, 713, 3409, 568, 24735, 585, 15426, 630, 295, 842, 281, 946, 1524, 2072, 15632, 593, 2073, 14577, 607, 835, 4422, 2059, 267, 543, 8237, 909, 883, 10169, 2110, 12980, 3356, 687, 540, 1585, 838, 659, 902, 538, 1931, 547, 2490, 519, 1283, 4110, 3334, 540, 883, 9247, 3586, 11775, 8094, 268, 630, 13839, 264, 2422, 891, 23451, 547, 2285, 606, 14595, 6169, 540, 11644, 476, 279, 540, 11872, 476, 276, 563, 19865, 476, 1704, 630, 23797, 5511, 17326, 7645, 1284, 2643, 12825, 2040, 9193, 264, 2913, 581, 513, 9971, 538, 4632, 609, 14170, 585, 930, 1547, 2913, 543, 1547, 14597, 602, 454, 17004, 602, 2901, 835, 814, 585, 930, 2073, 610, 3116, 972, 6818, 513, 2067, 1297, 971, 602, 585, 782, 1547, 630, 9616, 281, 713, 568, 513, 2864, 16602, 3635, 267, 543, 568, 1152, 5227, 585, 1053, 945, 723, 27058, 519, 7440, 2877, 547, 4194, 519, 835, 8820, 4528, 540, 713, 3635, 689, 11644, 476, 1626, 269, 589, 3070, 568, 2016, 538, 713, 5816, 2022, 8094, 13434, 718, 602, 538, 519, 6169, 540, 519, 25512, 1512, 328, 13305, 514, 690, 2784, 990, 11532, 630, 5408, 11872, 476, 274, 1070, 18304, 971, 607, 610, 941, 17411, 676, 1210, 2036, 13541, 658, 9163, 971, 607, 966, 2795, 534, 779, 3961, 547, 8237, 610, 883, 10659, 540, 7392, 594, 610, 7392, 4083, 5996, 30055, 269, 634, 1482, 4640, 666, 581, 4294, 1934, 912, 10190, 2901, 2073, 610, 972, 6818, 513, 2067, 1297, 971, 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 ]
[ 5073, 825, 575, 22182, 3488, 7069, 1655, 12972, 568, 281, 1412, 1341, 1412, 315, 333, 262, 1341, 1193, 30044, 10734, 652, 318, 7955, 264, 1341, 1412, 315, 333, 262, 1341, 1193, 4433, 272, 264, 1341, 1412, 315, 333, 5073, 825, 575, 22182, 3488, 7069, 1655, 6060, 568, 1412, 1341, 1193, 30044, 10734, 652, 23962, 264, 1341, 1412, 315, 333, 17210, 825, 2132, 7531, 3698, 1292, 263, 1173, 341, 2187, 825, 5727, 14611, 7127, 1448, 540, 519, 1982, 281, 14509, 3403, 6119, 267, 21410, 519, 1655, 6474, 267, 543, 11339, 621, 547, 3977, 3758, 20701, 825, 1948, 1403, 1079, 6119, 711, 3403, 1540, 593, 519, 4971, 1899, 454, 825, 952, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 274, 1384, 1038, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 273, 912, 2018, 1820, 2891, 8253, 2614, 6119, 269, 7490, 946, 476, 273, 3728, 320, 6119, 607, 7440, 23528, 2018, 2132, 476, 272, 692, 1038, 8640, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 272, 281, 476, 1948, 952, 1100, 7440, 2016, 267, 946, 9949, 6119, 454, 2018, 1820, 2891, 5591, 6119, 2016, 269, 4635, 9949, 3728, 320, 6119, 907, 23528, 2018, 3728, 2378, 850, 272, 815, 1930, 2891, 907, 270, 11907, 270, 2412, 278, 25248, 30444, 8807, 770, 320, 2580, 834, 337, 5602, 2018, 3728, 2378, 850, 273, 815, 1930, 2891, 907, 270, 11907, 270, 2412, 278, 25248, 31404, 8807, 770, 320, 2580, 834, 337, 15419, 1038, 3116, 281, 476, 1948, 3116, 952, 811, 982, 476, 274, 454, 2018, 1820, 2891, 32451, 1082, 6119, 269, 7490, 946, 476, 273, 3728, 320, 6119, 607, 7440, 23528, 2018, 2132, 476, 273, 692, 825, 3116, 281, 476, 1948, 952, 476, 273, 3403, 6119, 2016, 454, 1038, 3728, 2378, 850, 272, 815, 1930, 4433, 903, 27769, 341, 314, 272, 3910, 834, 337, 5602, 1038, 3728, 2378, 850, 273, 815, 1930, 4433, 903, 27769, 341, 314, 273, 3910, 834, 337, 15419, 825, 1948, 16259, 519, 3728, 320, 6119, 454, 825, 694, 336, 272, 815, 547, 23952, 6600, 770, 2378, 850, 272, 994, 825, 694, 336, 273, 815, 547, 23952, 6600, 770, 2378, 850, 273, 2020, 825, 1948, 14840, 5569, 318, 1873, 777, 547, 1265, 3476, 5311, 454, 825, 521, 272, 267, 521, 273, 267, 561, 272, 267, 561, 273, 815, 5569, 318, 1873, 777, 263, 572, 336, 272, 267, 694, 336, 273, 2020, 825, 1948, 14840, 1265, 10734, 652, 318, 7955, 547, 1265, 1655, 12972, 540, 9696, 454, 825, 1250, 10734, 652, 318, 7955, 267, 1250, 10734, 652, 23962, 815, 1265, 10734, 652, 318, 7955, 4433, 272, 267, 521, 273, 267, 561, 272, 267, 561, 273, 2020, 825, 1948, 19243, 3758, 454, 825, 3977, 18316, 6600, 770, 2378, 850, 272, 267, 3728, 2378, 850, 273, 267, 1250, 10734, 652, 318, 7955, 267, 1250, 10734, 652, 23962, 267, 521, 272, 2020, 825, 2132, 476, 271, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4567, 815, 1292, 4433, 903, 27769, 341, 994, 825, 19523, 20216, 527, 263, 560, 9850, 9239, 0, 18851, 17787, 5288, 269, 1592, 2649, 687, 281, 799, 568, 5488, 286, 20701, 527, 619, 815, 476, 1911, 1822, 271, 454, 5814, 942, 527, 454, 5228, 9043, 1889, 1104, 1250, 5334, 638, 4100, 607, 1250, 5334, 638, 4100, 318, 5979, 3591, 454, 5228, 9043, 1889, 273, 1104, 1250, 5334, 638, 4100, 607, 1250, 5334, 638, 4100, 9078, 322, 7531, 18851, 5979, 3591, 5288, 269, 6443, 1505, 585, 12673, 281, 799, 568, 5488, 286, 29185, 3240, 11415, 815, 834, 7069, 5569, 4840, 5228, 9043, 1889, 1104, 1250, 19553, 7765, 607, 1250, 19553, 7765, 19553, 7765, 454, 5228, 9043, 1889, 273, 1104, 1250, 19553, 7765, 607, 1250, 19553, 7765, 7531, 258, 4939, 5503, 527, 1250, 5334, 638, 4100, 318, 5979, 3591, 263, 527, 619, 994, 258, 4939, 5503, 527, 1250, 5334, 638, 4100, 263, 527, 619, 994, 258, 4939, 5503, 527, 1250, 19553, 7765, 19553, 7765, 263, 527, 619, 267, 1250, 11415, 994, 258, 4939, 5503, 527, 1250, 19553, 7765, 263, 527, 619, 267, 1250, 11415, 9239, 5814, 942, 454, 11034, 815, 942, 28333, 4590, 3240, 5334, 638, 4100, 318, 5979, 3591, 263, 527, 619, 994, 2745, 2891, 3240, 5334, 638, 4100, 318, 5979, 3591, 3217, 4939, 325, 521, 547, 2196, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 11723, 11034, 815, 942, 28333, 4590, 3240, 5334, 638, 4100, 9078, 322, 263, 527, 619, 994, 2745, 2891, 3240, 5334, 638, 4100, 9078, 322, 3217, 4939, 325, 521, 547, 2196, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 11723, 0, 258, 292, 30533, 320, 796, 1982, 320, 6446, 1151, 545, 924, 19448, 18085, 21059, 632, 546, 6403, 553, 586, 561, 826, 2998, 18665, 652, 516, 24140, 5451, 660, 553, 3520, 553, 267, 3097, 258, 1295, 583, 657, 586, 5302, 1495, 657, 18720, 679, 1965, 320, 18085, 21059, 632, 546, 6403, 553, 563, 2745, 2891, 290, 3201, 290, 308, 6369, 700, 3008, 670, 3036, 3008, 267, 300, 2562, 7473, 5308, 962, 590, 9680, 26685, 5308, 16692, 700, 5308, 14192, 3008, 1422, 333, 20594, 20594, 20594, 5602, 323, 5362, 815, 703, 9272, 2891, 28808, 25564, 1714, 1003, 3266, 632, 1019, 553, 281, 27363, 1817, 553, 815, 1019, 553, 2608, 476, 2190, 454, 2381, 583, 657, 815, 3520, 553, 2608, 476, 2568, 454, 572, 326, 1495, 657, 815, 1295, 583, 657, 2608, 476, 2568, 692, 2745, 2891, 5319, 834, 1341, 1193, 5560, 5362, 264, 1341, 834, 546, 807, 4433, 264, 18720, 834, 1341, 1193, 263, 1817, 553, 264, 1341, 834, 3520, 553, 267, 834, 1341, 1193, 263, 2381, 583, 657, 264, 1341, 834, 1295, 583, 657, 586, 834, 1341, 1193, 263, 572, 326, 1495, 657, 264, 1341, 834, 5302, 1495, 657, 5602, 0, 258, 303, 6403, 23014, 620, 721, 340, 9222, 6446, 3824, 516, 572, 647, 9930, 3691, 586, 561, 826, 2998, 18665, 652, 516, 3288, 1279, 2595, 632, 647, 9930, 3691, 563, 333, 558, 3691, 815, 3403, 2891, 28808, 25564, 8913, 9930, 3691, 281, 5602, 2745, 2891, 17442, 1279, 2595, 632, 8913, 9930, 3691, 1965, 281, 257, 266, 1598, 12759, 3799, 558, 3691, 21875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 825, 2097, 9809, 18372, 1003, 546, 5964, 562, 14243, 1067, 334, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 454, 825, 8173, 825, 12301, 19502, 6262, 1228, 807, 6831, 3326, 28739, 3799, 4917, 825, 12301, 20481, 10797, 3698, 32171, 318, 1706, 720, 332, 3799, 2187, 825, 5727, 302, 6584, 2939, 334, 13005, 524, 1228, 807, 632, 7502, 28739, 16948, 19804, 546, 5964, 562, 14243, 1067, 334, 692, 825, 1488, 7714, 912, 1038, 1535, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 692, 825, 16849, 912, 1038, 703, 281, 744, 6584, 2939, 334, 13005, 524, 1228, 807, 454, 825, 8173, 825, 2132, 7003, 6262, 1228, 807, 6831, 3326, 28739, 3799, 11723, 3698, 911, 8364, 318, 1706, 720, 332, 3799, 2187, 825, 5727, 308, 332, 27008, 320, 635, 15259, 1661, 1842, 632, 1612, 720, 332, 546, 553, 3524, 17845, 333, 857, 553, 632, 7502, 28739, 454, 825, 693, 2946, 19804, 546, 5964, 562, 14243, 1067, 334, 269, 28769, 32171, 632, 1612, 720, 332, 1303, 29868, 5498, 522, 6584, 2939, 334, 13005, 454, 825, 3524, 17845, 333, 25556, 693, 2946, 693, 532, 597, 522, 562, 14243, 1067, 334, 476, 272, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 1929, 924, 454, 825, 8173, 825, 1661, 1842, 815, 1592, 9852, 777, 6025, 11391, 334, 318, 1706, 720, 332, 267, 2039, 263, 272, 267, 562, 1341, 476, 272, 21875, 825, 5049, 815, 476, 1911, 454, 825, 12301, 269, 7290, 6025, 655, 1842, 267, 5049, 994, 825, 12301, 26644, 3488, 307, 655, 1842, 547, 3279, 529, 632, 1612, 720, 332, 16948, 562, 14243, 1067, 657, 1303, 516, 476, 272, 552, 1412, 1341, 1193, 3799, 4917, 825, 12301, 11859, 16932, 3488, 307, 11391, 334, 632, 1612, 720, 332, 5073, 825, 12301, 269, 29786, 3488, 293, 7528, 17845, 333, 25556, 5073, 825, 12301, 20481, 10797, 258, 911, 8364, 6831, 3326, 28739, 263, 1911, 271, 994, 258, 911, 8364, 6831, 3326, 28739, 263, 1911, 272, 2020, 3698, 911, 8364, 318, 1260, 26174, 263, 867, 523, 27885, 2187, 825, 5727, 9199, 9809, 541, 19804, 1989, 5451, 325, 4815, 16948, 579, 2742, 546, 3385, 30458, 632, 3921, 523, 27885, 563, 825, 27539, 5498, 6446, 513, 705, 322, 1170, 553, 2097, 9809, 600, 900, 4642, 269, 7442, 6974, 320, 512, 3711, 2946, 332, 522, 533, 15193, 454, 825, 593, 1372, 522, 1989, 5451, 325, 4815, 693, 16636, 522, 27089, 544, 5451, 343, 24982, 780, 825, 1488, 7714, 912, 1038, 3921, 523, 27885, 630, 4289, 314, 15893, 316, 2567, 1306, 3921, 523, 27885, 798, 1989, 5451, 325, 4815, 454, 825, 8173, 825, 12301, 19502, 263, 867, 523, 27885, 994, 825, 3193, 344, 815, 3193, 263, 867, 523, 27885, 994, 825, 3193, 343, 815, 3921, 523, 27885, 28827, 9852, 25404, 994, 825, 12301, 269, 534, 2254, 622, 3488, 3488, 1341, 1193, 32384, 343, 264, 1341, 22207, 1412, 1341, 1193, 9852, 25404, 264, 1341, 1412, 264, 22779, 4449, 567, 27976, 815, 630, 10946, 343, 267, 3193, 344, 13211, 4449, 567, 27976, 3667, 815, 630, 10946, 343, 2608, 476, 272, 269, 272, 267, 3193, 344, 2608, 476, 272, 269, 272, 13211, 4449, 567, 15561, 2889, 1186, 815, 27835, 3333, 8667, 9166, 476, 271, 269, 4962, 267, 1412, 2183, 10233, 9166, 1412, 18872, 262, 348, 994, 825, 12301, 20481, 10797, 258, 911, 8364, 318, 1260, 26174, 6262, 1228, 807, 6831, 3326, 28739, 263, 1911, 4905, 264, 9239, 258, 476, 274, 9041, 1530, 529, 1989, 5451, 325, 545, 657, 14255, 8544, 2742, 4453, 3120, 692, 3698, 3586, 324, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 9041, 281, 476, 1015, 267, 5276, 3799, 4297, 2020, 3698, 2845, 541, 527, 332, 3821, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 2979, 28802, 3287, 1070, 5276, 3799, 4297, 2020, 3698, 5276, 3799, 2187, 825, 2132, 1592, 263, 9792, 263, 272, 267, 562, 1341, 476, 272, 11723, 3698, 2845, 318, 15035, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 2979, 28802, 3287, 1070, 5276, 3799, 4297, 2020, 3698, 13392, 320, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 476, 273, 267, 5276, 3799, 4297, 2020, 3698, 1163, 517, 523, 1017, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 1262, 273, 267, 5276, 3799, 4297, 2020, 3698, 694, 529, 318, 6996, 2742, 3799, 2187, 825, 5727, 5353, 529, 1989, 5451, 325, 545, 657, 632, 694, 529, 1187, 9809, 383, 369, 525, 635, 12584, 14255, 1286, 1461, 21289, 23843, 13005, 1950, 573, 1228, 454, 825, 1028, 842, 6759, 339, 3821, 632, 1187, 9809, 383, 369, 525, 269, 14642, 1989, 5451, 325, 545, 657, 3284, 732, 576, 332, 547, 323, 657, 14255, 8544, 2742, 4453, 3120, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 27089, 1929, 924, 16948, 524, 3385, 1989, 5451, 325, 4815, 563, 825, 8173, 825, 12301, 19502, 263, 6247, 14397, 3799, 1070, 567, 2681, 8782, 332, 26047, 320, 3299, 13274, 5598, 8782, 268, 5073, 825, 12301, 19502, 263, 8421, 541, 527, 332, 3821, 3799, 1070, 2681, 8782, 1097, 534, 3299, 13274, 5598, 8782, 281, 5073, 825, 12301, 19502, 263, 15035, 3799, 1070, 8587, 2681, 8782, 19990, 3299, 476, 13274, 5598, 8782, 268, 269, 5073, 825, 12301, 19502, 263, 8421, 318, 15035, 3799, 1070, 476, 2681, 8782, 1042, 3299, 567, 13274, 5598, 8782, 734, 5073, 825, 12301, 19502, 263, 638, 7310, 1738, 320, 3799, 1070, 476, 2681, 8782, 13582, 3299, 13274, 5598, 8782, 281, 5073, 825, 12301, 19502, 263, 10339, 517, 523, 1017, 3799, 1070, 2681, 8782, 18872, 3299, 476, 13274, 5598, 8782, 268, 269, 5073, 825, 12301, 20481, 30800, 258, 476, 275, 9041, 476, 277, 1178, 325, 545, 657, 900, 476, 277, 19562, 553, 692, 3698, 694, 529, 5334, 889, 7120, 3799, 2187, 825, 5727, 5353, 529, 1989, 5451, 325, 545, 657, 632, 694, 529, 1187, 9809, 383, 369, 525, 635, 12584, 14255, 1286, 1461, 21289, 23843, 13005, 1950, 573, 1228, 454, 825, 1028, 842, 6759, 339, 3821, 632, 1187, 9809, 383, 369, 525, 269, 14642, 1989, 5451, 325, 545, 657, 3284, 732, 576, 332, 900, 19562, 553, 546, 604, 5166, 525, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 705, 322, 20811, 1929, 924, 16948, 524, 3385, 19804, 13121, 1989, 5451, 325, 545, 657, 454, 825, 8173, 825, 1178, 325, 545, 657, 815, 1496, 6247, 14397, 3799, 1070, 2845, 541, 527, 332, 3821, 3799, 1070, 5276, 18692, 1038, 562, 1070, 2845, 318, 15035, 3799, 1070, 13392, 320, 3799, 1070, 1163, 517, 523, 1017, 3799, 22708, 825, 5707, 592, 657, 815, 18358, 6247, 14397, 3299, 1412, 8421, 3299, 1412, 15035, 3299, 1412, 8421, 2000, 514, 3299, 1412, 15153, 3299, 1412, 10339, 23300, 825, 585, 562, 538, 2039, 12759, 263, 6588, 325, 545, 657, 15892, 1038, 12301, 16553, 7120, 263, 273, 267, 476, 274, 267, 562, 1341, 476, 272, 264, 476, 1948, 13274, 13757, 267, 897, 684, 553, 267, 562, 14243, 1067, 334, 798, 1989, 5451, 325, 4815, 454, 1038, 12301, 19502, 263, 6588, 325, 545, 657, 19559, 7481, 1038, 12301, 26644, 6025, 527, 592, 657, 19559, 7481, 825, 12301, 20481, 30800, 258, 476, 276, 9041, 3400, 325, 4815, 536, 1551, 553, 635, 711, 553, 476, 272, 334, 606, 334, 700, 2316, 692, 3698, 536, 1551, 553, 318, 2254, 553, 10031, 825, 5727, 308, 332, 1989, 5451, 325, 4815, 632, 536, 1551, 553, 16948, 607, 711, 553, 546, 553, 5676, 21590, 798, 6305, 10098, 454, 825, 606, 334, 632, 19804, 620, 684, 334, 563, 825, 8173, 825, 3921, 523, 27885, 815, 1496, 1321, 267, 476, 1691, 267, 476, 1428, 267, 476, 866, 267, 476, 1691, 267, 476, 1704, 267, 476, 1015, 267, 476, 736, 267, 476, 1691, 2639, 825, 705, 322, 1170, 553, 815, 2039, 12759, 263, 867, 523, 27885, 4917, 825, 1696, 1172, 564, 553, 815, 18358, 3722, 3299, 1412, 4932, 272, 3299, 1412, 11520, 307, 3299, 1412, 303, 272, 3299, 1412, 4932, 273, 3299, 1412, 7709, 292, 3299, 1412, 3951, 310, 3299, 1412, 303, 273, 3299, 1412, 13612, 23300, 825, 12301, 26644, 3488, 8253, 553, 6305, 10098, 606, 334, 5073, 825, 2434, 3120, 815, 476, 271, 269, 279, 454, 825, 12301, 269, 8663, 263, 29582, 1170, 553, 267, 3921, 523, 27885, 267, 2434, 3120, 267, 2681, 815, 1412, 13582, 5073, 825, 12301, 269, 868, 6506, 263, 29582, 1170, 553, 267, 1696, 1172, 564, 553, 264, 1948, 1306, 1696, 1172, 564, 553, 535, 545, 600, 620, 514, 17495, 553, 635, 522, 538, 545, 1470, 13005, 3046, 571, 454, 258, 825, 28894, 629, 269, 868, 6506, 9852, 777, 10857, 10033, 1535, 281, 1535, 1341, 2434, 3120, 1315, 476, 273, 269, 271, 267, 705, 322, 1170, 553, 1070, 1696, 1172, 564, 553, 264, 1948, 1306, 1696, 1172, 564, 553, 535, 545, 600, 620, 514, 17495, 553, 635, 522, 1298, 549, 13005, 3046, 571, 454, 825, 12301, 20481, 30800, 258, 476, 277, 9041, 10439, 21289, 23843, 632, 1217, 320, 23843, 733, 5866, 900, 535, 7865, 328, 4592, 11483, 309, 692, 3698, 561, 518, 32269, 5091, 20601, 9222, 3799, 727, 6958, 7865, 10098, 267, 9348, 1815, 531, 14833, 22561, 2187, 825, 5727, 299, 518, 19804, 535, 7865, 10098, 11483, 309, 269, 744, 535, 7865, 10098, 533, 1712, 522, 340, 562, 14244, 1768, 9348, 324, 9809, 531, 14833, 780, 825, 1488, 7714, 912, 1038, 562, 727, 6958, 7865, 10098, 630, 1598, 2567, 744, 562, 727, 798, 535, 7865, 10098, 454, 1038, 2361, 12849, 630, 4289, 314, 1598, 3910, 18593, 2567, 476, 589, 30458, 635, 522, 562, 2345, 546, 553, 897, 684, 553, 563, 2018, 13139, 714, 541, 844, 18372, 522, 535, 7865, 10098, 562, 14244, 512, 1853, 9348, 324, 9809, 531, 14833, 269, 4347, 5435, 338, 547, 7183, 780, 825, 16849, 912, 1038, 1592, 314, 18743, 13912, 772, 2742, 30458, 632, 546, 20601, 926, 657, 635, 522, 733, 324, 14243, 4777, 798, 535, 7865, 10098, 3248, 2018, 607, 669, 2314, 798, 546, 20601, 5451, 26369, 521, 14244, 19984, 553, 13005, 6305, 4275, 13274, 3873, 798, 535, 7865, 10098, 454, 2018, 522, 340, 27764, 2784, 553, 13005, 30458, 9348, 324, 9809, 531, 14833, 563, 825, 8173, 825, 609, 1930, 3799, 727, 6958, 7865, 10098, 264, 607, 535, 7865, 10098, 32269, 912, 1038, 682, 3218, 815, 26417, 6185, 1112, 5649, 518, 6600, 7865, 10098, 32269, 267, 2361, 12849, 284, 322, 629, 1815, 531, 14833, 994, 1038, 2132, 1592, 263, 548, 3218, 2020, 3698, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 267, 897, 10044, 2187, 825, 5727, 308, 2742, 30458, 13121, 6083, 1846, 5330, 550, 525, 20221, 338, 12673, 632, 579, 2742, 897, 10044, 1003, 320, 512, 8475, 320, 780, 825, 1488, 7714, 912, 1038, 512, 8475, 320, 630, 3438, 314, 18743, 316, 2567, 589, 512, 8475, 320, 454, 1038, 897, 10044, 630, 1598, 2567, 744, 562, 727, 13005, 897, 10044, 692, 825, 16849, 912, 1038, 1592, 314, 15615, 13912, 589, 30458, 632, 10581, 454, 825, 8173, 825, 2132, 1592, 9852, 777, 10857, 10033, 13274, 3873, 281, 10581, 263, 4802, 3873, 314, 3712, 10044, 25818, 512, 8475, 320, 11723, 3698, 521, 1143, 657, 5332, 334, 8548, 23981, 10031, 825, 5727, 308, 332, 4786, 320, 635, 15259, 521, 1143, 657, 3284, 6974, 15606, 11188, 533, 2632, 657, 865, 3691, 19804, 1544, 529, 325, 2946, 26369, 563, 825, 589, 1351, 2512, 320, 513, 9588, 798, 521, 1143, 334, 563, 825, 3400, 9366, 522, 4786, 320, 1003, 535, 747, 10098, 635, 522, 562, 727, 1412, 338, 1143, 657, 26666, 23823, 825, 8173, 825, 512, 8475, 320, 815, 561, 518, 32269, 5091, 20601, 9222, 3488, 718, 318, 24629, 27406, 5073, 825, 512, 8475, 320, 318, 3916, 11985, 815, 1592, 6600, 559, 614, 18692, 1038, 25754, 13274, 3873, 281, 13274, 3873, 9131, 26245, 3363, 11172, 11203, 15234, 543, 13274, 3873, 9131, 14075, 3363, 11172, 11203, 15234, 543, 13274, 3873, 9131, 332, 698, 11172, 11203, 1412, 3299, 512, 8475, 320, 4917, 825, 1279, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 14075, 3363, 5073, 825, 4234, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 26245, 3363, 5073, 825, 3172, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 332, 698, 5073, 825, 12301, 31892, 2660, 10857, 784, 6421, 267, 4234, 6421 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 278, 267, 476, 278, 3910, 476, 1691, 994, 0, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 8789, 19340, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1019, 815, 910, 272, 454, 1038, 4102, 815, 476, 271, 454, 1038, 1869, 15927, 815, 476, 271, 454, 1038, 585, 1775, 267, 1003, 538, 26246, 25225, 2187, 2018, 952, 1003, 3436, 4102, 912, 3546, 1019, 815, 1775, 454, 3546, 1869, 15927, 815, 4102, 454, 3546, 4102, 815, 1003, 454, 2018, 8640, 1003, 3436, 1869, 15927, 912, 3546, 1869, 15927, 815, 1003, 454, 1038, 952, 4102, 13843, 1869, 15927, 2608, 476, 273, 912, 2018, 2132, 1019, 454, 1038, 2132, 910, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 271, 267, 271, 267, 274, 267, 273, 28413, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 274, 267, 476, 277, 267, 476, 272, 267, 476, 271, 28413, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 274, 267, 476, 277, 267, 476, 272, 267, 476, 271, 8079, 2652, 476, 272, 994, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 8079, 2652, 910, 272, 994, 0, 2745, 2891, 307, 655, 704, 520, 3120, 1642, 605, 806, 11456, 14826, 14826, 4840, 8587, 834, 307, 523, 655, 657, 796, 9300, 632, 2191, 520, 3120, 679, 1714, 605, 806, 11456, 1642, 1425, 573, 528, 632, 8356, 652, 571, 3227, 25564, 269, 1422, 333, 4840, 8587, 834, 5226, 699, 21573, 1387, 714, 541, 17485, 3611, 657, 605, 1602, 322, 542, 15606, 16948, 1999, 14373, 1422, 333, 4840, 8587, 834, 19561, 3181, 655, 657, 524, 3711, 3511, 1714, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 11188, 796, 334, 803, 329, 528, 269, 1422, 333, 4840, 8587, 834, 19324, 1942, 657, 334, 586, 635, 334, 1387, 16695, 632, 3611, 657, 1100, 10540, 655, 657, 547, 3405, 3375, 525, 5609, 19448, 3490, 26142, 333, 4840, 8587, 834, 3682, 1602, 322, 542, 32115, 15255, 2191, 4405, 553, 1199, 573, 553, 513, 3138, 2434, 334, 632, 15255, 476, 2190, 3520, 553, 1642, 546, 17144, 1422, 333, 4840, 8587, 834, 523, 19448, 1609, 1192, 3120, 632, 3611, 657, 632, 9133, 334, 30458, 735, 340, 652, 320, 11188, 476, 2190, 4283, 657, 24097, 333, 4840, 8587, 834, 339, 655, 704, 4405, 553, 318, 290, 815, 1496, 3451, 267, 5780, 267, 4792, 267, 271, 267, 6795, 267, 2568, 267, 7830, 267, 5038, 267, 3583, 267, 10602, 267, 3199, 267, 7597, 267, 3199, 267, 10695, 267, 6924, 267, 10170, 267, 8287, 267, 7871, 267, 2004, 267, 5392, 267, 7871, 267, 4366, 267, 3393, 267, 4375, 9948, 315, 333, 15419, 5814, 21267, 28272, 607, 12301, 692, 258, 299, 553, 1989, 5451, 325, 545, 553, 513, 2181, 1356, 534, 3678, 5451, 6776, 3512, 324, 1651, 6412, 27885, 679, 1714, 21641, 454, 258, 260, 3901, 15003, 538, 1467, 692, 258, 4347, 514, 597, 17485, 3611, 657, 552, 16660, 1535, 267, 552, 16660, 586, 454, 339, 655, 704, 4405, 553, 318, 290, 815, 1496, 3451, 267, 5780, 267, 4792, 267, 271, 267, 6795, 267, 2568, 267, 7830, 267, 5038, 267, 3583, 267, 10602, 267, 3199, 267, 10037, 267, 3199, 267, 10695, 267, 3445, 267, 8064, 267, 8618, 267, 7871, 267, 2004, 267, 5392, 267, 7871, 267, 4366, 267, 3393, 267, 4375, 2639, 1817, 553, 815, 1592, 263, 9792, 12759, 6025, 655, 704, 4405, 553, 318, 290, 4297, 2020, 258, 1989, 5451, 325, 4815, 454, 258, 4762, 580, 584, 541, 15255, 1286, 1461, 2065, 553, 1642, 1178, 325, 4815, 454, 10823, 19502, 263, 1817, 553, 267, 2191, 4405, 553, 318, 290, 267, 6003, 815, 834, 307, 655, 704, 520, 3120, 2580, 1899, 12296, 815, 476, 275, 267, 2681, 815, 834, 13582, 5602, 10823, 269, 1314, 327, 1467, 12169, 284, 3583, 267, 1899, 12296, 284, 272, 267, 2681, 8782, 337, 5073, 258, 9377, 514, 597, 562, 4861, 637, 632, 552, 329, 525, 586, 5707, 25222, 454, 10823, 11859, 16932, 3488, 1817, 553, 5073, 10823, 269, 29786, 3488, 307, 655, 704, 520, 3120, 2485, 374, 290, 5073, 10823, 26644, 3488, 307, 655, 704, 4405, 553, 632, 8356, 652, 549, 1425, 573, 528, 513, 3138, 2434, 334, 1642, 546, 17144, 5073, 258, 7197, 32057, 682, 344, 12629, 267, 24140, 611, 878, 3121, 586, 4453, 3120, 454, 10823, 269, 5586, 754, 4590, 10823, 269, 2381, 677, 6506, 318, 517, 4590, 10823, 26942, 6357, 18989, 267, 799, 8782, 332, 1994, 3299, 2681, 8782, 258, 26116, 26116, 3299, 13274, 5598, 8782, 268, 5073, 10823, 26942, 6357, 18989, 267, 799, 8782, 2381, 528, 3299, 2681, 8782, 18872, 3299, 13274, 5598, 8782, 268, 3299, 13672, 284, 271, 269, 273, 994, 10823, 20481, 10797, 2745, 2891, 3682, 1076, 2742, 14826, 4840, 8587, 834, 31333, 1714, 9300, 3713, 320, 544, 27222, 632, 476, 275, 3520, 553, 598, 2191, 4405, 553, 2706, 1470, 637, 522, 28075, 783, 525, 513, 476, 3583, 23263, 290, 1422, 333, 4840, 8587, 834, 334, 524, 783, 638, 1512, 2191, 520, 3120, 9120, 513, 476, 3199, 23263, 290, 522, 1714, 1596, 539, 1470, 2706, 320, 17485, 476, 4792, 23263, 290, 1422, 333, 4840, 8587, 834, 323, 584, 14397, 547, 4777, 1714, 546, 17144, 267, 3181, 655, 657, 3921, 523, 541, 1714, 524, 3711, 1470, 1642, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 1422, 333, 4840, 8587, 834, 1706, 320, 859, 10560, 13005, 10722, 541, 1714, 605, 806, 11456, 26142, 333, 4840, 8587, 834, 299, 334, 1368, 328, 732, 21573, 32488, 334, 513, 32488, 334, 16948, 6446, 533, 4240, 320, 547, 3405, 3288, 20068, 18059, 1422, 333, 4840, 8587, 834, 20412, 18372, 3473, 684, 657, 32488, 657, 10827, 657, 24097, 333, 15419, 2745, 2891, 17442, 31301, 520, 3120, 544, 27713, 9874, 6446, 694, 7373, 549, 1965, 815, 2580, 1295, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 2891, 17442, 31301, 520, 3120, 3193, 9874, 6446, 694, 7373, 549, 1965, 815, 2580, 3193, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 2891, 299, 553, 31301, 4405, 553, 28075, 783, 525, 522, 2706, 1470, 637, 513, 476, 3583, 23263, 290, 5067, 281, 5602, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 952, 476, 3583, 10922, 512, 912, 2018, 1820, 6025, 2020, 2745, 2891, 17442, 2191, 520, 3120, 2923, 513, 3138, 2434, 334, 1642, 546, 17144, 815, 2580, 2040, 6025, 655, 704, 4405, 553, 318, 290, 8358, 6352, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 19629, 333, 31333, 13398, 1512, 320, 19448, 2887, 320, 679, 1714, 9300, 513, 15255, 476, 6734, 281, 876, 586, 1100, 3061, 584, 5451, 1090, 657, 17485, 3611, 657, 267, 1422, 333, 4840, 8587, 834, 382, 379, 322, 6759, 15879, 3934, 541, 17144, 1714, 27089, 6446, 562, 657, 23881, 3279, 286, 1422, 333, 4840, 8587, 834, 17357, 2958, 597, 1965, 324, 27089, 679, 3288, 30458, 632, 2191, 4405, 553, 1701, 2020, 559, 284, 9230, 263, 339, 655, 704, 4405, 553, 318, 290, 314, 275, 316, 268, 339, 655, 704, 4405, 553, 318, 290, 314, 273, 8079, 14370, 1817, 553, 314, 275, 316, 268, 1817, 553, 314, 273, 316, 4297, 16732, 1817, 553, 314, 274, 316, 268, 1817, 553, 314, 273, 316, 4297, 266, 339, 655, 704, 4405, 553, 318, 290, 314, 273, 2639, 339, 655, 704, 4405, 553, 318, 290, 314, 274, 24557, 559, 454, 2745, 2891, 302, 24189, 18372, 1714, 1558, 29081, 632, 11410, 565, 30685, 1899, 531, 282, 1714, 27089, 1642, 9300, 513, 15255, 476, 274, 281, 876, 1422, 333, 4840, 8587, 834, 1372, 828, 807, 1583, 815, 14307, 24924, 267, 834, 4113, 322, 5602, 2745, 2891, 8266, 320, 632, 2191, 4405, 553, 2323, 326, 5866, 14826, 295, 23768, 29146, 307, 655, 704, 4405, 553, 11019, 322, 5602, 1721, 554, 538, 3520, 553, 912, 8587, 1820, 263, 1817, 553, 314, 327, 316, 2437, 281, 476, 876, 29146, 29146, 2580, 2191, 4405, 553, 318, 290, 314, 327, 20285, 2745, 2891, 289, 517, 881, 24265, 281, 8356, 652, 549, 2123, 632, 16051, 523, 574, 1304, 334, 1965, 632, 17485, 6480, 15606, 1133, 573, 657, 1422, 333, 4840, 8587, 834, 344, 1100, 2440, 526, 324, 1714, 521, 626, 9047, 544, 18863, 878, 334, 2028, 659, 1308, 269, 1422, 333, 4840, 8587, 834, 303, 553, 541, 15255, 2191, 4405, 553, 513, 5552, 657, 18278, 26142, 333, 4840, 8587, 834, 293, 6759, 3944, 3121, 281, 674, 815, 476, 272, 269, 279, 2608, 595, 1341, 476, 3953, 14826, 4840, 8587, 834, 19986, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 3519, 11437, 15058, 318, 28493, 15058, 4671, 17687, 14826, 5602, 3698, 7503, 630, 339, 655, 2187, 8587, 1661, 815, 630, 339, 655, 265, 280, 270, 276, 11924, 3953, 454, 8587, 2132, 1661, 454, 339, 655, 704, 4405, 553, 6958, 17342, 2639, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 2191, 4405, 553, 6958, 6910, 263, 935, 11437, 6025, 4917, 2745, 2891, 8266, 320, 632, 2191, 4405, 553, 6460, 573, 553, 513, 5552, 657, 18278, 14826, 4840, 8587, 834, 295, 23768, 29146, 307, 655, 704, 4405, 553, 11019, 293, 5602, 1721, 554, 538, 3520, 553, 912, 8587, 1820, 263, 1817, 553, 314, 327, 316, 2437, 281, 476, 876, 29146, 29146, 2580, 2191, 4405, 553, 6958, 314, 327, 20285, 2745, 19629, 333, 307, 5448, 3288, 3375, 14826, 4840, 8587, 834, 13434, 21838, 1372, 6446, 23313, 1714, 9300, 3713, 320, 1422, 333, 4840, 8587, 834, 332, 27222, 632, 476, 275, 3520, 553, 598, 2191, 4405, 553, 2706, 1470, 637, 522, 28075, 783, 525, 513, 476, 3583, 23263, 290, 522, 1422, 333, 4840, 8587, 834, 322, 783, 638, 1512, 2191, 520, 3120, 9120, 513, 476, 3199, 23263, 290, 522, 1422, 333, 4840, 8587, 834, 601, 1596, 539, 1470, 535, 826, 9120, 513, 476, 4792, 23263, 290, 513, 3138, 2434, 334, 1642, 546, 17144, 267, 1422, 333, 4840, 8587, 834, 1372, 321, 655, 657, 29593, 3288, 3921, 523, 632, 524, 3711, 3511, 1714, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 1422, 333, 4840, 8587, 834, 1706, 320, 859, 10560, 1714, 10652, 580, 549, 632, 13005, 10722, 541, 1714, 16491, 334, 14826, 5602, 328, 284, 271, 454, 332, 4215, 6831, 284, 8999, 6025, 655, 704, 4405, 553, 318, 290, 8358, 6352, 6025, 655, 704, 4405, 553, 318, 290, 994, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 952, 630, 4792, 2999, 2923, 6831, 2187, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 8587, 952, 630, 3199, 283, 339, 2187, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 8587, 952, 476, 3583, 27045, 339, 912, 16875, 1775, 6834, 476, 272, 454, 8587, 952, 476, 275, 2999, 1775, 912, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 2745, 19629, 333, 9288, 329, 23768, 13777, 32136, 14826, 15419, 2745, 2891, 5226, 699, 21573, 15255, 3520, 553, 630, 7224, 15255, 2191, 4405, 553, 264, 24140, 5984, 2191, 520, 3120, 2706, 334, 17485, 476, 3583, 23263, 290, 14826, 4840, 8587, 834, 935, 3288, 7873, 545, 18059, 632, 6446, 1965, 553, 3520, 553, 5067, 544, 27222, 632, 476, 275, 586, 13394, 583, 643, 553, 267, 1422, 333, 4840, 8587, 834, 7224, 2241, 618, 324, 3288, 2040, 320, 632, 547, 4777, 1714, 8580, 2863, 334, 269, 1422, 333, 4840, 8587, 834, 382, 379, 5353, 15921, 921, 1609, 320, 7873, 545, 18059, 286, 5602, 2745, 2891, 31333, 694, 15921, 680, 1470, 679, 1714, 521, 580, 340, 1304, 324, 8580, 2863, 334, 632, 3520, 553 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7522, 19961, 540, 6394, 6786, 543, 513, 1804, 1377, 540, 5365, 1310, 29208, 267, 4170, 585, 519, 21096, 304, 3556, 6724, 616, 711, 2565, 563, 300, 984, 1006, 540, 519, 2898, 1062, 3322, 519, 946, 540, 606, 5007, 3556, 609, 513, 18292, 8818, 269, 589, 5730, 10386, 8255, 609, 1164, 6384, 543, 3340, 513, 6571, 540, 711, 1447, 982, 476, 1626, 11353, 269, 5221, 540, 519, 1382, 2601, 267, 519, 8385, 4646, 24352, 731, 1062, 1590, 1683, 513, 10386, 585, 693, 2547, 5216, 4830, 9055, 269, 634, 10386, 2557, 568, 711, 2565, 269, 2311, 519, 1283, 540, 519, 9916, 5365, 4908, 540, 476, 4335, 21636, 543, 519, 3177, 3732, 585, 519, 1884, 658, 328, 2084, 6882, 9386, 267, 972, 568, 3833, 606, 7850, 10386, 4908, 3160, 547, 476, 275, 737, 13703, 269, 4634, 1247, 2324, 609, 5216, 9055, 267, 519, 25739, 4908, 585, 519, 2898, 3556, 786, 1152, 581, 476, 3953, 737, 13703, 563, 288, 14909, 4183, 540, 519, 3556, 1031, 568, 23564, 9832, 269, 1358, 1450, 585, 513, 8465, 16369, 2039, 540, 519, 17931, 540, 519, 25541, 5365, 543, 1732, 946, 540, 6384, 667, 3722, 563, 288, 3301, 851, 540, 713, 1788, 568, 2854, 538, 595, 10030, 543, 8255, 593, 519, 12380, 5665, 1062, 269, 9603, 547, 519, 8244, 540, 10256, 267, 519, 3498, 729, 7318, 593, 12380, 13891, 1014, 267, 543, 1813, 547, 519, 24416, 4170, 267, 621, 729, 4956, 602, 519, 1982, 568, 513, 23641, 3498, 269, 634, 3077, 540, 519, 3301, 568, 1239, 11601, 267, 5365, 9936, 1436, 267, 543, 8760, 563, 274, 269, 15444, 294, 6482, 676, 1210, 7484, 11057, 543, 5595, 630, 326, 1663, 539, 264, 22809, 454, 763, 7403, 941, 1500, 676, 1210, 23287, 630, 8201, 476, 273, 264, 7484, 11057, 630, 8201, 476, 274, 264, 543, 5595, 22809, 630, 8201, 476, 275, 1040, 634, 4704, 19650, 729, 1031, 607, 835, 540, 519, 1350, 4240, 22809, 630, 8201, 476, 273, 1040, 1323, 1383, 540, 519, 4704, 1167, 19650, 13307, 568, 3254, 538, 7612, 476, 277, 563, 274, 269, 272, 269, 20970, 1062, 454, 763, 6482, 1062, 5161, 540, 22809, 267, 513, 840, 600, 680, 8595, 540, 606, 15444, 294, 5365, 267, 606, 5084, 20303, 267, 543, 513, 1617, 747, 14128, 2594, 518, 269, 1306, 606, 5084, 20303, 267, 513, 1617, 747, 14128, 2594, 518, 814, 1044, 1031, 267, 610, 513, 3280, 3556, 609, 513, 3301, 585, 3059, 5365, 4393, 563, 288, 1906, 3063, 2934, 723, 1044, 13761, 1354, 3803, 1944, 519, 12122, 540, 519, 6482, 1062, 269, 1677, 2594, 519, 2164, 540, 519, 7403, 267, 2947, 1114, 6482, 19383, 941, 1031, 269, 8422, 540, 873, 723, 1044, 12649, 11874, 269, 634, 1292, 2042, 6161, 519, 13779, 689, 519, 1379, 3761, 267, 6846, 689, 9605, 310, 790, 630, 2254, 2141, 1070, 543, 1629, 617, 1637, 540, 519, 15444, 294, 5365, 15791, 689, 513, 7404, 5925, 6728, 31092, 269, 634, 946, 540, 6007, 1379, 267, 519, 5786, 540, 15444, 294, 12904, 3259, 267, 543, 519, 946, 540, 519, 18292, 1668, 1500, 621, 2009, 547, 9004, 519, 2042, 7396, 1657, 563, 763, 15444, 294, 6786, 941, 6740, 607, 513, 5951, 3898, 3758, 609, 513, 476, 4366, 10275, 13703, 10386, 4908, 267, 609, 476, 1626, 19229, 6571, 269, 634, 15444, 294, 5365, 6384, 3914, 827, 476, 736, 28108, 267, 865, 602, 519, 5365, 6724, 616, 6190, 269, 1323, 2653, 2079, 540, 519, 6592, 6786, 568, 16798, 676, 1210, 513, 5951, 3898, 3758, 269, 4438, 519, 7403, 267, 519, 6592, 5365, 666, 581, 4767, 267, 543, 891, 6786, 666, 581, 10268, 538, 1483, 942, 269, 898, 568, 849, 2009, 547, 7696, 930, 12508, 585, 2653, 10223, 538, 519, 1985, 17279, 540, 1913, 269, 7612, 476, 278, 2982, 930, 1806, 540, 519, 2164, 540, 519, 7403, 563, 763, 7403, 941, 3177, 585, 513, 1895, 540, 476, 1691, 1004, 630, 1556, 2367, 543, 476, 274, 2021, 1070, 9907, 476, 736, 1700, 1839, 1296, 269, 589, 6093, 4087, 585, 22809, 568, 3254, 538, 7612, 476, 279, 269, 634, 22809, 685, 4087, 28209, 5594, 1063, 2043, 282, 519, 3604, 8507, 5097, 689, 519, 3604, 538, 519, 14169, 540, 519, 1480, 1560, 269, 769, 1931, 547, 2087, 519, 19428, 1063, 519, 2960, 543, 519, 22809, 267, 606, 6850, 17238, 633, 13594, 729, 1031, 269, 634, 15444, 294, 6786, 941, 6592, 609, 543, 1510, 519, 25801, 13594, 269, 634, 946, 540, 519, 13594, 538, 930, 2665, 5594, 4824, 519, 19428, 630, 1492, 6592, 15444, 294, 5365, 729, 3152, 5148, 519, 824, 1705, 711, 1860, 519, 1871, 540, 519, 15444, 294, 5365, 269, 1703, 941, 1100, 2665, 540, 21324, 540, 519, 15444, 294, 6786, 1310, 7311, 519, 13594, 563, 2414, 3035, 519, 1655, 10956, 1464, 540, 519, 6027, 6786, 267, 519, 1382, 1184, 729, 5340, 609, 519, 1739, 5650, 281, 476, 272, 264, 3498, 540, 519, 9300, 547, 519, 8405, 282, 476, 273, 264, 5365, 2638, 281, 952, 3983, 1107, 513, 1689, 540, 9300, 2990, 568, 2877, 267, 952, 1434, 1107, 10916, 519, 5365, 269, 634, 22809, 941, 7923, 676, 1210, 513, 13622, 543, 8520, 11746, 267, 4180, 519, 2604, 6617, 936, 519, 3003, 1184, 540, 7403, 563, 7628, 519, 7403, 267, 621, 729, 1336, 602, 519, 15444, 294, 6786, 21739, 8428, 1369, 519, 1895, 269, 1280, 5216, 5396, 267, 519, 2953, 2418, 540, 519, 15444, 294, 6786, 941, 5833, 5612, 267, 1247, 585, 3670, 1004, 267, 519, 2953, 2418, 1223, 711, 581, 5833, 5612, 269, 8422, 540, 891, 1004, 4121, 547, 3717, 1913, 538, 513, 2110, 942, 267, 865, 602, 519, 15444, 294, 5365, 1185, 519, 2953, 1871, 269, 634, 824, 1614, 941, 711, 2111, 547, 3489, 519, 15444, 294, 5365, 1256, 1310, 930, 942, 563, 7628, 519, 7403, 267, 476, 1015, 10221, 1431, 540, 519, 1739, 2609, 540, 519, 8675, 941, 6592, 281, 519, 24008, 513, 267, 552, 267, 1775, 267, 522, 267, 579, 267, 586, 282, 519, 1913, 281, 968, 17380, 5608, 968, 11034, 5608, 968, 23014, 329, 892, 630, 325, 1887, 1070, 968, 341, 682, 17383, 892, 630, 3847, 1070, 968, 341, 9299, 17383, 892, 630, 2431, 1070, 968, 335, 879, 5633, 892, 630, 335, 1021, 1070, 968, 10938, 5608, 968, 339, 752, 892, 630, 13433, 1070, 968, 22448, 892, 630, 7224, 1916, 2414, 1205, 519, 2953, 1297, 540, 10221, 1431, 543, 519, 7222, 8884, 1063, 1114, 1913, 267, 519, 21370, 6881, 593, 519, 5496, 729, 1031, 269, 2060, 713, 3070, 267, 519, 6786, 1705, 711, 16937, 267, 543, 621, 729, 2653, 547, 1205, 519, 2838, 1297, 540, 10221, 1431, 563, 274, 269, 274, 269, 12763, 906, 5758, 454, 2690, 2362, 2418, 540, 15444, 294, 6786, 1282, 6340, 267, 621, 568, 2556, 547, 946, 811, 6213, 8596, 269, 634, 946, 540, 519, 25801, 13594, 1705, 711, 2333, 519, 1871, 540, 519, 5365, 269, 634, 15444, 294, 5365, 814, 519, 5207, 1871, 4470, 593, 519, 5396, 543, 7158, 540, 519, 19650, 269, 15531, 519, 1655, 4087, 540, 22809, 3340, 1896, 8942, 269, 1280, 930, 1004, 267, 519, 2953, 15444, 294, 5365, 1223, 711, 581, 5833, 267, 855, 930, 540, 891, 1004, 1223, 1451, 547, 3717, 971, 1913, 267, 543, 3976, 519, 15444, 294, 6786, 941, 2953, 269, 634, 946, 540, 14461, 4087, 540, 519, 9300, 2337, 547, 2087, 519, 2953, 15444, 294, 5365, 2298, 563, 763, 1101, 6901, 1644, 547, 519, 14261, 540, 519, 15444, 294, 6786, 941, 5342, 609, 519, 946, 540, 519, 1101, 2606, 4528, 540, 519, 5907, 5547, 269, 634, 4162, 540, 713, 3926, 941, 12904, 540, 476, 272, 269, 276, 544, 267, 8220, 519, 24582, 609, 519, 2627, 22809, 267, 799, 941, 5116, 593, 519, 2960, 540, 519, 11567, 1268, 563, 1103, 519, 1184, 540, 7893, 267, 930, 2042, 941, 4767, 267, 607, 5205, 912, 14683, 1377, 1208, 540, 476, 2004, 21636, 1107, 519, 1377, 540, 713, 6846, 729, 9244, 8200, 593, 519, 12904, 2990, 2676, 4219, 540, 513, 6846, 1377, 1282, 519, 6482, 1813, 547, 4657, 540, 519, 12904, 2990, 267, 543, 454, 338, 793, 531, 689, 519, 29482, 31092, 630, 534, 11530, 5925, 1982, 1070, 4470, 593, 519, 2990, 538, 519, 2679, 563, 5472, 519, 4843, 2042, 616, 4448, 609, 513, 1804, 3259, 540, 12904, 8220, 519, 22809, 609, 519, 24582, 269, 634, 15444, 294, 6786, 24582, 814, 513, 1360, 1804, 29208, 543, 3403, 25317, 269, 898, 568, 1360, 6213, 547, 19374, 689, 519, 3167, 1700, 332, 8568, 4610, 1472, 519, 3926, 563, 763, 1655, 1505, 547, 7413, 891, 1826, 540, 19374, 568, 519, 5786, 540, 519, 5911, 3259, 689, 519, 19650, 547, 519, 24582, 269, 1677, 8275, 713, 2832, 267, 519, 9910, 4405, 1436, 540, 519, 3926, 568, 2556, 269, 634, 1101, 1900, 568, 547, 3728, 523, 519, 22809, 2047, 547, 519, 9102, 5547, 4604, 267, 543, 519, 2034, 1900, 568, 547, 1747, 519, 2898, 3926, 593, 519, 8405, 540, 519, 6027, 1268, 563, 275, 269, 3557, 540, 519, 1148, 540, 15444, 294, 4633, 6284, 454, 763, 2038, 1382, 538, 519, 2361, 540, 30402, 344, 2762, 538, 4633, 2029, 729, 10416, 5645, 856, 1152, 585, 1697, 4633, 14382, 4854, 630, 12407, 4394, 6476, 1063, 2635, 1004, 609, 14382, 4185, 1916, 5575, 1713, 8062, 547, 946, 15444, 294, 585, 13128, 4633, 6284, 941, 2944, 538, 476, 2735, 276, 1700, 2735, 277, 538, 519, 7330, 543, 3567, 269, 5651, 572, 1696, 620, 269, 476, 4294, 2185, 7302, 14128, 2627, 22809, 609, 513, 10386, 4908, 540, 476, 24423, 271, 5439, 270, 577, 14128, 4882, 269, 2991, 519, 20159, 540, 17931, 543, 4908, 6512, 547, 519, 2039, 540, 476, 1911, 1700, 1911, 271, 21636, 267, 476, 736, 10221, 1431, 540, 9678, 1913, 630, 21745, 1080, 538, 2296, 264, 585, 1079, 9739, 941, 8947, 269, 2991, 519, 946, 540, 16066, 630, 10946, 3065, 10171, 1070, 519, 8464, 693, 519, 1377, 540, 476, 2568, 260, 941, 5833, 269, 769, 513, 2663, 1382, 267, 519, 1482, 2319, 5833, 2147, 2164, 609, 519, 946, 540, 8849, 5121, 4586, 1103, 513, 6252, 1353, 267, 5545, 3744, 590, 1872, 773, 1696, 620, 269, 476, 609, 1614, 7302, 14128, 2627, 22809, 609, 513, 10386, 4908, 540, 476, 10219, 271, 5439, 270, 577, 14128, 4882, 16309, 538, 1483, 6066, 6049, 6284, 6901, 269, 1280, 1614, 9739, 543, 476, 2004, 5545, 24424, 267, 789, 6603, 513, 1697, 8760, 693, 519, 1377, 540, 476, 5038, 18336, 16449, 1382, 7740, 1141, 1034, 4359, 1568, 593, 1016, 341, 5914, 4633, 630, 22372, 593, 15444, 294, 264, 616, 2944, 267, 519, 8331, 2549, 525, 3194, 4741, 1058, 581, 5018, 1496, 1556, 267, 476, 1321, 4940, 808, 3073, 27255, 1696, 620, 269, 946, 5951, 2280, 2981, 610, 5276, 16762, 8193, 607, 519, 9936, 1436, 1505, 267, 543, 789, 946, 5841, 8849, 5121, 267, 25789, 300, 630, 26625, 677, 6152, 6191, 1070, 543, 670, 12613, 630, 327, 5200, 4460, 990, 3631, 264, 607, 1362, 13294, 269, 1280, 519, 3908, 1305, 540, 2947, 5639, 12981, 267, 789, 5833, 519, 8464, 540, 519, 1931, 540, 476, 3445, 10065, 1280, 519, 1305, 540, 2296, 11436, 543, 4775, 9739, 267, 519, 8464, 941, 2539, 1107, 693, 519, 1377, 540, 476, 2004, 10065, 7324, 3156, 2966, 676, 8331, 267, 22290, 5639, 12981, 8060, 630, 324, 3052, 1421, 585, 6552, 23376, 540, 3498, 610, 8773, 1070, 849, 4633, 6284, 538, 2352, 2175, 1058, 581, 5018, 630, 324, 3052, 1421, 17974, 1107, 609, 1164, 6846, 1377, 610, 609, 4633, 14733, 950, 519, 3154, 9633, 568, 593, 1916, 10932, 5645, 856, 676, 5576, 738, 345, 1696, 620, 269, 1496, 1724, 1700, 1428, 316, 693, 10127, 3149, 745, 515, 2160, 666, 581, 2808, 607, 519, 1034, 2629, 538, 519, 2063, 8717, 1317, 789, 6836, 547, 7753, 519, 10584, 13829, 593, 835, 1688, 543, 519, 20159, 540, 519, 10471, 593, 519, 824, 269, 634, 6394, 5365, 6538, 630, 4932, 294, 6261, 3951, 264, 729, 6592, 585, 476, 4281, 10529, 609, 519, 946, 540, 3670, 22809, 5116, 593, 519, 10584, 779, 3068, 543, 8405, 269, 1280, 519, 5365, 9936, 1436, 267, 519, 6724, 540, 942, 6389, 941, 4294, 630, 11743, 1871, 538, 7406, 267, 1648, 267, 15385, 4642, 5860, 1040, 1280, 519, 3732, 540, 476, 1691, 10529, 630, 1015, 5220, 1142, 1070, 789, 5833, 476, 5325, 269, 1428, 260, 540, 654, 2207, 630, 5320, 5470, 2557, 1916, 10048, 23042, 1696, 620, 269, 1496, 1626, 267, 476, 1704, 316, 8876, 856, 1382, 693, 519, 5545, 715, 22721, 1684, 10870, 27770, 1031, 513, 3209, 4480, 540, 4259, 540, 519, 15444, 294, 22809, 269, 769, 519, 6069, 4480, 267, 1614, 22809, 616, 1305, 593, 519, 10584 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 12558, 1491, 721, 547, 8419, 547, 1451, 827, 930, 5863, 5726, 3646, 2921, 1747, 547, 2149, 13155, 543, 1271, 2249, 899, 519, 8419, 23202, 615, 543, 634, 8419, 6371, 7749, 704, 838, 5535, 799, 568, 2808, 519, 1034, 13155, 6177, 2249, 538, 519, 18626, 772, 2529, 269, 609, 7864, 982, 476, 3199, 2937, 5017, 2451, 538, 519, 3552, 563, 5978, 16823, 568, 7325, 773, 24261, 540, 519, 2817, 13812, 25083, 5948, 269, 7325, 773, 6585, 519, 2990, 540, 8419, 543, 13323, 15789, 15440, 585, 519, 2817, 13812, 25083, 5948, 269, 7325, 773, 814, 936, 476, 2537, 1296, 685, 1995, 2324, 538, 519, 5726, 2361, 269, 7325, 773, 814, 513, 2647, 4560, 540, 1995, 543, 1702, 267, 689, 2324, 607, 513, 7320, 29489, 543, 2244, 9614, 547, 2244, 4027, 6388, 267, 2244, 5726, 1982, 1646, 267, 543, 14957, 585, 2244, 5726, 7616, 543, 3292, 563, 19878, 773, 1568, 609, 782, 2157, 540, 22257, 8041, 543, 4357, 9988, 547, 281, 1020, 5726, 4566, 585, 6870, 7320, 2249, 267, 2697, 5726, 3338, 543, 4027, 2994, 282, 1020, 15395, 6272, 267, 2359, 543, 3609, 267, 2146, 2069, 543, 23793, 543, 30393, 11558, 269, 4173, 6612, 568, 21528, 2244, 14935, 538, 7863, 741, 2067, 543, 6694, 3338, 282, 1352, 814, 3573, 1702, 543, 1995, 538, 2244, 11601, 543, 8897, 618, 3292, 267, 543, 824, 5726, 24539, 3292, 602, 666, 4217, 2244, 14935, 543, 3035, 5726, 3853, 269, 7325, 773, 6039, 607, 513, 13458, 17620, 21816, 17621, 538, 519, 29401, 6243, 543, 814, 5249, 538, 5726, 543, 6917, 1646, 538, 5824, 3013, 543, 6239, 5607, 7325, 773, 6585, 513, 9457, 779, 4110, 538, 13812, 17905, 543, 11094, 689, 519, 2160, 540, 8419, 563, 293, 27509, 20943, 2284, 540, 7909, 4045, 832, 669, 1846, 827, 12352, 267, 2679, 513, 1979, 5991, 1049, 2069, 4674, 609, 715, 599, 541, 527, 267, 6792, 267, 543, 10647, 3292, 693, 5842, 17630, 7345, 2817, 13812, 25083, 563, 2171, 2125, 924, 1107, 8940, 269, 334, 4117, 6618, 832, 3820, 454, 292, 1723, 307, 2293, 910, 4179, 2517, 334, 4117, 6618, 832, 3820, 27160, 1723, 2389, 2293, 454, 5970, 606, 12558, 2856, 286, 27189, 707, 12334, 547, 4757, 11333, 2593, 2336, 5353, 531, 16047, 2817, 13812, 25083, 568, 4092, 593, 513, 13108, 3490, 538, 21060, 6019, 267, 11404, 269, 4911, 773, 24125, 12909, 547, 9675, 9614, 25599, 715, 6614, 827, 1569, 267, 4683, 12352, 267, 543, 1010, 1378, 2619, 689, 519, 4108, 547, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 563, 288, 787, 333, 5487, 24154, 651, 267, 15445, 10615, 540, 14886, 540, 966, 4150, 632, 744, 549, 715, 29949, 267, 669, 1846, 609, 4911, 773, 24125, 827, 2679, 606, 4683, 7320, 9675, 689, 519, 2666, 909, 267, 543, 519, 2956, 540, 2146, 3403, 543, 6278, 563, 19400, 519, 5767, 3381, 827, 966, 4150, 632, 744, 549, 2817, 13812, 25083, 1934, 281, 4179, 2517, 344, 719, 340, 269, 2041, 270, 340, 302, 344, 289, 313, 298, 279, 16703, 30438, 454, 10144, 1921, 609, 2470, 538, 741, 1378, 1259, 282, 2436, 621, 779, 3168, 856, 741, 10051, 6885, 610, 30618, 532, 538, 519, 19069, 269, 1284, 782, 723, 513, 4276, 547, 2470, 543, 12624, 3047, 269, 6258, 811, 827, 7320, 1201, 1872, 525, 543, 741, 3292, 538, 5045, 7147, 543, 519, 20279, 3148, 602, 10742, 2146, 1141, 789, 616, 563, 305, 1442, 344, 13738, 1488, 11420, 531, 2817, 13812, 25083, 13216, 1869, 15109, 3294, 513, 960, 538, 3356, 543, 14767, 547, 581, 513, 30856, 4683, 3084, 7320, 9675, 538, 519, 28631, 5450, 549, 9351, 269, 634, 13216, 2882, 519, 1488, 11420, 531, 267, 27743, 4469, 1846, 543, 5565, 623, 4637, 2817, 13812, 4676, 1872, 525, 543, 568, 1753, 547, 7366, 540, 5065, 7320, 2249, 1519, 536, 2581, 267, 24052, 32608, 267, 27436, 5152, 18346, 267, 31352, 4925, 267, 1804, 2173, 1926, 18369, 267, 547, 2012, 513, 1906, 269, 1306, 835, 540, 519, 4102, 4683, 7320, 1201, 1872, 525, 538, 519, 2136, 2276, 267, 772, 2529, 269, 12551, 543, 13812, 6796, 5234, 693, 519, 25083, 616, 2921, 2962, 547, 4894, 2168, 543, 9228, 7496, 543, 10115, 538, 2069, 543, 23793, 3646, 538, 1931, 547, 581, 513, 3020, 7221, 543, 7649, 585, 519, 2146, 563, 295, 629, 18945, 1772, 7316, 898, 779, 2311, 256, 22062, 566, 609, 20550, 1695, 2904, 326, 31678, 540, 519, 2160, 540, 1715, 20252, 563, 2026, 519, 10615, 540, 26066, 4065, 14691, 267, 20550, 1695, 568, 538, 5279, 540, 1034, 4238, 693, 26066, 4065, 3194, 11120, 1006, 630, 290, 2207, 293, 264, 1519, 25640, 609, 7649, 2516, 267, 4058, 2238, 585, 9886, 30845, 2516, 267, 4509, 519, 2679, 267, 543, 865, 1454, 811, 563, 288, 6643, 609, 32065, 6938, 781, 12124, 25083, 5358, 910, 20717, 4563, 6229, 267, 4911, 773, 24125, 1299, 13225, 1173, 822, 328, 10127, 636, 19441, 827, 4683, 7320, 1201, 1872, 525, 543, 519, 25083, 5948, 781, 3646, 547, 6318, 519, 9043, 540, 476, 1691, 2475, 293, 16703, 11280, 4683, 7320, 1201, 1872, 525, 269, 19415, 543, 1451, 875, 891, 3552, 4025, 616, 3501, 585, 5275, 24176, 543, 4708, 593, 1857, 3338, 2673, 547, 4683, 7740, 949, 581, 6251, 982, 596, 1589, 269, 0, 20694, 6387, 16803, 910, 27050, 22216, 852, 630, 1220, 276, 994, 6637, 476, 3451, 269, 20796, 16775, 717, 7495, 14877, 6730, 6167, 294, 7495, 14877, 454, 4002, 4873, 476, 274, 267, 476, 9692, 280, 267, 6276, 16803, 5747, 593, 519, 1507, 267, 15027, 6532, 540, 853, 269, 27673, 267, 2348, 2451, 519, 1256, 17646, 1512, 7404, 6532, 540, 2142, 638, 807, 8370, 1296, 4505, 269, 1261, 1131, 723, 1044, 827, 32210, 1296, 2025, 269, 634, 6830, 17480, 540, 519, 9632, 16803, 1185, 2760, 4824, 267, 543, 646, 8694, 909, 16290, 593, 513, 26481, 6532, 602, 1185, 14754, 15265, 32012, 885, 1282, 519, 3105, 2185, 1296, 269, 18786, 538, 476, 9692, 276, 267, 5065, 2961, 756, 338, 17736, 1600, 609, 3943, 11317, 547, 8141, 606, 32574, 593, 519, 3703, 6532, 269, 3509, 13896, 941, 2527, 659, 1042, 543, 4006, 24914, 14616, 1354, 3703, 10136, 14697, 958, 2322, 1524, 519, 1202, 18675, 269, 901, 1590, 723, 3177, 513, 31029, 20457, 585, 519, 2063, 1296, 540, 519, 13927, 1076, 267, 10172, 16803, 269, 12138, 779, 5821, 547, 1294, 6276, 16803, 1282, 519, 2063, 13977, 21144, 1296, 540, 1010, 1272, 12651, 606, 1168, 519, 2243, 540, 2436, 646, 729, 2731, 12138, 779, 6211, 4651, 610, 2436, 12138, 3274, 5433, 9813, 730, 689, 513, 7184, 30096, 2385, 945, 1185, 9390, 539, 519, 1920, 543, 2451, 1864, 29152, 539, 1310, 1010, 3993, 779, 2669, 269, 12344, 16803, 729, 1932, 11112, 585, 513, 7552, 1394, 547, 519, 10195, 269, 21894, 519, 5168, 540, 713, 535, 987, 558, 1652, 1650, 267, 16803, 1185, 6867, 3814, 569, 3177, 1010, 4651, 609, 2883, 5351, 267, 5111, 1079, 1121, 8636, 1734, 829, 1032, 267, 1318, 909, 2394, 1010, 2063, 8569, 693, 8285, 476, 9692, 279, 563, 12024, 1082, 1582, 2987, 1203, 539, 11082, 267, 16803, 1185, 11207, 543, 9048, 22106, 2406, 1065, 644, 7007, 1010, 2250, 269, 1261, 2760, 859, 514, 1027, 519, 13581, 652, 7287, 547, 30603, 519, 20807, 338, 540, 1010, 2038, 1272, 267, 543, 1010, 909, 32523, 7283, 513, 9184, 5622, 1888, 269, 8616, 6689, 10207, 949, 723, 4797, 547, 2681, 519, 1259, 646, 4718, 1919, 267, 2523, 8474, 269, 1635, 519, 942, 646, 2451, 519, 27308, 538, 476, 9692, 276, 267, 8474, 1185, 13175, 547, 973, 27827, 538, 1715, 4789, 543, 519, 4571, 268, 4263, 23007, 2829, 269, 29049, 6816, 267, 28599, 267, 12590, 267, 1715, 24900, 267, 12425, 267, 543, 21086, 1185, 4956, 547, 13373, 880, 621, 269, 3117, 30679, 28204, 7508, 941, 1715, 3840, 543, 1715, 14948, 269, 1924, 538, 5130, 476, 9692, 279, 267, 16803, 759, 25390, 1010, 7681, 609, 519, 1715, 3840, 2494, 636, 2153, 5980, 267, 1010, 2123, 30901, 2348, 561, 17863, 1282, 1010, 15740, 1296, 269, 5082, 539, 835, 540, 922, 2185, 3656, 9666, 619, 267, 646, 5280, 9718, 1863, 17051, 950, 10553, 18544, 689, 856, 540, 1533, 6216, 1639, 12014, 540, 9042, 543, 6836, 547, 2879, 2255, 873, 1055, 519, 1715, 3840, 10754, 563, 1103, 476, 9692, 280, 267, 519, 2486, 10150, 513, 15999, 11802, 950, 519, 7361, 8549, 626, 13909, 267, 13359, 2059, 5428, 3515, 267, 3526, 539, 519, 16795, 20552, 540, 8474, 538, 1715, 3840, 3557, 676, 513, 8917, 540, 24239, 32732, 547, 8938, 31644, 269, 630, 288, 16336, 8738, 337, 267, 1498, 646, 17477, 1010, 1378, 10553, 1303, 5971, 585, 1082, 1296, 267, 8919, 539, 547, 519, 8549, 626, 5354, 4700, 1635, 476, 5197, 275, 267, 1715, 14948, 1185, 4553, 1715, 3840, 779, 1383, 267, 1028, 1005, 602, 519, 5087, 1131, 970, 597, 335, 622, 519, 2259, 936, 519, 1985, 5108, 267, 4543, 547, 1305, 519, 3942, 585, 519, 6406, 2782, 269, 769, 519, 7013, 2829, 267, 609, 741, 3728, 21212, 10553, 2551, 543, 519, 8798, 540, 519, 10412, 575, 514, 267, 8474, 2968, 811, 538, 518, 19631, 762, 269, 8409, 27428, 581, 342, 17097, 676, 519, 14810, 602, 8474, 1131, 7444, 28201, 2476, 941, 1373, 9863, 4636, 269, 26062, 1296, 1310, 1715, 3840, 4956, 547, 1439, 8474, 267, 16962, 267, 23885, 267, 543, 3933, 19172, 1869, 804, 2426, 547, 971, 7787, 3074, 267, 6031, 267, 585, 3236, 267, 602, 952, 8474, 941, 6905, 883, 519, 1007, 7262, 2829, 267, 621, 1131, 14020, 543, 5884, 563, 295, 15071, 779, 2012, 5186, 5529, 909, 30122, 538, 519, 2494, 636, 2153, 5980, 3764, 585, 922, 4728, 476, 9692, 280, 5870, 269, 634, 2486, 729, 3843, 547, 3094, 519, 5191, 540, 513, 10553, 3957, 8861, 267, 945, 1185, 1044, 4547, 547, 1715, 3840, 689, 15930, 269, 898, 5828, 856, 267, 547, 16803, 779, 19849, 14536, 267, 602, 1352, 20705, 547, 1010, 7015, 2987, 25237, 3627, 31661, 518, 5783, 269, 634, 3764, 9206, 3022, 713, 26101, 25896, 1510, 21107, 6085, 281, 968, 288, 314, 20426, 16803, 729, 8665, 585, 5783, 538, 519, 1870, 1848, 272, 3627, 543, 19664, 3821, 5783, 1185, 20399, 16803, 547, 6718, 10437, 585, 873, 1354, 741, 2132, 547, 1715, 3840, 269, 2311, 519, 1985, 5870, 267, 621, 729, 4080, 602, 519, 932, 11699, 1185, 10393, 2016, 8861, 1200, 5191, 269, 901, 10071, 18791, 519, 554, 4875, 602, 835, 610, 1312, 540, 519, 7805, 8100, 547, 10553, 16306, 538, 16803, 779, 6666, 9248, 585, 476, 9692, 277, 543, 476, 9692, 278, 5219, 547, 16306, 585, 519, 932, 11699, 267, 711, 585, 5128, 269, 1635, 3735, 476, 9692, 276, 267, 649, 11291, 267, 16803, 729, 2907, 10122, 585, 8027, 585, 1010, 13059, 14077, 563, 763, 2494, 636, 2153, 5980, 779, 960, 729, 2484, 689, 936, 269, 898, 10443, 513, 1153, 585, 835, 4627, 3109, 1453, 267, 3450, 873, 10259, 267, 2542, 267, 1603, 267, 543, 12980, 269, 898, 849, 1486, 6479, 606, 5051, 1455, 2259, 281, 1715, 3840, 10553, 6868, 941, 4931, 28124, 1533, 4031, 676, 13143, 532, 10437, 547, 519, 5045, 267, 689, 1141, 789, 941, 11843, 547, 519, 4639, 4095, 4006, 24914, 602, 16803, 1185, 1634, 607, 513, 7911, 269, 16803, 15189, 547, 6749, 1010, 9525, 538, 519, 2494, 636, 2153, 5980, 1256, 607, 1010, 556, 852, 333, 8057, 543, 1010, 19647, 27723, 16611, 269, 1261, 6854, 909, 1010, 4276, 607, 513, 3656, 9666, 518, 2394, 1010, 2669, 269, 12984, 713, 5310, 1010, 2123, 1259, 540, 14344, 519, 2250, 676, 6439, 4328, 519, 21440, 602, 1185, 11303, 1010, 2038, 1296, 888, 295, 15071, 779, 24431, 18561, 960, 538, 519, 3735, 476, 9692, 271, 338, 729, 17704, 1194, 676, 4432, 21289, 779, 3395, 17933, 593, 15773, 540, 8589, 543, 15125, 16967, 6577, 1004, 267, 960, 602, 729, 547, 20441, 519, 2063, 3368, 2540, 540, 1200, 1272, 269, 5221, 4432, 21289, 16803, 729, 513, 16434, 267, 1582, 3887, 742, 5217, 4807, 945, 15151, 10032, 1200, 1378, 5022, 543, 6836, 547, 1163, 25128, 1200, 4527, 689, 519, 1686, 2835, 267, 519, 3196, 540, 1200, 7209, 543, 519, 9588, 540, 1200, 9295, 723, 1044, 15763, 269, 4173, 5067, 12138, 267, 12789, 1421, 2899, 4330, 1200, 607, 968, 516, 5658, 762, 585, 838, 2431, 17349, 543, 642, 643, 13369, 1848, 273, 4173, 21722, 960, 547, 14867, 519, 7092, 540, 519, 4057, 814, 1044, 782, 855, 16618, 269, 968, 9515, 729, 513, 1034, 7118, 652, 267, 17615, 267, 543, 10995, 4807, 2223, 1767, 1200, 5067, 6276, 269, 968, 15463, 4497, 906, 607, 513, 9030, 540, 519, 654, 573, 3298, 5980, 543, 2107, 23782, 1306, 23796, 941, 538, 947, 656, 1848, 274, 454, 763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9547, 543, 1978, 2188, 2014, 2816, 27025, 8351, 269, 1703, 568, 849, 513, 3381, 1383, 540, 875, 621, 782, 1568, 538, 6384, 269, 769, 782, 16904, 2436, 4357, 610, 1533, 11262, 267, 8404, 4249, 513, 1883, 1909, 538, 6117, 5520, 2509, 8236, 741, 3853, 267, 10721, 3853, 543, 547, 513, 1978, 6708, 519, 9909, 540, 741, 6082, 269, 5381, 885, 540, 16549, 869, 543, 4173, 345, 6199, 7869, 540, 31802, 269, 1717, 267, 4173, 345, 6199, 779, 3069, 568, 4922, 15197, 543, 1031, 2066, 1082, 11890, 269, 634, 824, 7121, 540, 2188, 729, 1644, 547, 2048, 1492, 991, 547, 2057, 18473, 1145, 8730, 543, 729, 1634, 607, 9882, 2188, 269, 4173, 345, 6199, 4951, 602, 9045, 529, 8351, 543, 19837, 15384, 8351, 693, 960, 2097, 689, 1114, 2188, 898, 568, 2009, 547, 5352, 3350, 630, 1326, 1154, 2576, 547, 798, 1945, 264, 998, 918, 3951, 288, 812, 613, 618, 269, 901, 3069, 267, 849, 1572, 519, 31802, 6953, 344, 8958, 7869, 610, 519, 12242, 29969, 3069, 267, 729, 4050, 2740, 676, 19291, 4173, 345, 6199, 538, 476, 4198, 280, 269, 901, 1977, 18673, 267, 945, 729, 1360, 5461, 538, 1004, 781, 8404, 543, 2816, 9547, 267, 3357, 909, 2560, 4635, 16549, 869, 781, 15796, 540, 2115, 543, 4173, 345, 6199, 781, 8404, 268, 1506, 8958, 1139, 3789, 267, 713, 2754, 7135, 519, 13766, 547, 5000, 2500, 7607, 540, 922, 5520, 547, 1683, 3608, 3028, 547, 6800, 269, 4173, 345, 6199, 729, 519, 1101, 547, 1397, 602, 9547, 543, 27025, 8351, 693, 960, 5176, 2141, 21256, 689, 1114, 2188, 267, 543, 941, 711, 3274, 15852, 6547, 547, 519, 1482, 2188, 267, 607, 1185, 2141, 5892, 1044, 5156, 269, 31802, 2188, 3769, 9740, 267, 6284, 267, 519, 960, 3294, 267, 5539, 267, 13120, 543, 519, 7872, 585, 2208, 630, 15463, 345, 6199, 267, 476, 3422, 277, 282, 4173, 345, 6199, 267, 476, 1220, 274, 1040, 1452, 1079, 5036, 540, 2188, 616, 20102, 4830, 269, 634, 1079, 29969, 3069, 630, 10193, 1634, 607, 4173, 345, 6199, 779, 8404, 268, 1506, 8958, 3069, 264, 2829, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 2014, 2816, 9547, 267, 1247, 513, 5094, 1305, 540, 2188, 2014, 27025, 8351, 269, 20307, 543, 16797, 630, 1220, 274, 264, 25077, 602, 513, 4999, 540, 8404, 543, 9882, 2188, 1223, 581, 1031, 538, 7893, 8404, 543, 602, 513, 2816, 1164, 538, 8404, 543, 9882, 2188, 5012, 547, 1164, 8404, 543, 1906, 20286, 1851, 5520, 269, 4340, 547, 3223, 26710, 630, 1220, 274, 1070, 31802, 568, 835, 540, 519, 1034, 16041, 17205, 538, 519, 2296, 1893, 269, 769, 1250, 3105, 2816, 594, 1705, 711, 1205, 6976, 5781, 269, 4173, 345, 6199, 779, 7869, 540, 31802, 13290, 547, 1205, 547, 519, 3597, 540, 8404, 538, 519, 9036, 269, 670, 1173, 773, 630, 1220, 277, 264, 849, 20401, 539, 547, 713, 4214, 19163, 602, 2043, 616, 676, 2470, 3804, 9141, 543, 602, 1004, 960, 7683, 2509, 17598, 741, 9228, 2115, 676, 1106, 6819, 543, 13197, 3853, 269, 634, 1079, 29969, 3069, 630, 10193, 1634, 607, 4173, 345, 6199, 781, 8404, 268, 1506, 8958, 3069, 543, 12242, 29969, 3069, 264, 2829, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 2014, 2816, 9547, 1247, 513, 5094, 1305, 540, 2188, 2014, 27025, 8351, 267, 782, 540, 799, 957, 10446, 540, 1142, 824, 269, 3689, 5941, 538, 476, 4198, 280, 779, 31802, 547, 4518, 267, 1010, 9565, 5565, 16748, 7869, 630, 10440, 30719, 5336, 582, 10474, 7869, 264, 3964, 875, 9036, 2188, 666, 1764, 938, 8404, 2157, 538, 1079, 1360, 1114, 2081, 269, 1703, 616, 1082, 6436, 540, 8404, 602, 9946, 723, 13986, 547, 2936, 269, 1703, 616, 1614, 1292, 3069, 6688, 267, 12077, 1543, 6436, 267, 1184, 6436, 543, 4207, 519, 12929, 2507, 18412, 630, 1220, 274, 264, 3989, 8404, 607, 519, 3196, 602, 4384, 919, 543, 11479, 519, 6024, 3498, 540, 1995, 267, 6791, 543, 1983, 269, 589, 2673, 6514, 540, 4173, 345, 6199, 779, 2203, 6920, 602, 585, 1346, 5520, 945, 723, 6913, 513, 1377, 540, 1514, 543, 2804, 3356, 538, 519, 2486, 267, 2362, 7400, 2115, 540, 16549, 869, 779, 2203, 630, 652, 9851, 543, 1582, 19840, 783, 1436, 264, 616, 519, 3119, 4665, 2209, 269, 5565, 29969, 3069, 17950, 901, 2376, 6663, 547, 2689, 4173, 345, 6199, 779, 1079, 29969, 3069, 547, 9441, 8404, 538, 2221, 779, 16904, 269, 769, 713, 2796, 267, 519, 1353, 729, 5342, 13296, 519, 2833, 543, 4606, 540, 476, 1220, 8030, 543, 2272, 1218, 941, 9916, 269, 1703, 616, 1082, 6436, 540, 8404, 267, 543, 789, 6140, 2285, 513, 6935, 610, 3310, 519, 4093, 540, 9441, 2816, 9547, 269, 769, 476, 4198, 280, 4173, 345, 6199, 5206, 519, 1739, 3730, 2370, 8360, 267, 799, 2337, 2491, 713, 4909, 851, 540, 1010, 3069, 269, 19291, 4173, 345, 6199, 634, 9882, 8404, 3069, 6056, 518, 476, 9826, 19291, 4173, 345, 6199, 630, 4572, 274, 268, 1220, 271, 264, 729, 513, 2475, 4791, 18673, 945, 2663, 2968, 7905, 540, 5004, 693, 18096, 2160, 269, 3367, 713, 2376, 1631, 547, 1451, 875, 547, 4019, 621, 538, 2259, 269, 5565, 16748, 7763, 643, 1049, 7869, 4658, 616, 6766, 676, 1079, 2188, 281, 4173, 345, 6199, 779, 8404, 3069, 568, 835, 540, 519, 1543, 6436, 540, 8404, 269, 834, 2171, 666, 4228, 3267, 676, 17548, 602, 519, 2816, 6916, 4536, 4308, 609, 519, 2188, 3238, 538, 3257, 519, 2816, 267, 6466, 519, 2816, 27025, 325, 4536, 4308, 609, 519, 2188, 799, 5581, 519, 2816, 2796, 1701, 901, 729, 19430, 676, 1010, 20171, 547, 519, 667, 778, 879, 2201, 519, 2470, 540, 5316, 1081, 531, 13742, 538, 12007, 1382, 281, 4173, 345, 6199, 781, 1079, 29969, 3069, 540, 960, 8404, 269, 634, 1482, 6585, 3020, 585, 4173, 345, 6199, 779, 3312, 1382, 1374, 267, 799, 568, 1869, 1031, 676, 1699, 3173, 782, 1472, 519, 1158, 547, 2932, 2090, 593, 9036, 8404, 630, 305, 3578, 1678, 3019, 543, 29142, 684, 331, 3570, 476, 1220, 274, 267, 23111, 6242, 4345, 543, 5576, 30591, 12027, 779, 476, 1220, 273, 267, 7033, 332, 516, 1188, 476, 1220, 272, 1040, 4750, 540, 27706, 10017, 2073, 476, 2004, 263, 272, 1070, 6032, 269, 274, 268, 1691, 269, 19291, 4173, 345, 6199, 779, 5565, 6363, 18503, 7869, 267, 849, 1634, 607, 31802, 6953, 344, 8958, 7869, 610, 17271, 5288, 269, 16312, 13917, 8404, 267, 20147, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 666, 2014, 2816, 9547, 543, 513, 5094, 1305, 540, 2188, 602, 666, 2014, 27025, 8351, 269, 1703, 568, 513, 1390, 16726, 1063, 16549, 869, 779, 543, 4173, 345, 6199, 779, 3631, 540, 8404, 269, 19291, 4173, 345, 6199, 543, 1010, 5234, 1759, 741, 8404, 587, 499, 1506, 8958, 3069, 593, 513, 3099, 540, 1480, 2115, 543, 4294, 621, 547, 513, 4640, 540, 2816, 23918, 602, 814, 4922, 6766, 8404, 543, 2816, 1374, 2994, 269, 0, 1103, 519, 2136, 2276, 267, 7429, 4683, 3270, 538, 1082, 824, 2477, 267, 6418, 4872, 2066, 519, 4182, 723, 1279, 8659, 6760, 1102, 6479, 1793, 4548, 4652, 527, 585, 1480, 3110, 2787, 563, 4407, 1454, 540, 519, 1977, 2551, 11099, 519, 2136, 2276, 568, 834, 1492, 6574, 4182, 593, 3618, 2437, 834, 577, 4923, 257, 543, 25552, 609, 834, 684, 1664, 257, 7326, 630, 320, 6249, 602, 4991, 6404, 8039, 689, 4914, 24319, 1070, 1906, 28429, 713, 23904, 5075, 2965, 2661, 538, 3013, 781, 4683, 1793, 4548, 269, 8616, 891, 2175, 616, 267, 538, 1249, 267, 851, 540, 834, 1492, 1977, 1259, 540, 1272, 4799, 10702, 267, 519, 1360, 1249, 602, 891, 2175, 723, 30174, 865, 1279, 6920, 602, 741, 1483, 3123, 723, 930, 2620, 4276, 10502, 609, 519, 4890, 1543, 540, 834, 1492, 1977, 1259, 540, 1272, 2437, 538, 519, 3029, 621, 814, 1279, 3144, 563, 2467, 814, 1044, 513, 3765, 24483, 607, 547, 1018, 834, 637, 7808, 2127, 257, 2965, 616, 269, 1358, 616, 711, 3274, 4025, 1141, 1004, 834, 637, 728, 257, 547, 4163, 593, 741, 1459, 2729, 282, 789, 616, 4025, 1141, 519, 2104, 568, 8032, 998, 519, 23462, 540, 593, 268, 5765, 5481, 269, 901, 1797, 1582, 21553, 1137, 267, 20030, 267, 3853, 267, 543, 18144, 269, 1763, 7808, 2127, 9742, 519, 2104, 17114, 540, 21939, 883, 519, 834, 10852, 6894, 257, 5288, 269, 1514, 2619, 3098, 267, 1519, 3075, 8213, 543, 10795, 6760, 267, 609, 2640, 610, 3790, 547, 2486, 693, 1804, 14178, 5756, 883, 519, 2104, 563, 288, 2101, 851, 540, 23462, 568, 1909, 3631, 269, 2290, 10421, 540, 13998, 22510, 2950, 734, 638, 924, 3622, 267, 855, 711, 2141, 734, 529, 1909, 3631, 540, 1647, 11665, 2010, 267, 17618, 22885, 267, 543, 8754, 6404, 13867, 16973, 267, 610, 693, 2547, 21084, 540, 5230, 9830, 540, 519, 9803, 5049, 269, 901, 1514, 1249, 568, 4922, 6444, 538, 1454, 540, 5375, 2342, 563, 4910, 7808, 3270, 616, 513, 5458, 3815, 7133, 519, 1915, 540, 1857, 3506, 269, 769, 519, 2136, 2276, 267, 1082, 540, 519, 9620, 547, 6963, 6418, 2275, 640, 1857, 3506, 723, 5059, 593, 519, 3506, 543, 3610, 543, 8854, 1932, 2484, 538, 1025, 5446, 873, 585, 519, 17016, 267, 1775, 4318, 269, 4057, 2875, 2773, 267, 1510, 19249, 835, 519, 1883, 11378, 267, 10821, 3270, 267, 799, 1379, 2685, 3310, 519, 2528, 540, 3237, 543, 1053, 269, 15316, 540, 891, 1153, 3146, 845, 3646, 723, 4294, 9645, 2200, 267, 543, 1951, 935, 1014, 15569, 540, 3610, 267, 855, 1287, 3812, 1152, 8792, 9283, 538, 2875, 2773, 734, 20357, 540, 3668, 540, 2875, 8404, 269, 901, 666, 581, 14360, 267, 538, 1804, 2268, 267, 547, 519, 1909, 3631, 602, 7173, 841, 3544, 519, 4928, 269, 28740, 2275, 640, 1053, 4043, 547, 1589, 543, 13789, 8335, 689, 1647, 11665, 1053, 1317, 789, 941, 711, 6659, 538, 1647, 11665, 16973, 563, 1103, 519, 2136, 2276, 267, 5103, 782, 519, 8977, 999, 689, 3288, 23579, 345, 1922, 18311, 689, 519, 561, 279, 3199, 781, 998, 519, 1715, 268, 5719, 531, 5736, 543, 3564, 267, 543, 1247, 7292, 7130, 814, 1044, 9619, 676, 9086, 543, 519, 10470, 267, 972, 814, 1044, 2370, 4683, 1514, 4058, 538, 8901, 2474, 547, 2569, 3665, 2804, 17478, 538, 10821, 3270, 563, 763, 3668, 540, 971, 1514, 4058, 3330, 519, 2136, 2276, 814, 1279, 13684, 3790, 267, 538, 930, 2665, 11999, 3790, 267, 2390, 824, 6082, 267, 585, 835, 540, 519, 4102, 6990, 585, 2182, 5061, 814, 1279, 1044, 538, 519, 6418, 4872, 540, 519, 2136, 2276, 269, 634, 3790, 538, 12052, 543, 6792, 723, 3769, 18272, 5209, 676, 3075, 14228, 338, 540, 5458, 2338, 540, 29752, 2199, 7128, 8069, 267, 16488, 267, 543, 824, 8387, 563, 25567, 753, 4043, 547, 8263, 602, 2489, 2804, 13884, 834, 331, 22284, 782, 16996, 1701, 1809, 538, 519, 2063, 3368, 540, 519, 476, 736, 628, 2540, 2175, 538, 1977, 6418, 4872, 8057, 8338, 267, 1317, 540, 1079, 1390, 2242, 538, 1977, 2486, 912, 5575, 267, 7372, 9271, 540, 5663, 6009, 7018, 267, 1317, 540, 2804, 1646, 538, 824, 2694, 540, 519, 1158, 267, 6028, 606, 1977, 834, 6412, 12966, 257, 540, 10969, 730, 2950, 563, 13553, 267, 519, 1977, 3540, 2924, 4838, 540, 519, 476, 3422, 271, 781, 4847, 1647, 11665, 2349, 2931, 547, 1847, 689, 6418, 2275, 640, 575, 515, 1777, 657, 856, 547, 1016, 31755, 269, 2776, 16227, 267, 1082, 540, 891, 6418, 2275, 640, 575, 515, 1777, 657, 1185, 513, 3818, 11665, 1915, 267, 607, 11609, 676, 519, 834, 19604, 12661, 11193, 257, 540, 519, 476, 4572, 271, 781, 543, 824, 2147, 2950, 269, 1809, 607, 519, 6821, 540, 7292, 17478, 941, 24905, 1194, 267, 713, 856, 2173, 12568, 2451, 3297, 18219, 543, 18219, 9830, 540, 519, 9803, 5049, 538, 6418, 4872, 269, 1977, 1857, 4507, 1705, 2370, 547, 22771, 585, 519, 1967, 540, 519, 3540, 8573, 2074, 4838, 269, 634, 1360, 10206, 540, 834, 4818, 839, 908, 257, 585, 834, 338, 15471, 257, 568, 2352, 585, 4892, 547, 9787, 267, 1317, 540, 741, 630, 332, 529, 7666, 3660, 264, 5132, 538, 21245, 4229, 538, 2486, 563, 1432, 1058, 2944, 912, 263, 272, 264, 8844, 519, 4346, 547, 1164, 2157, 540, 2489, 7694, 563, 263, 273, 264, 30771, 946, 540, 1857, 7482, 547, 3895, 882, 6327, 540, 1004, 856, 540, 20158, 2127, 267, 1519, 20158, 4683, 2127, 267, 547, 4025, 267, 2282, 610, 2484, 267, 1141, 6009, 616, 811, 726, 550, 3814, 563, 263, 274, 264, 30771, 2866, 543, 1427, 20995, 282, 543, 267, 547, 713, 1439, 267, 13373 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14112, 1557, 593, 5539, 540, 2875, 454, 763, 5539, 547, 2149, 568, 19493, 6304, 676, 1776, 2012, 4367, 519, 3948, 4016, 547, 519, 2165, 5539, 547, 2149, 922, 5095, 689, 21393, 267, 2112, 10963, 267, 6803, 26349, 543, 10963, 1996, 8103, 713, 5539, 14122, 519, 6604, 540, 971, 10963, 267, 1519, 741, 1651, 924, 6497, 267, 998, 3617, 543, 6054, 2147, 547, 5539, 547, 2149, 1557, 5539, 547, 2149, 281, 4101, 13210, 540, 1480, 2924, 1876, 269, 1548, 568, 2875, 5539, 2875, 5539, 4386, 950, 1053, 1491, 606, 3742, 1909, 538, 741, 1565, 676, 9301, 789, 616, 18177, 585, 741, 11645, 543, 9021, 540, 513, 2875, 1272, 568, 2110, 267, 513, 2875, 1590, 2226, 513, 3280, 1560, 538, 1931, 547, 2226, 513, 3280, 1072, 621, 568, 519, 1053, 2110, 1557, 593, 5539, 540, 513, 2875, 945, 1058, 22738, 519, 5539, 540, 8165, 713, 568, 513, 2110, 7650, 540, 519, 1883, 2489, 11645, 1557, 593, 11645, 543, 9021, 540, 269, 634, 9021, 540, 606, 4998, 2875, 519, 3483, 540, 2069, 568, 547, 3132, 4998, 7606, 547, 3068, 519, 9021, 540, 519, 2104, 713, 2832, 666, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1250, 5539, 607, 513, 2875, 269, 2353, 5533, 835, 1557, 29907, 14994, 3435, 1557, 476, 1408, 1206, 18186, 739, 5856, 781, 3625, 1557, 909, 18792, 3498, 1557, 5439, 579, 342, 325, 1018, 568, 6725, 1557, 6752, 3017, 1063, 1079, 4529, 1557, 1557, 2197, 2749, 2713, 7997, 3584, 585, 3860, 1603, 7005, 3308, 1557, 585, 1250, 19033, 2915, 21604, 1557, 593, 521, 4461, 2426, 2754, 1514, 5539, 269, 13786, 4850, 540, 1434, 2875, 9021, 540, 1434, 2875, 281, 1053, 616, 2141, 1394, 5642, 540, 513, 2486, 621, 568, 1271, 9021, 540, 513, 2875, 547, 3343, 1702, 543, 3035, 1010, 4247, 609, 2407, 1990, 7002, 543, 1990, 652, 2182, 960, 568, 519, 1883, 547, 1967, 30493, 568, 6913, 998, 2182, 960, 530, 578, 8799, 1557, 586, 541, 737, 5984, 22678, 520, 646, 530, 1695, 544, 18054, 989, 1092, 646, 3777, 269, 3776, 5539, 538, 938, 1272, 1557, 513, 266, 3817, 281, 273, 1913, 281, 26493, 713, 568, 1175, 513, 3732, 547, 1205, 513, 2189, 1557, 16926, 5856, 4647, 281, 23486, 2703, 343, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 938, 5539, 538, 938, 1272, 4481, 585, 596, 585, 1152, 1269, 14321, 279, 1269, 16928, 5539, 540, 519, 2875, 607, 513, 15226, 568, 1565, 1134, 267, 798, 1753, 960, 602, 814, 1044, 2016, 547, 873, 267, 9015, 538, 4881, 519, 1153, 3652, 713, 1797, 602, 1142, 2875, 568, 2838, 547, 5645, 856, 11613, 519, 9021, 563, 291, 583, 625, 543, 5539, 540, 519, 4387, 519, 7189, 2061, 519, 15435, 2550, 621, 568, 519, 960, 540, 519, 10629, 1034, 540, 519, 1004, 7092, 689, 519, 3676, 543, 519, 4387, 5539, 616, 547, 1265, 519, 10826, 540, 1346, 3676, 269, 4828, 5539, 540, 513, 1053, 9921, 1966, 1126, 1557, 948, 20410, 1557, 3584, 827, 1390, 21099, 3332, 1557, 7328, 568, 6752, 2556, 2110, 1557, 593, 1250, 9909, 2055, 1382, 1557, 3028, 1655, 5539, 1557, 1383, 1250, 2197, 4731, 904, 1014, 513, 1434, 1382, 1557, 593, 1250, 630, 331, 913, 3860, 1603, 1032, 476, 273, 3211, 264, 12103, 676, 12031, 1279, 5647, 1557, 1603, 7270, 269, 4828, 2648, 707, 1604, 1651, 8675, 2495, 540, 12031, 5967, 16724, 1557, 16724, 2079, 1895, 875, 547, 1376, 606, 1557, 585, 513, 14172, 1535, 7901, 835, 2069, 568, 519, 1152, 1259, 856, 540, 6710, 1557, 1603, 269, 5272, 2875, 1058, 723, 519, 1697, 1702, 827, 519, 11645, 543, 5539, 1100, 2875, 2479, 1140, 1622, 1360, 900, 5799, 1967, 676, 3274, 3257, 1018, 2838, 540, 1864, 281, 621, 568, 519, 2179, 543, 17284, 540, 1018, 568, 936, 267, 1007, 1032, 476, 1001, 280, 1557, 538, 7005, 585, 1053, 268, 1224, 1934, 910, 1557, 593, 1007, 1032, 6126, 1007, 1032, 476, 1001, 279, 519, 1007, 1032, 568, 9976, 782, 936, 519, 1158, 609, 1390, 15131, 543, 1187, 4505, 267, 1775, 553, 1957, 6398, 6398, 563, 10666, 8885, 1557, 585, 2875, 5539, 476, 271, 476, 1001, 279, 270, 1015, 270, 3066, 1557, 593, 1250, 5172, 9413, 596, 14654, 828, 1557, 1533, 540, 2247, 29863, 632, 28852, 1557, 2575, 543, 803, 1560, 1557, 1806, 827, 6517, 7874, 1250, 1604, 1557, 6564, 2110, 1557, 3732, 827, 1272, 909, 2675, 981, 1557, 3060, 3354, 12222, 827, 1250, 6049, 1557, 5065, 8498, 4367, 851, 540, 1557, 3732, 11090, 11530, 1557, 5339, 1603, 3028, 8039, 14703, 2359, 3584, 585, 1557, 1603, 2489, 269, 4828, 593, 519, 11645, 540, 513, 2875, 2376, 3838, 676, 476, 279, 1271, 2798, 547, 3314, 827, 713, 1557, 281, 1557, 4367, 11645, 540, 1053, 476, 31404, 1913, 2110, 1557, 593, 606, 4998, 2875, 2328, 606, 1557, 593, 11645, 543, 9021, 540, 1053, 1018, 616, 519, 1271, 11645, 540, 513, 1434, 27680, 630, 1556, 11645, 264, 513, 2110, 5037, 593, 8511, 2360, 269, 4828, 593, 1250, 1153, 1923, 1557, 593, 1250, 1153, 1272, 1923, 5037, 593, 1250, 1153, 1923, 5888, 593, 1250, 1153, 1923, 4633, 593, 1250, 1153, 782, 1053, 27043, 538, 519, 19209, 538, 519, 6640, 585, 6640, 11755, 543, 1287, 979, 547, 741, 9757, 1362, 11623, 5888, 593, 1250, 1153, 1557, 593, 1250, 1153, 1272, 5037, 593, 1250, 1153, 1153, 1272, 1557, 2110, 1557, 593, 1250, 1153, 4633, 593, 1250, 1153, 2022, 12445, 3105, 2022, 16938, 3105, 1973, 21856, 2433, 1557, 267, 4633, 267, 2376, 11783, 10374, 1557, 593, 1909, 543, 2956, 540, 1053, 538, 2486, 476, 1001, 276, 676, 9631, 3534, 887, 344, 1909, 543, 2956, 540, 1053, 538, 2486, 1053, 1590, 8275, 519, 2956, 540, 519, 2078, 1063, 606, 1367, 543, 519, 2486, 812, 568, 12851, 547, 513, 2486, 267, 543, 1053, 616, 606, 1271, 851, 540, 621, 1053, 3112, 2661, 538, 2347, 10072, 689, 519, 2146, 3734, 621, 568, 519, 1053, 945, 1058, 22738, 519, 5539, 540, 8165, 4550, 1606, 3469, 2238, 540, 513, 1906, 18348, 1004, 563, 14112, 1557, 593, 5539, 540, 2875, 454, 305, 2074, 543, 9021, 540, 4961, 1557, 585, 1362, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 543, 476, 1321, 1265, 1279, 543, 2110, 1557, 593, 2924, 543, 9021, 540, 4961, 585, 707, 3214, 267, 1453, 543, 1053, 269, 4828, 593, 968, 322, 2734, 622, 1514, 5539, 543, 7881, 1557, 593, 968, 322, 2734, 622, 1514, 5539, 543, 7881, 519, 3549, 9450, 1369, 513, 26526, 2110, 942, 543, 8118, 29099, 1082, 9513, 19093, 538, 519, 8087, 2829, 267, 28492, 543, 519, 8087, 10806, 10826, 660, 569, 267, 519, 3919, 814, 513, 2698, 269, 594, 993, 513, 476, 1015, 628, 1362, 2875, 1775, 7390, 513, 4583, 27352, 6444, 1164, 1153, 1775, 899, 1250, 1272, 693, 1153, 607, 513, 2875, 267, 1775, 723, 1978, 11645, 543, 9021, 1775, 899, 873, 1775, 2760, 2119, 547, 695, 25184, 269, 26930, 540, 513, 2875, 1557, 9073, 676, 538, 5539, 540, 513, 2875, 1557, 9073, 476, 3066, 12354, 476, 1001, 279, 2792, 543, 4950, 1557, 609, 5348, 18462, 1557, 593, 3635, 17717, 538, 737, 2335, 3385, 1557, 568, 513, 2110, 1655, 2828, 1557, 15938, 23504, 1579, 916, 517, 2893, 1655, 1557, 1603, 3028, 20410, 1565, 7005, 538, 1153, 1557, 2182, 5191, 540, 4633, 1557, 5098, 563, 268, 4828, 827, 22459, 5539, 540, 2875, 2110, 1557, 593, 2797, 2152, 12031, 1344, 1949, 11285, 5967, 2055, 9702, 3594, 538, 7005, 575, 560, 630, 1263, 1501, 7328, 1557, 17707, 264, 24185, 585, 1557, 3140, 1747, 1294, 513, 1382, 1957, 1383, 7824, 1557, 827, 9649, 5774, 320, 18105, 636, 16147, 1092, 1018, 568, 1915, 1557, 1753, 4214, 563, 268, 5441, 9021, 538, 1082, 2665, 2487, 1164, 1153, 20021, 616, 8600, 2933, 585, 519, 1995, 540, 2852, 519, 1034, 1271, 3344, 540, 13215, 707, 2069, 538, 2852, 4125, 2870, 606, 3961, 267, 8391, 606, 2069, 267, 543, 30176, 1514, 9021, 713, 1163, 563, 13625, 593, 2875, 1272, 281, 2470, 267, 11645, 267, 9021, 543, 18399, 7121, 281, 3594, 267, 9021, 281, 513, 2875, 849, 814, 1010, 9021, 891, 1058, 581, 9859, 2509, 1010, 8378, 267, 2486, 543, 2509, 1010, 2197, 2875, 1272, 568, 11344, 1272, 1107, 2110, 1557, 1018, 616, 519, 11645, 540, 513, 2875, 3237, 281, 2495, 267, 5107, 267, 9021, 543, 11645, 540, 3237, 269, 26930, 568, 513, 1360, 1898, 16023, 540, 1915, 621, 713, 1557, 593, 5539, 649, 786, 2119, 547, 5581, 1018, 621, 568, 543, 1018, 649, 991, 621, 585, 269, 1215, 798, 1775, 2328, 606, 1557, 593, 5539, 9337, 22599, 740, 676, 8239, 569, 2328, 609, 6015, 8239, 569, 781, 1863, 1603, 813, 2306, 2386, 3388, 596, 1826, 568, 2653, 547, 1224, 267, 3006, 1491, 5683, 2110, 2275, 7491, 610, 2147, 9073, 2995, 513, 1483, 1650, 827, 513, 942, 950, 596, 13948, 8959, 547, 581, 3743, 267, 1603, 3210, 3594, 1450, 1761, 1053, 547, 1459, 741, 1378, 1448, 540, 2070, 1759, 593, 2123, 1995, 11783, 3503, 606, 1557, 593, 11645, 543, 9021, 540, 1053, 2376, 3838, 676, 1053, 849, 723, 513, 1390, 5539, 547, 948, 856, 519, 1447, 26752, 2818, 540, 519, 2486, 676, 1259, 540, 1514, 960, 789, 666, 2709, 1390, 2533, 676, 3450, 2192, 30185, 1453, 540, 7404, 14252, 267, 476, 31982, 1913, 1557, 593, 1053, 543, 9015, 1557, 593, 519, 11645, 540, 513, 2875, 269, 0, 14549, 2186, 3112, 7703, 1360, 1454, 4641, 1775, 2648, 2469, 547, 5939, 593, 31914, 599, 6640, 602, 1058, 581, 519, 2219, 1184, 540, 1022, 22344, 269, 590, 10176, 1495, 1954, 644, 267, 513, 28772, 6048, 267, 2564, 4387, 267, 18673, 543, 4651, 540, 25164, 4519, 267, 568, 3622, 6444, 607, 835, 540, 519, 1034, 9565, 543, 22265, 17024, 540, 519, 14206, 2540, 269, 901, 3296, 540, 519, 6648, 4401, 1227, 10941, 525, 519, 6177, 781, 3409, 602, 30768, 3112, 7703, 1360, 1454, 4641, 281, 621, 568, 1100, 3476, 547, 7703, 4641, 538, 519, 2631, 540, 1412, 1729, 22036, 262, 4641, 621, 568, 547, 7703, 4641, 538, 519, 2631, 540, 1412, 1729, 2844, 267, 1489, 267, 1711, 262, 4641, 563, 24109, 753, 3112, 7703, 519, 4641, 540, 713, 865, 789, 2661, 538, 513, 5326, 1158, 1141, 789, 616, 3025, 781, 5869, 267, 3025, 781, 3659, 543, 2877, 29872, 766, 610, 24158, 4960, 476, 279, 1296, 3516, 476, 272, 269, 898, 1223, 581, 1732, 2854, 910, 855, 621, 568, 4277, 543, 814, 513, 2603, 540, 1360, 1434, 6138, 1315, 7326, 10530, 910, 543, 519, 3844, 5048, 540, 519, 2956, 540, 5168, 543, 4641, 616, 1360, 1271, 547, 8103, 269, 9966, 1678, 785, 3112, 7703, 1360, 1454, 4641, 267, 2523, 827, 28302, 5061, 875, 666, 513, 476, 1960, 279, 268, 1220, 278, 2518, 2333, 540, 1566, 1756, 2504, 540, 476, 9083, 260, 543, 25933, 2504, 540, 476, 736, 260, 581, 8308, 4330, 607, 563, 14549, 2186, 3112, 7703, 1360, 1454, 4641, 630, 27917, 14415, 1115, 676, 512, 338, 1714, 3999, 264, 512, 338, 1714, 3999, 781, 13085, 6965, 568, 1759, 5097, 593, 1010, 11579, 7992, 5813, 883, 519, 9808, 14923, 540, 1480, 2470, 269, 570, 11548, 609, 513, 4087, 596, 666, 1039, 4087, 1344, 547, 707, 17408, 1115, 267, 971, 607, 707, 2749, 610, 5730, 4087, 267, 689, 519, 1357, 543, 3842, 3791, 18407, 3156, 269, 2107, 621, 1522, 581, 602, 812, 3112, 7703, 1454, 4641, 630, 628, 15106, 267, 476, 3192, 279, 267, 533, 1704, 264, 621, 849, 4667, 602, 646, 568, 6031, 602, 1480, 7919, 616, 606, 6364, 540, 2067, 5542, 5310, 15470, 5156, 538, 4720, 607, 513, 1184, 22041, 547, 5555, 1711, 513, 811, 10995, 543, 20009, 1272, 563, 5804, 14646, 12457, 781, 519, 16563, 540, 519, 2831, 281, 593, 3356, 543, 824, 2413, 14868, 281, 538, 519, 1007, 16851, 621, 729, 5156, 602, 7963, 1223, 1711, 5763, 281, 22937, 2614, 2724, 547, 2614, 1004, 543, 4166, 782, 1131, 581, 3638, 269, 634, 1480, 2797, 5114, 547, 2916, 3186, 8494, 1436, 1590, 581, 16190, 543, 6157, 786, 581, 11213, 543, 1100, 2339, 875, 1454, 649, 15093, 267, 649, 666, 1152, 11574, 543, 3082, 547, 8337, 910, 711, 4368, 621, 713, 568, 513, 29695, 3932, 269, 4014, 1480, 2186, 3112, 7703, 1360, 1454, 4641, 32737, 646, 20475, 519, 1448, 267, 1101, 538, 12638, 538, 519, 26720, 267, 543, 1287, 538, 2185, 14415, 1115, 9789, 3483, 540, 513, 2528, 568, 547, 11677, 602, 21792, 3364, 1572, 2283, 2225, 281, 519, 4356, 540, 1318, 4743, 269, 1677, 11411, 721, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 753, 264, 892, 693, 5464, 14147, 18625, 538, 6552, 2127, 267, 1352, 1767, 269, 968, 2171, 2461, 711, 1434, 693, 7421, 1804, 5666, 540, 1239, 269, 14464, 4987, 666, 798, 602, 3034, 12385, 628, 5362, 1234, 525, 267, 8689, 540, 519, 29336, 4741, 585, 5274, 7126, 8889, 693, 12370, 2160, 267, 1767, 519, 4028, 4473, 540, 5841, 4987, 814, 23185, 513, 7521, 936, 2436, 519, 2029, 786, 5555, 1020, 513, 1106, 540, 9637, 13380, 547, 3425, 563, 3891, 1767, 513, 1883, 1448, 538, 519, 7521, 729, 2436, 971, 2029, 1058, 581, 13886, 547, 2924, 10150, 676, 3425, 267, 971, 607, 519, 5191, 547, 6430, 1018, 1826, 540, 960, 547, 798, 563, 22154, 729, 513, 4241, 942, 585, 15806, 2223, 1234, 525, 1767, 269, 968, 1103, 519, 2796, 540, 5841, 4987, 267, 891, 2055, 1831, 1256, 811, 10296, 1848, 0, 6124, 10215, 3744, 723, 6659, 519, 10332, 1377, 585, 513, 9649, 18962, 1107, 799, 568, 519, 2707, 540, 3047, 779, 4102, 20349, 538, 519, 2250, 476, 276, 267, 1822, 1296, 563, 10481, 334, 15187, 3081, 621, 814, 9571, 5176, 476, 10384, 1507, 16767, 9944, 8235, 570, 879, 17763, 267, 519, 28188, 2813, 676, 519, 570, 879, 17763, 26439, 334, 543, 1715, 10215, 779, 4102, 10720, 563, 2005, 1767, 538, 513, 3948, 602, 621, 6659, 519, 18962, 10332, 1377, 547, 476, 272, 689, 476, 271, 563, 763, 18962, 9963, 1062, 568, 1759, 593, 3670, 2157, 540, 15583, 566, 540, 519, 19727, 267, 855, 2983, 517, 564, 4967, 602, 26706, 666, 2049, 693, 1022, 1377, 543, 519, 2157, 949, 711, 1847, 538, 5311, 269, 1317, 2534, 666, 1689, 6385, 563, 763, 570, 879, 17763, 18962, 2063, 30192, 827, 476, 272, 267, 8517, 1296, 3516, 267, 950, 621, 884, 14954, 811, 982, 476, 1911, 12945, 12919, 540, 1570, 883, 519, 5790, 1472, 476, 1220, 7460, 563, 763, 20349, 10969, 730, 513, 1804, 1858, 540, 1715, 10215, 779, 3844, 3345, 6816, 538, 840, 25993, 3110, 2787, 563, 10481, 517, 564, 1767, 519, 4102, 20349, 593, 519, 4541, 538, 519, 2063, 476, 276, 267, 1822, 1296, 563, 763, 8116, 3773, 602, 621, 729, 519, 1101, 942, 621, 1185, 6659, 519, 570, 879, 17763, 26439, 334, 10332, 1377, 547, 476, 272, 267, 855, 621, 729, 711, 519, 1101, 942, 972, 1185, 1044, 19727, 543, 1767, 519, 7872, 540, 606, 20349, 7283, 269, 1360, 1970, 563, 24618, 638, 1389, 2048, 16673, 3136, 20371, 2005, 1767, 281, 968, 24618, 638, 1389, 543, 22775, 725, 616, 2693, 547, 3136, 538, 519, 4947, 4374, 610, 3275, 3034, 6124, 10215, 6013, 593, 519, 10465, 1063, 519, 7414, 543, 8241, 29684, 10824, 267, 543, 814, 4810, 1082, 16767, 543, 22747, 563, 1103, 476, 1001, 280, 267, 6519, 6816, 267, 1634, 607, 1733, 10440, 926, 267, 10393, 30192, 543, 884, 14954, 9252, 543, 11849, 267, 11318, 476, 2420, 1004, 543, 12517, 3614, 1005, 476, 1839, 267, 6140, 14666, 269, 0, 27908, 27812, 8397, 11848, 4262, 4672, 10411, 15297, 798, 711, 30599, 4011, 622, 15372, 626, 6811, 540, 13778, 4262, 4672, 9271, 538, 2413, 2053, 563, 8794, 4262, 4672, 24750, 518, 21285, 630, 7709, 1839, 1070, 3744, 630, 298, 565, 1782, 1696, 620, 1421, 476, 1708, 274, 264, 723, 5462, 602, 519, 4262, 4672, 6708, 538, 519, 6997, 30786, 7256, 729, 5176, 15534, 2429, 519, 1032, 630, 29148, 547, 476, 271, 269, 271, 13179, 326, 17320, 307, 8016, 264, 585, 1454, 540, 519, 2063, 476, 280, 267, 1822, 1296, 269, 634, 4262, 4672, 729, 9803, 630, 349, 271, 269, 272, 13179, 326, 17320, 307, 8016, 264, 476, 280, 267, 4968, 547, 476, 279, 267, 12010, 1296, 3516, 267, 543, 1970, 630, 349, 271, 269, 275, 13179, 326, 17320, 307, 8016, 264, 689, 476, 278, 267, 4335, 547, 476, 275, 267, 1822, 1296, 3516, 563, 1103, 4334, 267, 2413, 4262, 4672, 1631, 16569, 476, 2537, 4374, 829, 1032, 543, 568, 519, 5207, 538, 519, 2063, 476, 280, 267, 1822, 266, 1296, 630, 349, 272, 269, 277, 13179, 326, 17320, 307, 8016, 1916, 15862, 11905, 281, 30709, 1782, 1696, 620, 1421, 476, 1708, 274, 454, 763, 3668, 540, 513, 7678, 538, 4262, 4672, 2530, 2066, 519, 6997, 30786, 7256, 568, 5812, 609, 7422, 602, 1397, 519, 3148, 814, 711, 3636, 539, 538, 519, 2063, 476, 3583, 1296, 630, 312, 1662, 599, 2801, 341, 543, 700, 18344, 267, 476, 1001, 278, 1916, 15862, 11905, 281, 962, 1662, 599, 2801, 341, 543, 700, 18344, 267, 476, 1001, 278, 454, 8448, 3744, 630, 310, 340, 1696, 620, 1421, 476, 1708, 271, 264, 5462, 602, 689, 827, 476, 1691, 267, 1822, 547, 476, 279, 267, 1822, 1296, 3516, 267, 950, 2910, 273, 19388, 1229, 2282, 476, 7742, 28327, 267, 519, 2142, 879, 3228, 7256, 630, 6635, 8157, 264, 729, 968, 333, 22022, 4672, 1863, 2429, 519, 1032, 892, 630, 283, 271, 269, 273, 623, 7709, 1839, 264, 543, 9625, 275, 9180, 15911, 982, 2221, 538, 5162, 563, 4415, 2413, 630, 2735, 279, 268, 1220, 278, 264, 2910, 273, 693, 9625, 6110, 28327, 267, 713, 3148, 568, 476, 3583, 268, 1911, 260, 4672, 2275, 2642, 630, 285, 271, 269, 279, 623, 7709, 1839, 264, 585, 476, 1015, 547, 476, 1556, 3275, 829, 1032, 563, 15862, 11905, 281, 18961, 1696, 620, 1421, 476, 1708, 271, 454, 306, 1998, 321, 731, 4262, 4672, 814, 9450, 547, 922, 5207, 6708, 540, 519, 4591, 18152, 630, 1556, 267, 10384, 1296, 3516, 547, 1459, 264, 1282, 519, 2063, 476, 4335, 547, 476, 10384, 1296, 630, 5472, 320, 691, 1696, 620, 1421, 476, 1708, 271, 1916, 763, 4591, 18152, 779, 4262, 4672, 5021, 1175, 2919, 1282, 2413, 2053, 267, 607, 519, 4589, 4063, 972, 814, 1044, 606, 968, 27463, 848, 538, 7379, 1839, 9830, 1310, 524, 269, 476, 271, 269, 278, 22144, 271, 269, 273, 1608, 269, 25697, 22680, 267, 609, 513, 5021, 538, 519, 2413, 21439, 3034, 15862, 11905, 281, 2353, 320, 691, 1696, 620, 1421, 476, 1708, 271, 454, 288, 1353, 3135, 22583, 540, 590, 1998, 321, 731, 267, 3744, 630, 27778, 823, 1696, 620, 1421, 476, 1708, 271, 264, 1265, 2221, 779, 4262, 2627, 5210, 540, 968, 283, 271, 9180, 892, 616, 693, 2547, 476, 275, 9180, 21617, 982, 789, 941, 1175, 513, 1906, 8536, 1296, 3516, 267, 950, 519, 11848, 729, 4262, 4672, 1863, 585, 782, 855, 968, 320, 7008, 540, 3275, 892, 1169, 1032, 563, 9213, 779, 4262, 4672, 10865, 8653, 630, 349, 1556, 3275, 829, 1032, 264, 543, 4832, 4262, 2627, 5210, 630, 14706, 5232, 17622, 264, 616, 1851, 519, 5207, 543, 9803, 630, 27920, 1947, 264, 540, 519, 4591, 18152, 269, 0, 1432, 568, 645, 2752, 293, 888, 763, 2165, 645, 2752, 293, 2501, 689, 519, 2296, 834, 289, 8344, 30785, 21984, 5253, 10791, 257, 543, 1797, 538, 4436, 834, 289, 8344, 267, 2249, 29003, 6151, 1426, 8487, 1607, 568, 513, 6151, 4244, 2732, 602, 729, 2919, 547, 1683, 5243, 609, 513, 9168, 1753, 2275, 10541, 2732, 602, 5161, 540, 6151, 4887, 5779, 543, 6151, 5779, 7633, 267, 5388, 543, 5613, 267, 543, 23352, 782, 9268, 3536, 563, 1432, 568, 645, 2752, 293, 1426, 1500, 540, 888, 763, 5227, 4808, 585, 645, 2752, 293, 1426, 2874, 540, 476, 3583, 260, 4887, 5779, 267, 476, 1015, 260, 6151, 17580, 7633, 267, 476, 278, 260, 5388, 267, 476, 276, 260, 6797, 267, 476, 276, 4939, 824, 5728, 800, 8219, 267, 476, 273, 260, 5452, 610, 10808, 543, 476, 272, 260, 4829, 563, 268, 26298, 5779, 630, 3583, 260, 994, 289, 2752, 293, 1426, 5161, 540, 6151, 4887, 5779, 547, 1683, 1898, 3940, 267, 11254, 7408, 543, 1216, 30320, 8324, 269, 898, 568, 5227, 602, 476, 3583, 260, 540, 2698, 3232, 6981, 2097, 689, 4887, 5779, 269, 901, 1281, 711, 1611, 267, 2705, 267, 547, 3049, 519, 2915, 14311, 609, 4887, 5779, 267, 855, 849, 609, 15459, 3170, 543, 2295, 4887, 5779, 563, 268, 21984, 17580, 7633, 630, 1015, 260, 994, 25413, 267, 6151, 17580, 7633, 616, 606, 1271, 851, 540, 519, 645, 2752, 293, 2732, 547, 1683, 1898, 7513, 267, 16903, 543, 824, 1898, 5567, 563, 268, 29641, 630, 278, 260, 994, 309, 1122, 564, 1963, 616, 3730, 5820, 547, 1683, 1898, 5567, 543, 3730, 20239, 12950, 338, 269, 29641, 616, 3730, 538, 5870, 519, 1898, 9422, 2115, 585, 5243, 563, 268, 20506, 630, 276, 260, 994, 763, 6797, 568, 1776, 1271, 5057, 602, 2488, 1898, 3170, 30320, 6171, 589, 543, 1216, 30320, 8324, 269, 4033, 5728, 800, 8219, 971, 607, 519, 8459, 849, 1683, 3730, 5820, 547, 1683, 1898, 6886, 543, 1216, 30320, 8324, 563, 268, 5452, 1299, 18041, 282, 715, 7491, 630, 273, 260, 994, 305, 1177, 5452, 543, 10808, 616, 3730, 5820, 602, 1683, 519, 645, 2752, 293, 3049, 609, 1898, 6886, 267, 9761, 7408, 543, 3170, 30320, 8324, 563, 268, 22500, 630, 272, 260, 994, 293, 8816, 3568, 3730, 5820, 543, 2488, 14434, 267, 855, 568, 10480, 538, 1507, 5666, 1813, 547, 922, 1164, 4006, 1543, 563, 19119, 540, 645, 2752, 293, 454, 18933, 26677, 547, 645, 2752, 293, 585, 707, 2915, 568, 835, 540, 519, 1655, 3664, 596, 666, 1118, 585, 707, 1093, 5255, 256, 634, 6151, 1426, 2732, 585, 5243, 3091, 5383, 267, 607, 741, 11937, 1705, 711, 3548, 5010, 562, 756, 7632, 543, 27574, 4620, 1426, 2901, 269, 2368, 540, 519, 5383, 693, 513, 16145, 912, 268, 674, 3305, 22454, 543, 1732, 12536, 454, 299, 18612, 22454, 538, 5243, 666, 581, 3833, 30414, 910, 2523, 952, 596, 723, 547, 2973, 621, 909, 1169, 1554, 269, 645, 2752, 293, 849, 7125, 585, 606, 2949, 4824, 12536, 1510, 519, 9362, 602, 2049, 538, 2915, 1426, 689, 519, 666, 610, 16152, 563, 268, 14568, 10359, 543, 8902, 2960, 454, 289, 2752, 293, 3947, 5243, 8902, 2960, 543, 513, 8902, 10359, 676, 4628, 5466, 741, 9422, 2115, 269, 1411, 1810, 1405, 723, 547, 1039, 1022, 3606, 9360, 563, 268, 3143, 811, 11959, 454, 12441, 596, 917, 602, 10568, 543, 8970, 616, 519, 1034, 1271, 1426, 23480, 538, 5243, 286, 1635, 14874, 891, 689, 707, 2732, 267, 972, 568, 1100, 3476, 1022, 14711, 12416, 610, 18915, 12014, 585, 11959, 563, 268, 13245, 267, 3043, 4522, 454, 289, 2752, 293, 5849, 8902, 4522, 543, 14779, 269, 14068, 7362, 786, 849, 979, 2476, 563, 268, 2859, 1648, 454, 5970, 596, 2479, 1185, 519, 4743, 602, 707, 2915, 3274, 814, 1100, 7287, 543, 1648, 286, 1548, 707, 2915, 22655, 814, 513, 2101, 1764, 593, 922, 2623, 543, 1648, 2157, 269, 2961, 8510, 6233, 1336, 538, 16152, 666, 2285, 707, 2915, 513, 2110, 3856, 1648, 5818, 267, 855, 646, 3513, 4166, 1745, 13110, 1586, 563, 268, 16237, 6533, 539, 21210, 3590, 454, 27288, 5243, 543, 20384, 3100, 547, 723, 7864, 10108, 543, 1072, 2042, 1317, 6151, 1426, 18791, 741, 4761, 1949, 269, 645, 2752, 293, 568, 849, 1164, 538, 9761, 7408, 543, 824, 1271, 5567, 602, 5818, 519, 4761, 1062, 563, 268, 16473, 532, 12128, 543, 1488, 9374, 454, 1320, 1157, 518, 5243, 616, 811, 12155, 547, 3987, 543, 12263, 269, 1635, 1904, 532, 585, 6151, 8023, 267, 596, 786, 7413, 519, 7872, 540, 3987, 676, 7303, 3586, 4679, 538, 1973, 4006, 269, 634, 4389, 4960, 540, 12982, 2175, 849, 2337, 2061, 12263, 269, 0, 2005, 949, 581, 14845, 585, 1082, 1004, 602, 21453, 269, 1548, 568, 519, 3017, 1063, 27046, 543, 27046, 22596, 286, 5221, 621, 779, 28113, 607, 1134, 269, 1809, 538, 1249, 950, 6158, 827, 28113, 269, 15394, 4016, 547, 2898, 28113, 269, 1656, 796, 15263, 539, 267, 1034, 1419, 1031, 607, 3662, 3049, 269, 2107, 946, 538, 519, 13184, 2872, 269, 1809, 4016, 547, 28113, 602, 723, 1044, 2666, 610, 9268, 269, 2334, 666, 581, 3434, 1426, 3533, 538, 513, 2339, 540, 3764, 269, 1284, 1419, 3548, 27046, 22596, 538, 519, 1106, 540, 23611, 267, 1039, 3905, 1216, 267, 610, 1039, 3636, 5144, 585, 14254, 269, 898, 568, 2571, 543, 30861, 2147, 547, 11188, 16466, 563, 2252, 596, 1376, 547, 1205, 19252, 540, 519, 1482, 2025, 23611, 269, 538, 519, 6640, 855, 1869, 1616, 513, 2241, 14254, 2672, 3386, 585, 554, 755, 548, 543, 11861, 548, 942, 267, 2653, 547, 6445, 267, 2653, 593, 519, 7181, 543, 1434, 585, 1072, 269, 1284, 6799, 27046, 22596, 267, 513, 1434, 4324, 689, 28113, 602, 786, 948, 707, 14254, 1100, 3476, 27865, 517, 748, 269, 1809, 772, 293, 5723, 4953, 875, 568, 1434, 585, 1072, 286, 2913, 779, 1246, 713, 2376, 563, 302, 520, 22596, 5161, 540, 28113, 602, 723, 1044, 9268 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1911, 568, 5078, 952, 596, 1616, 1279, 2165, 11191, 609, 1970, 8856, 780, 24038, 476, 274, 454, 272, 476, 5655, 2798, 5788, 476, 274, 1296, 3516, 692, 296, 946, 13735, 1448, 972, 910, 585, 1383, 267, 1310, 476, 1015, 23200, 267, 519, 9115, 540, 519, 5044, 616, 1384, 314, 15886, 1789, 269, 28873, 271, 3393, 6434, 275, 7906, 267, 476, 7597, 269, 4281, 276, 4281, 273, 280, 4649, 8660, 277, 1428, 267, 476, 271, 269, 4572, 5881, 272, 24241, 15686, 15886, 275, 267, 476, 280, 269, 7176, 278, 9083, 32133, 13923, 26951, 324, 268, 4962, 267, 476, 278, 269, 13970, 28906, 6507, 274, 4366, 280, 271, 4510, 324, 268, 5400, 6540, 24038, 476, 275, 454, 274, 476, 4029, 1448, 5788, 476, 274, 1296, 3516, 692, 322, 944, 1862, 594, 729, 16207, 1055, 676, 1210, 476, 1911, 330, 1376, 3688, 594, 7058, 780, 297, 4528, 602, 3096, 13735, 1448, 3079, 540, 4351, 1138, 15975, 1384, 630, 346, 1701, 272, 538, 335, 264, 2073, 269, 630, 11783, 3436, 346, 281, 257, 272, 538, 335, 264, 2999, 257, 271, 287, 281, 263, 271, 261, 346, 15311, 266, 272, 261, 346, 15311, 268, 273, 261, 346, 15311, 17983, 272, 287, 281, 263, 316, 2073, 269, 9041, 272, 263, 347, 269, 2073, 269, 476, 8079, 476, 2608, 1142, 7565, 317, 281, 4335, 271, 264, 567, 6902, 270, 476, 1911, 2073, 476, 271, 1269, 349, 2999, 281, 1948, 538, 335, 2340, 498, 490, 21735, 18077, 361, 23708, 23708, 23708, 21735, 18077, 494, 2340, 498, 480, 320, 18077, 480, 3583, 269, 5379, 278, 280, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 321, 18077, 480, 1015, 269, 15793, 272, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 322, 18077, 480, 1428, 269, 271, 4200, 278, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 323, 18077, 480, 274, 269, 4198, 10463, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 338, 18077, 480, 272, 269, 1911, 6872, 18077, 480, 2340, 498, 498, 21735, 18077, 368, 23708, 23708, 23708, 21735, 18077, 502, 476, 1377, 476, 272, 476, 272, 476, 1724, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 667, 821, 538, 16790, 31640, 4486, 609, 2182, 2275, 10757, 2418, 269, 24438, 3403, 786, 581, 3773, 538, 513, 3787, 269, 22478, 281, 3767, 609, 3403, 16163, 518, 269, 3807, 5299, 519, 3403, 5196, 519, 17157, 4580, 543, 2196, 519, 7097, 18452, 28701, 5899, 306, 5902, 263, 5141, 760, 4580, 267, 834, 333, 2580, 834, 337, 8442, 10753, 3591, 28701, 18452, 269, 7230, 913, 263, 272, 264, 20456, 28701, 5899, 306, 5902, 263, 19152, 269, 7230, 913, 263, 272, 1070, 834, 285, 2580, 29038, 8442, 10934, 28701, 15079, 31230, 267, 4939, 20456, 8160, 1314, 19340, 3890, 268, 272, 10934, 314, 2419, 664, 314, 288, 318, 19340, 14963, 28701, 20456, 314, 288, 318, 19340, 266, 272, 316, 10934, 314, 2419, 664, 314, 2419, 664, 8160, 1314, 19340, 3890, 14963, 28701, 20456, 314, 2419, 664, 8160, 1314, 19340, 3890, 316, 26162, 28701, 15079, 585, 1142, 267, 7412, 538, 18452, 2715, 590, 5902, 28701, 5899, 306, 5902, 263, 18118, 267, 834, 24333, 834, 834, 264, 26162, 314, 306, 5902, 314, 272, 14963, 28701, 590, 5902, 314, 273, 316, 7684, 2549, 870, 338, 28701, 15079, 585, 7392, 538, 26162, 2549, 870, 338, 314, 13911, 316, 28701, 476, 271, 2549, 870, 338, 314, 2419, 664, 314, 272, 14963, 28701, 476, 1911, 31230, 267, 4939, 10753, 3591, 2715, 585, 7392, 267, 2549, 870, 538, 2549, 870, 338, 2715, 2549, 870, 338, 314, 24961, 314, 13911, 14963, 6834, 2549, 870, 265, 305, 919, 314, 13911, 316, 2549, 870, 338, 314, 13911, 316, 28701, 2549, 870, 910, 2549, 870, 265, 305, 919, 314, 13911, 316, 7684, 7684, 585, 7392, 267, 2549, 870, 538, 2549, 870, 338, 4934, 1547, 284, 7392, 834, 281, 834, 18471, 263, 8649, 870, 267, 476, 273, 264, 834, 260, 333, 257, 15516, 326, 26213, 267, 4939, 4934, 476, 1377, 476, 272, 476, 273, 2798, 5788, 476, 274, 1296, 3516, 1280, 930, 2601, 594, 6415, 2348, 513, 2603, 540, 8373, 609, 713, 269, 1879, 513, 13540, 1232, 904, 883, 513, 8250, 13540, 267, 568, 972, 1100, 3476, 1022, 20276, 656, 540, 519, 4358, 13540, 538, 519, 3732, 286, 1924, 952, 519, 4358, 3732, 6368, 1232, 904, 1310, 476, 1911, 271, 7643, 540, 513, 476, 4335, 271, 29364, 3732, 267, 1131, 602, 1611, 513, 281, 476, 3199, 260, 568, 519, 3977, 286, 594, 1589, 594, 6415, 1175, 2348, 8373, 28277, 1250, 2634, 1472, 519, 4890, 1966, 269, 590, 13446, 952, 594, 6415, 513, 2370, 3500, 267, 713, 568, 1250, 1101, 3801, 693, 835, 540, 891, 269, 1377, 476, 273, 476, 272, 476, 272, 24314, 5403, 518, 272, 1448, 5788, 476, 274, 1296, 3516, 19850, 256, 594, 4312, 3773, 513, 2417, 6609, 5037, 547, 519, 4161, 2022, 269, 594, 4126, 621, 2337, 269, 594, 1174, 713, 568, 513, 9425, 7138, 1782, 1523, 950, 596, 1101, 5873, 621, 269, 594, 4312, 6045, 621, 519, 1259, 594, 3314, 621, 269, 1377, 476, 273, 910, 272, 2798, 5788, 476, 274, 1296, 3516, 6423, 1250, 2022, 269, 1377, 476, 272, 910, 280, 476, 11025, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 595, 267, 6029, 606, 19347, 11191, 538, 519, 12363, 1210, 966, 307, 1911, 543, 4888, 10485, 9101, 9479, 269, 21115, 839, 14653, 281, 5291, 2517, 328, 269, 19112, 584, 2593, 270, 278, 295, 752, 273, 8582, 26666, 1948, 514, 2850, 2999, 560, 323, 1470, 19544, 285, 1948, 514, 2850, 2999, 560, 323, 12221, 19544, 285, 1948, 514, 2850, 2999, 551, 4286, 19544, 285, 1785, 22140, 2715, 1347, 3009, 282, 5595, 25754, 282, 703, 1293, 282, 7684, 282, 1948, 3698, 710, 654, 2839, 8025, 476, 3199, 1948, 3698, 710, 16777, 20846, 476, 2412, 20704, 18082, 263, 560, 1192, 22140, 2608, 333, 16197, 328, 267, 703, 7643, 264, 2715, 703, 5536, 314, 310, 2839, 8025, 6012, 4047, 20846, 316, 815, 2715, 346, 271, 3686, 282, 1820, 325, 19629, 343, 272, 321, 314, 273, 297, 257, 5148, 12262, 32135, 5496, 585, 630, 842, 512, 815, 476, 271, 282, 512, 2999, 7643, 282, 512, 10030, 264, 2715, 585, 630, 842, 1775, 815, 476, 271, 282, 22140, 5157, 4940, 13892, 11203, 1412, 1412, 282, 1775, 10030, 264, 22140, 5157, 4940, 12248, 815, 476, 271, 282, 282, 1820, 325, 19629, 343, 272, 321, 314, 295, 260, 476, 276, 323, 1315, 4939, 476, 276, 323, 14826, 2580, 512, 1341, 476, 272, 267, 7643, 5148, 12262, 1847, 1283, 2451, 585, 630, 842, 586, 815, 476, 271, 282, 586, 2999, 16777, 20846, 282, 586, 10030, 264, 2715, 585, 630, 842, 1535, 815, 476, 271, 282, 1535, 2999, 654, 2839, 8025, 282, 1535, 10030, 264, 2715, 703, 2608, 335, 815, 1299, 4820, 2873, 20572, 6012, 344, 22049, 952, 630, 8681, 3890, 1315, 630, 29602, 264, 681, 13263, 318, 7246, 311, 2999, 22140, 314, 265, 335, 4940, 14433, 264, 30916, 335, 264, 10030, 282, 1820, 325, 19629, 343, 272, 321, 314, 271, 282, 260, 323, 332, 260, 322, 315, 343, 272, 321, 314, 332, 2580, 476, 4029, 1341, 2608, 335, 267, 22140, 314, 265, 335, 4940, 13892, 5148, 22140, 314, 265, 335, 4940, 12248, 10030, 282, 7684, 1820, 325, 19629, 333, 257, 5148, 7684, 1315, 265, 7179, 3349, 269, 2608, 270, 585, 630, 842, 1775, 815, 476, 271, 282, 22140, 5157, 4940, 13892, 11203, 1412, 1412, 282, 1775, 10030, 264, 1820, 325, 19629, 343, 272, 321, 314, 271, 282, 260, 323, 332, 260, 322, 315, 343, 272, 321, 314, 332, 281, 4939, 268, 1015, 323, 14826, 2580, 476, 4029, 1341, 1775, 267, 22140, 5157, 4940, 13892, 267, 22140, 5157, 4940, 12248, 5148, 7684, 7684, 703, 1292, 3890, 2715, 1315, 265, 3474, 572, 3403, 269, 2608, 270, 703, 7643, 282, 11571, 325, 2891, 260, 323, 14826, 2580, 1299, 572, 6948, 5148, 703, 562, 18196, 815, 476, 271, 282, 585, 630, 842, 524, 815, 535, 1326, 322, 263, 560, 19734, 5148, 524, 11203, 1412, 315, 333, 262, 282, 524, 815, 535, 1326, 322, 263, 560, 19734, 4297, 952, 630, 529, 10401, 6262, 4297, 562, 18196, 10030, 282, 1785, 22140, 22140, 314, 660, 4885, 1341, 476, 272, 22049, 585, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 18196, 282, 1775, 10030, 264, 11571, 325, 2891, 260, 322, 281, 4939, 331, 325, 14826, 2580, 1299, 333, 16197, 328, 5157, 4940, 13892, 267, 1299, 333, 16197, 328, 5157, 4940, 14433, 5148, 22140, 314, 660, 4885, 316, 815, 630, 560, 1192, 22140, 264, 346, 262, 1412, 348, 282, 12262, 2366, 514, 601, 18082, 3799, 16197, 328, 267, 7643, 5148, 2132, 476, 271, 282, 7684, 476, 1377, 476, 273, 476, 272, 476, 272, 24314, 5403, 518, 272, 1448, 5788, 476, 274, 1296, 3516, 2334, 5654, 2731, 7168, 267, 594, 899, 621, 256, 594, 8263, 4888, 10485, 9101, 9479, 616, 1175, 513, 1970, 7400, 10682, 585, 1945, 899, 1225, 4513, 286, 1377, 476, 274, 476, 272, 1448, 5788, 476, 274, 1296, 3516, 2859, 610, 1447, 267, 9811, 269, 1358, 1450, 552, 3052, 269, 4657, 4282, 543, 32215, 7990, 543, 23684, 3350, 269, 9504, 814, 513, 1434, 3349, 609, 3137, 269, 1377, 476, 274, 910, 280, 476, 10037, 1448, 5788, 476, 274, 1296, 3516, 2334, 781, 10416, 1018, 1225, 4513, 568, 3257, 267, 1498, 621, 849, 7125, 930, 13013, 10391, 3252, 585, 1978, 12363, 6354, 2827, 267, 899, 8380, 519, 12363, 538, 6151, 7154, 269, 4888, 10485, 9101, 9479, 4805, 5749, 1405, 2614, 547, 798, 1919, 899, 13214, 519, 12363, 2450, 269, 1377, 476, 272, 476, 273, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 3733, 25007, 3070, 269, 1948, 24425, 23591, 24800, 19841, 341, 6299, 344, 1948, 901, 3217, 5413, 540, 1079, 2081, 540, 1739, 519, 14255, 25771, 557, 1505, 910, 1948, 835, 1259, 10311, 11046, 1227, 543, 2141, 19765, 23660, 9178, 267, 519, 1948, 824, 3085, 1405, 543, 2141, 21467, 560, 23660, 9178, 269, 898, 11081, 519, 1948, 11191, 1900, 2450, 2394, 519, 5470, 538, 1169, 8167, 568, 2630, 513, 6378, 1948, 12939, 269, 2154, 1412, 333, 6783, 262, 11555, 12702, 7644, 3633, 318, 303, 3918, 290, 3041, 12778, 815, 476, 277, 1219, 18082, 318, 20657, 599, 318, 12294, 10734, 895, 263, 20657, 599, 318, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 9178, 318, 7798, 815, 715, 26161, 30419, 318, 3534, 263, 20657, 599, 318, 7798, 264, 17114, 815, 715, 26161, 30419, 318, 3534, 8443, 272, 316, 1341, 630, 314, 271, 316, 2608, 630, 20657, 599, 318, 7798, 32324, 910, 476, 272, 30727, 942, 815, 476, 271, 269, 271, 1900, 18045, 6745, 1307, 798, 1232, 904, 815, 17114, 2608, 9178, 318, 7798, 2608, 1900, 15481, 19670, 815, 715, 26161, 269, 15615, 263, 20657, 599, 318, 7798, 32324, 264, 19670, 314, 272, 907, 514, 5765, 32324, 268, 272, 316, 815, 1232, 904, 314, 271, 907, 514, 5765, 32324, 268, 273, 316, 17114, 815, 17114, 1341, 19670, 910, 1232, 904, 942, 6834, 1900, 15481, 1439, 17114, 30419, 19963, 1439, 1219, 18082, 318, 20657, 599, 318, 21639, 10734, 895, 263, 20657, 599, 318, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 17114, 815, 1496, 272, 316, 1341, 630, 314, 271, 316, 2608, 630, 20657, 599, 318, 7798, 32324, 910, 476, 272, 4297, 942, 815, 476, 271, 269, 271, 1900, 18045, 6745, 1307, 798, 19670, 815, 1496, 271, 316, 17114, 32324, 6745, 1307, 798, 1923, 328, 347, 17114, 5157, 316, 6834, 19670, 5157, 316, 19670, 5157, 266, 272, 316, 815, 17114, 5157, 316, 2608, 9178, 318, 7798, 5157, 316, 2608, 1900, 15481, 1439, 17114, 32324, 6745, 1307, 798, 1923, 328, 347, 17114, 5157, 316, 20699, 19670, 5157, 266, 272, 316, 1439, 942, 6834, 1900, 15481, 1439, 17114, 1439, 1219, 5173, 318, 20657, 599, 318, 7798, 263, 7798, 267, 1439, 22710, 264, 1900, 18045, 815, 476, 9083, 275, 1900, 15481, 815, 1439, 22710, 30419, 6958, 1315, 1900, 18045, 8520, 798, 5580, 318, 14310, 815, 18082, 318, 20657, 599, 318, 21639, 10734, 895, 263, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 2539, 318, 14310, 815, 18082, 318, 20657, 599, 318, 12294, 10734, 895, 263, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 3193, 318, 19587, 815, 5580, 318, 14310 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8173, 22322, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 1948, 22400, 2910, 14701, 28313, 912, 476, 1948, 567, 25956, 519, 8901, 10627, 1013, 768, 18807, 1780, 563, 476, 1948, 454, 476, 1948, 567, 1411, 949, 1265, 621, 3730, 547, 946, 519, 10627, 1013, 768, 4464, 1780, 596, 3097, 476, 1948, 567, 8045, 538, 670, 310, 1948, 275, 563, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 15848, 267, 546, 24472, 267, 546, 15883, 815, 7183, 267, 7183, 267, 7183, 454, 476, 15848, 267, 546, 24472, 267, 546, 15883, 284, 321, 520, 1013, 768, 318, 3724, 1189, 18828, 6745, 4920, 2821, 5560, 719, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 323, 719, 17482, 314, 271, 30297, 323, 719, 17482, 314, 273, 30297, 323, 719, 17482, 314, 274, 3910, 546, 719, 17482, 314, 272, 8079, 1070, 21461, 994, 476, 513, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 476, 715, 272, 284, 323, 719, 17482, 314, 271, 2639, 476, 595, 284, 323, 719, 17482, 314, 272, 2639, 476, 670, 284, 323, 719, 17482, 314, 273, 2639, 476, 654, 284, 323, 719, 17482, 314, 274, 2639, 476, 15848, 284, 12639, 6745, 4920, 2821, 5560, 343, 269, 31412, 9230, 301, 272, 267, 295, 267, 310, 267, 290, 24270, 263, 271, 267, 274, 267, 272, 267, 273, 4917, 476, 1948, 323, 719, 284, 12639, 6745, 4920, 2821, 5560, 719, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 323, 719, 17482, 314, 271, 30297, 323, 719, 17482, 314, 273, 30297, 323, 719, 17482, 314, 274, 3910, 546, 719, 17482, 314, 272, 28413, 3097, 22322, 476, 1948, 320, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 476, 1948, 343, 318, 1002, 284, 12639, 6745, 4920, 2821, 3287, 318, 1002, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 343, 318, 1002, 17482, 314, 271, 30297, 343, 318, 1002, 17482, 314, 273, 30297, 343, 318, 1002, 17482, 314, 274, 3910, 1535, 318, 1002, 17482, 314, 272, 28413, 476, 1948, 2745, 3287, 17482, 994, 476, 1948, 301, 272, 24210, 17482, 314, 271, 2639, 476, 1948, 290, 24210, 17482, 314, 272, 2639, 476, 1948, 295, 24210, 17482, 314, 273, 2639, 476, 1948, 310, 24210, 17482, 314, 274, 2639, 476, 1948, 343, 284, 12639, 6745, 4920, 2821, 3287, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 343, 17482, 314, 271, 30297, 343, 17482, 314, 273, 30297, 343, 17482, 314, 274, 3910, 1535, 17482, 314, 272, 28413, 476, 1948, 323, 15883, 284, 323, 719, 27904, 263, 9471, 284, 271, 994, 476, 1948, 323, 24472, 14352, 323, 719, 20080, 318, 1002, 1040, 8999, 263, 9471, 284, 271, 994, 476, 1948, 11459, 318, 1002, 284, 323, 719, 265, 24472, 454, 476, 1948, 6767, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 454, 476, 1948, 27219, 14352, 343, 1606, 2217, 318, 11743, 12684, 11459, 318, 1002, 454, 476, 1948, 26501, 284, 8987, 272, 14370, 338, 2217, 318, 12534, 266, 10134, 4297, 265, 27219, 454, 476, 1948, 1372, 284, 271, 269, 276, 265, 9230, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 12684, 26501, 454, 476, 1948, 323, 12534, 284, 1372, 27904, 263, 9471, 284, 271, 994, 476, 1948, 323, 14153, 15871, 6767, 27904, 263, 9471, 284, 271, 9984, 323, 12534, 16732, 273, 24474, 17482, 314, 271, 8079, 265, 9230, 343, 1606, 2217, 318, 11743, 1040, 8999, 263, 9471, 284, 271, 4917, 476, 1948, 11459, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 23444, 273, 16732, 343, 1606, 2217, 318, 11743, 8358, 343, 17482, 314, 271, 8079, 265, 323, 12534, 266, 323, 14153, 24474, 17482, 314, 271, 2639, 476, 1948, 11459, 284, 12639, 6745, 4920, 2821, 5560, 343, 269, 31412, 18217, 272, 267, 295, 267, 310, 267, 290, 32140, 271, 267, 274, 267, 272, 267, 273, 4917, 476, 1948, 11459, 284, 12639, 6745, 4920, 2821, 3287, 269, 31412, 9230, 301, 272, 267, 295, 267, 310, 267, 290, 24270, 263, 271, 267, 274, 267, 272, 267, 273, 4917, 3097, 476, 1948, 2745, 5560, 343, 17482, 994, 476, 1948, 321, 2255, 318, 3724, 1189, 5560, 719, 22698, 5995, 994, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 1948, 13673, 291, 22400, 2910, 14701, 28313, 454, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 8528, 476, 2132, 15848, 267, 546, 24472, 267, 546, 15883, 454, 3698, 10627, 1013, 768, 318, 3724, 1189, 5560, 719, 267, 21461, 2187, 825, 8173, 825, 7982, 1189, 1780, 585, 16801, 3339, 1436, 563, 8931, 825, 1280, 713, 6388, 267, 596, 1058, 2328, 856, 513, 19106, 3113, 585, 454, 825, 16801, 3339, 1436, 593, 1957, 543, 29608, 27080, 18807, 998, 454, 825, 13591, 9136, 563, 8931, 825, 18452, 338, 912, 825, 910, 546, 719, 281, 5455, 6894, 16755, 267, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 21461, 281, 24438, 540, 10827, 919, 689, 10627, 1013, 768, 318, 3453, 563, 8931, 825, 16849, 513, 24042, 540, 912, 825, 910, 15848, 281, 27240, 1304, 609, 2463, 547, 11378, 1535, 267, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 546, 24472, 281, 27240, 1304, 609, 2463, 547, 4336, 9936, 18325, 267, 540, 3337, 630, 291, 267, 994, 825, 910, 546, 15883, 281, 27240, 1304, 609, 2463, 547, 6521, 9936, 12498, 267, 540, 3337, 630, 291, 267, 994, 825, 8173, 825, 15848, 267, 546, 24472, 267, 546, 15883, 815, 7183, 267, 7183, 267, 7183, 22562, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 1948, 22400, 2910, 14701, 28313, 912, 825, 1948, 567, 25956, 519, 10627, 1013, 768, 18807, 1780, 267, 12719, 15848, 267, 546, 24472, 267, 543, 546, 15883, 563, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 513, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 825, 546, 15883, 284, 323, 719, 27904, 263, 9471, 284, 271, 994, 825, 546, 24472, 14352, 323, 719, 20080, 318, 1002, 1040, 8999, 263, 9471, 284, 271, 994, 825, 15848, 318, 1002, 284, 323, 719, 265, 24472, 454, 825, 13005, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 454, 825, 24563, 14352, 343, 1606, 2217, 318, 11743, 12684, 11459, 318, 1002, 454, 825, 546, 322, 284, 8987, 272, 14370, 338, 2217, 318, 12534, 266, 10134, 4297, 265, 27219, 454, 825, 632, 284, 271, 269, 276, 265, 9230, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 12684, 26501, 454, 825, 546, 12534, 284, 1372, 27904, 263, 9471, 284, 271, 994, 825, 546, 14153, 15871, 6767, 27904, 263, 9471, 284, 271, 9984, 323, 12534, 16732, 273, 24474, 17482, 314, 271, 8079, 265, 9230, 343, 1606, 2217, 318, 11743, 1040, 8999, 263, 9471, 284, 271, 4917, 825, 15848, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 23444, 273, 16732, 343, 1606, 2217, 318, 11743, 8358, 343, 17482, 314, 271, 8079, 265, 323, 12534, 266, 323, 14153, 24474, 17482, 314, 271, 2639, 8931, 8931, 8931, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 1948, 13673, 291, 22400, 2910, 14701, 28313, 454, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 8931, 825, 2132, 15848, 267, 546, 24472, 267, 546, 15883, 454, 3698, 10627, 1013, 768, 318, 3453, 3287, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 2187, 825, 8173, 825, 28644, 1780, 585, 16801, 3339, 1436, 563, 8931, 825, 4438, 2866, 519, 3732, 1611, 543, 630, 15635, 8091, 539, 264, 3732, 13065, 616, 454, 825, 17223, 689, 1295, 756, 2255, 7194, 543, 1031, 547, 3339, 1125, 519, 19670, 1239, 563, 825, 4438, 2866, 649, 849, 1832, 606, 28354, 9178, 532, 4881, 1611, 540, 519, 1611, 454, 825, 543, 13065, 540, 1142, 4183, 267, 543, 891, 25939, 616, 1031, 547, 3339, 1125, 1239, 454, 825, 693, 1449, 6066, 780, 825, 2311, 1142, 4626, 652, 788, 649, 9337, 519, 4881, 25939, 585, 1611, 543, 13065, 1210, 454, 825, 606, 12825, 9178, 1759, 593, 519, 11610, 9936, 1384, 825, 4881, 318, 11743, 815, 11610, 2608, 4881, 318, 11743, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 11743, 454, 825, 4881, 318, 12534, 815, 11610, 2608, 4881, 318, 12534, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 12534, 692, 825, 8074, 602, 519, 16801, 3339, 1436, 1957, 5267, 513, 1114, 1449, 6066, 454, 825, 2623, 281, 789, 12337, 3732, 1611, 543, 13065, 585, 1142, 4183, 1210, 513, 454, 825, 1804, 1297, 540, 2866, 2592, 2864, 982, 1210, 513, 4881, 3328, 269, 1280, 454, 825, 713, 6388, 649, 723, 6074, 547, 946, 4881, 25939, 3079, 2094, 454, 825, 789, 798, 711, 2154, 606, 3606, 16759, 1900, 282, 519, 23290, 278, 6388, 454, 825, 540, 16801, 3339, 1436, 849, 3096, 4881, 25939, 780, 825, 18452, 912, 825, 910, 1535, 281, 4578, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 18325, 281, 17361, 9936, 540, 3337, 630, 291, 267, 994, 825, 910, 12498, 281, 29196, 533, 732, 31461, 540, 3337, 630, 291, 267, 994, 825, 910, 536, 333, 318, 12407, 281, 9218, 609, 519, 1739, 10569, 912, 8587, 910, 7154, 281, 1412, 30221, 262, 610, 1412, 11687, 262, 282, 2838, 454, 8587, 910, 552, 1186, 281, 19693, 585, 25948, 6617, 454, 8587, 910, 11610, 281, 19693, 585, 4881, 1611, 1315, 13065, 563, 8587, 910, 4881, 318, 11743, 281, 26275, 540, 3337, 630, 291, 267, 264, 4758, 4881, 1611, 540, 2934, 454, 8587, 910, 4881, 318, 12534, 26275, 540, 3337, 630, 291, 267, 264, 4758, 4881, 13065, 540, 2934, 692, 825, 16849, 513, 24042, 540, 912, 825, 910, 856, 281, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 21461, 281, 589, 24042, 540, 2418, 2877, 538, 519, 18807, 1780, 454, 825, 8173, 825, 7154, 815, 536, 333, 318, 12407, 9131, 332, 1712, 23300, 825, 552, 1186, 815, 536, 333, 318, 12407, 10947, 3488, 10134, 3299, 476, 272, 324, 268, 276, 994, 825, 11610, 815, 536, 333, 318, 12407, 10947, 3488, 332, 30291, 636, 3299, 476, 271, 269, 280, 2020, 825, 715, 267, 667, 815, 1535, 17482, 454, 825, 4881, 318, 11743, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 11743, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 4917, 825, 4881, 318, 12534, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 12534, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 11723, 825, 856, 267, 21461, 815, 7183, 267, 7183, 454, 825, 952, 7154, 2652, 1412, 30221, 12466, 13872, 1038, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 1038, 1948, 22400, 2910, 14701, 28313, 912, 1038, 1948, 567, 589, 1906, 3268, 1934, 912, 1038, 1948, 672, 630, 272, 264, 12433, 519, 4881, 1611, 543, 13065, 540, 519, 1295, 756, 2255, 563, 1038, 1948, 672, 630, 273, 264, 16453, 1125, 519, 1437, 725, 609, 519, 4881, 1611, 543, 13065, 563, 1038, 1948, 672, 630, 274, 264, 17361, 543, 6521, 519, 28348, 1437, 725, 269, 476, 15188, 713, 454, 1038, 1948, 1363, 607, 519, 4756, 1412, 719, 7055, 1038, 1948, 672, 630, 275, 264, 15188, 1022, 4632, 596, 949, 991, 585, 519, 18807, 1780, 538, 454, 1038, 1948, 1363, 519, 1412, 322, 5995, 262, 4756, 563, 1038, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 1038, 10917, 13448, 24210, 454, 1038, 3732, 318, 11743, 284, 12639, 32557, 3287, 267, 9471, 284, 271, 994, 1038, 3732, 318, 12534, 284, 12639, 269, 12534, 3287, 267, 9471, 284, 271, 994, 1038, 4881, 318, 11743, 815, 11610, 2608, 4881, 318, 11743, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 11743, 454, 1038, 4881, 318, 12534, 815, 11610, 2608, 4881, 318, 12534, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 12534, 454, 1038, 513, 14352, 343, 1606, 2217, 318, 11743, 994, 1038, 552, 284, 338, 2217, 318, 12534, 266, 10134, 454, 1038, 524, 284, 12639, 28460, 16216, 994, 1038, 536, 284, 272, 11305, 454, 1038, 1535, 318, 1002, 30381, 265, 321, 454, 1038, 1535, 14352, 343, 1606 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1164, 7779, 14292, 2645, 269, 29460, 21616, 609, 519, 3668, 540, 1863, 2200, 585, 1200, 1053, 267, 1352, 2813, 5871, 299, 527, 538, 476, 1001, 274, 563, 13349, 299, 527, 13333, 513, 1863, 2228, 2542, 1982, 585, 1053, 538, 9344, 476, 274, 268, 1321, 267, 609, 2542, 4245, 2813, 676, 7924, 4966, 543, 5449, 7855, 269, 2311, 5871, 299, 527, 3820, 267, 3610, 666, 1569, 513, 1863, 3059, 744, 2207, 5399, 540, 936, 476, 274, 267, 1822, 5931, 269, 2353, 5931, 1331, 8574, 17466, 2055, 543, 21934, 1245, 539, 267, 10509, 10276, 327, 2331, 2645, 547, 1489, 10010, 1053, 269, 1358, 666, 849, 6895, 2875, 3356, 998, 519, 9906, 13437, 667, 1662, 4580, 267, 9477, 2898, 1362, 543, 1367, 2875, 2773, 676, 3044, 547, 3713, 3466, 543, 2127, 540, 6454, 543, 1544, 585, 2104, 6044, 563, 10932, 814, 9672, 602, 1053, 609, 2362, 6165, 540, 5871, 299, 527, 779, 3059, 1982, 7152, 1713, 4081, 2208, 269, 7335, 476, 277, 610, 811, 5871, 299, 527, 4245, 31426, 609, 936, 476, 272, 269, 276, 2053, 519, 3328, 4397, 2208, 256, 7324, 1164, 1153, 1053, 267, 11264, 476, 1556, 610, 811, 5871, 299, 527, 4245, 7000, 2208, 540, 476, 271, 269, 3374, 3044, 24017, 256, 901, 568, 5176, 476, 273, 343, 519, 1764, 540, 519, 6093, 1164, 1153, 6304, 630, 271, 269, 866, 1916, 13349, 299, 527, 4867, 5713, 936, 476, 736, 2929, 1053, 1472, 519, 8608, 269, 3776, 3486, 3755, 2799, 476, 4792, 277, 260, 2094, 519, 1376, 540, 519, 6855, 267, 8757, 5176, 835, 2929, 3610, 543, 1053, 269, 1284, 2503, 547, 3136, 3395, 28354, 563, 13349, 299, 527, 568, 8810, 547, 17108, 2875, 1565, 676, 909, 547, 476, 273, 343, 269, 1284, 616, 593, 3950, 538, 519, 1985, 476, 274, 1296, 547, 17108, 1565, 585, 476, 1724, 2929, 1053, 11451, 267, 543, 1831, 606, 476, 3199, 260, 12236, 8907, 1582, 1606, 20980, 18758, 563, 27645, 543, 3237, 666, 1129, 909, 585, 513, 1863, 5871, 299, 527, 2272, 538, 2296, 693, 8940, 2593, 3000, 26569, 3820, 610, 538, 5053, 693, 8940, 2593, 3000, 26569, 3820, 270, 525, 563, 2414, 1451, 811, 827, 5871, 299, 527, 543, 519, 3318, 1646, 649, 2709, 3610, 267, 5225, 3346, 3397, 755, 2088, 631, 641, 7065, 339, 630, 16942, 11333, 2593, 1040, 0, 288, 2077, 13444, 267, 606, 900, 5799, 4137, 538, 6138, 267, 1500, 1713, 26058, 538, 1620, 519, 2470, 540, 519, 2247, 269, 3502, 1152, 1705, 1010, 2093, 2482, 519, 13210, 585, 2663, 19929, 593, 6530, 543, 5042, 2257, 267, 855, 789, 849, 15748, 513, 2189, 5133, 593, 21042, 12695, 543, 7881, 563, 1607, 5816, 2022, 6663, 547, 5490, 883, 17127, 779, 1523, 540, 519, 2247, 267, 3246, 606, 16367, 3408, 540, 713, 2565, 2460, 540, 1010, 6138, 563, 1432, 9894, 17127, 17166, 6168, 519, 9650, 888, 288, 2077, 13444, 779, 2070, 540, 519, 2247, 607, 519, 5207, 4390, 540, 519, 9997, 568, 513, 1523, 7184, 18955, 883, 1010, 21042, 12695, 269, 1284, 786, 1865, 875, 646, 1064, 1243, 513, 5094, 543, 17946, 4474, 1373, 693, 519, 2295, 540, 782, 6228, 543, 2263, 875, 713, 3661, 24889, 609, 1010, 17748, 540, 519, 2247, 563, 288, 2077, 13444, 779, 5683, 4978, 267, 3226, 1010, 8561, 593, 8236, 552, 644, 2727, 8205, 630, 320, 1533, 540, 25552, 1145, 610, 8788, 264, 998, 17284, 267, 786, 581, 9916, 538, 6935, 547, 1010, 5784, 593, 519, 2247, 563, 3383, 267, 1577, 779, 7832, 593, 713, 3078, 7214, 3460, 267, 10188, 519, 32725, 540, 17127, 779, 2247, 267, 835, 2856, 693, 513, 942, 563, 272, 269, 634, 14163, 582, 27318, 9650, 281, 589, 9978, 11137, 454, 2690, 17127, 267, 519, 1480, 2247, 7012, 1406, 1175, 1776, 851, 540, 519, 1560, 282, 621, 729, 519, 533, 4883, 12386, 540, 519, 9997, 779, 5759, 269, 1261, 9763, 519, 2247, 607, 519, 5207, 4390, 540, 519, 9997, 267, 513, 1523, 602, 3029, 513, 3844, 4557, 564, 540, 1010, 10952, 2219, 269, 1306, 971, 267, 538, 1620, 17127, 779, 6138, 267, 621, 3587, 14063, 547, 9787, 713, 4909, 2856, 563, 6097, 547, 17127, 267, 519, 2247, 19299, 606, 17271, 15796, 267, 609, 2219, 1373, 519, 10700, 4390, 269, 901, 3206, 1184, 267, 610, 1018, 17127, 5219, 547, 607, 968, 1492, 1303, 601, 2946, 3832, 807, 540, 519, 2247, 2223, 568, 711, 8806, 513, 12809, 1533, 855, 606, 3742, 23314, 540, 519, 2247, 779, 1761, 640, 883, 4890, 640, 563, 1103, 12863, 1913, 267, 621, 779, 899, 519, 2247, 568, 513, 18048, 267, 543, 4555, 616, 922, 25704, 267, 4547, 547, 1272, 676, 519, 6297, 3498, 540, 1585, 19206, 267, 971, 607, 8226, 267, 9345, 267, 543, 3965, 563, 288, 2077, 13444, 779, 9650, 543, 4033, 7167, 659, 885, 454, 4913, 267, 519, 2247, 779, 2702, 547, 1589, 3085, 1406, 2291, 538, 10072, 269, 898, 568, 4890, 1242, 998, 824, 19206, 540, 519, 9997, 267, 1142, 7674, 513, 1114, 1599, 563, 268, 1280, 3236, 267, 8226, 2636, 721, 547, 1995, 519, 1158, 1472, 721, 267, 8108, 519, 6151, 1570, 585, 938, 4555, 563, 268, 22569, 1588, 2636, 721, 547, 2736, 1863, 689, 519, 695, 871, 956, 540, 519, 1459, 267, 11291, 532, 2250, 2833, 267, 610, 19424, 532, 2104, 7399, 563, 268, 15350, 3947, 721, 519, 2702, 547, 4558, 543, 23074, 1344, 267, 513, 4105, 32563, 585, 1022, 1106, 540, 1950, 3206, 563, 19602, 267, 2687, 547, 17127, 267, 519, 2247, 30230, 1186, 1991, 1790, 739, 7845, 21465, 270, 1410, 17839, 2218, 1894, 2864, 982, 4111, 1043, 3029, 269, 901, 5267, 602, 938, 4555, 616, 8032, 711, 1175, 676, 519, 3615, 610, 2093, 649, 7237, 855, 849, 676, 519, 3347, 1063, 873, 267, 3226, 538, 2474, 540, 3123, 543, 2360, 563, 1607, 1448, 2417, 11363, 519, 3742, 2470, 540, 519, 2247, 538, 17127, 779, 6138, 267, 9446, 532, 621, 607, 606, 6946, 1357, 540, 32144, 532, 4555, 543, 2093, 267, 7683, 538, 13441, 267, 8272, 337, 1681, 519, 6422, 2470, 540, 4641, 3294, 563, 2414, 17412, 267, 519, 14163, 582, 27318, 2247, 3884, 1406, 8806, 513, 8708, 585, 4555, 855, 513, 7524, 17198, 1141, 1585, 19206, 540, 519, 9997, 2097, 1927, 547, 5862, 519, 3638, 13795, 540, 1480, 9637, 563, 273, 269, 634, 9650, 4340, 547, 17127, 779, 5450, 7469, 12695, 454, 22013, 1324, 883, 17127, 779, 21042, 12695, 2337, 721, 19586, 519, 6946, 6402, 1063, 1010, 5784, 593, 2048, 7424, 8072, 543, 1010, 1523, 540, 519, 2247, 269, 17127, 4843, 513, 2864, 7096, 543, 3982, 3409, 602, 972, 6818, 513, 5094, 543, 17946, 4474, 1373, 602, 5713, 607, 519, 2707, 540, 782, 824, 7919, 269, 901, 1880, 3661, 3029, 519, 5127, 13702, 540, 1620, 17127, 779, 1523, 540, 519, 2247, 563, 288, 2077, 13444, 5156, 602, 519, 2247, 568, 519, 5207, 4390, 540, 519, 9997, 267, 609, 782, 824, 19206, 8647, 547, 4890, 1125, 3206, 267, 799, 568, 9833, 607, 519, 1303, 601, 2946, 3832, 807, 630, 1492, 4890, 1436, 610, 20106, 264, 540, 519, 2247, 563, 1103, 1010, 21042, 9713, 5133, 267, 646, 5784, 713, 5094, 543, 17946, 4474, 1373, 607, 1945, 4909, 543, 1898, 267, 1454, 899, 519, 2247, 538, 6935, 547, 519, 9997, 269, 901, 4295, 11769, 267, 610, 2048, 27146, 776, 6219, 8730, 607, 17127, 4016, 547, 621, 267, 6585, 922, 6228, 10446, 540, 782, 824, 6688, 540, 1373, 563, 21413, 713, 6219, 267, 519, 824, 6688, 3112, 2291, 267, 2147, 547, 875, 519, 824, 19206, 540, 519, 9997, 3112, 581, 7691, 1510, 519, 2247, 563, 763, 19043, 540, 17127, 779, 27284, 9861, 454, 763, 4644, 540, 713, 3661, 538, 1620, 17127, 779, 1523, 540, 519, 2247, 6013, 538, 519, 19320, 6537, 1063, 713, 3119, 6219, 543, 519, 1480, 2247, 269, 3807, 607, 519, 3119, 6219, 896, 15533, 782, 3601, 543, 2242, 538, 1945, 267, 519, 2247, 3788, 3586, 267, 5103, 519, 1585, 4555, 267, 4606, 267, 543, 11994, 621, 2833, 267, 12013, 4328, 519, 17946, 4474, 2470, 540, 519, 3119, 6219, 563, 10702, 267, 17127, 779, 26841, 540, 713, 5094, 543, 17946, 4474, 1373, 32514, 919, 1010, 8226, 540, 519, 2247, 607, 513, 2189, 543, 4830, 11769, 269, 898, 568, 711, 1175, 1776, 851, 540, 519, 1560, 610, 9997, 267, 855, 513, 1796, 29671, 11769, 602, 666, 1599, 543, 2291, 10446, 269, 634, 2247, 267, 8754, 267, 568, 711, 1152, 519, 5207, 4390, 540, 519, 9997, 855, 849, 513, 10058, 11769, 609, 606, 6228, 540, 922, 1378, 563, 8139, 17127, 779, 21042, 12695, 543, 1010, 1523, 540, 2048, 7424, 8072, 3091, 721, 513, 21950, 8223, 540, 1010, 2070, 540, 519, 2247, 269, 898, 2488, 513, 5748, 585, 16208, 1010, 5784, 593, 7881, 267, 1702, 267, 543, 1082, 824, 3344, 540, 1010, 6138, 602, 568, 23091, 609, 519, 1523, 540, 519, 2247, 563, 2026, 649, 5490, 4514, 883, 519, 6106, 540, 17127, 779, 6138, 267, 519, 7096, 3310, 540, 1010, 21042, 9713, 5784, 593, 1010, 1523, 540, 519, 2247, 3587, 5051, 10423, 563, 274, 269, 15979, 543, 519, 14163, 582, 27318, 9650, 454, 763, 5683, 4978, 540, 17127, 616, 5704, 2299, 5532, 609, 1010, 17748, 540, 519, 2247, 269, 6239, 547, 1620, 713, 4276, 568, 1010, 1523, 540, 661, 644, 2727, 8205, 267, 12484, 826, 267, 543, 519, 2856, 602, 649, 1831, 1732, 7606, 998, 2259, 563, 288, 2077, 13444, 779, 661, 644, 2727, 8205, 281, 589, 4469, 712, 5109, 9650, 454, 292, 644, 2727, 8205, 267, 1419, 12261, 607, 968, 4148, 712, 5109, 892, 610, 968, 1492, 1434, 1272, 2223, 568, 513, 22294, 540, 17127, 779, 5683, 6138, 269, 1280, 1864, 267, 552, 644, 2727, 8205, 568, 711, 8806, 513, 23644, 1533, 540, 8788, 610, 12257, 855, 513, 13455, 2783, 540, 1134, 5630, 543, 20106, 6913, 998, 2713, 513, 1272, 540, 16495, 269, 17127, 5156, 602, 713, 1533, 540, 30436, 568, 519, 10700, 3804, 540, 1480, 1272, 267, 543, 8757, 621, 3340, 519, 5207, 4390, 540, 519, 9997, 1107, 519, 2247, 563, 6097, 547, 17127, 267, 519, 2247, 4249, 513, 2565, 1909, 538, 3056, 721, 2509, 552, 644, 2727, 8205, 269, 898, 568, 998, 7787, 3206, 267, 10385, 267, 543, 7326, 602, 649, 666, 20559, 1018, 3527, 616, 4075, 6681, 543, 3442, 547, 957, 9935, 563, 13295, 267, 519, 2247, 3587, 519, 3844, 8665, 538, 13057, 938, 3527, 2509, 519, 9740, 540, 513, 30436, 1272, 563, 763, 10020, 540, 12484, 826, 538, 519, 14163, 582, 27318, 9650, 454, 288, 2077, 13444, 2022, 4327, 519, 1523, 540, 16495, 267, 610, 616, 974, 267, 607, 513, 2318, 1915, 16023, 602, 2306, 922, 4865, 528, 513, 1434, 1480, 1373, 269, 12484, 1132, 616, 6208, 610, 8741, 1431, 649, 1020, 998, 7368, 2962, 267, 11744, 17127, 779, 3661, 538, 5837, 2208, 543, 1646, 563, 763, 11601, 540, 21644, 267, 646, 11130, 267, 729, 711, 3274, 585, 13919, 779, 19160, 269, 5502, 267, 621, 729, 513, 2619, 547, 8236, 552, 644, 2727, 8205, 267, 513, 16180, 543, 30436, 1272, 563, 2690, 17127, 267, 21644, 616, 711, 17916, 855, 16916, 998, 2259, 543, 11461, 676, 519, 2247, 269, 3776, 7787, 12200, 267, 610, 2247, 267, 6087, 721, 547, 1174, 519, 4644, 540, 21644, 543, 10274, 721, 538, 8026, 873, 563, 1103, 824, 1913, 267, 519, 2247, 267, 998, 922, 4390, 585, 2601, 543, 10385, 267, 4249, 513, 2629, 1909, 538, 14237, 21644, 543, 23376, 721, 4724, 552, 644, 2727, 8205, 563, 6826, 5765, 14568, 31080, 3414, 6657, 454, 288, 2077, 13444, 16119, 4371, 602, 649, 1831, 1732, 1004, 998, 2259, 267, 25967, 1681, 519, 2956, 540, 6208, 538, 5935, 835, 779, 1915, 543, 6038, 267, 835, 779, 1272, 269, 634, 2247, 267, 538, 713, 2796, 267, 5713, 607, 519, 8689, 540, 938, 3527, 267, 8716, 721, 547, 9846, 2259, 4075, 6681, 6411, 2394, 789, 1831, 2034, 2470, 547, 721, 563, 1607, 10206, 540, 3110, 3770, 17284, 2417, 25907, 17127, 779, 2070, 540, 7881, 543, 519, 2247, 267, 20515, 519, 11358, 1909, 519, 2247, 4249, 538, 2123, 1646, 543, 5683, 2713, 563, 7437, 519, 7828, 540, 17127, 779, 6138, 267, 519, 2247, 19674, 607, 811, 982, 606, 1418, 585, 2219, 269, 898, 568, 513, 3532, 1907, 585, 5837, 5583, 267, 513, 22315, 3056, 721, 2509, 513, 4075, 6681, 267, 16180, 1272, 1107, 513, 1272, 540, 552, 644, 2727, 8205, 563, 275, 269, 12480, 624, 673, 28924, 690, 1143, 543, 23227, 894, 11310, 454, 288, 2077, 13444, 779, 6138, 5088, 806, 606, 6946, 1062, 540, 9266, 7744, 1634, 607, 519, 13172, 673, 11382, 690, 1143, 269, 589, 11382, 690, 1143, 538, 14163, 582 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 343, 14371, 1429, 4590, 295, 815, 562, 343, 14371, 1429, 4590, 294, 14491, 17045, 263, 272, 994, 294, 14491, 5332, 3941, 318, 5228, 8443, 273, 267, 476, 274, 7481, 294, 14491, 5332, 3941, 318, 5228, 263, 9792, 263, 275, 267, 476, 278, 4917, 295, 14491, 17045, 263, 278, 994, 294, 14491, 5332, 3941, 318, 5228, 263, 295, 994, 294, 14491, 318, 8354, 263, 272, 267, 476, 273, 994, 294, 14491, 318, 8354, 263, 272, 267, 476, 272, 994, 294, 14491, 318, 539, 2471, 318, 5228, 8443, 263, 273, 267, 274, 1070, 630, 274, 267, 277, 1070, 630, 275, 267, 277, 1070, 630, 276, 267, 277, 264, 7481, 295, 14491, 318, 539, 2471, 318, 5228, 8443, 263, 275, 267, 278, 1070, 630, 276, 267, 278, 1070, 630, 277, 267, 278, 264, 7481, 294, 14491, 318, 539, 2471, 318, 5228, 263, 295, 269, 539, 2471, 15405, 333, 343, 6155, 3863, 5332, 564, 1740, 343, 31855, 994, 0, 258, 273, 269, 18600, 823, 796, 1982, 320, 6446, 1608, 9908, 3288, 1494, 16780, 807, 632, 13121, 6746, 657, 4283, 657, 5609, 1129, 334, 1483, 714, 18372, 561, 4594, 15606, 513, 3288, 30775, 542, 964, 541, 2651, 3385, 679, 1714, 533, 2863, 334, 476, 272, 563, 692, 3698, 15273, 5416, 14720, 2187, 825, 524, 284, 271, 454, 825, 1247, 536, 285, 271, 912, 1038, 524, 284, 322, 266, 320, 454, 1038, 536, 268, 284, 272, 454, 825, 2132, 524, 19638, 3698, 1494, 5416, 14720, 2187, 825, 524, 284, 272, 454, 825, 1247, 536, 285, 271, 912, 1038, 524, 284, 332, 592, 6262, 28083, 994, 1038, 536, 268, 284, 272, 454, 825, 2132, 524, 7531, 2745, 1494, 263, 274, 267, 274, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 21588, 361, 476, 9826, 272, 28859, 351, 502, 16088, 476, 10533, 493, 418, 482, 509, 13644, 491, 24757, 10951, 361, 24757, 10524, 370, 22012, 318, 6919, 17902, 8147, 19404, 490, 30837, 351, 7511, 19540, 483, 14395, 373, 20992, 23284, 31284, 19540, 483, 14395, 373, 8147, 25051, 497, 17958, 16043, 371, 27447, 24662, 10533, 493, 418, 482, 509, 13644, 491, 13644, 511, 28793, 8147, 10254, 503, 19867, 497, 22287, 364, 24731, 15213, 8147, 12571, 355, 10254, 503, 19867, 497, 22287, 364, 24731, 5274, 7126, 25707, 20701, 454, 6919, 815, 11713, 5976, 1930, 3488, 325, 2830, 1229, 318, 6919, 17902, 10807, 607, 535, 912, 825, 585, 1899, 538, 535, 912, 1038, 1913, 6910, 263, 1467, 25331, 29328, 28361, 333, 29125, 2745, 263, 6919, 2020, 3667, 815, 3403, 4590, 604, 1022, 8443, 5320, 585, 2262, 538, 1913, 952, 2262, 538, 1257, 316, 2187, 825, 1820, 3488, 26466, 4520, 5073, 12828, 912, 825, 1820, 3488, 14549, 7126, 10807, 0, 258, 1205, 614, 476, 1305, 614, 692, 5035, 4530, 24998, 2187, 825, 1948, 28859, 503, 494, 27936, 420, 485, 359, 27936, 18263, 487, 32352, 417, 508, 489, 7511, 28098, 420, 365, 350, 9463, 359, 420, 25693, 14756, 495, 27936, 418, 509, 494, 11590, 505, 31271, 508, 26233, 356, 454, 825, 6449, 16435, 1824, 1029, 815, 18011, 318, 4067, 3299, 1412, 318, 720, 17210, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 11519, 4067, 815, 2012, 454, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 1948, 1205, 614, 454, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 692, 825, 1948, 1305, 614, 454, 825, 7711, 4067, 15630, 614, 454, 825, 1219, 2012, 4311, 267, 2012, 2187, 1038, 1582, 11519, 4067, 815, 2012, 692, 825, 1948, 28859, 507, 503, 26233, 479, 25913, 25622, 22614, 505, 368, 26406, 354, 420, 364, 481, 17958, 454, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 14067, 1738, 10031, 1038, 2132, 6936, 692, 825, 1948, 13127, 506, 357, 32352, 18809, 27936, 18263, 487, 32352, 25913, 25622, 8147, 32352, 25913, 25622, 7511, 21588, 361, 22047, 9463, 480, 12255, 419, 374, 355, 27936, 12571, 491, 20992, 743, 338, 12486, 476, 20881, 504, 13213, 485, 32352, 25913, 25622, 10254, 505, 417, 375, 374, 25051, 497, 31176, 491, 32352, 7511, 28098, 420, 365, 350, 454, 825, 7711, 5035, 24709, 454, 825, 1219, 3236, 263, 743, 338, 2187, 1038, 2132, 804, 338, 3488, 14075, 3299, 476, 1321, 9239, 3698, 1292, 10031, 825, 952, 4530, 18994, 14067, 1738, 263, 2567, 1948, 22614, 505, 368, 26406, 354, 420, 364, 481, 17958, 476, 21251, 17958, 14395, 508, 28032, 489, 25060, 500, 32352, 454, 1038, 804, 320, 815, 4530, 3488, 3832, 526, 599, 324, 3299, 476, 1240, 994, 1038, 1820, 263, 743, 320, 20508, 994, 1038, 1948, 22614, 365, 375, 25913, 25622, 420, 492, 371, 9463, 500, 32352, 7511, 14395, 508, 28032, 489, 454, 1038, 804, 320, 273, 815, 4530, 269, 27349, 4590, 1038, 1820, 263, 743, 320, 273, 20508, 9239, 258, 476, 14756, 356, 19867, 379, 454, 5035, 12287, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 11519, 4067, 815, 2012, 454, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2085, 4311, 2187, 1038, 2132, 1582, 11519, 720, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 692, 825, 7711, 720, 15630, 614, 454, 825, 1219, 2085, 4311, 267, 2085, 2187, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 1219, 1404, 4311, 2187, 1038, 1820, 3488, 260, 338, 27064, 358, 26033, 491, 9538, 4939, 1582, 11519, 4067, 2020, 825, 1219, 1285, 4311, 2187, 1038, 952, 1582, 11519, 720, 3436, 476, 1240, 10778, 2018, 1820, 3488, 260, 338, 419, 506, 489, 822, 9538, 4939, 1582, 11519, 4067, 994, 1038, 3116, 912, 2018, 1820, 3488, 260, 338, 419, 506, 489, 10429, 487, 14035, 368, 19764, 374, 9538, 4939, 1582, 11519, 4067, 9239, 258, 9906, 476, 14756, 356, 19867, 379, 12287, 454, 5035, 9906, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 3446, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 720, 267, 2012, 994, 1038, 1582, 11519, 14079, 815, 3446, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3446, 4311, 2187, 1038, 2132, 1582, 11519, 14079, 692, 825, 7711, 14079, 15630, 614, 454, 825, 1219, 3446, 4311, 267, 3446, 2187, 1038, 1582, 11519, 14079, 815, 3446, 692, 825, 1219, 1404, 4311, 2187, 1038, 1820, 3488, 19404, 491, 19540, 503, 419, 486, 370, 32352, 7511, 2452, 25913, 25622, 5405, 505, 30244, 16533, 365, 15159, 14035, 504, 26233, 479, 262, 9239, 258, 11819, 476, 14756, 356, 19867, 379, 12287, 454, 5035, 11819, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 1576, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 720, 267, 2012, 994, 1038, 1582, 11519, 322, 6847, 815, 1576, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1576, 4311, 2187, 1038, 2132, 1582, 11519, 322, 6847, 692, 825, 7711, 322, 6847, 15630, 614, 454, 825, 1219, 1576, 4311, 267, 1576, 2187, 1038, 1582, 11519, 322, 6847, 815, 1576, 7531, 258, 418, 488, 377, 420, 365, 350, 32352, 454, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 7493, 24709, 692, 5035, 8891, 24998, 267, 19898, 5035, 284, 5723, 13967, 9508, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 12183, 2187, 1038, 1582, 11519, 333, 1157, 815, 12183, 692, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 5639, 4311, 2187, 1038, 1780, 7531, 5035, 9697, 27456, 564, 2187, 825, 1219, 5639, 4311, 2187, 1038, 1820, 3488, 260, 2675, 520, 9538, 4939, 1582, 11519, 333, 1157, 9239, 5035, 13928, 27456, 564, 2187, 825, 1219, 5639, 4311, 2187, 1038, 1820, 3488, 260, 338, 27594, 9538, 4939, 1582, 11519, 333, 1157, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12041, 281, 561, 1460, 21628, 454, 6826, 1846, 281, 476, 273, 269, 4029, 14999, 18257, 7531, 5035, 8827, 912, 825, 1219, 19467, 4311, 267, 15358, 272, 267, 544, 267, 15358, 273, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 272, 281, 5903, 27776, 2639, 1038, 2433, 6943, 544, 281, 703, 454, 1038, 2433, 6943, 15358, 273, 281, 5903, 27776, 2639, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 20704, 1684, 711, 2132, 4376, 267, 12189, 15358, 272, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 1775, 815, 544, 910, 476, 272, 454, 1038, 795, 815, 562, 910, 476, 272, 454, 1038, 737, 815, 544, 1341, 562, 910, 476, 272, 454, 1038, 1247, 1775, 13843, 476, 271, 543, 795, 13843, 476, 271, 912, 2018, 952, 15358, 272, 5157, 316, 13843, 15358, 273, 14728, 14158, 3546, 15358, 272, 25208, 316, 815, 15358, 272, 5157, 2639, 3546, 737, 20699, 476, 272, 454, 3546, 1775, 20699, 476, 272, 454, 2018, 3116, 912, 3546, 15358, 272, 25208, 316, 815, 15358, 273, 14728, 2639, 3546, 737, 20699, 476, 272, 454, 3546, 795, 20699, 476, 272, 692, 1038, 952, 795, 13843, 476, 271, 912, 2018, 15358, 272, 314, 271, 2433, 795, 266, 272, 316, 815, 15358, 273, 314, 271, 281, 795, 266, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 15358, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 544, 815, 476, 274, 454, 825, 15358, 273, 815, 1496, 273, 267, 476, 276, 267, 476, 277, 2639, 825, 562, 815, 476, 274, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 266, 333, 316, 2652, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 277, 6540, 825, 15358, 272, 815, 1496, 271, 2639, 825, 544, 815, 476, 271, 454, 825, 15358, 273, 815, 1496, 272, 2639, 825, 562, 815, 476, 272, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 266, 333, 316, 2652, 1496, 272, 6540, 825, 15358, 272, 815, 1496, 273, 267, 476, 271, 2639, 825, 544, 815, 476, 272, 454, 825, 15358, 273, 815, 1496, 272, 2639, 825, 562, 815, 476, 272, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 1341, 562, 316, 2652, 1496, 272, 267, 476, 273, 6540, 825, 15358, 272, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 544, 815, 476, 274, 454, 825, 15358, 273, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 825, 562, 815, 476, 274, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 1341, 562, 316, 2652, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 316, 0, 18411, 1889, 564, 538, 519, 1647, 9847, 2476, 689, 519, 1647, 454, 419, 506, 489, 14395, 490, 29072, 30903, 502, 25203, 362, 8147, 16533, 365, 418, 481, 367, 419, 507, 478, 26406, 496, 31365, 12486, 22614, 482, 370, 12571, 492, 8147, 16043, 495, 16533, 365, 31308, 375, 418, 368, 501, 418, 378, 350, 29072, 8147, 419, 482, 370, 12571, 492, 16043, 495, 16533, 365, 418, 481, 367, 28996, 29072, 30244, 14748, 25913, 25622, 25707, 307, 16088, 744, 27818, 273, 2608, 715, 24724, 454, 306, 16088, 744, 27818, 301, 24724, 692, 305, 29025, 281, 476, 277, 1428, 20444, 267, 5488, 982, 476, 7367, 269, 1556, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 7043, 652, 1230, 5913, 5737, 25627, 563, 300, 25514, 26402, 281, 476, 2764, 269, 276, 15406, 267, 1447, 982, 476, 5655, 269, 10602, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 7043, 652, 1230, 5913, 5737, 25627, 563, 18411, 5035, 8827, 912, 825, 1219, 13074, 290, 2945, 322, 5737, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 2938, 815, 1305, 25225, 994, 1038, 20735, 815, 476, 271, 454, 1038, 1247, 2938, 912, 2018, 1775, 815, 2938, 21014, 4590, 2018, 561, 267, 678, 815, 1775, 910, 476, 272, 267, 1775, 1341, 476, 272, 454, 2018, 1247, 561, 538, 2938, 912, 3546, 2938, 31927, 10857, 994, 3546, 561, 20699, 476, 272, 454, 2018, 1247, 678, 538, 2938, 912, 3546, 2938, 31927, 16868, 994, 3546, 678, 6834, 476, 272, 454, 2018, 20735, 815, 3193, 263, 753, 267, 678, 910, 561, 910, 476, 272, 994, 13872, 1038, 2132, 20735, 3097, 0, 18411, 5263, 306, 454, 307, 281, 744, 18217, 994, 306, 281, 744, 263, 8421, 301, 2020, 305, 29025, 281, 476, 13199, 20444, 267, 5488, 982, 476, 7830, 269, 2190, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 22417, 590, 9285, 26275, 547, 23030, 9612, 10326, 563, 300, 25514, 26402, 281, 476, 1428, 269, 277, 15406, 267, 1447, 982, 476, 3953, 269, 2420, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 22417, 590, 9285, 26275, 547, 23030, 9612, 10326, 563, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 15044, 26161, 2414, 289, 4306, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 8838, 1308, 314, 21698, 11966, 14158, 1038, 1219, 546, 12028, 263, 3847, 267, 1318, 2187, 2018, 952, 2451, 3436, 1318, 912, 3546, 2132, 7183, 3097, 2018, 952, 2451, 2652, 1318, 912, 3546, 2132, 30741, 25225, 314, 3847, 7481, 2018, 4571, 815, 630, 3847, 1341, 1318, 264, 12262, 476, 273, 454, 2018, 2132, 30741, 25225, 314, 13232, 3910, 546, 12028, 263, 3847, 267, 4571, 910, 476, 272, 1070, 546, 12028, 9852, 573, 1341, 476, 272, 267, 1318, 4917, 13872, 1038, 2132, 546, 12028, 263, 271, 267, 7003, 25225, 264, 910, 476, 272, 994, 0, 18411, 327, 1662, 3349, 692, 19867, 356, 27310, 17958, 28793, 16088, 2764, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 9032, 269, 7918, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1428, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5655, 269, 5379, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6321, 1315, 476, 6321, 454, 18411, 5035, 8827, 912, 825, 1219, 12969, 4311, 267, 15358, 272, 281, 5903, 27776, 3910, 15358, 273, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 524, 660, 272, 267, 524, 660, 273, 815, 22388, 25225, 272, 1070, 22388, 25225, 273, 994, 1038, 20735, 284, 11713, 1038, 952, 7003, 6262, 660, 272, 264, 3436, 7003, 6262, 660, 273, 2187, 2018, 524, 660, 272, 267, 524, 660, 273, 815, 524, 660, 273, 267, 524, 660, 272, 454, 1038, 585, 1535, 267, 524, 538, 524, 660, 272, 29096, 10031, 2018, 524, 273, 815, 524, 660, 273, 20572, 2639, 2018, 20735, 269, 2169, 754, 8443, 343, 316, 2608, 1295, 6262, 267, 524, 273, 4917, 1038, 2132, 20735, 8528, 18411, 19867, 356, 27310, 17958, 28793, 16088, 3607, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10602, 269, 10602, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1428, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5655, 269, 5379, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6321, 1315, 476, 6321, 454, 18411, 5035, 8827, 912, 825, 1219, 12969, 4311, 267, 15358, 272, 281, 5903, 27776, 3910, 15358, 273, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 2132, 1592, 9230, 290, 3300, 25225, 272, 264, 1299, 22388, 25225, 273, 26895, 324, 6123, 15405, 1363, 0, 18411, 342, 3994, 2626, 454, 18257, 7531, 5035, 8827, 24998, 2187, 825, 1219, 2262, 15031, 1181, 4311, 267, 4806, 267, 1193, 2187, 1038, 8173, 1038, 2433, 6943, 4806, 281, 1193, 454, 1038, 2433, 6943, 1193, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 1273, 338, 815, 1592, 263, 6312, 1181, 994, 1038, 1913, 815, 1193, 21858, 4590, 1038, 1948, 7682, 7003, 9638, 1846, 264, 2652, 7003, 263, 6919, 994, 1038, 952, 7003, 9638, 1846, 264, 11203, 7003, 263, 6919, 2187, 2018, 2132, 8771, 28329, 1038, 1273, 338, 273, 6919, 815, 31460, 1038, 585, 1775, 538, 1535, 9792, 12759, 9638, 1846, 15892, 2018, 1820, 1273, 338, 273, 6919, 454, 2018, 952, 1273, 338, 5157, 316, 538, 1273, 338, 273, 6919, 543, 1913, 5157, 316, 711, 538, 1273, 338, 273, 6919, 269, 11161, 10031, 3546, 952, 1273, 338, 273, 6919, 314, 335, 1846, 5157, 14963, 2652, 1913, 5157, 14158, 7386, 3136, 454, 3546, 3116, 912, 7386, 2132, 8771, 454, 2018, 8640, 1273, 338, 5157, 316, 538, 1273, 338, 273, 6919, 543, 1913, 5157, 316, 538, 1273, 338, 273, 6919, 269, 11161, 10031, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 1273, 338, 273, 6919, 314, 335, 1846, 5157, 14963, 815, 1913, 5157, 6540, 1038, 2132, 6936, 454, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 4806, 815, 834, 629, 9346, 4840, 825, 1193, 815, 834, 27594, 3032, 3032, 2915, 4840, 825, 7682, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 994, 825, 4806, 815, 834, 19487, 4840, 825, 1193, 815, 834, 13906, 3032, 3032, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 2020, 825, 4806, 815, 834, 19487, 19487, 4840, 825, 1193, 815, 834, 27594, 3032, 3165, 3165, 3032, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 2020, 825, 4806, 815, 834, 629, 9346, 4840, 825, 1193, 815, 834, 27594, 2915, 2915, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 264, 0, 18411, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 11011, 269, 866, 4939, 540, 9226, 22347, 3827, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 3406, 30467, 4311, 267, 5119, 267, 3077, 2187, 1038, 8173, 1038, 2433, 6943, 5119, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 6943, 3077, 281, 703, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 711, 5119, 912, 2018, 2132, 8771, 454, 1038, 952, 7003, 263, 9795, 314, 271, 8079, 2652, 476, 271, 912, 2018, 2132, 8771, 28329, 1038, 5044, 815, 11713, 1038, 585, 1016, 24512, 538, 5119, 912, 2018, 5044, 6834, 1016, 24512, 692, 1038, 952, 3077, 538, 5044, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 0, 18411, 327, 1662, 1305, 692, 305, 29025, 281, 476, 6942, 20444, 267, 5488, 982, 476, 4281, 269, 1691, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 300, 25514, 26402, 281, 476, 1691, 269, 277, 15406, 267, 1447, 982, 476, 10602, 269, 2764, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 18411, 5035, 8827, 912, 825, 1219, 5934, 21920, 21886, 5317, 4311, 267, 1913, 281, 5903, 314, 1598, 8079, 9847, 703, 912, 1038, 3982, 815, 1305, 263, 6919, 994, 1038, 585, 2262, 538, 1913, 912, 2018, 585, 1775, 538, 2039, 263, 272, 267, 7003, 27182, 15892, 3546, 3982, 269, 4134, 15258, 27182, 5157, 281, 476, 7481, 1038, 2132, 2040, 12759, 27182, 264, 1341, 476, 272, 585, 2262, 538, 3982, 9239, 18411, 339, 4471, 692, 305, 29025, 281, 476, 29214, 20444, 267, 5488, 982, 476, 7367, 269, 6021, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 300, 25514, 26402, 281, 476, 1626, 269, 274, 15406, 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 ]
[ 0, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 20777, 1790, 531, 30308, 270, 692, 5035, 8827, 912, 825, 1219, 568, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 536, 944, 912, 1038, 952, 711, 521, 912, 2018, 2132, 6936, 692, 1038, 840, 318, 4650, 815, 1412, 8339, 21860, 8443, 343, 31573, 3890, 585, 1535, 538, 521, 952, 1535, 18994, 10401, 3890, 610, 1535, 18994, 323, 13424, 3890, 7481, 1038, 9258, 815, 1412, 8339, 21860, 8443, 343, 31573, 3890, 585, 1535, 538, 521, 11468, 18737, 272, 316, 952, 1535, 18994, 10401, 3890, 610, 1535, 18994, 323, 13424, 3890, 20285, 1038, 1820, 263, 2181, 318, 4650, 994, 1038, 1820, 263, 516, 2091, 2020, 1038, 2132, 840, 318, 4650, 2652, 9258, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18994, 21595, 30308, 2891, 288, 812, 267, 513, 1544, 267, 513, 12324, 281, 24861, 257, 4297, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 7531, 5035, 8827, 912, 825, 1219, 18419, 291, 340, 27289, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 1225, 318, 3650, 815, 2212, 454, 1038, 1247, 1225, 318, 3650, 568, 711, 7183, 912, 2018, 952, 1225, 318, 3650, 12785, 912, 3546, 10917, 318, 10113, 815, 1225, 318, 3650, 12785, 454, 3546, 952, 1225, 318, 3650, 22183, 2652, 10917, 318, 10113, 22183, 912, 7386, 1225, 318, 3650, 12785, 815, 10917, 318, 10113, 12785, 454, 3546, 3116, 912, 7386, 1225, 318, 3650, 815, 1225, 318, 3650, 12785, 454, 2018, 3116, 912, 3546, 2736, 692, 1038, 2132, 2212, 19638, 0, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 574, 921, 618, 268, 1598, 1598, 13045, 258, 570, 7495, 302, 281, 2285, 513, 3070, 7531, 5035, 8827, 912, 825, 1219, 1193, 18360, 4311, 267, 18720, 23637, 281, 1193, 267, 13549, 281, 1193, 264, 9847, 703, 912, 1038, 952, 711, 18720, 23637, 912, 2018, 2132, 910, 272, 692, 1038, 585, 4994, 267, 1347, 538, 26246, 22607, 599, 23637, 2187, 2018, 952, 13549, 314, 271, 316, 2652, 1347, 912, 3546, 585, 1016, 16229, 267, 1775, 538, 26246, 263, 928, 539, 548, 314, 272, 281, 316, 2187, 7386, 952, 4994, 1341, 1016, 16229, 1341, 476, 272, 2999, 7003, 22607, 599, 23637, 2187, 13376, 952, 1775, 11203, 18720, 23637, 27709, 1341, 1016, 16229, 1341, 476, 272, 14158, 23351, 2736, 454, 7386, 3116, 912, 13376, 2132, 910, 272, 454, 3546, 3116, 912, 7386, 2132, 4994, 692, 1038, 2132, 910, 272, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 269, 1598, 18360, 2891, 12711, 12711, 2580, 834, 12711, 12711, 320, 27363, 825, 1820, 4433, 1828, 269, 1598, 18360, 2891, 15916, 2580, 834, 25900, 27363, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 30220, 7531, 3698, 1292, 10031, 476, 1948, 17270, 1032, 6824, 4358, 689, 5162, 1151, 560, 823, 454, 22322, 476, 1948, 11261, 540, 5162, 1151, 560, 823, 538, 476, 1001, 276, 454, 476, 2588, 322, 1001, 276, 310, 5793, 22069, 560, 823, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 1321, 268, 2420, 476, 6860, 281, 4366, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 22322, 476, 1948, 30991, 540, 606, 24666, 1032, 454, 476, 1032, 291, 4851, 284, 323, 520, 8135, 6745, 574, 539, 12265, 5560, 904, 284, 18458, 269, 26237, 276, 994, 22322, 476, 1948, 11261, 540, 519, 4605, 454, 476, 2588, 322, 14630, 8170, 303, 27348, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 5881, 268, 1626, 476, 866, 281, 2004, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 476, 1948, 583, 322, 14630, 8170, 303, 27348, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 6021, 268, 2537, 476, 866, 281, 2004, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 8931, 476, 1033, 320, 11742, 284, 583, 322, 14630, 8170, 303, 27348, 268, 583, 322, 1001, 276, 310, 5793, 22069, 560, 823, 454, 22322, 476, 1820, 263, 583, 322, 1001, 276, 310, 5793, 22069, 560, 823, 994, 476, 1820, 12169, 792, 291, 4851, 994, 476, 1820, 263, 583, 322, 14630, 8170, 303, 27348, 994, 476, 1820, 5560, 9508, 11742, 994, 476, 1820, 5560, 9508, 11742, 270, 20204, 291, 4851, 994, 22322, 22322, 258, 476, 5785, 14343, 734, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1292, 10797, 692, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 476, 7531, 3698, 1292, 10031, 476, 585, 513, 538, 2039, 263, 272, 267, 1911, 2187, 825, 585, 536, 538, 2039, 263, 272, 267, 1911, 2187, 8587, 585, 524, 538, 2039, 263, 272, 267, 1911, 2187, 1038, 521, 30381, 265, 320, 17070, 265, 321, 25239, 265, 322, 454, 1038, 952, 630, 11274, 4433, 268, 1911, 876, 264, 283, 273, 2187, 16875, 1820, 19304, 4433, 11924, 9899, 834, 266, 1598, 5416, 11924, 257, 834, 266, 1598, 6357, 11924, 257, 834, 266, 1598, 6262, 11723, 258, 476, 5785, 14343, 734, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1292, 4590, 0, 5814, 21795, 607, 19073, 692, 258, 8794, 17455, 553, 547, 1224, 26417, 6119, 454, 311, 815, 19073, 18667, 32269, 2891, 11907, 318, 273, 323, 27406, 2580, 20927, 815, 7183, 994, 2745, 263, 6943, 11583, 4917, 2745, 11583, 29335, 15405, 258, 1729, 917, 519, 9343, 454, 2745, 11583, 23584, 15405, 2745, 11583, 23584, 263, 274, 11723, 258, 935, 31844, 547, 5119, 454, 332, 815, 2473, 269, 11161, 454, 2745, 263, 6943, 9852, 4917, 258, 326, 1161, 6241, 2418, 540, 782, 5036, 454, 2745, 263, 6943, 11583, 314, 271, 8079, 2020, 258, 1729, 1205, 9343, 454, 2745, 11583, 269, 559, 665, 314, 271, 7481, 2745, 11583, 7456, 665, 314, 274, 20285, 258, 1729, 1205, 476, 271, 543, 476, 273, 526, 9587, 692, 2745, 11583, 314, 314, 271, 267, 273, 316, 7481, 2745, 11583, 314, 311, 314, 271, 316, 283, 276, 8079, 0, 5814, 11885, 607, 5286, 692, 2993, 815, 1496, 272, 267, 273, 267, 274, 2639, 288, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 20285, 1721, 1775, 538, 15073, 912, 825, 1820, 9217, 2020, 1721, 1775, 538, 589, 912, 825, 1820, 9217, 2020, 2993, 6910, 263, 275, 994, 2993, 6910, 263, 276, 2020, 2745, 263, 2993, 2020, 258, 514, 1931, 585, 4946, 1142, 3693, 547, 621, 538, 1592, 649, 723, 547, 8520, 627, 8811, 322, 568, 711, 2556, 538, 11885, 692, 331, 273, 815, 11713, 1721, 1775, 538, 15073, 912, 825, 561, 273, 6910, 9217, 266, 328, 994, 2745, 10857, 273, 2020, 258, 9795, 1840, 454, 2745, 10490, 266, 288, 994, 2745, 263, 273, 265, 288, 2020, 258, 20123, 328, 6473, 29156, 519, 1592, 454, 2745, 263, 273, 265, 331, 273, 2020, 331, 274, 815, 11713, 1721, 1775, 538, 561, 273, 912, 825, 561, 274, 6910, 9217, 1262, 273, 2020, 2745, 10857, 274, 994, 2745, 10490, 1262, 273, 2020, 2745, 18828, 28460, 10490, 4917, 2745, 18828, 269, 10339, 10490, 4917, 2745, 18828, 28802, 10490, 4297, 0, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 1477, 337, 815, 521, 337, 10611, 1815, 1758, 6500, 31476, 258, 1326, 3593, 3403, 585, 32197, 5897, 12803, 529, 16591, 815, 8771, 1477, 6112, 3758, 529, 16591, 2652, 8771, 6769, 825, 1820, 2891, 11767, 32197, 281, 834, 3418, 825, 3593, 18316, 815, 3403, 31476, 825, 2119, 6769, 1038, 3758, 318, 15953, 476, 815, 1930, 263, 12528, 18316, 3418, 1038, 1820, 2891, 17572, 1336, 257, 10142, 825, 4849, 1401, 4003, 607, 552, 6769, 1038, 1820, 2891, 2750, 4003, 281, 834, 1341, 1598, 16216, 264, 10142, 825, 1948, 21671, 1930, 952, 568, 530, 822, 3758, 1477, 825, 1820, 630, 12803, 318, 15953, 20508, 3418, 825, 952, 3758, 318, 15953, 20508, 269, 1742, 5976, 3488, 269, 342, 822, 262, 8029, 1363, 1820, 2891, 529, 530, 822, 14744, 1363, 3758, 529, 16591, 18989, 1477, 825, 3116, 6769, 1038, 1820, 2891, 529, 711, 5951, 269, 2119, 1586, 14744, 1038, 1948, 1410, 527, 3890, 476, 24653, 14588, 3663, 339, 284, 338, 337, 6993, 644, 1470, 17572, 263, 12528, 18316, 3418, 5976, 4633, 339, 607, 2707, 6769, 825, 8301, 815, 678, 269, 13440, 867, 4433, 1830, 3418, 339, 787, 6769, 825, 521, 815, 678, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 3418, 825, 1820, 2891, 17806, 281, 834, 266, 338, 3418, 21955, 1401, 4003, 607, 552, 6769, 825, 1820, 2891, 2750, 4003, 281, 834, 266, 1598, 16216, 264, 10142, 2745, 2891, 11767, 6206, 5320, 281, 834, 10142, 258, 4486, 5320, 815, 834, 4134, 326, 755, 532, 29177, 4486, 5320, 815, 3403, 31476, 2745, 2891, 7659, 5320, 281, 834, 1341, 4486, 5320, 10142, 4486, 12248, 815, 521, 29644, 31107, 5320, 10142, 2745, 2891, 7659, 12248, 281, 834, 1341, 1598, 31107, 12248, 17903, 0, 258, 30352, 267, 10002, 22326, 267, 4632, 692, 5228, 19523, 1104, 2415, 341, 567, 1948, 10912, 606, 1104, 547, 1039, 19523, 9074, 630, 331, 3869, 264, 689, 9226, 282, 989, 337, 341, 6763, 585, 4661, 4756, 543, 621, 3180, 519, 7440, 596, 1780, 547, 5124, 7097, 454, 27771, 267, 1101, 267, 2034, 267, 3791, 267, 8772, 815, 2415, 341, 1948, 713, 4971, 1491, 8726, 538, 989, 337, 341, 267, 10002, 871, 621, 267, 543, 3651, 621, 547, 519, 4632, 593, 519, 2451, 538, 1931, 692, 2745, 2891, 1492, 7097, 1572, 24333, 7097, 994, 2745, 2891, 20365, 1101, 15254, 2967, 762, 568, 24333, 1101, 994, 2745, 2891, 20365, 2034, 4756, 568, 24333, 2034, 994, 2745, 2891, 20365, 3791, 4756, 568, 24333, 3791, 994, 2745, 2891, 20365, 8772, 4756, 568, 2580, 8772, 994, 0, 258, 1592, 543, 8520, 692, 1492, 18045, 815, 1496, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 316, 476, 1948, 1818, 513, 1592, 454, 325, 21209, 815, 18358, 1952, 956, 3299, 1412, 528, 5190, 3299, 1412, 701, 1513, 3299, 1412, 777, 878, 1824, 23300, 4219, 815, 1496, 272, 267, 1412, 335, 3317, 625, 3299, 476, 273, 267, 1412, 323, 1307, 3299, 476, 274, 267, 1412, 18392, 23300, 6339, 1540, 8217, 815, 20886, 272, 267, 476, 273, 267, 476, 274, 3910, 18358, 1889, 3299, 1412, 9767, 3299, 1412, 29442, 11172, 316, 1948, 1118, 513, 1592, 538, 513, 1592, 692, 258, 585, 2000, 17274, 692, 1721, 1297, 538, 519, 18045, 281, 567, 1948, 10416, 8380, 834, 1492, 18045, 257, 9115, 538, 4756, 834, 15893, 4840, 825, 1820, 6600, 21893, 568, 1293, 2715, 15893, 348, 15419, 1721, 4829, 538, 5613, 912, 825, 1820, 6600, 21202, 4829, 540, 1826, 2715, 26258, 348, 15419, 1721, 1775, 538, 1689, 912, 825, 1820, 6600, 19285, 3893, 2715, 328, 348, 15419, 1721, 6221, 538, 2121, 1540, 8217, 912, 825, 1820, 6600, 257, 346, 14403, 348, 2982, 875, 547, 1592, 538, 513, 1592, 1701, 264, 476, 1948, 713, 786, 2132, 281, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 2982, 875, 547, 1592, 538, 513, 1592, 563, 14030, 14030, 672, 1948, 18358, 1889, 3299, 1412, 9767, 3299, 1412, 29442, 11172, 2982, 875, 547, 1592, 538, 513, 1592, 780, 324, 6123, 815, 32582, 476, 1948, 1118, 606, 8900, 1592, 692, 1721, 1775, 538, 2039, 263, 271, 267, 476, 277, 2567, 476, 1948, 2322, 519, 2338, 538, 519, 2039, 540, 476, 271, 547, 476, 276, 3330, 4756, 834, 328, 4840, 825, 1820, 6600, 257, 29002, 2715, 328, 348, 547, 519, 1592, 23528, 825, 2609, 6910, 9217, 264, 1948, 16289, 786, 1039, 9115, 538, 834, 328, 257, 547, 519, 8900, 1592, 834, 324, 6123, 5016, 1721, 1775, 538, 2609, 912, 825, 1820, 6600, 257, 292, 2211, 729, 281, 2715, 328, 348, 15419, 21745, 1080, 815, 29129, 1721, 9704, 538, 2039, 263, 271, 267, 476, 277, 2187, 825, 1820, 6600, 257, 6034, 569, 1039, 2715, 21745, 1080, 348, 547, 8900, 1592, 5602 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 539, 909, 547, 7366, 540, 844, 23605, 563, 6124, 13339, 2861, 7061, 11353, 3132, 22726, 602, 949, 1683, 519, 4493, 585, 7061, 4950, 543, 17747, 5904, 267, 4080, 538, 4873, 476, 1708, 273, 454, 12867, 693, 4516, 779, 17363, 2605, 6471, 2160, 723, 3144, 513, 1007, 1413, 693, 13339, 1107, 606, 3693, 2907, 693, 519, 8998, 540, 2413, 2780, 13365, 1107, 547, 1118, 7061, 11353, 267, 610, 968, 638, 23605, 6100, 2290, 1935, 267, 3370, 538, 7186, 267, 568, 547, 946, 519, 968, 31688, 517, 1606, 11017, 892, 3812, 676, 12889, 538, 13339, 607, 513, 24923, 269, 1975, 514, 568, 606, 17271, 3959, 540, 5536, 899, 22726, 267, 799, 568, 513, 1826, 540, 16070, 11610, 269, 3487, 2873, 666, 581, 2219, 540, 607, 18343, 899, 513, 1283, 1107, 519, 5536, 616, 2901, 18343, 909, 610, 1524, 630, 3697, 7432, 519, 1283, 26700, 1524, 1040, 5455, 543, 1524, 666, 4061, 581, 12261, 883, 3283, 543, 4642, 525, 563, 19853, 1382, 267, 3370, 538, 7186, 2073, 6257, 741, 7422, 540, 936, 476, 5611, 267, 1822, 13339, 2048, 307, 8998, 685, 27141, 1606, 11017, 844, 23605, 267, 606, 1271, 24182, 602, 796, 331, 4169, 7525, 3255, 547, 4020, 2527, 1947, 27249, 7061, 5904, 543, 519, 7061, 4950, 602, 786, 1921, 873, 563, 303, 770, 1382, 814, 8612, 602, 13339, 666, 3132, 930, 540, 519, 1034, 7123, 543, 1279, 24331, 844, 23605, 538, 519, 2872, 269, 3767, 519, 1382, 3370, 676, 12253, 11612, 6265, 321, 18847, 267, 5981, 918, 24642, 329, 1014, 267, 543, 1071, 22052, 4243, 2488, 6169, 540, 6240, 602, 570, 18013, 267, 513, 1808, 561, 29061, 1417, 8919, 538, 13339, 267, 666, 1683, 513, 2048, 31688, 4577, 3095, 685, 1063, 844, 23605, 269, 901, 2501, 856, 540, 519, 24700, 308, 28541, 17747, 5303, 6997, 538, 24700, 308, 779, 8212, 4972, 267, 1071, 21445, 676, 5153, 7315, 773, 3244, 332, 976, 267, 4516, 3194, 17348, 538, 28541, 17747, 16370, 543, 7812, 634, 342, 5306, 267, 7905, 9622, 7978, 563, 22154, 960, 568, 519, 1101, 6482, 540, 2582, 570, 18013, 514, 10072, 267, 543, 2965, 267, 519, 1101, 6482, 540, 1022, 2582, 8095, 538, 13339, 547, 581, 5340, 609, 1152, 9804, 7403, 2223, 3081, 5153, 7315, 773, 3244, 332, 976, 563, 2108, 2304, 900, 7867, 899, 519, 570, 8998, 602, 10905, 1164, 26024, 8095, 844, 23605, 543, 9804, 27141, 5108, 568, 4998, 547, 1118, 27249, 267, 7856, 267, 7061, 5904, 267, 1317, 789, 666, 6023, 519, 4393, 543, 519, 10618, 1927, 267, 2864, 982, 17596, 547, 8818, 1079, 1114, 7061, 4066, 267, 835, 585, 4393, 543, 835, 585, 10618, 2223, 3244, 332, 976, 3081, 563, 1103, 1840, 267, 570, 18013, 723, 519, 5413, 540, 32749, 1769, 693, 519, 1482, 15423, 602, 2221, 779, 23195, 20249, 10618, 543, 7658, 1260, 13033, 3937, 946, 563, 2108, 4415, 570, 18013, 267, 596, 666, 1628, 7061, 21932, 602, 20244, 5968, 609, 824, 21932, 2223, 3244, 332, 976, 3081, 269, 968, 2691, 707, 13339, 844, 4226, 666, 5968, 676, 32749, 22726, 630, 2775, 264, 538, 519, 1482, 6512, 1031, 538, 1239, 18013, 543, 6775, 5121, 267, 596, 1205, 891, 1482, 2640, 585, 8220, 519, 6634, 540, 844, 23605, 2877, 585, 7061, 7384, 3034, 6635, 337, 2526, 540, 28541, 1759, 7061, 7471, 11387, 454, 303, 1886, 7859, 540, 519, 13339, 4480, 1294, 2101, 5383, 538, 1210, 513, 19202, 547, 3009, 844, 23605, 269, 1358, 666, 581, 26203, 1454, 811, 3274, 1210, 18784, 3167, 5012, 31960, 1318, 5196, 519, 13863, 269, 1656, 952, 519, 1482, 1804, 8397, 5663, 2553, 585, 1818, 13365, 1223, 581, 11843, 547, 519, 7061, 7706, 267, 621, 1223, 1831, 4443, 547, 2490, 519, 2029, 883, 5010, 2472, 563, 4913, 267, 10128, 18328, 5308, 11418, 543, 13339, 2861, 844, 23605, 883, 513, 2582, 267, 1395, 18070, 13863, 12235, 1082, 2591, 269, 769, 930, 24947, 267, 966, 299, 10485, 2029, 267, 7064, 547, 922, 1445, 593, 10893, 519, 1764, 540, 1184, 8390, 267, 18715, 513, 1377, 540, 10063, 322, 2225, 602, 1100, 824, 2872, 666, 1683, 269, 1717, 267, 538, 519, 7061, 7706, 267, 13260, 4203, 2231, 513, 1454, 2362, 4110, 540, 2956, 269, 4634, 513, 2582, 10570, 7400, 8919, 630, 1721, 1383, 538, 519, 2298, 540, 519, 17103, 610, 519, 19454, 543, 16358, 6541, 540, 519, 1570, 264, 949, 1291, 7061, 3457, 547, 1685, 1360, 8335, 563, 7212, 1312, 4066, 666, 581, 14475, 1210, 4540, 13339, 4853, 3157, 267, 891, 3157, 4867, 4125, 1114, 6639, 9136, 282, 602, 568, 267, 789, 2308, 5594, 1114, 4393, 4441, 543, 10873, 693, 519, 5663, 3942, 269, 589, 1455, 968, 5035, 673, 6709, 656, 636, 892, 6843, 786, 723, 547, 581, 2919, 543, 19597, 730, 547, 3132, 10316, 7061, 11387, 693, 4336, 563, 17359, 5610, 849, 10522, 602, 1312, 4066, 786, 723, 547, 7500, 693, 519, 1482, 2837, 269, 901, 1966, 568, 1875, 2389, 337, 20190, 2016, 602, 844, 23605, 7500, 1732, 693, 2620, 3956, 8328, 5210, 630, 320, 1906, 1984, 1731, 601, 9109, 1070, 1247, 519, 1699, 3631, 585, 7471, 2275, 1844, 3726, 1374, 616, 10355, 4977, 585, 5210, 2630, 476, 736, 918, 269, 4197, 519, 7180, 540, 13339, 27820, 630, 32355, 607, 3059, 610, 607, 1387, 4084, 5547, 2609, 264, 693, 1984, 1731, 601, 9109, 5210, 786, 2154, 513, 1646, 4674, 540, 922, 1378, 269, 1677, 1489, 602, 4674, 267, 3173, 786, 991, 547, 1020, 5730, 3631, 602, 666, 581, 16865, 883, 4540, 5907, 2780, 8584, 3660, 1374, 2645, 563, 4504, 601, 645, 1115, 898, 2052, 12414, 28064, 28541, 883, 17747, 17270, 779, 24090, 7698, 454, 4504, 601, 779, 13339, 844, 23605, 2099, 1239, 538, 513, 7061, 3959, 1572, 519, 968, 4944, 514, 892, 540, 513, 2582, 6475, 16290, 3330, 513, 9168, 4528, 540, 519, 27820, 538, 922, 4540, 5010, 13365, 269, 968, 763, 4126, 568, 602, 952, 649, 1118, 519, 1655, 27820, 267, 1287, 609, 513, 1906, 1570, 543, 1374, 2242, 649, 666, 1118, 519, 1655, 844, 23605, 2223, 3081, 22548, 651, 269, 634, 1374, 540, 519, 8095, 844, 4226, 21932, 3810, 20998, 519, 2757, 13339, 24923, 4066, 269, 2755, 972, 616, 1883, 3621, 543, 4702, 2591, 6967, 547, 4336, 713, 2029, 267, 27311, 814, 519, 3937, 543, 5989, 689, 5756, 540, 5958, 908, 27820, 693, 4336, 563, 763, 2754, 5063, 7000, 922, 17646, 5006, 7061, 13863, 2943, 1700, 527, 779, 865, 1507, 602, 621, 666, 1694, 20354, 593, 513, 15513, 2144, 6471, 269, 634, 13863, 568, 13324, 676, 844, 23605, 602, 616, 1142, 811, 982, 513, 8536, 2053, 4130, 982, 513, 2582, 18843, 540, 4552, 269, 769, 513, 6093, 21367, 532, 7061, 2780, 267, 844, 23605, 2661, 538, 1507, 17787, 540, 21367, 532, 5911, 22799, 547, 1360, 1970, 5210, 269, 27311, 779, 24923, 6954, 13863, 12346, 593, 513, 811, 19242, 267, 11593, 2139, 267, 543, 30883, 24207, 569, 2757, 5057, 281, 13339, 269, 2368, 3173, 2161, 519, 27164, 3693, 602, 6273, 606, 2872, 630, 663, 513, 14165, 267, 513, 8013, 8027, 2344, 267, 543, 513, 8613, 1397, 264, 1522, 581, 1883, 585, 519, 1985, 5123, 540, 7061, 7384, 563, 4504, 601, 814, 11827, 513, 8095, 844, 4226, 21753, 2095, 593, 922, 476, 4968, 6515, 1184, 2029, 1210, 13666, 641, 1227, 6986, 530, 2378, 619, 21433, 4481, 585, 519, 2504, 540, 8095, 6709, 4226, 1449, 13365, 269, 28577, 730, 538, 519, 1482, 9744, 607, 27311, 779, 4359, 24923, 4066, 267, 27311, 568, 1631, 4152, 519, 3355, 530, 2378, 619, 269, 10738, 513, 7008, 540, 3275, 267, 27311, 26770, 547, 581, 6721, 1082, 530, 2378, 619, 829, 3018, 267, 1142, 609, 5215, 540, 1507, 844, 4226, 14249, 563, 763, 1007, 1184, 602, 2337, 27311, 4603, 609, 13339, 844, 23605, 593, 3044, 13863, 530, 2378, 619, 267, 2919, 609, 519, 2326, 3549, 772, 1066, 1723, 543, 5794, 700, 1172, 728, 267, 1058, 948, 3432, 909, 922, 1382, 267, 3081, 12448, 667, 345, 3120, 330, 267, 945, 1568, 593, 13339, 844, 23605, 693, 519, 2160, 540, 1715, 3162, 12986, 538, 5245, 269, 14992, 3384, 21367, 532, 844, 23605, 849, 1118, 873, 1210, 4540, 13863, 21753, 2409, 269, 1809, 519, 4611, 3457, 616, 3677, 982, 27820, 267, 543, 972, 568, 1100, 10959, 585, 875, 547, 5478, 543, 10189, 873, 909, 538, 1804, 2338, 267, 3081, 667, 345, 3120, 330, 563, 5194, 1883, 20159, 267, 8891, 3279, 11363, 267, 568, 968, 332, 1468, 267, 1570, 267, 1570, 1848, 1975, 514, 844, 23605, 2154, 24215, 2973, 13339, 267, 538, 2474, 540, 3114, 19454, 543, 13666, 8084, 23918, 563, 4504, 601, 779, 1895, 814, 4080, 602, 789, 666, 1631, 4494, 519, 16600, 1790, 675, 13339, 2877, 585, 513, 7061, 2780, 5196, 519, 3044, 530, 2378, 619, 1031, 538, 13863, 15327, 269, 589, 7061, 2780, 1131, 991, 547, 723, 5215, 610, 6634, 540, 844, 23605, 547, 581, 17618, 3730, 267, 543, 547, 1205, 547, 7366, 540, 5215, 540, 844, 23605, 267, 649, 786, 991, 6909, 4702, 10727, 267, 543, 602, 568, 519, 10689, 5658, 540, 519, 19202, 2872, 267, 2687, 547, 12448, 667, 345, 3120, 330, 267, 945, 1568, 593, 13339, 844, 23605, 693, 519, 2160, 540, 1715, 3162, 12986, 538, 5245, 3081, 269, 6271, 2601, 547, 960, 593, 13339, 844, 23605, 568, 602, 789, 1058, 581, 811, 6325, 982, 519, 21367, 532, 5973, 757, 563, 22068, 6625, 17747, 17270, 623, 1399, 269, 13456, 269, 630, 306, 304, 290, 264, 568, 2324, 547, 1711, 543, 5010, 1125, 513, 7061, 2780, 1759, 593, 1158, 6122, 8172, 7214, 3959, 9715, 689, 519, 8241, 10418, 540, 28742, 585, 17747, 6156, 566, 543, 9442, 5303, 630, 290, 304, 290, 273, 307, 1040, 1284, 723, 1305, 6000, 513, 12050, 20440, 281, 547, 1020, 513, 476, 1015, 6709, 4226, 7061, 7471, 5547, 18634, 538, 13339, 676, 476, 1708, 273, 563, 23797, 636, 18289, 21048, 2812, 476, 280, 29364, 13339, 844, 4226, 454, 23797, 636, 18289, 267, 513, 2185, 4458, 6040, 5177, 2861, 23492, 568, 9307, 538, 4728, 476, 1708, 272, 513, 7061, 7384, 14634, 267, 11744, 602, 513, 7123, 844, 4226, 666, 581, 2813, 593, 513, 3044, 13339, 13863, 267, 2147, 547, 1346, 1031, 538, 16389, 269, 1635, 9023, 519, 13863, 1524, 547, 513, 2837, 1175, 1657, 6207, 4642, 630, 6629, 24129, 9180, 1070, 543, 676, 1210, 6263, 27820, 267, 519, 17747, 18289, 2319, 941, 2111, 547, 20586, 513, 2582, 6475, 543, 2268, 922, 7061, 1533, 585, 606, 4230, 15929, 8370, 7643, 269, 634, 6602, 814, 1044, 9263, 24595, 538, 519, 3621, 4760, 11553, 311, 17747, 563, 11990, 18200, 517, 267, 7548, 540, 6289, 29741, 16361, 693, 772, 12710, 543, 1071, 325, 10133, 540, 17747, 18289, 1767, 519, 17747, 18289, 4480, 1223, 581, 968, 320, 29685, 547, 30246, 938, 1259, 547, 4853, 8397, 7061, 13863, 2504, 892, 26378, 883, 519, 2907, 4540, 13339, 13863, 2872, 269, 2986, 1576, 267, 17747, 18289, 814, 7152, 1175, 835, 844, 4226, 267, 799, 949, 711, 3100, 1360, 11141, 3379, 547, 519, 476, 2004, 266, 844, 23605, 602, 723, 1044, 6913, 676, 5616, 543, 22126, 563, 2108, 13828, 476, 272, 844, 4226, 543, 476, 2004, 844, 23605, 616, 3592, 8449, 2484, 2476, 689, 476, 272, 332, 269, 2368, 4066, 949, 581, 18334, 538, 3478, 547, 476, 1015, 610, 1256, 476, 2004, 844, 23605, 855, 1131, 6560, 1310, 602, 269, 634, 1883, 568, 547, 1265, 1945, 602, 568, 5963, 27249, 2223, 646, 5143, 590, 26661, 269, 2368, 540, 519, 7061, 7384, 4066, 949, 849, 581, 3833, 4439, 5652, 950, 596, 4336, 909, 547, 2789, 5215, 540, 844, 23605, 269, 1809, 538, 3069, 267, 513, 2929, 540, 17747, 18289, 779, 6475, 1606, 11017, 844, 23605, 1223, 581, 14095, 5196, 513, 476, 272, 9492, 4009, 13863, 269, 1411, 1131, 1869, 991, 519, 14969, 669, 28888, 1512, 6438, 21067, 547, 1832, 519, 13365, 693, 513, 6824, 540, 513, 737, 601, 9109, 1657, 6207, 4642, 267, 855, 1175, 835, 971, 21067, 2443, 2147, 538, 2450, 547, 513, 7746, 24646, 2443, 666, 3180, 1082, 13365, 563, 23797, 636, 18289, 568, 835, 540, 513, 1297, 540, 7061, 2780, 3549, 602, 616, 3843, 547, 1711, 7061, 7384, 3334, 856, 540, 811, 11593, 268, 19989, 2326, 269, 5177, 2861, 10758, 7563, 267, 585, 1383, 267, 568, 1210, 3044, 9804, 10814, 1031, 538, 519, 7658, 1260, 338, 2872, 547, 20586, 2582, 22726, 585, 946, 607, 844, 23605, 269, 6270, 606, 1935, 267, 952, 3811, 267, 1131, 13497, 6175, 519, 1942, 540, 2679, 513, 7061, 2780, 267, 689, 9937, 540, 6634, 540, 9489, 547, 1447, 982, 1269, 272, 332, 563, 27066, 543, 8249, 849, 1331, 281, 0, 19111, 5530, 540, 513, 9540, 17361, 681, 27654, 744 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 320, 539, 634, 10417, 454, 1993, 17520, 267, 519, 1101, 1163, 3789, 593, 4160, 269, 476, 7277, 279, 1107, 28599, 16456, 11832, 1912, 710, 553, 717, 720, 454, 17495, 513, 476, 274, 20356, 11425, 9141, 998, 1010, 2634, 543, 10265, 538, 606, 14885, 1161, 8009, 267, 18385, 454, 577, 4474, 1010, 7209, 267, 30507, 3621, 6644, 827, 2634, 3252, 1373, 454, 29985, 14184, 269, 476, 7277, 280, 1107, 590, 21417, 1066, 918, 1512, 651, 8615, 731, 3370, 634, 454, 306, 32169, 772, 660, 334, 12280, 269, 2525, 284, 6977, 271, 338, 2525, 23751, 6977, 273, 1107, 19555, 2335, 20769, 2763, 3370, 6481, 10017, 610, 25665, 540, 519, 31522, 563, 6977, 277, 1107, 19555, 2335, 20769, 2763, 3459, 13629, 1010, 476, 274, 31891, 3172, 636, 1566, 639, 631, 1731, 549, 330, 657, 21573, 630, 6977, 277, 1700, 5038, 13211, 1173, 5224, 602, 2067, 4031, 540, 538, 534, 1493, 3615, 4019, 547, 1480, 8186, 543, 4703, 855, 723, 519, 454, 10818, 540, 7175, 721, 547, 2832, 585, 519, 2418, 1305, 676, 519, 25976, 267, 3976, 1818, 4055, 585, 15312, 563, 6977, 280, 1107, 24839, 645, 686, 21103, 3370, 3004, 924, 7885, 1664, 1696, 634, 7764, 1664, 632, 700, 685, 20812, 3122, 773, 269, 2525, 284, 5908, 271, 338, 2525, 23751, 5908, 271, 338, 1107, 8071, 29234, 667, 1180, 619, 1101, 1031, 1480, 5114, 942, 547, 18505, 3604, 538, 5042, 454, 30112, 269, 476, 5908, 271, 1107, 29775, 822, 23323, 528, 3171, 1013, 518, 3370, 454, 292, 6123, 540, 5369, 2684, 12695, 267, 15713, 519, 1641, 540, 2618, 2684, 12695, 563, 5908, 272, 1107, 6754, 7935, 8619, 4362, 606, 1858, 538, 519, 2451, 19548, 21571, 602, 568, 1271, 454, 1721, 4633, 2504, 267, 1631, 1634, 607, 7935, 8619, 779, 1858, 267, 15713, 5778, 17595, 1108, 563, 5908, 280, 1107, 14731, 8895, 2023, 3370, 670, 1229, 3202, 2637, 3780, 267, 19163, 585, 552, 1872, 523, 923, 269, 1261, 4682, 593, 547, 454, 11398, 2618, 6248, 338, 267, 11186, 6530, 267, 543, 519, 30827, 8367, 540, 7209, 269, 2525, 284, 6942, 271, 338, 2525, 23751, 6942, 273, 1107, 19958, 1975, 531, 3429, 3370, 1010, 6602, 540, 5626, 29501, 532, 563, 6942, 275, 1107, 30247, 654, 1495, 339, 3370, 30421, 526, 345, 6686, 613, 3541, 28772, 860, 4593, 1156, 5369, 860, 773, 630, 7468, 514, 3321, 454, 1993, 4284, 8344, 10017, 1070, 519, 1101, 1837, 540, 8097, 6530, 563, 6942, 279, 1107, 717, 269, 26304, 8065, 729, 13752, 519, 1101, 12854, 593, 513, 5626, 1888, 689, 12370, 454, 263, 514, 6138, 1040, 476, 6942, 280, 1107, 30247, 654, 1495, 339, 8118, 519, 1101, 8097, 454, 17595, 1108, 8047, 693, 519, 2160, 540, 2274, 760, 345, 580, 538, 5125, 269, 2525, 284, 6642, 271, 338, 2525, 23751, 6642, 273, 1107, 634, 5980, 585, 5369, 673, 3194, 729, 8547, 538, 4789, 563, 6642, 274, 1107, 717, 269, 26304, 8065, 8118, 519, 1101, 1977, 8097, 6530, 1382, 454, 331, 1987, 2218, 693, 8592, 22846, 2160, 269, 476, 6642, 274, 1107, 2506, 559, 26689, 788, 601, 514, 3370, 3281, 754, 1756, 454, 1457, 5369, 9332, 4471, 269, 476, 6642, 275, 1107, 25909, 623, 822, 21754, 3459, 4974, 519, 9667, 454, 572, 17917, 540, 2831, 269, 476, 6642, 275, 1107, 29110, 4958, 974, 779, 15540, 729, 1101, 4330, 563, 6642, 276, 1107, 19555, 2335, 661, 25290, 27346, 3370, 3331, 506, 828, 546, 553, 717, 539, 7564, 19816, 23036, 630, 4002, 15350, 1070, 513, 14262, 454, 1740, 1759, 593, 1582, 7721, 704, 9323, 267, 1101, 10503, 519, 1565, 7455, 267, 30534, 7455, 267, 543, 454, 4944, 5217, 1198, 269, 476, 6642, 277, 1107, 3627, 1546, 28838, 3370, 519, 1101, 1977, 454, 3667, 1504, 593, 6530, 267, 11331, 10017, 269, 476, 6642, 277, 1107, 32157, 645, 2131, 6255, 699, 341, 3964, 519, 454, 14140, 8047, 540, 8097, 6530, 538, 6576, 693, 20673, 534, 2160, 563, 6642, 277, 1107, 590, 10176, 1495, 22506, 3459, 4357, 2259, 538, 21499, 563, 6642, 278, 1107, 9677, 18379, 553, 28228, 28705, 8118, 519, 476, 273, 526, 4436, 8097, 6530, 1382, 8047, 454, 514, 717, 7238, 339, 1154, 523, 269, 476, 6642, 278, 1107, 6723, 2558, 3518, 1638, 700, 5417, 630, 312, 1446, 264, 3370, 454, 292, 6123, 540, 4284, 8344, 10017, 267, 519, 1101, 1977, 1837, 547, 1331, 513, 8101, 454, 26920, 540, 1344, 593, 519, 1007, 8097, 1106, 540, 519, 9015, 563, 6642, 278, 1107, 6276, 21025, 8696, 595, 3430, 749, 8547, 606, 8097, 6530, 8047, 693, 519, 2160, 540, 454, 303, 523, 11796, 267, 519, 476, 274, 6113, 538, 519, 2136, 2276, 269, 476, 6642, 278, 1107, 717, 269, 26304, 8065, 8547, 519, 1977, 454, 22711, 540, 10017, 609, 513, 1269, 4335, 9295, 13859, 676, 7917, 623, 8986, 718, 8055, 540, 519, 1977, 454, 306, 1539, 1214, 585, 5369, 673, 3194, 269, 476, 6642, 279, 1107, 5261, 8899, 324, 21563, 534, 8547, 519, 2136, 454, 1805, 919, 685, 476, 275, 628, 8097, 6530, 8047, 693, 18518, 2160, 563, 6642, 279, 1107, 9478, 808, 770, 992, 8547, 519, 2136, 2276, 685, 476, 276, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 16855, 1700, 32743, 2581, 269, 476, 6642, 279, 1107, 717, 269, 26304, 8065, 2451, 8592, 22846, 454, 1721, 519, 24164, 540, 519, 9241, 8547, 18412, 2160, 538, 1937, 31569, 267, 7136, 563, 6642, 280, 1107, 6276, 4460, 25930, 7773, 3370, 519, 1101, 4320, 540, 1010, 18361, 540, 10017, 2676, 339, 12822, 968, 306, 1619, 543, 2271, 5878, 6100, 476, 6642, 280, 1107, 31611, 5842, 5112, 267, 513, 5449, 2875, 454, 1993, 717, 269, 26304, 8065, 8547, 519, 2136, 2276, 685, 476, 277, 628, 8097, 6530, 8047, 693, 454, 5141, 1046, 2160, 269, 476, 6642, 280, 1107, 11977, 21582, 956, 8547, 519, 2136, 454, 1805, 919, 685, 476, 278, 628, 8097, 6530, 8047, 693, 519, 32511, 6756, 1306, 23796, 538, 654, 11232, 2917, 267, 7136, 563, 6642, 280, 1107, 16452, 17340, 651, 16423, 324, 8547, 519, 2136, 2276, 685, 476, 279, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 27228, 269, 2525, 284, 6245, 271, 338, 2525, 23751, 6245, 271, 1107, 4168, 13153, 661, 327, 1066, 325, 1564, 3370, 2201, 519, 19120, 885, 540, 4813, 267, 15713, 30123, 5306, 454, 17595, 1108, 269, 476, 6245, 271, 1107, 5261, 6276, 3370, 634, 14362, 454, 1993, 10017, 269, 476, 6245, 271, 1107, 6276, 15917, 6577, 16515, 30835, 8547, 519, 2136, 454, 1805, 919, 685, 476, 280, 628, 8097, 6530, 8047, 693, 519, 2160, 540, 12309, 563, 6245, 271, 1107, 717, 269, 570, 269, 654, 269, 18536, 8547, 519, 2136, 2276, 685, 476, 1015, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 19578, 269, 476, 6245, 271, 1107, 6276, 21025, 8696, 595, 3430, 749, 2451, 12425, 454, 1721, 12052, 2160, 1141, 646, 8547, 519, 2136, 2276, 685, 476, 1556, 628, 8097, 6530, 454, 331, 1987, 2218, 269, 476, 6245, 271, 1107, 6276, 4460, 25930, 7773, 8547, 519, 1101, 454, 704, 2006, 550, 8097, 6530, 8047, 538, 519, 3703, 7276, 693, 519, 2160, 540, 454, 307, 528, 15193, 269, 476, 6245, 272, 1107, 7671, 4911, 749, 8547, 519, 2136, 2276, 20371, 1321, 628, 8097, 6530, 8047, 693, 519, 26658, 2160, 563, 6245, 272, 1107, 3798, 10542, 654, 6856, 3405, 1188, 4330, 519, 654, 6856, 3405, 1188, 1198, 267, 1141, 1004, 6659, 2038, 454, 514, 1272, 538, 2673, 6469, 16133, 2663, 1831, 964, 31731, 1242, 547, 2673, 4638, 16007, 2676, 24597, 6436, 827, 519, 1651, 652, 9184, 5622, 269, 476, 6245, 273, 1107, 717, 269, 26304, 8065, 1696, 620, 269, 8547, 519, 454, 13563, 16723, 5948, 630, 4338, 288, 1040, 476, 6245, 273, 1107, 11977, 17659, 5112, 25315, 7770, 518, 3576, 513, 454, 2889, 13940, 11208, 693, 26658, 2160, 267, 13868, 7671, 4911, 749, 945, 2451, 585, 18628, 2160, 563, 6245, 273, 1107, 11977, 24747, 518, 23075, 8547, 519, 8097, 6530, 8047, 693, 454, 312, 1446, 2160, 267, 519, 476, 866, 628, 538, 2136, 2276, 269, 476, 6245, 273, 1700, 6245, 274, 1107, 8176, 589, 269, 16200, 8118, 519, 454, 23024, 14939, 6530, 8047, 693, 519, 2160, 540, 9628, 267, 519, 476, 736, 628, 538, 519, 2136, 454, 1805, 919, 267, 693, 799, 6276, 18007, 1633, 4911, 749, 5342, 519, 1101, 6901, 540, 6198, 1143, 538, 454, 6245, 277, 269, 476, 6245, 275, 1107, 20152, 4469, 1195, 25169, 14315, 729, 519, 1101, 454, 30513, 547, 581, 11292, 513, 1912, 6185, 269, 538, 10017, 1310, 1352, 6594, 896, 661, 269, 645, 269, 25315, 7770, 518, 693, 454, 290, 1941, 749, 2160, 269, 476, 6245, 275, 1107, 6276, 21025, 8696, 595, 3430, 749, 543, 6276, 4460, 454, 289, 12245, 7773, 8547, 519, 16723, 5623, 547, 14526, 609, 8065, 779, 1977, 4750, 540, 10017, 563, 6245, 276, 1107, 29775, 1511, 2274, 12844, 3370, 634, 18844, 323, 281, 589, 5530, 540, 519, 15019, 9650, 563, 6245, 277, 1107, 3627, 1546, 28838, 3370, 519, 1957, 634, 4676, 2716, 20211, 10417, 538, 10017, 267, 15713, 454, 25791, 2623, 1143, 269, 476, 6245, 277, 1107, 634, 1101, 5626, 16758, 729, 454, 641, 2989, 693, 519, 2160, 540, 12425, 676, 8752, 1676, 31864, 1067, 282, 4352, 1419, 9976, 454, 553, 16287, 519, 4332, 540, 4791, 6530, 267, 621, 729, 5059, 5097, 593, 3872, 6927, 563, 6245, 277, 1107, 11977, 645, 269, 25315, 7770, 518, 267, 2875, 540, 30247, 654, 1495, 339, 543, 5169, 1807, 540, 519, 2474, 968, 560, 24780, 1143, 7536, 663, 968, 10818, 16117, 892, 3370, 1323, 20895, 540, 10017, 563, 6245, 278, 1107, 12794, 767, 1442, 32762, 3370, 20351, 769, 11437, 269, 476, 6245, 279, 1107, 16907, 529, 28788, 529, 3370, 634, 10017, 454, 1993, 21909, 542, 281, 589, 3194, 883, 519, 4427, 10940, 7186, 540, 2494, 543, 5980, 563, 6245, 280, 1107, 2201, 476, 275, 5437, 590, 10176, 1495, 22506, 3370, 634, 28604, 540, 14134, 338, 630, 291, 773, 3004, 636, 1372, 583, 2426, 13211, 5658, 532, 519, 4098, 540, 25164, 4519, 267, 799, 8942, 547, 4308, 609, 519, 744, 539, 7625, 1950, 269, 2525, 23562, 12351, 2540, 4499, 284, 5002, 271, 338, 2525, 23751, 5002, 272, 1107, 590, 10176, 1495, 22506, 3370, 634, 5369, 31752, 540, 28064, 5020, 563, 5002, 274, 1107, 3627, 645, 269, 23846, 21783, 689, 519, 2160, 540, 9628, 282, 1010, 12031, 593, 454, 7806, 2623, 814, 1044, 4330, 607, 513, 968, 5035, 545, 540, 11095, 2618, 984, 5735, 892, 676, 14787, 454, 1993, 6530, 18496, 667, 31974, 12064, 269, 476, 5002, 274, 1107, 24796, 16399, 26741, 2917, 3370, 454, 615, 25719, 12031, 267, 634, 10076, 3004, 1080, 540, 11557, 267, 585, 799, 1352, 1185, 5342, 519, 1101, 454, 23024, 14939, 1449, 540, 3023, 3604, 269, 476, 5002, 275, 1107, 25909, 623, 822, 21754, 4465, 519, 17587, 15356, 585, 454, 20130, 2090, 540, 14555, 269, 901, 729, 519, 1101, 15356, 2016, 585, 1382, 7550, 676, 454, 17595, 5505, 269, 476, 5002, 275, 1107, 8176, 4325, 1301, 534, 3370, 519, 2376, 454, 14197, 11106, 538, 519, 1977, 4750, 540, 10017, 267, 10962, 519, 575, 3815, 3069, 454, 1993, 4987, 269, 476, 5002, 276, 1107, 21238, 645, 6839, 543, 31187, 17363, 2813, 454, 1492, 645, 6839, 4149, 30266, 4336, 547, 2697, 1053, 17596, 3063, 948, 267, 16287, 519, 4098, 454, 1993, 13387, 5626, 4152, 269, 476, 5002, 276, 1107, 11977, 18897, 526, 833, 3370, 519, 1876, 454, 1993, 1198, 269, 476, 5002, 276, 1107, 590, 10176, 1495, 22506, 3370, 8422, 10749, 454, 517, 519, 7869, 540, 11557, 7081, 269, 476, 5002, 277, 1107, 634, 4750, 540, 2806, 7538, 10017, 454, 13195, 8547, 676, 18200, 517, 13584, 267, 585, 799, 16907, 529, 28788, 529, 729, 606, 12314, 9375, 543, 1713, 454, 4186, 1026, 12460, 269, 476, 5002, 279, 1107, 590, 10176, 1495, 22506, 3370, 519, 1957, 454, 4002, 519, 20351, 28636, 540, 5753, 267, 10962, 519, 1523, 540, 4050, 529, 679, 11803, 282, 646, 849, 3370, 454, 1492, 1957, 2048, 290, 2753, 1242, 685, 20351, 5651, 1275, 543, 7073, 32471, 748, 29520, 563, 5002, 279, 1107, 12070, 15728, 570, 8527, 614, 3370, 519, 1101, 1957, 7713, 519, 23636, 15859, 563, 5002, 280, 1107, 590, 10176, 1495, 22506, 7898, 3293, 693, 18412, 2160, 267, 10888, 936, 519, 772, 2529, 269, 10661, 269, 2525, 284, 4489, 271, 338, 2525, 23751, 4489, 271, 1107, 590, 10176, 1495, 22506, 8547, 519, 4139, 5369, 15351, 3315, 3749, 5948, 630, 296, 5183, 1070, 609, 14161, 454, 297, 2426, 607, 519, 1101, 7022, 267, 543, 32572, 24419, 607, 519, 1101, 23122, 563, 4489, 271, 1107, 24553, 24796, 13573, 543, 808, 269, 14472, 534, 4752, 3370, 519, 13573 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1341, 263, 611, 1288, 264, 543, 2608, 263, 20123, 328, 6473, 264, 12427, 666, 581, 1031, 609, 12673, 607, 6677, 22760, 2209, 5897, 7078, 476, 272, 6769, 320, 815, 476, 280, 1477, 321, 815, 476, 274, 1477, 2745, 5416, 1341, 536, 264, 476, 5897, 7078, 476, 273, 6769, 320, 815, 476, 3445, 1477, 321, 815, 476, 1789, 1477, 2745, 5416, 910, 536, 10142, 7078, 476, 274, 6769, 320, 815, 476, 273, 1477, 321, 815, 476, 276, 1477, 2745, 5416, 2608, 536, 10142, 7078, 476, 275, 6769, 2745, 263, 15615, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 17903, 2745, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 3418, 2745, 17301, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 264, 10142, 7078, 476, 276, 6769, 2745, 2891, 17098, 834, 1341, 834, 14549, 9861, 257, 10142, 7078, 476, 277, 6769, 2745, 2891, 17098, 834, 2608, 476, 276, 267, 1439, 815, 27719, 333, 19530, 539, 19743, 476, 276, 2053, 14744, 5897, 4910, 1545, 6769, 272, 269, 4179, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 270, 7090, 10734, 553, 545, 318, 6016, 2209, 21867, 1477, 273, 269, 4179, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 7090, 268, 6016, 2209, 270, 1477, 274, 269, 4179, 2517, 4178, 269, 16753, 7090, 3820, 19841, 270, 21995, 318, 23330, 2209, 1477, 18851, 0, 258, 1691, 6480, 1192, 32136, 632, 1852, 281, 31807, 3380, 454, 258, 289, 16197, 1999, 785, 657, 630, 338, 629, 655, 657, 24140, 27053, 642, 320, 513, 10221, 597, 572, 264, 967, 9057, 514, 5964, 630, 323, 2570, 324, 632, 3288, 552, 329, 1815, 1075, 542, 1642, 1982, 320, 994, 258, 31624, 576, 585, 1547, 306, 842, 9471, 284, 585, 4756, 538, 3693, 334, 513, 973, 528, 17243, 30458, 1257, 334, 522, 678, 24546, 23241, 1721, 1775, 538, 1496, 272, 267, 273, 267, 274, 14158, 13537, 2891, 295, 7637, 8442, 8528, 1721, 1609, 30685, 525, 538, 22373, 1440, 9874, 591, 320, 14824, 591, 8457, 14824, 9369, 25123, 14824, 514, 22609, 7224, 257, 14158, 13537, 263, 652, 30685, 525, 9239, 258, 1428, 825, 5589, 528, 17243, 12673, 267, 9133, 334, 2039, 267, 711, 30685, 525, 1965, 2133, 525, 598, 1820, 692, 258, 1439, 791, 3234, 597, 635, 334, 796, 17611, 659, 1470, 6446, 1100, 2291, 324, 454, 1721, 1775, 538, 22373, 335, 843, 23768, 14824, 514, 845, 1738, 553, 2580, 476, 274, 14158, 13537, 2891, 3128, 328, 2580, 754, 6889, 834, 2020, 258, 574, 1440, 25504, 3288, 25314, 320, 18085, 21059, 632, 1286, 716, 31013, 6446, 18720, 679, 1714, 3693, 334, 513, 973, 528, 17243, 454, 1721, 1775, 538, 834, 9857, 534, 287, 335, 843, 23768, 514, 845, 1738, 553, 269, 525, 13426, 13537, 2891, 17098, 2580, 1439, 284, 3269, 2020, 692, 16942, 25716, 454, 14741, 10387, 841, 284, 6358, 2891, 4504, 28558, 8913, 25680, 764, 542, 4757, 281, 834, 2020, 1721, 1775, 538, 11465, 10387, 841, 912, 14851, 9217, 2525, 257, 287, 257, 2187, 453, 4757, 18989, 692, 258, 604, 4757, 2525, 12148, 567, 694, 865, 3691, 11230, 29868, 476, 2357, 323, 611, 3266, 476, 679, 825, 952, 4757, 912, 604, 4757, 912, 13537, 2891, 16942, 2953, 334, 5602, 12828, 912, 13537, 2891, 16942, 11234, 334, 834, 2020, 692, 258, 550, 337, 4673, 13121, 1654, 806, 476, 23313, 1958, 340, 550, 571, 818, 549, 9346, 586, 533, 2863, 334, 454, 4186, 11456, 284, 271, 454, 14741, 10387, 841, 284, 6358, 2891, 4504, 28558, 8913, 25680, 764, 542, 4757, 281, 19515, 1721, 1775, 538, 11465, 10387, 841, 912, 14851, 9217, 2525, 257, 287, 257, 610, 1775, 2525, 257, 1701, 2187, 453, 733, 11456, 284, 4186, 11456, 266, 272, 692, 604, 733, 11456, 2525, 273, 912, 13537, 2891, 16942, 2953, 334, 5602, 12828, 912, 13537, 2891, 16942, 11234, 334, 834, 2020, 258, 920, 320, 19448, 30458, 6446, 642, 320, 1642, 476, 271, 620, 24140, 520, 549, 454, 1721, 1775, 538, 2039, 263, 276, 2187, 13537, 9217, 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 ]
[ 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 268, 10619, 815, 910, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 265, 10619, 815, 476, 27944, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 270, 10619, 815, 476, 271, 269, 280, 3953, 28242, 28242, 28242, 28242, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 266, 4037, 815, 476, 13893, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 268, 4037, 815, 910, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 265, 4037, 815, 476, 276, 1704, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 270, 4037, 815, 476, 271, 269, 10844, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 266, 10602, 815, 476, 13970, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 268, 10602, 815, 910, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 265, 10602, 815, 476, 276, 2190, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 270, 10602, 815, 476, 271, 269, 3445, 278, 8660, 275, 278, 3607, 279, 5655, 10755, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 266, 6507, 815, 476, 16409, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 268, 6507, 815, 910, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 265, 6507, 815, 476, 276, 4029, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 270, 6507, 815, 476, 271, 269, 8660, 277, 9818, 8660, 277, 9818, 8660, 277, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 266, 4281, 815, 476, 15704, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 268, 4281, 815, 910, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 265, 4281, 815, 476, 276, 4343, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 270, 4281, 815, 476, 271, 269, 6434, 275, 277, 1428, 29575, 277, 1428, 29575, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 266, 8064, 815, 476, 16825, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 268, 8064, 815, 910, 1015, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 265, 8064, 815, 476, 276, 3393, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 270, 8064, 815, 476, 271, 269, 9262, 274, 275, 1704, 278, 2641, 276, 1240, 7176, 278, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 266, 3199, 815, 476, 14983, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 268, 3199, 815, 910, 1556, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 265, 3199, 815, 476, 4649, 273, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 270, 3199, 815, 476, 271, 269, 279, 7830, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 266, 10037, 815, 476, 5611, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 268, 10037, 815, 910, 1321, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 265, 10037, 815, 476, 4649, 279, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 270, 10037, 815, 476, 271, 269, 5952, 272, 5952, 272, 5952, 272, 5952, 272, 5952, 272, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 266, 11025, 815, 476, 14681, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 268, 11025, 815, 910, 1724, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 265, 11025, 815, 476, 276, 4792, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 270, 11025, 815, 476, 271, 269, 279, 6078, 5379, 274, 29300, 277, 4097, 16409, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 266, 10695, 815, 476, 13923, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 268, 10695, 815, 910, 1691, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 265, 10695, 815, 476, 6872, 273, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 270, 10695, 815, 476, 271, 269, 279, 4029, 23283, 22145, 14225, 279, 866, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 266, 10019, 815, 476, 14631, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 268, 10019, 815, 910, 1428, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 265, 10019, 815, 476, 6872, 280, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 270, 10019, 815, 476, 271, 269, 279, 2641, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 266, 5952, 815, 476, 15150, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 268, 5952, 815, 910, 1626, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 265, 5952, 815, 476, 6812, 277, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 270, 5952, 815, 476, 271, 269, 279, 1556, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 266, 10436, 815, 476, 14028, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 268, 10436, 815, 910, 1704, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 265, 10436, 815, 476, 6795, 274, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 270, 10436, 815, 476, 271, 269, 26764, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 266, 9262, 815, 476, 14444, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 268, 9262, 815, 910, 1240, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 265, 9262, 815, 476, 7785, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 270, 9262, 815, 476, 271, 269, 8064, 274, 9818, 275, 4366, 22550, 279, 7830, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 266, 6434, 815, 476, 14991, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 268, 6434, 815, 910, 866, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 265, 6434, 815, 476, 2568, 278, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 270, 6434, 815, 476, 271, 269, 4281, 275, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 266, 8660, 815, 476, 15647, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 268, 8660, 815, 910, 736, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 265, 8660, 815, 476, 277, 1691, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 270, 8660, 815, 476, 271, 269, 278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4030, 883, 23257, 1819, 20816, 267, 7175, 9858, 547, 11126, 3889, 585, 5551, 2773, 7355, 269, 1306, 2029, 8441, 267, 811, 10427, 2409, 786, 3136, 6932, 267, 2417, 9750, 938, 7207, 547, 12303, 18634, 1007, 6272, 1354, 22867, 2200, 2509, 2168, 2504, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 12976, 4574, 538, 834, 17220, 4750, 540, 3752, 1749, 543, 23113, 538, 476, 1001, 279, 4840, 26950, 282, 11403, 281, 769, 713, 2376, 267, 513, 21712, 9932, 18474, 729, 4294, 547, 519, 9932, 18474, 676, 13868, 519, 5011, 540, 15279, 30368, 609, 4130, 15279, 30368, 267, 543, 519, 10763, 3435, 547, 519, 1611, 11493, 3196, 543, 29415, 2566, 941, 6508, 1759, 593, 519, 16866, 2706, 24208, 3693, 630, 7704, 25539, 264, 1505, 563, 20082, 281, 28762, 8944, 814, 1044, 5189, 547, 9932, 18474, 3889, 538, 13197, 3706, 1537, 697, 2326, 609, 14222, 7344, 3601, 269, 11048, 267, 519, 21712, 9932, 1260, 2125, 896, 519, 856, 6361, 13807, 2033, 13907, 723, 711, 1044, 1134, 6594, 4603, 958, 543, 2555, 21154, 585, 1648, 10338, 547, 4266, 269, 901, 1353, 6322, 547, 4019, 513, 2027, 7293, 15796, 547, 519, 9932, 18474, 676, 13868, 519, 5011, 540, 15279, 30368, 609, 4130, 15279, 30368, 269, 634, 29610, 3613, 1738, 1449, 540, 519, 21712, 9932, 18474, 19494, 729, 1101, 5342, 4603, 958, 547, 8495, 519, 11493, 19326, 282, 543, 1287, 519, 7222, 13113, 3693, 630, 25539, 264, 9382, 941, 5340, 269, 674, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 9548, 27100, 6396, 257, 607, 851, 540, 834, 28035, 1315, 8950, 29896, 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, 8080, 547, 938, 3408, 540, 11889, 1876, 543, 9431, 2259, 256, 4653, 649, 3513, 4685, 883, 1945, 1572, 519, 15213, 540, 6176, 2920, 630, 23859, 8656, 1070, 799, 2636, 1004, 899, 596, 543, 803, 547, 1569, 1344, 4371, 676, 519, 2229, 269, 901, 2882, 1565, 827, 875, 6472, 616, 1500, 10930, 998, 6042, 1305, 909, 676, 3906, 971, 607, 519, 2817, 23681, 29853, 8881, 10029, 630, 26822, 4811, 288, 1040, 2913, 781, 1294, 1018, 713, 814, 547, 798, 609, 29332, 8656, 2439, 5331, 602, 972, 781, 1044, 513, 2487, 3377, 1650, 827, 1286, 10913, 3361, 676, 25768, 20347, 1949, 269, 1306, 8049, 4961, 945, 1416, 827, 4155, 3106, 267, 649, 1616, 547, 917, 811, 827, 891, 13685, 543, 1022, 31061, 9783, 676, 3549, 269, 1677, 1265, 856, 267, 649, 1223, 946, 519, 15213, 540, 6176, 2920, 547, 7662, 6054, 543, 1239, 689, 519, 19760, 4811, 288, 3823, 741, 7634, 883, 1346, 25768, 20347, 1949, 780, 3383, 267, 1018, 4010, 568, 29332, 8656, 286, 898, 781, 513, 5313, 1876, 5293, 538, 476, 3422, 277, 3850, 2043, 547, 2307, 585, 5638, 689, 1022, 5313, 8116, 267, 899, 519, 19760, 4811, 288, 269, 1879, 2576, 22347, 1080, 513, 29332, 8656, 7662, 267, 789, 1590, 14574, 799, 5638, 789, 1131, 899, 547, 4309, 269, 4495, 519, 7662, 568, 9268, 267, 8041, 786, 5305, 519, 16761, 6054, 8259, 1978, 23614, 687, 4019, 267, 971, 607, 952, 16089, 519, 1344, 1522, 2800, 3084, 3354, 610, 28117, 2123, 7834, 780, 3086, 1577, 781, 1589, 1394, 547, 938, 1719, 538, 6616, 811, 827, 25768, 20347, 1949, 543, 6174, 31061, 269, 1403, 649, 4941, 547, 1451, 827, 1808, 2665, 17411, 676, 519, 19760, 4811, 288, 267, 1934, 781, 1018, 649, 1223, 798, 1210, 29332, 8656, 1384, 272, 269, 10576, 519, 8116, 3743, 281, 4595, 649, 2811, 5461, 538, 18914, 3106, 267, 649, 2907, 917, 621, 781, 519, 19760, 4811, 288, 269, 1809, 950, 15388, 824, 3584, 267, 1101, 4137, 856, 799, 5313, 8116, 13327, 525, 602, 1858, 563, 273, 269, 3503, 513, 2312, 7662, 281, 16259, 513, 4484, 610, 4757, 6998, 585, 1808, 6054, 1644, 547, 707, 1888, 269, 1280, 3236, 267, 649, 949, 7662, 5359, 267, 19359, 267, 543, 1509, 657, 7234, 20347, 1062, 14286, 543, 7766, 31061, 269, 2142, 2386, 547, 13712, 29332, 8656, 543, 2491, 1946, 596, 3494, 519, 5638, 2887, 896, 922, 16278, 563, 274, 269, 27016, 3461, 569, 281, 14409, 942, 9775, 4470, 593, 1142, 8116, 781, 24913, 269, 13575, 267, 1498, 267, 6114, 1058, 2097, 1369, 476, 736, 1870, 2395, 269, 1717, 267, 1950, 13668, 1522, 1491, 3476, 1813, 547, 3656, 8039, 610, 29492, 609, 824, 13646, 563, 275, 269, 5623, 4607, 2326, 281, 2991, 3478, 519, 3210, 267, 1224, 998, 519, 5950, 5638, 5402, 269, 1411, 2760, 917, 1018, 4277, 3877, 596, 1522, 3605, 256, 5457, 267, 930, 1344, 949, 1869, 581, 2699, 716, 539, 610, 609, 18988, 1759, 593, 10858, 23614, 687, 563, 276, 269, 9523, 4681, 19100, 281, 2060, 16012, 4030, 267, 2015, 4687, 873, 31719, 543, 8308, 1247, 18245, 1866, 262, 2924, 547, 7834, 543, 22637, 269, 1635, 3257, 865, 267, 3025, 2640, 689, 2799, 11413, 543, 1620, 540, 1271, 2152, 780, 1103, 3932, 267, 519, 15213, 540, 6176, 2920, 4249, 513, 4105, 1909, 538, 5009, 22371, 543, 12477, 538, 2229, 2238, 1107, 1256, 1346, 5473, 6174, 5663, 543, 3106, 4441, 256, 4197, 29332, 8656, 1797, 16779, 6000, 607, 5483, 4961, 5827, 540, 10283, 8362, 538, 5717, 7282, 1857, 12602, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26822, 4811, 288, 1299, 16359, 27990, 8881, 454, 16920, 528, 7958, 538, 938, 19760, 4811, 288, 1299, 16359, 27990, 8881, 6657, 1683, 3102, 2533, 547, 6174, 9755, 543, 14273, 547, 2327, 10220, 609, 772, 2529, 269, 5179, 6174, 3106, 4031, 24451, 676, 19760, 4811, 288, 563, 2171, 1683, 519, 3102, 2533, 596, 991, 547, 16783, 609, 772, 2529, 269, 5179, 6174, 3106, 4031, 269, 1284, 18973, 9755, 540, 18213, 6517, 267, 18114, 267, 21772, 267, 681, 26394, 267, 5179, 31260, 267, 1153, 21772, 267, 18646, 267, 543, 782, 2010, 540, 3312, 543, 1310, 21466, 3937, 630, 324, 3052, 1421, 9817, 267, 8654, 267, 26039, 267, 23376, 3334, 267, 2011, 11435, 267, 543, 6174, 11418, 1040, 1284, 849, 4196, 607, 8480, 547, 1896, 2872, 4123, 12205, 563, 2171, 666, 4217, 596, 593, 519, 2407, 2039, 540, 19760, 4811, 288, 5829, 6927, 267, 1519, 912, 268, 28597, 609, 8549, 16359, 27990, 8881, 11621, 630, 30820, 309, 7704, 338, 994, 268, 4347, 624, 1999, 5209, 267, 8919, 270, 13440, 718, 31015, 267, 543, 8919, 270, 12061, 1260, 20869, 13753, 454, 268, 570, 3918, 4696, 2920, 10220, 543, 8989, 267, 1519, 2038, 9963, 8989, 630, 11246, 305, 264, 543, 4914, 11291, 8989, 454, 268, 4886, 540, 4835, 6144, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26466, 4520, 540, 6176, 2920, 630, 23859, 8656, 17983, 607, 851, 540, 834, 30311, 1315, 8556, 13577, 4521, 1299, 27943, 6657, 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 ]
[ 279, 454, 5575, 6445, 538, 519, 3193, 269, 1411, 917, 621, 814, 547, 581, 476, 279, 269, 634, 2039, 540, 476, 277, 6645, 596, 519, 1295, 814, 547, 581, 476, 273, 630, 279, 268, 277, 284, 273, 1040, 1411, 666, 1287, 6445, 602, 538, 269, 634, 11667, 814, 547, 581, 476, 276, 865, 476, 273, 476, 276, 781, 538, 519, 1647, 5544, 786, 2327, 602, 621, 781, 476, 276, 269, 634, 7154, 814, 547, 581, 476, 277, 267, 865, 649, 991, 693, 2547, 476, 277, 476, 277, 781, 269, 1411, 666, 1287, 6445, 519, 1964, 540, 519, 2338, 538, 267, 1818, 2386, 789, 2811, 538, 1931, 543, 602, 596, 1810, 1405, 723, 476, 274, 610, 811, 540, 1022, 824, 1297, 630, 20357, 1287, 519, 7154, 1131, 1689, 6393, 23417, 275, 3393, 276, 5780, 277, 4281, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 24708, 909, 513, 1305, 540, 2338, 2348, 519, 1739, 21056, 7154, 476, 2641, 11667, 476, 2190, 5021, 476, 3374, 2039, 476, 736, 454, 273, 269, 12693, 2979, 692, 13014, 909, 513, 1305, 540, 476, 278, 2338, 2348, 519, 1739, 21056, 281, 7154, 281, 476, 2641, 267, 11667, 281, 476, 2190, 267, 5021, 281, 476, 3374, 267, 2039, 281, 476, 736, 692, 6011, 547, 1118, 909, 513, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5934, 476, 274, 5021, 476, 280, 11667, 476, 278, 7154, 476, 278, 454, 275, 269, 12693, 2979, 692, 13014, 909, 513, 1305, 540, 476, 278, 2338, 2348, 519, 1739, 21056, 281, 7154, 281, 2641, 11667, 281, 2190, 5021, 281, 3374, 2039, 281, 736, 594, 798, 711, 1174, 780, 24708, 4996, 513, 1239, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5021, 476, 1240, 7154, 476, 278, 2039, 476, 1724, 11667, 476, 1321, 692, 13043, 269, 1215, 666, 594, 1118, 909, 513, 1239, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 267, 5021, 476, 1240, 281, 7154, 281, 476, 278, 267, 2039, 281, 476, 1724, 267, 11667, 281, 476, 1321, 888, 278, 269, 12693, 4569, 692, 13014, 909, 513, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5021, 476, 1240, 2039, 476, 1724, 7154, 476, 278, 543, 11667, 476, 1321, 0, 1012, 9046, 692, 288, 6006, 540, 476, 20981, 9748, 540, 3574, 814, 513, 476, 1626, 260, 7509, 1543, 269, 589, 3923, 2663, 267, 607, 513, 1267, 540, 15018, 267, 519, 7509, 1543, 4389, 1109, 1729, 476, 280, 4939, 269, 29894, 29894, 29894, 29894, 7545, 5231, 1548, 568, 519, 1007, 2597, 540, 519, 6006, 2496, 1012, 8382, 4427, 3939, 1772, 3502, 12232, 692, 13528, 568, 4570, 998, 5181, 1109, 1001, 277, 692, 1012, 8827, 692, 32091, 8436, 267, 9684, 596, 585, 707, 4674, 543, 3435, 269, 634, 31329, 547, 6494, 2953, 3070, 729, 4591, 3455, 269, 4270, 2944, 269, 5556, 17894, 2439, 2080, 568, 1250, 3070, 1384, 20981, 343, 271, 268, 10019, 284, 276, 5379, 9748, 269, 901, 568, 519, 7274, 540, 6986, 3574, 538, 519, 6006, 269, 476, 276, 5379, 9748, 568, 476, 11011, 260, 540, 519, 1007, 2597, 780, 1911, 260, 568, 476, 276, 5379, 876, 270, 11011, 284, 7785, 9748, 780, 763, 1007, 2597, 540, 519, 6006, 568, 476, 7785, 9748, 269, 0, 258, 23968, 5622, 5680, 9612, 692, 272, 269, 23037, 676, 692, 272, 269, 12693, 5349, 568, 519, 1858, 19315, 713, 3337, 519, 554, 697, 568, 476, 4649, 4699, 543, 519, 3490, 568, 476, 10482, 4699, 2496, 21920, 1535, 654, 5954, 269, 476, 4649, 1535, 476, 273, 284, 476, 8099, 476, 10482, 1535, 476, 273, 284, 476, 21327, 476, 8099, 1341, 476, 21327, 815, 476, 30444, 9492, 273, 11581, 3951, 281, 901, 568, 6182, 476, 277, 960, 269, 2334, 781, 7168, 8909, 596, 666, 1405, 4137, 621, 856, 780, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 736, 270, 6187, 270, 1001, 272, 692, 273, 269, 12693, 476, 3422, 4699, 676, 476, 9834, 4699, 11631, 286, 875, 1454, 568, 602, 2496, 2791, 1058, 723, 519, 4542, 585, 1858, 269, 9351, 815, 3259, 1535, 8700, 20099, 815, 476, 3422, 654, 5954, 815, 476, 9834, 9351, 815, 476, 3422, 1535, 476, 9834, 1684, 519, 2979, 267, 2638, 609, 513, 9498, 269, 476, 280, 267, 31079, 6382, 780, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 6349, 270, 4962, 270, 1001, 272, 692, 274, 269, 12693, 513, 12718, 814, 18592, 476, 1911, 9492, 543, 4463, 476, 2004, 4699, 2496, 328, 21645, 1589, 579, 991, 519, 4463, 1934, 2807, 538, 711, 3833, 2386, 1498, 269, 855, 18592, 568, 476, 273, 263, 7032, 12684, 337, 269, 865, 2807, 952, 524, 284, 273, 263, 7032, 264, 337, 1287, 678, 284, 322, 270, 273, 263, 7032, 264, 815, 476, 1911, 9492, 270, 630, 273, 265, 274, 269, 1691, 264, 815, 1911, 9492, 270, 277, 269, 2764, 815, 1428, 269, 280, 9492, 630, 7032, 264, 4564, 476, 2420, 270, 278, 610, 476, 274, 269, 1691, 1775, 21645, 723, 546, 3090, 1934, 562, 708, 476, 273, 27823, 476, 273, 979, 1205, 621, 269, 4126, 1775, 5280, 692, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 2420, 270, 1015, 270, 1220, 279, 692, 275, 269, 12693, 634, 3259, 540, 513, 13551, 568, 476, 1626, 4699, 3152, 982, 922, 8700, 269, 634, 1858, 568, 476, 3374, 9492, 11054, 269, 4855, 519, 7516, 540, 13551, 2496, 331, 342, 815, 476, 3374, 630, 342, 1341, 476, 1626, 264, 342, 815, 476, 3374, 530, 317, 273, 1341, 476, 1626, 342, 910, 476, 3374, 815, 476, 271, 2422, 519, 13392, 4542, 547, 4194, 630, 11398, 1934, 5291, 2517, 4178, 3052, 8421, 3122, 2593, 8276, 4215, 270, 275, 270, 1240, 270, 1839, 270, 4037, 270, 9264, 276, 4037, 3451, 3052, 604, 3738, 5269, 2386, 547, 946, 3169, 2418, 269, 898, 786, 1439, 909, 609, 1862, 910, 279, 13008, 476, 274, 18414, 263, 1556, 264, 3767, 596, 666, 946, 2901, 835, 547, 4194, 630, 6343, 594, 1611, 676, 13718, 273, 12226, 5788, 4065, 1299, 13129, 5788, 476, 4905, 270, 6187, 270, 1001, 272, 692, 276, 269, 12693, 14168, 2979, 2055, 855, 3478, 519, 4636, 2626, 286, 7490, 1397, 960, 2496, 331, 815, 476, 1015, 4699, 530, 815, 476, 276, 4699, 554, 815, 1535, 966, 815, 476, 7742, 4699, 317, 274, 952, 966, 815, 561, 2608, 530, 2608, 554, 1287, 554, 815, 966, 1315, 630, 331, 265, 342, 264, 554, 815, 476, 7742, 1315, 630, 1015, 265, 276, 264, 554, 815, 476, 276, 4699, 645, 476, 9339, 594, 6415, 711, 519, 6574, 609, 28809, 267, 855, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1724, 270, 5400, 270, 1001, 272, 692, 277, 269, 12693, 1548, 568, 519, 4320, 540, 513, 12106, 609, 513, 8006, 540, 476, 1691, 4699, 2496, 763, 4542, 585, 519, 4320, 540, 513, 12106, 568, 12631, 337, 23326, 630, 7032, 2053, 519, 8953, 7750, 539, 1040, 634, 8953, 540, 519, 12106, 568, 3368, 519, 8006, 267, 610, 538, 713, 2013, 476, 278, 269, 1924, 519, 4542, 609, 18839, 568, 281, 12631, 278, 23326, 12631, 29340, 476, 13040, 278, 269, 276, 4792, 4391, 476, 13040, 279, 9492, 23326, 6744, 856, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1704, 270, 4905, 270, 1001, 274, 692, 278, 269, 12693, 1496, 13043, 316, 589, 19209, 13472, 568, 476, 7742, 4699, 1279, 543, 568, 476, 1911, 9492, 1657, 519, 2666, 269, 1548, 5086, 1281, 519, 13472, 1118, 609, 519, 2666, 2496, 2252, 596, 3112, 946, 20534, 610, 25482, 1287, 713, 1797, 596, 1590, 946, 17242, 269, 1635, 519, 27099, 14298, 295, 11404, 295, 9215, 288, 267, 713, 1797, 602, 16009, 263, 9064, 6661, 31463, 270, 29951, 269, 1924, 267, 596, 1590, 1265, 519, 7508, 3259, 540, 713, 6906, 547, 4194, 713, 1966, 630, 303, 17233, 17671, 521, 13718, 276, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1556, 270, 6860, 270, 1001, 278, 692, 279, 269, 12693, 589, 11824, 3440, 814, 513, 8953, 540, 476, 736, 4699, 269, 1548, 568, 922, 4320, 2496, 11039, 267, 519, 4542, 585, 513, 12106, 781, 4320, 568, 966, 284, 275, 270, 274, 265, 7032, 265, 337, 317, 274, 8921, 1900, 568, 547, 11690, 538, 519, 2338, 543, 4194, 20800, 269, 966, 284, 275, 270, 274, 265, 274, 269, 1691, 265, 736, 317, 274, 966, 14352, 275, 270, 274, 265, 274, 269, 1691, 12684, 8517, 271, 966, 284, 275, 269, 5908, 26116, 26116, 6858, 263, 516, 701, 908, 1297, 12684, 8517, 271, 966, 284, 31172, 11152, 476, 272, 270, 274, 6600, 3555, 1131, 581, 3169, 264, 610, 596, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1839, 270, 6349, 270, 1001, 274, 692, 280, 269, 12693, 1548, 568, 519, 3259, 538, 4699, 540, 9474, 2496, 13679, 4699, 6153, 9939, 2439, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 6187, 270, 1015, 270, 1001, 273, 692, 1015, 269, 12693, 5173, 519, 4463, 540, 606, 31164, 6906, 4171, 5011, 616, 21412, 547, 476, 1015, 4699, 2496, 19667, 728, 519, 3490, 538, 1079, 267, 543, 596, 723, 1079, 1318, 12730, 269, 634, 3490, 568, 476, 276, 9492, 267, 519, 30494, 476, 1015, 9492, 269, 2422, 25355, 781, 11532, 547, 4194, 585, 519, 4463, 780, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 2764, 270, 1015, 270, 1001, 273, 0, 258, 9046, 14572, 2986, 12430, 17817, 692, 30475, 281, 14195, 9324, 658, 3194, 7433, 763, 3974, 13437, 5004, 13625, 2986, 14146, 1464, 10341, 25324, 24070, 10749, 6103, 476, 276, 291, 1170, 10488, 12559, 847, 16240, 25849, 906, 1280, 476, 279, 628, 27240, 619, 11514, 15479, 633, 4828, 17437, 5295, 17806, 850, 19080, 4518, 9377, 1456, 4828, 5999, 291, 1170, 31277, 2201, 31875, 1677, 13229, 32213, 4065, 692, 10177, 767, 532, 547, 1715, 3840, 267, 799, 568, 476, 8517, 5195, 2476, 267, 693, 476, 4037, 18890, 780, 18814, 547, 519, 2470, 540, 519, 6128, 593, 713, 3135, 621, 568, 1655, 5784, 538, 5251, 7154, 780, 1103, 713, 3992, 267, 649, 3513, 711, 1152, 2259, 6061, 2042, 602, 666, 581, 12261, 883, 5276, 4834, 267, 649, 3513, 849, 1445, 593, 2042, 596, 949, 7237, 538, 707, 1272, 910, 2042, 711, 5473, 14884, 8429, 1142, 824, 269, 1403, 649, 4194, 585, 1535, 676, 18946, 476, 3374, 689, 1312, 5011, 267, 649, 1205, 1535, 815, 476, 4391, 269, 1358, 666, 581, 513, 3787, 811, 1950, 267, 899, 713, 281, 476, 1428, 1447, 982, 2185, 2053, 513, 1297, 568, 476, 6872, 780, 2026, 513, 12576, 267, 513, 568, 1175, 606, 15821, 4082, 602, 4564, 513, 1899, 780, 296, 1611, 267, 1079, 14884, 8429, 1142, 824, 693, 476, 4037, 543, 476, 3199, 5195, 829, 5662, 4465, 1405, 1294, 1142, 824, 1360, 1279, 780, 28775, 2685, 267, 519, 15915, 786, 723, 8737, 741, 5276, 3830, 2262, 2042, 543, 1413, 909, 538, 942, 547, 5951, 780, 1103, 824, 1913, 267, 513, 5276, 3830, 568, 606, 3830, 602, 666, 581, 2854, 538, 519, 1106, 2073, 1141, 616, 21635, 16611, 676, 4632, 543, 568, 513, 3586, 780, 2690, 519, 1880, 2013, 630, 338, 17532, 4756, 3830, 1070, 519, 4611, 3830, 666, 581, 1178, 335, 1117, 607, 513, 1448, 593, 519, 1297, 1899, 267, 543, 585, 519, 2013, 630, 14310, 532, 538, 513, 5276, 1599, 1070, 621, 666, 581, 1178, 335, 1117, 607, 513, 1899, 593, 519, 31951, 7077, 267, 8754, 519, 2165, 834, 15035, 257, 3830, 780, 1607, 666, 6905, 547, 513, 2489, 31951, 562, 1606, 10628, 267, 538, 799, 519, 5276, 3830, 609, 519, 7222, 1297, 540, 4632, 666, 581, 1178, 335, 1117, 607, 606, 562, 268, 272, 1606, 10628, 910, 713, 1523, 568, 519, 2856, 3297, 25107, 9511, 607, 19424, 539, 676, 674, 12938, 543, 29439, 26075, 780, 24169, 891, 5276, 4834, 676, 14467, 543, 1951, 21794, 513, 1297, 547, 519, 834, 1278, 257, 2427, 540, 519, 3160, 1129, 269, 0, 9223, 7433, 281, 7177, 29093, 7726, 7433, 910, 5412, 476, 1001, 276, 910, 3689, 5729, 7177, 630, 13729, 589, 264, 630, 306, 655, 6856, 476, 272, 264, 910, 14076, 643, 19413, 623, 9613, 344, 690, 5942, 31155, 342, 14865, 9234, 11535, 630, 305, 294, 11901, 994, 271, 692, 25811, 1359, 29093, 910, 5412, 476, 1001, 276, 692, 305, 294, 11901, 3689, 5729, 7177, 630, 13729, 589, 264, 630, 306, 655, 6856, 476, 272, 2020, 13707, 7436, 281, 4534, 454, 13707, 942, 281, 4534, 454, 2562, 22552, 10813, 16739, 454, 263, 272, 264, 27539, 3617, 1239, 543, 1533, 707, 4128, 454, 263, 273, 264, 29485, 616, 2016, 547, 519, 1318, 540, 1169, 2243 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 18091, 1029, 3890, 2567, 8873, 8771, 454, 1038, 2132, 6936, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 952, 1826, 4311, 18502, 272, 264, 2652, 1193, 912, 2018, 2132, 1582, 18502, 272, 454, 1038, 3116, 912, 2018, 929, 11781, 6889, 2891, 266, 1598, 4311, 18502, 272, 11924, 12887, 266, 1598, 4311, 18502, 273, 11924, 10807, 7055, 2018, 2132, 929, 11781, 454, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 476, 1582, 18502, 272, 454, 825, 1219, 1205, 13448, 4311, 2187, 1038, 952, 4311, 16691, 867, 318, 17882, 2525, 257, 290, 691, 14198, 257, 2187, 2018, 952, 630, 6943, 4311, 18502, 272, 264, 2525, 1598, 2187, 3546, 5931, 284, 1345, 18502, 272, 454, 3546, 2451, 284, 1598, 26098, 29495, 338, 10086, 3488, 994, 3546, 1318, 284, 1598, 26098, 29495, 338, 267, 3299, 5073, 3546, 1582, 18502, 272, 284, 15615, 29495, 338, 314, 3847, 266, 272, 281, 2431, 7481, 3546, 2451, 284, 1598, 26098, 29495, 338, 267, 3299, 5073, 3546, 1318, 284, 1598, 26098, 29495, 338, 10086, 264, 5073, 3546, 1582, 18502, 273, 284, 15615, 29495, 338, 314, 3847, 266, 272, 281, 2431, 7481, 3546, 2132, 1582, 18502, 272, 454, 1038, 2132, 630, 1345, 10947, 24417, 3890, 265, 4118, 269, 6523, 4311, 10947, 318, 12978, 3890, 4917, 825, 1219, 1205, 14729, 4311, 2187, 1038, 952, 4311, 16691, 867, 318, 17882, 2525, 257, 290, 691, 14198, 257, 2567, 8873, 1582, 18502, 273, 454, 1038, 2132, 630, 1345, 10947, 24417, 3890, 265, 4118, 4732, 514, 4311, 10947, 318, 12978, 3890, 4917, 825, 1219, 1205, 24417, 4311, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 303, 6897, 257, 2567, 8873, 1582, 18502, 272, 454, 1038, 2132, 2979, 269, 1506, 13607, 4311, 18502, 272, 267, 1582, 18502, 273, 994, 825, 1219, 1205, 318, 12978, 4311, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 303, 6897, 257, 2567, 8873, 1582, 18502, 273, 454, 1038, 2132, 2979, 269, 27979, 273, 4311, 18502, 273, 267, 1582, 18502, 272, 994, 825, 1219, 1305, 13448, 4311, 21726, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 290, 691, 14198, 257, 2187, 2018, 2132, 454, 1038, 586, 815, 1582, 10947, 14729, 4590, 1038, 1582, 18502, 272, 815, 1535, 454, 1038, 1582, 18502, 273, 815, 586, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 290, 691, 14198, 4840, 825, 1219, 1305, 14729, 4311, 11971, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 1412, 290, 691, 14198, 262, 2187, 2018, 1582, 18502, 273, 815, 586, 454, 2018, 2132, 454, 1038, 1535, 815, 1582, 10947, 13448, 4590, 1038, 1582, 18502, 272, 815, 1535, 454, 1038, 1582, 18502, 273, 815, 586, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 290, 691, 14198, 4840, 825, 1219, 1305, 24417, 4311, 267, 337, 2187, 2018, 952, 4717, 318, 17882, 2652, 21069, 912, 3546, 1582, 18502, 272, 815, 678, 454, 825, 1219, 1305, 318, 12978, 4311, 267, 12978, 2187, 1038, 678, 815, 1582, 10947, 24417, 4590, 1038, 1582, 18502, 272, 815, 678, 454, 1038, 1582, 18502, 273, 815, 943, 328, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 303, 6897, 4840, 22322, 5035, 21070, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 8218, 284, 271, 267, 754, 284, 271, 2187, 13872, 1038, 1582, 269, 8218, 284, 8218, 454, 1038, 1582, 269, 754, 284, 754, 692, 1038, 1582, 17679, 17342, 272, 267, 271, 2639, 1038, 952, 630, 6943, 263, 754, 264, 2525, 842, 543, 1826, 6357, 5476, 25631, 284, 842, 2187, 2018, 1582, 17679, 314, 271, 24557, 8218, 10947, 13448, 4590, 2018, 1582, 17679, 314, 272, 24557, 8218, 10947, 14729, 4590, 1038, 8640, 630, 6943, 6357, 5476, 25631, 284, 842, 2187, 2018, 1582, 17679, 314, 271, 24557, 754, 10947, 13448, 3890, 268, 8218, 10947, 13448, 4590, 2018, 1582, 17679, 314, 272, 24557, 754, 10947, 14729, 3890, 268, 8218, 10947, 14729, 30800, 825, 1219, 6449, 18091, 9191, 1345, 267, 1278, 2187, 1038, 2132, 4311, 17679, 314, 271, 316, 268, 1278, 17679, 314, 271, 316, 283, 1015, 1262, 268, 1015, 543, 1582, 17679, 314, 272, 316, 268, 1278, 17679, 314, 272, 316, 283, 1015, 1262, 268, 1015, 994, 825, 1219, 6449, 10864, 9191, 1345, 2187, 1038, 513, 284, 309, 10725, 4590, 1038, 513, 17679, 314, 271, 316, 15871, 1345, 17679, 314, 271, 2639, 1038, 513, 17679, 314, 272, 316, 15871, 1345, 17679, 314, 272, 2639, 1038, 2132, 513, 454, 825, 1219, 6449, 5417, 9191, 1345, 267, 1278, 2187, 1038, 536, 284, 309, 10725, 4590, 1038, 536, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 27994, 1278, 17679, 314, 271, 2639, 1038, 536, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 27994, 1278, 17679, 314, 272, 2639, 1038, 2132, 536, 454, 825, 1219, 6449, 11357, 9191, 1345, 267, 1278, 2187, 1038, 524, 284, 309, 10725, 4590, 1038, 524, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 316, 268, 1278, 17679, 314, 271, 2639, 1038, 524, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 316, 268, 1278, 17679, 314, 272, 2639, 1038, 2132, 524, 454, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 1278, 2187, 1038, 952, 1826, 263, 1278, 25631, 284, 703, 912, 2018, 670, 284, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 8079, 265, 4118, 269, 1506, 13607, 263, 1278, 17679, 314, 271, 3910, 1278, 17679, 314, 272, 8079, 265, 9230, 1345, 17679, 314, 271, 30297, 1278, 17679, 314, 271, 27994, 1345, 17679, 314, 272, 30297, 1278, 17679, 314, 272, 8079, 14370, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 8079, 265, 4118, 269, 1506, 13607, 263, 1278, 17679, 314, 271, 3910, 1278, 17679, 314, 272, 316, 4297, 11850, 2018, 2132, 670, 454, 1038, 3116, 912, 2018, 546, 284, 309, 10725, 4590, 2018, 546, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 30297, 1278, 454, 2018, 546, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 30297, 1278, 454, 2018, 2132, 546, 454, 825, 1219, 3259, 4311, 2187, 1038, 670, 284, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 7481, 13872, 1038, 2132, 670, 454, 22322, 320, 815, 21070, 263, 11592, 263, 272, 267, 476, 273, 4917, 321, 815, 21070, 263, 11592, 8987, 273, 267, 476, 271, 1070, 8672, 8987, 272, 267, 476, 273, 11723, 604, 513, 2652, 536, 543, 536, 2652, 513, 281, 1820, 3488, 13420, 1275, 1449, 5293, 5073, 12828, 281, 1820, 3488, 13420, 1275, 1449, 8959, 17210, 3534, 476, 815, 21070, 263, 11592, 8987, 272, 267, 910, 273, 4917, 2135, 476, 815, 21070, 263, 11592, 263, 476, 272, 267, 476, 476, 271, 4917, 333, 2135, 815, 21070, 263, 11592, 8987, 272, 267, 476, 476, 271, 4917, 1195, 476, 815, 21070, 263, 11592, 263, 476, 271, 267, 476, 476, 272, 4917, 333, 1195, 815, 21070, 263, 11592, 263, 476, 271, 267, 910, 272, 4917, 604, 513, 2652, 910, 3534, 543, 14255, 2652, 910, 320, 543, 910, 2135, 2652, 1100, 343, 543, 910, 1195, 2652, 1100, 344, 281, 1820, 3488, 1103, 3200, 1449, 5293, 5073, 12828, 281, 1820, 3488, 1103, 3200, 1449, 8959, 17210, 604, 3404, 1341, 23690, 1341, 23690, 2652, 513, 543, 910, 2135, 2652, 910, 320, 1341, 23690, 1341, 23690, 281, 1820, 3488, 11764, 332, 566, 1449, 5293, 5073, 12828, 281, 1820, 3488, 11764, 332, 566, 1449, 8959, 5073, 604, 910, 2135, 1341, 23690, 2652, 23690, 910, 3404, 543, 910, 1195, 1341, 3404, 2652, 3404, 910, 23690, 281, 1820, 3488, 8138, 339, 3555, 1449, 5293, 5073, 12828, 281, 1820, 3488, 8138, 339, 3555, 1449, 8959, 5073, 22322, 604, 630, 2135, 2608, 476, 274, 2652, 3404, 1341, 3404, 1341, 3404, 543, 454, 825, 23690, 2608, 476, 274, 2652, 23690, 1341, 23690, 1341, 23690, 543, 454, 825, 3404, 2608, 11196, 274, 264, 2652, 910, 2135, 910, 3404, 910, 3404, 543, 454, 825, 23690, 2608, 11196, 274, 264, 2652, 910, 1195, 910, 23690, 910, 23690, 2567, 1820, 3488, 25648, 6473, 676, 1297, 1449, 5293, 5073, 12828, 281, 1820, 3488, 25648, 6473, 676, 1297, 1449, 8959, 5073, 22322, 604, 630, 16029, 263, 2135, 32324, 19572, 476, 272, 264, 543, 454, 825, 3160, 263, 1195, 32324, 19572, 476, 272, 264, 543, 454, 825, 3160, 9230, 2135, 2608, 476, 274, 1341, 23690, 2608, 476, 275, 1040, 26319, 19572, 476, 276, 264, 2567, 1820, 3488, 21920, 1449, 5293, 5073, 12828, 281, 1820, 3488, 21920, 1449, 8959, 5073, 22322, 604, 630, 16029, 263, 2135, 265, 2135, 267, 3404, 32324, 3890, 1262, 273, 264, 543, 454, 825, 3160, 263, 1195, 265, 1195, 267, 23690, 32324, 3890, 1262, 273, 264, 543, 454, 825, 3160, 9230, 2135, 265, 274, 1341, 23690, 265, 275, 31618, 2135, 265, 274, 1341, 23690, 265, 275, 1070, 630, 2135, 265, 274, 1341, 23690, 265, 275, 1040, 26319, 3890, 1262, 273, 264, 2567, 1820, 3488, 25648, 6473, 676, 21070, 1449, 5293, 5073, 12828, 281, 1820, 3488, 25648, 6473, 676, 21070, 1449, 8959, 17210, 0, 320, 284, 280, 269, 279, 454, 343, 271, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 1535, 271, 6889, 4917, 341, 271, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 642, 271, 6889, 4917, 339, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 512, 6889, 4917, 343, 24210, 271, 266, 341, 271, 265, 339, 8584, 265, 339, 265, 339, 270, 273, 454, 334, 284, 11274, 3287, 14870, 271, 994, 2745, 2891, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 284, 2580, 334, 994, 0, 320, 284, 703, 630, 6358, 15405, 321, 25507, 630, 6358, 15405, 320, 30381, 1532, 454, 321, 30381, 17070, 454, 320, 284, 321, 8584, 8931, 2745, 630, 320, 14720, 994, 0, 339, 1112, 716, 4141, 815, 22373, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 31116, 329, 537, 16725, 815, 476, 271, 454, 341, 1112, 334, 790, 815, 8771, 454, 339, 712, 815, 476, 271, 692, 3698, 513, 329, 719, 525, 2096, 321, 1961, 630, 339, 1112, 716, 4141, 267, 1775, 264, 10778, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 23145, 1460, 257, 610, 512, 1112, 716, 4141, 5157, 316, 2525, 257, 337, 1180, 257, 2187, 453, 13537, 2891, 290, 8291, 2013, 1609, 26955, 329, 14504, 5003, 19902, 267, 1654, 340, 4068, 345, 1094, 529, 597, 11552, 2013, 2756, 23528, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 341, 728, 257, 543, 795, 537, 16725, 260, 273, 2525, 271, 2187, 453, 453, 339, 1112, 716, 4141, 5157, 316, 815, 834, 23145, 1460, 4840, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 341, 728, 257, 543, 795, 537, 16725, 260, 273, 256, 284, 271, 264, 10778, 453, 453, 339, 1112, 716, 4141, 5157, 316, 815, 834, 337, 1180, 4840, 16596, 454, 4848, 454, 3698, 1449, 324, 309, 1112, 334, 790, 309, 1068, 673, 324, 630, 339, 1112, 716, 4141, 2187, 22610, 795, 538, 2039, 630, 271, 267, 274, 2187, 453, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 274, 316, 543, 512, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 277, 316, 543, 512, 1112, 716, 4141, 14728, 316, 256, 6889, 341, 728, 257, 2187, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 23145, 1460, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 5186, 1460, 8206, 5602, 15235, 16596, 6936, 454, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 337, 1180, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 678, 4637, 8206, 5602, 15235, 16596, 6936, 454, 16596, 8771, 692, 3698, 1449, 324, 309, 1112, 334, 790, 295, 528, 714, 2632, 1446, 630, 339, 1112, 716, 4141, 2187, 22610, 795, 538, 2039, 630, 271, 267, 277, 2187, 453, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 272, 316, 543, 512, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 273, 316, 543, 795, 260, 274, 2525, 271, 543, 512, 1112, 716, 4141, 14728, 316, 256, 6889, 341, 728, 257, 2187, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 23145, 1460, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 5186, 1460, 8206, 5602, 15235, 16596, 6936, 454, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 337, 1180, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 678, 4637, 8206, 5602, 15235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8373, 6340, 267, 543, 10193, 5075, 2042, 563, 2750, 18075, 1215, 1772, 20539, 15282, 23618, 539, 888, 763, 3782, 3028, 8502, 786, 322, 1643, 569, 1118, 513, 5868, 689, 519, 2013, 1686, 607, 1134, 553, 2168, 6514, 269, 634, 3782, 3028, 8502, 949, 798, 824, 18362, 267, 971, 607, 6419, 19089, 9196, 630, 28122, 1070, 13461, 593, 519, 2009, 2014, 563, 9617, 1215, 1772, 20539, 15282, 7066, 730, 888, 763, 2805, 12346, 593, 519, 2014, 269, 5709, 1149, 602, 1522, 581, 4929, 9825, 15282, 786, 6157, 581, 11074, 269, 15316, 824, 5061, 971, 607, 803, 743, 714, 710, 1522, 581, 6035, 547, 948, 9825, 15282, 642, 4314, 269, 1280, 22680, 11901, 267, 519, 3782, 8502, 1522, 1847, 519, 2212, 514, 1880, 8846, 547, 5818, 519, 9825, 15282, 20136, 3797, 568, 1572, 12324, 603, 1065, 3789, 532, 630, 528, 519, 661, 921, 344, 23603, 1040, 1280, 1256, 3467, 3978, 3123, 630, 7945, 607, 606, 17974, 29648, 320, 1070, 10551, 5650, 610, 5982, 3797, 949, 581, 2838, 269, 634, 1034, 2500, 3797, 5673, 593, 519, 1808, 3597, 2014, 540, 1492, 9825, 15282, 563, 291, 11675, 607, 1134, 607, 11298, 715, 685, 25629, 538, 30047, 20539, 15282, 912, 23077, 1491, 6527, 607, 5227, 563, 23077, 1289, 707, 3782, 3028, 8502, 952, 596, 17647, 6217, 2530, 610, 25641, 11132, 4743, 15381, 543, 849, 32688, 267, 3226, 952, 527, 30778, 609, 513, 26043, 563, 291, 2177, 685, 307, 11716, 9825, 15282, 267, 3226, 950, 596, 17647, 1585, 824, 4191, 543, 2589, 563, 291, 2177, 685, 307, 946, 1360, 1164, 13066, 540, 29469, 269, 1306, 2869, 514, 1522, 2014, 9825, 15282, 950, 8246, 538, 1164, 13121, 1137, 563, 291, 2177, 685, 307, 3111, 547, 3314, 547, 1217, 707, 3782, 18261, 827, 1022, 323, 2607, 338, 596, 1491, 267, 9967, 540, 1875, 25535, 5524, 543, 849, 5214, 3688, 269, 3509, 666, 9594, 9825, 15282, 454, 1432, 2405, 1709, 1684, 1358, 2422, 1280, 20539, 15282, 454, 2691, 938, 2212, 844, 1080, 3001, 519, 1439, 565, 8233, 610, 5277, 538, 938, 12931, 1844, 983, 4754, 1023, 1579, 1513, 909, 607, 1134, 607, 10123, 13515, 3001, 267, 899, 513, 9350, 3165, 11432, 269, 634, 15392, 1418, 267, 519, 7484, 3121, 267, 844, 1080, 922, 1219, 3005, 26655, 519, 2247, 602, 972, 568, 1100, 811, 1022, 1826, 540, 10231, 610, 5163, 11941, 547, 519, 2212, 563, 1432, 4386, 1985, 568, 519, 2601, 585, 9825, 15282, 563, 288, 12627, 6238, 547, 16173, 630, 9767, 12628, 513, 4224, 538, 519, 22471, 559, 3165, 11432, 543, 849, 678, 31454, 1106, 264, 2048, 560, 574, 6819, 8072, 519, 7484, 3121, 610, 711, 6005, 1418, 540, 621, 30778, 12324, 547, 13933, 1247, 519, 1585, 824, 476, 276, 23668, 616, 26655, 519, 2247, 602, 972, 3884, 334, 2534, 540, 519, 2212, 269, 898, 568, 713, 8966, 3877, 602, 3123, 9825, 15282, 269, 769, 936, 15823, 2600, 540, 3200, 15282, 3871, 519, 12324, 602, 568, 519, 3390, 568, 519, 17911, 4754, 531, 607, 1134, 607, 519, 1655, 2126, 568, 1492, 661, 921, 344, 23603, 269, 1284, 18973, 2048, 2452, 532, 519, 17831, 8072, 543, 530, 698, 1359, 602, 707, 9825, 15282, 568, 4947, 689, 513, 17911, 4754, 531, 607, 1134, 607, 1739, 713, 1184, 563, 288, 2388, 547, 8156, 707, 1360, 1378, 9825, 15282, 563, 24375, 940, 9363, 909, 267, 2490, 707, 2212, 476, 3393, 2157, 25722, 2830, 707, 2212, 23651, 267, 1287, 9114, 1394, 16425, 563, 1607, 568, 519, 23698, 5057, 267, 8488, 269, 1403, 596, 723, 2990, 531, 9825, 15282, 707, 2589, 786, 6157, 581, 27185, 19861, 267, 711, 5401, 269, 634, 1858, 18343, 568, 1018, 596, 616, 32261, 15030, 7159, 585, 621, 547, 1780, 1247, 8066, 707, 2212, 1869, 563, 19522, 585, 14271, 11618, 2986, 20539, 15282, 454, 288, 2603, 540, 2990, 531, 9825, 15282, 13542, 616, 513, 17911, 4754, 531, 543, 849, 519, 661, 921, 344, 23603, 568, 519, 1655, 339, 13015, 585, 713, 563, 763, 2427, 602, 519, 667, 1460, 8065, 335, 833, 6514, 5433, 1256, 8338, 568, 519, 2427, 9767, 1521, 563, 2791, 666, 2119, 519, 6587, 855, 952, 707, 9825, 15282, 2731, 7959, 7920, 979, 6619, 543, 2490, 707, 2212, 3533, 547, 519, 824, 2427, 267, 3445, 2157, 267, 610, 476, 3393, 5232, 29352, 519, 824, 323, 3925, 269, 1411, 616, 4867, 3257, 519, 661, 921, 344, 23603, 563, 296, 899, 547, 946, 519, 21658, 540, 513, 3636, 1216, 8708, 538, 938, 15335, 607, 1134, 607, 519, 3636, 1216, 27983, 269, 4107, 540, 721, 723, 7725, 538, 938, 2212, 269, 1452, 12627, 560, 749, 938, 2634, 1141, 8904, 2164, 689, 741, 2597, 269, 594, 1111, 30750, 3489, 5762, 3293, 610, 7745, 2110, 789, 2842, 909, 693, 519, 5377, 540, 519, 2048, 14653, 1216, 7382, 8072, 610, 22514, 756, 2544, 269, 8616, 952, 789, 2842, 909, 538, 519, 12992, 267, 519, 10859, 2275, 1844, 983, 23668, 267, 519, 660, 30750, 1711, 782, 1826, 540, 13542, 13461, 593, 1141, 789, 979, 563, 1103, 938, 1505, 649, 1294, 2990, 531, 9825, 15282, 7218, 689, 782, 6502, 267, 689, 1762, 4079, 547, 20650, 269, 1452, 335, 1112, 999, 1397, 17333, 665, 8205, 610, 17333, 14663, 14848, 16856, 607, 1134, 607, 606, 3606, 6251, 2070, 13031, 11523, 3515, 269, 28864, 543, 849, 2085, 666, 2014, 713, 563, 23175, 5945, 610, 627, 328, 680, 1662, 666, 1711, 18015, 538, 519, 17305, 14663, 14848, 269, 769, 942, 3688, 540, 519, 17333, 14663, 666, 2736, 2110, 269, 594, 1111, 30750, 2611, 538, 519, 22514, 756, 2544, 1310, 602, 972, 616, 1100, 4191, 269, 1403, 789, 1439, 909, 538, 519, 12931, 1844, 983, 23668, 1287, 9825, 15282, 666, 1491, 1747, 563, 1432, 2405, 1709, 1684, 1358, 2422, 1280, 20539, 15282, 1107, 1548, 568, 513, 20539, 15282, 31105, 286, 1923, 1432, 3657, 12580, 540, 20539, 15282, 286, 1923, 1692, 1677, 5700, 1403, 1411, 5620, 20539, 15282, 1923, 2710, 1411, 22206, 518, 3245, 20539, 15282, 286, 1923, 1432, 1677, 1684, 1879, 1411, 5620, 20539, 15282, 1923, 29819, 543, 12580, 540, 20539, 15282, 1923, 6701, 1411, 3807, 667, 714, 5414, 2107, 1684, 1411, 5620, 20539, 15282, 286, 1923, 306, 4428, 1359, 3245, 20539, 15282, 286, 3371, 3657, 2368, 32192, 1923, 5970, 20539, 15282, 286, 1411, 3657, 3502, 1325, 821, 269, 348, 0, 4696, 8461, 568, 513, 5778, 16467, 11365, 4524, 602, 5222, 1472, 476, 276, 260, 540, 1453, 538, 10430, 269, 11838, 2126, 666, 581, 4101, 899, 782, 4713, 269, 11838, 666, 1267, 538, 2790, 543, 7803, 2152, 269, 634, 3668, 540, 2937, 11838, 2533, 538, 10430, 666, 1118, 2126, 513, 4161, 269, 11838, 666, 581, 7307, 609, 519, 1318, 948, 269, 3371, 616, 930, 4808, 547, 1205, 596, 3323, 593, 707, 2619, 547, 6051, 563, 3849, 738, 11838, 568, 513, 5778, 16467, 11365, 4524, 454, 3849, 738, 11838, 568, 513, 2783, 602, 4386, 950, 707, 1126, 610, 596, 8858, 2947, 610, 811, 540, 891, 2589, 269, 1452, 2589, 616, 711, 5078, 585, 1646, 538, 4079, 543, 1058, 581, 11117, 676, 513, 2564, 3318, 269, 589, 5868, 540, 11838, 2356, 3340, 519, 946, 540, 21911, 610, 6646, 269, 10657, 568, 2966, 547, 2087, 519, 2702, 540, 2043, 547, 13404, 543, 1589, 5693, 269, 11150, 585, 5883, 2623, 666, 581, 1031, 547, 1852, 2589, 563, 2414, 2697, 8308, 11838, 2290, 1590, 10929, 3573, 5626, 543, 2168, 18362, 269, 11671, 17595, 1670, 4255, 616, 849, 3810, 6225, 269, 634, 5354, 540, 1004, 609, 11838, 723, 513, 1071, 2173, 27225, 2790, 1072, 4524, 269, 1452, 1331, 4160, 267, 6219, 21568, 610, 7099, 4713, 267, 543, 4568, 6057, 269, 4014, 7099, 4713, 616, 606, 5817, 2783, 538, 1978, 3871, 267, 621, 568, 12863, 547, 2697, 11838, 689, 824, 2790, 10108, 602, 1860, 4079, 269, 3958, 267, 17133, 2115, 547, 581, 11117, 547, 3313, 519, 1764, 540, 2126, 269, 1703, 616, 513, 3099, 540, 6527, 2139, 547, 1521, 519, 2589, 540, 2937, 11838, 799, 1331, 513, 4999, 540, 8102, 1218, 543, 1875, 560, 574, 592, 1218, 563, 7212, 972, 3884, 1406, 513, 598, 5477, 1353, 547, 3313, 519, 2014, 540, 11838, 538, 4079, 267, 621, 568, 2009, 602, 1978, 15970, 2853, 543, 519, 946, 540, 8613, 666, 3565, 547, 519, 2589, 269, 634, 2589, 5749, 1406, 8209, 22566, 540, 513, 3668, 540, 1620, 610, 771, 323, 664, 267, 2705, 269, 21834, 616, 513, 2101, 3815, 538, 2937, 11838, 269, 4014, 972, 568, 1100, 2601, 585, 621, 855, 621, 568, 2009, 547, 581, 4299, 269, 16989, 11838, 2589, 1223, 581, 513, 1129, 540, 17299, 4524, 269, 898, 568, 606, 4576, 602, 3123, 24412, 1995, 812, 545, 610, 19591, 30181, 563, 2005, 5540, 5111, 476, 276, 260, 540, 1153, 9907, 1453, 538, 10430, 454, 4696, 8461, 568, 513, 1134, 8153, 11095, 4524, 602, 5540, 5631, 1053, 538, 519, 1153, 2085, 269, 6820, 13618, 9193, 602, 827, 476, 276, 260, 540, 13677, 1153, 18244, 7985, 689, 519, 4524, 269, 769, 10430, 972, 616, 476, 4391, 267, 1822, 1453, 945, 7985, 689, 11838, 269, 15214, 7219, 2045, 4524, 267, 519, 1034, 4049, 1826, 540, 11838, 621, 5540, 835, 538, 4557, 1453, 269, 1452, 1453, 3335, 2154, 2564, 3007, 267, 543, 1082, 3237, 723, 4145, 3823, 519, 946, 540, 1932, 1454, 6646, 563, 4696, 8461, 568, 513, 1966, 602, 5540, 827, 476, 276, 260, 540, 1453, 538, 10430, 269, 1403, 1453, 616, 10010, 693, 1153, 621, 568, 6700, 547, 1205, 513, 5868, 269, 5753, 945, 7985, 689, 11838, 6560, 547, 13404, 267, 9013, 741, 7180, 543, 616, 1419, 5409, 5562, 269, 5753, 609, 11838, 1522, 723, 2152, 538, 1153, 267, 19174, 267, 543, 9013, 741, 7180, 269, 7216, 7020, 568, 1898, 585, 4543, 873, 8011, 538, 1153, 269, 901, 2376, 786, 4983, 519, 2188, 602, 666, 948, 11838, 1453, 811, 2693, 547, 581, 3811, 693, 1153, 563, 4696, 8461, 666, 581, 513, 1279, 18835, 4524, 602, 666, 2063, 585, 1296, 269, 634, 2589, 540, 11838, 3335, 2253, 538, 6689, 2073, 855, 621, 666, 6414, 883, 15296, 269, 11838, 949, 849, 581, 2404, 609, 2618, 2670, 543, 6219, 6057, 269, 14268, 1058, 3343, 856, 3318, 2564, 2126, 585, 741, 1126, 952, 789, 8858, 11838, 2589, 269, 1358, 1058, 849, 1491, 883, 7156, 519, 7569, 602, 616, 5116, 593, 741, 1126, 269, 11838, 2589, 666, 581, 5532, 547, 30088, 1369, 707, 2634, 563, 2005, 568, 2404, 609, 1279, 3856, 2790, 1072, 2152, 454, 7212, 1279, 3856, 2790, 1072, 2042, 616, 2352, 547, 1521, 267, 789, 666, 581, 14284, 676, 5275, 2126, 2038, 269, 27999, 2242, 971, 607, 2635, 4189, 6208, 543, 2834, 2168, 3635, 616, 4105, 547, 2790, 1072, 269, 4317, 1489, 543, 2069, 616, 849, 1898, 269, 1411, 666, 3251, 593, 3950, 676, 2870, 606, 3964, 6296, 543, 6158, 609, 707, 3119, 1416, 10629, 827, 707, 2589, 269, 901, 1344, 666, 4217, 596, 538, 8939, 519, 1655, 2126, 4781, 269, 4855, 856, 811, 827, 519, 1655, 1259, 547, 6023, 1279, 3856, 2790, 1072, 2042, 563, 10144, 609, 5312, 1072, 2152, 616, 811, 12155, 547, 1020, 4965, 543, 4160, 269, 1452, 2175, 616, 1419, 5532, 609, 2362, 2564, 9276, 543, 29083, 519, 4791, 4093, 269, 3213, 2173, 27225, 2790, 2175, 666, 849, 1860, 1582, 31193, 585, 1279, 3856, 2175, 269, 4658, 945, 7985, 689, 5312, 2790, 4576, 616, 811, 2693, 547, 581, 2938, 676, 513, 10629, 811, 4749, 799, 666, 1291, 547, 25013, 4791, 4093, 543, 2539, 2298, 540, 1272, 563, 12831, 1833, 666, 581, 3361, 676, 2168, 2589, 269, 4658, 609, 5312, 2790, 4576, 7985, 689, 513, 3099, 2168, 2589, 269, 3509, 1004, 7092, 689, 2790, 4576, 1810, 1406, 3343, 856, 3782, 2394, 741, 2783, 3587, 4049, 269, 1358, 949, 849, 711, 723, 1514, 1489, 267, 543, 949, 711, 723, 2576, 547, 7618, 873, 547, 1491, 741, 6646, 267, 610, 547, 6895, 741, 1973, 4006, 2157, 269, 19768, 540, 1489, 666, 849, 1118, 1004, 811, 7925, 547, 2168, 10108, 269, 898, 568, 2629, 547, 2566, 519, 2956, 540, 2069, 543, 1489, 538, 2790, 1072, 1416, 563, 2005, 666, 1291, 547, 7803, 2932, 454, 5278, 1004, 2119, 547, 3035, 2883, 1967, 676, 1210, 10363, 2409, 269, 11524, 616, 6766, 267, 610, 9141, 547, 519, 6316, 676, 1514, 4229, 269, 21894, 519, 3597, 2014, 540, 7803, 2623, 568, 267, 621, 568, 1271, 602, 596, 1174, 875, 547, 2061, 621, 269, 3371, 616, 930, 5363, 4388, 547, 3247, 7803, 2534, 912, 10932, 5267, 602, 513, 4719, 3815, 568, 3238, 538, 7803, 2623, 269, 5525, 723, 3254, 602, 9838, 21054, 616, 811, 2693, 982, 9992, 11189, 3283, 547, 8858, 7803, 21274, 269, 3958, 267, 9838, 21054 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1663, 21794, 538, 4399, 10401, 284, 271, 259, 1281, 711, 3132, 513, 4642, 538, 519, 14009, 269, 8734, 476, 2190, 6085, 8347, 532, 547, 6218, 606, 16789, 7533, 1210, 519, 2409, 540, 1950, 2079, 1269, 345, 815, 681, 552, 3867, 328, 1422, 9064, 348, 1422, 574, 18680, 546, 345, 815, 1775, 681, 552, 3867, 328, 1422, 9064, 348, 546, 24592, 10608, 0, 258, 645, 18847, 909, 1305, 5108, 543, 19280, 692, 12179, 1505, 827, 1022, 10230, 2409, 596, 917, 799, 949, 581, 4143, 267, 5225, 2022, 621, 1934, 2439, 1012, 17461, 692, 296, 723, 606, 5044, 540, 2387, 11161, 319, 585, 1142, 1305, 267, 543, 519, 4994, 547, 1142, 1871, 14687, 547, 519, 1305, 519, 1871, 568, 3808, 547, 267, 4061, 594, 2099, 513, 1305, 607, 606, 8870, 267, 1141, 2609, 2099, 519, 3787, 2990, 267, 661, 3052, 269, 513, 1305, 609, 3693, 835, 538, 621, 568, 6719, 607, 2387, 1862, 9826, 319, 1141, 2387, 272, 319, 568, 519, 2387, 11862, 289, 27471, 3383, 519, 1305, 568, 1152, 606, 4994, 543, 2760, 6740, 267, 621, 568, 6383, 593, 519, 8038, 267, 621, 568, 519, 1883, 602, 5012, 547, 519, 4994, 538, 519, 5044, 602, 2099, 2418, 540, 5036, 780, 1432, 594, 798, 568, 2016, 513, 1305, 267, 568, 519, 2040, 4364, 1871, 585, 1022, 540, 519, 6292, 3772, 771, 329, 2002, 15410, 3152, 982, 519, 1871, 585, 602, 1305, 269, 661, 3052, 269, 952, 1305, 2387, 18733, 272, 319, 723, 513, 1871, 540, 476, 274, 267, 1141, 1079, 29162, 723, 519, 1871, 540, 2387, 18089, 271, 815, 476, 273, 319, 543, 2387, 9826, 272, 815, 476, 273, 12452, 1287, 713, 24590, 568, 811, 6225, 547, 798, 269, 594, 798, 713, 585, 782, 29162, 540, 519, 1305, 780, 11693, 1614, 8069, 543, 519, 19280, 568, 519, 5036, 1297, 6041, 780, 18606, 1998, 314, 279, 316, 815, 2715, 271, 267, 272, 267, 273, 267, 275, 267, 274, 267, 273, 267, 275, 267, 273, 348, 519, 2418, 568, 711, 1271, 267, 1152, 875, 789, 616, 10288, 454, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 9049, 289, 3787, 6041, 540, 519, 4994, 454, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 454, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 700, 306, 289, 454, 32526, 16032, 24590, 540, 476, 9340, 568, 476, 18733, 543, 476, 1911, 609, 513, 2040, 540, 476, 278, 269, 1924, 547, 1205, 519, 1871, 540, 519, 1305, 799, 2270, 1152, 519, 1101, 3693, 267, 23908, 334, 476, 9826, 267, 596, 2322, 1130, 314, 272, 3910, 585, 1305, 609, 3693, 476, 272, 543, 476, 274, 263, 6200, 1070, 596, 2322, 1130, 314, 276, 316, 780, 1692, 519, 1130, 5044, 568, 10288, 950, 19882, 676, 3556, 514, 1275, 692, 18606, 1998, 314, 279, 316, 815, 2715, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 273, 267, 275, 267, 273, 8679, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 9049, 289, 3787, 6041, 540, 519, 4994, 454, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 454, 271, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 700, 306, 289, 454, 32526, 2080, 596, 723, 547, 14377, 519, 4994, 547, 519, 1318, 10822, 538, 519, 5044, 267, 865, 621, 1131, 1413, 899, 713, 585, 513, 1305, 609, 1152, 519, 3791, 3693, 538, 621, 263, 1911, 1070, 1130, 314, 10520, 17218, 263, 275, 264, 4940, 6056, 14249, 540, 2450, 3436, 273, 317, 1839, 2609, 269, 6733, 693, 25947, 4351, 3965, 1569, 950, 4351, 1569, 568, 2877, 585, 2417, 27792, 780, 4913, 267, 713, 2164, 538, 513, 1164, 1931, 540, 4351, 1569, 538, 519, 3965, 267, 1256, 952, 594, 1895, 873, 1310, 3556, 514, 1275, 269, 17497, 23454, 873, 676, 3556, 514, 1275, 267, 543, 10451, 606, 4994, 568, 14887, 982, 19280, 873, 1310, 519, 1297, 519, 1305, 4564, 780, 763, 1259, 594, 5352, 606, 4994, 609, 519, 5036, 19882, 676, 3556, 514, 1275, 568, 676, 1210, 533, 2444, 1023, 6906, 538, 3586, 3965, 607, 4330, 676, 519, 2626, 538, 10318, 514, 519, 682, 13877, 4919, 3845, 1063, 1079, 9981, 692, 1012, 7316, 519, 5036, 1871, 568, 4092, 950, 621, 568, 10288, 543, 19882, 676, 3556, 514, 1275, 609, 2185, 8069, 692, 18606, 333, 4994, 476, 272, 476, 476, 273, 476, 476, 275, 476, 476, 279, 672, 476, 274, 476, 476, 276, 476, 476, 277, 476, 476, 280, 476, 476, 1015, 476, 1321, 825, 476, 278, 476, 476, 1556, 476, 1724, 476, 1691, 825, 476, 1428, 454, 24801, 955, 8894, 5960, 289, 672, 476, 271, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 271, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 271, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 271, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 11862, 289, 672, 476, 272, 476, 476, 271, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 272, 454, 32526, 333, 4994, 2099, 519, 4994, 621, 1131, 723, 952, 711, 10288, 538, 3556, 514, 1275, 269, 901, 568, 1175, 547, 1397, 1141, 519, 1871, 585, 1142, 1305, 568, 4092, 780, 763, 8870, 1305, 2099, 606, 4994, 538, 519, 1871, 5044, 267, 2901, 998, 1463, 4994, 263, 6343, 594, 993, 4867, 3257, 267, 3947, 4351, 1569, 264, 610, 998, 513, 8144, 689, 519, 1305, 547, 606, 4994, 780, 1012, 634, 2856, 692, 21156, 540, 24590, 513, 1305, 883, 29162, 267, 594, 1498, 540, 10451, 519, 5036, 5377, 909, 269, 661, 3052, 269, 3079, 540, 24590, 2387, 18733, 272, 319, 547, 782, 540, 922, 6292, 3772, 771, 329, 2002, 29162, 267, 594, 1131, 693, 930, 1448, 5352, 952, 689, 519, 5036, 2387, 346, 18089, 271, 267, 9826, 272, 9574, 346, 9826, 271, 267, 18089, 272, 9574, 346, 1822, 272, 267, 18733, 271, 348, 27471, 1012, 1215, 543, 1946, 621, 1058, 960, 692, 306, 599, 649, 1616, 547, 6218, 782, 519, 8237, 14005, 540, 519, 5036, 609, 513, 3556, 514, 1275, 540, 476, 274, 267, 23908, 334, 5036, 2387, 278, 267, 1556, 267, 1724, 267, 1691, 18269, 1306, 519, 1152, 1259, 547, 8237, 513, 1305, 540, 3556, 514, 1275, 476, 274, 568, 676, 24590, 883, 5036, 540, 3556, 514, 1275, 476, 272, 543, 476, 273, 267, 649, 991, 547, 6218, 952, 519, 2040, 540, 1022, 540, 782, 519, 771, 329, 2002, 29162, 540, 3556, 514, 1275, 476, 272, 543, 476, 273, 568, 3152, 982, 519, 9769, 540, 1346, 5036, 780, 8253, 566, 540, 1018, 568, 2838, 9852, 599, 581, 513, 2370, 30096, 17107, 319, 347, 290, 347, 284, 333, 267, 4501, 478, 513, 14720, 2433, 513, 3980, 359, 536, 815, 595, 2073, 513, 3980, 358, 536, 815, 346, 383, 502, 9574, 1923, 320, 347, 266, 347, 321, 347, 815, 562, 26384, 3383, 676, 2542, 538, 519, 2418, 1210, 1071, 2297, 1027, 3965, 1569, 547, 1142, 8142, 267, 585, 1142, 29162, 602, 1106, 513, 1305, 540, 3556, 514, 1275, 562, 267, 2638, 952, 621, 922, 1871, 568, 3152, 982, 519, 4646, 1305, 267, 952, 865, 267, 9337, 519, 1871, 780, 26594, 1383, 267, 952, 2387, 333, 815, 476, 273, 319, 1287, 596, 1058, 1224, 538, 782, 2418, 609, 3556, 514, 1275, 476, 272, 267, 543, 798, 782, 10659, 540, 1346, 5036, 543, 9337, 9935, 269, 901, 1383, 568, 2653, 607, 782, 5036, 616, 771, 329, 2002, 1384, 18606, 335, 12065, 334, 3009, 585, 476, 275, 16060, 267, 3403, 3556, 272, 568, 24072, 547, 5044, 540, 5036, 1923, 338, 347, 815, 272, 454, 1029, 3333, 1563, 1029, 703, 1871, 314, 275, 30092, 7407, 314, 339, 573, 316, 815, 3556, 272, 314, 339, 573, 22049, 12262, 1071, 2297, 1027, 3965, 1569, 454, 842, 555, 7407, 815, 1871, 314, 339, 573, 22049, 12262, 6585, 519, 1871, 585, 519, 8142, 267, 547, 2057, 4871, 4655, 454, 842, 678, 7407, 314, 23026, 291, 574, 11859, 270, 273, 24557, 476, 271, 282, 12262, 9302, 519, 2040, 454, 842, 1775, 815, 3625, 291, 574, 11859, 3248, 842, 1535, 815, 476, 271, 3248, 2260, 516, 9134, 8520, 602, 21645, 5352, 26134, 5036, 454, 1721, 263, 282, 328, 285, 271, 282, 328, 9563, 284, 272, 264, 13634, 604, 6025, 573, 2999, 1775, 264, 13634, 343, 10030, 3248, 337, 7407, 20572, 268, 272, 316, 815, 1871, 27007, 339, 573, 21147, 264, 260, 23026, 291, 574, 11859, 316, 1341, 555, 7407, 3248, 8679, 8679, 1721, 9217, 815, 476, 271, 282, 1775, 2999, 1535, 282, 1775, 10030, 264, 13634, 842, 4994, 815, 1205, 8161, 6025, 573, 267, 328, 267, 272, 5148, 12262, 12033, 519, 4994, 585, 519, 1305, 621, 6383, 267, 476, 272, 2099, 519, 3556, 514, 1275, 454, 604, 263, 16059, 27709, 316, 2999, 678, 7407, 5157, 7481, 16059, 27709, 316, 815, 678, 7407, 5157, 30092, 8679, 32526, 296, 614, 566, 540, 519, 5786, 8520, 692, 18606, 1320, 1348, 1305, 1808, 585, 8142, 476, 1101, 21767, 2034, 21767, 454, 271, 8587, 476, 1822, 272, 4449, 672, 476, 1822, 272, 1341, 476, 9826, 271, 672, 476, 1822, 272, 1341, 476, 18089, 271, 454, 272, 8587, 476, 9826, 271, 4449, 672, 476, 9826, 271, 1341, 476, 18089, 271, 672, 476, 9826, 271, 1341, 476, 1911, 271, 454, 273, 8587, 476, 18089, 271, 4449, 672, 476, 18089, 271, 1341, 476, 1911, 271, 672, 9039, 454, 274, 8587, 476, 1911, 271, 4449, 672, 476, 1911, 271, 1341, 476, 1822, 272, 672, 9039, 454, 32526, 2026, 596, 1294, 267, 621, 723, 10099, 3481, 782, 519, 2418, 585, 782, 519, 15410, 602, 1106, 5036, 540, 3556, 514, 1275, 476, 273, 780, 763, 1966, 568, 2705, 602, 10451, 5036, 540, 3556, 514, 1275, 3152, 982, 476, 273, 568, 811, 8945, 1512, 267, 1813, 547, 711, 782, 5036, 616, 771, 329, 2002, 269, 661, 3052, 269, 476, 1822, 272, 543, 476, 9826, 272, 616, 711, 771, 329, 2002, 780, 16605, 538, 2247, 602, 594, 798, 711, 4558, 519, 5036, 9170, 267, 1152, 519, 1871, 585, 519, 5036, 780, 1012, 7053, 692, 1692, 1131, 596, 979, 827, 267, 2348, 713, 538, 2247, 267, 2870, 606, 5690, 602, 14509, 538, 519, 3965, 1071, 2297, 1027, 267, 543, 10451, 782, 5036, 689, 771, 329, 2002, 29162, 269, 9453, 10992, 2436, 519, 29162, 616, 771, 329, 2002, 267, 621, 1058, 581, 4625, 15002, 2065, 780, 1012, 1280, 29667, 344, 692, 763, 5690, 267, 1058, 581, 2901, 581, 4330, 1257, 609, 3982, 3268, 6825, 856, 267, 610, 29660, 3009, 780, 2005, 1058, 581, 8810, 609, 1806, 602, 621, 1568, 269, 3502, 602, 713, 5690, 4422, 909, 547, 562, 317, 3953, 5036, 267, 865, 621, 991, 547, 4336, 1134, 780, 763, 5690, 568, 4847, 547, 581, 838, 26860, 547, 1079, 610, 811, 8320, 267, 661, 3052, 269, 835, 585, 1256, 1297, 543, 835, 585, 9642, 780, 296, 1131, 19914, 569, 581, 5219, 547, 2959, 827, 519, 4480, 596, 946, 780, 763, 5690, 1058, 946, 607, 1906, 10467, 543, 5528, 607, 2009, 543, 1058, 2057, 1022, 27754, 269, 1809, 952, 596, 1589, 596, 3893, 835, 1256, 268, 2288, 596, 723, 513, 2603, 540, 713, 267, 2119, 543, 2022, 267, 594, 786, 581, 6126, 609, 1022, 1344, 780, 2252, 621, 568, 10288, 538, 1776, 1259, 855, 621, 1869, 1568, 607, 594, 723, 4330, 267, 594, 20882, 596, 547, 5225, 2022, 621, 1934, 267, 1022, 948, 568, 2731, 5363, 692, 1012, 570, 299, 270, 11403, 11822, 7778, 692, 296, 723, 606, 5044, 2387, 313, 319, 609, 2418, 267, 519, 4994, 2387, 328, 319, 607 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4663, 1247, 10707, 286, 594, 4312, 4862, 789, 666, 581, 2731, 1187, 543, 8949, 2439, 7692, 281, 19743, 7705, 256, 589, 1426, 4663, 286, 6145, 3843, 1007, 3536, 538, 1114, 4025, 2496, 8334, 281, 22549, 256, 1411, 1205, 547, 6492, 2199, 32258, 543, 1451, 811, 827, 519, 2528, 998, 741, 11951, 269, 1809, 972, 616, 930, 1271, 1919, 547, 2015, 1354, 11836, 835, 780, 7692, 281, 26419, 286, 1548, 2186, 540, 1919, 2496, 8334, 281, 4270, 267, 3106, 568, 1898, 269, 1280, 1383, 267, 952, 596, 941, 3206, 540, 9683, 6792, 267, 596, 1522, 723, 8068, 602, 1978, 2127, 5749, 1405, 5227, 676, 519, 772, 2529, 269, 4972, 540, 3557, 1813, 547, 3106, 4145, 269, 1717, 267, 2694, 540, 5760, 334, 659, 17505, 1533, 267, 971, 607, 922, 3854, 2749, 267, 2859, 20377, 267, 616, 2808, 2922, 585, 14666, 269, 1924, 267, 950, 7446, 513, 1426, 4663, 267, 1118, 2386, 621, 781, 538, 513, 5150, 4087, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1656, 1018, 3116, 1058, 649, 1832, 538, 2247, 2496, 8334, 281, 898, 781, 2629, 547, 1382, 519, 2754, 5356, 519, 4663, 269, 5269, 2386, 789, 2811, 18019, 267, 13931, 267, 543, 4225, 9882, 543, 19455, 4441, 269, 14856, 8265, 1426, 610, 9683, 1507, 552, 831, 625, 666, 581, 3078, 267, 855, 4189, 1945, 13572, 1223, 25010, 707, 2898, 16314, 2439, 7692, 281, 962, 10105, 267, 602, 2306, 2631, 269, 32506, 3116, 2496, 8334, 281, 2986, 1576, 256, 2142, 3222, 540, 1022, 8192, 9993, 610, 11959, 596, 949, 723, 269, 4004, 6510, 713, 5693, 547, 519, 3391, 865, 789, 666, 13918, 707, 2115, 9935, 269, 4746, 267, 3314, 602, 3006, 1282, 1426, 19150, 267, 596, 786, 3548, 811, 982, 8912, 267, 865, 10605, 3054, 2429, 519, 1554, 780, 7692, 281, 26272, 267, 7064, 585, 4687, 782, 713, 1344, 267, 7705, 256, 594, 2760, 7691, 972, 941, 865, 1082, 2188, 3238, 538, 1426, 19150, 780, 8334, 281, 3143, 1966, 267, 7585, 256, 1635, 5329, 891, 4388, 538, 2247, 267, 596, 666, 2327, 513, 9735, 1995, 1565, 827, 1114, 4529, 998, 741, 5023, 22476, 8286, 269, 9578, 267, 9327, 1405, 621, 581, 3579, 547, 2995, 3025, 1394, 1753, 799, 2189, 8670, 596, 6836, 543, 1141, 596, 1185, 621, 2496, 7692, 281, 4347, 17802, 256, 9320, 1985, 4832, 2736, 267, 649, 1223, 1544, 513, 7552, 1927, 543, 979, 593, 513, 1426, 4663, 12341, 780, 8334, 281, 16319, 3501, 256, 2913, 781, 1376, 3168, 883, 2009, 18353, 1631, 269, 1284, 1616, 547, 1118, 2386, 649, 3442, 20617, 543, 4019, 938, 9241, 4121, 1455, 2631, 1983, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4913, 267, 5760, 334, 659, 17505, 3085, 1406, 4309, 607, 1082, 4914, 17631, 607, 1346, 824, 2829, 267, 2693, 1317, 621, 779, 593, 519, 2475, 4972, 540, 3557, 779, 968, 2710, 3502, 13488, 892, 1592, 269, 901, 568, 25031, 1317, 5760, 334, 659, 17505, 11951, 5963, 568, 835, 540, 519, 1655, 543, 1034, 4277, 538, 6792, 563, 299, 3089, 1176, 585, 721, 267, 519, 2475, 4972, 540, 3557, 1443, 2478, 1996, 782, 2951, 547, 5760, 334, 659, 534, 267, 4849, 547, 1079, 4872, 1107, 2859, 20377, 543, 32303, 16619, 9315, 523, 553, 269, 2334, 729, 782, 519, 22059, 649, 2877, 547, 1433, 1668, 17914, 547, 2859, 20377, 543, 2263, 1018, 5760, 334, 659, 17505, 1426, 729, 782, 827, 563, 2252, 596, 2951, 585, 1426, 899, 649, 798, 543, 6430, 547, 6108, 942, 538, 2859, 20377, 267, 1287, 1934, 616, 476, 1240, 1390, 14060, 547, 3643, 585, 519, 13820, 5006, 2757, 5760, 334, 659, 17505, 8286, 563, 300, 3036, 5085, 8656, 681, 12239, 288, 7838, 3198, 4811, 19532, 27912, 700, 2562, 16775, 454, 2414, 948, 596, 609, 707, 2859, 20377, 7552, 4058, 267, 649, 4076, 16432, 6402, 547, 2442, 20730, 267, 19150, 267, 543, 824, 2951, 5829, 2533, 1934, 563, 12749, 268, 3603, 20730, 538, 2578, 549, 267, 519, 1655, 1858, 547, 3251, 585, 1101, 6066, 8436, 547, 2859, 20377, 563, 268, 590, 697, 572, 4370, 12875, 281, 22337, 660, 1144, 4975, 12875, 454, 268, 4793, 345, 30501, 16619, 12875, 281, 4793, 345, 30501, 16619, 1107, 3967, 6308, 328, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15933, 570, 2293, 257, 607, 851, 540, 834, 307, 30728, 1315, 6792, 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, 1012, 4197, 9737, 1145, 2578, 337, 1275, 538, 8641, 7869, 692, 20877, 3069, 568, 513, 4241, 2361, 540, 1353, 602, 9388, 609, 519, 3601, 543, 3156, 540, 11708, 267, 799, 616, 6310, 3889, 1031, 547, 2203, 6292, 3772, 1894, 1063, 3615, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 2878, 24992, 1145, 31344, 1275, 1262, 267, 513, 2268, 1031, 547, 3313, 519, 3310, 540, 513, 6843, 538, 513, 3113, 1759, 593, 519, 1297, 540, 20125, 10092, 602, 1780, 998, 621, 780, 2162, 7383, 532, 23905, 692, 6524, 649, 2253, 267, 1577, 781, 2327, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 269, 1284, 786, 581, 1210, 2387, 31596, 12452, 2387, 335, 663, 553, 12452, 543, 2387, 23054, 4671, 944, 27471, 3499, 7090, 454, 5814, 11885, 454, 5814, 21795, 454, 5814, 3113, 4671, 944, 454, 5228, 3113, 4671, 944, 269, 1417, 337, 1275, 1104, 1063, 1145, 454, 7884, 2162, 20223, 9737, 1145, 2578, 337, 1275, 6206, 692, 763, 1063, 1145, 31344, 1275, 1883, 568, 513, 4756, 1031, 547, 4558, 519, 2012, 540, 519, 6241, 538, 938, 1239, 18134, 602, 786, 2270, 519, 1063, 1145, 31344, 1275, 2418, 780, 3499, 7090, 454, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 815, 1412, 24992, 1145, 318, 1417, 337, 1275, 7055, 7884, 2162, 29626, 9737, 1145, 2578, 337, 1275, 692, 3086, 267, 1577, 781, 5581, 513, 1599, 547, 5173, 519, 1063, 1145, 31344, 1275, 540, 513, 3113, 269, 901, 1599, 3217, 513, 3113, 607, 3403, 543, 7024, 1079, 1239, 325, 29707, 281, 835, 585, 519, 9136, 543, 835, 585, 519, 8728, 269, 3962, 1239, 18134, 3568, 519, 1063, 1145, 31344, 1275, 2418, 585, 519, 9757, 9136, 543, 8728, 780, 3499, 7090, 454, 3698, 3113, 10734, 15277, 1145, 318, 1417, 337, 1275, 14116, 1429, 2187, 825, 9136, 267, 8728, 815, 1063, 1145, 14116, 1429, 2020, 825, 9136, 12774, 18134, 815, 21795, 6185, 1092, 20988, 3799, 3941, 10947, 24512, 15405, 825, 8728, 12774, 18134, 815, 21795, 6185, 1092, 20988, 263, 539, 2471, 10947, 24512, 31156, 825, 9136, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 2639, 825, 8728, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 6540, 825, 9136, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 3799, 3941, 12774, 18134, 994, 825, 8728, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 263, 539, 2471, 12774, 18134, 2020, 825, 2132, 9136, 12774, 18134, 267, 8728, 12774, 18134, 454, 7884, 763, 2387, 24992, 1145, 319, 1599, 689, 519, 2387, 23054, 4671, 944, 269, 1417, 337, 1275, 319, 9074, 21410, 519, 1063, 1145, 31344, 1275, 540, 519, 9136, 543, 8728, 538, 519, 3113, 269, 634, 2164, 616, 6740, 538, 1079, 5094, 14249, 281, 2387, 333, 3941, 319, 543, 2387, 539, 2471, 18269, 1452, 14249, 616, 1287, 10736, 883, 1239, 325, 29707, 585, 4443, 12879, 543, 2079, 780, 763, 2387, 3712, 8435, 319, 14487, 540, 519, 1239, 325, 29707, 568, 1031, 547, 1305, 519, 2012, 540, 519, 6241, 5627, 519, 1063, 1145, 31344, 1275, 2418, 780, 7661, 267, 519, 2387, 338, 677, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 319, 1599, 568, 1572, 547, 4990, 519, 1239, 325, 29707, 538, 27312, 1931, 1759, 593, 519, 1063, 1145, 31344, 1275, 2418, 269, 901, 2636, 721, 547, 3362, 2697, 519, 9136, 543, 8728, 609, 519, 5207, 1063, 1145, 31344, 1275, 780, 2162, 590, 15659, 4578, 325, 29707, 585, 9737, 1145, 2578, 337, 1275, 692, 763, 2387, 338, 677, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 319, 1599, 3217, 513, 1239, 18134, 607, 3403, 543, 7024, 513, 1007, 1239, 18134, 15044, 676, 519, 1063, 1145, 31344, 1275, 2418, 538, 27312, 1931, 780, 3499, 7090, 454, 3698, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 16597, 18134, 2187, 825, 2132, 1239, 18134, 31699, 28767, 8443, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 3910, 26799, 25716, 994, 7884, 763, 2387, 338, 677, 28767, 319, 1599, 689, 519, 2387, 335, 663, 553, 319, 5399, 568, 1031, 547, 4990, 519, 1239, 18134, 269, 634, 2387, 2444, 2056, 25716, 319, 4661, 5849, 602, 519, 1239, 18134, 568, 15044, 538, 27312, 1931, 780, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 723, 8268, 519, 1523, 540, 1063, 1145, 31344, 1275, 543, 4121, 875, 547, 5173, 621, 585, 519, 9136, 543, 8728, 538, 513, 3113, 269, 1284, 723, 849, 2938, 875, 547, 4990, 519, 2164, 547, 2697, 519, 9136, 543, 8728, 609, 519, 5207, 1063, 1145, 31344, 1275, 269, 901, 1702, 786, 581, 17170, 607, 649, 3136, 547, 2263, 519, 4241, 1158, 540, 3113, 3069, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 454, 5814, 21795, 454, 5814, 3113, 4671, 944, 454, 5228, 3113, 4671, 944, 269, 1417, 337, 1275, 1104, 1063, 1145, 692, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 815, 1412, 24992, 1145, 318, 1417, 337, 1275, 262, 7531, 258, 6726, 919, 519, 8006, 540, 513, 3113, 454, 3698, 3113, 10734, 15277, 1145, 318, 1417, 337, 1275, 14116, 1429, 2187, 825, 9136, 267, 8728, 815, 1063, 1145, 14116, 1429, 2020, 825, 9136, 12774, 18134, 815, 21795, 6185, 1092, 20988, 3799, 3941, 10947, 24512, 15405, 825, 8728, 12774, 18134, 815, 21795, 6185, 1092, 20988, 263, 539, 2471, 10947, 24512, 31156, 825, 9136, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 2639, 825, 8728, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 6540, 825, 9136, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 3799, 3941, 12774, 18134, 994, 825, 8728, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 263, 539, 2471, 12774, 18134, 2020, 825, 2132, 9136, 12774, 18134, 267, 8728, 12774, 18134, 7531, 258, 23037, 513, 1239, 18134, 5627, 6843, 1344, 585, 519, 538, 4110, 454, 3698, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 16597, 18134, 2187, 825, 2132, 1239, 18134, 31699, 28767, 8443, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 3910, 26799, 25716, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 2334, 7815, 1143, 543, 3026, 565, 28515, 1234, 13257, 630, 3192, 280, 268, 1960, 271, 2020, 7072, 692, 763, 3735, 14206, 2540, 14754, 1713, 14759, 538, 3703, 6214, 267, 2486, 267, 543, 4346, 602, 1131, 1305, 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 ]
[ 0, 24092, 3446, 7005, 1557, 3259, 454, 12626, 3332, 1603, 3391, 476, 273, 7005, 3332, 1557, 693, 6280, 1377, 1294, 849, 519, 3446, 6934, 832, 585, 519, 7005, 3332, 8257, 2630, 476, 275, 269, 1215, 547, 2328, 606, 7005, 1557, 950, 2921, 7005, 6030, 538, 1164, 1153, 543, 2852, 267, 596, 3513, 2693, 581, 8655, 547, 2328, 3594, 949, 1267, 538, 513, 4057, 3446, 269, 4841, 1419, 18930, 936, 875, 1279, 519, 6067, 1557, 3259, 1058, 581, 1934, 568, 513, 1239, 9141, 2626, 547, 2995, 596, 827, 798, 3425, 3988, 3446, 1250, 6067, 3594, 563, 277, 628, 3446, 1557, 3584, 875, 1082, 9433, 1058, 513, 3044, 1557, 723, 1382, 4574, 543, 17440, 538, 7005, 1557, 10274, 269, 8419, 4441, 10526, 7005, 1893, 6575, 3446, 476, 274, 533, 23336, 533, 23336, 533, 23336, 476, 272, 560, 1032, 524, 23336, 2328, 606, 1557, 538, 799, 596, 2285, 707, 6644, 827, 1547, 11621, 585, 513, 524, 3446, 538, 7005, 5888, 543, 3259, 267, 543, 9356, 519, 519, 524, 1957, 5205, 519, 14908, 540, 3044, 2854, 721, 7005, 269, 1215, 547, 2328, 606, 513, 17263, 2852, 1557, 547, 519, 3375, 1373, 3144, 547, 6318, 519, 3044, 1449, 865, 513, 2362, 1665, 1797, 519, 1557, 4845, 3259, 896, 563, 1015, 628, 3446, 1557, 3594, 543, 1382, 4574, 713, 568, 519, 1482, 3259, 607, 519, 1557, 538, 3446, 476, 279, 1107, 7005, 1557, 968, 4958, 749, 3184, 476, 1428, 689, 269, 5131, 267, 7792, 476, 277, 628, 3446, 1714, 320, 1455, 4295, 3211, 2882, 1893, 267, 21141, 267, 13654, 1983, 543, 811, 946, 538, 1362, 610, 1753, 3643, 2221, 563, 19177, 628, 3446, 1603, 4441, 8772, 3446, 4441, 267, 8772, 3446, 2542, 4441, 267, 8772, 3446, 1603, 4441, 267, 8772, 3446, 1603, 267, 8772, 3446, 1983, 267, 1603, 4441, 8772, 3446, 269, 8073, 4277, 543, 1187, 3992, 4566, 585, 707, 476, 1015, 628, 3446, 7005, 5049, 3328, 3992, 3259, 281, 476, 1704, 11271, 538, 476, 1015, 628, 3446, 7005, 6437, 4199, 269, 12834, 540, 1603, 4441, 585, 1605, 22770, 543, 1000, 27097, 3446, 543, 519, 2953, 946, 540, 3044, 7819, 7005, 476, 1556, 628, 17603, 543, 513, 14436, 1557, 563, 296, 723, 593, 16746, 593, 535, 27518, 543, 1775, 9709, 547, 1826, 621, 909, 14182, 267, 855, 519, 4116, 5795, 1100, 3259, 4170, 267, 543, 1775, 4312, 1100, 2856, 875, 1279, 547, 1118, 621, 269, 10842, 5202, 547, 3044, 1557, 1106, 621, 666, 2039, 538, 3259, 689, 835, 5037, 547, 811, 982, 630, 10472, 23988, 568, 7361, 1759, 593, 7005, 1568, 693, 7086, 7596, 564, 269, 589, 536, 25900, 17486, 1125, 6281, 1153, 14469, 4199, 585, 3044, 3446, 7005, 593, 519, 2673, 2542, 981, 267, 2673, 2542, 5931, 267, 1603, 267, 5339, 3029, 267, 16664, 563, 22826, 4441, 3594, 281, 936, 476, 5197, 267, 1822, 3450, 4441, 3594, 267, 3450, 4441, 2165, 4574, 267, 3450, 4441, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 589, 1377, 268, 278, 1557, 585, 16481, 7005, 981, 1957, 476, 272, 513, 1377, 268, 278, 1557, 585, 16481, 7005, 981, 1957, 476, 272, 910, 16555, 4063, 281, 713, 568, 2025, 519, 1576, 814, 4957, 269, 14168, 543, 2241, 7005, 3594, 593, 1585, 1455, 3584, 585, 1453, 543, 1053, 1265, 1557, 3584, 543, 1557, 2093, 585, 1126, 563, 268, 476, 276, 1603, 513, 5098, 3948, 513, 5098, 3948, 568, 835, 4845, 538, 519, 6679, 3948, 540, 606, 4081, 1557, 799, 2829, 519, 1292, 2856, 540, 519, 1382, 519, 2596, 4542, 585, 513, 5098, 3948, 568, 281, 563, 268, 3212, 15501, 3044, 5359, 7650, 25411, 541, 1603, 543, 7005, 1775, 267, 13797, 267, 25831, 2200, 25411, 541, 3446, 476, 275, 1603, 751, 1186, 320, 6881, 563, 10403, 10855, 1557, 3446, 476, 277, 2681, 12773, 610, 1557, 3259, 547, 606, 11108, 3044, 519, 1966, 568, 602, 3446, 10637, 568, 9648, 811, 269, 26929, 707, 4928, 6044, 538, 1455, 4295, 7005, 1893, 6575, 4441, 910, 1603, 585, 3446, 476, 278, 609, 713, 4015, 540, 4245, 1187, 269, 1215, 1082, 2053, 814, 519, 1739, 7018, 547, 596, 281, 596, 6108, 9118, 3108, 2324, 593, 606, 8655, 7005, 1557, 543, 1869, 4309, 513, 1970, 3446, 1813, 547, 519, 17418, 547, 2743, 519, 1557, 5528, 269, 7476, 3758, 0, 29910, 281, 3864, 6611, 10837, 781, 19026, 18124, 814, 6368, 8694, 922, 5216, 4458, 5692, 1310, 2484, 23630, 922, 9709, 1272, 563, 763, 14361, 267, 799, 814, 1044, 593, 606, 14248, 18967, 673, 476, 2190, 5662, 10739, 267, 21409, 476, 5780, 476, 1822, 5998, 1657, 519, 5045, 15393, 693, 922, 9663, 1492, 560, 1448, 543, 547, 1369, 476, 1220, 5998, 936, 519, 5087, 15393, 593, 922, 14191, 1935, 267, 25356, 922, 4412, 749, 656, 1282, 513, 3126, 540, 555, 745, 3122, 17236, 547, 6318, 922, 10739, 1739, 519, 1970, 268, 5306, 3363, 7098, 984, 571, 6362, 4505, 713, 1032, 563, 4913, 267, 1310, 5216, 1296, 538, 10739, 543, 609, 4412, 749, 656, 585, 922, 27668, 1062, 4881, 1970, 267, 19026, 18124, 729, 25461, 538, 4571, 268, 1001, 275, 609, 513, 29412, 7098, 984, 571, 6362, 5859, 267, 1282, 799, 621, 1019, 5529, 24482, 2539, 883, 519, 5790, 593, 922, 14191, 4485, 547, 519, 4541, 563, 32207, 958, 267, 519, 14361, 1131, 1685, 6296, 555, 745, 3122, 17236, 547, 2327, 602, 621, 1705, 711, 2097, 1932, 2673, 547, 19026, 543, 1981, 1373, 4503, 538, 519, 5790, 269, 1809, 713, 2189, 7045, 729, 6322, 693, 8236, 519, 6587, 267, 12077, 4227, 519, 15820, 543, 3850, 606, 3408, 540, 5892, 17946, 14975, 4525, 540, 519, 5790, 563, 17359, 3346, 609, 19026, 18124, 729, 4503, 593, 476, 2764, 5437, 543, 2094, 1287, 519, 7658, 11496, 543, 7658, 12252, 6402, 1185, 1044, 13148, 556, 28004, 267, 855, 789, 941, 1360, 18633, 543, 1152, 3908, 1344, 1223, 581, 27366, 563, 15031, 4459, 9410, 267, 30673, 781, 19026, 18124, 5692, 9614, 267, 1767, 602, 519, 2139, 1344, 2488, 2963, 540, 519, 14361, 9561, 10182, 1852, 1034, 2693, 1813, 547, 19876, 2042, 1282, 519, 9870, 18902, 951, 543, 621, 4667, 2693, 267, 4061, 267, 602, 19026, 18124, 25356, 922, 6967, 4412, 749, 656, 827, 3368, 1259, 998, 519, 9709, 812, 4141, 12320, 637, 2063, 3923, 269, 0, 1432, 4523, 1985, 5673, 593, 519, 2470, 540, 519, 4837, 2627, 563, 2252, 519, 4837, 941, 9985, 6366, 267, 543, 9985, 2973, 267, 519, 2178, 28455, 1063, 519, 1216, 6675, 543, 519, 28920, 32281, 4837, 1131, 1450, 519, 1216, 547, 3262, 856, 14961, 936, 519, 2627, 540, 519, 4837, 865, 596, 1131, 1869, 581, 2111, 547, 1294, 998, 519, 4837, 563, 2252, 519, 4837, 568, 18660, 621, 814, 606, 19514, 3382, 540, 28920, 11131, 5536, 799, 6971, 519, 23287, 4229, 1063, 519, 1216, 543, 519, 2627, 4611, 538, 513, 21318, 540, 1507, 1216, 20256, 10655, 593, 519, 2627, 799, 1797, 621, 568, 9875, 547, 1294, 998, 519, 4837, 563, 25565, 2081, 540, 5329, 519, 4837, 540, 1286, 9486, 834, 325, 690, 1863, 257, 1331, 530, 31441, 519, 1216, 1055, 952, 621, 568, 593, 519, 3544, 267, 610, 7432, 593, 519, 22865, 610, 2011, 8410, 1288, 518, 547, 2333, 519, 2557, 540, 21381, 952, 519, 834, 325, 690, 257, 568, 593, 519, 3330, 540, 519, 1286, 563, 5804, 513, 7998, 1448, 540, 2070, 267, 649, 666, 1294, 972, 616, 1079, 2009, 4485, 547, 1818, 513, 15098, 585, 519, 4837, 2627, 865, 602, 621, 786, 3251, 834, 325, 690, 1863, 13426, 268, 5269, 606, 5393, 28920, 11131, 267, 12001, 15098, 267, 1287, 1022, 1216, 602, 2501, 883, 3346, 609, 519, 2627, 786, 711, 15666, 693, 782, 543, 786, 1175, 2196, 1055, 269, 901, 568, 519, 2757, 1935, 1031, 547, 1711, 1216, 28084, 550, 23541, 543, 2326, 563, 268, 5269, 606, 5393, 28920, 32281, 267, 12001, 15098, 865, 602, 1022, 1216, 982, 2501, 883, 3346, 609, 519, 2627, 786, 3262, 856, 14961, 267, 1818, 606, 5393, 6094, 267, 12001, 267, 4494, 936, 519, 2627, 269, 901, 568, 1018, 3744, 693, 589, 265, 4306, 2752, 781, 4659, 540, 10049, 3194, 543, 7177, 630, 8379, 3918, 264, 723, 2944, 269, 1358, 723, 2813, 513, 1007, 2029, 267, 11162, 28733, 267, 799, 568, 513, 14463, 543, 8628, 17375, 15098, 602, 568, 12001, 543, 2706, 5139, 5268, 32281, 267, 799, 1797, 621, 24643, 1216, 3079, 540, 1065, 2454, 621, 563, 763, 10837, 585, 3163, 267, 5303, 543, 3194, 630, 288, 265, 4306, 2752, 1040, 834, 17730, 513, 1216, 4494, 585, 513, 20501, 2070, 1701, 3163, 291, 2905, 269, 3163, 291, 2905, 267, 476, 1321, 4873, 476, 1001, 275, 269, 8940, 4732, 857, 10642, 2905, 2593, 22812, 548, 1162, 270, 1001, 275, 270, 6187, 270, 9610, 277, 1321, 18891, 25396, 21867, 563, 22296, 2248, 539, 5530, 5999, 454, 268, 3503, 513, 7059, 3114, 3830, 547, 1397, 519, 28198, 540, 31529, 1216, 593, 513, 4837, 2627, 563, 268, 3503, 513, 7059, 3114, 3830, 547, 1397, 875, 5277, 1216, 18493, 919, 1055, 513, 4837, 2627, 563, 268, 2422, 630, 7219, 2045, 264, 9325, 3069, 540, 2339, 547, 2491, 1018, 4523, 950, 1216, 7873, 5151, 543, 18493, 919, 563, 268, 16294, 519, 2474, 28920, 32281, 543, 28920, 11131, 563, 268, 16294, 519, 2474, 28455, 543, 22122, 563, 268, 11512, 1946, 1216, 3029, 20085, 20256, 563, 268, 11512, 1946, 4837, 568, 513, 28920, 32281, 2627, 563, 268, 11512, 1946, 18660, 4837, 267, 4837, 4988, 609, 522, 1176, 5536, 267, 568, 28920, 11131, 563, 268, 11512, 875, 513, 1216, 28084, 550, 15098, 593, 4837, 1522, 960, 563, 268, 9181, 1761, 2042, 609, 1210, 11162, 28733, 593, 1286, 9486, 267, 602, 568, 267, 1018, 2188, 1522, 2569, 922, 7145, 543, 1946, 269, 0, 10712, 26743, 10699, 545, 5564, 21725, 10871, 3955, 31673, 725, 454, 331, 1539, 568, 513, 3838, 5399, 585, 11410, 565, 725, 538, 909, 547, 476, 275, 7516, 269, 769, 1931, 547, 5173, 519, 14170, 540, 519, 12945, 1135, 2106, 558, 267, 1152, 2199, 2418, 616, 1031, 281, 634, 1239, 3294, 543, 782, 10659, 540, 1101, 19195, 16755, 267, 1775, 4318, 269, 538, 476, 273, 291, 535, 13448, 267, 535, 14729, 543, 535, 13448, 344, 269, 901, 568, 538, 4334, 547, 10943, 1149, 267, 1141, 519, 14170, 616, 711, 7229, 1210, 16755, 267, 855, 1875, 2000, 5914, 1239, 267, 799, 666, 1291, 547, 936, 1606, 15879, 5847, 519, 1267, 563, 763, 10325, 814, 1044, 2919, 693, 519, 2160, 540, 25611, 269, 898, 568, 1759, 593, 700, 2131, 1329, 1299, 9370, 6577, 476, 1220, 276, 267, 609, 9283, 676, 12253, 26172, 3317, 9528, 543, 8045, 676, 27055, 553, 674, 6686, 326, 4289, 29993, 538, 595, 267, 5124, 543, 27813, 563, 763, 5399, 814, 1044, 2919, 1210, 1449, 12454, 1020, 324, 618, 630, 307, 24884, 1070, 1775, 4318, 269, 513, 1449, 2013, 568, 2854, 1354, 519, 4890, 1599, 568, 8045, 269, 2334, 1259, 267, 835, 2306, 2386, 1169, 1449, 666, 3111, 267, 543, 602, 519, 4890, 1599, 10596, 519, 1449, 563, 763, 5399, 814, 1044, 7318, 609, 5595, 8856, 269, 898, 568, 2009, 547, 29289, 609, 2582, 8856, 267, 676, 10747, 519, 4756, 11555, 3201, 284, 15615, 269, 901, 814, 2705, 711, 1044, 7318, 2943, 563, 763, 5399, 666, 581, 5532, 1312, 2493, 1227, 543, 29858, 269, 589, 9226, 2914, 571, 3899, 568, 2139, 538, 9226, 15828, 1539, 267, 799, 568, 1152, 2324, 609, 5595, 8856, 693, 713, 4090, 563, 5141, 821, 513, 5299, 540, 1327, 328, 547, 707, 2199, 2780, 543, 1118, 519, 3838, 5399, 912, 326, 527, 804, 821, 4179, 2517, 326, 603, 889, 2593, 12458, 293, 826, 326, 4289, 29993, 15828, 1539, 3052, 527, 524, 323, 1327, 328, 1118, 454, 763, 3838, 5399, 786, 581, 538, 5391, 15828, 7441, 1539, 269, 810, 267, 519, 20927, 1922, 3796, 538, 1331, 32551, 519, 9226, 9074, 538, 9226, 15828, 1539, 563, 2414, 1449, 519, 2493, 1227, 5532, 1449, 1922, 3796, 267, 1826, 454, 2414, 1449, 519, 29858, 5532, 9226, 23150, 1922, 3796, 267, 1826, 454, 1410, 1636, 31298, 318, 299, 296, 16576, 14473, 318, 303, 26059, 284, 259, 17162, 318, 299, 296, 16576, 14473, 318, 303, 26059, 281, 259, 263, 335, 23424, 8358, 12221, 13143, 623, 312, 8025, 2177, 303, 26059, 284, 259, 303, 312, 8025, 2177, 303, 26059, 281, 259, 263, 335, 23424, 8358, 7090, 1118, 7510, 11687, 454, 763, 595, 23150, 325, 3796, 538, 1449, 270, 543, 519, 9226, 23150, 325, 3796, 538, 9226, 270, 11687, 616, 29499, 543, 1397, 519, 10342, 540, 782, 3252, 563, 1103, 1931, 547, 946, 1327, 328, 538, 5124, 267, 596, 1101, 991 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 577, 4345, 10387, 19148, 572, 2742, 32247, 30126, 17422, 2068, 630, 4596, 11520, 264, 299, 2426, 2860, 29587, 2068, 2171, 2586, 539, 4761, 1062, 289, 1258, 577, 4345, 30926, 8673, 666, 3441, 519, 11487, 14024, 267, 610, 519, 15102, 998, 799, 2011, 12599, 547, 519, 9641, 269, 4746, 267, 513, 19221, 540, 13545, 538, 519, 9641, 666, 2014, 513, 15137, 518, 547, 723, 13352, 540, 796, 19055, 762, 23472, 9950, 332, 19148, 572, 2742, 901, 2068, 666, 1118, 513, 1268, 946, 1034, 540, 1010, 610, 1200, 1648, 1175, 547, 13236, 269, 2506, 19148, 572, 2742, 568, 513, 1455, 2014, 540, 2669, 585, 21596, 269, 32247, 30126, 17422, 2068, 630, 4596, 11520, 264, 901, 2783, 2882, 5312, 32583, 267, 10447, 267, 543, 900, 19148, 572, 2742, 11482, 2426, 2860, 27819, 476, 3445, 2600, 540, 5761, 2860, 7972, 616, 3361, 676, 7296, 269, 29587, 2068, 634, 15522, 538, 10269, 7494, 4679, 519, 1981, 540, 2295, 4323, 610, 8482, 269, 2171, 2586, 539, 4761, 1062, 7043, 3856, 10269, 946, 28746, 519, 1560, 781, 23640, 1996, 1585, 3676, 269, 30926, 3755, 616, 849, 811, 2693, 547, 1205, 1455, 10108, 971, 607, 11522, 338, 267, 897, 1091, 267, 543, 11959, 563, 4391, 570, 3008, 298, 476, 274, 281, 589, 8779, 569, 14068, 13206, 527, 25003, 568, 513, 14427, 4356, 269, 2422, 519, 3896, 2630, 547, 2626, 2055, 476, 275, 543, 476, 276, 827, 875, 1454, 2724, 7296, 666, 1942, 513, 1268, 538, 835, 1032, 563, 4343, 570, 3008, 298, 476, 275, 281, 8196, 519, 3896, 2630, 547, 2097, 909, 1614, 4128, 547, 5000, 513, 2385, 547, 16718, 7296, 543, 2626, 2243, 476, 277, 563, 4375, 17130, 476, 276, 281, 30258, 547, 2372, 527, 25003, 3619, 547, 519, 3095, 2630, 543, 946, 621, 547, 2626, 2055, 476, 278, 543, 476, 279, 827, 519, 2640, 540, 29655, 7296, 563, 2412, 17130, 476, 277, 281, 10613, 585, 2372, 9231, 25003, 3619, 547, 519, 3896, 2630, 543, 547, 2626, 2243, 476, 280, 827, 29655, 7296, 563, 6078, 12327, 307, 6938, 10911, 3633, 3951, 281, 968, 1432, 8866, 17166, 6168, 30926, 892, 1403, 596, 9096, 519, 960, 693, 519, 7740, 1354, 519, 1974, 568, 936, 267, 1224, 519, 2376, 267, 968, 1432, 8866, 17166, 6168, 30926, 5608, 543, 2328, 1079, 1919, 602, 14281, 596, 610, 602, 596, 4769, 1406, 917, 269, 0, 1607, 2534, 568, 5921, 585, 2575, 3610, 547, 946, 609, 2539, 10026, 1053, 269, 634, 3483, 540, 22073, 8074, 268, 20091, 267, 5426, 476, 272, 568, 547, 16616, 1762, 2206, 619, 547, 1164, 543, 1970, 8486, 2583, 593, 519, 1726, 1076, 5234, 1247, 6220, 4063, 268, 15105, 1983, 269, 2991, 454, 1607, 2534, 10905, 4626, 3691, 267, 7664, 267, 2575, 540, 476, 2641, 560, 11416, 3979, 1977, 1290, 1842, 619, 267, 543, 6947, 1983, 609, 5678, 8551, 543, 21371, 563, 8196, 1775, 307, 17480, 610, 1022, 824, 2575, 5399, 547, 1265, 519, 8964, 7396, 593, 519, 4976, 269, 5620, 873, 0, 763, 590, 13967, 5530, 7666, 728, 281, 634, 25360, 916, 12857, 3988, 547, 13416, 14172, 593, 519, 25360, 916, 543, 547, 519, 25360, 916, 2933, 267, 711, 2547, 741, 2101, 24396, 4798, 269, 3509, 1053, 616, 14542, 609, 519, 6196, 11620, 543, 6560, 547, 1569, 621, 267, 609, 519, 9868, 540, 519, 25360, 916, 267, 799, 616, 811, 5432, 998, 741, 946, 538, 4168, 10847, 543, 2943, 2709, 3407, 4030, 883, 519, 1158, 540, 519, 6196, 11620, 269, 634, 1433, 786, 581, 3226, 3730, 585, 1053, 593, 6280, 25890, 543, 24547, 5448, 6030, 267, 3921, 514, 1343, 543, 3988, 538, 2866, 267, 543, 2043, 2324, 593, 741, 11173, 14012, 658, 2069, 610, 16462, 547, 9337, 741, 2090, 269, 3962, 3184, 814, 1257, 7901, 525, 267, 1353, 2055, 543, 10372, 585, 2417, 2542, 269, 1703, 616, 2013, 2090, 540, 930, 540, 519, 1034, 5432, 25360, 916, 543, 519, 1433, 814, 513, 29395, 540, 2930, 2474, 269, 0, 763, 3310, 540, 10795, 2686, 5389, 593, 519, 3197, 540, 12225, 2873, 540, 513, 2669, 2062, 339, 1245, 910, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 1557, 9551, 757, 540, 5208, 543, 14407, 21440, 602, 21656, 741, 2528, 543, 741, 1686, 269, 8836, 4282, 1557, 1806, 519, 2956, 540, 519, 11091, 540, 2528, 538, 8350, 12340, 3623, 14150, 781, 519, 812, 547, 6494, 4764, 12269, 543, 1085, 2714, 3158, 611, 599, 781, 519, 1259, 547, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 7262, 2528, 3310, 538, 683, 25659, 547, 948, 596, 2328, 707, 1378, 1557, 269, 8836, 7506, 593, 2043, 2013, 1353, 9183, 1948, 273, 281, 23891, 564, 1932, 1419, 267, 649, 4043, 547, 896, 15041, 3508, 1125, 519, 3099, 540, 2686, 7506, 602, 1764, 1022, 2016, 1367, 267, 1818, 1864, 610, 1200, 519, 2189, 1268, 646, 610, 1352, 568, 630, 323, 14525, 267, 476, 1001, 272, 563, 13625, 827, 2528, 3310, 593, 1126, 1857, 6340, 8467, 1557, 7819, 16806, 7260, 24890, 1557, 2688, 1382, 1957, 1603, 3028, 7817, 12031, 8034, 10874, 4802, 1979, 32554, 773, 3768, 476, 30444, 536, 326, 321, 581, 7371, 1408, 1557, 2527, 1198, 476, 274, 6905, 10678, 10282, 1557, 269, 1215, 1250, 2528, 1491, 3310, 593, 803, 519, 5072, 540, 642, 28126, 781, 2528, 616, 16119, 5127, 4765, 538, 8536, 1296, 540, 24349, 28735, 267, 855, 824, 7506, 723, 5280, 547, 3337, 642, 28126, 781, 7214, 10781, 543, 1259, 540, 1272, 891, 616, 4470, 593, 1585, 2245, 267, 9821, 267, 543, 4525, 789, 723, 269, 9177, 1957, 5528, 281, 875, 1281, 2528, 3310, 1893, 543, 1893, 3310, 2528, 630, 322, 8590, 19795, 281, 606, 4294, 5133, 264, 713, 3135, 568, 1210, 694, 334, 536, 659, 31904, 11690, 514, 2813, 676, 1327, 14585, 648, 3836, 9708, 281, 9857, 8736, 5126, 329, 329, 276, 659, 27854, 948, 2228, 563, 290, 11857, 7506, 1480, 2623, 676, 519, 1259, 602, 596, 2170, 609, 824, 1004, 621, 849, 2337, 547, 3095, 1082, 1114, 1004, 1927, 2528, 786, 948, 596, 547, 6430, 1018, 707, 2640, 616, 267, 875, 649, 4308, 609, 824, 1004, 267, 543, 519, 3838, 2093, 602, 649, 4096, 593, 269, 4828, 593, 519, 3310, 540, 4984, 593, 1920, 281, 519, 4984, 814, 5129, 513, 1360, 1271, 543, 2629, 1909, 543, 814, 3964, 2620, 12082, 2360, 827, 1585, 9821, 543, 5389, 540, 1142, 1367, 2486, 1256, 2221, 267, 519, 2528, 543, 5389, 616, 2047, 5532, 609, 4984, 1152, 4061, 269, 9177, 543, 1646, 1557, 3732, 972, 616, 1082, 2188, 602, 3310, 1453, 585, 519, 1964, 540, 741, 2729, 543, 875, 789, 786, 2170, 543, 3514, 538, 547, 2486, 269, 5131, 1557, 281, 519, 2243, 649, 616, 16460, 568, 267, 875, 1281, 2528, 3310, 3961, 1646, 676, 519, 1439, 540, 713, 1957, 596, 1131, 581, 2111, 547, 9959, 602, 1100, 269, 634, 2243, 649, 616, 16460, 568, 267, 875, 1281, 2528, 3310, 3961, 1646, 676, 519, 1439, 540, 713, 1957, 596, 1131, 581, 2111, 547, 9959, 602, 1100, 2339, 1018, 519, 10450, 540, 606, 1367, 568, 621, 786, 723, 930, 4990, 540, 606, 1198, 593, 2901, 519, 2168, 610, 2790, 3344, 540, 606, 1367, 538, 1931, 563, 290, 11857, 12523, 538, 2790, 1072, 2533, 4978, 543, 2418, 602, 3310, 2790, 1072, 621, 666, 723, 606, 1764, 593, 875, 2790, 4576, 568, 9228, 610, 8995, 269, 7151, 4574, 476, 273, 2527, 2923, 543, 922, 3310, 593, 7819, 1402, 2528, 713, 5693, 2982, 602, 267, 1851, 519, 7506, 519, 2527, 2923, 814, 593, 7819, 1402, 2528, 269, 9177, 543, 1646, 1957, 538, 2221, 781, 1158, 267, 972, 616, 1082, 1114, 4529, 2528, 568, 851, 540, 606, 10867, 270, 18876, 781, 1646, 519, 10867, 270, 18876, 781, 2528, 2337, 873, 1020, 883, 945, 789, 1831, 950, 789, 616, 4079, 513, 1268, 781, 2528, 814, 3310, 593, 741, 4189, 267, 12008, 267, 543, 269, 11352, 707, 2686, 7506, 538, 555, 16233, 1957, 693, 10097, 5777, 609, 2661, 17549, 15276, 1260, 513, 2686, 3310, 568, 519, 1379, 689, 835, 2528, 547, 1860, 1776, 2486, 781, 6208, 543, 5615, 972, 616, 1082, 824, 4529, 602, 3310, 555, 16233, 563, 13563, 2923, 3310, 593, 2518, 2528, 1557, 910, 7819, 2923, 3310, 593, 2518, 2528, 1402, 2528, 568, 513, 2165, 22579, 676, 1914, 5505, 547, 5581, 7819, 2923, 3310, 2221, 2486, 568, 10514, 12023, 609, 4798, 602, 5581, 1402, 2528, 281, 3356, 267, 1570, 2744, 267, 1367, 5191, 543, 5763, 269, 1215, 2528, 7506, 3332, 1557, 3732, 2528, 568, 513, 2165, 602, 666, 581, 4330, 538, 1896, 2189, 2081, 4589, 267, 971, 607, 536, 11484, 18153, 334, 267, 4330, 2528, 998, 1010, 12591, 543, 1259, 540, 3332, 269, 9608, 3961, 543, 2528, 2528, 910, 519, 1259, 513, 1895, 540, 1004, 2661, 2528, 2882, 519, 1259, 1004, 10571, 267, 1118, 24181, 267, 3548, 267, 5968, 267, 1265, 31070, 267, 960, 267, 1451, 267, 616, 7038, 539, 267, 543, 1265, 5126, 538, 519, 2486, 3961, 910, 519, 7907, 602, 1118, 835, 1268, 610, 3364, 1114, 689, 269, 25792, 2528, 3584, 585, 1603, 3594, 543, 4574, 2093, 585, 2528, 1557, 1299, 1957, 3584, 4234, 3626, 7506, 12102, 6575, 538, 7819, 2528, 563, 10403, 1557, 281, 4529, 7506, 593, 1148, 609, 2242, 538, 2528, 267, 2097, 2242, 538, 1148, 2429, 1686, 267, 26620, 723, 1044, 3812, 607, 606, 32649, 540, 519, 269, 12989, 568, 606, 1557, 593, 2686, 7506, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 2686, 7506, 513, 1268, 781, 2528, 666, 581, 3989, 607, 3388, 602, 2306, 909, 606, 2043, 3003, 1259, 540, 1272, 269, 589, 2689, 1957, 593, 10721, 2528, 543, 10721, 2773, 7150, 602, 513, 2754, 781, 2528, 7506, 3388, 971, 513, 2754, 1281, 621, 568, 519, 4295, 540, 269, 8836, 3310, 1957, 5528, 281, 2328, 513, 476, 16020, 547, 476, 1911, 271, 2262, 1557, 3823, 519, 2686, 3310, 540, 2528, 593, 6219, 6057, 1851, 10708, 581, 2386, 547, 1331, 513, 2140, 2985, 267, 4367, 267, 3932, 267, 538, 17856, 14327, 543, 513, 4704, 3296, 563, 13625, 593, 513, 1268, 540, 3310, 32414, 476, 274, 6113, 267, 476, 1001, 273, 538, 606, 4674, 585, 12621, 547, 1732, 1174, 596, 607, 513, 1268, 3564, 9344, 543, 1449, 8464, 267, 789, 949, 16436, 1053, 547, 2328, 827, 1271, 7506, 538, 741, 2729, 269, 7377, 2528, 1557, 1806, 476, 4029, 2698, 2164, 606, 2079, 540, 519, 3310, 540, 1402, 2528, 543, 875, 621, 568, 6766, 676, 2527, 2923, 476, 8660, 274, 1913, 476, 273, 3817, 269, 12726, 1382, 1957, 593, 7209, 2528, 5943, 1152, 547, 519, 2686, 3310, 4330, 543, 2445, 13659, 616, 2686, 7592, 602, 4766, 519, 269, 0, 29557, 1153, 2239, 1557, 12987, 476, 272, 5172, 3965, 1603, 5401, 1589, 540, 707, 5172, 3965, 621, 1522, 581, 689, 513, 1920, 2680, 267, 513, 16314, 267, 513, 7544, 267, 513, 1362, 267, 513, 7328, 610, 1945, 596, 1705, 676, 3054, 269, 9752, 1603, 538, 1647, 1153, 910, 519, 476, 275, 268, 272, 268, 272, 910, 8653, 281, 476, 1839, 281, 6321, 1660, 902, 689, 519, 1647, 1153, 476, 6924, 267, 5325, 277, 5784, 875, 547, 2328, 513, 2239, 1557, 910, 8653, 281, 476, 1556, 281, 2412, 2144, 545, 5212, 9298, 731, 476, 3393, 267, 275, 4792, 5784, 269, 11150, 585, 1603, 513, 1650, 4098, 9625, 1863, 3992, 2238, 585, 3450, 1053, 547, 2328, 513, 13622, 585, 741, 6386, 2239, 1557, 1164, 1153, 2093, 269, 5664, 630, 324, 1203, 7406, 676, 7406, 264, 1439, 630, 935, 2424, 609, 8086, 264, 16878, 1883, 547, 513, 1390, 1557, 2123, 2239, 281, 1118, 2386, 596, 616, 1603, 547, 519, 2016, 5401, 269, 21931, 1557, 32029, 1647, 1153, 2239, 1603, 32029, 910, 1433, 4559, 4116, 1297, 476, 272, 519, 3141, 729, 3636, 593, 1250, 1394, 607, 1775, 986, 1027, 4724, 519, 7996, 563, 29973, 2055, 281, 814, 606, 2680, 689, 707, 1272, 1500, 513, 9434, 12705, 593, 596, 875, 666, 596, 21176, 1450, 2576, 547, 1995, 707, 1995, 4305, 281, 1711, 513, 2123, 2239, 1557, 2519, 593, 606, 2680, 269, 5664, 1153, 2263, 936, 476, 275, 267, 1911, 3381, 6030, 1034, 1419, 267, 2239, 3594, 616, 5143, 538, 26567, 1931, 649, 4312, 782, 15336, 883, 513, 6643, 693, 513, 1448, 1141, 1919, 4769, 1405, 2731, 1118, 269, 5623, 609, 1053, 602, 513, 2239, 1557, 568, 10213, 513, 1650, 543, 6338, 2123, 2239, 607, 513, 1647, 267, 543, 1439, 1053, 476, 276, 3446, 2239, 1603, 269, 1280, 13186, 476, 272, 2985, 476, 6812, 277, 1603, 281, 2123, 2239, 10763, 18176, 19875, 6060, 1448, 476, 273, 4098, 568, 20585, 855, 4143, 547, 2239, 4367 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5732, 14323, 5574, 563, 15152, 3339, 6381, 267, 1928, 568, 707, 1560, 779, 9963, 1062, 269, 5994, 1018, 1522, 4755, 952, 596, 4769, 1406, 1995, 1928, 267, 543, 513, 2759, 593, 519, 5377, 540, 707, 3723, 4682, 4625, 29462, 267, 607, 513, 1267, 269, 4634, 1175, 513, 1507, 12183, 666, 1831, 519, 4358, 1448, 585, 606, 3968, 602, 1223, 5555, 2154, 993, 1584, 566, 269, 901, 568, 1259, 1447, 540, 606, 608, 12000, 3130, 982, 621, 1522, 3280, 899, 282, 1928, 5713, 513, 6720, 16484, 1271, 3483, 563, 23777, 1227, 267, 1928, 2501, 538, 835, 540, 1614, 3982, 8677, 269, 4469, 822, 832, 267, 952, 596, 786, 2336, 301, 665, 823, 696, 633, 10266, 568, 2901, 3361, 676, 8143, 267, 7344, 267, 610, 3114, 1797, 269, 901, 568, 519, 1034, 4122, 7721, 704, 27624, 2186, 540, 1928, 267, 3622, 5433, 950, 519, 14242, 4991, 1932, 7920, 547, 6023, 563, 32507, 12949, 545, 10266, 2501, 689, 3441, 610, 2068, 18363, 519, 4890, 13285, 538, 707, 1560, 267, 4929, 873, 547, 3765, 13933, 538, 11213, 2081, 563, 20329, 8328, 1928, 568, 3335, 3361, 630, 528, 1500, 8338, 264, 676, 2790, 543, 8965, 2152, 2443, 1919, 899, 4965, 543, 4160, 267, 799, 666, 2014, 7181, 31191, 267, 14331, 267, 1394, 1928, 267, 543, 865, 8521, 563, 32247, 1928, 267, 1287, 267, 568, 1034, 1419, 3989, 607, 1928, 602, 16569, 585, 811, 982, 476, 1321, 4374, 269, 634, 10782, 851, 568, 602, 5312, 1928, 666, 2965, 2063, 1134, 3564, 519, 6228, 540, 8726, 1522, 723, 1044, 4929, 621, 538, 519, 1101, 1747, 267, 16304, 1472, 544, 5417, 2287, 569, 267, 1256, 1498, 972, 3884, 1406, 4376, 649, 666, 1294, 607, 1373, 922, 3597, 2014, 563, 30131, 547, 3314, 1934, 568, 602, 5312, 1928, 3884, 1406, 2965, 621, 779, 1378, 2783, 269, 13298, 267, 621, 779, 1018, 649, 8910, 4766, 607, 513, 10835, 540, 1776, 267, 3677, 1966, 2507, 6518, 2731, 1797, 602, 519, 2014, 540, 5312, 1928, 666, 581, 1022, 1297, 540, 1114, 1919, 269, 1879, 621, 2501, 547, 519, 8912, 31268, 267, 1498, 267, 972, 616, 513, 1906, 1919, 602, 2014, 5312, 1928, 811, 4749, 982, 1866, 563, 308, 2955, 2406, 2614, 267, 538, 930, 8320, 267, 519, 4693, 540, 7231, 609, 5312, 1928, 666, 4125, 1259, 811, 982, 1175, 519, 1928, 3294, 269, 2755, 621, 779, 835, 3364, 547, 723, 606, 5945, 610, 513, 1072, 1966, 602, 2501, 609, 513, 5693, 20452, 4155, 547, 8323, 543, 6051, 267, 1082, 2665, 540, 5312, 1928, 4734, 2550, 11842, 952, 789, 2461, 2479, 2469, 547, 2661, 513, 3339, 267, 1928, 6954, 1272, 2479, 1586, 563, 763, 3586, 4527, 540, 1928, 666, 267, 5667, 584, 29418, 267, 1376, 547, 723, 922, 1378, 2790, 543, 3929, 5222, 630, 21865, 1500, 8338, 676, 519, 4527, 610, 32739, 547, 2790, 1072, 2152, 267, 971, 607, 4965, 1040, 898, 779, 6059, 602, 827, 476, 1839, 260, 2043, 945, 4308, 609, 5312, 1928, 849, 4308, 609, 18127, 10266, 15540, 267, 799, 568, 6353, 607, 519, 4527, 540, 4160, 543, 4965, 4611, 689, 519, 18094, 540, 5312, 1928, 563, 2691, 621, 2501, 547, 2126, 585, 5312, 1928, 267, 519, 1655, 1576, 540, 2962, 568, 2731, 8452, 693, 593, 513, 2013, 8386, 30924, 4493, 269, 9717, 602, 5312, 1928, 568, 811, 513, 10835, 982, 922, 1378, 2783, 267, 2126, 1419, 12346, 593, 12394, 547, 8207, 8726, 814, 1044, 4929, 519, 5312, 1928, 538, 519, 1101, 1747, 563, 7712, 519, 2790, 5057, 568, 971, 513, 2462, 3815, 950, 621, 2501, 547, 5312, 1928, 267, 1082, 2126, 4566, 1419, 4125, 1919, 899, 22591, 267, 9066, 267, 543, 824, 2238, 602, 3895, 513, 811, 17159, 1259, 540, 1272, 269, 6884, 6646, 1522, 581, 1031, 267, 971, 607, 575, 629, 777, 550, 514, 267, 547, 14927, 523, 519, 6786, 938, 13285, 938, 11488, 269, 769, 824, 8320, 267, 6391, 1522, 2965, 581, 519, 3070, 563, 1103, 519, 9000, 540, 513, 835, 20695, 1922, 1080, 22433, 2626, 547, 5312, 1928, 267, 14055, 814, 7153, 607, 513, 1360, 9621, 11134, 538, 519, 6370, 1996, 513, 1272, 1500, 3765, 30514, 676, 519, 796, 2056, 4527, 540, 1928, 269, 2755, 621, 779, 15069, 711, 513, 10826, 676, 1022, 1797, 267, 2789, 2090, 723, 3254, 12800, 27546, 547, 581, 513, 14323, 543, 2500, 1110, 1275, 540, 2126, 1996, 1978, 2010, 540, 5571, 1928, 563, 8253, 1152, 814, 14055, 1044, 3254, 547, 2333, 519, 2179, 540, 513, 7623, 1572, 606, 663, 29524, 538, 519, 1973, 267, 799, 2337, 547, 10038, 519, 2179, 540, 1928, 513, 1268, 7959, 267, 855, 621, 814, 849, 1044, 3254, 547, 979, 513, 1279, 1259, 2509, 19086, 6553, 543, 3622, 16715, 1928, 1129, 13294, 2429, 519, 1560, 269, 29247, 15663, 568, 602, 519, 1382, 1472, 14055, 543, 1928, 2359, 568, 6157, 538, 922, 4505, 5933, 269, 10960, 4152, 814, 3254, 513, 2603, 540, 9153, 267, 855, 811, 1480, 8062, 616, 11613, 2877, 563, 2026, 971, 267, 621, 779, 1271, 547, 3635, 13657, 950, 1210, 14055, 547, 948, 609, 1945, 899, 5312, 1928, 269, 28423, 609, 707, 4387, 1101, 267, 543, 1118, 2386, 602, 621, 4465, 1406, 2170, 609, 1022, 824, 6527, 596, 1522, 581, 2921, 269, 2060, 519, 18262, 543, 6765, 1062, 602, 779, 1318, 585, 596, 267, 14055, 666, 5732, 581, 513, 14323, 1007, 1259, 547, 811, 3927, 4308, 609, 513, 1966, 899, 5312, 1928, 563, 11514, 25068, 281, 6176, 1336, 538, 713, 2376, 610, 593, 28994, 3814, 2593, 12582, 1406, 581, 3144, 607, 1022, 2564, 610, 3621, 6644, 267, 5796, 610, 16252, 269, 7490, 798, 707, 1378, 1382, 543, 5077, 609, 707, 4387, 1354, 10962, 12800, 27546, 547, 707, 1560, 269, 0, 2791, 1590, 581, 9896, 538, 547, 1224, 519, 1964, 540, 713, 2376, 563, 8802, 626, 1674, 593, 7131, 11246, 5454, 568, 1863, 269, 6178, 909, 2221, 2336, 2690, 326, 582, 707, 10957, 286, 8437, 3371, 2336, 9743, 6627, 10168, 267, 513, 1106, 540, 10168, 11251, 998, 4031, 543, 6042, 1369, 2486, 282, 6519, 17979, 267, 519, 6848, 17979, 4324, 1154, 3043, 1004, 936, 1875, 22554, 1004, 538, 930, 7239, 282, 543, 17499, 610, 6857, 12886, 723, 1831, 5051, 1271, 3584, 538, 519, 2136, 2276, 630, 4785, 1040, 634, 2360, 540, 891, 2010, 540, 21437, 3565, 547, 7292, 8635, 543, 666, 581, 2938, 538, 1082, 1114, 9922, 1519, 7694, 543, 1072, 1416, 269, 273, 769, 1840, 267, 519, 2475, 2551, 568, 7680, 513, 15295, 6521, 2509, 2799, 4763, 269, 17497, 267, 519, 2475, 17227, 13163, 9193, 602, 540, 476, 29044, 2929, 1977, 11317, 267, 5111, 476, 1724, 260, 616, 3979, 1977, 267, 476, 277, 260, 7489, 267, 476, 271, 269, 273, 260, 7111, 22963, 610, 4033, 910, 7414, 29474, 267, 476, 274, 260, 1079, 610, 811, 14797, 267, 543, 476, 866, 260, 21337, 610, 17104, 269, 274, 2755, 519, 2551, 4129, 5809, 267, 476, 5038, 260, 540, 1072, 1416, 7426, 616, 2392, 7631, 2299, 6519, 269, 275, 5047, 267, 1382, 5267, 267, 538, 519, 2104, 267, 27877, 270, 18345, 4205, 786, 581, 538, 3444, 7292, 11305, 8590, 10085, 6758, 269, 276, 1452, 15295, 10593, 5031, 513, 991, 585, 519, 6765, 540, 17801, 1227, 543, 15520, 19579, 1072, 1416, 267, 1519, 5711, 1072, 1416, 267, 547, 2743, 519, 2115, 540, 513, 4129, 4328, 2551, 563, 763, 4659, 540, 6925, 630, 296, 6865, 264, 8313, 267, 772, 928, 23974, 9615, 281, 4762, 1258, 1154, 30101, 543, 23532, 2598, 1706, 885, 538, 2657, 5516, 267, 514, 4034, 580, 730, 1072, 1416, 13103, 543, 519, 1909, 540, 9186, 543, 8305, 19685, 693, 519, 3461, 267, 12250, 267, 543, 1072, 1416, 1062, 1377, 269, 277, 769, 713, 1867, 267, 519, 594, 6865, 1336, 12102, 2516, 941, 1447, 2693, 547, 4309, 13487, 6527, 610, 581, 2016, 1697, 2126, 1739, 513, 13487, 2680, 267, 278, 1447, 2693, 547, 4309, 4152, 267, 9584, 267, 610, 1928, 6646, 585, 2860, 267, 277, 267, 279, 1447, 2693, 547, 4309, 8459, 31533, 610, 13003, 267, 280, 543, 1447, 2693, 547, 4309, 27179, 7486, 5061, 267, 1015, 1851, 824, 1416, 2152, 269, 634, 1867, 849, 4857, 3604, 538, 6765, 540, 1416, 547, 12102, 5095, 693, 513, 19018, 622, 2557, 269, 277, 901, 814, 1044, 513, 3140, 7678, 267, 609, 3979, 1977, 5095, 8391, 2539, 2298, 540, 1416, 3379, 547, 6519, 13413, 269, 277, 267, 278, 267, 1015, 268, 1428, 3194, 814, 849, 1336, 602, 930, 540, 891, 13103, 8831, 3564, 2126, 543, 1416, 3664, 971, 607, 12102, 2516, 8391, 1114, 2792, 689, 1072, 1416, 7426, 269, 1556, 267, 1724, 2657, 1416, 7426, 949, 6108, 1447, 942, 1282, 20499, 609, 12102, 2550, 267, 1102, 18526, 2307, 3461, 8369, 827, 2126, 3664, 267, 543, 946, 513, 811, 11913, 8789, 3159, 267, 782, 7700, 547, 12102, 2550, 4466, 741, 1416, 547, 581, 1447, 3461, 19721, 269, 1556, 267, 1724, 11086, 267, 519, 4681, 540, 713, 1867, 1489, 602, 17697, 9186, 543, 7130, 941, 7700, 2188, 7133, 1072, 1416, 7426, 543, 741, 3461, 1416, 3664, 269, 277, 454, 3412, 14032, 12886, 949, 8915, 538, 1875, 31646, 5615, 971, 607, 3750, 3346, 543, 14302, 610, 16133, 267, 543, 1419, 2099, 513, 4744, 27937, 1063, 1018, 513, 1268, 21286, 569, 11099, 543, 1018, 568, 7184, 5498, 730, 538, 741, 4555, 270, 13905, 269, 1626, 267, 1704, 1955, 14032, 12886, 616, 1114, 982, 16765, 610, 8763, 10168, 267, 789, 616, 1419, 606, 13128, 267, 17499, 267, 7164, 2942, 2219, 610, 10182, 4724, 513, 12102, 1895, 543, 666, 25340, 1860, 4791, 3375, 6194, 269, 1240, 267, 866, 634, 4527, 540, 891, 12886, 1851, 1072, 1416, 7426, 543, 519, 2360, 593, 2298, 540, 1416, 616, 7282, 267, 607, 513, 3714, 6509, 949, 711, 5431, 891, 7184, 6079, 539, 4555, 610, 3527, 543, 875, 789, 1860, 741, 2702, 547, 5838, 31717, 1416, 269, 3958, 267, 891, 12886, 949, 7500, 693, 513, 19319, 547, 606, 2907, 7925, 3461, 2551, 269, 1240, 1955, 14032, 12886, 723, 1044, 21503, 14916, 538, 1072, 1416, 282, 2705, 267, 972, 568, 513, 3668, 540, 3332, 538, 519, 5959, 3924, 269, 1280, 1383, 267, 835, 1353, 8947, 7915, 12886, 1644, 547, 5198, 543, 519, 2360, 593, 24782, 262, 3664, 547, 11177, 4522, 269, 736, 19239, 1235, 941, 2016, 513, 4791, 9183, 2059, 609, 11147, 540, 513, 4563, 543, 6519, 3461, 543, 513, 9178, 539, 5694, 269, 4437, 1162, 941, 6027, 1498, 606, 8763, 18102, 1644, 547, 875, 789, 1131, 1521, 519, 3461, 607, 1134, 607, 1955, 14032, 4889, 725, 18873, 630, 296, 2969, 264, 547, 2268, 7915, 12886, 269, 634, 1353, 1336, 602, 2949, 267, 24782, 941, 3648, 811, 2693, 547, 4363, 3597, 12324, 3797, 630, 305, 6311, 264, 547, 6519, 2550, 543, 3648, 811, 2693, 547, 4363, 10868, 585, 4563, 2550, 3079, 540, 513, 11808, 269, 736, 3958, 267, 476, 11011, 260, 540, 5171, 20639, 1164, 593, 519, 5198, 13283, 594, 2969, 1449, 543, 476, 8064, 260, 20639, 1164, 593, 519, 5198, 5959, 18756, 594, 2969, 1449, 11744, 605, 268, 19669, 12886, 585, 1312, 594, 2969, 4255, 267, 543, 10834, 602, 7292, 12886, 1522, 3310, 519, 2298, 540, 5959, 1416, 4607, 676, 4563, 2550, 269, 736, 454, 288, 1826, 540, 4207, 17697, 9186, 267, 2681, 15918, 785, 7292, 8456, 267, 949, 2491, 1699, 1382, 4681, 1644, 547, 18312, 1416, 543, 17697, 12886, 269, 7822, 15918, 785, 7292, 16809, 666, 581, 4330, 607, 513, 1305, 540, 4978, 1031, 547, 1118, 2631, 540, 1514, 6688, 5473, 5198, 602, 11363, 7663, 8864, 543, 1281, 711, 708, 12393, 2043, 945, 616, 6519, 538, 10168, 269, 272, 267, 2641, 267, 2420, 5047, 267, 513, 2681, 15918, 785, 16809, 6212, 593, 519, 3661, 602, 10168, 568, 513, 1523, 540, 519, 2250, 543, 782, 7606, 723, 3160, 3255, 538, 4207, 2486, 269, 272, 267, 2641, 8409, 945, 24049, 547, 713, 16809, 3180, 519, 3661, 602, 519, 2681, 540, 513, 1268, 781, 2960, 568, 711, 2938, 267, 3025, 568, 3160, 267, 543, 2417, 1727, 4680, 519, 2070, 602, 10168, 568, 606, 5571, 6848, 1966, 269, 2641, 901, 1361, 11043, 5133, 568, 2417, 6045, 607, 835, 602, 17648, 1362, 543, 2528, 267, 711, 12250, 10168, 267, 616, 3743, 585, 1514, 31716, 269, 2537, 3194, 5267, 950, 11117, 267, 1072, 1416, 7426, 609, 2362, 2681, 15918, 785, 7292, 16809, 8464, 949, 4497, 538, 7292, 569, 1202, 17567, 2623, 543, 8858, 606, 2333, 538, 2942, 4664, 543, 513, 3668, 540, 17801, 32241, 6568, 269, 2641, 267, 2190, 268, 2767, 3958, 267, 1382, 5267, 2043, 20401, 532, 547, 2681, 15918, 785, 6208, 949, 1397, 2362, 2157, 540, 12886, 593, 17697, 543, 8763, 3800 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 692, 8196, 707, 1770, 5858, 547, 1265, 519, 2009, 2418, 540, 19569, 365, 692, 16605, 519, 1770, 5858, 13561, 585, 4704, 1282, 2221, 779, 4967, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 2162, 476, 275, 269, 278, 769, 2091, 17832, 12793, 692, 11917, 16633, 1384, 26368, 519, 6389, 543, 2039, 540, 519, 11201, 25066, 3252, 692, 8196, 11201, 4645, 3252, 547, 1265, 7285, 692, 24066, 10663, 10659, 540, 4645, 3252, 692, 1892, 2422, 707, 9498, 547, 6218, 519, 1614, 2042, 689, 11350, 1740, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1103, 2091, 590, 710, 9577, 281, 20211, 7562, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4855, 519, 3169, 1871, 780, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4855, 519, 3169, 1871, 630, 15290, 2009, 2020, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 343, 692, 7078, 692, 1892, 4855, 519, 3169, 1871, 540, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 343, 692, 7078, 692, 1892, 4855, 519, 3169, 1871, 540, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4147, 1740, 630, 2791, 8347, 2020, 1892, 22443, 7084, 595, 310, 476, 275, 269, 278, 692, 1892, 623, 326, 269, 476, 31620, 281, 1948, 276, 268, 1428, 9642, 267, 476, 866, 268, 2537, 9642, 267, 476, 2767, 268, 7871, 9642, 267, 476, 10170, 692, 1892, 14581, 692, 1892, 22443, 7084, 670, 310, 476, 275, 269, 278, 692, 1892, 623, 326, 269, 476, 31620, 281, 1948, 2190, 267, 476, 2918, 267, 3953, 267, 476, 4366, 267, 476, 6321, 630, 21459, 2328, 5346, 1070, 476, 7761, 267, 476, 3199, 268, 10695, 782, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 0, 1012, 14419, 31887, 540, 19218, 267, 15379, 7177, 692, 10112, 9892, 6435, 1384, 29991, 7167, 659, 13330, 540, 19218, 1384, 288, 476, 736, 3852, 358, 19919, 568, 4448, 538, 3126, 609, 513, 16509, 267, 513, 19218, 543, 606, 993, 31461, 2066, 513, 476, 1839, 966, 4756, 4908, 3761, 269, 2755, 519, 4908, 568, 476, 6110, 21636, 267, 519, 1699, 568, 693, 922, 5021, 1871, 540, 476, 271, 269, 276, 589, 543, 1761, 3017, 2066, 519, 19218, 568, 476, 5611, 966, 269, 14419, 1384, 272, 269, 7167, 659, 13330, 540, 19218, 267, 543, 692, 273, 269, 18650, 543, 32366, 766, 540, 16509, 780, 8201, 692, 11405, 692, 5416, 264, 2913, 31887, 815, 595, 2484, 611, 692, 4910, 517, 656, 4908, 267, 535, 271, 815, 476, 6110, 21636, 692, 22479, 659, 1438, 2746, 766, 267, 2473, 595, 815, 272, 1315, 28911, 290, 815, 1741, 476, 272, 1315, 630, 273, 11027, 6398, 476, 6110, 6398, 595, 264, 815, 630, 272, 270, 8517, 11027, 6398, 595, 264, 3852, 358, 692, 14157, 5653, 2066, 4390, 815, 1955, 2473, 290, 815, 476, 5611, 966, 692, 3412, 815, 476, 271, 269, 276, 589, 692, 30043, 7673, 1109, 476, 271, 269, 276, 1315, 476, 8517, 11027, 595, 815, 476, 5611, 692, 290, 815, 1741, 476, 271, 269, 276, 1315, 630, 8517, 6398, 11027, 6398, 476, 5611, 2020, 284, 476, 272, 269, 30444, 274, 6398, 476, 1015, 268, 476, 277, 674, 692, 528, 7673, 595, 815, 476, 272, 269, 30444, 274, 13179, 293, 692, 6357, 264, 3396, 1741, 2913, 267, 681, 299, 543, 700, 581, 519, 4187, 543, 32366, 766, 540, 16509, 6606, 692, 14483, 267, 594, 544, 3396, 1109, 815, 7673, 1109, 966, 270, 630, 305, 1341, 681, 299, 2020, 271, 269, 276, 815, 476, 1839, 1315, 476, 736, 1341, 681, 299, 630, 286, 7343, 29736, 6453, 966, 815, 476, 1839, 966, 2020, 12435, 815, 476, 1789, 3852, 358, 692, 2971, 3690, 626, 528, 1979, 2084, 267, 7182, 540, 21689, 547, 3490, 1979, 2084, 692, 3916, 1080, 540, 21689, 547, 3490, 1979, 2084, 692, 2971, 1548, 568, 5921, 676, 14443, 267, 1548, 568, 5921, 676, 14443, 286, 3955, 4533, 568, 606, 13718, 1432, 568, 5921, 676, 14443, 286, 3955, 4533, 568, 606, 5007, 5365, 602, 3123, 513, 31110, 19485, 547, 7914, 547, 513, 1880, 1016, 709, 339, 710, 780, 2971, 1548, 568, 1802, 2758, 267, 1548, 568, 1473, 340, 2758, 1473, 340, 2758, 267, 849, 1634, 607, 513, 1781, 651, 267, 568, 27250, 1432, 568, 1473, 340, 2758, 1473, 340, 2758, 267, 849, 1634, 607, 513, 1781, 651, 267, 568, 1776, 12809, 1826, 5122, 5057, 2966, 547, 1491, 4324, 540, 713, 2078, 676, 8108, 513, 1454, 6793, 6419, 692, 2971, 1548, 798, 596, 1611, 676, 5123, 5311, 267, 1627, 269, 1548, 798, 596, 1611, 676, 18001, 25627, 286, 27250, 304, 269, 1548, 798, 596, 1611, 676, 18001, 25627, 286, 898, 568, 3044, 2259, 538, 519, 2136, 2276, 547, 1374, 622, 519, 5123, 589, 5174, 4211, 971, 602, 896, 7059, 2175, 519, 6453, 543, 1699, 538, 692, 2971, 5843, 19055, 518, 7679, 5217, 267, 634, 3094, 577, 3096, 513, 476, 25870, 5292, 339, 476, 2004, 21636, 8028, 5179, 267, 865, 536, 13718, 763, 3094, 577, 3096, 513, 476, 25870, 5292, 339, 476, 2004, 21636, 8028, 5179, 267, 865, 1312, 519, 909, 270, 6658, 543, 2196, 270, 17380, 8060, 2965, 7500, 1341, 2190, 309, 882, 904, 267, 4171, 17066, 6467, 519, 476, 25870, 309, 659, 547, 519, 3094, 577, 269, 634, 882, 904, 849, 605, 692, 2971, 7913, 19554, 744, 12965, 24005, 2073, 2491, 519, 7913, 19554, 744, 12965, 8113, 641, 692, 1410, 21622, 519, 7913, 19554, 744, 12965, 24005, 692, 2971, 667, 322, 3684, 267, 851, 540, 546, 322, 3684, 692, 4820, 540, 546, 322, 3684, 692, 2971, 1548, 6106, 616, 4988, 896, 1439, 547, 1439, 4494, 14479, 267, 1627, 269, 1548, 6106, 13718, 304, 269, 1548, 6106, 616, 4988, 896, 1439, 547, 1439, 4494, 14479, 286, 700, 16558, 476, 275, 268, 278, 540, 18869, 268, 5308, 296, 4704, 2203, 5968, 609, 9263, 9988, 538, 1439, 1949, 269, 769, 13591, 1949, 267, 628, 692, 2971, 8000, 11230, 6248, 1826, 546, 341, 332, 267, 8000, 11230, 6248, 1826, 667, 30470, 281, 589, 1494, 11230, 6248, 1826, 540, 13718, 22025, 11230, 6248, 1826, 667, 30470, 281, 589, 1494, 11230, 6248, 1826, 540, 667, 30470, 267, 18271, 6453, 6476, 4480, 269, 769, 713, 667, 30470, 519, 7164, 30579, 568, 3379, 609, 513, 4704, 6453, 1871, 568, 6378, 676, 692, 2971, 11512, 519, 543, 19235, 910, 31110, 19485, 267, 11512, 519, 6730, 717, 2969, 2464, 910, 12130, 1886, 549, 806, 13718, 23737, 519, 6730, 717, 2969, 2464, 910, 12130, 1886, 549, 19485, 286, 634, 6730, 717, 12442, 814, 513, 7954, 476, 272, 610, 1164, 3977, 952, 519, 3003, 11378, 616, 1164, 269, 634, 1630, 18978, 543, 3090, 4082, 585, 513, 476, 274, 2987, 1584, 6730, 10766, 568, 15524, 692, 2162, 3503, 2659, 24606, 2439, 2971, 2667, 3293, 589, 10030, 6103, 692, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2439, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 258, 9351, 910, 18738, 256, 281, 8293, 4100, 267, 25351, 9201, 267, 543, 10222, 9201, 692, 6944, 1026, 12460, 281, 645, 686, 3570, 623, 4532, 615, 686, 269, 7689, 9517, 281, 476, 13647, 6349, 692, 25898, 596, 899, 519, 834, 1231, 728, 257, 1085, 17274, 593, 606, 1271, 834, 19327, 257, 540, 9511, 286, 589, 3381, 543, 2228, 2259, 786, 1397, 596, 875, 547, 1265, 875, 1082, 10945, 3514, 3330, 513, 6906, 543, 1018, 513, 6263, 13735, 834, 273, 257, 1797, 2439, 322, 20975, 692, 1012, 1773, 2033, 16387, 630, 273, 291, 2020, 11357, 915, 454, 13043, 454, 14048, 2511, 454, 24058, 454, 17367, 1275, 2511, 454, 299, 542, 267, 17305, 614, 454, 29557, 3427, 630, 277, 268, 279, 994, 8893, 7392, 454, 30022, 2372, 2044, 692, 1012, 7689, 4643, 910, 5192, 898, 2439, 29423, 1470, 1384, 288, 2863, 22123, 1175, 1572, 543, 1767, 1352, 2115, 1007, 24095, 693, 1200, 2777, 780, 1892, 2052, 596, 948, 1200, 4137, 856, 1175, 875, 1454, 32466, 547, 1931, 2496, 2171, 1810, 1405, 1616, 1200, 547, 979, 936, 543, 723, 547, 2628, 1932, 1454, 267, 610, 979, 896, 543, 711, 723, 2614, 256, 2991, 713, 3992, 267, 596, 1058, 581, 2111, 547, 2285, 1200, 606, 3169, 2626, 2439, 3086, 267, 6148, 596, 723, 606, 589, 2863, 22123, 543, 6148, 596, 1810, 1405, 269, 17859, 267, 972, 786, 2097, 513, 942, 950, 596, 723, 547, 5173, 875, 1454, 2230, 568, 3330, 540, 1945, 780, 2690, 1383, 267, 596, 786, 693, 930, 1448, 991, 547, 1265, 2901, 1858, 585, 476, 273, 291, 630, 29788, 264, 5546, 267, 610, 4320, 585, 476, 274, 291, 5546, 269, 901, 3992, 786, 1445, 593, 519, 1523, 540, 4466, 1858, 780, 22704, 568, 519, 2450, 540, 2627, 2443, 596, 666, 1589, 540, 1858, 607, 519, 6482, 5442, 306, 22432, 540, 513, 3337, 780, 303, 1021, 547, 2015, 15943, 543, 1858, 269, 1452, 1079, 1419, 1205, 11821, 267, 865, 1577, 781, 2689, 519, 3017, 1063, 519, 1079, 6482, 2474, 1354, 649, 1205, 3323, 780, 1892, 1684, 596, 917, 1018, 519, 3017, 568, 1063, 15943, 543, 1858, 2496, 2252, 596, 991, 547, 2689, 713, 3126, 262, 1101, 3992, 593, 15943, 267, 1265, 621, 896, 13565, 16497, 538, 519, 1318, 11804, 2427, 8663, 780, 2252, 596, 1767, 15943, 568, 519, 3845, 1472, 519, 744, 308, 4811, 22432, 540, 513, 3337, 267, 543, 1858, 568, 519, 6482, 5442, 306, 22432, 540, 519, 3337, 267, 1287, 596, 616, 2953, 2439, 13914, 540, 15943, 607, 513, 20545, 589, 4629, 26685, 513, 3959, 267, 543, 519, 1858, 568, 519, 3003, 13452, 5442, 306, 22432, 540, 602, 20545, 269, 6875, 513, 8792, 543, 4605, 602, 538, 707, 2247, 269, 16593, 2685, 267, 621, 786, 948, 596, 1832, 1858, 543, 15943, 2786, 780, 3383, 267, 1577, 781, 7914, 1318, 936, 519, 15943, 20545, 543, 883, 519, 1858, 540, 519, 13452, 1631, 269, 0, 1012, 18248, 692, 2162, 634, 2372, 652, 585, 476, 10384, 281, 28315, 17918, 7420, 630, 12585, 2020, 312, 16518, 267, 1109, 10048, 21908, 17918, 11540, 513, 17918, 2243, 593, 938, 5816, 269, 4653, 267, 789, 723, 4553, 909, 609, 519, 2626, 1384, 2026, 568, 519, 2013, 609, 1034, 5311, 2042, 267, 707, 1101, 1900, 568, 547, 12337, 519, 1101, 1896, 2474, 269, 634, 4542, 5654, 30299, 267, 855, 952, 596, 960, 689, 519, 3330, 856, 267, 18245, 1931, 540, 4238, 267, 596, 3580, 581, 538, 1434, 3337, 269, 1684, 519, 9273, 5402, 543, 5693, 267, 711, 1152, 865, 602, 596, 1810, 1406, 1118, 513, 12161, 855, 849, 865, 602, 596, 666, 5544, 6932, 3270, 780, 288, 562, 815, 476, 1626, 1107, 630, 275, 1107, 562, 264, 476, 274, 270, 347, 333, 1107, 476, 275, 2008, 2252, 562, 815, 476, 272, 267, 1287, 589, 476, 272, 815, 476, 1626, 1107, 630, 275, 1107, 476, 272, 264, 476, 274, 270, 347, 272, 1107, 476, 275, 347, 815, 476, 1626, 1107, 630, 274, 264, 476, 274, 270, 347, 1700, 476, 274, 347, 815, 476, 1626, 1107, 476, 274, 476, 274, 270, 274, 815, 476, 1626, 1107, 476, 274, 476, 273, 815, 476, 1626, 1107, 476, 280, 815, 476, 278, 454, 2252, 562, 815, 476, 273, 267, 1287, 589, 476, 273, 815, 476, 1626, 1107, 630, 275, 1107, 476, 273, 264, 476, 274, 270, 347, 273, 1107, 476, 275, 347, 815, 476, 1626, 1107, 630, 273, 264, 274, 270, 347, 1700, 476, 273, 347, 815, 476, 1626, 1107, 476, 2537, 270, 273, 815, 476, 1626, 1107, 476, 2420, 815, 476, 1626, 1107, 476, 275, 815, 476, 1321, 454, 2252, 562, 815, 476, 274, 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 ]
[ 0, 13043, 476, 6321, 272, 670, 12096, 476, 1001, 272, 14581, 476, 272, 667, 4319, 28226, 476, 272, 269, 2913, 717, 581, 513, 1895, 269, 28171, 602, 519, 3961, 3693, 540, 717, 568, 2189, 630, 7474, 568, 267, 972, 568, 1152, 835, 3693, 540, 717, 17598, 519, 632, 16667, 940, 3959, 540, 606, 3961, 3693, 1040, 901, 1175, 328, 16667, 525, 938, 946, 540, 519, 2027, 3090, 968, 552, 9232, 269, 476, 273, 269, 2913, 717, 581, 513, 19509, 333, 924, 1895, 269, 630, 320, 264, 8058, 602, 972, 616, 606, 9642, 1297, 540, 1535, 17995, 717, 971, 602, 1535, 476, 274, 815, 552, 1547, 630, 321, 264, 8058, 602, 972, 616, 606, 1256, 1297, 540, 1535, 17995, 717, 971, 602, 1535, 476, 273, 476, 277, 815, 552, 1547, 630, 295, 842, 281, 1548, 568, 519, 11201, 540, 1535, 562, 7790, 264, 476, 274, 269, 2913, 717, 581, 513, 19509, 333, 924, 1895, 269, 1280, 782, 513, 14720, 17995, 717, 2073, 1397, 602, 705, 543, 22678, 723, 519, 1482, 1931, 607, 2609, 540, 717, 1547, 476, 275, 269, 2913, 717, 581, 513, 1895, 543, 19509, 343, 606, 3693, 575, 17995, 717, 1547, 1546, 16667, 928, 513, 1599, 26420, 575, 2433, 717, 9890, 717, 676, 26420, 575, 630, 554, 3738, 815, 575, 327, 326, 268, 272, 585, 782, 554, 17995, 717, 1547, 630, 320, 264, 28171, 602, 26420, 575, 568, 513, 1979, 20287, 630, 821, 3562, 14633, 543, 5196, 1040, 630, 321, 264, 28171, 602, 26420, 575, 630, 705, 3738, 815, 26420, 575, 630, 513, 3738, 26420, 575, 630, 536, 3738, 585, 782, 513, 14720, 17995, 717, 1547, 1452, 1079, 3601, 1611, 602, 26420, 575, 568, 606, 3678, 6973, 1143, 630, 320, 968, 1910, 7825, 4479, 14615, 540, 717, 1547, 476, 276, 563, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 454, 17739, 519, 1964, 540, 519, 3561, 563, 1607, 4063, 729, 23345, 593, 476, 4905, 270, 5400, 270, 1001, 273, 585, 519, 1576, 13878, 295, 476, 6321, 272, 6026, 676, 7905, 28226, 1282, 519, 11354, 1412, 1556, 2165, 693, 2160, 540, 24543, 269, 0, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 4462, 8971, 1540, 1257, 12744, 281, 575, 26169, 15301, 1724, 2567, 579, 272, 263, 1990, 267, 512, 3738, 815, 661, 272, 263, 19084, 272, 264, 543, 26169, 15301, 1626, 264, 10778, 2171, 3489, 281, 630, 2420, 264, 6684, 267, 8380, 26169, 15301, 1691, 2187, 663, 26169, 15301, 1704, 264, 10778, 10190, 267, 630, 2537, 264, 20223, 519, 25317, 5223, 14668, 607, 281, 630, 2190, 264, 1287, 267, 26169, 15301, 2537, 2187, 548, 6758, 547, 281, 630, 1839, 264, 23889, 26169, 15301, 1839, 264, 3947, 2433, 630, 2918, 264, 17006, 26169, 15301, 2420, 2187, 263, 2764, 264, 15240, 23082, 26169, 15301, 2764, 264, 883, 26169, 15301, 2918, 2187, 31711, 519, 6771, 570, 543, 8086, 11664, 681, 607, 912, 9558, 3939, 11664, 2433, 630, 1789, 264, 14506, 11664, 5236, 376, 504, 630, 4029, 264, 4635, 570, 543, 681, 267, 519, 6771, 5951, 661, 272, 6025, 266, 345, 270, 309, 272, 264, 543, 454, 1492, 8086, 5951, 674, 273, 6025, 22271, 270, 309, 273, 264, 616, 2016, 676, 281, 630, 3953, 994, 16708, 272, 267, 309, 272, 476, 273, 661, 272, 6025, 266, 345, 270, 309, 272, 6661, 307, 263, 10382, 264, 661, 273, 6025, 266, 345, 270, 309, 273, 264, 476, 272, 269, 276, 570, 454, 8469, 1756, 476, 272, 1990, 661, 273, 6025, 266, 345, 270, 309, 273, 264, 23839, 476, 273, 570, 543, 681, 476, 272, 476, 271, 269, 276, 681, 454, 271, 674, 273, 6025, 22271, 270, 309, 273, 264, 815, 307, 263, 10382, 264, 661, 273, 6025, 266, 345, 270, 309, 273, 994, 268, 271, 269, 276, 6543, 479, 273, 267, 309, 273, 14668, 284, 16708, 272, 309, 272, 270, 16708, 273, 309, 273, 476, 271, 476, 272, 454, 10382, 14668, 476, 273, 630, 275, 264, 2549, 680, 2305, 540, 513, 2627, 14404, 636, 454, 517, 519, 4702, 5127, 13702, 454, 2171, 2015, 519, 15562, 5951, 18640, 538, 513, 2627, 454, 1598, 23628, 593, 519, 4702, 5127, 13702, 267, 950, 519, 15562, 5951, 454, 292, 302, 6025, 264, 13685, 269, 634, 3830, 540, 519, 5163, 568, 2016, 676, 26169, 15301, 277, 2567, 630, 277, 994, 514, 799, 28911, 18575, 9764, 4908, 263, 2784, 32220, 5913, 1916, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 1691, 270, 1001, 275, 585, 519, 1576, 9460, 476, 6321, 279, 271, 6026, 676, 7905, 3220, 326, 6113, 1282, 519, 14400, 1412, 1691, 2165, 693, 4095, 4659, 540, 5303, 267, 16441, 333, 2967, 563, 268, 14400, 1412, 1691, 0, 19138, 519, 2360, 540, 2112, 998, 519, 4064, 540, 513, 1126, 269, 901, 4116, 781, 3391, 585, 13773, 7316, 1411, 3657, 543, 3973, 23680, 676, 3627, 15196, 928, 3568, 840, 268, 543, 2022, 268, 15105, 2238, 17047, 609, 5871, 11759, 3557, 11621, 269, 4841, 786, 946, 519, 960, 540, 3140, 5708, 543, 21141, 5931, 547, 1382, 875, 1004, 781, 2729, 538, 5507, 267, 4789, 4957, 1282, 543, 1310, 2622, 2782, 594, 269, 2991, 10962, 519, 4798, 538, 519, 3209, 267, 1053, 786, 1224, 543, 5659, 519, 1257, 269, 3414, 519, 3209, 267, 1382, 267, 543, 3140, 6054, 267, 789, 786, 1451, 827, 2022, 32034, 2566, 4524, 543, 2263, 2790, 1072, 2533, 2139, 547, 18884, 563, 21547, 17524, 534, 5753, 781, 14539, 6828, 568, 1753, 547, 1082, 540, 519, 1034, 3810, 28601, 543, 29810, 1453, 781, 791, 29251, 538, 13629, 281, 674, 1551, 541, 18135, 639, 12852, 26919, 267, 3171, 12685, 601, 543, 14886, 267, 3689, 5822, 267, 8361, 4591, 339, 267, 2398, 1342, 344, 7734, 267, 10162, 2130, 15588, 4964, 267, 543, 12384, 12551, 269, 631, 9573, 294, 4589, 543, 3879, 21116, 1331, 18238, 2961, 548, 267, 10793, 717, 656, 657, 267, 13690, 828, 569, 4024, 529, 4591, 339, 267, 32008, 12138, 267, 543, 8834, 590, 529, 282, 12300, 3197, 1331, 14068, 14173, 1399, 543, 14161, 519, 681, 2714, 933, 8814, 269, 0, 9617, 1317, 596, 2322, 1945, 538, 519, 9657, 10822, 3085, 1406, 1611, 621, 4991, 13381, 269, 769, 1931, 585, 513, 1570, 547, 2965, 581, 13381, 267, 2576, 1590, 1616, 547, 4444, 621, 543, 2490, 621, 883, 1945, 1007, 269, 10251, 267, 972, 616, 1312, 1483, 543, 9228, 7496, 950, 621, 2501, 547, 9657, 1031, 3536, 16291, 11183, 267, 971, 607, 4145, 827, 1426, 12526, 269, 6744, 609, 707, 9657, 9744, 827, 1018, 4523, 547, 519, 3536, 16291, 11183, 789, 4309, 563, 273, 269, 3281, 739, 707, 11183, 2443, 952, 2009, 563, 4462, 1652, 596, 2461, 5393, 30190, 609, 1129, 720, 543, 2069, 267, 6998, 14538, 547, 4990, 741, 6691, 1963, 689, 519, 17885, 949, 581, 606, 15081, 650, 6370, 269, 1879, 596, 946, 11003, 762, 2326, 267, 5561, 666, 12235, 3388, 883, 519, 1482, 10822, 269, 2334, 2306, 519, 1184, 4443, 585, 873, 543, 596, 269, 3619, 547, 4855, 3722, 20234, 8803, 2593, 547, 1265, 513, 9744, 2282, 596, 563, 274, 269, 11408, 581, 13533, 540, 3039, 31290, 563, 27916, 4768, 1218, 602, 1118, 519, 7029, 547, 979, 3039, 3068, 1776, 4161, 281, 1215, 798, 789, 917, 2436, 519, 968, 4818, 739, 762, 892, 11680, 543, 10824, 789, 4444, 2731, 616, 11003, 762, 286, 2368, 9755, 616, 2312, 827, 519, 6811, 789, 1118, 269, 11524, 5749, 1406, 269, 898, 779, 1434, 547, 2307, 2055, 543, 1271, 547, 1118, 2386, 519, 968, 13582, 892, 2472, 11751, 616, 14468, 676, 519, 21954, 22869, 15733, 4659, 267, 610, 645, 18444, 269, 2334, 786, 948, 596, 917, 4010, 1018, 596, 2461, 11449, 269, 3619, 547, 645, 18444, 779, 3896, 585, 513, 2407, 1592, 540, 14468, 2472, 563, 275, 269, 6153, 9746, 15114, 568, 1271, 547, 707, 14538, 563, 6624, 6800, 267, 3226, 7085, 3317, 10118, 267, 1616, 968, 26132, 892, 12478, 547, 957, 19100, 269, 4340, 547, 513, 2487, 5619, 676, 519, 7849, 16373, 4659, 267, 950, 772, 2529, 269, 6800, 917, 602, 513, 2754, 568, 13476, 543, 13998, 6857, 267, 476, 6812, 2600, 2161, 789, 2461, 811, 2693, 547, 2119, 922, 2472, 610, 2533, 269, 4329, 267, 476, 7871, 2600, 2161, 789, 2461, 811, 2693, 547, 1831, 10956, 5561, 269, 16639, 16291, 11183, 666, 581, 513, 3532, 1259, 547, 711, 1152, 5968, 707, 7029, 547, 6940, 267, 855, 849, 7794, 707, 6216, 779, 3239, 563, 276, 269, 1703, 616, 513, 2603, 540, 11003, 762, 11183, 5079, 563, 5804, 3048, 908, 609, 1114, 2326, 547, 8888, 1007, 2472, 267, 972, 568, 1631, 513, 2647, 3099, 540, 11003, 762, 11183, 3681, 2139, 585, 946, 269, 1452, 1331, 971, 2326, 607, 1135, 2643, 12519, 3679, 267, 610, 5068, 1500, 689, 2371, 282, 9126, 21692, 267, 519, 6775, 602, 3788, 1310, 10931, 2117, 2033, 568, 9268, 585, 4006, 282, 543, 2022, 15926, 10179, 1543, 267, 610, 1570, 602, 568, 16626, 689, 513, 1031, 1587, 543, 5828, 883, 1945, 1007, 269, 1452, 616, 782, 1373, 1031, 547, 1711, 2582, 14025, 11680, 267, 547, 30559, 11149, 267, 2759, 331, 2044, 267, 543, 824, 2010, 540, 11183, 563, 30789, 891, 2947, 2152, 538, 2247, 950, 6236, 707, 11183, 2115, 666, 1152, 948, 596, 581, 811, 3608, 543, 4264, 2469, 4464, 563, 27880, 6742, 710, 345, 568, 20885, 631, 13273, 585, 19889, 6261, 20094, 267, 799, 2306, 3536, 16291, 11183, 689, 7791, 2200, 543, 2022, 15926, 10179, 13381, 1543, 269, 0, 306, 5844, 23862, 12280, 15540, 630, 306, 10680, 264, 568, 519, 3056, 2014, 540, 2022, 928, 517, 7614, 10867, 9019, 538, 519, 2136, 2276, 269, 9737, 476, 4335, 271, 543, 476, 7785, 271, 12256, 5884, 609, 713, 5868, 1142, 1032, 267, 609, 606, 11841, 538, 476, 1960, 273, 540, 476, 272, 269, 273, 829, 476, 1911, 271, 2661, 24570, 269, 272, 590, 10680, 568, 3989, 607, 519, 6727, 2669, 540, 606, 10867, 7820, 982, 476, 272, 1032, 602, 3788, 32584, 1310, 513, 9488, 2013, 7634, 267, 1519, 2773, 540, 513, 2347, 1313, 641, 1910, 267, 6514, 540, 519, 2669, 6429, 267, 543, 2689, 540, 519, 4791, 1686, 269, 273, 5606, 1218, 609, 590, 10680, 5884, 1282, 513, 2565, 11095, 1974, 267, 799, 19589, 1063, 476, 273, 543, 476, 275, 3275, 540, 2085, 563, 8450, 849, 6032, 476, 4281, 274, 267, 476, 278, 3445, 267, 543, 476, 278, 4817, 563, 2467, 568, 2963, 689, 28772, 11043, 543, 2619, 11043, 13753, 547, 1489, 519, 1523, 602, 590, 10680, 12256, 693, 4332, 616, 1114, 689, 1346, 945, 7639, 269, 1717, 267, 972, 616, 1100, 4791, 7355, 602, 10646, 513, 20169, 607, 1164, 1981, 269, 25731, 328, 11043, 2090, 723, 8179, 4162, 538, 519, 27514, 543, 454, 310, 3739, 518, 631, 269, 12619, 19024, 543, 590, 5844, 23862, 12280, 15540, 269, 808, 24717, 269, 476, 1960, 276, 282, 24129, 263, 1015, 2567, 279, 1240, 268, 279, 866, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 1960, 276, 269, 271, 3374, 10711, 6110, 278, 2412, 2412, 0, 307, 11698, 267, 5147, 476, 1704, 267, 476, 1220, 278, 454, 763, 27869, 18888, 281, 3204, 523, 3130, 454, 301, 984, 1328, 3576, 803, 909, 593, 519, 2709, 547, 1831, 606, 10995, 14704, 269, 634, 3804, 729, 547, 4137, 856, 513, 1259, 540, 14291, 519, 2947, 2472, 540, 519, 11676, 8646, 5114, 883, 1614, 1007, 14041, 6675, 1496, 763, 27869, 18888, 4940, 634, 2947, 2472, 616, 1614, 3327, 630, 274, 290, 264, 7135, 543, 519, 1614, 1007, 14041, 6675, 616, 2947, 3327, 630, 276, 290, 264, 7135, 269, 3371, 781, 875, 621, 781, 2944, 4429, 10521, 476, 274, 290, 6675, 616, 8678, 547, 1118, 835, 3670, 3327, 630, 277, 290, 264, 7623, 630, 325, 28229, 1040, 3973, 1079, 540, 519, 3327, 8444, 689, 535, 28229, 616, 11843, 547, 1776, 476, 274, 290, 11140, 547, 1118, 519, 1101, 540, 519, 2947, 3327, 2472, 630, 1042, 267, 10775, 21695, 1040, 901, 3762, 513, 476, 275, 290, 11140, 602, 568, 8678, 547, 1776, 835, 540, 519, 476, 274, 290, 6675, 547, 3132, 513, 5722, 3327, 630, 278, 290, 264, 4006, 1572, 6822, 334, 515, 696, 21695, 269, 5565, 3327, 616, 11843, 689, 6822, 334, 515, 696, 21695, 547, 519, 2063, 476, 274, 290, 11140, 547, 3132, 513, 2034, 476, 276, 290, 11140, 269, 901, 3762, 519, 3791, 543, 2063, 476, 276, 290, 11140, 563, 8170, 1576, 972, 781, 513, 2603, 540, 535, 1342, 1782, 538, 519, 13374, 547, 1205, 519, 6675, 883, 519, 1318, 1106, 585, 891, 6547, 269, 3371, 781, 519, 2347, 27869 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25259, 7020, 540, 18119, 1210, 8955, 14001, 28264, 21655, 630, 1805, 821, 1696, 620, 1421, 476, 1001, 273, 282, 1261, 731, 543, 623, 3739, 267, 476, 1220, 274, 264, 543, 519, 26945, 19718, 540, 32764, 273, 1210, 606, 27829, 2095, 2389, 4209, 9280, 609, 513, 23510, 7630, 528, 630, 24730, 1696, 620, 1421, 476, 1001, 274, 1070, 607, 1134, 607, 3114, 20592, 1210, 1312, 2199, 968, 7901, 892, 630, 14706, 8820, 2203, 264, 543, 1804, 8397, 2518, 7998, 20675, 1636, 3631, 630, 301, 823, 569, 1696, 620, 267, 476, 1001, 278, 282, 28199, 1696, 620, 1421, 476, 1220, 280, 1040, 634, 1382, 786, 1291, 547, 606, 4824, 6041, 540, 3114, 16617, 6127, 538, 3631, 602, 616, 1031, 585, 519, 12605, 540, 2104, 2242, 538, 2916, 543, 2011, 2298, 563, 763, 1007, 1620, 786, 1683, 1271, 3403, 883, 3631, 593, 513, 2039, 540, 8901, 10253, 3056, 547, 513, 1732, 16762, 12588, 540, 11626, 5888, 16046, 547, 5533, 543, 2916, 269, 2859, 4481, 713, 1788, 786, 1291, 547, 606, 4824, 6041, 540, 3114, 16617, 3157, 1369, 3631, 585, 12719, 1072, 543, 2916, 1644, 10250, 9362, 543, 5536, 267, 799, 568, 6417, 676, 27846, 543, 824, 12444, 1218, 267, 3056, 547, 4824, 16762, 12588, 540, 11626, 5888, 12725, 267, 3148, 958, 543, 11451, 563, 11854, 6900, 2127, 540, 1445, 585, 519, 1788, 786, 1331, 912, 268, 20970, 540, 32764, 273, 543, 21614, 273, 19718, 14170, 5196, 513, 3099, 540, 4694, 615, 1227, 4143, 1016, 2173, 545, 1258, 20851, 11169, 1210, 938, 4540, 27829, 2095, 8546, 630, 24730, 1696, 620, 1421, 476, 1001, 274, 282, 8235, 344, 1696, 620, 1421, 476, 1001, 277, 1070, 3226, 607, 513, 1599, 540, 2837, 543, 3448, 11195, 269, 1715, 267, 6213, 2409, 2919, 693, 2274, 2644, 786, 581, 1031, 547, 3713, 1367, 21614, 273, 2249, 267, 585, 1383, 676, 3114, 7503, 547, 519, 7222, 12659, 20293, 9097, 267, 21614, 267, 609, 7766, 7020, 676, 8955, 14001, 28264, 21655, 630, 4002, 601, 1696, 620, 1421, 476, 1001, 278, 1916, 268, 1677, 2268, 2047, 519, 2504, 2557, 540, 6491, 9317, 3679, 630, 295, 2177, 302, 264, 543, 18119, 630, 9816, 273, 543, 27846, 264, 689, 513, 2039, 540, 27829, 7252, 950, 25139, 693, 957, 28649, 7708, 1842, 335, 8879, 20966, 543, 896, 11626, 2175, 563, 268, 1677, 22945, 519, 11626, 5222, 540, 519, 19718, 540, 32764, 273, 543, 21614, 273, 593, 20851, 11169, 543, 519, 2504, 540, 18119, 543, 670, 2177, 302, 593, 513, 2039, 540, 8901, 10253, 267, 585, 1383, 1210, 513, 4216, 2203, 6220, 519, 2143, 9457, 11906, 11115, 1143, 267, 519, 6237, 654, 27184, 4211, 1335, 630, 5976, 606, 8561, 593, 26130, 4525, 264, 543, 2518, 772, 300, 268, 20084, 7563, 630, 20084, 2146, 11626, 7998, 8584, 14058, 565, 264, 3631, 269, 589, 1880, 1445, 568, 519, 1764, 593, 519, 19842, 4390, 543, 5888, 540, 6552, 543, 4683, 5054, 563, 22025, 1113, 585, 1164, 1764, 6364, 454, 763, 1788, 786, 5838, 606, 4824, 1620, 540, 519, 1909, 540, 20851, 11169, 538, 519, 7001, 22812, 3161, 540, 19535, 3154, 25686, 2249, 267, 3056, 547, 513, 1732, 16762, 12588, 540, 11626, 5888, 16046, 547, 5533, 543, 2916, 269, 13018, 267, 713, 1788, 786, 2087, 519, 6111, 540, 3114, 16617, 3157, 543, 2504, 540, 6281, 14107, 1369, 2011, 2298, 543, 2916, 3631, 267, 3056, 547, 4824, 16762, 12588, 540, 11626, 5888, 543, 2916, 1312, 3148, 958, 543, 11451, 269, 634, 960, 786, 581, 540, 1880, 1719, 547, 519, 4972, 540, 6355, 267, 6052, 543, 11633, 15613, 267, 543, 519, 4972, 585, 5113, 267, 5253, 543, 22798, 16457, 267, 543, 786, 849, 1683, 606, 4998, 6174, 585, 3163, 538, 5980, 2238, 267, 585, 1383, 14245, 538, 12140, 269, 634, 2164, 689, 519, 1788, 786, 581, 22412, 730, 4922, 547, 519, 3621, 2146, 998, 1164, 2298, 12326, 538, 3056, 3486, 13746, 543, 693, 3486, 19014, 563, 763, 2875, 786, 960, 896, 519, 15569, 540, 7905, 667, 3118, 928, 1261, 731, 630, 18662, 540, 11061, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 543, 4643, 8767, 11061, 6828, 1070, 3220, 23436, 1733, 531, 2917, 630, 18662, 540, 11061, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 543, 4643, 8767, 11061, 6828, 264, 543, 3220, 19378, 28199, 630, 18662, 540, 3047, 543, 5113, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 11061, 543, 589, 14058, 11169, 1895, 540, 519, 4659, 585, 8693, 543, 27321, 3163, 630, 2975, 3008, 264, 543, 10615, 540, 519, 10418, 540, 28742, 585, 3525, 2454, 22014, 1877, 543, 8693, 630, 4753, 300, 3722, 1040, 634, 19217, 832, 1291, 3742, 543, 7524, 1382, 2516, 3695, 519, 1909, 540, 11626, 7998, 543, 27829, 538, 2011, 2298, 267, 1210, 8097, 543, 20592, 4485, 269, 1358, 616, 849, 2818, 540, 519, 2274, 2644, 23270, 267, 22014, 1877, 543, 11206, 630, 4041, 28425, 264, 10418, 269, 1703, 786, 849, 581, 3255, 547, 960, 609, 3486, 1788, 4891, 543, 3643, 741, 20682, 563, 2791, 786, 960, 538, 1134, 25668, 5792, 20682, 543, 581, 851, 540, 606, 3742, 267, 14762, 543, 1134, 30845, 11626, 7998, 2146, 269, 634, 2274, 2644, 2516, 4309, 7616, 689, 519, 2817, 10418, 585, 27321, 3163, 630, 10998, 3008, 264, 543, 616, 851, 540, 519, 27321, 20970, 11120, 1006, 267, 543, 723, 606, 18368, 3056, 10639, 538, 11626, 7998, 585, 2361, 7403, 540, 11626, 5888, 267, 8047, 2090, 540, 3114, 737, 27282, 543, 2584, 17190, 267, 543, 519, 1646, 540, 10230, 3631, 543, 3114, 6127, 267, 1519, 519, 9457, 11906, 11115, 1143, 630, 10157, 300, 1040, 11242, 538, 891, 1614, 2127, 616, 703, 2954, 5532, 543, 22524, 8817, 267, 3246, 513, 1713, 5413, 269, 634, 12854, 786, 1683, 513, 3376, 8552, 540, 1995, 538, 519, 946, 540, 1164, 1379, 22795, 267, 12511, 1949, 267, 25852, 267, 11418, 267, 2780, 6417, 1239, 11601, 1949, 543, 2409, 538, 10230, 9273, 12175, 1635, 2324, 609, 4274, 22602, 519, 2875, 786, 4309, 4359, 2930, 2866, 543, 3986, 741, 1983, 3490, 14320, 563, 763, 1788, 786, 849, 1331, 11285, 2866, 538, 630, 272, 264, 946, 543, 1646, 540, 4359, 10230, 3631, 267, 630, 273, 264, 2462, 1239, 2079, 267, 3308, 5314, 543, 7664, 267, 630, 274, 264, 7194, 543, 10462, 543, 630, 275, 264, 3621, 1603, 269, 1284, 9244, 1489, 1053, 547, 2328, 12326, 1282, 741, 12854, 630, 5408, 1806, 689, 3105, 1053, 593, 519, 5680, 3817, 540, 519, 19217, 832, 2016, 1657, 1040, 1411, 786, 581, 6462, 547, 7390, 1312, 3084, 543, 3486, 19014, 267, 543, 786, 4309, 513, 2647, 2039, 540, 2866, 267, 585, 1383, 538, 2792, 1983, 267, 1788, 2359, 267, 543, 609, 824, 2930, 3344, 630, 1721, 1383, 6997, 1613, 543, 7384, 1040, 4841, 723, 1569, 547, 2199, 1164, 2773, 7384, 6703, 607, 1134, 607, 1158, 11665, 1489, 998, 519, 10418, 585, 16869, 1047, 593, 3525, 2454, 519, 22014, 1877, 543, 8693, 630, 4753, 300, 3722, 264, 1107, 513, 6131, 2319, 3246, 2866, 585, 4359, 3631, 543, 1239, 563, 2791, 786, 849, 723, 1569, 547, 2866, 3177, 676, 519, 2817, 10418, 585, 27321, 3163, 971, 607, 519, 1488, 3757, 19639, 11365, 14400, 3427, 543, 824, 6030, 269, 634, 3811, 12854, 2875, 786, 723, 1569, 547, 513, 3376, 8552, 540, 2866, 11925, 602, 1331, 606, 3573, 2039, 540, 2866, 11925, 538, 10230, 20592, 267, 998, 547, 5883, 707, 4110, 267, 547, 8600, 585, 707, 642, 10216, 630, 10674, 2517, 4178, 269, 655, 525, 26973, 14259, 1456, 269, 548, 2644, 28482, 16896, 270, 1916, 24092, 715, 2207, 290, 25046, 3652, 4019, 269, 7248, 1218, 1058, 723, 513, 3689, 610, 476, 273, 281, 272, 4110, 538, 11061, 267, 8212, 267, 7025, 7070, 610, 513, 1644, 9015, 267, 610, 723, 513, 476, 273, 281, 273, 4110, 543, 849, 513, 27587, 28730, 269, 7248, 1218, 1058, 581, 513, 5177, 18299, 523, 267, 610, 606, 9167, 18299, 523, 945, 814, 5030, 538, 519, 5177, 585, 519, 2063, 476, 274, 1296, 23072, 15938, 610, 18544, 2069, 269, 15443, 573, 919, 1058, 723, 606, 1719, 538, 31627, 607, 1134, 607, 28429, 513, 4396, 6310, 5748, 269, 15232, 538, 5752, 1131, 581, 606, 5413, 563, 6635, 333, 1245, 267, 590, 269, 681, 1421, 1975, 571, 1188, 6352, 267, 667, 269, 966, 1421, 13879, 267, 808, 1421, 962, 817, 12711, 267, 715, 1421, 2233, 732, 267, 808, 1421, 645, 976, 836, 267, 645, 1421, 717, 4592, 267, 966, 1421, 3212, 2131, 523, 267, 594, 1421, 11066, 267, 589, 269, 595, 1421, 1325, 341, 664, 267, 590, 1421, 543, 631, 537, 4802, 267, 595, 12727, 16214, 540, 519, 2518, 30173, 568, 641, 16867, 2707, 543, 922, 5222, 593, 7286, 5214, 3327, 27829, 267, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 280, 267, 476, 10219, 274, 268, 14695, 273, 267, 476, 1220, 280, 454, 24730, 267, 594, 12282, 5919, 4223, 1492, 9749, 267, 623, 590, 808, 282, 1733, 531, 2917, 267, 700, 269, 918, 5919, 15588, 338, 267, 645, 5919, 2696, 323, 731, 267, 589, 5919, 645, 2801, 5633, 7304, 558, 3266, 267, 631, 11053, 5919, 1261, 731, 267, 667, 9950, 269, 12763, 906, 540, 19718, 14170, 585, 26945, 2530, 540, 32764, 273, 5196, 1016, 32342, 22803, 6070, 20851, 11169, 267, 8447, 11061, 11906, 8212, 267, 476, 1001, 274, 267, 476, 1428, 267, 476, 12553, 3066, 268, 12553, 3393, 454, 299, 820, 344, 267, 623, 269, 590, 269, 808, 1421, 7137, 651, 1889, 1512, 267, 570, 1421, 918, 1905, 325, 267, 631, 1421, 667, 2174, 523, 267, 808, 1421, 6008, 25534, 267, 590, 269, 590, 1421, 1733, 531, 2917, 267, 700, 269, 918, 1421, 769, 724, 600, 267, 570, 1421, 645, 2801, 5633, 7304, 558, 3266, 267, 631, 269, 570, 1421, 623, 7238, 338, 577, 331, 267, 772, 1421, 1744, 4275, 328, 11445, 267, 631, 1421, 2549, 10458, 267, 631, 1421, 543, 1261, 731, 267, 667, 269, 661, 12727, 634, 1198, 540, 25297, 543, 18236, 593, 519, 32764, 273, 19718, 676, 7319, 13427, 543, 6281, 5214, 27829, 5536, 267, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 1626, 267, 476, 9873, 3374, 268, 9873, 5325, 267, 476, 1001, 277, 454, 299, 2465, 808, 291, 267, 1733, 531, 2917, 700, 298, 267, 1261, 731, 16692, 267, 12942, 667, 267, 14480, 3467, 11555, 267, 16803, 808, 293, 267, 8479, 16692, 267, 30129, 808, 291, 267, 700, 879, 12028, 590, 267, 21890, 742, 10458, 808, 282, 26346, 6578, 2079, 540, 670, 2177, 302, 538, 3844, 5507, 8761, 513, 7508, 24817, 2707, 27321, 11061, 543, 8212, 476, 1626, 476, 28638, 278, 268, 28510, 275, 267, 476, 1001, 277, 454, 2662, 531, 2917, 700, 14389, 5919, 12942, 667, 5919, 6723, 594, 12282, 5919, 631, 1068, 525, 590, 5919, 11709, 18237, 868, 7967, 667, 5919, 570, 559, 326, 1676, 589, 5919, 4173, 337, 10458, 670, 5919, 27213, 631, 12282, 5919, 1261, 731, 667, 9950, 5919, 634, 3310, 540, 12269, 593, 9097, 9830, 281, 17325, 725, 543, 20592, 2090, 540, 670, 23682, 1282, 519, 10830, 7167, 13192, 774, 1005, 807, 630, 18449, 6311, 264, 5859, 538, 476, 1001, 271, 269, 27321, 11061, 543, 8212, 476, 1428, 476, 29044, 280, 268, 20065, 272, 267, 476, 1001, 276, 454, 16665, 15938, 5396, 912, 268, 27321, 2257, 454, 268, 7025, 2257, 454, 268, 2983, 26491, 2257, 454, 268, 7849, 9443, 454, 268, 8447, 2257, 0, 10111, 565, 7788, 667, 4428, 344, 779, 6648, 2048, 4537, 17415, 25578, 685, 568, 513, 6648, 538, 799, 1480, 7092, 568, 3927, 17814, 269, 667, 4428, 344, 3096, 519, 3510, 540, 13303, 20655, 540, 519, 6014, 1004, 547, 896, 1467, 713, 269, 667, 4428, 344, 779, 946, 540, 606, 24813, 2140, 267, 1927, 609, 1200, 11052, 3927, 7710, 713, 6249, 540, 1480, 7092, 563, 763, 6648, 779, 2140, 2048, 4537, 17415, 25578, 685, 5932, 513, 2631, 540, 13509, 269, 634, 2489, 25664, 725, 4294, 547, 713, 8360, 616, 602, 540, 513, 9991, 5182, 610, 5310, 519, 5898, 543, 21386, 540, 32030, 269, 1717, 621, 568, 711, 2394, 649, 3914, 519, 4890, 1543, 540, 519, 6648, 602, 649, 29311, 602, 519, 6801, 538, 2243, 616, 1346, 25578, 540, 6424, 267, 694, 1233, 593, 547, 519, 23157, 540, 7642, 593, 519, 1931, 540, 519, 13303, 12512, 269, 667, 4428, 344, 20964, 519, 14334, 543, 16897, 540, 519, 14195, 5612, 538, 519, 1101, 1899, 540, 519, 6648, 538, 519, 8360, 2048, 5475, 594, 1100, 3476, 3717, 9957, 3371, 667, 4428, 344, 5932, 606, 11212, 2178, 3239, 540, 16563, 543, 2669, 950, 519, 5639, 814, 1044, 1869, 539, 18385, 269, 634, 16897, 568, 4797, 538, 519, 3239, 2813, 676, 2048, 16269, 2736 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 273, 264, 575, 7251, 10490, 267, 291, 6661, 336, 19963, 575, 7251, 16360, 267, 290, 6661, 336, 10734, 7117, 14352, 336, 10734, 317, 273, 268, 336, 19963, 317, 273, 264, 7151, 476, 1428, 30381, 317, 273, 1532, 317, 273, 513, 284, 275, 536, 284, 272, 513, 284, 279, 536, 284, 278, 589, 266, 289, 284, 279, 2073, 589, 5174, 284, 275, 2073, 595, 266, 291, 284, 278, 2073, 595, 5937, 284, 272, 589, 284, 277, 2073, 289, 284, 273, 2073, 290, 284, 275, 2073, 291, 284, 274, 575, 7251, 10490, 267, 290, 6661, 273, 575, 7251, 16360, 267, 291, 6661, 272, 533, 14352, 273, 317, 273, 268, 272, 317, 273, 6661, 274, 575, 7251, 10490, 267, 291, 6661, 274, 575, 7251, 16360, 267, 290, 6661, 273, 7117, 14352, 274, 317, 273, 268, 273, 317, 273, 6661, 276, 1548, 798, 596, 1589, 827, 621, 888, 2252, 562, 568, 513, 6305, 267, 1287, 519, 3435, 547, 513, 317, 273, 815, 476, 272, 630, 7116, 562, 264, 616, 513, 815, 1341, 268, 272, 630, 7116, 562, 1040, 1403, 562, 815, 533, 265, 336, 1141, 533, 543, 7117, 616, 22136, 267, 1287, 519, 3435, 547, 513, 317, 273, 815, 476, 272, 630, 7116, 562, 264, 616, 513, 815, 1341, 268, 272, 267, 536, 267, 543, 524, 630, 7116, 562, 264, 1141, 692, 321, 815, 476, 272, 630, 7116, 533, 264, 543, 910, 272, 630, 7116, 7117, 2020, 322, 815, 910, 272, 630, 7116, 533, 264, 543, 476, 272, 630, 7116, 7117, 2020, 7312, 834, 935, 915, 675, 257, 5205, 689, 713, 1249, 780, 8310, 535, 1342, 1194, 609, 676, 24095, 23051, 593, 476, 1001, 279, 268, 6349, 268, 6734, 693, 476, 6349, 281, 5400, 692, 1001, 279, 268, 6349, 268, 6734, 267, 476, 6349, 281, 6078, 5231, 1948, 278, 454, 8364, 7065, 23051, 692, 257, 21579, 4840, 22261, 476, 1001, 277, 692, 5379, 278, 279, 24762, 692, 32621, 912, 20323, 17397, 676, 19499, 4815, 700, 788, 648, 2913, 715, 581, 513, 5033, 760, 3234, 334, 1287, 715, 30381, 317, 273, 1532, 317, 273, 786, 723, 1079, 3435, 513, 272, 14352, 301, 266, 272, 8358, 273, 543, 536, 272, 14352, 301, 268, 272, 8358, 273, 513, 273, 284, 286, 536, 273, 284, 286, 14697, 1030, 13396, 593, 536, 273, 4358, 689, 476, 271, 589, 266, 289, 30381, 272, 2073, 589, 5174, 30381, 273, 2073, 595, 266, 291, 284, 321, 272, 2073, 290, 5937, 284, 272, 575, 7251, 10490, 267, 290, 6661, 335, 19963, 575, 7251, 16360, 267, 291, 6661, 335, 10734, 533, 14352, 335, 19963, 317, 273, 1790, 10734, 317, 273, 264, 575, 7251, 10490, 267, 291, 6661, 336, 19963, 575, 7251, 16360, 267, 290, 6661, 336, 10734, 7117, 14352, 336, 10734, 317, 273, 268, 336, 19963, 317, 273, 264, 7151, 476, 1428, 30381, 317, 273, 1532, 317, 273, 513, 284, 275, 536, 284, 272, 513, 284, 279, 536, 284, 278, 589, 266, 289, 284, 279, 2073, 589, 5174, 284, 275, 2073, 595, 266, 291, 284, 278, 2073, 595, 5937, 284, 272, 589, 284, 277, 2073, 289, 284, 273, 2073, 290, 284, 275, 2073, 291, 284, 274, 575, 7251, 10490, 267, 290, 6661, 273, 575, 7251, 16360, 267, 291, 6661, 272, 533, 14352, 273, 317, 273, 268, 272, 317, 273, 6661, 274, 575, 7251, 10490, 267, 291, 6661, 274, 575, 7251, 16360, 267, 290, 6661, 273, 7117, 14352, 274, 317, 273, 268, 273, 317, 273, 6661, 276, 1548, 798, 596, 1589, 827, 621, 888, 4131, 781, 2490, 713, 883, 513, 3014, 630, 3286, 585, 1187, 6393, 2080, 649, 723, 5033, 760, 337, 1307, 715, 815, 533, 265, 336, 8151, 689, 476, 3445, 268, 1911, 9704, 269, 8058, 602, 585, 1142, 835, 267, 533, 815, 7117, 815, 476, 272, 630, 7116, 562, 264, 585, 513, 1808, 562, 269, 2334, 568, 267, 1397, 1142, 6305, 12270, 715, 814, 519, 1106, 737, 265, 333, 266, 272, 780, 2690, 1383, 10484, 301, 815, 476, 4649, 274, 26605, 12573, 10711, 30130, 29579, 276, 3066, 21076, 6795, 278, 3393, 276, 279, 4366, 6021, 279, 23884, 271, 5038, 6507, 274, 276, 1556, 8064, 274, 11260, 5881, 280, 4366, 280, 275, 4817, 29848, 26783, 14695, 4962, 280, 7597, 277, 279, 5038, 278, 7176, 3374, 279, 30420, 277, 3445, 272, 630, 333, 815, 476, 3445, 2020, 529, 513, 5033, 760, 31870, 269, 8058, 1142, 6305, 12270, 715, 814, 519, 1106, 476, 3445, 265, 330, 266, 272, 267, 610, 5973, 1836, 533, 815, 7117, 815, 476, 272, 630, 7116, 476, 3445, 264, 1141, 533, 336, 815, 715, 780, 2080, 616, 513, 1906, 811, 1806, 630, 339, 787, 543, 1397, 602, 1142, 6305, 12270, 715, 814, 519, 1106, 737, 265, 333, 266, 272, 17107, 301, 815, 476, 275, 4366, 5400, 280, 4962, 272, 5881, 277, 22550, 4281, 276, 6924, 278, 4343, 280, 275, 1240, 4343, 272, 14341, 280, 7761, 7176, 278, 26631, 271, 3607, 271, 4097, 29900, 275, 2767, 30116, 279, 7597, 16348, 277, 3445, 6321, 272, 6321, 279, 4817, 274, 276, 5379, 14225, 10384, 31256, 23470, 3374, 278, 267, 630, 333, 815, 476, 3607, 2020, 301, 815, 476, 12553, 16020, 12893, 280, 7597, 279, 2764, 16348, 25148, 8064, 273, 27038, 6321, 274, 29580, 3374, 280, 29045, 278, 5325, 280, 4343, 278, 866, 276, 5392, 24496, 24833, 26316, 11740, 276, 4200, 4037, 280, 28512, 29204, 28276, 13923, 5952, 278, 5379, 273, 4962, 278, 10037, 267, 630, 333, 815, 476, 5655, 2020, 301, 815, 476, 23283, 32133, 279, 4281, 3374, 280, 13647, 4366, 277, 2004, 273, 275, 2641, 277, 4097, 277, 4097, 32699, 14917, 28318, 4281, 274, 27898, 8064, 272, 280, 6078, 276, 1704, 279, 1240, 276, 6434, 6434, 274, 4391, 273, 275, 4343, 32146, 21497, 14689, 28670, 31079, 18733, 271, 2537, 1001, 267, 630, 333, 815, 476, 1911, 2020, 301, 815, 476, 21857, 280, 3953, 277, 2764, 277, 4281, 279, 1015, 6187, 272, 278, 4792, 25908, 9262, 275, 271, 4510, 4391, 273, 4366, 275, 4037, 276, 4366, 272, 12010, 15150, 277, 2641, 24241, 25240, 18733, 6812, 277, 275, 3066, 278, 5655, 16928, 276, 4037, 15094, 277, 1556, 6858, 272, 3583, 280, 26552, 5038, 272, 278, 267, 630, 333, 815, 476, 7176, 2020, 476, 1001, 279, 268, 6349, 268, 1626, 267, 476, 5400, 281, 2767, 1948, 279, 10911, 15124, 5264, 7545, 4119, 476, 1220, 277, 476, 15094, 276, 1626, 24762, 715, 823, 3014, 256, 16393, 596, 1397, 721, 875, 621, 1568, 2496, 5381, 27387, 338, 27387, 27387, 853, 6621, 17072, 1234, 18680, 7831, 5403, 19499, 4815, 700, 788, 648, 19499, 4815, 700, 788, 648, 476, 4366, 476, 1001, 278, 268, 1321, 268, 1789, 476, 6021, 281, 6246, 19499, 4815, 700, 788, 648, 19499, 4815, 700, 788, 648, 476, 8618, 476, 1001, 278, 268, 6021, 268, 2537, 476, 2641, 281, 7367, 24095, 23051, 16700, 3250, 10389, 4569, 476, 2767, 476, 1001, 278, 268, 4905, 268, 866, 476, 2641, 281, 876, 544, 1731, 564, 16700, 3250, 10389, 4569, 476, 277, 476, 1001, 274, 268, 4962, 268, 2420, 476, 4962, 281, 2918, 13382, 273, 3057, 514, 781, 631, 619, 26413, 268, 2456, 476, 273, 476, 1220, 274, 268, 6021, 268, 3066, 476, 866, 281, 4905, 692, 5472, 2053, 616, 27635, 269, 634, 942, 1631, 568, 476, 1240, 281, 1839, 780, 12507, 9484, 476, 2764, 476, 1240, 281, 1839, 281, 2412, 27635, 476, 1708, 271, 909, 476, 1240, 2395, 267, 476, 1428, 281, 3607, 267, 476, 272, 3593, 267, 4452, 25939, 281, 476, 272, 269, 9834, 267, 476, 273, 269, 1724, 267, 476, 273, 269, 1724, 0, 258, 476, 12571, 495, 19404, 493, 10533, 372, 11858, 372, 692, 18606, 2260, 4020, 513, 21070, 1843, 454, 341, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 274, 32007, 338, 815, 642, 269, 311, 1341, 834, 834, 1341, 642, 28629, 1341, 834, 834, 1341, 642, 269, 313, 282, 32526, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 20693, 510, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 476, 276, 267, 476, 271, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 272, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 280, 267, 586, 815, 476, 277, 267, 1990, 815, 476, 271, 692, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 418, 372, 505, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 476, 276, 267, 476, 271, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 272, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 272, 267, 586, 815, 476, 275, 267, 1990, 815, 476, 271, 454, 322, 815, 513, 2529, 889, 339, 847, 6357, 5148, 32526, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 18263, 502, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 275, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 736, 267, 586, 815, 476, 736, 267, 1990, 815, 476, 271, 454, 322, 815, 513, 2529, 7051, 263, 276, 5148, 32526, 2162, 17276, 511, 352, 26109, 493, 25060, 500, 12571, 495, 19404, 493, 421, 499, 371, 18021, 355, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 274, 11850, 320, 318, 6352, 815, 513, 11482, 2654, 16963, 2260, 1305, 519, 513, 781, 3259, 3160, 547, 476, 272, 269, 271, 454, 321, 815, 513, 12991, 5436, 1242, 3890, 3248, 322, 815, 536, 2529, 7051, 263, 276, 32007, 2260, 7003, 568, 3160, 547, 476, 276, 454, 6352, 815, 524, 11482, 2654, 282, 32526, 322, 28859, 480, 482, 15159, 418, 490, 485, 12571, 495, 420, 486, 485, 630, 272, 267, 476, 273, 267, 476, 274, 264, 22614, 505, 372, 12571, 490, 7511, 25913, 12571, 495, 8147, 12916, 484, 15159, 419, 493, 378, 21928, 421, 499, 371, 18021, 355, 419, 511, 487, 13161, 376, 476, 276, 12486, 692, 2162, 13127, 353, 500, 419, 358, 491, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 271, 267, 476, 272, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 271, 267, 476, 272, 267, 476, 272, 32007, 2260, 524, 814, 1871, 1535, 815, 910, 272, 267, 586, 815, 910, 272, 267, 1990, 815, 476, 272, 454, 322, 815, 513, 5861, 1484, 6357, 5148, 32526, 2162, 476, 10429, 356, 419, 358, 491, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 272, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 910, 279, 267, 476, 275, 32007, 2260, 546, 814, 1871, 910, 278, 454, 323, 815, 513, 6185, 582, 6357, 5148, 32526, 8310, 8242, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 272, 692, 258, 8943, 281, 476, 280, 5723, 306, 25002, 4083, 645, 780, 24728, 594, 12054, 6856, 630, 305, 6021, 264, 4675, 11915, 1401, 3133, 725, 267, 2904, 476, 1001, 273, 11550, 289, 5723, 6579, 14510, 1299, 5254, 288, 2316, 306, 23154, 630, 300, 3663, 520, 16361, 264, 5384, 281, 476, 274, 3108, 692, 305, 6021, 692, 16655, 29485, 281, 476, 3583, 692, 5416, 264, 630, 321, 2020, 12585, 1022, 674, 25893, 2055, 2353, 2055, 4163, 3160, 7436, 2878, 30995, 2290, 3556, 568, 6537, 689, 513, 2834, 16064, 540, 476, 7367, 6486, 269, 1548, 568, 519, 5506, 540, 3556, 1373, 2901, 2699, 610, 513, 4622, 286, 589, 9126, 3568, 476, 1321, 11084, 22921, 689, 476, 272, 547, 476, 1321, 269, 1403, 513, 3440, 568, 3144, 693, 4351, 1018, 568, 519, 5506, 540, 2348, 513, 3440, 609, 513, 1297, 799, 568, 513, 2789, 540, 2901, 476, 273, 610, 476, 274, 269, 14419, 519, 4397, 1297, 540, 3885, 547, 723, 630, 320, 264, 476, 273, 8695, 543, 476, 273, 6690, 630, 321, 264, 693, 2547, 835, 7911, 630, 322, 264, 1100, 6690, 630, 323, 264, 693, 1034, 1079, 6690, 267, 856, 540, 476, 8517, 3885, 609, 476, 275, 1453, 1142, 269, 27539, 3160, 17831, 585, 8695, 543, 6690, 269, 589, 2875, 3217, 513, 3020, 610, 7301, 6514, 9967, 540, 476, 279, 2055, 269, 1261, 7058, 525, 1142, 2626, 269, 634, 7058, 525, 616, 1500, 693, 4351, 269, 4855, 519, 10545, 1871, 540, 562, 602, 519, 5506, 540, 27378, 693, 548, 770, 562, 2953, 4267, 568, 1447, 982, 1547, 6875, 476, 1789, 1793, 2354, 540, 1957, 543, 6003, 476, 276, 1142, 910, 275, 543, 476, 275, 267, 689, 1142, 910, 274, 543, 476, 274, 267, 1614, 1142, 910, 273, 543, 476, 273, 543, 1142, 910, 272, 267, 476, 271, 543, 476, 272, 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 ]
[ 0, 769, 2221, 781, 10562, 1158, 267, 519, 1909, 540, 1762, 1004, 607, 10256, 540, 1689, 814, 2760, 1044, 811, 2629, 269, 2060, 519, 13778, 4473, 538, 519, 1297, 540, 1762, 2043, 5001, 267, 972, 568, 513, 10296, 991, 547, 7668, 873, 609, 519, 2556, 1983, 543, 1702, 547, 6330, 606, 5051, 1950, 543, 6422, 5251, 269, 901, 1576, 1770, 12538, 883, 519, 1523, 540, 834, 312, 1926, 22895, 11208, 543, 4065, 21816, 324, 1359, 2437, 3246, 596, 609, 513, 4514, 1620, 540, 875, 29013, 3347, 543, 24749, 2833, 666, 948, 3337, 519, 2729, 540, 1762, 4079, 543, 3565, 547, 741, 11455, 1646, 269, 3414, 713, 1576, 267, 596, 786, 2263, 1585, 18125, 540, 6107, 30023, 543, 2069, 24749, 267, 1519, 922, 4644, 267, 2640, 267, 2591, 267, 543, 1655, 2853, 269, 1635, 6313, 1483, 8996, 1806, 267, 5969, 12967, 1382, 267, 543, 4207, 3466, 267, 596, 786, 581, 9280, 609, 519, 2645, 543, 4030, 2877, 547, 1118, 513, 6209, 1764, 593, 519, 2729, 540, 1762, 1004, 538, 707, 2146, 543, 3564, 780, 14294, 881, 766, 540, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 32458, 692, 2026, 519, 2518, 6107, 2551, 5170, 547, 1332, 693, 606, 27314, 2557, 267, 621, 3587, 1898, 547, 2232, 519, 2189, 2115, 543, 17050, 540, 713, 15295, 1895, 269, 2755, 1082, 1762, 4079, 4865, 10373, 1761, 267, 789, 1419, 3668, 5583, 267, 1489, 267, 543, 3255, 2838, 547, 12260, 741, 3020, 7207, 269, 901, 568, 1141, 30023, 543, 2069, 24749, 2097, 883, 1404, 267, 5356, 513, 3532, 1797, 540, 5807, 2123, 2208, 267, 5578, 1646, 267, 543, 1514, 5539, 1851, 1762, 2043, 780, 300, 550, 832, 4196, 607, 11967, 9666, 619, 267, 1476, 573, 1218, 267, 543, 1909, 3631, 945, 1683, 6497, 4315, 609, 3929, 267, 1514, 267, 543, 3318, 1489, 269, 1358, 2709, 3407, 4030, 267, 18836, 7326, 267, 543, 7520, 1565, 267, 7551, 7175, 1762, 4079, 547, 1628, 6043, 267, 11349, 1582, 18221, 267, 543, 3986, 741, 3375, 6194, 5759, 269, 5015, 267, 23003, 957, 607, 27857, 585, 2318, 1689, 267, 11121, 1762, 1004, 547, 11441, 585, 17284, 267, 7753, 9465, 267, 543, 11654, 741, 9909, 780, 19733, 13538, 267, 29285, 267, 4142, 6510, 741, 942, 267, 1648, 267, 543, 6791, 547, 5885, 3872, 5238, 267, 3292, 267, 543, 7341, 6322, 693, 14027, 519, 4081, 9740, 543, 1272, 1983, 540, 1762, 6267, 269, 1452, 6131, 2043, 12840, 5702, 609, 7855, 267, 16984, 267, 3237, 267, 543, 2950, 547, 1711, 23429, 267, 8537, 267, 543, 2502, 1565, 5054, 602, 8597, 547, 3309, 1565, 6163, 543, 2115, 269, 769, 3257, 865, 267, 789, 948, 8115, 10616, 538, 4199, 14305, 267, 14292, 2298, 267, 543, 2875, 6278, 267, 4180, 602, 1169, 1762, 1268, 814, 519, 4316, 547, 8011, 27268, 267, 13998, 267, 543, 14156, 780, 19119, 540, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 24801, 19030, 2162, 1280, 22895, 4315, 692, 265, 24046, 1582, 12635, 267, 6015, 267, 543, 8404, 454, 265, 20865, 2792, 267, 1966, 9010, 267, 543, 5718, 1983, 454, 265, 16842, 4656, 540, 4876, 3681, 543, 11444, 454, 265, 20523, 2631, 540, 3483, 267, 4287, 267, 543, 10362, 454, 265, 16237, 6533, 539, 6043, 267, 13916, 267, 543, 12003, 6127, 454, 265, 30771, 539, 1514, 5121, 543, 4296, 692, 2162, 1280, 22895, 832, 692, 265, 19662, 585, 2123, 2208, 267, 1565, 267, 543, 1582, 26190, 454, 265, 24046, 14375, 267, 18006, 267, 543, 5718, 1983, 454, 265, 22365, 1721, 1027, 7029, 547, 1514, 5539, 543, 18523, 6278, 454, 265, 1546, 4177, 7071, 585, 4763, 267, 9698, 267, 543, 10014, 454, 265, 23281, 540, 20106, 267, 22920, 267, 543, 9547, 454, 265, 19372, 618, 540, 1007, 17052, 543, 3318, 3347, 692, 2162, 1280, 4065, 21816, 32580, 692, 265, 2549, 680, 1881, 6612, 585, 3450, 267, 1565, 267, 543, 1818, 513, 3017, 454, 265, 22452, 547, 5499, 15338, 690, 625, 267, 4066, 267, 543, 4879, 2409, 454, 265, 12333, 1646, 998, 11925, 267, 5721, 902, 267, 543, 13033, 2621, 454, 265, 23779, 543, 12587, 585, 14222, 7418, 543, 10781, 454, 265, 7457, 547, 2200, 267, 7616, 267, 543, 11450, 3255, 454, 265, 20985, 1966, 9010, 543, 1071, 268, 21551, 540, 3435, 692, 29936, 543, 7454, 13756, 538, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 5785, 14343, 13430, 8601, 519, 16221, 2640, 2404, 609, 6107, 30023, 543, 2069, 24749, 267, 1896, 2591, 6414, 267, 26089, 6297, 7156, 543, 7580, 4058, 269, 2368, 1455, 23665, 1331, 1384, 265, 17290, 8244, 540, 5078, 23003, 543, 13538, 454, 265, 6184, 11211, 2866, 267, 1489, 267, 543, 6284, 585, 23003, 543, 13538, 454, 265, 2598, 1706, 885, 538, 1569, 547, 30023, 543, 15321, 3255, 2066, 4008, 267, 5198, 267, 14940, 267, 4638, 10066, 267, 9659, 4567, 267, 543, 14227, 4282, 454, 265, 2549, 15927, 6681, 5107, 267, 6788, 267, 543, 6302, 1063, 23003, 267, 6497, 4315, 267, 543, 13538, 454, 265, 32746, 7757, 11558, 267, 5698, 267, 543, 2792, 1851, 8639, 454, 265, 769, 324, 8997, 5464, 267, 6268, 267, 543, 6454, 540, 30023, 543, 15321, 3292, 692, 2414, 11574, 891, 2591, 543, 11126, 4093, 585, 782, 6105, 3238, 267, 20170, 547, 3964, 1655, 2853, 568, 14063, 269, 6206, 2994, 1331, 1384, 265, 4980, 22899, 513, 3309, 7535, 540, 23003, 543, 13538, 14436, 540, 519, 2950, 6039, 454, 265, 21278, 11826, 2866, 267, 5571, 15569, 267, 543, 2834, 5955, 547, 2327, 1164, 7779, 4205, 543, 2833, 454, 265, 674, 29183, 2312, 267, 5812, 267, 543, 12001, 2792, 9055, 1851, 782, 8639, 454, 265, 22034, 2963, 2861, 4485, 267, 10850, 267, 543, 2645, 547, 3391, 1982, 1374, 267, 6388, 267, 543, 4879, 454, 265, 30855, 2029, 267, 1239, 12642, 267, 543, 3059, 5867, 547, 20928, 3157, 267, 3950, 3356, 267, 543, 2268, 1764, 454, 265, 22716, 1944, 6024, 1565, 267, 9542, 267, 543, 5647, 547, 2611, 17841, 547, 6932, 3466, 267, 2115, 267, 543, 14422, 692, 14483, 12367, 543, 7464, 21509, 6201, 538, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 5785, 24801, 13430, 10907, 1484, 519, 8608, 267, 3875, 3906, 267, 5121, 267, 543, 5755, 1431, 616, 8362, 7722, 538, 5009, 6107, 30023, 543, 2069, 24749, 607, 4105, 3334, 540, 11455, 6107, 1646, 269, 7324, 519, 8037, 3466, 5935, 713, 2361, 616, 1384, 2162, 14044, 22895, 1681, 543, 21816, 324, 1359, 692, 4415, 7760, 538, 26313, 543, 2228, 5698, 2645, 267, 5691, 29013, 543, 24749, 723, 6591, 20086, 607, 14323, 8925, 547, 2757, 3068, 3562, 19904, 4497, 906, 269, 11588, 1331, 2799, 8112, 267, 13418, 267, 543, 10333, 267, 3226, 585, 1346, 2713, 538, 6552, 2127, 610, 6849, 10688, 10148, 269, 1717, 267, 10188, 2152, 1644, 547, 3972, 267, 22637, 267, 543, 12477, 3788, 513, 1883, 6161, 780, 2971, 7151, 281, 1775, 27745, 6826, 692, 328, 27745, 6826, 568, 513, 21722, 3919, 602, 13462, 9207, 5703, 14038, 609, 12391, 2937, 23003, 3842, 513, 5150, 267, 16419, 2228, 3760, 269, 4595, 922, 27299, 538, 476, 1220, 271, 267, 1775, 27745, 6826, 814, 19658, 5215, 540, 3811, 21927, 268, 618, 2465, 6292, 902, 267, 4611, 538, 4824, 1153, 20343, 267, 2362, 22692, 3928, 267, 543, 8476, 2022, 16149, 776, 23982, 1851, 10283, 6107, 780, 2162, 9061, 4149, 10725, 16890, 4721, 543, 21664, 692, 28403, 1944, 519, 1871, 540, 7104, 2962, 267, 1857, 267, 4357, 267, 543, 18758, 9988, 616, 5051, 11836, 4229, 547, 24244, 519, 3914, 267, 9165, 267, 543, 7145, 540, 6107, 30023, 543, 2069, 24749, 3646, 269, 6270, 21769, 6536, 3838, 1565, 267, 4199, 4254, 16478, 267, 543, 4390, 2679, 267, 6038, 7700, 547, 11528, 1689, 543, 4264, 1646, 780, 2971, 7151, 281, 3733, 19656, 781, 918, 2465, 704, 19137, 692, 17442, 684, 3481, 538, 476, 1001, 275, 676, 5518, 4446, 871, 15525, 267, 3733, 19656, 781, 918, 2465, 704, 19137, 6770, 1927, 2229, 8041, 267, 14078, 267, 13210, 267, 543, 2199, 2950, 547, 2232, 10770, 4316, 10616, 5185, 676, 8695, 543, 1762, 2367, 540, 2681, 269, 634, 11036, 6212, 593, 3670, 4295, 19325, 910, 10024, 1153, 4712, 547, 1451, 267, 2542, 693, 3446, 1377, 676, 3791, 3446, 267, 4271, 908, 689, 1164, 1153, 4712, 585, 2852, 543, 4876, 267, 11264, 2022, 16149, 776, 2069, 610, 2866, 267, 6707, 10024, 519, 13781, 267, 543, 4227, 5208, 543, 3246, 2034, 8458, 269, 1677, 4266, 267, 3733, 19656, 781, 918, 2465, 704, 19137, 814, 7722, 6634, 540, 1762, 2043, 267, 6462, 7366, 540, 2950, 267, 543, 10776, 7458, 9118, 12352, 543, 21769, 6322, 693, 5355, 519, 12918, 585, 8695, 543, 1762, 2367, 540, 2681, 780, 1103, 3932, 267, 6107, 30023, 543, 2069, 24749, 2099, 14984, 6472, 585, 14637, 519, 15421, 267, 18653, 267, 543, 30372, 540, 938, 24567, 6107, 2551, 269, 1306, 3743, 4961, 543, 17519, 1480, 7919, 267, 621, 1531, 334, 7174, 721, 547, 1902, 538, 891, 2565, 18129, 267, 30015, 1762, 4079, 609, 519, 1983, 267, 1702, 267, 543, 8741, 1431, 2877, 547, 8853, 538, 606, 2479, 21608, 1158, 269, 3414, 13447, 539, 4674, 267, 26772, 7029, 267, 543, 32344, 8207, 267, 649, 666, 15217, 1711, 17321, 20304, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26670, 3496, 19793, 22777, 31802, 281, 589, 4222, 1759, 1935, 585, 15272, 4886, 454, 21292, 281, 312, 1926, 267, 19793, 22777, 31802, 267, 5020, 31853, 4065, 454, 763, 1297, 540, 1762, 1004, 11451, 568, 827, 547, 1831, 519, 4102, 538, 1686, 3448, 547, 519, 2937, 2551, 269, 3127, 568, 4397, 547, 723, 476, 4097, 269, 3451, 260, 2671, 540, 6107, 538, 2698, 2551, 676, 476, 1708, 271, 269, 1284, 616, 15691, 602, 519, 1297, 540, 6107, 786, 1294, 513, 30382, 540, 5722, 2600, 267, 602, 568, 547, 476, 272, 269, 274, 5479, 676, 519, 1032, 476, 10711, 271, 630, 7419, 7797, 267, 476, 1001, 276, 1040, 4340, 547, 519, 3561, 3812, 676, 519, 12080, 540, 10803, 543, 19510, 23840, 267, 6554, 540, 3127, 267, 538, 476, 1001, 274, 267, 834, 12671, 476, 18597, 2929, 6107, 267, 610, 476, 736, 260, 540, 782, 6107, 538, 519, 3384, 1158, 267, 616, 834, 573, 548, 257, 1107, 711, 538, 2069, 267, 7694, 610, 2866, 1701, 6736, 519, 11095, 7341, 543, 10333, 547, 519, 2200, 1034, 540, 891, 1762, 4079, 4043, 547, 6749, 856, 689, 2069, 269, 1403, 789, 616, 1134, 1790, 10517, 1563, 267, 519, 10708, 543, 1762, 4079, 538, 3384, 6082, 666, 4324, 689, 519, 2518, 4229, 602, 616, 13321, 741, 10600, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 312, 1926, 22895, 11208, 543, 4065, 21816, 324, 1359, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 21816, 324, 1359, 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, 18984, 1516, 570, 15711, 600, 529, 281, 27759, 2659, 7731, 543, 7991, 692, 20776, 341, 1516, 570, 15711, 600, 529, 281, 27759, 2659, 7731, 543, 7991, 692, 7072, 912, 288, 23329, 568, 513, 3126, 540, 11999, 5836, 6329, 3361, 676, 16767, 267, 14015, 26949, 1938, 267, 610, 15027, 26706, 269, 1452, 6821, 540, 1216, 666, 2014, 7839, 9552, 543, 2530, 540, 1272, 950, 789, 3914, 13272, 269, 1677, 2333, 707, 8458, 540, 17005, 513, 23329, 543, 10893, 3441, 267, 7041, 693, 1753, 267, 960, 267, 543, 1153, 568, 2629, 269, 901, 3391, 786, 3802, 596, 998, 1898, 3268, 547, 5965, 3054, 267, 707, 1920, 267, 543, 707, 2146, 585, 513, 1761, 23329, 2680, 780, 2162, 5153, 476, 272, 281, 13760, 570, 15711, 9564, 24093, 543, 2782, 940, 20050, 692, 9596, 952, 707, 1858, 568, 12155, 547, 20016, 600, 529, 676, 10992, 2199, 2200, 971, 607, 2229, 7270, 267, 17027, 12220, 267, 543, 6595, 2359, 13646, 269, 25800, 3054, 609, 9963, 4191, 899, 4028, 4262, 1377, 14380, 267, 8966, 21089, 4947, 689, 519, 5836, 267, 610, 2178, 24373, 17915, 269, 11310, 568, 1379, 282, 1373, 3222, 540, 891, 4220, 543, 10832, 786, 948, 2327, 12905, 2962, 1282, 513, 6433, 780, 2162, 5153, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5525, 692, 2691, 4058, 16917, 8344, 2090, 267, 8939, 3617, 6272, 5849, 4570, 8753, 269, 9050, 1292, 6688, 2291, 281, 10855, 267, 10763, 267, 8097, 267, 543, 10316, 269, 29149, 4485, 630, 324, 3052, 1421, 3444, 22891, 12220, 264, 2709, 3355, 1350, 31663, 525, 883, 2068, 3270, 1510, 22942, 532, 1757, 566, 269, 30551, 2409, 630, 13826, 20820, 267, 20165, 1070, 2705, 267, 7520, 16198, 1063, 6534, 543, 1875, 7721, 12723, 2516, 547, 18505, 12205, 269, 21885, 1305, 5725, 630, 12690, 1242, 6417, 8062, 264, 5512, 1463, 12879, 540, 4598, 4632, 267, 3246, 7347, 2963, 585, 2014, 13716, 3347, 269, 28628, 6272, 11100, 2934, 540, 2789, 2010, 267, 5356, 8112, 4470, 593, 13865, 10148, 543, 6859, 780, 13706, 519, 5571, 7521, 4478, 552, 24294, 12076, 3106, 269, 589, 17053, 20165, 1353, 676, 645, 1002, 3279, 1299, 3794, 656, 345, 630, 1001, 280, 264, 1336, 2799, 12918, 540, 26961, 658, 1102, 541, 794, 1851, 3232, 552, 24294, 12076, 3755, 3379, 547, 2760, 268, 22852, 267, 31552, 1761, 2800, 269, 1717, 267, 971, 22423, 4681, 3112, 17046, 569, 3715, 1757, 1275, 1813, 547, 1476, 15929, 12886, 7915, 538, 1875, 7721, 704, 14939, 1382, 269, 4935, 267, 11826, 7634, 19329, 3309, 1353, 23857, 3358, 547, 2232, 1808, 2055, 780, 4089, 476, 275, 281, 14362, 540, 5398, 2657, 692, 14276, 1072, 6212, 593, 5009, 543, 7863, 7104, 8171, 3842, 23499, 21769, 21214, 2069, 267, 3609, 6194, 267, 4791, 1416, 267, 543, 1382, 269, 11759, 28975, 31721, 1472, 6604, 267, 9698, 267, 1514, 5126, 267, 543, 2963, 26455, 3375, 6194, 269, 10644, 21269, 1614, 2157, 281, 2215, 867, 658, 630, 11232, 1154, 3597, 3123, 1070, 3119, 630, 16442, 1359, 26813, 1070, 543, 6281, 270, 614, 339, 10706, 630, 2466, 580, 908, 4539, 6393, 13420, 640, 1193, 1161, 547, 9004, 2057, 762, 3604, 538, 1072, 4567, 610, 1569, 547, 2533, 1759, 593, 14227, 2990, 267, 5198, 267, 4008, 267, 2085, 267, 610, 824, 14404, 13294, 269, 4317, 5126, 11498, 3564, 3782, 11865, 267, 14957, 6626, 6848, 15024, 5466, 7293, 31716, 30740, 1072, 13103, 269, 15845, 2861, 2259, 14122, 24758, 3621, 1702, 883, 29829, 4808, 5935, 7459, 543, 4507, 780, 18600, 8996, 6286, 32736, 267, 3226, 9624, 24567, 2591, 899, 2916, 1689, 543, 23776, 21568, 269, 1306, 12006, 676, 519, 1977, 5398, 2657, 5948, 630, 4338, 11190, 1070, 3665, 4365, 2621, 28978, 676, 2518, 8337, 25409, 1860, 7925, 2950, 267, 25967, 1681, 519, 23473, 540, 10128, 2916, 6043, 883, 1857, 1072, 989, 31789, 630, 4338, 11190, 267, 476, 1708, 271, 1040, 19452, 267, 32117, 23776, 5829, 28896, 3747, 13447, 539, 6114, 5473, 13178, 267, 2800, 5786, 267, 8213, 2126, 267, 543, 1928, 2359, 15024, 780, 6962, 692, 8139, 27496, 543, 1857, 1072, 3741, 28382, 14971, 13500, 609, 4105, 1983, 10489, 2056, 5127, 2515, 1416, 269, 1635, 9301, 3677, 11528, 4229, 6117, 1072, 24551, 267, 596, 666, 22299, 11455, 3435, 5807, 4824, 4093, 543, 4389, 13103, 269, 22737, 713, 5133, 607, 596, 6330, 707, 3460, 2509, 4742, 513, 17519, 267, 5483, 19995, 8149, 547, 7393, 18497, 10304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 3206, 540, 2469, 883, 4915, 286, 6969, 14045, 547, 1246, 513, 840, 2173, 539, 1576, 538, 1164, 1153, 267, 621, 568, 3810, 5227, 602, 596, 2638, 856, 513, 1906, 2564, 22631, 4721, 563, 8002, 1302, 267, 519, 5354, 540, 1164, 1153, 1053, 945, 1616, 547, 1831, 7189, 1439, 909, 4657, 741, 2101, 538, 2852, 1317, 519, 840, 2173, 539, 5049, 616, 1932, 2352, 563, 3719, 596, 2907, 917, 875, 4101, 2564, 1153, 568, 269, 898, 786, 1942, 7366, 540, 9489, 543, 1491, 1896, 1296, 269, 1677, 324, 1673, 6235, 538, 519, 1216, 1354, 2469, 782, 519, 1259, 538, 786, 4061, 581, 513, 17512, 881, 2856, 563, 1607, 1433, 786, 3382, 3388, 972, 568, 547, 917, 827, 513, 2564, 22631, 1222, 267, 519, 3255, 2139, 547, 596, 607, 513, 1164, 1153, 2875, 267, 543, 513, 1592, 540, 2564, 22631, 4721, 563, 288, 2564, 22631, 1222, 9247, 5713, 607, 513, 1445, 1448, 950, 513, 2875, 540, 4915, 3587, 513, 8026, 4387, 269, 901, 1995, 540, 3318, 1436, 543, 7127, 883, 1463, 3461, 5539, 267, 799, 814, 922, 5072, 538, 6413, 29095, 4721, 267, 814, 3144, 513, 688, 874, 1794, 731, 8905, 563, 7712, 519, 4098, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 3671, 655, 5735, 543, 5398, 2657, 257, 607, 851, 540, 834, 25503, 1315, 10749, 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, 279, 281, 4934, 18721, 13474, 1107, 21207, 532, 28673, 538, 13474, 8535, 692, 5970, 596, 2479, 5433, 899, 8840, 519, 3652, 286, 2107, 6148, 596, 4312, 20402, 1946, 1978, 4808, 2291, 538, 519, 1101, 1747, 269, 1403, 865, 267, 1287, 596, 1522, 723, 1945, 538, 1455, 609, 5159, 945, 2813, 7979, 1177, 2197, 2575, 256, 901, 2189, 2511, 540, 2197, 7153, 538, 519, 3735, 476, 3422, 271, 338, 543, 2038, 1412, 3583, 338, 950, 930, 2206, 619, 543, 5152, 32392, 4956, 789, 4941, 547, 7903, 1394, 1996, 2757, 14908, 538, 1312, 3280, 543, 6197, 269, 1452, 30280, 8179, 3152, 3860, 5191, 543, 13597, 1765, 16838, 952, 621, 5921, 2469, 1996, 519, 8155, 540, 27850, 6807, 781, 8535, 18007, 267, 1141, 1082, 2442, 2197, 5638, 941, 3812, 693, 519, 942, 780, 3383, 267, 1018, 4010, 568, 7979, 1177, 2197, 286, 1677, 2322, 621, 3274, 267, 713, 24848, 516, 10905, 4224, 1412, 333, 262, 5066, 1648, 609, 6151, 267, 10002, 565, 1639, 4938, 1023, 543, 18405, 602, 1419, 10994, 9184, 5622, 5396, 269, 1809, 5310, 1256, 811, 11932, 267, 7979, 1177, 2197, 4564, 513, 6521, 2509, 1367, 1143, 1369, 519, 6626, 2796, 540, 2197, 2575, 1686, 269, 2913, 781, 4685, 883, 875, 713, 782, 3357, 547, 581, 2439, 763, 17510, 540, 4934, 18721, 13474, 454, 28598, 2414, 1174, 7979, 1177, 2197, 4628, 267, 649, 991, 547, 979, 1394, 547, 922, 5072, 269, 4438, 519, 476, 3422, 271, 338, 267, 972, 729, 3395, 27025, 8351, 1851, 1896, 7986, 2197, 12372, 3823, 519, 521, 5585, 2504, 2418, 543, 4542, 545, 5152, 8586, 4947, 856, 540, 27850, 6807, 801, 3930, 269, 1358, 1279, 539, 585, 513, 2132, 547, 519, 9135, 781, 3312, 6891, 281, 2241, 9423, 4904, 609, 7553, 267, 19969, 267, 543, 27497, 780, 3080, 11358, 4090, 3357, 950, 10916, 11653, 3794, 523, 10965, 617, 11276, 11827, 513, 1007, 1826, 540, 23673, 4216, 1572, 519, 17540, 3960, 6874, 821, 269, 4024, 773, 20307, 267, 835, 540, 519, 2104, 23806, 540, 7979, 1177, 2197, 267, 1031, 713, 1198, 593, 1010, 5734, 2582, 834, 15916, 654, 8712, 2437, 5950, 538, 476, 3422, 272, 269, 1717, 267, 621, 7012, 1405, 2394, 2663, 602, 5159, 1131, 5963, 9784, 519, 1761, 540, 16471, 13193, 326, 615, 8728, 609, 2757, 2197, 2609, 780, 10521, 1883, 5515, 538, 5935, 519, 7979, 1177, 3350, 941, 10158, 23127, 20388, 902, 543, 8751, 335, 718, 3794, 6471, 269, 5637, 2367, 1185, 6913, 1967, 607, 21088, 6411, 855, 1336, 2933, 21616, 676, 519, 10148, 13684, 2390, 873, 676, 2594, 10297, 543, 12696, 269, 769, 3210, 267, 789, 4646, 513, 10690, 7104, 1634, 607, 834, 1492, 4934, 331, 9155, 2437, 799, 3769, 824, 899, 332, 14800, 2043, 971, 607, 25014, 328, 2051, 614, 630, 310, 599, 23127, 781, 7385, 1070, 25381, 15608, 1744, 11232, 267, 6424, 30129, 3213, 324, 267, 918, 5142, 26701, 4752, 3205, 267, 543, 4024, 773, 20307, 780, 1607, 1895, 3459, 16089, 11549, 4548, 10446, 267, 1863, 689, 519, 14461, 1852, 540, 13416, 27850, 6807, 269, 4256, 3646, 19411, 730, 538, 519, 14262, 28094, 17581, 834, 310, 5896, 256, 634, 4934, 331, 9155, 2437, 5950, 538, 476, 3192, 277, 269, 3171, 520, 1005, 16125, 899, 834, 14187, 9839, 539, 19716, 257, 630, 320, 5918, 564, 1063, 10158, 23127, 543, 4024, 773, 264, 543, 834, 296, 6415, 18391, 28644, 547, 898, 257, 676, 8751, 335, 718, 3794, 6471, 267, 519, 2594, 2968, 513, 7372, 5010, 1967, 267, 8757, 1297, 835, 593, 9291, 4580, 781, 2197, 12125, 543, 9513, 936, 513, 2929, 12215, 780, 7659, 15689, 540, 4934, 18721, 13474, 454, 10900, 19567, 3086, 602, 649, 917, 875, 7979, 1177, 2197, 3893, 3323, 1577, 781, 4983, 930, 540, 922, 10747, 4162, 1384, 2162, 21984, 14675, 692, 19284, 519, 25509, 24299, 32338, 908, 689, 27850, 6807, 801, 3930, 1282, 713, 5736, 267, 7979, 1177, 2197, 17947, 513, 811, 27726, 12716, 269, 5940, 9285, 1368, 527, 1513, 267, 4174, 5529, 16365, 12417, 267, 543, 3618, 344, 13047, 5838, 625, 6353, 891, 13475, 269, 1635, 7947, 532, 7050, 6106, 540, 31627, 543, 17953, 344, 2504, 2553, 267, 7979, 1177, 5159, 6322, 547, 1711, 513, 521, 4577, 5251, 602, 8272, 549, 1042, 741, 1378, 1100, 1922, 337, 1571, 8456, 780, 2162, 21741, 5622, 11762, 692, 5194, 10689, 5658, 540, 7979, 1177, 2197, 568, 21365, 11786, 4798, 2212, 6823, 269, 3245, 3075, 946, 9497, 32292, 11155, 1299, 700, 1030, 1399, 257, 676, 16011, 525, 11709, 2098, 663, 339, 264, 547, 23948, 566, 9497, 763, 9835, 12875, 257, 676, 6723, 13643, 264, 543, 29281, 1193, 1057, 9497, 17951, 601, 674, 2391, 18320, 19171, 547, 519, 16140, 257, 676, 4024, 773, 20307, 1070, 1906, 5396, 941, 1055, 29438, 1080, 269, 3414, 6596, 11430, 878, 1143, 267, 7979, 9155, 13934, 6848, 6788, 1247, 3246, 19700, 609, 11541, 6386, 1305, 547, 6952, 344, 23964, 780, 2162, 10572, 1143, 692, 5415, 982, 4376, 3116, 267, 7979, 1177, 2197, 22993, 513, 15141, 1190, 6891, 10704, 1472, 2123, 13190, 269, 20551, 15189, 547, 14883, 547, 2872, 4441, 610, 15666, 14553, 547, 3964, 7574, 5389, 269, 5502, 267, 789, 20077, 856, 741, 10092, 267, 13197, 3860, 23118, 543, 1219, 3539, 11008, 1436, 269, 1306, 513, 1267, 267, 7979, 1177, 2197, 3788, 606, 11972, 3090, 540, 1875, 935, 845, 640, 1369, 519, 3677, 7706, 540, 2197, 2575, 780, 18698, 4329, 454, 2411, 692, 3528, 1631, 267, 596, 1058, 723, 513, 4396, 1620, 540, 1018, 7979, 1177, 2197, 568, 543, 875, 621, 8329, 547, 519, 3638, 13795, 540, 1977, 2575, 269, 1924, 267, 1141, 798, 649, 979, 689, 1934, 286, 1703, 781, 7899, 811, 547, 3605, 827, 713, 4241, 24848, 516, 2439, 2690, 26784, 267, 18167, 4514, 883, 519, 2729, 543, 11678, 540, 9565, 7979, 9155, 899, 4024, 773, 20307, 267, 10158, 23127, 20388, 902, 267, 543, 8585, 548, 670, 12000, 731, 666, 2709, 3407, 4030, 883, 741, 7499, 18144, 543, 7506, 269, 3958, 267, 6313, 4207, 5159, 8876, 593, 519, 7979, 1177, 9371, 2221, 786, 948, 9414, 519, 9434, 1764, 540, 713, 12316, 3350, 780, 1103, 14656, 267, 3314, 602, 3695, 1114, 11964, 543, 6163, 2636, 721, 547, 5660, 519, 5318, 4763, 7915, 538, 2575, 269, 3807, 607, 7979, 1177, 2197, 6719, 513, 12050, 22576, 689, 6671, 7326, 5756, 3516, 267, 865, 1932, 1281, 2413, 17634, 3136, 547, 3337, 543, 28196, 710, 519, 6302, 540, 1585, 11964, 269, 5901, 606, 1930, 2247, 267, 3251, 8049, 267, 543, 2141, 10027, 880, 519, 1379, 540, 2575, 547, 3142, 1004, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23325, 24124, 267, 12968, 5652, 6874, 517, 330, 267, 543, 595, 4592, 20108, 16319, 454, 5804, 519, 10022, 1977, 8535, 6660, 16893, 454, 288, 22256, 26797, 856, 513, 561, 2158, 727, 5152, 563, 288, 13176, 626, 726, 15085, 856, 513, 1000, 836, 344, 1291, 563, 288, 535, 1497, 6345, 6770, 856, 513, 6653, 23260, 563, 4322, 616, 519, 4992, 540, 2197, 563, 15575, 787, 2575, 9782, 856, 540, 519, 12563, 8964, 602, 11082, 4547, 547, 519, 2136, 2276, 269, 634, 2575, 3262, 689, 519, 1977, 3162, 547, 782, 936, 519, 2197, 267, 13830, 519, 13922, 543, 519, 9620, 540, 4948, 1004, 269, 769, 519, 8938, 23867, 2540, 267, 11655, 2972, 782, 12204, 540, 3552, 267, 909, 18566, 267, 543, 3001, 6163, 540, 2197, 2575, 563, 8340, 856, 1018, 6273, 519, 2197, 779, 1034, 12300, 8964, 269, 13028, 519, 2984, 540, 7979, 1177, 12372 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8594, 543, 12236, 519, 10639, 540, 519, 4279, 10794, 563, 4407, 972, 941, 7899, 540, 25133, 25267, 543, 21372, 737, 7315, 919, 547, 3442, 689, 538, 519, 25610, 267, 1919, 3357, 547, 513, 2212, 950, 519, 28592, 8036, 741, 24738, 593, 3127, 269, 4634, 1354, 2921, 936, 519, 556, 1231, 689, 519, 5101, 3127, 7577, 267, 519, 2826, 29913, 1185, 2097, 547, 29311, 875, 4105, 713, 17028, 7458, 15896, 729, 547, 741, 2804, 4690, 269, 634, 4090, 789, 3893, 2842, 540, 6576, 779, 8247, 267, 621, 729, 2312, 602, 741, 12733, 1185, 547, 581, 29846, 563, 305, 27927, 25760, 779, 29570, 519, 4279, 10794, 568, 513, 1134, 25454, 5758, 540, 519, 2577, 5209, 540, 519, 1079, 23766, 543, 519, 7766, 29854, 540, 741, 3527, 563, 10214, 607, 6576, 1572, 1055, 922, 1101, 14699, 538, 476, 5197, 272, 267, 519, 3703, 3323, 2921, 6006, 540, 741, 8513, 896, 519, 4279, 26344, 2210, 3740, 11752, 269, 3414, 32462, 3646, 1247, 11837, 936, 476, 272, 267, 7785, 5195, 2066, 519, 3259, 540, 3127, 267, 789, 6368, 8452, 693, 519, 7187, 10665, 267, 1141, 789, 1631, 588, 1563, 693, 519, 11397, 1164, 10239, 267, 11235, 547, 1451, 1018, 2482, 3564, 873, 563, 4407, 5619, 532, 4095, 8513, 4843, 922, 1378, 2591, 585, 519, 3703, 267, 972, 729, 4313, 538, 519, 1249, 602, 713, 729, 1869, 741, 1378, 6389, 269, 31072, 540, 741, 10665, 1498, 267, 621, 729, 606, 3635, 17078, 523, 609, 4220, 602, 3323, 609, 11972, 519, 32716, 540, 2470, 538, 964, 25544, 1768, 23230, 1141, 1152, 519, 3514, 11687, 15068, 563, 4263, 519, 2295, 540, 519, 2239, 616, 703, 516, 3671, 3703, 7980, 267, 945, 8179, 7045, 543, 17947, 519, 24604, 602, 3357, 609, 621, 267, 607, 3379, 547, 9361, 2653, 538, 3106, 8015, 741, 10136, 563, 2026, 2038, 607, 476, 8687, 272, 267, 5261, 631, 3233, 8154, 1305, 856, 998, 7164, 8513, 593, 519, 840, 3667, 540, 9140, 519, 535, 12574, 9640, 540, 645, 758, 327, 4673, 547, 24772, 519, 3703, 29816, 269, 3683, 942, 267, 1866, 4553, 538, 1010, 3723, 25074, 267, 4466, 741, 1378, 4128, 547, 1491, 593, 971, 829, 559, 748, 15322, 269, 1879, 519, 31587, 6739, 3463, 729, 6956, 547, 12446, 936, 1633, 689, 519, 5087, 29891, 267, 621, 2968, 16122, 585, 519, 3703, 547, 13021, 1022, 4485, 689, 602, 4287, 563, 11742, 543, 1586, 267, 24816, 941, 1500, 543, 7745, 267, 607, 519, 3703, 6743, 547, 5150, 741, 2990, 8015, 25267, 538, 15787, 543, 30111, 267, 799, 8593, 2059, 519, 8905, 602, 519, 28592, 941, 2693, 547, 1491, 269, 1809, 950, 789, 6836, 547, 1174, 519, 2482, 540, 519, 2244, 3564, 891, 11182, 267, 789, 1336, 519, 7851, 540, 6239, 5607, 543, 17230, 547, 581, 13385, 267, 4611, 538, 606, 5736, 540, 3408, 602, 729, 1631, 4105, 547, 741, 6668, 563, 2691, 3703, 10492, 1305, 856, 593, 13178, 13485, 267, 789, 1483, 2213, 602, 4509, 3382, 729, 3833, 513, 4305, 269, 18279, 7338, 6723, 8053, 326, 9593, 773, 1185, 4767, 519, 8897, 609, 799, 17137, 689, 3127, 1223, 5577, 2066, 10665, 543, 4166, 8036, 513, 1906, 25165, 538, 8905, 5619, 267, 6998, 873, 547, 2594, 741, 7422, 2059, 519, 1259, 563, 2005, 5795, 4473, 547, 519, 2085, 540, 623, 1495, 1080, 1765, 29985, 2367, 538, 24320, 1047, 267, 945, 8678, 1585, 1286, 822, 753, 602, 1305, 856, 585, 11397, 3338, 269, 4256, 3106, 729, 607, 7334, 607, 741, 2132, 4266, 267, 855, 8164, 25836, 2367, 899, 715, 664, 19453, 543, 918, 842, 1575, 8120, 1753, 1310, 2909, 1324, 7366, 540, 5195, 540, 17946, 691, 1229, 8513, 267, 789, 19942, 936, 17170, 1344, 602, 5280, 519, 3703, 6445, 538, 891, 1025, 3471, 593, 519, 4786, 563, 763, 28592, 593, 519, 824, 1688, 1185, 741, 1378, 1305, 540, 4108, 1252, 1023, 267, 945, 3366, 11044, 547, 3409, 607, 1454, 8513, 607, 2009, 538, 6239, 5607, 547, 1205, 2673, 547, 3127, 269, 6736, 7368, 8942, 267, 789, 16309, 538, 3478, 1152, 607, 2484, 607, 5375, 12395, 652, 534, 267, 1247, 3624, 729, 2451, 609, 8109, 12395, 652, 534, 2066, 519, 31656, 15077, 269, 9282, 519, 3703, 6836, 547, 30549, 4708, 609, 519, 28592, 593, 513, 1906, 14026, 267, 519, 5134, 6412, 1063, 519, 1079, 581, 1335, 16251, 729, 7805, 267, 607, 4130, 5716, 16004, 519, 20015, 660, 540, 741, 3448, 538, 572, 15247, 942, 543, 1586, 563, 763, 24187, 602, 16768, 585, 936, 513, 2540, 729, 5555, 4547, 547, 513, 26699, 676, 519, 17454, 7304, 11701, 13482, 538, 476, 5002, 278, 267, 799, 8694, 513, 15999, 5736, 540, 11028, 18590, 602, 729, 10578, 1813, 547, 922, 22406, 6151, 1145, 563, 11693, 602, 1034, 540, 519, 11271, 540, 519, 1433, 616, 5094, 12531, 538, 3294, 267, 25760, 21314, 547, 7485, 1055, 513, 561, 16112, 32538, 540, 513, 2864, 1950, 2272, 609, 23538, 543, 7140, 513, 680, 4868, 269, 1280, 1346, 5432, 609, 891, 13602, 267, 519, 1433, 1223, 581, 513, 17279, 267, 1498, 606, 22555, 15415, 1223, 3142, 1007, 4030, 269, 1809, 585, 1346, 945, 2721, 513, 10145, 693, 519, 2446, 540, 519, 4279, 10794, 267, 972, 7948, 1406, 581, 513, 1732, 1259, 547, 1205, 3323, 269, 0, 6701, 596, 1373, 2922, 1247, 19855, 519, 1357, 888, 2171, 782, 2648, 519, 4950, 269, 898, 2337, 721, 609, 865, 1082, 1919, 267, 899, 5329, 721, 909, 547, 4266, 593, 519, 5767, 3377, 267, 1565, 1945, 1007, 267, 15388, 938, 5172, 1641, 267, 610, 8384, 602, 16168, 3381, 540, 513, 2915, 4730, 609, 513, 1216, 25652, 269, 21894, 596, 798, 593, 519, 4950, 267, 649, 616, 2386, 3354, 568, 835, 540, 707, 1283, 14422, 267, 607, 621, 1058, 581, 563, 1607, 3018, 649, 616, 2469, 547, 979, 936, 930, 540, 519, 12178, 547, 581, 3222, 540, 1247, 17774, 532, 519, 4950, 912, 268, 10226, 307, 4916, 269, 1403, 596, 4076, 2479, 1336, 3054, 10992, 513, 11422, 779, 15745, 547, 1294, 952, 519, 3135, 596, 2461, 1210, 568, 5150, 267, 596, 4076, 2693, 8068, 513, 2370, 9376, 12835, 538, 519, 2232, 3046, 602, 6645, 596, 952, 519, 3135, 596, 616, 1210, 568, 1373, 6039, 909, 936, 15214, 3667, 18734, 16257, 610, 10226, 307, 4916, 585, 2110, 1107, 2495, 602, 789, 723, 513, 4570, 9399, 299, 15149, 547, 2149, 1022, 1239, 1373, 10299, 269, 1403, 596, 616, 2479, 1210, 513, 3135, 602, 1281, 711, 723, 10226, 307, 4916, 610, 952, 621, 3081, 968, 8253, 24344, 892, 538, 519, 15745, 952, 596, 616, 1210, 24904, 267, 596, 949, 1616, 547, 1589, 7466, 827, 10024, 1022, 2123, 1344, 563, 268, 1912, 5109, 269, 1912, 5109, 568, 519, 3801, 547, 2119, 543, 8945, 513, 3593, 883, 4758, 909, 6213, 1344, 269, 1912, 5109, 1085, 4461, 1034, 4122, 2097, 538, 519, 1106, 540, 4757, 24401, 1993, 532, 267, 971, 607, 3843, 547, 791, 3205, 622, 513, 1164, 9043, 2754, 899, 1290, 4751, 610, 3117, 28366, 6052, 267, 10213, 596, 547, 2628, 606, 936, 16746, 3915, 610, 789, 786, 2165, 3729, 707, 3028, 5612, 269, 2480, 27980, 798, 513, 1434, 2816, 540, 1818, 891, 15737, 1413, 11307, 267, 855, 1018, 568, 1034, 1419, 513, 4666, 2285, 12537, 568, 519, 4757, 2232, 602, 621, 3357, 689, 269, 898, 568, 7363, 1360, 2673, 547, 519, 2754, 789, 616, 3843, 547, 791, 3205, 622, 267, 855, 972, 568, 2141, 1945, 1055, 952, 596, 1413, 5702, 269, 589, 1434, 1383, 1131, 581, 952, 596, 4607, 513, 26122, 4757, 689, 513, 1085, 600, 1067, 3843, 547, 1118, 621, 1413, 607, 952, 789, 941, 689, 1290, 4751, 269, 634, 4757, 2232, 786, 1034, 2693, 1413, 1945, 899, 713, 645, 3739, 287, 290, 271, 332, 4751, 338, 2593, 269, 2311, 513, 2656, 16145, 621, 666, 1413, 3833, 20310, 267, 855, 3247, 543, 1413, 585, 513, 2034, 543, 621, 779, 513, 4666, 2285, 12537, 563, 268, 681, 22095, 2264, 269, 681, 22095, 2264, 949, 581, 835, 540, 519, 1085, 2456, 339, 540, 782, 12178, 602, 561, 24642, 593, 519, 4950, 269, 1403, 596, 2461, 14542, 609, 519, 2165, 267, 26030, 2264, 568, 513, 28892, 4323, 602, 17278, 338, 519, 1239, 593, 707, 2780, 543, 6585, 621, 3984, 720, 1107, 14053, 596, 2628, 513, 26030, 538, 1931, 547, 22919, 1569, 547, 707, 3684, 269, 634, 1259, 713, 568, 2944, 568, 7363, 676, 513, 4062, 540, 18453, 1572, 513, 18858, 13568, 269, 634, 1259, 519, 18858, 13568, 4991, 593, 547, 519, 9601, 5904, 568, 7363, 676, 519, 6408, 2933, 16459, 621, 26968, 5944, 269, 18858, 329, 753, 616, 4122, 24320, 2213, 607, 16048, 6119, 269, 4495, 519, 18858, 13568, 4991, 593, 519, 9601, 2780, 267, 621, 1287, 8255, 1018, 568, 1289, 519, 968, 28324, 2903, 892, 799, 3568, 519, 26030, 2264, 269, 4495, 713, 4523, 519, 6408, 779, 2780, 543, 782, 922, 6119, 786, 581, 19526, 2476, 543, 24290, 269, 589, 7008, 2081, 547, 3251, 2922, 689, 26030, 2264, 568, 547, 5781, 9337, 707, 7193, 267, 1685, 6296, 1394, 5725, 540, 707, 1239, 267, 543, 3888, 513, 26030, 3625, 518, 269, 2142, 2523, 6297, 950, 14467, 593, 18537, 267, 6402, 543, 27589, 538, 15737, 607, 1134, 563, 763, 3106, 540, 707, 2780, 543, 1239, 1058, 2141, 581, 513, 3119, 6161, 585, 707, 1870, 269, 18227, 2834, 1394, 5725, 543, 9001, 13128, 10311, 543, 4027, 3301, 786, 979, 513, 1279, 1259, 4724, 7863, 707, 1344, 269, 1656, 952, 596, 723, 1022, 2055, 827, 1368, 8973, 707, 1949, 267, 649, 2461, 2141, 1934, 547, 948, 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 ]
[ 513, 476, 275, 269, 271, 18860, 19218, 267, 1142, 19218, 814, 1079, 23525, 1142, 269, 789, 941, 7199, 543, 1775, 1616, 547, 917, 952, 972, 568, 513, 1259, 1775, 666, 13622, 873, 1927, 547, 1205, 811, 1699, 547, 519, 16509, 952, 865, 1775, 1223, 1205, 476, 1556, 269, 276, 18860, 1775, 1616, 547, 2307, 1354, 1775, 2119, 8220, 873, 1927, 1317, 1775, 1589, 602, 2094, 519, 835, 1698, 568, 8273, 1287, 519, 824, 922, 5279, 786, 6861, 519, 4130, 19218, 563, 15916, 594, 723, 1500, 513, 27307, 16509, 9920, 602, 1568, 1210, 513, 3897, 1067, 6467, 543, 513, 476, 278, 269, 276, 579, 325, 19218, 621, 3096, 476, 8099, 341, 3600, 269, 594, 8068, 950, 519, 16509, 729, 5665, 602, 513, 17689, 602, 729, 4996, 13949, 883, 519, 3774, 729, 31300, 1359, 593, 543, 1055, 1360, 3728, 519, 6467, 593, 519, 17689, 729, 1055, 267, 708, 3478, 3049, 1394, 883, 519, 2777, 269, 594, 723, 519, 1164, 6453, 3977, 1305, 547, 9095, 547, 519, 2942, 12363, 540, 519, 16509, 267, 568, 602, 8380, 3049, 1394, 883, 519, 2777, 952, 865, 875, 666, 1775, 1689, 1250, 1305, 909, 547, 3247, 1164, 6453, 3049, 1394, 267, 519, 17689, 1100, 3476, 1568, 1775, 6836, 513, 1007, 1769, 15941, 267, 922, 22304, 563, 291, 19302, 1699, 689, 6252, 27810, 269, 17677, 6453, 585, 2048, 21468, 24733, 5537, 685, 607, 3254, 538, 519, 2539, 6516, 454, 30524, 8380, 476, 273, 27307, 27810, 538, 6252, 5595, 519, 3977, 1699, 610, 519, 3977, 6453, 888, 2791, 949, 581, 2111, 547, 1205, 2582, 31168, 952, 596, 666, 2046, 543, 5305, 707, 6467, 3728, 2614, 269, 898, 1131, 581, 7168, 2653, 547, 6633, 856, 707, 476, 273, 333, 25134, 276, 779, 899, 602, 1498, 563, 2005, 568, 11207, 4096, 656, 2390, 707, 13907, 25317, 269, 1411, 666, 5173, 519, 1699, 1210, 19315, 916, 1876, 563, 7804, 1516, 513, 1455, 12718, 1826, 27307, 16509, 693, 922, 22298, 4908, 689, 476, 1321, 309, 786, 6093, 344, 2721, 827, 476, 276, 993, 1186, 563, 5976, 476, 1321, 341, 546, 322, 875, 1454, 1699, 538, 993, 1186, 568, 2016, 607, 3403, 547, 713, 27307, 16509, 9920, 888, 302, 10798, 519, 5547, 568, 5609, 921, 679, 690, 7795, 855, 585, 519, 5365, 1223, 594, 1175, 946, 513, 6467, 543, 513, 1507, 2179, 540, 1379, 547, 9594, 519, 8141, 1287, 1310, 602, 1628, 519, 476, 27898, 5547, 7790, 744, 1492, 518, 982, 602, 594, 3580, 2322, 621, 593, 513, 13526, 4604, 543, 594, 1589, 621, 786, 960, 563, 763, 14724, 1259, 547, 1205, 9823, 568, 547, 1921, 513, 1164, 6453, 26534, 538, 3126, 609, 519, 3977, 563, 8794, 513, 1379, 13942, 1110, 15975, 1305, 547, 1164, 4908, 543, 609, 513, 5347, 532, 19218, 538, 6252, 609, 519, 3977, 786, 4196, 607, 606, 28253, 6467, 7154, 1379, 3761, 563, 6011, 666, 1775, 1205, 513, 9823, 22671, 3977, 689, 713, 27307, 16509, 9920, 286, 604, 2009, 5225, 1683, 803, 513, 5547, 269, 4517, 849, 5225, 1683, 803, 513, 476, 271, 268, 1789, 341, 476, 274, 10102, 4756, 2241, 1970, 1942, 546, 322, 1379, 3761, 1770, 5547, 6516, 585, 1250, 6901, 563, 8253, 2047, 269, 2859, 3403, 1379, 786, 2285, 3476, 31168, 607, 1279, 607, 621, 568, 711, 24906, 538, 519, 5547, 12341, 563, 19102, 2084, 519, 6453, 4294, 547, 519, 27307, 16509, 530, 961, 331, 1611, 602, 621, 786, 2721, 811, 1699, 267, 855, 621, 1223, 1175, 581, 24906, 952, 519, 4295, 568, 3587, 15459, 630, 4754, 1406, 2270, 1022, 811, 6419, 13441, 1916, 3674, 811, 1699, 689, 1379, 647, 2952, 1797, 3476, 31168, 630, 827, 476, 1240, 610, 476, 2190, 2549, 1186, 3738, 286, 594, 786, 946, 621, 547, 1379, 23592, 3213, 559, 563, 8133, 596, 666, 269, 1411, 949, 991, 547, 4188, 519, 2418, 540, 25846, 272, 547, 1732, 6474, 707, 16509, 563, 4754, 594, 946, 713, 5547, 547, 5397, 27307, 16509, 630, 609, 454, 13612, 272, 543, 26534, 585, 7863, 476, 273, 333, 25134, 276, 3738, 268, 547, 723, 835, 6007, 585, 14251, 1807, 543, 547, 723, 606, 824, 585, 15632, 16509, 888, 763, 1379, 547, 519, 27307, 16509, 2115, 547, 581, 23564, 593, 543, 1055, 14578, 269, 1635, 7311, 513, 4009, 5951, 5365, 689, 513, 5365, 11718, 267, 519, 27820, 786, 6467, 519, 1804, 14768, 585, 519, 27810, 593, 543, 1055, 538, 942, 609, 519, 5365, 563, 288, 1455, 5365, 2707, 568, 1759, 593, 513, 476, 27898, 22245, 899, 713, 18789, 5365, 11718, 563, 2791, 666, 849, 4444, 971, 513, 5547, 609, 519, 5365, 11718, 267, 1379, 24923, 543, 3773, 23644, 4027, 538, 938, 15536, 27989, 6300, 563, 7717, 787, 547, 2307, 713, 855, 1775, 993, 1360, 1007, 693, 713, 865, 1934, 1775, 979, 269, 1775, 1175, 530, 13860, 917, 1018, 568, 519, 3403, 5365, 585, 593, 570, 272, 543, 1018, 798, 596, 13622, 621, 909, 547, 888, 763, 3897, 1067, 5547, 568, 3908, 547, 513, 1970, 4908, 25244, 540, 519, 1292, 338, 4908, 563, 2791, 786, 991, 513, 5547, 2966, 585, 2362, 12451, 952, 713, 568, 1018, 596, 991, 563, 5978, 5295, 17240, 572, 3525, 15975, 786, 5397, 8038, 3724, 267, 27307, 27810, 543, 3592, 4376, 3116, 269, 634, 4908, 568, 28253, 865, 596, 666, 1305, 621, 547, 8726, 1568, 1655, 563, 15916, 1775, 2972, 630, 339, 11538, 264, 547, 1118, 782, 5686, 540, 1164, 6453, 3457, 1250, 2063, 729, 519, 3897, 1067, 19218, 543, 27307, 16509, 267, 1018, 1775, 4941, 547, 917, 568, 1223, 1775, 946, 519, 1482, 5547, 1775, 1031, 547, 1379, 519, 27307, 16509, 547, 1379, 513, 26850, 3724, 22155, 286, 610, 568, 972, 513, 630, 854, 2241, 5547, 264, 1775, 1223, 1118, 547, 1379, 519, 8038, 3724, 1775, 1616, 547, 723, 1164, 4908, 5201, 1775, 666, 25722, 1205, 602, 689, 606, 27307, 16509, 8796, 628, 3471, 454, 2791, 3100, 547, 581, 7508, 519, 1448, 269, 4658, 616, 1934, 543, 6998, 2055, 865, 789, 666, 1451, 1007, 1919, 269, 21518, 596, 11214, 4535, 609, 519, 1702, 596, 723, 888, 763, 476, 273, 333, 25134, 276, 2115, 513, 6949, 762, 1699, 585, 621, 547, 6467, 269, 9521, 513, 631, 5308, 293, 4953, 267, 891, 1419, 991, 811, 1699, 982, 606, 15096, 630, 3697, 513, 476, 27898, 264, 666, 3761, 563, 3963, 798, 649, 991, 840, 268, 600, 680, 4328, 24923, 286, 645, 293, 312, 7906, 286, 1946, 649, 18085, 1175, 6494, 5365, 2047, 547, 519, 476, 273, 333, 25134, 276, 888, 296, 3913, 819, 27810, 786, 711, 2097, 2673, 547, 519, 1379, 3977, 540, 707, 715, 4306, 269, 1358, 798, 711, 723, 1022, 1699, 12145, 3710, 538, 269, 898, 568, 1455, 547, 5397, 873, 998, 513, 1804, 1379, 19919, 540, 513, 1906, 19315, 916, 563, 2690, 513, 6070, 4248, 1698, 519, 1216, 2115, 547, 581, 15459, 609, 6070, 630, 7224, 811, 786, 23271, 1040, 4746, 2057, 26459, 607, 519, 1528, 3941, 607, 519, 6070, 1216, 786, 2014, 873, 547, 12444, 1047, 593, 519, 2627, 543, 2285, 4057, 19428, 563, 2791, 666, 1265, 519, 22671, 11503, 543, 16674, 669, 10280, 593, 552, 29074, 563, 296, 723, 513, 19440, 1129, 22155, 15951, 693, 476, 5611, 876, 24311, 693, 476, 1789, 1984, 10102, 1775, 946, 621, 585, 513, 23592, 3213, 559, 267, 529, 519, 1699, 540, 476, 273, 27307, 27810, 538, 6252, 2673, 547, 610, 2362, 1287, 476, 1789, 1984, 10102, 286, 18338, 1131, 960, 1732, 585, 519, 570, 290, 286, 594, 1616, 547, 946, 519, 27307, 27810, 865, 1775, 1810, 25722, 723, 3441, 547, 519, 715, 4306, 267, 10193, 1250, 7167, 659, 3218, 568, 513, 6070, 1216, 19218, 621, 1568, 14605, 875, 1223, 1775, 1118, 513, 1732, 1698, 610, 4444, 3283, 602, 1131, 960, 29845, 2710, 27307, 27810, 723, 1699, 12145, 899, 513, 715, 4306, 286, 798, 596, 917, 1141, 1775, 1223, 1205, 16674, 669, 10280, 547, 2149, 1250, 3026, 517, 1129, 17992, 518, 286, 11289, 596, 1360, 1454, 563, 2005, 779, 519, 3063, 1164, 28696, 543, 4881, 27810, 609, 1100, 4452, 630, 333, 5847, 593, 519, 3977, 540, 519, 16509, 264, 602, 5012, 547, 3111, 328, 675, 269, 1879, 519, 6453, 568, 1360, 1164, 543, 972, 568, 1100, 4452, 1140, 520, 3481, 267, 519, 4835, 13471, 666, 2736, 1524, 3056, 547, 513, 2110, 5547, 269, 13813, 4904, 27810, 949, 2063, 513, 2370, 3476, 1317, 519, 3282, 6411, 607, 513, 2048, 1345, 7067, 685, 30526, 267, 855, 519, 2773, 786, 5909, 534, 569, 31358, 936, 942, 563, 763, 8445, 3977, 6453, 596, 666, 1205, 689, 513, 16509, 568, 5462, 676, 519, 3403, 6453, 543, 519, 2557, 540, 1689, 540, 10826, 660, 630, 323, 296, 7933, 339, 1040, 4595, 519, 3897, 1067, 814, 2698, 1852, 936, 546, 296, 7933, 339, 543, 519, 3403, 6453, 568, 2141, 693, 1292, 338, 1377, 972, 568, 711, 1454, 596, 666, 798, 563, 2252, 513, 9823, 3977, 568, 21453, 267, 1287, 596, 1223, 946, 519, 27307, 16509, 547, 5397, 513, 6453, 12750, 1512, 585, 2799, 6453, 563, 15916, 1772, 972, 513, 1259, 547, 13622, 909, 1250, 27810, 547, 1205, 811, 6453, 602, 4465, 25722, 3441, 519, 27810, 286, 2094, 4550, 1612, 1537, 548, 331, 30001, 519, 27810, 5555, 267, 263, 12552, 585, 10213, 803, 602, 1040, 634, 5547, 708, 1210, 1568, 593, 3600, 267, 328, 1131, 899, 547, 946, 667, 322, 855, 922, 547, 1950, 585, 803, 267, 543, 9684, 596, 585, 519, 1612, 1537, 548, 331, 6516, 621, 1568, 1434, 585, 811, 1699, 563, 2791, 786, 991, 547, 1921, 27307, 27810, 538, 1612, 1537, 548, 331, 585, 811, 1699, 269, 6423, 713, 2022, 563, 763, 3119, 19218, 538, 513, 570, 290, 568, 1898, 607, 922, 1871, 11887, 519, 22298, 4908, 540, 519, 1062, 563, 296, 723, 513, 2243, 708, 2469, 547, 946, 476, 273, 27307, 27810, 538, 3126, 585, 811, 1699, 547, 1379, 513, 512, 525, 5055, 16509, 267, 2094, 519, 27307, 27810, 960, 593, 4009, 6329, 543, 519, 6281, 540, 519, 27810, 2490, 593, 543, 1055, 1082, 2053, 513, 2034, 789, 2907, 723, 513, 8375, 543, 2458, 2355, 532, 2361, 865, 1131, 1775, 1869, 991, 513, 1164, 6453, 19218, 4448, 538, 519, 3119, 524, 545, 3726, 540, 519, 512, 525, 5055, 16509, 888, 8794, 713, 5547, 609, 513, 19218, 540, 827, 476, 272, 340, 293, 585, 595, 272, 786, 2285, 9823, 20512, 1169, 2034, 610, 865, 269, 1677, 2057, 2893, 584, 908, 519, 22155, 4295, 596, 1131, 991, 547, 1305, 519, 13942, 8700, 1360, 1970, 676, 14577, 15283, 273, 563, 288, 2879, 889, 828, 5547, 540, 930, 4990, 1131, 4440, 581, 2877, 547, 3247, 1164, 6453, 26389, 14124, 519, 594, 12336, 269, 3807, 11093, 513, 19218, 2066, 519, 27810, 3403, 23525, 1131, 948, 855, 621, 1131, 849, 2569, 519, 3977, 6453, 676, 513, 1507, 2179, 563, 328, 23507, 707, 960, 543, 707, 1702, 269, 1924, 602, 5012, 803, 547, 2307, 596, 707, 5796, 593, 2679, 513, 476, 277, 18699, 3167, 535, 27247, 1210, 513, 476, 277, 18699, 1286, 16509, 29679, 6897, 13324, 547, 1832, 519, 6007, 9901, 267, 1210, 683, 27898, 22245, 267, 25134, 276, 27820, 269, 1775, 729, 11842, 952, 596, 1185, 1022, 2093, 585, 24421, 532, 519, 16509, 7157, 888, 763, 3830, 596, 2446, 568, 585, 513, 3501, 1802, 2758, 269, 901, 1797, 602, 621, 1131, 723, 1100, 4187, 543, 1100, 31887, 269, 1703, 568, 3274, 1100, 971, 3364, 538, 1022, 1316, 13519, 331, 2631, 563, 7312, 2243, 827, 513, 3020, 4009, 5951, 4929, 519, 6453, 547, 4473, 547, 20581, 568, 513, 1434, 835, 269, 901, 1131, 581, 3020, 952, 621, 941, 2009, 547, 14678, 3247, 519, 10826, 660, 13576, 538, 519, 1802, 2758, 267, 855, 1317, 540, 1896, 2188, 267, 713, 666, 711, 4755, 563, 763, 5911, 602, 2306, 519, 16509, 15069, 814, 930, 4187, 267, 855, 713, 568, 711, 938, 1292, 6161, 1317, 649, 782, 2819, 917, 602, 21367, 832, 2348, 4642, 4187, 616, 2009, 269, 32114, 649, 723, 17515, 782, 4187, 689, 519, 16509, 267, 649, 616, 1631, 2451, 609, 32366, 766, 543, 519, 1582, 31887, 540, 519, 16509, 269, 634, 1582, 31887, 568, 513, 1587, 540, 519, 694, 704, 622, 16509, 2842, 902, 543, 519, 6453, 3017, 1063, 873, 269, 901, 31887, 568, 1152, 1360, 1507, 267, 855, 621, 568, 7899, 2614, 547, 2061, 519, 6453, 8375, 547, 20581, 269, 589, 19218, 814, 606, 2404, 942, 3586, 799, 1797, 621, 786, 1491, 513, 13113, 2179, 540, 942, 547, 5279, 610, 11166, 269, 901, 11151, 1022, 8216, 1689, 540, 1699, 538, 519, 16509, 543, 4061, 7182, 519, 6453, 4473, 3812, 563, 763, 3977, 12911, 720, 568, 2301, 762, 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 ]
[ 290, 268, 476, 27898, 332, 454, 291, 268, 476, 31746, 276, 332, 692, 9172, 692, 304, 269, 2190, 1215, 1454, 476, 866, 5215, 1341, 476, 866, 7366, 1341, 476, 866, 3283, 269, 568, 7042, 288, 268, 476, 20385, 866, 454, 289, 268, 476, 1960, 866, 454, 290, 268, 476, 4489, 280, 866, 454, 291, 268, 476, 13975, 3445, 692, 304, 1839, 1215, 1082, 476, 272, 270, 279, 616, 538, 476, 272, 270, 273, 26042, 288, 268, 273, 454, 289, 268, 476, 275, 454, 290, 268, 476, 279, 454, 291, 268, 476, 1626, 692, 12585, 1883, 15618, 269, 5901, 6250, 1746, 1684, 596, 6145, 713, 1344, 7490, 2671, 547, 2828, 543, 11884, 8292, 585, 6454, 4930, 1547, 0, 258, 20943, 2045, 1648, 540, 6676, 23033, 9582, 1966, 692, 272, 269, 3057, 476, 275, 267, 476, 1001, 278, 692, 2162, 554, 526, 531, 4821, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 3080, 1198, 540, 6676, 23033, 9582, 568, 602, 519, 3345, 1977, 18626, 6676, 7575, 2066, 519, 3047, 779, 2627, 693, 513, 3432, 540, 827, 476, 272, 269, 1428, 4699, 270, 10455, 269, 634, 3345, 1977, 6676, 814, 606, 1858, 540, 827, 476, 3374, 2929, 4009, 12919, 267, 606, 3328, 11098, 540, 827, 476, 1839, 5998, 267, 543, 513, 5860, 540, 827, 476, 274, 575, 270, 764, 269, 1548, 568, 519, 15452, 1648, 2404, 609, 713, 3350, 2496, 273, 269, 31999, 4834, 454, 271, 269, 276, 332, 341, 273, 692, 274, 269, 634, 3801, 693, 513, 3070, 454, 14179, 2541, 284, 19327, 265, 628, 32169, 454, 14179, 2541, 284, 476, 3374, 2608, 11820, 2608, 476, 7742, 876, 815, 476, 279, 269, 4037, 2608, 6200, 275, 544, 274, 454, 323, 3748, 815, 274, 575, 270, 764, 815, 476, 4968, 271, 4846, 8276, 274, 454, 767, 6290, 284, 476, 272, 269, 1428, 9492, 270, 10455, 815, 476, 274, 269, 7597, 278, 265, 1015, 268, 1015, 544, 4882, 692, 21346, 815, 5860, 2608, 4320, 454, 21346, 284, 476, 279, 269, 4037, 2608, 6200, 275, 544, 274, 2608, 476, 4968, 271, 4846, 8276, 274, 454, 21346, 815, 476, 273, 269, 27698, 2608, 476, 6200, 279, 4846, 692, 7219, 2045, 1648, 815, 476, 271, 269, 276, 332, 341, 273, 454, 271, 269, 276, 2608, 476, 273, 269, 27698, 2608, 476, 6200, 279, 2608, 630, 274, 269, 7597, 278, 265, 1015, 268, 1015, 264, 273, 454, 284, 476, 271, 269, 9692, 808, 537, 956, 454, 7069, 2626, 568, 6825, 4636, 855, 1018, 781, 4636, 609, 621, 2496, 273, 269, 3057, 476, 275, 267, 476, 1001, 278, 692, 2162, 16065, 281, 22895, 528, 692, 13425, 707, 7503, 689, 4009, 12919, 547, 4009, 7397, 585, 519, 1858, 780, 274, 269, 3057, 476, 275, 267, 476, 1001, 278, 0, 15507, 513, 1297, 454, 30130, 6924, 272, 568, 513, 6305, 1297, 454, 26015, 11847, 19948, 454, 16535, 6200, 9826, 6200, 6200, 18733, 1822, 272, 454, 24374, 13975, 22903, 28512, 273, 454, 30329, 31648, 23417, 4905, 454, 276, 6078, 31979, 21076, 454, 277, 1556, 14631, 31746, 454, 278, 2918, 21854, 6860, 454, 24934, 11277, 30444, 272, 454, 4817, 278, 6187, 273, 276, 454, 9818, 275, 1626, 10037, 454, 12208, 15389, 279, 320, 454, 13199, 3393, 279, 4817, 454, 1724, 25900, 277, 320, 273, 454, 16825, 322, 10463, 321, 454, 14444, 321, 4343, 321, 454, 28411, 276, 3607, 321, 272, 692, 30130, 6924, 272, 814, 476, 273, 16975, 267, 4171, 2040, 568, 21566, 815, 476, 30130, 6924, 273, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 30130, 27151, 780, 763, 3105, 6305, 568, 476, 30130, 4792, 280, 269, 634, 1985, 6305, 568, 476, 30130, 6924, 278, 269, 634, 30729, 540, 476, 30130, 6924, 272, 568, 476, 5908, 16960, 780, 2005, 568, 513, 2178, 6305, 780, 2005, 666, 581, 2854, 607, 513, 2040, 540, 2318, 10945, 538, 1152, 835, 1259, 267, 1775, 4318, 1421, 476, 30130, 4962, 277, 1341, 476, 27698, 815, 476, 6812, 275, 317, 273, 1341, 476, 1839, 317, 273, 16317, 2005, 568, 513, 28023, 1297, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 30130, 6924, 272, 910, 476, 2918, 815, 476, 30130, 277, 1704, 568, 513, 6305, 780, 2005, 568, 513, 2706, 268, 273, 1297, 267, 2094, 476, 273, 9943, 30130, 6924, 272, 273, 815, 476, 22001, 5392, 272, 279, 1556, 276, 2420, 267, 799, 3568, 476, 2420, 607, 10799, 532, 780, 2005, 568, 606, 14455, 17026, 622, 1297, 267, 2094, 621, 1281, 711, 2291, 513, 1297, 562, 799, 5258, 676, 922, 2040, 540, 9704, 3947, 476, 30130, 6924, 272, 780, 2005, 568, 711, 513, 4617, 569, 6305, 267, 1317, 621, 666, 581, 4957, 883, 1776, 6305, 630, 30130, 6924, 278, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 12077, 267, 476, 10204, 279, 2412, 1341, 476, 10204, 279, 6078, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 10204, 279, 6078, 6393, 23056, 12739, 272, 568, 606, 3284, 32565, 1297, 780, 2005, 568, 606, 21443, 762, 1297, 780, 30130, 6924, 272, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 272, 6393, 30130, 6924, 272, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 30130, 6924, 272, 568, 606, 9409, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 1256, 780, 763, 1587, 540, 922, 9704, 568, 476, 6872, 277, 267, 1247, 519, 2040, 568, 476, 2537, 780, 763, 4009, 3597, 540, 476, 30130, 6924, 272, 568, 827, 476, 6812, 275, 269, 276, 4097, 5952, 278, 279, 1691, 274, 269, 634, 12945, 3597, 540, 476, 30130, 6924, 272, 568, 827, 476, 7597, 269, 280, 1015, 14444, 279, 5379, 280, 780, 2005, 666, 581, 5258, 538, 1079, 2694, 267, 476, 30130, 543, 476, 6924, 272, 267, 602, 16611, 1927, 2285, 513, 21083, 1297, 630, 22446, 21854, 815, 570, 6924, 272, 6393, 763, 10259, 540, 476, 30130, 6924, 272, 538, 1913, 568, 834, 22764, 4627, 17288, 14633, 8536, 267, 3670, 4627, 32210, 14633, 2668, 0, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 25418, 547, 5195, 829, 5662, 568, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 267, 799, 1797, 602, 476, 272, 24516, 568, 3160, 547, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 5195, 829, 5662, 1384, 272, 737, 339, 815, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 2414, 6460, 476, 280, 1704, 25418, 883, 5195, 829, 5662, 649, 723, 547, 9062, 476, 280, 1704, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 6991, 2179, 689, 25418, 547, 5195, 829, 5662, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 737, 339, 9890, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 280, 1704, 737, 339, 9890, 966, 9852, 874, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 6991, 966, 538, 5195, 829, 5662, 1384, 309, 9852, 874, 264, 815, 476, 280, 1704, 737, 339, 6398, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 309, 9852, 874, 264, 815, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 18890, 692, 763, 3803, 1267, 568, 1384, 280, 1704, 737, 339, 9890, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 18890, 692, 2171, 9959, 602, 476, 280, 1704, 25418, 568, 6697, 547, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 5195, 829, 5662, 1384, 280, 1704, 25418, 815, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 5195, 829, 5662, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 13304, 829, 5662, 568, 3160, 547, 476, 271, 269, 1822, 280, 5325, 277, 3066, 4366, 280, 276, 3953, 277, 6398, 476, 280, 1704, 25418, 780, 5194, 1259, 568, 6031, 602, 476, 280, 1704, 25418, 568, 3160, 547, 476, 272, 21680, 476, 271, 269, 1822, 280, 5325, 277, 3066, 4366, 280, 276, 3953, 277, 5195, 829, 5662, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 8370, 4627, 11157, 8696, 25418, 568, 5111, 835, 8536, 15823, 19317, 1448, 1079, 3670, 2947, 5195, 829, 5662, 1384, 280, 1704, 737, 339, 9881, 483, 476, 10755, 276, 269, 25228, 18890, 692, 2304, 4244, 568, 849, 602, 835, 13304, 829, 5662, 568, 5111, 4642, 1448, 4642, 4642, 835, 2053, 8370, 4627, 11157, 8696, 25418, 780, 1012, 23586, 3349, 692, 2162, 25418, 547, 5195, 829, 5662, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 25418, 547, 5195, 829, 5662, 692, 30893, 1824, 630, 19241, 264, 5195, 829, 5662, 630, 332, 874, 994, 280, 1240, 25418, 476, 10755, 277, 269, 275, 1626, 5195, 829, 5662, 454, 280, 866, 25418, 476, 10755, 278, 269, 276, 5780, 5195, 829, 5662, 454, 280, 736, 25418, 476, 10755, 279, 269, 278, 1704, 5195, 829, 5662, 454, 280, 2641, 25418, 476, 10755, 280, 269, 279, 6924, 5195, 829, 5662, 454, 280, 2420, 25418, 476, 11793, 272, 269, 25171, 5195, 829, 5662, 454, 280, 2537, 25418, 476, 11793, 273, 269, 15433, 5195, 829, 5662, 454, 280, 2190, 25418, 476, 11793, 274, 269, 3953, 5195, 829, 5662, 454, 280, 1839, 25418, 476, 11793, 275, 269, 5325, 272, 5195, 829, 5662, 454, 280, 2918, 25418, 476, 11793, 276, 269, 25118, 5195, 829, 5662, 454, 280, 2767, 25418, 476, 11793, 277, 269, 6507, 274, 5195, 829, 5662, 0, 9943, 454, 7476, 9509, 7457, 547, 16504, 27018, 12307, 1656, 21940, 776, 10025, 10819, 910, 476, 1015, 9990, 910, 3848, 476, 1015, 269, 276, 910, 9046, 476, 277, 454, 7476, 9509, 7457, 547, 16504, 27018, 12307, 1656, 21940, 776, 10025, 10819, 910, 476, 1015, 9990, 910, 3848, 476, 1015, 269, 276, 910, 9046, 476, 277, 692, 9943, 692, 258, 5192, 2626, 281, 769, 1142, 540, 476, 272, 998, 476, 277, 267, 3313, 2436, 519, 1505, 540, 9668, 540, 692, 25835, 281, 476, 7818, 271, 5325, 271, 3393, 279, 4029, 271, 476, 12739, 692, 1012, 8827, 585, 1966, 476, 277, 3848, 476, 1015, 269, 276, 692, 292, 11915, 27018, 12307, 543, 21940, 776, 10025, 10819, 1923, 476, 1015, 628, 9990, 692, 1892, 30930, 10298, 454, 1892, 476, 23310, 272, 5153, 8386, 9912, 3435, 12193, 676, 20485, 543, 1641, 4966, 454, 1892, 5192, 476, 2190, 270, 278, 948, 689, 5530, 306, 19281, 5691, 3450, 20843, 692, 292, 11915, 27018, 12307, 543, 21940, 776, 10025, 10819, 1923, 476, 1015, 628, 9990, 692, 275, 476, 276, 476, 272, 476, 25002, 17352, 454, 1724, 454, 273, 454, 19370, 476, 277, 692, 1103, 1142, 540, 476, 272, 998, 476, 277, 267, 3313, 2436, 519, 1505, 540, 9668, 540, 4632, 666, 581, 1031, 547, 5372, 519, 2016, 9864, 11186, 3830, 676, 513, 6292, 540, 8723, 11186, 4834, 269, 1403, 865, 267, 1265, 519, 4834, 269, 5060, 343, 1341, 579, 344, 344, 1341, 1535, 340, 815, 476, 271, 692, 3721, 8386, 28157, 8827, 912, 3721, 476, 272, 540, 476, 274, 692, 12385, 4631, 681, 9128, 1341, 681, 3918, 293, 13723, 267, 5181, 476, 278, 267, 476, 1001, 277, 476, 274, 281, 5881, 6751, 5623, 9046, 1210, 21714, 26332, 1588, 543, 7982, 1189, 15240, 3191, 910, 273, 476, 277, 910, 275, 910, 277, 910, 275, 476, 1428, 910, 273, 476, 271, 476, 276, 910, 280, 476, 2190, 476, 3393, 5457, 585, 21714, 26332, 1588, 267, 519, 3804, 568, 547, 2322, 519, 5119, 538, 681, 9128, 1677, 798, 713, 267, 1118, 519, 1101, 11664, 540, 519, 1101, 4737, 815, 476, 272, 676, 14921, 676, 910, 476, 272, 270, 273, 1715, 19336, 476, 272, 910, 274, 476, 273, 476, 274, 910, 275, 476, 1428, 910, 273, 476, 271, 476, 276, 910, 280, 476, 2190, 476, 3393, 8921, 1118, 782, 519, 2338, 18284, 519, 476, 272, 649, 1175, 1500, 883, 21325, 269, 901, 568, 2944, 676, 14921, 519, 1101, 4737, 543, 4946, 621, 547, 1776, 4737, 476, 275, 305, 272, 1341, 681, 273, 476, 275, 910, 1321, 476, 279, 476, 1321, 1715, 19336, 476, 272, 910, 274, 476, 273, 476, 274, 476, 271, 476, 274, 476, 277, 476, 1321, 476, 276, 910, 280, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 258, 22958, 518, 552, 329, 6374, 334, 632, 635, 334, 11281, 3611, 657, 679, 19448, 9184, 5055, 13483, 331, 692, 339, 629, 5055, 306, 27942, 815, 27835, 333, 558, 3691, 9166, 262, 303, 539, 549, 3299, 1412, 777, 749, 18480, 9166, 262, 1412, 2073, 1412, 539, 611, 9166, 6321, 267, 1412, 857, 644, 611, 9166, 262, 309, 3218, 807, 262, 10926, 992, 815, 11713, 1721, 1883, 538, 9184, 5055, 306, 27942, 912, 825, 4737, 6910, 6025, 629, 5055, 306, 27942, 314, 4486, 7481, 2745, 21405, 2020, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 32220, 11907, 7933, 520, 657, 6155, 321, 17210, 322, 815, 598, 333, 269, 19387, 10797, 258, 23453, 513, 4737, 540, 1239, 692, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 1268, 553, 966, 3201, 308, 2464, 630, 301, 26097, 267, 29845, 29845, 29845, 24047, 2580, 4737, 994, 935, 333, 2593, 2466, 30800, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 2260, 270, 692, 258, 306, 1122, 1495, 334, 552, 329, 6374, 334, 632, 1212, 541, 9184, 5055, 552, 1593, 322, 597, 3611, 657, 632, 1106, 320, 678, 5451, 3671, 320, 780, 338, 27942, 6958, 559, 916, 815, 13634, 257, 17138, 9899, 257, 289, 520, 2006, 20350, 257, 17413, 9899, 257, 2735, 280, 20350, 257, 305, 730, 9899, 257, 22333, 268, 1724, 20350, 257, 3725, 548, 1078, 9899, 257, 2537, 9947, 476, 2735, 280, 20350, 257, 305, 29025, 9899, 257, 14695, 1295, 20350, 257, 7049, 516, 9899, 257, 288, 794, 267, 23874, 20350, 257, 17445, 528, 9899, 257, 20755, 8738, 2023, 20350, 257, 310, 31581, 9899, 257, 7692, 918, 2033, 289, 520, 2006, 3197, 20350, 21202, 4701, 9899, 257, 28061, 3223, 26293, 20350, 257, 5522, 582, 9899, 257, 763, 14730, 26427, 540, 717, 1054, 600, 4975, 5956, 1010, 2112, 593, 6760, 609, 1010, 1101, 2101, 10546, 1373, 519, 804, 1144, 880, 569, 4630, 20141, 808, 20269, 1701, 2676, 257, 23458, 9899, 257, 12626, 267, 3943, 267, 5053, 20350, 257, 15575, 787, 9899, 257, 24433, 267, 5177, 20350, 21202, 2072, 9899, 257, 310, 517, 476, 272, 30546, 269, 6271, 476, 279, 17993, 1299, 476, 2918, 9930, 5209, 1701, 2676, 257, 8070, 518, 9899, 257, 10059, 2517, 332, 6230, 4215, 268, 600, 7571, 2593, 270, 30502, 19072, 19072, 309, 276, 13696, 31159, 342, 301, 329, 288, 344, 7495, 296, 344, 300, 293, 276, 13696, 331, 276, 289, 534, 289, 333, 311, 330, 293, 339, 313, 31159, 342, 301, 19699, 342, 13270, 330, 273, 11519, 309, 272, 318, 306, 311, 4968, 27970, 20350, 257, 305, 520, 902, 9899, 257, 25542, 28414, 18482, 20350, 257, 13126, 9899, 257, 18404, 659, 26578, 20350, 257, 18404, 2444, 648, 9899, 257, 7597, 20350, 257, 574, 27219, 305, 908, 9899, 257, 278, 269, 276, 20350, 257, 574, 27219, 309, 4925, 9899, 257, 27088, 267, 276, 2190, 20350, 257, 574, 27219, 2839, 9899, 257, 1777, 27947, 6924, 280, 276, 20350, 257, 13911, 9899, 257, 332, 990, 773, 20350, 257, 291, 13748, 9899, 257, 1839, 3057, 476, 1960, 278, 20350, 257, 26213, 19423, 823, 9899, 257, 301, 12458, 20350, 257, 303, 3174, 9899, 257, 23219, 1676, 645, 4592, 269, 24436, 20350, 20442, 2125, 924, 9899, 257, 301, 12458, 20350, 257, 25215, 2945, 9899, 257, 12148, 257, 10926, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 692, 258, 306, 597, 557, 16948, 1212, 541, 19448, 9184, 5055, 964, 1372, 524, 3266, 679, 19448, 3490, 632, 3611, 657, 586, 320, 1212, 3385, 780, 12399, 815, 11713, 1721, 1883, 538, 13483, 331, 6958, 559, 916, 912, 825, 10569, 6910, 31107, 2020, 322, 815, 598, 333, 269, 19387, 10797, 258, 23453, 513, 4737, 540, 1239, 454, 1721, 1883, 538, 10569, 912, 825, 524, 20216, 31146, 2891, 3201, 9898, 570, 21764, 10652, 10306, 553, 5084, 291, 23333, 9331, 301, 15079, 2668, 8971, 31107, 4917, 935, 333, 2593, 2466, 10797, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 270, 692, 992, 815, 11713, 258, 11184, 557, 16948, 882, 6352, 541, 19448, 9184, 5055, 632, 3611, 657, 13483, 331, 454, 1721, 1883, 538, 13483, 331, 6958, 559, 916, 912, 825, 4737, 6910, 4433, 27942, 6958, 559, 916, 314, 4486, 7481, 2745, 21405, 2020, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 10652, 10306, 553, 966, 3201, 308, 2464, 630, 301, 26097, 267, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 24047, 2580, 4737, 994, 935, 333, 2593, 2466, 4590, 935, 333, 25379, 4590, 0, 258, 27273, 692, 258, 1362, 589, 10031, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 1820, 3488, 514, 1362, 513, 5073, 258, 1363, 1582, 269, 12534, 272, 815, 476, 1911, 454, 258, 1362, 645, 10490, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 2706, 14061, 1029, 8181, 1029, 4590, 258, 1363, 1820, 2891, 514, 1362, 536, 5602, 258, 1362, 595, 16360, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 2706, 10490, 267, 1345, 1040, 1029, 8181, 1029, 4590, 258, 1363, 1582, 269, 12534, 273, 815, 1582, 269, 12534, 272, 1341, 476, 272, 19638, 692, 258, 3438, 1807, 328, 24140, 804, 848, 692, 258, 1362, 3733, 4504, 17301, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 15893, 2187, 258, 1363, 2706, 263, 7069, 4504, 267, 1345, 1040, 1029, 8181, 1029, 4590, 258, 1363, 1582, 8542, 3784, 284, 15893, 454, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 16482, 258, 1363, 1297, 8217, 815, 1496, 328, 585, 1775, 538, 2039, 4311, 8542, 3784, 1341, 476, 272, 22708, 258, 1363, 12055, 5334, 15036, 815, 594, 614, 272, 28840, 8217, 994, 258, 1363, 2132, 12055, 5334, 15036, 454, 16482, 258, 1362, 3733, 21803, 19304, 2187, 16482, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 6318, 3502, 25363, 7757, 19638, 19638, 692, 16482, 258, 1362, 594, 614, 272, 10031, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 3240, 8217, 281, 1592, 2187, 258, 1363, 1582, 269, 3240, 8217, 815, 1250, 8217, 454, 16482, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 2132, 1582, 454, 258, 672, 1219, 6449, 10113, 9191, 1345, 2187, 258, 1363, 952, 1582, 269, 3240, 8217, 912, 258, 17264, 2132, 1582, 269, 3240, 8217, 21014, 263, 271, 994, 258, 1363, 3116, 912, 258, 17264, 6318, 17547, 296, 614, 566, 692, 258, 1250, 318, 3438, 815, 594, 614, 272, 8443, 272, 267, 273, 267, 274, 7481, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 11723, 258, 1362, 5136, 329, 272, 10031, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 2132, 594, 614, 272, 8443, 272, 267, 273, 267, 274, 7481, 16482, 258, 1073, 329, 272, 815, 5136, 329, 272, 4590, 258, 1073, 329, 273, 815, 3733, 4504, 263, 276, 994, 258, 1073, 329, 274, 815, 3733, 21803, 3488, 29582, 3698, 326, 5073, 16482, 258, 1820, 263, 276, 2652, 1073, 329, 273, 994, 258, 585, 1775, 538, 1073, 329, 273, 912, 258, 672, 1820, 9217, 994, 258, 585, 1775, 538, 1073, 329, 274, 912, 258, 672, 1820, 9217, 2020, 258, 585, 1775, 538, 1073, 329, 272, 912, 258, 672, 1820, 9217, 267, 1826, 9217, 11723, 692, 258, 1362, 3733, 17572, 15411, 10031, 258, 672, 1219, 6449, 10938, 9191, 1345, 2187, 258, 1363, 1820, 3488, 1103, 4283, 1505, 5073, 258, 672, 1219, 6449, 1410, 527, 9191, 1345, 267, 1410, 322, 25292, 267, 1410, 322, 26371, 267, 1410, 322, 4671, 321, 2187, 258, 1363, 1820, 3488, 1103, 14827, 1505, 5073, 258, 1363, 1104, 942, 454, 258, 1363, 942, 4732, 2748, 263, 273, 994, 16482, 258, 609, 3733, 17572, 15411, 3890, 607, 1250, 18316, 318, 13449, 912, 258, 672, 1820, 3488, 1103, 2796, 5073, 258, 672, 6318, 5900, 25572, 13286, 692, 5035, 5124, 24927, 7476, 3890, 1384, 454, 825, 1219, 6449, 10938, 9191, 1345, 2187, 1038, 535, 815, 1930, 3488, 3240, 18316, 3299, 1412, 342, 5073, 1038, 1582, 8807, 815, 535, 454, 1038, 2132, 1582, 454, 825, 1219, 1205, 6831, 1712, 4311, 2187, 1038, 5401, 815, 1412, 24257, 1412, 454, 1038, 25034, 815, 476, 275, 2608, 1412, 1412, 454, 1038, 4831, 815, 476, 271, 454, 1038, 513, 815, 3403, 9638, 668, 696, 1341, 4831, 2608, 25034, 994, 1038, 1582, 8807, 22182, 6262, 3300, 2608, 25034, 1341, 513, 1341, 1412, 315, 333, 5073, 1038, 1247, 513, 610, 4831, 11203, 476, 271, 912, 2018, 952, 513, 269, 1742, 5976, 3488, 281, 262, 2187, 3546, 5401, 815, 1412, 1862, 1412, 1341, 25034, 2608, 4831, 454, 3546, 4831, 6834, 476, 272, 692, 2018, 513, 815, 3403, 9638, 668, 696, 1341, 4831, 2608, 25034, 994, 2018, 952, 513, 2525, 5257, 912, 3546, 4831, 20699, 476, 272, 454, 2018, 1582, 8807, 22182, 6262, 3300, 2608, 25034, 1341, 513, 1341, 1412, 315, 333, 5073, 825, 1219, 6449, 1410, 527, 9191, 1345, 267, 1410, 322, 25292, 267, 1410, 322, 26371, 267, 1410, 322, 4671, 321, 2187, 1038, 1582, 8807, 25379, 10797, 7531, 5976, 5124, 24927, 7476, 3890, 607, 3009, 318, 1326, 912, 825, 3009, 318, 1326, 10947, 6831, 1712, 10797, 0, 258, 476, 736, 303, 454, 258, 6744, 9598, 15058, 318, 29798, 543, 3313, 799, 1599, 814, 519, 10545, 1871, 538, 519, 1592, 540, 2418, 692, 3698, 1628, 5416, 267, 536, 267, 524, 2187, 825, 1219, 3210, 3287, 2187, 1038, 1267, 815, 476, 271, 454, 1038, 1267, 815, 513, 2608, 1535, 2878, 476, 273, 1341, 536, 2608, 1535, 1341, 524, 454, 1038, 2132, 1267, 454, 825, 2132, 3210, 692, 4289, 15058, 6958, 17313, 815, 11713, 18743, 15058, 318, 29798, 815, 2715, 10926, 1721, 513, 267, 536, 267, 524, 538, 16733, 272, 267, 910, 273, 267, 476, 273, 1070, 630, 273, 267, 910, 275, 267, 476, 275, 1070, 630, 274, 267, 910, 277, 267, 476, 277, 15892, 825, 1592, 15058, 6958, 17313, 6910, 6357, 4265, 5416, 14720, 22698, 11723, 1721, 1599, 538, 1592, 15058, 6958, 17313, 912, 825, 1592, 28767, 815, 11713, 825, 585, 586, 538, 2039, 8987, 1015, 267, 476, 1015, 17107, 1038, 1592, 28767, 6910, 6600, 4233, 12169, 4917, 825, 9598, 15058, 318, 29798, 314, 10818, 316, 815, 1592, 28767, 19638, 10818, 318, 5976, 5334, 332, 718, 652, 318, 14310, 815, 7183, 454, 20791, 652, 19056, 815, 7183, 454, 4289, 28804, 28767, 815, 11713, 1721, 1599, 267, 2418, 538, 9598, 15058, 318, 29798, 29096, 10031, 825, 1592, 28804, 28767, 6910, 263, 2381, 263, 11161, 4917, 825, 10545, 19056, 815, 1295, 17338, 28804, 28767, 994, 825, 585, 3693, 538, 2418, 912, 1038, 952, 263, 2381, 17338, 28804, 28767, 264, 2652, 3693, 2187, 2018, 1599, 318, 5976, 5334, 332, 718, 652, 318, 14310, 815, 1599, 454, 2745, 3488, 20791, 652, 1871, 815, 22207, 20791, 652, 19056, 994, 2745, 3488, 10818, 609, 519, 10545, 1267, 815, 22207, 10818, 318, 5976, 5334, 332, 718, 652, 318, 14310, 2020, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 7531, 0, 18851, 14581, 476, 276, 910, 2115, 547, 581, 4843, 1354, 981, 1554, 20701, 258, 1284, 1616, 547, 1711, 1362, 585, 606, 1843, 602, 31136, 899, 513, 6906, 267, 602, 814, 8465, 5011, 543, 7285, 563, 258, 5221, 540, 4114, 574, 725, 538, 9226, 519, 6906, 786, 1205, 25302, 1310, 930, 540, 519, 2242, 865, 713, 568, 711, 513, 454, 258, 3501, 2203, 692, 258, 476, 1789, 303, 454, 258, 476, 910, 1362, 4020, 528, 666, 4309, 476, 274, 7440, 585, 7285, 630, 5976, 9949, 1871, 540, 476, 2568, 264, 543, 476, 274, 7440, 585, 5011, 630, 5976, 454, 258, 9949, 1871, 540, 476, 272, 994, 258, 1362, 4632, 585, 5011, 786, 581, 1572, 589, 267, 645, 267, 595, 454, 258, 1362, 4632, 585, 7285, 786, 581, 1572, 9474, 267, 7460, 267, 11404, 630, 785, 21899, 5011, 2020, 258, 476, 1789, 303, 454, 258, 910, 1362, 28352, 1505, 547, 12189, 318, 4120, 912, 258, 567, 910, 12189, 318, 4120, 1505, 3217, 1079, 4661, 912, 258, 11434, 910, 834, 4120, 257, 543, 666, 581, 835, 540, 476, 274, 5569, 2418, 1412, 5723, 3299, 1412, 6195, 3299, 1412, 7563, 7055, 258, 11434, 910, 834, 19592, 4181, 257, 602, 666, 581, 513, 2318, 610, 2942, 543, 4564, 519, 2179, 676, 799, 519, 5086, 786, 581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 636, 331, 1695, 272, 10031, 453, 16596, 15552, 14857, 329, 636, 331, 1695, 692, 453, 258, 1505, 11979, 562, 11391, 601, 1183, 1073, 329, 2131, 15854, 1362, 454, 453, 287, 18878, 24709, 1948, 1372, 14585, 1807, 454, 22592, 1205, 297, 636, 331, 1695, 273, 10031, 453, 16596, 15552, 14857, 329, 636, 331, 1695, 692, 453, 287, 5035, 24709, 454, 22592, 1205, 297, 636, 331, 1695, 274, 263, 743, 338, 2187, 453, 16596, 804, 338, 14857, 329, 636, 331, 1695, 692, 338, 14269, 704, 815, 15552, 3488, 338, 14269, 704, 5073, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 15405, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 272, 15405, 20891, 31483, 340, 815, 15552, 3488, 20891, 31483, 340, 5073, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 273, 15405, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 273, 15405, 323, 992, 337, 9734, 815, 15552, 3488, 323, 992, 337, 9734, 5073, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 274, 15405, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 274, 28829, 0, 25900, 284, 6358, 4590, 325, 17342, 2639, 1721, 522, 538, 27652, 912, 14851, 522, 18994, 333, 10179, 545, 10031, 453, 453, 325, 6910, 263, 334, 994, 2745, 3488, 8339, 21860, 6600, 4917, 0, 822, 284, 4289, 9272, 15405, 14269, 17342, 2639, 1721, 575, 538, 1285, 912, 567, 952, 575, 711, 538, 562, 328, 912, 8587, 562, 328, 6910, 14116, 994, 604, 1285, 2525, 14269, 912, 567, 1820, 2891, 8133, 5602, 12828, 912, 567, 1820, 2891, 5591, 5602, 0, 3698, 19389, 31374, 263, 2855, 267, 7003, 3738, 2433, 1477, 825, 585, 1775, 538, 2039, 12759, 910, 476, 272, 8029, 1038, 585, 795, 538, 2039, 12759, 910, 476, 272, 910, 1775, 8029, 2018, 952, 2855, 14728, 316, 3436, 2855, 14728, 1341, 476, 272, 316, 6769, 3546, 2855, 14728, 3910, 2855, 14728, 1341, 476, 272, 316, 815, 2855, 14728, 1341, 476, 272, 3910, 2855, 14728, 316, 24653, 6352, 815, 703, 263, 3403, 263, 834, 11767, 20099, 540, 5044, 2433, 834, 3738, 476, 10142, 1551, 815, 32582, 5897, 1721, 1775, 538, 2039, 263, 7003, 3738, 2433, 1477, 825, 1535, 815, 703, 263, 3403, 263, 834, 11767, 1871, 538, 5044, 2433, 834, 3738, 476, 3418, 825, 2855, 6910, 263, 1535, 476, 10142, 2745, 263, 834, 308, 985, 9285, 5044, 568, 2433, 14307, 2855, 476, 10142, 321, 889, 1076, 31374, 263, 2855, 267, 7003, 476, 10142, 2745, 263, 834, 292, 6123, 538, 15044, 1931, 616, 2433, 14307, 2855, 3738 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1480, 6608, 1058, 1246, 519, 1383, 540, 2696, 538, 18245, 519, 2924, 540, 1169, 12504, 543, 8156, 3025, 9425, 543, 8449, 896, 519, 1876, 269, 3143, 835, 1058, 581, 968, 629, 913, 519, 1876, 2223, 711, 1256, 519, 5207, 8387, 538, 519, 2229, 269, 3958, 267, 519, 2924, 543, 22624, 540, 519, 4617, 652, 2818, 540, 2486, 1058, 581, 9856, 539, 607, 1990, 7002, 3585, 607, 519, 22624, 540, 519, 16999, 2818, 563, 2108, 303, 2720, 3726, 540, 8788, 892, 3085, 1406, 1611, 13287, 540, 12257, 454, 763, 1318, 547, 11654, 835, 779, 1378, 8788, 630, 528, 2147, 2262, 532, 264, 568, 513, 1523, 1336, 538, 1896, 6054, 689, 519, 476, 1704, 628, 2540, 4464, 267, 1519, 519, 476, 15433, 274, 4828, 19634, 940, 5274, 4197, 676, 3703, 2797, 14544, 3627, 28676, 269, 28676, 267, 945, 1419, 5219, 547, 519, 6392, 540, 519, 6426, 267, 729, 513, 2101, 3310, 593, 7338, 16962, 267, 15656, 17566, 543, 824, 1977, 27428, 269, 1809, 519, 8561, 538, 891, 3105, 12591, 729, 2760, 593, 513, 13719, 13287, 540, 2283, 783, 12257, 563, 9213, 267, 1082, 1004, 2015, 519, 13287, 540, 8788, 513, 1164, 10862, 267, 855, 538, 513, 1259, 1454, 1114, 982, 519, 1977, 15713, 18971, 1185, 538, 2247, 269, 4653, 779, 1582, 19721, 267, 5905, 344, 1922, 2465, 569, 2486, 568, 13856, 676, 1570, 1143, 267, 1480, 1143, 543, 15949, 517, 1143, 1765, 1117, 517, 1143, 1373, 519, 968, 335, 2720, 3726, 540, 610, 20174, 547, 12257, 267, 2523, 547, 519, 5418, 9778, 540, 519, 12823, 892, 630, 763, 1977, 11595, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 1916, 1103, 513, 1612, 762, 827, 519, 5609, 540, 524, 913, 339, 748, 1145, 267, 4906, 19230, 1996, 513, 6159, 1324, 547, 968, 339, 820, 707, 8897, 282, 3548, 267, 4235, 267, 543, 581, 5789, 787, 892, 630, 299, 8123, 476, 1321, 281, 1428, 268, 2641, 1916, 763, 19980, 548, 6754, 5206, 267, 968, 3719, 917, 713, 267, 602, 538, 519, 2063, 2395, 829, 559, 748, 2053, 786, 2097, 281, 1280, 2367, 786, 581, 18798, 540, 2933, 267, 18798, 540, 2724, 2507, 23719, 1582, 20820, 2507, 3650, 17641, 267, 688, 7676, 1399, 267, 18798, 540, 12257, 2864, 982, 18798, 540, 2696, 892, 630, 273, 30227, 476, 274, 281, 272, 268, 275, 1040, 769, 891, 968, 18431, 2395, 2223, 4896, 666, 1294, 602, 891, 2042, 616, 6385, 3478, 8338, 563, 12148, 267, 9434, 8788, 666, 1152, 581, 5833, 676, 2713, 513, 4075, 6681, 1272, 543, 2348, 513, 2673, 2078, 609, 2696, 269, 769, 1034, 6426, 16627, 267, 519, 10726, 6421, 540, 15623, 476, 276, 281, 274, 268, 1015, 2253, 609, 968, 289, 1652, 539, 616, 2507, 892, 1717, 267, 519, 5259, 2262, 12261, 968, 321, 1652, 539, 892, 666, 849, 581, 12261, 607, 968, 327, 7026, 3034, 28074, 811, 982, 8788, 267, 519, 6426, 11363, 7772, 269, 19732, 1465, 666, 581, 9763, 607, 513, 10151, 7553, 1759, 593, 1018, 568, 4867, 8345, 267, 6466, 7772, 666, 581, 513, 8628, 1533, 540, 2247, 269, 968, 18661, 3947, 7326, 543, 1702, 543, 7772, 547, 513, 812, 945, 568, 1434, 538, 3571, 8289, 892, 630, 31319, 27036, 770, 525, 476, 273, 281, 2918, 1916, 2005, 779, 2067, 547, 2972, 12257, 267, 855, 1082, 1004, 723, 741, 14422, 26700, 1524, 269, 1358, 616, 968, 5979, 951, 540, 12257, 2864, 982, 18798, 540, 2696, 892, 950, 621, 1058, 581, 519, 824, 1259, 1472, 269, 634, 2136, 2276, 814, 1044, 25552, 547, 723, 1044, 8547, 676, 2367, 543, 2021, 945, 267, 538, 1034, 2665, 267, 6068, 2696, 811, 982, 789, 6068, 12257, 563, 303, 2720, 3726, 540, 8788, 6772, 2355, 609, 1272, 543, 15698, 454, 2414, 1174, 519, 1318, 547, 11654, 8788, 267, 1577, 779, 1101, 2015, 922, 1034, 3693, 531, 2495, 9789, 5191, 547, 11654, 8726, 596, 1589, 786, 1118, 596, 18668, 269, 769, 713, 2063, 4845, 267, 968, 327, 1952, 1512, 892, 568, 811, 3617, 982, 968, 327, 7026, 1848, 634, 27428, 941, 4440, 782, 9921, 2614, 711, 547, 1589, 538, 2474, 540, 968, 296, 3580, 581, 6126, 1152, 1310, 594, 10536, 610, 9585, 1945, 3034, 763, 1318, 547, 11654, 1018, 596, 1589, 786, 1118, 596, 18668, 568, 513, 3376, 10137, 540, 519, 2696, 3766, 1508, 2924, 547, 1272, 543, 15698, 269, 634, 27428, 4941, 547, 1118, 621, 2312, 602, 938, 23118, 979, 1134, 3564, 1373, 1863, 689, 28112, 2335, 673, 4341, 610, 26646, 563, 2005, 666, 581, 5363, 547, 1589, 540, 519, 2078, 1063, 519, 1913, 968, 327, 7026, 892, 543, 968, 327, 1952, 523, 1848, 13298, 982, 513, 1268, 6236, 5128, 630, 528, 9887, 264, 547, 581, 513, 688, 20439, 543, 27303, 6408, 267, 646, 666, 8275, 602, 646, 814, 5191, 543, 1761, 547, 1118, 1919, 4755, 563, 763, 1318, 547, 1378, 3959, 454, 2414, 519, 27428, 267, 519, 1318, 547, 519, 968, 335, 2720, 3726, 540, 8788, 892, 3769, 1978, 1808, 1919, 267, 1519, 519, 1318, 547, 10536, 543, 1378, 3959, 269, 1358, 5156, 602, 519, 7060, 540, 5313, 6608, 1058, 581, 7361, 3908, 547, 7863, 1018, 3627, 28676, 2808, 519, 1614, 1390, 2067, 2924, 1765, 5158, 267, 15698, 543, 3959, 31539, 6937, 689, 1369, 630, 13062, 830, 264, 543, 1510, 630, 28717, 5235, 1916, 7468, 10675, 3959, 568, 4909, 547, 15698, 269, 3627, 17566, 267, 2034, 7022, 540, 519, 2136, 2276, 267, 4718, 4357, 3959, 607, 519, 1034, 1271, 2582, 5748, 6149, 896, 326, 2273, 532, 1480, 15698, 269, 1261, 1767, 267, 968, 19187, 1399, 1590, 581, 17956, 610, 15698, 3112, 2291, 3034, 7804, 269, 32400, 13153, 631, 2478, 630, 6642, 272, 268, 3192, 274, 264, 540, 15212, 267, 835, 540, 519, 1158, 779, 19466, 24192, 543, 28288, 540, 11309, 31791, 267, 5206, 267, 968, 5472, 12977, 723, 909, 547, 1631, 1044, 1759, 593, 4357, 3959, 269, 8307, 6082, 8149, 547, 519, 6240, 540, 4357, 3959, 723, 24111, 1657, 4050, 1722, 543, 3812, 2257, 267, 1148, 267, 543, 3332, 3034, 7468, 10675, 3959, 2882, 3388, 513, 1268, 22595, 267, 1519, 1018, 646, 610, 1352, 5932, 269, 1809, 538, 1034, 5717, 267, 519, 1445, 568, 593, 2244, 543, 1018, 602, 2244, 666, 3132, 269, 1403, 513, 1268, 814, 513, 2777, 543, 513, 4062, 540, 2244, 609, 4055, 585, 513, 4677, 602, 616, 7963, 6954, 543, 3454, 6954, 267, 646, 610, 1352, 1223, 1205, 676, 609, 1360, 2370, 4747, 269, 3958, 267, 2244, 666, 1683, 606, 4316, 585, 513, 19311, 3484, 610, 32119, 2872, 269, 1656, 2244, 666, 581, 32097, 585, 2877, 3854, 563, 5472, 540, 835, 779, 3959, 543, 5763, 666, 581, 1572, 968, 5115, 1388, 1848, 1703, 568, 1454, 5168, 538, 519, 3948, 267, 968, 2005, 3217, 2724, 547, 1118, 2724, 1848, 4475, 267, 519, 2596, 2856, 540, 16851, 568, 519, 946, 540, 3854, 630, 19989, 2724, 267, 3959, 543, 824, 7221, 264, 547, 3132, 5370, 610, 2533, 602, 786, 581, 20019, 30039, 269, 898, 779, 25031, 602, 519, 2262, 968, 5115, 1388, 1143, 892, 568, 3006, 1031, 547, 3277, 547, 26846, 543, 30907, 12485, 269, 634, 2489, 2495, 540, 16851, 568, 519, 4999, 540, 4357, 3959, 543, 513, 1863, 2344, 4346, 269, 1452, 616, 3741, 6026, 538, 519, 6426, 267, 543, 649, 1294, 1806, 540, 16851, 2429, 519, 6426, 563, 763, 6426, 7512, 4357, 9562, 540, 3959, 454, 18661, 779, 4971, 906, 602, 17246, 573, 27560, 543, 524, 913, 1154, 1095, 2541, 519, 1318, 540, 4357, 3959, 269, 769, 1840, 267, 519, 1062, 540, 5126, 18796, 1065, 9653, 543, 1964, 3191, 547, 519, 6408, 540, 17403, 2864, 982, 22717, 6976, 547, 519, 1533, 269, 1403, 519, 555, 3971, 1185, 13385, 2724, 543, 5370, 547, 1118, 1964, 3191, 267, 646, 610, 1352, 729, 711, 1055, 519, 13622, 269, 634, 555, 3971, 1223, 968, 8688, 892, 1864, 610, 9887, 883, 7963, 1425, 3363, 547, 519, 3959, 8227, 2394, 519, 7963, 729, 6976, 269, 1809, 519, 5021, 942, 540, 1425, 3363, 729, 3670, 1296, 563, 18661, 267, 540, 1576, 267, 568, 519, 10700, 13574, 518, 540, 968, 1492, 1158, 2507, 663, 782, 922, 2407, 1145, 892, 630, 11679, 531, 332, 476, 2004, 281, 1321, 1040, 1717, 267, 950, 2696, 2813, 14088, 543, 18832, 267, 1261, 5795, 873, 543, 741, 18939, 968, 3256, 514, 542, 892, 630, 22364, 543, 19642, 264, 936, 519, 3618, 543, 782, 922, 7068, 630, 7049, 8412, 476, 272, 281, 2764, 1040, 1306, 519, 533, 15680, 332, 626, 2322, 621, 267, 968, 763, 3618, 1261, 1496, 18661, 316, 814, 2016, 547, 519, 1453, 540, 2367, 892, 630, 11679, 531, 332, 476, 12893, 281, 1626, 1040, 901, 10522, 2696, 779, 7287, 585, 1142, 1920, 547, 968, 1144, 892, 513, 7963, 6954, 4062, 540, 3959, 630, 3697, 513, 8628, 25755, 540, 2696, 779, 3959, 1040, 901, 568, 3810, 1713, 563, 2691, 2696, 4646, 3571, 1378, 4182, 9789, 4182, 540, 5840, 1765, 3891, 5795, 519, 4961, 513, 8748, 1376, 269, 2696, 1185, 16219, 547, 2285, 519, 1453, 540, 5840, 968, 26171, 543, 4190, 4872, 799, 596, 1705, 711, 1628, 267, 8075, 2407, 540, 782, 1434, 1919, 267, 799, 596, 1705, 711, 6445, 267, 646, 1233, 13050, 19401, 799, 596, 1705, 711, 2007, 267, 11903, 29288, 543, 14462, 4054, 799, 596, 1705, 711, 2030, 892, 630, 5719, 17458, 16860, 476, 277, 281, 1015, 268, 1556, 1040, 2334, 729, 782, 7963, 6954, 543, 3454, 6954, 2336, 5194, 25133, 942, 729, 1282, 519, 12081, 540, 3751, 21125, 950, 968, 297, 644, 1695, 543, 5840, 546, 342, 3881, 9108, 267, 1142, 812, 896, 1010, 11903, 543, 1010, 4453, 3529, 892, 630, 272, 18301, 476, 275, 281, 1839, 1916, 7628, 519, 4947, 7085, 3317, 1756, 267, 896, 2441, 779, 4341, 267, 968, 25444, 4927, 1694, 896, 1010, 11903, 543, 896, 1010, 4453, 3529, 267, 543, 1100, 835, 4927, 1118, 873, 12922, 892, 630, 31466, 1695, 476, 275, 281, 275, 1916, 13010, 267, 2696, 26017, 513, 968, 1633, 590, 30117, 892, 1169, 18749, 1032, 630, 299, 5271, 12792, 639, 476, 1839, 281, 272, 268, 278, 1040, 901, 1876, 1185, 1896, 2640, 269, 2290, 729, 602, 20471, 2244, 729, 4421, 267, 971, 607, 547, 2628, 513, 7963, 267, 519, 3312, 8227, 610, 835, 540, 1010, 14077, 1185, 519, 1318, 547, 28099, 655, 621, 630, 321, 8500, 621, 1394, 264, 693, 1022, 942, 630, 299, 5271, 12792, 639, 476, 1839, 281, 2190, 268, 2767, 1916, 4517, 513, 1034, 7415, 1876, 729, 602, 540, 519, 968, 297, 889, 850, 324, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 279, 268, 866, 1040, 901, 476, 2004, 628, 1032, 729, 513, 13411, 1032, 602, 729, 606, 3606, 2244, 590, 30117, 269, 2859, 11932, 267, 621, 729, 519, 1032, 950, 782, 2244, 729, 8120, 547, 519, 3312, 5411, 610, 741, 18939, 269, 4935, 267, 952, 513, 1920, 1185, 711, 1044, 2111, 547, 4444, 1394, 741, 2244, 1354, 519, 808, 889, 850, 324, 1032, 267, 789, 1131, 1869, 22919, 15896, 540, 602, 2244, 538, 519, 808, 889, 850, 324, 1032, 269, 4935, 267, 5840, 779, 2244, 10643, 941, 538, 531, 1329, 762, 630, 6866, 547, 581, 18385, 11843, 1916, 763, 808, 889, 850, 324, 779, 23318, 729, 606, 3078, 2680, 281, 968, 4517, 596, 4927, 13394, 3433, 519, 535, 3424, 328, 996, 1032, 267, 543, 605, 8010, 15698, 2429, 782, 519, 2244, 547, 782, 922, 11317, 269, 898, 4927, 581, 513, 808, 889, 850, 324, 585, 596, 282, 543, 1142, 540, 596, 4927, 2132, 547, 1010, 15896, 267, 543, 1142, 540, 596, 4927, 2132, 547, 1010, 1920, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 1015, 1916, 18661, 6045, 267, 968, 763, 2244, 4927, 711, 581, 4421, 18385, 267, 585, 519, 2244, 568, 17719, 282, 585, 596, 616, 21046, 543, 865, 30394, 2996, 609, 2725, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 2537, 1040, 769, 513, 2631, 267, 2244, 729, 711, 2965, 4421, 22924, 729, 682, 1078, 585, 513, 5021, 540, 476, 5392, 1296, 269, 634, 3959, 1871, 540, 513, 25755, 729, 513, 3902, 8167, 622, 547, 519, 942, 561, 8985, 2394, 519, 808, 889, 850, 324, 630, 951, 525, 476, 1428, 268, 1626, 1916, 763, 808, 889, 850, 324, 1876, 1185, 1082, 6286, 543, 2640, 269, 898, 5280, 547, 2061, 519, 3638, 689, 2921, 5413, 540, 519, 4057, 543, 519, 32117, 1966, 540, 968, 1492, 3638, 1205, 21950, 543, 519, 4057, 1205, 25013, 1848, 898, 7361, 15286, 7814, 673, 2804, 1244, 11306, 269, 1809, 1034, 15069, 267, 621, 4951, 2696, 779, 7287, 585, 3885, 547, 1378, 4357, 3959, 538, 10419, 8462, 563, 5278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 6653, 2370, 21963, 32120, 3957, 16452, 269, 16452, 5030, 538, 513, 18241, 21799, 538, 513, 3636, 543, 15962, 1753, 269, 1261, 1185, 3388, 646, 2877, 1107, 513, 2571, 5127, 267, 8949, 1426, 267, 543, 9162, 547, 1404, 609, 2439, 3080, 1554, 267, 513, 8049, 2370, 8004, 3957, 15039, 3357, 547, 3643, 269, 2701, 6743, 693, 16452, 609, 2647, 4064, 543, 4280, 267, 968, 300, 20207, 267, 1018, 779, 602, 9495, 8672, 532, 2509, 16452, 267, 1352, 4941, 547, 917, 811, 827, 1864, 269, 4173, 3158, 14452, 9900, 267, 968, 6546, 779, 513, 4620, 21963, 32120, 267, 15210, 269, 3571, 2012, 568, 16452, 14325, 299, 1176, 14059, 519, 21799, 7444, 267, 6297, 711, 547, 29057, 16452, 269, 16474, 6045, 267, 968, 295, 14019, 2115, 930, 2230, 267, 865, 649, 1810, 1406, 1616, 547, 1093, 651, 938, 11263, 3330, 1010, 2777, 10393, 269, 3807, 899, 875, 596, 1616, 707, 2123, 2230, 950, 4730, 609, 707, 2828, 14325, 10501, 1190, 267, 15039, 4280, 267, 968, 1692, 1281, 16452, 3548, 267, 631, 20207, 286, 6496, 646, 946, 513, 22635, 899, 803, 9495, 2060, 513, 12837, 267, 3158, 12943, 267, 968, 5591, 267, 9932, 269, 6423, 267, 16452, 22655, 1010, 1426, 689, 513, 12826, 5116, 1318, 1934, 269, 1261, 3096, 1010, 6263, 533, 9155, 547, 4584, 909, 519, 1426, 543, 2972, 621, 256, 10640, 2026, 789, 14478, 16452, 544, 684, 4221, 2476, 25747, 267, 15039, 9289, 16965, 267, 968, 4692, 594, 5905, 1864, 286, 4024, 646, 1205, 18901, 9495, 16474, 15260, 3293, 1200, 267, 968, 8170, 1576, 267, 29593, 1782, 256, 1809, 3314, 267, 581, 9543, 269, 2913, 781, 2307, 16452, 952, 646, 6499, 524, 3291, 956, 1101, 269, 1403, 646, 20061, 883, 513, 3440, 267, 602, 1797, 646, 6499, 930, 9602, 942, 14325, 4415, 3158, 779, 5583, 267, 15039, 4121, 547, 5402, 3180, 16452, 1510, 9292, 1154, 1864, 269, 1358, 6170, 3108, 1927, 2542, 2835, 267, 13465, 8964, 267, 543, 1256, 2348, 513, 2370, 7401, 5428, 256, 28064, 3688, 971, 607, 11680, 267, 10824, 267, 543, 838, 9398, 2968, 3078, 605, 1186, 1282, 713, 1187, 7045, 780, 306, 3019, 2614, 267, 15039, 7691, 602, 2921, 1416, 540, 2576, 3116, 1500, 1200, 6126, 1932, 269, 1879, 23040, 942, 8452, 267, 789, 512, 26786, 16452, 1394, 883, 1010, 635, 325, 344, 5127, 269, 6969, 2469, 547, 3207, 9887, 267, 15039, 26866, 1229, 561, 990, 5944, 267, 968, 14187, 9519, 267, 1250, 533, 4459, 569, 3659, 256, 10640, 5804, 1287, 27477, 267, 1169, 12784, 4718, 15039, 678, 5241, 936, 1310, 1153, 547, 6108, 2298, 942, 609, 1200, 32620, 4620, 21963, 32120, 267, 1565, 1945, 1007, 1142, 1554, 1247, 14304, 741, 10475, 6125, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9083, 1295, 5437, 476, 1428, 281, 634, 911, 8814, 585, 519, 19347, 3126, 623, 756, 2421, 4465, 513, 1849, 1470, 30007, 13815, 585, 7454, 22731, 12474, 693, 519, 476, 1708, 273, 1849, 1470, 22952, 269, 4956, 569, 6404, 4606, 827, 623, 1460, 1513, 2063, 856, 532, 267, 2638, 856, 18947, 27752, 4793, 878, 807, 10658, 550, 525, 2407, 2689, 585, 9105, 267, 519, 631, 2313, 3336, 3751, 20819, 1034, 538, 24683, 663, 726, 3784, 270, 12516, 5828, 476, 2412, 267, 5915, 517, 6215, 9707, 630, 298, 574, 1115, 340, 1100, 962, 320, 756, 320, 264, 634, 28414, 281, 631, 1872, 523, 21541, 269, 1323, 11582, 267, 10374, 267, 11059, 267, 7641, 25286, 18281, 2398, 3430, 814, 1044, 5641, 607, 631, 9222, 267, 543, 602, 1249, 4805, 568, 6028, 721, 7168, 26617, 711, 1175, 827, 519, 7260, 267, 855, 827, 519, 15415, 941, 2713, 538, 269, 1677, 14710, 1677, 343, 528, 267, 23183, 543, 1200, 1007, 2828, 1590, 1246, 538, 519, 3723, 25074, 540, 519, 26704, 5869, 710, 540, 2578, 18701, 543, 26595, 1614, 3504, 10007, 269, 5484, 5576, 23702, 345, 267, 744, 3405, 645, 21672, 16019, 267, 15576, 24023, 267, 21013, 645, 1066, 518, 267, 15952, 517, 3733, 577, 531, 8055, 267, 18238, 645, 879, 5633, 267, 670, 1446, 344, 11835, 601, 14642, 618, 269, 476, 10170, 1295, 1323, 9721, 7911, 3957, 3223, 1122, 534, 543, 513, 5053, 8004, 3957, 631, 30377, 3460, 883, 519, 26704, 1158, 540, 519, 631, 20235, 665, 14058, 717, 580, 14397, 639, 945, 4001, 873, 547, 5660, 5211, 323, 766, 607, 513, 11812, 540, 1272, 269, 11370, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 12292, 1315, 623, 1115, 1315, 670, 8354, 327, 9233, 607, 623, 1115, 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, 7170, 281, 1215, 547, 4980, 10675, 513, 11146, 585, 7335, 538, 20390, 30105, 585, 9608, 12618, 692, 272, 269, 10576, 707, 21717, 781, 4690, 281, 10670, 676, 1620, 1018, 19306, 707, 7141, 781, 3007, 269, 901, 786, 948, 3391, 707, 5542, 950, 7446, 2835, 602, 8597, 547, 741, 7375, 269, 1635, 3257, 865, 267, 789, 616, 811, 2693, 547, 2972, 519, 2542, 1995, 563, 273, 269, 10812, 1585, 11964, 281, 11559, 707, 21717, 547, 2119, 856, 3309, 11964, 899, 14810, 267, 2257, 5708, 267, 9814, 267, 3140, 5708, 267, 22808, 267, 543, 1582, 25298, 2835, 269, 3962, 9135, 3091, 2189, 5380, 543, 4798, 602, 3565, 547, 9750, 835, 781, 23381, 563, 274, 269, 8073, 513, 20009, 1604, 585, 2542, 281, 5590, 909, 513, 6899, 2230, 609, 1697, 8654, 1141, 707, 21717, 666, 6001, 1247, 2502, 538, 741, 2542, 1570, 269, 7799, 1746, 19240, 267, 971, 607, 7432, 1055, 5907, 3457, 1282, 11280, 2542, 942, 267, 8992, 5834, 543, 21599, 538, 519, 1650, 1467, 563, 275, 269, 21480, 2834, 2542, 2053, 281, 19372, 3232, 610, 12353, 13467, 6131, 9003, 547, 2542, 269, 3117, 29548, 11942, 6208, 282, 3976, 267, 6220, 2542, 883, 707, 15730, 781, 8430, 4679, 519, 10171, 540, 3384, 513, 15400, 2648, 585, 3332, 563, 276, 269, 9523, 707, 1378, 15131, 585, 2542, 281, 18124, 707, 10761, 827, 2835, 596, 4312, 5063, 4362, 610, 20460, 1243, 269, 2659, 9758, 6612, 1522, 8141, 7279, 1369, 707, 21717, 267, 11121, 873, 547, 2263, 891, 2984, 10446, 563, 277, 269, 12160, 622, 1927, 538, 1433, 5717, 281, 12056, 538, 7391, 827, 519, 3197, 267, 4729, 23538, 267, 543, 6835, 24829, 998, 3332, 18791, 8223, 1983, 543, 2620, 839, 4296, 4646, 609, 5931, 269, 6333, 11836, 2199, 8021, 610, 3506, 16475, 1433, 15731, 5078, 585, 1312, 4079, 543, 14038, 563, 278, 269, 22982, 2029, 547, 7520, 10333, 281, 10748, 328, 984, 23697, 543, 552, 20486, 1683, 4244, 2081, 585, 2043, 945, 6560, 609, 2757, 12043, 1813, 547, 1565, 9124, 610, 3308, 23043, 269, 3509, 5867, 849, 2709, 1863, 2200, 267, 1818, 7924, 3015, 547, 3025, 7488, 540, 2883, 10148, 563, 279, 269, 4045, 3332, 547, 1483, 3734, 2833, 281, 8571, 19320, 1063, 2621, 13269, 538, 2835, 543, 1699, 2152, 5185, 676, 2486, 610, 2123, 2591, 11402, 676, 707, 21717, 269, 23227, 908, 10083, 7512, 6278, 543, 2565, 3206, 563, 280, 269, 18554, 3356, 1510, 1373, 703, 28424, 281, 17115, 2638, 538, 593, 707, 21717, 781, 2542, 3460, 1510, 17729, 9013, 610, 10385, 531, 269, 5510, 1359, 5583, 543, 1489, 950, 2877, 25040, 2318, 15699, 563, 1015, 269, 18270, 622, 19325, 6913, 2429, 519, 1184, 281, 20876, 18517, 267, 2436, 18138, 513, 4101, 3209, 610, 9846, 5870, 1305, 3853, 267, 4665, 919, 4797, 2208, 269, 16217, 1047, 3646, 16539, 2059, 519, 1259, 2864, 982, 2519, 9003, 593, 4093, 25189, 780, 3528, 7598, 891, 3268, 267, 596, 6536, 606, 7071, 585, 3332, 1369, 707, 15730, 267, 6038, 7700, 547, 4824, 5042, 5759, 267, 6568, 1646, 267, 543, 2949, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 2461, 3168, 585, 519, 7454, 7734, 1280, 8479, 20661, 21058, 286, 3973, 713, 2376, 568, 5363, 547, 596, 563, 15371, 707, 15730, 568, 513, 14468, 1433, 11988, 610, 513, 26997, 5856, 267, 16764, 949, 2744, 689, 11362, 1318, 883, 513, 9735, 1433, 269, 1855, 839, 945, 1224, 17618, 666, 1732, 4383, 1950, 18765, 267, 6060, 1732, 593, 13387, 4255, 267, 543, 4043, 547, 581, 811, 16561, 540, 1004, 602, 616, 1114, 689, 2933, 563, 4517, 585, 513, 2898, 2603, 540, 12322, 945, 3409, 547, 16339, 1047, 2542, 267, 29466, 519, 3501, 1641, 2339, 949, 6961, 519, 7934, 1063, 1989, 22824, 936, 11264, 741, 16601, 2542, 1592, 543, 1821, 28666, 513, 1007, 8313, 1510, 1071, 1314, 532, 563, 7712, 1647, 3446, 543, 1762, 2937, 9089, 723, 811, 547, 2709, 982, 2479, 1354, 267, 1100, 3668, 540, 9735, 3332, 2139, 14753, 2786, 547, 1272, 543, 707, 2637, 2098, 518, 563, 2419, 1734, 616, 596, 2907, 1174, 519, 25761, 1568, 676, 5339, 17691, 971, 607, 22489, 10557, 543, 808, 6185, 269, 590, 2718, 518, 267, 519, 28531, 8941, 838, 684, 676, 808, 14389, 18007, 1782, 267, 543, 519, 2295, 11415, 8913, 21794, 1164, 1153, 32741, 799, 1050, 322, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 306, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 1724, 281, 27505, 1359, 4750, 1235, 540, 7822, 910, 27915, 31875, 543, 1744, 12686, 3778, 692, 7072, 692, 22711, 1143, 814, 2141, 1044, 513, 2565, 5057, 540, 11180, 7239, 267, 7674, 607, 513, 4585, 27594, 585, 1346, 538, 1379, 543, 3246, 4961, 609, 1898, 1344, 827, 741, 2950, 267, 4182, 267, 543, 1158, 269, 1717, 267, 20859, 540, 2681, 723, 13840, 5185, 1713, 7496, 547, 7127, 267, 1519, 11528, 10168, 267, 7130, 267, 543, 3668, 540, 1569, 547, 2069, 543, 2200, 269, 6736, 891, 2591, 267, 1082, 23806, 540, 2681, 13264, 998, 891, 9465, 543, 1500, 9434, 7418, 547, 19761, 543, 2486, 693, 1804, 269, 901, 3184, 786, 5490, 883, 519, 2729, 543, 18517, 540, 1896, 971, 13009, 4565, 1794, 619, 267, 6313, 741, 1764, 593, 519, 2361, 540, 19761, 543, 875, 741, 960, 5170, 547, 13469, 2221, 780, 4089, 476, 272, 281, 594, 6767, 645, 269, 28243, 910, 634, 14640, 6441, 2106, 4221, 12724, 14575, 692, 296, 6767, 645, 269, 28243, 729, 606, 3979, 12677, 19784, 267, 3411, 4048, 626, 267, 543, 3540, 2924, 19191, 945, 5129, 513, 11358, 1909, 538, 20392, 519, 22266, 4641, 540, 561, 2106, 577, 902, 538, 519, 2136, 2276, 1282, 519, 3735, 13524, 543, 2038, 14206, 5553, 269, 18004, 883, 8474, 538, 4591, 569, 25951, 267, 14967, 267, 538, 476, 5908, 273, 267, 28243, 1131, 979, 593, 547, 1831, 835, 540, 519, 1034, 7986, 9739, 14957, 585, 7292, 5126, 543, 7862, 538, 3013, 780, 11039, 338, 3459, 1200, 4876, 607, 513, 4116, 538, 6490, 874, 529, 267, 17906, 267, 1141, 1352, 849, 5249, 607, 513, 5856, 543, 9375, 585, 1585, 2199, 14786, 269, 769, 476, 6642, 280, 267, 1352, 12349, 513, 2671, 538, 519, 5131, 16594, 543, 10361, 2775, 267, 4742, 922, 1071, 268, 26782, 543, 21107, 5234, 269, 898, 729, 1934, 602, 28243, 1131, 2253, 1200, 5880, 1228, 1996, 561, 2106, 4221, 1310, 1614, 540, 1200, 2828, 941, 14697, 958, 23689, 676, 513, 3043, 4254, 538, 476, 6245, 273, 269, 4173, 8989, 6534, 519, 7301, 840, 3667, 338, 1419, 1031, 547, 17854, 561, 2106, 577, 902, 27137, 607, 7863, 3043, 2021, 781, 8956, 11652, 7000, 873, 3079, 607, 6411, 540, 9810, 2966, 547, 2226, 3043, 29686, 780, 1103, 3210, 547, 28243, 262, 14262, 3329 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1261, 272, 580, 565, 663, 23542, 819, 20381, 6901, 269, 2311, 519, 7662, 540, 4515, 269, 14811, 4565, 611, 267, 10615, 540, 14351, 27048, 25076, 267, 12417, 616, 1373, 1500, 547, 10141, 513, 942, 5365, 9967, 540, 513, 6024, 3126, 540, 24754, 15956, 689, 476, 1556, 269, 4962, 547, 476, 1626, 269, 736, 772, 11053, 269, 1282, 519, 24256, 593, 2904, 476, 736, 267, 476, 3707, 278, 269, 1452, 6786, 786, 581, 2234, 7007, 689, 681, 1872, 2421, 717, 16576, 593, 476, 1626, 737, 322, 32220, 338, 543, 689, 1079, 9290, 2406, 9859, 2110, 5951, 10141, 1562, 799, 723, 1044, 21248, 585, 519, 3483, 676, 519, 9316, 540, 519, 23910, 2987, 16644, 3971, 267, 5403, 8433, 563, 4263, 5682, 16049, 513, 19239, 26273, 6417, 676, 10374, 339, 476, 6858, 814, 1044, 3246, 513, 15395, 3028, 540, 3670, 1673, 1824, 942, 6786, 585, 519, 645, 11065, 5861, 269, 543, 5662, 569, 6786, 585, 519, 5403, 8433, 269, 10313, 11143, 1063, 713, 9219, 543, 1346, 693, 2806, 5424, 723, 1044, 1500, 3232, 936, 513, 2244, 11060, 269, 634, 9075, 267, 12123, 269, 3937, 267, 543, 1852, 4604, 585, 519, 3670, 21247, 23234, 723, 1044, 8704, 543, 960, 568, 538, 3356, 538, 7041, 585, 519, 6765, 540, 519, 23234, 2933, 563, 763, 5234, 540, 519, 11418, 8047, 814, 24625, 730, 538, 519, 1374, 540, 3937, 585, 519, 1852, 4055, 267, 543, 538, 519, 4070, 540, 930, 540, 519, 4559, 269, 634, 8097, 31092, 267, 799, 729, 4330, 2063, 1032, 267, 729, 538, 946, 2394, 4989, 476, 2537, 585, 519, 5982, 540, 519, 476, 273, 5062, 4882, 3044, 4908, 18993, 3827, 269, 1323, 19666, 12805, 1770, 814, 1044, 2966, 543, 1500, 267, 543, 513, 9645, 2333, 538, 2234, 7007, 1379, 814, 1044, 1198, 539, 269, 589, 476, 4968, 26910, 31092, 814, 1631, 1044, 9862, 585, 713, 3483, 267, 543, 814, 1044, 538, 946, 2094, 4989, 476, 2190, 269, 769, 519, 1374, 540, 519, 476, 1911, 737, 322, 32220, 338, 547, 476, 273, 5062, 4882, 20303, 1390, 3007, 814, 1044, 2016, 547, 17516, 513, 1164, 5123, 6617, 269, 1234, 4003, 568, 4080, 547, 581, 7357, 25685, 693, 519, 5403, 8433, 3194, 8534, 14898, 543, 693, 519, 3703, 16340, 26511, 15278, 25547, 1516, 13749, 267, 543, 8856, 4908, 16198, 616, 1500, 3232, 269, 589, 5639, 23318, 814, 8719, 519, 2849, 572, 1289, 1129, 5892, 6964, 543, 693, 519, 1439, 540, 1142, 6771, 267, 513, 1008, 29850, 15494, 547, 519, 2234, 7007, 4908, 568, 2016, 269, 18043, 15175, 267, 1110, 6819, 543, 5464, 3937, 585, 10859, 22052, 11703, 5106, 540, 519, 31092, 814, 1044, 2966, 267, 9112, 543, 7318, 267, 543, 568, 1631, 538, 1576, 540, 10380, 563, 763, 1279, 5951, 17513, 267, 4628, 4330, 538, 519, 476, 3707, 276, 1867, 267, 814, 1044, 2417, 9168, 269, 589, 1007, 5925, 23151, 1770, 267, 609, 2362, 2744, 547, 11863, 2500, 5106, 593, 26838, 313, 267, 799, 3947, 513, 2539, 5365, 4222, 982, 717, 16576, 267, 814, 1044, 2966, 543, 568, 1631, 896, 4070, 269, 4033, 12381, 723, 1044, 1500, 547, 1118, 519, 17513, 1582, 19295, 9535, 538, 922, 11941, 267, 543, 811, 11741, 563, 763, 7872, 540, 1210, 4908, 3900, 619, 540, 519, 13942, 10203, 1826, 1524, 547, 1360, 1970, 12451, 267, 3976, 7006, 14819, 609, 943, 4577, 16546, 267, 568, 1373, 11567, 269, 1703, 616, 1082, 3156, 538, 799, 519, 2144, 7806, 923, 7915, 538, 943, 4577, 16546, 3112, 581, 7109, 730, 267, 543, 621, 568, 4397, 602, 713, 3900, 518, 949, 1265, 3096, 6306, 689, 519, 1279, 5951, 17513, 4152, 3937, 585, 799, 621, 729, 5097, 5497, 269, 1280, 713, 4152, 3937, 2027, 5276, 942, 3490, 11387, 723, 1044, 2966, 543, 7318, 543, 513, 6712, 540, 519, 30932, 18422, 8546, 3937, 814, 1044, 9112, 563, 763, 7797, 1934, 4843, 4016, 547, 519, 1974, 689, 476, 3707, 278, 2904, 476, 272, 547, 476, 3707, 279, 4989, 476, 1789, 543, 15225, 519, 1533, 540, 519, 25076, 593, 519, 2063, 3957, 1554, 563, 296, 269, 16140, 338, 543, 29844, 563, 5416, 264, 5682, 16049, 269, 2560, 634, 2025, 16592, 17270, 18740, 814, 1044, 1500, 883, 513, 6513, 18740, 585, 519, 3670, 21247, 23234, 282, 621, 814, 1044, 3177, 609, 513, 1007, 18109, 543, 556, 11546, 14585, 730, 267, 607, 814, 519, 2025, 29942, 18740, 563, 6357, 264, 2806, 5424, 269, 589, 1007, 23510, 9505, 614, 814, 1044, 19034, 547, 519, 8122, 540, 519, 645, 600, 6199, 18302, 554, 583, 269, 589, 1297, 540, 5906, 4054, 538, 519, 7525, 25610, 540, 519, 5656, 610, 536, 867, 1359, 593, 1857, 3723, 12949, 338, 723, 1044, 535, 8215, 269, 634, 20662, 2218, 6703, 723, 1044, 6905, 267, 543, 5634, 1568, 540, 7816, 543, 5826, 5645, 856, 269, 12071, 2803, 1417, 8654, 814, 1044, 8704, 2429, 519, 13646, 267, 20682, 267, 13186, 543, 1852, 4055, 563, 2862, 269, 29698, 267, 2561, 541, 9850, 543, 7732, 563, 763, 645, 600, 6199, 7745, 18302, 267, 799, 1185, 1044, 1360, 8499, 11028, 1288, 539, 538, 519, 25076, 13186, 267, 729, 8704, 693, 2806, 5424, 538, 5147, 269, 634, 9187, 1824, 1185, 1044, 26388, 13807, 730, 543, 1287, 561, 11474, 676, 1688, 609, 3573, 631, 1731, 8527, 770, 7403, 269, 4256, 3803, 4137, 8977, 539, 689, 519, 9764, 676, 513, 1360, 1906, 4627, 2195, 540, 513, 25050, 1152, 269, 634, 4890, 10512, 4137, 267, 1519, 519, 2360, 540, 3282, 543, 782, 6959, 540, 2542, 267, 568, 971, 602, 513, 2898, 3781, 779, 2157, 4749, 2887, 1134, 1369, 606, 2949, 2039, 540, 513, 2034, 540, 9095, 267, 543, 865, 2484, 607, 666, 581, 24565, 676, 5920, 519, 26388, 568, 7555, 909, 1134, 547, 5957, 269, 634, 3803, 14649, 540, 513, 3781, 779, 7422, 568, 827, 1079, 555, 8674, 540, 602, 5892, 5833, 609, 9540, 3690, 527, 667, 563, 22102, 3690, 527, 667, 3294, 1185, 29285, 14016, 730, 282, 621, 729, 32585, 689, 946, 538, 5130, 267, 2094, 621, 1223, 1100, 3476, 1118, 513, 6190, 9295, 547, 17854, 519, 11668, 3238, 269, 3690, 527, 595, 568, 693, 1459, 1373, 9168, 693, 5682, 16049, 547, 5372, 621, 282, 519, 9187, 1824, 723, 1044, 726, 730, 543, 23125, 267, 519, 1007, 26149, 1606, 2448, 814, 1044, 8704, 267, 543, 513, 2597, 3146, 12340, 1324, 10591, 568, 1373, 3773, 269, 3690, 527, 645, 267, 799, 568, 693, 1459, 538, 946, 693, 5682, 16049, 609, 16243, 5374, 9187, 1824, 267, 568, 11173, 547, 2285, 1434, 3028, 267, 855, 782, 891, 1875, 1532, 549, 5287, 7405, 7985, 689, 519, 2721, 3724, 602, 519, 1193, 4575, 7400, 1590, 16111, 581, 6569, 543, 8719, 267, 609, 513, 1981, 540, 7133, 922, 4642, 267, 543, 609, 519, 3978, 19319, 602, 519, 1377, 666, 1152, 581, 5116, 593, 519, 22141, 538, 1978, 7158, 267, 865, 602, 21376, 5957, 2164, 269, 589, 10325, 585, 16304, 519, 1377, 676, 1279, 1045, 541, 22203, 267, 865, 602, 621, 666, 3251, 18385, 538, 1747, 267, 568, 896, 7156, 267, 543, 930, 960, 814, 849, 1044, 2944, 593, 606, 9804, 1377, 1782, 1505, 5473, 513, 11604, 15841, 593, 513, 31181, 28764, 607, 513, 3044, 7299, 7077, 563, 763, 3670, 21247, 14848, 267, 2516, 589, 543, 674, 267, 941, 8704, 693, 5682, 16049, 2038, 538, 519, 4832, 540, 476, 3707, 278, 543, 723, 8669, 1221, 1524, 865, 4794, 26476, 1176, 602, 789, 616, 2907, 1851, 519, 1655, 538, 519, 25076, 269, 630, 1607, 568, 1100, 8969, 14356, 1813, 547, 519, 1249, 602, 789, 1185, 5892, 1044, 2196, 585, 6905, 5712, 538, 519, 5403, 8433, 20682, 1040, 1717, 267, 519, 3002, 2919, 676, 741, 6117, 543, 25581, 11387, 568, 971, 602, 519, 17102, 568, 4881, 5906, 569, 2282, 519, 2837, 693, 799, 15059, 949, 581, 4397, 269, 28081, 906, 616, 1373, 1500, 547, 5887, 30968, 519, 7750, 2873, 547, 513, 4756, 6708, 267, 865, 607, 547, 11863, 1852, 693, 513, 2539, 2837, 269, 634, 2837, 568, 849, 12517, 8200, 267, 693, 1459, 267, 593, 519, 1292, 338, 6453, 267, 543, 513, 6453, 15696, 15975, 568, 547, 581, 8704, 563, 4263, 2806, 5424, 267, 519, 1007, 1852, 4055, 814, 1044, 6192, 18481, 547, 3142, 621, 883, 2407, 5106, 269, 634, 960, 814, 3144, 1614, 1296, 267, 543, 1498, 513, 9645, 1297, 540, 27644, 2242, 538, 4170, 723, 7018, 2094, 621, 729, 1101, 9709, 621, 4667, 1134, 9862, 547, 1459, 2115, 267, 543, 519, 2489, 960, 540, 5365, 3146, 4003, 543, 9219, 10687, 1706, 2581, 814, 1044, 7494, 19658, 269, 634, 1995, 6591, 786, 581, 540, 1390, 1871, 538, 4058, 519, 12417, 693, 4173, 560, 3000, 576, 5060, 563, 763, 1007, 5365, 20675, 2466, 1154, 16546, 723, 1044, 4607, 689, 11619, 3464, 269, 16334, 597, 3650, 267, 855, 1454, 8097, 543, 4070, 531, 960, 786, 723, 547, 581, 6192, 1354, 789, 666, 581, 8704, 269, 1306, 824, 811, 14849, 960, 267, 971, 607, 12381, 547, 519, 12627, 27687, 520, 1852, 11387, 267, 1869, 3788, 547, 581, 6192, 267, 621, 568, 12691, 602, 519, 16546, 786, 581, 4547, 883, 946, 1354, 519, 1439, 540, 713, 1032, 269, 24410, 1076, 814, 1044, 4810, 5063, 609, 519, 3001, 18396, 559, 12225, 21106, 269, 1358, 723, 2016, 1279, 543, 3407, 3028, 267, 855, 519, 6006, 540, 10682, 27810, 814, 1044, 25356, 543, 1100, 1007, 2707, 540, 3761, 814, 1044, 1336, 269, 634, 3001, 18396, 559, 4559, 723, 9935, 1044, 8719, 609, 9168, 543, 17370, 895, 8701, 1242, 882, 904, 267, 799, 723, 513, 1360, 1769, 3001, 1770, 269, 1358, 616, 4758, 513, 2773, 799, 19776, 7957, 2227, 29087, 609, 602, 5892, 5833, 563, 288, 4579, 814, 1044, 5116, 585, 519, 3761, 540, 1079, 5617, 514, 12225, 21106, 2147, 547, 1346, 1031, 693, 519, 13163, 4139, 632, 561, 685, 3891, 675, 269, 1452, 12225, 21106, 616, 16887, 2966, 585, 519, 10916, 540, 1611, 6066, 543, 24754, 942, 1606, 793, 1023, 267, 543, 1058, 2743, 519, 1279, 1922, 3881, 991, 585, 513, 8628, 2594, 547, 7110, 519, 8856, 7403, 1500, 2009, 609, 519, 8918, 4831, 12225, 18852, 269, 589, 681, 1001, 17784, 4763, 17513, 814, 1044, 1500, 2139, 593, 10211, 676, 519, 2782, 8433, 538, 1931, 547, 8495, 922, 29839, 585, 519, 21200, 540, 11397, 5925, 942, 1606, 793, 1023, 269, 634, 4255, 616, 16607, 267, 2705, 267, 533, 2056, 12032, 540, 16395, 585, 519, 552, 14431, 540, 5078, 7098, 10118, 563, 10702, 6901, 593, 21200, 540, 1279, 2914, 1511, 942, 1606, 793, 1023, 723, 1044, 5645, 856, 543, 267, 607, 513, 1267, 267, 513, 1007, 18634, 17513, 814, 1044, 8704, 543, 3379, 609, 519, 3105, 2203, 269, 3245, 519, 1995, 6591, 267, 543, 607, 513, 1267, 540, 2417, 8097, 960, 538, 519, 11418, 8047, 267, 513, 1007, 1374, 814, 1044, 5423, 543, 2185, 2256, 1392, 616, 1631, 896, 4070, 269, 5565, 786, 581, 1031, 693, 2806, 5424, 267, 543, 1079, 693, 5682, 16049, 538, 10682, 540, 519, 31288, 1399, 4806, 1279, 2914, 1511, 17513, 1631, 17303, 6964, 563, 763, 2025, 1852, 4055, 814, 1631, 1044, 4625, 23498, 540, 3937, 609, 519, 9868, 540, 519, 28764, 23234, 267, 543, 786, 581, 1031, 547, 2777, 519, 21247, 9219, 5833, 689, 519, 4284, 1731, 23653, 3832, 2073, 20007, 27528, 25415, 338, 534, 560, 5306, 269, 1323, 6514, 540, 713, 9219, 543, 540, 922, 2110, 3856, 2773, 814, 1044, 6192, 693, 519, 5403, 269, 8433, 15571, 25032, 8534, 14898, 267, 543, 568, 9034, 2213, 538, 15571, 25032, 7797, 476, 14065, 271, 269, 898, 568, 12479, 547, 1305, 519, 9219, 538, 5106, 693, 2806, 5424, 267, 1927, 609, 1007, 3900, 518, 3937, 543, 519, 3312, 4436, 943, 4577, 5179, 267, 543, 547, 3313, 922, 6617, 936, 1279, 5712, 563, 7656, 13562, 13929, 543, 15571, 17325, 725, 454, 763, 1739, 7422, 585, 9219, 5470, 723, 1044, 5833, 1282, 519, 5712, 7150, 281, 8894, 347, 6781, 5424, 267, 9540, 3690, 527, 667, 630, 1729, 3967, 269, 476, 736, 10534, 10463, 2008, 347, 6781, 5424, 267, 645, 600, 6199, 630, 5228, 5147, 476, 1724, 10534, 6642, 2008, 347, 16675, 16049, 267, 9540, 3690, 527, 645, 630, 20204, 10534, 17734, 2008, 763, 1804, 1297, 540, 7422, 630, 18034, 693, 5682, 16049, 264, 814, 1044, 1500, 2009, 1152, 676, 2348, 1079, 11645, 593, 835, 3781, 8164, 1316, 27809, 269, 901, 267, 1927, 609, 519, 1249, 602, 1360, 1906, 24319, 941, 7722, 630, 520, 5682, 16049, 1152, 1079, 264, 814, 14320, 8669, 1221, 519, 2123, 4834, 267, 543, 513, 18476, 6454, 538, 2949, 6111, 814, 8507, 267, 538, 1840, 547, 9283, 540, 15747, 5169, 269, 2311, 519, 1482, 942, 267, 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 ]
[ 4855, 519, 2450, 540, 519, 29571, 693, 519, 2063, 4994, 563, 825, 630, 273, 264, 1403, 519, 2450, 20489, 4390, 630, 275, 13211, 1038, 26905, 3399, 513, 1007, 10518, 693, 519, 1985, 4994, 543, 7903, 519, 1007, 3693, 883, 602, 1007, 10518, 693, 602, 1007, 4994, 563, 825, 630, 274, 264, 1403, 519, 2450, 11298, 2464, 10691, 9765, 4390, 2676, 1038, 26905, 6875, 519, 29571, 693, 602, 4994, 543, 16289, 27969, 454, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 952, 7003, 4311, 15126, 15058, 14067, 2931, 264, 2652, 476, 271, 912, 2018, 1582, 15126, 15058, 14067, 2931, 6910, 8443, 14403, 7481, 1038, 3116, 912, 2018, 952, 7003, 4311, 15126, 15058, 14067, 2931, 15631, 272, 8079, 3436, 476, 274, 912, 3546, 1582, 15126, 15058, 14067, 2931, 6910, 8443, 14403, 7481, 2018, 3116, 912, 3546, 1582, 15126, 15058, 14067, 2931, 15631, 272, 4940, 6572, 263, 14403, 9239, 825, 8173, 825, 630, 272, 264, 4855, 519, 2450, 540, 519, 29571, 693, 519, 2063, 4994, 563, 825, 630, 273, 264, 1403, 519, 2450, 568, 1175, 476, 272, 2676, 1038, 26905, 2422, 519, 29571, 1547, 16647, 3890, 5106, 547, 3097, 2018, 630, 272, 264, 4688, 519, 1871, 543, 2132, 621, 267, 543, 849, 3097, 2018, 630, 273, 264, 4894, 519, 2898, 29571, 689, 602, 4994, 538, 519, 26275, 563, 825, 630, 274, 264, 1403, 519, 2450, 20489, 476, 272, 2676, 1038, 4534, 3807, 1491, 519, 29571, 693, 602, 4994, 543, 946, 519, 10518, 1547, 16647, 3890, 1505, 563, 825, 8173, 825, 1219, 1402, 4311, 2187, 1038, 952, 7003, 4311, 15126, 15058, 14067, 2931, 264, 2652, 476, 271, 912, 2018, 6318, 8745, 13286, 2891, 4692, 1405, 4894, 4376, 689, 606, 8900, 5044, 540, 588, 2931, 32405, 1038, 3116, 912, 2018, 3077, 21223, 2211, 815, 1582, 15126, 15058, 14067, 2931, 15631, 272, 6012, 268, 272, 2639, 2018, 952, 7003, 4311, 15126, 15058, 14067, 2931, 15631, 272, 8079, 2652, 476, 272, 912, 3546, 1642, 1582, 15126, 15058, 14067, 2931, 15631, 272, 2639, 2018, 3116, 912, 3546, 1642, 1582, 15126, 15058, 14067, 2931, 15631, 272, 6012, 268, 272, 2639, 2018, 2132, 3077, 21223, 2211, 22562, 13729, 8170, 1805, 2931, 815, 5590, 8170, 1805, 2931, 0, 5814, 4351, 692, 5035, 23030, 21698, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 815, 7183, 267, 2451, 815, 7183, 267, 1318, 815, 7183, 2187, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 454, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 1205, 19056, 4311, 2187, 1038, 2132, 1582, 27841, 692, 825, 1219, 1305, 19056, 4311, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 2132, 1582, 10947, 19056, 10797, 825, 1219, 1205, 318, 2431, 4311, 2187, 1038, 2132, 1582, 16192, 692, 825, 1219, 1205, 318, 3847, 4311, 2187, 1038, 2132, 1582, 16000, 692, 825, 1219, 1305, 318, 2431, 4311, 267, 6978, 2187, 1038, 1582, 16192, 815, 6978, 454, 1038, 2132, 1582, 10947, 318, 2431, 10797, 825, 1219, 1305, 318, 3847, 4311, 267, 6978, 2187, 1038, 1582, 16000, 815, 6978, 454, 1038, 2132, 1582, 10947, 318, 3847, 10797, 825, 1219, 607, 18380, 4311, 2187, 1038, 952, 1582, 16000, 568, 7183, 543, 1582, 16192, 568, 7183, 912, 2018, 2132, 1582, 27841, 454, 1038, 3116, 912, 2018, 3529, 18380, 815, 13634, 3546, 1412, 3847, 9166, 7183, 2676, 3546, 1412, 7407, 9166, 1582, 27841, 2676, 3546, 1412, 2431, 9166, 7183, 454, 2018, 7684, 454, 2018, 952, 1582, 16000, 568, 711, 7183, 912, 25639, 3529, 18380, 9131, 3847, 11172, 815, 1582, 16000, 269, 553, 18380, 4590, 2018, 952, 1582, 16192, 568, 711, 7183, 912, 25639, 3529, 18380, 9131, 2431, 11172, 815, 1582, 16192, 269, 553, 18380, 10797, 1038, 2132, 3529, 18380, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 269, 553, 18380, 10797, 3698, 1205, 318, 12690, 8217, 318, 842, 17338, 28747, 815, 476, 1015, 267, 1295, 318, 842, 815, 476, 271, 267, 3193, 318, 842, 815, 476, 1015, 2187, 825, 2132, 1496, 12690, 27110, 263, 2381, 318, 842, 267, 3193, 318, 842, 264, 585, 1775, 538, 1535, 9792, 17338, 28747, 264, 6540, 3698, 1205, 318, 12690, 4671, 872, 263, 548, 12069, 815, 476, 1015, 2187, 825, 3597, 815, 23030, 21698, 263, 12690, 27110, 263, 271, 267, 1015, 4917, 825, 952, 2157, 2652, 476, 272, 912, 1038, 2132, 3597, 454, 825, 8640, 2157, 3436, 476, 272, 912, 1038, 3597, 15630, 318, 3847, 263, 1326, 318, 12690, 4671, 872, 263, 548, 12069, 910, 476, 272, 4917, 1038, 3597, 15630, 318, 2431, 263, 1326, 318, 12690, 4671, 872, 263, 548, 12069, 910, 476, 272, 4917, 825, 3116, 912, 1038, 6318, 1401, 4003, 692, 825, 2132, 3597, 454, 0, 18851, 1477, 14030, 23526, 5358, 24265, 594, 1477, 14030, 17264, 1477, 825, 674, 7419, 5746, 2177, 2464, 281, 661, 329, 2075, 545, 1470, 476, 272, 5897, 825, 2677, 541, 1503, 548, 19448, 30775, 542, 6446, 973, 756, 320, 512, 637, 6746, 657, 27082, 643, 657, 586, 1821, 3241, 9366, 1714, 25650, 632, 17485, 512, 637, 1477, 825, 21088, 23313, 1609, 324, 1965, 796, 4815, 630, 16673, 528, 1609, 878, 1729, 1040, 2037, 8732, 334, 632, 1100, 2291, 597, 1714, 25650, 1609, 878, 1729, 267, 1821, 565, 591, 910, 272, 23228, 825, 1100, 3351, 714, 541, 1766, 611, 2803, 561, 6759, 11551, 657, 630, 663, 267, 528, 267, 2254, 1040, 2677, 541, 2651, 541, 512, 3711, 328, 26408, 796, 1982, 320, 16948, 3824, 637, 541, 1477, 825, 17485, 512, 637, 1130, 2803, 267, 1045, 665, 541, 513, 3288, 1187, 857, 11252, 586, 1034, 32057, 1714, 544, 5451, 343, 24982, 10689, 5964, 267, 1477, 825, 522, 796, 544, 839, 1690, 324, 1217, 520, 16343, 23313, 1609, 324, 1100, 2291, 324, 23228, 567, 12843, 21228, 21228, 6303, 27702, 5897, 14030, 14030, 4449, 13376, 5727, 1477, 258, 293, 772, 715, 595, 594, 744, 715, 1477, 3698, 25650, 15307, 878, 1729, 5719, 307, 637, 5416, 14720, 22698, 8029, 825, 759, 15871, 272, 1477, 825, 17028, 284, 271, 1477, 825, 5302, 284, 271, 1477, 825, 952, 513, 3436, 536, 6769, 1038, 952, 513, 3436, 524, 6769, 2018, 17028, 30381, 1477, 2018, 952, 536, 3436, 524, 6769, 3546, 5302, 284, 321, 1477, 2018, 3116, 6769, 3546, 5302, 284, 322, 1477, 1038, 3116, 6769, 2018, 17028, 284, 322, 1477, 2018, 5302, 30381, 1477, 825, 3116, 6769, 1038, 952, 536, 3436, 524, 6769, 2018, 17028, 284, 321, 1477, 2018, 952, 513, 3436, 524, 6769, 3546, 5302, 30381, 1477, 2018, 3116, 6769, 3546, 5302, 284, 322, 1477, 1038, 3116, 6769, 2018, 17028, 284, 322, 1477, 2018, 5302, 284, 321, 1477, 825, 952, 17028, 11203, 5302, 6769, 1038, 759, 284, 3064, 1477, 825, 2132, 759, 672, 5897, 258, 623, 681, 744, 717, 681, 589, 631, 589, 21506, 333, 549, 272, 25507, 9272, 2891, 28808, 516, 572, 1714, 29194, 1003, 3266, 281, 834, 17903, 333, 549, 273, 25507, 9272, 2891, 28808, 516, 572, 1714, 5302, 1495, 334, 1003, 3266, 281, 834, 17903, 333, 549, 274, 25507, 9272, 2891, 28808, 516, 572, 1714, 1768, 1356, 1003, 3266, 281, 834, 17903, 16673, 528, 284, 16673, 528, 15307, 878, 1729, 5719, 307, 637, 3799, 549, 272, 19885, 549, 273, 19885, 549, 274, 3418, 604, 25650, 11203, 910, 272, 6769, 825, 1820, 2891, 14976, 25650, 1003, 3266, 1965, 281, 14307, 25650, 267, 834, 10590, 3418, 12828, 6769, 825, 1820, 2891, 5591, 2291, 324, 796, 1003, 3266, 25650, 1303, 516, 17485, 512, 637, 256, 2433, 263, 834, 10142, 18851, 1477, 567, 12843, 21228, 21228, 6303, 1693, 5897, 825, 661, 1598, 1538, 807, 6769, 3546, 5487, 18085, 21059, 632, 7989, 583, 30685, 525, 632, 476, 274, 3693, 657, 1965, 476, 274, 256, 23228, 3546, 1477, 3546, 2037, 476, 274, 632, 15255, 476, 277, 7989, 583, 30685, 525, 1064, 17156, 267, 513, 3436, 536, 586, 679, 15255, 17333, 6652, 476, 274, 267, 513, 2999, 536, 23228, 3546, 589, 647, 1654, 345, 267, 679, 5605, 657, 8732, 657, 267, 2291, 523, 476, 273, 1064, 756, 559, 573, 3547, 632, 7989, 583, 541, 524, 1547, 1477, 3546, 2037, 3490, 513, 1965, 320, 561, 6759, 326, 3821, 267, 694, 533, 4240, 324, 6516, 541, 1714, 3473, 528, 527, 15879, 6446, 1999, 2088, 1477, 3546, 24140, 5451, 956, 5067, 15255, 476, 273, 2215, 10327, 1064, 20601, 525, 2891, 3064, 257, 586, 834, 572, 326, 20257, 1477, 3546, 10507, 683, 806, 9222, 26453, 518, 20393, 16948, 561, 826, 2998, 2357, 881, 541, 6446, 1714, 25650, 4262, 1609, 878, 1729, 23228, 4449, 1477, 3546, 5487, 1768, 1356, 320, 1064, 545, 18059, 1100, 1104, 320, 267, 11188, 4302, 11863, 574, 657, 6446, 2291, 534, 476, 273, 2367, 2803, 28075, 783, 525, 269, 21506, 4449, 1477, 3546, 4432, 1267, 5964, 6446, 1821, 3241, 557, 3288, 30775, 542, 521, 22044, 2181, 1965, 910, 272, 23228, 3546, 3131, 334, 23313, 834, 3064, 257, 586, 834, 572, 326, 257, 5067, 1253, 842, 657, 267, 1542, 320, 6446, 18720, 796, 25650, 1609, 878, 1729, 586, 267, 21506, 3546, 521, 6759, 5979, 679, 1609, 324, 8732, 334, 267, 1267, 5964, 547, 2742, 1714, 27089, 632, 834, 3064, 2668, 1477, 567, 12843, 21228, 21228, 6303, 1693, 5897, 14030, 14030, 4449, 13376, 5727, 1477, 0, 3698, 15377, 263, 3000, 20364, 267, 18085, 21059, 2187, 825, 1267, 815, 476, 271, 454, 825, 1948, 12507, 20364, 16402, 454, 825, 952, 1395, 20364, 2652, 476, 272, 281, 3097, 1038, 1267, 815, 18085, 21059, 2608, 476, 272, 269, 1240, 454, 1038, 1820, 6600, 257, 346, 322, 656, 21059, 348, 20789, 338, 5973, 523, 513, 2715, 14310, 348, 12373, 4100, 19515, 825, 1948, 12507, 20364, 9779, 1723, 842, 454, 825, 8640, 1395, 20364, 2652, 476, 273, 912, 1038, 1267, 815, 18085, 21059, 2608, 476, 14444, 3374, 269, 2568, 3097, 1038, 1820, 630, 325, 257, 346, 322, 656, 21059, 348, 3787, 23915, 5973, 523, 513, 2715, 14310, 348, 12373, 4100, 19515, 825, 1948, 12507, 20364, 3624, 454, 825, 8640, 1395, 20364, 2652, 476, 274, 912, 1038, 1267, 815, 18085, 21059, 2608, 476, 271, 269, 1428, 454, 1038, 1820, 630, 325, 257, 346, 322, 656, 21059, 348, 586, 340, 6951, 5973, 523, 513, 2715, 14310, 348, 257, 12467, 825, 1948, 302, 339, 549, 454, 825, 3116, 281, 3097, 1038, 1820, 2891, 28808, 25564, 21088, 796, 1003, 3266, 632, 3288, 30458, 834, 2020, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 10778, 825, 2119, 912, 1038, 1395, 20364, 815, 703, 9272, 2891, 3269, 454, 1038, 16016, 25564, 1714, 538, 573, 823, 632, 3288, 1395, 20364, 6446, 844, 773, 637, 4780, 597, 513, 12373, 4100, 912, 2018, 1496, 272, 316, 3933, 20364, 20789, 513, 546, 6897, 454, 2018, 1496, 273, 316, 3933, 20364, 19682, 513, 546, 6897, 454, 2018, 1496, 274, 316, 3933, 20364, 586, 10224, 513, 546, 6897, 454, 1038, 1530, 548, 322, 542, 320, 281, 18851, 4917, 1038, 1820, 2891, 20594, 11960, 265, 5602, 1038, 18085, 21059, 815, 703, 9272, 2891, 28808, 25564, 3288, 18085, 21059, 6446, 844, 773, 637, 12768, 339, 597, 27363, 1038, 15377, 263, 3000, 20364, 267, 18085, 21059, 994, 825, 4849, 912, 1038, 1820, 2891, 7052, 2207, 305, 3036, 7052, 5602, 1038, 1820, 2891, 303, 528, 3870, 267, 16016, 516, 572, 21088, 1130, 2803, 25948, 657, 5602, 0, 5035, 623, 19991, 912, 825, 8173, 825, 815, 2525, 284, 3430, 25572, 4499, 454, 825, 2012, 281, 12328, 2012, 454, 825, 1883, 281, 4062, 7121, 454, 825, 2681, 281, 1412, 337, 610, 1412, 321, 7055, 825, 4994, 281, 1412, 272, 262, 610, 1412, 273, 7055, 825, 1064, 281, 4062, 2990, 692, 825, 815, 2525, 284, 24709, 4499, 454, 825, 568, 7272, 19991, 263, 2567, 2638, 8900, 610, 4062, 692, 825, 29185, 825, 2012, 815, 7183, 454, 825, 1883, 815, 7183, 454, 825, 2681, 815, 7183, 454, 825, 4994, 815, 7183, 454, 825, 1064, 815, 29129, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1064, 2187, 1038, 952, 2012, 568, 711, 7183, 543, 1064, 568, 711, 7183, 912, 2018, 1582, 20508, 815, 2012, 454, 2018, 1582, 269, 4486, 815, 2012, 314, 272, 2639, 2018, 1582, 269, 10233, 815, 2012, 314, 271, 2639, 2018, 1582, 28827, 815, 2012, 314, 273, 2639, 2018, 1582, 269, 1842, 815, 1064, 454, 1038, 3116, 912, 2018, 1582, 20508, 815, 7183, 692, 825, 1219, 568, 7272, 19991, 4311, 2187, 1038, 952, 1582, 20508, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 952, 1582, 20508, 568, 711, 7183, 912, 2018, 2132, 1582, 20508, 454, 1038, 3116, 912, 2018, 2132, 1412, 24105, 4062, 7055 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3873, 27968, 547, 6338, 3755, 547, 590, 454, 24783, 476, 5780, 476, 1556, 11586, 3367, 811, 454, 1607, 1433, 3382, 2370, 3564, 519, 7746, 12319, 602, 781, 1331, 585, 1863, 269, 1403, 707, 3978, 827, 1210, 7746, 2676, 4391, 280, 476, 11025, 476, 276, 11586, 3367, 811, 454, 1607, 4320, 12116, 519, 1995, 540, 27782, 16330, 779, 5912, 936, 519, 2250, 476, 1789, 1296, 267, 7713, 519, 2797, 543, 552, 935, 454, 1960, 476, 1428, 476, 280, 11586, 3367, 811, 454, 288, 10875, 3308, 543, 2123, 3460, 538, 3406, 540, 519, 11599, 2462, 3032, 267, 519, 6777, 682, 16985, 269, 634, 6777, 682, 16985, 267, 1634, 607, 555, 454, 27244, 476, 5038, 476, 7830, 11586, 3367, 811, 454, 763, 2551, 540, 519, 14655, 682, 16985, 630, 303, 656, 515, 571, 533, 731, 639, 1094, 13877, 565, 528, 264, 814, 20427, 17379, 282, 713, 7489, 682, 16985, 7449, 29347, 773, 454, 30420, 476, 6507, 476, 1724, 11586, 3367, 811, 454, 18770, 823, 543, 2553, 602, 596, 991, 547, 1205, 519, 2816, 2944, 269, 18391, 585, 2081, 547, 20928, 707, 960, 865, 602, 596, 666, 1445, 454, 21878, 476, 14056, 476, 4391, 11586, 3367, 811, 454, 1607, 1433, 568, 519, 4241, 2594, 540, 1546, 309, 9369, 779, 5880, 1228, 547, 4688, 519, 4639, 689, 3294, 269, 1547, 1547, 1547, 3571, 7440, 267, 1202, 3010, 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, 20154, 26306, 543, 8682, 268, 18719, 22777, 538, 519, 15840, 5451, 262, 6403, 18321, 692, 763, 15840, 5451, 262, 6403, 18321, 267, 8547, 538, 519, 4571, 5991, 12078, 2540, 538, 1018, 568, 1631, 2413, 6377, 9459, 267, 11363, 519, 2956, 540, 5289, 7004, 543, 1582, 21553, 2889, 22777, 607, 1898, 3334, 540, 922, 10752, 269, 634, 5132, 8992, 9322, 543, 10103, 1851, 782, 1004, 267, 7488, 540, 741, 22874, 267, 5198, 267, 4008, 267, 610, 14227, 4282, 269, 901, 1557, 786, 5490, 883, 519, 3741, 543, 2853, 602, 6536, 5289, 2208, 543, 1582, 21553, 2889, 22777, 1369, 519, 2796, 540, 519, 15840, 5451, 262, 6403, 18321, 267, 5373, 4296, 1063, 891, 10752, 543, 4207, 2152, 971, 607, 1480, 2924, 543, 6848, 7130, 780, 23338, 14210, 1115, 540, 15840, 5451, 262, 6403, 17546, 902, 692, 6524, 3695, 519, 4798, 540, 5289, 7004, 543, 1582, 21553, 2889, 22777, 267, 621, 568, 2629, 547, 1174, 930, 4295, 4978, 540, 519, 15840, 5451, 262, 6403, 18321, 269, 7324, 873, 616, 1384, 265, 2201, 8864, 540, 2696, 281, 1703, 568, 1152, 835, 10143, 29763, 267, 945, 568, 3564, 1480, 8223, 563, 265, 30767, 540, 9671, 687, 281, 2353, 2101, 10764, 2671, 1455, 8129, 543, 6038, 6565, 689, 519, 1482, 10143, 2707, 269, 28626, 13414, 10522, 602, 8103, 11392, 1007, 3909, 18408, 693, 1114, 5933, 538, 1686, 998, 10143, 569, 12912, 3190, 12310, 899, 14062, 267, 30730, 267, 15584, 267, 17700, 267, 2098, 19660, 2120, 267, 4906, 2441, 267, 17124, 267, 519, 645, 5451, 321, 630, 295, 14283, 540, 519, 15840, 5451, 262, 6403, 18321, 1070, 543, 15840, 5451, 262, 340, 3513, 5451, 327, 630, 293, 10133, 540, 519, 15840, 5451, 262, 6403, 18321, 1916, 265, 24442, 9737, 3163, 543, 15215, 281, 5637, 2257, 543, 4984, 616, 10092, 2509, 1620, 4641, 282, 789, 9148, 2864, 982, 17591, 1142, 824, 563, 265, 18763, 27148, 540, 18266, 281, 3962, 1367, 814, 519, 5539, 547, 3406, 585, 5168, 10446, 267, 1863, 689, 14882, 543, 26608, 18727, 2093, 780, 293, 29183, 20154, 12618, 3414, 27302, 543, 25990, 692, 288, 4909, 2259, 538, 519, 15840, 5451, 262, 6403, 18321, 547, 7520, 5289, 1646, 568, 11755, 543, 9066, 269, 15840, 5451, 262, 6403, 338, 3494, 602, 2834, 2792, 609, 519, 23942, 11942, 6418, 4708, 267, 18791, 5837, 2418, 267, 543, 10597, 835, 781, 4390, 547, 2648, 1866, 14955, 3431, 269, 1358, 5431, 1079, 2010, 540, 19001, 281, 8078, 2218, 543, 1821, 10899, 269, 744, 4565, 580, 2218, 19001, 1590, 581, 973, 1243, 3232, 693, 1808, 2053, 267, 1247, 1821, 10899, 19001, 666, 581, 6035, 31380, 2429, 519, 1554, 269, 3958, 267, 7104, 10847, 2533, 1572, 715, 31106, 4303, 3171, 6814, 1683, 3255, 585, 18497, 11755, 543, 8086, 780, 306, 16291, 547, 11524, 607, 513, 11202, 3118, 27870, 25947, 2290, 781, 10886, 692, 1103, 12972, 609, 922, 8561, 593, 9322, 267, 519, 15840, 5451, 262, 6403, 18321, 19156, 3028, 547, 1866, 607, 513, 1797, 540, 2123, 1915, 6454, 269, 1635, 2502, 538, 6411, 540, 11587, 543, 8296, 267, 2043, 11349, 21644, 971, 607, 21548, 267, 9639, 267, 28908, 267, 543, 19807, 269, 5015, 267, 9525, 538, 2146, 20671, 2238, 2337, 3895, 1514, 22122, 543, 8994, 1489, 1851, 3309, 2516, 540, 1004, 269, 1280, 3236, 267, 15840, 5451, 262, 529, 1472, 519, 1158, 7119, 538, 1353, 10580, 267, 1453, 781, 5049, 267, 21738, 6107, 2516, 267, 543, 1821, 10899, 11401, 6322, 693, 16779, 2199, 2950, 543, 14637, 2318, 1689, 780, 11754, 7675, 4317, 12983, 3414, 31197, 543, 4065, 692, 289, 1695, 5451, 262, 6403, 338, 849, 11441, 585, 5289, 7004, 543, 1582, 21553, 2889, 22777, 676, 5466, 10296, 1514, 4145, 899, 1480, 2924, 19374, 267, 7130, 267, 543, 8635, 269, 634, 15840, 5451, 262, 6403, 4139, 7991, 8362, 22851, 538, 14223, 3646, 5059, 593, 5009, 5126, 267, 16701, 21899, 6710, 267, 14027, 2021, 781, 2924, 267, 543, 5885, 4264, 1646, 269, 5047, 267, 2069, 4249, 513, 11358, 1909, 538, 30015, 2043, 609, 1702, 543, 1983, 2556, 547, 3565, 25006, 547, 2486, 269, 1306, 5018, 4505, 267, 15840, 5451, 262, 529, 7500, 1585, 3872, 3292, 3358, 547, 2743, 519, 2115, 540, 1114, 2085, 2516, 269, 1452, 7341, 2832, 547, 1128, 650, 5683, 2418, 267, 2565, 3206, 5759, 267, 543, 513, 7029, 547, 4196, 8103, 780, 21010, 532, 15840, 5451, 262, 6403, 14362, 2060, 12634, 12694, 692, 2026, 23576, 676, 519, 3355, 1349, 3177, 267, 1082, 2477, 1869, 3068, 1713, 2591, 3823, 3540, 23118, 267, 5191, 540, 4082, 267, 543, 7130, 1996, 12790, 5095, 269, 16792, 15840, 5451, 262, 6403, 3741, 547, 2232, 891, 2152, 1223, 6556, 9621, 2164, 269, 1280, 1383, 1384, 265, 18964, 1930, 5188, 543, 16614, 11407, 1131, 948, 2149, 5191, 540, 4633, 543, 3895, 16268, 6278, 2066, 28836, 16752, 563, 265, 22716, 1944, 3838, 2418, 7915, 538, 782, 10764, 1522, 11574, 3392, 4115, 13253, 543, 6536, 7679, 28216, 9316, 563, 265, 18601, 11528, 3123, 540, 7130, 543, 15746, 3340, 13447, 539, 3646, 689, 1312, 22257, 5238, 543, 18523, 3906, 6131, 547, 30176, 1480, 15683, 780, 6962, 692, 9961, 713, 4901, 267, 649, 723, 8268, 875, 519, 15840, 5451, 262, 6403, 18321, 7512, 5289, 7004, 543, 1582, 21553, 2889, 22777, 3842, 11755, 543, 9066, 267, 3028, 547, 1866, 267, 543, 14223, 585, 1514, 5126, 269, 1635, 7311, 891, 3741, 538, 938, 2729, 543, 2950, 267, 649, 666, 960, 1927, 2509, 2679, 513, 811, 18900, 543, 12581, 1158, 1107, 835, 6353, 676, 9322, 267, 10892, 267, 543, 2463, 585, 1480, 2924, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12709, 11847, 2176, 14549, 7126, 18614, 1862, 20578, 7797, 910, 476, 273, 325, 27888, 323, 659, 271, 323, 12404, 5274, 7126, 18614, 11426, 7797, 1401, 1356, 14186, 281, 15787, 267, 9459, 267, 12925, 267, 12832, 31804, 7699, 267, 6576, 267, 27816, 13163, 540, 22640, 267, 5274, 7126, 267, 543, 8534, 23037, 676, 13474, 23037, 676, 8791, 769, 713, 3296, 1315, 15787, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 9459, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 12925, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 12832, 31804, 7699, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 6576, 8791, 476, 273, 269, 1234, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 26306, 543, 8682, 268, 18719, 22777, 257, 607, 851, 540, 834, 32628, 1315, 15840, 320, 262, 328, 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, 6092, 5149, 281, 4197, 23027, 18289, 543, 29079, 18868, 692, 8702, 267, 1762, 3744, 256, 4653, 267, 649, 2811, 2469, 593, 606, 7045, 998, 519, 4241, 1158, 540, 5951, 5163, 543, 5714, 6384, 269, 5620, 596, 2479, 11074, 547, 1589, 827, 875, 5836, 6329, 1106, 610, 1946, 2842, 2306, 1919, 15309, 548, 286, 1452, 9259, 616, 782, 851, 540, 519, 9159, 2257, 3297, 5951, 5163, 543, 5714, 6384, 269, 2913, 781, 4685, 883, 713, 13858, 1641, 1927, 2439, 6637, 476, 272, 281, 1548, 3657, 31515, 888, 10900, 19567, 5331, 18530, 513, 6149, 883, 513, 1869, 11432, 269, 1411, 1294, 678, 31454, 10825, 856, 2066, 519, 1216, 781, 2627, 267, 1318, 286, 8409, 678, 31454, 616, 1572, 2878, 30335, 1262, 269, 2859, 4481, 267, 789, 616, 7344, 6329, 602, 4483, 1648, 998, 2339, 1107, 538, 713, 2013, 267, 1216, 269, 20996, 6329, 991, 513, 5420, 630, 7945, 607, 2011, 267, 1216, 267, 610, 1256, 17571, 899, 887, 6647, 610, 20950, 264, 547, 2951, 269, 1358, 666, 581, 19040, 883, 1079, 2010, 281, 29529, 543, 19976, 6329, 780, 265, 9558, 2091, 6329, 15846, 1403, 596, 941, 547, 7747, 519, 3350, 540, 1367, 5536, 1369, 519, 5420, 1247, 519, 5951, 10596, 998, 621, 267, 1346, 5536, 1131, 1847, 909, 543, 1524, 13902, 569, 547, 519, 4287, 519, 5951, 12599, 269, 1280, 1383, 267, 950, 596, 12235, 513, 890, 321, 1076, 883, 513, 7535, 267, 519, 9764, 3270, 2813, 616, 1813, 547, 29529, 6329, 10707, 2059, 519, 1216, 781, 2627, 780, 265, 16524, 15994, 6329, 15846, 3767, 4952, 726, 31902, 513, 1793, 1074, 344, 543, 11287, 1018, 4523, 269, 1306, 519, 5951, 7575, 2059, 519, 3259, 540, 519, 1793, 1074, 344, 267, 922, 27810, 14771, 543, 4228, 6252, 547, 519, 5951, 781, 4287, 269, 2334, 1394, 7146, 16519, 628, 13496, 543, 7269, 21656, 19976, 6329, 269, 14675, 6329, 616, 513, 1455, 1826, 540, 19976, 5951, 1141, 6675, 5854, 622, 1394, 543, 8521, 4929, 2604, 2242, 538, 519, 4478, 2011, 780, 6637, 476, 273, 281, 10289, 29079, 18868, 454, 29432, 3086, 1577, 781, 1445, 593, 513, 2027, 15410, 540, 11707, 1634, 607, 2608, 22381, 573, 6384, 24682, 799, 9388, 609, 1620, 875, 15559, 543, 9362, 2095, 269, 1879, 4974, 5714, 6384, 267, 3744, 8495, 1585, 2188, 971, 607, 6991, 267, 5860, 267, 25297, 267, 543, 2604, 269, 1635, 7421, 891, 3601, 267, 3173, 10625, 11580, 6456, 2620, 3330, 2067, 3157, 5473, 12862, 780, 2690, 3236, 267, 1705, 596, 917, 602, 12269, 5749, 1405, 1175, 2770, 27918, 3043, 10412, 11084, 13735, 2832, 8393, 538, 519, 6607, 286, 715, 2100, 256, 1849, 10796, 2874, 540, 6263, 5277, 20256, 610, 4672, 14848, 17735, 538, 519, 5790, 269, 4256, 5322, 1246, 1808, 3270, 9598, 730, 676, 1950, 5714, 6422, 3741, 2439, 12244, 5384, 2336, 1366, 19567, 4131, 781 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 744, 8544, 15879, 7548, 798, 964, 2378, 1470, 18751, 454, 825, 844, 518, 4990, 792, 513, 3921, 655, 632, 3284, 6974, 320, 23843, 632, 3097, 825, 911, 4472, 327, 657, 13121, 620, 684, 657, 269, 13056, 9809, 320, 19804, 1982, 320, 6446, 454, 825, 682, 807, 522, 562, 727, 13121, 844, 520, 549, 620, 684, 657, 552, 1034, 516, 513, 3921, 655, 454, 825, 4990, 1737, 320, 269, 29185, 5228, 4351, 1104, 695, 28984, 692, 320, 272, 815, 1193, 9272, 3488, 28269, 10098, 620, 684, 334, 281, 1412, 4917, 320, 273, 815, 1193, 9272, 3488, 306, 1122, 1495, 334, 620, 684, 334, 281, 1412, 4917, 320, 274, 815, 1193, 9272, 3488, 24404, 576, 10098, 620, 684, 334, 281, 1412, 4917, 320, 275, 815, 1193, 9272, 3488, 5226, 691, 334, 620, 684, 334, 281, 1412, 4917, 2993, 815, 1496, 320, 272, 267, 513, 273, 267, 513, 274, 267, 513, 275, 2639, 3333, 28984, 263, 2993, 994, 2745, 3488, 288, 3921, 655, 632, 3284, 6974, 320, 23843, 1583, 5451, 281, 30386, 2745, 263, 2993, 264, 0, 18851, 13056, 9809, 320, 19804, 1982, 320, 6446, 682, 807, 3097, 825, 522, 562, 727, 1264, 1729, 632, 579, 2742, 533, 612, 10394, 3097, 825, 1034, 8681, 334, 900, 5302, 340, 5866, 522, 6305, 10098, 552, 522, 454, 825, 3706, 24982, 562, 727, 3021, 611, 3512, 324, 8528, 825, 1401, 281, 17630, 15636, 601, 14833, 632, 27804, 5633, 454, 825, 11788, 10098, 815, 17630, 454, 825, 8299, 24982, 815, 27804, 5633, 29185, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 562, 727, 1264, 1729, 281, 1412, 26895, 29328, 4590, 333, 727, 815, 562, 727, 21858, 4590, 2745, 3488, 5353, 340, 6305, 10098, 562, 727, 20527, 15079, 8339, 8971, 3799, 727, 314, 271, 28413, 2745, 3488, 5353, 340, 3706, 24982, 562, 727, 20527, 15079, 8339, 8971, 3799, 727, 314, 6352, 3799, 727, 264, 910, 476, 272, 316, 4297, 0, 18851, 3955, 668, 12323, 334, 10221, 328, 9809, 383, 369, 525, 2755, 3097, 338, 815, 476, 271, 454, 333, 815, 476, 271, 454, 6112, 6936, 912, 825, 562, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 825, 952, 562, 2652, 476, 15886, 912, 1038, 2736, 454, 825, 521, 6834, 562, 454, 2745, 6600, 262, 288, 1474, 320, 1130, 324, 2715, 338, 348, 10807, 825, 1948, 715, 10976, 302, 570, 7709, 302, 16692, 11123, 21316, 5727, 7531, 18851, 1401, 6374, 657, 632, 535, 5569, 8173, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 562, 727, 281, 1412, 4917, 573, 1228, 815, 703, 9272, 3488, 14707, 924, 647, 320, 7329, 1228, 281, 1412, 4917, 2745, 6600, 24202, 15710, 562, 727, 20527, 2715, 333, 727, 348, 552, 647, 320, 7329, 1228, 20527, 2715, 573, 1228, 348, 10807, 0, 18851, 13056, 9809, 320, 19804, 1982, 320, 6446, 682, 807, 522, 6584, 2939, 334, 3097, 4777, 3032, 16587, 1566, 739, 334, 632, 19804, 3032, 16587, 11105, 324, 632, 19804, 959, 514, 698, 25222, 454, 5632, 9908, 552, 1034, 516, 522, 6584, 2939, 334, 13005, 12048, 582, 523, 25901, 20701, 5228, 2979, 1104, 5492, 454, 1723, 815, 10581, 9272, 3488, 290, 7112, 1440, 2939, 334, 798, 3032, 16587, 1566, 739, 334, 281, 1412, 4917, 8619, 815, 10581, 9272, 3488, 4467, 1440, 2939, 334, 798, 3032, 16587, 11105, 324, 281, 1412, 4917, 6062, 815, 5492, 263, 1723, 267, 8619, 994, 2745, 3488, 288, 12048, 582, 523, 25901, 642, 2967, 1199, 597, 2715, 15545, 273, 325, 348, 8339, 8971, 263, 6062, 4297, 0, 5035, 8274, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4463, 267, 8700, 2187, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 4732, 331, 1824, 815, 1496, 9131, 1412, 316, 2608, 1582, 9884, 5954, 585, 4737, 538, 2039, 4311, 269, 19417, 264, 6540, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 5727, 16849, 513, 5569, 6041, 585, 513, 8274, 1843, 563, 1038, 8173, 1038, 521, 815, 15234, 476, 1948, 2253, 609, 606, 8900, 5569, 692, 1038, 1948, 1039, 835, 4737, 540, 27061, 693, 513, 942, 454, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 2187, 2018, 521, 6834, 1412, 347, 262, 476, 1948, 1039, 835, 7299, 3046, 693, 519, 1376, 540, 519, 4737, 692, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 3546, 521, 6834, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 1341, 1412, 347, 28847, 2018, 521, 6834, 1412, 315, 333, 262, 476, 1948, 1007, 1467, 693, 519, 1439, 540, 519, 4737, 692, 1038, 1948, 1039, 3834, 2380, 585, 5377, 6316, 454, 1038, 1948, 7466, 607, 1082, 2094, 1657, 3009, 3769, 1582, 4732, 331, 1824, 454, 1038, 585, 897, 538, 2039, 263, 273, 2608, 1582, 9884, 5954, 1341, 476, 272, 2187, 2018, 521, 6834, 25023, 692, 1038, 521, 6834, 1412, 315, 333, 28847, 1038, 1948, 1039, 6241, 2338, 2630, 5377, 6316, 454, 1038, 1003, 815, 476, 271, 454, 1038, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 2018, 521, 6834, 1412, 1412, 1341, 1193, 16325, 994, 2018, 1003, 6834, 476, 272, 454, 2018, 1003, 815, 1003, 4939, 476, 1015, 692, 1038, 2132, 521, 692, 825, 1219, 1039, 318, 13765, 518, 4311, 267, 2638, 518, 267, 897, 2187, 1038, 5727, 8591, 519, 9138, 2638, 518, 547, 6241, 897, 454, 2018, 540, 519, 1572, 8274, 1843, 454, 1038, 8173, 1038, 1948, 13182, 11378, 454, 1038, 7682, 263, 13765, 518, 2652, 1412, 311, 262, 610, 2638, 518, 2652, 1412, 302, 5073, 1038, 7682, 263, 271, 10922, 897, 2999, 1582, 9884, 5954, 2020, 1038, 4737, 815, 476, 271, 454, 1038, 1247, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 1412, 1412, 543, 4737, 2999, 1582, 269, 19417, 910, 476, 272, 912, 2018, 4737, 6834, 476, 272, 692, 1038, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 11203, 1412, 1412, 281, 1948, 649, 11074, 693, 513, 2638, 518, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 910, 476, 272, 6012, 3712, 316, 815, 2638, 518, 454, 1038, 3116, 281, 4449, 19930, 1948, 4737, 568, 519, 5377, 18921, 540, 897, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 2638, 518, 692, 825, 1219, 19268, 4311, 2187, 1038, 5727, 759, 1115, 519, 8274, 1843, 593, 799, 621, 454, 2018, 568, 1572, 676, 4259, 782, 27061, 547, 2270, 513, 2230, 1915, 563, 1038, 8173, 1038, 1582, 4732, 331, 1824, 815, 1496, 9131, 1412, 316, 2608, 1582, 9884, 5954, 585, 4737, 538, 2039, 4311, 269, 19417, 264, 6540, 825, 1219, 666, 318, 5417, 15461, 4311, 267, 897, 2187, 1038, 5727, 7024, 6936, 952, 621, 568, 4570, 547, 1747, 513, 2638, 518, 454, 2018, 538, 519, 6241, 897, 593, 519, 10912, 8274, 1843, 267, 6382, 8771, 454, 1038, 8173, 1038, 952, 897, 13843, 1582, 9884, 5954, 912, 2018, 2132, 8771, 692, 1038, 952, 897, 2999, 476, 271, 912, 2018, 2132, 8771, 692, 1038, 1948, 952, 519, 1283, 4737, 568, 711, 8900, 267, 519, 6241, 568, 2407, 454, 1038, 952, 1582, 4732, 331, 1824, 314, 271, 6012, 3712, 316, 11203, 1412, 1412, 912, 2018, 2132, 8771, 28329, 1038, 2132, 6936, 692, 825, 1219, 568, 318, 21459, 4311, 2187, 1038, 5727, 7024, 6936, 952, 519, 1572, 8274, 1843, 568, 4625, 454, 2018, 2407, 540, 2638, 619, 267, 543, 7024, 8771, 6382, 563, 1038, 8173, 1038, 897, 815, 476, 271, 454, 1038, 1247, 711, 1582, 269, 4754, 318, 5417, 15461, 263, 3712, 264, 543, 897, 2999, 1582, 9884, 5954, 912, 2018, 897, 6834, 476, 272, 692, 1038, 1948, 952, 649, 6854, 2469, 21266, 519, 2063, 6241, 267, 519, 4604, 568, 2407, 454, 1038, 1948, 543, 897, 568, 856, 540, 2039, 540, 1582, 4732, 331, 1824, 454, 1038, 952, 897, 2652, 1582, 9884, 5954, 912, 2018, 2132, 6936, 28329, 1038, 2132, 8771, 692, 825, 1219, 4894, 318, 13765, 518, 4311, 267, 897, 2187, 1038, 5727, 18788, 519, 1283, 2638, 518, 689, 6241, 897, 540, 519, 1572, 8274, 1843, 454, 1038, 8173, 1038, 4737, 815, 476, 271, 692, 1038, 1948, 952, 897, 568, 2407, 267, 4894, 2638, 518, 689, 1283, 2173, 739, 2230, 538, 897, 454, 1038, 952, 711, 1582, 269, 4754, 318, 5417, 15461, 263, 3712, 2187, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 1412, 1412, 692, 1038, 3116, 912, 2018, 1948, 952, 649, 666, 1039, 547, 519, 897, 543, 519, 5377, 4737, 538, 897, 454, 2018, 1948, 568, 8900, 267, 2132, 2094, 519, 897, 568, 2907, 8900, 454, 2018, 952, 1582, 4732, 331, 1824, 314, 1345, 269, 19417, 910, 476, 272, 6012, 3712, 316, 2652, 1412, 1412, 912, 3546, 2132, 692, 2018, 1247, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 1412, 1412, 543, 4737, 2999, 1582, 269, 19417, 910, 476, 272, 912, 3546, 4737, 6834, 476, 272, 454, 4449, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 1412, 1412, 692, 1038, 2132, 692, 825, 1219, 568, 318, 7773, 318, 1721, 4311, 267, 2638, 518, 2187, 1038, 5727, 7125, 25961, 3252, 602, 3313, 782, 2009, 2081, 547, 3094, 4045, 454, 2018, 9050, 543, 7024, 952, 519, 3403, 2638, 518, 568, 519, 16771, 540, 519, 3014, 630, 12148, 994, 2018, 610, 711, 630, 16178, 994, 1038, 8173, 1038, 7682, 263, 13765, 518, 2652, 1412, 311, 262, 610, 2638, 518, 2652, 1412, 302, 17210, 1038, 1948, 1289, 519, 25961, 3252, 543, 946, 741, 2132, 2418, 547, 454, 1038, 1948, 3313, 2436, 547, 2132, 6936, 610, 8771, 454, 1038, 5997, 815, 1582, 18994, 318, 1817, 714, 7267, 318, 7773, 263, 13765, 518, 994, 1038, 9825, 815, 1582, 18994, 318, 3200, 673, 318, 7773, 263, 13765, 518, 994, 1038, 546, 10972, 698, 815, 1582, 18994, 5091, 1144, 5091, 328, 21192, 318, 7773, 263, 13765, 518, 994, 1038, 579, 10972, 698, 815, 1582, 18994, 318, 1575, 5091, 328, 21192, 318, 7773, 263, 13765, 518, 2020, 1038, 2132, 5997, 610, 9825, 610, 546, 10972, 698, 610, 579, 10972, 698, 692, 825, 1219, 568, 318, 1817, 714, 7267, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 8880, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 910, 476, 274, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9587, 538, 713, 4737, 454, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 272, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 273, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 274, 316, 2652, 2638, 518, 912, 7386, 2132, 6936, 692, 1038, 1948, 952, 649, 1118, 621, 1934, 267, 972, 941, 1100, 8880, 17993, 454, 1038, 2132, 8771, 22562, 825, 1219, 568, 318, 3200, 673, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 7299, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 910, 476, 274, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9343, 538, 713, 6241, 454, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 272, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 273, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 274, 6012, 3712, 316, 2652, 2638, 518, 912, 7386, 2132, 6936, 692, 1038, 1948, 952, 649, 1118, 621, 1934, 267, 972, 941, 1100, 7299, 17993, 454, 1038, 2132, 8771, 22562, 825, 1219, 568, 5091, 1144, 5091, 328, 21192, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 15497, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 910, 476, 274, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 910, 476, 274, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9587, 543, 9343, 630, 10972, 21192, 994, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 28926, 8160, 1314, 267, 11723, 825, 1219, 5544, 4311, 2187, 1038, 8173, 1038, 901, 4971, 6238, 519, 20128, 7738, 7154, 269, 901, 568, 519, 1482, 607, 10296, 10162, 4861, 320, 781, 20128, 7735, 267, 543, 454, 1038, 786, 23249, 513, 7738, 4783, 952, 835, 568, 2907, 538, 3356, 780, 1038, 12232, 538, 12331, 281, 10426, 633, 267, 15822, 267, 610, 9509, 282, 15448, 7154, 547, 281, 10426, 633, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 2580, 630, 28926, 2529, 13607, 267, 11723, 825, 1219, 3343, 5091, 1442, 4311, 2187, 1038, 8173, 1038, 901, 4971, 1463, 338, 10162, 4861, 320, 547, 5397, 5196, 519, 546, 1442, 519, 1985, 942, 621, 13341, 519, 546, 12177, 20832, 563, 1038, 901, 568, 519, 1482, 607, 10296, 10162, 4861, 320, 781, 667, 1442, 7735, 267, 543, 786, 23249, 513, 7738, 4783, 952, 835, 568, 2907, 538, 454, 1038, 3356, 780, 1038, 12232, 538, 12331, 281, 10426, 633, 267, 15822, 267, 610, 9509, 282, 15448, 7154, 547, 281, 10426, 633, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 2580, 630, 28926, 2529, 324, 2131, 291, 1442, 267, 11723, 825, 1219, 5397, 4311, 267, 6991, 18425, 318, 7825, 30648, 318, 5913, 267, 8953, 18425, 318, 7825, 2187, 1038, 8173, 1038, 901, 4971, 8060, 10162, 4861, 320, 781, 5397, 14743, 780, 1038, 8074, 281, 18378, 543, 2825, 9993, 949, 2061, 10162, 4861, 320, 689, 8308, 8876, 856, 930, 5397, 454, 1038, 12981, 269, 1280, 1383, 267, 621, 949, 711, 581, 2009, 585, 10162, 4861, 320, 547, 5397, 693, 2407, 3432, 538, 606, 9095, 609, 513, 1804, 454, 1038, 8953, 540, 22441, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 780, 1038, 1488, 7714, 912, 2018, 6991, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 270, 5913, 269, 15474, 1871, 1611, 4464, 543, 2942, 23651, 563, 2018, 8953, 18425, 318, 7825, 630, 15759, 518, 2567, 910, 1220, 271, 910, 476, 1220, 271, 6515, 563, 3546, 634, 8953, 568, 6027, 689, 519, 4099, 540, 519, 7432, 5858, 547, 519, 4099, 540, 10162, 4861, 320, 563, 3546, 7981, 2665, 912, 7386, 476, 27628, 6924, 610, 476, 27628, 6858, 281, 3619, 2786, 563, 7386, 910, 272, 281, 12414, 538, 1747, 29628, 563, 7386, 476, 272, 281, 12414, 538, 1747, 4831, 22018, 3772, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 267, 6991, 18425, 318, 7825, 30648, 318, 5913, 267, 8953, 18425, 318, 7825, 11723, 825, 1219, 5397, 5091, 1311, 4311, 267, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 267, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 2187, 1038, 8173, 1038, 901, 4971, 13071, 596, 1852, 519, 4464, 543, 18807, 5163, 540, 10162, 4861, 320, 781, 5397, 14743, 454, 1038, 10446, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 780, 1038, 1488, 7714, 912, 2018, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 4732, 269, 15474, 1797, 4464, 563, 2018, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 4882, 269, 15474, 1797, 4464, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 17445, 267, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 267, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 11723, 825, 1219, 5397, 7272, 342, 332, 4311, 267, 1318, 7272, 342, 332, 267, 2451, 7272, 342, 332, 2187, 1038, 8173, 1038, 901, 4971, 13071, 596, 1852, 519, 6151, 4464, 543, 18807, 5163, 540, 10162, 4861, 320, 781, 5397, 14743, 454, 1038, 10446, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 692, 1038, 1488, 7714, 912, 2018, 1318, 7272, 342, 332, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 269, 15474, 1797, 4464, 563, 2018, 2451, 7272, 342, 332, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 269, 15474, 1797, 4464, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 303, 342, 332, 267, 1318, 7272, 342, 332, 267, 2451, 7272, 342, 332, 11723, 825, 1219, 16546, 4311, 267, 5512, 318, 2515, 318, 20815, 267, 5512, 24449, 659, 10840, 267, 5512, 8548, 664, 318, 20815, 2676, 25639, 2427, 318, 20815, 318, 22018, 3772, 25716, 267, 1292, 318, 20815, 318, 719, 1189, 25716, 2187, 1038, 1239, 815, 630, 10852, 318, 20815, 318, 719, 1189, 24177, 476, 275, 264, 26444, 25639, 1923, 630, 2515, 318, 20815, 318, 22018, 3772, 24177, 476, 274, 264, 26444, 25639, 1923, 630, 523, 762, 8548, 664, 318, 20815, 24177, 476, 273, 264, 26444, 25639, 1923, 630, 523, 762, 24449, 659, 10840, 24177, 476, 272, 264, 26444, 25639, 1923, 630, 523, 762, 318, 2515, 318, 20815, 24177, 476, 271, 994, 1038, 1582, 11519, 338, 754, 2891, 285, 17668, 2580, 630, 28926, 8160, 582, 832, 267, 1239, 11723, 825, 1219, 533, 342, 332, 8548, 582, 832, 4311, 267, 1292, 318, 20815, 7272, 342, 332, 267, 2427, 318, 20815, 7272, 342, 332, 267, 12511, 7272, 342, 332, 2187, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 6277, 321, 2580, 630, 28926, 10422, 342, 332, 300, 582, 832, 267, 1292, 318, 20815, 7272, 342, 332, 267, 2427, 318, 20815, 7272, 342, 332, 267, 12511, 7272, 342, 332, 11723, 825, 1219, 561, 2644, 4311, 267, 11935, 267, 5544, 267, 546, 1442, 267, 2638, 318, 13681, 582, 267, 1379, 318, 1194, 318, 10233, 267, 1379, 318, 1194, 318, 842, 3748, 2187, 1038, 1239, 815, 630, 13765, 318, 13681, 582, 24177, 476, 274, 264, 26444, 25639, 1923, 630, 323, 1442, 24177, 476, 273, 264, 26444, 25639, 1923, 630, 4944, 582, 24177, 476, 272, 264, 26444, 25639, 1923, 630, 1372, 11421, 24177, 476, 271, 994, 1038, 1582, 11519, 338, 754, 2891, 285, 17668, 17668, 2580, 630, 28926, 11482, 2644, 267, 1239, 267, 1379, 318, 1194, 318, 10233, 267, 1379, 318, 1194, 318, 842, 3748, 11723, 825, 1219, 9704, 318, 1194, 338, 318, 30913, 328, 4311, 267, 1239, 2187, 1038, 1239, 318, 718, 815, 1239, 1341, 536, 262, 825, 1412, 454, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 6277, 6277, 2580, 630, 28926, 6185, 580, 1080, 299, 2644, 2026, 857, 328, 267, 1239, 318, 718, 314, 271, 3910, 1239, 318, 718, 314, 272, 3910, 1239, 318, 718, 314, 273, 3910, 1239, 318, 718, 314, 274, 8079, 2020, 825, 1219, 1376, 318, 6894, 4311, 267, 9300, 318, 1749, 2187, 1038, 1582, 11519, 28947, 22182, 263, 560, 1192, 4877, 871, 2891, 285, 289, 321, 2580, 14956, 269, 1805, 3195, 267, 7003, 4433, 16428, 318, 1749, 21875, 1038, 585, 9300, 16182, 538, 9300, 318, 1749, 912, 2018, 1582, 11519, 28947, 22182, 263, 560, 1192, 4877, 871, 2891, 285, 321, 2580, 9300, 16182, 11723, 825, 1219, 9337, 4311, 2187, 1038, 1582, 11519, 321, 4428, 518, 6834, 1582, 11519, 28947, 18667, 4311, 11519, 28947, 23357, 310, 320, 1746, 15405, 1038, 1775, 815, 476, 271, 454, 1038, 1533, 815, 7183, 454, 1038, 1247, 1775, 2999, 7003, 4311, 11519, 321, 4428, 518, 264, 910, 476, 272, 912, 2018, 952, 1582, 11519, 321, 4428, 518, 5157, 316, 2652, 476, 866, 912, 3546, 2450, 815, 1582, 11519, 321, 4428, 518, 5157, 266, 272, 2639, 3546, 1948, 1820, 2891, 11398, 476, 866, 834, 1341, 1193, 4433, 1125, 4917, 3546, 952, 7003, 4311, 11519, 321, 4428, 518, 264, 3436, 2450, 1341, 1775, 1341, 476, 273, 912, 7386, 1948, 1820, 2891, 14075, 2614, 5602, 7386, 1948, 2638, 11974, 636, 454, 7386, 11974, 636, 815, 476, 271, 454, 7386, 585, 795, 538, 2039, 9217, 267, 2450, 266, 328, 266, 274, 2187, 13376, 11974, 636, 6834, 1582, 11519, 321, 4428, 518, 14728, 6540, 7386, 952, 630, 3832, 4242, 636, 1299, 476, 271, 343, 13697, 264, 2652, 476, 271, 912, 13376, 1948, 1612, 572, 17142, 454, 13376, 1064, 815, 1775, 1341, 476, 273, 454, 13376, 1533, 815, 3557, 4590, 13376, 1247, 1064, 2999, 1775, 1341, 2450, 1341, 476, 273, 912, 23351, 9300, 815, 1582, 11519, 321, 4428, 518, 314, 1842, 2639, 23351, 1064, 6834, 476, 272, 454, 23351, 952, 9300, 2652, 32190, 20166, 8379, 1712, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 6230, 1712, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 2419, 1173, 532, 13750, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 269, 12737, 532, 13750, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1533, 269, 12737, 532, 13750, 815, 932, 1173, 532, 13750, 263, 8063, 269, 12737, 532, 13750, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 14157, 5653, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 269, 14179, 5653, 1103, 300, 309, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 5861, 584, 1370, 912, 4449, 3546, 535, 31198, 815, 834, 285, 327, 4840, 4449, 3546, 1533, 269, 9690, 1103, 7246, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11053, 17687, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 6745, 17687, 1103, 291, 1122, 290, 601, 857, 639, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11065, 19495, 2419, 1618, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 12500, 19495, 2419, 1618, 1103, 7246, 295, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11065, 19495, 22479, 13369, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 12500, 19495, 22479, 13369, 1103, 7246, 295, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 29381, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 29381, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 293, 3224, 29381, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 293, 3224, 29381, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 293, 3224, 14738, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 293, 3224, 14738, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 14738, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 14738, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 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 ]
[ 454, 14683, 318, 9792, 815, 476, 276, 3199, 318, 278, 7597, 692, 258, 10426, 5320, 16448, 476, 272, 910, 20099, 540, 10957, 568, 3670, 9704, 454, 3698, 568, 28747, 5334, 1460, 630, 842, 19056, 2187, 825, 952, 7003, 19304, 17301, 19056, 4297, 2652, 476, 277, 912, 11434, 2132, 6936, 454, 825, 3116, 912, 11434, 2132, 8771, 692, 258, 10426, 5320, 16448, 476, 273, 910, 10426, 5320, 814, 3654, 326, 548, 9704, 267, 855, 711, 811, 982, 476, 273, 18615, 569, 563, 3698, 814, 5091, 19302, 5091, 580, 1080, 630, 842, 19056, 2187, 825, 1871, 23952, 815, 1193, 17301, 19056, 994, 825, 1871, 28747, 815, 7003, 263, 7407, 23952, 994, 825, 1948, 30498, 909, 1871, 8675, 609, 12523, 540, 1142, 1297, 454, 825, 1871, 18380, 815, 9598, 18750, 760, 3488, 23713, 24833, 277, 4281, 280, 3299, 314, 271, 30297, 1015, 4917, 825, 585, 1775, 538, 2039, 263, 7407, 28747, 2187, 1038, 1871, 18380, 314, 7407, 23952, 5157, 14963, 815, 1871, 18380, 314, 7407, 23952, 5157, 14963, 1341, 476, 272, 3097, 3097, 825, 1948, 594, 614, 919, 998, 543, 9060, 8424, 540, 2338, 543, 11974, 609, 1871, 18380, 952, 621, 1152, 5526, 7466, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 28747, 2187, 1038, 952, 1871, 23952, 5157, 316, 2652, 1871, 23952, 5157, 268, 272, 14158, 2018, 952, 1871, 18380, 314, 7407, 23952, 5157, 14963, 2652, 476, 273, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 258, 10426, 5320, 16448, 476, 274, 910, 10426, 5320, 2418, 2760, 6175, 2469, 2451, 547, 1318, 267, 1152, 3251, 519, 1482, 610, 1213, 572, 454, 3698, 2760, 318, 1372, 920, 1162, 630, 842, 19056, 2187, 825, 1871, 23952, 815, 1193, 17301, 19056, 994, 825, 1871, 28747, 815, 7003, 263, 7407, 23952, 994, 825, 1293, 815, 476, 271, 3097, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 28747, 2187, 1038, 952, 1871, 23952, 5157, 316, 13843, 1871, 23952, 5157, 268, 272, 14158, 2018, 1293, 6834, 476, 272, 454, 825, 952, 1293, 2652, 476, 276, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 258, 10318, 1149, 952, 10957, 10742, 7355, 267, 7024, 6936, 952, 621, 1281, 563, 3698, 10957, 318, 13765, 17301, 19056, 2567, 11434, 454, 825, 952, 568, 28747, 5334, 1460, 17301, 19056, 2187, 1038, 952, 814, 5091, 19302, 5091, 580, 1080, 17301, 19056, 2187, 2018, 952, 2760, 318, 1372, 920, 1162, 17301, 19056, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 258, 10426, 5320, 31098, 9577, 910, 12055, 919, 998, 2009, 2039, 543, 7024, 1592, 540, 2009, 18538, 454, 258, 14348, 4440, 2744, 513, 3432, 2333, 952, 594, 5916, 2175, 476, 273, 543, 476, 274, 883, 1482, 8520, 454, 3698, 5352, 7272, 817, 5320, 8217, 263, 869, 318, 9792, 267, 1164, 318, 9792, 2187, 825, 10957, 8217, 815, 32582, 8931, 825, 585, 1775, 538, 2039, 263, 869, 318, 9792, 267, 1164, 318, 9792, 266, 272, 2187, 1038, 952, 10957, 318, 13765, 9217, 2187, 2018, 10957, 8217, 6910, 9217, 994, 825, 2132, 10957, 8217, 692, 258, 6301, 1505, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 4530, 2665, 454, 825, 7682, 10957, 318, 13765, 263, 12208, 22001, 264, 2652, 6936, 454, 825, 7682, 10957, 318, 13765, 263, 11277, 29900, 264, 2652, 8771, 454, 825, 7682, 10957, 318, 13765, 263, 9340, 14338, 264, 2652, 6936, 454, 3097, 825, 1948, 2398, 6493, 3259, 540, 6383, 10957, 1592, 454, 825, 1820, 12759, 263, 2102, 4733, 7272, 817, 5320, 8217, 263, 869, 318, 9792, 267, 1164, 318, 9792, 4297, 2020, 0, 5814, 19523, 267, 27368, 454, 6853, 18524, 269, 8181, 10797, 21653, 815, 8700, 267, 4463, 815, 476, 8517, 267, 476, 8517, 454, 19009, 815, 476, 14838, 267, 476, 14838, 267, 476, 14838, 454, 22018, 815, 27368, 28333, 269, 5141, 1442, 3890, 3248, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 4433, 1125, 994, 4252, 815, 27368, 269, 13548, 269, 2903, 2891, 842, 549, 318, 4252, 26666, 5602, 343, 267, 586, 815, 630, 12296, 910, 476, 6321, 264, 1315, 476, 273, 267, 630, 19417, 910, 476, 6321, 264, 1315, 476, 273, 22322, 343, 318, 4219, 815, 476, 271, 454, 344, 318, 4219, 815, 476, 271, 7531, 6112, 476, 272, 912, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 1363, 453, 338, 903, 20216, 527, 4590, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 1363, 453, 453, 344, 318, 4219, 6834, 910, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 1363, 453, 453, 344, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 1363, 453, 453, 343, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 1363, 453, 453, 343, 318, 4219, 6834, 910, 276, 454, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 16810, 912, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 1363, 453, 453, 343, 318, 4219, 6834, 910, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 1363, 453, 453, 343, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 1363, 453, 453, 344, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 1363, 453, 453, 344, 318, 4219, 6834, 910, 276, 7531, 825, 1535, 6834, 1535, 318, 4219, 454, 825, 586, 6834, 586, 318, 4219, 454, 825, 1820, 3287, 318, 4219, 267, 1439, 815, 834, 19515, 825, 1820, 12169, 318, 4219, 994, 825, 454, 825, 5496, 8807, 650, 263, 19009, 994, 825, 5496, 269, 4565, 527, 263, 4252, 267, 630, 343, 267, 586, 4917, 825, 27368, 269, 5891, 269, 26303, 4590, 825, 9219, 6745, 1157, 263, 2568, 994, 0, 343, 815, 834, 1706, 1446, 548, 335, 21317, 334, 29177, 335, 517, 974, 10098, 815, 7003, 3287, 10142, 3698, 10799, 532, 4433, 19885, 2567, 1948, 521, 815, 5569, 513, 1583, 23666, 320, 6902, 562, 815, 562, 14243, 1067, 334, 632, 1286, 716, 31013, 13005, 5569, 1477, 825, 585, 795, 538, 2039, 3799, 266, 272, 8029, 1038, 952, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 476, 271, 543, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 7183, 6769, 2018, 1820, 4433, 11468, 329, 316, 10142, 1038, 8640, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 7003, 4433, 264, 543, 521, 28827, 4433, 14728, 266, 272, 8079, 2652, 7183, 6769, 2018, 1820, 4433, 10142, 1038, 3116, 6769, 2018, 1820, 4433, 11468, 329, 29573, 1721, 795, 538, 1535, 6769, 825, 10799, 532, 3287, 267, 6352, 3287, 17903, 825, 1535, 815, 1535, 27007, 343, 28827, 27203, 11924, 272, 2567, 316, 5897, 5897, 5897, 5897, 24653, 0, 5814, 19523, 454, 5814, 15259, 454, 3698, 26250, 28442, 267, 23882, 25716, 267, 11503, 25716, 2187, 825, 952, 23882, 912, 1038, 28551, 815, 834, 295, 7637, 2437, 1341, 2012, 454, 825, 3116, 912, 1038, 28551, 815, 834, 15916, 2437, 1341, 2012, 692, 825, 952, 11503, 912, 1038, 1820, 14116, 516, 7566, 269, 21639, 263, 3738, 994, 825, 3116, 912, 1038, 1820, 14116, 516, 7566, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 23882, 18989, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 11503, 18989, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 23882, 18989, 267, 11503, 18989, 994, 0, 5814, 11885, 7531, 5035, 4975, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 6003, 2187, 1038, 1582, 269, 573, 815, 6003, 454, 1038, 1582, 7456, 665, 815, 11885, 15126, 9230, 343, 267, 586, 11723, 825, 1219, 3845, 15461, 4311, 267, 2749, 2187, 1038, 2132, 11885, 7456, 1400, 326, 8542, 768, 6262, 640, 7456, 665, 910, 1582, 7456, 665, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 269, 573, 348, 281, 630, 346, 1345, 7456, 665, 16585, 5016, 454, 5035, 9351, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4872, 2187, 1038, 1582, 6983, 885, 815, 4872, 692, 825, 1219, 1205, 6958, 5893, 4311, 2187, 1038, 8516, 815, 476, 271, 269, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 4311, 6983, 885, 264, 910, 476, 272, 2187, 2018, 8516, 6834, 1582, 6983, 885, 5157, 4940, 323, 2700, 15461, 4311, 6983, 885, 5157, 1341, 476, 272, 7481, 1038, 2132, 8516, 22562, 825, 1219, 1205, 6831, 640, 9078, 629, 1564, 4311, 2187, 1038, 2132, 1496, 1598, 6262, 269, 573, 264, 585, 524, 538, 1582, 6983, 885, 6540, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 7003, 4311, 6983, 885, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 22704, 281, 7003, 6262, 885, 6661, 346, 6352, 4311, 6983, 885, 264, 9574, 8516, 28121, 1345, 10947, 6958, 5893, 3890, 9574, 10297, 28121, 1345, 10947, 6831, 640, 9078, 629, 1564, 3890, 348, 4840, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 267, 556, 454, 5814, 2415, 27785, 692, 29514, 3181, 1872, 692, 9418, 2745, 815, 1820, 692, 3698, 546, 2745, 28949, 16911, 2187, 825, 952, 3181, 1872, 912, 1038, 1483, 2745, 28949, 16911, 2020, 2745, 815, 546, 2745, 692, 3698, 1292, 263, 16911, 2187, 825, 2518, 3181, 1872, 454, 825, 609, 1930, 263, 16911, 8807, 32327, 267, 1412, 337, 10807, 607, 535, 323, 912, 1038, 1435, 318, 4486, 6831, 731, 267, 1435, 318, 4486, 5091, 3233, 815, 1496, 842, 263, 1467, 14714, 8692, 28829, 585, 1899, 538, 535, 323, 18667, 6050, 3890, 2639, 825, 1820, 2891, 25205, 5398, 6206, 281, 15079, 2668, 8971, 9638, 889, 318, 4486, 6831, 731, 4917, 825, 1820, 2891, 2710, 528, 5398, 6206, 281, 15079, 2668, 8971, 9638, 889, 318, 4486, 5091, 3233, 4917, 8931, 825, 1641, 20311, 815, 476, 278, 454, 825, 8520, 15481, 6831, 731, 815, 1265, 318, 31467, 15481, 9638, 889, 318, 4486, 6831, 731, 267, 1641, 20311, 994, 825, 1820, 2891, 25205, 8520, 2450, 281, 15079, 2668, 8971, 263, 31467, 15481, 6831, 731, 4917, 825, 8520, 15481, 5091, 3233, 815, 1265, 318, 31467, 15481, 9638, 889, 318, 4486, 5091, 3233, 267, 1641, 20311, 994, 825, 1820, 2891, 2710, 528, 8520, 2450, 281, 15079, 2668, 8971, 263, 31467, 15481, 5091, 3233, 11723, 825, 14238, 318, 4486, 318, 272, 815, 1205, 318, 16780, 11736, 318, 4486, 9638, 889, 318, 4486, 6831, 731, 267, 8520, 15481, 5091, 3233, 994, 825, 14238, 318, 4486, 318, 273, 815, 1205, 318, 16780, 11736, 318, 4486, 9638, 889, 318, 4486, 5091, 3233, 267, 8520, 15481, 6831, 731, 994, 825, 1820, 2891, 272, 281, 2715, 9574, 476, 273, 281, 15079, 2668, 8971, 263, 16780, 11736, 318, 4486, 318, 272, 267, 14238, 318, 4486, 318, 273, 11723, 258, 713, 568, 1175, 886, 773, 13463, 961, 2006, 2483, 3698, 1265, 318, 31467, 15481, 9638, 3016, 318, 4486, 267, 1641, 20311, 2187, 825, 1871, 815, 476, 272, 454, 825, 8520, 15481, 815, 476, 271, 454, 825, 1247, 1871, 11203, 1857, 318, 4486, 912, 1038, 1871, 815, 630, 7407, 2608, 1641, 20311, 264, 4939, 476, 1708, 23713, 2767, 454, 1038, 8520, 15481, 6834, 476, 272, 454, 825, 2132, 8520, 15481, 692, 3698, 1205, 318, 16780, 11736, 318, 4486, 4433, 889, 915, 20311, 267, 8520, 15481, 2187, 825, 1883, 815, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 31467, 15481, 2187, 1038, 1883, 815, 630, 4486, 2608, 1641, 20311, 264, 4939, 476, 1708, 23713, 2767, 454, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1883, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2518, 3181, 1872, 454, 825, 3181, 1872, 815, 6936, 454, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 2891, 16344, 17575, 2580, 948, 6889, 15675, 606, 3403, 3758, 269, 4347, 5435, 338, 547, 3403, 17902, 2580, 9949, 6889, 6358, 17902, 2580, 1826, 284, 1598, 994, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 323, 2580, 948, 6889, 5719, 30132, 269, 4347, 5435, 338, 547, 8771, 2580, 2962, 8782, 32697, 4671, 4902, 5073, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 952, 711, 26571, 6155, 912, 1038, 3181, 1872, 815, 8771, 454, 825, 1820, 2891, 5719, 30132, 7154, 593, 5602, 825, 1483, 2745, 2891, 1607, 1058, 1820, 7488, 540, 3181, 1872, 5602, 825, 1292, 263, 16911, 994 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1383, 1577, 781, 2161, 707, 3804, 568, 547, 4688, 8096, 1015, 267, 1822, 538, 513, 1032, 865, 596, 666, 979, 543, 2508, 606, 552, 1260, 12692, 1870, 780, 3086, 1577, 781, 1711, 513, 1544, 547, 3035, 519, 1657, 3804, 13718, 5575, 267, 649, 991, 547, 5173, 2713, 9276, 281, 681, 550, 267, 12014, 267, 1426, 267, 3560, 3092, 269, 2913, 781, 8263, 602, 7140, 856, 547, 581, 8096, 273, 267, 4335, 270, 24629, 269, 3371, 781, 513, 22343, 1907, 596, 666, 946, 1934, 780, 13553, 267, 649, 991, 547, 5173, 875, 1454, 649, 1058, 4688, 829, 3923, 676, 12270, 519, 3804, 2179, 676, 519, 942, 649, 1616, 547, 3035, 519, 3804, 269, 1924, 602, 781, 8096, 1015, 267, 1822, 270, 1321, 815, 8096, 279, 3451, 269, 3451, 270, 24629, 269, 2913, 781, 1175, 5180, 602, 909, 547, 8096, 279, 2412, 270, 24629, 780, 23612, 267, 649, 5173, 938, 10865, 4747, 3804, 865, 649, 917, 875, 1454, 649, 991, 547, 7118, 547, 581, 2111, 547, 4628, 3382, 9276, 543, 3035, 938, 10865, 9494, 3804, 269, 2422, 519, 1739, 3830, 281, 9276, 1341, 10865, 9494, 3804, 269, 1924, 267, 602, 781, 8096, 273, 267, 4335, 1341, 8096, 279, 2412, 815, 8096, 31172, 271, 270, 24629, 610, 8096, 2412, 267, 24699, 270, 20204, 269, 2334, 781, 519, 5934, 2179, 596, 991, 547, 1118, 1142, 3923, 547, 3035, 707, 3804, 780, 31094, 958, 267, 594, 9364, 4363, 596, 1930, 1079, 4871, 6589, 282, 835, 585, 9276, 543, 835, 585, 9494, 2724, 855, 602, 781, 909, 547, 596, 780, 7476, 26133, 630, 307, 2464, 5357, 2020, 2467, 781, 1100, 8969, 2348, 513, 15149, 568, 835, 540, 519, 1655, 2081, 547, 5818, 17258, 538, 519, 2344, 269, 634, 454, 4754, 581, 3144, 676, 4896, 945, 781, 31402, 538, 2296, 547, 1831, 513, 11727, 26613, 270, 9128, 299, 4116, 1472, 519, 1158, 780, 2005, 3217, 1152, 3108, 547, 2347, 519, 1576, 543, 568, 1360, 10097, 269, 2986, 1576, 267, 596, 1223, 979, 519, 2757, 1505, 543, 1205, 513, 4110, 689, 513, 6280, 1862, 855, 713, 568, 519, 10464, 652, 8905, 547, 1205, 14468, 269, 769, 713, 1554, 543, 2085, 267, 1004, 2503, 930, 4990, 540, 13995, 865, 602, 781, 1946, 596, 991, 835, 780, 18794, 6732, 15107, 13257, 692, 2252, 596, 2811, 2469, 547, 4001, 2296, 2228, 2864, 982, 22356, 1287, 596, 3513, 991, 547, 6443, 2228, 5867, 1141, 596, 666, 1265, 1053, 547, 4001, 563, 2252, 596, 9364, 899, 606, 22356, 2816, 1287, 596, 666, 4019, 585, 6009, 593, 2442, 6009, 2572, 538, 519, 1858, 596, 1616, 547, 960, 538, 269, 1809, 267, 585, 1346, 945, 1544, 547, 4001, 2228, 1934, 781, 513, 1592, 540, 930, 2228, 5867, 596, 666, 1129, 909, 585, 2483, 4517, 1454, 811, 269, 1411, 666, 849, 5616, 834, 15697, 2296, 22868, 2580, 834, 2464, 299, 22868, 6732, 257, 543, 4376, 547, 602, 2470, 780, 7476, 15232, 1299, 12706, 513, 3115, 16615, 692, 2791, 723, 1100, 1995, 267, 1100, 10639, 543, 972, 616, 2296, 3610, 856, 972, 945, 723, 811, 1995, 982, 596, 945, 1053, 4782, 547, 979, 3079, 540, 596, 780, 5591, 19048, 267, 621, 781, 519, 1482, 538, 782, 519, 824, 6990, 269, 1809, 267, 621, 781, 711, 513, 1966, 269, 1703, 781, 513, 1259, 547, 6445, 602, 7934, 1360, 3362, 780, 5575, 267, 596, 991, 547, 917, 875, 1082, 3108, 540, 1995, 596, 991, 547, 1205, 596, 3323, 269, 2913, 781, 2161, 476, 1015, 3108, 780, 13553, 267, 979, 856, 543, 2709, 547, 4001, 1004, 693, 606, 5393, 10464, 1942, 610, 1256, 513, 1863, 5662, 865, 789, 666, 1449, 596, 856, 543, 1205, 3054, 513, 1906, 16499, 517, 10118, 780, 23612, 267, 2285, 621, 782, 596, 4312, 3893, 269, 5221, 538, 891, 1101, 1906, 3108, 596, 4465, 1405, 7118, 1454, 267, 855, 596, 3513, 2744, 3407, 1995, 780, 2252, 596, 1705, 782, 519, 960, 1287, 538, 1447, 982, 513, 3018, 596, 1058, 723, 513, 1906, 3108, 540, 1995, 896, 707, 12966, 269, 1411, 666, 6368, 1376, 22589, 593, 707, 1544, 547, 3035, 707, 3804, 540, 9494, 8096, 1015, 267, 1822, 780, 9359, 2423, 940, 692, 1432, 596, 991, 1631, 568, 513, 5812, 6908, 540, 4747, 269, 634, 1259, 547, 3035, 602, 568, 547, 1445, 593, 3478, 2834, 1053, 543, 711, 835, 13726, 269, 3807, 513, 19625, 540, 2834, 1053, 568, 2614, 547, 1205, 513, 11931, 4747, 6908, 780, 2467, 781, 1100, 3551, 1259, 547, 798, 713, 267, 596, 3513, 1175, 723, 547, 1413, 585, 607, 1082, 1053, 607, 596, 666, 543, 4126, 930, 540, 873, 786, 6529, 609, 596, 269, 2986, 1576, 267, 602, 1797, 596, 3513, 991, 547, 2119, 707, 1655, 547, 948, 1142, 2875, 269, 5213, 1405, 1577, 707, 29677, 585, 7274, 25010, 519, 2298, 540, 707, 3450, 780, 28775, 2685, 267, 538, 513, 3275, 262, 942, 596, 1058, 723, 1336, 513, 1906, 1053, 945, 1616, 547, 6529, 1472, 585, 930, 942, 780, 2791, 3513, 991, 547, 3715, 875, 1454, 596, 3513, 5279, 829, 5662, 543, 875, 1082, 3108, 596, 991, 547, 960, 829, 3018, 780, 3086, 1577, 781, 2161, 596, 2811, 2469, 547, 5279, 8096, 2412, 606, 5662, 269, 2334, 1797, 596, 991, 547, 960, 476, 10019, 3108, 538, 513, 3923, 547, 3035, 707, 8096, 274, 267, 22430, 270, 24629, 3804, 630, 15478, 31172, 271, 270, 15478, 2412, 1040, 2334, 781, 476, 2641, 3108, 829, 3018, 630, 10019, 270, 275, 1040, 2334, 781, 476, 275, 268, 276, 3108, 513, 1554, 269, 2986, 1576, 267, 519, 811, 596, 5279, 829, 5662, 267, 519, 1447, 3108, 596, 991, 547, 960, 780, 2791, 666, 1287, 3442, 513, 1907, 971, 607, 5616, 11706, 547, 8430, 707, 3450, 27061, 543, 10891, 707, 1272, 780, 2791, 2811, 20290, 1703, 692, 4415, 513, 3787, 540, 2182, 960, 543, 9639, 596, 3513, 3035, 707, 3853, 19692, 982, 596, 1589, 269, 7454, 540, 782, 267, 596, 2811, 8236, 707, 3853, 1210, 513, 5578, 596, 2907, 723, 780, 7197, 1004, 1152, 5326, 540, 2713, 606, 2653, 1272, 899, 713, 267, 855, 585, 596, 621, 666, 581, 513, 4641, 780, 3383, 1205, 856, 513, 4050, 543, 1957, 543, 1376, 1603, 707, 1272, 1544, 2221, 269, 0, 1012, 476, 6642, 4366, 692, 1240, 267, 279, 4366, 630, 324, 697, 8696, 8536, 5216, 4627, 17288, 32732, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 6642, 5325, 543, 18631, 476, 6642, 5392, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 6434, 275, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 3066, 269, 898, 814, 513, 2698, 540, 476, 278, 6305, 2188, 543, 476, 2190, 2318, 16975, 269, 1703, 616, 476, 279, 267, 25953, 2318, 9981, 630, 1575, 547, 476, 6642, 4366, 264, 602, 616, 5266, 6305, 547, 476, 6642, 4366, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 3066, 454, 1892, 7913, 17848, 476, 273, 692, 1012, 8745, 692, 14112, 2012, 476, 1240, 8536, 476, 279, 4366, 29933, 8536, 5216, 4627, 17288, 32732, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 272, 269, 6434, 275, 279, 6398, 476, 10441, 476, 1240, 269, 279, 4366, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 6642, 4366, 692, 28269, 16748, 1436, 476, 1839, 6398, 476, 866, 6398, 476, 4029, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 274, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 278, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 14056, 279, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1240, 267, 279, 4366, 568, 476, 1839, 6398, 476, 866, 6398, 476, 4029, 269, 4595, 621, 814, 513, 2698, 540, 476, 278, 6305, 2188, 267, 476, 1240, 267, 279, 4366, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 6642, 4366, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 279, 267, 476, 1626, 267, 476, 866, 267, 476, 4029, 267, 476, 3953, 267, 476, 4343, 267, 476, 7830, 267, 476, 10602, 267, 476, 14862, 267, 476, 13923, 267, 476, 27886, 267, 476, 19054, 267, 476, 5392, 277, 267, 476, 6812, 280, 267, 476, 2568, 279, 267, 476, 4200, 273, 267, 476, 14056, 279, 267, 476, 20720, 277, 267, 476, 5325, 272, 273, 267, 476, 280, 5655, 275, 267, 476, 6642, 4366, 692, 2190, 16975, 692, 4634, 16975, 476, 736, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 2190, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 29889, 736, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 20969, 7761, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 12739, 271, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 15389, 269, 25971, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 1556, 269, 25546, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1240, 267, 279, 4366, 666, 581, 5258, 676, 476, 2190, 2318, 16975, 630, 719, 540, 799, 476, 736, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1240, 267, 279, 4366, 264, 568, 476, 2412, 267, 17168, 267, 519, 3328, 568, 476, 272, 267, 27151, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 6642, 4366, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 279, 5038, 271, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 24798, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 21497, 271, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 279, 267, 25953, 2318, 9981, 630, 1652, 982, 476, 1240, 267, 279, 4366, 264, 602, 616, 2941, 31870, 609, 476, 1240, 267, 279, 4366, 269, 1656, 972, 616, 5111, 476, 273, 267, 5611, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 1240, 267, 279, 4366, 780, 1012, 6555, 529, 2225, 540, 476, 6642, 4366, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 273, 476, 271, 476, 274, 476, 273, 476, 275, 476, 271, 476, 273, 692, 763, 1297, 476, 1240, 267, 279, 4366, 568, 16883, 676, 476, 273, 267, 476, 275, 543, 476, 279, 780, 1012, 19032, 540, 476, 6642, 4366, 692, 1892, 25226, 454, 1892, 2806, 1495, 656, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 19750, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1012, 12476, 7503, 630, 6642, 4366, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 1911, 8099, 1911, 1822, 454, 274, 570, 1716, 776, 476, 21854, 18891, 16573, 454, 275, 2372, 15715, 776, 476, 9083, 14338, 876, 454, 276, 2372, 2435, 476, 8099, 271, 4097, 274, 454, 277, 7354, 776, 476, 23417, 15171, 454, 279, 4239, 531, 476, 4510, 277, 2412, 454, 1015, 27252, 476, 6642, 4366, 454, 1321, 13660, 1712, 31565, 513, 12711, 279, 454, 736, 966, 580, 525, 2711, 476, 26604, 279 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 11600, 547, 3391, 596, 888, 5649, 5708, 267, 4249, 267, 6965, 286, 0, 276, 18838, 2055, 454, 276, 631, 10248, 2055, 454, 268, 29110, 2583, 16856, 29935, 17011, 267, 528, 5711, 12862, 855, 11298, 2464, 10691, 23309, 563, 268, 7720, 626, 14333, 281, 9252, 896, 2604, 563, 268, 476, 1428, 268, 1789, 7273, 2604, 630, 27923, 994, 268, 8299, 337, 21319, 7738, 454, 268, 476, 1789, 7643, 454, 268, 513, 1548, 568, 834, 572, 6193, 15560, 257, 2627, 7121, 888, 268, 536, 1215, 1279, 798, 649, 23574, 1216, 3515, 538, 1063, 1142, 3461, 888, 268, 524, 1548, 568, 519, 1826, 540, 10322, 16478, 649, 946, 693, 674, 307, 6717, 888, 268, 546, 1215, 1454, 2604, 568, 1031, 585, 5848, 3002, 10322, 16478, 888, 268, 552, 1548, 1184, 568, 10930, 982, 8261, 7738, 1991, 547, 10322, 16478, 888, 276, 13038, 3903, 2055, 454, 268, 1548, 1281, 543, 24498, 11906, 25824, 1807, 798, 888, 268, 1548, 798, 596, 798, 1310, 596, 723, 10443, 707, 7405, 998, 519, 24318, 21319, 3684, 888, 268, 1548, 616, 930, 1806, 540, 834, 523, 16652, 257, 3615, 888, 268, 1548, 616, 930, 1806, 540, 1713, 23927, 888, 268, 1548, 616, 930, 1806, 540, 834, 572, 6193, 15560, 257, 3615, 888, 276, 6936, 270, 16178, 2055, 454, 3412, 9712, 2299, 11547, 10138, 609, 12853, 543, 1216, 267, 4469, 2313, 1858, 609, 2312, 1216, 29649, 267, 7797, 547, 1268, 538, 5279, 267, 13159, 10071, 1867, 267, 1246, 11540, 5773, 540, 9036, 267, 543, 1246, 519, 1034, 2487, 2022, 1410, 17068, 4808, 3177, 676, 519, 2475, 6583, 331, 322, 2657, 6796, 269, 9890, 1548, 616, 519, 11393, 540, 11906, 966, 8388, 28238, 16478, 888, 5591, 14809, 267, 1434, 585, 2326, 602, 3112, 581, 16271, 547, 9252, 896, 2604, 267, 950, 693, 2953, 10917, 269, 621, 568, 1134, 14018, 585, 8325, 7405, 269, 9890, 1548, 616, 930, 540, 519, 5383, 540, 11906, 966, 8388, 28238, 16478, 888, 288, 572, 10364, 26435, 9890, 1548, 568, 606, 1383, 540, 21536, 16479, 5464, 888, 272, 268, 273, 3108, 9890, 1548, 568, 519, 942, 2039, 585, 3819, 3002, 10322, 16478, 888, 14096, 4113, 674, 910, 476, 15171, 4113, 674, 630, 18605, 4113, 595, 910, 476, 17734, 4113, 595, 264, 9890, 1548, 568, 519, 2837, 2039, 585, 3819, 3002, 10322, 16478, 286, 0, 27455, 5658, 2475, 10966, 7040, 5947, 902, 2429, 1686, 454, 1103, 513, 476, 276, 268, 275, 8917, 267, 519, 10966, 7040, 12199, 2221, 602, 519, 16470, 540, 25141, 2920, 15194, 267, 610, 667, 6865, 288, 267, 729, 796, 6247, 6627, 269, 5221, 540, 713, 15194, 267, 9310, 1482, 20967, 15185, 1058, 1205, 519, 1482, 5313, 2640, 607, 10636, 18400, 15185, 563, 1103, 1776, 3375, 827, 4993, 781, 11330, 476, 279, 267, 519, 10966, 7040, 4956, 621, 1705, 711, 723, 16278, 547, 5873, 519, 11330, 476, 279, 2013, 267, 15603, 1796, 513, 2539, 5480, 15194, 16765, 9506, 11330, 476, 279, 563, 11693, 519, 6612, 540, 1312, 14447, 7365, 15156, 543, 2757, 1235, 267, 891, 3664, 616, 26405, 547, 581, 11786, 563, 4415, 891, 2665, 538, 2247, 267, 1934, 568, 513, 1592, 540, 930, 19506, 10966, 7040, 5947, 902, 689, 1686, 269, 1358, 616, 5258, 883, 2185, 6688, 281, 5947, 902, 16765, 9506, 5313, 1876, 267, 5947, 902, 16765, 9506, 1533, 1876, 267, 5947, 902, 30176, 5313, 1876, 543, 5947, 902, 30176, 1533, 1876, 563, 268, 1412, 291, 3089, 19092, 262, 8250, 16853, 547, 4168, 2483, 268, 18096, 1920, 3792, 1206, 476, 273, 29507, 476, 277, 4374, 6306, 454, 268, 12984, 6379, 15555, 528, 513, 3815, 538, 11318, 540, 2483, 268, 5565, 2367, 9901, 609, 642, 663, 531, 1944, 700, 9169, 5939, 2483, 268, 700, 9169, 5783, 32245, 1079, 1007, 3594, 593, 2250, 2483, 268, 31932, 3282, 7615, 11832, 781, 1560, 1336, 2282, 31996, 531, 454, 268, 4414, 543, 9791, 5589, 21209, 281, 634, 6268, 1184, 2483, 268, 5565, 4168, 26110, 20549, 547, 1685, 2483, 268, 769, 938, 6644, 281, 18096, 7784, 1876, 602, 1862, 476, 5611, 454, 268, 9400, 16026, 281, 2052, 513, 30963, 711, 581, 513, 1862, 476, 7597, 454, 268, 769, 938, 6644, 281, 1715, 15061, 2112, 593, 1862, 476, 7871, 454, 268, 769, 938, 6644, 281, 7316, 814, 519, 1920, 1862, 476, 7871, 454, 268, 20289, 5345, 27255, 281, 1284, 2811, 4742, 513, 4182, 1862, 476, 4343, 454, 268, 14594, 281, 1548, 568, 2048, 21720, 1434, 286, 685, 476, 4029, 454, 268, 7917, 26999, 9116, 281, 4813, 518, 16470, 1862, 476, 3066, 454, 268, 14594, 281, 16497, 585, 15535, 13852, 476, 2764 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 946, 5097, 700, 7582, 585, 741, 1279, 688, 592, 11507, 269, 700, 7582, 568, 3956, 4094, 923, 543, 3340, 2027, 4859, 543, 7829, 563, 10861, 294, 3568, 4412, 2033, 543, 855, 2033, 700, 7582, 3568, 15655, 454, 10170, 267, 1911, 31641, 308, 829, 20645, 540, 700, 7582, 563, 553, 519, 561, 978, 568, 711, 11593, 2139, 607, 899, 595, 7582, 607, 519, 561, 978, 568, 711, 11593, 2139, 607, 899, 595, 7582, 0, 763, 7147, 14130, 814, 5293, 513, 3915, 602, 1131, 3970, 3450, 1978, 3584, 267, 16113, 1346, 602, 31721, 1472, 5198, 543, 10168, 269, 634, 16786, 6221, 729, 835, 540, 476, 1556, 4773, 540, 9086, 29583, 269, 15535, 2806, 321, 2714, 7074, 950, 646, 1572, 585, 513, 2027, 8400, 538, 2038, 5147, 563, 25938, 622, 9291, 476, 274, 2829, 602, 513, 834, 974, 12329, 949, 711, 581, 25997, 547, 1865, 513, 1880, 1699, 2680, 610, 4922, 23503, 543, 4867, 11786, 3390, 540, 1857, 3609, 610, 1514, 12602, 4799, 763, 3915, 568, 513, 1246, 5346, 547, 606, 2907, 5293, 5600, 3915, 602, 2806, 321, 2714, 9896, 538, 2904, 269, 7324, 519, 2242, 538, 590, 289, 476, 274, 568, 519, 8851, 540, 513, 4704, 547, 519, 27173, 918, 12999, 918, 17427, 1373, 834, 332, 528, 958, 4636, 257, 689, 5600, 9291, 476, 4375, 278, 280, 267, 799, 568, 1305, 547, 1831, 1876, 538, 5181, 563, 3719, 609, 811, 982, 476, 2568, 5600, 24273, 8840, 844, 28262, 538, 3210, 547, 7903, 585, 811, 25516, 13359, 4031, 267, 590, 289, 476, 274, 568, 8572, 547, 581, 4547, 909, 585, 4901, 538, 519, 5600, 267, 6028, 922, 2104, 538, 1929, 2692, 563, 4692, 7147, 24273, 581, 18486, 286, 2052, 7147, 24273, 581, 18486, 585, 7904, 4370, 519, 1533, 286, 1548, 1281, 621, 1611, 585, 519, 2027, 8400, 888, 2080, 781, 1018, 649, 917, 827, 519, 1699, 1876, 543, 1018, 8574, 540, 519, 1007, 3915, 1131, 1611, 563, 307, 1410, 553, 543, 1412, 322, 15560, 5198, 3069, 7055, 763, 4890, 3069, 2488, 513, 5943, 585, 1620, 875, 7292, 13103, 2919, 543, 22036, 563, 763, 2278, 540, 670, 289, 476, 4375, 278, 280, 267, 3115, 269, 19378, 570, 1054, 267, 681, 268, 763, 8381, 4133, 267, 5143, 5600, 2818, 602, 2565, 5198, 3069, 7947, 338, 834, 1492, 4341, 540, 513, 1876, 607, 513, 24320, 1047, 585, 519, 25796, 4690, 540, 513, 27581, 3043, 25160, 659, 626, 1977, 2486, 4799, 257, 295, 289, 476, 4375, 278, 280, 568, 827, 3450, 7292, 10103, 676, 10213, 519, 5168, 602, 649, 616, 782, 3160, 267, 1312, 538, 2696, 781, 4064, 543, 938, 15713, 6054, 2437, 646, 3773, 563, 307, 1054, 6069, 993, 2056, 519, 3915, 547, 2154, 602, 8474, 543, 10168, 547, 581, 17814, 607, 20729, 1023, 540, 267, 543, 24017, 689, 267, 519, 15713, 3741, 540, 519, 2136, 2276, 538, 4928, 5528, 563, 19602, 267, 590, 289, 476, 274, 267, 6069, 676, 7354, 269, 21563, 534, 24806, 267, 681, 5336, 710, 7637, 267, 1163, 2432, 593, 602, 2856, 1247, 9427, 8100, 547, 519, 918, 298, 298, 563, 295, 289, 476, 4375, 278, 280, 5288, 269, 590, 289, 476, 274, 281, 9752, 827, 8474, 543, 10168, 609, 267, 1510, 3043, 29686, 454, 763, 5293, 5600, 3915, 729, 29567, 676, 24273, 547, 2154, 3450, 547, 1331, 519, 1739, 543, 1082, 824, 6054, 912, 763, 15713, 6054, 540, 519, 2136, 2276, 267, 1519, 519, 8549, 626, 4574, 543, 519, 13973, 540, 519, 1101, 12493, 5937, 537, 6921, 553, 7521, 454, 310, 761, 902, 689, 19291, 30463, 262, 11356, 267, 634, 3345, 10060, 454, 763, 3883, 540, 27740, 525, 454, 763, 674, 1872, 1438, 32013, 20450, 540, 476, 9692, 274, 543, 476, 6977, 271, 454, 763, 4095, 31203, 2920, 454, 24171, 16962, 779, 4484, 547, 519, 8355, 12064, 19097, 1235, 454, 19365, 12846, 779, 26789, 21805, 19475, 454, 295, 289, 476, 4375, 278, 280, 1131, 2154, 602, 834, 7290, 5566, 6054, 1644, 547, 519, 18523, 18517, 540, 12790, 5095, 257, 581, 6026, 6466, 590, 289, 476, 274, 3568, 1100, 971, 11865, 269, 8409, 6054, 1331, 912, 32354, 13162, 3751, 12789, 10200, 338, 834, 4131, 614, 689, 513, 27257, 808, 841, 257, 543, 834, 296, 5620, 513, 14134, 257, 4633, 454, 763, 772, 2529, 269, 10966, 7040, 779, 3375, 538, 9466, 642, 269, 8274, 540, 4065, 267, 799, 3964, 1153, 17478, 607, 796, 6247, 6627, 454, 763, 590, 5500, 1457, 2920, 540, 476, 4572, 275, 267, 799, 11292, 15114, 547, 6805, 1004, 610, 7111, 4892, 454, 763, 661, 2006, 322, 11692, 1160, 17474, 267, 799, 15685, 10437, 454, 763, 17629, 16672, 540, 5274, 7126, 454, 763, 476, 2918, 628, 13338, 17203, 267, 799, 1500, 519, 13359, 2085, 476, 1240, 1296, 2025, 454, 763, 772, 2529, 269, 7040, 540, 2561, 324, 1023, 585, 519, 715, 12764, 18065, 3375, 538, 21780, 14162, 642, 269, 31689, 267, 513, 1153, 964, 1122, 12198, 2013, 856, 540, 4993, 543, 24888, 547, 9466, 642, 269, 8274, 540, 4065, 454, 293, 1042, 15104, 30463, 779, 21931, 540, 519, 5020, 540, 19291, 30463, 267, 606, 1977, 32013, 454, 763, 1272, 543, 960, 540, 595, 14008, 932, 1511, 345, 454, 763, 1272, 543, 960, 540, 26541, 2803, 13535, 1068, 320, 454, 763, 834, 20931, 543, 2956, 540, 519, 2021, 779, 27049, 3350, 257, 547, 2744, 519, 1318, 547, 8917, 267, 1519, 519, 16672, 540, 13329, 9323, 543, 12591, 676, 19626, 645, 269, 20900, 543, 2806, 580, 841, 17566, 454, 763, 1272, 543, 1568, 540, 3220, 269, 670, 10725, 623, 269, 25661, 807, 267, 513, 7147, 3540, 2924, 12167, 543, 13653, 540, 519, 22542, 17072, 454, 763, 1977, 22542, 17072, 267, 799, 23647, 585, 519, 2924, 540, 3571, 3966, 923, 267, 3226, 585, 18884, 454, 295, 1716, 663, 14162, 642, 269, 7147, 267, 513, 19506, 3540, 2924, 2013, 4180, 1813, 1184, 585, 782, 6803, 543, 7292, 2516, 454, 8867, 6558, 540, 2136, 5824, 1977, 22893, 267, 519, 1101, 18487, 11204, 1977, 3540, 2924, 3919, 454, 295, 289, 476, 4375, 278, 280, 849, 1131, 2154, 3450, 834, 1492, 1686, 540, 3043, 29686, 267, 1519, 855, 711, 3908, 547, 519, 9872, 540, 8474, 267, 519, 552, 1872, 523, 923, 3350, 267, 543, 519, 27173, 918, 12999, 918, 17427, 267, 543, 519, 2081, 538, 799, 621, 568, 25432, 4636, 4799, 763, 1592, 540, 1018, 6054, 590, 289, 476, 274, 1131, 2154, 547, 581, 6026, 568, 16113, 10156, 912, 763, 13973, 540, 519, 1101, 12493, 5937, 537, 6921, 553, 7521, 563, 763, 8549, 6406, 7126, 2920, 540, 476, 3422, 275, 563, 763, 476, 1724, 628, 14821, 547, 519, 9139, 267, 799, 27618, 8474, 563, 763, 476, 1691, 628, 14821, 267, 799, 5795, 5449, 10437, 15114, 543, 519, 1318, 547, 8917, 563, 763, 476, 866, 628, 14821, 267, 799, 11292, 2021, 519, 1318, 547, 8917, 563, 763, 8978, 2078, 1063, 7147, 543, 6792, 543, 968, 1492, 4763, 540, 519, 17104, 2551, 538, 7147, 3034, 5278, 524, 643, 923, 1983, 971, 607, 519, 2702, 547, 968, 323, 9057, 710, 519, 10727, 540, 1344, 2959, 3034, 1432, 670, 289, 476, 4375, 278, 280, 543, 590, 289, 476, 274, 723, 538, 1455, 454, 27066, 547, 552, 1872, 523, 923, 543, 519, 918, 298, 298, 5749, 1405, 3769, 538, 590, 289, 476, 274, 267, 855, 1312, 12014, 17246, 573, 891, 3584, 689, 1373, 5941, 912, 6546, 835, 5198, 610, 3023, 568, 20244, 9120, 547, 1776, 454, 2304, 1367, 267, 676, 16495, 540, 741, 5198, 610, 3023, 267, 568, 20244, 22457, 267, 3023, 626, 610, 26568, 267, 2436, 29596, 610, 796, 4621, 19290, 454, 2304, 1367, 781, 5837, 1915, 666, 581, 5462, 676, 741, 5198, 610, 3023, 454, 2304, 1367, 12217, 5539, 585, 3527, 8149, 538, 519, 2250, 676, 824, 2818, 540, 741, 5198, 610, 3023, 454, 2304, 1367, 1058, 1745, 9636, 267, 16203, 267, 2587, 340, 880, 267, 610, 1022, 824, 1106, 540, 5626, 11605, 593, 2272, 540, 741, 5198, 610, 3023, 454, 763, 2418, 540, 20519, 7100, 543, 2182, 960, 616, 22457, 610, 3023, 626, 610, 941, 2813, 676, 2818, 540, 513, 1880, 5198, 547, 1727, 816, 2818, 540, 1776, 5198, 454, 763, 4417, 540, 8474, 538, 519, 2136, 2276, 27648, 519, 3020, 15713, 540, 519, 4182, 454, 306, 18561, 543, 10168, 616, 4376, 824, 982, 24017, 689, 267, 20729, 1023, 540, 267, 610, 14286, 547, 2661, 909, 547, 519, 834, 2246, 5782, 545, 1336, 3741, 540, 519, 2136, 2276, 4840, 18770, 665, 919, 267, 7855, 543, 1053, 723, 6829, 1312, 6161, 543, 10539, 936, 1018, 519, 6069, 3915, 1131, 1611, 585, 13460, 563, 5278, 1533, 1876, 16234, 543, 2818, 540, 7147, 262, 3557, 8274, 540, 4065, 267, 799, 13327, 525, 519, 1646, 540, 6437, 4441, 585, 1857, 3506, 267, 723, 1767, 602, 519, 6054, 711, 3769, 538, 590, 289, 476, 274, 616, 711, 17049, 689, 1373, 6026, 269, 1358, 8044, 519, 6437, 4441, 786, 581, 513, 5943, 3610, 666, 4228, 2390, 563, 307, 1410, 553, 5600, 24273, 945, 13264, 844, 28262, 5329, 3915, 689, 14027, 454, 13295, 2484, 267, 519, 1533, 14130, 5795, 3803, 13170, 547, 590, 289, 476, 274, 593, 606, 476, 1240, 268, 275, 8917, 267, 609, 8370, 24273, 15534, 1247, 538, 6115, 547, 6443, 5600, 24273, 538, 513, 13889, 936, 717, 8008, 13359, 12014, 563, 763, 5600, 267, 2705, 267, 3112, 3398, 590, 289, 476, 274, 1813, 547, 513, 3668, 540, 844, 28262, 538, 519, 2539, 12068, 269, 2859, 982, 476, 2568, 5600, 24273, 2611, 538, 6115, 267, 667, 5861, 1421, 543, 723, 711, 1767, 950, 789, 1544, 547, 2132, 563, 5649, 519, 2407, 8747, 540, 670, 289, 476, 4375, 278, 280, 267, 590, 289, 476, 274, 454, 1607, 2376, 8385, 7902, 593, 21388, 1977, 21178, 919, 2006, 281, 7147, 14130, 562, 1460, 525, 918, 298, 298, 4704, 538, 6069, 2565, 5198, 3069, 3915, 0, 20776, 19828, 12700, 6168, 7108, 8127, 281, 3657, 1358, 26419, 17164, 4115, 888, 20112, 8127, 723, 1044, 2442, 10130, 585, 1082, 1296, 267, 855, 972, 779, 1869, 513, 2603, 547, 1451, 827, 873, 269, 3245, 741, 9670, 15325, 547, 741, 13916, 547, 1114, 2010, 540, 5054, 267, 891, 3165, 2611, 513, 9814, 547, 1082, 540, 721, 269, 2290, 2243, 602, 1419, 14340, 568, 2436, 610, 711, 4154, 8127, 616, 5963, 20757, 269, 2913, 779, 1491, 513, 1413, 693, 930, 9670, 5013, 827, 4154, 8127, 543, 1265, 856, 563, 1432, 1684, 7108, 8127, 16202, 888, 2691, 621, 2501, 547, 4154, 8127, 2732, 267, 972, 779, 513, 2603, 540, 20849, 1344, 856, 972, 269, 3509, 1004, 8263, 602, 4154, 8127, 616, 20757, 267, 855, 519, 5168, 568, 811, 7294, 982, 602, 269, 7108, 8127, 616, 9631, 16622, 2803, 267, 2495, 789, 3548, 1312, 2030, 543, 3662, 2339, 269, 1358, 991, 513, 7059, 2732, 602, 2882, 1312, 5946, 543, 11950, 547, 3251, 2635, 563, 1103, 519, 3552, 267, 4154, 8127, 3335, 3548, 12748, 10664, 267, 7786, 267, 12933, 30702, 267, 543, 824, 1507, 7068, 269, 769, 24811, 267, 789, 666, 581, 10480, 5010, 4154, 8127, 1166, 1389, 267, 26005, 267, 610, 824, 16887, 19775, 3536, 269, 1358, 786, 849, 3548, 2661, 610, 13792, 3536, 899, 1973, 19095, 267, 1490, 710, 20544, 267, 543, 546, 7469, 11844, 563, 2710, 7108, 8127, 10261, 29641, 888, 15987, 4154, 8127, 991, 5946, 547, 3251, 2635, 267, 789, 786, 849, 4324, 689, 513, 9867, 2732, 540, 5388, 269, 769, 519, 3552, 267, 789, 1419, 3548, 11432, 15634, 267, 799, 2488, 873, 609, 11950, 269, 769, 24811, 267, 596, 666, 2709, 873, 11273, 5388, 899, 17112, 267, 17436, 267, 22156, 267, 543, 1990, 1075, 577, 7236, 269, 29641, 849, 1683, 1898, 8324, 543, 6886, 267, 865, 621, 779, 1271, 547, 1331, 873, 538, 707, 4154, 8127, 779, 2732, 563, 3674, 898, 15822, 547, 16376, 7108, 8127, 29133, 888, 20112, 8127, 666, 9108, 3548, 1507, 5666, 540, 10709, 16469, 971, 607, 29656, 22872, 14132, 610, 9269, 12271, 269, 898, 779, 1271, 547, 2057, 9761, 16469, 899, 28019, 267, 607, 891, 666, 2014, 9667, 2042, 269, 898, 779, 849, 1271, 547, 1118, 2386, 782, 5779, 568, 11273, 1354, 621, 779, 2016, 547, 707, 4154, 8127, 563, 1432, 4033, 16639, 3657, 15822, 585, 7108, 8127, 888, 20112, 8127, 666, 849, 3548, 6151, 5613, 543, 5388, 267, 971, 607, 18683, 267, 13212, 267, 543, 23858, 269, 29759, 1058, 581, 2759, 909, 883, 1507, 4773, 267, 1247, 5388, 666, 581, 2016, 2898, 269, 898, 779, 1271, 547, 2057, 1022, 5613, 610, 5388, 602, 723, 1044, 5701, 609, 13851, 563, 1432, 16639, 9701, 2142, 3680, 539, 888, 2467, 616, 930, 3536, 602, 1058, 2760, 581 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6574, 1699, 786, 26632, 622, 519, 1034, 1379, 269, 769, 713, 2013, 267, 519, 6252, 5547, 3217, 519, 14735, 780, 13839, 4700, 1548, 568, 519, 5223, 540, 1379, 1063, 519, 1079, 5686, 540, 11387, 2496, 11405, 281, 1280, 519, 6252, 4999, 267, 623, 815, 28258, 476, 273, 681, 552, 336, 28872, 815, 30285, 1911, 275, 589, 264, 273, 630, 4200, 277, 21508, 355, 3738, 815, 476, 1015, 269, 6860, 26334, 269, 1280, 519, 3126, 4999, 267, 623, 815, 568, 273, 3725, 336, 29679, 815, 30285, 5400, 288, 264, 273, 263, 10219, 271, 21508, 355, 3738, 815, 476, 279, 269, 271, 692, 342, 30476, 269, 634, 5223, 540, 519, 1079, 568, 623, 338, 18025, 335, 815, 476, 279, 270, 1015, 269, 6860, 815, 1547, 279, 780, 1724, 269, 866, 264, 6333, 7612, 594, 281, 513, 4700, 1403, 1100, 1699, 568, 547, 2095, 998, 681, 276, 267, 1018, 1590, 581, 3020, 286, 8827, 281, 634, 6453, 6749, 2066, 681, 476, 276, 1590, 581, 4642, 952, 972, 568, 547, 581, 1100, 1699, 998, 621, 267, 799, 1797, 519, 6453, 540, 18745, 589, 543, 645, 593, 519, 17250, 1590, 581, 9838, 780, 11592, 589, 681, 272, 692, 305, 692, 305, 276, 692, 305, 274, 692, 321, 4700, 1403, 22622, 815, 476, 274, 269, 3607, 24311, 543, 966, 289, 815, 476, 276, 269, 1839, 24311, 630, 32622, 589, 543, 645, 616, 3989, 538, 519, 17250, 547, 519, 1318, 1070, 538, 799, 4287, 786, 1699, 2095, 998, 681, 276, 2496, 273, 692, 305, 692, 275, 692, 11592, 645, 692, 309, 692, 334, 16658, 13543, 594, 8827, 281, 7351, 2095, 568, 3989, 607, 519, 4287, 538, 799, 2318, 5279, 19057, 2951, 630, 817, 2541, 2318, 10997, 1223, 1847, 998, 513, 5547, 1040, 2334, 1797, 1699, 8928, 689, 519, 2362, 6207, 5122, 1761, 630, 11592, 645, 693, 966, 289, 815, 476, 276, 269, 1839, 692, 14179, 1206, 264, 547, 519, 2539, 6207, 5122, 1761, 630, 11592, 589, 693, 22622, 815, 476, 274, 269, 3607, 24311, 6393, 322, 4700, 9717, 519, 3510, 13890, 538, 3487, 536, 543, 14322, 681, 276, 815, 476, 274, 19315, 916, 267, 1018, 568, 519, 1699, 998, 681, 276, 286, 8827, 281, 32114, 681, 276, 815, 476, 274, 21508, 355, 267, 519, 1699, 998, 681, 276, 786, 581, 281, 966, 276, 815, 1775, 476, 276, 681, 476, 276, 2073, 1141, 966, 276, 568, 519, 6453, 6749, 2066, 681, 276, 630, 328, 4318, 1421, 476, 276, 269, 1839, 24311, 910, 476, 274, 269, 3607, 24311, 815, 476, 272, 269, 8660, 24311, 1040, 10691, 292, 281, 901, 6453, 1871, 1058, 581, 5265, 1572, 667, 309, 276, 607, 621, 18575, 513, 6453, 3017, 692, 24992, 519, 1079, 5011, 540, 513, 19919, 269, 898, 3884, 1405, 20922, 602, 1259, 1317, 21575, 723, 1831, 27823, 609, 741, 10035, 269, 901, 1433, 786, 979, 609, 519, 15007, 269, 1411, 991, 547, 8275, 602, 950, 596, 1294, 513, 966, 2165, 538, 513, 5547, 4082, 267, 519, 966, 568, 711, 3954, 7627, 606, 5122, 1761, 693, 513, 1880, 1448, 855, 2864, 606, 5122, 1761, 3017, 1063, 1079, 2798, 269, 32027, 538, 519, 2418, 11729, 1384, 9262, 272, 692, 309, 276, 815, 1775, 276, 305, 276, 692, 272, 269, 8660, 815, 1775, 276, 630, 274, 21508, 355, 264, 1775, 276, 815, 1547, 8287, 993, 1186, 780, 1724, 269, 736, 264, 769, 519, 5547, 538, 7612, 4083, 267, 519, 1699, 998, 519, 476, 1321, 21508, 355, 637, 626, 528, 568, 1547, 276, 993, 1186, 269, 513, 4700, 1548, 568, 519, 1699, 998, 519, 476, 279, 21508, 355, 19919, 2496, 1428, 692, 309, 334, 692, 11405, 281, 634, 6453, 2066, 519, 476, 1321, 19315, 332, 19919, 568, 519, 1482, 607, 519, 6453, 2066, 519, 476, 279, 19315, 332, 19919, 269, 2334, 1797, 602, 610, 692, 1321, 692, 279, 692, 20983, 13543, 4083, 692, 263, 1321, 19315, 916, 7565, 269, 276, 589, 264, 815, 630, 279, 19315, 916, 264, 328, 267, 1775, 815, 1547, 4037, 993, 1186, 780, 321, 4700, 1548, 568, 519, 1379, 3761, 781, 6453, 286, 8827, 281, 634, 2698, 1699, 1373, 6537, 689, 519, 1379, 3761, 568, 3160, 547, 519, 1547, 276, 993, 1186, 998, 519, 476, 1321, 19315, 332, 19919, 543, 519, 1547, 4037, 993, 1186, 998, 519, 476, 279, 19315, 332, 19919, 267, 610, 476, 272, 269, 1839, 993, 1186, 269, 634, 6453, 2066, 519, 1379, 3761, 568, 519, 1482, 607, 519, 6453, 2066, 519, 476, 1428, 19315, 332, 19919, 3773, 547, 519, 6453, 2066, 519, 476, 1321, 19315, 332, 19919, 630, 528, 267, 952, 596, 9364, 4782, 267, 2066, 519, 476, 279, 19315, 332, 19919, 734, 7474, 1297, 786, 581, 519, 1482, 1040, 23560, 519, 2979, 11729, 966, 815, 630, 1428, 19315, 916, 7565, 272, 269, 1839, 589, 264, 1341, 630, 1321, 19315, 916, 7565, 269, 276, 589, 264, 815, 476, 2190, 269, 4037, 24311, 780, 1724, 269, 2641, 264, 769, 7612, 8633, 267, 681, 273, 568, 8519, 269, 32114, 606, 4998, 1379, 3761, 267, 1018, 4523, 547, 281, 513, 4700, 681, 273, 781, 6453, 282, 634, 6453, 2066, 681, 476, 273, 568, 4371, 3586, 676, 519, 6007, 269, 28206, 2084, 519, 2450, 540, 519, 19919, 1281, 4986, 547, 519, 6453, 2066, 519, 19919, 780, 309, 334, 692, 305, 692, 272, 692, 11405, 1384, 20983, 13543, 8633, 692, 321, 4700, 681, 273, 781, 1699, 16963, 11405, 281, 7937, 332, 781, 4521, 3081, 519, 6453, 2066, 513, 19919, 543, 519, 1699, 998, 519, 19919, 616, 1644, 607, 966, 678, 815, 1775, 305, 269, 1403, 966, 678, 3788, 519, 1482, 543, 681, 11081, 267, 1775, 1590, 2333, 780, 322, 4700, 681, 272, 781, 6453, 16963, 11405, 281, 634, 6453, 2066, 681, 476, 272, 568, 4371, 693, 966, 522, 676, 519, 6007, 267, 4061, 18174, 532, 1472, 609, 681, 273, 786, 798, 4986, 547, 681, 272, 781, 6453, 610, 1699, 780, 323, 4700, 519, 1379, 26632, 730, 676, 681, 273, 2496, 279, 7761, 692, 305, 692, 273, 692, 22069, 1903, 734, 2419, 269, 476, 1724, 630, 3722, 1299, 9823, 27989, 2020, 11405, 281, 634, 1379, 26632, 730, 676, 1022, 19919, 568, 3160, 547, 1775, 273, 305, 269, 1403, 681, 11081, 676, 267, 2161, 267, 513, 3815, 540, 1079, 630, 328, 4318, 1421, 621, 30556, 1070, 519, 1699, 786, 979, 909, 676, 513, 3815, 540, 1079, 630, 5408, 3487, 536, 585, 519, 24117, 1040, 1306, 1379, 568, 513, 1599, 540, 1699, 16302, 1247, 1152, 1373, 513, 5276, 1599, 540, 4187, 267, 10300, 1324, 519, 4187, 1247, 30945, 519, 1699, 786, 2333, 519, 1379, 676, 513, 3815, 540, 1079, 269, 23560, 713, 28879, 267, 649, 1205, 281, 623, 1245, 815, 1775, 273, 305, 692, 303, 2908, 815, 630, 273, 328, 264, 273, 27562, 270, 273, 2020, 284, 630, 275, 328, 273, 7565, 305, 270, 273, 264, 815, 476, 273, 328, 273, 305, 815, 476, 273, 303, 1245, 780, 1724, 269, 2420, 264, 769, 7612, 10001, 267, 782, 519, 27856, 616, 519, 1482, 543, 782, 519, 4998, 1379, 2959, 616, 519, 1482, 269, 1403, 519, 1699, 538, 519, 3126, 5547, 568, 1547, 275, 993, 1186, 267, 1018, 568, 519, 1699, 6537, 689, 27215, 538, 519, 6252, 5547, 2496, 305, 692, 309, 334, 692, 309, 334, 692, 305, 692, 305, 692, 20983, 13543, 10001, 8827, 281, 901, 568, 513, 834, 2224, 707, 2212, 257, 1966, 269, 1280, 519, 3126, 5547, 267, 649, 5173, 519, 6007, 6453, 607, 281, 27215, 815, 1775, 3725, 336, 815, 1775, 27562, 1341, 681, 264, 815, 30285, 275, 513, 7565, 273, 305, 264, 815, 1547, 279, 305, 269, 1280, 519, 6252, 5547, 267, 519, 6007, 6453, 966, 522, 30285, 279, 305, 607, 7229, 1657, 264, 568, 519, 1482, 607, 519, 6453, 2066, 1142, 19919, 630, 637, 626, 832, 538, 6252, 723, 519, 1482, 6453, 2066, 873, 1040, 4635, 7937, 332, 781, 4521, 593, 1142, 540, 1346, 27856, 11729, 281, 27215, 815, 1775, 272, 305, 269, 32027, 538, 519, 6453, 27215, 11729, 1384, 269, 279, 305, 815, 1775, 272, 305, 692, 328, 272, 815, 1547, 279, 993, 1186, 780, 2026, 681, 568, 519, 1482, 538, 1312, 6252, 8371, 267, 1547, 279, 993, 1186, 568, 6537, 998, 1312, 8371, 1818, 519, 2698, 1699, 6537, 689, 519, 6007, 476, 272, 269, 277, 993, 1186, 780, 1724, 269, 2537, 264, 1763, 626, 832, 681, 272, 815, 476, 1015, 21508, 355, 2073, 681, 273, 815, 476, 1321, 21508, 355, 2073, 543, 681, 274, 815, 476, 1626, 21508, 355, 616, 4448, 538, 6252, 269, 1403, 519, 1699, 998, 519, 476, 1321, 21508, 355, 19919, 568, 476, 273, 993, 1186, 267, 3313, 519, 14768, 998, 519, 824, 1079, 27856, 269, 476, 9262, 274, 692, 305, 692, 11405, 281, 18833, 519, 1699, 543, 4187, 3238, 538, 835, 540, 519, 2582, 9113, 626, 528, 8371, 2636, 721, 547, 3313, 519, 6453, 2066, 1142, 7936, 630, 2421, 4214, 267, 519, 6453, 2066, 1022, 835, 7936, 540, 513, 6252, 4999, 786, 3160, 519, 6453, 2066, 1022, 824, 7936, 1040, 1306, 971, 281, 966, 815, 1775, 273, 305, 273, 692, 284, 630, 273, 513, 7565, 1321, 21508, 355, 264, 815, 476, 2190, 24311, 780, 734, 2690, 681, 272, 815, 476, 1015, 21508, 355, 1384, 309, 815, 1775, 272, 305, 272, 692, 734, 2690, 681, 274, 815, 476, 1626, 21508, 355, 1384, 328, 272, 815, 966, 24250, 272, 815, 630, 2190, 642, 19422, 1015, 21508, 355, 264, 815, 476, 273, 269, 275, 993, 1186, 780, 309, 815, 1775, 274, 305, 274, 692, 328, 274, 815, 966, 24250, 274, 815, 630, 2190, 642, 19422, 1626, 21508, 355, 264, 815, 476, 272, 269, 276, 993, 1186, 780, 1724, 269, 2190, 264, 589, 6007, 29789, 20205, 476, 277, 993, 1186, 540, 1699, 547, 513, 476, 3393, 21508, 355, 19919, 585, 476, 1789, 3764, 269, 8074, 281, 24269, 942, 568, 11368, 883, 513, 1966, 267, 972, 568, 513, 1434, 4960, 596, 786, 2901, 581, 2324, 609, 1379, 630, 1740, 270, 22780, 942, 264, 610, 1699, 630, 8408, 8429, 513, 1448, 270, 22780, 942, 1040, 769, 713, 2013, 267, 621, 568, 1312, 780, 320, 4700, 1215, 1454, 5279, 10596, 998, 519, 19919, 286, 8827, 281, 634, 4214, 540, 1699, 568, 7117, 14121, 267, 1141, 7117, 568, 519, 2698, 5279, 8429, 676, 513, 1448, 538, 519, 5547, 1282, 513, 942, 8884, 512, 269, 3502, 532, 602, 942, 1590, 581, 538, 7643, 543, 1210, 519, 1699, 4214, 11729, 281, 1775, 815, 7117, 14121, 692, 336, 815, 621, 815, 630, 277, 513, 25011, 263, 1789, 1295, 7565, 2568, 3813, 26553, 13580, 815, 476, 1015, 267, 8517, 4172, 331, 558, 2125, 780, 321, 4700, 1215, 1454, 960, 1281, 519, 29789, 798, 286, 8827, 281, 769, 2474, 540, 5122, 6724, 267, 519, 5122, 1761, 3017, 630, 328, 4318, 1421, 31221, 309, 815, 966, 264, 1063, 1079, 2798, 11224, 519, 960, 270, 8408, 2139, 547, 1022, 5279, 602, 7575, 1063, 519, 2798, 269, 1306, 971, 281, 654, 815, 7117, 309, 269, 1306, 519, 6453, 3017, 2066, 513, 19919, 568, 966, 815, 3352, 267, 649, 666, 2328, 281, 654, 815, 7117, 263, 597, 2020, 9262, 275, 692, 22069, 1903, 734, 2419, 269, 476, 1724, 630, 3722, 1299, 9823, 27989, 2020, 284, 630, 1015, 267, 8517, 595, 25011, 263, 277, 993, 1186, 7565, 3393, 21508, 355, 13580, 815, 476, 273, 269, 280, 343, 11793, 795, 537, 956, 780, 322, 4700, 1215, 1454, 1379, 1281, 519, 29789, 5838, 286, 8827, 281, 5295, 568, 18005, 3989, 607, 519, 960, 829, 1770, 942, 2944, 593, 610, 676, 513, 1062, 269, 4635, 602, 4214, 11729, 281, 623, 815, 654, 14121, 815, 630, 273, 269, 280, 343, 11793, 795, 537, 956, 8358, 27007, 1789, 1295, 7565, 2568, 3813, 26553, 13580, 815, 476, 272, 269, 277, 343, 9818, 26334, 780, 1724, 269, 1839, 264, 589, 1379, 3761, 2488, 476, 10219, 26334, 547, 606, 476, 1240, 21508, 355, 19919, 780, 9616, 281, 634, 1379, 3177, 547, 519, 476, 1240, 21508, 355, 19919, 568, 476, 10219, 26334, 269, 2334, 1797, 519, 19919, 666, 630, 663, 1281, 264, 26632, 622, 476, 10219, 795, 537, 956, 540, 1648, 829, 2034, 630, 342, 30476, 616, 795, 537, 956, 270, 16149, 6393, 320, 4700, 14419, 519, 1699, 998, 519, 19919, 269, 8827, 281, 4635, 519, 4214, 540, 1379, 267, 649, 1205, 281, 623, 815, 1775, 273, 681, 692, 328, 815, 630, 303, 24250, 264, 272, 270, 273, 815, 27883, 10219, 530, 19422, 1240, 21508, 355, 13580, 272, 270, 273, 815, 476, 273, 269, 5038, 993, 1186, 780, 321, 4700, 14419, 519, 6453, 2066, 519, 19919, 269, 8827, 281, 634 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 546, 267, 543, 512, 333, 585, 713, 5311, 281, 512, 275, 284, 910, 280, 2073, 512, 1428, 815, 910, 4029, 692, 273, 269, 8734, 476, 1704, 267, 476, 1220, 275, 692, 2162, 8065, 810, 325, 296, 11803, 692, 1805, 3530, 9622, 7978, 454, 763, 2474, 538, 606, 12980, 5311, 2141, 4268, 676, 513, 3586, 912, 320, 266, 678, 267, 513, 266, 476, 273, 337, 267, 513, 266, 476, 274, 337, 267, 3092, 865, 602, 18946, 543, 15654, 1079, 2474, 3947, 678, 780, 272, 269, 3371, 649, 1590, 723, 630, 274, 343, 268, 272, 9984, 630, 343, 266, 272, 6661, 678, 284, 630, 278, 343, 268, 273, 9984, 630, 274, 343, 268, 272, 1040, 22695, 648, 519, 678, 543, 4194, 585, 1535, 780, 273, 269, 2060, 606, 12980, 5311, 596, 666, 1265, 519, 834, 320, 2071, 257, 540, 782, 2338, 676, 19011, 1645, 519, 1101, 543, 2063, 2474, 540, 519, 5311, 269, 634, 2040, 540, 562, 2474, 568, 1175, 562, 2053, 602, 3328, 780, 1103, 1880, 519, 3328, 540, 519, 1101, 476, 1321, 2474, 568, 630, 320, 272, 266, 513, 1321, 8358, 273, 865, 519, 2040, 540, 519, 1101, 476, 1321, 2474, 568, 476, 1321, 5416, 272, 266, 513, 1321, 8358, 273, 284, 476, 277, 5416, 272, 266, 513, 1321, 6661, 910, 7761, 780, 20118, 267, 519, 2040, 540, 519, 1101, 476, 2190, 2474, 568, 476, 1321, 5416, 272, 266, 513, 2190, 6661, 476, 13893, 780, 8170, 1576, 267, 952, 649, 1491, 513, 272, 607, 519, 1101, 2165, 543, 546, 607, 519, 1455, 3017, 267, 513, 1321, 284, 513, 272, 266, 476, 1556, 323, 543, 513, 2190, 284, 513, 272, 266, 2537, 323, 563, 21607, 1154, 1346, 883, 519, 1079, 4834, 585, 519, 18304, 3947, 596, 476, 273, 4834, 538, 519, 1079, 796, 330, 12495, 267, 546, 543, 513, 272, 269, 4495, 596, 917, 1346, 267, 596, 666, 5173, 513, 2764, 284, 513, 272, 266, 476, 2767, 323, 543, 519, 2040, 568, 476, 2764, 5416, 272, 266, 513, 2764, 22535, 11357, 8358, 273, 284, 476, 1691, 5416, 272, 266, 513, 2764, 6393, 320, 272, 284, 513, 543, 3045, 284, 513, 266, 630, 333, 268, 272, 264, 323, 865, 512, 275, 630, 6343, 594, 723, 1572, 513, 275, 284, 513, 266, 476, 274, 323, 284, 910, 280, 543, 512, 1428, 284, 513, 266, 476, 1691, 323, 284, 910, 4029, 269, 16534, 1346, 1079, 4834, 585, 513, 543, 546, 543, 1287, 512, 333, 284, 513, 266, 630, 333, 268, 272, 264, 323, 269, 0, 2710, 3733, 595, 335, 551, 322, 4147, 692, 288, 834, 290, 335, 551, 322, 4147, 257, 1627, 292, 257, 568, 513, 3044, 6310, 2165, 585, 513, 20902, 3586, 4082, 799, 568, 8246, 547, 4368, 11186, 4834, 543, 814, 3435, 799, 616, 6296, 269, 769, 11186, 4147, 21338, 267, 513, 595, 335, 551, 322, 1599, 267, 610, 834, 15153, 257, 568, 1031, 780, 763, 595, 335, 551, 322, 4147, 538, 4147, 2186, 666, 581, 7000, 607, 281, 1627, 263, 1535, 264, 815, 910, 330, 343, 273, 267, 1141, 1627, 263, 1535, 264, 616, 519, 595, 335, 551, 322, 4147, 543, 621, 568, 606, 1271, 2165, 269, 634, 7117, 851, 540, 519, 4147, 568, 519, 595, 335, 551, 322, 3586, 267, 6466, 519, 1535, 851, 568, 519, 595, 335, 551, 322, 1599, 780, 2467, 616, 476, 275, 595, 335, 551, 322, 3252, 609, 3617, 4781, 281, 918, 275, 267, 918, 278, 267, 918, 274, 267, 543, 700, 275, 269, 1284, 786, 1631, 1491, 513, 1413, 693, 891, 595, 335, 551, 322, 3252, 543, 875, 789, 616, 12193, 780, 298, 275, 910, 634, 918, 851, 540, 513, 595, 335, 551, 322, 4147, 568, 519, 595, 335, 551, 322, 1599, 269, 901, 595, 335, 551, 322, 1599, 666, 849, 581, 2854, 538, 9864, 13980, 971, 607, 281, 630, 343, 273, 910, 586, 273, 19422, 1535, 266, 586, 1040, 1677, 8207, 585, 918, 275, 649, 9062, 621, 676, 519, 2953, 595, 335, 551, 322, 1599, 281, 737, 263, 1535, 264, 815, 1535, 273, 267, 586, 273, 267, 610, 1535, 3917, 780, 298, 278, 910, 634, 918, 278, 595, 335, 551, 322, 4147, 814, 513, 3028, 540, 519, 1826, 281, 1535, 275, 344, 273, 910, 586, 275, 343, 274, 815, 476, 271, 269, 634, 595, 335, 551, 322, 1599, 568, 1287, 16611, 676, 1535, 547, 1205, 281, 1535, 273, 1341, 586, 273, 815, 476, 271, 269, 1284, 1287, 723, 547, 2333, 519, 595, 335, 551, 322, 1599, 609, 737, 547, 1205, 281, 737, 263, 1535, 264, 815, 1535, 273, 543, 586, 273, 780, 298, 274, 910, 634, 595, 335, 551, 322, 1599, 4147, 568, 918, 274, 1341, 918, 273, 815, 476, 271, 269, 1284, 1287, 9062, 676, 737, 585, 918, 274, 780, 298, 274, 263, 512, 264, 910, 634, 595, 335, 551, 322, 1599, 3830, 529, 918, 274, 263, 512, 264, 1341, 918, 273, 263, 512, 1040, 1284, 9062, 676, 737, 585, 918, 274, 263, 512, 1040, 3767, 649, 9062, 676, 519, 595, 335, 551, 322, 1599, 799, 3947, 281, 918, 273, 263, 512, 264, 815, 918, 263, 512, 264, 2053, 737, 780, 763, 595, 335, 551, 322, 1599, 568, 849, 5219, 547, 607, 834, 298, 275, 257, 1317, 540, 519, 3355, 338, 540, 519, 5022, 918, 543, 476, 275, 269, 918, 5267, 595, 335, 551, 322, 267, 543, 519, 2262, 834, 15153, 257, 568, 14733, 607, 834, 27204, 268, 4599, 6231, 763, 595, 335, 551, 322, 4147, 568, 1851, 519, 1292, 4485, 540, 21338, 11186, 12596, 269, 769, 519, 595, 335, 551, 322, 1599, 4147, 267, 519, 595, 335, 551, 322, 1599, 568, 1101, 16611, 676, 519, 3617, 595, 335, 551, 322, 1599, 267, 799, 786, 2709, 519, 595, 335, 551, 322, 1599, 780, 763, 595, 335, 551, 322, 1599, 568, 1287, 5258, 676, 519, 595, 335, 551, 322, 1599, 799, 786, 7941, 519, 595, 335, 551, 322, 1599, 883, 513, 1483, 851, 543, 513, 14070, 851, 269, 901, 2488, 519, 595, 335, 551, 322, 2165, 780, 15563, 267, 519, 595, 335, 551, 322, 2165, 786, 581, 5258, 676, 519, 19362, 543, 519, 14009, 547, 1205, 519, 5223, 269, 1284, 616, 1303, 27434, 547, 519, 1318, 11804, 812, 2427, 543, 519, 2165, 834, 336, 6231, 763, 595, 335, 551, 322, 4147, 568, 513, 2629, 6240, 547, 10146, 950, 20547, 513, 11186, 4147, 269, 634, 595, 335, 551, 322, 1599, 568, 3274, 835, 1935, 547, 4194, 513, 595, 335, 551, 322, 4147, 269, 634, 4485, 585, 21338, 595, 335, 551, 322, 12596, 2874, 540, 281, 13737, 4502, 17883, 267, 26458, 267, 4998, 5690, 267, 6310, 3028, 610, 519, 595, 335, 551, 322, 1599, 19406, 780, 295, 790, 25126, 1677, 1684, 2659, 595, 335, 551, 322, 4147, 692, 2252, 596, 1131, 899, 547, 1831, 5432, 609, 519, 31763, 545, 4147, 267, 1287, 596, 2154, 547, 1360, 1101, 1376, 676, 3168, 998, 519, 2228, 31763, 545, 2985, 269, 901, 2985, 786, 7866, 596, 875, 547, 8415, 519, 4147, 676, 1210, 707, 13691, 269, 634, 7778, 786, 849, 1397, 596, 875, 547, 3132, 707, 1378, 7223, 4834, 547, 4217, 596, 1353, 585, 707, 5049, 780, 6524, 596, 666, 1174, 875, 547, 1353, 585, 513, 595, 335, 551, 322, 4147, 267, 596, 1590, 1101, 10146, 1818, 946, 540, 707, 13691, 269, 1411, 786, 1265, 856, 875, 547, 4945, 593, 519, 1599, 10569, 593, 707, 13691, 267, 607, 1134, 607, 875, 547, 1826, 519, 5022, 269, 1703, 616, 1614, 9343, 540, 1599, 10569, 593, 707, 13691, 269, 3962, 4737, 814, 2185, 3252, 281, 16816, 267, 674, 272, 267, 674, 273, 267, 543, 674, 274, 780, 3528, 11319, 16816, 543, 674, 273, 267, 596, 666, 9062, 543, 7941, 519, 4502, 676, 1776, 1297, 267, 971, 607, 519, 1297, 476, 277, 269, 1635, 11319, 16816, 543, 674, 274, 267, 596, 666, 946, 519, 476, 274, 6113, 1379, 780, 2691, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1883, 538, 519, 1297, 596, 616, 3843, 547, 9062, 543, 7941, 269, 1677, 9062, 513, 1297, 676, 3294, 267, 596, 786, 2046, 16816, 543, 2473, 267, 1141, 2473, 568, 519, 1297, 596, 6999, 547, 2333, 269, 1879, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 1883, 538, 519, 1297, 596, 616, 12394, 547, 7941, 780, 1607, 1568, 519, 3169, 1482, 609, 519, 1297, 476, 277, 267, 4849, 596, 786, 1152, 1883, 538, 519, 1079, 9704, 602, 616, 3670, 6306, 269, 7053, 267, 950, 596, 2046, 16816, 543, 674, 274, 267, 596, 786, 8415, 519, 476, 275, 628, 1379, 269, 1717, 267, 950, 596, 7903, 16816, 543, 674, 275, 267, 596, 786, 946, 519, 1483, 1379, 602, 596, 723, 4362, 547, 581, 519, 1034, 3617, 585, 707, 1966, 780, 3528, 1210, 519, 16816, 543, 674, 1599, 10569, 267, 596, 666, 9062, 267, 7941, 267, 543, 1287, 946, 519, 4542, 585, 519, 476, 274, 6113, 1379, 269, 1403, 596, 2154, 547, 2333, 606, 9642, 1297, 540, 1535, 781, 267, 1287, 596, 786, 991, 547, 4283, 606, 1256, 1297, 780, 1607, 568, 711, 519, 2013, 952, 596, 616, 3843, 547, 798, 1945, 1950, 267, 971, 607, 2810, 1079, 1256, 2338, 269, 1280, 3236, 267, 952, 596, 1616, 547, 9062, 606, 9642, 1297, 540, 1535, 781, 267, 1287, 596, 786, 2154, 547, 4283, 9642, 2338, 269, 901, 568, 2523, 3020, 952, 596, 616, 12394, 547, 4137, 856, 519, 2626, 540, 513, 595, 335, 551, 322, 4147, 780, 2252, 596, 6999, 547, 2981, 606, 9642, 1297, 883, 606, 1256, 1297, 267, 1287, 596, 786, 2154, 547, 2046, 16816, 543, 674, 275, 269, 1403, 596, 798, 711, 917, 875, 547, 9062, 676, 2338, 593, 741, 1378, 267, 1287, 596, 786, 2154, 547, 8415, 519, 5022, 1535, 267, 513, 536, 267, 524, 267, 543, 546, 780, 4407, 596, 666, 9062, 543, 7941, 676, 946, 540, 519, 2338, 267, 789, 616, 513, 2603, 4443, 547, 8415, 950, 596, 666, 1491, 513, 1413, 693, 519, 1379, 7515, 585, 519, 2338, 269, 1411, 786, 723, 547, 798, 930, 1382, 950, 596, 7620, 1376, 547, 946, 519, 2338, 267, 2705, 1310, 513, 1247, 267, 621, 786, 581, 2034, 2470, 269, 2991, 596, 723, 2965, 2919, 707, 1378, 7223, 4834, 267, 596, 786, 723, 519, 2702, 547, 1711, 707, 1378, 12093, 7515, 780, 763, 595, 335, 551, 322, 16754, 568, 711, 519, 1152, 1505, 547, 8207, 595, 335, 551, 322, 4834, 269, 898, 568, 1898, 547, 1451, 811, 827, 29890, 267, 799, 3096, 519, 25355, 11532, 267, 543, 1287, 946, 595, 335, 551, 322, 3435, 547, 4368, 2152, 269, 2060, 713, 1935, 267, 596, 666, 1174, 827, 7285, 543, 875, 547, 4194, 2042, 1510, 2348, 547, 1491, 1776, 7223, 1362, 780, 2005, 568, 2556, 547, 3801, 543, 1826, 607, 3533, 607, 2009, 267, 2094, 17511, 786, 948, 596, 917, 827, 519, 3432, 596, 616, 17511, 269, 901, 786, 4217, 596, 2328, 707, 6114, 18334, 780, 28324, 25126, 1677, 6875, 3733, 595, 335, 551, 322, 4147, 692, 288, 595, 335, 551, 322, 4147, 568, 513, 31633, 540, 513, 5276, 4147, 269, 1280, 3236, 267, 950, 596, 11690, 538, 1535, 30381, 17070, 585, 513, 2016, 4147, 267, 596, 10536, 519, 1871, 540, 1535, 269, 1879, 596, 11690, 538, 1535, 30381, 585, 519, 4147, 586, 284, 322, 267, 596, 10536, 519, 702, 2195, 540, 1535, 543, 586, 267, 799, 1683, 596, 513, 1267, 540, 524, 269, 1635, 1210, 713, 4909, 6240, 547, 782, 519, 4834, 602, 649, 723, 6836, 267, 649, 666, 1631, 8207, 595, 335, 551, 322, 12596, 585, 782, 519, 702, 2195, 540, 1535, 267, 543, 649, 666, 798, 621, 3533, 543, 7561, 780, 2467, 616, 1082, 2228, 2200, 11593, 2139, 602, 1683, 5360, 21747, 610, 6578, 7874, 595, 335, 551, 322, 4834, 547, 4194, 585, 782, 519, 2418, 540, 1535, 267, 1519, 519, 1942, 540, 942, 585, 596, 547, 581, 2111, 547, 1118, 519, 1034, 540, 741, 595, 335, 551, 322, 4147, 4305, 6351, 3028, 269, 1452, 2200, 2356, 798, 711, 991, 513, 20478, 1942, 610, 1022, 1826, 540, 5092, 780, 763, 6114, 13859, 616, 519, 1267, 540, 1950, 8686, 926, 762, 595, 335, 551, 322, 4834, 602, 723, 1044, 12193, 269, 901, 568, 849, 519, 2013, 950, 519, 4756, 1031, 568, 606, 796, 30009, 1297, 780, 763, 595, 335, 551, 322, 4147, 568, 513, 2165, 602, 568, 606, 10137, 540, 513, 5276, 4147, 269, 2290, 5413, 540, 1210, 595, 335, 551, 322, 12596, 568, 602, 789, 616, 811, 2596, 982, 519, 5276, 12596, 269, 1358, 616, 4443, 547, 4368, 585, 782 ]

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

[ 18869, 3018, 1297, 454, 272, 4449, 567, 1948, 18869, 1554, 1297, 630, 476, 272, 815, 11728, 12467, 24257, 546, 18994, 334, 8971, 4590, 262, 1220, 273, 268, 6734, 268, 1556, 7055, 24257, 546, 269, 1598, 1111, 830, 2891, 260, 323, 270, 260, 332, 270, 260, 344, 5602, 262, 1556, 270, 6734, 270, 6349, 7055, 24257, 546, 269, 1598, 1111, 830, 2891, 260, 288, 4939, 323, 269, 4939, 289, 4939, 312, 5602, 262, 300, 10185, 476, 1556, 269, 4728, 476, 1220, 273, 7055, 24257, 1412, 763, 2715, 272, 348, 568, 2715, 271, 281, 260, 323, 9574, 519, 2715, 273, 348, 568, 2715, 271, 281, 260, 289, 20467, 8339, 8971, 5560, 267, 834, 1485, 2580, 834, 24629, 5602, 31415, 515, 1554, 568, 476, 1556, 267, 519, 3923, 568, 4728, 25692, 0, 5035, 7665, 3891, 777, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 269, 515, 777, 815, 1496, 271, 6540, 825, 1219, 2450, 4311, 2187, 1038, 2132, 7003, 4311, 269, 515, 777, 9984, 272, 692, 825, 1219, 19389, 318, 1575, 4311, 267, 1775, 2187, 1038, 1247, 1775, 3436, 476, 272, 543, 1582, 269, 515, 777, 5157, 316, 3436, 1582, 269, 515, 777, 5157, 2260, 273, 14158, 2018, 1582, 269, 515, 777, 5157, 3910, 1582, 269, 515, 777, 5157, 2260, 273, 316, 815, 1582, 269, 515, 777, 5157, 2260, 273, 3910, 1582, 269, 515, 777, 5157, 2639, 2018, 1775, 815, 1775, 2260, 273, 692, 825, 1219, 19389, 5091, 1144, 4311, 267, 967, 2187, 1038, 1247, 967, 2608, 476, 273, 10922, 1582, 25915, 10031, 2018, 1007, 318, 785, 815, 967, 454, 2018, 952, 1582, 269, 515, 777, 314, 273, 2608, 967, 316, 3436, 1582, 269, 515, 777, 314, 785, 14158, 3546, 1007, 318, 785, 815, 967, 265, 273, 454, 2018, 952, 476, 273, 2608, 967, 1341, 476, 272, 10922, 1582, 25915, 3890, 543, 1582, 269, 515, 777, 314, 273, 265, 785, 1341, 476, 272, 316, 3436, 1582, 269, 515, 777, 314, 2908, 318, 785, 14158, 3546, 1007, 318, 785, 815, 476, 273, 265, 785, 1341, 476, 272, 454, 2018, 952, 1007, 318, 785, 2652, 967, 912, 3546, 2736, 454, 2018, 1582, 269, 515, 777, 314, 785, 3910, 1582, 269, 515, 777, 314, 2908, 318, 785, 316, 815, 1582, 269, 515, 777, 314, 2908, 318, 785, 3910, 1582, 269, 515, 777, 314, 785, 2639, 2018, 967, 815, 1007, 318, 785, 692, 825, 1219, 7696, 4311, 267, 6221, 2187, 1038, 1582, 269, 515, 777, 6910, 263, 14403, 994, 1038, 1582, 12500, 889, 1076, 318, 1575, 4311, 25915, 31156, 825, 1219, 1628, 318, 515, 777, 318, 5976, 10734, 889, 1076, 5091, 1144, 4311, 267, 1250, 8217, 2187, 1038, 1582, 269, 515, 777, 269, 2169, 754, 30044, 8217, 994, 1038, 585, 1775, 538, 2039, 4311, 25915, 19572, 476, 271, 267, 910, 272, 2187, 2018, 1582, 12500, 889, 1076, 5091, 1144, 9217, 2020, 825, 1219, 1628, 318, 515, 777, 318, 5976, 10734, 889, 1076, 318, 1575, 4311, 267, 1250, 8217, 2187, 1038, 1582, 269, 515, 777, 269, 2169, 754, 30044, 8217, 994, 1038, 585, 1775, 538, 2039, 263, 272, 267, 1582, 25915, 3890, 266, 272, 2187, 2018, 1582, 12500, 889, 1076, 318, 1575, 9217, 2020, 825, 1219, 1205, 26174, 4311, 2187, 1038, 952, 1582, 25915, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 2891, 515, 777, 568, 8900, 5602, 1038, 2132, 1582, 269, 515, 777, 314, 272, 6540, 825, 1219, 18419, 26174, 4311, 2187, 1038, 952, 1582, 25915, 3890, 2652, 476, 271, 912, 2018, 6318, 1401, 4003, 2891, 515, 777, 568, 8900, 5602, 1038, 5021, 815, 1582, 269, 515, 777, 314, 272, 2639, 1038, 1582, 269, 515, 777, 314, 272, 316, 815, 1582, 269, 515, 777, 15631, 272, 2639, 1038, 1582, 269, 515, 777, 21014, 8987, 272, 994, 1038, 1582, 12500, 889, 1076, 5091, 1144, 263, 272, 994, 1038, 2132, 5021, 692, 825, 1219, 2312, 4311, 2187, 1038, 1582, 269, 515, 777, 815, 1496, 271, 6540, 454, 515, 777, 815, 7665, 3891, 777, 4590, 515, 777, 12500, 4265, 318, 515, 777, 318, 5976, 10734, 889, 1076, 318, 1575, 8443, 273, 267, 476, 275, 267, 476, 277, 267, 476, 275, 267, 476, 276, 267, 476, 274, 267, 476, 277, 7481, 2745, 263, 515, 777, 269, 515, 777, 994, 515, 777, 269, 27234, 4590, 515, 777, 12500, 4265, 318, 515, 777, 318, 5976, 10734, 889, 1076, 5091, 1144, 8443, 273, 267, 476, 275, 267, 476, 277, 267, 476, 275, 267, 476, 276, 267, 476, 274, 267, 476, 277, 7481, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 515, 777, 27044, 263, 280, 994, 2745, 263, 515, 777, 10947, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 19709, 8541, 26174, 15405, 2745, 263, 515, 777, 269, 515, 777, 994, 2745, 263, 515, 777, 25915, 28829, 0, 3698, 2040, 28237, 19906, 272, 267, 1551, 273, 2187, 825, 2040, 284, 271, 454, 825, 585, 1775, 538, 2039, 12759, 19906, 272, 15892, 1038, 2040, 23785, 2855, 272, 5157, 30297, 1551, 273, 5157, 2639, 825, 1820, 9497, 260, 323, 257, 260, 8999, 2020, 320, 17342, 1015, 267, 2412, 267, 7830, 267, 1015, 2639, 321, 17342, 736, 267, 2004, 267, 3583, 267, 1015, 6540, 338, 2794, 6055, 5416, 14720, 264, 0, 5814, 556, 692, 335, 284, 6151, 17750, 9497, 9373, 10957, 834, 2020, 343, 18989, 692, 6112, 1535, 912, 825, 952, 7003, 9638, 264, 283, 277, 543, 7003, 9638, 264, 285, 1626, 912, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 320, 22271, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 288, 19053, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 271, 268, 280, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 711, 556, 269, 14142, 2891, 314, 259, 258, 287, 316, 2580, 335, 2187, 1038, 2736, 454, 825, 8640, 556, 269, 14142, 19629, 338, 2580, 335, 2187, 1038, 2736, 454, 825, 3116, 912, 1038, 1535, 25716, 454, 1038, 1820, 2891, 11749, 573, 10957, 5602, 1038, 2736, 454, 604, 1535, 912, 825, 1820, 9497, 1103, 20777, 10957, 8442, 0, 3698, 1455, 6600, 29679, 2187, 825, 678, 17342, 2639, 825, 952, 521, 2652, 1496, 14158, 1038, 2132, 678, 454, 825, 8640, 535, 2525, 338, 912, 1038, 2132, 535, 22562, 825, 585, 1775, 538, 2039, 12759, 4433, 15892, 1038, 585, 795, 538, 2039, 630, 6352, 6600, 15892, 2018, 952, 521, 5157, 316, 2652, 535, 14728, 14158, 3546, 678, 6910, 4433, 5157, 7481, 3546, 2736, 28329, 825, 2132, 678, 692, 10233, 272, 815, 22373, 16446, 2580, 834, 16675, 2580, 834, 7775, 1052, 2580, 834, 19669, 19312, 3097, 10233, 273, 815, 22373, 14937, 2580, 834, 16675, 2580, 834, 19669, 2580, 834, 303, 1074, 257, 6540, 337, 284, 21720, 263, 10233, 272, 267, 10233, 273, 2020, 2745, 16868, 994, 2745, 2891, 324, 6470, 1505, 5602, 2745, 263, 3553, 263, 10233, 272, 264, 261, 1305, 630, 10233, 273, 4917, 2745, 2891, 11795, 2397, 689, 1592, 1079, 5602, 2745, 17338, 263, 3553, 263, 10233, 272, 9984, 1305, 263, 10233, 273, 4297, 2020, 2745, 2891, 16655, 15419, 3149, 17342, 272, 267, 273, 16427, 279, 267, 271, 2639, 2745, 263, 3149, 994, 2745, 32384, 263, 3149, 4297, 0, 692, 5228, 20313, 1104, 6581, 826, 7531, 5035, 1007, 11966, 10031, 825, 1219, 6449, 8181, 9191, 1345, 267, 11907, 2187, 1038, 1582, 21606, 815, 1239, 454, 1038, 1582, 12785, 815, 7183, 454, 1038, 1582, 269, 18876, 815, 7183, 692, 3698, 24609, 27316, 17107, 825, 28364, 815, 6843, 692, 825, 7117, 815, 6581, 826, 10797, 825, 1247, 28364, 1384, 1038, 952, 28364, 269, 18876, 912, 2018, 7117, 269, 1584, 263, 2017, 337, 269, 18876, 2020, 1038, 952, 28364, 12785, 2652, 7183, 543, 711, 7117, 269, 24105, 10031, 2018, 28364, 12785, 815, 7117, 10947, 4590, 2018, 28364, 815, 28364, 12785, 454, 1038, 3116, 912, 2018, 28364, 815, 28364, 12785, 7531, 825, 2132, 6843, 7531, 3698, 1820, 8266, 263, 3650, 2567, 22322, 825, 952, 711, 2212, 281, 22322, 1038, 2132, 454, 825, 1247, 263, 3650, 2567, 22322, 1038, 1820, 2891, 24001, 2668, 8971, 263, 3650, 21606, 1070, 1439, 815, 834, 834, 264, 22322, 1038, 2212, 815, 2212, 12785, 454, 22322, 258, 30905, 3009, 22322, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 9166, 22322, 11434, 454, 825, 1948, 4132, 1592, 540, 476, 1724, 3097, 825, 1126, 1724, 815, 1007, 11966, 263, 1626, 264, 3097, 825, 1126, 1724, 269, 18876, 815, 1007, 11966, 263, 274, 264, 3097, 11434, 454, 825, 1948, 4132, 5903, 540, 476, 1015, 3097, 825, 2212, 272, 815, 1007, 11966, 263, 275, 264, 3097, 825, 2212, 272, 12785, 815, 1007, 11966, 263, 736, 264, 3097, 825, 2212, 272, 12785, 269, 18876, 815, 1007, 11966, 263, 273, 264, 1948, 21609, 540, 476, 736, 3097, 825, 2212, 272, 12785, 12785, 815, 1007, 11966, 263, 1724, 264, 3097, 825, 2212, 272, 12785, 12785, 269, 18876, 815, 1126, 1724, 3097, 11434, 454, 825, 1948, 4132, 540, 476, 280, 3097, 825, 1126, 280, 815, 1007, 11966, 263, 866, 264, 3097, 825, 1126, 280, 12785, 815, 1007, 11966, 263, 1428, 264, 3097, 22322, 825, 1948, 4132, 5903, 540, 476, 1704, 3097, 825, 1126, 1704, 815, 1007, 11966, 263, 280, 264, 3097, 825, 1126, 1704, 12785, 815, 1007, 11966, 263, 279, 264, 3097, 825, 1126, 1704, 269, 18876, 815, 1126, 280, 3097, 22322, 825, 1948, 4132, 5903, 540, 476, 278, 3097, 825, 2212, 273, 815, 1007, 11966, 263, 1704, 264, 3097, 825, 2212, 273, 12785, 815, 1007, 11966, 263, 277, 264, 3097, 825, 2212, 273, 269, 18876, 815, 1126, 1704, 3097, 11434, 454, 825, 1948, 6301, 5903, 3097, 825, 2212, 815, 1007, 11966, 263, 1015, 264, 3097, 825, 2212, 269, 18876, 815, 2212, 272, 3097, 825, 2212, 12785, 815, 1007, 11966, 263, 276, 264, 3097, 825, 2212, 12785, 12785, 815, 1007, 11966, 263, 1321, 264, 3097, 825, 2212, 12785, 12785, 12785, 815, 1007, 11966, 263, 278, 264, 3097, 825, 2212, 12785, 12785, 12785, 269, 18876, 815, 2212, 273, 3097, 825, 2212, 12785, 12785, 12785, 12785, 815, 1007, 11966, 263, 1556, 264, 3097, 22322, 825, 24609, 263, 3650, 264, 3097, 22322, 825, 1820, 19629, 14503, 520, 1084, 539, 1592, 568, 281, 14307, 1439, 815, 834, 8442, 22322, 825, 1820, 8266, 263, 3650, 264, 8528, 672, 692, 672, 692 ]

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

[ 7992, 5045, 547, 5045, 7147, 543, 6792, 563, 1103, 4832, 267, 596, 666, 1265, 873, 538, 21906, 1633, 267, 3168, 585, 5452, 543, 6978, 19512, 610, 519, 17573, 5521, 563, 1691, 269, 8832, 674, 5585, 518, 454, 301, 4899, 674, 5585, 619, 616, 1804, 3574, 701, 1188, 619, 267, 1063, 519, 2450, 540, 513, 3775, 514, 543, 513, 7715, 267, 609, 6960, 880, 7801, 543, 3109, 9634, 267, 13063, 267, 543, 524, 637, 30105, 543, 2699, 593, 519, 562, 1901, 269, 634, 9207, 1938, 540, 2766, 543, 13617, 17207, 616, 6505, 5835, 538, 9456, 5017, 543, 2699, 538, 7262, 5017, 563, 5445, 666, 581, 1336, 593, 519, 2666, 3168, 585, 17605, 543, 22404, 538, 18137, 610, 4104, 8728, 269, 8409, 602, 9742, 538, 4516, 610, 14522, 22109, 547, 7013, 2829, 267, 855, 6382, 267, 789, 666, 581, 1336, 782, 1032, 936, 519, 2539, 476, 4366, 563, 2791, 666, 4482, 811, 8832, 674, 5585, 619, 547, 707, 18147, 29650, 609, 647, 564, 543, 3109, 3282, 30011, 5452, 563, 1428, 269, 595, 25729, 654, 1314, 9405, 454, 290, 25729, 654, 1314, 342, 902, 616, 17715, 1514, 12779, 6960, 5017, 593, 519, 2212, 267, 9221, 267, 543, 30160, 267, 799, 535, 3547, 547, 12457, 593, 519, 1394, 543, 12209, 543, 2766, 269, 4256, 17987, 568, 12779, 5835, 267, 543, 972, 568, 6505, 5835, 593, 519, 9133, 269, 1358, 723, 513, 7522, 3109, 9633, 936, 741, 4064, 543, 6505, 2699, 593, 519, 13617, 339, 2354, 563, 5445, 9742, 538, 4516, 1354, 16144, 547, 519, 7013, 2475, 585, 5162, 269, 1358, 616, 17055, 782, 1032, 538, 7187, 2475, 2829, 269, 1358, 1118, 513, 1164, 1790, 17097, 1289, 543, 666, 581, 1336, 538, 10874, 787, 26965, 267, 538, 3574, 4133, 267, 543, 2059, 12535, 563, 2414, 4482, 595, 25729, 654, 1314, 342, 902, 547, 707, 18147, 267, 2030, 5065, 4054, 543, 19211, 609, 1507, 4829, 971, 607, 3028, 9440, 267, 2915, 6229, 267, 15118, 23803, 267, 5162, 9440, 267, 543, 17761, 628, 1941, 269, 1411, 666, 849, 2119, 4829, 593, 3760, 29650, 563, 1626, 269, 5600, 654, 1066, 454, 31359, 654, 27231, 616, 1507, 562, 1180, 525, 5296, 6960, 5017, 609, 18632, 3046, 1042, 12209, 543, 21217, 543, 513, 5493, 518, 11563, 269, 6601, 5338, 538, 1034, 2829, 1354, 4955, 7992, 547, 519, 2484, 5045, 543, 6792, 585, 5162, 563, 31359, 654, 27231, 666, 581, 1336, 538, 1394, 29288, 267, 11614, 543, 1930, 18137, 25061, 585, 7786, 267, 543, 20151, 267, 971, 607, 22404, 267, 30746, 267, 543, 1274, 342, 12127, 538, 11453, 25985, 269, 1358, 666, 1419, 581, 1336, 10069, 13443, 5577, 4771, 998, 8126, 956, 543, 1970, 8371, 609, 741, 21217, 909, 267, 16069, 547, 2206, 741, 28292, 5152, 563, 31359, 654, 27231, 616, 18979, 585, 741, 2450, 269, 1879, 621, 2501, 547, 3478, 519, 1655, 9566, 9475, 267, 789, 786, 1419, 3771, 817, 3677, 5017, 267, 3006, 1951, 21794, 5798, 610, 9566, 13530, 856, 540, 513, 9566, 3135, 789, 1616, 563, 2791, 666, 4482, 811, 5600, 654, 27231, 547, 707, 18147, 676, 6028, 25985, 540, 11453, 610, 8380, 909, 513, 9566, 4216, 563, 1704, 269, 5600, 5685, 577, 454, 31359, 5685, 2583, 723, 513, 2699, 2212, 543, 6089, 538, 519, 9038, 543, 6960, 3613, 516, 8898, 7801, 538, 519, 8951, 269, 21231, 267, 1152, 538, 7262, 2829, 789, 941, 5189, 547, 519, 9456, 2829, 543, 723, 2944, 1360, 1134, 267, 1256, 11319, 856, 519, 31947, 5685, 577, 563, 31359, 1710, 2583, 666, 581, 1336, 538, 11614, 267, 11396, 267, 4104, 8728, 267, 543, 18147, 29650, 269, 1358, 666, 581, 1336, 538, 26776, 2516, 602, 616, 2182, 547, 4413, 269, 5600, 1710, 577, 3049, 593, 5452, 267, 19512, 267, 543, 4829, 267, 1519, 555, 16824, 267, 28693, 267, 10027, 1845, 267, 3284, 878, 1824, 267, 726, 4548, 267, 22229, 267, 3109, 11241, 267, 543, 4453, 338, 563, 2791, 666, 4482, 811, 5600, 5685, 2583, 547, 18147, 29650, 609, 3109, 3282, 30011, 5452, 610, 562, 344, 329, 518, 5452, 538, 8546, 29650, 610, 3760, 29650, 563, 1240, 269, 14730, 31991, 9947, 1723, 454, 291, 1046, 31991, 9947, 6523, 616, 838, 541, 4900, 602, 616, 1114, 4778, 4470, 593, 519, 1533, 269, 1358, 616, 3622, 1793, 622, 23469, 538, 519, 7532, 543, 3109, 267, 3043, 267, 543, 6960, 538, 519, 7178, 563, 5445, 666, 581, 1336, 538, 1930, 543, 13148, 3574, 539, 2127, 267, 1419, 593, 519, 2666, 267, 543, 616, 1455, 2066, 519, 11782, 269, 2368, 2611, 17055, 782, 1032, 538, 519, 7262, 2475, 2829, 543, 538, 519, 29630, 1014, 15142, 269, 8409, 602, 9742, 538, 4516, 543, 14522, 22109, 5045, 538, 5162, 547, 1454, 540, 519, 2136, 2276, 563, 2791, 666, 4482, 811, 14730, 31991, 9947, 6523, 547, 18147, 29650, 609, 513, 3099, 540, 5452, 971, 607, 3109, 3282, 30011, 5452, 267, 562, 344, 329, 518, 267, 29618, 8970, 267, 2113, 2280, 267, 543, 30637, 269, 25957, 29650, 610, 16559, 593, 519, 2666, 616, 1655, 563, 866, 269, 14117, 8573, 22981, 2782, 321, 2401, 454, 312, 3641, 8573, 22981, 2782, 4565, 619, 616, 12457, 609, 30303, 540, 5835, 593, 519, 3068, 267, 5011, 267, 543, 678, 2794, 543, 3043, 538, 519, 12209, 269, 12339, 2297, 949, 581, 5594, 6960, 267, 543, 5162, 5017, 616, 5493, 518, 6960, 609, 6505, 5835, 678, 7927, 543, 5011, 7432, 6505, 5835, 543, 12457, 1586, 538, 5614, 563, 5475, 9960, 15866, 538, 4516, 267, 789, 22109, 538, 1804, 2338, 5045, 2066, 1034, 540, 519, 7013, 543, 3844, 2829, 543, 519, 7414, 11076, 267, 543, 2429, 6792, 543, 6239, 3013, 563, 312, 3641, 8573, 22981, 2782, 4565, 619, 666, 581, 1336, 538, 598, 26448, 7733, 267, 2523, 1282, 519, 9960, 4005, 269, 4438, 5162, 267, 789, 666, 581, 1336, 538, 1930, 2127, 609, 2927, 1746, 19211, 269, 769, 4832, 267, 789, 3548, 7786, 5097, 543, 593, 9194, 267, 543, 538, 5162, 267, 789, 6140, 4829, 267, 1519, 15922, 9440, 543, 14589, 1250, 337, 1479, 563, 2791, 666, 4482, 14117, 8573, 22981, 2782, 4565, 619, 547, 707, 18147, 609, 30011, 5452, 267, 647, 564, 267, 986, 529, 1231, 267, 543, 24113, 7423, 563, 736, 269, 9412, 623, 15607, 517, 454, 305, 1442, 623, 15607, 976, 616, 4544, 880, 12457, 609, 1079, 3109, 13164, 593, 519, 13617, 543, 3109, 593, 519, 2766, 9133, 269, 1358, 723, 3352, 1938, 1417, 11563, 17207, 543, 10538, 4064, 563, 5445, 616, 1455, 538, 4872, 855, 849, 3643, 1394, 29288, 547, 1265, 1426, 593, 519, 2666, 269, 2368, 4872, 723, 3921, 514, 1734, 1996, 8023, 25190, 976, 607, 789, 616, 2808, 10860, 563, 2641, 269, 670, 8543, 8381, 701, 14982, 454, 763, 670, 8543, 8381, 701, 14982, 666, 581, 1336, 2066, 1034, 540, 3345, 3013, 267, 4849, 930, 540, 519, 2484, 5045, 269, 1358, 723, 513, 1507, 8755, 540, 2699, 693, 519, 1394, 540, 741, 9843, 855, 616, 15866, 3109, 543, 3043, 563, 5445, 616, 5594, 3677, 982, 741, 1413, 899, 519, 13560, 344, 8381, 701, 14982, 543, 609, 513, 3476, 3915, 269, 1358, 666, 581, 1336, 538, 1804, 4054, 543, 666, 581, 4862, 26378, 952, 596, 6432, 585, 873, 563, 295, 8543, 8381, 701, 14982, 779, 2732, 568, 6140, 7786, 267, 2523, 16793, 540, 3574, 1532, 1681, 22404, 855, 849, 17605, 267, 22404, 267, 10987, 267, 729, 1186, 267, 30746, 267, 543, 20151, 563, 2791, 666, 4482, 811, 670, 8543, 8381, 701, 1188, 619, 609, 647, 564, 29650, 267, 855, 849, 24113, 543, 3109, 3282, 30011, 5452, 267, 2523, 538, 5162, 563, 2420, 269, 3864, 10060, 1782, 454, 28158, 10060, 13530, 616, 711, 5065, 855, 616, 1631, 835, 540, 519, 1034, 3875, 5152, 18346, 269, 1358, 616, 6006, 344, 3109, 5017, 609, 3352, 1938, 1417, 13711, 267, 3039, 267, 543, 4544, 18565, 563, 8256, 30872, 513, 11641, 676, 930, 1813, 547, 741, 10728, 2623, 267, 891, 5017, 8038, 538, 1804, 267, 26776, 1166, 4169, 543, 666, 581, 2938, 829, 3481, 538, 2516, 593, 519, 1283, 540, 4054, 610, 10760, 936, 4610, 538, 1166, 4169, 563, 30252, 13530, 3548, 15866, 7786, 267, 1519, 22404, 267, 13733, 543, 30746, 267, 3618, 19095, 267, 543, 20151, 269, 1358, 849, 3548, 4829, 267, 1519, 10027, 1845, 267, 2868, 569, 15708, 267, 15273, 11241, 267, 9098, 595, 872, 704, 267, 2040, 659, 267, 543, 3109, 11241, 267, 607, 1134, 607, 9274, 543, 5452, 563, 2791, 666, 4482, 811, 3864, 10060, 13530, 547, 707, 18147, 29650, 609, 3109, 3282, 30011, 5452, 267, 647, 564, 267, 29618, 8970, 267, 543, 30637, 563, 2419, 6235, 590, 1706, 4900, 616, 28795, 267, 1279, 26904, 5017, 609, 513, 12457, 880, 17987, 543, 6960, 543, 3109, 3613, 516, 8898, 1394, 267, 609, 513, 15309, 344, 13862, 543, 3109, 3750, 1899, 269, 769, 5162, 267, 519, 4778, 616, 811, 1016, 706, 539, 563, 17954, 5338, 936, 1454, 540, 3345, 3013, 543, 4516, 1287, 10760, 547, 6792, 543, 8419, 610, 538, 519, 2484, 5045, 267, 789, 2611, 782, 1032, 563, 5445, 666, 581, 1336, 538, 1507, 1166, 4169, 593, 1930, 2666, 543, 2097, 547, 1394, 29288, 585, 1082, 5686, 540, 6177, 23092, 563, 2190, 269, 14205, 20087, 590, 1706, 992, 454, 2252, 596, 1205, 513, 2673, 2614, 1413, 267, 596, 786, 1294, 713, 6960, 838, 5535, 814, 513, 10058, 5835, 15429, 676, 519, 3750, 269, 1358, 723, 2110, 21217, 543, 513, 1792, 21294, 6960, 7801, 563, 763, 9742, 538, 4516, 543, 519, 2475, 1354, 4955, 7992, 547, 8828, 2276, 543, 6792, 269, 1452, 5017, 798, 711, 5781, 3643, 29650, 267, 855, 789, 949, 3643, 707, 13452, 952, 596, 1832, 11453, 25985, 267, 723, 1279, 6371, 267, 543, 2661, 2282, 4610, 563, 5445, 3049, 593, 7786, 543, 20151, 538, 519, 9960, 4005, 543, 5452, 538, 519, 5162, 563, 1839, 269, 9466, 32567, 21582, 12704, 454, 31342, 32567, 21582, 12704, 9038, 616, 3109, 1532, 617, 1221, 543, 6960, 32567, 4563, 18346, 609, 2110, 21217, 543, 5394, 9843, 269, 12339, 2297, 616, 6960, 782, 936, 609, 13581, 1792, 1136, 563, 5445, 616, 1419, 2808, 513, 562, 7572, 766, 607, 789, 6861, 519, 5798, 540, 4130, 5152, 18346, 865, 602, 789, 666, 2482, 741, 5798, 538, 519, 9566, 543, 723, 519, 6177, 6536, 741, 32138, 563, 5445, 9742, 538, 1454, 540, 519, 5087, 543, 7178, 540, 3345, 3013, 1354, 16144, 2417, 5045, 855, 2611, 782, 1032, 538, 519, 8109, 543, 8828, 2829, 543, 7414, 11076, 563, 2918, 269, 1977, 7108, 325, 333, 577, 454, 13563, 7108, 21129, 2583, 616, 2442, 5017, 609, 519, 9038, 6505, 5835, 543, 3109, 7801, 538, 5614, 269, 634, 8951, 616, 811, 20585, 6960, 267, 607, 616, 9038, 538, 5162, 563, 13563, 7108, 21129, 2583, 9742, 538, 2484, 7187, 2829, 543, 4516, 1354, 4955, 7992, 547, 7013, 2829, 269, 1358, 2611, 782, 1032, 538, 519, 1964, 540, 519, 772, 2529, 563, 5445, 666, 581, 1336, 538, 649, 9037, 4610, 543, 936, 326, 3497, 2127, 25061, 585, 30011, 267, 555, 16824, 267, 543, 14531, 2371, 269, 1358, 616, 849, 1455, 538, 1016, 31755, 267, 11614, 267, 543, 1394, 29288, 563, 2414, 4482, 811, 1977, 7108, 21129, 2583, 547, 707, 18147, 267, 2119, 9544, 555, 30178, 543, 5144, 15634, 269, 1358, 786, 3643, 1034, 6177, 29650, 543, 4782, 30011, 6079, 543, 562, 344, 329, 518, 6079, 563, 2767, 269, 14576, 590, 1706, 992, 454, 306, 784, 838, 541, 4900, 616, 711, 607, 7415, 607, 824, 18147, 5017, 267, 855, 891, 15866, 6960, 3613, 516, 8898, 5017, 946, 741, 3592, 3586, 5152, 547, 4482, 29982, 538, 5614, 543, 4832, 563, 5445, 666, 581, 1336, 538, 1930, 267, 21906, 2421, 267, 543, 6632, 2127, 267, 1419, 829, 3481, 593, 513, 1970, 21906, 13465, 269, 1358, 616, 1419, 1336, 693, 18147, 29650, 563, 306, 784, 590, 1706, 4900, 3548, 513, 2647, 3099, 540, 7786, 543, 2371, 267, 1519, 22404, 267, 30746, 267, 4571, 2471, 267, 20151, 267, 543, 3618, 19095, 269, 1358, 786, 849, 3548, 11369, 342, 17742, 267, 30011, 267, 678, 5684, 11241, 267, 3552, 10027, 1845, 267, 3109, 11241, 267, 10568, 267, 543, 7573, 563, 2791, 666, 4482, 811, 5152, 838, 541, 4900, 547, 707, 18147, 29650, 676, 8380, 3109, 3282, 30011, 5452, 267, 29618, 8970, 267, 543, 562, 344, 329, 518, 593, 3760, 29650, 563, 2764, 269, 6519, 6253, 549, 730, 590, 1706, 992, 454, 19669, 6253, 549, 730, 590, 1706, 4900, 723, 513, 10058, 3109, 543, 3043, 4174, 6244, 2212, 267, 6505, 3043, 11563, 267, 543, 5835, 1063, 519, 3750, 543, 3915, 269, 4256, 19758, 616, 6960, 267, 543, 18284, 568, 12457, 563, 5445, 616, 27436, 5017, 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 ]

[ 7742, 280, 17352, 692, 310, 5942, 14871, 692, 1220, 280, 268, 1015, 268, 3066, 476, 4905, 281, 6349, 281, 6349, 692, 2190, 270, 275, 815, 476, 277, 0, 5226, 663, 2456, 543, 2372, 7685, 28982, 267, 1250, 3959, 568, 476, 1556, 267, 280, 1691, 4009, 10264, 269, 1215, 1454, 540, 513, 23505, 568, 713, 286, 476, 18987, 18987, 18987, 7673, 3396, 1109, 476, 18987, 18987, 18987, 18987, 7673, 1109, 8729, 267, 476, 18987, 18987, 18987, 18987, 7673, 3396, 8230, 19743, 8230, 267, 2290, 23505, 568, 476, 6246, 267, 28794, 4009, 3952, 865, 476, 1556, 267, 280, 1691, 4009, 3952, 568, 476, 1109, 1556, 267, 280, 1691, 270, 6246, 267, 28794, 815, 476, 271, 269, 2767, 14143, 269, 1924, 707, 3959, 568, 513, 2370, 811, 982, 513, 10116, 540, 606, 23505, 269, 623, 10154, 3619, 547, 4569, 6239 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 289, 889, 17331, 28471, 323, 6425, 269, 10555, 11401, 269, 2480, 776, 2025, 2021, 269, 5345, 559, 1225, 4513, 269, 1452, 616, 930, 1919, 1869, 2404, 609, 26734, 2221, 267, 855, 713, 8305, 9189, 7153, 7366, 540, 1296, 3516, 269, 16024, 2103, 1631, 3858, 972, 568, 1100, 2963, 602, 1022, 968, 342, 3558, 1381, 892, 2965, 11478, 269, 11048, 267, 538, 519, 31303, 543, 27867, 5553, 606, 6059, 476, 2004, 267, 1822, 1004, 630, 2865, 569, 2021, 264, 941, 2322, 547, 2669, 585, 519, 6760, 540, 31783, 269, 1548, 3366, 1004, 547, 3494, 538, 26734, 286, 1656, 1946, 941, 2021, 811, 4122, 6098, 538, 18338, 8062, 286, 901, 6881, 786, 2232, 891, 2055, 607, 1134, 607, 519, 15265, 12556, 540, 1346, 15034, 540, 31783, 563, 1607, 568, 513, 9365, 6566, 328, 699, 2680, 267, 1100, 14261, 2877, 269, 3220, 269, 12794, 553, 786, 7390, 713, 3381, 6881, 609, 721, 267, 543, 666, 2626, 707, 2055, 11643, 538, 519, 10004, 269, 0, 6826, 2246, 3814, 2021, 540, 4000, 1107, 875, 547, 4266, 873, 888, 3918, 4696, 27749, 4165, 324, 31616, 3332, 3979, 4892, 9250, 741, 3332, 538, 3345, 3013, 1282, 519, 2034, 3368, 540, 519, 476, 1240, 628, 2540, 267, 11836, 519, 2112, 540, 1913, 1063, 4789, 543, 922, 15141, 1190, 10125, 609, 513, 2027, 2631, 540, 5692, 269, 1290, 19397, 9954, 538, 513, 2647, 2039, 540, 8106, 11964, 2073, 5453, 520, 2917, 729, 5462, 547, 1397, 676, 1200, 17117, 540, 1106, 543, 25451, 267, 607, 1134, 607, 676, 1200, 533, 1190, 543, 4121, 5396, 267, 602, 513, 3109, 10564, 729, 607, 5827, 540, 7499, 4082, 607, 513, 3043, 10564, 269, 31888, 593, 15316, 23527, 3177, 513, 3532, 4661, 1996, 519, 5294, 18561, 1543, 542, 602, 519, 5821, 540, 3979, 9082, 547, 2328, 3978, 3332, 729, 6169, 540, 741, 7214, 14413, 638, 9313, 543, 741, 8516, 585, 17760, 29713, 269, 634, 6965, 543, 28005, 976, 540, 519, 21086, 10553, 18347, 30623, 517, 2443, 7790, 589, 3703, 12504, 945, 1185, 4810, 17760, 29713, 538, 519, 17113, 267, 4982, 10730, 814, 1044, 12926, 9833, 267, 2059, 609, 5453, 520, 2917, 267, 607, 519, 13653, 540, 3979, 3332, 538, 2296, 676, 16495, 540, 1010, 2348, 10660, 1229, 519, 10553, 2239, 2073, 513, 20250, 5339, 21981, 1996, 8474, 799, 267, 676, 519, 2038, 476, 866, 628, 2540, 267, 12236, 585, 3979, 1977, 3332, 513, 24567, 3988, 1222, 538, 6628, 607, 1134, 607, 538, 519, 2136, 2276, 269, 10765, 1382, 267, 2705, 267, 814, 6659, 2055, 827, 2436, 4982, 10730, 729, 4535, 606, 16384, 2692, 594, 2692, 538, 4000, 267, 607, 646, 6811, 538, 1010, 26249, 269, 769, 519, 9000, 540, 14046, 13618, 593, 891, 11786, 6927, 267, 634, 21624, 21931, 3788, 513, 11358, 1257, 538, 9446, 532, 4000, 607, 9444, 25432, 1649, 32484, 6862, 15520, 18807, 855, 2864, 607, 513, 2203, 540, 1514, 10103, 1219, 6150, 676, 16402, 12677, 26846, 269, 769, 519, 2038, 476, 866, 628, 2540, 267, 519, 3044, 15515, 31600, 540, 3979, 1977, 3332, 12038, 609, 4463, 2287, 23473, 540, 519, 991, 585, 16543, 547, 2232, 519, 15265, 5609, 540, 8474, 563, 296, 1087, 320, 543, 18039, 3245, 670, 19447, 779, 769, 31261, 9894, 333, 1406, 5620, 1677, 16505, 5455, 1403, 1358, 918, 2908, 1452, 476, 274, 12085, 454, 1607, 1522, 581, 1317, 875, 1352, 5654, 13292, 811, 1018, 3109, 16921, 1265, 10694, 269, 1280, 1383, 1352, 1522, 581, 1932, 2019, 340, 696, 6681, 585, 2199, 16921, 269, 2107, 6148, 1200, 905, 626, 344, 7209, 1522, 2490, 1055, 7489, 16921, 1932, 1454, 269, 4107, 540, 891, 6690, 616, 883, 3109, 16921, 616, 849, 883, 31177, 6953, 641, 2528, 563, 8649, 680, 4328, 3979, 1977, 9739, 998, 2797, 267, 1514, 5126, 267, 9913, 543, 2686, 3377, 269, 2353, 3109, 2729, 17330, 547, 2995, 741, 2984, 563, 763, 1592, 729, 4904, 609, 513, 1297, 540, 16805, 2367, 543, 2021, 945, 4076, 1500, 513, 1665, 593, 519, 5816, 14459, 267, 855, 1310, 519, 1592, 729, 5950, 267, 972, 729, 930, 6161, 602, 649, 1152, 5031, 519, 1482, 1079, 18797, 610, 865, 8188, 1169, 942, 972, 779, 2911, 827, 4563, 21075, 269, 1924, 1934, 779, 513, 26940, 1592, 540, 4563, 2021, 5816, 7970, 596, 991, 547, 1039, 547, 707, 681, 7704, 3049, 5467, 5612, 269, 634, 1592, 568, 5258, 883, 476, 274, 2694, 267, 865, 581, 2386, 547, 2638, 1394, 563, 763, 1641, 2339, 3006, 26136, 883, 519, 13943, 267, 855, 519, 1603, 2760, 7959, 7142, 267, 543, 899, 1022, 6580, 5816, 267, 3006, 519, 8292, 616, 607, 1434, 607, 519, 2022, 269, 700, 1662, 7701, 8361, 540, 590, 16695, 306, 1619, 1107, 1403, 596, 6108, 707, 960, 1554, 3206, 540, 875, 596, 3580, 6368, 9101, 707, 7750, 1834, 585, 1434, 267, 5487, 4537, 7701, 8361, 779, 5816, 568, 513, 1590, 1224, 269, 2701, 779, 513, 3811, 1151, 641, 16867, 584, 945, 8843, 519, 1702, 1352, 779, 29742, 539, 3478, 5796, 689, 1200, 1082, 2228, 26136, 563, 288, 1514, 3060, 5176, 2021, 2178, 945, 2097, 1927, 547, 2709, 1142, 824, 1489, 543, 19015, 269, 14472, 24297, 774, 584, 2006, 540, 8414, 4563, 19716, 1107, 4107, 540, 721, 616, 16111, 5275, 547, 581, 938, 1655, 30441, 267, 543, 713, 2123, 1646, 5816, 1223, 948, 596, 593, 707, 3460, 269, 3117, 626, 1836, 8242, 609, 3532, 18759, 543, 1582, 268, 3530, 3305, 725, 267, 621, 779, 519, 4998, 2228, 10278, 585, 1346, 2395, 950, 519, 22774, 1175, 3884, 1406, 2614, 563, 8702, 547, 12760, 1107, 4168, 6580, 585, 1863, 256, 634, 1152, 11613, 11207, 1863, 4168, 6580, 3028, 602, 3217, 16995, 12632, 543, 1085, 27980, 12517, 1818, 721, 519, 32343, 543, 3143, 269, 2637, 9334, 4168, 2206, 956, 1152, 1107, 1100, 16995, 13875, 689, 721, 267, 28417, 267, 1402, 13522, 610, 8290, 563, 3383, 1577, 803, 2671, 513, 2370, 3787, 827, 519, 3162, 3979, 2367, 269, 5808, 267, 676, 519, 1259, 267, 4043, 547, 581, 7168, 1434, 3168, 2507, 23532, 16844, 25441, 3162, 3979, 2367, 666, 7494, 4268, 4470, 593, 1141, 519, 18560, 596, 616, 6580, 8057, 909, 269, 1403, 596, 1616, 547, 1265, 856, 827, 513, 1808, 2528, 267, 519, 1655, 3364, 547, 798, 568, 547, 1413, 883, 602, 2528, 563, 296, 960, 538, 513, 10034, 1222, 543, 6318, 3214, 689, 519, 10034, 1222, 543, 519, 6497, 1275, 538, 519, 10034, 1222, 568, 1360, 1114, 689, 824, 2694, 540, 15729, 16011, 267, 607, 1134, 607, 824, 10034, 4721, 538, 15729, 16011, 269, 1358, 3362, 10004, 909, 2021, 267, 1376, 7391, 543, 899, 2348, 513, 14902, 269, 9796, 532, 519, 9291, 4107, 3162, 3979, 16921, 4043, 547, 2628, 519, 3915, 585, 513, 4807, 269, 3162, 4000, 568, 513, 3787, 811, 3864, 982, 267, 1134, 267, 3013, 1498, 267, 865, 621, 2731, 5673, 563, 296, 1131, 2161, 596, 1058, 1869, 2709, 547, 2628, 585, 3054, 547, 1294, 875, 519, 18560, 20781, 269, 25441, 1703, 568, 513, 811, 1977, 6580, 2528, 538, 3162, 4000, 982, 538, 2342, 267, 899, 596, 2965, 979, 593, 7389, 609, 1004, 607, 10353, 547, 1175, 13793, 856, 269, 1717, 267, 519, 2489, 2856, 568, 602, 596, 13793, 856, 609, 2576, 269, 1403, 596, 1376, 12008, 1927, 1310, 930, 942, 540, 16304, 856, 1927, 8458, 616, 596, 1831, 12600, 563, 24154, 320, 532, 769, 3162, 4000, 649, 723, 2909, 9820, 269, 12791, 649, 723, 3046, 13069, 1132, 563, 10403, 32310, 568, 3767, 7046, 2336, 2005, 568, 2182, 547, 3494, 602, 1250, 1101, 2462, 1554, 15832, 30150, 5949, 538, 513, 2197, 602, 594, 993, 711, 689, 543, 609, 513, 18560, 945, 568, 711, 4457, 269, 1809, 594, 1589, 621, 1175, 1500, 519, 2898, 3364, 1187, 267, 3579, 543, 12300, 269, 1656, 646, 729, 1318, 269, 4208, 798, 4892, 723, 891, 2462, 2078, 12909, 286, 5565, 1977, 6690, 2911, 827, 741, 2833, 2348, 968, 1492, 2911, 892, 4270, 267, 972, 616, 865, 1082, 2010, 540, 3347, 538, 519, 772, 269, 5637, 1004, 723, 547, 3858, 952, 789, 616, 2907, 538, 610, 1616, 547, 1847, 883, 513, 2078, 267, 799, 11887, 2436, 789, 798, 519, 966, 28233, 3364, 1927, 563, 6524, 649, 979, 1022, 2417, 1577, 803, 2161, 513, 1906, 1919, 269, 3143, 267, 594, 4076, 2760, 18584, 513, 20299, 4618, 812, 269, 1656, 1100, 267, 594, 6557, 711, 1256, 689, 25706, 269, 1924, 1018, 568, 713, 25463, 27365, 8004, 2469, 547, 2995, 596, 827, 6580, 513, 20299, 4618, 563, 3528, 29270, 543, 7234, 891, 1919, 267, 649, 949, 2965, 2253, 547, 2736, 519, 4672, 2560, 602, 594, 993, 2386, 596, 3858, 1419, 6818, 1063, 20338, 543, 3979, 4892, 269, 769, 607, 1454, 607, 1250, 9837, 568, 711, 547, 2489, 1125, 610, 8305, 9189, 267, 594, 993, 1603, 713, 2376, 1759, 593, 1483, 1272, 2833, 543, 2621, 269, 2423, 17067, 713, 1032, 267, 594, 3494, 538, 5130, 267, 513, 7817, 15336, 883, 1250, 5604, 267, 1010, 2012, 808, 291, 594, 993, 2386, 646, 568, 2469, 547, 1224, 713, 2376, 563, 3891, 729, 513, 1101, 942, 7817, 267, 865, 649, 3459, 547, 669, 527, 10004, 607, 594, 5249, 593, 1010, 4574, 269, 7937, 1134, 267, 646, 3081, 3833, 513, 1906, 3979, 2367, 646, 6487, 616, 7189, 2560, 688, 267, 3873, 267, 3873, 269, 12287, 958, 267, 594, 1152, 917, 513, 19625, 540, 6690, 689, 4000, 945, 616, 9310, 547, 3109, 1977, 2367, 269, 1924, 267, 16462, 547, 917, 1018, 1250, 2828, 2219, 267, 594, 11540, 713, 2243, 593, 1250, 9365, 2985, 281, 2290, 540, 1250, 7218, 267, 606, 3979, 1977, 5256, 4280, 803, 606, 4277, 2243, 519, 824, 1554, 281, 594, 786, 17412, 873, 883, 519, 1739, 2798, 281, 589, 7008, 540, 6690, 5433, 602, 519, 3979, 4892, 4043, 547, 1589, 602, 789, 616, 9120, 547, 20338, 267, 6029, 1447, 2463, 585, 873, 982, 519, 24272, 553, 2103, 945, 616, 811, 1930, 547, 1565, 827, 1114, 4529, 563, 8253, 1454, 538, 1455, 27284, 2686, 3604, 4196, 607, 513, 5458, 7941, 1063, 1312, 2516, 282, 789, 798, 711, 2671, 519, 1482, 2418, 585, 519, 1034, 851, 563, 12648, 1520, 2779, 720, 540, 29530, 8890, 6776, 779, 589, 5960, 25441, 16869, 1047, 454, 303, 514, 898, 1306, 513, 3109, 812, 594, 1745, 602, 513, 2603, 540, 2021, 991, 948, 950, 621, 2501, 547, 6580, 3109, 2367, 269, 1809, 1919, 666, 1869, 1205, 16602, 269, 2986, 1576, 267, 6580, 568, 16602, 2614, 607, 621, 568, 267, 855, 950, 596, 1039, 2686, 3604, 267, 14845, 14868, 543, 2462, 582, 787, 267, 10188, 519, 14099, 540, 6580, 3109, 2367, 666, 581, 513, 9553, 7615, 269, 2986, 1576, 267, 972, 568, 1100, 835, 1826, 540, 3109, 812, 563, 1321, 12085, 1411, 10261, 547, 5700, 6969, 25441, 513, 3162, 3979, 21756, 269, 21213, 593, 5147, 476, 1428, 267, 543, 1022, 1106, 540, 4568, 568, 1572, 513, 968, 323, 641, 6100, 1403, 596, 1376, 6580, 513, 3162, 3979, 8004, 267, 596, 3580, 1376, 16116, 909, 593, 1913, 596, 4076, 2760, 4862, 538, 707, 1272, 1354, 269, 634, 2376, 1058, 2864, 581, 13886, 968, 1321, 12085, 1411, 10261, 547, 5700, 6969, 25441, 606, 2279, 27996, 753, 563, 2691, 513, 4807, 31376, 593, 513, 812, 267, 789, 3409, 267, 1010, 24178, 568, 20015, 2213, 543, 646, 2115, 547, 1265, 513, 4807, 945, 666, 2648, 1864, 998, 1010, 22705, 543, 17498, 269, 1809, 3025, 568, 6158, 827, 713, 2078, 689, 519, 5133, 540, 741, 1378, 2833, 269, 594, 1616, 1689, 519, 6643, 543, 2709, 1776, 5133, 607, 513, 6580, 16455, 543, 835, 540, 519, 1283, 2078, 4966, 585, 3318, 4563, 2021, 563, 2690, 1383, 267, 519, 14221, 13613, 2511, 568, 6353, 676, 606, 7920, 5397, 547, 1831, 4448, 547, 707, 7649, 2038, 593, 538, 513, 2078, 269, 5637, 540, 891, 6163, 1711, 22584, 538, 513, 2078, 543, 2014, 1142, 1268, 547, 957, 856, 547, 556, 652, 28344, 3346, 609, 519, 7649, 543, 1205, 741, 2115, 1558, 269, 23821, 710, 543, 670, 11839, 2285, 1896, 1806, 540, 9117, 856, 1519, 912, 16032, 681, 1231, 525, 585, 7849, 3979, 1977, 22458, 454, 27094, 12034, 1100, 2681, 269, 1411, 954, 24055, 6580, 3460, 568, 1175, 4098, 256, 23897, 1343, 540, 3043, 2021, 543, 3109, 2367, 723, 1044, 5870, 593, 713, 3135, 543, 2813, 954, 24055, 15185, 1967, 2984, 540, 741, 1378, 267, 711, 547, 2446, 519, 5215, 540, 3109, 2021, 543, 3043, 2367, 6580, 543, 4466, 2648, 593, 713, 3896, 1932, 269, 17266, 3109, 1004, 5870, 2582, 3043, 1004, 568, 1946, 649, 616, 1934, 563, 8340, 2582, 2367, 543, 2582, 2021, 538, 707, 2199, 1858, 2221, 543, 1376, 6580, 267, 2743 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2811, 513, 19444, 610, 606, 4359, 2875, 267, 713, 2979, 1983, 4199, 814, 596, 4988, 609, 922, 2143, 1900, 8386, 9912, 3435, 267, 7317, 12449, 267, 543, 5363, 1806, 907, 1411, 666, 849, 2322, 4834, 610, 2042, 543, 1205, 2979, 4267, 609, 2143, 3268, 267, 12449, 267, 543, 1806, 267, 1818, 621, 513, 3014, 7302, 9734, 950, 621, 2501, 547, 4466, 27250, 277, 269, 13507, 629, 269, 7831, 855, 711, 2547, 568, 13507, 629, 267, 24903, 835, 540, 519, 1655, 2979, 1151, 951, 856, 972, 269, 13507, 629, 568, 513, 12985, 2599, 602, 2337, 596, 547, 1174, 543, 4194, 1950, 2852, 7400, 2979, 2042, 269, 13507, 629, 814, 5280, 1053, 547, 4194, 936, 476, 272, 5479, 2979, 2042, 609, 2312, 1900, 8386, 9912, 3137, 543, 15997, 780, 763, 18175, 24612, 5616, 9612, 666, 1631, 10994, 811, 1950, 3029, 540, 2979, 899, 11810, 543, 29890, 269, 2353, 596, 723, 547, 798, 568, 1826, 538, 519, 3830, 610, 7533, 883, 519, 1257, 3046, 693, 519, 1283, 610, 1491, 513, 27250, 2420, 269, 476, 279, 7454, 4569, 12226, 15750, 2572, 692, 10267, 1375, 4569, 3752, 591, 269, 476, 279, 269, 4569, 303, 23981, 269, 476, 280, 269, 717, 2246, 327, 4118, 269, 476, 272, 269, 4569, 3118, 269, 4569, 3118, 568, 513, 2979, 4267, 3896, 602, 2488, 1900, 8386, 9912, 3435, 547, 2979, 2042, 267, 4543, 596, 1174, 875, 547, 4194, 1950, 2042, 269, 4569, 3118, 666, 948, 596, 609, 513, 2647, 2039, 540, 2979, 2042, 267, 689, 2596, 7223, 547, 1950, 11810, 780, 2537, 269, 3642, 4569, 9046, 3752, 591, 692, 16987, 1466, 519, 7454, 4569, 3642, 14581, 3752, 591, 269, 3911, 617, 514, 4569, 3642, 14581, 3752, 591, 568, 519, 1034, 4359, 543, 6325, 3070, 585, 782, 707, 2979, 10467, 269, 6787, 596, 2811, 513, 1164, 1153, 610, 2852, 2875, 267, 3911, 617, 514, 3642, 24626, 666, 948, 596, 10994, 1256, 519, 1034, 4101, 2042, 269, 12315, 621, 513, 2119, 2221, 543, 1995, 519, 13418, 543, 6111, 540, 3911, 617, 514, 27250, 8253, 1175, 2979, 2042, 855, 1007, 10311, 786, 849, 948, 3755, 538, 6061, 7294, 6323, 2042, 1985, 547, 9511, 607, 1134, 267, 5616, 6941, 538, 519, 23318, 2022, 269, 634, 1007, 4183, 2882, 519, 27250, 1839, 269, 4569, 14581, 6435, 281, 589, 6651, 547, 519, 7454, 3642, 4569, 3752, 591, 540, 476, 1708, 274, 692, 11328, 5562, 9119, 568, 849, 3015, 693, 1022, 942, 540, 519, 1554, 610, 3781, 269, 1411, 666, 11690, 4834, 538, 950, 16081, 2719, 693, 476, 273, 7537, 610, 2911, 609, 513, 1134, 3491, 13559, 4364, 30292, 693, 28813, 269, 9521, 1268, 3562, 16512, 23468, 2533, 267, 596, 4465, 1405, 991, 547, 7227, 2394, 2834, 1870, 3108, 269, 898, 781, 10375, 543, 2500, 780, 2791, 666, 3274, 1826, 707, 3830, 610, 7533, 883, 519, 9612, 3046, 267, 610, 1491, 513, 4605, 609, 30776, 267, 543, 596, 786, 1294, 513, 1900, 8386, 9912, 7778, 543, 3070, 269, 4746, 267, 596, 666, 1826, 834, 4118, 24626, 257, 547, 27250, 2767, 269, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 476, 275, 266, 692, 4504, 18166, 938, 5499, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 813, 256, 4569, 3642, 4477, 704, 281, 9046, 3752, 591, 3947, 596, 19957, 1569, 547, 2979, 3435, 602, 666, 948, 596, 1174, 1950, 2035, 269, 15439, 1448, 707, 8254, 543, 26882, 513, 8666, 610, 1826, 707, 2979, 6780, 2243, 585, 1900, 8386, 9912, 4267, 267, 713, 813, 568, 519, 3501, 3070, 585, 782, 707, 27250, 2764, 269, 5616, 9612, 1772, 10435, 898, 31418, 1512, 1280, 1411, 1677, 16534, 4569, 267, 3163, 27250, 11386, 814, 5063, 5189, 1713, 10311, 547, 922, 9612, 543, 30776, 2934, 267, 6322, 693, 21528, 6267, 609, 1950, 2042, 538, 13241, 630, 16631, 267, 5303, 267, 7177, 267, 543, 9119, 27250, 3066, 269, 4197, 14069, 543, 4039, 1049, 13096, 629, 1162, 9539, 990, 269, 476, 279, 267, 476, 1708, 274, 692, 13043, 2243, 269, 476, 1691, 1341, 476, 272, 815, 16534, 713, 2241, 2979, 1966, 543, 4283, 519, 1267, 269, 661, 3052, 269, 585, 476, 272, 266, 274, 267, 4283, 476, 275, 269, 4427, 2466, 269, 11261, 281, 8734, 476, 279, 267, 476, 1708, 274, 910, 7926, 3399, 5384, 269, 476, 1321, 281, 876, 10681, 547, 3267, 1411, 3513, 4734, 891, 1357, 21577, 609, 1569, 547, 2866, 13838, 602, 786, 948, 596, 2259, 891, 1983, 543, 1020, 6015, 269, 29140, 476, 272, 910, 667, 5519, 560, 4328, 14069, 780, 1789, 269, 16534, 692, 18204, 1674, 269, 3980, 360, 476, 4905, 1535, 324, 6629, 343, 273, 11459, 269, 7799, 1080, 269, 1535, 20681, 6629, 274, 3916, 1535, 273, 1341, 476, 273, 343, 6567, 476, 274, 343, 273, 6567, 476, 280, 269, 6732, 2979, 24626, 609, 1863, 1900, 676, 1900, 3435, 547, 7223, 267, 11810, 267, 543, 824, 2979, 2042, 269, 5192, 948, 593, 519, 1357, 610, 609, 938, 2979, 813, 269, 0, 258, 476, 27420, 3848, 1299, 9046, 14572, 609, 24908, 10606, 543, 31353, 700, 269, 3503, 519, 8918, 6697, 540, 13718, 27420, 3848, 1299, 9046, 14572, 609, 24908, 10606, 543, 31353, 700, 269, 3503, 519, 8918, 6697, 540, 519, 1739, 8454, 476, 1015, 267, 1822, 476, 1911, 634, 8454, 538, 9046, 476, 272, 616, 782, 1697, 8454, 543, 616, 6697, 547, 17447, 4171, 8870, 851, 568, 2141, 476, 271, 269, 31353, 4171, 538, 773, 3455, 2694, 616, 1875, 320, 3266, 616, 6697, 547, 544, 2213, 2338, 634, 2179, 540, 5378, 4088, 538, 519, 1560, 540, 513, 476, 5611, 11013, 1268, 568, 476, 275, 269, 276, 268, 6550, 269, 2947, 2389, 5460, 338, 2437, 476, 275, 8204, 519, 8870, 851, 543, 568, 519, 634, 8918, 476, 275, 269, 276, 568, 1224, 607, 834, 27917, 543, 476, 275, 27847, 851, 7151, 25166, 1679, 519, 8918, 476, 8064, 269, 4792, 274, 538, 2474, 540, 922, 1747, 2418, 25663, 28513, 7790, 331, 614, 26271, 531, 476, 278, 476, 280, 4475, 267, 476, 8064, 267, 4792, 274, 815, 476, 3583, 266, 280, 266, 1341, 1341, 476, 6200, 9826, 1822, 634, 27847, 851, 540, 519, 1297, 476, 8064, 269, 4792, 274, 568, 7790, 1341, 14009, 540, 891, 1614, 8454, 568, 476, 1911, 271, 269, 1924, 267, 1341, 1547, 18564, 602, 519, 2547, 1455, 4475, 267, 476, 8064, 269, 4792, 274, 666, 581, 2854, 607, 476, 8064, 512, 799, 568, 1224, 607, 834, 8064, 543, 476, 4792, 274, 8536, 2195, 1701, 7335, 543, 5675, 31353, 898, 568, 1271, 547, 917, 875, 547, 2012, 267, 1224, 267, 543, 2328, 17447, 607, 8454, 269, 1280, 1383, 476, 271, 269, 13679, 568, 3957, 607, 834, 821, 4627, 24239, 19317, 8536, 2195, 269, 834, 5415, 3622, 267, 606, 10137, 540, 519, 1747, 1871, 1062, 547, 519, 1318, 540, 519, 8918, 1448, 568, 1336, 538, 519, 1739, 5750, 269, 3220, 322, 7769, 513, 1122, 619, 3367, 607, 543, 257, 610, 834, 4812, 257, 11314, 476, 276, 269, 275, 1548, 3657, 1411, 17214, 540, 476, 25313, 7151, 476, 277, 3519, 3200, 519, 6824, 547, 513, 8918, 17031, 547, 519, 4627, 8811, 338, 1747, 269, 25663, 28513, 476, 278, 4097, 268, 278, 264, 275, 269, 1822, 476, 3374, 476, 1789, 910, 5392, 1677, 476, 278, 268, 271, 269, 6872, 17031, 547, 519, 4627, 2195, 1747, 269, 476, 1015, 269, 3503, 1142, 540, 519, 1739, 8454, 607, 513, 2165, 3215, 8918, 610, 267, 952, 513, 18110, 8918, 269, 17031, 547, 519, 4627, 2195, 1747, 269, 536, 269, 476, 1839, 546, 269, 476, 2190, 476, 2412, 590, 9331, 300, 14473, 281, 8028, 30888, 14510, 476, 276, 269, 275, 1547, 7335, 543, 5675, 31353, 1677, 2012, 513, 8918, 1297, 267, 1224, 519, 9704, 547, 519, 1318, 540, 519, 8918, 1448, 607, 1498, 789, 941, 711, 28263, 676, 513, 8918, 1448, 267, 543, 1287, 8936, 519, 1747, 1871, 540, 922, 1318, 2865, 7857, 269, 2422, 519, 2262, 543, 547, 5094, 519, 8870, 851, 689, 519, 8918, 610, 27847, 851, 269, 1547, 20593, 1154, 513, 27252, 547, 513, 26271, 610, 513, 24908, 7089, 476, 272, 269, 3503, 519, 1875, 14706, 8870, 851, 540, 519, 1297, 543, 6749, 519, 8918, 1448, 269, 476, 273, 269, 3503, 519, 27847, 851, 540, 519, 1297, 607, 519, 19362, 540, 513, 1007, 6824, 267, 4171, 21000, 268, 538, 1807, 568, 5462, 676, 519, 1747, 1871, 540, 519, 1318, 2865, 7857, 269, 476, 274, 269, 21079, 519, 6824, 952, 2556, 24951, 31353, 1325, 793, 519, 8918, 2798, 19794, 543, 5635, 519, 9704, 602, 723, 519, 1482, 1747, 1871, 267, 3001, 689, 2451, 547, 1318, 269, 634, 1101, 1297, 609, 519, 3677, 7857, 538, 519, 1482, 1871, 1747, 568, 519, 3677, 1297, 681, 15929, 513, 27252, 547, 513, 10410, 1881, 9255, 10025, 476, 272, 269, 1403, 519, 9138, 1747, 1871, 568, 476, 1015, 610, 811, 267, 6749, 519, 27847, 851, 543, 5180, 519, 4611, 2898, 1297, 476, 273, 269, 19227, 267, 12398, 519, 7857, 609, 519, 9138, 1747, 1871, 269, 0, 1012, 966, 7627, 1062, 11191, 692, 2690, 519, 3978, 4901, 540, 2597, 344, 6927, 543, 1158, 569, 2152, 269, 3143, 1055, 2389, 8084, 9708, 4847, 780, 9556, 518, 2209, 281, 10897, 5361, 267, 3525, 518, 2209, 4937, 267, 2776, 331, 919, 692, 304, 320, 12935, 454, 763, 27991, 10921, 560, 9697, 26920, 454, 15803, 281, 476, 27420, 280, 454, 16274, 281, 9045, 2904, 476, 6021, 267, 476, 1220, 280, 476, 1556, 281, 4649, 10681, 27635, 692, 2162, 966, 7627, 1062, 11191, 692, 17098, 3025, 2439, 2252, 596, 2461, 899, 803, 267, 1287, 596, 23816, 569, 3314, 519, 6264, 9840, 827, 13359, 1949, 649, 1031, 547, 723, 1934, 267, 543, 519, 2019, 6058, 748, 18913, 5717, 827, 1018, 7907, 616, 1271, 538, 513, 9550, 1505, 543, 875, 547, 5635, 873, 780, 2252, 596, 2965, 616, 803, 267, 1287, 596, 4076, 6170, 1713, 942, 3206, 827, 713, 1641, 936, 519, 2063, 1906, 1296, 267, 543, 1079, 3275, 3516, 596, 4358, 8193, 909, 513, 13359, 11191, 1982, 547, 2196, 5215, 540, 5691, 12836, 538, 1931, 547, 1205, 11050, 2164, 827, 875, 1114, 13359, 1949, 1685, 269, 1656, 2221, 596, 6368, 3893, 621, 4881, 269, 13891, 28289, 543, 3388, 1932, 2439, 3383, 256, 6969, 594, 1205, 1932, 2620, 883, 4881, 13502, 543, 10451, 2164, 267, 13071, 2911, 827, 875, 621, 1568, 267, 1018, 2306, 2631, 267, 543, 875, 594, 666, 2087, 621, 269, 3371, 779, 1018, 519, 3593, 8818, 5654, 899, 912, 8967, 334, 8814, 1384, 763, 2596, 2856, 568, 547, 18082, 513, 1793, 622, 540, 10457, 543, 513, 2551, 540, 17037, 267, 2196, 873, 998, 1142, 13359, 1062, 267, 512, 958, 519, 2164, 267, 543, 10956, 609, 513, 1007, 16801, 540, 17037, 543, 10457, 513, 2898, 19619, 540, 2053, 269, 3973, 17412, 519, 2949, 3466, 780, 763, 5758, 7194, 616, 7168, 3551, 912, 1892, 19105, 10626, 540, 519, 10888, 10457, 585, 1142, 1062, 454, 1892, 19105, 28662, 26845, 540, 1142, 13359, 1062, 630, 773, 269, 5207, 10626, 1851, 10457, 14263, 10626, 540, 16771, 994, 1892, 1215, 1082, 2053, 519, 11134, 609, 5207, 10626, 17993, 896, 1142, 13359, 1062, 692, 763, 9819, 540, 10626, 568, 513, 2370, 3238, 267, 855, 1058, 1118, 2631, 912, 8967, 334, 8814, 912, 10376, 28056, 543, 1142, 11134, 814, 513, 2990, 593, 1142, 540, 562, 968, 1170, 1132, 5608, 543, 1346, 7158, 616, 6537, 689, 513, 3044, 3339, 3892, 269, 3962, 28056, 849, 814, 606, 968, 5814, 766, 892, 610, 2597, 585, 1142, 3390, 267, 10834, 875, 1271, 602, 3390, 568, 547, 873, 267, 6537, 689, 513, 3044, 12825, 3892, 780, 10376, 28056, 21410, 519, 2040, 6361, 1606, 638, 4100, 22051, 3845, 547, 1142, 11134, 267, 607, 521, 815, 3980, 495, 263, 342, 328, 6398, 630, 12858, 910, 524, 328, 4297, 273, 267, 1141, 519, 530, 779, 616, 519, 28056, 779, 12035, 267, 519, 642, 779, 616, 519, 28056, 779, 7158, 267, 543, 519, 524, 779, 616, 519, 11134, 779, 7158, 267, 543, 519, 2040, 568, 3144, 936, 782, 562, 2152, 780, 10190, 972, 616, 1079, 3681, 267, 2824, 762, 676, 519, 968, 25219, 1006, 892, 1402, 1575, 538, 519, 1982, 269, 1403, 968, 22091, 892, 568, 6074, 267, 1287, 519, 9819, 568, 579, 815, 1163, 8987, 338, 1315, 476, 273, 333, 264, 543, 952, 968, 305, 5960, 892, 568, 6074, 267, 1287, 519, 9819, 568, 579, 815, 910, 18414, 263, 338, 1315, 562, 1070, 1141, 538, 1312, 2665, 562, 568, 519, 1297, 540, 2152, 780, 3383, 602, 568, 875, 17037, 5173, 741, 3020, 9237, 10626, 585, 1142, 11134, 267, 543, 1346, 616, 519, 2418, 799, 267, 950, 30714, 936 ]

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

[ 729, 519, 968, 2865, 18660, 1648, 9731, 2108, 11693, 938, 2197, 779, 29667, 344, 540, 5755, 2200, 1547, 1547, 1547, 1496, 933, 1058, 316, 3895, 519, 2922, 267, 3039, 10868, 540, 5755, 543, 1646, 540, 2973, 543, 3608, 5755, 2223, 6004, 9149, 1767, 267, 2687, 547, 5359, 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 ]

[ 25829, 8358, 333, 994, 1038, 952, 589, 5157, 6012, 329, 316, 2652, 645, 912, 2018, 2132, 476, 272, 454, 1038, 8640, 589, 5157, 6012, 329, 316, 2999, 645, 912, 2018, 1970, 815, 4571, 1341, 476, 272, 454, 1038, 3116, 912, 2018, 1164, 815, 4571, 910, 476, 272, 454, 825, 2132, 476, 271, 692, 320, 815, 1496, 454, 476, 1496, 272, 267, 567, 476, 274, 267, 476, 476, 276, 267, 476, 476, 278, 16689, 476, 1496, 1015, 267, 476, 1556, 267, 476, 1626, 267, 476, 736, 16689, 476, 1496, 2537, 267, 476, 1789, 267, 476, 4097, 267, 476, 2004, 2639, 6540, 14142, 30467, 5416, 267, 476, 274, 2020, 19638, 692, 0, 3698, 1193, 1598, 5416, 21726, 17107, 825, 952, 7003, 3287, 264, 2999, 476, 272, 610, 7003, 5416, 264, 2999, 476, 272, 610, 7003, 5416, 264, 2999, 7003, 3287, 2187, 1038, 2132, 910, 272, 692, 825, 544, 815, 7003, 3287, 264, 3097, 825, 562, 815, 7003, 5416, 994, 825, 1775, 815, 476, 271, 454, 825, 795, 815, 1775, 1341, 544, 454, 825, 759, 815, 910, 272, 454, 825, 1247, 476, 795, 10922, 562, 1384, 1038, 737, 815, 1775, 454, 1038, 536, 815, 476, 271, 454, 1038, 1247, 737, 10922, 795, 543, 536, 2999, 544, 543, 630, 320, 25208, 316, 2652, 1535, 314, 321, 316, 2187, 2018, 737, 6834, 476, 272, 454, 2018, 536, 6834, 476, 272, 692, 1038, 1948, 952, 519, 4994, 1031, 585, 8520, 532, 936, 476, 273, 526, 5569, 568, 2362, 982, 7003, 540, 3406, 602, 1797, 519, 454, 1038, 1948, 1247, 8520, 16309, 454, 1038, 952, 536, 13843, 544, 912, 2018, 759, 815, 1775, 454, 2018, 2736, 28329, 1038, 1775, 6834, 476, 272, 454, 1038, 795, 815, 1775, 1341, 544, 692, 825, 2132, 759, 692, 2745, 19304, 1598, 2891, 321, 14824, 321, 27363, 672, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 8193, 281, 30016, 268, 279, 692, 258, 1948, 2999, 340, 285, 300, 22389, 4804, 6997, 2433, 12143, 476, 274, 9572, 340, 11417, 258, 3097, 258, 12361, 18726, 23990, 454, 258, 3097, 258, 8074, 1504, 30363, 676, 590, 7431, 531, 623, 269, 623, 8565, 788, 630, 289, 10204, 14321, 5425, 994, 258, 3097, 258, 2999, 15590, 285, 692, 258, 12361, 6168, 519, 5690, 454, 258, 3097, 258, 5696, 1393, 3196, 3156, 540, 2042, 2154, 513, 2603, 540, 942, 543, 4393, 1379, 547, 1265, 606, 6099, 3070, 269, 634, 4719, 5690, 568, 606, 1935, 799, 16621, 2553, 2999, 321, 285, 16308, 2067, 344, 538, 2470, 9572, 321, 285, 267, 538, 519, 1106, 540, 4720, 563, 258, 3097, 258, 2290, 21767, 538, 513, 4719, 5690, 5161, 540, 519, 1739, 2433, 3097, 258, 476, 272, 269, 9977, 19139, 454, 258, 476, 273, 269, 3955, 5174, 516, 5338, 454, 258, 476, 274, 269, 631, 16615, 454, 258, 476, 275, 269, 18984, 643, 832, 19139, 454, 258, 3097, 258, 6969, 7598, 513, 1966, 585, 713, 5690, 267, 519, 1966, 2999, 321, 285, 928, 2644, 547, 581, 23876, 9572, 321, 20101, 634, 17683, 666, 581, 540, 519, 1739, 3029, 2433, 3097, 258, 476, 272, 269, 23030, 23830, 454, 258, 476, 273, 269, 6715, 518, 23830, 454, 258, 476, 274, 269, 7464, 10025, 23830, 454, 258, 476, 275, 269, 18983, 16615, 23830, 454, 258, 3097, 258, 2999, 1962, 285, 692, 258, 12361, 4790, 571, 6493, 2016, 3097, 258, 3097, 258, 476, 272, 269, 634, 2999, 321, 285, 984, 11187, 1599, 9572, 321, 285, 1031, 568, 1269, 325, 3287, 264, 815, 1535, 317, 274, 1341, 476, 280, 10608, 634, 3804, 568, 547, 2999, 321, 285, 11694, 519, 6662, 8034, 794, 9572, 321, 285, 563, 258, 476, 273, 269, 634, 1871, 540, 9041, 343, 318, 568, 6719, 607, 513, 2999, 321, 285, 259, 277, 259, 7857, 9352, 1297, 9572, 321, 20101, 3097, 258, 476, 274, 269, 23030, 17683, 10325, 454, 258, 476, 275, 269, 12025, 540, 519, 2551, 568, 1269, 1015, 14204, 258, 476, 276, 269, 9977, 5542, 568, 1759, 593, 519, 2999, 321, 285, 305, 537, 30592, 24747, 5542, 21742, 321, 285, 563, 258, 476, 277, 269, 631, 16615, 5506, 1269, 271, 269, 4905, 259, 563, 258, 476, 278, 269, 27834, 5542, 7355, 2433, 29799, 1269, 736, 259, 260, 10782, 2551, 538, 13726, 1440, 902, 609, 1269, 736, 259, 260, 1655, 2551, 689, 519, 2385, 563, 258, 3097, 258, 2999, 1962, 285, 692, 258, 12361, 7383, 532, 2556, 13838, 692, 258, 769, 314, 1626, 28660, 454, 5814, 11885, 607, 5286, 454, 5814, 2979, 454, 5814, 4351, 692, 5814, 21267, 28272, 607, 12301, 454, 5228, 28894, 629, 1104, 678, 322, 13640, 4461, 692, 21683, 13640, 4461, 9131, 29664, 8807, 12127, 1125, 11172, 815, 476, 1428, 267, 476, 1015, 7531, 258, 12361, 14871, 3989, 3252, 692, 258, 769, 314, 1704, 28660, 454, 3698, 535, 3287, 2187, 825, 23288, 825, 634, 6662, 1599, 568, 3989, 865, 602, 621, 666, 581, 1031, 538, 519, 9273, 3238, 538, 519, 13193, 30592, 3097, 825, 8868, 5542, 543, 31848, 5542, 563, 8931, 825, 18452, 2433, 7089, 454, 825, 16849, 2433, 634, 1871, 530, 4135, 519, 6662, 1599, 1775, 4318, 1535, 317, 274, 1341, 476, 280, 454, 825, 23288, 825, 2132, 4073, 3287, 267, 476, 274, 264, 1341, 476, 280, 7531, 258, 769, 314, 1240, 28660, 454, 3698, 1711, 318, 29261, 9638, 641, 1637, 318, 23917, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 634, 3237, 1781, 4923, 7620, 616, 6383, 14477, 1759, 593, 519, 10148, 1315, 17683, 540, 519, 1966, 22562, 825, 30352, 2433, 2551, 318, 23917, 910, 634, 1297, 540, 3237, 547, 3442, 454, 4449, 3787, 318, 21920, 910, 9046, 1808, 17683, 267, 6411, 607, 17683, 454, 4449, 3097, 825, 16849, 2433, 3787, 18360, 902, 540, 2838, 3259, 543, 2450, 269, 634, 5569, 3898, 585, 9352, 2338, 616, 6569, 607, 1134, 454, 825, 543, 813, 2105, 547, 519, 2451, 609, 476, 271, 781, 267, 519, 1351, 816, 335, 1180, 532, 1592, 540, 2338, 454, 825, 23288, 825, 3193, 20311, 815, 4073, 263, 273, 267, 3787, 318, 21920, 264, 910, 476, 272, 454, 825, 1003, 8217, 815, 1496, 12639, 20179, 27110, 263, 271, 267, 3193, 20311, 264, 585, 9041, 538, 2039, 9638, 641, 1637, 318, 23917, 22708, 8931, 825, 2132, 1496, 8971, 16325, 267, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 264, 585, 1003, 538, 1003, 8217, 6540, 454, 258, 769, 314, 866, 28660, 454, 3698, 1265, 15220, 766, 263, 18499, 2187, 825, 23288, 825, 4855, 338, 519, 17831, 2838, 585, 519, 13193, 30592, 8868, 5542, 22562, 825, 18452, 2433, 3237, 910, 634, 3237, 945, 781, 8458, 991, 547, 581, 7229, 454, 825, 16849, 2433, 5903, 540, 8458, 585, 7222, 3237, 454, 825, 23288, 825, 1003, 8217, 815, 1496, 842, 6357, 267, 476, 273, 264, 585, 536, 538, 3237, 2639, 825, 1592, 23544, 815, 2040, 8443, 325, 3287, 264, 585, 1535, 538, 1003, 8217, 7481, 8931, 825, 2132, 1496, 325, 16325, 264, 1315, 1592, 23544, 585, 1003, 538, 1003, 8217, 6540, 454, 258, 769, 314, 736, 28660, 454, 3698, 2824, 318, 22296, 764, 525, 832, 263, 18499, 267, 2551, 2187, 825, 23288, 825, 19805, 519, 1967, 832, 799, 786, 4412, 690, 622, 547, 519, 1985, 5108, 22562, 825, 18452, 2433, 3237, 910, 634, 3237, 945, 723, 8458, 547, 979, 547, 519, 1985, 5108, 454, 2018, 2551, 910, 3097, 825, 16849, 2433, 634, 1781, 4923, 1453, 547, 979, 547, 519, 1985, 5108, 454, 825, 23288, 825, 5542, 15220, 766, 815, 1265, 15220, 766, 263, 18499, 994, 825, 2132, 1496, 12639, 20179, 26716, 4069, 263, 18499, 267, 533, 815, 5542, 15220, 766, 264, 585, 9041, 538, 2039, 9638, 641, 1637, 264, 6540, 454, 258, 769, 314, 2641, 28660, 454, 3698, 3444, 318, 3691, 539, 263, 8001, 267, 3444, 318, 1478, 25292, 267, 3444, 318, 3691, 539, 318, 3333, 28984, 267, 3787, 6831, 1484, 318, 1478, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 9061, 9960, 9388, 609, 519, 2220, 6260, 540, 4162, 540, 476, 273, 3237, 269, 4706, 519, 1101, 4494, 540, 1184, 1018, 5012, 454, 825, 547, 10451, 1007, 1453, 269, 898, 4523, 693, 519, 26737, 1377, 22562, 825, 18452, 2433, 2385, 910, 634, 6090, 602, 616, 2469, 998, 3444, 9960, 454, 2018, 3444, 318, 1478, 25292, 910, 2052, 581, 834, 684, 6134, 257, 610, 834, 338, 17532, 15304, 4840, 13376, 769, 834, 338, 17532, 15304, 2580, 513, 4994, 568, 5697, 543, 782, 519, 6090, 547, 519, 1318, 540, 1312, 3237, 454, 13376, 954, 577, 6548, 454, 13376, 769, 834, 684, 6134, 2580, 782, 11353, 723, 606, 6697, 4960, 540, 1373, 2220, 11474, 454, 2018, 695, 28984, 910, 1403, 6936, 267, 519, 2385, 568, 695, 4428, 1194, 1354, 3444, 318, 3691, 5338, 454, 2018, 3787, 6831, 1484, 318, 1478, 910, 13242, 950, 3444, 318, 1478, 25292, 568, 834, 684, 6134, 2580, 1754, 985, 519, 4960, 513, 3787, 786, 1205, 22121, 454, 2018, 3787, 318, 21920, 910, 634, 3259, 540, 519, 6090, 454, 27030, 825, 16849, 2433, 5753, 538, 799, 3444, 9960, 568, 2347, 269, 4256, 2450, 568, 519, 1482, 2450, 607, 602, 540, 519, 3237, 454, 825, 23288, 825, 15652, 15481, 815, 7003, 263, 8001, 264, 12262, 476, 273, 22562, 825, 952, 3444, 318, 3691, 539, 318, 3333, 28984, 912, 1038, 5286, 20179, 11075, 28984, 263, 8001, 994, 8931, 825, 1126, 27133, 318, 272, 267, 1126, 27133, 318, 273, 815, 2385, 11468, 4820, 819, 15481, 3910, 1453, 314, 4820, 819, 15481, 281, 2639, 8931, 825, 952, 3444, 318, 1478, 25292, 2652, 834, 684, 6134, 257, 1384, 1038, 585, 967, 538, 2039, 263, 4820, 819, 15481, 2187, 2018, 585, 536, 538, 2039, 263, 4226, 318, 21920, 2187, 3546, 28219, 26371, 815, 5286, 20179, 20120, 10797, 3546, 952, 28219, 26371, 2999, 3444, 318, 1478, 15220, 766, 1384, 7386, 3787, 318, 272, 815, 703, 263, 18876, 27133, 318, 272, 314, 785, 3910, 476, 273, 264, 1299, 4073, 263, 273, 267, 536, 994, 7386, 3787, 318, 273, 815, 703, 263, 18876, 27133, 318, 273, 314, 785, 3910, 476, 273, 264, 1299, 4073, 263, 273, 267, 536, 2020, 7386, 952, 3787, 318, 272, 11203, 3787, 318, 273, 912, 13376, 1126, 27133, 318, 272, 314, 785, 316, 815, 3898, 17301, 263, 18876, 27133, 318, 272, 314, 785, 3910, 476, 273, 264, 9745, 4073, 263, 273, 267, 536, 1070, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 994, 13376, 1126, 27133, 318, 273, 314, 785, 316, 815, 3898, 17301, 263, 18876, 27133, 318, 273, 314, 785, 3910, 476, 273, 264, 9745, 4073, 263, 273, 267, 536, 1070, 834, 258, 5400, 321, 20257, 331, 29328, 3488, 271, 321, 262, 1040, 345, 15640, 263, 277, 994, 4449, 8931, 1038, 2132, 5286, 6910, 263, 18876, 27133, 318, 272, 267, 1126, 27133, 318, 273, 994, 8931, 825, 8640, 3444, 318, 1478, 25292, 2652, 834, 338, 17532, 15304, 13426, 13872, 1038, 585, 967, 538, 2039, 263, 4820, 819, 15481, 2567, 8931, 2018, 20105, 16229, 815, 5286, 20179, 27110, 263, 272, 267, 3787, 318, 21920, 910, 476, 273, 994, 27030, 2018, 678, 15220, 843, 318, 272, 815, 1126, 27133, 318, 272, 314, 785, 6012, 16435, 823, 16229, 281, 2639, 2018, 678, 15220, 843, 318, 273, 815, 1126, 27133, 318, 273, 314, 785, 6012, 16435, 823, 16229, 281, 2639, 27030, 2018, 1126, 27133, 318, 272, 314, 785, 316, 815, 1126, 27133, 318, 272, 314, 785, 6012, 281, 16435, 823, 16229, 316, 1341, 678, 15220, 843, 318, 273, 454, 2018, 1126, 27133, 318, 273, 314, 785, 316, 815, 1126, 27133, 318, 273, 314, 785, 6012, 281, 16435, 823, 16229, 316, 1341, 678, 15220, 843, 318, 272, 454, 27030, 1038, 2132, 5286, 6910, 263, 18876, 27133, 318, 272, 267, 1126, 27133, 318, 273, 9239, 258, 769, 314, 2420, 28660, 454, 3698, 15817, 263, 18244, 267, 15817, 25292, 267, 3787, 8548, 16615, 267, 3787, 318, 21920, 2187, 825, 23288, 825, 631, 16615, 4523, 693, 519, 29294, 1377, 267, 543, 621, 4523, 20244, 538, 519, 1453, 267, 543, 3085, 1405, 2154, 513, 3097, 825, 6292, 269, 3097, 8931, 825, 18452, 2433, 1453, 910, 634, 6090, 602, 786, 10929, 15817, 454, 2018, 15817, 25292, 910, 634, 1505, 538, 799, 15817, 1131, 4755, 269, 898, 666, 581, 834, 2675, 534, 22433, 257, 610, 834, 12690, 4840, 7386, 769, 834, 2675, 534, 22433, 2580, 1142, 3787, 814, 547, 4960, 547, 1205, 23564, 454, 7386, 769, 834, 12690, 2580, 513, 4351, 3787, 568, 1781, 4923, 547, 1205, 2220, 11474, 454, 2018, 3787, 8548, 16615, 910, 634, 10171, 513, 3787, 1131, 20049, 267, 543, 568, 2556 ]

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

[ 2789, 2872, 17758, 563, 288, 23232, 19784, 945, 814, 5249, 538, 3162, 4000, 543, 4516, 267, 1352, 1631, 7125, 4516, 1753, 269, 2701, 29084, 538, 519, 7414, 19566, 267, 12270, 942, 1063, 15117, 593, 26551, 6816, 267, 519, 20744, 18992, 540, 1733, 626, 2401, 267, 543, 513, 15309, 545, 12647, 728, 19970, 538, 519, 2961, 756, 5622, 269, 1879, 1352, 779, 711, 1603, 610, 29681, 909, 13602, 267, 596, 3580, 1265, 1200, 593, 519, 12647, 267, 538, 519, 5836, 267, 610, 593, 519, 18162, 609, 1200, 2915, 1141, 1352, 13290, 1765, 12584, 15471, 2685, 23121, 2057, 12217, 563, 11328, 1613, 676, 9995, 571, 14208, 1478, 454, 304, 269, 8080, 267, 22784, 628, 269, 5556, 17894, 593, 519, 5305, 540, 634, 21111, 779, 10555, 267, 1776, 10875, 476, 276, 3613, 541, 1650, 1759, 593, 513, 3020, 6760, 269, 13185, 547, 721, 827, 713, 1433, 543, 875, 621, 3357, 827, 2443, 1018, 20109, 543, 6273, 596, 827, 713, 1808, 6760, 547, 512, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 23515, 16337, 1315, 12292, 1315, 918, 836, 16619, 657, 1315, 918, 30865, 5622, 32445, 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, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 4241, 10167, 1063, 3504, 6138, 267, 4481, 588, 334, 6291, 267, 543, 519, 3140, 2259, 540, 14139, 5641, 7806, 328, 538, 5939, 1781, 15077, 1282, 519, 11193, 1974, 269, 2311, 1101, 16145, 267, 891, 1079, 5396, 949, 3100, 20775, 282, 2705, 267, 2390, 6251, 6514, 267, 649, 666, 2697, 3838, 4798, 971, 607, 1582, 20820, 267, 16495, 267, 543, 13919, 602, 1921, 588, 334, 6291, 547, 519, 2686, 8456, 2509, 5641, 1674, 269, 1284, 786, 2263, 875, 588, 334, 6291, 6766, 6848, 8155, 3823, 4008, 267, 14920, 267, 543, 1379, 6384, 1369, 3909, 5238, 269, 3958, 267, 649, 786, 1865, 4207, 9840, 4478, 6915, 996, 923, 267, 552, 1872, 523, 923, 267, 543, 1560, 14842, 998, 519, 7828, 540, 588, 334, 6291, 781, 10752, 780, 2414, 2253, 267, 1577, 721, 3715, 513, 5618, 7650, 540, 588, 334, 6291, 269, 901, 18774, 523, 2065, 10952, 1153, 7153, 1472, 519, 3791, 2540, 7460, 543, 15091, 5837, 1915, 267, 6418, 4222, 267, 543, 2123, 7881, 269, 634, 2185, 29039, 21644, 540, 7326, 267, 10100, 267, 5126, 267, 543, 2191, 766, 941, 3844, 28975, 540, 588, 334, 6291, 269, 4706, 9439, 5156, 602, 3020, 8788, 2482, 538, 14237, 835, 781, 2702, 547, 22036, 23434, 1247, 4509, 22471, 1006, 543, 4708, 540, 2247, 269, 6206, 5515, 2404, 609, 588, 334, 6291, 1331, 7354, 29132, 267, 9210, 1112, 28127, 267, 543, 29849, 589, 675, 2993, 639, 780, 3086, 267, 1577, 721, 2490, 938, 3007, 547, 519, 3140, 2796, 4843, 538, 519, 6679, 1349, 1107, 12077, 267, 519, 946, 540, 5641, 7806, 328, 538, 3864, 13039, 2429, 519, 3735, 10120, 543, 2038, 2413, 5712, 269, 1306, 4330, 267, 1762, 8695, 941, 4907, 1227, 12012, 547, 8190, 741, 1164, 13047, 9832, 267, 7551, 7175, 873, 547, 4196, 607, 521, 641, 3757, 657, 538, 3235, 27036, 20292, 669, 7394, 679, 5145, 956, 269, 2755, 930, 8044, 602, 713, 2259, 8507, 689, 6071, 7499, 13283, 267, 1866, 25077, 602, 811, 1202, 573, 1190, 18144, 20690, 2740, 922, 9860, 269, 13018, 267, 13915, 2303, 602, 519, 5783, 23699, 7925, 2043, 676, 8903, 873, 547, 10929, 26464, 15629, 12381, 585, 7574, 2744, 780, 20751, 713, 2113, 24586, 267, 649, 1265, 11495, 19320, 1063, 588, 334, 6291, 781, 8561, 593, 1582, 16162, 23002, 543, 6830, 3363, 543, 519, 818, 706, 748, 2866, 1036, 6036, 17298, 676, 5641, 7806, 328, 269, 5637, 2671, 606, 5817, 2463, 585, 11826, 2168, 543, 2790, 14555, 267, 23344, 4294, 8335, 538, 1142, 2013, 269, 1717, 267, 6466, 588, 334, 6291, 970, 565, 1194, 17319, 10841, 2045, 1143, 607, 513, 1797, 540, 8236, 5289, 2208, 267, 519, 5641, 337, 6737, 1062, 1071, 518, 1027, 31464, 5171, 883, 26446, 547, 12362, 5773, 1996, 741, 786, 780, 1607, 12651, 2629, 2055, 7282, 8116, 267, 9844, 267, 543, 13190, 1765, 1170, 1132, 602, 2611, 4143, 2221, 269, 1280, 3236, 267, 2015, 4207, 9840, 4478, 19574, 2924, 543, 1569, 547, 9449, 3797, 610, 4008, 21533, 6391, 269, 11534, 7859, 1419, 13712, 4145, 827, 5483, 9844, 543, 1761, 5626, 29854, 267, 5373, 16198, 547, 519, 7142, 5641, 1674, 540, 1762, 8695, 538, 5553, 2250, 269, 17957, 267, 28288, 8044, 602, 1367, 5191, 1058, 7173, 841, 3177, 782, 6105, 3238, 723, 6603, 15657, 543, 4865, 2407, 3375, 6194, 4390, 780, 5194, 1448, 540, 19427, 6013, 538, 588, 334, 6291, 781, 14223, 585, 1226, 534, 14383, 8015, 14488, 269, 1879, 5185, 609, 1272, 781, 17149, 2591, 267, 588, 334, 923, 9738, 513, 1033, 3737, 5133, 267, 32222, 547, 13151, 3518, 547, 3929, 24187, 269, 6684, 267, 1082, 5641, 7806, 328, 17947, 741, 2189, 6381, 267, 10489, 2056, 3355, 7092, 547, 1831, 26060, 12372, 9976, 2066, 2342, 269, 6736, 1373, 26723, 2350, 1242, 1813, 547, 741, 15116, 4567, 267, 789, 7152, 7415, 6043, 543, 13916, 267, 3976, 12013, 4328, 588, 18757, 3741, 780, 11101, 267, 588, 334, 6291, 781, 1445, 593, 5683, 2932, 12969, 338, 609, 6626, 5717, 22317, 547, 4984, 543, 1379, 3889, 269, 1635, 31328, 519, 2688, 540, 1210, 5641, 7806, 328, 267, 1705, 519, 7826, 5783, 27481, 922, 7029, 547, 5837, 8699, 286, 2107, 1705, 621, 3079, 20729, 4295, 2418, 676, 7873, 11238, 1875, 4621, 839, 783, 15629, 12879, 286, 6270, 21140, 16079, 5571, 27900, 5473, 12250, 12477, 543, 11413, 780, 1103, 3932, 267, 4352, 9583, 19635, 3584, 267, 588, 334, 6291, 543, 519, 1686, 540, 5641, 7806, 328, 7866, 10578, 4296, 17709, 540, 2417, 7634, 269, 3414, 3695, 891, 3095, 1137, 267, 649, 16436, 2565, 8086, 593, 15851, 2152, 899, 1863, 786, 267, 16177, 267, 543, 1514, 5539, 269, 11086, 267, 2502, 609, 3140, 30675, 2636, 721, 547, 15052, 938, 8223, 540, 4207, 32252, 14613, 543, 11942, 1134, 25454, 5380, 16135, 538, 1312, 7811, 1702, 543, 4052, 1995, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 700, 625, 1656, 12096, 9313, 2986, 454, 763, 15610, 2826, 534, 3821, 454, 1692, 5295, 995, 1656, 1744, 600, 6804, 1849, 518, 673, 17086, 10011, 3603, 454, 288, 25587, 4518, 2986, 13129, 454, 288, 1906, 1296, 3516, 594, 1185, 8317, 547, 3277, 538, 835, 540, 1250, 2835, 547, 519, 5256, 521, 641, 3757, 328, 540, 519, 13099, 531, 32724, 693, 7507, 269, 1452, 5641, 3603, 9038, 267, 16770, 4573, 23624, 267, 607, 1169, 17308, 543, 1169, 7969, 6785, 267, 585, 521, 641, 3757, 328, 538, 519, 1781, 597, 540, 519, 590, 25434, 30989, 267, 941, 519, 31768, 540, 7507, 950, 621, 2919, 513, 1804, 4110, 540, 25949, 855, 513, 18205, 29317, 547, 519, 1977, 543, 3703, 23597, 945, 3459, 547, 12446, 827, 519, 1647, 540, 519, 2063, 2540, 269, 2290, 540, 519, 642, 1182, 799, 519, 1975, 8643, 1841, 1185, 4547, 547, 7977, 538, 519, 476, 1626, 628, 2540, 2059, 609, 519, 645, 3073, 807, 1920, 543, 519, 5053, 4936, 2506, 30752, 729, 519, 535, 1023, 564, 1729, 22256, 269, 1703, 941, 5159, 945, 1223, 2206, 535, 1023, 564, 1729, 609, 11984, 267, 855, 607, 519, 22968, 6591, 538, 8560, 538, 7977, 519, 2259, 3459, 540, 900, 553, 1529, 908, 8695, 609, 1434, 9739, 543, 20808, 873, 607, 5256, 521, 641, 3757, 328, 610, 267, 607, 519, 32228, 2103, 267, 609, 741, 8912, 3668, 540, 4168, 1427, 545, 775, 827, 3023, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 11682, 6579, 5308, 8008, 14176, 1315, 3778, 1299, 24028, 903, 1315, 9147, 1299, 18190, 1315, 853, 334, 6291, 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, 7170, 281, 1215, 547, 5269, 513, 2290, 6261, 534, 11204, 26560, 590, 19281, 18706, 518, 1961, 692, 3721, 476, 272, 281, 20283, 2659, 23123, 454, 8624, 937, 782, 519, 2556, 5820, 585, 519, 2836, 4777, 632, 2717, 5979, 22101, 518, 1961, 269, 1411, 786, 991, 1384, 265, 476, 275, 5642, 2987, 267, 2960, 6823, 9269, 25427, 338, 454, 265, 476, 272, 1804, 5835, 22323, 267, 546, 5367, 454, 265, 476, 274, 804, 7174, 13342, 267, 1295, 1027, 454, 265, 476, 273, 17436, 267, 22019, 539, 543, 22872, 454, 265, 476, 273, 13767, 2044, 26106, 802, 267, 22872, 454, 265, 476, 272, 795, 531, 1901, 25123, 14723, 267, 6079, 539, 543, 546, 5367, 630, 28436, 994, 265, 476, 272, 666, 630, 1691, 269, 276, 12063, 264, 3595, 268, 549, 16556, 546, 5367, 14274, 454, 265, 476, 277, 11680, 1970, 1606, 18754, 9269, 26185, 454, 265, 476, 272, 23188, 12015, 7626, 1146, 334, 454, 265, 476, 272, 23188, 2666, 524, 6058, 454, 265, 17865, 543, 28448, 2666, 3109, 14723, 267, 547, 6492, 454, 265, 476, 272, 7484, 13792, 8970, 737, 1716, 1564, 454, 265, 476, 272, 18654, 267, 5104, 5367, 454, 265, 476, 26528, 7484, 22872, 4195, 524, 559, 656, 549, 454, 265, 8838, 1308, 547, 25940, 281, 12475, 8759, 17446, 610, 13365, 267, 30000, 25636, 267, 27054, 4765, 10381, 267, 11877, 8645, 267, 543, 18654, 12311, 2471, 692, 3721, 476, 273, 281, 2776, 17742, 744, 1597, 543, 16259, 7754, 454, 7093, 17742, 707, 14089, 547, 476, 23841, 13790, 630, 5002, 9180, 1040, 9255, 519, 9269, 25427, 338, 538, 513, 2582, 4494, 538, 513, 1804, 14089, 1606, 12522, 1236, 32576, 610, 10656, 14089, 269, 1403, 2877, 267, 4894, 519, 4430, 3170, 689, 519, 9269, 2960, 780, 3721, 476, 274, 281, 590, 792, 26560, 774, 662, 338, 454, 28959, 519, 1236, 32576, 936, 5420, 3002, 2394, 3905, 269, 13648, 519, 9269, 25427, 338, 267, 2960, 2427, 1524, 267, 1510, 3001, 873, 585, 5111, 476, 279, 3764, 610, 2394, 519, 2960, 7140, 11344, 6960, 543, 5743, 6853, 269, 4469, 760, 519, 9269, 4773, 1210, 10209, 338, 543, 3434, 585, 1776, 476, 276, 3764, 593, 519, 824, 2427, 269, 18734, 519, 694, 1563, 9269, 547, 513, 6676, 780, 3721, 476, 275, 281, 13648, 589, 668, 18267, 543, 29641, 454, 1103, 519, 1482, 1236, 32576, 1031, 585, 5986, 519, 9269, 267, 1094, 583, 2946, 519, 546, 5367, 19637, 538, 519, 6967, 9269, 3170, 936, 5420, 3002, 585, 1472, 476, 275, 3764, 610, 2394, 21352, 539, 269, 5410, 519, 1295, 1027, 13342, 267, 22872, 17436, 267, 13767, 2044, 267, 543, 795, 531, 1901, 25123, 14723, 630, 604, 1210, 1070, 28817, 12212, 585, 476, 275, 811, 3764, 780, 3721, 476, 276, 281, 28799, 23123, 543, 3244, 1067, 454, 11754, 519, 27574, 3595, 268, 549, 16556, 546, 5367, 14274, 267, 9269, 26185, 267, 12015, 7626, 1146, 334, 267, 2666, 524, 6058, 267, 6070, 267, 543, 28448, 2666, 3109, 14723, 883, 519, 1236, 32576, 269, 853, 597, 1134, 543, 3142, 519, 7848, 547, 513, 31652, 269, 4495, 31652, 532, 267, 2132, 519, 694, 1563, 9269, 25427, 338, 1394, 883, 519, 1236, 32576, 267, 4180, 789, 2611, 24760, 538, 519, 5277, 269, 14190, 519, 17339, 547, 9900, 31652, 20114, 585, 476, 736, 3764, 780, 3721, 476, 277, 281, 5685, 880, 609, 12397, 543, 700, 830, 4236, 823, 454, 1805, 597, 538, 519, 13792, 8970, 737, 1716, 1564, 543, 1577, 519, 22101, 518, 1961, 3136, 31652, 532, 585, 606, 3606, 476, 276, 3764, 269, 17179, 519, 1236, 32576, 689, 519, 3002, 543, 25837, 519, 10433, 540, 835, 18654, 936, 519, 3003, 8670, 269, 14109, 30257, 609, 22872, 4195, 524, 559, 656, 549, 269, 570, 4292, 543, 4188, 4005, 532, 952 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1265, 519, 1198, 540, 13215, 540, 713, 2631, 540, 11733, 267, 543, 2638, 2436, 519, 1053, 685, 2168, 2298, 1185, 4957, 269, 634, 1808, 1449, 1543, 2882, 1053, 685, 4743, 540, 1560, 1689, 267, 5026, 1983, 267, 4890, 2168, 2175, 267, 2436, 519, 2875, 568, 2178, 610, 711, 267, 3092, 269, 634, 1292, 1267, 540, 713, 18102, 5619, 568, 519, 9547, 540, 2852, 1053, 547, 741, 2168, 2175, 269, 3973, 267, 513, 7544, 5152, 729, 5697, 607, 519, 1034, 1271, 2575, 1031, 538, 519, 6514, 269, 634, 3803, 6268, 729, 1500, 676, 6378, 16488, 593, 1079, 2516, 540, 1053, 476, 4586, 274, 269, 3194, 11778, 454, 274, 269, 272, 269, 634, 6356, 540, 26094, 540, 8447, 10866, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 21008, 2581, 540, 8447, 10866, 1063, 6513, 6828, 543, 21885, 6828, 454, 3849, 641, 5406, 540, 7305, 476, 273, 267, 621, 1223, 581, 1336, 602, 972, 729, 1100, 1713, 3017, 538, 2168, 2298, 543, 2702, 1063, 519, 1852, 1895, 543, 519, 8097, 1895, 1354, 519, 4603, 267, 799, 10416, 1558, 519, 4170, 540, 519, 4603, 269, 2991, 513, 19496, 540, 2866, 267, 519, 2168, 2298, 540, 1079, 5049, 4824, 3648, 267, 855, 9236, 519, 1079, 2516, 621, 1223, 581, 1336, 602, 519, 8097, 1895, 630, 27026, 589, 264, 1185, 811, 6654, 2168, 6454, 269, 769, 519, 2168, 2866, 971, 607, 476, 8517, 4881, 267, 1279, 7914, 543, 1694, 5346, 267, 621, 1223, 581, 1336, 602, 519, 2168, 2298, 540, 519, 8097, 1895, 1185, 1044, 3648, 4824, 267, 865, 649, 1223, 10416, 9959, 602, 538, 1899, 7544, 2810, 519, 1543, 540, 2168, 2298, 2866, 1223, 3648, 2087, 519, 2168, 2298, 540, 1053, 267, 865, 621, 814, 513, 2318, 1198, 476, 4586, 274, 269, 273, 269, 634, 6356, 540, 26094, 540, 8535, 17402, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 21809, 6750, 11778, 540, 5403, 268, 16987, 2939, 7726, 32666, 538, 6513, 6828, 543, 21885, 6828, 454, 3383, 519, 2164, 540, 519, 5619, 538, 7305, 476, 274, 1397, 602, 621, 1223, 581, 1336, 602, 1082, 2852, 1053, 15861, 602, 2575, 1223, 3927, 2087, 741, 1983, 538, 2259, 540, 1899, 7544, 269, 634, 6212, 941, 519, 991, 585, 11733, 2866, 543, 519, 6454, 540, 519, 2773, 540, 1899, 7544, 676, 1620, 540, 2575, 269, 898, 729, 6654, 602, 519, 8097, 1895, 729, 811, 11215, 267, 1247, 519, 1852, 1895, 729, 1447, 11215, 269, 2991, 519, 4603, 267, 519, 1899, 7544, 1449, 593, 2852, 1053, 4797, 269, 634, 2164, 540, 519, 1644, 4255, 4951, 602, 519, 8097, 1895, 547, 799, 2575, 1702, 729, 6045, 1223, 723, 513, 4514, 1620, 540, 2575, 543, 513, 1732, 2631, 540, 11733, 269, 769, 1840, 267, 519, 8097, 1895, 849, 1185, 8273, 22192, 3196, 543, 8082, 267, 543, 1434, 12716, 4743, 269, 769, 3932, 267, 519, 6454, 540, 2575, 7924, 568, 540, 1390, 4644, 585, 2852, 1053, 547, 4487, 519, 1983, 540, 1899, 7544, 563, 8368, 476, 273, 269, 15448, 540, 2168, 8516, 4994, 540, 4775, 2852, 1053, 1354, 543, 1310, 519, 4603, 563, 8368, 476, 274, 269, 27148, 593, 2575, 7071, 2702, 543, 11733, 2866, 540, 2852, 1053, 563, 274, 269, 274, 269, 634, 6356, 540, 26094, 540, 16723, 10866, 593, 5441, 4841, 685, 29923, 540, 10341, 540, 7412, 19933, 454, 4263, 1459, 267, 519, 2790, 1072, 540, 2852, 1053, 814, 1044, 6976, 3007, 676, 519, 2486, 269, 1677, 513, 1390, 6708, 267, 2790, 1072, 2047, 5540, 519, 2635, 2208, 540, 2852, 1053, 269, 769, 519, 3942, 540, 2852, 1053, 267, 14038, 1689, 883, 4079, 269, 674, 5217, 1082, 5626, 2242, 267, 972, 616, 1390, 5837, 2042, 538, 1582, 268, 17595, 1670, 16369, 543, 1852, 3361, 676, 3668, 540, 1995, 269, 4475, 267, 789, 3668, 16369, 2702, 950, 6849, 2804, 543, 3929, 12503, 267, 3056, 547, 3978, 5626, 1764, 269, 4475, 267, 621, 568, 2653, 547, 723, 1360, 7920, 5626, 32475, 269, 1635, 9236, 519, 1449, 2164, 1354, 543, 1310, 519, 4098, 540, 519, 4603, 1063, 519, 1852, 1895, 543, 519, 8097, 1895, 267, 621, 1223, 581, 1336, 602, 1053, 685, 2168, 1582, 12635, 543, 2168, 16007, 4824, 3648, 476, 1547, 1717, 267, 9236, 519, 2866, 2164, 540, 519, 1852, 1895, 543, 519, 8097, 1895, 267, 621, 1223, 581, 1336, 602, 519, 8097, 1895, 729, 1732, 982, 519, 1852, 1895, 538, 782, 519, 3688, 267, 543, 519, 8097, 1895, 1185, 513, 811, 1713, 6454, 269, 901, 666, 1397, 602, 519, 5626, 2298, 540, 519, 1053, 538, 519, 8097, 1895, 3648, 4824, 563, 7661, 267, 519, 2164, 540, 2852, 1053, 685, 1899, 7544, 1449, 941, 3379, 269, 769, 519, 2164, 267, 621, 1223, 581, 1336, 602, 538, 519, 3688, 540, 2852, 1053, 685, 1899, 7544, 5026, 971, 607, 3350, 15334, 267, 6679, 9781, 543, 2773, 538, 1899, 7544, 519, 5626, 2298, 540, 519, 8097, 1895, 1185, 3648, 4824, 267, 865, 519, 2164, 540, 519, 8097, 1895, 941, 15069, 1732, 982, 1346, 540, 519, 1852, 1895, 269, 4475, 267, 649, 666, 1294, 602, 538, 519, 6268, 540, 1899, 7544, 519, 8097, 1895, 729, 811, 8746, 543, 1185, 8273, 22192, 3196, 269, 769, 4890, 2866, 267, 741, 5322, 1131, 711, 581, 796, 1723, 867, 3990, 1317, 789, 941, 1932, 8401, 269, 769, 519, 1899, 7544, 2773, 540, 519, 8097, 1895, 267, 789, 4951, 1732, 21755, 267, 543, 519, 2773, 729, 811, 31402, 269, 4841, 941, 15069, 17159, 267, 543, 1185, 1732, 12716, 4743, 269, 3414, 891, 6901, 267, 621, 666, 581, 1336, 602, 1434, 5626, 2298, 666, 3927, 948, 1053, 2347, 519, 1899, 7544, 267, 865, 602, 789, 666, 2731, 11753, 1560, 543, 2247, 883, 519, 7544, 5322, 543, 1397, 1732, 2164, 563, 275, 269, 1230, 7501, 543, 32505, 454, 18118, 7544, 568, 5631, 6353, 676, 519, 8560, 540, 3084, 8516, 269, 30793, 2471, 543, 9945, 4163, 856, 5026, 2238, 267, 538, 1931, 547, 11349, 1053, 685, 3102, 5759, 538, 1840, 547, 1702, 540, 2686, 6030, 269, 3245, 519, 5133, 540, 519, 1826, 540, 1560, 20761, 3635, 267, 1899, 7544, 568, 2241, 543, 2653, 547, 1451, 269, 1306, 1279, 607, 596, 1246, 519, 2575, 267, 596, 666, 798, 3635, 269, 5822, 267, 1899, 7544, 814, 1585, 6163, 267, 513, 2603, 540, 9115, 543, 1082, 2609, 540, 3084, 7544, 267, 3976, 8108, 513, 1007, 1106, 540, 1899, 7544, 269, 7412, 7544, 814, 971, 3252, 607, 3450, 267, 1560, 2679, 543, 12257, 538, 29525, 269, 3689, 540, 782, 267, 538, 2474, 540, 3450, 1599, 267, 607, 513, 1007, 1826, 540, 2527, 8516, 2534, 267, 1899, 7544, 666, 581, 8362, 5645, 856, 538, 2852, 5026, 2238, 269, 769, 519, 2635, 2168, 8516, 2238, 267, 621, 4249, 606, 1271, 1909, 538, 5009, 519, 2168, 2069, 3450, 538, 3624, 269, 898, 666, 2087, 519, 1560, 11558, 540, 9439, 543, 3432, 909, 519, 1560, 10009, 269, 769, 1840, 267, 621, 666, 849, 3035, 12257, 538, 29525, 267, 1118, 6267, 4299, 676, 2575, 267, 1118, 9439, 6251, 267, 543, 11349, 1004, 779, 27742, 476, 1547, 4475, 267, 621, 814, 1978, 2318, 4644, 547, 4163, 856, 1899, 7544, 538, 12621, 543, 9945, 563, 1607, 1957, 5258, 2852, 1053, 883, 1079, 2516, 585, 4603, 269, 1635, 11287, 519, 8097, 2164, 267, 621, 666, 581, 1336, 602, 538, 1899, 7544, 3450, 1697, 1899, 7544, 666, 2087, 519, 2168, 2298, 540, 2852, 1053, 269, 22702, 609, 2241, 3635, 2238, 267, 621, 666, 1732, 2087, 519, 2168, 2298, 540, 2852, 1053, 269, 8535, 2259, 666, 1118, 2852, 1053, 1732, 1174, 2575, 267, 865, 602, 789, 666, 9192, 2575, 538, 1899, 7544, 267, 1732, 11753, 2575, 543, 7544, 3268, 267, 543, 1685, 811, 5578, 2685, 538, 519, 2773, 269, 769, 1840, 267, 538, 519, 6024, 11191, 2866, 1053, 685, 5626, 16608, 2702, 547, 519, 6735, 666, 581, 4824, 267, 543, 519, 5626, 2298, 2702, 666, 581, 2417, 4824, 267, 865, 896, 519, 2178, 1582, 21873, 2852, 1053, 666, 723, 8273, 22192, 3196, 538, 519, 1899, 7544, 269, 1677, 2040, 909, 267, 5626, 2298, 267, 2575, 2298, 543, 2168, 1599, 666, 3927, 3895, 2852, 1053, 547, 4487, 519, 1983, 540, 1899, 7544, 269, 1358, 3895, 1142, 824, 267, 865, 789, 1058, 581, 2919, 538, 606, 782, 15778, 1259, 563, 29399, 267, 570, 1421, 2473, 26820, 267, 670, 1421, 27684, 267, 700, 1421, 1696, 620, 269, 630, 1001, 278, 264, 3194, 593, 519, 8177, 540, 7412, 19933, 593, 2657, 543, 8447, 24524, 540, 6348, 6261, 292, 11683, 21058, 5441, 4841, 269, 3026, 6359, 21628, 2233, 268, 775, 543, 5303, 267, 476, 4343, 267, 476, 10482, 268, 11820, 563, 19358, 267, 2473, 269, 630, 1001, 279, 264, 16709, 543, 6657, 540, 8871, 10056, 540, 968, 18118, 19933, 892, 538, 14451, 15642, 1049, 30793, 2471, 6874, 820, 21373, 534, 15379, 5441, 540, 5303, 607, 606, 7151, 269, 7073, 1436, 540, 4065, 267, 476, 276, 267, 476, 31172, 268, 28178, 266, 18458, 563, 18708, 267, 590, 1421, 808, 21628, 267, 962, 1421, 14576, 267, 667, 1421, 1696, 620, 269, 630, 1001, 279, 264, 3194, 593, 968, 28082, 7412, 19933, 6796, 717, 836, 892, 896, 519, 17461, 540, 5441, 4841, 685, 16743, 543, 29661, 1222, 269, 7913, 9442, 2622, 267, 476, 14917, 267, 476, 28434, 269, 0, 2690, 14540, 971, 607, 4813, 539, 1460, 2073, 2029, 538, 519, 4791, 8062, 2872, 568, 11613, 1898, 538, 1931, 547, 3136, 547, 1450, 741, 1870, 547, 1332, 607, 1134, 607, 4180, 4791, 8062, 1472, 519, 1158, 666, 3136, 9108, 543, 8308, 269, 901, 568, 938, 3391, 547, 875, 1271, 2029, 568, 538, 519, 4791, 8062, 2872, 563, 8139, 634, 11957, 2986, 11916, 2558, 10118, 454, 21413, 513, 8969, 835, 540, 519, 1034, 1271, 3344, 540, 713, 2376, 568, 519, 2949, 2956, 540, 4791, 8062, 2933, 269, 9453, 4791, 8062, 2564, 14540, 543, 6608, 1131, 581, 8572, 547, 4693, 10074, 610, 11955, 799, 616, 2629, 543, 1898, 538, 1931, 585, 1004, 547, 7639, 543, 2661, 3476, 563, 5194, 1883, 4128, 1946, 4791, 8062, 616, 865, 1271, 568, 2489, 1382, 269, 1306, 1134, 607, 3246, 12468, 3058, 11955, 543, 5574, 2073, 4791, 8062, 666, 581, 1031, 547, 5531, 2489, 1382, 585, 824, 14540, 971, 607, 6484, 3549, 607, 1134, 607, 14540, 7893, 1114, 2949, 8516, 2157, 540, 1004, 454, 1432, 5303, 1772, 28611, 13242, 10738, 11916, 2558, 10118, 888, 288, 1883, 2243, 799, 568, 1419, 4280, 568, 1018, 2029, 568, 4867, 1373, 1031, 1369, 4791, 8062, 286, 2290, 540, 519, 1034, 1455, 3029, 540, 2029, 602, 568, 1031, 1369, 4791, 8062, 616, 8143, 9196, 12514, 269, 10705, 8143, 9196, 12514, 616, 2877, 538, 1931, 547, 3715, 930, 2158, 2837, 15029, 789, 616, 18460, 4255, 563, 4322, 12514, 666, 1683, 606, 5813, 883, 1018, 338, 9648, 2949, 1369, 1346, 2469, 998, 519, 4791, 8062, 269, 6271, 1259, 1498, 799, 2029, 568, 1373, 1031, 538, 4791, 8062, 568, 5904, 269, 23675, 616, 11613, 4105, 547, 2327, 602, 4791, 8062, 666, 581, 6192, 593, 942, 543, 3077, 607, 1134, 607, 2348, 1239, 29429, 8308, 563, 3080, 540, 519, 1883, 1919, 547, 1832, 538, 2247, 609, 519, 946, 540, 5904, 1369, 519, 4791, 8062, 2872, 568, 602, 621, 568, 1898, 789, 616, 6854, 2228, 269, 9453, 519, 946, 540, 5904, 621, 1131, 581, 5393, 2352, 585, 1346, 4881, 519, 4791, 8062, 547, 1832, 3950, 540, 1239, 607, 1134, 607, 2845, 621, 8308, 269, 1284, 723, 1831, 882, 5050, 593, 513, 1062, 1759, 1472, 4359, 2029, 971, 607, 5904, 543, 621, 568, 1271, 602, 649, 1118, 519, 1034, 856, 540, 713, 2029, 563, 1432, 2052, 2142, 667, 821, 1677, 13724, 5303, 769, 634, 11916, 2558, 10118, 12752, 888, 2467, 568, 513, 2603, 602, 666, 581, 2944, 547, 2087, 2029, 538, 519, 4791, 8062, 2872, 2949, 269, 2290, 540, 519, 2081, 538, 799, 2029, 666, 581, 4824, 1369, 519, 4791, 8062, 2872, 568, 998, 2417, 5092, 676, 1382, 3549, 269, 23560, 3606, 5092, 883, 1949, 585, 4791, 8062, 1797, 602, 789, 616, 2693, 547, 581, 811, 3608, 543, 5488, 2949, 563, 13010, 607, 942, 814, 6410, 593, 2029, 814, 849, 6410, 609, 621, 543, 1004, 723, 1044, 2111, 547, 1569, 5488, 543, 811, 10995, 5904, 799, 723, 8476, 7207, 563, 14454, 547, 9959, 621, 568, 2312, 602, 4791, 8062, 666, 7494, 4324, 1007, 543, 4824, 2029, 269, 898, 568, 1898, 602, 2029, 568, 16111, 11368, 883, 4791, 8062, 538, 1931, 547, 2327, 602, 789, 616, 4977, 543, 6192, 3533, 547, 2417, 2564, 1382, 585, 519, 2104, 543, 2087, 5574, 585, 1272, 17116, 10108, 269, 0, 29866 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 713, 5373, 5850, 267, 649, 786, 1397, 596, 875, 547, 2721, 513, 12113, 337, 926, 1107, 835, 540, 519, 1034, 4190, 543, 1134, 8153, 2706, 322, 1513, 538, 519, 1158, 563, 2171, 2813, 1776, 5373, 3391, 593, 875, 547, 2721, 513, 14361, 563, 763, 2319, 540, 14168, 9526, 532, 691, 2593, 1360, 1419, 14405, 6472, 269, 1284, 723, 2907, 6537, 513, 1286, 267, 513, 15177, 267, 543, 513, 1668, 267, 543, 1631, 649, 786, 1397, 596, 875, 547, 2721, 513, 15191, 563, 1103, 713, 5373, 3391, 649, 786, 1397, 596, 875, 547, 2721, 513, 14247, 788, 563, 1103, 713, 5373, 3391, 649, 786, 1397, 596, 875, 547, 2721, 513, 6928, 563, 2171, 4956, 547, 2628, 513, 2370, 3007, 547, 12400, 609, 513, 2603, 540, 2786, 3515, 543, 5347, 32725, 269, 4475, 267, 649, 2813, 513, 3992, 593, 875, 547, 2721, 513, 1668, 563, 1103, 713, 1360, 2241, 6044, 267, 519, 2319, 540, 14168, 9526, 532, 691, 2593, 786, 1397, 596, 875, 547, 2721, 513, 5721, 3362, 543, 1360, 3533, 563, 2171, 2648, 547, 2721, 9604, 543, 1114, 6472, 269, 1656, 538, 519, 6044, 593, 875, 547, 2721, 513, 7382, 267, 1312, 540, 891, 5373, 3615, 786, 581, 5916, 563, 5649, 619, 540, 14168, 9526, 532, 691, 2593, 1419, 4280, 721, 547, 1397, 875, 547, 2721, 606, 20987, 267, 543, 1934, 568, 713, 1360, 6044, 1354, 596, 563, 1103, 835, 540, 519, 3105, 5528, 267, 519, 14168, 9526, 532, 691, 2593, 2319, 4951, 875, 547, 2721, 513, 5624, 1222, 267, 538, 713, 2147, 6044, 649, 786, 1397, 875, 547, 2721, 513, 15177, 269, 0, 347, 14240, 1475, 10573, 306, 7051, 585, 519, 10495, 540, 15474, 12580, 2008, 18871, 14394, 1475, 10573, 21357, 9732, 24741, 1299, 10076, 2657, 2008, 1432, 1281, 590, 4338, 306, 1611, 888, 306, 7051, 585, 519, 10495, 540, 15474, 12580, 630, 306, 4338, 306, 264, 568, 513, 12773, 4336, 547, 2268, 2318, 2589, 538, 18624, 563, 16085, 677, 1635, 10573, 28082, 640, 1475, 2704, 8224, 1227, 1475, 23742, 614, 676, 10573, 15575, 787, 270, 8802, 542, 10573, 32051, 281, 2008, 1475, 306, 4338, 306, 1475, 21026, 3979, 17318, 6796, 2008, 1475, 306, 4338, 306, 1475, 8245, 680, 1881, 26590, 25665, 24143, 2008, 1475, 306, 4338, 306, 1475, 1805, 4165, 3415, 779, 5398, 3427, 2008, 1475, 306, 4338, 306, 1475, 306, 4338, 13335, 13437, 9208, 2008, 1475, 306, 4338, 306, 1475, 18184, 25575, 821, 5295, 3590, 2008, 21761, 18542, 5999, 630, 11902, 304, 994, 1432, 568, 519, 2407, 1106, 540, 590, 4338, 306, 538, 5369, 12278, 29698, 888, 763, 2407, 1106, 540, 590, 4338, 306, 568, 17361, 585, 519, 10495, 540, 15474, 12580, 0, 383, 500, 951, 7564, 1777, 940, 1285, 715, 7631, 894, 533, 18033, 1621, 1564, 6390, 25605, 454, 2304, 18781, 1739, 519, 2941, 3121, 543, 10503, 519, 1641, 568, 1572, 513, 32252, 894, 18781, 269, 769, 2901, 2013, 519, 32252, 894, 9148, 538, 1198, 19141, 519, 1641, 269, 32040, 1341, 1965, 572, 1341, 2392, 6510, 562, 7631, 894, 269, 9105, 7726, 18542, 476, 273, 3275, 3516, 563, 13202, 476, 2641, 267, 476, 1001, 280, 1733, 558, 538, 513, 20530, 6510, 715, 7631, 894, 269, 14780, 1047, 707, 1688, 952, 596, 917, 875, 547, 946, 7247, 269, 3767, 1832, 621, 6659, 952, 596, 2811, 8746, 596, 666, 2491, 922, 946, 13724, 707, 1893, 6575, 1702, 609, 1863, 2055, 538, 834, 26368, 16046, 13450, 267, 2392, 6510, 21371, 267, 543, 2392, 6510, 17205, 257, 543, 5215, 540, 824, 1893, 22105, 281, 2392, 6510, 562, 7631, 894, 269, 1215, 547, 4487, 32252, 919, 1496, 8882, 4919, 316, 609, 519, 1102, 4919, 267, 519, 1739, 1058, 8774, 930, 1769, 593, 13167, 513, 1434, 2392, 6510, 269, 562, 7631, 894, 910, 1621, 1564, 330, 1606, 26223, 330, 3921, 321, 758, 910, 6478, 27270, 2593, 269, 16046, 8231, 28872, 1042, 6510, 18781, 14672, 7631, 894, 910, 2296, 8307, 8468, 563, 5472, 325, 334, 281, 25197, 894, 2013, 910, 674, 20041, 454, 9217, 31221, 1775, 262, 928, 6390, 12103, 262, 331, 18223, 547, 2392, 6510, 8659, 513, 17122, 20020, 538, 1840, 547, 519, 835, 593, 519, 634, 1641, 538, 519, 8200, 16083, 568, 575, 7564, 3122, 543, 519, 2392, 6510, 568, 1119, 14982, 898, 568, 607, 952, 887, 7717, 568, 538, 519, 562, 7631, 894, 609, 2463, 547, 4378, 267, 1775, 269, 552, 269, 4378, 1281, 5695, 684, 523, 270, 328, 267, 17677, 17683, 540, 22194, 543, 740, 915, 2526, 32252, 919, 281, 589, 1353, 540, 519, 562, 7631, 894, 1700, 10520, 331, 894, 6467, 538, 8210, 5414, 320, 282, 1775, 299, 27222, 345, 331, 6759, 670, 2632, 328, 270, 328, 267, 661, 1206, 328, 7564, 795, 320, 20735, 7159, 320, 563, 293, 329, 7564, 916, 330, 910, 23008, 1057, 343, 454, 2005, 2501, 1310, 513, 16046, 8231, 269, 589, 2392, 6510, 562, 7631, 894, 568, 849, 1572, 513, 2392, 6510, 10902, 1317, 621, 568, 2141, 513, 10902, 563, 303, 328, 12683, 726, 1575, 325, 726, 10967, 2739, 1494, 1761, 2392, 2392, 6510, 269, 14210, 1383, 5220, 948, 707, 1362, 2689, 543, 2697, 513, 4845, 781, 1641, 267, 2962, 8231, 267, 16046, 8231, 267, 2392, 6510, 562, 7631, 894, 267, 543, 2392, 6510, 18781, 269, 642, 4673, 267, 9890, 3331, 359, 30036, 267, 7602, 498, 581, 2443, 1031, 547, 5815, 602, 519, 1641, 4249, 519, 1909, 540, 519, 2392, 6510, 562, 7631, 894, 269, 3040, 642, 4673, 267, 9890, 3331, 359, 30036, 267, 7602, 498, 581, 2443, 1031, 547, 1921, 513, 10902, 547, 606, 18781, 454, 1492, 10902, 16083, 1373, 1031, 538, 713, 4845, 3733, 16455, 14560, 945, 1197, 8464, 519, 1034, 3853, 563, 303, 1042, 6510, 715, 7631, 894, 589, 2392, 6510, 562, 7631, 894, 568, 513, 10902, 602, 2501, 1310, 513, 16046, 8231, 543, 814, 519, 1482, 2495, 610, 1871, 607, 519, 1641, 540, 513, 4845, 269, 2913, 781, 2736, 1346, 2474, 1524, 269, 634, 1641, 540, 513, 589, 2392, 6510, 562, 7631, 894, 568, 849, 1572, 513, 1641, 9148, 610, 513, 2392, 6510, 10902, 269, 634, 2392, 6510, 562, 7631, 894, 3335, 5205, 519, 8231, 547, 581, 563, 303, 1042, 6510, 562, 7631, 894, 910, 1586, 5213, 1405, 2392, 6510, 562, 7631, 2510, 1175, 25657, 1919, 286, 1280, 1383, 281, 834, 288, 4009, 568, 513, 13551, 2437, 543, 834, 288, 13551, 568, 513, 4009, 2437, 616, 1079, 5220, 609, 11207, 1114, 10096, 630, 663, 835, 540, 873, 568, 2141, 3020, 267, 1247, 519, 824, 568, 711, 2141, 3020, 1070, 855, 952, 649, 1521, 1312, 834, 5550, 4120, 257, 543, 834, 338, 13645, 257, 607, 562, 7631, 2510, 267, 1287, 972, 568, 1100, 3017, 1063, 519, 1079, 269, 4635, 519, 562, 7631, 894, 2013, 6920, 602, 519, 15749, 568, 9117, 607, 519, 1641, 540, 513, 2016, 16083, 610, 607, 513, 2392, 6510, 562, 7631, 894, 1739, 513, 16046, 8231, 269, 4427, 11187, 25460, 10494, 7327, 983, 594, 267, 1352, 267, 646, 267, 621, 1773, 7498, 6624, 12261, 1383, 5220, 5627, 834, 335, 1042, 6510, 562, 7631, 894, 257, 1107, 5053, 30165, 8675, 543, 3406, 2599, 585, 5053, 16627, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 834, 763, 15255, 1725, 320, 18437, 1590, 581, 1957, 6253, 514, 2437, 966, 1550, 2798, 856, 269, 476, 1724, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 1280, 519, 1546, 293, 531, 6523, 267, 519, 1818, 540, 18437, 3788, 606, 1148, 563, 275, 269, 275, 269, 275, 32040, 9537, 543, 21261, 12856, 476, 6858, 269, 476, 275, 269, 276, 20113, 269, 476, 10170, 269, 476, 276, 2859, 593, 23527, 543, 21770, 630, 6518, 267, 7429, 538, 2296, 267, 616, 519, 1482, 585, 4865, 633, 543, 562, 7631, 894, 1916, 2252, 596, 10093, 1405, 2938, 4906, 8805, 2676, 301, 7631, 894, 910, 634, 562, 7631, 894, 1106, 540, 513, 2123, 15749, 568, 1031, 950, 513, 15749, 3252, 607, 513, 715, 7631, 894, 25460, 1735, 22553, 589, 2392, 6510, 562, 7631, 894, 568, 513, 454, 14620, 1797, 6497, 1847, 3350, 562, 7631, 894, 21785, 1843, 2049, 6252, 12809, 8834, 2990, 2009, 9551, 525, 2392, 6510, 1459, 1966, 3601, 454, 1103, 1978, 24947, 267, 2022, 333, 558, 1400, 21371, 616, 6251, 547, 2392, 6510, 20530, 545, 919, 799, 3576, 1875, 5991, 7631, 894, 2058, 6203, 538, 10396, 855, 799, 723, 454, 341, 4673, 267, 9890, 1583, 267, 7602, 498, 581, 2443, 1031, 547, 5815, 602, 519, 1641, 4249, 519, 1909, 540, 519, 2392, 6510, 562, 7631, 894, 563, 289, 745, 22894, 812, 535, 18033, 533, 20811, 533, 18033, 1135, 529, 325, 7238, 9071, 23152, 454, 8926, 6108, 14442, 2785, 329, 454, 16808, 1115, 11526, 1782, 523, 575, 1774, 321, 3073, 2816, 321, 454, 23251, 1026, 1903, 693, 476, 3583, 272, 476, 273, 454, 309, 4696, 3331, 353, 305, 11553, 3633, 31082, 2969, 715, 6865, 2562, 288, 2316, 22849, 286, 910, 670, 9331, 3198, 296, 3036, 288, 910, 476, 1708, 272, 454, 8794, 519, 562, 7631, 894, 2013, 6920, 602, 519, 15749, 568, 9117, 607, 519, 1641, 540, 513, 2016, 16083, 610, 607, 513, 2392, 6510, 562, 7631, 894, 1739, 513, 16046, 8231, 269, 4427, 11187, 25460, 10494, 7327, 983, 594, 267, 1352, 267, 646, 267, 621, 1773, 2507, 3509, 12261, 1383, 5220, 5627, 834, 335, 1042, 6510, 562, 7631, 894, 257, 1107, 5053, 30165, 8675, 543, 3406, 2599, 585, 5053, 16627, 269, 3503, 519, 2392, 6510, 562, 7631, 894, 4433, 264, 610, 2392, 6510, 18781, 4433, 264, 538, 519, 1739, 4845, 281, 834, 763, 15255, 1725, 320, 18437, 1590, 581, 1957, 6253, 514, 2437, 966, 1550, 2798, 856, 563, 341, 4673, 281, 5053, 543, 16528, 9612, 11778, 1336, 538, 519, 910, 3955, 6921, 582, 454, 763, 562, 7631, 894, 2013, 568, 519, 2013, 602, 519, 1641, 568, 538, 269, 769, 2296, 519, 1641, 543, 2392, 6510, 562, 7631, 894, 616, 13747, 676, 2262, 1931, 630, 1492, 634, 562, 7631, 894, 2013, 568, 519, 2013, 602, 519, 1641, 568, 538, 269, 769, 2296, 519, 1641, 543, 2392, 6510, 562, 7631, 894, 616, 13747, 676, 2262, 1931, 630, 1492, 589, 2392, 6510, 562, 7631, 894, 568, 513, 10902, 610, 15749, 602, 29349, 513, 16046, 8231, 901, 2985, 814, 811, 1806, 540, 2392, 6510, 562, 7631, 2510, 543, 606, 7317, 3635, 269, 16528, 3096, 519, 562, 7631, 894, 2013, 950, 621, 781, 519, 1843, 540, 519, 8231, 834, 309, 4673, 8487, 2005, 2048, 5591, 835, 30128, 952, 707, 1453, 917, 1018, 513, 2392, 6510, 562, 7631, 894, 568, 4849, 519, 21101, 540, 8239, 960, 9248, 10200, 2048, 3719, 594, 1705, 5469, 835, 4806, 1310, 513, 2370, 811, 10478, 281, 2048, 1492, 20148, 540, 685, 11148, 547, 2049, 538, 2392, 6510, 562, 7631, 2510, 910, 602, 568, 267, 538, 10902, 2453, 1310, 930, 1106, 540, 581, 267, 607, 538, 2048, 2791, 2811, 711, 519, 20148, 540, 803, 9957, 685, 18224, 532, 1283, 476, 279, 3211, 1336, 585, 910, 20530, 6510, 715, 7631, 894, 269, 2368, 540, 519, 3211, 585, 713, 1523, 616, 6034, 3615, 9940, 3615, 2392, 6510, 562, 7631, 2510, 267, 3848, 476, 1724, 1264, 906, 1264, 906, 267, 20530, 6510, 562, 7631, 2510, 267, 20530, 6510, 21371, 960, 267, 17327, 2259, 1210, 21770, 607, 2392, 6510, 562, 7631, 2510, 267, 8745, 4266, 2392, 6510, 21371, 3450, 267, 7388, 618, 1463, 543, 9940, 3615, 1641, 7689, 476, 10755, 20668, 540, 519, 22054, 910, 20530, 6510, 715, 7631, 894, 269, 0, 13553, 776, 1416, 1770, 3251, 454, 7093, 332, 1155, 9002, 616, 1419, 4535, 4617, 267, 17596, 1489, 538, 4543, 741, 6263, 4703, 1020, 7363, 543, 4339, 1055, 4713, 269, 5213, 622, 267, 543, 948, 2327, 513, 20169, 779, 6668, 563, 290, 22664, 5508, 21832, 289, 3036, 301, 11083, 22444, 31631, 14473, 595, 22664, 6167, 3951, 454, 763, 1101, 476, 2764, 2395, 540, 1272, 1107, 519, 30564, 1974, 1107, 568, 519, 1034, 7925, 942, 585, 513, 1126, 779, 6668, 269, 5753, 3068, 519, 5207, 1981, 540, 12955, 538, 741, 1101, 3923, 540, 1272, 693, 606, 3328, 2518, 2557, 540, 476, 1704, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 538, 476, 1001, 280, 563, 303, 8140, 814, 519, 476, 273, 526, 5207, 10867, 9019, 538, 519, 1158, 268, 476, 5655, 7972, 829, 476, 272, 267, 1822, 2661, 24570, 563, 763, 6281, 1416, 1770, 2501, 609, 519, 12588, 547, 1683, 1416, 585, 29507, 4535, 1310, 476, 4097, 4374, 543, 20604, 811, 982, 476 ]

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

[ 4495, 1134, 6404, 267, 13248, 519, 7848, 1394, 883, 519, 1494, 543, 13489, 9900, 547, 9192, 269, 4635, 513, 5892, 5423, 18506, 2528, 5849, 602, 519, 6225, 561, 12519, 3679, 4551, 616, 1459, 543, 4712, 547, 2490, 519, 5144, 883, 18506, 780, 3721, 476, 276, 281, 18734, 519, 631, 4869, 675, 547, 606, 661, 691, 1156, 2264, 8000, 610, 808, 1513, 454, 8794, 513, 17078, 548, 610, 7893, 7484, 267, 5402, 4483, 519, 7848, 883, 10322, 28895, 552, 691, 1156, 2264, 17428, 610, 4837, 30660, 267, 6028, 827, 476, 16006, 10759, 540, 2230, 693, 519, 1283, 269, 15147, 873, 29101, 609, 513, 2973, 12308, 610, 19984, 267, 4180, 972, 568, 2614, 2011, 10009, 585, 1697, 18829, 780, 3721, 476, 277, 281, 12113, 618, 519, 962, 690, 4669, 454, 20278, 519, 4988, 11149, 538, 513, 3636, 1858, 267, 23679, 1063, 476, 6507, 13790, 910, 476, 10436, 13790, 630, 1839, 9180, 910, 476, 1789, 9180, 1070, 971, 607, 513, 5828, 11325, 14089, 609, 513, 12681, 1769, 610, 513, 6169, 532, 4216, 269, 14190, 519, 18506, 547, 7542, 618, 585, 5111, 476, 277, 547, 476, 279, 3108, 269, 4438, 713, 1974, 267, 519, 4551, 786, 8532, 26178, 538, 519, 5144, 543, 3132, 561, 12519, 3679, 267, 4929, 519, 7848, 547, 5394, 523, 543, 1020, 922, 8984, 25188, 6492, 269, 6744, 519, 11007, 1310, 476, 277, 3108, 282, 952, 621, 18387, 1405, 1305, 18481, 267, 1450, 621, 547, 7542, 618, 585, 1776, 5662, 1354, 10992, 1586, 780, 3721, 476, 278, 281, 932, 650, 519, 962, 690, 4669, 454, 5475, 519, 5551, 11098, 543, 25188, 1145, 723, 2919, 267, 12104, 4733, 519, 18506, 585, 1896, 3108, 610, 16074, 1354, 10438, 269, 901, 9023, 25815, 1524, 519, 18829, 1184, 543, 2636, 519, 18506, 547, 6109, 909, 2417, 269, 5901, 538, 2247, 602, 19176, 18506, 11148, 547, 581, 25182, 982, 5259, 18506, 1813, 547, 3604, 538, 2269, 1456, 2409, 780, 7659, 9669, 543, 13832, 1384, 265, 2422, 1164, 7779, 267, 23295, 5214, 267, 5144, 585, 1655, 2164, 563, 265, 11408, 2327, 782, 3937, 543, 27022, 616, 8499, 19345, 543, 24846, 1242, 1354, 4358, 563, 265, 19321, 5812, 5210, 1282, 8022, 543, 18829, 3157, 563, 265, 2142, 3461, 9789, 3476, 519, 18506, 7542, 906, 267, 519, 6793, 922, 8137, 543, 9403, 1831, 563, 265, 16440, 513, 6712, 540, 707, 19471, 18506, 547, 4196, 607, 519, 25690, 2528, 585, 2104, 10627, 2583, 269, 15188, 621, 538, 519, 26806, 585, 1100, 3476, 982, 1079, 4374, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21202, 24158, 540, 18506, 267, 594, 5063, 1185, 519, 12257, 540, 12423, 19176, 18506, 267, 543, 621, 3533, 2968, 835, 540, 1250, 29202, 269, 634, 27598, 543, 8126, 344, 8137, 267, 5916, 609, 922, 1072, 2640, 267, 1500, 621, 513, 20013, 538, 1250, 2732, 269, 1809, 594, 4941, 547, 1451, 811, 827, 922, 1686, 267, 2010, 267, 543, 12478, 267, 543, 602, 779, 950, 594, 16686, 2390, 962, 601, 334, 779, 5816, 269, 962, 601, 334, 779, 3102, 3391, 547, 19176, 18506, 8118, 909, 513, 2898, 1007, 1158, 585, 803, 563, 8450, 811, 281, 476, 736, 266, 4107, 5548, 5534, 19176, 667, 17143, 338, 454, 1432, 568, 19176, 18506, 888, 2108, 8489, 568, 18506, 689, 8385, 9495, 19176, 18506, 568, 513, 1826, 540, 18506, 602, 12090, 538, 10476, 269, 634, 18506, 3294, 568, 5156, 547, 723, 12090, 538, 6239, 5607, 267, 855, 621, 814, 1044, 10150, 538, 10476, 585, 5553, 563, 763, 1818, 540, 18506, 538, 10476, 814, 7960, 936, 942, 267, 689, 519, 2757, 1505, 540, 1210, 552, 691, 1156, 2264, 17428, 547, 2413, 2553, 602, 946, 6191, 563, 312, 690, 4669, 814, 2686, 4644, 538, 10476, 267, 607, 621, 568, 5156, 547, 723, 1072, 2640, 543, 568, 1419, 1031, 538, 2757, 19176, 4915, 269, 8304, 3534, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 23733, 1315, 16930, 23123, 1315, 667, 8543, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 1626, 281, 4197, 3776, 3143, 19192, 2622, 910, 10289, 14675, 543, 3600, 15064, 21694, 692, 5970, 596, 2479, 11074, 547, 1589, 827, 782, 519, 1114, 4992, 602, 3295, 721, 1169, 1554, 286, 3245, 519, 669, 597, 4771, 540, 5017, 538, 519, 6640, 547, 519, 23832, 540, 707, 2011, 30690, 267, 938, 1158, 568, 4904, 609, 513, 1623, 21620, 540, 21089, 269, 1809, 1018, 4523, 950, 891, 21089, 1831, 1932, 10978, 610, 11566, 286, 2334, 781, 1141, 649, 991, 547, 1174, 17974, 5533, 780, 10907, 15064, 5533, 4016, 547, 519, 7050, 6846, 2157, 538, 938, 1604, 602, 666, 11874, 1764, 1312, 3425, 543, 2831, 269, 5994, 3843, 547, 1353, 585, 513, 1449, 1247, 707, 7023, 568, 1025, 8463, 2575, 1107, 621, 1131, 581, 7168, 2182, 547, 13404, 267, 1318, 286, 4270, 267, 602, 779, 1175, 835, 1383, 540, 875, 17974, 5533, 666, 1860, 721, 780, 4131, 781, 1376, 676, 1620, 3280, 3294, 269, 5620, 596, 2479, 8068, 602, 930, 4992, 616, 1164, 1790, 17097, 899, 6177, 8964, 267, 1247, 1866, 616, 1970, 1790, 17097, 899, 19711, 678, 22824, 538, 519, 3845, 286, 4400, 1790, 17097, 4992, 723, 10156, 6329, 543, 5854, 622, 5488, 982, 1970, 1790, 17097, 3283, 269, 1284, 2268, 3280, 1210, 1945, 1572, 1232, 756, 1564, 630, 323, 289, 1040, 1733, 529, 27128, 1522, 581, 1472, 476, 1789, 28108, 267, 3339, 6643, 568, 827, 476, 2568, 28108, 267, 543, 513, 4224, 13447, 666, 3914, 909, 547, 476, 6344, 28108, 256, 1160, 14075, 539, 4598, 547, 4992, 936, 476, 5952, 28108, 666, 2014, 6217, 3441, 780, 3086, 267, 1577, 781, 2911, 827, 17974, 5533, 269, 1879, 972, 616, 3586, 10978, 21089, 538, 606, 1858, 267, 971, 607, 6808, 267, 4070, 4609, 267, 610, 1256, 10978, 1753, 8305, 657, 267, 789, 1711, 17974, 5533, 269, 7043, 3856, 4598, 547, 971, 2175, 666, 1291, 547, 1072, 2152, 899, 2566, 267, 3207, 18063, 267, 9025, 2042, 267, 543, 9811, 267, 6217, 2530, 780, 5331, 2713, 2282, 606, 19633, 1141, 14742, 1491, 1055, 543, 2244, 7683, 269, 634, 6846, 1377, 1223, 3362, 9765, 2922, 7182, 267, 4929, 9636, 543, 1761, 2800, 547, 1346, 23493, 7404, 269, 4634, 693, 1153, 267, 952, 519, 4282, 6846, 568, 1932, 1164, 1813, 547, 4057, 13471, 610, 4092, 2673, 547, 11112, 9897, 267, 621, 949, 15936, 609, 1565, 780, 2467, 616, 2081, 547, 8396, 17974, 5533, 1498, 269, 31896, 4054, 543, 2870, 3039, 5624, 666, 948, 10110, 3280, 30335, 269, 22749, 666, 17997, 9602, 10851, 2282, 10506, 543, 3506, 267, 10038, 4853, 6846, 5434, 267, 543, 3895, 1857, 4656, 827, 519, 3390, 269, 2311, 1753, 267, 649, 666, 849, 3565, 676, 1373, 13533, 540, 938, 1378, 6846, 2504, 780, 1103, 3932, 267, 938, 1158, 814, 1082, 4992, 267, 855, 3006, 891, 1360, 4992, 666, 1831, 5739, 269, 1635, 1620, 17974, 5533, 267, 649, 1451, 875, 547, 2149, 6000, 543, 8190, 519, 2298, 540, 1272, 538, 938, 2950, 269, 3807, 899, 7432, 1524, 519, 4320, 950, 8384, 7641, 3735, 693, 3781, 865, 607, 711, 547, 12687, 909, 1920, 2818, 267, 1507, 3527, 666, 1118, 513, 2462, 3017, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 21893, 4647, 10765, 25790, 9927, 678, 5792, 856, 17291, 519, 7160, 4262, 1949, 267, 945, 2366, 519, 1950, 1416, 2598, 25068, 538, 519, 1985, 942, 540, 476, 1001, 273, 268, 1001, 274, 269, 769, 713, 2985, 267, 606, 840, 23150, 642, 5249, 4448, 269, 634, 7025, 17402, 17361, 543, 519, 2490, 540, 519, 7025, 4065, 4934, 2492, 17361, 267, 799, 1185, 12261, 676, 519, 10917, 3949, 267, 18796, 4824, 607, 1957, 6959, 269, 634, 3156, 22234, 1759, 856, 2429, 519, 1576, 269, 4647, 10765, 1772, 2141, 3035, 3906, 269, 634, 2104, 3741, 540, 519, 6341, 4673, 16323, 2657, 5516, 3590, 538, 476, 1220, 272, 268, 1220, 276, 269, 634, 1007, 5525, 540, 519, 6341, 4673, 16323, 2657, 5516, 3590, 538, 476, 1220, 280, 268, 1001, 274, 269, 8447, 11790, 540, 5113, 269, 533, 269, 540, 30433, 18567, 540, 570, 690, 2993, 3430, 328, 1763, 7808, 9351, 269, 1604, 543, 1249, 540, 6576, 267, 476, 272, 267, 6902, 476, 736, 268, 2190, 269, 5329, 3600, 15064, 21694, 540, 570, 690, 2993, 3430, 328, 1763, 7808, 9351, 543, 6480, 11582, 540, 922, 2376, 593, 15510, 2657, 269, 901, 32195, 513, 1434, 4647, 10765, 25790, 538, 5467, 269, 4999, 540, 3896, 2395, 689, 519, 6221, 15766, 908, 3678, 23534, 1336, 10620, 3010, 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 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19522, 547, 4543, 513, 6129, 10767, 660, 2030, 454, 4692, 2371, 9156, 689, 3141, 14315, 888, 5522, 1218, 786, 2356, 856, 326, 992, 5634, 3141, 14315, 269, 4563, 2127, 593, 3762, 666, 5815, 15470, 3441, 269, 634, 1034, 6534, 3762, 786, 1397, 811, 3441, 952, 519, 2371, 723, 1044, 562, 5792, 676, 513, 1769, 15470, 269, 674, 10008, 720, 602, 814, 1044, 8697, 676, 513, 3735, 1606, 7428, 15470, 786, 711, 9156, 267, 855, 519, 2371, 786, 2356, 856, 326, 992, 519, 3441, 269, 3842, 454, 1432, 2337, 12115, 513, 3141, 14315, 539, 2030, 888, 308, 16744, 607, 621, 568, 267, 519, 1655, 3364, 547, 798, 827, 26151, 2208, 568, 547, 4734, 621, 581, 543, 547, 1683, 607, 1454, 1216, 607, 2009, 547, 8697, 2371, 269, 8617, 2620, 14450, 2059, 609, 513, 12353, 3498, 540, 513, 32420, 512, 4577, 630, 2254, 835, 5627, 1022, 6992, 16014, 264, 2337, 2371, 547, 9156, 269, 3842, 454, 1692, 798, 596, 2847, 633, 513, 1085, 528, 3481, 2030, 888, 4131, 519, 3037, 723, 513, 2407, 27653, 267, 543, 952, 2009, 267, 1205, 519, 3003, 2030, 6632, 538, 519, 1184, 267, 538, 1931, 547, 3579, 621, 1055, 269, 1677, 1832, 707, 11255, 2030, 781, 7509, 2157, 1164, 267, 1747, 519, 1494, 538, 513, 26745, 540, 1216, 269, 1411, 786, 1616, 547, 16013, 519, 4666, 610, 1085, 528, 3481, 16714, 1310, 5265, 14450, 269, 3842, 454, 19675, 594, 2759, 1055, 3141, 14315, 539, 3762, 888, 8133, 269, 17179, 6960, 543, 12955, 3762, 689, 707, 2777, 2371, 607, 4166, 607, 2009, 267, 855, 1152, 952, 789, 2811, 811, 982, 476, 2004, 2600, 8697, 269, 28981, 1055, 891, 3762, 2636, 519, 6967, 2635, 16714, 547, 4309, 811, 5567, 543, 10607, 519, 2030, 781, 5920, 269, 3842, 454, 4692, 2030, 1205, 1932, 1454, 3141, 888, 5522, 1218, 616, 9277, 547, 6159, 557, 7943, 267, 855, 1932, 1454, 7943, 666, 1711, 5732, 14686, 1863, 18119, 269, 1809, 952, 519, 2371, 616, 6534, 547, 1932, 1454, 3141, 267, 891, 6675, 10110, 811, 1648, 982, 789, 666, 6023, 543, 5352, 19535, 2249, 540, 5135, 602, 666, 6861, 519, 2030, 269, 3842, 454, 1692, 798, 596, 917, 952, 707, 2030, 568, 3478, 1932, 1454, 3141, 888, 4692, 513, 2030, 7639, 3597, 4232, 888, 303, 1503, 784, 539, 3597, 4232, 949, 1291, 547, 2669, 540, 519, 2030, 269, 769, 3665, 2665, 267, 2371, 4299, 676, 3597, 4232, 949, 5884, 1369, 476, 1015, 2395, 269, 17848, 4232, 568, 2356, 24037, 4352, 621, 568, 1521, 762, 269, 1323, 4299, 2030, 786, 711, 7363, 7639, 267, 855, 949, 5732, 581, 9070, 730, 269, 3842, 454, 4692, 2371, 9156, 689, 3002, 2566, 888, 310, 559, 1154, 4386, 950, 1970, 7509, 538, 519, 2030, 5932, 513, 3668, 540, 1216, 2604, 1369, 519, 2030, 269, 5871, 538, 1875, 2914, 797, 344, 5993, 338, 543, 17506, 10118, 267, 1082, 2371, 786, 9156, 950, 5210, 6749, 269, 15783, 585, 8628, 3441, 4679, 609, 519, 3259, 540, 942, 602, 513, 2030, 3788, 27315, 1540, 269, 3842, 454, 1432, 616, 519, 4191, 540, 513, 12955, 2030, 888, 2080, 616, 1906, 1455, 2589, 543, 1018, 789, 949, 1611, 912, 3674, 4006, 1216, 1434, 585, 2371, 888, 16987, 2939, 532, 609, 17491, 4826, 538, 12518, 454, 2005, 4667, 9266, 547, 8263, 602, 952, 649, 1039, 4006, 950, 649, 1216, 267, 649, 1131, 2333, 519, 2208, 540, 519, 2030, 269, 1717, 267, 1932, 1454, 4006, 666, 2965, 2014, 9258, 23015, 2670, 547, 2049, 267, 1818, 519, 2030, 6336, 1216, 543, 5555, 5884, 269, 3842, 454, 19675, 4666, 3762, 581, 6569, 888, 2691, 596, 1294, 4666, 3762, 267, 26862, 11710, 267, 610, 6960, 2694, 540, 3762, 267, 2759, 873, 2476, 269, 898, 781, 5386, 547, 726, 3089, 4666, 3762, 610, 11710, 609, 707, 3946, 950, 2009, 267, 1175, 1810, 1405, 7485, 1932, 2182, 610, 596, 949, 3441, 519, 2635, 851, 540, 707, 2030, 269, 1280, 27162, 615, 11710, 610, 547, 4894, 6960, 6978, 4388, 543, 8728, 267, 946, 23805, 610, 18309, 1352, 1513, 269, 3842, 454, 3963, 798, 1250, 2371, 1413, 26151, 888, 24456, 4388, 666, 2490, 6960, 950, 789, 2811, 6534, 547, 1932, 1454, 13226, 543, 1932, 1082, 20919, 1628, 909, 538, 519, 3037, 269, 1879, 713, 4523, 547, 1494, 1540, 2371, 267, 4388, 2490, 6960, 689, 513, 2783, 1634, 607, 13226, 6633, 610, 9133, 6633, 269, 1306, 513, 1267, 267, 1216, 31398, 337, 1882, 2030, 4388, 2490, 6960, 269, 3842, 454, 19675, 594, 4894, 26151, 3289, 9792, 320, 3762, 888, 7230, 8221, 536, 27547, 24968, 10607, 519, 1413, 540, 519, 2030, 543, 585, 556, 1532, 5979, 4040, 8677, 2337, 547, 3895, 519, 2504, 540, 811, 5810, 269, 9466, 544, 641, 3650, 5810, 6920, 602, 519, 2030, 568, 3395, 538, 1932, 1454, 3141, 267, 610, 602, 519, 5810, 723, 27315, 1540, 1932, 1082, 2053, 689, 711, 2614, 14450, 269, 3842, 454, 1692, 798, 596, 2995, 952, 707, 2371, 616, 3478, 1932, 1454, 1216, 888, 1432, 1281, 606, 936, 530, 23926, 2030, 1413, 899, 888, 29819, 540, 3683, 342, 23926, 12518, 281, 1548, 547, 6733, 1280, 454, 14294, 835, 281, 1403, 513, 2030, 568, 7670, 23926, 267, 621, 786, 2693, 1020, 5835, 610, 6960, 267, 1929, 335, 3762, 607, 10353, 547, 3819, 267, 5743, 6853, 3762, 630, 6518, 616, 2965, 513, 1129, 540, 1932, 2370, 1216, 1040, 12070, 1154, 3762, 2356, 1611, 602, 3597, 4232, 814, 1305, 538, 543, 519, 5072, 666, 1100, 3476, 10110, 1216, 269, 3842, 454, 1432, 786, 4755, 952, 596, 2322, 1932, 1454, 1216, 538, 707, 2030, 888, 4407, 519, 5072, 540, 513, 2030, 1491, 909, 1216, 267, 789, 849, 991, 2011, 547, 13236, 269, 3683, 22476, 267, 538, 2241, 2474, 267, 546, 992, 985, 707, 2030, 269, 1403, 972, 568, 1932, 1454, 1216, 610, 519, 3037, 568, 7683, 6632, 267, 972, 568, 711, 2614, 2011, 22836, 269, 901, 2164, 538, 513, 3908, 5135, 3761, 543, 2371, 616, 711, 2111, 547, 13236, 269, 3842, 0, 26469, 12722, 2717, 6674, 729, 606, 1977, 18048, 543, 513, 2101, 4137, 538, 519, 7493, 4082, 626, 3350, 269, 1261, 729, 4922, 8068, 585, 1010, 834, 323, 8692, 4480, 257, 540, 26311, 610, 10943, 4770, 5277, 7622, 5862, 5196, 513, 8880, 2627, 267, 7175, 1864, 547, 2070, 543, 5862, 1010, 666, 341, 1162, 689, 782, 7285, 563, 29820, 281, 476, 2764, 5130, 476, 4489, 273, 267, 595, 1328, 267, 29131, 267, 2136, 2276, 454, 291, 1221, 281, 476, 1556, 4864, 476, 4198, 277, 267, 25951, 267, 1715, 3840, 267, 2136, 2276, 454, 8967, 1787, 281, 10557, 918, 6652, 1676, 630, 332, 269, 476, 3707, 276, 1700, 4198, 277, 994, 20540, 338, 281, 17593, 4082, 1143, 267, 7073, 1148, 267, 11059, 7206, 0, 10673, 1405, 899, 547, 1224, 888, 2419, 8522, 779, 3345, 4521, 526, 1446, 5441, 16721, 630, 301, 9448, 303, 264, 4168, 320, 543, 19811, 3786, 4926, 616, 1753, 547, 741, 13780, 958, 6444, 13458, 2782, 1874, 2875, 2516, 269, 634, 1883, 547, 891, 2516, 568, 3384, 1053, 883, 9691, 3206, 267, 1966, 9010, 1762, 4079, 563, 9961, 713, 1184, 267, 513, 3844, 4998, 6026, 547, 519, 1053, 568, 835, 540, 12560, 32593, 775, 269, 1306, 519, 2866, 5170, 267, 1053, 616, 5189, 547, 519, 3670, 3741, 540, 3751, 1014, 6348, 24825, 775, 543, 875, 547, 6451, 713, 6138, 883, 741, 3232, 1272, 269, 1452, 3741, 267, 13423, 558, 1242, 676, 3220, 269, 9410, 13162, 3751, 267, 616, 3810, 9833, 563, 763, 3751, 1014, 6348, 24825, 775, 3741, 616, 607, 5205, 281, 14362, 835, 543, 1079, 616, 32593, 775, 568, 513, 1259, 540, 1272, 585, 29752, 1004, 267, 543, 519, 11537, 2146, 568, 519, 5943, 585, 519, 2104, 269, 14362, 1614, 543, 2185, 4323, 4229, 540, 9409, 267, 711, 7606, 3257, 9409, 267, 543, 3398, 7092, 1510, 1427, 531, 2747, 585, 519, 2014, 779, 19160, 547, 3035, 513, 3804, 269, 7053, 267, 519, 2063, 1079, 616, 547, 2057, 4835, 5208, 540, 519, 6891, 543, 5007, 2168, 5208, 563, 5475, 3811, 12032, 540, 2866, 267, 1053, 32410, 547, 513, 1272, 540, 32593, 775, 1247, 3450, 1866, 269, 715, 9448, 303, 779, 13458, 2782, 19144, 9797, 1764, 519, 4081, 2528, 543, 5790, 676, 3927, 2502, 1053, 607, 3401, 593, 741, 3786, 4926, 269, 1452, 3401, 948, 6175, 5208, 267, 2333, 1620, 267, 543, 1683, 11215, 19093, 547, 9601, 540, 15779, 2621, 563, 4415, 713, 267, 519, 2528, 593, 13464, 3587, 8902, 543, 7109, 762, 585, 922, 5234, 543, 1053, 269, 901, 4998, 22471, 559, 4259, 568, 711, 1152, 835, 540, 1447, 5208, 855, 835, 602, 2488, 513, 4062, 540, 2247, 585, 1346, 945, 723, 4810, 5208, 543, 8194, 538, 741, 2729, 2907, 269, 634, 1565, 1604, 1058, 581, 835, 540, 3356, 543, 7607, 267, 543, 519, 13458, 2782, 19144, 960, 547, 2327, 602, 4523, 563, 15987, 715, 9448, 303, 1053, 8362, 1031, 519, 11036, 547, 1689, 875, 741, 2146, 20781, 547, 6411, 540, 5208, 267, 513, 1505, 6580, 1394, 7366, 540, 1296, 563, 1103, 519, 476, 1704, 628, 2540, 267, 6723, 16737, 8547, 519, 16241, 5980, 540, 14886, 267, 1631, 1634, 607, 2372, 5474, 538, 4789, 269, 634, 1895, 5156, 602, 519, 4527, 540, 2696, 759, 3660, 538, 782, 1004, 543, 602, 972, 1058, 581, 5289, 7862, 585, 2367, 543, 2021, 563, 29662, 750, 16737, 2451, 2296, 11068, 4133, 538, 519, 476, 13932, 271, 338, 538, 3406, 540, 5289, 21481, 269, 2201, 1010, 17714, 267, 16737, 5433, 519, 4527, 540, 2696, 6340, 2047, 547, 1864, 267, 538, 1945, 602, 646, 1572, 968, 13449, 902, 892, 602, 5795, 1864, 4287, 269, 1261, 3838, 1010, 4978, 538, 1804, 19771, 563, 1103, 476, 13679, 273, 267, 16737, 1558, 20152, 26665, 267, 513, 2104, 6205, 540, 519, 2038, 2372, 6033, 3350, 269, 4173, 1753, 267, 4210, 14390, 332, 3233, 8065, 538, 19566, 4789, 267, 729, 8246, 607, 513, 5870, 1747, 585, 2372, 6033, 19771, 269, 16737, 543, 26665, 9310, 538, 476, 14917, 278, 563, 7712, 21945, 538, 519, 2136, 2276, 538, 519, 4571, 268, 13679, 271, 338, 267, 2372, 5474, 13736, 31390, 604, 1143, 543, 3540, 2924, 269, 1358, 849, 5129, 4105, 5107, 538, 519, 20552, 626, 543, 2021, 779, 2924, 5322, 563, 763, 2165, 2372, 6033, 729, 7620, 1767, 538, 733, 3319, 585, 519, 1895, 543, 1866, 945, 6462, 519, 1895, 779, 3661, 538, 519, 6426, 8574, 968, 339, 8145, 1076, 693, 519, 6478, 540, 519, 7083, 1848, 1717, 267, 519, 1895, 17947, 519, 2012, 543, 2699, 18249, 519, 2165, 998, 3527, 2864, 982, 1913, 563, 23208, 9193, 2161, 602, 519, 2372, 5474, 6603, 476, 2004, 267, 1822, 2818, 538, 476, 14917, 271, 269, 8033, 5224, 547, 3262, 998, 6628, 267, 1082, 1004, 16363, 2372, 6033, 4978, 9097, 267, 609, 2093, 899, 2021, 543, 2367, 1373, 5289, 11224, 543, 8951, 1373, 2111, 547, 3717, 856, 1282, 10847, 269, 13966, 609, 1100, 4013, 26110, 543, 3909, 12738, 267, 789, 849, 8359, 711, 547, 946, 10297, 971, 607, 968, 7312, 700, 3581, 1222, 892, 543, 968, 7069, 15248, 3034, 18455, 513, 19995, 540, 32593, 775, 1705, 711, 1439, 609, 519, 2372, 5474, 282, 11599, 5515, 899, 8575, 32257, 19413, 543, 3220, 269, 9410, 13162, 3751, 12789, 269, 616, 4371, 538, 1164, 17192, 585, 12703, 543, 15400, 3646, 538, 12560, 13889, 543, 17933, 538, 519, 2038, 2173, 573, 476, 5002, 271, 338, 269, 1358, 5645, 519, 25136, 543, 723, 6273, 519, 15055, 540, 715, 9448, 303, 547, 581, 15156, 585, 4708, 543, 10103, 538, 741, 1565, 5054, 543, 2950, 267, 11319, 519, 23508, 4464, 563, 24309, 676, 631, 1731, 531, 17378, 31760, 454, 10955, 1243, 676, 2701, 6511, 21662, 517, 454, 2419, 8522, 595, 7034, 5240, 281, 13458, 2782, 19144, 786, 3984, 513, 4901, 609, 3115, 269, 667, 15967, 16026, 593, 7141, 5208, 676, 667, 15967, 16026, 454, 301, 9448, 303, 9391, 269, 3036, 294, 281, 19598, 542, 532, 519, 2014, 540, 12560, 267, 32593, 550, 4485, 547, 6061, 2042, 454, 8722, 25733, 12005, 3938, 17940, 540, 24910, 1684, 1961, 344, 779, 674, 5585, 337, 8525, 1107, 11300, 12780, 17821, 454, 11900, 564, 12005, 3938, 17940, 540, 3627, 8065, 30778, 674, 5585, 337, 8525, 1107, 11300, 12780, 17821, 0, 4002, 476, 276, 5147, 476, 1001, 277, 519, 11780, 31981, 6034, 633, 630, 1001, 277, 270, 280, 6246, 27582, 308, 1070, 3964, 676, 519, 3864, 5742, 267, 786, 2097, 883, 3196, 269, 634, 9167, 4759, 2829, 786, 723, 1079, 1296, 547, 1098, 2821, 519, 6034, 633, 883, 3084, 1876, 269, 634, 3804, 540, 519, 6034, 633, 568, 547, 1711, 513, 1732, 4027, 540, 4123 ]

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

[ 12608, 6500, 899, 23820, 10381, 28077, 23601, 32395, 267, 5671, 3960, 1194, 609, 9932, 19122, 1175, 5195, 2476, 269, 3143, 2339, 1018, 8743, 956, 707, 6492, 19512, 267, 972, 781, 1945, 632, 937, 762, 7996, 585, 596, 693, 513, 16713, 3094, 2044, 563, 274, 269, 17828, 30449, 902, 454, 310, 710, 543, 1426, 941, 5921, 547, 581, 10150, 1927, 267, 543, 16713, 3094, 7685, 1174, 713, 1732, 982, 4896, 269, 3509, 24284, 2308, 9952, 1474, 17745, 4536, 945, 5402, 1225, 622, 30010, 10372, 585, 1142, 8670, 593, 519, 10624, 269, 1452, 4648, 2015, 2188, 971, 607, 2597, 267, 9403, 267, 23639, 267, 29284, 267, 543, 512, 2335, 1231, 547, 1711, 18900, 10659, 602, 21592, 1312, 519, 9174, 543, 519, 7594, 269, 5213, 1405, 581, 14281, 952, 596, 3605, 1007, 29202, 1247, 18226, 693, 513, 16713, 3094, 2044, 2336, 275, 269, 589, 23281, 540, 9255, 454, 2467, 781, 1945, 5963, 2027, 827, 11981, 513, 7594, 1247, 11303, 676, 519, 1360, 2244, 602, 3812, 922, 5820, 269, 2311, 16713, 3094, 7685, 267, 596, 666, 1745, 4448, 547, 519, 3618, 543, 2146, 1472, 596, 267, 1818, 707, 18226, 1995, 1454, 811, 6209, 269, 9578, 267, 2921, 538, 10875, 5784, 540, 12902, 15113, 4988, 538, 18812, 341, 1149, 6157, 8591, 547, 519, 5605, 4800, 2336, 276, 269, 8342, 4804, 19662, 454, 14106, 1746, 513, 16713, 3094, 2044, 3884, 1405, 1175, 827, 4189, 1390, 1426, 282, 621, 781, 849, 606, 4316, 547, 1451, 827, 6237, 6683, 267, 3857, 22450, 2853, 267, 543, 8819, 25348, 2553, 269, 3509, 3094, 7685, 2709, 19150, 267, 13820, 902, 267, 543, 3872, 2621, 2966, 4481, 585, 8049, 8186, 899, 16523, 269, 5808, 6487, 910, 6148, 596, 3513, 10625, 513, 6456, 13007, 585, 5986, 610, 9174, 7071, 2059, 519, 1259, 2439, 3383, 1985, 942, 596, 1265, 3054, 6159, 1324, 513, 12300, 11477, 7045, 267, 3314, 602, 16713, 3094, 7685, 723, 7899, 547, 2709, 269, 2060, 4195, 5820, 267, 3860, 8286, 267, 3501, 6292, 902, 267, 543, 513, 2178, 2631, 540, 1747, 267, 891, 18353, 786, 4734, 596, 4743, 13854, 543, 6273, 269, 8414, 18226, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 307, 7056, 24385, 340, 779, 11477, 6429, 568, 811, 7524, 982, 2479, 269, 898, 779, 519, 1482, 2066, 3127, 1141, 2199, 1543, 15888, 543, 513, 3395, 18226, 856, 6429, 616, 4657, 519, 1259, 649, 3548, 543, 3561, 891, 8823, 269, 2755, 2757, 20474, 11951, 3788, 519, 1292, 560, 599, 540, 519, 1533, 779, 3309, 11477, 6429, 267, 519, 2462, 4872, 538, 835, 540, 3127, 779, 1034, 4683, 2213, 2829, 616, 1373, 8032, 676, 513, 11100, 540, 3486, 543, 6469, 11477, 3466, 269, 3245, 16441, 333, 2967, 779, 7524, 7489, 18226, 6429, 547, 8496, 29718, 779, 8076, 8265, 1426, 6429, 547, 2840, 344, 8643, 9634, 538, 667, 785, 580, 592, 267, 649, 1491, 596, 998, 930, 540, 20474, 24385, 340, 779, 1034, 7524, 1426, 4872, 563, 2080, 3657, 476, 275, 7454, 5253, 773, 20079, 2986, 20474, 24385, 340, 912, 1320, 334, 784, 30865, 600, 1107, 519, 2749, 602, 2760, 3207, 338, 269, 8496, 29718, 568, 835, 540, 519, 1158, 779, 9510, 20948, 4872, 609, 513, 7990, 995, 1686, 602, 7389, 1394, 936, 1079, 27453, 269, 898, 849, 4249, 856, 538, 519, 2749, 779, 1426, 6429, 269, 1261, 597, 5979, 558, 10346, 4341, 519, 887, 739, 267, 14060, 1141, 11792, 531, 553, 616, 1869, 1688, 268, 3033, 543, 1141, 12051, 13402, 11792, 531, 553, 616, 535, 27547, 2390, 269, 1403, 4573, 2023, 568, 707, 555, 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, 29309, 14873, 12736, 7685, 262, 26943, 2435, 26657, 257, 607, 851, 540, 834, 23733, 1315, 13636, 1299, 8836, 1315, 1977, 1315, 5664, 5375, 2276, 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, 4197, 3557, 11059, 1684, 551, 9068, 543, 4706, 11957, 538, 1977, 22640, 692, 1103, 3013, 267, 649, 1871, 938, 2924, 543, 22624, 16798, 896, 519, 9139, 269, 1717, 267, 3006, 1346, 2924, 666, 581, 12219, 267, 1256, 676, 938, 1378, 2229, 256, 901, 568, 1141, 519, 1523, 540, 834, 8063, 2962, 14985, 257, 2501, 883, 1404, 269, 898, 781, 513, 2629, 2856, 538, 1620, 875, 938, 3656, 1062, 1568, 543, 14014, 721, 269, 2913, 781, 2263, 713, 4241, 1888, 1927, 2439, 5331, 596, 2661, 538, 513, 4884, 1141, 1152, 1004, 945, 7390, 513, 1978, 1153, 1205, 547, 8917, 538, 2199, 12836, 269, 16319, 15490, 267, 1318, 286, 4270, 267, 621, 6157, 4422, 1996, 835, 540, 519, 1034, 4909, 3741, 540, 9111, 1107, 3160, 13359, 2924, 585, 782, 4961, 269, 1809, 1018, 952, 707, 4884, 781, 25650, 3081, 789, 723, 1169, 1318, 547, 798, 713, 1317, 789, 2813, 519, 4341, 2933, 286, 2334, 781, 950, 519, 1533, 2962, 14985, 3268, 538, 780, 763, 1533, 2962, 14985, 568, 513, 6240, 602, 2337, 3313, 2436, 1945, 2944, 676, 513, 4357, 3919, 610, 1367, 666, 581, 2808, 796, 6247, 6627, 267, 2495, 621, 3423, 919, 2576, 781, 2924, 6870, 676, 519, 9139, 269, 4340, 547, 713, 14985, 267, 1175, 1317, 606, 11769, 3884, 1405, 12799, 5018, 538, 519, 9139, 3085, 1405, 1611, 621, 666, 23304, 731, 13338, 20038, 269, 5502, 267, 972, 1590, 581, 930, 4276, 1063, 519, 2229, 543, 519, 3527, 3144, 676, 1866, 269, 1403, 971, 513, 3095, 6818, 267, 1287, 519, 1533, 2962, 14985, 10039, 267, 3850, 10470, 547, 2689, 2436, 891, 3527, 941, 13338, 780, 4131, 781, 979, 1394, 547, 938, 1383, 269, 14597, 513, 5480, 9060, 856, 602, 4352, 519, 25650, 1500, 909, 519, 13359, 3652, 267, 789, 1031, 1857, 2200, 899, 2749, 7482, 610, 3959, 547, 17997, 873, 269, 4595, 972, 781, 1631, 513, 2312, 4276, 1063, 519, 2229, 543, 519, 25641, 2259, 267, 519, 1533, 2962, 14985, 1131, 4019, 269, 1306, 513, 1267, 267, 519, 5480, 1223, 4983, 2436, 27102, 13359, 2924, 1759, 593, 1153, 20343, 568, 4847, 896, 519, 9139, 269, 2859, 1419, 982, 711, 267, 621, 9327, 1405, 1780, 519, 1449, 2094, 7862, 538, 13359, 2924, 568, 7184, 3824, 11712, 538, 1977, 9111, 780, 3086, 1577, 781, 1413, 693, 513, 1483, 2013, 5473, 519, 1533, 2962, 14985, 1572, 22630, 642, 269, 9995, 619, 269, 901, 3576, 1747, 1282, 519, 6406, 7126, 11873, 5736, 950, 7292, 17478, 1869, 11478, 538, 1082, 2694, 540, 3013, 269, 589, 27779, 13934, 11908, 781, 10315, 1770, 1062, 267, 799, 21248, 811, 2797, 1379, 547, 1447, 20651, 2127, 1765, 2865, 569, 3043, 6917, 4525, 269, 901, 8507, 538, 21376, 6041, 3379, 547, 29822, 20651, 4683, 7740, 267, 15866, 3979, 1977, 269, 1635, 7311, 519, 1533, 2962, 14985, 267, 519, 10966, 7040, 12199, 602, 519, 10315, 1770, 1062, 26991, 519, 26321, 10466, 1849, 1021, 540, 519, 9050, 18818, 14821, 269, 9182, 267, 713, 19506, 3375, 5280, 7794, 13359, 2924, 2066, 519, 2197, 780, 8139, 519, 1533, 2962, 14985, 2636, 721, 547, 5660, 519, 10347, 3666, 1063, 2123, 5191, 543, 2229, 6304, 269, 2755, 2043, 949, 2972, 3376, 23118, 1369, 741, 3232, 2729, 267, 6608, 3112, 1450, 7130, 610, 26418, 906, 2390, 11156, 958, 6870, 2924, 269, 3414, 2665, 899, 22630, 642, 269, 9995, 619, 267, 649, 1451, 3407, 4245, 827, 14619, 267, 5126, 267, 543, 8497, 9111, 269, 1924, 1832, 3695, 267, 3251, 8049, 267, 543, 3314, 602, 6616, 707, 2924, 543, 875, 789, 2811, 9580, 12023, 2306, 596, 513, 1732, 12504, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 294, 6938, 312, 966, 269, 590, 13263, 8991, 267, 476, 4391, 273, 772, 269, 590, 269, 476, 3607, 279, 630, 3422, 274, 264, 29771, 547, 27418, 602, 13712, 476, 4391, 273, 772, 269, 590, 269, 476, 3607, 279, 454, 308, 2529, 269, 10966, 7040, 454, 294, 2001, 642, 269, 9995, 619, 267, 476, 4391, 273, 772, 2529, 269, 476, 3607, 279, 630, 3422, 274, 994, 294, 2001, 642, 269, 9995, 619, 454, 26855, 4240, 5130, 476, 1704, 267, 476, 3422, 274, 454, 13356, 3660, 4728, 476, 1240, 267, 476, 3422, 274, 454, 4391, 273, 772, 2529, 269, 476, 3607, 279, 454, 4338, 14154, 3201, 20978, 5990, 6167, 3951, 3633, 29865, 2464, 667, 8780, 30278, 307, 2910, 7838, 307, 454, 19489, 5990, 715, 3036, 8025, 30204, 667, 8780, 30278, 307, 5508, 23817, 3036, 294, 8656, 454, 7343, 16279, 324, 267, 513, 11727, 28056, 538, 3119, 543, 2489, 12836, 538, 674, 738, 517, 10315, 267, 11908, 267, 647, 539, 538, 513, 8549, 10588, 7040, 547, 1964, 1778, 813, 749, 1218, 267, 519, 14199, 540, 3557, 543, 8387, 540, 519, 3557, 14891, 15445, 9730, 267, 689, 1210, 11908, 781, 10315, 1770, 1062, 607, 513, 4493, 585, 10203, 16018, 538, 513, 14891, 3119, 9550, 585, 519, 9930, 1588, 540, 513, 2136, 2276, 27737, 543, 1533, 4204, 10492, 4534, 799, 729, 18374, 6697, 547, 9550, 269, 6270, 3119, 12836, 616, 18170, 676, 513, 11908, 29417, 267, 799, 729, 29567, 538, 476, 3422, 273, 865, 607, 547, 21138, 1770, 16018, 547, 17521, 607, 5205, 281, 17521, 609, 5095, 711, 23630, 476, 1428, 267, 1822, 267, 1079, 4559, 282, 606, 3606, 1770, 585, 519, 1985, 476, 276, 267, 1822, 7606, 282, 606, 3606, 579, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13750, 11059, 1684, 551, 9068, 257, 607, 851, 540, 834, 30311, 1315, 25799, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1480, 2960, 269, 634, 30624, 25193, 3075, 11337, 27019, 31152, 29620, 623, 269, 1035, 5886, 9067, 848, 2534, 269, 1284, 5892, 4951, 602, 519, 3075, 849, 29620, 519, 2208, 540, 623, 269, 1035, 5886, 269, 4935, 267, 11337, 27019, 31152, 949, 4196, 607, 606, 4244, 2126, 585, 18383, 5175, 3258, 529, 267, 799, 568, 1271, 1317, 519, 1297, 540, 15084, 15033, 623, 269, 1035, 5886, 12490, 814, 1044, 2810, 269, 9736, 476, 1001, 278, 634, 5081, 7724, 543, 3627, 25067, 1299, 25860, 5245, 267, 13456, 563, 21918, 267, 1411, 333, 5336, 809, 282, 13690, 267, 590, 2426, 661, 684, 282, 13690, 267, 962, 784, 1924, 334, 282, 1744, 514, 267, 8479, 3687, 282, 8614, 784, 267, 590, 2426, 769, 282, 11835, 267, 6129, 268, 21930, 282, 717, 342, 517, 267, 13535, 328, 11219, 324, 784, 282, 5244, 267, 808, 784, 5498, 758, 282, 715, 14833, 267, 8479, 16644, 836, 282, 13690, 267, 808, 784, 4211, 515, 565, 282, 13690, 267, 1530, 784, 11219, 836, 282, 1744, 514, 267, 1261, 2426, 3383, 334, 454, 303, 1886, 542, 756, 1461, 1756, 1035, 5886, 630, 303, 269, 1035, 5886, 1070, 835, 540, 519, 26103, 24059, 267, 3123, 12982, 18383, 269, 1677, 1265, 513, 3209, 6646, 585, 8156, 519, 6553, 3361, 676, 623, 269, 1035, 5886, 267, 649, 11567, 519, 4550, 1532, 17424, 543, 4550, 13611, 2238, 540, 1896, 16909, 21555, 1996, 623, 269, 1035, 5886, 269, 634, 25694, 21555, 689, 2947, 12015, 11922, 267, 623, 17850, 30705, 1258, 993, 675, 333, 572, 22859, 1440, 1421, 623, 2801, 8205, 14915, 604, 3271, 320, 623, 23775, 1421, 670, 719, 14654, 2106, 807, 10260, 1092, 774, 684, 321, 1421, 3397, 3234, 8205, 533, 3342, 320, 27439, 20623, 269, 543, 31946, 1097, 337, 9071, 21289, 579, 1537, 18424, 674, 27688, 1421, 941, 5423, 543, 6404, 269, 769, 713, 4603, 267, 476, 272, 8406, 270, 6447, 540, 519, 16909, 1349, 7848, 3361, 513, 6175, 538, 519, 2208, 540, 623, 269, 1035, 5886, 543, 4389, 519, 2504, 540, 605, 13611, 29299, 267, 570, 22143, 268, 10382, 267, 14889, 268, 279, 267, 14889, 268, 272, 15512, 543, 14889, 268, 277, 267, 538, 1480, 1395, 7514, 6776, 8946, 303, 268, 272, 2281, 5701, 609, 3002, 10275, 2683, 623, 269, 1035, 5886, 269, 4475, 267, 713, 16909, 1349, 7848, 949, 4865, 1312, 4550, 1532, 17424, 543, 4550, 13611, 2238, 1996, 623, 269, 1035, 5886, 543, 666, 581, 513, 3209, 9354, 8665, 585, 8156, 12982, 18383, 563, 298, 14535, 580, 267, 10127, 22978, 282, 5576, 928, 1188, 523, 10767, 3455, 267, 29464, 282, 12920, 1067, 267, 11835, 1120, 282, 570, 668, 6199, 267, 23745, 808, 5919, 6008, 10719, 267, 23052, 6504, 654, 563, 26807, 4551, 616, 2111, 547, 30075, 4496, 6954, 24638, 533, 6973, 10455, 1231, 543, 666, 4061, 581, 9571, 676, 6213, 1313, 1993, 1663, 2803, 12412, 7403, 538, 519, 2699, 19706, 3148, 269, 634, 533, 6973, 10455, 514, 26148, 24059, 11330, 542, 756, 1461, 1756, 1035, 5886, 267, 799, 568, 3238, 538, 519, 31630, 540, 18383, 5175, 3258, 529, 267, 729, 22297, 538, 1480, 2960, 269, 15190, 337, 958, 17251, 28264, 2592, 540, 4551, 3892, 538, 519, 3068, 941, 5833, 676, 513, 3500, 1606, 4754, 595, 7374, 8254, 5916, 609, 513, 7113, 762, 5277, 12627, 6882, 269, 634, 11295, 1313, 1993, 1663, 2803, 12412, 540, 5959, 1286, 625, 543, 5959, 15799, 538, 519, 2699, 568, 3361, 676, 5711, 4551, 267, 899, 645, 1461, 32403, 610, 2920, 514, 3912, 806, 5212, 2632, 32673, 639, 269, 2387, 290, 2456, 2592, 262, 941, 2813, 676, 942, 3766, 730, 9196, 538, 519, 562, 338, 15696, 542, 1310, 24318, 1662, 677, 8955, 29835, 269, 5384, 3766, 730, 7403, 1450, 519, 21109, 540, 19758, 322, 13593, 1769, 543, 1875, 268, 1602, 874, 10455, 514, 1313, 1993, 1663, 2803, 12412, 269, 4437, 3591, 625, 540, 5711, 2695, 13904, 1591, 26217, 17820, 2699, 1313, 1993, 1663, 2803, 12412, 538, 683, 23145, 6776, 4525, 543, 1164, 9830, 540, 519, 533, 6973, 10455, 514, 26148, 24059, 28342, 14137, 553, 7098, 580, 684, 6242, 269, 1452, 2090, 2303, 602, 519, 13796, 543, 19706, 4162, 540, 9190, 1313, 1993, 1663, 2803, 12412, 666, 581, 1031, 538, 519, 5868, 543, 2126, 540, 513, 3099, 540, 3676, 563, 4517, 619, 523, 267, 772, 966, 282, 22365, 655, 5674, 518, 267, 595, 681, 282, 1677, 1111, 267, 715, 282, 744, 3149, 523, 267, 590, 715, 282, 10496, 10849, 523, 267, 590, 282, 715, 1408, 11420, 267, 631, 918, 454, 300, 580, 7992, 16200, 2643, 639, 5175, 3258, 529, 543, 679, 1097, 23264, 2166, 987, 739, 7631, 16793, 2014, 513, 22297, 12982, 3210, 538, 9640, 269, 898, 568, 7164, 2436, 891, 16793, 29360, 513, 11528, 8650, 5123, 3210, 630, 4338, 305, 1070, 23576, 676, 2242, 538, 16796, 26887, 1355, 589, 630, 6347, 288, 1070, 688, 696, 18331, 630, 295, 335, 1070, 4401, 630, 8722, 1070, 11549, 6058, 267, 610, 11549, 6058, 270, 6921, 984, 6081, 630, 288, 27798, 264, 5223, 269, 769, 713, 1353, 267, 476, 2764, 9640, 941, 14477, 21248, 547, 4309, 2901, 7510, 7949, 601, 25188, 3433, 610, 513, 10652, 548, 1540, 21897, 19862, 538, 741, 3232, 3049, 269, 1230, 9690, 609, 2126, 267, 782, 519, 9640, 941, 13950, 476, 4335, 271, 7510, 7949, 601, 1606, 639, 1061, 1043, 2166, 987, 739, 7631, 3468, 633, 16793, 2899, 3232, 267, 476, 276, 2395, 513, 3018, 267, 585, 476, 2190, 4374, 269, 22073, 538, 519, 11359, 3018, 267, 519, 9640, 849, 4607, 476, 1839, 590, 269, 5175, 3258, 529, 16793, 2899, 12353, 585, 519, 14230, 540, 519, 1353, 269, 2311, 2834, 1979, 15553, 569, 11996, 267, 32740, 5439, 941, 6394, 585, 11050, 4212, 12523, 267, 543, 2898, 1973, 543, 16796, 5439, 941, 6394, 585, 6482, 540, 14095, 1591, 4320, 267, 2698, 3940, 267, 11549, 6058, 267, 5895, 6081, 267, 589, 27798, 5223, 267, 590, 8150, 267, 670, 335, 267, 543, 3171, 269, 2201, 2395, 476, 14065, 268, 13932, 267, 782, 519, 9640, 941, 552, 3578, 534, 520, 1242, 543, 683, 23145, 1186, 1221, 269, 27842, 941, 6394, 585, 21773, 3130, 540, 2698, 561, 636, 1400, 21431, 24675, 267, 679, 1097, 23264, 2166, 987, 739, 7631, 12586, 1998, 5095, 267, 543, 4955, 7992, 590, 269, 5175, 3258, 529, 16793, 269, 24517, 5928, 540, 670, 335, 267, 3171, 267, 543, 589, 27798, 5223, 941, 2404, 3648, 609, 2178, 1803, 24675, 269, 8307, 5701, 5256, 9640, 1185, 1713, 4679, 538, 16796, 11549, 6058, 269, 30038, 1998, 590, 269, 5175, 3258, 529, 1705, 711, 12314, 609, 3171, 267, 6466, 3171, 729, 2404, 11874, 609, 1312, 2698, 2166, 987, 739, 7631, 24675, 543, 679, 1097, 23264, 700, 275, 338, 269, 634, 589, 27798, 12753, 28209, 3648, 1063, 519, 1079, 2126, 2516, 269, 31056, 3604, 1063, 2516, 543, 1367, 942, 2798, 941, 849, 4767, 585, 670, 335, 543, 3171, 267, 6466, 590, 8150, 9830, 7283, 1970, 2429, 519, 1353, 269, 769, 2489, 267, 713, 1353, 11609, 602, 8097, 26912, 2827, 609, 590, 269, 5175, 3258, 529, 543, 2166, 987, 739, 558, 1231, 949, 581, 2404, 609, 2242, 538, 670, 335, 267, 3171, 267, 543, 16796, 5946, 267, 855, 711, 609, 590, 8150, 269, 15788, 267, 891, 2242, 2303, 602, 6404, 2178, 1803, 5563, 29360, 513, 7646, 8650, 5123, 5114, 454, 292, 24351, 543, 3106, 540, 804, 785, 18081, 11142, 19552, 476, 272, 269, 273, 260, 270, 339, 4958, 3626, 514, 476, 271, 269, 28276, 260, 19862, 585, 519, 2126, 540, 18383, 5175, 3258, 529, 281, 7535, 539, 2079, 540, 1239, 689, 1614, 4351, 2213, 267, 5595, 15918, 785, 267, 6252, 31228, 267, 5123, 8633, 2090, 563, 7804, 2946, 7224, 267, 23394, 527, 974, 282, 5975, 339, 10008, 267, 966, 4532, 523, 15605, 282, 744, 577, 338, 754, 21807, 267, 674, 1779, 282, 20233, 2023, 267, 1325, 2581, 631, 282, 28828, 345, 267, 3933, 1206, 518, 7806, 282, 667, 752, 990, 545, 267, 681, 3385, 282, 717, 3326, 333, 1157, 267, 4498, 12245, 454, 763, 12117, 543, 3106, 540, 804, 785, 18081, 11142, 19552, 476, 272, 269, 273, 260, 270, 339, 4958, 3626, 514, 476, 271, 269, 28276, 260, 630, 28058, 268, 6938, 264, 941, 11117, 538, 1614, 476, 1321, 22173, 4351, 2213, 2090, 269, 1677, 1685, 513, 7535, 539, 2079, 540, 1239, 689, 891, 2090, 547, 6218, 7885, 268, 6938, 781, 12117, 543, 3106, 538, 513, 3677, 2949, 2551, 267, 538, 1016, 25364, 540, 10708, 543, 2687, 547, 18383, 10335, 269, 476, 3393, 276, 271, 2550, 941, 4351, 2213, 547, 7885, 268, 6938, 267, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 269, 10159, 340, 725, 3769, 6871, 1689, 538, 15087, 267, 2126, 1967, 2557, 267, 17114, 540, 2550, 609, 21759, 2004, 260, 610, 21759, 3199, 260, 6024, 5786, 538, 15087, 267, 8801, 2621, 543, 2759, 10389, 7109, 1464, 269, 769, 519, 2949, 2551, 267, 519, 6871, 5786, 538, 12982, 267, 1875, 13611, 543, 2698, 15087, 543, 519, 2126, 1967, 2557, 941, 3648, 3152, 609, 7885, 268, 6938, 3379, 609, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 4805, 630, 718, 533, 283, 271, 269, 4905, 1040, 634, 6871, 5786, 538, 782, 2010, 540, 15087, 729, 849, 3648, 3152, 609, 7885, 268, 6938, 538, 519, 15730, 32299, 630, 29720, 276, 2550, 267, 533, 283, 271, 269, 16573, 264, 543, 538, 2550, 609, 7646, 270, 7116, 4733, 18383, 630, 3607, 277, 273, 2550, 267, 533, 283, 271, 269, 6349, 264, 8957, 4086, 2209, 269, 769, 2550, 609, 4049, 18383, 630, 333, 815, 476, 279, 3199, 1070, 519, 6871, 5786, 538, 782, 27295, 2010, 729, 3648, 3152, 609, 7885, 268, 6938, 8957, 6174, 630, 335, 283, 271, 269, 1822, 272, 1040, 589, 3152, 8167, 540, 7885, 268, 6938, 5701, 2550, 1185, 513, 21759, 2004, 260, 610, 21759, 3199, 260, 6024, 5786, 538, 782, 2010, 540, 15087, 693, 3018, 476, 1321, 3379, 609, 804, 785, 18081, 11142, 267, 1726, 339, 3626, 514, 543, 6174, 269, 1520, 2091, 2680, 12451, 538, 519, 3742, 543, 6174, 2516, 941, 2147, 269, 5178, 5202, 14194, 3286, 539, 1611, 7109, 1464, 8464, 936, 942, 941, 2999, 272, 630, 332, 843, 264, 543, 2147, 538, 782, 2516, 269, 7885, 268, 6938, 568, 2922, 267, 814, 9120, 12117, 547, 922, 5057, 1395, 6139, 1905, 625, 543, 1058, 581, 2808, 607, 835, 540, 519, 1101, 11060, 11257, 585, 7646, 3562, 21524, 4733, 11132, 18383, 563, 292, 24351, 543, 3106, 540, 740, 777, 531, 2940, 15074, 476, 271, 269, 272, 260, 543, 476, 271, 269, 274, 260, 543, 1726, 339, 3626, 514, 15074, 476, 271, 269, 4962, 260, 585, 18383, 5175, 3258, 529, 281, 2164, 540, 513, 2582, 7266, 518, 267, 19747, 267, 5595, 15918, 14800, 267, 21897, 22306, 4791, 4693, 593, 11204, 2550, 630, 338, 7219, 1826, 8633, 268, 4353, 1916, 307, 328, 2784, 334, 4149, 17505, 31712, 267, 1656, 337, 15530, 282, 25385, 6403, 526, 7637, 267, 962, 13873, 328, 6428, 553, 282, 623, 517, 576, 14114, 331, 1853, 320, 267, 28266, 3057, 17144, 282, 12844, 604, 1794, 267, 22354, 549, 454, 763, 12117, 540, 22521, 1427, 27546, 568, 1134, 1634, 2687, 547, 1896, 4791, 2090, 5342, 15866, 1851, 24272, 22057, 2550, 269, 901, 1353, 6322, 547, 6218, 519, 12117, 543, 3106, 9043, 540, 740, 777, 531, 2940, 543, 1726, 339, 3626, 514, 1851, 11204, 2550, 269, 1677, 5635, 740, 777, 531, 2940, 476, 271, 269, 272, 543, 476, 271, 269, 274, 260, 543, 1726, 339, 3626, 514, 476, 271, 269, 4962, 260, 538, 11204, 5396, 609, 18383, 5175, 3258, 529, 269, 1284, 19801, 476, 14378, 2550, 538, 713, 2582, 7266, 518, 267, 19747, 267, 5595, 15918, 14800, 267, 21897, 22306, 4791, 4693, 269, 634, 2550, 4294, 593, 519, 3068, 2901, 740, 777, 531, 2940, 476, 271, 269, 272, 9077, 740, 777, 531, 2940, 476, 271, 269, 274, 9077, 1726, 339, 3626, 514, 476, 271, 269, 4962, 9077, 610, 21897, 585, 476, 3445, 2395, 543, 941, 11117, 585, 519, 5786, 538, 2698, 27295, 12523, 543, 585, 519, 1377, 540, 16698, 269, 570, 4958, 3626, 514, 476, 271, 269, 4962, 260, 543, 740, 777, 531, 2940, 476, 271, 269, 274, 260, 941, 811, 2500, 982, 740, 777, 531, 2940, 476, 271, 269, 272, 260, 543, 21897, 538, 519, 5786, 540, 1312, 12982, 543, 1875, 514, 11987, 15087, 269, 4107, 540, 8801, 2621, 547, 740, 777, 531, 2940, 543, 1082, 593, 1726, 339, 3626, 514, 1895, 941, 1644, 547, 2960, 16698, 267, 3819, 2960, 267, 18440, 267, 929, 584, 7978, 267, 8781, 267, 543, 2022, 514 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 557, 559, 519, 7096, 1764, 540, 5026, 538, 519, 13795, 540, 1272, 563, 1103, 519, 6946, 13795, 540, 1480, 1272, 267, 5026, 798, 711, 8806, 8915, 607, 16837, 569, 2250, 1307, 282, 2864, 267, 789, 13822, 7096, 29293, 602, 5704, 2299, 15827, 883, 1169, 25246, 540, 938, 2729, 269, 634, 4644, 540, 5026, 25186, 519, 6302, 540, 6071, 3756, 543, 24889, 607, 513, 3532, 3196, 5827, 540, 5935, 938, 2168, 23258, 267, 30740, 3621, 7760, 267, 543, 5807, 17170, 1514, 4296, 269, 11846, 267, 609, 741, 6422, 543, 15491, 2470, 267, 1796, 607, 27857, 585, 2123, 2208, 267, 6848, 22122, 267, 543, 519, 6024, 4720, 540, 938, 7104, 1480, 1995, 563, 6826, 3222, 540, 519, 15474, 1764, 540, 5026, 593, 1480, 2729, 563, 30787, 519, 6125, 267, 543, 7231, 609, 519, 6891, 563, 7883, 532, 593, 513, 5026, 32751, 542, 7959, 899, 2469, 593, 513, 3460, 540, 1582, 22523, 269, 634, 5283, 617, 1190, 11733, 540, 513, 16204, 5793, 779, 1193, 728, 267, 513, 2241, 4062, 540, 17281, 4196, 267, 610, 519, 22406, 7104, 4674, 540, 513, 11176, 1895, 1107, 1142, 6454, 568, 513, 23314, 540, 519, 17254, 4842, 1198, 602, 7328, 814, 593, 938, 10373, 1134, 5630, 269, 12815, 4887, 16150, 532, 13341, 543, 824, 8112, 267, 5026, 8062, 1439, 1110, 25527, 609, 9058, 267, 535, 597, 1067, 1259, 540, 1272, 563, 288, 2922, 2230, 585, 2790, 12972, 563, 288, 1906, 4025, 9944, 519, 17570, 543, 4187, 6013, 519, 1898, 9675, 585, 2790, 1967, 269, 634, 4015, 540, 1439, 6973, 1231, 6913, 676, 1210, 1483, 4674, 568, 2693, 547, 1831, 513, 8378, 3075, 267, 2324, 609, 8082, 267, 1232, 26305, 2604, 267, 543, 9750, 519, 14334, 540, 27945, 1145, 269, 769, 519, 2230, 540, 5026, 267, 519, 2634, 25395, 4313, 543, 519, 9997, 9060, 606, 3078, 7544, 540, 9547, 563, 290, 5971, 267, 1362, 540, 4527, 563, 1103, 23498, 11018, 4025, 267, 2043, 2490, 883, 22406, 1379, 269, 7767, 906, 616, 711, 21739, 827, 3838, 1967, 267, 538, 1022, 2013, 267, 513, 14605, 11231, 7544, 540, 4745, 4674, 267, 11913, 4123, 267, 543, 7589, 269, 1452, 11327, 2067, 7182, 3444, 519, 5858, 543, 2721, 593, 519, 1570, 540, 4357, 543, 4487, 3347, 563, 16914, 5596, 267, 21533, 267, 543, 5812, 2298, 563, 306, 7964, 8062, 2154, 811, 982, 513, 5458, 3970, 282, 789, 2154, 19858, 1353, 540, 519, 1641, 267, 8856, 267, 543, 22973, 16177, 269, 14847, 6002, 1831, 18544, 540, 3608, 942, 946, 267, 8383, 908, 16131, 543, 1367, 19647, 269, 769, 519, 28471, 323, 1258, 540, 18942, 2773, 267, 3425, 3132, 519, 10100, 547, 2263, 519, 2591, 540, 513, 1259, 540, 1272, 609, 519, 17545, 602, 18163, 7041, 543, 27265, 723, 4547, 547, 519, 1158, 563, 303, 7748, 619, 616, 2800, 539, 1369, 519, 32604, 540, 5026, 12406, 269, 20051, 9843, 543, 22072, 17691, 26483, 2263, 519, 20614, 540, 796, 23896, 762, 2490, 540, 2621, 267, 7479, 8172, 1866, 267, 543, 3695, 519, 1494, 540, 31195, 269, 2480, 1681, 786, 5555, 1831, 2834, 267, 543, 13485, 540, 2956, 786, 2490, 883, 513, 19820, 540, 6284, 602, 4992, 5393, 2484, 3564, 519, 4730, 2361, 563, 303, 23035, 936, 7874, 9753, 267, 543, 2870, 9541, 563, 288, 7328, 779, 10875, 19858, 2257, 602, 14380, 1657, 7874, 543, 1283, 7240, 2694, 269, 18738, 519, 2489, 16822, 30965, 831, 540, 519, 4161, 267, 519, 2197, 2535, 919, 538, 519, 9997, 540, 519, 1483, 3014, 543, 3838, 1379, 269, 634, 1893, 540, 5026, 8062, 568, 3044, 267, 3850, 585, 28930, 725, 602, 2039, 2066, 1514, 9753, 267, 6029, 875, 519, 2648, 540, 519, 3014, 666, 581, 513, 5458, 569, 3532, 3148, 585, 2949, 17282, 543, 30901, 563, 28308, 268, 549, 6838, 7681, 543, 9316, 563, 289, 4637, 593, 519, 2361, 540, 1404, 1332, 9048, 951, 4601, 2394, 519, 3803, 27646, 269, 16890, 1831, 2620, 268, 549, 6838, 4891, 543, 14763, 2490, 883, 15274, 269, 11545, 2833, 267, 9465, 267, 543, 15088, 538, 6043, 1831, 519, 16060, 540, 5935, 519, 5748, 585, 11972, 3347, 602, 3747, 4674, 563, 5319, 29058, 6105, 543, 31135, 1870, 563, 306, 1636, 568, 711, 3808, 547, 2367, 610, 2021, 282, 789, 666, 21592, 3003, 7874, 2621, 269, 3958, 267, 5026, 8062, 10776, 2763, 1514, 16450, 267, 4894, 2879, 4711, 267, 543, 6455, 13784, 267, 543, 3575, 9735, 1895, 902, 1369, 7874, 2144, 571, 2738, 563, 9743, 10614, 2962, 543, 1367, 1646, 563, 10870, 7774, 593, 5026, 8062, 4422, 3564, 519, 1858, 282, 621, 568, 513, 1153, 2230, 585, 4527, 269, 8479, 1004, 543, 14038, 616, 3695, 519, 4909, 7182, 540, 519, 1259, 540, 1272, 269, 634, 2591, 649, 3068, 538, 5026, 8062, 2992, 1483, 3734, 9465, 543, 1128, 650, 11972, 2418, 602, 1796, 519, 1449, 540, 942, 563, 306, 1636, 607, 513, 1514, 23090, 563, 306, 7964, 1711, 513, 2295, 2914, 8576, 11141, 960, 540, 1148, 267, 18995, 519, 2853, 267, 2418, 2073, 543, 5638, 540, 1514, 9753, 269, 3245, 3504, 5759, 547, 4207, 12644, 267, 5026, 8062, 1831, 513, 1753, 27792, 540, 519, 1514, 1268, 269, 12267, 540, 11802, 543, 14710, 267, 14512, 16873, 267, 543, 519, 22406, 19711, 540, 11655, 1106, 513, 1514, 9371, 602, 24889, 609, 1169, 2085, 543, 25186, 942, 543, 1747, 563, 306, 1636, 607, 606, 20949, 547, 1416, 563, 28874, 538, 5026, 8062, 568, 24009, 607, 513, 28471, 323, 1258, 585, 1367, 7269, 543, 1582, 22523, 269, 2552, 652, 1218, 3068, 7965, 267, 535, 328, 2444, 657, 267, 543, 17993, 267, 2502, 17545, 543, 741, 3206, 269, 634, 3460, 689, 519, 7750, 547, 519, 6896, 851, 7140, 883, 513, 26841, 540, 513, 811, 7415, 1272, 27356, 8124, 602, 2893, 584, 919, 519, 5870, 540, 4287, 543, 1931, 569, 1967, 602, 14380, 1657, 519, 7687, 540, 519, 5309, 614, 269, 769, 519, 2361, 540, 5026, 2773, 267, 2043, 786, 538, 1100, 942, 3605, 741, 2565, 7182, 267, 855, 693, 519, 1482, 942, 7866, 519, 3178, 540, 741, 812, 610, 4807, 563, 31319, 1670, 9866, 11970, 538, 22505, 563, 2026, 519, 2361, 12066, 956, 609, 1455, 4690, 267, 7328, 19674, 607, 513, 5123, 7175, 3339, 1620, 269, 17217, 762, 2853, 538, 5026, 8062, 267, 3039, 4610, 543, 11479, 3001, 519, 6093, 2219, 998, 5026, 8062, 1404, 513, 5458, 2990, 269, 14847, 6002, 607, 10388, 3197, 28761, 4434, 519, 8912, 4128, 543, 946, 741, 3490, 547, 5818, 5458, 2338, 267, 2864, 982, 513, 811, 6654, 1483, 543, 10357, 23655, 1259, 540, 1272, 269, 11846, 8062, 3976, 8451, 607, 513, 1641, 540, 1404, 543, 2864, 607, 513, 5123, 540, 9513, 2834, 5539, 543, 1390, 538, 4948, 1870, 563, 18719, 22777, 543, 11144, 538, 5026, 563, 763, 4999, 540, 5026, 5751, 543, 7760, 6770, 827, 519, 3356, 540, 9058, 1007, 7835, 269, 3245, 3665, 3056, 11460, 10850, 543, 6272, 547, 2594, 1606, 23293, 3014, 19145, 2409, 267, 519, 1974, 789, 723, 18534, 9464, 519, 5026, 2361, 269, 634, 7193, 29931, 730, 4641, 267, 5957, 1963, 267, 543, 9447, 1239, 2417, 1711, 18006, 12331, 267, 10178, 12477, 267, 543, 2489, 21951, 20106, 269, 901, 4999, 540, 7328, 543, 6454, 267, 799, 568, 711, 4010, 519, 1034, 5578, 995, 267, 1651, 2572, 519, 5858, 4464, 267, 855, 538, 1840, 267, 7208, 1571, 3294, 607, 513, 605, 17474, 540, 8103, 779, 3586, 1184, 585, 2956, 543, 1646, 563, 1103, 519, 8966, 23090, 540, 2081, 540, 1272, 267, 519, 5026, 1449, 19082, 899, 513, 1114, 1650, 269, 634, 1650, 19597, 919, 1367, 7269, 267, 1455, 19642, 267, 543, 519, 5140, 4123, 1063, 23658, 11857, 543, 6454, 269, 2060, 1142, 4062, 267, 5026, 8062, 4894, 519, 1350, 7112, 269, 3367, 811, 2507, 0, 10527, 32559, 2667, 817, 514, 892, 568, 513, 3209, 2854, 676, 20152, 2311, 6229, 267, 835, 540, 4516, 779, 1034, 9976, 4589, 269, 898, 729, 3370, 538, 476, 1220, 271, 543, 4607, 2565, 1035, 8010, 267, 10888, 519, 20380, 3883, 518, 15356, 602, 1482, 1032, 563, 13729, 538, 519, 4571, 268, 736, 628, 2540, 267, 968, 763, 32559, 2667, 817, 514, 892, 6645, 519, 23091, 2984, 540, 1079, 19946, 267, 594, 5142, 932, 848, 26186, 523, 543, 23718, 932, 848, 269, 594, 5142, 267, 606, 11361, 4807, 267, 9356, 593, 1200, 2250, 543, 8761, 519, 11580, 543, 1950, 3347, 1369, 1200, 1920, 269, 634, 3209, 16621, 2789, 2239, 6106, 267, 1519, 594, 5142, 779, 17728, 267, 32461, 689, 23718, 779, 2022, 21065, 3585, 3370, 3209, 267, 543, 11356, 804, 2089, 902, 563, 763, 1650, 7710, 4798, 540, 2648, 267, 2530, 267, 20729, 531, 267, 543, 519, 1379, 6384, 1063, 2367, 543, 2021, 269, 898, 849, 12538, 883, 1514, 543, 2797, 2152, 540, 519, 942, 267, 971, 607, 519, 4279, 12870, 267, 2622, 2782, 4083, 267, 543, 519, 15594, 3350, 269, 2311, 6229, 779, 5578, 995, 9423, 649, 2314, 1927, 891, 1114, 2609, 267, 2870, 513, 3818, 2000, 599, 1229, 543, 2219, 4538, 2239, 563, 763, 3209, 779, 2140, 267, 968, 763, 32559, 2667, 817, 514, 2223, 4016, 547, 519, 1650, 1369, 519, 1650, 269, 23718, 932, 848, 267, 594, 5142, 779, 11078, 267, 568, 1767, 547, 723, 2854, 513, 3209, 1572, 968, 763, 32559, 2667, 817, 514, 892, 1354, 1200, 2669, 269, 901, 3209, 1369, 519, 3209, 6645, 513, 2257, 5708, 1650, 1305, 538, 513, 29711, 1014, 2104, 267, 10023, 513, 2648, 26035, 1063, 606, 5580, 11665, 4807, 543, 513, 2324, 11665, 812, 269, 1452, 6810, 540, 519, 1433, 1683, 513, 4334, 547, 519, 1292, 2239, 543, 2709, 16555, 593, 519, 4798, 8268, 538, 594, 5142, 779, 1650, 563, 10527, 32559, 2667, 817, 514, 892, 568, 1634, 585, 922, 3638, 18340, 267, 6946, 4729, 2497, 267, 543, 8903, 3197, 269, 2311, 6229, 779, 3408, 540, 3965, 267, 5168, 267, 543, 519, 10848, 540, 1480, 3347, 814, 1500, 519, 3209, 513, 5172, 1851, 3988, 543, 13915, 7567, 269, 0, 22137, 593, 3979, 4914, 4507, 267, 543, 519, 1184, 3238, 609, 741, 5250, 267, 723, 4607, 1454, 1447, 3007, 3379, 547, 824, 3344, 540, 3979, 2090, 269, 4107, 723, 1044, 538, 3829, 2013, 2090, 20515, 875, 4914, 3609, 3664, 616, 10704, 593, 1455, 4145, 585, 519, 3148, 267, 971, 607, 28160, 1436, 267, 4182, 2679, 267, 2804, 543, 2797, 13190, 267, 543, 12019, 2782, 6735, 269, 1306, 971, 267, 1034, 23372, 568, 5342, 609, 2673, 12543, 267, 5449, 7810, 7060, 267, 610, 519, 2706, 7060, 269, 13518, 568, 849, 5342, 1369, 954, 32744, 3906, 630, 5456, 11675, 1040, 29568, 609, 1617, 10561, 5238, 9789, 2622, 7813, 543, 22558, 293, 1765, 10193, 4183, 30326, 269, 4107, 9382, 5815, 602, 4914, 3609, 814, 1044, 538, 519, 3946, 540, 513, 7022, 267, 945, 814, 5342, 621, 5097, 607, 513, 1797, 540, 19597, 908, 610, 4509, 6469, 4341, 269, 3979, 4914, 4507, 849, 4043, 547, 2992, 519, 4641, 602, 1034, 616, 1507, 543, 4617, 2829, 269, 589, 18843, 540, 12170, 13354, 4914, 3609, 3332, 593, 4000, 1281, 2291, 267, 6313, 1919, 971, 607, 6167, 13359, 610, 1377, 540, 20320, 2534, 269, 7053, 267, 1454, 3332, 593, 3979, 4914, 4507, 568, 11251, 538, 3979, 3486, 1894, 543, 6212, 593, 519, 5079, 540, 3401, 1369, 3677, 8978, 267, 1570, 267, 20748, 267, 543, 3486, 8658, 269, 4107, 5640, 267, 855, 711, 782, 267, 1965, 3832, 342, 606, 2079, 1210, 513, 2582, 17565, 281, 3235, 937, 545, 267, 3140, 4485, 3100, 547, 581, 811, 1455, 982, 2901, 3444, 5991, 1049, 12170, 2090, 610, 9132, 25634, 1227, 29814, 4485, 269, 2060, 713, 538, 2247, 267, 3979, 4914, 4507, 1590, 4431, 547, 267, 543, 11457, 609, 267, 4657, 3486, 543, 6237, 8658, 267, 2523, 1022, 609, 1713, 10593, 538, 23786, 1379, 563, 28893, 14579, 24727, 454, 11990, 6276, 2372, 4883, 454, 288, 3778, 540, 4139, 9442, 5525, 454, 14976, 9626, 595, 269, 17713, 517, 454, 763, 7214, 791, 28127, 585, 3486, 2792, 1382, 814, 2097, 689, 513, 3099, 540, 10459, 267, 16113, 2797, 2257, 267, 15257, 267, 6530, 267, 1514, 6530, 267, 23316, 267, 19795, 267, 543, 267, 540, 1576, 267, 2792, 2257, 543, 3486, 1894, 269, 4014, 3810, 3309, 538, 1543, 267, 3486, 2792, 14172, 267, 2250, 543, 1699, 267, 8813, 883, 3982, 1382, 5389, 610, 2127, 540, 14374, 269, 634, 1543, 543, 1445, 540, 891, 723, 4957, 936, 942, 538, 3210, 547, 10124, 538, 2792, 4066, 543, 547, 519, 2797, 1604, 269, 634, 1646, 543, 3262, 540, 5925, 543, 4670, 538, 519, 476, 4572, 271, 338, 543, 476, 4350, 271, 338, 2799, 1857, 4656, 543, 14046, 1719, 538, 519, 7613, 540, 519, 2527, 2923 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3662, 10304, 267, 621, 568, 6444, 607, 513, 4704, 13539, 676, 519, 2622, 11780, 9257, 543, 538, 476, 1001, 279, 1185, 513, 2698, 540, 476, 9264, 4759, 2829, 269, 4706, 21777, 4759, 1533, 568, 12142, 12359, 807, 282, 519, 744, 23966, 15387, 8628, 1894, 609, 476, 3393, 824, 3486, 543, 6237, 14540, 543, 814, 13636, 543, 1016, 15696, 1308, 5510, 1182, 593, 1169, 11782, 269, 634, 744, 23966, 1281, 711, 4096, 593, 519, 6167, 1062, 269, 4595, 922, 1101, 4937, 29140, 4371, 538, 8303, 267, 519, 8433, 11438, 856, 922, 960, 896, 519, 6392, 540, 513, 9730, 9967, 540, 30896, 540, 519, 24931, 22749, 282, 519, 991, 547, 4339, 3662, 3676, 693, 513, 2518, 1377, 3366, 547, 519, 5137, 540, 519, 8433, 4139, 964, 9210, 714, 2393, 625, 998, 519, 3486, 15716, 9896, 593, 5130, 476, 1839, 267, 476, 4572, 275, 563, 1103, 2904, 476, 1220, 274, 519, 8433, 2968, 519, 2622, 25944, 585, 10960, 2657, 855, 6854, 922, 3140, 27099, 744, 23966, 269, 769, 5412, 476, 1001, 277, 267, 476, 25396, 30896, 547, 519, 476, 275, 628, 6820, 10985, 593, 10960, 28054, 9516, 513, 2039, 540, 3800, 6322, 547, 2087, 3662, 10304, 269, 1323, 744, 23966, 4640, 3561, 799, 6565, 4364, 689, 713, 10554, 729, 547, 581, 4843, 585, 10073, 693, 519, 744, 23966, 2622, 13909, 538, 2904, 476, 1001, 278, 269, 769, 5130, 476, 1001, 278, 267, 519, 856, 4707, 15525, 7245, 11280, 519, 744, 23966, 607, 606, 3919, 13886, 547, 2640, 540, 519, 4139, 20871, 16332, 885, 2920, 282, 519, 744, 23966, 781, 22071, 616, 4092, 538, 519, 476, 1704, 628, 2855, 1180, 23579, 618, 269, 898, 729, 538, 476, 4350, 280, 602, 519, 744, 23966, 6410, 547, 519, 18211, 7095, 8664, 540, 623, 2117, 3933, 576, 879, 267, 1310, 2348, 13026, 22402, 2094, 476, 4572, 278, 2282, 519, 932, 10102, 632, 9370, 543, 519, 661, 858, 601, 18975, 267, 3177, 676, 519, 3943, 14451, 5398, 2657, 7027, 269, 769, 2904, 476, 4350, 279, 267, 519, 744, 23966, 16840, 5795, 3220, 2506, 28609, 2274, 743, 664, 3832, 543, 1101, 4937, 10615, 540, 519, 744, 23966, 267, 2407, 7060, 547, 4444, 513, 4884, 5264, 538, 8303, 267, 1210, 519, 15395, 2508, 269, 3220, 700, 1815, 548, 514, 3832, 8359, 519, 544, 6416, 689, 2185, 3601, 5697, 676, 513, 8189, 16030, 519, 5518, 540, 519, 744, 23966, 267, 670, 563, 290, 269, 700, 269, 661, 269, 19161, 518, 267, 519, 21470, 6261, 637, 1211, 267, 30408, 645, 529, 21468, 267, 519, 2272, 656, 267, 20944, 12340, 321, 4469, 6686, 1188, 9528, 269, 2201, 476, 2420, 5988, 476, 4350, 280, 267, 519, 744, 23966, 267, 6719, 676, 661, 269, 2274, 743, 664, 3832, 11751, 519, 544, 6416, 689, 519, 3057, 638, 1047, 632, 22757, 321, 10314, 267, 693, 513, 1942, 540, 476, 10384, 267, 1822, 21473, 14369, 282, 519, 476, 1724, 628, 4937, 29140, 540, 519, 744, 23966, 729, 4371, 689, 2904, 476, 1789, 547, 4873, 476, 276, 267, 476, 4350, 280, 693, 476, 1321, 678, 826, 632, 25460, 344, 1310, 31811, 960, 1185, 1044, 6192, 269, 9603, 547, 519, 5822, 2622, 2782, 267, 519, 1739, 4937, 29140, 1705, 711, 1491, 1747, 2394, 476, 3707, 277, 267, 689, 476, 273, 547, 476, 276, 5239, 269, 11374, 741, 7127, 883, 8303, 538, 4873, 476, 3707, 271, 267, 519, 4436, 30939, 4229, 17303, 6806, 543, 20177, 519, 744, 23966, 22071, 282, 519, 3646, 540, 519, 5518, 267, 20944, 12340, 321, 4469, 6686, 1188, 9528, 267, 11221, 538, 476, 4350, 280, 267, 8507, 538, 922, 556, 19945, 2287, 269, 476, 1321, 678, 826, 632, 25460, 344, 729, 3710, 538, 476, 6942, 280, 267, 538, 519, 32286, 7304, 10718, 2511, 267, 676, 519, 9976, 4056, 14639, 6441, 537, 529, 623, 26696, 585, 519, 22341, 31578, 267, 13744, 553, 918, 7238, 333, 580, 1873, 831, 267, 513, 5449, 4871, 518, 543, 16749, 8227, 269, 589, 19588, 540, 2101, 1568, 547, 22058, 622, 543, 2413, 1047, 519, 22071, 941, 17298, 676, 519, 6034, 832, 4937, 11221, 1310, 661, 563, 8867, 743, 664, 3832, 281, 22050, 517, 10548, 517, 267, 11412, 2946, 23554, 1729, 345, 267, 8402, 2349, 1690, 534, 267, 14639, 2349, 4545, 537, 543, 24527, 966, 718, 520, 269, 9603, 547, 519, 2212, 14075, 1646, 540, 519, 13539, 267, 3606, 22402, 723, 1044, 10519, 539, 693, 476, 1691, 678, 826, 632, 25460, 344, 2094, 476, 1220, 275, 269, 2201, 476, 1626, 4728, 476, 1220, 280, 267, 519, 744, 23966, 12349, 513, 1804, 851, 540, 519, 2679, 693, 476, 1691, 678, 826, 632, 25460, 344, 267, 7755, 334, 1456, 922, 22071, 269, 5384, 569, 23425, 540, 1344, 568, 2629, 547, 5627, 17061, 282, 519, 26146, 295, 2839, 28497, 2488, 1569, 547, 782, 1239, 4371, 1369, 744, 23966, 781, 1007, 2622, 10960, 2657, 6176, 3590, 269, 898, 30283, 543, 11498, 519, 5449, 1357, 8818, 3957, 7435, 626, 9850, 4083, 3590, 269, 589, 3102, 2039, 540, 1344, 568, 2139, 689, 281, 8056, 18957, 711, 5874, 543, 1246, 5346, 5359, 11643, 676, 16588, 18831, 538, 3210, 547, 11108, 2068, 2621, 9648, 538, 891, 2477, 607, 1134, 607, 1246, 5346, 5359, 827, 891, 2621, 267, 14520, 18881, 569, 5359, 10503, 519, 744, 23966, 2000, 13554, 2068, 3871, 538, 1142, 2197, 267, 16316, 5359, 3246, 2417, 4282, 1344, 593, 3662, 1072, 267, 593, 8047, 543, 6669, 2504, 6703, 563, 288, 638, 1738, 10960, 2657, 8943, 6833, 14111, 10960, 2657, 8943, 744, 23966, 4013, 3896, 744, 23966, 17030, 15048, 2622, 10960, 2657, 6176, 3590, 28497, 454, 2419, 534, 932, 528, 3687, 26280, 568, 513, 14418, 20757, 10689, 4092, 538, 7195, 652, 1512, 267, 14135, 269, 898, 568, 9674, 883, 835, 693, 476, 273, 808, 23750, 918, 655, 16120, 543, 1776, 693, 476, 274, 5178, 572, 514, 10003, 269, 29740, 676, 519, 22616, 2158, 324, 24960, 626, 26960, 932, 528, 3687, 538, 476, 4572, 277, 543, 476, 4350, 277, 519, 10689, 18799, 27540, 4457, 4600, 609, 1100, 1920, 610, 1797, 540, 1489, 538, 14135, 269, 3245, 1373, 513, 1747, 540, 25778, 3101, 547, 1631, 1373, 513, 1747, 540, 10847, 267, 26960, 932, 528, 3687, 26280, 568, 1713, 607, 513, 6041, 540, 519, 20757, 10689, 2528, 607, 1134, 607, 519, 27540, 8129, 540, 14135, 269, 26960, 932, 528, 3687, 26280, 729, 513, 20757, 10689, 1634, 607, 513, 1990, 3873, 527, 836, 269, 17164, 4115, 31508, 2259, 513, 14418, 4984, 267, 1634, 607, 519, 4279, 10158, 282, 713, 4984, 729, 513, 12563, 2482, 2006, 4984, 267, 2808, 547, 581, 10636, 13454, 543, 729, 26793, 676, 3624, 269, 4935, 267, 519, 16809, 3262, 547, 2477, 538, 3162, 5101, 5607, 547, 2057, 20655, 269, 769, 891, 31508, 267, 26902, 26802, 1131, 1152, 8532, 513, 20757, 2732, 607, 513, 1106, 540, 22729, 543, 2259, 14418, 12738, 269, 1717, 267, 891, 26902, 26802, 941, 711, 26112, 543, 941, 2864, 2482, 5443, 267, 609, 835, 1292, 4487, 540, 519, 2777, 9117, 607, 519, 3119, 1416, 339, 6033, 563, 306, 532, 12940, 5185, 606, 27614, 540, 11082, 538, 519, 2038, 476, 736, 628, 2540, 1310, 2622, 2782, 476, 272, 269, 1452, 11082, 941, 519, 1292, 2551, 540, 14135, 781, 13781, 543, 15538, 540, 711, 1175, 2367, 855, 2021, 282, 891, 2021, 2451, 741, 5321, 538, 1931, 547, 1265, 960, 269, 1133, 325, 9116, 1229, 676, 519, 911, 25940, 540, 2757, 7365, 267, 789, 941, 1863, 547, 2744, 741, 7115, 998, 4466, 960, 543, 4742, 1582, 1606, 20980, 267, 789, 1034, 3576, 6667, 689, 519, 476, 866, 628, 10601, 7115, 3350, 538, 519, 13102, 540, 2871, 836, 345, 17924, 267, 1141, 519, 30652, 329, 773, 543, 521, 4461, 14241, 2021, 538, 14135, 12090, 689, 269, 4935, 519, 5354, 540, 873, 941, 547, 3717, 519, 22616, 2158, 324, 13172, 269, 1325, 821, 267, 789, 5030, 538, 891, 20757, 31508, 607, 513, 2146, 282, 519, 20757, 31508, 6035, 513, 1747, 547, 3251, 585, 891, 20404, 609, 1100, 5321, 610, 3347, 609, 10252, 267, 3177, 602, 789, 1131, 6460, 267, 2259, 519, 20757, 2732, 543, 519, 14418, 12738, 269, 1358, 1185, 547, 2611, 2582, 543, 17712, 664, 689, 3023, 267, 621, 729, 711, 1863, 540, 5279, 267, 607, 789, 1869, 1185, 547, 798, 26050, 547, 3251, 269, 1452, 4025, 3964, 513, 2146, 10838, 891, 11082, 267, 22112, 676, 741, 522, 23411, 547, 1416, 540, 1142, 824, 563, 1607, 729, 1271, 2094, 1034, 1131, 2760, 2132, 547, 741, 554, 32528, 1586, 1813, 547, 2883, 3790, 269, 1306, 851, 540, 513, 2146, 267, 789, 941, 21407, 602, 998, 2025, 2085, 543, 538, 2669, 789, 941, 711, 4805, 543, 602, 519, 2556, 24133, 32537, 1131, 581, 5340, 585, 873, 269, 2311, 519, 1482, 942, 267, 7195, 652, 1512, 729, 7444, 9687, 547, 581, 513, 3413, 23308, 10821, 8378, 282, 713, 14376, 1082, 14547, 24960, 1235, 547, 16245, 3909, 5238, 269, 901, 8507, 538, 519, 5137, 540, 1082, 4457, 3909, 5238, 899, 519, 774, 784, 1855, 1188, 590, 1014, 26280, 700, 1014, 16429, 590, 807, 14418, 6874, 7776, 626, 11454, 543, 519, 3171, 328, 670, 338, 807, 17578, 532, 2701, 14418, 11454, 538, 7195, 652, 1512, 269, 769, 476, 4572, 277, 267, 26960, 932, 528, 3687, 26280, 729, 8547, 676, 9457, 26960, 932, 528, 3687, 282, 519, 1101, 11454, 729, 513, 835, 3613, 800, 1768, 15869, 2777, 3710, 693, 476, 273, 808, 23750, 918, 655, 16120, 24428, 27540, 2367, 269, 589, 8717, 538, 476, 4350, 277, 267, 519, 2034, 11454, 729, 3710, 607, 513, 1079, 3613, 648, 344, 1768, 15869, 2777, 693, 476, 274, 5178, 572, 514, 10003, 282, 713, 11454, 24428, 519, 27540, 2021, 3079, 269, 769, 519, 476, 3707, 271, 338, 1175, 1354, 2622, 2782, 4083, 267, 519, 2025, 4487, 26960, 5293, 2476, 267, 519, 1699, 4487, 3576, 936, 1010, 11645, 563, 7628, 519, 476, 3422, 271, 338, 1700, 3192, 271, 338, 267, 519, 2063, 7264, 538, 1312, 31508, 723, 782, 5293, 2476, 543, 26960, 932, 528, 3687, 26280, 30403, 1373, 513, 1747, 585, 25778, 3101, 269, 4653, 267, 1312, 31508, 616, 9738, 676, 513, 3972, 607, 3909, 31508, 267, 1152, 10741, 922, 9885, 547, 8436, 1282, 4457, 1715, 5729, 282, 519, 808, 23750, 918, 655, 16120, 3135, 568, 1152, 1930, 593, 519, 476, 274, 6113, 1554, 540, 519, 4457, 1715, 5729, 267, 1247, 519, 5178, 572, 514, 681, 323, 3135, 568, 1930, 585, 519, 1101, 476, 274, 2395, 269, 634, 8436, 616, 519, 11361, 945, 723, 1044, 4947, 585, 5756, 267, 607, 1134, 607, 741, 3885, 269, 3509, 540, 519, 4079, 972, 616, 11173, 519, 2245, 267, 789, 941, 4547, 547, 519, 11454, 676, 741, 3237, 267, 616, 1631, 8744, 1453, 540, 741, 1378, 972, 607, 1134, 269, 1306, 26960, 932, 528, 3687, 26280, 568, 513, 22616, 2158, 324, 11700, 1511, 267, 1034, 540, 519, 8436, 598, 2091, 538, 22616, 2158, 324, 607, 1134, 269, 2311, 808, 23750, 918, 17507, 534, 267, 8436, 1131, 1101, 4283, 519, 7623, 543, 1118, 741, 1259, 2250, 519, 4677, 543, 883, 519, 2427, 540, 519, 2777, 267, 789, 2709, 741, 19001, 547, 2871, 1415, 514, 519, 31001, 540, 8585, 1097, 267, 998, 17008, 543, 795, 1601, 16853, 585, 741, 16858, 971, 607, 5763, 543, 1434, 2090, 538, 519, 4947, 1032, 563, 5475, 267, 789, 8399, 547, 519, 1394, 1141, 789, 2628, 741, 24947, 547, 519, 21549, 2250, 4487, 540, 519, 2777, 269, 11374, 267, 8436, 31770, 896, 519, 5356, 3349, 538, 513, 2245, 2189, 547, 519, 11454, 269, 8061, 1774, 525, 3494, 538, 602, 17875, 1782, 896, 519, 3349, 1131, 3142, 873, 1434, 19539, 538, 519, 4947, 1032, 267, 5000, 8436, 547, 10956, 713, 1614, 2053, 585, 3063, 9939, 269, 2991, 799, 267, 789, 8399, 1394, 547, 519, 1292, 26749, 1141, 789, 7281, 543, 4235, 13411, 1216, 538, 4395, 540, 519, 1699, 4487, 540, 519, 2777, 269, 6250, 6002, 616, 5701, 547, 20757, 1426, 11273, 676, 519, 11454, 13538, 269, 6250, 6002, 786, 581, 27206, 1472, 513, 3349, 609, 824, 21046, 543, 581, 6039, 24204, 2701, 978, 267, 20757, 13520, 554, 3019, 543, 30653, 269, 2311, 5178, 572, 514, 10003, 267, 1034, 8436, 12446, 593, 519, 1101, 1554, 267, 519, 1297, 546, 13388, 956, 676, 519, 3791, 1554, 538, 799, 621, 3587, 9602, 269, 3807, 899, 693, 808, 23750, 918, 17507, 534, 267, 835, 17188, 741, 2463, 547, 519, 2025, 18544, 540, 519, 2777, 269, 26960, 932, 528, 3687, 26280, 568, 7307, 676, 513, 3972, 267, 799, 1131, 6430, 519, 2104, 540, 1312, 5656, 267, 621, 568, 13883, 538, 513, 6305, 4087, 540, 7195, 652, 1512, 563 ]

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

[ 901, 8142, 568, 5497, 547, 581, 24482, 968, 31673, 1639, 892, 538, 1931, 547, 1118, 621, 513, 6325, 4704, 585, 1346, 945, 1131, 899, 547, 1174, 713, 10035, 543, 519, 8799, 17787, 602, 616, 11540, 607, 3435, 540, 930, 13410, 269, 1924, 267, 594, 1131, 899, 602, 824, 3755, 1131, 1118, 635, 757, 543, 24616, 267, 6031, 1018, 568, 21354, 2854, 610, 6045, 267, 1818, 10931, 5465, 267, 538, 1931, 547, 2490, 713, 2022, 513, 1434, 2022, 269, 1280, 513, 1434, 7778, 540, 519, 2474, 1031, 538, 16550, 5832, 16166, 267, 5225, 5077, 713, 2022, 780, 8512, 476, 272, 269, 11822, 715, 823, 10753, 3591, 543, 6828, 539, 715, 823, 10753, 3591, 692, 763, 10035, 1031, 538, 8799, 17787, 568, 711, 1360, 2182, 547, 1174, 269, 1280, 513, 1434, 8142, 827, 8799, 17787, 267, 875, 789, 666, 581, 4857, 543, 1031, 267, 5225, 5077, 713, 3095, 269, 2913, 779, 2253, 609, 513, 2241, 1383, 269, 6333, 10658, 14794, 476, 272, 1384, 24927, 281, 8564, 782, 454, 319, 1109, 1109, 6872, 280, 1109, 476, 1109, 276, 4281, 280, 1109, 476, 1321, 1109, 476, 1109, 347, 476, 274, 1109, 30336, 1109, 275, 1109, 30336, 1109, 1321, 1109, 1923, 476, 6812, 280, 1109, 476, 1109, 6795, 1109, 5231, 476, 277, 1109, 7545, 476, 1109, 3393, 280, 1109, 476, 1109, 277, 1109, 30336, 1109, 27149, 1109, 1923, 476, 278, 1109, 30336, 1109, 279, 1109, 30336, 1109, 3066, 1109, 1923, 476, 272, 1109, 30336, 1109, 24833, 280, 1109, 476, 24833, 280, 1109, 476, 1109, 4097, 280, 1109, 476, 1109, 8660, 1109, 5231, 476, 16328, 280, 1923, 476, 866, 1109, 5231, 476, 277, 1109, 30336, 1109, 276, 1109, 476, 1109, 347, 476, 4366, 280, 1109, 476, 1109, 278, 1109, 30336, 1109, 273, 1109, 7545, 476, 2411, 734, 266, 2411, 268, 266, 2411, 19203, 476, 1109, 8064, 1109, 5231, 476, 275, 1109, 30336, 1109, 279, 1109, 5231, 1923, 476, 276, 1109, 30336, 1109, 273, 1109, 30336, 1109, 8064, 1109, 1923, 476, 274, 1109, 30336, 1109, 277, 1109, 30336, 1109, 272, 1109, 7545, 476, 1109, 277, 1109, 30336, 1109, 272, 1109, 30336, 1109, 276, 1109, 5231, 1923, 476, 8660, 1109, 5231, 476, 274, 1109, 30336, 1109, 4366, 280, 1923, 476, 278, 1109, 30336, 1109, 273, 1109, 30336, 1109, 5392, 1109, 30336, 1109, 273, 1109, 30336, 1109, 274, 1109, 30336, 1109, 8064, 1109, 476, 1109, 347, 476, 277, 1109, 30336, 1109, 272, 1109, 30336, 1109, 5325, 280, 1923, 476, 3393, 280, 1109, 476, 1109, 279, 1109, 30336, 1109, 3393, 280, 1109, 5231, 476, 2411, 734, 266, 2411, 268, 266, 2411, 19203, 476, 1109, 272, 1109, 30336, 1109, 273, 1109, 30336, 1109, 4375, 1109, 476, 1109, 347, 476, 275, 1109, 30336, 1109, 278, 1109, 30336, 1109, 4343, 1109, 1923, 476, 277, 1109, 30336, 1109, 3374, 280, 1109, 476, 1109, 3374, 279, 280, 1109, 476, 1109, 24833, 278, 1109, 476, 6872, 1109, 5231, 476, 277, 1109, 5231, 1923, 476, 12553, 1109, 476, 1109, 280, 1109, 30336, 1109, 15946, 1923, 476, 2190, 1109, 5231, 476, 16328, 1109, 476, 1109, 31003, 279, 1109, 476, 1109, 279, 1109, 30336, 1109, 8064, 1109, 5231, 476, 31003, 280, 1923, 476, 1321, 1109, 5231, 476, 276, 1109, 30336, 1109, 277, 1109, 476, 1109, 347, 476, 27149, 1109, 476, 1109, 16328, 280, 1109, 476, 31003, 280, 1109, 29894, 7545, 10658, 14794, 476, 272, 267, 25373, 476, 272, 2387, 692, 16449, 824, 2009, 8799, 17787, 267, 649, 1223, 2328, 519, 1739, 835, 1384, 296, 269, 1496, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 24557, 273, 17342, 337, 279, 322, 275, 316, 268, 273, 268, 314, 337, 279, 322, 278, 316, 268, 275, 268, 314, 337, 280, 322, 279, 3910, 18092, 678, 280, 322, 279, 283, 285, 275, 780, 263, 312, 3641, 7436, 519, 17515, 11134, 2020, 3086, 267, 1577, 779, 2119, 547, 1174, 519, 1623, 321, 1108, 1031, 1934, 1384, 2108, 314, 337, 279, 322, 278, 316, 27535, 519, 1591, 4092, 693, 519, 10167, 540, 4737, 476, 279, 543, 6241, 476, 278, 630, 4900, 616, 22921, 476, 272, 268, 280, 689, 1283, 547, 5377, 540, 519, 7470, 267, 543, 519, 9587, 616, 22921, 476, 272, 268, 280, 689, 2451, 547, 1318, 6393, 2108, 27784, 27535, 713, 3090, 1797, 968, 574, 18680, 892, 610, 968, 5228, 799, 649, 666, 9959, 602, 2507, 892, 780, 2108, 337, 280, 322, 279, 283, 285, 275, 27535, 713, 1797, 602, 678, 280, 322, 279, 3112, 581, 968, 275, 892, 780, 2108, 314, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 316, 27535, 713, 568, 513, 3095, 540, 2178, 23221, 609, 6003, 968, 272, 6100, 6270, 513, 3095, 609, 6003, 968, 343, 892, 2306, 513, 4276, 1063, 1079, 2281, 602, 267, 538, 741, 1770, 630, 992, 267, 6241, 267, 610, 4216, 1070, 616, 519, 1152, 1079, 2009, 2281, 1141, 11134, 968, 343, 892, 666, 581, 4092, 269, 769, 519, 1383, 2016, 267, 538, 4737, 476, 280, 519, 1152, 1079, 2009, 4025, 585, 968, 272, 892, 616, 678, 280, 322, 279, 543, 678, 280, 322, 275, 267, 543, 865, 649, 666, 4020, 513, 2178, 3095, 1063, 873, 267, 1496, 337, 280, 322, 279, 24557, 272, 17342, 337, 280, 322, 275, 3910, 609, 519, 1739, 2495, 281, 952, 968, 272, 892, 568, 711, 538, 678, 280, 322, 279, 1287, 621, 1590, 581, 538, 678, 280, 322, 275, 267, 543, 13030, 268, 951, 320, 780, 2108, 314, 337, 279, 322, 278, 316, 268, 275, 268, 314, 337, 280, 322, 279, 316, 27535, 713, 568, 513, 3095, 540, 4617, 23221, 609, 6003, 968, 275, 6100, 6270, 513, 3095, 609, 6003, 968, 343, 892, 13462, 1079, 2281, 602, 267, 538, 741, 1770, 267, 616, 711, 8209, 519, 1152, 1079, 2009, 4025, 585, 11134, 968, 343, 5608, 602, 568, 267, 621, 666, 1921, 1079, 2281, 602, 616, 519, 1152, 1079, 2009, 4025, 585, 834, 343, 257, 538, 519, 1770, 855, 267, 811, 4749, 267, 621, 13462, 2281, 602, 616, 711, 31669, 2281, 269, 634, 2495, 540, 519, 3095, 538, 713, 1880, 1383, 568, 281, 952, 678, 279, 322, 278, 568, 968, 275, 892, 1287, 678, 280, 322, 279, 568, 711, 968, 275, 6100, 769, 2489, 267, 609, 2241, 8799, 17787, 971, 607, 713, 835, 4617, 6402, 616, 9112, 547, 270, 5228, 536, 2526, 826, 2281, 630, 3250, 338, 602, 723, 1152, 1079, 2009, 10457, 1070, 855, 538, 4359, 8799, 17787, 713, 1281, 711, 991, 547, 581, 519, 2013, 780, 9827, 538, 10658, 14794, 476, 272, 649, 666, 2328, 519, 1739, 8520, 1384, 2862, 269, 1496, 337, 279, 322, 278, 24557, 273, 17342, 337, 280, 322, 278, 316, 268, 273, 268, 314, 337, 280, 322, 275, 316, 268, 272, 268, 314, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 316, 268, 275, 268, 314, 337, 279, 322, 278, 3910, 18092, 678, 279, 322, 278, 283, 285, 275, 780, 263, 763, 6960, 851, 568, 519, 9338, 306, 2020, 2108, 314, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 316, 27535, 713, 1826, 540, 3095, 814, 519, 1739, 2495, 1107, 952, 968, 272, 892, 568, 711, 538, 678, 274, 322, 275, 1287, 968, 275, 892, 1590, 581, 538, 678, 274, 322, 278, 267, 543, 952, 968, 275, 892, 568, 711, 538, 678, 274, 322, 278, 1287, 968, 272, 892, 1590, 581, 538, 678, 274, 322, 275, 269, 901, 3095, 6818, 21246, 3315, 538, 1079, 5686, 540, 3270, 269, 634, 1101, 835, 568, 606, 20290, 700, 18088, 5590, 630, 28940, 281, 513, 1305, 540, 562, 2281, 20651, 676, 562, 266, 272, 10457, 264, 538, 799, 1079, 540, 1010, 10457, 616, 538, 1152, 835, 1591, 630, 26421, 264, 540, 519, 9338, 306, 269, 769, 519, 1459, 1383, 267, 649, 723, 606, 3592, 19526, 1305, 538, 2281, 678, 274, 322, 273, 29265, 274, 322, 275, 29265, 274, 322, 278, 799, 616, 20651, 676, 10457, 968, 272, 267, 275, 267, 279, 267, 280, 27535, 1631, 267, 952, 519, 5467, 5654, 5402, 267, 519, 968, 272, 892, 568, 4092, 630, 600, 784, 519, 2281, 540, 519, 9338, 306, 264, 1152, 538, 678, 274, 322, 275, 267, 543, 519, 968, 275, 892, 568, 4092, 1152, 538, 678, 274, 322, 278, 267, 543, 865, 952, 968, 272, 892, 568, 711, 538, 678, 274, 322, 275, 1287, 968, 275, 892, 1590, 581, 538, 678, 274, 322, 278, 630, 528, 649, 1131, 723, 1152, 1079, 10457, 547, 1402, 3634, 519, 1614, 2281, 678, 274, 322, 273, 29265, 274, 322, 275, 29265, 274, 322, 278, 264, 543, 13030, 268, 951, 320, 1107, 713, 7954, 568, 6719, 676, 1496, 337, 274, 322, 275, 24557, 272, 347, 275, 17342, 337, 274, 322, 278, 4940, 634, 2034, 4806, 568, 606, 20290, 23433, 25351, 4120, 630, 288, 7838, 281, 3277, 1934, 585, 519, 4214, 267, 606, 7778, 540, 519, 1826, 540, 3095, 267, 543, 930, 4143, 1806, 1040, 6333, 519, 1739, 11015, 1384, 24927, 281, 8564, 782, 454, 319, 1109, 1109, 16348, 1109, 5231, 476, 14444, 1109, 5231, 476, 275, 1109, 30336, 1109, 347, 476, 279, 1109, 7545, 476, 274, 1109, 7545, 476, 278, 1109, 476, 1109, 347, 476, 280, 1109, 7545, 476, 1321, 1109, 30336, 1109, 10219, 1109, 30336, 1109, 278, 1109, 7545, 476, 13670, 1109, 5231, 476, 11277, 276, 1109, 1923, 476, 13970, 1109, 5231, 476, 280, 1109, 7545, 476, 25090, 1923, 476, 13670, 1109, 5231, 476, 277, 1109, 7545, 476, 279, 1109, 7545, 476, 1109, 279, 1109, 7545, 476, 13670, 280, 1109, 476, 1109, 11277, 6795, 1923, 476, 1428, 1109, 30336, 1109, 277, 1109, 7545, 476, 1839, 1109, 1923, 476, 278, 1109, 7545, 476, 11277, 275, 1109, 476, 1109, 14862, 276, 1109, 5231, 476, 2411, 955, 268, 266, 2411, 19203, 266, 2411, 955, 476, 1109, 280, 1109, 7545, 476, 5325, 1109, 30336, 1109, 20720, 1109, 476, 1109, 347, 476, 277, 1109, 7545, 476, 16825, 1109, 5231, 476, 3393, 279, 1923, 476, 15946, 1109, 5231, 476, 11277, 4281, 1109, 476, 14096, 1109, 30336, 1109, 272, 1109, 7545, 476, 279, 1109, 7545, 476, 277, 1109, 30336, 1109, 347, 476, 273, 1109, 7545, 476, 278, 1109, 7545, 476, 274, 1109, 476, 1109, 347, 476, 275, 1109, 7545, 476, 276, 1109, 7545, 476, 280, 1109, 7545, 476, 1109, 20720, 1109, 5231, 476, 5325, 1109, 30336, 1109, 20720, 1109, 476, 1109, 347, 476, 3393, 1109, 30336, 1109, 16825, 1109, 5231, 476, 280, 1109, 476, 1109, 347, 476, 15946, 1109, 5231, 476, 11277, 4281, 1109, 476, 277, 1109, 7545, 476, 2411, 955, 268, 266, 2411, 19203, 266, 2411, 955, 476, 1109, 3374, 1109, 30336, 1109, 13670, 280, 1109, 476, 1109, 279, 1109, 30336, 1109, 347, 476, 8064, 1109, 30336, 1109, 273, 1109, 7545, 476, 5379, 1109, 1923, 476, 14444, 1109, 5231, 476, 15704, 280, 1109, 476, 1109, 13970, 278, 1109, 30336, 1109, 275, 1109, 7545, 476, 273, 1109, 7545, 476, 866, 1109, 5231, 1923, 476, 8064, 1109, 30336, 1109, 276, 1109, 7545, 476, 6924, 1109, 1923, 476, 12739, 1109, 5231, 476, 9965, 280, 1109, 476, 1109, 274, 1109, 7545, 476, 1109, 6321, 1109, 30336, 1109, 6321, 280, 1109, 5231, 476, 278, 1109, 30336, 1109, 347, 476, 274, 1109, 7545, 476, 4366, 1109, 30336, 1109, 272, 1109, 476, 1109, 347, 476, 273, 1109, 7545, 476, 4366, 280, 1109, 5231, 476, 3393, 1109, 29894, 29894, 10658, 14794, 476, 273, 2387, 692, 2080, 649, 723, 606, 589, 7838, 538, 2281, 678, 5379, 322, 276, 630, 10472, 27772, 1623, 321, 1108, 1797, 602, 649, 616, 6236, 2281, 678, 275, 322, 276, 543, 678, 277, 322, 276, 264, 543, 678, 5379, 322, 278, 1384, 7656, 269, 1496, 337, 273, 322, 278, 24557, 276, 17342, 337, 278, 322, 278, 24557, 277, 17342, 337, 279, 322, 278, 316, 268, 277, 268, 314, 337, 279, 322, 277, 316, 268, 279, 268, 314, 337, 280, 322, 276, 316, 268, 275, 268, 1496, 337, 275, 322, 276, 347, 337, 277, 322, 276, 24557, 275, 347, 274, 17342, 337, 275, 322, 278, 347, 337, 277, 322, 278, 316, 268, 274, 268, 314, 337, 273, 322, 278, 3910, 18092, 678, 273, 322, 278, 283, 285, 274, 780, 263, 763, 6960, 851, 7436, 519, 2189, 13551, 2020, 1103, 713, 2013, 267, 519, 3095, 1797, 602, 267, 952, 968, 275, 892, 568, 711, 538, 2901, 540, 519, 2281, 678, 5379, 322, 276, 1287, 267, 538, 1931, 547, 8190, 22464, 540, 519, 3070, 267, 835, 540, 519, 2281, 678, 5379, 322, 278, 1590, 581, 968, 274, 892, 780, 2108, 314, 337, 275, 322, 276, 347, 337, 277 ]

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

[ 8382, 2433, 5149, 7029, 568, 513, 5650, 538, 799, 2433, 1109, 18893, 2711, 4999, 540, 4559, 538, 513, 1062, 568, 6074, 693, 1022, 2016, 942, 692, 20373, 2433, 634, 1770, 5858, 540, 519, 27526, 638, 626, 4729, 21810, 883, 9322, 610, 476, 271, 28108, 1899, 540, 519, 17931, 4729, 540, 519, 645, 1712, 6516, 585, 692, 8310, 8382, 2433, 634, 1770, 5858, 540, 519, 27526, 638, 626, 4729, 21810, 883, 9322, 610, 476, 271, 28108, 1899, 540, 519, 17931, 4729, 540, 519, 645, 1712, 6516, 585, 782, 12451, 692, 20373, 2433, 634, 1770, 540, 1379, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 1379, 538, 590, 15660, 269, 4559, 568, 1109, 342, 3430, 780, 20373, 2433, 634, 1770, 540, 960, 610, 1648, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 960, 610, 1648, 538, 590, 15660, 269, 4559, 568, 1109, 329, 537, 548, 780, 20373, 2433, 634, 1770, 540, 3196, 538, 590, 15660, 269, 4559, 568, 692, 8310, 8382, 2433, 634, 1770, 540, 3196, 538, 590, 15660, 269, 4559, 568, 1109, 6124, 2023, 780, 20373, 2433, 1548, 568, 519, 1770, 540, 2268, 585, 6453, 2496, 8310, 8382, 2433, 30579, 6027, 538, 24311, 780, 20373, 2433, 1215, 1454, 568, 476, 272, 1770, 540, 5201, 2496, 8310, 8382, 2433, 476, 272, 1770, 540, 5201, 568, 3160, 547, 476, 272, 737, 2662, 780, 20373, 2433, 6904, 540, 519, 1739, 568, 10691, 606, 16038, 1770, 540, 2268, 286, 530, 264, 26910, 1535, 264, 1007, 2023, 586, 264, 795, 537, 548, 1990, 264, 23908, 552, 264, 2034, 692, 8310, 8382, 2433, 4888, 14684, 2207, 281, 2098, 4534, 18317, 294, 692, 20373, 2433, 1548, 616, 519, 16038, 6508, 4559, 2496, 8310, 8382, 2433, 15379, 31887, 267, 5122, 4187, 267, 5122, 32366, 766, 267, 3196, 267, 1648, 267, 1379, 267, 6419, 13441, 267, 3167, 5279, 267, 543, 3167, 1761, 3017, 543, 15444, 293, 269, 1452, 616, 519, 8370, 16038, 6508, 4559, 780, 20373, 2433, 1548, 568, 519, 1546, 289, 5766, 12340, 15423, 540, 513, 476, 272, 267, 1220, 11304, 1351, 557, 12076, 10707, 693, 513, 2557, 540, 476, 1839, 7397, 829, 2034, 286, 23851, 781, 3586, 568, 3160, 547, 476, 277, 269, 7830, 1535, 476, 1015, 268, 4097, 808, 537, 548, 5498, 6948, 269, 530, 264, 476, 276, 269, 274, 1535, 476, 1015, 268, 3953, 7397, 1535, 264, 476, 276, 269, 280, 1535, 476, 1015, 268, 4097, 7397, 586, 264, 476, 273, 269, 272, 1535, 476, 1015, 268, 4343, 7397, 1990, 264, 476, 272, 269, 277, 1535, 476, 1015, 268, 2412, 7397, 692, 8310, 8382, 2433, 4888, 14684, 2207, 281, 962, 4534, 476, 273, 269, 272, 1535, 476, 1015, 268, 4343, 631, 4953, 8991, 692, 20373, 2433, 5149, 540, 5295, 568, 3071, 27702, 269, 589, 269, 654, 3430, 645, 269, 808, 537, 548, 595, 269, 2549, 335, 699, 667, 269, 595, 9567, 4861, 692, 8310, 8382, 2433, 5149, 540, 5295, 568, 654, 3430, 269, 0, 258, 26332, 1588, 1505, 2689, 630, 17882, 338, 540, 5276, 13651, 1109, 3225, 725, 2020, 290, 16430, 4569, 281, 670, 6347, 269, 3918, 296, 5861, 269, 277, 454, 763, 17594, 1505, 568, 513, 4480, 585, 6061, 1949, 540, 5276, 4834, 269, 901, 2376, 8039, 519, 4480, 609, 1806, 543, 1256, 3947, 596, 513, 4960, 547, 2119, 519, 1505, 3054, 780, 1012, 1548, 568, 519, 17594, 1505, 2496, 763, 17594, 1505, 568, 513, 4480, 585, 6061, 1949, 540, 5276, 4834, 269, 2913, 781, 3802, 998, 513, 7008, 540, 1806, 780, 2162, 7151, 476, 272, 692, 2171, 2811, 4280, 547, 4194, 713, 1062, 540, 4834, 912, 17961, 25410, 348, 476, 273, 344, 266, 278, 343, 17851, 910, 276, 11138, 11138, 476, 276, 344, 268, 278, 343, 17851, 476, 1321, 1422, 754, 25410, 8679, 2171, 5469, 602, 519, 1101, 3830, 814, 513, 1269, 278, 343, 259, 2165, 543, 519, 2034, 3830, 814, 513, 1269, 268, 278, 343, 259, 2165, 269, 1452, 2474, 786, 22599, 952, 649, 1039, 519, 4834, 1927, 5889, 11366, 892, 7474, 568, 267, 649, 3513, 9004, 519, 1269, 343, 259, 2474, 912, 306, 6295, 585, 1269, 344, 8961, 649, 1205, 912, 17961, 25410, 348, 476, 278, 344, 266, 271, 17851, 278, 11138, 11138, 476, 278, 344, 17851, 278, 11138, 11138, 586, 1299, 7807, 326, 1245, 291, 346, 272, 348, 1422, 754, 25410, 8679, 303, 1663, 21794, 713, 1871, 1394, 883, 938, 1101, 3830, 267, 649, 4194, 585, 519, 824, 4756, 912, 17961, 25410, 348, 476, 273, 344, 266, 278, 343, 17851, 910, 276, 11138, 11138, 476, 273, 24206, 1422, 326, 1245, 291, 346, 272, 15396, 278, 343, 17851, 910, 276, 11138, 11138, 476, 273, 266, 278, 343, 261, 15871, 276, 11138, 11138, 476, 278, 343, 261, 15871, 278, 11138, 11138, 1535, 261, 7807, 19990, 291, 24877, 272, 348, 1422, 754, 25410, 8679, 763, 3070, 547, 519, 1062, 568, 1269, 343, 7807, 19990, 291, 24877, 272, 20954, 1269, 344, 7807, 326, 1245, 291, 346, 272, 4151, 563, 2171, 666, 2638, 938, 3070, 676, 726, 19982, 891, 2418, 1394, 883, 519, 519, 3312, 4834, 269, 2913, 781, 2119, 519, 2034, 3830, 912, 17961, 25410, 348, 476, 276, 344, 268, 278, 343, 17851, 476, 1321, 11138, 11138, 476, 276, 24206, 315, 326, 1245, 291, 346, 272, 18511, 278, 7268, 19990, 291, 24877, 272, 16585, 1299, 315, 23637, 7758, 7790, 284, 476, 1321, 11138, 11138, 476, 276, 266, 278, 17851, 476, 1321, 1422, 754, 25410, 8679, 8133, 267, 519, 3070, 11974, 856, 563, 2252, 596, 1745, 7334, 1946, 713, 1184, 1568, 267, 2638, 856, 713, 25644, 3381, 585, 606, 538, 3829, 3802, 10843, 780, 2162, 7151, 476, 273, 692, 2171, 2811, 4280, 547, 4194, 713, 1062, 540, 4834, 912, 17961, 25410, 348, 910, 280, 344, 266, 275, 343, 910, 476, 736, 261, 284, 271, 11138, 11138, 910, 278, 344, 266, 1626, 343, 268, 3199, 261, 284, 271, 1422, 754, 25410, 8679, 2171, 666, 9062, 519, 1101, 3830, 676, 1269, 268, 275, 259, 547, 1205, 606, 6697, 3830, 602, 814, 513, 4399, 20580, 921, 291, 24877, 1626, 343, 4151, 2165, 269, 3776, 1007, 630, 8117, 6697, 14386, 1062, 540, 4834, 5654, 899, 713, 912, 17961, 25410, 348, 476, 3607, 344, 315, 20580, 921, 291, 24877, 1626, 343, 15396, 3199, 261, 284, 271, 11138, 11138, 910, 278, 344, 266, 1626, 343, 268, 3199, 261, 284, 271, 1422, 754, 25410, 8679, 29002, 519, 4834, 547, 9004, 519, 1269, 343, 259, 2474, 267, 649, 1205, 912, 306, 6295, 585, 1269, 344, 8961, 649, 1205, 912, 17961, 25410, 348, 476, 3066, 344, 266, 271, 910, 271, 261, 284, 271, 8607, 11138, 476, 3066, 344, 261, 284, 271, 8607, 11138, 586, 261, 7807, 326, 1245, 291, 476, 271, 1422, 754, 25410, 8679, 303, 1663, 21794, 713, 1871, 1394, 883, 938, 1101, 3830, 267, 649, 4194, 585, 519, 824, 4756, 912, 17961, 25410, 348, 476, 3607, 344, 268, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 476, 3607, 24206, 476, 271, 268, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 910, 1626, 343, 266, 3199, 261, 284, 271, 11138, 11138, 910, 1626, 343, 261, 15871, 3199, 11138, 11138, 1535, 261, 7807, 19990, 291, 346, 276, 348, 1422, 754, 25410, 8679, 763, 3070, 547, 519, 1062, 568, 1269, 343, 7807, 19990, 291, 346, 276, 20954, 1269, 344, 7807, 326, 1245, 291, 346, 271, 4151, 563, 23763, 547, 1294, 1776, 1383, 540, 6061, 513, 7294, 1966, 609, 519, 17594, 1505, 286, 6744, 856, 713, 3381, 780, 1012, 6657, 692, 19370, 476, 272, 454, 24169, 519, 1739, 1062, 540, 4834, 563, 17961, 25410, 348, 476, 274, 343, 266, 279, 344, 17851, 476, 1428, 11138, 11138, 476, 273, 343, 268, 279, 344, 17851, 476, 1015, 1422, 754, 25410, 8679, 259, 343, 284, 14204, 259, 344, 284, 14204, 23763, 811, 2259, 286, 6744, 856, 891, 5751, 281, 0, 1432, 568, 519, 3017, 1063, 4890, 20581, 543, 1761, 20581, 2496, 1892, 476, 275, 269, 275, 330, 454, 296, 6415, 11821, 676, 519, 11984, 4890, 5288, 1761, 20581, 2496, 5804, 28957, 594, 1205, 1384, 22025, 1113, 20581, 568, 513, 2760, 10678, 1184, 910, 4946, 476, 272, 547, 20422, 2338, 269, 3962, 1840, 11729, 513, 13113, 7274, 855, 519, 1184, 2760, 7475, 780, 8002, 783, 20581, 267, 952, 594, 3893, 621, 1318, 267, 5161, 540, 6236, 519, 1305, 540, 2067, 2338, 607, 606, 11769, 538, 3294, 269, 769, 824, 1913, 476, 272, 267, 476, 273, 267, 476, 274, 267, 907, 568, 513, 1761, 20581, 855, 2715, 272, 267, 273, 267, 476, 274, 28011, 348, 568, 606, 4890, 20581, 780, 1103, 12572, 2474, 621, 4667, 519, 3017, 1063, 873, 568, 1175, 519, 4527, 270, 11274, 775, 540, 519, 1225, 569, 25329, 267, 7684, 543, 2715, 780, 4692, 2576, 2491, 713, 547, 803, 286, 8729, 563, 1892, 476, 274, 330, 454, 16100, 338, 899, 519, 3017, 1063, 15107, 517, 1143, 543, 20472, 13659, 269, 1403, 596, 1589, 6310, 3615, 616, 1483, 543, 723, 6228, 3564, 3425, 12719, 610, 18445, 873, 267, 1287, 20581, 568, 4890, 269, 1403, 596, 1810, 1405, 267, 1287, 621, 781, 1152, 1761, 267, 1317, 649, 3513, 2760, 1039, 782, 519, 1259, 909, 547, 20581, 563, 1892, 476, 275, 4391, 454, 13528, 958, 6340, 267, 4890, 20581, 8806, 4016, 547, 519, 24936, 558, 6361, 19899, 6541, 269, 1809, 713, 3884, 1405, 513, 1434, 2626, 267, 1317, 713, 1281, 711, 2272, 585, 519, 11786, 24500, 585, 10962, 519, 24936, 558, 780, 763, 5817, 14196, 568, 519, 1267, 540, 1114, 12496, 540, 519, 13016, 1129, 834, 29389, 1031, 547, 20301, 13148, 19310, 1243, 5036, 267, 543, 875, 891, 1114, 12496, 1291, 547, 1114, 8753, 7282, 519, 1360, 2495, 540, 513, 1305, 267, 1519, 1018, 4990, 540, 5036, 616, 8098, 24777, 538, 6128, 780, 302, 6113, 27274, 267, 538, 6898, 971, 607, 2715, 271, 267, 272, 267, 273, 267, 274, 28011, 9574, 519, 1129, 834, 29389, 568, 1031, 547, 1533, 602, 519, 834, 3553, 257, 4016, 547, 513, 4341, 630, 553, 538, 713, 2013, 267, 519, 4341, 540, 4946, 835, 543, 4358, 689, 4642, 1070, 607, 10353, 547, 606, 2965, 6192, 543, 2291, 550, 1560, 540, 9988, 269, 901, 568, 24190, 609, 1761, 20581, 267, 602, 22587, 547, 835, 781, 13796, 11521, 1431, 3823, 513, 1184, 4171, 1533, 568, 1213, 7757, 936, 942, 780, 1103, 824, 2665, 971, 607, 834, 3240, 10918, 1592, 568, 2715, 2419, 1157, 523, 267, 342, 710, 267, 528, 1052, 10433, 28011, 348, 14307, 519, 15956, 1522, 20301, 2901, 692, 328, 264, 606, 28008, 585, 513, 1880, 267, 1710, 7019, 2277, 762, 1592, 602, 568, 2907, 2291, 550, 267, 855, 1152, 13148, 4330, 593, 1957, 692, 528, 692, 4512, 264, 1323, 16315, 602, 513, 1592, 568, 7493, 543, 1152, 13148, 9138, 267, 602, 519, 5467, 568, 14376, 547, 4890, 1125, 585, 5128, 3842, 2655, 23082, 1010, 1378, 3688, 267, 610, 4341, 540, 10137, 780, 528, 692, 13839, 264, 513, 25386, 1129, 267, 13288, 547, 834, 716, 783, 20581, 257, 538, 513, 2631, 602, 568, 10686, 1227, 2495, 1652, 267, 9308, 24631, 543, 25401, 513, 6071, 4062, 540, 16105, 267, 855, 799, 18562, 814, 5626, 1871, 538, 4929, 575, 1342, 344, 9825, 15282, 6438, 17915, 538, 3020, 1532, 601, 773, 951, 950, 789, 14719, 622, 519, 4652, 987, 558, 762, 780, 19013, 267, 1317, 834, 29389, 568, 13016, 10035, 609, 693, 2547, 1614, 4625, 3982, 10512, 3096, 538, 1840, 547, 2348, 4357, 5626, 3096, 267, 1004, 3136, 547, 1476, 17218, 782, 540, 891, 3096, 540, 519, 15956, 267, 4929, 7839, 581, 32612, 518, 618, 267, 10952, 25127, 543, 5837, 11784, 909, 547, 519, 1459, 1554, 563, 1892, 476, 279, 3066, 454, 8002, 783, 20581, 267, 952, 594, 3893, 621, 1318, 267, 5161, 540, 6236, 519, 1305, 540, 2067, 2338, 607, 606, 11769, 538, 3294, 269, 769, 824, 1913, 476, 272, 267, 476, 273, 267, 476, 274, 267, 907, 568, 513, 1761, 20581, 855, 2715, 272, 267, 273, 267, 476, 274, 28011, 348, 568, 606, 4890, 20581, 269, 769, 12572, 2474, 621, 4667, 519, 3017, 1063, 873, 568, 1175, 519, 4527, 270, 11274, 775, 540, 519, 1225, 569, 25329, 267, 7684, 543, 2715, 780, 20007, 1227, 267, 594, 1589, 602, 621, 1058, 581, 1948, 346, 272, 267, 273, 267, 476, 274, 28011, 348, 610, 3556, 20719, 272, 267, 273, 267, 476, 274, 28011, 16585, 610, 1923, 346, 272, 267, 273, 267, 476, 274, 28011, 348, 347, 585, 4890, 20581, 630, 15258, 514, 1275, 6698, 6393, 272, 267, 273, 267, 476, 274, 28011, 568, 1175, 513, 5311, 543 ]

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

[ 5030, 693, 827, 519, 8191, 281, 630, 689, 519, 602, 256, 13979, 547, 9511, 4843, 676, 4515, 269, 14639, 12603, 644, 517, 333, 2946, 593, 3057, 519, 9511, 540, 2807, 667, 9254, 576, 12166, 5013, 689, 2596, 3741, 7640, 539, 1454, 547, 519, 3347, 1063, 13080, 267, 11783, 769, 5619, 532, 609, 3652, 547, 2268, 543, 2491, 1018, 789, 4718, 11313, 521, 8069, 1185, 547, 581, 547, 13718, 306, 5652, 9008, 717, 6504, 24143, 15258, 267, 681, 21289, 8316, 4486, 324, 7982, 32143, 9210, 28964, 267, 1215, 1677, 11711, 10871, 12525, 525, 769, 14529, 267, 1733, 32111, 17547, 704, 7345, 537, 4425, 690, 773, 267, 772, 324, 328, 5441, 1290, 680, 11989, 267, 21708, 3234, 23620, 3525, 267, 589, 807, 15928, 28787, 5623, 267, 667, 1186, 6519, 7615, 1520, 3939, 476, 1708, 271, 268, 2641, 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 ]

[ 16850, 269, 4263, 3980, 376, 1015, 30538, 267, 519, 2701, 9346, 23374, 6385, 9070, 730, 7178, 936, 476, 6110, 14790, 689, 519, 3844, 13323, 540, 1520, 523, 547, 519, 1744, 4157, 571, 620, 2701, 1731, 19944, 8462, 269, 7909, 545, 10825, 4553, 538, 519, 5045, 7266, 1537, 4414, 7256, 693, 3980, 376, 276, 30538, 269, 901, 5330, 539, 538, 942, 547, 606, 1271, 14955, 845, 640, 2429, 519, 4414, 7256, 16935, 543, 2059, 519, 19114, 540, 519, 13323, 540, 1520, 523, 267, 8107, 1998, 609, 519, 11619, 15687, 14955, 845, 640, 540, 519, 11335, 16935, 269, 589, 2101, 5123, 540, 7485, 268, 777, 691, 16935, 1646, 849, 7018, 2059, 519, 589, 336, 19487, 1700, 8867, 2779, 2981, 269, 769, 519, 2038, 1773, 328, 18152, 519, 27614, 540, 7286, 7297, 998, 9040, 620, 13495, 20623, 2799, 543, 4414, 7256, 11159, 566, 27502, 8120, 547, 15866, 1930, 7286, 2175, 269, 1635, 3980, 376, 274, 1700, 273, 30538, 267, 30173, 10825, 6410, 7178, 540, 519, 1744, 4157, 571, 620, 2701, 1731, 19944, 8462, 267, 543, 519, 3003, 13323, 540, 1520, 523, 729, 606, 30173, 678, 3424, 6185, 1005, 519, 2063, 3980, 376, 272, 7069, 267, 519, 7013, 4414, 7256, 6676, 10465, 5532, 547, 519, 1520, 523, 10825, 4099, 998, 519, 13323, 540, 2098, 3121, 267, 8355, 752, 559, 12870, 267, 543, 13323, 540, 570, 29951, 2227, 269, 3465, 1836, 267, 519, 4414, 7256, 10825, 4099, 5526, 547, 581, 9070, 908, 4724, 519, 7187, 4414, 7256, 547, 3095, 609, 519, 589, 336, 19487, 1700, 8867, 2779, 2981, 269, 1325, 330, 8932, 1666, 5306, 545, 8979, 1143, 5170, 1369, 519, 8479, 518, 14250, 1846, 540, 7262, 18142, 17936, 543, 29874, 543, 21369, 7013, 4414, 7256, 10195, 269, 4107, 540, 519, 26768, 6676, 568, 1631, 7680, 715, 1700, 306, 5580, 12933, 531, 13496, 267, 6466, 519, 5021, 8880, 2566, 568, 20218, 661, 1700, 310, 538, 17252, 4000, 269, 17936, 543, 4000, 267, 1631, 593, 5094, 10824, 267, 616, 4061, 4625, 1232, 537, 9482, 538, 2474, 540, 6237, 267, 2484, 1922, 1752, 17613, 563, 302, 269, 9697, 2317, 534, 340, 1923, 670, 269, 654, 641, 325, 1676, 1923, 623, 14371, 269, 661, 686, 802, 5459, 1923, 645, 269, 595, 1515, 333, 29589, 1923, 645, 2529, 269, 11676, 3805, 1923, 681, 8160, 13034, 269, 8055, 1923, 623, 12282, 269, 12390, 1723, 343, 454, 20082, 281, 634, 10127, 5622, 30520, 540, 5045, 7266, 1537, 4000, 7960, 1282, 519, 1101, 19195, 4783, 540, 2706, 29657, 10198, 543, 2736, 1575, 540, 623, 1052, 320, 267, 896, 519, 3310, 540, 1079, 3982, 29684, 20816, 21433, 689, 519, 7013, 543, 7187, 19114, 540, 717, 1180, 32272, 269, 634, 7013, 29684, 12512, 729, 1644, 547, 3157, 540, 1016, 9134, 543, 522, 4088, 8412, 2059, 519, 7754, 11209, 28045, 630, 25659, 2801, 334, 6261, 6680, 264, 14345, 540, 717, 1180, 32272, 267, 799, 8507, 538, 519, 5250, 540, 513, 27164, 2117, 2062, 1633, 1062, 1634, 607, 519, 968, 10852, 10127, 5622, 892, 19438, 267, 609, 519, 3119, 7449, 2064, 6127, 6719, 676, 4827, 1116, 543, 6422, 15205, 269, 901, 16935, 28933, 519, 4704, 14404, 19973, 540, 519, 17623, 12539, 26448, 1700, 29557, 30083, 26226, 10127, 5622, 942, 267, 799, 2882, 519, 667, 14567, 6390, 267, 661, 17433, 267, 2142, 879, 3228, 543, 23566, 6199, 12776, 739, 7806, 15572, 545, 4559, 269, 3345, 540, 519, 1292, 10127, 5622, 19438, 267, 519, 29684, 20816, 941, 13856, 676, 970, 20378, 610, 17464, 560, 20378, 17613, 602, 9070, 730, 5045, 2072, 883, 519, 2706, 29657, 689, 519, 28836, 570, 996, 12505, 14345, 540, 717, 1180, 32272, 269, 8111, 574, 12723, 593, 519, 29684, 1852, 593, 16935, 1646, 267, 20296, 15088, 849, 2451, 513, 1665, 593, 519, 14404, 15572, 545, 2594, 267, 3246, 513, 1455, 8142, 602, 6402, 519, 24348, 6445, 540, 519, 10127, 5622, 30520, 4646, 896, 1114, 29684, 20816, 269, 1306, 513, 2489, 7678, 267, 519, 2916, 4957, 689, 4411, 543, 10859, 268, 541, 573, 1282, 519, 17623, 12539, 26448, 1700, 792, 31586, 18983, 1014, 8884, 267, 547, 15911, 543, 5555, 3905, 609, 11385, 908, 13247, 1282, 519, 1964, 540, 10127, 5622, 942, 6185, 826, 547, 519, 10593, 538, 29684, 543, 20296, 2175, 689, 519, 7013, 547, 519, 7187, 19114, 540, 4000, 1282, 519, 10127, 5622, 8884, 267, 519, 12776, 739, 7806, 15572, 545, 1915, 540, 519, 10127, 5622, 8111, 16766, 849, 2242, 3648, 2066, 519, 3979, 11782, 269, 1280, 713, 2601, 267, 519, 10127, 5622, 30520, 2283, 340, 588, 878, 1729, 267, 799, 1397, 2312, 10486, 609, 519, 1292, 10127, 5622, 19438, 540, 3162, 4000, 267, 616, 3622, 11658, 547, 5045, 7266, 1537, 4000, 267, 6466, 519, 10127, 5622, 21943, 1967, 687, 12873, 547, 519, 5087, 540, 519, 20337, 616, 3982, 569, 1114, 269, 901, 1957, 6212, 593, 519, 10127, 5622, 30520, 2283, 340, 588, 878, 1729, 540, 5045, 7266, 1537, 4000, 267, 13754, 1944, 741, 11159, 1670, 543, 14404, 15572, 545, 2934, 538, 6935, 547, 519, 29684, 543, 20296, 8060, 593, 22098, 543, 11159, 566, 563, 307, 5861, 269, 5096, 625, 1923, 670, 10611, 269, 631, 1495, 15401, 334, 454, 20082, 281, 634, 12933, 540, 3162, 4000, 814, 22734, 1585, 14501, 543, 6163, 540, 7777, 5314, 267, 6580, 607, 2484, 1394, 607, 519, 16329, 534, 269, 634, 24194, 540, 6886, 3812, 568, 3309, 543, 2882, 8407, 267, 1875, 31475, 1023, 543, 4853, 6886, 269, 4595, 519, 20167, 626, 18152, 267, 8101, 9424, 540, 2609, 267, 1312, 9422, 543, 6757, 267, 602, 941, 3238, 538, 7626, 8108, 3157, 267, 723, 1044, 1121, 984, 559, 2213, 543, 23799, 30744, 676, 17774, 2772, 3157, 540, 7920, 9341, 29056, 267, 30450, 267, 552, 1663, 341, 2747, 267, 10540, 338, 565, 5314, 543, 575, 2917, 532, 282, 543, 811, 5063, 267, 676, 5599, 543, 1644, 3157, 267, 607, 1134, 607, 676, 824, 4683, 543, 4853, 2238, 269, 1306, 513, 1267, 540, 713, 968, 4134, 11825, 542, 892, 621, 568, 711, 16613, 547, 1265, 1804, 8778, 338, 540, 519, 2197, 5627, 18811, 748, 10250, 3693, 9115, 610, 19518, 538, 1898, 2890, 5991, 22021, 2609, 269, 3414, 1216, 543, 1426, 7031, 267, 26037, 538, 10250, 3693, 8390, 538, 11934, 616, 10299, 883, 519, 1426, 5832, 267, 609, 1419, 24379, 4539, 585, 1480, 543, 3662, 1072, 269, 1809, 519, 1634, 7648, 616, 711, 607, 2943, 18113, 13006, 269, 7439, 568, 972, 6190, 1702, 593, 519, 6286, 540, 891, 7648, 585, 519, 1072, 540, 519, 1604, 543, 922, 8134, 269, 715, 22021, 28119, 11934, 949, 581, 519, 9030, 1757, 894, 3815, 538, 519, 14042, 21049, 11560, 334, 14390, 26578, 2068, 602, 3413, 26555, 1079, 22188, 540, 519, 2021, 538, 10934, 583, 531, 663, 267, 585, 3236, 269, 634, 3622, 1970, 1530, 4567, 540, 6694, 11934, 1223, 2099, 606, 1271, 1071, 29969, 538, 519, 5266, 1164, 18236, 3928, 540, 7486, 5025, 10680, 538, 519, 2197, 269, 634, 1764, 540, 20569, 593, 3662, 1072, 849, 3788, 606, 1858, 540, 2565, 6161, 547, 1312, 6705, 543, 9946, 540, 519, 5458, 569, 1271, 7320, 3014, 14425, 269, 901, 1957, 11828, 513, 1906, 1634, 3347, 1063, 10250, 3693, 4430, 270, 3698, 11351, 31827, 8385, 689, 7777, 5314, 3157, 267, 543, 519, 2199, 543, 6237, 3892, 540, 3676, 538, 812, 543, 2831, 538, 3162, 4000, 269, 898, 568, 11643, 602, 519, 4161, 585, 2104, 1382, 538, 2564, 20569, 1131, 9114, 538, 606, 22555, 4674, 6322, 693, 16326, 267, 2357, 4328, 543, 25643, 971, 3347, 269, 901, 1131, 948, 7494, 538, 3376, 2287, 519, 10368, 8552, 543, 3797, 585, 513, 1297, 540, 2825, 3676, 538, 519, 2197, 563, 280, 269, 4635, 21180, 300, 266, 543, 589, 4306, 2207, 8596, 547, 2697, 4401, 20825, 538, 519, 10507, 5112, 328, 476, 272, 281, 1911, 267, 1822, 11837, 6656, 540, 6239, 9459, 454, 6826, 327, 5864, 590, 1228, 724, 328, 1923, 16549, 537, 1889, 327, 10609, 531, 1690, 5733, 537, 14741, 1923, 3212, 344, 2006, 2279, 345, 531, 1923, 3474, 341, 714, 7720, 732, 325, 341, 663, 1923, 2549, 597, 4437, 13568, 962, 553, 516, 6798, 1923, 29871, 22911, 1877, 2741, 1923, 18536, 23340, 1923, 2279, 3333, 541, 2098, 27927, 541, 604, 328, 454, 20082, 281, 3509, 4401, 20825, 543, 12074, 2291, 538, 519, 6239, 22504, 7293, 7997, 267, 2523, 538, 519, 645, 2378, 336, 8664, 269, 634, 10507, 5112, 328, 476, 272, 281, 1911, 267, 1822, 11837, 6656, 568, 4092, 538, 713, 3148, 543, 972, 616, 1896, 4401, 15183, 543, 12074, 267, 552, 3052, 269, 932, 611, 768, 2728, 267, 932, 26710, 691, 267, 1530, 327, 16644, 1695, 3019, 267, 631, 880, 323, 578, 534, 543, 2098, 27895, 807, 269, 634, 2832, 540, 713, 1353, 568, 547, 2697, 543, 3713, 519, 4401, 12946, 20825, 676, 9001, 519, 14924, 520, 21180, 300, 266, 543, 519, 11628, 6611, 13871, 26365, 2506, 2153, 543, 14506, 30521, 10309, 630, 3008, 9898, 264, 9682, 1239, 269, 11153, 2409, 2874, 540, 12430, 17020, 20530, 2109, 630, 11862, 6363, 527, 1070, 4223, 3481, 8606, 18146, 630, 300, 293, 1070, 15190, 1537, 24234, 631, 1952, 518, 630, 306, 4456, 1070, 15190, 1537, 3171, 1155, 674, 9231, 630, 306, 13697, 1070, 17020, 22472, 630, 16576, 281, 476, 273, 270, 272, 543, 476, 274, 270, 272, 264, 543, 10439, 7664, 630, 305, 16412, 281, 476, 276, 4029, 264, 941, 1031, 585, 713, 3483, 269, 23113, 941, 4857, 676, 3308, 7664, 540, 2592, 543, 6512, 10659, 630, 305, 16412, 281, 476, 32542, 1040, 27010, 2127, 941, 1336, 676, 700, 306, 6363, 527, 267, 631, 293, 543, 590, 4456, 20718, 1373, 13883, 538, 519, 3345, 543, 519, 3345, 7232, 770, 267, 6239, 543, 3345, 5375, 2694, 540, 519, 10507, 5112, 328, 11837, 6656, 799, 568, 1631, 6069, 585, 4401, 20825, 19175, 532, 563, 1015, 269, 1160, 1597, 766, 267, 4511, 523, 8412, 267, 29684, 4259, 543, 13111, 2298, 540, 519, 5070, 18429, 540, 519, 918, 732, 655, 19725, 267, 13323, 540, 590, 22222, 267, 5527, 454, 21579, 597, 631, 269, 2098, 4660, 454, 20082, 281, 634, 5664, 21007, 18152, 918, 732, 655, 5070, 18429, 616, 1271, 3282, 23854, 538, 519, 27623, 851, 540, 519, 13323, 540, 590, 22222, 16935, 267, 5527, 269, 1717, 267, 741, 4511, 523, 8412, 543, 8810, 766, 543, 741, 1764, 593, 13111, 2298, 267, 616, 12303, 7164, 269, 27842, 689, 519, 14858, 527, 7345, 13813, 12197, 267, 543, 519, 5101, 14858, 527, 13813, 12197, 2099, 519, 13722, 918, 732, 655, 630, 305, 1695, 14741, 16588, 264, 543, 519, 16592, 918, 732, 655, 630, 4537, 26196, 16588, 1070, 941, 6594, 1210, 513, 4999, 540, 4620, 5766, 1429, 545, 267, 7777, 16479, 543, 2520, 12950, 2553, 269, 634, 13722, 31670, 14741, 5070, 18429, 723, 606, 3328, 5943, 5888, 540, 1627, 4817, 293, 274, 269, 275, 305, 272, 269, 277, 267, 543, 476, 3445, 260, 540, 519, 21247, 9274, 616, 1395, 665, 31051, 710, 269, 1635, 4334, 267, 519, 16592, 1744, 26196, 5070, 18429, 616, 1152, 5594, 1447, 21247, 846, 609, 606, 3328, 5943, 5888, 540, 1627, 10602, 293, 2641, 305, 274, 543, 476, 11025, 260, 540, 519, 21247, 9274, 616, 1395, 665, 31051, 710, 269, 634, 918, 732, 655, 5070, 18429, 616, 6140, 21247, 13873, 924, 609, 29884, 1016, 1046, 846, 543, 818, 330, 846, 269, 8891, 5766, 1429, 673, 543, 2520, 12950, 1239, 540, 5070, 18429, 5815, 602, 789, 941, 6508, 689, 11491, 12792, 543, 23009, 545, 1768, 23230, 607, 519, 1292, 2707, 4224, 609, 513, 29884, 21247, 846, 13381, 24348, 7725, 543, 20024, 538, 513, 12809, 18626, 14345, 540, 513, 5348, 678, 3424, 16935, 269, 634, 5070, 18429, 540, 519, 918, 732, 655, 19725, 1397, 16057, 6175, 538, 15657, 269, 8891, 5766, 1429, 545, 1353, 7000, 602, 12373, 558, 924, 568, 519, 8789, 9160, 543, 3622, 4386, 607, 5386, 547, 5420, 11002, 558, 2125, 31736, 29473, 6984, 5123, 543, 12725, 607, 513, 10286, 4562, 659, 633, 5123, 269, 589, 3578, 3394, 545, 21247, 4386, 607, 1507, 552, 340, 14366, 14848, 267, 12725, 607, 1804, 13470, 10537, 14848, 538, 519, 3119, 22405, 269, 589, 3578, 3394, 545, 606, 5139, 27866, 3335, 2049, 607, 1093, 1731, 559, 582, 8084, 11002, 558, 2125, 610, 20436, 622, 561, 23411, 1102, 3739, 22405, 855, 849, 607, 18916, 11423, 9160, 269, 634, 25697, 565, 9548, 568, 513, 676, 1790, 6055, 540, 21688, 1091, 1706, 30450, 538, 519, 4527, 540, 15755, 5714, 3812, 1282, 519, 30553, 540, 5214, 2339, 538, 519, 11105, 21007, 18152, 7725, 6185, 328, 10402, 2045, 2934, 1331, 735, 9146, 282, 12373, 558, 924, 267, 21958, 543, 606, 5139, 1679, 2781, 7695, 609, 5634 ]

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

[ 4543, 547, 1118, 269, 2368, 540, 891, 2872, 4966, 1522, 1331, 7260, 12696, 267, 2575, 5159, 610, 6148, 2754, 19971, 543, 12478, 269, 634, 3152, 2179, 540, 18164, 596, 3489, 267, 519, 811, 2500, 19175, 596, 786, 723, 540, 13844, 6976, 585, 547, 1711, 8301, 585, 519, 2713, 563, 4467, 19397, 568, 711, 1152, 827, 26107, 5250, 269, 1411, 1223, 946, 707, 1983, 585, 6725, 267, 3381, 24056, 543, 8874, 26725, 2982, 610, 26725, 18537, 593, 1283, 540, 602, 269, 0, 16969, 28082, 3163, 7720, 328, 527, 331, 8270, 13045, 16969, 1432, 286, 29114, 6441, 2074, 585, 631, 2737, 256, 8786, 267, 3371, 1358, 3657, 454, 16969, 12126, 6781, 913, 282, 1215, 519, 2766, 2000, 2074, 4217, 519, 544, 2544, 1673, 18182, 3297, 1010, 3640, 5721, 269, 2311, 1318, 281, 634, 1769, 7923, 547, 519, 2766, 454, 16969, 4512, 4512, 1731, 19985, 519, 1034, 700, 24179, 331, 543, 26884, 540, 3640, 2831, 267, 3085, 1405, 917, 268, 1454, 827, 554, 26677, 1010, 530, 6782, 547, 513, 5182, 267, 855, 1045, 523, 268, 512, 633, 812, 561, 5362, 2097, 2059, 543, 814, 5734, 3481, 513, 5182, 547, 519, 544, 2544, 781, 2766, 269, 2353, 713, 814, 1044, 2944, 547, 2149, 519, 544, 2544, 781, 1272, 267, 543, 547, 840, 315, 550, 1864, 689, 9561, 5128, 543, 1818, 8373, 950, 646, 568, 855, 835, 544, 2544, 538, 513, 22755, 540, 544, 2737, 563, 25748, 513, 29070, 8009, 7018, 2282, 11968, 13353, 950, 513, 4807, 5671, 315, 300, 978, 606, 18914, 2059, 519, 19814, 10443, 883, 513, 22755, 540, 544, 2737, 269, 634, 18914, 729, 20739, 22486, 267, 519, 4807, 729, 13676, 267, 543, 1079, 540, 519, 544, 2737, 941, 7166, 269, 589, 5480, 2962, 729, 2663, 19429, 1996, 519, 8227, 540, 519, 544, 2737, 267, 543, 519, 4807, 729, 1659, 1678, 9364, 8101, 14796, 563, 2005, 1131, 3100, 693, 1101, 2219, 602, 519, 8227, 540, 519, 544, 2737, 2864, 982, 519, 10081, 268, 4254, 18442, 331, 729, 13886, 547, 14796, 282, 855, 519, 9794, 1590, 688, 315, 324, 1634, 1945, 827, 544, 2737, 543, 3768, 328, 307, 560, 333, 617, 519, 12918, 563, 2026, 320, 1567, 328, 650, 562, 325, 519, 8009, 519, 544, 2544, 8227, 535, 4582, 2213, 513, 2766, 2000, 697, 547, 581, 12816, 536, 32075, 1010, 2831, 1310, 4158, 269, 898, 568, 513, 1769, 540, 1775, 327, 283, 262, 2241, 882, 548, 743, 2135, 2100, 1826, 267, 971, 607, 568, 1031, 676, 22833, 285, 743, 1235, 269, 1879, 513, 3640, 5721, 540, 544, 2737, 568, 9141, 2059, 693, 3781, 1142, 544, 2544, 568, 24224, 609, 513, 1769, 269, 901, 552, 4512, 269, 17156, 519, 1166, 686, 315, 518, 267, 2484, 538, 519, 678, 3511, 540, 519, 1291, 544, 2544, 267, 547, 4063, 519, 2990, 678, 339, 325, 552, 269, 747, 3662, 538, 1899, 543, 519, 4287, 646, 568, 2921, 563, 16969, 763, 570, 514, 5006, 16359, 12860, 1677, 2142, 13242, 538, 519, 8136, 454, 306, 6865, 298, 4277, 552, 26142, 704, 514, 1304, 268, 21518, 1500, 5063, 676, 512, 262, 2194, 2967, 4512, 7054, 1678, 661, 269, 918, 341, 753, 540, 519, 700, 262, 333, 1243, 6215, 919, 13149, 17620, 609, 513, 2070, 4724, 9591, 519, 1316, 545, 1464, 540, 513, 1507, 5179, 322, 301, 2193, 2966, 676, 18018, 334, 595, 18582, 5459, 563, 26142, 4357, 267, 9280, 538, 5230, 15292, 532, 1931, 267, 6836, 856, 519, 12103, 268, 804, 328, 710, 269, 1261, 1185, 1185, 1100, 7173, 328, 537, 268, 1995, 609, 26873, 610, 544, 263, 910, 8731, 7094, 14369, 269, 966, 564, 1010, 1967, 538, 1766, 520, 268, 3824, 621, 814, 3366, 547, 519, 3661, 602, 621, 1131, 9114, 513, 10950, 1840, 547, 519, 554, 6921, 940, 3235, 7032, 3612, 540, 938, 7980, 269, 634, 3684, 786, 4163, 607, 1454, 607, 1614, 4627, 6550, 543, 12492, 513, 3432, 540, 1775, 342, 4868, 30235, 315, 324, 5195, 606, 5662, 267, 4352, 922, 2597, 568, 855, 15823, 6550, 269, 898, 3217, 15113, 1574, 8811, 8339, 17721, 594, 264, 320, 315, 529, 267, 945, 6836, 621, 856, 267, 1336, 1100, 7411, 538, 26799, 513, 2185, 339, 322, 523, 24266, 13141, 710, 563, 763, 3684, 568, 865, 1507, 602, 621, 786, 2490, 1472, 5857, 329, 264, 15174, 1510, 8594, 269, 898, 568, 865, 1769, 602, 621, 949, 581, 24850, 522, 315, 518, 1022, 3921, 14373, 315, 268, 21677, 269, 2290, 540, 519, 4255, 15538, 538, 14964, 621, 909, 547, 513, 2185, 20356, 20545, 267, 16069, 519, 2599, 543, 17666, 519, 3684, 936, 519, 20545, 267, 782, 540, 799, 729, 2944, 609, 2357, 32075, 2370, 8488, 269, 1403, 519, 812, 945, 9447, 519, 4583, 5048, 547, 25661, 807, 1185, 1185, 835, 540, 891, 1010, 4305, 1131, 723, 1044, 4443, 563, 763, 7516, 540, 519, 2370, 3684, 616, 17288, 32732, 6279, 536, 315, 268, 8370, 6279, 769, 29933, 6279, 269, 898, 568, 3592, 1507, 2614, 547, 581, 513, 1404, 2251, 269, 966, 564, 621, 786, 1286, 337, 315, 268, 1614, 561, 684, 573, 1042, 6550, 585, 15823, 5195, 693, 2073, 342, 328, 5665, 13258, 540, 4557, 21347, 563, 16969, 12126, 2005, 5654, 6263, 267, 855, 621, 786, 524, 333, 337, 787, 1614, 554, 9109, 268, 1743, 7251, 1923, 298, 285, 14241, 573, 16210, 693, 8938, 2947, 5195, 606, 5662, 0, 23737, 519, 5106, 540, 22107, 1228, 1852, 8520, 454, 290, 2444, 1228, 1852, 31230, 1568, 476, 273, 3690, 2466, 614, 1280, 1383, 5426, 1299, 2095, 1852, 769, 835, 11896, 563, 10521, 1852, 17787, 4687, 476, 272, 3803, 1852, 3693, 269, 476, 273, 15392, 3457, 267, 476, 273, 27196, 267, 610, 1852, 7161, 269, 5637, 4299, 676, 519, 1482, 3803, 1852, 3926, 563, 763, 3977, 540, 519, 3119, 3587, 519, 1305, 1448, 585, 519, 6281, 17120, 269, 634, 6281, 17120, 6354, 12885, 519, 3803, 1852, 3693, 563, 763, 6281, 8520, 1590, 581, 1896, 2053, 5488, 547, 4431, 982, 519, 3119, 8520, 585, 713, 547, 581, 6225, 0, 288, 3661, 602, 814, 11478, 585, 513, 1279, 942, 5144, 1259, 763, 14925, 267, 799, 2882, 519, 3047, 543, 519, 3859, 1062, 267, 568, 5266, 11979, 267, 7745, 676, 513, 1007, 17184, 1523, 563, 763, 18700, 12210, 540, 6801, 543, 10785, 568, 15504, 267, 18761, 267, 543, 632, 11526, 676, 519, 14965, 3196, 540, 513, 4130, 14925, 267, 519, 4279, 7395, 749, 23307, 13192, 630, 299, 10157, 1916, 14722, 3494, 602, 519, 700, 10157, 18084, 519, 27305, 10158, 8473, 827, 476, 10384, 2929, 1296, 3516, 267, 2687, 547, 14421, 1670, 4441, 267, 543, 12517, 22314, 519, 9403, 543, 3350, 540, 938, 14925, 1813, 547, 922, 1804, 1543, 540, 4158, 2339, 563, 22349, 1258, 12002, 2161, 602, 519, 2360, 616, 1869, 1373, 5433, 2221, 543, 602, 649, 991, 547, 556, 29264, 875, 938, 14925, 7960, 563, 763, 700, 10157, 267, 1631, 513, 9682, 14925, 540, 519, 27305, 10158, 267, 5526, 607, 513, 25861, 6531, 538, 519, 3781, 22839, 540, 519, 7013, 21571, 1107, 540, 519, 1482, 2012, 267, 476, 1626, 514, 30544, 7395, 749, 534, 267, 519, 14082, 24413, 540, 519, 2540, 563, 28095, 1382, 814, 3254, 602, 700, 10157, 568, 11303, 676, 513, 10300, 334, 267, 513, 4158, 6219, 899, 519, 27305, 10158, 1107, 602, 27788, 15270, 543, 1281, 711, 4309, 610, 12520, 1769, 267, 855, 814, 513, 10565, 14965, 1198, 593, 519, 5163, 540, 6801, 543, 3154, 538, 519, 7122, 563, 8794, 606, 4359, 8579, 2203, 602, 21410, 519, 3432, 540, 519, 27305, 10158, 779, 1034, 11397, 6801, 267, 519, 2160, 540, 25470, 2319, 814, 4362, 875, 519, 700, 10157, 7519, 338, 519, 5163, 540, 938, 14925, 269, 634, 960, 729, 3370, 538, 7849, 18395, 267, 8750, 539, 676, 519, 3703, 7027, 585, 519, 19372, 618, 540, 3163, 543, 5303, 630, 4306, 15598, 1916, 763, 3173, 1336, 602, 519, 9649, 8904, 540, 700, 10157, 779, 4158, 2339, 10300, 334, 22755, 519, 27305, 10158, 1167, 693, 476, 3953, 5998, 1315, 554, 267, 610, 476, 12893, 267, 1220, 12919, 829, 5662, 4724, 623, 1122, 30510, 563, 20776, 29418, 267, 789, 1336, 602, 519, 27305, 10158, 729, 3001, 4724, 513, 1448, 538, 922, 5449, 18330, 267, 711, 519, 700, 10157, 779, 1699, 4087, 607, 5892, 2219, 563, 763, 2601, 585, 713, 568, 602, 519, 700, 10157, 267, 799, 568, 22541, 676, 2527, 8904, 267, 568, 3001, 2476, 689, 519, 27305, 10158, 693, 513, 3432, 540, 476, 24907, 5998, 1315, 554, 267, 476, 272, 269, 274, 2929, 12919, 829, 5662, 563, 22349, 1258, 12002, 2161, 602, 621, 568, 607, 952, 519, 27305, 10158, 568, 3843, 2182, 547, 5734, 513, 3728, 2173, 8221, 3077, 267, 855, 621, 568, 711, 3478, 513, 1360, 1434, 3077, 563, 1607, 6602, 786, 948, 3744, 1020, 1007, 9781, 2553, 602, 2992, 519, 2178, 6422, 4205, 1063, 519, 1079, 15270, 563, 22349, 1258, 12002, 1631, 20053, 547, 1353, 519, 4287, 538, 799, 519, 700, 10157, 1101, 15354, 593, 519, 27305, 10158, 543, 519, 3169, 942, 621, 7018, 269, 901, 786, 7866, 519, 2179, 543, 3892, 540, 4158, 2339, 538, 519, 27305, 10158, 543, 700, 10157, 538, 606, 13778, 1469, 563, 22117, 532, 2278, 540, 519, 20513, 540, 8212, 543, 18395, 543, 16588, 540, 5403, 4777, 28118, 3194, 3220, 269, 7812, 22642, 523, 1767, 912, 2108, 5978, 4681, 2307, 585, 1007, 27305, 10158, 3631, 547, 4766, 519, 4720, 540, 938, 14925, 563, 14071, 2813, 513, 4282, 538, 799, 6801, 693, 11212, 1804, 9883, 540, 476, 4968, 267, 1822, 1769, 26188, 12873, 513, 3965, 540, 519, 27305, 10158, 2497, 1354, 519, 700, 10157, 15354, 267, 543, 649, 6027, 513, 5182, 12210, 10760, 538, 2230, 269, 17240, 1194, 676, 519, 14965, 3196, 540, 519, 700, 10157, 269, 9232, 454, 297, 5282, 3212, 10722, 541, 13041, 807, 267, 7905, 540, 519, 17721, 4972, 540, 3400, 13901, 18868, 267, 20513, 540, 8212, 543, 18395, 267, 1767, 912, 22154, 6602, 9090, 9397, 519, 9059, 540, 938, 14925, 1373, 538, 513, 2186, 540, 11466, 2223, 646, 1767, 269, 769, 1249, 267, 519, 2487, 7771, 540, 519, 700, 10157, 568, 4929, 3978, 6161, 936, 519, 27305, 10158, 563, 2108, 8139, 713, 666, 2285, 721, 606, 26080, 2856, 540, 519, 3892, 540, 4158, 2339, 538, 1312, 15270, 3034, 27270, 281, 968, 19547, 1254, 540, 27305, 10158, 16846, 2962, 1813, 547, 519, 2887, 540, 519, 4279, 7395, 749, 23307, 13192, 892, 676, 7812, 590, 269, 22642, 523, 543, 808, 5282, 3212, 10722, 541, 13041, 807, 267, 5437, 476, 2537, 267, 476, 1708, 271, 267, 7849, 18395, 563, 23077, 296, 281, 476, 1015, 269, 9818, 279, 1315, 521, 25870, 2004, 268, 22903, 268, 23713, 7918, 268, 274, 0, 14937, 9440, 12660, 542, 12518, 281, 1548, 1677, 7233, 2060, 4563, 9440, 645, 16640, 454, 1432, 1411, 9701, 333, 1406, 7233, 8921, 1677, 4563, 11241, 454, 305, 5684, 11241, 616, 1634, 547, 4482, 10987, 543, 17984, 269, 1358, 949, 2014, 2042, 952, 789, 1332, 1932, 2673, 547, 707, 2777, 610, 13452, 269, 1403, 596, 723, 678, 5684, 11241, 2282, 707, 1753, 267, 621, 1522, 581, 1655, 547, 4894, 873, 689, 519, 1858, 1354, 789, 1831, 12362, 563, 23325, 11241, 616, 1776, 1826, 540, 10874, 787, 602, 24643, 7786, 543, 824, 6225, 7103, 269, 1717, 267, 789, 798, 711, 3100, 547, 21898, 1082, 1004, 950, 6738, 538, 1507, 9424, 269, 9791, 9440, 26965, 949, 581, 1434, 15274, 585, 678, 5684, 11241, 952, 6738, 538, 1507, 5666, 269, 9791, 9440, 26965, 786, 4440, 711, 14526, 1134, 609, 678, 5684, 11241, 585, 1426, 2959, 267, 855, 789, 1223, 1683, 930, 12094, 936, 942, 563, 5522, 13589, 9791, 11241, 1656, 681, 5684, 11241, 8625, 2052, 2142, 589, 6153, 22830, 454, 2252, 596, 1616, 547, 1332, 30207, 543, 678, 5684, 11241, 1927, 267, 1287, 621, 1131, 581, 1655, 547, 2030, 873, 538, 519, 1482, 4087, 269, 901, 1259, 596, 4465, 1406, 1205, 883, 8373, 609, 10860, 22215, 1312, 2010, 540, 15708, 269, 1403, 596, 1810, 1406, 2247, 2348, 835, 1826, 540, 17382, 12721, 609, 519, 824, 267, 1287, 6148, 9544, 873, 1927, 2306, 2631, 269, 1411, 666, 849, 2030, 22229, 7258, 3109, 9440, 26965, 952, 602, 779, 1945, 602, 4690, 596, 563, 2691, 596, 616, 3395, 678, 5684, 11241, 7258, 824, 15708, 267, 1287, 621, 1131, 581, 1655, 547, 1450, 2614, 4055, 585, 873, 269, 1358, 2154, 513, 2603, 540, 2230, 267, 543, 789, 786, 1034, 2693, 856, 16327, 23176, 1022, 7404, 2371, 269, 1403, 596, 1810, 1406, 1616, 713, 547, 4755, 267, 1287, 596, 949, 1616, 547, 1332, 873, 12341, 3116, 593, 707, 3959, 563, 9989, 31896, 2961, 12783, 14033, 4563, 11241 ]

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

[ 910, 476, 272, 912, 3546, 2736, 454, 2018, 6843, 815, 6843, 12785, 454, 1038, 952, 6843, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 6843, 318, 2908, 12785, 815, 6843, 12785, 476, 1948, 17276, 493, 496, 24662, 420, 488, 480, 30536, 454, 1038, 6843, 12785, 815, 12162, 4141, 318, 2908, 0, 18257, 272, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 18777, 378, 325, 3287, 6661, 274, 343, 275, 268, 280, 343, 273, 21147, 270, 273, 8147, 13644, 371, 16533, 484, 325, 3287, 264, 16533, 479, 420, 352, 483, 20992, 22047, 16583, 30936, 8147, 418, 365, 480, 25051, 497, 343, 419, 511, 487, 30678, 23284, 31284, 29219, 28793, 8147, 454, 325, 3287, 264, 15159, 14035, 504, 16533, 495, 269, 311, 9463, 500, 29219, 16088, 7918, 267, 9834, 267, 10695, 267, 5038, 267, 23056, 267, 15647, 267, 3607, 275, 18411, 3698, 535, 3287, 2567, 3097, 825, 586, 815, 476, 274, 20080, 1262, 275, 268, 280, 20080, 1262, 273, 21147, 270, 273, 454, 825, 2132, 586, 454, 2745, 17338, 9852, 777, 6600, 267, 314, 7918, 267, 9834, 267, 10695, 267, 5038, 267, 23056, 267, 15647, 267, 3607, 275, 316, 4297, 2020, 18257, 273, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 419, 376, 500, 19540, 503, 22047, 16583, 30936, 8147, 28884, 418, 365, 480, 27447, 24662, 29873, 14756, 358, 8147, 27447, 24731, 29873, 14756, 358, 7511, 419, 511, 487, 419, 374, 356, 12486, 3445, 268, 1911, 20992, 288, 267, 3199, 268, 3445, 20992, 289, 8147, 454, 2568, 268, 3199, 20992, 290, 267, 2568, 26166, 23284, 31284, 20992, 291, 563, 21550, 371, 28032, 489, 27447, 24662, 281, 5952, 454, 21550, 371, 28032, 489, 27447, 24731, 281, 289, 18411, 343, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 7511, 29873, 14756, 358, 16088, 27328, 3698, 3446, 3287, 2187, 825, 952, 476, 3445, 10922, 1535, 10922, 476, 1911, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 288, 4840, 825, 8640, 476, 3199, 10922, 1535, 2999, 476, 3445, 912, 1038, 2132, 257, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 289, 4840, 825, 8640, 476, 2568, 10922, 1535, 2999, 3199, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 290, 4840, 825, 3116, 912, 1038, 2132, 834, 12916, 510, 7511, 29873, 14756, 358, 419, 511, 487, 419, 374, 356, 20992, 291, 4840, 2745, 263, 14079, 3287, 11723, 18257, 274, 269, 453, 27818, 12916, 379, 17958, 3698, 16583, 30936, 14395, 490, 29873, 24724, 19867, 378, 24731, 25263, 510, 24662, 16583, 30936, 7511, 28578, 23989, 16043, 500, 30317, 14756, 482, 7511, 417, 354, 485, 12255, 12916, 491, 28098, 18021, 498, 7511, 30317, 27381, 510, 8147, 23946, 370, 13213, 498, 18713, 508, 22047, 13161, 364, 7511, 28578, 23989, 454, 21550, 371, 28032, 489, 27447, 24662, 281, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 454, 21550, 371, 28032, 489, 27447, 24731, 281, 272, 267, 476, 274, 267, 476, 276, 267, 476, 278, 18411, 3698, 9642, 20311, 3287, 2187, 825, 9642, 15893, 815, 11713, 825, 585, 1775, 538, 1535, 912, 1038, 952, 1775, 260, 273, 2652, 476, 272, 912, 2018, 9642, 15893, 6910, 9217, 994, 825, 2132, 263, 15957, 15893, 994, 2745, 263, 15957, 20311, 8443, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 28413, 18257, 275, 269, 453, 27818, 12916, 379, 17958, 23523, 359, 27064, 363, 25520, 10254, 353, 13161, 511, 24724, 20069, 18713, 505, 14748, 12255, 21211, 16088, 272, 18998, 273, 18998, 274, 18998, 275, 8147, 420, 25693, 14756, 482, 29873, 14035, 504, 16533, 495, 14748, 11590, 496, 21251, 25203, 372, 12571, 490, 4970, 498, 20721, 510, 19404, 491, 14035, 491, 12255, 21211, 7511, 4970, 487, 12916, 491, 454, 12255, 5405, 509, 12571, 482, 15159, 14035, 504, 16533, 495, 5405, 509, 18411, 11133, 17342, 272, 267, 273, 267, 274, 267, 275, 2639, 12248, 815, 476, 271, 454, 1721, 513, 538, 1003, 912, 825, 585, 536, 538, 1003, 912, 1038, 585, 524, 538, 1003, 912, 2018, 952, 513, 11203, 321, 543, 513, 256, 284, 322, 543, 536, 256, 284, 322, 912, 3546, 1293, 6834, 272, 454, 3546, 1820, 3488, 346, 9574, 346, 9574, 24001, 8339, 8971, 5416, 14720, 22698, 4917, 2745, 2891, 13601, 10429, 365, 20069, 260, 323, 14748, 257, 260, 12248, 2020, 18257, 276, 269, 453, 27818, 12916, 379, 17958, 23523, 359, 27064, 363, 25520, 10254, 353, 13161, 511, 24724, 27447, 24662, 4970, 487, 14748, 10533, 368, 12255, 343, 11971, 267, 345, 8147, 13644, 371, 418, 488, 488, 30244, 4970, 487, 14748, 12255, 13200, 365, 16533, 493, 28996, 27962, 27447, 24731, 12486, 18411, 343, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 22047, 12255, 16088, 27328, 344, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 11590, 490, 14748, 12255, 16088, 27328, 345, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 21588, 361, 4970, 487, 14748, 12255, 16088, 27328, 604, 1535, 3436, 586, 912, 825, 1535, 11971, 815, 586, 21726, 454, 604, 1535, 3436, 1990, 281, 280, 454, 825, 1535, 267, 345, 815, 1990, 21726, 454, 604, 586, 3436, 1990, 912, 825, 586, 267, 345, 815, 1990, 11971, 454, 2745, 3287, 11971, 267, 345, 264, 0, 258, 272, 454, 720, 25507, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 7511, 23946, 368, 421, 378, 482, 8442, 2020, 604, 2085, 13843, 1240, 912, 825, 1820, 2891, 12916, 510, 26266, 366, 14756, 493, 29873, 23946, 368, 417, 499, 355, 5602, 12828, 912, 825, 890, 842, 2891, 12916, 510, 13213, 502, 10951, 359, 29873, 23946, 368, 15419, 258, 273, 454, 11133, 272, 815, 476, 1839, 454, 11133, 815, 476, 272, 454, 6112, 16325, 272, 11203, 1003, 273, 2187, 825, 1003, 273, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 12916, 510, 419, 490, 506, 7511, 12255, 21211, 27363, 825, 952, 1003, 272, 285, 11133, 273, 912, 1038, 1820, 3488, 12916, 510, 27447, 24662, 7511, 29219, 16533, 493, 29072, 5073, 825, 8640, 1003, 272, 283, 11133, 273, 912, 1038, 1820, 3488, 12916, 510, 27447, 24662, 7511, 29219, 27962, 29072, 5073, 2745, 3488, 419, 490, 506, 28098, 29072, 262, 9239, 258, 274, 454, 11133, 815, 703, 9272, 2891, 13644, 371, 27447, 24662, 22047, 12255, 21211, 16088, 27363, 604, 1003, 4939, 273, 2652, 271, 912, 825, 952, 1003, 4939, 476, 274, 2652, 271, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 20721, 351, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 18263, 509, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 5602, 825, 3116, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 8147, 21251, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 5602, 12828, 912, 825, 952, 1003, 4939, 476, 274, 2652, 271, 912, 1038, 1820, 2891, 30244, 14748, 12255, 21211, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 8147, 21251, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 5602, 825, 3116, 912, 1038, 1820, 2891, 20721, 351, 21251, 420, 25693, 420, 351, 360, 274, 10533, 368, 30522, 353, 8147, 18263, 509, 21251, 420, 25693, 420, 351, 360, 273, 10533, 368, 30522, 353, 5602, 258, 275, 454, 8999, 284, 271, 454, 320, 284, 272, 454, 6112, 5416, 27045, 1911, 2187, 825, 2040, 284, 8999, 266, 320, 454, 825, 513, 30381, 266, 272, 454, 2745, 4433, 636, 9239, 258, 276, 269, 6112, 23523, 359, 27064, 363, 454, 12248, 284, 271, 692, 6112, 1293, 2999, 476, 276, 912, 825, 1820, 19304, 6262, 870, 1070, 257, 283, 276, 5602, 825, 1293, 815, 1293, 1341, 476, 272, 454, 12828, 912, 825, 1820, 19304, 6262, 870, 11924, 257, 284, 276, 257, 9239, 258, 277, 269, 1721, 23523, 359, 27064, 363, 454, 4289, 272, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 2639, 1721, 1775, 538, 1592, 272, 912, 825, 1820, 9217, 2020, 4289, 273, 815, 1412, 29582, 3698, 326, 7055, 1721, 795, 538, 1592, 273, 912, 825, 1820, 27203, 2020, 1721, 1775, 538, 2039, 263, 276, 2187, 825, 1820, 9217, 2020, 1721, 1775, 538, 2039, 263, 273, 267, 1015, 2187, 825, 1820, 9217, 2020, 1721, 1775, 538, 2039, 263, 271, 267, 1556, 267, 274, 2187, 825, 1820, 9217, 2020, 2745, 17338, 263, 9792, 263, 276, 4297, 2020, 4289, 272, 17342, 272, 267, 273, 267, 274, 267, 273, 2639, 320, 284, 4289, 314, 271, 2639, 1721, 1775, 538, 1592, 272, 912, 825, 952, 1775, 3436, 513, 912, 1038, 513, 284, 328, 454, 2745, 5416, 2020, 4289, 273, 815, 1496, 272, 267, 273, 267, 274, 267, 275, 10086, 320, 3299, 272, 2639, 8999, 284, 271, 454, 1721, 1775, 538, 1592, 273, 912, 825, 952, 568, 27349, 9217, 267, 842, 2187, 1038, 2040, 815, 2040, 1341, 1775, 454, 2745, 4433, 636, 9239, 343, 815, 476, 277, 454, 1721, 1775, 538, 2039, 263, 273, 21726, 2187, 825, 952, 1535, 4939, 1775, 2652, 476, 271, 912, 1038, 1820, 2891, 21251, 15159, 27381, 510, 12255, 5602, 1038, 2736, 454, 12828, 912, 825, 1820, 2891, 15159, 27381, 510, 12255, 15419, 343, 815, 476, 1015, 454, 8999, 815, 476, 271, 454, 1721, 1775, 538, 2039, 263, 273, 21726, 266, 272, 2187, 825, 585, 795, 538, 2039, 263, 273, 267, 328, 2187, 1038, 952, 1775, 4939, 795, 2652, 476, 271, 912, 2018, 2736, 454, 825, 3116, 10778, 1038, 2040, 815, 2040, 266, 272, 454, 2745, 4433, 636, 264, 0, 258, 3698, 1205, 5472, 292, 6123, 4311, 267, 3597, 272, 281, 30741, 267, 3597, 273, 281, 30741, 264, 9847, 5903, 27776, 14158, 258, 14240, 585, 513, 9352, 3529, 6843, 912, 258, 825, 1362, 30741, 912, 258, 1038, 1219, 6449, 8181, 9191, 1345, 21726, 2187, 258, 2018, 1582, 22183, 24210, 454, 258, 2018, 1582, 16000, 22561, 454, 258, 2018, 1582, 16192, 22561, 692, 5035, 8827, 912, 825, 1219, 1205, 5472, 292, 6123, 4311, 267, 3597, 272, 281, 30741, 267, 3597, 273, 281, 30741, 264, 9847, 5903, 27776, 14158, 1038, 561, 17342, 2639, 1038, 1219, 535, 20172, 2187, 2018, 952, 3597, 912, 3546, 561, 6910, 20172, 22183, 994, 3546, 535, 20172, 16192, 994, 3546, 535, 20172, 16000, 994, 1038, 535, 20172, 272, 994, 1038, 535, 20172, 273, 994, 1038, 561, 31699, 4590, 1038, 2132, 561, 692, 3698, 568, 15228, 13240, 4311, 267, 10174, 281, 21698, 11966, 264, 9847, 536, 944, 912, 825, 952, 711, 3597, 912, 1038, 2132, 6936, 692, 825, 1219, 546, 12028, 20172, 2187, 1038, 952, 3597, 16000, 27841, 256, 284, 10174, 16192, 27841, 912, 2018, 2132, 8771, 454, 1038, 952, 711, 3597, 16000, 610, 711, 3597, 16192, 912, 2018, 2132, 8771, 454, 1038, 952, 711, 3597, 16000, 543, 711, 3597, 16192, 912, 2018, 2132, 6936, 692, 1363, 2132, 546, 12028, 20172, 16000, 267, 10174, 16192, 264, 0, 288, 28121, 262, 320, 12887, 321, 12887, 322, 12887, 322, 3299, 272, 8679, 289, 284, 3553, 3488, 320, 13741, 322, 576, 5073, 2745, 10490, 32390, 994, 258, 421, 505, 484, 12571, 486, 7511, 23946, 370, 454, 2745, 10490, 21270, 994, 258, 421, 505, 484, 12571, 486, 7511, 11590, 353, 454, 2745, 10490, 261, 289, 994, 258, 21251, 12571, 490, 28793, 7511, 25060, 483, 12571, 360, 454, 2745, 10490, 317, 289, 994, 258, 421, 505, 484, 12571, 486, 7511, 16141, 354, 454, 2745, 10490, 5174, 994, 258, 421, 505, 484, 12571, 486, 7511, 417, 351, 508, 10254, 510, 454, 288, 14491, 3488, 323, 5073, 289, 269, 26303, 20719, 272, 267, 274, 9574, 314, 275, 267, 273, 3910, 262, 324, 5073, 2745, 10490, 994, 2745, 16360, 994, 258, 10254, 510, 30522, 353, 30317, 27381, 510, 454, 288, 31927, 3488, 320, 5073, 288, 269, 4134, 15258, 3488, 325, 5073, 288, 21014, 10797, 7531, 258, 21211, 10429, 372, 454, 323, 545, 28121, 262, 4067, 9166, 262, 19764, 510, 4970, 487, 12887, 720, 9166, 866, 10086, 25217, 9166, 262, 338, 9822, 262, 8679, 2745, 5560, 545, 994, 258, 32517, 362, 418, 498, 373, 12255, 29004, 362, 454, 323, 545, 9131, 4067, 11172, 8782, 23521, 492, 18713, 505, 7055, 2745, 5560, 545, 994, 258, 418, 509, 354, 19867, 378, 12255, 29004, 362, 454, 323, 545, 10947, 3488, 5417, 816, 5073, 323, 545, 15630, 29239, 3488, 4067, 5073, 2745, 5560, 545, 994, 258, 417, 351, 508, 20693, 510, 12255, 29004, 362, 454, 323, 545, 9131, 5035, 11172, 8782, 13601, 419, 493, 511, 7055, 258, 10254, 510, 30522, 353, 12255, 29004, 362, 454, 23437, 546, 545, 9131 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2063, 1906, 5756, 602, 5230, 4764, 2621, 723, 2799, 2527, 1947, 269, 1284, 1590, 849, 8263, 602, 891, 2621, 786, 3136, 9232, 2863, 559, 519, 1439, 540, 519, 2540, 269, 1879, 17160, 689, 519, 4262, 543, 519, 24654, 2097, 1927, 267, 513, 31685, 568, 17149, 267, 968, 338, 904, 1488, 928, 1488, 985, 267, 7905, 540, 26066, 7177, 693, 519, 2160, 540, 681, 739, 1442, 563, 1432, 1281, 519, 2104, 3180, 538, 4558, 888, 1103, 519, 3476, 2165, 267, 972, 568, 1776, 1212, 9429, 12491, 527, 1464, 602, 649, 782, 1265, 621, 2352, 547, 4952, 269, 898, 568, 519, 1249, 602, 4262, 2157, 786, 3136, 547, 4473, 585, 5553, 607, 519, 5836, 1062, 3217, 513, 1279, 942, 547, 3082, 547, 938, 15911, 10785, 563, 10214, 952, 649, 4383, 547, 3970, 2518, 8337, 547, 476, 272, 269, 276, 5232, 17622, 267, 4262, 2157, 786, 4473, 676, 909, 547, 1614, 7397, 936, 519, 1985, 476, 273, 267, 1822, 1296, 269, 0, 296, 993, 11842, 1018, 568, 519, 3483, 540, 971, 513, 4845, 2807, 4517, 1577, 803, 4688, 721, 930, 8373, 269, 1411, 616, 11613, 1318, 267, 1018, 594, 1767, 568, 1354, 568, 14845, 543, 1018, 594, 2161, 1934, 568, 782, 554, 690, 31683, 267, 865, 5225, 3398, 1250, 3284, 3098, 543, 1175, 11716, 621, 2483, 9989, 621, 948, 547, 12172, 21390, 286, 594, 723, 930, 22027, 563, 4517, 910, 1310, 2542, 519, 2930, 851, 540, 707, 2063, 2022, 594, 993, 7168, 2386, 602, 972, 568, 513, 3765, 24483, 3823, 519, 2165, 834, 1729, 2490, 1055, 8487, 265, 1403, 596, 1224, 1250, 9708, 1586, 596, 786, 5469, 602, 594, 715, 14110, 2207, 723, 1031, 519, 8360, 834, 339, 1248, 1055, 257, 855, 1152, 834, 3553, 966, 284, 271, 257, 1317, 713, 568, 513, 2312, 2165, 602, 3112, 581, 31495, 2181, 1540, 563, 265, 769, 4334, 267, 538, 707, 2022, 1948, 1626, 543, 1948, 736, 596, 616, 1210, 519, 8360, 834, 339, 1248, 1055, 2580, 799, 910, 585, 1250, 6644, 910, 2115, 27792, 563, 265, 1306, 606, 1383, 910, 1577, 803, 10839, 835, 4845, 8659, 538, 707, 2063, 2022, 912, 257, 3719, 875, 1705, 596, 1205, 602, 1507, 5365, 6697, 5547, 602, 3085, 1405, 723, 1022, 9823, 7727, 538, 621, 286, 1635, 7432, 1055, 519, 9823, 7727, 30882, 307, 9506, 1055, 286, 1548, 1281, 713, 1611, 888, 11514, 6618, 286, 22732, 11325, 286, 2598, 762, 286, 5295, 16365, 888, 296, 1589, 267, 4986, 540, 621, 568, 3020, 563, 21156, 267, 519, 546, 322, 1379, 568, 267, 540, 1576, 267, 1031, 585, 12719, 519, 5665, 1448, 1627, 543, 519, 1098, 17238, 766, 575, 332, 630, 6518, 5673, 593, 1627, 1040, 1656, 1310, 713, 814, 1044, 2944, 267, 513, 1507, 1606, 793, 531, 2203, 666, 581, 6537, 799, 3274, 1281, 711, 1397, 519, 546, 322, 3761, 630, 20357, 540, 519, 2470, 540, 519, 1507, 1606, 793, 531, 2203, 1916, 10498, 910, 596, 1289, 713, 513, 834, 1873, 3558, 1055, 27324, 935, 1288, 267, 543, 602, 26141, 519, 2601, 585, 519, 21390, 269, 16393, 333, 319, 339, 596, 4952, 888, 2791, 723, 513, 2603, 540, 1995, 538, 14379, 609, 1004, 689, 824, 630, 12061, 268, 1263, 1501, 6340, 264, 6082, 910, 4769, 319, 339, 596, 1995, 602, 971, 1919, 4755, 689, 942, 547, 942, 888, 11997, 267, 594, 1589, 267, 972, 568, 2731, 1100, 2014, 547, 581, 4401, 1227, 630, 20365, 2063, 4845, 1040, 5502, 267, 621, 26141, 1732, 547, 2491, 707, 6644, 538, 3152, 1469, 910, 3976, 267, 13302, 519, 5506, 540, 21390, 563, 3633, 3951, 281, 1306, 1776, 1383, 585, 519, 10539, 3361, 676, 519, 2165, 834, 339, 1248, 1055, 257, 1413, 693, 6004, 289, 10212, 344, 26141, 2022, 258, 280, 1141, 646, 568, 6998, 952, 834, 4134, 28947, 257, 540, 513, 2707, 568, 4847, 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 ]

[ 2152, 538, 5243, 27109, 713, 2623, 563, 268, 31173, 609, 513, 16943, 568, 1898, 585, 513, 1697, 5868, 543, 2126, 1544, 267, 4180, 519, 1134, 5630, 540, 519, 2915, 563, 3086, 602, 649, 723, 1305, 519, 3942, 267, 1577, 721, 5490, 4514, 883, 519, 10578, 2623, 540, 5243, 6972, 538, 10580, 1354, 789, 1780, 2476, 563, 4692, 710, 10263, 6969, 12280, 281, 4197, 8562, 983, 28073, 454, 4692, 710, 2623, 1354, 2669, 666, 581, 4241, 267, 2523, 950, 621, 2501, 547, 9764, 5322, 269, 2755, 711, 782, 5243, 8858, 713, 2623, 267, 950, 789, 798, 267, 621, 666, 4734, 721, 11842, 1946, 269, 1703, 616, 1585, 4128, 3297, 5243, 6972, 538, 10580, 1354, 789, 1780, 2476, 267, 543, 1620, 891, 24500, 666, 1683, 3407, 4030, 883, 741, 1134, 5630, 563, 3080, 2009, 2601, 585, 5243, 6972, 538, 10580, 1354, 2669, 568, 9636, 610, 11605, 269, 901, 2623, 666, 5815, 5817, 1072, 2152, 602, 949, 581, 4929, 873, 2168, 610, 3929, 9636, 269, 898, 779, 1898, 547, 5431, 741, 4191, 543, 2589, 547, 2327, 789, 4309, 3617, 1416, 543, 3007, 563, 1103, 1840, 547, 9636, 267, 519, 991, 547, 14867, 2933, 666, 849, 1291, 5243, 547, 4497, 538, 9764, 5322, 269, 3807, 899, 3425, 267, 5243, 723, 6211, 2115, 267, 543, 950, 789, 616, 8572, 547, 11886, 873, 267, 621, 666, 2014, 1964, 16531, 543, 989, 2787, 269, 4197, 519, 4276, 1063, 519, 991, 547, 31997, 543, 9764, 3270, 666, 948, 721, 1732, 10146, 713, 2623, 538, 5243, 563, 347, 3725, 3517, 3297, 17268, 19449, 743, 532, 6969, 10426, 532, 589, 3118, 2008, 347, 11514, 1260, 3228, 610, 11605, 1475, 763, 991, 547, 14867, 2933, 1475, 295, 2426, 518, 2008, 347, 28606, 5563, 1475, 1103, 329, 1722, 543, 1928, 1475, 290, 5241, 779, 2068, 2008, 13010, 267, 14000, 666, 3310, 5243, 685, 9764, 5322, 1354, 2669, 269, 1403, 513, 2915, 18387, 1406, 13881, 585, 513, 1247, 267, 789, 949, 8858, 1964, 16531, 607, 741, 1560, 6786, 519, 991, 585, 32351, 269, 901, 4276, 1063, 14000, 543, 4963, 743, 532, 2623, 538, 5243, 8711, 519, 2956, 540, 5870, 741, 9422, 2115, 563, 2005, 779, 4105, 547, 3314, 602, 9764, 5322, 1354, 2669, 666, 849, 581, 22566, 540, 1585, 1072, 2175, 269, 2423, 5563, 267, 5945, 543, 1928, 267, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 2634, 12970, 267, 22578, 1253, 655, 704, 267, 22578, 12110, 267, 8482, 267, 543, 1256, 30442, 16327, 14601, 4524, 666, 782, 581, 7700, 2188, 547, 713, 2623, 269, 4475, 267, 621, 568, 1898, 547, 1491, 513, 11455, 1935, 267, 11287, 824, 4191, 543, 2589, 267, 547, 3313, 952, 972, 616, 1022, 5817, 1072, 2152, 563, 25332, 6326, 9764, 5322, 538, 5243, 1354, 12955, 666, 1683, 3407, 4030, 883, 741, 2168, 543, 3929, 1134, 5630, 269, 898, 779, 1898, 547, 2015, 824, 4191, 543, 2589, 267, 5077, 609, 513, 16943, 267, 543, 2263, 1761, 5817, 1072, 2152, 547, 2327, 741, 2949, 1072, 543, 8788, 269, 5457, 267, 938, 24566, 15274, 7048, 593, 721, 547, 1683, 873, 609, 519, 1416, 543, 3007, 789, 991, 267, 2523, 1282, 741, 3803, 5933, 540, 1272, 563, 1103, 3932, 267, 1247, 711, 782, 5243, 3802, 538, 10580, 1354, 789, 5884, 267, 713, 2623, 666, 723, 1585, 3137, 269, 17268, 949, 5858, 1813, 547, 9636, 267, 519, 991, 547, 14867, 2933, 267, 14000, 267, 610, 5817, 1072, 2175, 269, 1635, 11287, 824, 4191, 543, 2589, 543, 5275, 3318, 5583, 689, 513, 16943, 267, 649, 666, 3313, 519, 2014, 543, 1683, 3617, 1416, 269, 4197, 22578, 2623, 1354, 2669, 267, 3226, 9764, 5322, 267, 2636, 721, 547, 1732, 5660, 938, 10121, 15274, 543, 2327, 741, 1134, 5630, 2394, 519, 1439, 563, 11514, 1260, 3228, 543, 5940, 816, 281, 1133, 16225, 532, 519, 13017, 547, 19449, 743, 532, 10263, 454, 2691, 5243, 3802, 538, 10580, 1354, 789, 5884, 267, 621, 1223, 581, 513, 1129, 540, 9636, 610, 11605, 269, 901, 2623, 666, 581, 22566, 540, 5817, 1072, 2152, 602, 949, 2154, 3007, 543, 1416, 269, 898, 779, 1898, 585, 4620, 5411, 547, 7747, 543, 5431, 519, 4191, 543, 2589, 540, 9636, 610, 11605, 538, 741, 5243, 547, 2327, 741, 1134, 5630, 563, 291, 9233, 949, 8858, 4963, 743, 532, 2623, 1813, 547, 1585, 4128, 267, 971, 607, 1274, 5563, 267, 5945, 543, 1928, 267, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 2634, 12970, 267, 22578, 1253, 655, 704, 267, 22578, 12110, 267, 8482, 267, 543, 30442, 16327, 14601, 4524, 269, 1452, 2175, 666, 2014, 9636, 610, 11605, 267, 3056, 5243, 547, 3802, 538, 10580, 607, 606, 3801, 547, 1265, 8323, 610, 13468, 741, 9636, 563, 25332, 6326, 824, 4191, 543, 2589, 538, 1840, 547, 4963, 743, 532, 2623, 666, 1683, 3407, 4030, 883, 513, 2915, 779, 1072, 269, 15448, 538, 14031, 267, 1648, 2157, 267, 2623, 267, 610, 2168, 5920, 1058, 711, 581, 16053, 267, 607, 789, 949, 5815, 5817, 1072, 2152, 269, 31173, 609, 513, 16943, 568, 2629, 585, 606, 4977, 5868, 543, 3617, 2126, 1544, 563, 347, 28606, 5563, 1475, 23175, 24373, 267, 30392, 532, 693, 10772, 267, 11166, 2008, 347, 1103, 329, 1722, 543, 1928, 1475, 21918, 4771, 267, 19385, 766, 547, 1847, 267, 8417, 547, 5905, 2008, 18871, 5241, 779, 2068, 1475, 19102, 1078, 19818, 267, 7928, 30614, 267, 2597, 2744, 267, 6094, 2960, 2008, 347, 10468, 30950, 2670, 1475, 15404, 2193, 8467, 267, 26900, 267, 2530, 540, 11558, 2008, 3528, 9301, 519, 3095, 1063, 9636, 610, 11605, 543, 4963, 743, 532, 2623, 267, 4620, 5411, 666, 1491, 14942, 3800, 547, 2327, 741, 2915, 779, 1134, 5630, 269, 8617, 18915, 2638, 13522, 543, 5401, 3007, 547, 1022, 7282, 2589, 666, 948, 2697, 543, 2232, 1761, 1072, 2152, 267, 3246, 5243, 609, 519, 1416, 789, 991, 547, 2661, 6126, 543, 6899, 2729, 563, 26903, 779, 11910, 281, 634, 10261, 547, 7313, 641, 543, 8562, 983, 18963, 454, 3080, 2009, 2601, 1946, 5243, 3802, 538, 10580, 1354, 789, 5884, 568, 741, 2067, 15859, 547, 1265, 513, 5078, 5544, 585, 17594, 269, 901, 2623, 666, 581, 4767, 538, 1312, 30042, 5243, 543, 741, 3552, 13413, 269, 17268, 723, 513, 16994, 2631, 540, 9329, 543, 616, 1634, 547, 581, 3728, 573, 1190, 7068, 950, 621, 2501, 547, 741, 13125, 1154, 6208, 269, 1635, 4963, 743, 532, 1354, 789, 9004, 267, 5243, 616, 2111, 547, 5402, 2708, 519, 1604, 267, 3313, 952, 621, 568, 2922, 543, 5078, 267, 543, 1665, 741, 8513, 563, 6097, 547, 16943, 3220, 269, 13191, 14355, 267, 968, 291, 9233, 723, 7960, 547, 581, 3810, 15859, 783, 2831, 267, 543, 741, 4963, 743, 532, 2623, 1354, 17594, 568, 12082, 538, 741, 18577, 22871, 269, 769, 519, 3552, 267, 4963, 743, 532, 2636, 873, 547, 1711, 513, 6870, 1858, 585, 2933, 543, 2061, 1761, 11975, 689, 16326, 543, 9477, 741, 20416, 3034, 1103, 1840, 547, 16287, 741, 8513, 267, 4963, 743, 532, 1354, 17594, 849, 2337, 5243, 1205, 883, 513, 6899, 2990, 269, 1635, 6972, 538, 10580, 267, 789, 616, 2111, 547, 1265, 519, 3501, 5544, 543, 5086, 547, 14867, 2933, 269, 901, 2623, 568, 3226, 18476, 538, 5243, 602, 723, 10688, 2152, 610, 616, 7680, 1928, 1813, 547, 1072, 2175, 563, 347, 3725, 3517, 585, 19449, 743, 532, 10263, 1475, 14300, 540, 2657, 17148, 2008, 347, 1103, 329, 1722, 543, 1928, 1475, 293, 847, 999, 267, 838, 23230, 267, 12263, 2008, 347, 28606, 5563, 1475, 302, 339, 4345, 608, 1181, 320, 267, 1647, 1274, 3968, 2008, 21270, 1778, 6553, 1475, 292, 1338, 13921, 4345, 267, 23971, 4345, 2008, 2005, 779, 1271, 547, 4063, 602, 1247, 4963, 743, 532, 1354, 17594, 568, 513, 1455, 2623, 538, 5243, 267, 621, 1281, 711, 8209, 5815, 602, 513, 2915, 568, 683, 2130, 519, 1439, 540, 922, 1272, 269, 1306, 3220, 269, 14355, 6941, 267, 968, 290, 597, 743, 532, 666, 581, 513, 3339, 543, 2635, 2623, 538, 5243, 269, 1717, 267, 952, 621, 568, 10483, 676, 824, 7282, 2589, 267, 971, 607, 29723, 1173, 344, 267, 2530, 540, 14031, 267, 610, 7411, 6972, 267, 621, 779, 1898, 547, 5077, 609, 513, 16943, 547, 4341, 856, 1022, 5817, 1072, 2152, 3034, 2108, 3528, 1620, 519, 2067, 2623, 540, 5243, 543, 1373, 21713, 538, 11287, 1022, 2242, 610, 17244, 267, 649, 666, 2327, 741, 1134, 5630, 543, 1683, 3617, 1416, 3034, 268, 17268, 3802, 538, 10580, 1354, 789, 5884, 585, 1585, 4128, 267, 1519, 4466, 513, 5078, 5544, 585, 17594, 563, 268, 901, 2623, 568, 12082, 538, 741, 15859, 547, 1665, 741, 8513, 543, 2327, 741, 3106, 563, 268, 19449, 743, 532, 666, 849, 948, 5243, 1205, 883, 513, 6899, 2990, 585, 17594, 267, 2523, 952, 789, 723, 10688, 2152, 610, 616, 538, 1928, 563, 268, 1403, 4963, 743, 532, 2623, 568, 10483, 676, 824, 7282, 2589, 267, 621, 568, 1271, 547, 5077, 609, 513, 16943, 547, 4341, 856, 1022, 5817, 1072, 2152, 563, 295, 2426, 518, 623, 1622, 281, 1215, 2506, 27679, 853, 6729, 338, 2052, 21478, 8562, 983, 28073, 454, 295, 2426, 518, 666, 1404, 513, 1713, 1909, 538, 513, 2915, 779, 2623, 1354, 2669, 267, 3056, 547, 9764, 5322, 269, 1879, 513, 2915, 779, 7181, 568, 8900, 267, 789, 949, 1831, 1964, 1652, 543, 8858, 16625, 5615, 971, 607, 6972, 538, 10580, 269, 901, 2623, 568, 5156, 547, 581, 606, 15859, 783, 3210, 547, 14000, 267, 607, 5243, 538, 519, 3552, 1131, 1419, 1847, 538, 9764, 3270, 1247, 10478, 585, 1426, 563, 2005, 568, 1271, 585, 2915, 5411, 547, 1174, 602, 14000, 5829, 4963, 743, 532, 2623, 568, 711, 9003, 606, 16315, 540, 31587, 2669, 269, 17268, 949, 8858, 713, 2623, 950, 789, 616, 17237, 610, 7680, 513, 12675, 1974, 1510, 1426, 269, 21278, 2834, 267, 7059, 6980, 543, 4180, 513, 2915, 779, 9422, 2115, 616, 1558, 666, 948, 13468, 14000, 5829, 5615, 563, 4913, 267, 621, 568, 1898, 547, 4063, 602, 4963, 743, 532, 4805, 949, 711, 581, 519, 1152, 1129, 540, 14000, 538, 5243, 269, 4033, 2589, 267, 971, 607, 7050, 13047, 1436, 267, 2799, 1426, 5275, 2623, 267, 610, 2597, 2530, 267, 949, 13173, 14000, 5829, 4963, 743, 532, 269, 4475, 267, 621, 568, 2629, 547, 7747, 824, 4191, 543, 2589, 538, 14966, 609, 4963, 743, 532, 2623, 547, 3313, 952, 972, 616, 1022, 5817, 1072, 2152, 563, 347, 29819, 543, 12580, 1475, 303, 6372, 7201, 2391, 2657, 12983, 2008, 347, 2750, 947, 633, 13047, 1436, 1475, 303, 664, 267, 9636, 267, 610, 5042, 7771, 2008, 347, 19102, 1078, 1426, 5275, 2623, 1475, 295, 2426, 518, 267, 16063, 2152, 2008, 347, 26574, 2530, 1475, 303, 3233, 6484, 267, 5817, 2564, 2175, 2008, 2252, 596, 5469, 1022, 7282, 2589, 610, 2242, 538, 707, 2915, 779, 2623, 267, 621, 568, 1271, 547, 5077, 609, 513, 16943, 585, 513, 1697, 5868, 543, 2126, 1544, 269, 589, 16943, 786, 581, 2111, 547, 2708, 707, 2915, 779, 2949, 1072, 543, 1683, 3617, 5583, 547, 2232, 1022, 5817, 2152, 7700, 547, 14000, 5829, 4963, 743, 532, 2623, 269, 5457, 267, 513, 1134, 5991, 712, 1639, 543, 2635, 2915, 568, 811, 2693, 547, 8858, 7059, 2623, 543, 8853, 563, 10890, 17148, 543, 4256, 8177, 593, 19449, 743, 532, 10263, 454, 15703, 5817, 1072, 2175, 666, 3565, 547, 513, 2915, 779, 4963, 743, 532, 2623, 1354, 789, 5884, 269, 1452, 2175, 666, 2039, 689, 1274, 5563, 547, 811, 3978, 2152, 899, 2634, 12970, 610, 22578, 1253, 655, 704, 269, 898, 568, 1271, 547, 4063, 602, 711, 782, 5243, 945, 3802, 538, 10580, 1354, 2669, 723, 606, 5817, 1072, 2783, 267, 855, 621, 568, 4502, 6236, 607, 513, 7872, 563, 3080, 1455, 1072, 3390, 602, 666, 2014, 4963, 743, 532, 2623, 568, 1274, 5563, 269, 1452, 666, 581, 11213, 543, 13943, 585, 5243, 267, 3056, 873, 547, 8858, 9402, 5615, 971, 607, 6972, 538, 10580, 269, 769, 1840, 267, 7063, 610, 1928, 538, 824, 2694, 540, 519, 1560, 666, 849, 1267, 538, 4963, 743, 532, 2623, 607, 519, 2915, 13290, 547, 11883, 609, 519, 9636, 563, 5415, 3978, 2175, 899, 595, 5241, 779, 2068, 267, 683, 30950, 2670, 267, 2634, 6553, 267, 610, 12970, 666, 849, 1860, 513, 2915, 779, 2623, 267, 1519, 4963, 743, 532, 269, 1452, 2175, 1419, 7519, 519, 3339, 8647, 540, 519, 2634, 543, 8401, 1062, 267, 3056, 547, 9402, 5322, 543, 5615, 563, 347, 10890, 16448, 1475, 303, 6372, 8177, 593, 19449, 743, 532, 10263, 2008, 347, 28606, 32035, 1475, 4692, 2014, 1928, 543, 9636 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 293, 756, 516, 267, 12192, 645, 267, 700, 1393, 514, 267, 12192, 661, 267, 13804, 10901, 454, 290, 1941, 568, 2922, 585, 4616, 1282, 6379, 269, 898, 2337, 2061, 9025, 2068, 267, 19228, 267, 543, 2523, 25242, 4816, 781, 2634, 1646, 269, 898, 568, 849, 1434, 585, 707, 543, 4816, 781, 2960, 563, 5475, 4758, 4332, 267, 596, 666, 3136, 547, 1331, 8970, 538, 707, 2732, 269, 898, 666, 948, 609, 602, 711, 528, 13124, 2182, 1101, 15108, 3350, 543, 2087, 3965, 543, 5075, 563, 2252, 596, 2811, 20418, 267, 1039, 930, 8970, 547, 707, 2732, 547, 2087, 707, 9667, 1072, 267, 2061, 9025, 543, 6147, 15842, 341, 6018, 3676, 267, 543, 1683, 1648, 585, 596, 547, 3136, 8808, 563, 7312, 4816, 666, 3548, 8970, 607, 2038, 607, 950, 646, 24172, 568, 476, 277, 3275, 2025, 269, 634, 5567, 538, 8970, 666, 2087, 4816, 781, 3308, 1646, 543, 12046, 269, 4425, 559, 1134, 2394, 519, 737, 1716, 1564, 616, 2571, 547, 1118, 621, 4443, 585, 4816, 547, 3548, 269, 0, 288, 2754, 20483, 676, 28541, 9503, 779, 1034, 3532, 9520, 267, 1519, 519, 21912, 1103, 1071, 1922, 10133, 1234, 573, 32129, 2006, 543, 519, 14679, 24041, 16205, 27055, 612, 523, 267, 19632, 513, 2244, 10504, 3544, 5842, 12770, 543, 9307, 513, 12050, 5075, 547, 1628, 513, 6216, 20642, 2749, 2443, 543, 729, 5612, 5641, 580, 730, 676, 519, 1158, 779, 4683, 1235, 563, 290, 761, 923, 4766, 519, 4674, 676, 519, 2754, 267, 4469, 534, 1676, 344, 4889, 919, 267, 607, 26846, 538, 4683, 1143, 779, 7802, 602, 1131, 1711, 606, 2825, 9568, 538, 519, 1106, 540, 513, 6071, 862, 17458, 1016, 7875, 269, 1306, 811, 3877, 10836, 827, 519, 30299, 12485, 1031, 1996, 2199, 2244, 14935, 267, 519, 1788, 5526, 5051, 2693, 547, 546, 3497, 538, 922, 15888, 685, 13398, 5142, 269, 1809, 9944, 4469, 534, 1676, 344, 4889, 919, 685, 7213, 6819, 9073, 3788, 606, 1271, 2856, 281, 634, 7345, 9351, 2115, 513, 2603, 811, 8027, 267, 543, 649, 949, 991, 27352, 3710, 4872, 547, 1205, 972, 563, 2467, 568, 4986, 1007, 827, 4872, 3710, 676, 9520, 543, 14078, 269, 9919, 30503, 1674, 267, 4469, 320, 1421, 729, 2919, 676, 519, 32240, 18557, 7577, 543, 2882, 5656, 689, 11265, 23766, 899, 17722, 9652, 543, 7917, 589, 8160, 269, 590, 1181, 269, 630, 11514, 2284, 814, 4421, 1055, 1034, 540, 922, 3180, 902, 4700, 3502, 2484, 689, 1530, 9567, 267, 519, 14576, 4777, 4139, 6355, 10588, 729, 2919, 676, 513, 931, 24832, 540, 1483, 10040, 9367, 282, 621, 568, 9709, 1472, 513, 1079, 30026, 28902, 10357, 7888, 267, 1164, 24289, 25708, 602, 568, 5921, 547, 2777, 936, 476, 2568, 267, 1822, 1004, 563, 2467, 568, 849, 1100, 4341, 602, 4872, 9709, 676, 6608, 616, 25432, 9120, 269, 769, 476, 4489, 271, 519, 25650, 540, 22768, 267, 31550, 10067, 944, 267, 9896, 3013, 779, 1101, 7292, 1990, 11238, 3921, 12099, 267, 12799, 536, 18732, 4563, 4892, 689, 3001, 883, 5354, 22554, 2749, 7161, 267, 6028, 519, 2749, 5409, 572, 326, 27935, 585, 5756, 269, 4438, 519, 476, 3422, 271, 338, 267, 519, 1164, 21226, 1665, 540, 7292, 17478, 267, 513, 4357, 17354, 3957, 6276, 681, 1787, 9709, 606, 7471, 2749, 538, 7404, 12052, 267, 631, 323, 269, 12052, 568, 711, 3501, 267, 855, 621, 3788, 7292, 569, 3309, 267, 543, 2687, 547, 1239, 689, 519, 31621, 25304, 267, 621, 1281, 27723, 1732, 982, 7404, 22768, 693, 5009, 16057, 10688, 585, 4563, 1977, 1453, 563, 5194, 9709, 2146, 267, 519, 8381, 4133, 538, 7147, 267, 729, 4535, 856, 540, 519, 12052, 1995, 269, 898, 3091, 513, 3532, 1383, 540, 875, 513, 27352, 22885, 2749, 666, 1683, 513, 1390, 4308, 540, 1857, 1434, 563, 24730, 623, 5139, 5362, 27508, 267, 513, 22082, 16073, 540, 2067, 3154, 267, 729, 6273, 547, 1711, 519, 2146, 1310, 11504, 513, 1623, 24007, 18799, 676, 12052, 779, 9367, 269, 1261, 21534, 1082, 540, 6004, 269, 681, 1787, 779, 5449, 5520, 543, 1256, 21534, 513, 1733, 691, 517, 2389, 11712, 13162, 534, 14012, 547, 948, 1683, 3617, 1489, 585, 1514, 267, 3226, 3909, 267, 2238, 563, 2005, 3576, 476, 2412, 1296, 585, 519, 2551, 540, 519, 8381, 4133, 547, 1332, 689, 476, 279, 267, 6110, 630, 514, 476, 2735, 271, 264, 547, 476, 14625, 267, 1822, 630, 514, 476, 1708, 271, 1040, 1809, 9639, 6976, 1055, 281, 634, 3506, 8573, 21403, 3896, 18990, 8638, 621, 607, 835, 540, 519, 1655, 772, 2529, 269, 4872, 547, 2661, 538, 563, 9213, 267, 609, 11667, 8027, 2418, 540, 1269, 27174, 267, 6110, 543, 11667, 14407, 10865, 10519, 540, 1269, 272, 267, 278, 2537, 267, 519, 1646, 568, 1100, 3476, 519, 20476, 664, 602, 621, 2899, 729, 269, 12846, 267, 519, 5777, 616, 513, 1129, 602, 1004, 899, 621, 269, 1656, 1247, 519, 8381, 4133, 1281, 711, 2671, 12052, 779, 1686, 540, 7292, 7862, 267, 476, 866, 2600, 540, 922, 10820, 616, 17104, 267, 543, 519, 31621, 25304, 2982, 602, 16057, 10688, 585, 1970, 268, 543, 1647, 13867, 17104, 1453, 568, 2362, 972, 982, 538, 1034, 540, 20279, 563, 291, 1263, 2473, 807, 14563, 20582, 3624, 779, 1847, 547, 1863, 13055, 676, 6031, 602, 968, 527, 3085, 1406, 2339, 2436, 513, 3032, 568, 3109, 610, 3043, 267, 607, 1279, 607, 621, 29598, 8983, 1848, 634, 4993, 4528, 1058, 581, 602, 621, 3085, 1406, 2339, 952, 519, 17354, 568, 4357, 610, 1857, 267, 607, 1279, 607, 621, 13976, 519, 8027, 602, 519, 1533, 2115, 547, 1831, 811, 10097, 269, 4634, 952, 891, 1131, 15515, 2749, 26767, 1118, 10935, 2903, 338, 540, 9073, 267, 3478, 9170, 2673, 547, 519, 3853, 540, 4469, 534, 1676, 344, 4889, 919, 547, 2777, 476, 6110, 267, 1822, 1004, 2443, 909, 547, 476, 276, 2600, 540, 519, 7345, 9351, 779, 1699, 2551, 2443, 1131, 3648, 948, 1118, 519, 3148, 811, 10097, 543, 8537, 563, 19465, 538, 519, 7345, 9351, 786, 5512, 3013, 547, 3136, 922, 1686, 540, 3850, 1004, 547, 882, 11229, 547, 811, 11327, 4025, 269, 769, 519, 2038, 5756, 540, 519, 476, 866, 628, 2540, 267, 6705, 2451, 519, 22586, 3037, 540, 519, 5101, 585, 1732, 3484, 1633, 538, 519, 29268, 269, 589, 2540, 2663, 267, 6634, 540, 1004, 2451, 6683, 3297, 538, 3870, 540, 1256, 811, 15417, 2804, 2666, 281, 4872, 269, 901, 5458, 5912, 729, 2009, 1152, 1317, 4872, 3710, 5318, 9424, 540, 8027, 269, 769, 519, 476, 4572, 271, 338, 4805, 267, 1715, 3840, 4975, 3773, 476, 10384, 267, 1822, 4559, 269, 769, 2487, 5756, 1977, 2208, 814, 6410, 547, 519, 6129, 25028, 267, 543, 1004, 616, 2469, 972, 711, 1175, 585, 519, 8799, 4365, 269, 1306, 8828, 4872, 899, 20279, 543, 24611, 1628, 2614, 8027, 547, 1832, 5777, 1970, 267, 789, 616, 521, 13023, 11238, 2551, 2476, 689, 519, 1630, 4040, 1558, 4592, 540, 9811, 6670, 792, 563, 9213, 267, 4993, 568, 835, 540, 519, 1034, 11327, 4025, 538, 519, 2197, 267, 855, 621, 3085, 1406, 1577, 1004, 538, 1317, 21427, 23125, 856, 875, 547, 3625, 1007, 4070, 267, 799, 24864, 5777, 909, 543, 7607, 1524, 269, 4518, 676, 26284, 6874, 2967, 670, 338, 773, 327, 543, 2037, 878, 334, 2859, 26152, 1336, 602, 3908, 1569, 547, 3013, 779, 1034, 11327, 4025, 968, 869, 1229, 14919, 772, 2529, 269, 2208, 676, 476, 3607, 2600, 689, 476, 3422, 275, 547, 476, 1220, 280, 3034, 10214, 1498, 17837, 547, 1646, 538, 9381, 4993, 1419, 3490, 741, 7440, 593, 2825, 12406, 267, 2679, 972, 568, 835, 540, 519, 1655, 1919, 602, 3013, 1223, 581, 3257, 547, 4831, 2518, 8337, 269, 2290, 540, 721, 267, 7905, 3794, 320, 525, 518, 267, 543, 513, 2160, 540, 8828, 4993, 2825, 30168, 267, 15623, 918, 23167, 267, 7229, 602, 9381, 4993, 729, 3362, 519, 2547, 3327, 25673, 851, 540, 519, 2197, 1317, 540, 922, 7646, 2916, 563, 763, 4469, 534, 1676, 344, 4889, 919, 4674, 547, 1628, 538, 3752, 8457, 6019, 267, 827, 476, 2568, 5195, 22583, 540, 5842, 12770, 267, 8188, 2101, 9465, 602, 723, 1044, 31903, 676, 519, 1895, 779, 818, 5766, 766, 269, 634, 811, 982, 476, 2004, 267, 1822, 14143, 540, 2244, 519, 14679, 814, 5833, 568, 711, 1990, 19861, 585, 10821, 946, 269, 27116, 1005, 22257, 13170, 547, 1205, 519, 1788, 1055, 519, 2666, 786, 2154, 2484, 811, 6791, 538, 519, 25029, 540, 9111, 982, 568, 3335, 1336, 538, 28541, 9503, 269, 1306, 519, 2754, 22851, 538, 18979, 3656, 12959, 609, 2199, 2244, 14935, 267, 945, 934, 2224, 621, 540, 2178, 268, 9879, 873, 543, 7432, 1920, 2818, 1996, 835, 1776, 538, 519, 2012, 540, 4028, 2244, 11601, 267, 621, 5526, 602, 519, 1788, 568, 9813, 908, 3294, 689, 519, 1360, 16167, 621, 1131, 991, 547, 8011, 563, 30949, 2679, 814, 2356, 1044, 513, 10319, 26035, 602, 3340, 22371, 543, 29263, 593, 513, 554, 633, 540, 13007, 269, 9453, 7011, 1782, 513, 2647, 543, 11215, 2146, 267, 4469, 534, 1676, 344, 4889, 919, 568, 593, 519, 1259, 547, 7092, 519, 1482, 12556, 607, 17121, 19769, 6997, 338, 267, 606, 22843, 2754, 602, 8959, 547, 1628, 513, 13777, 22618, 2749, 538, 17842, 563, 11101, 267, 513, 2749, 3710, 676, 28541, 9503, 544, 690, 6160, 786, 8011, 1152, 952, 621, 12662, 1004, 1354, 5656, 269, 1703, 616, 2749, 20671, 9988, 267, 899, 519, 8381, 4133, 267, 602, 723, 2919, 519, 1514, 6091, 547, 1711, 2146, 267, 855, 789, 1810, 1406, 10836, 16074, 563, 3719, 1256, 952, 4469, 534, 1676, 344, 4889, 919, 7475, 909, 538, 5821, 267, 649, 12582, 1406, 7340, 602, 4357, 3946, 723, 3710, 1390, 4872, 269, 634, 8381, 4133, 2982, 721, 602, 1489, 689, 4357, 3854, 666, 1404, 513, 11327, 1909, 538, 2870, 2950, 269, 3752, 8457, 6019, 568, 2673, 2614, 547, 5842, 12770, 602, 519, 1858, 666, 25006, 4228, 519, 8027, 6006, 538, 519, 3148, 563, 294, 1516, 621, 513, 2119, 568, 1732, 982, 519, 4567, 28943, 269, 2913, 779, 711, 12235, 519, 4816, 856, 609, 519, 8602, 1216, 269, 0, 21413, 15298, 30843, 267, 10408, 1239, 666, 1152, 581, 10299, 936, 835, 4908, 3625, 693, 513, 942, 269, 2961, 8175, 30843, 2636, 1239, 4483, 547, 2049, 936, 2789, 4908, 7161, 8195, 563, 2791, 666, 1589, 540, 621, 676, 21658, 609, 11423, 513, 19943, 609, 1216, 269, 589, 19943, 1373, 4904, 676, 2789, 554, 4680, 786, 6445, 5488, 982, 513, 19943, 1373, 4904, 676, 513, 2582, 25652, 563, 10111, 8175, 30843, 568, 1152, 2009, 950, 1312, 513, 10408, 3060, 543, 513, 3926, 593, 519, 3060, 1489, 621, 269, 7324, 11436, 602, 1489, 15298, 30843, 267, 972, 666, 581, 3604, 538, 875, 1082, 4908, 7161, 666, 581, 5916, 563, 15152, 519, 1699, 700, 15288, 16551, 267, 513, 5021, 540, 2947, 4908, 7161, 949, 581, 5916, 998, 15298, 30843, 269, 0, 1103, 513, 14262, 4090, 1282, 6792, 779, 22305, 1116, 1930, 18322, 1308, 6217, 593, 1133, 30009, 674, 2391, 27014, 630, 308, 293, 11675, 1070, 1079, 544, 17026, 1881, 3788, 267, 16143, 547, 581, 540, 31373, 14111, 5169, 267, 941, 30792, 269, 1452, 824, 16447, 569, 15013, 941, 11552, 691, 1117, 538, 18475, 1394, 538, 476, 1001, 278, 543, 723, 536, 3530, 1194, 4966, 2479, 2094, 269, 2060, 4703, 6580, 1394, 476, 10384, 543, 476, 5197, 271, 1296, 267, 1630, 8463, 1614, 1922, 532, 1229, 3946, 543, 28608, 15693, 338, 267, 741, 15116, 4162, 723, 2451, 519, 1158, 538, 25713, 269, 1809, 5310, 519, 1034, 27314, 13414, 540, 782, 281, 5027, 2079, 814, 17046, 569, 11943, 602, 891, 7919, 616, 711, 540, 1480, 16350, 269, 769, 713, 4760, 2065, 3408, 267, 649, 5490, 883, 519, 3877, 540, 713, 9058, 2680, 543, 922, 1761, 1764, 593, 6792, 779, 5794, 16470, 2920, 563, 763, 27405, 1190, 631, 27186, 912, 763, 1079, 544, 17026, 1881, 9988, 267, 799, 723, 1631, 1831, 519, 4099, 540, 2518, 3007, 267, 941, 4362, 538, 519, 25545, 8916, 540, 18475, 269, 634, 1101, 540, 519, 6292, 568, 6059, 547, 581, 1472, 476, 10384, 1296, 2025, 267, 1247, 922, 13959, 7389, 1394, 513, 31417, 476, 5197, 271, 1296, 269, 1548, 5036, 873, 6306, 689, 4376, 3116, 593, 3047, 616, 741, 1614, 1922, 532, 1229, 3946, 543, 28608, 15693, 338, 267, 4162, 602, 1219, 344, 519, 8155, 540, 1480, 7350, 269, 1452, 15116, 2934, 723, 5337, 1243, 7920, 7521, 1369, 519, 3621, 2146, 267, 609, 930, 1179, 6819, 602, 891, 7919, 949, 8197, 581, 540, 31373, 14111, 5169, 563, 4462, 792, 2251, 1325, 1329, 5027, 912, 3080, 540, 519, 1034, 4230, 15929 ]

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

[ 260, 667, 309, 1070, 476, 271, 269, 3607, 8406, 540, 4401, 630, 273, 260, 667, 309, 1070, 476, 3953, 269, 272, 8406, 540, 11379, 630, 271, 269, 6924, 260, 667, 309, 1070, 543, 476, 271, 269, 2190, 8406, 540, 9770, 630, 4785, 6395, 5253, 10574, 6239, 267, 476, 276, 268, 272, 268, 2537, 282, 22340, 5253, 10574, 6239, 267, 476, 276, 268, 272, 268, 2537, 321, 1070, 2059, 609, 1507, 5666, 540, 7513, 267, 13101, 267, 543, 645, 8324, 630, 294, 17924, 714, 328, 267, 4165, 9171, 1218, 630, 15368, 601, 264, 476, 1708, 274, 1916, 289, 2465, 14947, 568, 15469, 585, 3875, 1072, 2175, 267, 971, 607, 5885, 4761, 1072, 267, 20993, 1648, 267, 4227, 8501, 267, 20993, 6797, 1599, 267, 4227, 6553, 267, 4227, 12119, 11959, 267, 543, 5009, 1131, 7067, 267, 855, 972, 616, 1360, 1906, 4791, 2090, 10442, 13520, 14947, 585, 891, 2175, 269, 6178, 538, 607, 513, 4759, 585, 3877, 267, 1519, 2436, 4791, 2090, 1489, 946, 540, 13520, 14947, 585, 1022, 540, 891, 2175, 267, 2009, 2427, 2360, 971, 607, 14711, 267, 3075, 4205, 540, 13520, 14947, 267, 543, 1942, 563, 18794, 2221, 547, 12260, 782, 4759, 2640, 1519, 2407, 1569, 547, 782, 14160, 12226, 543, 936, 476, 272, 267, 6110, 8039, 12282, 7765, 3767, 454, 2704, 2819, 513, 4759, 286, 6178, 769, 3371, 563, 18794, 1631, 693, 8940, 269, 4621, 10179, 18350, 2593, 10768, 7765, 13045, 8138, 2466, 707, 6085, 454, 1607, 4183, 568, 11658, 547, 3742, 2818, 563, 18794, 1631, 547, 1039, 8292, 543, 1205, 782, 4759, 2640, 267, 1519, 936, 476, 272, 267, 6110, 8039, 12282, 7765, 3767, 454, 2704, 2819, 513, 4759, 286, 6178, 538, 1934, 563, 13070, 872, 547, 19410, 16301, 454, 8923, 705, 728, 676, 519, 1739, 912, 2690, 707, 7834, 267, 1152, 707, 1101, 2012, 630, 5228, 707, 2272, 264, 4553, 676, 513, 4351, 1297, 786, 2408, 609, 707, 6085, 269, 2659, 2063, 2012, 543, 4757, 2232, 786, 711, 581, 10268, 563, 7312, 6085, 814, 1044, 11643, 454, 2171, 786, 2689, 707, 6085, 1354, 621, 568, 11540, 269, 0, 1692, 1454, 942, 798, 596, 1589, 519, 3328, 918, 1700, 274, 2875, 22939, 1565, 827, 2257, 286, 774, 8812, 3764, 513, 1554, 286, 1323, 5662, 513, 1554, 286, 4270, 267, 2687, 547, 519, 476, 1001, 279, 2817, 11752, 540, 3163, 543, 9119, 4065, 267, 918, 1700, 274, 1053, 6170, 606, 3328, 540, 476, 8660, 3764, 4974, 661, 6369, 267, 476, 6872, 3764, 1565, 2979, 267, 543, 513, 1295, 4593, 2544, 476, 1240, 3764, 513, 1554, 593, 2257, 269, 1452, 2338, 5749, 1406, 1932, 9670, 950, 596, 2015, 602, 2542, 543, 2979, 616, 1164, 14422, 538, 2038, 9344, 269, 1717, 267, 950, 7855, 3111, 547, 1118, 4055, 585, 2257, 538, 741, 4245, 267, 1053, 666, 1869, 6336, 856, 593, 1898, 2208, 563, 16631, 568, 1454, 811, 982, 20803, 10785, 610, 8357, 1944, 519, 13350, 2609, 269, 2311, 922, 2295, 267, 2257, 568, 827, 26378, 883, 513, 2875, 779, 17916, 7279, 543, 5876, 1247, 5807, 741, 2565, 3206, 1983, 269, 898, 7512, 873, 547, 2307, 1271, 2055, 543, 3605, 4267, 676, 5402, 6313, 741, 10450, 563, 11693, 519, 11212, 14095, 1153, 1554, 8430, 267, 4466, 4055, 585, 2257, 786, 1491, 811, 982, 513, 2370, 8112, 543, 3860, 3206, 269, 3371, 616, 1175, 513, 1906, 2200, 543, 2994, 602, 3610, 666, 2322, 883, 2259, 1318, 2476, 912, 272, 269, 6056, 476, 1428, 281, 11334, 666, 1376, 676, 2502, 1053, 538, 2238, 602, 786, 4734, 873, 4743, 12913, 543, 1521, 873, 899, 1483, 3744, 267, 782, 538, 1152, 476, 1428, 3764, 610, 1447, 269, 1452, 666, 1331, 13241, 2591, 899, 513, 18899, 2196, 610, 513, 3556, 13486, 4161, 269, 15439, 1683, 1053, 609, 7727, 267, 7355, 267, 543, 10148, 543, 1287, 4161, 873, 547, 2743, 513, 1808, 3804, 269, 3958, 267, 3610, 666, 1491, 1919, 513, 1900, 2417, 609, 769, 11431, 538, 11059, 4245, 269, 1452, 1863, 2200, 616, 2966, 547, 4497, 1053, 543, 1205, 873, 3206, 7184, 827, 741, 1888, 269, 7454, 540, 782, 267, 519, 4245, 1491, 9170, 689, 476, 1428, 268, 1789, 3764, 543, 609, 2370, 547, 1100, 3341, 585, 519, 4116, 563, 273, 269, 6056, 9177, 281, 2422, 713, 14292, 2203, 547, 7618, 707, 1053, 602, 891, 968, 7809, 892, 1983, 616, 1175, 607, 1271, 607, 519, 2257, 267, 2979, 267, 661, 6369, 267, 543, 1514, 2090, 1543, 789, 1451, 269, 634, 28787, 267, 15845, 267, 25705, 3898, 568, 513, 1390, 1259, 547, 3895, 2565, 3206, 267, 1582, 1673, 3925, 267, 543, 16177, 269, 4841, 1058, 2626, 513, 2243, 5693, 538, 741, 28787, 269, 3973, 789, 1058, 946, 15845, 630, 534, 3315, 7458, 1239, 264, 547, 1489, 741, 3409, 269, 4841, 1058, 9096, 676, 3246, 25705, 630, 534, 4661, 264, 607, 547, 1946, 519, 2963, 7028, 519, 3409, 269, 595, 2207, 338, 666, 581, 1031, 538, 1022, 1543, 1858, 1141, 1053, 991, 547, 1489, 513, 3409, 609, 3280, 2963, 543, 7744, 269, 6744, 621, 856, 538, 2962, 1934, 2336, 268, 19208, 568, 519, 21199, 1575, 2069, 2115, 910, 4873, 476, 273, 267, 476, 1708, 274, 454, 268, 476, 274, 1007, 3466, 538, 2875, 4879, 910, 4873, 476, 273, 267, 476, 1708, 274, 454, 268, 4208, 1062, 7004, 568, 2693, 513, 10612, 5326, 910, 4873, 476, 272, 267, 476, 1708, 274, 0, 288, 2487, 1353, 814, 7152, 519, 2640, 540, 954, 698, 1890, 5698, 1282, 1426, 13871, 4576, 12176, 13753, 269, 634, 1353, 729, 5342, 676, 3173, 689, 519, 772, 2529, 269, 5253, 543, 10684, 10029, 779, 4741, 585, 5253, 8881, 543, 11930, 12594, 630, 293, 6395, 779, 595, 12396, 3198, 264, 543, 519, 772, 2529, 269, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1916, 763, 1445, 540, 519, 1353, 729, 12726, 268, 22873, 7007, 4825, 4592, 8826, 4934, 19874, 15766, 725, 630, 10485, 4629, 3674, 1070, 799, 616, 15748, 676, 519, 6051, 540, 23633, 15451, 25904, 689, 1426, 1587, 610, 2825, 5439, 267, 4553, 676, 519, 8446, 540, 513, 12440, 540, 16220, 1644, 4791, 25904, 267, 609, 7766, 16917, 328, 11043, 543, 10250, 3724, 13753, 30260, 513, 3095, 1063, 513, 14353, 6174, 543, 10108, 269, 16038, 4629, 3674, 267, 799, 616, 1031, 676, 1031, 676, 5313, 1857, 1072, 543, 9431, 4891, 538, 519, 772, 2529, 1421, 616, 13087, 676, 519, 2810, 946, 540, 2898, 11646, 15971, 630, 310, 14899, 264, 585, 25904, 540, 1426, 13871, 13596, 267, 607, 1134, 607, 519, 2702, 547, 2671, 543, 5635, 1239, 593, 1857, 5867, 563, 6097, 547, 606, 2079, 540, 1079, 2013, 2090, 267, 16038, 4629, 3674, 1450, 585, 4505, 8367, 5108, 267, 4553, 676, 6098, 4015, 540, 1344, 827, 1426, 23927, 543, 519, 3536, 543, 10672, 540, 1719, 267, 547, 6166, 513, 3095, 1063, 519, 10108, 543, 741, 2707, 269, 16038, 4629, 3674, 1419, 1291, 547, 4505, 2962, 602, 1223, 2569, 519, 4560, 543, 11411, 540, 1426, 13871, 4576, 17061, 267, 543, 1331, 824, 2640, 899, 5813, 883, 1426, 13871, 4576, 5316, 1081, 267, 3486, 5698, 267, 543, 3255, 585, 8476, 1426, 3106, 3646, 1851, 2872, 269, 2201, 519, 824, 1688, 267, 972, 2291, 2591, 547, 16038, 4629, 3674, 267, 971, 607, 4199, 14556, 4369, 267, 13260, 540, 16917, 328, 11043, 543, 10250, 3724, 1239, 267, 543, 606, 5051, 1950, 1426, 3761, 5832, 563, 763, 1079, 2013, 2090, 11567, 941, 513, 476, 272, 264, 476, 1001, 279, 12176, 540, 10108, 3361, 676, 4672, 8645, 13572, 609, 700, 3563, 807, 1395, 26014, 4094, 525, 267, 543, 476, 273, 264, 513, 476, 1001, 279, 12176, 540, 27187, 3397, 17754, 328, 10108, 7654, 5532, 547, 14735, 3575, 269, 1452, 1079, 17061, 941, 6074, 607, 789, 2838, 519, 4254, 16478, 540, 513, 1713, 1297, 540, 1857, 1072, 4648, 543, 2200, 693, 519, 2199, 267, 1533, 267, 543, 5313, 1377, 269, 3958, 267, 2963, 3812, 1282, 519, 16038, 4629, 3674, 3366, 547, 1587, 31061, 267, 9744, 24422, 267, 10386, 2238, 267, 543, 10618, 547, 24633, 519, 1857, 827, 519, 27416, 2472, 269, 0, 763, 1397, 543, 2995, 1895, 713, 3018, 568, 19154, 16604, 1895, 269, 1403, 596, 616, 538, 19154, 16604, 1895, 267, 596, 666, 3142, 513, 1397, 543, 2995, 538, 593, 13723, 547, 2671, 609, 707, 2828, 269, 898, 1223, 581, 1945, 602, 2501, 538, 707, 9126, 610, 621, 1223, 581, 2366, 538, 3842, 24135, 12960, 547, 581, 3838, 593, 519, 5496, 563, 2690, 1753, 1565, 713, 3018, 912, 20091, 910, 8347, 547, 1224, 707, 2542, 1433, 610, 1776, 1257, 3232, 543, 1129, 707, 2542, 2594, 950, 596, 798, 269, 1411, 666, 1224, 707, 1153, 2835, 610, 824, 2835, 602, 596, 1522, 723, 693, 1753, 563, 8967, 32478, 910, 3776, 1007, 18001, 476, 276, 3280, 568, 519, 1445, 540, 938, 29745, 713, 3018, 269, 1703, 786, 581, 476, 275, 1913, 547, 1451, 609, 519, 15234, 1195, 257, 3280, 538, 873, 269, 1703, 616, 476, 273, 1913, 602, 616, 5729, 476, 272, 1455, 9868, 1913, 602, 991, 547, 581, 19927, 676, 8289, 2864, 982, 7311, 513, 4341, 269, 1703, 786, 581, 513, 1449, 1985, 11728, 630, 1015, 628, 5239, 264, 538, 513, 2370, 4544, 1433, 602, 616, 4867, 693, 1153, 269, 634, 2835, 786, 581, 8120, 1753, 11728, 12784, 865, 596, 666, 1294, 875, 596, 3893, 593, 2336, 4942, 9582, 910, 649, 616, 4358, 18001, 476, 276, 713, 3018, 269, 3776, 1007, 3280, 568, 23690, 269, 1411, 666, 26821, 31986, 873, 267, 12404, 519, 4992, 693, 1753, 543, 1404, 513, 3014, 610, 1404, 12617, 14951, 630, 4942, 848, 476, 276, 264, 593, 1912, 9582, 1404, 563, 2791, 666, 2347, 1022, 4247, 689, 519, 4201, 4379, 476, 272, 23918, 7470, 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 ]

[ 7077, 10305, 454, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 3080, 994, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 10521, 994, 2745, 6831, 541, 5334, 701, 14369, 6262, 541, 16248, 994, 2745, 318, 30350, 5334, 701, 14369, 263, 30350, 3080, 994, 2745, 318, 30350, 5334, 701, 14369, 263, 30350, 10521, 264, 0, 454, 5228, 7379, 3155, 269, 5891, 1104, 4159, 267, 14103, 267, 2312, 318, 16059, 454, 5814, 4351, 454, 5814, 942, 692, 258, 10794, 4790, 1218, 692, 4629, 16703, 11434, 815, 476, 277, 454, 4596, 299, 9331, 10064, 825, 815, 476, 278, 692, 18444, 4488, 292, 318, 301, 24535, 815, 1412, 1412, 454, 18444, 4488, 292, 318, 24535, 476, 815, 1412, 343, 7055, 18444, 4488, 292, 318, 307, 310, 302, 476, 815, 1412, 334, 28847, 18444, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 815, 13634, 825, 28697, 4488, 292, 318, 301, 24535, 2433, 1412, 19009, 22779, 825, 28697, 4488, 292, 318, 24535, 476, 2433, 1412, 18872, 22779, 825, 28697, 4488, 292, 318, 307, 310, 302, 476, 2433, 1412, 1042, 22779, 10926, 14888, 3918, 290, 16739, 815, 27210, 825, 11196, 272, 267, 910, 272, 1070, 11196, 272, 267, 476, 271, 1070, 11196, 272, 267, 476, 272, 13211, 825, 630, 476, 271, 267, 910, 272, 1070, 16875, 630, 476, 271, 267, 476, 272, 13211, 825, 630, 476, 272, 267, 910, 272, 1070, 630, 476, 272, 267, 476, 271, 1070, 630, 476, 272, 267, 476, 272, 13211, 2020, 258, 8274, 12793, 692, 3698, 1711, 318, 4580, 263, 4900, 284, 4629, 16703, 267, 9587, 284, 4596, 299, 9331, 10064, 2187, 825, 15981, 6282, 525, 8900, 4045, 476, 275, 4604, 23288, 825, 4604, 815, 29129, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 4604, 32284, 815, 11713, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 4604, 32284, 6910, 263, 18444, 4488, 292, 318, 301, 24535, 994, 1038, 4604, 6910, 29033, 32284, 2020, 825, 2132, 4604, 692, 476, 1948, 25767, 4604, 692, 3698, 5299, 318, 4580, 29033, 2187, 8587, 15981, 17776, 513, 5299, 540, 519, 4604, 23288, 8587, 9343, 825, 815, 7003, 29033, 994, 8587, 9587, 815, 7003, 29033, 314, 271, 7481, 8587, 23652, 476, 815, 1711, 318, 4580, 263, 4900, 267, 9587, 2020, 8587, 585, 4737, 538, 2039, 263, 4900, 2187, 16875, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 23526, 23652, 314, 992, 6012, 26383, 316, 815, 4604, 314, 992, 6012, 26383, 2639, 8587, 2132, 23652, 692, 3698, 1820, 318, 4580, 29033, 2187, 825, 15981, 2398, 6493, 4045, 476, 275, 4604, 23288, 825, 585, 4737, 538, 4604, 912, 1038, 1820, 3488, 347, 262, 1341, 1412, 347, 8339, 21860, 21405, 264, 1341, 1412, 347, 17210, 3698, 6749, 7272, 19991, 29033, 267, 6241, 267, 4062, 2187, 825, 15981, 28055, 338, 547, 6749, 9138, 4062, 883, 519, 4604, 693, 519, 454, 825, 9138, 6241, 692, 825, 1403, 713, 7319, 12923, 267, 2132, 6936, 267, 6382, 2132, 8771, 563, 825, 15981, 692, 825, 585, 4737, 538, 20328, 29033, 2187, 1038, 952, 4737, 314, 26383, 316, 2652, 28697, 4488, 292, 318, 301, 24535, 912, 2018, 4737, 314, 26383, 316, 815, 4062, 454, 2018, 2132, 6936, 692, 825, 2132, 8771, 692, 3698, 1265, 318, 7773, 1676, 29033, 267, 3259, 284, 275, 2187, 825, 15981, 17776, 2436, 610, 711, 519, 4604, 814, 513, 16771, 15981, 692, 825, 9343, 825, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 20285, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 952, 4604, 314, 992, 6012, 26383, 316, 2652, 28697, 4488, 292, 318, 301, 24535, 912, 3546, 3136, 692, 2018, 952, 2638, 7272, 19991, 29033, 267, 4737, 267, 6241, 267, 3259, 2187, 3546, 2132, 4604, 314, 992, 6012, 26383, 6540, 825, 2132, 7183, 692, 3698, 2638, 7272, 19991, 29033, 267, 4737, 267, 6241, 267, 3259, 2187, 825, 15981, 17776, 2436, 610, 711, 972, 568, 513, 10888, 5311, 4358, 689, 454, 825, 713, 4062, 454, 825, 23288, 825, 9343, 825, 815, 7003, 29033, 994, 825, 9587, 815, 7003, 29033, 314, 271, 20285, 825, 585, 1743, 267, 546, 322, 538, 14192, 3918, 290, 16739, 912, 1038, 1336, 318, 7773, 1676, 815, 6936, 692, 1038, 585, 1775, 538, 2039, 263, 272, 267, 3259, 2187, 2018, 678, 815, 4737, 1341, 1743, 265, 328, 454, 2018, 524, 815, 6241, 1341, 546, 322, 265, 328, 692, 2018, 952, 678, 711, 538, 2039, 263, 4900, 264, 610, 524, 711, 538, 2039, 263, 3712, 8435, 2187, 3546, 1336, 318, 7773, 1676, 815, 8771, 454, 3546, 2736, 692, 2018, 952, 4604, 314, 337, 6012, 322, 316, 11203, 4604, 314, 992, 6012, 26383, 14158, 3546, 1336, 318, 7773, 1676, 815, 8771, 454, 3546, 2736, 692, 1038, 952, 1336, 318, 7773, 1676, 912, 2018, 2132, 6936, 692, 825, 2132, 8771, 692, 258, 14103, 13478, 309, 294, 12793, 692, 3698, 4159, 318, 6255, 6447, 4433, 2187, 825, 15981, 18224, 5569, 607, 14103, 23288, 825, 4159, 263, 12487, 7876, 4433, 11723, 3698, 1711, 318, 4580, 5334, 341, 326, 29033, 267, 8953, 2187, 825, 15981, 17776, 25789, 294, 5569, 5627, 21370, 6041, 540, 4604, 15981, 692, 825, 9343, 672, 815, 7003, 29033, 994, 825, 9587, 476, 815, 7003, 29033, 314, 271, 7481, 825, 8006, 815, 476, 273, 265, 31709, 692, 825, 521, 341, 326, 476, 815, 1412, 283, 12364, 326, 4463, 6889, 24001, 257, 8700, 6889, 24001, 22969, 8339, 8971, 263, 4900, 265, 323, 3554, 2678, 267, 9587, 265, 323, 3554, 2678, 994, 825, 521, 341, 326, 6834, 1412, 283, 5550, 8700, 6889, 1911, 260, 257, 4463, 6889, 1911, 260, 257, 6445, 6889, 19990, 257, 270, 285, 28847, 825, 585, 4737, 538, 2039, 263, 4900, 2187, 1038, 585, 6241, 538, 2039, 263, 3712, 8435, 2187, 2018, 4062, 815, 4604, 314, 992, 6012, 26383, 2639, 2018, 2681, 815, 28697, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 314, 12328, 2639, 2018, 524, 343, 825, 815, 6241, 265, 323, 3554, 2678, 1341, 8953, 454, 2018, 2166, 825, 815, 4737, 265, 323, 3554, 2678, 1341, 8953, 454, 2018, 521, 341, 326, 6834, 1412, 283, 15132, 548, 524, 343, 6889, 24001, 257, 2166, 6889, 24001, 257, 678, 6889, 24001, 257, 6445, 6889, 24001, 257, 270, 285, 8339, 8971, 6262, 343, 267, 2166, 267, 8953, 29688, 4037, 267, 2681, 2020, 825, 521, 341, 326, 6834, 1412, 9572, 12364, 326, 285, 28847, 825, 2132, 521, 341, 326, 692, 825, 1219, 5274, 32156, 29033, 267, 1686, 267, 5716, 2187, 1038, 15981, 3367, 1847, 689, 1480, 6345, 23288, 1038, 9587, 815, 7003, 29033, 314, 271, 7481, 1038, 6241, 476, 815, 910, 272, 692, 825, 1247, 6241, 711, 538, 2039, 263, 271, 267, 9587, 2187, 1038, 6241, 815, 3403, 3488, 7617, 6241, 286, 1412, 2020, 825, 2132, 6241, 692, 3698, 15932, 32156, 29033, 267, 1686, 267, 5716, 2187, 825, 15981, 15932, 569, 2824, 513, 6241, 23288, 825, 9587, 815, 7003, 29033, 314, 271, 7481, 825, 2132, 4351, 27110, 263, 271, 267, 9587, 910, 476, 272, 2020, 825, 1948, 3794, 984, 1023, 692, 5522, 16558, 815, 630, 18444, 4488, 292, 318, 24535, 267, 28697, 4488, 292, 318, 307, 310, 302, 994, 14532, 815, 11713, 32317, 567, 815, 1711, 318, 4580, 4590, 20238, 3780, 476, 815, 476, 2412, 454, 310, 27903, 476, 815, 7183, 454, 307, 1845, 567, 815, 476, 271, 692, 258, 10794, 31230, 692, 6112, 711, 12736, 1676, 912, 825, 2490, 815, 7003, 263, 14532, 2020, 825, 952, 2490, 4939, 476, 273, 2652, 476, 271, 912, 1038, 1847, 815, 5274, 32156, 16360, 13635, 267, 3778, 267, 24812, 264, 567, 1948, 26761, 2290, 454, 825, 3116, 912, 1038, 1847, 815, 15932, 32156, 16360, 13635, 267, 3778, 267, 24812, 264, 476, 1948, 26761, 5565, 692, 825, 952, 6749, 7272, 19991, 16360, 13635, 267, 1847, 267, 24812, 314, 339, 1248, 4939, 476, 273, 316, 2187, 1038, 570, 1845, 815, 476, 271, 454, 1038, 3778, 6910, 9852, 913, 2020, 825, 952, 570, 1845, 3436, 476, 274, 912, 1038, 1820, 3488, 32156, 15079, 568, 12758, 256, 8339, 8971, 9230, 339, 1248, 4939, 476, 273, 264, 1341, 476, 272, 4917, 1038, 2736, 692, 825, 2312, 318, 16059, 4590, 825, 4159, 318, 6255, 6447, 263, 22056, 318, 4580, 5334, 341, 326, 16360, 13635, 267, 7101, 3780, 11723, 825, 942, 4732, 2748, 263, 272, 2020, 825, 12736, 1676, 815, 1265, 318, 7773, 1676, 16360, 13635, 2020, 2745, 3488, 763, 12736, 1676, 568, 15079, 8339, 8971, 263, 18444, 4488, 292, 318, 4596, 299, 3036, 318, 31778, 314, 310, 27903, 316, 4297, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 19523, 7531, 301, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 815, 476, 279, 454, 301, 9331, 318, 4629, 16703, 815, 476, 12553, 7531, 3698, 1224, 18316, 6600, 32327, 281, 1193, 267, 694, 335, 281, 1193, 815, 1412, 315, 333, 10807, 9847, 1592, 314, 1598, 14158, 825, 609, 1930, 6600, 32327, 267, 1412, 4135, 10807, 607, 535, 912, 1038, 1239, 815, 535, 18667, 14061, 20889, 263, 572, 335, 994, 1038, 2132, 1239, 7531, 3698, 1205, 19571, 4433, 281, 1193, 267, 562, 281, 1592, 27776, 3910, 7762, 318, 10420, 281, 1193, 267, 1283, 318, 10420, 281, 1193, 264, 9847, 703, 912, 825, 952, 7003, 4433, 264, 2652, 476, 271, 912, 1038, 7682, 7003, 3799, 264, 2652, 476, 272, 454, 1038, 2132, 562, 314, 271, 2639, 825, 3116, 912, 1038, 3368, 318, 6352, 815, 7003, 3799, 264, 12262, 476, 273, 454, 1038, 952, 521, 314, 271, 316, 2652, 7762, 318, 10420, 912, 2018, 562, 815, 562, 11468, 327, 2788, 318, 6352, 2639, 2018, 2132, 1205, 19571, 4433, 314, 272, 281, 3910, 562, 267, 7762, 318, 10420, 267, 1283, 318, 10420, 994, 1038, 8640, 521, 314, 271, 316, 2652, 1283, 318, 10420, 912, 2018, 562, 815, 562, 314, 327, 2788, 318, 6352, 281, 2639, 2018, 2132, 1205, 19571, 4433, 314, 272, 281, 3910, 562, 267, 7762, 318, 10420, 267, 1283, 318, 10420, 994, 1038, 3116, 912, 2018, 1820, 6600, 257, 310, 3994, 1915, 281, 2715, 338, 314, 271, 316, 348, 5602, 2018, 7682, 8771, 692, 3698, 1612, 572, 26000, 520, 19571, 4433, 281, 1193, 264, 9847, 703, 912, 825, 678, 815, 1205, 19571, 4433, 11468, 268, 274, 3910, 2039, 18217, 9331, 318, 4629, 16703, 1070, 476, 7762, 318, 10420, 8782, 293, 3299, 1283, 318, 10420, 8782, 289, 5073, 825, 524, 815, 1205, 19571, 4433, 15631, 274, 281, 3910, 2039, 18217, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 1070, 7762, 318, 10420, 8782, 299, 3299, 1283, 318, 10420, 8782, 305, 5073, 825, 2132, 678, 2608, 715, 9331, 318, 10345, 2969, 306, 318, 25807, 318, 4629, 310, 1341, 524, 7531, 3698, 4161, 272, 10857, 281, 1592, 314, 1598, 8079, 9847, 703, 912, 825, 2132, 3193, 9852, 777, 263, 27785, 26000, 520, 19571, 267, 561, 264, 9239, 3698, 4161, 273, 10857, 281, 1592, 314, 1598, 8079, 9847, 703, 912, 825, 10160, 318, 1749, 815, 1592, 9852, 777, 263, 27785, 26000, 520, 19571, 267, 561, 4917, 825, 10160, 318, 1749, 31699, 4590, 825, 585, 10160, 16182, 538, 10160, 318, 1749, 912, 1038, 952, 10160, 16182, 1341, 476, 272, 711, 538, 10160, 318, 1749, 543, 10160, 16182, 1341, 476, 273, 538, 10160, 318, 1749, 912, 2018, 2132, 10160, 16182, 1341, 476, 272, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 272, 912, 1038, 1820, 6600, 262, 5825, 720, 281, 2715, 338, 903, 27769, 341, 314, 271, 316, 348, 476, 2999, 6358, 285, 5073, 1038, 14827, 8987, 272, 2020, 825, 1820, 2891, 19203, 7420, 476, 272, 26905, 5602, 825, 1239, 281, 1592, 314, 1598, 316, 815, 1224, 18316, 4433, 903, 27769, 341, 314, 272, 7481, 825, 1820, 6600, 257, 299, 17999, 10160, 9517, 281, 2715, 577, 718, 3188, 272, 16597, 14587, 15419, 825, 1820, 2891, 19203, 7420, 476, 273, 26905, 5602, 825, 1820, 6600, 257, 7069, 1530, 520, 9517, 281, 2715, 577, 718, 3188, 273, 16597, 14587, 8442, 0, 3698, 9258, 6635, 337, 19906, 267, 1376, 267, 1439, 2187, 825, 1247, 263, 11034, 2999, 1439, 2187, 1038, 10917, 815, 2855, 314, 11034, 2639, 1038, 2855, 314, 11034, 316, 815, 2855, 314, 754, 2639, 1038, 2855, 314, 754, 316, 815, 10917, 454, 1038, 1376, 815, 1376, 1341, 476, 272, 454, 1038, 1439, 815, 1439, 910, 476, 272, 7531, 3698, 2451, 305, 582, 622, 26161, 19906, 267, 546, 2187, 825, 562, 815, 7003, 19906, 994, 825, 9258, 6635, 337, 19906, 267, 476, 271, 267, 546, 268, 272, 994, 825, 9258, 6635, 337, 19906, 267, 546, 267, 562, 268, 272, 994 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 596, 267, 610, 7237, 513, 5493, 610, 26393, 585, 28162, 269, 1452, 666, 7444, 1020, 543, 6157, 786, 2253, 547, 13468, 519, 19048, 3034, 1103, 1082, 2665, 267, 513, 1072, 1416, 3318, 949, 21559, 31520, 610, 1884, 1014, 3806, 5574, 952, 972, 616, 930, 824, 3208, 657, 762, 5626, 1533, 1966, 269, 32192, 616, 7192, 549, 842, 1238, 2388, 1596, 334, 3009, 2356, 1031, 538, 11100, 609, 2126, 563, 16908, 2511, 2242, 454, 7312, 10629, 949, 849, 23596, 5574, 19838, 8516, 267, 4708, 2853, 267, 543, 11009, 11044, 269, 0, 4131, 614, 589, 32274, 6096, 21584, 1107, 14594, 589, 32274, 6096, 21584, 616, 513, 3730, 4199, 547, 1205, 3180, 540, 707, 13002, 547, 948, 596, 2259, 13002, 269, 901, 476, 2767, 268, 19986, 2985, 2123, 2987, 7672, 3640, 568, 10375, 547, 1491, 2059, 16382, 596, 979, 269, 898, 786, 581, 2653, 547, 960, 593, 707, 960, 11380, 610, 1256, 538, 606, 10081, 610, 538, 519, 8484, 676, 1210, 621, 269, 1452, 11207, 1863, 7792, 9904, 9212, 616, 1655, 585, 13002, 2259, 2523, 563, 763, 14594, 589, 32274, 6096, 21584, 5161, 540, 1585, 11791, 2238, 269, 1635, 8795, 519, 1297, 540, 5022, 8795, 543, 1031, 519, 7990, 532, 538, 519, 5022, 267, 1453, 616, 16271, 547, 1007, 15437, 267, 10643, 267, 4667, 267, 543, 2165, 2035, 269, 634, 2238, 538, 519, 4976, 10069, 1125, 3309, 2127, 540, 519, 1126, 779, 1480, 2634, 267, 3056, 547, 4824, 1620, 5759, 563, 2791, 666, 849, 8415, 519, 3211, 547, 948, 707, 5067, 610, 8250, 1265, 519, 9904, 543, 1265, 856, 4909, 21089, 269, 1280, 1383, 267, 950, 596, 4001, 707, 1126, 875, 547, 2161, 519, 2165, 2048, 27594, 685, 1818, 946, 540, 519, 4976, 543, 930, 12015, 856, 1205, 7759, 540, 3349, 267, 596, 786, 1205, 1864, 547, 7485, 519, 5022, 689, 6854, 547, 1318, 676, 1210, 513, 3819, 9004, 15262, 267, 1287, 513, 3280, 267, 543, 1310, 602, 5116, 519, 3349, 856, 269, 1306, 646, 8942, 713, 1586, 267, 646, 786, 723, 27058, 875, 547, 10956, 519, 2262, 7157, 269, 22843, 16439, 568, 19278, 543, 786, 5351, 707, 1126, 547, 1205, 3054, 513, 7914, 1376, 538, 1153, 269, 1924, 267, 2436, 596, 616, 2866, 873, 547, 17492, 610, 1224, 998, 267, 946, 3819, 9004, 4604, 543, 27642, 9904, 9212, 547, 5351, 707, 1762, 3283, 1451, 513, 1007, 9904, 563, 4131, 614, 589, 32274, 6096, 21584, 1331, 1585, 3078, 3635, 13467, 547, 5351, 1453, 609, 12423, 875, 547, 11963, 269, 1635, 2324, 538, 1022, 1259, 1114, 9832, 267, 789, 786, 1020, 13093, 2438, 6284, 267, 3750, 3620, 1343, 11558, 267, 543, 10259, 3965, 269, 23560, 960, 693, 3982, 2053, 540, 519, 1554, 547, 2407, 891, 2238, 786, 4217, 873, 960, 693, 741, 1378, 2557, 269, 1452, 616, 519, 4998, 13344, 547, 2285, 547, 1053, 945, 2154, 3606, 948, 609, 741, 1382, 269, 0, 1432, 3657, 519, 10548, 5874, 540, 966, 8388, 1944, 888, 1432, 779, 966, 12686, 286, 634, 2243, 949, 3100, 28457, 748, 269, 1215, 666, 4896, 917, 1360, 1134, 1018, 568, 968, 332, 2814, 892, 8164, 972, 616, 1100, 2854, 5638, 286, 8616, 267, 11570, 723, 1279, 1634, 602, 623, 4428, 4446, 789, 798, 2965, 13236, 22643, 832, 950, 789, 8673, 13189, 267, 2436, 610, 711, 789, 917, 621, 610, 711, 269, 2368, 945, 616, 3978, 827, 741, 16906, 7296, 543, 2119, 547, 16718, 1419, 3605, 602, 789, 666, 711, 16718, 4411, 21429, 269, 12344, 519, 2601, 585, 519, 2601, 1373, 789, 723, 4362, 1018, 568, 11517, 1944, 543, 723, 1336, 856, 875, 547, 30712, 621, 563, 2304, 5907, 16906, 568, 2965, 606, 5122, 3926, 799, 18187, 919, 1210, 10269, 1369, 606, 5907, 1259, 269, 898, 10416, 2882, 513, 1507, 5907, 6007, 267, 606, 4835, 1379, 2707, 971, 607, 513, 22507, 762, 6007, 267, 543, 606, 5007, 8708, 971, 607, 513, 7382, 610, 7047, 16466, 269, 5502, 540, 8673, 267, 606, 1367, 1152, 11375, 2297, 22643, 832, 269, 769, 713, 1259, 267, 642, 16747, 616, 1419, 4330, 607, 968, 523, 331, 20149, 9641, 6100, 1306, 519, 9641, 616, 711, 2800, 539, 676, 519, 7274, 540, 11517, 31067, 267, 642, 3639, 1419, 17551, 602, 741, 9641, 798, 711, 7985, 689, 519, 4539, 540, 15522, 693, 782, 563, 2791, 666, 1265, 1079, 2010, 540, 3167, 13189, 267, 5907, 524, 580, 541, 2347, 269, 3962, 2186, 814, 922, 1378, 10058, 7907, 267, 855, 1312, 946, 519, 1482, 8022, 3693, 547, 3002, 909, 519, 1570, 267, 2356, 519, 512, 1653, 610, 530, 1157, 267, 1318, 883, 513, 5277, 1533, 267, 799, 568, 1287, 647, 22486, 883, 519, 9641, 3842, 519, 5023, 12328, 269, 1323, 1367, 5907, 16906, 1522, 581, 726, 28289, 883, 606, 17752, 267, 799, 1131, 4196, 547, 3002, 909, 519, 530, 1157, 543, 1711, 519, 11517, 585, 606, 1367, 547, 11375, 1446, 563, 1607, 4667, 5176, 519, 1482, 607, 519, 1259, 602, 21596, 3824, 652, 2834, 13189, 267, 855, 972, 568, 513, 2101, 3017, 269, 634, 11517, 689, 519, 2834, 16906, 568, 513, 4999, 540, 3327, 8166, 543, 13545, 267, 799, 1205, 12842, 883, 519, 15137, 518, 779, 9641, 950, 789, 1491, 513, 25858, 269, 1717, 267, 8164, 513, 642, 1653, 3217, 538, 513, 11517, 267, 621, 1281, 711, 2270, 891, 6878, 269, 1548, 779, 1373, 3812, 3079, 568, 513, 6219, 602, 1034, 1131, 4766, 607, 968, 16867, 5608, 855, 799, 1082, 2015, 547, 581, 968, 7224, 1047, 1848, 966, 12686, 786, 711, 2014, 5761, 2860, 267, 607, 1454, 10269, 3755, 917, 267, 855, 621, 666, 2014, 513, 2647, 5044, 540, 824, 7929, 2042, 543, 2589, 267, 1519, 689, 15319, 31462, 1846, 547, 7411, 7244, 547, 900, 19148, 572, 2742, 543, 5312, 32583, 563, 4407, 972, 616, 513, 1906, 1072, 4220, 2404, 609, 1018, 616, 519, 1072, 2360, 540, 7296, 267, 1454, 811, 3978, 6937, 2291, 1210, 1018, 616, 519, 2360, 540, 22643, 832, 269, 5221, 1082, 642, 3639, 2356, 798, 711, 11375, 1446, 519, 8673, 3812, 676, 519, 8022, 3693, 267, 789, 1810, 1406, 3132, 15522, 267, 835, 540, 519, 1034, 22925, 6878, 602, 596, 666, 4444, 269, 5221, 15522, 568, 3810, 22925, 267, 621, 2731, 568, 2352, 547, 936, 8063, 267, 2523, 538, 2474, 540, 875, 1279, 513, 1268, 786, 581, 29279, 547, 621, 267, 602, 949, 2039, 689, 1175, 513, 7008, 8090, 547, 1896, 1296, 610, 5756, 1759, 593, 741, 1808, 6219, 540, 13283, 563, 14738, 1631, 267, 621, 11129, 547, 581, 1455, 1702, 602, 798, 596, 917, 519, 12178, 540, 11517, 1944, 1331, 689, 26032, 540, 7362, 547, 4049, 5761, 3441, 538, 2043, 945, 798, 711, 16718, 7296, 269, 7043, 2165, 946, 540, 1018, 616, 519, 2360, 540, 29738, 949, 849, 2014, 4049, 2790, 1072, 2042, 538, 2043, 945, 4076, 1044, 5230, 21596, 585, 513, 1279, 942, 610, 5756, 269, 12832, 13534, 568, 3810, 6757, 267, 799, 1797, 602, 621, 666, 3362, 4283, 519, 18072, 998, 707, 2960, 610, 29935, 17011, 269, 901, 1522, 2014, 2042, 971, 607, 585, 1383, 2295, 6285, 610, 18116, 267, 799, 6941, 1946, 621, 568, 5393, 1271, 547, 16718, 7296, 952, 596, 20053, 547, 946, 1018, 616, 519, 2360, 540, 11517, 1944, 269, 634, 12178, 540, 519, 8213, 8831, 3564, 519, 1808, 9641, 543, 883, 519, 2634, 607, 1134, 267, 4929, 3388, 689, 7646, 4160, 547, 4965, 547, 4049, 7209, 4713, 563, 12234, 621, 568, 7543, 547, 30391, 519, 1198, 602, 1018, 616, 519, 2360, 540, 29655, 786, 723, 593, 606, 1367, 779, 23129, 269, 1403, 596, 941, 547, 3247, 7296, 267, 596, 1131, 2693, 723, 547, 5372, 707, 13189, 267, 799, 666, 2097, 2066, 1896, 4627, 9489, 829, 3923, 269, 4634, 952, 596, 616, 2111, 547, 3247, 693, 519, 1376, 543, 1152, 946, 1018, 616, 519, 2360, 540, 29655, 547, 1205, 13189, 267, 7363, 621, 3217, 3275, 540, 1210, 1018, 616, 519, 2360, 540, 29655, 547, 973, 19281, 1022, 13075, 9271, 596, 1223, 723, 30309, 269, 1306, 1134, 607, 519, 1942, 540, 13189, 267, 1039, 527, 819, 958, 972, 568, 519, 13258, 540, 519, 7164, 1072, 2360, 540, 29655, 267, 799, 596, 786, 723, 547, 2628, 585, 856, 540, 17927, 1354, 596, 16718, 7296, 563, 1432, 616, 519, 2360, 540, 29738, 286, 2290, 540, 519, 1292, 12178, 540, 1018, 616, 519, 29298, 540, 11517, 1944, 568, 602, 621, 1223, 4482, 19920, 547, 519, 6429, 269, 8479, 1004, 1419, 1265, 621, 4443, 547, 4603, 609, 6878, 971, 607, 1018, 616, 519, 29298, 540, 11517, 1944, 1317, 621, 3884, 1406, 865, 2653, 547, 2285, 909, 13189, 269, 1280, 3236, 267, 4758, 909, 13189, 547, 1205, 1164, 786, 2760, 581, 607, 2352, 607, 4758, 909, 14614, 1402, 267, 855, 621, 568, 1454, 4443, 547, 16718, 519, 8914, 982, 621, 568, 547, 3489, 1164, 689, 1945, 607, 2922, 607, 798, 596, 917, 519, 2360, 540, 7296, 269, 1703, 568, 11613, 1100, 2601, 602, 1762, 1004, 1058, 4603, 609, 3688, 602, 616, 865, 5732, 5906, 952, 789, 798, 711, 723, 547, 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 ]

[ 2039, 3799, 2187, 1038, 1948, 1205, 1535, 267, 530, 267, 536, 585, 1142, 4494, 454, 1038, 952, 13797, 2652, 476, 271, 912, 2018, 31575, 13448, 815, 16948, 17750, 318, 19066, 454, 1038, 3116, 912, 2018, 31575, 13448, 815, 16948, 19056, 314, 4512, 268, 272, 2639, 1038, 31575, 318, 7076, 815, 16948, 318, 7076, 314, 4512, 2639, 1038, 31575, 10734, 5362, 815, 16948, 10734, 5362, 314, 4512, 2639, 1038, 1948, 586, 815, 535, 26028, 343, 17070, 994, 1038, 1948, 519, 3977, 4494, 568, 2571, 10946, 4494, 454, 1038, 952, 13797, 2999, 562, 268, 272, 912, 2018, 16948, 19056, 314, 4512, 316, 815, 11852, 6958, 4233, 6025, 5404, 13448, 267, 31575, 318, 7076, 267, 31575, 10734, 5362, 994, 1038, 3116, 912, 2018, 16948, 19056, 314, 4512, 316, 815, 3977, 6958, 4233, 6025, 5404, 13448, 267, 31575, 318, 7076, 267, 31575, 10734, 5362, 994, 825, 2132, 16948, 19056, 19559, 268, 272, 6540, 454, 3698, 2530, 6958, 15635, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 1948, 513, 4737, 6152, 568, 513, 4062, 540, 1239, 454, 825, 1948, 16948, 318, 1002, 825, 2433, 567, 1496, 271, 269, 272, 267, 476, 271, 269, 273, 267, 10371, 1421, 476, 271, 269, 272, 2639, 825, 1948, 16948, 4671, 4902, 567, 2433, 567, 1496, 476, 271, 267, 567, 476, 272, 267, 476, 10371, 1421, 476, 476, 271, 23378, 825, 1948, 519, 2040, 540, 513, 4737, 6152, 568, 476, 272, 269, 271, 454, 825, 1948, 5173, 519, 2530, 540, 519, 2898, 1239, 267, 2132, 2530, 543, 3328, 2530, 454, 825, 2132, 5286, 27904, 18828, 4877, 1077, 9230, 1706, 320, 318, 1002, 910, 16948, 4671, 4902, 1070, 476, 273, 264, 2608, 476, 271, 269, 276, 9239, 3698, 1394, 335, 1886, 698, 566, 263, 1706, 320, 318, 7076, 267, 16948, 10734, 5362, 267, 16948, 19056, 267, 16948, 4671, 4902, 267, 16948, 17750, 318, 19066, 2676, 7386, 16948, 318, 9508, 284, 271, 269, 4905, 267, 11852, 6958, 4233, 284, 338, 31451, 267, 2530, 6958, 4233, 284, 29754, 6958, 15635, 2187, 825, 562, 815, 7003, 263, 1706, 320, 318, 7076, 269, 12399, 28829, 476, 1948, 1205, 1297, 540, 6106, 454, 825, 1948, 519, 3977, 4494, 454, 825, 1948, 519, 8174, 566, 540, 2530, 1599, 454, 825, 952, 2530, 6958, 4233, 11203, 2530, 6958, 15635, 912, 1038, 1948, 1205, 519, 8174, 566, 540, 2530, 1599, 799, 596, 1305, 563, 1038, 1948, 5470, 21591, 1038, 1820, 3488, 31711, 707, 1378, 8174, 566, 540, 2530, 1599, 5073, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 5470, 815, 16948, 19056, 19559, 268, 272, 316, 268, 1706, 320, 4671, 4902, 11434, 1948, 6241, 6152, 454, 825, 16948, 318, 7076, 19559, 268, 272, 316, 20699, 16948, 318, 9508, 2608, 5470, 2608, 16948, 19056, 19559, 268, 273, 4940, 307, 454, 825, 16948, 10734, 5362, 19559, 268, 272, 316, 20699, 16948, 318, 9508, 2608, 5470, 454, 825, 31575, 5091, 12265, 815, 630, 1706, 320, 318, 9508, 2608, 5470, 11053, 2608, 16948, 318, 7076, 19559, 268, 272, 316, 1040, 307, 692, 825, 1948, 519, 6456, 4494, 454, 825, 1948, 519, 8174, 566, 540, 11852, 1599, 454, 825, 952, 11852, 6958, 4233, 2652, 521, 31451, 912, 1038, 1219, 13506, 263, 1706, 320, 318, 1706, 320, 13448, 2187, 2018, 2132, 5286, 6230, 738, 17586, 263, 1706, 320, 318, 1706, 320, 13448, 267, 630, 272, 910, 16948, 318, 1706, 320, 13448, 4917, 825, 8640, 11852, 6958, 4233, 2652, 882, 340, 912, 1038, 13506, 815, 835, 318, 523, 13892, 454, 825, 3116, 912, 1038, 1948, 1205, 519, 8174, 566, 540, 11852, 1599, 799, 596, 1305, 454, 1038, 1948, 13506, 21591, 1038, 1820, 3488, 31711, 707, 1378, 8174, 566, 540, 11852, 1599, 5073, 1038, 2132, 7183, 692, 825, 585, 13797, 538, 2039, 3799, 268, 272, 264, 11468, 18737, 272, 14158, 1038, 31575, 5091, 12265, 815, 5286, 6230, 738, 17586, 14116, 2784, 1304, 263, 1706, 320, 19056, 314, 4512, 25818, 31575, 5091, 12265, 994, 1038, 952, 13797, 2652, 476, 271, 912, 2018, 1948, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 16948, 17750, 318, 19066, 2608, 31575, 5091, 12265, 11053, 454, 2018, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 2608, 16948, 17750, 318, 19066, 11053, 454, 1038, 3116, 912, 2018, 1948, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 16948, 19056, 314, 4512, 268, 272, 316, 2608, 31575, 5091, 12265, 11053, 454, 2018, 16948, 318, 7076, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 2608, 16948, 19056, 314, 4512, 268, 272, 4940, 307, 454, 1038, 16948, 10734, 5362, 314, 4512, 316, 20699, 16948, 318, 9508, 2608, 31575, 5091, 12265, 454, 1038, 31575, 5091, 12265, 815, 16948, 318, 9508, 2608, 630, 339, 5404, 5091, 12265, 11053, 2608, 16948, 318, 7076, 314, 4512, 316, 1040, 307, 454, 825, 2132, 16948, 318, 7076, 267, 16948, 10734, 5362, 7531, 3698, 568, 4671, 4902, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 952, 5286, 27769, 10946, 263, 1706, 320, 318, 1002, 264, 2652, 5286, 27769, 10946, 263, 1706, 320, 4671, 4902, 2187, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 476, 271, 7531, 3698, 6111, 263, 1706, 320, 318, 1002, 267, 16948, 4671, 4902, 2187, 825, 3020, 19571, 815, 476, 271, 454, 825, 31575, 815, 476, 271, 454, 825, 585, 13797, 538, 2039, 12759, 263, 1706, 320, 318, 1002, 15892, 1038, 952, 5286, 27769, 10946, 263, 1706, 320, 318, 1002, 314, 4512, 8079, 2652, 5286, 27769, 10946, 263, 1706, 320, 4671, 4902, 314, 4512, 316, 2187, 2018, 3020, 19571, 6834, 476, 272, 454, 1038, 31575, 6834, 568, 4671, 4902, 263, 1706, 320, 318, 1002, 314, 4512, 3910, 16948, 4671, 4902, 314, 4512, 7481, 825, 1820, 6025, 5404, 994, 825, 2132, 3020, 19571, 1315, 7003, 263, 1706, 320, 318, 1002, 994, 258, 815, 25275, 25275, 13117, 4499, 2525, 284, 7531, 12803, 815, 19073, 18667, 32269, 3488, 299, 8475, 539, 318, 10574, 318, 275, 743, 338, 318, 1911, 27406, 5073, 30221, 14729, 815, 835, 318, 14653, 31526, 9131, 16932, 262, 4940, 11161, 267, 3977, 15481, 994, 30221, 13448, 815, 5286, 269, 3901, 31526, 6155, 1886, 3488, 16932, 3299, 7852, 284, 272, 11723, 258, 2450, 8217, 815, 1496, 6358, 15481, 267, 6456, 272, 15481, 267, 6456, 273, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 21653, 8217, 815, 1496, 6358, 15481, 267, 6456, 273, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 258, 2450, 8217, 815, 1496, 6358, 15481, 267, 6456, 275, 15481, 267, 3977, 15481, 2639, 7076, 815, 9598, 4590, 321, 5362, 815, 9598, 4590, 339, 5404, 19056, 815, 9598, 4590, 1721, 1775, 538, 2039, 10857, 9707, 5332, 2187, 825, 2597, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 2450, 8217, 5157, 28413, 825, 9186, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 476, 272, 4917, 825, 31575, 19056, 5157, 316, 815, 5286, 269, 3901, 18828, 20179, 20120, 4433, 1125, 8217, 5157, 266, 272, 3910, 476, 272, 11723, 11907, 5332, 815, 7003, 6025, 1778, 14729, 994, 1721, 22184, 10983, 538, 2039, 263, 788, 5255, 5332, 2187, 825, 2530, 815, 476, 271, 454, 825, 2040, 4671, 4902, 815, 476, 271, 454, 825, 585, 13797, 538, 2039, 16597, 5332, 2187, 1038, 1535, 4671, 5404, 815, 5721, 13448, 314, 4512, 4940, 307, 454, 1038, 586, 4671, 5404, 815, 5721, 14729, 314, 4512, 4940, 307, 454, 1038, 11058, 14729, 815, 3049, 3453, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 1535, 4671, 5404, 994, 1038, 1394, 335, 1886, 698, 566, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 586, 4671, 5404, 267, 1535, 4671, 5404, 267, 16948, 318, 9508, 284, 14048, 318, 3433, 994, 1038, 2530, 6834, 2530, 6958, 15635, 263, 1002, 14729, 267, 586, 4671, 5404, 994, 1038, 2040, 4671, 4902, 6834, 568, 4671, 4902, 263, 1002, 14729, 267, 586, 4671, 5404, 994, 825, 952, 22184, 10983, 4939, 476, 736, 2652, 476, 271, 912, 1038, 1820, 3488, 788, 5255, 10983, 2433, 3299, 22184, 10983, 994, 1038, 1820, 3488, 29754, 2433, 3299, 2530, 994, 1038, 1820, 3488, 320, 2071, 6111, 2433, 3299, 2040, 4671, 4902, 7933, 1092, 5332, 2020, 2745, 3488, 335, 9438, 782, 1239, 281, 30386, 1002, 15305, 815, 5286, 269, 3901, 18828, 269, 2158, 8443, 6352, 6025, 1778, 14729, 1070, 3977, 15481, 28413, 1721, 13797, 538, 2039, 12759, 6025, 1778, 14729, 15892, 825, 11058, 15305, 314, 4512, 316, 815, 3049, 3453, 263, 7076, 267, 9186, 267, 31575, 19056, 267, 5721, 13448, 314, 4512, 4940, 307, 1040, 307, 454, 2745, 263, 3147, 5596, 263, 1002, 15305, 267, 5721, 14729, 4297, 0, 3698, 4017, 3799, 2187, 825, 952, 562, 2652, 476, 271, 610, 562, 2652, 476, 272, 912, 1038, 2132, 476, 272, 454, 825, 3116, 912, 1038, 2132, 4017, 3799, 910, 476, 272, 264, 1341, 4017, 3799, 910, 273, 9239, 3698, 1292, 10031, 825, 5727, 12916, 379, 17958, 13161, 494, 21796, 351, 421, 480, 352, 417, 354, 495, 12255, 28578, 8147, 418, 365, 480, 24731, 419, 366, 378, 419, 350, 362, 28996, 476, 271, 269, 1822, 4905, 476, 7511, 421, 375, 482, 19404, 495, 26166, 31176, 366, 12255, 12163, 825, 513, 815, 4017, 263, 866, 994, 825, 536, 815, 4017, 263, 1240, 2020, 825, 20735, 815, 536, 1315, 513, 22562, 825, 1820, 2891, 10065, 276, 325, 257, 4939, 20735, 994, 825, 1948, 1820, 5416, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 4067, 815, 3403, 2891, 1432, 568, 707, 2012, 2433, 19515, 720, 815, 703, 9272, 2891, 1432, 568, 707, 2085, 2433, 834, 11723, 604, 2012, 543, 2085, 912, 825, 952, 476, 1240, 10922, 2085, 2999, 476, 4029, 912, 1038, 1820, 2891, 2791, 616, 4847, 547, 979, 585, 476, 1240, 268, 1789, 14812, 5602, 825, 3116, 912, 1038, 1820, 2891, 19013, 596, 616, 711, 4847, 547, 979, 585, 476, 1240, 268, 1789, 14812, 5602, 12828, 912, 825, 1820, 2891, 2791, 10093, 1405, 679, 564, 1229, 782, 1344, 8442 ]

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

[ 2818, 899, 11511, 9429, 838, 25973, 630, 292, 25045, 12643, 807, 1583, 335, 839, 264, 543, 8891, 1399, 838, 25973, 630, 292, 25045, 12643, 807, 890, 15200, 1916, 6624, 7031, 666, 581, 1102, 6479, 676, 891, 838, 25973, 18047, 267, 1519, 4054, 267, 10448, 2371, 267, 15989, 32005, 267, 543, 8708, 2371, 543, 25798, 4677, 15135, 563, 8967, 582, 1540, 1975, 25973, 814, 513, 5144, 344, 18682, 602, 666, 581, 20715, 547, 2831, 543, 3425, 543, 666, 2014, 606, 8886, 908, 16420, 952, 621, 4991, 593, 707, 2960, 267, 865, 621, 568, 1655, 14284, 1256, 950, 2324, 547, 2312, 621, 689, 707, 4677, 563, 8489, 543, 1215, 20128, 1540, 1975, 25973, 717, 4900, 454, 763, 20128, 1540, 1975, 25973, 568, 513, 1212, 9429, 267, 605, 1598, 622, 2030, 602, 814, 513, 12402, 547, 3262, 856, 2072, 267, 8720, 606, 1858, 609, 922, 2371, 538, 2370, 942, 693, 782, 563, 8967, 582, 1540, 838, 25973, 568, 513, 4832, 32704, 1359, 267, 5993, 2030, 602, 3470, 1161, 1759, 593, 922, 1164, 6079, 2504, 267, 543, 3085, 1406, 798, 1134, 609, 6371, 610, 18290, 6735, 269, 589, 2582, 838, 25973, 18290, 949, 3132, 1082, 5215, 540, 5452, 267, 799, 616, 6263, 543, 666, 2611, 26862, 538, 519, 3037, 2394, 519, 3617, 23286, 2175, 2291, 269, 14400, 23899, 5452, 616, 3728, 547, 10351, 3729, 267, 6466, 5162, 23899, 5452, 1491, 3476, 543, 2356, 1810, 1406, 17708, 339, 2394, 5614, 563, 8967, 582, 1540, 838, 25973, 568, 1034, 2693, 547, 10351, 3729, 538, 5210, 1063, 476, 4037, 4113, 543, 476, 5952, 4113, 18278, 267, 855, 17708, 1154, 666, 849, 4755, 1256, 538, 5210, 1524, 547, 476, 2568, 4113, 543, 909, 547, 476, 1911, 4113, 269, 2885, 1588, 2356, 4386, 689, 5988, 998, 5181, 267, 952, 972, 568, 6190, 7509, 2139, 563, 2005, 568, 849, 3461, 1107, 838, 25973, 5452, 602, 17708, 339, 2038, 538, 519, 5614, 950, 922, 16830, 1419, 2611, 19155, 2394, 519, 4365, 3587, 811, 5078, 585, 1646, 269, 1717, 267, 1317, 19481, 838, 25973, 849, 3340, 1769, 585, 23286, 267, 5452, 12630, 4514, 982, 476, 272, 270, 273, 10759, 798, 711, 17708, 339, 1134, 563, 8967, 582, 1540, 838, 25973, 666, 1332, 538, 1876, 985, 543, 824, 1930, 2127, 267, 3226, 1141, 32005, 568, 23661, 267, 543, 666, 1256, 1332, 538, 2427, 19769, 18015, 543, 7258, 9897, 563, 1692, 1411, 2052, 10576, 20128, 1540, 1975, 25973, 454, 8967, 582, 1540, 1975, 25973, 267, 899, 782, 824, 2818, 540, 519, 838, 25973, 1920, 267, 9428, 605, 1598, 622, 267, 799, 1797, 621, 19082, 3294, 6366, 2059, 519, 2666, 563, 2005, 814, 1507, 267, 4158, 3039, 3762, 602, 1332, 2059, 922, 11710, 267, 799, 616, 476, 272, 270, 279, 268, 272, 270, 273, 10759, 1279, 543, 476, 272, 270, 279, 10759, 2647, 269, 10705, 513, 1507, 267, 4158, 2699, 5544, 786, 1665, 519, 1647, 540, 519, 3762, 267, 543, 713, 568, 1141, 19481, 838, 25973, 4991, 922, 2012, 563, 8967, 582, 1540, 1975, 25973, 7472, 6263, 267, 11909, 880, 5810, 602, 596, 723, 547, 1205, 1360, 2673, 547, 1294, 538, 1022, 1469, 269, 634, 5810, 267, 11710, 267, 543, 3762, 616, 2356, 4988, 538, 1507, 24827, 563, 1692, 547, 17179, 20128, 1540, 1975, 25973, 3245, 2659, 962, 731, 454, 2467, 616, 1896, 1114, 2081, 547, 1205, 7759, 540, 19481, 838, 25973, 267, 1519, 17444, 621, 856, 676, 1688, 267, 1210, 606, 10786, 8336, 267, 610, 8720, 873, 609, 2312, 5068, 9212, 543, 15603, 873, 27106, 538, 519, 3141, 2394, 741, 5072, 5884, 1055, 4625, 563, 309, 807, 17667, 10613, 454, 763, 1101, 3364, 596, 1058, 2119, 950, 3478, 7759, 540, 513, 19481, 838, 25973, 23588, 538, 707, 13452, 568, 547, 7485, 519, 18047, 856, 676, 1688, 269, 1403, 596, 2461, 30190, 543, 666, 6952, 873, 2038, 267, 1354, 789, 6079, 267, 596, 1522, 581, 2111, 547, 4894, 519, 3003, 23588, 1510, 1022, 3114, 6304, 693, 782, 563, 6826, 2386, 547, 849, 946, 513, 554, 4141, 547, 1118, 2386, 602, 9039, 540, 741, 5452, 6529, 1472, 538, 707, 3037, 282, 3597, 4773, 2451, 936, 786, 17708, 339, 1007, 2371, 952, 2175, 616, 1318, 269, 4746, 267, 5957, 8825, 17309, 543, 1279, 19492, 1407, 950, 17444, 1022, 838, 25973, 856, 267, 1317, 621, 666, 2014, 606, 8886, 908, 2960, 16420, 602, 786, 1205, 593, 1022, 6534, 2960, 563, 5194, 5214, 1505, 568, 1572, 3859, 1436, 1107, 713, 568, 950, 596, 946, 519, 3002, 540, 519, 4832, 3141, 547, 6146, 18047, 2864, 982, 1210, 10786, 8336, 269, 15147, 707, 15989, 610, 4677, 1858, 609, 2312, 5068, 6656, 532, 267, 543, 4734, 621, 972, 585, 2185, 547, 3670, 4374, 1282, 519, 29224, 942, 540, 1032, 630, 17141, 4864, 1040, 634, 16290, 3002, 786, 5555, 6146, 1055, 1022, 18290, 5452, 538, 922, 22984, 267, 1519, 19481, 838, 25973, 563, 309, 807, 11906, 10613, 454, 2252, 596, 2461, 2469, 547, 946, 513, 3114, 10786, 8336, 547, 4308, 609, 707, 19481, 838, 25973, 23588, 267, 972, 616, 1079, 2010, 596, 666, 946, 1107, 840, 15041, 1120, 550, 543, 2022, 15041, 1120, 550, 563, 7093, 15041, 1120, 550, 568, 519, 18290, 20740, 547, 946, 952, 519, 838, 25973, 5452, 723, 711, 1185, 606, 4316, 547, 10351, 3729, 269, 589, 1434, 4781, 585, 513, 840, 15041, 1120, 550, 10786, 8336, 568, 623, 2240, 27326, 6513, 1284, 539, 16473, 518, 563, 8070, 15041, 1120, 550, 18290, 20740, 568, 1655, 950, 519, 5452, 723, 10351, 3990, 543, 519, 19481, 838, 25973, 568, 2938, 17708, 1154, 538, 707, 4677, 269, 2422, 606, 10786, 8336, 609, 9848, 874, 657, 622, 607, 606, 3742, 12146, 267, 971, 607, 519, 14424, 9539, 4149, 1511, 24517, 3433, 10786, 8336, 269, 1684, 711, 946, 513, 476, 273, 267, 275, 5937, 1759, 18290, 20740, 267, 607, 713, 786, 711, 581, 2500, 1996, 19481, 838, 25973, 563, 4692, 1411, 16473, 20128, 1540, 1975, 25973, 3245, 19663, 538, 2659, 962, 731, 888, 763, 1034, 1455, 1935, 547, 1852, 19481, 838, 25973, 267, 543, 824, 27513, 2471, 267, 568, 547, 2061, 873, 689, 3395, 538, 519, 1101, 1747, 267, 607, 16701, 21899, 891, 18047, 2899, 789, 723, 17708, 1540, 568, 5393, 2352, 269, 3680, 8744, 5452, 883, 4025, 1141, 789, 949, 711, 581, 10950, 676, 1210, 9544, 6079, 602, 568, 18290, 6954, 267, 607, 1134, 607, 796, 4186, 3133, 730, 9544, 6006, 563, 10303, 20128, 1540, 1975, 25973, 9428, 1655, 538, 2127, 609, 23661, 32005, 6371, 267, 513, 2635, 543, 5394, 15989, 786, 3247, 621, 689, 3478, 513, 9087, 1054, 1245, 538, 707, 18147, 269, 1411, 666, 849, 946, 10991, 610, 5214, 15273, 2583, 267, 1312, 540, 799, 616, 2500, 693, 5329, 838, 25973, 693, 15922, 676, 711, 3850, 7943, 547, 3914, 922, 5452, 563, 8967, 582, 1540, 838, 25973, 568, 513, 26240, 5652, 18290, 602, 666, 581, 2352, 547, 4894, 689, 707, 13452, 267, 855, 952, 596, 2461, 8348, 547, 2322, 538, 519, 942, 543, 4674, 621, 4465, 1406, 1491, 1279, 1354, 707, 15989, 568, 2312, 563, 2171, 4126, 713, 2376, 814, 5280, 596, 1451, 811, 827, 19481, 838, 25973, 543, 1018, 547, 798, 952, 621, 779, 3395, 538, 707, 13452, 267, 543, 602, 602, 676, 2542, 621, 596, 3580, 723, 1732, 1702, 540, 875, 547, 8396, 891, 18047, 865, 789, 1810, 1406, 1860, 707, 15989, 779, 5898, 610, 519, 1072, 1465, 540, 519, 1604, 563, 2252, 596, 2461, 1869, 711, 2386, 2436, 610, 711, 519, 18290, 568, 19481, 838, 25973, 267, 1491, 513, 1413, 693, 938, 8446, 4388, 1586, 269, 1656, 3314, 602, 6604, 568, 2141, 1732, 982, 8851, 256, 1684, 596, 723, 1022, 824, 2055, 827, 875, 547, 1205, 7759, 540, 19481, 838, 25973, 286, 2913, 721, 917, 2630, 256, 0, 20103, 476, 1691, 267, 476, 1960, 280, 268, 3807, 538, 942, 454, 1721, 519, 10476, 13693, 894, 6828, 5870, 593, 5412, 476, 1691, 543, 476, 1428, 267, 519, 2622, 454, 289, 1678, 814, 6537, 909, 4566, 547, 948, 519, 14913, 7489, 4182, 9156, 689, 454, 1492, 10782, 14700, 538, 513, 2540, 269, 1325, 2819, 513, 10554, 540, 1390, 4644, 2676, 1492, 12557, 540, 519, 595, 294, 5870, 3091, 606, 1271, 4316, 281, 621, 949, 581, 454, 4310, 607, 513, 8468, 547, 10131, 4566, 547, 948, 1732, 2232, 971, 2067, 12469, 454, 514, 519, 2104, 563, 8310, 3923, 781, 3126, 540, 17160, 3361, 476, 274, 269, 274, 18265, 546, 784, 538, 3441, 267, 543, 7166, 5176, 476, 7785, 1004, 269, 634, 22856, 11013, 539, 5722, 3844, 16899, 602, 616, 1753, 547, 476, 278, 2929, 1004, 269, 6168, 476, 20981, 267, 1822, 5321, 941, 8697, 610, 10032, 267, 543, 476, 31816, 3506, 543, 476, 4037, 10506, 543, 19190, 941, 25626, 2476, 267, 2687, 547, 1867, 676, 519, 19176, 11982, 543, 22798, 4886, 12080, 563, 2304, 1271, 851, 540, 713, 1223, 581, 1489, 585, 513, 6433, 6051, 2508, 602, 1131, 581, 2139, 547, 8804, 5989, 543, 17612, 14317, 5612, 1310, 1022, 971, 2680, 16427, 1767, 2622, 7813, 10476, 13474, 10615, 12448, 6008, 518, 454, 4517, 1175, 607, 6051, 689, 519, 5437, 17160, 729, 862, 9760, 267, 10476, 729, 10599, 1229, 1586, 713, 3923, 609, 8731, 1370, 658, 22856, 267, 6028, 811, 982, 476, 1911, 1004, 4666, 269, 2290, 2929, 1004, 616, 538, 991, 540, 6595, 5351, 269, 1912, 534, 19109, 932, 340, 784, 267, 513, 21621, 23070, 538, 2372, 836, 31436, 2967, 267, 5143, 519, 1715, 3840, 8648, 602, 476, 7742, 267, 1822, 1004, 538, 519, 11662, 941, 1869, 538, 991, 540, 6595, 1426, 269, 834, 763, 3510, 568, 1360, 2565, 689, 1631, 547, 1985, 4728, 267, 950, 646, 1985, 7693, 568, 4397, 2437, 646, 1767, 563, 5475, 519, 3355, 3126, 540, 17160, 267, 519, 2622, 7813, 9333, 809, 513, 4745, 5692, 547, 8524, 14796, 538, 519, 1614, 23698, 5734, 16899, 630, 5226, 836, 10222, 267, 774, 7699, 774, 1329, 670, 826, 543, 2372, 836, 21601, 264, 856, 540, 519, 5722, 4299, 3844, 16899, 269, 2622, 7813, 10476, 13474, 10615, 12448, 6008, 518, 729, 8678, 593, 519, 5692, 676, 13222, 689, 519, 7489, 4886, 7813, 267, 519, 3567, 7813, 585, 4139, 29046, 267, 519, 4139, 18966, 540, 519, 4414, 9061, 543, 4414, 595, 29266, 267, 519, 6167, 267, 543, 519, 3557, 7813, 540, 10476, 269, 634, 2319, 1558, 609, 519, 21621, 4658, 781, 8758, 21164, 540, 519, 1614, 16899, 267, 10272, 8697, 3506, 267, 5321, 267, 1072, 19190, 267, 12555, 1949, 267, 543, 14437, 547, 27142, 267, 543, 9763, 519, 10969, 566, 689, 519, 2011, 563, 1103, 3210, 547, 519, 14700, 267, 12448, 6008, 518, 814, 6069, 602, 519, 14232, 595, 294, 5870, 581, 1031, 547, 948, 20834, 1125, 6351, 547, 519, 2229, 585, 971, 2067, 12469, 269, 6008, 518, 814, 849, 13890, 2081, 519, 2622, 7813, 666, 948, 8804, 14317, 689, 519, 1699, 14700, 563, 17556, 518, 1767, 621, 568, 1631, 4742, 2312, 689, 3621, 2963, 593, 2916, 1689, 602, 10476, 786, 3136, 547, 7985, 971, 2621, 543, 602, 741, 8515, 568, 2693, 547, 1831, 3152, 563, 19285, 1131, 15974, 602, 649, 3343, 606, 6876, 693, 519, 595, 294, 5870, 602, 513, 2319, 540, 2229, 4966, 543, 22881, 22738, 513, 6006, 339, 1136, 3635, 2038, 538, 519, 4947, 1032, 267, 547, 1376, 4058, 585, 513, 2101, 1982, 540, 9541, 538, 513, 2039, 540, 2238, 630, 4148, 797, 6604, 267, 1216, 2359, 267, 2038, 9963, 267, 543, 17846, 264, 602, 1131, 948, 2061, 543, 2232, 2104, 971, 12469, 2437, 646, 5206, 538, 513, 4484, 547, 2558, 534, 2473, 10224, 717, 807, 267, 2212, 540, 519, 12080, 540, 12020, 543, 20971, 269, 834, 2304, 1271, 851, 540, 713, 1223, 581, 1489, 585, 513, 6433, 6051, 2508, 602, 1131, 581, 2139, 547, 8804, 5989, 543, 17612, 14317, 5612, 1310, 1022, 971, 2680, 4799, 17556, 518, 24298, 519, 2081, 543, 1797, 676, 799, 519, 2622, 7813, 666, 3533, 4217, 538, 519, 14317, 543, 16646, 4674, 269, 634, 7813, 814, 8815, 547, 946, 7482, 689, 513, 5892, 771, 321, 2720, 539, 5491, 547, 4217, 519, 3119, 3506, 543, 1453, 538, 519, 5722, 27876, 16899, 269, 634, 2724, 786, 581, 1031, 585, 4928, 7816, 543, 16646, 267, 4928, 11647, 267, 543, 3450, 11226, 543, 9499, 563, 13328, 7813, 1489, 585, 3441, 7816, 547, 12555, 543, 12775, 6703, 666, 581, 3177, 689, 796, 718, 11343, 543, 21045, 7482, 538, 519, 7054, 3419, 566, 29407, 5741, 538, 519, 16899, 540, 20707, 715, 836, 267, 2372, 836, 21601, 543, 2372, 836, 31436, 2967, 563, 4517, 547, 1489, 14317, 540, 6917, 1569, 9897, 267, 519, 3844, 16899, 616, 538, 519, 2990 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20904, 454, 763, 3811, 10380, 540, 2458, 2355, 1043, 536, 3326, 1841, 5956, 609, 22111, 4058, 543, 1620, 519, 1808, 4170, 540, 513, 4087, 269, 17291, 519, 1318, 4087, 568, 4105, 267, 4180, 602, 519, 536, 3326, 731, 5713, 922, 8825, 1599, 1510, 538, 30541, 1836, 791, 5338, 2834, 31355, 610, 3991, 7781, 3350, 269, 634, 2666, 2175, 267, 11895, 20848, 267, 543, 12775, 616, 2565, 9270, 269, 2755, 519, 10380, 1184, 3294, 1522, 2154, 26995, 267, 13307, 540, 519, 536, 3326, 731, 7271, 267, 543, 6368, 267, 2627, 11808, 267, 3318, 10380, 5849, 519, 536, 3326, 731, 3252, 5688, 958, 543, 26779, 16900, 609, 519, 4478, 1604, 269, 3958, 267, 621, 779, 1271, 547, 2015, 2436, 519, 536, 3326, 731, 3340, 4276, 547, 606, 5122, 2707, 610, 824, 1949, 267, 3226, 585, 519, 13128, 2010, 563, 14611, 5199, 540, 2458, 2355, 1043, 536, 3326, 1841, 267, 1247, 3622, 8766, 267, 568, 1898, 585, 741, 15325, 543, 5812, 2773, 269, 8617, 24422, 666, 948, 2697, 4191, 540, 5957, 267, 15309, 267, 610, 1761, 7344, 2152, 269, 1280, 8261, 536, 3326, 1841, 267, 10992, 519, 1327, 6362, 6127, 543, 1022, 3001, 2694, 666, 2061, 6727, 23659, 17313, 269, 4201, 11703, 536, 3326, 1841, 1522, 2154, 13350, 11974, 540, 741, 5907, 610, 17453, 1949, 269, 27686, 536, 3326, 1841, 267, 2523, 1346, 609, 12716, 26088, 267, 711, 1152, 10597, 741, 3308, 9029, 855, 849, 28863, 1996, 2825, 2188, 602, 666, 1291, 547, 21324, 269, 1635, 6220, 513, 6296, 5826, 8430, 267, 2950, 543, 21427, 666, 2327, 602, 891, 536, 3326, 1841, 2611, 606, 11972, 543, 2500, 3354, 4183, 538, 10821, 2127, 563, 22025, 1113, 12694, 543, 10298, 454, 12024, 1022, 5989, 3693, 267, 2458, 2355, 1043, 536, 3326, 1841, 616, 711, 1510, 741, 2591, 269, 2290, 1455, 6161, 568, 4180, 602, 7264, 543, 8436, 616, 5432, 609, 875, 519, 536, 3326, 1841, 7500, 267, 2523, 538, 2127, 1141, 741, 946, 1522, 581, 513, 3209, 1399, 269, 1703, 779, 513, 1761, 1981, 540, 6174, 21611, 609, 536, 3326, 1841, 602, 616, 30122, 6659, 267, 3056, 547, 3441, 610, 5945, 269, 769, 18002, 267, 519, 4028, 543, 796, 574, 6244, 539, 1569, 540, 3028, 6472, 666, 581, 513, 2339, 540, 1272, 543, 2669, 267, 543, 1022, 29840, 610, 8488, 538, 2458, 2355, 532, 519, 536, 3326, 1841, 666, 723, 3978, 6286, 269, 6271, 2009, 4161, 568, 519, 7344, 5957, 543, 15237, 610, 3441, 1813, 547, 5007, 2188, 267, 799, 666, 11904, 519, 536, 3326, 1841, 538, 6016, 762, 563, 11754, 7675, 891, 2591, 19329, 2146, 2069, 267, 2029, 267, 543, 2834, 5826, 269, 13068, 1129, 720, 543, 1857, 4656, 11044, 666, 581, 15747, 538, 5432, 1944, 7264, 609, 519, 536, 3326, 1841, 685, 5106, 267, 10893, 519, 1981, 540, 23139, 21611, 269, 23889, 536, 3326, 1841, 609, 6595, 3210, 1949, 5849, 789, 666, 581, 3533, 22485, 1282, 16839, 267, 3246, 796, 16442, 1229, 1569, 547, 6595, 6472, 269, 1306, 585, 7344, 2152, 267, 10115, 538, 1164, 7779, 536, 3326, 1841, 267, 20483, 676, 513, 11826, 5826, 6296, 267, 666, 3648, 2569, 519, 1981, 540, 29840, 269, 1280, 2127, 609, 7928, 3991, 7781, 3350, 267, 6220, 8596, 610, 32302, 666, 10332, 10256, 538, 1483, 6066, 267, 2417, 4227, 1761, 32657, 2355, 563, 17686, 2355, 1043, 536, 3326, 1841, 538, 10821, 2127, 2709, 513, 2189, 12760, 540, 3106, 267, 8112, 267, 543, 12716, 9029, 269, 1635, 1620, 741, 2934, 267, 2640, 267, 543, 1761, 2591, 267, 2950, 666, 10244, 741, 2407, 1761, 267, 2870, 10930, 543, 811, 18900, 16973, 269, 0, 763, 1101, 1900, 547, 1118, 2576, 12592, 547, 798, 741, 960, 568, 547, 1683, 873, 609, 3280, 5796, 269, 634, 3804, 540, 4758, 1434, 5796, 547, 606, 1367, 568, 547, 18663, 873, 547, 581, 1732, 607, 1480, 7919, 865, 789, 666, 1118, 519, 1158, 513, 1732, 1747, 547, 2661, 538, 1547, 4317, 960, 1281, 711, 1152, 7048, 593, 2724, 898, 849, 12346, 593, 5955, 267, 4687, 540, 8296, 267, 5009, 4708, 543, 5126, 269, 31802, 2501, 689, 5796, 269, 13295, 267, 8404, 814, 519, 1379, 547, 7369, 519, 1576, 540, 1686, 269, 4658, 949, 3262, 1434, 15884, 1472, 519, 1158, 676, 2870, 536, 22395, 540, 3280, 5796, 543, 7683, 13629, 873, 593, 1514, 2923, 267, 855, 31552, 873, 593, 1554, 547, 1554, 1272, 2306, 513, 5458, 3017, 269, 6764, 2391, 1697, 5796, 593, 3232, 1272, 814, 519, 1379, 547, 8300, 543, 1689, 513, 1268, 781, 1576, 538, 1272, 607, 519, 8797, 13508, 540, 1434, 5796, 3091, 1896, 5289, 543, 6848, 5383, 563, 9008, 540, 2985, 454, 321, 18847, 540, 2985, 0, 14240, 540, 4578, 715, 514, 10937, 454, 10574, 715, 514, 10937, 568, 606, 13016, 2165, 1419, 1031, 547, 4766, 606, 1367, 945, 19299, 11108, 1983, 538, 1239, 2079, 267, 1239, 12879, 267, 543, 1239, 14839, 269, 1452, 4966, 14133, 693, 2324, 609, 1804, 543, 1950, 14449, 267, 9001, 8579, 2645, 267, 5752, 4654, 267, 543, 3301, 547, 10625, 4030, 6456, 1369, 519, 1239, 269, 4578, 715, 514, 329, 553, 948, 3906, 1118, 1239, 12454, 3664, 676, 13321, 6151, 1344, 883, 3407, 267, 29829, 4987, 563, 763, 13093, 2045, 12332, 540, 968, 10574, 715, 514, 10937, 892, 568, 281, 270, 16659, 323, 19508, 339, 16745, 476, 16659, 333, 22688, 333, 390, 353, 16745, 270, 769, 519, 4139, 1912, 517, 2045, 22843, 630, 296, 5183, 1070, 621, 568, 281, 291, 1107, 1315, 323, 12458, 1107, 1315, 19508, 20081, 1107, 1315, 339, 12458, 1107, 1315, 16745, 21610, 1107, 1315, 333, 270, 296, 1107, 1315, 22688, 21610, 1107, 1315, 333, 32434, 1107, 1315, 390, 353, 12458, 1107, 1315, 16745, 13045, 268, 4578, 715, 514, 10937, 568, 606, 4359, 3760, 602, 24870, 538, 1239, 12642, 267, 13321, 6151, 1239, 883, 3407, 4030, 543, 1870, 4987, 563, 268, 898, 3091, 513, 2647, 2039, 540, 2934, 971, 607, 1239, 4393, 267, 14839, 267, 543, 3684, 1565, 267, 7175, 3755, 547, 1118, 5483, 3664, 543, 5397, 1870, 2208, 563, 268, 4578, 715, 514, 10937, 568, 2966, 585, 5698, 267, 4180, 602, 6887, 666, 3927, 960, 1927, 593, 3838, 3785, 267, 6908, 23164, 519, 1239, 2079, 1184, 543, 5807, 5647, 563, 27735, 540, 4578, 715, 514, 10937, 454, 763, 2165, 968, 10574, 715, 514, 10937, 892, 568, 1271, 538, 519, 7706, 540, 2029, 1317, 621, 4016, 547, 606, 1367, 609, 11108, 1983, 538, 22392, 267, 7421, 267, 543, 16208, 5318, 5666, 540, 1239, 563, 2026, 519, 1158, 5170, 547, 5352, 811, 1239, 982, 2479, 1354, 267, 519, 3747, 585, 891, 4966, 814, 2799, 28354, 1813, 547, 741, 2702, 547, 15407, 1239, 12454, 4030, 267, 1118, 5483, 3664, 267, 543, 1683, 3407, 3435, 547, 1950, 2042, 563, 10574, 715, 514, 329, 553, 4865, 513, 2178, 5748, 538, 7194, 267, 5752, 4654, 267, 543, 1239, 14839, 2645, 267, 7175, 873, 547, 521, 3424, 998, 1804, 14449, 543, 1349, 3407, 1344, 7561, 563, 4322, 4648, 2047, 3565, 547, 519, 1967, 540, 3906, 676, 26500, 6456, 3270, 267, 3466, 267, 543, 3255, 602, 5397, 2208, 267, 5647, 267, 543, 7580, 3206, 563, 10574, 715, 514, 10937, 4016, 547, 513, 3810, 9952, 1367, 609, 11108, 15334, 538, 7231, 609, 1804, 5666, 540, 1239, 267, 25935, 3407, 4030, 267, 543, 14139, 4359, 8579, 2553, 547, 3035, 1808, 1870, 3853, 267, 5397, 2208, 267, 543, 1683, 8013, 5413, 269, 4578, 715, 514, 329, 553, 723, 513, 2178, 5748, 538, 2780, 5752, 267, 1239, 14839, 267, 3684, 1565, 267, 543, 12642, 267, 7175, 873, 547, 24808, 1950, 1239, 3270, 543, 3466, 883, 17396, 543, 3362, 24669, 6386, 585, 3375, 24237, 563, 5445, 616, 1419, 3743, 585, 5883, 543, 7421, 5318, 12531, 540, 11295, 543, 13417, 19099, 1239, 267, 1247, 849, 1373, 740, 30794, 693, 2870, 543, 7598, 1239, 3631, 602, 7520, 10721, 2208, 543, 5647, 269, 634, 3119, 3483, 540, 513, 4578, 715, 514, 10937, 568, 547, 15407, 741, 6791, 547, 12260, 6456, 3255, 543, 11126, 10721, 2773, 1210, 519, 1379, 540, 1239, 563, 2414, 9585, 713, 267, 789, 8415, 741, 1983, 538, 1239, 840, 30112, 267, 4183, 4702, 267, 543, 2203, 2679, 543, 5542, 267, 547, 6038, 2981, 6151, 1239, 883, 29829, 4030, 269, 5015, 267, 789, 616, 7533, 538, 28043, 519, 7934, 1063, 2930, 543, 1875, 14482, 1013, 673, 6887, 267, 3927, 14379, 741, 4681, 543, 24758, 2930, 3822, 883, 6209, 1344, 602, 666, 5397, 7580, 3375, 6194, 563, 10574, 715, 514, 329, 553, 1404, 513, 4105, 1909, 538, 1585, 2872, 9922, 267, 8151, 689, 8804, 543, 3782, 547, 6725, 543, 10685, 267, 1141, 1239, 12454, 4030, 723, 1831, 7533, 547, 5571, 1967, 543, 6940, 563, 14300, 540, 4578, 715, 514, 10937, 454, 10574, 715, 514, 10937, 568, 711, 606, 4540, 610, 4922, 1634, 2029, 269, 1717, 267, 14322, 596, 5921, 513, 3810, 9952, 3318, 945, 1568, 609, 1239, 610, 606, 4274, 538, 519, 2361, 540, 1239, 12642, 267, 594, 666, 1683, 1614, 1483, 8996, 1806, 540, 1004, 1210, 4359, 1239, 12642, 538, 1585, 6080, 912, 10890, 3249, 281, 9869, 8558, 666, 2308, 1239, 4966, 547, 5659, 5318, 5666, 540, 3461, 1239, 547, 3589, 3461, 2115, 543, 1020, 10531, 5574, 269, 1280, 3236, 267, 2564, 4648, 1223, 946, 16762, 12642, 2645, 547, 6218, 3461, 5638, 543, 2697, 3676, 538, 519, 2038, 5933, 267, 3976, 7175, 12905, 543, 2500, 3461, 1416, 563, 306, 7964, 281, 12333, 5026, 6887, 666, 960, 609, 1239, 19767, 547, 11126, 6345, 2773, 543, 1020, 10888, 2994, 269, 1280, 1383, 267, 11176, 15731, 666, 946, 1239, 12454, 4030, 547, 5659, 6345, 9342, 267, 12755, 267, 543, 5945, 4220, 267, 4543, 873, 1118, 1732, 3664, 3823, 887, 3122, 2242, 267, 19132, 267, 543, 3014, 4566, 563, 15812, 7566, 281, 14992, 538, 1585, 6080, 666, 15407, 1239, 4966, 547, 2744, 4030, 883, 6075, 2623, 267, 7375, 267, 543, 3466, 269, 1635, 7421, 7082, 1239, 543, 10647, 2143, 2344, 1382, 267, 4213, 666, 20688, 741, 2472, 267, 2533, 267, 543, 6725, 2994, 811, 3927, 547, 4482, 543, 11677, 5561, 269, 901, 1239, 12454, 1935, 666, 1291, 547, 2799, 6455, 543, 4824, 2949, 6075, 9547, 563, 10574, 715, 514, 10937, 14174, 304, 454, 1432, 568, 513, 4578, 715, 514, 10937, 888, 288, 4578, 715, 514, 10937, 568, 513, 3318, 945, 24870, 538, 2324, 609, 5318, 5666, 540, 1239, 269, 1358, 616, 9952, 538, 1239, 2079, 267, 1239, 14839, 267, 543, 7598, 1239, 12454, 2994, 547, 948, 4213, 1118, 1732, 3664, 563, 1432, 1983, 798, 4578, 715, 514, 329, 553, 4865, 888, 10574, 715, 514, 329, 553, 616, 21295, 538, 1585, 1239, 2079, 2645, 267, 5752, 4654, 630, 7945, 607, 5124, 610, 681, 1070, 543, 1239, 12879, 2553, 269, 1358, 849, 723, 2178, 1966, 9010, 543, 2565, 3206, 1983, 267, 607, 1134, 607, 1702, 540, 7194, 543, 3684, 1565, 2553, 563, 1432, 6080, 798, 4578, 715, 514, 329, 553, 960, 538, 888, 10574, 715, 514, 329, 553, 666, 581, 1336, 538, 513, 2647, 2039, 540, 6080, 267, 1519, 8804, 267, 3782, 267, 6725, 267, 543, 2029, 269, 7102, 3602, 972, 568, 513, 991, 585, 1239, 2079, 543, 4030, 267, 4578, 715, 514, 329, 553, 666, 1118, 606, 1764, 563, 1692, 798, 594, 1831, 513, 4578, 715, 514, 10937, 888, 2414, 1831, 513, 4578, 715, 514, 10937, 267, 835, 3335, 2115, 547, 723, 513, 4282, 538, 2780, 2257, 267, 6128, 267, 610, 513, 1644, 2361, 269, 3958, 267, 11543, 4052, 1995, 998, 22631, 4721, 610, 2123, 3785, 267, 1565, 4143, 5752, 4654, 267, 543, 16565, 24501, 538, 1239, 12642, 543, 1239, 2257, 786, 948, 547, 6542, 707, 6791, 563, 1432, 568, 519, 3017, 1063, 513, 4578, 715, 514, 10937, 543, 513, 4578, 26831, 888, 4407, 519, 5107, 949, 723, 930, 16937, 267, 513, 4578, 715, 514, 10937, 568, 2356, 5059, 593, 1239, 2079, 543, 14839, 267, 1247, 513, 4578, 26831, 568, 811, 5059, 593, 2679, 543, 7598, 3684, 1565, 3631, 269, 1717, 267, 1312, 5107, 2154, 513, 2178, 5748, 538, 1239, 12879, 543, 2079, 2553, 563, 16665, 5303, 16301, 454, 268, 4578, 24630, 454, 268, 4578, 3163, 454, 268, 4578, 10439, 1436, 454, 268, 4578, 14086, 454, 268, 8262, 4578 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 715, 13052, 305, 4696, 16986, 568, 513, 1390, 22010, 689, 1018, 14368, 5505, 1185, 1354, 607, 519, 6131, 14368, 1670, 16986, 269, 715, 13052, 305, 4696, 2488, 782, 2010, 540, 1239, 543, 1344, 1031, 693, 782, 2053, 676, 519, 715, 16703, 543, 2817, 23587, 4741, 630, 301, 18449, 1070, 855, 621, 568, 711, 3501, 269, 715, 13052, 305, 4696, 2472, 616, 519, 3308, 2164, 540, 6620, 269, 1703, 568, 1100, 5690, 585, 1022, 14368, 1670, 2680, 602, 666, 3382, 782, 2009, 7653, 269, 4634, 6620, 723, 7687, 269, 9603, 547, 891, 7687, 267, 715, 13052, 305, 4696, 666, 711, 3713, 1142, 543, 1169, 14368, 1670, 3693, 602, 4386, 563, 5278, 1004, 1589, 519, 4600, 693, 715, 16703, 21610, 18449, 1058, 581, 3743, 585, 3246, 4365, 1239, 585, 782, 1004, 693, 782, 2053, 269, 634, 715, 16703, 21610, 18449, 4600, 616, 2907, 936, 1740, 539, 267, 896, 2006, 2740, 543, 4652, 24962, 543, 547, 723, 519, 18505, 1042, 5539, 540, 2348, 547, 1683, 4365, 1344, 602, 10039, 547, 1142, 1268, 693, 1022, 6074, 942, 568, 32601, 269, 901, 568, 7543, 2336, 2026, 585, 519, 3652, 543, 9021, 540, 519, 715, 16703, 543, 715, 18449, 282, 891, 616, 9598, 730, 676, 1004, 693, 1164, 2157, 540, 2229, 602, 2731, 1810, 1406, 723, 513, 23319, 607, 875, 513, 1483, 4365, 3510, 5932, 811, 960, 982, 4896, 1223, 7654, 2503, 269, 1284, 2503, 28986, 689, 519, 715, 16703, 21610, 18449, 543, 29153, 950, 28986, 1810, 1406, 2049, 563, 5804, 1018, 594, 1294, 607, 606, 31717, 20626, 267, 634, 715, 16703, 543, 715, 18449, 616, 3257, 4010, 1018, 568, 32486, 676, 2362, 22071, 543, 519, 2229, 269, 4256, 2816, 568, 547, 2149, 543, 24633, 519, 1857, 267, 711, 3313, 519, 12798, 4481, 693, 476, 11277, 13235, 9335, 538, 7102, 3602, 7147, 563, 263, 2690, 2417, 7778, 540, 519, 3441, 3361, 676, 594, 651, 267, 6306, 689, 519, 19996, 12798, 543, 1216, 267, 5225, 1224, 3487, 5565, 540, 18842, 1723, 2836, 659, 328, 779, 16823, 5816, 14182, 4700, 0, 3086, 602, 707, 2370, 835, 568, 11319, 476, 273, 547, 476, 274, 1296, 267, 972, 616, 811, 1919, 585, 596, 547, 798, 547, 10802, 1010, 1272, 269, 2659, 9525, 538, 1010, 3356, 568, 2565, 585, 1864, 547, 1118, 519, 1034, 540, 891, 2038, 1296, 563, 2791, 616, 4440, 711, 6005, 1010, 3384, 1688, 11558, 269, 1411, 949, 8275, 1631, 875, 646, 3180, 22916, 976, 543, 22796, 543, 1256, 519, 1259, 646, 4249, 609, 9162, 269, 1684, 596, 1589, 646, 786, 581, 1318, 26370, 610, 2451, 26370, 286, 898, 568, 711, 865, 596, 666, 3310, 799, 1688, 568, 1010, 2392, 558, 3729, 1688, 267, 855, 1175, 865, 596, 666, 581, 609, 1864, 593, 1010, 1646, 563, 2791, 723, 849, 4440, 8068, 602, 646, 568, 3257, 811, 1919, 676, 5128, 982, 1175, 513, 2110, 942, 3516, 269, 1261, 568, 2693, 547, 2119, 547, 10571, 5128, 585, 1732, 610, 8338, 269, 2353, 891, 616, 5615, 547, 17192, 1864, 585, 543, 547, 5000, 1864, 547, 798, 811, 563, 5194, 1858, 540, 1646, 596, 616, 2693, 547, 5469, 568, 602, 646, 21593, 4730, 609, 824, 1453, 269, 1411, 786, 1294, 1010, 1514, 1983, 3384, 543, 891, 616, 1271, 585, 1864, 563, 1607, 1858, 540, 1010, 7209, 568, 835, 602, 814, 2731, 1044, 1305, 1394, 585, 782, 6502, 1282, 519, 6855, 269, 5753, 1223, 711, 1404, 609, 824, 1453, 543, 713, 814, 1305, 873, 1394, 538, 3384, 891, 1514, 1983, 269, 12315, 1864, 513, 4960, 547, 1404, 609, 824, 1453, 543, 1451, 875, 547, 798, 621, 563, 10214, 4730, 609, 596, 2337, 1864, 1020, 1514, 1983, 563, 7476, 13047, 267, 5985, 454, 4407, 621, 568, 1271, 547, 1020, 1893, 1983, 676, 6158, 267, 1776, 1259, 568, 547, 5000, 13465, 269, 7327, 21543, 30053, 543, 824, 8964, 609, 707, 1126, 269, 1684, 1560, 3350, 547, 2731, 1205, 883, 519, 13465, 269, 1261, 786, 2972, 519, 3350, 543, 621, 568, 1434, 585, 1864, 269, 901, 949, 1256, 5000, 824, 7574, 1983, 547, 2097, 856, 563, 26807, 569, 1869, 5000, 1010, 6863, 543, 1702, 543, 1565, 811, 827, 519, 1158, 676, 2921, 15211, 267, 9683, 15882, 267, 8021, 267, 14060, 267, 11614, 543, 18186, 657, 269, 5272, 3602, 596, 979, 972, 568, 1454, 547, 581, 4121, 269, 13185, 827, 519, 4025, 596, 616, 2469, 547, 979, 547, 855, 1287, 2911, 827, 873, 950, 596, 723, 1044, 972, 563, 13480, 609, 1864, 593, 3785, 269, 594, 798, 711, 1611, 596, 1058, 1491, 936, 519, 1788, 269, 15439, 960, 22290, 1864, 547, 5000, 1864, 543, 2972, 1018, 568, 8345, 1927, 269, 901, 666, 581, 1148, 3785, 267, 21338, 9162, 267, 610, 5986, 1426, 563, 8196, 10203, 811, 982, 2479, 543, 3142, 538, 8228, 5022, 269, 1411, 786, 1294, 930, 31163, 17331, 602, 538, 513, 2110, 1247, 1522, 1175, 1831, 5022, 610, 2338, 563, 30860, 1010, 4797, 2702, 547, 3802, 267, 2196, 267, 7914, 267, 5577, 267, 1909, 543, 18214, 269, 1261, 568, 3395, 909, 543, 1565, 811, 543, 811, 1983, 269, 1411, 786, 5469, 713, 1482, 3356, 538, 1010, 6863, 563, 5194, 3364, 596, 1522, 5469, 568, 602, 607, 646, 814, 5063, 1044, 3395, 513, 2603, 267, 646, 849, 568, 1419, 29134, 543, 949, 1256, 723, 930, 2963, 540, 2191, 21915, 337, 4548, 269, 670, 836, 538, 972, 269, 1684, 711, 936, 516, 716, 269, 13185, 609, 1864, 269, 19415, 547, 1864, 269, 4518, 609, 1864, 593, 1373, 3461, 563, 1607, 568, 606, 3078, 942, 609, 707, 1762, 1126, 269, 17949, 707, 942, 1927, 563, 290, 2106, 628, 807, 9410, 568, 519, 13653, 540, 519, 3689, 11819, 1982, 543, 5449, 10324, 8689, 540, 9977, 532, 25198, 7690, 267, 799, 32245, 3377, 24393, 585, 3237, 267, 15637, 543, 22594, 269, 1280, 811, 1344, 267, 4757, 547, 4757, 11333, 2593, 610, 1289, 476, 11740, 268, 6924, 272, 268, 18597, 271, 269, 0, 289, 3008, 2975, 631, 4785, 2975, 5990, 12088, 454, 763, 1739, 568, 513, 2854, 7778, 540, 519, 1739, 3584, 912, 15578, 674, 25893, 570, 8008, 12903, 912, 272, 264, 28042, 3502, 566, 454, 273, 264, 634, 476, 1321, 11872, 540, 8535, 910, 634, 28042, 22843, 454, 274, 264, 634, 16065, 454, 275, 264, 634, 7581, 325, 454, 276, 264, 18780, 540, 11872, 454, 272, 264, 631, 4785, 13965, 10691, 9569, 454, 15404, 673, 3502, 566, 568, 519, 700, 20315, 308, 17803, 540, 2575, 563, 12626, 3096, 5022, 543, 8535, 3096, 4967, 454, 2791, 666, 1224, 2575, 1175, 607, 1134, 607, 596, 666, 1224, 2296, 2336, 273, 264, 5990, 476, 1321, 10691, 2464, 5508, 631, 4785, 2975, 454, 12441, 596, 917, 286, 2334, 972, 616, 1152, 476, 1321, 4967, 538, 5375, 8535, 454, 17829, 4967, 616, 454, 288, 589, 258, 645, 595, 595, 258, 667, 667, 258, 661, 674, 674, 258, 717, 717, 16482, 763, 4063, 589, 258, 568, 1767, 607, 281, 1412, 288, 1744, 17369, 7055, 25444, 4063, 814, 513, 8325, 4849, 585, 645, 543, 661, 454, 268, 1703, 568, 1100, 645, 16482, 268, 1703, 568, 1100, 661, 16482, 763, 3845, 1063, 835, 4063, 543, 519, 1985, 568, 1572, 513, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 589, 547, 589, 258, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 589, 258, 547, 645, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 645, 547, 595, 568, 21450, 630, 272, 264, 590, 4932, 3951, 24535, 454, 763, 3845, 689, 595, 547, 667, 568, 29375, 302, 263, 273, 264, 590, 4932, 3951, 2177, 2464, 454, 763, 3845, 689, 589, 547, 645, 568, 29375, 302, 630, 273, 264, 590, 4932, 3951, 2177, 2464, 454, 274, 264, 5990, 5254, 288, 13697, 454, 763, 5234, 568, 1500, 909, 540, 476, 276, 3515, 543, 476, 275, 5624, 538, 799, 4967, 616, 5116, 883, 630, 320, 1899, 610, 513, 2230, 994, 275, 264, 5990, 595, 4041, 293, 454, 288, 7581, 325, 568, 1018, 2337, 2285, 4967, 741, 4408, 269, 1703, 616, 1082, 1114, 2010, 540, 1579, 12028, 543, 1169, 6293, 2115, 513, 1808, 1579, 325, 269, 2913, 781, 1445, 593, 1079, 2442, 1579, 12028, 282, 519, 570, 3918, 25770, 1579, 325, 543, 519, 645, 19798, 7581, 325, 563, 763, 2871, 10560, 3096, 519, 570, 3918, 25770, 595, 4041, 293, 563, 276, 264, 715, 4456, 2464, 5508, 10691, 2464, 10396, 5990, 5254, 288, 13697, 454, 5629, 649, 723, 513, 5254, 288, 13697, 609, 513, 595, 4041, 293, 593, 621, 267, 649, 666, 1376, 20803, 4967, 856, 563, 4131, 781, 1376, 609, 519, 570, 3918, 25770, 595, 4041, 293, 593, 519, 5254, 288, 13697, 1101, 2676, 763, 9501, 3722, 2464, 593, 713, 5234, 616, 454, 763, 9501, 3722, 2464, 11963, 674, 19781, 454, 288, 2442, 27099, 585, 1565, 519, 3515, 616, 454, 9336, 6153, 15196, 2677, 12883, 8342, 910, 661, 717, 645, 667, 674, 454, 763, 22217, 652, 1505, 568, 10203, 707, 4967, 909, 610, 1524, 519, 7574, 9904, 563, 17472, 2316, 4753, 281, 634, 5857, 1186, 610, 6366, 14201, 1405, 18886, 267, 1175, 519, 2898, 4967, 281, 589, 645, 595, 667, 661, 674, 717, 0, 20112, 4393, 7041, 540, 519, 7626, 585, 946, 538, 1585, 2472, 1280, 5215, 540, 1296, 519, 2262, 4154, 814, 25664, 539, 1945, 540, 5898, 610, 1871, 1452, 2592, 616, 6508, 689, 1079, 3601, 540, 4154, 922, 7990, 543, 922, 3114, 7990, 540, 4154, 568, 1813, 547, 519, 5907, 2497, 540, 519, 4154, 11046, 799, 25309, 13590, 5982, 609, 20966, 1447, 982, 476, 28794, 271, 2587, 560, 668, 338, 3267, 2026, 513, 3056, 2518, 10672, 540, 11493, 3937, 267, 17819, 3937, 28504, 7675, 3937, 28504, 11538, 3937, 543, 536, 686, 638, 8291, 3937, 3092, 269, 649, 2709, 4359, 267, 7787, 3435, 585, 1022, 2450, 3146, 9134, 4170, 267, 1519, 26755, 267, 14919, 267, 8860, 2504, 543, 2347, 2030, 1544, 269, 1403, 596, 616, 5461, 538, 891, 1587, 267, 5225, 3346, 721, 563, 289, 8681, 8745, 281, 674, 1774, 7557, 10320, 454, 32101, 281, 20957, 13404, 270, 29323, 1807, 2030, 454, 14611, 16811, 2433, 26836, 8302, 267, 1764, 8302, 267, 17200, 8302, 267, 29404, 3684, 267, 29976, 267, 3440, 1984, 267, 3492, 15249, 267, 3092, 563, 290, 2643, 5407, 27519, 281, 476, 280, 268, 26326, 332, 23326, 454, 303, 3174, 27519, 281, 476, 272, 269, 280, 268, 10602, 9143, 295, 454, 32101, 16186, 281, 24322, 540, 5599, 267, 7626, 18689, 2747, 267, 4070, 2326, 543, 3114, 4702, 563, 293, 29623, 21081, 983, 640, 281, 476, 6344, 268, 5611, 271, 7825, 454, 303, 3174, 27519, 281, 476, 272, 268, 13136, 271, 339, 10774, 454, 293, 3975, 14956, 2287, 281, 476, 5611, 9943, 7742, 268, 8182, 271, 9943, 13975, 271, 7825, 454, 293, 29623, 12025, 281, 476, 271, 268, 1911, 271, 7825, 454, 3682, 22422, 27519, 281, 476, 1789, 268, 4335, 9143, 295, 454, 7343, 29736, 7698, 281, 5211, 18574, 267, 14680, 267, 25342, 267, 1666, 5306, 267, 1019, 15390, 267, 543, 525, 924, 543, 865, 593, 563, 293, 29623, 12025, 281, 18016, 1839, 268, 19749, 353, 1789, 7825, 454, 11514, 12737, 532, 12025, 281, 476, 271, 269, 10219, 268, 476, 271, 269, 271, 4510, 7825, 454, 303, 3174, 27519, 281, 476, 273, 268, 12293, 9143, 295, 454, 293, 29623, 2450, 281, 476, 21878, 268, 25616, 7825, 454, 3682, 22422, 4390, 281, 476, 3393, 268, 4335, 339, 10774, 454, 7343, 29736, 1570, 281, 5757, 890, 6277, 956, 267, 7725, 630, 3916, 9693, 267, 25342, 267, 1666, 5306, 267, 1019, 15390, 267, 543, 525, 924, 267, 3092, 13776, 7626, 2766, 902, 563, 763, 16019, 1184, 3096, 31529, 20841, 547, 1349, 23606, 950, 4154, 568, 693, 13621, 1448, 23606, 5094, 883, 513, 4494, 593, 519, 2627, 540, 519, 25183, 29881, 4154, 634, 16019, 1184, 568, 4028, 543, 2241, 855, 621, 7472, 4154, 540, 1152, 827, 476, 4200, 276, 2600, 19454, 634, 654, 2129, 331, 15884, 1184, 4679, 19454, 547, 827, 476, 15886, 280, 2600, 676, 14793, 3974, 5415, 19672, 454, 1692, 4154, 11547, 2030, 1568, 28176, 6516, 4154, 11547, 2030, 6516, 4137, 513, 5755, 840, 704, 566, 2030, 513, 2095, 6516, 540, 513, 476, 6110, 9522, 829, 5662, 5755, 2030, 602, 2661, 10004, 12222, 6029, 519, 1184, 540, 4154, 5599, 3367, 2859, 11822, 2480, 11490, 14301, 2986, 11635, 20957, 13870, 13242, 5415, 19672, 454, 763, 595, 7709, 1184, 589, 3625, 6503, 6516, 540, 513, 6093, 595, 7709, 2030, 585, 513, 1875, 10915, 847, 800, 4154, 7626, 568, 3254, 538, 7612, 476, 273, 7305, 594, 543, 7305, 4083, 9414, 519, 3854, 543, 5665, 1942 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1592, 729, 811, 3875, 269, 1809, 1346, 4408, 581, 4501, 352, 322, 877, 1253, 532, 1639, 538, 519, 16311, 585, 2531, 514, 542, 267, 711, 538, 519, 3635, 540, 3160, 2924, 281, 519, 1004, 729, 18348, 539, 282, 519, 10504, 540, 519, 1634, 1158, 11542, 538, 991, 540, 513, 4487, 563, 3918, 303, 308, 13993, 2975, 3198, 6608, 267, 538, 2489, 267, 616, 538, 9651, 540, 25010, 689, 519, 10841, 754, 656, 540, 1880, 1249, 687, 267, 543, 689, 519, 4573, 29532, 6891, 540, 513, 1093, 4501, 352, 335, 592, 864, 267, 945, 1373, 18348, 539, 267, 616, 1100, 3476, 3514, 547, 8525, 476, 31172, 2671, 538, 519, 7245, 540, 1533, 269, 1809, 896, 824, 24284, 267, 1141, 15698, 949, 581, 811, 6707, 25189, 952, 2367, 616, 18348, 539, 267, 519, 14255, 4501, 352, 339, 1308, 10149, 712, 23229, 689, 519, 6057, 540, 602, 1360, 3354, 799, 568, 22876, 3293, 676, 519, 9277, 829, 4501, 352, 325, 1254, 540, 1857, 1931, 563, 288, 3892, 540, 1379, 543, 5604, 282, 606, 4291, 340, 4501, 352, 5406, 540, 1876, 267, 676, 799, 8994, 1651, 25209, 906, 543, 12387, 652, 725, 616, 4547, 547, 606, 1439, 282, 676, 799, 519, 1268, 543, 519, 3959, 616, 267, 1510, 2828, 267, 609, 4501, 352, 719, 9348, 531, 267, 1510, 17185, 267, 9985, 17956, 547, 538, 4501, 352, 323, 1339, 338, 267, 1281, 22632, 547, 519, 21184, 540, 513, 4182, 282, 543, 1223, 711, 723, 1044, 4628, 3964, 267, 1510, 1346, 11851, 687, 540, 1620, 543, 8699, 267, 1346, 8062, 540, 513, 759, 5193, 543, 24526, 6891, 267, 799, 19799, 519, 3045, 1023, 540, 513, 1004, 267, 543, 4734, 547, 2104, 6502, 513, 1641, 540, 1175, 25621, 543, 3365, 1021, 269, 1809, 952, 649, 15475, 602, 519, 1439, 568, 25189, 267, 543, 602, 2367, 1100, 3476, 957, 267, 538, 519, 18399, 540, 15073, 4501, 352, 22360, 267, 689, 12666, 27742, 267, 610, 609, 513, 2070, 547, 519, 11091, 540, 1857, 25654, 282, 952, 967, 643, 328, 4501, 352, 706, 1023, 1589, 2933, 5150, 1510, 1022, 22887, 4501, 352, 5406, 610, 4674, 540, 741, 1378, 282, 713, 1630, 16556, 1443, 534, 4501, 352, 5653, 949, 581, 1336, 1152, 547, 2285, 873, 606, 1727, 677, 340, 4501, 352, 333, 640, 540, 11981, 267, 693, 16837, 267, 519, 7036, 13853, 543, 2122, 2456, 540, 1272, 282, 610, 267, 538, 519, 1893, 540, 595, 6737, 267, 4001, 873, 547, 1871, 741, 8075, 267, 741, 5636, 553, 267, 741, 24112, 267, 543, 741, 5961, 267, 693, 513, 2362, 2557, 982, 789, 798, 519, 14081, 269, 1358, 949, 581, 1336, 547, 1332, 13110, 538, 5728, 540, 513, 1863, 11156, 267, 540, 799, 789, 2760, 24044, 547, 30107, 538, 741, 3221, 320, 4501, 352, 5406, 267, 543, 799, 789, 2141, 10714, 538, 741, 598, 4501, 352, 2265, 563, 17273, 476, 28178, 5990, 12178, 547, 15698, 616, 711, 519, 1641, 540, 938, 1459, 7156, 282, 855, 789, 666, 2760, 581, 3152, 689, 1022, 2014, 982, 789, 616, 689, 519, 9277, 1121, 1170, 1145, 540, 513, 1004, 267, 547, 4171, 2123, 10149, 712, 1169, 11156, 267, 607, 621, 7640, 539, 922, 3715, 4501, 352, 618, 267, 865, 1590, 3136, 547, 28297, 922, 11091, 269, 7439, 568, 713, 26460, 2479, 1447, 5150, 982, 621, 568, 538, 519, 15896, 540, 2367, 945, 1589, 602, 789, 2972, 621, 538, 3106, 267, 543, 945, 4061, 2015, 519, 1857, 1152, 607, 621, 6799, 547, 741, 1285, 541, 823, 513, 1297, 540, 561, 340, 4501, 352, 13062, 894, 2308, 906, 282, 585, 519, 19160, 540, 799, 789, 949, 15093, 1346, 1360, 2924, 799, 11904, 873, 4501, 352, 2383, 3615, 540, 2359, 610, 7156, 563, 293, 15375, 519, 12402, 540, 891, 18759, 267, 1287, 267, 621, 1058, 2408, 267, 602, 513, 3084, 6891, 568, 1954, 4501, 352, 638, 1836, 23644, 267, 711, 593, 2272, 540, 1022, 1651, 9092, 1253, 655, 704, 538, 519, 2470, 540, 18495, 267, 855, 593, 1035, 4501, 352, 12248, 540, 741, 17319, 10714, 338, 543, 18348, 687, 269, 901, 6891, 7449, 13554, 9003, 267, 5310, 267, 538, 519, 608, 324, 4501, 352, 322, 1081, 540, 513, 1906, 3785, 267, 9411, 883, 585, 519, 1035, 4501, 352, 638, 9974, 540, 8513, 610, 5763, 282, 621, 2501, 267, 899, 513, 24631, 14049, 267, 547, 581, 9788, 11735, 1310, 922, 1439, 568, 693, 4501, 352, 22633, 563, 16704, 2562, 14473, 24284, 2165, 3729, 538, 513, 556, 4501, 352, 331, 1314, 566, 540, 10149, 712, 267, 543, 616, 13546, 977, 783, 547, 519, 840, 4501, 352, 338, 3569, 540, 2829, 282, 1317, 789, 1291, 18495, 547, 7048, 593, 741, 6575, 267, 3079, 540, 741, 21644, 267, 543, 547, 12161, 585, 606, 6454, 540, 1480, 2470, 267, 513, 6071, 1569, 542, 540, 22098, 267, 610, 540, 13284, 1127, 269, 769, 4501, 352, 560, 4801, 602, 6830, 1518, 519, 2247, 267, 8300, 10100, 267, 543, 3895, 3084, 21688, 30008, 267, 666, 2760, 4043, 547, 3084, 25010, 563, 17273, 476, 28656, 4959, 621, 711, 2009, 267, 9624, 938, 25621, 540, 6575, 267, 547, 1265, 930, 1747, 585, 891, 286, 2913, 2829, 5443, 267, 945, 616, 703, 27434, 609, 519, 2229, 540, 6082, 267, 16253, 585, 2933, 269, 898, 568, 741, 1870, 547, 1352, 342, 267, 2436, 789, 18214, 883, 10473, 540, 900, 29561, 267, 8806, 547, 4159, 513, 6612, 585, 1719, 267, 799, 789, 1185, 1732, 32696, 538, 2116, 2579, 282, 543, 2436, 789, 723, 4390, 547, 1174, 519, 8788, 540, 513, 1004, 267, 519, 2932, 540, 4171, 12602, 789, 616, 865, 8348, 547, 22738, 563, 763, 1482, 1641, 4797, 563, 300, 2894, 4749, 267, 1247, 789, 1353, 547, 708, 4501, 352, 2889, 557, 741, 6830, 17480, 267, 10714, 2933, 282, 543, 1247, 789, 2601, 585, 741, 2197, 267, 7340, 519, 9270, 602, 1034, 17330, 741, 3007, 269, 10606, 267, 13284, 1127, 267, 543, 519, 824, 2200, 540, 2112, 267, 616, 3810, 1271, 16123, 359, 855, 6082, 2874, 540, 2367, 16123, 359, 543, 513, 4182, 9967, 540, 632, 2102, 4733, 543, 10800, 731, 569, 2367, 267, 568, 4617, 282, 513, 4182, 9967, 540, 24526, 267, 1857, 1606, 2869, 1243, 267, 543, 759, 5193, 2367, 267, 568, 2178, 269, 634, 2200, 540, 2112, 267, 1141, 824, 5383, 616, 3160, 267, 949, 6430, 513, 16311, 282, 855, 519, 2200, 540, 2112, 267, 538, 3946, 602, 3112, 2308, 873, 267, 616, 540, 1100, 1992, 563, 309, 7644, 307, 16604, 568, 513, 2556, 25499, 540, 3084, 4222, 281, 4390, 267, 543, 513, 24526, 1620, 267, 616, 1100, 1447, 2556, 547, 2844, 519, 19539, 540, 2829, 269, 5637, 616, 4824, 676, 9015, 267, 543, 676, 519, 608, 4501, 352, 2075, 2478, 538, 799, 2367, 616, 7722, 269, 1284, 16339, 1047, 267, 610, 649, 533, 640, 267, 519, 2603, 540, 18495, 267, 1247, 789, 5030, 896, 7334, 24284, 267, 543, 941, 8078, 539, 547, 2844, 538, 519, 1482, 1268, 267, 519, 1915, 540, 519, 521, 6511, 4501, 352, 30004, 267, 519, 2829, 2006, 267, 543, 519, 17199, 269, 2717, 1639, 6082, 3605, 267, 602, 1022, 835, 540, 891, 3197, 568, 6190, 538, 835, 1268, 282, 543, 602, 519, 7475, 540, 1142, 267, 950, 771, 14765, 1441, 267, 616, 811, 3362, 12913, 269, 634, 1101, 267, 2705, 267, 941, 6381, 896, 799, 6082, 4359, 543, 605, 4944, 1229, 282, 519, 2034, 941, 8525, 476, 24783, 1346, 538, 799, 519, 6891, 17159, 267, 543, 519, 4182, 4682, 547, 9178, 563, 25446, 949, 267, 609, 1434, 2601, 267, 7249, 7806, 3634, 938, 2249, 593, 741, 2348, 23012, 689, 513, 1533, 540, 3046, 4501, 352, 8663, 748, 4524, 543, 5208, 267, 883, 513, 1533, 540, 798, 4501, 352, 332, 4382, 4708, 543, 2834, 3609, 282, 950, 789, 723, 1352, 520, 1117, 519, 546, 16925, 267, 543, 771, 28534, 519, 1918, 657, 885, 540, 3540, 1543, 542, 282, 950, 519, 9604, 609, 799, 789, 25077, 616, 519, 2601, 902, 540, 519, 8797, 267, 543, 519, 11469, 540, 519, 1714, 13228, 550, 269, 1809, 649, 3112, 267, 1611, 4501, 352, 5503, 267, 948, 547, 26845, 267, 602, 789, 1058, 2479, 605, 4501, 352, 3865, 267, 538, 3406, 540, 19870, 267, 547, 1747, 1169, 7936, 540, 7245, 3297, 519, 4831, 267, 543, 2097, 547, 2308, 267, 3079, 540, 519, 2829, 2006, 543, 24116, 267, 519, 6071, 804, 17064, 543, 2272, 656, 563, 289, 312, 8876, 713, 1062, 547, 922, 4463, 267, 2367, 616, 13473, 267, 945, 1223, 5299, 585, 19332, 1010, 4108, 5528, 267, 610, 1256, 14892, 513, 851, 540, 1010, 4566, 282, 855, 9039, 945, 1223, 957, 538, 782, 519, 1114, 10207, 585, 799, 519, 6205, 5128, 1590, 581, 11727, 267, 538, 519, 1533, 543, 538, 519, 2361, 267, 538, 2053, 540, 1931, 610, 540, 31341, 267, 538, 2053, 540, 6498, 610, 540, 796, 534, 14383, 282, 9039, 945, 1223, 606, 1493, 519, 14643, 950, 18064, 324, 4501, 352, 7992, 593, 8723, 14026, 267, 610, 950, 15372, 539, 676, 6285, 689, 13383, 563, 15578, 3609, 540, 3624, 568, 519, 1034, 3501, 2203, 540, 606, 11460, 267, 693, 799, 519, 8723, 13217, 906, 540, 2229, 616, 6322, 282, 543, 519, 11317, 540, 713, 10504, 4865, 267, 538, 519, 5207, 4110, 267, 1346, 6575, 593, 799, 5175, 3258, 8186, 1118, 519, 21688, 30008, 543, 30493, 540, 6082, 547, 4096, 269, 634, 1533, 814, 9715, 267, 538, 513, 2268, 796, 3225, 6817, 538, 519, 1686, 540, 18495, 267, 2338, 540, 2367, 267, 543, 519, 8525, 476, 26552, 824, 2200, 540, 2112, 269, 1358, 723, 2944, 1018, 649, 616, 1360, 19038, 547, 23507, 282, 789, 723, 4547, 562, 10620, 4501, 352, 4689, 12602, 547, 519, 1377, 540, 519, 1611, 652, 3040, 1892, 335, 13369, 282, 789, 723, 13264, 873, 883, 2694, 267, 543, 16207, 873, 883, 5094, 13623, 282, 789, 723, 8052, 1117, 1169, 23312, 609, 26672, 573, 18428, 267, 543, 14734, 525, 4501, 352, 3749, 3029, 282, 543, 1141, 519, 27527, 540, 3029, 3112, 1065, 816, 4524, 267, 513, 11826, 543, 4049, 1093, 4501, 352, 331, 823, 267, 11439, 609, 1169, 2249, 540, 6144, 531, 19439, 4501, 352, 618, 267, 568, 4294, 547, 519, 3483, 269, 634, 627, 760, 267, 543, 519, 524, 644, 326, 601, 267, 616, 4371, 909, 547, 782, 9753, 540, 2367, 282, 789, 616, 693, 2899, 6964, 267, 543, 789, 616, 23487, 539, 676, 1169, 4012, 626, 3433, 269, 589, 8260, 25978, 568, 627, 5792, 267, 585, 2348, 10288, 513, 4584, 335, 12714, 547, 4309, 1932, 1906, 610, 1932, 1082, 9514, 338, 563, 14110, 28475, 8257, 540, 1533, 568, 1500, 519, 1073, 4501, 352, 915, 540, 513, 5094, 3924, 267, 543, 1169, 11134, 585, 5604, 1590, 723, 5293, 998, 513, 2834, 1196, 340, 4501, 352, 322, 566, 282, 543, 267, 607, 538, 519, 4271, 725, 540, 519, 796, 1853, 4501, 352, 338, 640, 267, 1590, 723, 5833, 676, 1010, 15334, 267, 610, 1010, 7555, 267, 519, 4110, 547, 799, 646, 29954, 2231, 269, 634, 5513, 684, 1023, 540, 1533, 267, 540, 2112, 267, 543, 540, 519, 8907, 267, 607, 1134, 607, 540, 3332, 267, 616, 5342, 676, 20021, 538, 741, 1114, 2090, 282, 855, 1247, 1565, 568, 519, 1390, 4155, 547, 4782, 618, 267, 621, 2165, 7149, 267, 538, 1373, 2111, 547, 1224, 267, 543, 547, 2328, 282, 543, 519, 1390, 1843, 540, 2229, 5161, 538, 9870, 267, 543, 538, 598, 4501, 352, 8999, 532, 519, 5613, 540, 519, 3618, 269, 2060, 782, 891, 2200, 267, 543, 713, 4121, 7041, 267, 799, 568, 1500, 547, 2490, 891, 2200, 547, 946, 267, 519, 1533, 568, 538, 4641, 4617, 282, 814, 14578, 2016, 519, 1383, 799, 649, 3343, 547, 2491, 282, 543, 1851, 519, 7189, 540, 2112, 610, 540, 3609, 267, 1851, 519, 6634, 945, 616, 1305, 6306, 585, 519, 4108, 3924, 267, 666, 1265, 9039, 540, 922, 2818, 945, 616, 3514, 547, 1796, 8521, 538, 519, 8525, 476, 22430, 12178, 540, 741, 2197, 267, 610, 547, 1106, 513, 20237, 513, 4501, 352, 326, 664, 560, 519, 7368, 538, 30030, 540, 606, 10546, 1065, 3176, 547, 581, 1148, 1652, 543, 1611, 563, 3951, 568, 2352, 547, 2995, 875, 1279, 519, 9178, 540, 2829, 1522, 581, 17735, 676, 519, 14713, 540, 6575, 593, 799, 741, 1483, 21688, 30008, 543, 4222, 632, 4501, 352, 12323, 282, 676, 14237, 538, 519, 2362, 16034, 1346, 15421, 585, 519, 14643, 543, 519, 2361, 267, 799, 3112, 267, 1510, 1390, 19319, 267, 581, 9674, 282, 543, 538, 519, 1560, 540, 513, 1004, 267, 602, 1990, 7002, 585, 741, 2197, 267, 543 ]

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

[ 8638, 609, 513, 7649, 543, 1865, 1312, 5011, 9425, 269, 5457, 267, 1620, 543, 19825, 3309, 5380, 2337, 1628, 6793, 2950, 780, 1103, 3932, 267, 6313, 3661, 1949, 2636, 721, 547, 2263, 1114, 2081, 540, 7487, 519, 1158, 269, 3414, 1565, 827, 1585, 3929, 6114, 543, 8026, 1930, 16490, 1145, 267, 649, 1831, 1134, 25454, 2043, 5827, 540, 10188, 1950, 5717, 543, 8508, 4763, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 15987, 1206, 593, 18972, 543, 4033, 12292, 454, 3891, 13273, 543, 3618, 616, 678, 3578, 1652, 267, 543, 1521, 519, 16221, 7068, 607, 12450, 5243, 563, 20288, 5320, 547, 519, 28980, 9990, 454, 1805, 3863, 17268, 568, 606, 4323, 593, 519, 796, 628, 9722, 4978, 540, 3206, 1004, 269, 4653, 12666, 1480, 1143, 814, 519, 24245, 1379, 602, 729, 2899, 22234, 676, 7000, 4984, 269, 5274, 1235, 899, 547, 1589, 789, 723, 513, 7787, 2070, 540, 519, 1158, 282, 855, 741, 4295, 3661, 538, 3356, 568, 513, 22530, 819, 267, 2417, 689, 519, 5168, 827, 519, 1480, 3662, 982, 1022, 540, 519, 1158, 779, 10764, 563, 11073, 2515, 540, 2257, 267, 3356, 568, 3274, 513, 7242, 269, 769, 930, 3988, 540, 853, 3863, 17268, 713, 8343, 4667, 547, 723, 3812, 513, 5837, 11784, 269, 17610, 569, 267, 789, 2307, 267, 1100, 835, 666, 2243, 519, 3844, 2376, 540, 5132, 540, 12666, 7239, 286, 9453, 621, 267, 786, 649, 711, 21817, 286, 6145, 1726, 3387, 1782, 8841, 2103, 17512, 1881, 540, 9561, 741, 5132, 267, 891, 1480, 1235, 804, 532, 547, 519, 26615, 3887, 22760, 2156, 322, 1228, 540, 11636, 4126, 269, 4653, 3909, 21071, 616, 811, 1863, 6253, 9722, 269, 3220, 1508, 547, 519, 19114, 540, 513, 2528, 538, 799, 2257, 6811, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 23527, 1299, 21771, 1315, 4937, 1315, 30248, 1299, 10017, 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 ]

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

[ 286, 594, 1616, 547, 1451, 811, 827, 2870, 2212, 619, 543, 3723, 619, 269, 9786, 6478, 1281, 1489, 513, 1297, 540, 1374, 3681, 593, 875, 547, 1711, 2212, 619, 543, 3723, 619, 269, 3371, 568, 513, 1164, 1377, 5758, 281, 476, 272, 269, 589, 6131, 10624, 585, 2212, 619, 543, 3723, 619, 269, 17677, 26487, 1775, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 25090, 274, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 9786, 6478, 1280, 5839, 14642, 454, 1432, 3657, 590, 30708, 538, 9786, 6478, 454, 1432, 616, 6810, 538, 9786, 6478, 286, 1548, 666, 594, 798, 609, 6810, 286, 590, 30708, 538, 9786, 6478, 1450, 596, 547, 7941, 513, 3561, 883, 1114, 2694, 267, 865, 602, 596, 666, 3898, 1142, 851, 8335, 269, 1280, 1383, 267, 952, 596, 1616, 519, 1283, 851, 540, 513, 2985, 547, 4159, 1257, 538, 835, 6241, 267, 543, 519, 5377, 851, 547, 8420, 320, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14530, 275, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 6478, 5839, 454, 15411, 9786, 6478, 22276, 11711, 607, 22276, 454, 1692, 547, 1930, 513, 9786, 6478, 22276, 11711, 607, 513, 10959, 286, 594, 1616, 547, 12189, 519, 10959, 269, 1403, 596, 5595, 26487, 593, 513, 9786, 6478, 10959, 3758, 267, 621, 786, 1930, 621, 607, 513, 6478, 3561, 267, 711, 607, 513, 10959, 267, 1317, 6478, 568, 3206, 596, 1616, 547, 1711, 513, 1007, 3561, 689, 519, 10959, 269, 1403, 596, 1616, 1930, 513, 6478, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14338, 271, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 454, 295, 728, 24225, 29485, 769, 9786, 6478, 1280, 5839, 338, 454, 8794, 10361, 619, 22077, 2393, 619, 538, 9786, 6478, 454, 8489, 547, 1265, 4267, 547, 4749, 4280, 2055, 593, 1210, 2212, 619, 543, 3723, 619, 538, 9786, 6478, 286, 594, 1616, 547, 1451, 875, 547, 946, 2212, 619, 543, 3723, 619, 269, 3371, 568, 513, 1592, 540, 4749, 4280, 2055, 543, 741, 4267, 16432, 676, 674, 312, 296, 22487, 2593, 2319, 593, 875, 547, 946, 2212, 619, 543, 3723, 619, 538, 9786, 6478, 281, 1261, 1228, 1862, 476, 1001, 277, 268, 6187, 268, 1839, 267, 476, 14093, 277, 6930, 495, 491, 267, 476, 271, 6930, 496, 361, 0, 1692, 666, 596, 581, 5423, 585, 519, 20389, 610, 20554, 1449, 888, 6701, 596, 827, 547, 9096, 1164, 1153, 543, 596, 616, 11842, 875, 666, 596, 1205, 547, 2362, 2069, 286, 15394, 1053, 723, 513, 2603, 2055, 827, 713, 1184, 267, 789, 917, 602, 538, 3013, 972, 2461, 1079, 11400, 20554, 610, 20389, 547, 15378, 22026, 585, 2852, 267, 855, 799, 835, 798, 789, 723, 547, 1491, 286, 2107, 267, 875, 789, 666, 5965, 2933, 585, 621, 888, 306, 2969, 610, 20554, 1449, 454, 13828, 11400, 616, 25422, 6444, 13387, 4255, 543, 1455, 16075, 4170, 585, 2475, 30793, 2471, 543, 29550, 267, 865, 972, 568, 1100, 513, 2582, 2953, 4781, 269, 1717, 267, 519, 20554, 1449, 3800, 1018, 519, 1053, 1058, 917, 8720, 519, 2326, 602, 789, 2907, 4121, 1282, 1164, 1153, 543, 519, 20389, 1449, 568, 811, 607, 513, 27667, 540, 1018, 513, 2875, 568, 5827, 547, 1451, 563, 1692, 547, 5965, 3054, 888, 31535, 713, 267, 786, 948, 596, 547, 6430, 519, 835, 1655, 14018, 547, 707, 2115, 269, 2991, 602, 267, 621, 568, 1271, 547, 1445, 593, 513, 2582, 1449, 267, 1205, 606, 2856, 540, 1018, 519, 1449, 568, 899, 543, 1711, 513, 1353, 1544, 269, 4438, 713, 3003, 3460, 267, 596, 991, 23468, 585, 596, 547, 917, 519, 1900, 596, 1058, 1246, 267, 602, 779, 1946, 2348, 3318, 543, 10531, 7041, 609, 513, 19579, 4116, 786, 2709, 596, 513, 7463, 1576, 585, 596, 547, 4487, 519, 1543, 543, 2511, 540, 519, 2243, 596, 786, 723, 538, 707, 981, 676, 2348, 513, 2603, 2259, 563, 5472, 713, 1344, 543, 811, 621, 779, 2139, 593, 281, 3447, 10000, 2561, 0, 2704, 6975, 4223, 331, 871, 267, 835, 540, 519, 15713, 7855, 540, 3039, 7998, 543, 2278, 540, 519, 1433, 2048, 7072, 547, 5682, 11061, 8730, 2824, 338, 1010, 19463, 4574, 538, 5682, 11061, 713, 3923, 7498, 302, 548, 21129, 1558, 520, 4185, 538, 25694, 2923, 267, 808, 11047, 710, 8751, 848, 330, 543, 808, 14660, 2102, 5576, 28739, 267, 5682, 6314, 1421, 476, 1001, 274, 267, 476, 1428, 267, 476, 23211, 278, 1700, 22001, 279, 267, 20396, 281, 476, 1015, 269, 9818, 280, 14727, 274, 24774, 25148, 5655, 298, 454, 1607, 1058, 2014, 835, 547, 1589, 827, 875, 1082, 8906, 3056, 547, 713, 1267, 941, 1500, 676, 4960, 269, 29464, 18479, 17458, 1470, 540, 5918, 303, 2632, 4362, 1558, 520, 4185, 950, 646, 1031, 513, 544, 8432, 321, 6577, 636, 18463, 538, 513, 2098, 20672, 2401, 12249, 1436, 540, 2802, 22005, 538, 476, 4198, 278, 269, 27557, 547, 1205, 5812, 2164, 609, 512, 32500, 15279, 778, 3271, 728, 941, 13777, 850, 2394, 621, 729, 1336, 602, 512, 32500, 2135, 12682, 25523, 18608, 728, 5249, 1134, 269, 4107, 1558, 520, 4185, 27857, 941, 6213, 547, 2011, 543, 7509, 269, 1717, 267, 513, 2196, 609, 513, 19872, 678, 583, 1156, 1756, 6070, 5249, 1175, 607, 1134, 607, 519, 606, 5139, 9317, 7623, 269, 901, 2689, 6227, 960, 2094, 1287, 269, 634, 2361, 540, 22169, 2221, 21256, 689, 23139, 8906, 563, 20181, 5860, 4874, 26120, 729, 1336, 950, 2447, 1235, 693, 594, 5746, 6836, 547, 2746, 22904, 531, 24957, 609, 2802, 22005, 543, 3893, 513, 10250, 540, 2011, 538, 519, 10514, 269, 4400, 5860, 4874, 26120, 729, 4362, 676, 20913, 2098, 20672, 2401, 945, 729, 4974, 519, 23731, 518, 25534, 1436, 540, 2802, 22005, 609, 2468, 14007, 531, 26891, 950, 513, 10250, 540, 19695, 689, 513, 13148, 19345, 10514, 5795, 1152, 476, 272, 1532, 583, 2940, 269, 1879, 646, 6836, 24489, 25543, 18608, 728, 670, 7894, 292, 4646, 269, 14844, 3279, 4362, 8305, 846, 29193, 12249, 1436, 950, 646, 6905, 519, 5114, 547, 4412, 22005, 269, 5450, 718, 18152, 27857, 585, 519, 12249, 1436, 540, 522, 548, 325, 1231, 676, 918, 7530, 5652, 941, 4362, 950, 513, 2875, 8959, 547, 24120, 513, 12249, 1436, 609, 9436, 269, 1773, 6064, 9116, 540, 5918, 303, 2632, 4362, 4874, 6025, 25523, 22381, 19660, 26120, 264, 950, 513, 12718, 1634, 547, 581, 2407, 540, 519, 1395, 9593, 5950, 1100, 1395, 9593, 269, 18430, 532, 22169, 941, 1336, 676, 1744, 4275, 330, 11867, 267, 5839, 13312, 1301, 573, 543, 1261, 1122, 518, 950, 513, 2875, 2322, 476, 1911, 271, 2053, 1932, 1454, 18463, 538, 513, 12249, 1436, 540, 1035, 25485, 2940, 269, 1323, 22752, 5114, 267, 27229, 547, 3313, 519, 1543, 540, 5595, 7554, 267, 4951, 875, 547, 546, 2100, 621, 563, 11754, 547, 891, 2164, 540, 694, 16781, 760, 640, 267, 670, 5861, 269, 9466, 779, 6602, 540, 8652, 321, 2610, 1247, 3843, 547, 2569, 513, 5595, 6125, 609, 546, 756, 528, 2033, 269, 18564, 519, 1297, 540, 17587, 26065, 13752, 585, 519, 1585, 8906, 563, 763, 5048, 568, 267, 952, 1945, 8966, 4523, 267, 2638, 547, 1294, 1946, 563, 16391, 545, 19857, 6954, 543, 3608, 5478, 540, 6198, 1242, 27794, 6289, 665, 15009, 1023, 3842, 835, 1790, 582, 512, 30802, 6547, 267, 700, 597, 784, 19358, 267, 645, 26820, 29399, 267, 715, 908, 18708, 267, 28001, 9149, 267, 1627, 559, 514, 13198, 267, 654, 523, 344, 328, 6931, 543, 2473, 21838, 784, 16441, 267, 5682, 6314, 1421, 476, 1001, 274, 267, 476, 1428, 267, 476, 26951, 280, 1700, 26801, 274, 267, 20396, 281, 476, 1015, 269, 9818, 280, 14727, 274, 24774, 30156, 4792, 288, 454, 293, 23341, 1242, 27794, 6289, 665, 15009, 1023, 941, 4646, 3842, 3440, 17819, 4553, 676, 24318, 1783, 1709, 269, 634, 5114, 729, 2196, 609, 513, 1804, 4430, 540, 5256, 545, 606, 5139, 20183, 538, 476, 736, 260, 25694, 16247, 545, 3679, 269, 3143, 5214, 19857, 729, 1459, 269, 2991, 3440, 532, 585, 606, 5662, 267, 24318, 1783, 1709, 585, 476, 278, 3108, 5795, 513, 476, 8618, 260, 6556, 609, 476, 271, 269, 4097, 4110, 540, 18839, 269, 898, 1522, 581, 1434, 547, 12990, 1447, 5256, 545, 3679, 543, 547, 2196, 513, 3803, 8258, 19479, 676, 8022, 269, 4033, 1395, 12002, 1223, 581, 6836, 607, 1134, 269, 0, 26872, 674, 7238, 2958, 18033, 29868, 293, 2176, 7564, 1777, 19314, 338, 16577, 267, 1590, 11851, 513, 3982, 3310, 2390, 519, 3618, 779, 6419, 2783, 563, 8170, 10787, 611, 599, 781, 17033, 7811, 1179, 2827, 267, 2523, 593, 3196, 543, 2339, 267, 621, 568, 1360, 2352, 547, 1106, 513, 1175, 17748, 6902, 789, 616, 865, 13737, 267, 543, 865, 1114, 689, 519, 2093, 799, 2367, 540, 2257, 1631, 2356, 3180, 593, 891, 5396, 282, 789, 616, 6829, 538, 1893, 1419, 4190, 267, 855, 7282, 519, 3169, 2495, 540, 799, 621, 568, 4749, 1034, 2352, 547, 1205, 513, 2312, 10206, 269, 3571, 2247, 5526, 689, 2038, 2053, 547, 723, 1044, 829, 341, 12184, 676, 1079, 6378, 2093, 2433, 538, 519, 1101, 1747, 267, 676, 519, 24235, 602, 782, 519, 19183, 540, 1648, 616, 11214, 4448, 282, 543, 538, 519, 2034, 267, 602, 519, 2962, 540, 4229, 693, 513, 3845, 1510, 513, 5832, 540, 3310, 11006, 873, 1927, 267, 568, 606, 21494, 640, 269, 2353, 1010, 8783, 1179, 2827, 10443, 538, 835, 610, 824, 540, 891, 1079, 9055, 269, 1261, 729, 7683, 8097, 2358, 2390, 519, 5872, 540, 519, 4229, 540, 2470, 281, 262, 5275, 538, 713, 1259, 646, 4362, 5292, 3279, 545, 15632, 267, 11275, 334, 3887, 10431, 640, 267, 519, 2962, 540, 11275, 1143, 593, 1769, 267, 543, 519, 5203, 1275, 540, 519, 6419, 2783, 540, 2339, 269, 1261, 729, 7683, 7722, 538, 3843, 547, 3142, 28040, 2787, 3294, 883, 519, 19259, 539, 5858, 267, 855, 2760, 16309, 267, 543, 5206, 513, 1957, 10503, 1010, 2942, 6901, 13886, 3040, 11872, 593, 519, 2009, 4039, 566, 540, 32322, 1412, 609, 24542, 610, 14333, 267, 855, 713, 729, 711, 3370, 269, 3973, 646, 267, 899, 645, 8113, 990, 747, 267, 2219, 602, 782, 519, 9259, 540, 2470, 1223, 581, 20039, 585, 1510, 519, 1139, 3789, 540, 519, 6228, 540, 2339, 267, 676, 14322, 1978, 18013, 540, 3196, 269, 634, 2360, 4767, 616, 3976, 9277, 547, 581, 4547, 827, 676, 519, 5872, 540, 1585, 4229, 11851, 532, 2933, 693, 513, 2016, 1448, 538, 2230, 267, 543, 711, 267, 607, 568, 3622, 5156, 267, 676, 519, 1114, 1860, 687, 540, 2339, 269, 3571, 2856, 540, 10414, 262, 729, 602, 540, 513, 6405, 6228, 11207, 693, 13065, 609, 519, 4214, 540, 519, 22301, 267, 642, 714, 1421, 602, 799, 7472, 610, 11148, 547, 3132, 5788, 332, 10056, 9538, 898, 6157, 693, 1101, 8289, 5526, 547, 581, 513, 13737, 1249, 602, 4352, 10787, 611, 599, 781, 2247, 8604, 547, 581, 7683, 2324, 538, 713, 4287, 267, 543, 4352, 646, 22234, 8097, 1379, 540, 519, 1360, 5207, 2186, 267, 2943, 646, 1705, 711, 3801, 547, 1118, 11050, 1999, 5209, 540, 519, 30424, 540, 891, 1585, 3029, 540, 1648, 282, 3976, 267, 585, 3236, 267, 540, 11589, 3002, 538, 2474, 540, 7344, 5163, 269, 901, 1616, 630, 553, 621, 6157, 5526, 264, 538, 10787, 611, 599, 781, 2247, 21256, 689, 519, 1249, 602, 646, 1705, 711, 4628, 10146, 519, 7182, 540, 519, 4031, 540, 1648, 607, 6956, 676, 22697, 267, 15029, 519, 7411, 630, 514, 519, 1439, 513, 21042, 9713, 835, 264, 799, 646, 5433, 538, 18468, 602, 1079, 4703, 693, 513, 3845, 1223, 957, 2390, 835, 1776, 267, 3366, 1864, 547, 8263, 519, 6228, 540, 3515, 540, 3196, 262, 11006, 607, 621, 941, 519, 454, 321, 3672, 1927, 269, 1452, 3515, 540, 3196, 646, 2965, 12034, 538, 519, 14258, 799, 4401, 2083, 902, 2039, 2933, 5180, 513, 11275, 267, 543, 1010, 12667, 9345, 5961, 547, 1010, 2247, 781, 3750, 519, 6228, 540, 2147, 3515, 540, 3196, 262, 8164, 1022, 2962, 693, 513, 3845, 4386, 282, 3976, 646, 14753, 540, 519, 26149, 540, 519, 1412, 6419, 3515, 540, 3196, 10086, 646, 2369, 2478, 1585, 5686, 540, 3515, 454, 1993, 3196, 267, 3515, 540, 1178, 10903, 908, 3196, 267, 1346, 540, 6850, 3613, 1738, 1802, 322, 1892, 512, 542, 267, 1346, 540, 6419, 2962, 267, 543, 1866, 851, 1136, 540, 513, 6422, 1915, 1522, 581, 5310, 3769, 25692, 265, 10414, 10086, 3081, 14977, 526, 718, 267, 2108, 8604, 547, 1864, 606, 11769, 23029, 2059 ]

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

[ 344, 267, 20999, 269, 476, 1960, 272, 269, 1323, 6827, 1537, 22627, 269, 9628, 281, 2160, 540, 9628, 4964, 563, 300, 1638, 518, 267, 6341, 13183, 320, 269, 476, 1001, 273, 269, 968, 8072, 10521, 18467, 685, 6100, 769, 13474, 267, 7111, 7170, 543, 17905, 267, 12995, 676, 25014, 3821, 918, 269, 1284, 597, 269, 5291, 2517, 788, 816, 269, 534, 340, 12975, 28898, 270, 1952, 338, 270, 1504, 11988, 270, 1613, 11305, 870, 787, 260, 273, 290, 266, 333, 894, 266, 27583, 266, 663, 266, 1815, 1108, 270, 279, 6924, 272, 270, 577, 6860, 11258, 258, 339, 665, 318, 5658, 518, 268, 279, 630, 17739, 539, 476, 279, 5437, 476, 1001, 274, 1040, 2052, 828, 571, 281, 4888, 308, 661, 4964, 563, 300, 1495, 710, 267, 30622, 517, 269, 476, 1960, 280, 269, 968, 306, 5306, 4248, 6100, 769, 17865, 4248, 267, 645, 4157, 340, 6441, 1551, 978, 599, 25109, 6390, 10418, 267, 476, 2420, 1700, 276, 269, 17638, 281, 21469, 338, 563, 300, 684, 2426, 584, 337, 267, 4303, 3387, 531, 760, 340, 267, 1696, 620, 269, 476, 2735, 278, 269, 12409, 20126, 540, 519, 13067, 601, 1343, 2578, 637, 540, 519, 20233, 333, 3620, 777, 8500, 16323, 267, 29036, 23172, 1335, 8092, 269, 962, 597, 337, 330, 8403, 281, 20233, 333, 327, 777, 8500, 13067, 601, 1343, 5948, 563, 10468, 340, 523, 26709, 339, 267, 20913, 269, 476, 1960, 274, 269, 968, 312, 1054, 340, 962, 785, 328, 543, 717, 534, 2742, 6100, 4750, 540, 8241, 5525, 476, 4343, 281, 476, 272, 1700, 1556, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 13893, 25396, 6795, 274, 6021, 274, 9262, 272, 5379, 454, 301, 545, 565, 267, 23436, 269, 476, 1960, 274, 269, 968, 290, 11857, 267, 11426, 543, 21664, 6100, 17828, 19468, 476, 272, 270, 273, 281, 476, 2537, 1700, 4029, 563, 301, 4899, 24540, 269, 476, 1220, 280, 269, 3281, 6160, 800, 9752, 538, 2296, 585, 519, 3689, 9050, 25980, 540, 3962, 3427, 4303, 269, 16817, 281, 4972, 540, 4065, 543, 9751, 563, 301, 4899, 24540, 10029, 269, 476, 3707, 271, 1700, 5038, 269, 7111, 10029, 18103, 12099, 2920, 563, 302, 685, 10673, 24274, 267, 13690, 267, 543, 3967, 564, 23765, 269, 476, 1001, 272, 269, 968, 8794, 717, 534, 2742, 11310, 19457, 607, 513, 1546, 3712, 517, 2358, 13979, 547, 10985, 12020, 543, 11120, 10949, 6100, 9338, 2752, 476, 1704, 270, 273, 281, 476, 15389, 1700, 6321, 563, 302, 3944, 1180, 6261, 1046, 518, 267, 10370, 526, 517, 267, 1696, 620, 1421, 32308, 269, 476, 1001, 274, 269, 6176, 16370, 543, 7087, 18877, 269, 2052, 828, 571, 281, 3642, 2969, 306, 3041, 3194, 563, 15031, 4459, 267, 24697, 269, 476, 1220, 279, 269, 968, 300, 559, 2869, 686, 6100, 715, 2998, 517, 329, 809, 476, 3451, 281, 476, 7871, 1700, 2568, 563, 15031, 4459, 267, 24697, 267, 30683, 29385, 543, 21142, 13340, 269, 476, 1220, 279, 269, 31436, 584, 571, 10275, 584, 1663, 269, 7705, 25951, 281, 19164, 11310, 31913, 3194, 10418, 563, 8110, 9469, 267, 24981, 267, 543, 16205, 807, 18999, 2023, 267, 32308, 269, 476, 1220, 279, 269, 3689, 26880, 269, 24332, 281, 24332, 2160, 14539, 563, 303, 10455, 577, 267, 30227, 267, 543, 12756, 1855, 25564, 10011, 21034, 269, 476, 1220, 278, 269, 769, 18361, 540, 11059, 3194, 267, 12995, 676, 8834, 17217, 543, 23664, 776, 17659, 12064, 267, 476, 4391, 280, 1700, 5952, 269, 5507, 281, 590, 17803, 563, 28403, 1047, 269, 476, 1001, 274, 269, 968, 1432, 1772, 1160, 12723, 6100, 5291, 2517, 4178, 269, 13440, 1758, 1047, 3820, 28898, 11320, 1506, 270, 6343, 28104, 3491, 12723, 630, 17739, 539, 476, 1321, 5437, 476, 1001, 274, 1916, 3725, 2106, 9529, 267, 9400, 808, 269, 476, 1220, 276, 269, 968, 763, 4065, 540, 8241, 16971, 543, 8776, 637, 26463, 3674, 1633, 518, 4841, 6100, 19974, 4065, 476, 11025, 270, 272, 281, 476, 4029, 1700, 277, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 1822, 280, 2412, 6321, 269, 1220, 276, 269, 10755, 22659, 4391, 454, 305, 1054, 6202, 267, 22956, 269, 476, 1220, 280, 269, 968, 28989, 3557, 540, 16457, 6100, 634, 8241, 267, 1724, 5988, 269, 5291, 2517, 4178, 31677, 320, 26894, 2593, 28898, 30406, 4882, 13446, 15581, 6361, 268, 3530, 4202, 23995, 800, 3887, 277, 325, 337, 326, 277, 333, 277, 268, 9340, 9340, 6434, 274, 2004, 278, 275, 630, 17739, 539, 476, 1724, 5437, 476, 1001, 274, 1916, 4537, 17369, 267, 6348, 773, 269, 476, 1960, 277, 269, 3143, 18103, 2435, 7225, 8540, 269, 2052, 828, 571, 281, 16971, 5525, 4964, 563, 1805, 889, 15838, 267, 808, 650, 267, 543, 8834, 14480, 8663, 6953, 718, 269, 476, 1960, 275, 269, 968, 312, 1054, 340, 962, 785, 328, 779, 2048, 307, 805, 344, 685, 6100, 15019, 8535, 476, 1724, 270, 274, 281, 476, 25838, 1700, 6795, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 278, 13478, 271, 2918, 14625, 4968, 1822, 278, 1240, 273, 454, 307, 600, 529, 926, 267, 8071, 320, 269, 476, 1960, 279, 269, 968, 28694, 267, 17496, 543, 11873, 6100, 7909, 807, 476, 6924, 281, 476, 27149, 1700, 3583, 563, 1320, 1682, 517, 267, 1325, 3570, 267, 17363, 11023, 1097, 543, 590, 3415, 320, 13428, 576, 269, 476, 1001, 271, 269, 968, 294, 534, 2742, 7869, 543, 12059, 4149, 10725, 22505, 268, 14946, 618, 5358, 6996, 585, 16971, 543, 8776, 637, 26463, 29474, 15272, 6100, 22505, 5004, 5623, 476, 1724, 270, 275, 281, 476, 27123, 1700, 1789, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 6200, 277, 10768, 4732, 332, 337, 269, 1001, 271, 269, 4905, 269, 9826, 454, 307, 7758, 1195, 333, 267, 22123, 269, 476, 1220, 277, 269, 968, 306, 29330, 2334, 29553, 6100, 12745, 476, 4029, 281, 476, 14681, 1700, 5038, 563, 1765, 1220, 278, 269, 968, 2691, 5272, 7853, 1703, 8625, 3973, 594, 11910, 2334, 2290, 6100, 12745, 476, 3953, 281, 476, 10755, 1700, 2641, 563, 1765, 1220, 280, 269, 968, 295, 2788, 10158, 6100, 8535, 1108, 5245, 476, 4029, 281, 476, 6078, 1700, 7830, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 32146, 3393, 279, 6872, 269, 1220, 280, 269, 10441, 13679, 8064, 454, 307, 7758, 1195, 333, 267, 22123, 267, 681, 7431, 3619, 1758, 25475, 8176, 543, 15593, 11986, 715, 592, 326, 527, 269, 476, 1001, 274, 269, 968, 11847, 27074, 566, 540, 14576, 10049, 547, 8081, 3955, 23400, 28298, 540, 11310, 827, 5678, 538, 519, 13690, 828, 2917, 16323, 540, 19566, 5245, 6100, 769, 29510, 19932, 15332, 21940, 2456, 267, 12995, 676, 6307, 13191, 7439, 1845, 1696, 620, 1421, 476, 1240, 1700, 2190, 269, 24872, 281, 7690, 585, 29510, 19932, 563, 307, 584, 11017, 267, 3733, 325, 1415, 269, 476, 1220, 278, 269, 968, 9209, 2685, 26726, 6100, 8535, 1108, 5245, 476, 3066, 281, 476, 11152, 1700, 10482, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 10482, 271, 270, 32146, 3393, 279, 6872, 269, 1220, 278, 269, 10441, 13679, 3445, 454, 1765, 1001, 273, 269, 968, 306, 784, 6261, 334, 4479, 540, 6239, 5245, 6100, 5678, 11657, 566, 543, 13517, 476, 1015, 281, 476, 1428, 1700, 3607, 563, 307, 584, 11017, 267, 3733, 325, 1415, 267, 543, 24553, 918, 5255, 269, 476, 1220, 279, 269, 968, 763, 5678, 540, 16971, 14576, 338, 6100, 769, 5651, 874, 1108, 543, 5678, 3778, 267, 12995, 676, 1849, 18311, 645, 1077, 333, 267, 21861, 342, 2106, 27213, 543, 30511, 320, 12130, 7942, 267, 476, 15757, 1700, 8146, 269, 24545, 281, 5484, 329, 7530, 563, 307, 584, 11017, 267, 3733, 325, 1415, 267, 25414, 320, 6008, 6277, 1231, 543, 15537, 2859, 344, 267, 32308, 269, 476, 1001, 271, 269, 8241, 4750, 540, 23008, 2524, 476, 1001, 271, 270, 272, 563, 310, 20490, 267, 24796, 267, 1696, 620, 269, 476, 2735, 280, 269, 7327, 532, 519, 8092, 267, 6178, 532, 519, 8092, 269, 2983, 13717, 281, 1546, 752, 514, 2160, 4964, 563, 26156, 2421, 267, 8349, 267, 543, 1546, 4011, 1695, 670, 11445, 6363, 549, 601, 747, 269, 476, 1220, 274, 269, 968, 13706, 725, 538, 12160, 2218, 11059, 3194, 1879, 11554, 9061, 2275, 738, 12147, 6100, 674, 16288, 1912, 517, 12278, 320, 1696, 8298, 30249, 539, 3821, 476, 4649, 281, 476, 4968, 1700, 276, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 12893, 280, 270, 1822, 5881, 274, 26562, 454, 19365, 338, 267, 27211, 269, 476, 2735, 277, 269, 634, 962, 565, 20692, 543, 4256, 8092, 269, 2052, 828, 571, 281, 3642, 3008, 563, 312, 597, 337, 330, 8403, 7991, 3427, 11059, 6828, 269, 476, 2735, 279, 269, 27870, 513, 717, 534, 2742, 15099, 538, 962, 565, 20692, 12140, 269, 962, 597, 337, 330, 8403, 281, 962, 597, 337, 330, 8403, 7991, 3427, 563, 312, 312, 293, 269, 476, 1220, 273, 269, 717, 12609, 15048, 593, 7087, 8535, 543, 13437, 563, 1765, 1001, 274, 269, 717, 12609, 16635, 269, 5291, 2517, 4178, 13885, 344, 325, 2593, 28898, 630, 17739, 539, 476, 736, 5239, 476, 1001, 274, 1916, 312, 684, 1575, 514, 340, 267, 8895, 1551, 342, 8500, 267, 1696, 620, 269, 476, 2735, 279, 269, 4446, 2426, 320, 15048, 563, 312, 684, 1575, 514, 340, 267, 13495, 1177, 8500, 269, 476, 1960, 271, 269, 968, 23458, 543, 5295, 6100, 769, 5678, 20904, 267, 5295, 543, 4065, 538, 8241, 16971, 12745, 338, 267, 12995, 676, 2441, 710, 9546, 2023, 543, 5261, 17378, 15838, 267, 476, 274, 1700, 277, 269, 16817, 281, 24857, 308, 4964, 563, 1765, 1960, 275, 269, 968, 312, 1054, 340, 962, 785, 328, 6100, 17813, 543, 4147, 476, 3374, 270, 275, 281, 476, 14625, 1700, 736, 269, 5291, 2517, 11459, 269, 8742, 3820, 270, 1015, 269, 14056, 278, 270, 27157, 277, 4375, 6924, 280, 29889, 4335, 31404, 454, 313, 528, 322, 267, 681, 269, 6424, 269, 476, 1960, 277, 269, 962, 565, 20692, 5336, 24048, 9218, 267, 3115, 11781, 269, 15506, 3832, 3271, 281, 15506, 3832, 3271, 5441, 563, 290, 1941, 267, 26826, 269, 476, 1220, 272, 320, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 24332, 267, 476, 279, 4728, 269, 14675, 10916, 563, 1765, 1220, 272, 321, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 24332, 267, 476, 2918, 2904, 269, 14675, 10916, 563, 1765, 1220, 276, 269, 968, 300, 663, 1177, 8500, 962, 684, 1575, 514, 340, 26906, 676, 26826, 12397, 6100, 2052, 828, 571, 281, 2817, 7732, 540, 5245, 269, 476, 25396, 26783, 4343, 269, 14675, 10916, 563, 1765, 1220, 279, 269, 968, 17556, 1597, 808, 2086, 6359, 514, 11985, 18536, 26906, 676, 26826, 12397, 6100, 2052, 828, 571, 281, 2817, 7732, 540, 5245, 269, 476, 275, 2767, 278, 2767, 1724, 269, 14675, 10916, 563, 8624, 10696, 12942, 269, 476, 2735, 275, 269, 918, 3019, 756, 9346, 9412, 269, 7705, 25951, 281, 1955, 1706, 10937, 594, 7876, 303, 1911, 272, 269, 700, 303, 2594, 563, 1765, 2735, 277, 269, 5274, 11146, 269, 645, 5142, 321, 2033, 281, 32254, 4103, 31266, 277, 1321, 273, 269, 700, 303, 2594, 563, 292, 770, 17714, 269, 476, 1001, 273, 269, 2871, 342, 752, 269, 715, 327, 592, 684, 321, 8500, 281, 5101, 17714, 661, 297, 9826, 269, 3281, 716, 1167, 563, 294, 1551, 534, 8932, 269, 476, 1001, 271, 269, 717, 1551, 534, 8932, 630, 290, 10635, 617, 850, 29321, 1040, 962, 597, 337, 330, 8403, 281, 20233, 333, 327, 777, 8500, 13067, 601, 1343, 5948, 269, 3281, 716, 1167, 563, 7883, 13860, 269, 476, 2735, 273, 269, 13336, 540, 9255, 269, 17638, 281, 654, 12788, 476, 7785, 14096, 269, 700, 303, 2594, 563, 297, 28427, 267, 15537, 267, 546, 597, 269, 476, 1220, 271, 269, 962, 565, 20692, 15196, 269, 24332, 281, 20066, 8606, 916, 476, 13136, 7918, 16256, 310, 269, 23861, 563, 298, 11481, 267, 6754, 267, 543, 519, 11619, 12310, 269, 476, 1960, 273, 269, 26726, 12085, 269, 24332, 281, 631, 2313, 3336, 667, 28906, 4366, 269, 3281, 716, 1167, 563, 300, 573, 9519, 13813, 269, 476, 2735, 278, 269, 667, 19342, 543, 28545, 269, 17638, 281, 595, 7034, 15509, 7034, 29121, 22650, 273, 269, 3281, 716, 1167, 563, 301, 629, 541, 548, 330, 269, 476, 1960, 280, 269, 16189, 342, 584, 337, 330, 630, 289, 2313, 13933, 1040, 16817, 281, 4787, 4883, 344, 8127, 8535 ]

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

[ 485, 337, 268, 25207, 268, 391, 490, 5953, 339, 26444, 15899, 267, 519, 9030, 3090, 540, 519, 4168, 4984, 267, 11291, 532, 519, 14265, 322, 32267, 542, 540, 4906, 2441, 543, 519, 28099, 25977, 2640, 540, 1010, 32425, 543, 2669, 269, 634, 3444, 568, 3976, 513, 1129, 1312, 540, 2441, 5128, 543, 540, 519, 5132, 540, 10271, 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 ]

[ 692, 1012, 19809, 593, 6249, 281, 834, 30791, 22953, 543, 4856, 21975, 257, 1765, 19809, 13973, 1384, 30791, 22953, 543, 4856, 21975, 454, 272, 268, 272, 12430, 22953, 543, 4856, 21975, 3848, 18479, 1597, 23184, 28940, 1879, 596, 723, 6192, 713, 3184, 267, 596, 786, 581, 2111, 547, 281, 21450, 8571, 513, 14649, 6516, 269, 29375, 302, 13760, 543, 4612, 519, 2474, 8200, 543, 4830, 4756, 269, 8946, 12767, 12433, 543, 4612, 519, 11664, 540, 9756, 267, 519, 11664, 540, 8990, 267, 543, 519, 3044, 5470, 540, 7447, 269, 674, 21788, 18430, 513, 1449, 540, 8367, 547, 3313, 2436, 519, 2551, 11664, 540, 9756, 568, 1114, 689, 4642, 269, 7054, 7773, 270, 18250, 294, 3863, 6953, 650, 9736, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 1421, 476, 1960, 280, 692, 30791, 22953, 543, 4856, 21975, 454, 272, 268, 272, 12430, 22953, 543, 4856, 21975, 3848, 18479, 1597, 23184, 28940, 1879, 596, 723, 6192, 713, 3184, 267, 596, 786, 581, 2111, 547, 281, 674, 25893, 12433, 519, 2547, 10945, 9695, 1899, 269, 16038, 311, 20472, 543, 4612, 6015, 11996, 543, 12605, 11996, 585, 519, 8200, 4756, 269, 10323, 309, 2894, 5590, 909, 543, 4612, 606, 30654, 3349, 269, 7054, 7773, 270, 18250, 294, 3863, 6953, 650, 9736, 634, 17755, 3863, 6953, 650, 14992, 267, 5549, 1421, 476, 1960, 280, 692, 291, 8817, 24438, 281, 634, 4756, 602, 568, 1373, 10567, 610, 6059, 563, 1556, 268, 274, 4856, 21975, 5811, 4856, 21975, 5811, 281, 589, 1895, 540, 8579, 2553, 1031, 547, 2268, 519, 4222, 540, 519, 2078, 630, 14585, 21975, 264, 1063, 1079, 4632, 269, 2480, 2660, 12810, 281, 589, 5750, 602, 28420, 519, 2078, 1063, 519, 1079, 4632, 540, 1719, 269, 667, 8817, 24438, 281, 634, 4756, 602, 568, 1373, 10567, 610, 6059, 269, 18763, 24438, 281, 634, 4756, 602, 2488, 519, 4493, 585, 16759, 269, 898, 568, 519, 27667, 4756, 780, 763, 3213, 324, 2310, 540, 4856, 21975, 267, 678, 454, 1556, 268, 275, 634, 3213, 324, 2310, 540, 4856, 21975, 267, 678, 634, 3213, 324, 2310, 540, 4856, 21975, 630, 337, 264, 568, 513, 2268, 540, 519, 4222, 540, 519, 2078, 1063, 1079, 4632, 269, 898, 3340, 8884, 610, 5223, 27214, 4705, 1239, 630, 19702, 1963, 1040, 898, 666, 2039, 689, 547, 476, 272, 269, 876, 269, 18880, 540, 610, 476, 272, 269, 876, 5815, 3501, 543, 2178, 9756, 269, 18880, 2673, 547, 476, 271, 269, 271, 5815, 4617, 9756, 269, 20134, 2418, 5815, 606, 11201, 2078, 543, 2318, 2418, 5815, 513, 1463, 2078, 780, 8110, 2739, 20134, 4856, 21975, 454, 1556, 268, 276, 17828, 20134, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 8110, 2739, 15474, 4856, 21975, 454, 1556, 268, 277, 17828, 15474, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 1556, 268, 278, 20023, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 1805, 3994, 15474, 4856, 21975, 454, 1556, 268, 279, 16200, 15474, 4856, 21975, 476, 1015, 476, 280, 476, 279, 476, 278, 476, 277, 476, 276, 476, 275, 476, 274, 476, 273, 476, 272, 962, 2473, 692, 13528, 3121, 585, 9756, 11664, 630, 337, 994, 1556, 268, 280, 16754, 585, 9756, 11664, 630, 337, 2020, 290, 4141, 2310, 540, 10318, 1588, 454, 1556, 268, 1015, 3213, 324, 2310, 540, 10318, 1588, 634, 3213, 324, 2310, 540, 10318, 1588, 267, 678, 273, 910, 519, 8167, 540, 519, 2698, 8390, 538, 519, 8200, 4756, 962, 602, 568, 6045, 610, 20039, 585, 676, 519, 8390, 538, 519, 4830, 4756, 2473, 269, 634, 11664, 540, 8990, 568, 519, 4009, 540, 519, 11664, 540, 9756, 267, 543, 9832, 689, 476, 271, 547, 476, 272, 780, 1556, 268, 1556, 12327, 21283, 4041, 476, 272, 8355, 8581, 267, 519, 2875, 1560, 7022, 693, 24729, 539, 334, 3557, 2160, 267, 568, 7255, 827, 519, 1942, 540, 9499, 269, 1677, 1683, 5813, 883, 519, 1966, 646, 2824, 338, 513, 3732, 540, 5216, 9499, 4867, 593, 9042, 538, 519, 21869, 648, 269, 1261, 16976, 547, 1353, 519, 2078, 1063, 519, 1297, 540, 3817, 538, 519, 1257, 543, 519, 1942, 269, 30770, 519, 9756, 11664, 780, 1556, 268, 1321, 12327, 21283, 4041, 476, 272, 4797, 692, 3721, 476, 273, 281, 670, 271, 568, 15653, 952, 512, 285, 274, 269, 16960, 610, 952, 512, 283, 268, 274, 269, 16960, 267, 17093, 284, 277, 267, 19569, 350, 815, 269, 6349, 454, 1556, 268, 1724, 12327, 21283, 4041, 476, 272, 4797, 678, 284, 269, 277, 1691, 630, 591, 1518, 264, 4530, 519, 8367, 602, 972, 568, 1100, 9756, 538, 519, 2551, 269, 2422, 513, 1547, 6349, 4644, 1377, 269, 5153, 476, 272, 281, 670, 271, 2433, 634, 9756, 538, 519, 2551, 568, 4642, 269, 670, 272, 281, 634, 9756, 538, 519, 2551, 568, 711, 4642, 269, 5153, 476, 273, 281, 670, 271, 568, 15653, 952, 512, 285, 274, 269, 16960, 610, 952, 512, 283, 268, 274, 269, 16960, 267, 17093, 284, 277, 267, 19569, 350, 815, 269, 6349, 692, 763, 1449, 18802, 568, 512, 815, 476, 272, 269, 3445, 276, 276, 267, 17223, 676, 454, 1556, 268, 1691, 12327, 21283, 4041, 476, 272, 4797, 634, 1449, 18802, 568, 512, 815, 2073, 17223, 676, 609, 630, 333, 268, 273, 264, 5232, 540, 5191, 5153, 476, 275, 281, 670, 271, 568, 711, 15653, 692, 1556, 268, 1428, 22953, 5811, 20828, 281, 547, 3313, 519, 9695, 3830, 282, 621, 568, 1031, 547, 3589, 519, 1871, 540, 519, 8200, 4756, 630, 312, 264, 1759, 593, 519, 4830, 4756, 630, 311, 1040, 26488, 281, 2824, 513, 3732, 689, 519, 2551, 543, 1592, 519, 19610, 1239, 585, 1142, 8343, 282, 2721, 513, 14649, 6516, 547, 2285, 513, 3308, 24575, 540, 519, 2078, 282, 3313, 519, 9695, 3830, 780, 1492, 9695, 3830, 281, 962, 685, 284, 513, 1341, 536, 311, 267, 1141, 912, 1556, 268, 1626, 22953, 5811, 519, 9695, 3830, 281, 962, 685, 284, 513, 1341, 536, 311, 267, 1141, 281, 962, 685, 568, 519, 3328, 10567, 1871, 540, 962, 585, 1022, 2473, 269, 513, 568, 519, 962, 25435, 267, 610, 519, 6059, 962, 1871, 950, 2473, 284, 271, 536, 568, 519, 9386, 540, 519, 1899, 267, 610, 519, 3328, 1689, 538, 962, 685, 585, 1142, 1689, 540, 835, 1770, 538, 2473, 2547, 10945, 6240, 568, 1031, 547, 3489, 513, 543, 536, 1384, 3528, 519, 2547, 10945, 6240, 267, 536, 284, 269, 30203, 1691, 543, 513, 284, 1626, 269, 9826, 4037, 454, 1556, 268, 1704, 12327, 21283, 4041, 476, 273, 3763, 513, 9695, 3830, 585, 519, 1344, 2016, 538, 12327, 21283, 4041, 476, 272, 602, 666, 581, 1031, 547, 7447, 519, 9513, 3902, 1759, 593, 519, 1297, 540, 3817, 269, 1635, 519, 2547, 10945, 6240, 267, 536, 284, 543, 513, 284, 962, 685, 815, 2473, 692, 763, 9208, 18438, 540, 6480, 1493, 454, 1556, 268, 1240, 634, 9208, 18438, 540, 6480, 1493, 634, 3044, 5470, 540, 7447, 3800, 519, 14649, 267, 610, 24980, 267, 540, 519, 4767, 2418, 1472, 519, 1899, 540, 9695, 634, 12596, 602, 616, 1031, 547, 12337, 519, 3044, 5470, 1384, 10112, 636, 6877, 7201, 2391, 12430, 22953, 454, 1556, 268, 866, 2667, 636, 6877, 7201, 2391, 12430, 22953, 1280, 1142, 1871, 540, 2473, 267, 972, 568, 513, 1895, 540, 962, 2418, 267, 543, 891, 962, 2418, 616, 7363, 7856, 269, 634, 1797, 540, 891, 3339, 14778, 540, 962, 2418, 782, 9114, 593, 519, 2786, 1899, 540, 9695, 269, 634, 3044, 24017, 540, 891, 3339, 14778, 616, 3160, 269, 634, 962, 2418, 616, 19250, 4830, 269, 901, 1797, 602, 538, 519, 5542, 540, 513, 3732, 267, 519, 962, 2418, 6074, 585, 513, 1880, 2473, 1871, 798, 711, 4096, 593, 519, 962, 2418, 585, 1022, 824, 2473, 2418, 780, 1556, 268, 736, 30151, 3955, 1998, 634, 6015, 8884, 585, 519, 1611, 1871, 540, 962, 585, 513, 2016, 1871, 540, 2473, 568, 2016, 676, 1384, 1556, 268, 2641, 20530, 2109, 3955, 1998, 634, 12605, 8884, 585, 606, 1367, 1871, 540, 962, 585, 513, 2016, 1871, 540, 2473, 568, 2016, 676, 1384, 8196, 519, 1344, 689, 12327, 21283, 4041, 476, 272, 547, 912, 1556, 268, 2420, 12327, 21283, 4041, 476, 274, 2422, 519, 1344, 689, 12327, 21283, 4041, 476, 272, 547, 281, 30770, 519, 3044, 5470, 540, 7447, 281, 3763, 513, 476, 4817, 260, 6015, 8884, 585, 782, 476, 20981, 2985, 9499, 281, 1496, 2190, 269, 6734, 267, 476, 1789, 269, 1839, 316, 7638, 1518, 3763, 513, 476, 4817, 260, 12605, 8884, 585, 513, 476, 20981, 2985, 1257, 281, 1496, 1240, 269, 6021, 267, 476, 3607, 269, 866, 316, 7638, 1518, 692, 5415, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 454, 1556, 268, 2537, 2859, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 692, 5415, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 454, 1556, 268, 2190, 2859, 593, 519, 3213, 324, 2310, 540, 10318, 1588, 0, 258, 27387, 281, 594, 29186, 693, 30731, 2439, 272, 269, 12361, 594, 29186, 693, 30731, 2439, 296, 1174, 519, 6128, 3297, 713, 543, 1223, 3362, 798, 713, 676, 1688, 267, 855, 594, 6415, 2347, 1100, 984, 950, 621, 2501, 547, 4223, 18350, 780, 296, 991, 547, 2328, 513, 4223, 18350, 1922, 4233, 11410, 565, 6230, 602, 786, 2132, 519, 31992, 9971, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 538, 13053, 1106, 585, 4399, 6234, 1535, 3709, 271, 9574, 343, 3709, 272, 9574, 343, 3709, 273, 9574, 315, 24126, 21726, 3709, 333, 4151, 543, 4399, 6234, 535, 3287, 3709, 271, 348, 1070, 325, 3287, 3709, 272, 348, 1070, 325, 3287, 3709, 273, 348, 1070, 315, 24126, 267, 325, 3287, 3709, 333, 16585, 6911, 10190, 594, 723, 547, 2328, 513, 1982, 11410, 565, 318, 7120, 6230, 547, 4729, 535, 3287, 264, 543, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 585, 562, 284, 274, 267, 562, 284, 276, 267, 543, 562, 284, 1015, 267, 543, 1287, 1449, 713, 593, 4399, 6234, 535, 3287, 21174, 2765, 346, 272, 2410, 273, 266, 274, 343, 3867, 273, 3686, 16859, 273, 269, 1411, 3513, 5660, 30731, 538, 513, 1906, 1296, 780, 274, 269, 20323, 17397, 676, 1483, 4820, 272, 270, 273, 454, 296, 1174, 519, 6128, 3297, 713, 543, 1223, 3362, 798, 713, 676, 1688, 267, 855, 594, 6415, 2347, 1100, 984, 950, 621, 2501, 547, 4223, 18350, 780, 296, 991, 547, 2328, 513, 4223, 18350, 1922, 4233, 11410, 565, 6230, 602, 786, 2132, 519, 31992, 9971, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 538, 13053, 1106, 585, 4399, 6234, 1535, 3709, 271, 9574, 343, 3709, 272, 9574, 343, 3709, 273, 9574, 315, 24126, 21726, 3709, 333, 4151, 543, 4399, 6234, 535, 3287, 3709, 271, 348, 1070, 325, 3287, 3709, 272, 348, 1070, 325, 3287, 3709, 273, 348, 1070, 315, 24126, 267, 325, 3287, 3709, 333, 16585, 6911, 10190, 594, 723, 547, 2328, 513, 1982, 11410, 565, 318, 7120, 6230, 547, 4729, 535, 3287, 264, 543, 4399, 6234, 533, 3709, 333, 12917, 343, 7751, 585, 562, 284, 274, 267, 562, 284, 276, 267, 543, 562, 284, 1015, 267, 543, 1287, 1449, 713, 593, 4399, 6234, 535, 3287, 21174, 2765, 346, 272, 2410, 273, 266, 274, 343, 3867, 273, 22288, 563, 5278, 948, 593, 713, 1131, 581, 7494, 15874, 780, 275, 269, 20323, 17397, 676, 1483, 4820, 272, 270, 273, 454, 5278, 948, 593, 713, 1131, 581, 7494, 15874, 563, 28646, 596, 1058, 2307, 513, 2243, 1101, 269, 1403, 596, 1174, 519, 6128, 3297, 713, 267, 596, 723, 8373, 609, 519, 5752, 16105, 267, 533, 615, 4257, 286, 1772, 972, 1945, 2027, 596, 991, 948, 609, 610, 798, 596, 2503, 513, 8737, 544, 1922, 850, 286, 0, 258, 11550, 25770, 300, 590, 4953, 476, 278, 630, 291, 16604, 5442, 700, 17614, 13543, 10396, 744, 6311, 476, 3066, 630, 8025, 7838, 306, 31165, 11723, 3499, 24165, 25770, 300, 590, 4953, 476, 278, 630, 291, 16604, 5442, 700, 17614, 13543, 10396, 744, 6311, 476, 3066, 630, 8025, 7838, 306, 31165, 4917, 263, 5472, 14497, 543, 11644, 2338, 616, 8100, 547, 519, 1837, 676, 24347, 565, 282, 585, 3236, 454, 2108, 19865, 476, 272, 269, 1428, 268, 274, 892, 1797, 11644, 476, 274, 538, 3296, 476, 272, 269, 1428, 8094, 19370, 476, 272, 269, 2913, 535, 2433, 1496, 320, 267, 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 ]

[ 6521, 318, 276, 318, 10420, 19304, 8029, 825, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 1038, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 825, 3116, 6769, 1038, 1193, 815, 1193, 31573, 14052, 1038, 2132, 834, 2668, 21860, 8443, 577, 337, 263, 867, 3287, 11924, 276, 264, 952, 630, 867, 3287, 11924, 276, 264, 10922, 476, 14338, 3116, 669, 337, 263, 867, 3287, 11924, 276, 268, 14338, 266, 9834, 264, 585, 1535, 538, 1193, 29573, 5897, 258, 11974, 2436, 513, 5569, 13292, 1022, 540, 519, 2220, 792, 1913, 5018, 538, 4179, 2517, 326, 603, 889, 2593, 270, 27144, 297, 294, 629, 21119, 270, 11386, 3491, 325, 534, 640, 2914, 3581, 270, 4565, 984, 8276, 2120, 270, 4289, 17902, 1477, 258, 3210, 815, 13668, 10947, 2891, 10059, 2517, 3863, 3052, 603, 889, 12528, 20880, 2593, 270, 27144, 297, 294, 629, 21119, 270, 11386, 3491, 325, 534, 640, 2914, 3581, 8276, 2120, 270, 4289, 17902, 14744, 258, 1239, 815, 3210, 269, 3667, 1477, 258, 1239, 1477, 258, 1219, 1527, 2033, 6958, 559, 614, 19304, 8029, 258, 672, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 258, 1363, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 258, 672, 3116, 6769, 258, 1363, 2132, 6936, 952, 1193, 31573, 3890, 538, 1239, 3116, 8771, 5897, 258, 4635, 2569, 2073, 25754, 3092, 519, 1256, 2338, 538, 513, 1592, 1590, 581, 3773, 23228, 3698, 1039, 318, 16838, 19571, 10857, 8029, 825, 952, 7003, 10857, 264, 2652, 476, 271, 6769, 1038, 6318, 28759, 2891, 520, 548, 770, 835, 1871, 1590, 581, 9411, 538, 519, 1592, 14744, 825, 585, 1775, 538, 561, 6769, 1038, 952, 1826, 9217, 264, 11203, 703, 6769, 2018, 6318, 7392, 13286, 2891, 21671, 703, 338, 616, 4847, 14744, 1038, 3116, 6769, 2018, 1780, 1477, 825, 2040, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 1341, 536, 267, 6882, 10857, 10033, 513, 281, 630, 320, 4939, 476, 273, 2652, 476, 271, 1070, 561, 17903, 825, 2132, 2040, 5897, 258, 4635, 2569, 267, 25754, 3092, 519, 7887, 607, 857, 328, 1915, 538, 513, 2016, 5569, 1590, 581, 1336, 1477, 3698, 2462, 318, 10420, 23919, 19304, 8029, 825, 952, 7003, 19304, 264, 10922, 476, 272, 6769, 1038, 6318, 28759, 2891, 11415, 1058, 723, 811, 982, 835, 1915, 14744, 825, 3116, 6769, 1038, 1267, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 952, 3921, 5416, 264, 3436, 3921, 6357, 264, 3116, 536, 267, 1193, 3418, 1038, 2132, 1267, 5897, 258, 4635, 2569, 267, 25754, 1599, 1169, 3791, 1297, 1590, 581, 3773, 538, 513, 1592, 1477, 3698, 1039, 318, 628, 2273, 19571, 10857, 8029, 825, 952, 7003, 10857, 264, 2652, 476, 271, 6769, 1038, 6318, 28759, 2891, 520, 548, 770, 835, 1871, 1590, 581, 9411, 538, 519, 1592, 14744, 825, 585, 1775, 538, 561, 6769, 1038, 952, 1826, 9217, 264, 11203, 703, 6769, 2018, 6318, 7392, 13286, 2891, 21671, 703, 338, 616, 4847, 14744, 1038, 3116, 6769, 2018, 1780, 1477, 825, 3116, 6769, 1038, 1039, 318, 628, 2273, 20311, 815, 2569, 10857, 10033, 513, 267, 536, 281, 513, 1341, 536, 267, 561, 314, 273, 15311, 274, 29573, 1038, 2132, 1039, 318, 628, 2273, 20311, 5897, 258, 4635, 28219, 842, 267, 4351, 26716, 4069, 543, 1592, 2649, 687, 267, 476, 1428, 4351, 918, 4696, 6395, 4696, 24884, 291, 1297, 10824, 1590, 581, 6383, 267, 1141, 918, 288, 568, 6378, 267, 667, 6763, 585, 513, 7857, 267, 543, 589, 6763, 585, 13317, 26897, 1477, 3698, 1003, 318, 30066, 3287, 8782, 25605, 3299, 2608, 344, 8029, 825, 22843, 815, 18358, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 1412, 291, 3299, 1412, 292, 3299, 1412, 293, 3299, 1412, 294, 3299, 1412, 295, 3299, 1412, 296, 3299, 1412, 297, 3299, 1412, 298, 3299, 1412, 299, 3299, 1412, 300, 3299, 1412, 301, 3299, 1412, 302, 3299, 1412, 303, 3299, 1412, 304, 3299, 1412, 305, 3299, 1412, 306, 3299, 1412, 307, 3299, 1412, 308, 3299, 1412, 309, 3299, 1412, 310, 3299, 1412, 311, 3299, 1412, 312, 3299, 1412, 313, 11172, 1477, 825, 2132, 1496, 343, 1341, 1193, 263, 12690, 27110, 263, 1015, 267, 4200, 4297, 1341, 1193, 263, 12690, 26716, 4069, 263, 2704, 8224, 4297, 1341, 1193, 263, 12690, 26716, 4069, 263, 2704, 8224, 4297, 1341, 1193, 263, 12690, 27110, 263, 1911, 271, 267, 476, 15886, 280, 4297, 585, 1775, 538, 2039, 263, 1428, 13580, 5897, 258, 4635, 519, 1657, 267, 649, 2328, 513, 9864, 1599, 971, 602, 476, 1911, 271, 270, 15886, 280, 616, 2182, 322, 10757, 267, 855, 918, 288, 666, 581, 3177, 5897, 2908, 318, 30066, 815, 9864, 16325, 318, 30066, 3418, 2908, 318, 30066, 2891, 13036, 14744, 0, 258, 28605, 8193, 281, 583, 325, 268, 279, 20609, 7042, 5814, 21795, 607, 19073, 692, 3698, 10116, 318, 14179, 2541, 10031, 825, 1239, 815, 19073, 18667, 32269, 3488, 20625, 27406, 3299, 20927, 284, 271, 994, 825, 546, 338, 815, 19073, 2529, 7685, 17338, 16597, 9131, 24127, 11172, 1070, 4994, 284, 335, 323, 30419, 5091, 520, 8135, 17338, 16597, 9131, 14630, 11172, 21875, 825, 546, 338, 337, 815, 546, 338, 269, 637, 2217, 3488, 304, 262, 1040, 8999, 4590, 825, 546, 338, 31014, 815, 546, 338, 337, 31699, 28767, 263, 2444, 2056, 25716, 994, 825, 1820, 263, 1091, 337, 314, 271, 18737, 272, 7481, 825, 1820, 263, 1091, 31014, 314, 271, 18737, 272, 7481, 825, 2034, 318, 14179, 2541, 815, 546, 338, 31014, 314, 272, 2639, 825, 454, 825, 2132, 2034, 318, 14179, 2541, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 10116, 318, 14179, 2541, 4590, 0, 18851, 1477, 825, 9717, 513, 1592, 540, 2338, 543, 513, 1297, 737, 267, 1477, 825, 2132, 2436, 1022, 1079, 2338, 689, 519, 1592, 1039, 909, 547, 737, 269, 5897, 825, 1280, 1383, 267, 2016, 1496, 1015, 267, 476, 1428, 267, 476, 274, 267, 476, 278, 316, 543, 737, 540, 476, 1704, 267, 1477, 825, 2132, 3020, 2094, 476, 1015, 1341, 476, 278, 568, 476, 1704, 23228, 18851, 1477, 3698, 1079, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 737, 8029, 825, 26998, 1112, 815, 15079, 1477, 825, 585, 1775, 538, 2855, 6769, 1038, 26998, 1112, 5157, 316, 815, 7183, 1477, 825, 1247, 7003, 263, 526, 1112, 264, 3436, 476, 271, 6769, 1038, 1775, 815, 26998, 1112, 21014, 14403, 14052, 1038, 952, 630, 330, 910, 1775, 314, 271, 8079, 538, 26998, 1112, 6769, 2018, 2132, 6936, 1477, 825, 2132, 8771, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 2855, 815, 1496, 1015, 267, 476, 1428, 267, 476, 274, 267, 476, 278, 15947, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1839, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1704, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1240, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1015, 17903, 825, 1820, 6025, 6851, 20311, 318, 1410, 1235, 14682, 1508, 23544, 19906, 267, 476, 1321, 4297, 0, 18851, 1477, 825, 9717, 519, 3597, 540, 513, 9352, 3406, 3529, 267, 543, 513, 3077, 737, 267, 1477, 825, 2132, 1079, 9136, 538, 519, 3529, 4171, 2040, 11224, 737, 269, 5897, 825, 1280, 1383, 267, 2016, 519, 1739, 3529, 543, 737, 540, 476, 736, 5897, 825, 476, 1015, 1477, 567, 1315, 567, 1422, 1477, 476, 276, 8587, 476, 1428, 1477, 11434, 1315, 476, 1422, 1477, 672, 476, 1556, 825, 476, 1428, 1477, 825, 17776, 519, 9136, 476, 276, 543, 476, 1428, 1477, 18851, 1477, 5228, 10070, 1104, 632, 4302, 5897, 18851, 1477, 825, 681, 12584, 538, 744, 3799, 2845, 3799, 4297, 942, 23228, 18851, 1477, 3698, 1265, 5332, 3941, 318, 5976, 23544, 17624, 20172, 267, 737, 8029, 825, 7117, 815, 632, 4302, 8443, 10174, 29573, 825, 1247, 7003, 32429, 264, 3436, 476, 271, 6769, 1038, 6843, 318, 272, 815, 7117, 4877, 963, 1111, 14052, 1038, 6843, 318, 273, 815, 1265, 318, 3559, 704, 20172, 267, 6843, 318, 272, 267, 737, 910, 6843, 318, 272, 22183, 3418, 1038, 952, 6843, 318, 273, 11203, 7183, 6769, 2018, 2132, 630, 27161, 318, 272, 22183, 267, 6843, 318, 273, 22183, 3418, 1038, 952, 6843, 318, 272, 16000, 11203, 7183, 6769, 2018, 7117, 6910, 27316, 318, 272, 16000, 3418, 1038, 952, 6843, 318, 272, 16192, 11203, 7183, 6769, 2018, 7117, 6910, 27316, 318, 272, 16192, 3418, 825, 2132, 7183, 5897, 3698, 1265, 318, 3559, 704, 20172, 267, 6843, 267, 1130, 8029, 825, 952, 3597, 22183, 2652, 1130, 543, 3597, 11203, 6843, 6769, 1038, 2132, 3597, 1477, 825, 952, 1130, 2999, 3597, 22183, 543, 630, 10174, 16000, 11203, 7183, 8029, 1038, 2132, 1265, 318, 3559, 704, 20172, 16000, 267, 6843, 267, 1130, 3418, 825, 8640, 1130, 13843, 3597, 22183, 543, 630, 10174, 16192, 11203, 7183, 8029, 1038, 2132, 1265, 318, 3559, 704, 20172, 16192, 267, 6843, 267, 1130, 3418, 825, 2132, 7183, 5897, 5035, 19219, 24998, 8029, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 8029, 1038, 1582, 22183, 815, 1130, 1477, 1038, 1582, 16000, 815, 7183, 1477, 1038, 1582, 16192, 815, 7183, 5897, 3698, 1711, 4671, 872, 28399, 825, 6843, 318, 276, 815, 19219, 263, 276, 3418, 825, 6843, 318, 1015, 815, 19219, 263, 1015, 3418, 825, 6843, 318, 1556, 815, 19219, 263, 1556, 3418, 825, 6843, 318, 1428, 318, 272, 815, 19219, 263, 1428, 3418, 825, 6843, 318, 1428, 318, 273, 815, 19219, 263, 1428, 10142, 825, 6843, 318, 1015, 16000, 815, 6843, 318, 276, 1477, 825, 6843, 318, 1015, 16192, 815, 6843, 318, 1428, 318, 272, 1477, 825, 6843, 318, 1428, 318, 272, 16000, 815, 6843, 318, 1556, 1477, 825, 6843, 318, 1428, 318, 272, 16192, 815, 6843, 318, 1428, 318, 273, 5897, 825, 2132, 6843, 318, 1015, 5897, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 3597, 815, 1711, 4671, 872, 14052, 825, 585, 14805, 538, 1496, 1015, 267, 476, 1428, 267, 476, 1626, 267, 476, 736, 267, 476, 2641, 267, 476, 1839, 267, 476, 2918, 267, 476, 1789, 267, 476, 4029, 316, 6769, 1038, 1820, 3488, 8999, 281, 3299, 14805, 267, 1265, 5332, 3941, 318, 5976, 23544, 17624, 20172, 267, 14805, 17903, 0, 18851, 1477, 825, 14419, 2436, 972, 6818, 513, 835, 3562, 14633, 1915, 11837, 1477, 825, 689, 835, 5569, 521, 272, 547, 1776, 521, 273, 269, 5897, 825, 1280, 1383, 267, 2016, 521, 272, 815, 705, 322, 543, 521, 273, 815, 536, 7251, 267, 1477, 825, 2132, 3020, 2094, 649, 666, 4786, 513, 547, 536, 267, 536, 547, 524, 267, 543, 524, 547, 546, 269, 5897, 825, 9717, 521, 272, 815, 535, 5622, 543, 521, 273, 815, 3046, 267, 1477, 825, 2132, 7301, 2094, 519, 522, 3112, 4786, 547, 1079, 3197, 23228, 18851, 1477, 3698, 568, 318, 529, 25806, 19304, 272, 267, 1193, 273, 8029, 825, 952, 7003, 19304, 272, 264, 11203, 7003, 19304, 273, 2567, 1948, 3490, 2013, 1477, 1038, 2132, 8771, 1477, 825, 4699, 777, 815, 15079, 1477, 825, 585, 1775, 267, 524, 538, 26246, 19304, 272, 8029, 1038, 952, 711, 524, 538, 4699, 777, 6769, 2018, 4699, 777, 314, 322, 316, 815, 1193, 273, 5157, 316, 1948, 610, 4699, 777, 314, 1598, 272, 5157, 14963, 815, 1193, 273, 5157, 15947, 2018, 3136, 1477, 1038, 952, 4699, 777, 314, 322, 316, 11203, 1193, 273, 5157, 316, 6769, 2018, 2132, 8771, 1477, 825, 2132, 6936, 5897, 3698, 1449, 318, 529, 318, 529, 25806, 28399, 825, 585, 6292, 538, 1496, 1477, 1038, 18011, 320, 3299, 1412, 25900, 30670, 1477, 1038, 18011, 629, 3299, 1412, 25900, 30670, 1477, 1038, 18011, 325, 5622, 3299, 1412, 8663, 30670, 1477, 1038, 18011, 629, 9346, 3299, 1412, 322, 16282, 322, 30670, 1477, 825, 9948, 6769, 1038, 1820, 9638, 1515, 314, 271, 3910, 6292, 314, 272, 3910, 1412, 529, 318, 529, 25806, 281, 22207, 568, 318, 529, 25806, 9638, 1515, 314, 271, 3910, 6292, 314, 272, 8079, 10142, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 6769, 825, 1449, 318, 529, 318, 529, 25806, 14052, 0, 18851, 1477, 825, 9717, 513, 11837, 540, 9704, 547, 5022, 630, 553, 538, 513, 6049, 1297, 1070, 543, 513, 7857, 5569, 267, 1477, 825, 2132, 782, 2009, 5022, 519, 1297, 1223, 2099, 23228, 825, 1411, 666, 8263, 1142, 4570, 1297, 538, 519, 11837, 568, 513, 2582, 7857, 269, 5897, 825, 1280, 1383, 952, 2715, 2108, 273, 27535, 1496, 2108, 320, 5608, 968, 321, 5608, 968, 322, 892, 3910, 834, 274, 9899, 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 ]

[ 11067, 9900, 609, 7646, 12853, 543, 3636, 1216, 5849, 15325, 269, 3958, 267, 13936, 3735, 343, 4773, 2476, 689, 1463, 7943, 2337, 2061, 12159, 3361, 676, 11158, 12345, 269, 7743, 569, 25374, 585, 267, 3735, 343, 7802, 666, 2063, 1082, 1296, 543, 2611, 1175, 607, 546, 9579, 1782, 780, 9961, 1686, 267, 1004, 723, 1031, 6752, 607, 513, 1797, 540, 11589, 2933, 543, 8220, 609, 1866, 945, 2671, 2147, 4690, 269, 17623, 343, 7802, 3091, 1776, 28627, 585, 3408, 267, 5876, 267, 543, 2123, 2208, 269, 1924, 267, 2436, 596, 5660, 3735, 343, 585, 922, 11495, 15312, 267, 4296, 547, 3309, 2950, 267, 610, 16779, 7592, 267, 3314, 602, 3025, 19262, 519, 4960, 547, 8661, 741, 23141, 998, 1018, 789, 3442, 547, 5957, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2690, 1346, 602, 1871, 3735, 343, 779, 3023, 344, 9029, 267, 3478, 543, 1210, 3735, 343, 9660, 568, 606, 3573, 1995, 269, 634, 5650, 540, 23510, 1318, 883, 513, 3735, 343, 7802, 568, 513, 2283, 6681, 6296, 538, 3294, 267, 10912, 585, 519, 948, 540, 5657, 322, 636, 8869, 610, 561, 25683, 547, 10018, 602, 519, 1587, 15942, 7561, 936, 519, 2960, 269, 1280, 1346, 602, 1871, 3735, 343, 779, 3023, 344, 9029, 267, 13844, 543, 1210, 3735, 343, 9660, 568, 606, 3573, 1995, 269, 769, 519, 8608, 540, 645, 9169, 300, 267, 3735, 343, 568, 4122, 4448, 609, 29686, 543, 7127, 267, 543, 8380, 593, 3735, 343, 23157, 666, 581, 513, 1505, 585, 1004, 547, 3605, 741, 9909, 543, 16858, 269, 769, 1699, 1296, 267, 3735, 343, 23157, 814, 2965, 13175, 547, 1118, 922, 1665, 593, 519, 13416, 2511, 6429, 269, 898, 779, 4105, 547, 1832, 538, 2247, 602, 519, 13170, 540, 3735, 343, 9660, 538, 2757, 2511, 1281, 711, 24390, 922, 1871, 538, 10099, 880, 543, 1114, 16973, 269, 6787, 596, 2461, 13631, 547, 3735, 343, 7802, 20410, 621, 585, 922, 4241, 5654, 267, 922, 3095, 547, 1114, 16973, 267, 610, 922, 8716, 1164, 7907, 267, 3735, 343, 813, 28328, 23131, 547, 575, 548, 600, 3010, 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, 3848, 476, 1691, 281, 18227, 3776, 4826, 15822, 543, 11162, 692, 5970, 596, 2479, 2219, 827, 1141, 519, 1216, 596, 4235, 2501, 689, 286, 898, 1522, 2097, 689, 513, 5757, 267, 10720, 267, 610, 1256, 11895, 256, 1809, 1354, 713, 1216, 10301, 938, 5321, 267, 621, 2115, 547, 979, 998, 513, 2027, 1184, 1572, 834, 4248, 2126, 257, 547, 2327, 621, 781, 2922, 543, 2973, 585, 721, 547, 4235, 269, 901, 3184, 786, 6338, 596, 547, 930, 1007, 7835, 538, 1216, 2126, 2029, 543, 1397, 596, 875, 3744, 616, 2324, 2182, 547, 1832, 938, 6704, 1216, 607, 6986, 607, 2009, 780, 12850, 9615, 476, 6200, 454, 2411, 13430, 2690, 1082, 1296, 267, 20841, 814, 1044, 1031, 607, 519, 3119, 1505, 547, 1521, 1216, 543, 6146, 1022, 17900, 610, 4551, 602, 1223, 1118, 1004, 7210, 269, 1717, 267, 1247, 20841, 1281, 513, 1434, 2816, 693, 3478, 7759, 540, 5739, 14471, 267, 621, 666, 3006, 4734, 3297, 1507, 5666, 540, 13311, 6878, 1634, 607, 834, 4134, 26529, 676, 335, 20094, 257, 543, 824, 12357, 834, 4186, 3133, 1218, 1701, 1452, 2451, 13569, 5749, 1405, 2356, 5906, 538, 519, 6263, 9424, 1336, 538, 7148, 1216, 267, 855, 3744, 616, 2141, 3168, 585, 2081, 547, 2087, 1216, 2126, 2409, 543, 4894, 1256, 891, 13581, 23606, 780, 4504, 18166, 519, 3687, 639, 13979, 454, 10900, 19567, 14722, 693, 519, 11908, 4659, 540, 5303, 723, 1044, 3384, 1945, 789, 1289, 519, 834, 2381, 639, 1935, 257, 547, 10994, 891, 26240, 5652, 676, 335, 20094, 543, 17694, 269, 5502, 540, 1175, 13461, 593, 20841, 4805, 267, 789, 946, 1114, 2553, 1927, 547, 1711, 513, 811, 2500, 1259, 540, 8156, 1216, 269, 1635, 9256, 1896, 2994, 267, 899, 1210, 3606, 12086, 543, 6464, 267, 789, 666, 1683, 10930, 6704, 1216, 609, 7864, 13311, 970, 6652, 269, 6056, 540, 621, 899, 1818, 513, 8949, 5347, 773, 1107, 3079, 540, 4946, 1152, 835, 1826, 540, 4829, 267, 11544, 1585, 5613, 5932, 513, 13820, 1512, 543, 8902, 11100, 2439, 288, 8892, 29533, 10312, 539, 593, 674, 18017, 5164, 4926, 454, 14343, 13430, 3080, 540, 519, 13085, 8186, 4543, 1020, 519, 14263, 1935, 568, 513, 1912, 6185, 269, 2875, 3957, 7812, 7338, 269, 21298, 267, 646, 729, 6074, 585, 513, 9735, 4316, 1572, 519, 5398, 2657, 769, 26197, 26665, 23050, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1040, 4438, 713, 31776, 267, 7812, 786, 13404, 593, 7421, 1239, 543, 10442, 4066, 6322, 693, 16069, 11763, 10194, 10108, 269, 5994, 1373, 2111, 547, 948, 3247, 519, 3262, 540, 17559, 8290, 899, 519, 2770, 610, 5046, 268, 866, 1107, 875, 3579, 1131, 602, 581, 2496, 9558, 14127, 3194, 883, 7464, 10298, 454, 14343, 7042, 5194, 6909, 1383, 540, 7432, 3621, 8906, 883, 4052, 3156, 2501, 689, 620, 636, 3534, 23718, 853, 1195, 269, 2701, 3576, 1200, 1382, 593, 7738, 909, 26130, 1216, 543, 5828, 621, 883, 513, 3811, 23492, 2754, 5059, 593, 2870, 5499, 2973, 2029, 3435, 269, 23718, 781, 960, 9727, 875, 1271, 621, 568, 547, 1489, 543, 5000, 7279, 543, 5876, 538, 2257, 1107, 945, 6487, 1018, 5863, 18563, 14182, 781, 1053, 786, 3142, 547, 1272, 2439, 307, 15711, 600, 529, 543, 7201, 4248, 26439, 3996, 286, 7937, 3733, 2336, 14343, 692, 1103, 1840, 547, 5355, 1216, 2126, 2409, 267, 3744, 693, 11908, 15306, 616, 849, 4974, 2067, 9259, 899, 20016, 600, 529, 15427, 676, 14015, 15027, 26706, 269, 7905, 19555, 2335, 674, 761, 345, 543, 1010, 5449, 10927, 2875, 267, 962, 756, 514, 20568, 267, 616, 3226, 27278, 676, 713, 2189, 4999, 540, 20569, 543, 3289, 14347, 269, 8625, 267, 789, 8495, 875, 891, 3532, 6329, 1106, 543, 13789, 547, 1732, 3589, 741, 1764, 593, 9381, 2950, 1472, 519, 1158, 269, 1548, 606, 9058, 1259, 547, 9192, 2257, 543, 2470, 547, 2149, 1004, 2439, 5978, 12414, 547, 5269, 513, 16338, 2336, 28598, 2026, 596, 666, 1294, 267, 972, 781, 865, 1454, 4241, 960, 8345, 538, 519, 2361, 540, 1216, 3106, 543, 27194, 269, 3245, 17975, 1216, 2126, 4485, 547, 8165, 14686, 8290, 543, 1620, 519, 4229, 540, 2470, 267, 8049, 8186, 616, 7683, 4466, 1007, 2081, 547, 16102, 938, 1604, 543, 8171, 269, 5808, 6487, 1107, 6148, 14693, 4166, 267, 9358, 786, 3565, 547, 14262, 7760, 538, 5329, 938, 4541, 2635, 543, 14762, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6124, 4826, 9615, 13979, 29452, 547, 3680, 15053, 995, 11906, 338, 454, 763, 1216, 4947, 856, 540, 707, 31316, 564, 568, 2922, 547, 4235, 267, 855, 602, 3085, 1406, 1611, 621, 779, 4625, 2973, 269, 25914, 710, 814, 1279, 1044, 519, 3044, 585, 1216, 2126, 267, 855, 621, 1419, 3568, 10250, 2157, 540, 771, 26529, 676, 335, 20094, 543, 7164, 17694, 269, 11908, 4659, 540, 5303, 3173, 2919, 519, 14263, 1935, 547, 6023, 891, 5739, 676, 335, 20094, 563, 28061, 7338, 5697, 585, 15509, 26665, 23050, 454, 4942, 6185, 269, 2875, 7812, 7338, 814, 1044, 5697, 585, 519, 476, 1708, 274, 5398, 2657, 769, 26197, 26665, 23050, 609, 519, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 1040, 7338, 786, 1445, 593, 1239, 2079, 543, 2029, 6268, 267, 4481, 13389, 11763, 10194, 3676, 563, 2704, 30282, 20128, 2775, 281, 23718, 853, 1195, 3690, 13257, 3194, 883, 11162, 5303, 3399, 1575, 454, 10481, 3073, 807, 15306, 10435, 31515, 538, 570, 15711, 9564, 3194, 454, 23178, 19555, 2335, 674, 761, 345, 543, 1010, 5449, 10927, 2875, 267, 962, 756, 514, 20568, 267, 616, 5461, 538, 513, 1808, 2186, 540, 23329, 267, 1346, 3361, 676, 14015, 15027, 3010, 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, 4495, 2390, 513, 942, 538, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 1614, 2828, 910, 23183, 267, 2098, 4673, 267, 543, 7665, 269, 1358, 941, 1142, 13730, 827, 1114, 1919, 282, 23183, 729, 513, 27503, 22459, 945, 6068, 4730, 519, 13176, 543, 1603, 8964, 267, 2098, 4673, 729, 513, 16805, 6752, 14704, 945, 1185, 1175, 3323, 1200, 1378, 6003, 267, 543, 7665, 729, 606, 14971, 23031, 609, 513, 16994, 3750, 585, 13830, 2189, 8090, 780, 3080, 1554, 1247, 16304, 856, 693, 741, 5172, 22538, 2946, 267, 789, 3459, 7234, 875, 1585, 12372, 12840, 609, 4583, 6752, 9858, 593, 17581, 6227, 610, 2575, 7044, 269, 901, 17275, 606, 2856, 1851, 873, 910, 1018, 952, 789, 1223, 849, 960, 1927, 593, 23183, 781, 14232, 26813, 17581, 3382, 286, 2991, 782, 267, 621, 1131, 581, 513, 3501, 11100, 540, 741, 15421, 543, 4690, 780, 300, 807, 267, 1373, 519, 7376, 267, 4941, 1945, 1196, 4445, 2943, 11541, 585, 1200, 1101, 2582, 834, 305, 2358, 10060, 1701, 2701, 2219, 540, 2870, 513, 3308, 6041, 540, 8840, 1863, 689, 6848, 8155, 543, 6788, 269, 2201, 519, 824, 1688, 267, 2098, 4673, 19424, 539, 1210, 12050, 4778, 543, 23349, 3623, 17924, 22863, 585, 519, 28459, 23183, 1131, 5957, 538, 519, 8523, 269, 11531, 267, 7665, 29739, 593, 4466, 513, 27497, 1399, 4683, 4087, 602, 1131, 9148, 1312, 519, 5152, 543, 519, 856, 22327, 780, 5475, 1896, 23730, 7886, 4904, 609, 10761, 543, 5876, 267, 789, 6368, 8815, 593, 513, 1523, 281, 23183, 1131, 1810, 513, 10875, 26254, 676, 2098, 4673, 10023, 6106, 540, 32482, 548, 538, 7524, 24698, 267, 7555, 18390, 1996, 513, 20457, 540, 1178, 29201, 23752, 6821, 269, 1677, 7001, 713, 3532, 3239, 267, 7665, 1085, 719, 539, 6753, 1472, 4884, 2394, 646, 1336, 519, 4998, 620, 2917, 3118, 780, 2026, 789, 24389, 593, 713, 1788, 267, 789, 5185, 3875, 2591, 269, 2290, 2101, 19224, 548, 729, 20310, 513, 2679, 8227, 547, 1577, 873, 946, 1010, 3959, 607, 513, 6337, 327, 2393, 4087, 269, 1717, 267, 3079, 540, 4758, 909, 610, 759, 15659, 547, 10363, 2409, 267, 789, 4956, 547, 1935, 1864, 1135, 7019, 543, 2491, 741, 5075, 269, 5080, 29418, 267, 519, 8227, 15874, 741, 15131, 543, 4847, 873, 1569, 547, 519, 2230, 780, 5194, 4161, 3357, 950, 2098, 4673, 7691, 1352, 4769, 1405, 723, 2614, 5958, 547, 1711, 519, 5551, 1413, 585, 23183, 781, 10571, 1813, 547, 6578, 10148, 269, 5502, 540, 18731, 610, 27560, 2326, 267, 2098, 4673, 8359, 547, 3643, 2199, 4278, 3424, 8637, 1141, 1352, 4362, 4190, 29578, 540, 5958, 602, 20083, 1200, 2681, 10325, 9985, 269, 3414, 4199, 6888, 543, 8990, 267, 1352, 7307, 547, 2347, 519, 28459, 1369, 741, 3908, 6578, 780, 7661, 267, 519, 1554, 8452, 585, 519, 6337, 327, 2393, 269, 6736, 6849, 669, 11035, 4365, 2175, 543, 1761, 19240, 689, 8049, 593, 19972, 619, 267, 519, 2468, 334, 7283, 5059, 543, 11215, 540, 835, 1776, 269, 4256, 7104, 1648, 8507, 538, 18198, 11147, 602, 9676, 519, 9759, 540, 23183, 781, 5152, 18991, 780, 1103, 519, 1439, 267, 711, 1152, 1705, 789, 3132, 5863, 11247, 585, 23183, 781, 2582, 3382, 855, 849, 22541, 741, 11505, 998, 5698, 267, 6568, 267, 5683, 3375, 6194, 267, 543, 1966, 9010, 1983, 269, 1656, 865, 267, 741, 3460, 6039, 607, 513, 12576, 602, 2324, 1927, 32069, 666, 1291, 547, 9058, 2164, 1247, 20170, 547, 1455, 2631, 2418, 780, 14945, 23322, 15511, 7151, 1384, 16655, 281, 834, 10817, 903, 267, 594, 1589, 594, 1336, 938, 5544, 15323, 313, 4673, 281, 834, 265, 326, 553, 1186, 265, 2334, 1747, 568, 3501, 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 ]

[ 0, 291, 1853, 10885, 6323, 6780, 692, 272, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 1103, 3541, 1516, 519, 4542, 454, 15965, 642, 815, 4399, 2765, 346, 4501, 480, 341, 3709, 343, 12453, 4501, 480, 343, 4151, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 4151, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 345, 12453, 4501, 480, 345, 21456, 933, 1031, 513, 14328, 4396, 31208, 2572, 2711, 4320, 282, 2705, 267, 1022, 3337, 786, 798, 630, 24392, 519, 9819, 4991, 9875, 1040, 1677, 1294, 606, 1383, 267, 17589, 519, 1482, 4542, 1210, 519, 24388, 11057, 4320, 3254, 630, 29664, 7923, 1040, 901, 1223, 581, 513, 4320, 3693, 1985, 547, 606, 12150, 2627, 780, 273, 269, 31999, 4834, 454, 14240, 540, 27754, 692, 15965, 642, 815, 1929, 18529, 16483, 20681, 271, 4399, 2765, 3189, 842, 642, 1422, 10383, 13005, 2410, 24941, 16483, 4151, 1141, 18529, 16483, 815, 1507, 4320, 543, 519, 7533, 568, 513, 936, 513, 6806, 2627, 3808, 18529, 16483, 692, 274, 269, 634, 3801, 693, 513, 3070, 454, 3383, 594, 993, 2348, 930, 3390, 609, 713, 2243, 269, 589, 3364, 547, 4063, 568, 602, 649, 616, 4114, 26305, 519, 7533, 607, 1175, 642, 7445, 15132, 259, 6767, 1141, 642, 568, 693, 930, 1448, 593, 519, 2627, 269, 901, 568, 1813, 547, 621, 1373, 606, 31208, 2572, 2711, 4320, 780, 763, 1292, 1966, 594, 993, 2348, 568, 594, 1589, 594, 993, 1818, 513, 12161, 593, 519, 1283, 3068, 11214, 269, 1403, 596, 1413, 693, 4137, 476, 273, 799, 568, 1250, 19020, 5373, 547, 2099, 562, 621, 568, 1287, 692, 333, 815, 630, 6523, 7445, 9064, 259, 795, 1002, 1341, 5609, 7445, 9064, 259, 737, 1002, 2020, 3383, 1287, 585, 519, 1283, 3068, 952, 554, 815, 519, 1793, 5896, 2427, 454, 6767, 815, 554, 24941, 343, 6262, 657, 7445, 9064, 259, 795, 1002, 1341, 5609, 7445, 9064, 259, 737, 1002, 994, 284, 24941, 343, 263, 24941, 345, 795, 1002, 1341, 18529, 344, 737, 1002, 264, 1317, 554, 666, 581, 6829, 538, 2474, 540, 5609, 543, 5430, 540, 519, 824, 5011, 780, 810, 1287, 642, 12297, 13005, 815, 642, 259, 3709, 344, 4151, 263, 343, 267, 586, 267, 1990, 264, 24941, 343, 24941, 345, 1341, 642, 259, 3709, 345, 4151, 263, 343, 11971, 267, 345, 264, 24941, 343, 24941, 344, 692, 327, 2100, 2685, 865, 2484, 865, 1434, 269, 3767, 585, 519, 824, 8188, 692, 321, 18847, 692, 6767, 815, 18529, 343, 24941, 344, 11196, 330, 1002, 4287, 2020, 341, 12297, 13005, 815, 910, 341, 259, 3709, 345, 4151, 263, 343, 267, 586, 267, 1990, 268, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 345, 264, 24941, 343, 24941, 344, 692, 3724, 18750, 343, 7077, 2020, 6767, 815, 18529, 343, 24941, 345, 692, 341, 12297, 13005, 815, 910, 341, 259, 3709, 344, 4151, 263, 343, 267, 586, 268, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 267, 1990, 264, 24941, 343, 24941, 345, 692, 810, 1287, 950, 594, 2322, 621, 782, 1927, 543, 7941, 676, 18529, 16483, 815, 4399, 2765, 346, 272, 2410, 273, 4151, 24941, 343, 24941, 344, 24941, 345, 692, 527, 3592, 5654, 899, 519, 4214, 540, 513, 12045, 4849, 594, 993, 2451, 609, 513, 476, 272, 270, 273, 269, 1548, 1705, 594, 4413, 286, 7102, 948, 1131, 581, 7494, 15874, 543, 952, 596, 991, 803, 547, 12172, 1577, 803, 917, 780, 16920, 3737, 28567, 1384, 17572, 2450, 912, 272, 269, 277, 22995, 454, 21366, 912, 7830, 454, 1892, 4137, 273, 26666, 454, 17572, 2450, 912, 273, 22995, 454, 21366, 912, 7830, 454, 273, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 20756, 16921, 267, 594, 1131, 2731, 5660, 930, 948, 865, 952, 972, 568, 1945, 594, 729, 15458, 827, 1577, 803, 917, 543, 594, 786, 2119, 543, 12172, 2417, 7064, 780, 274, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 4811, 5500, 692, 9616, 1269, 325, 3287, 266, 320, 264, 1422, 13627, 535, 3287, 264, 1341, 535, 21948, 343, 9385, 281, 320, 259, 585, 1507, 1269, 320, 16859, 12024, 3772, 1269, 325, 3287, 8584, 264, 1422, 13627, 535, 3287, 264, 910, 535, 21948, 343, 9385, 281, 320, 6911, 13295, 267, 875, 1131, 596, 16977, 1269, 309, 14729, 3287, 267, 586, 10559, 2765, 3189, 18773, 586, 2410, 273, 9574, 1990, 7751, 2496, 275, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 3383, 692, 284, 7445, 2765, 346, 314, 309, 3709, 344, 12917, 343, 11971, 267, 345, 9984, 309, 3709, 344, 12917, 343, 267, 586, 10559, 2765, 346, 272, 2410, 273, 348, 24941, 344, 267, 345, 13580, 7346, 2765, 346, 272, 2410, 273, 348, 24941, 344, 21456, 284, 309, 259, 3709, 344, 4151, 263, 343, 11971, 267, 345, 264, 910, 966, 259, 3709, 344, 4151, 263, 343, 11971, 267, 345, 264, 1341, 4399, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 4151, 263, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 264, 1315, 630, 7445, 2765, 346, 272, 2410, 273, 4151, 24941, 344, 994, 284, 7445, 2765, 346, 4501, 480, 341, 3709, 344, 12453, 4501, 480, 344, 10592, 322, 8091, 2496, 28989, 585, 519, 4057, 11249, 594, 993, 1869, 3478, 1031, 547, 713, 3735, 343, 8631, 692, 276, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 4811, 5500, 692, 8133, 267, 602, 781, 2953, 780, 277, 269, 9484, 476, 2190, 267, 476, 1001, 274, 692, 7474, 7666, 344, 1691, 692, 302, 10798, 9684, 596, 1586, 256, 0, 10000, 323, 908, 3406, 2164, 13718, 258, 476, 6812, 11778, 692, 8698, 454, 15675, 539, 12086, 912, 1892, 1297, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1103, 713, 3381, 267, 513, 2875, 6941, 875, 547, 946, 519, 1858, 2203, 585, 8691, 269, 634, 1858, 2203, 568, 513, 8691, 4640, 1759, 593, 10920, 19397, 2338, 1759, 517, 1747, 1871, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 13312, 8183, 270, 26877, 755, 1674, 454, 11328, 5562, 454, 22826, 270, 13981, 15613, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 2764, 270, 1708, 271, 454, 18744, 19457, 18983, 26860, 454, 6717, 15760, 9539, 290, 9539, 291, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 13043, 3756, 616, 1187, 267, 30070, 267, 543, 1683, 3255, 585, 1053, 547, 1628, 1297, 2035, 267, 7744, 267, 543, 21711, 269, 1452, 3756, 949, 581, 1031, 607, 2979, 10473, 610, 607, 2898, 1895, 1565, 3255, 269, 901, 3758, 3568, 8846, 543, 2326, 585, 1849, 13831, 476, 273, 2979, 3756, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 29228, 454, 5881, 270, 1015, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 307, 2532, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 563, 307, 2532, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 6187, 270, 4905, 270, 1708, 271, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 10376, 13613, 3568, 513, 1114, 4528, 540, 519, 10203, 1053, 4305, 269, 3962, 4305, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 269, 570, 3696, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 5881, 270, 6021, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 10376, 13613, 3568, 513, 1114, 4528, 540, 519, 10203, 1053, 4305, 269, 3962, 4305, 3340, 1053, 547, 1293, 593, 689, 513, 2016, 1297, 269, 570, 3696, 949, 581, 1031, 585, 14292, 610, 4879, 5301, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 1556, 270, 4905, 270, 1001, 280, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 3992, 568, 4303, 476, 279, 538, 513, 3126, 540, 476, 1321, 4245, 1472, 6824, 5973, 1878, 543, 16198, 780, 1607, 3381, 3992, 12857, 519, 1297, 607, 513, 1907, 585, 8204, 543, 9236, 8454, 269, 4841, 786, 991, 513, 3109, 4062, 540, 513, 1957, 543, 513, 15513, 609, 513, 1434, 2144, 6471, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 11328, 5562, 454, 8893, 454, 8245, 1637, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 1839, 270, 1708, 271, 454, 4462, 6135, 24071, 2422, 454, 6717, 15760, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 568, 835, 2009, 1259, 547, 946, 519, 9864, 23479, 4640, 585, 6498, 780, 1103, 713, 3381, 267, 476, 276, 628, 3446, 1053, 946, 519, 9864, 23479, 6498, 4640, 547, 4194, 513, 476, 274, 18251, 676, 476, 272, 18251, 6498, 1966, 269, 2755, 713, 1362, 5956, 609, 513, 2634, 29746, 267, 621, 568, 711, 2556, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 12244, 13624, 629, 454, 13312, 8183, 270, 26877, 755, 1674, 454, 11328, 5562, 454, 22826, 270, 13981, 15613, 454, 12041, 912, 291, 1177, 928, 595, 20269, 454, 6187, 270, 2764, 270, 1708, 271, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 1053, 946, 519, 1930, 1297, 1899, 543, 1585, 2994, 547, 4194, 1840, 1650, 2042, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1691, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 267, 1053, 616, 5189, 547, 519, 581, 12184, 1297, 1899, 607, 513, 1907, 547, 948, 873, 4194, 1840, 543, 12408, 2042, 1369, 476, 736, 269, 901, 3992, 568, 538, 1079, 2694, 543, 949, 581, 6026, 936, 811, 982, 835, 1554, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1321, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1103, 713, 3992, 267, 1053, 1020, 606, 1620, 540, 10920, 19397, 2338, 547, 1039, 1210, 15561, 6486, 269, 4841, 786, 1921, 713, 4640, 547, 519, 1297, 1899, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 8893, 454, 8893, 4643, 454, 5881, 270, 1691, 270, 1001, 280, 454, 30812, 819, 531, 3816, 1460, 1299, 9523, 18983, 26860, 454, 6717, 15760, 9539, 290, 4149, 288, 454, 305, 908, 454, 271, 269, 271, 6801, 692, 1607, 4199, 568, 851, 540, 13088, 275, 10998, 27645, 780, 1607, 17142, 3568, 14827, 17914, 585, 4441, 715, 6630, 269, 272, 543, 715, 6630, 269, 278, 269, 1401, 527, 17914, 616, 2854, 6114, 547, 2055, 15054, 693, 519, 1439, 540, 513, 3992, 269, 1358, 616, 5618, 10526, 799, 1450, 519, 4116, 547, 3313, 2875, 1620, 540, 519, 2035, 543, 1983, 6026, 602, 1554, 269, 2311, 519, 4098, 540, 519, 1153, 1032, 267, 621, 949, 581, 2556, 547, 4159, 513, 10145, 5299, 540, 519, 14827, 19044, 593, 519, 4604, 543, 1224, 16965, 547, 1053, 269, 1306, 4116, 14509, 267, 1053, 960, 10446, 593, 741, 1378, 5299, 540, 519, 14827, 19044, 780, 20428, 912, 12385, 24136, 454, 300, 1468, 7392, 912, 10112, 20156, 454, 13528, 894, 10495, 454, 20236, 10495, 454, 5400, 270 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 543, 1702, 827, 3617, 10763, 5773, 269, 634, 1079, 12535, 602, 941, 5697, 585, 519, 1353, 941, 5697, 1317, 3114, 9382, 6394, 693, 519, 29815, 776, 28182, 6700, 602, 519, 1079, 12535, 1185, 1114, 4162, 269, 19594, 15880, 630, 6195, 264, 24865, 689, 519, 7262, 27743, 15142, 543, 9741, 16959, 15880, 630, 17162, 290, 264, 24865, 1106, 519, 9456, 23617, 269, 30551, 4632, 6027, 3769, 2168, 11305, 8707, 6724, 267, 8762, 5735, 543, 513, 24194, 540, 8407, 269, 3245, 713, 1239, 621, 729, 4767, 602, 476, 272, 269, 519, 1079, 12535, 616, 1114, 538, 2470, 476, 273, 269, 519, 2494, 6523, 32549, 12074, 547, 519, 7532, 3812, 1164, 1530, 2157, 538, 700, 17584, 476, 274, 269, 1312, 12535, 1185, 1164, 1875, 25993, 552, 269, 19546, 5095, 476, 275, 269, 519, 12535, 941, 12936, 267, 855, 8335, 267, 676, 4155, 632, 268, 6005, 769, 3932, 267, 519, 3114, 8984, 540, 5266, 1507, 29815, 776, 12535, 666, 4268, 3648, 538, 8901, 543, 13796, 2474, 1256, 585, 12535, 602, 616, 4092, 538, 9583, 2673, 16133, 269, 4438, 1970, 2095, 2175, 891, 12535, 723, 519, 1761, 547, 3648, 1764, 519, 3677, 6908, 883, 799, 789, 2095, 563, 291, 17805, 7392, 281, 3194, 9137, 454, 26397, 4266, 281, 5130, 476, 272, 267, 476, 1220, 277, 454, 5415, 827, 713, 8313, 888, 268, 18619, 540, 519, 4826, 5113, 18966, 568, 606, 21287, 540, 4574, 3370, 538, 519, 18659, 540, 519, 5993, 4826, 5113, 18966, 10378, 14502, 1401, 22128, 543, 10985, 630, 310, 9128, 307, 4488, 10378, 3738, 543, 20614, 19014, 4371, 2094, 519, 1032, 476, 1220, 271, 269, 1452, 18659, 616, 711, 9263, 12649, 269, 654, 9128, 16840, 281, 6178, 538, 630, 2431, 8470, 264, 609, 707, 769, 7217, 320, 21010, 3593, 2012, 543, 10957, 547, 4309, 5360, 21747, 1569, 563, 268, 4427, 18285, 547, 713, 7170, 454, 268, 16840, 1222, 6176, 454, 268, 6168, 654, 9128, 18619, 454, 268, 654, 9128, 307, 4488, 10985, 6176, 454, 268, 3824, 550, 13154, 1536, 568, 711, 3743, 585, 519, 1543, 610, 8244, 540, 5007, 7270, 0, 20684, 476, 272, 1892, 4400, 569, 3860, 1053, 723, 7965, 538, 519, 2757, 4928, 630, 293, 2280, 7815, 267, 476, 1001, 272, 994, 20684, 476, 273, 1892, 27065, 568, 2877, 676, 476, 2641, 560, 2540, 2486, 630, 291, 984, 321, 1231, 267, 476, 1220, 280, 994, 20684, 476, 274, 1892, 634, 2796, 538, 799, 1945, 568, 4121, 538, 513, 2757, 4928, 949, 581, 1114, 689, 519, 1259, 621, 568, 4294, 2663, 538, 1272, 630, 300, 752, 601, 267, 476, 1220, 280, 994, 299, 871, 540, 27065, 779, 28483, 700, 19272, 5508, 281, 1892, 8112, 1892, 5169, 1275, 1892, 13916, 454, 2108, 14807, 622, 4658, 585, 519, 11300, 6520, 892, 630, 300, 752, 601, 267, 476, 1220, 280, 264, 21886, 5971, 1007, 2093, 267, 29293, 1299, 3435, 630, 293, 2280, 7815, 267, 476, 1001, 272, 994, 312, 21788, 631, 3041, 31064, 281, 3629, 606, 3872, 1604, 602, 568, 18398, 543, 17598, 547, 519, 2875, 454, 27066, 291, 984, 321, 1231, 267, 918, 269, 630, 1220, 280, 1040, 11819, 5876, 1369, 519, 1699, 2069, 1062, 281, 513, 2013, 1353, 540, 519, 11994, 540, 3119, 3610, 269, 4065, 476, 274, 268, 1724, 267, 476, 4391, 263, 273, 1070, 476, 4817, 268, 10441, 269, 8222, 281, 1015, 269, 10482, 271, 270, 27157, 271, 5655, 3583, 279, 22903, 14695, 3953, 293, 2280, 7815, 267, 570, 269, 630, 1001, 272, 1040, 11300, 15154, 538, 12140, 281, 15531, 519, 834, 9617, 9406, 257, 7420, 585, 4841, 269, 717, 26661, 4132, 4653, 267, 476, 4097, 263, 273, 1070, 476, 4391, 8160, 752, 601, 267, 631, 269, 595, 269, 630, 1220, 280, 1040, 6435, 721, 5876, 3173, 267, 596, 516, 938, 1152, 4126, 269, 10017, 2986, 589, 652, 12060, 267, 27065, 267, 1656, 634, 8551, 267, 476, 274, 263, 272, 1070, 476, 4343, 268, 5655, 269, 8222, 281, 1015, 269, 9818, 278, 21669, 9826, 5392, 272, 280, 454, 288, 1880, 13472, 20414, 707, 3750, 888, 5141, 6235, 568, 513, 13561, 1259, 547, 2445, 1271, 15942, 596, 1616, 547, 979, 1394, 547, 2663, 269, 0, 7093, 21752, 540, 19715, 3635, 4267, 9172, 9955, 547, 519, 3635, 593, 840, 21752, 763, 4267, 547, 519, 3635, 2776, 21752, 540, 19715, 3635, 1565, 2296, 7994, 519, 2953, 2626, 17781, 519, 2953, 2626, 476, 272, 269, 634, 1433, 568, 896, 519, 4216, 540, 8031, 269, 476, 273, 269, 634, 6552, 1852, 568, 1985, 547, 519, 4216, 540, 8031, 1547, 476, 274, 269, 634, 11480, 568, 3297, 519, 4216, 540, 8031, 269, 476, 275, 269, 634, 8031, 616, 538, 519, 4216, 269, 276, 269, 634, 1433, 568, 593, 519, 3349, 5861, 9631, 10968, 519, 5624, 21607, 519, 2953, 840, 6570, 538, 519, 10145, 2230, 272, 269, 634, 23475, 28904, 616, 538, 519, 9126, 269, 273, 269, 634, 7131, 338, 616, 1985, 547, 270, 2421, 519, 4837, 269, 274, 269, 634, 4837, 568, 1063, 519, 9126, 543, 519, 7131, 338, 269, 275, 269, 634, 9126, 568, 593, 519, 3349, 269, 276, 269, 634, 7131, 338, 616, 538, 741, 2665, 269, 277, 269, 634, 1216, 568, 538, 519, 4837, 11053, 4902, 610, 8771, 286, 12585, 519, 2055, 609, 3020, 610, 7301, 272, 269, 634, 1433, 568, 5835, 269, 6936, 273, 269, 634, 7131, 338, 616, 782, 519, 1482, 7990, 269, 8771, 274, 269, 634, 6552, 1852, 568, 15454, 269, 8771, 275, 269, 634, 4837, 568, 8900, 269, 8771, 276, 269, 634, 11480, 568, 538, 4395, 540, 519, 8031, 269, 8771, 27832, 976, 602, 616, 1644, 547, 519, 3635, 2414, 2070, 1022, 540, 519, 4245, 2630, 4945, 593, 3095, 269, 7093, 21752, 2296, 3992, 1103, 593, 693, 3635, 593, 840, 21752, 1565, 2296, 2181, 21752, 769, 593, 693, 2296, 3992, 454, 292, 6470, 10605, 4804, 593, 11060, 8675, 543, 875, 547, 946, 21594, 12812, 593, 519, 1739, 3095, 585, 519, 2201, 1899, 2296, 8675, 910, 2296, 3992, 292, 6470, 623, 864, 4804, 17072, 2252, 596, 616, 10010, 609, 513, 3992, 610, 606, 3635, 2022, 513, 2243, 649, 786, 2119, 543, 948, 596, 610, 2022, 707, 4267, 663, 1577, 1866, 5635, 609, 1018, 596, 723, 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 ]

[ 15654, 9136, 563, 305, 2393, 19219, 281, 898, 568, 519, 1283, 6843, 602, 1281, 711, 723, 1022, 2385, 563, 8867, 2378, 715, 3941, 610, 12910, 1400, 715, 3941, 281, 1452, 616, 519, 9136, 602, 798, 711, 723, 1022, 1126, 6843, 269, 595, 267, 667, 267, 661, 267, 717, 267, 543, 670, 616, 519, 6978, 9136, 563, 26073, 281, 634, 5311, 540, 15654, 8728, 568, 1634, 607, 513, 2619, 563, 2304, 6827, 832, 281, 7102, 6843, 538, 519, 2619, 689, 519, 3597, 547, 602, 6843, 269, 1280, 1383, 267, 519, 11937, 540, 670, 616, 674, 543, 589, 563, 306, 15269, 281, 715, 3941, 602, 4866, 547, 519, 1482, 2385, 616, 1572, 16254, 269, 645, 267, 661, 267, 543, 674, 616, 16254, 563, 291, 12801, 281, 634, 4110, 540, 513, 6843, 568, 519, 1297, 540, 1453, 519, 6843, 814, 634, 4110, 540, 6843, 589, 568, 476, 274, 269, 589, 6978, 6843, 814, 513, 4110, 540, 476, 271, 563, 3891, 697, 281, 634, 4463, 540, 513, 6843, 538, 513, 3529, 568, 519, 3259, 540, 519, 5021, 2619, 689, 519, 6843, 547, 519, 6978, 6843, 269, 634, 4463, 540, 519, 3529, 568, 519, 4463, 540, 519, 3597, 6843, 563, 291, 3704, 281, 634, 3178, 540, 513, 6843, 538, 513, 3529, 568, 519, 3259, 540, 519, 2619, 689, 519, 6843, 547, 519, 3597, 6843, 269, 634, 4463, 540, 513, 3529, 568, 519, 5021, 4463, 540, 6978, 9136, 538, 519, 3529, 563, 8867, 12069, 281, 769, 513, 3529, 267, 519, 6978, 6843, 568, 693, 1377, 476, 271, 543, 621, 4679, 693, 1142, 1900, 1524, 2072, 269, 1280, 1383, 538, 519, 3529, 1657, 267, 519, 3597, 6843, 568, 693, 1377, 476, 271, 267, 715, 3941, 645, 267, 661, 267, 674, 616, 693, 1377, 476, 272, 267, 715, 3941, 595, 267, 667, 267, 717, 267, 543, 670, 616, 1377, 476, 273, 563, 8138, 10326, 281, 7102, 3529, 799, 568, 513, 1126, 540, 513, 6843, 269, 570, 272, 267, 570, 273, 267, 543, 570, 274, 616, 519, 5705, 4181, 563, 20288, 560, 281, 589, 4104, 568, 1305, 540, 771, 329, 2002, 4054, 269, 3371, 519, 1305, 9967, 540, 570, 272, 267, 570, 273, 543, 570, 274, 568, 4104, 563, 21104, 725, 2986, 10326, 769, 4578, 12856, 454, 268, 634, 3758, 1062, 538, 12380, 5665, 1062, 3096, 513, 3529, 563, 268, 769, 14103, 267, 519, 667, 6865, 20573, 17805, 8629, 7844, 264, 568, 513, 3529, 563, 268, 634, 645, 4306, 799, 568, 513, 1826, 540, 3529, 568, 1031, 585, 2500, 18570, 543, 10478, 540, 2609, 563, 268, 3281, 32078, 946, 513, 16105, 3529, 547, 19472, 519, 16105, 540, 1169, 1982, 596, 2328, 563, 268, 19029, 616, 849, 1031, 676, 1034, 1455, 12240, 547, 4558, 1239, 269, 0, 288, 6836, 543, 7318, 1305, 540, 476, 273, 3211, 593, 3223, 603, 670, 2130, 267, 1390, 585, 23794, 274, 1148, 543, 6552, 1565, 563, 17582, 18694, 476, 272, 910, 5071, 513, 6049, 2013, 538, 519, 2511, 540, 3223, 603, 670, 2130, 267, 2347, 609, 2875, 1806, 538, 7990, 543, 3109, 1299, 3043, 563, 17582, 18694, 476, 273, 910, 30310, 1382, 593, 3223, 603, 670, 2130, 2347, 609, 1344, 547, 1224, 543, 2055, 547, 2626, 563, 7476, 713, 4199, 607, 851, 540, 513, 22753, 543, 4688, 909, 547, 476, 4792, 14999, 288, 22753, 568, 513, 10189, 540, 2200, 19882, 1927, 547, 4001, 513, 1880, 1888, 267, 610, 513, 3126, 540, 4245, 267, 538, 835, 1747, 563, 1556, 23794, 274, 3203, 7689, 6096, 31087, 5588, 292, 19845, 27073, 5058, 454, 1556, 1114, 1148, 3211, 267, 1390, 585, 6552, 1565, 267, 3382, 4245, 610, 607, 10137, 4247, 269, 2422, 995, 585, 23794, 274, 543, 23794, 275, 269, 11762, 4988, 3769, 281, 16971, 3203, 7849, 22553, 27673, 11709, 717, 26710, 28741, 4223, 23579, 3979, 631, 3696, 543, 20266, 27591, 24434, 344, 3223, 603, 670, 2130, 667, 22259, 3203, 454, 1607, 4199, 18387, 1405, 1044, 12649, 2943, 454, 2414, 2327, 2298, 585, 938, 8039, 267, 1152, 5561, 945, 723, 12349, 713, 4199, 666, 2689, 621, 454, 27751, 713, 759, 712, 322, 16587, 1577, 721, 917, 952, 621, 3423, 919, 938, 2474, 543, 2175, 563, 5978, 6075, 3028, 2319, 786, 2689, 707, 1867, 543, 786, 581, 538, 5905, 269, 0, 299, 16722, 15955, 5053, 4197, 519, 4427, 31019, 633, 28239, 538, 5053, 4427, 31019, 633, 24716, 609, 811, 1455, 22566, 7099, 9523, 4469, 760, 4580, 19478, 7179, 10897, 2006, 299, 1315, 5192, 1399, 16103, 5053, 18049, 3778, 1299, 9177, 25460, 10586, 18500, 5675, 10341, 1635, 717, 14283, 661, 5341, 11420, 5053, 5678, 16869, 645, 6993, 1421, 22208, 7414, 2160, 717, 14283, 661, 5341, 11420, 568, 513, 5053, 1893, 4274, 945, 814, 2813, 5053, 4245, 585, 23539, 10870, 2094, 476, 1960, 279, 269, 938, 21107, 1184, 717, 14283, 661, 5341, 11420, 21213, 5437, 476, 1691, 267, 476, 1001, 280, 634, 1016, 31019, 633, 7099, 666, 581, 18447, 585, 2296, 10529, 945, 616, 1565, 5053, 269, 901, 568, 6140, 1317, 1256, 1498, 2296, 814, 922, 1378, 1016, 31019, 633, 7099, 267, 649, 1810, 1405, 946, 922, 10058, 3029, 1360, 1419, 269, 4475, 267, 519, 1016, 31019, 633, 666, 1419, 1034, 3362, 581, 4121, 676, 4974, 1806, 540, 922, 946, 269, 1548, 1772, 519, 4427, 31019, 633, 28239, 286, 2913, 781, 1376, 609, 519, 9238, 281, 634, 7099, 630, 27271, 1572, 519, 7154, 264, 540, 519, 8231, 2901, 20475, 519, 10584, 781, 10182, 4724, 519, 8231, 610, 6257, 875, 519, 8231, 568, 1031, 538, 513, 4845, 269, 634, 1034, 1455, 7099, 9789, 22566, 7099, 28934, 1031, 547, 3277, 547, 1018, 568, 1483, 267, 547, 1533, 5013, 267, 547, 1118, 3616, 25730, 269, 1280, 1383, 267, 519, 8231, 538, 834, 8867, 334, 1714, 5391, 549, 257, 630, 296, 993, 2542, 519, 1433, 264, 568, 538, 519, 22566, 7099, 269, 769, 4334, 267, 519, 1016, 31019, 633, 7099, 568, 3335, 1031, 538, 971, 513, 1259, 602, 519, 8231, 781, 2495, 12211, 547, 875, 519, 10584, 7959, 827, 621, 269, 769, 519, 4845, 834, 19324, 704, 334, 6446, 1609, 2946, 21688, 714, 257, 630, 296, 4126, 602, 1352, 568, 6126, 1070, 519, 2034, 8231, 267, 1609, 2946, 630, 529, 1070, 949, 610, 949, 711, 581, 4641, 282, 1018, 568, 1271, 1934, 568, 519, 10584, 781, 10182, 4724, 519, 2034, 3368, 540, 519, 4845, 269, 6201, 540, 519, 4427, 31019, 633, 28239, 7743, 3096, 540, 519, 1016, 31019, 633, 7099, 666, 1655, 581, 2938, 998, 1806, 269, 769, 891, 3732, 5220, 267, 519, 5053, 13450, 616, 782, 538, 519, 1016, 31019, 633, 7099, 630, 16838, 952, 519, 2296, 13450, 616, 711, 1040, 634, 3137, 666, 948, 596, 1174, 1946, 519, 13450, 616, 538, 519, 1016, 31019, 633, 7099, 538, 519, 1101, 1747, 269, 2372, 1512, 334, 6446, 1100, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 1616, 596, 547, 711, 581, 4411, 4700, 898, 781, 13061, 2436, 610, 711, 519, 1268, 568, 4411, 610, 711, 269, 634, 4845, 20475, 513, 6999, 267, 711, 8209, 4641, 269, 590, 1304, 334, 6446, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 6415, 20994, 596, 616, 4411, 4700, 634, 4845, 20475, 519, 10584, 781, 4664, 827, 513, 9228, 4641, 269, 1548, 568, 1271, 538, 713, 4845, 568, 519, 10584, 781, 4606, 267, 711, 952, 519, 824, 1268, 568, 2965, 4411, 269, 1855, 798, 344, 11465, 11024, 638, 9508, 16948, 6446, 1100, 512, 1263, 553, 9992, 6403, 334, 269, 630, 296, 6415, 4758, 596, 1250, 10359, 865, 596, 4465, 1405, 581, 4411, 4700, 634, 4845, 20475, 519, 10584, 781, 8247, 267, 711, 8209, 4641, 269, 1530, 7989, 924, 6446, 561, 548, 1597, 11024, 21103, 553, 782, 6403, 269, 630, 10144, 616, 4847, 547, 5957, 13544, 1115, 972, 4700, 634, 8360, 20475, 10479, 585, 606, 2962, 547, 1491, 1747, 269, 667, 850, 513, 552, 12848, 6446, 561, 548, 557, 19448, 11024, 638, 9508, 269, 630, 307, 749, 1200, 547, 5957, 1200, 29075, 4700, 901, 20475, 513, 4971, 610, 6999, 540, 519, 10584, 269, 10507, 4782, 1043, 6446, 579, 23264, 525, 1100, 3842, 329, 523, 12103, 10722, 3570, 513, 700, 1180, 637, 269, 630, 2005, 568, 30074, 602, 596, 1810, 1405, 2951, 547, 5507, 14182, 4700, 634, 1016, 31019, 633, 568, 1419, 1031, 538, 4758, 5796, 269, 3143, 18720, 562, 611, 773, 6446, 512, 1263, 320, 9992, 6403, 334, 269, 630, 301, 984, 1328, 568, 4411, 4700, 901, 568, 606, 4082, 540, 513, 2258, 566, 540, 519, 2962, 538, 513, 29884, 16083, 269, 13669, 1654, 345, 512, 1263, 320, 9992, 6403, 334, 269, 630, 22818, 646, 568, 4411, 4700, 901, 568, 606, 4082, 540, 8969, 269, 13961, 586, 334, 8034, 5028, 678, 4815, 267, 547, 8364, 17144, 1714, 3423, 27713, 269, 630, 2252, 594, 941, 513, 3638, 812, 267, 594, 1131, 1404, 519, 535, 1497, 4700, 901, 568, 606, 4082, 540, 513, 3948, 14669, 547, 1249, 269, 8074, 602, 538, 713, 2296, 8144, 267, 834, 26200, 257, 568, 849, 538, 519, 1016, 31019, 633, 7099, 269, 24951, 519, 4427, 31019, 633, 543, 25824, 1438, 28239, 338, 1452, 4845, 8424, 1397, 3604, 1063, 519, 22566, 543, 1016, 31019, 633, 269, 8074, 875, 538, 1034, 540, 519, 1806, 267, 519, 2296, 8231, 1106, 568, 519, 1482, 538, 24758, 519, 1079, 5053, 30181, 269, 7151, 476, 272, 25824, 894, 281, 10507, 524, 328, 15300, 6446, 9042, 512, 31938, 269, 630, 2005, 568, 17386, 602, 1352, 568, 6028, 3735, 4700, 4427, 31019, 633, 281, 10507, 791, 657, 1043, 6446, 2892, 8615, 512, 31938, 269, 10507, 21483, 6446, 2892, 8615, 512, 31938, 269, 630, 2005, 568, 7543, 602, 1352, 568, 6028, 3735, 269, 898, 568, 2693, 602, 1352, 786, 4734, 3735, 4700, 19247, 281, 769, 519, 22566, 4845, 267, 519, 2038, 22576, 568, 4843, 607, 1249, 269, 769, 519, 1866, 267, 621, 568, 711, 269, 7151, 476, 273, 25824, 894, 281, 22084, 1723, 1714, 1286, 549, 3046, 6737, 6446, 30775, 542, 320, 269, 630, 296, 6415, 3168, 585, 519, 10464, 1286, 602, 1568, 4700, 4427, 31019, 633, 281, 22084, 1723, 796, 1286, 549, 3046, 6737, 6446, 30775, 7748, 269, 630, 296, 6415, 3168, 585, 513, 10464, 1286, 602, 1568, 4700, 19247, 281, 769, 519, 1101, 1383, 267, 519, 10584, 6487, 602, 972, 568, 513, 1286, 602, 13292, 519, 6609, 267, 865, 519, 22566, 568, 1031, 607, 606, 4082, 540, 4641, 269, 769, 519, 2034, 1383, 267, 972, 568, 8969, 602, 971, 513, 1286, 6818, 267, 865, 519, 1016, 31019, 633, 568, 1031, 269, 7151, 476, 274, 25824, 894, 281, 11511, 334, 6446, 3288, 3643, 14397, 1965, 27118, 269, 630, 296, 3494, 519, 21233, 568, 27118, 4700, 4427, 31019, 633, 281, 3143, 1212, 334, 6446, 3288, 3643, 14397, 4262, 27118, 269, 630, 296, 1810, 1405, 3494, 519, 21233, 568, 27118, 4700, 19247, 281, 634, 1016, 31019, 633, 568, 1031, 538, 519, 2034, 1383, 1317, 519, 29884, 16083, 568, 2258, 730, 676, 519, 1292, 16083, 269, 13575, 267, 519, 22566, 568, 1031, 609, 1212, 518, 6446, 610, 23445, 541, 6446, 267, 1247, 519, 1016, 31019, 633, 568, 1031, 609, 1100, 1212, 518, 6446, 610, 1100, 23445, 541, 6446, 269, 7151, 476, 275, 25824, 894, 281, 10507, 1073, 341, 1470, 6446, 512, 1329, 525, 7188, 3266, 269, 630, 2005, 568, 6654, 596, 723, 2724, 4700, 4427, 31019, 633, 281, 10507, 1207, 523, 334, 6446, 512, 1263, 553, 7188, 3266, 269, 630, 2005, 568, 1434, 596, 723, 2724, 4700, 19247, 281, 634, 22566, 568, 1031, 538, 519, 1101, 1383, 1317, 621, 20475, 4641, 610, 7805, 4641, 269, 634, 1016, 31019, 633, 568, 1031, 538, 519, 824, 1383, 1317, 519, 4845, 568, 513, 5114, 547, 519, 3948, 538, 519, 29884, 16083, 269, 7151, 476, 276, 25824, 894, 281, 13206, 5055, 536, 1329, 11188, 4302, 1965, 1096, 1729, 269, 630, 3891, 14753, 1134, 1317, 646, 781, 606, 4274, 4700, 4427, 31019, 633, 281, 13206, 5055, 536, 1329, 635, 334, 23313, 8034, 5028, 1096, 1729, 269, 630, 3891, 14753, 1134, 607, 952, 646, 941, 606, 4274, 4700, 19247, 281, 634, 1016, 31019, 633, 568, 1031, 538, 519, 2034, 1383, 1317, 621, 781, 13061, 547, 519, 4845, 2436, 646, 781, 606, 4274, 267, 4352, 519, 4845, 5267, 602, 646, 3884, 1405, 269, 7151, 476, 277, 25824, 894, 281, 13658, 27222, 3138, 533, 4240, 523, 554, 27468, 269, 630, 22818, 789, 666, 798, 621, 1496, 663, 594, 6415, 2386, 540, 621, 316, 4700, 4427, 31019, 633, 281, 13658, 27222, 3138, 533, 4240, 534, 554, 27468, 269, 630, 22818, 789, 666, 798, 621, 1496, 8117, 594, 8969, 621, 316, 4700, 19247, 281, 769, 513 ]

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

[ 7445, 24472, 318, 272, 6025, 264, 815, 512, 8961, 1269, 339, 1422, 514, 30585, 305, 267, 28363, 22668, 316, 14204, 7445, 24472, 318, 273, 6025, 264, 815, 512, 8961, 1269, 339, 1422, 514, 1496, 315, 22668, 267, 681, 316, 14204, 7445, 24472, 318, 274, 6025, 264, 815, 1422, 22668, 552, 3867, 328, 512, 20954, 1269, 339, 1422, 514, 1496, 271, 267, 1422, 7032, 316, 14204, 7445, 24472, 318, 275, 6025, 264, 815, 681, 552, 3867, 328, 512, 20954, 1269, 339, 1422, 514, 1496, 271, 267, 1422, 7032, 316, 6911, 3528, 595, 879, 16408, 781, 14497, 267, 519, 7533, 936, 519, 2898, 26048, 568, 4642, 269, 1924, 10484, 259, 271, 815, 1422, 842, 18155, 24472, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 910, 1422, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 275, 348, 535, 18750, 264, 546, 345, 6911, 2171, 1631, 6023, 1142, 540, 891, 29398, 14384, 780, 7445, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 3709, 268, 305, 8703, 10559, 22668, 348, 1422, 2765, 346, 324, 3867, 328, 1990, 12453, 345, 348, 546, 345, 815, 28363, 842, 18155, 22668, 11892, 305, 1422, 2765, 346, 324, 13064, 328, 1990, 12453, 345, 348, 546, 345, 14204, 7445, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 22668, 8703, 305, 348, 1422, 2765, 346, 324, 3867, 328, 1990, 12453, 345, 348, 546, 345, 6911, 13434, 16226, 519, 4214, 540, 519, 20534, 540, 513, 1950, 1297, 10484, 7445, 842, 18155, 24472, 318, 272, 348, 535, 18750, 264, 546, 345, 1341, 1422, 842, 18155, 24472, 318, 273, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 18155, 22668, 11892, 305, 1422, 2765, 346, 324, 3867, 328, 1990, 348, 910, 552, 13064, 328, 1990, 12453, 345, 348, 546, 345, 815, 476, 273, 328, 1422, 842, 18155, 22668, 11892, 305, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 6911, 3086, 649, 6218, 519, 824, 1079, 29398, 692, 7445, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 318, 271, 17353, 7032, 348, 1422, 2765, 346, 324, 13064, 1422, 22668, 552, 3867, 527, 3686, 1775, 1422, 22668, 552, 3867, 328, 512, 24828, 22668, 552, 3867, 328, 512, 3686, 24303, 815, 1775, 1422, 842, 318, 271, 17353, 7032, 348, 552, 13064, 1422, 22668, 552, 3867, 527, 3686, 24303, 6911, 2026, 4399, 22668, 1422, 1729, 476, 271, 8961, 519, 2076, 8681, 4485, 835, 267, 865, 692, 7445, 3916, 18155, 22668, 1422, 1729, 476, 271, 348, 1422, 842, 18155, 24472, 318, 274, 348, 535, 18750, 264, 546, 345, 815, 1775, 1422, 842, 318, 271, 17353, 7032, 348, 24303, 815, 1422, 7032, 1775, 6911, 763, 8772, 7533, 568, 3160, 547, 4642, 267, 855, 713, 568, 10169, 811, 2352, 547, 1397, 269, 4706, 1106, 568, 2147, 547, 602, 540, 519, 3791, 10126, 1384, 7445, 842, 18155, 24472, 318, 275, 348, 535, 18750, 264, 546, 345, 815, 1422, 842, 318, 271, 17353, 7032, 348, 552, 13064, 305, 552, 3867, 527, 3686, 24303, 6911, 1607, 2076, 8681, 568, 811, 2352, 267, 2094, 621, 991, 711, 1935, 4642, 10876, 269, 901, 7411, 666, 581, 7753, 676, 24590, 909, 519, 7533, 267, 855, 1934, 649, 3274, 8263, 621, 547, 581, 4642, 780, 23382, 1456, 3388, 267, 649, 1631, 723, 692, 7445, 842, 18155, 24472, 348, 535, 18750, 264, 546, 345, 815, 476, 271, 815, 476, 273, 1775, 1422, 842, 318, 271, 17353, 13727, 348, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 910, 1422, 7032, 1775, 6911, 17798, 10484, 7445, 842, 318, 271, 17353, 13727, 348, 1422, 2765, 3189, 7562, 1535, 2410, 343, 348, 15848, 815, 1422, 2765, 3189, 7032, 2410, 273, 10592, 290, 879, 16408, 781, 6715, 1537, 16754, 692, 290, 879, 16408, 781, 7533, 4542, 1915, 3278, 519, 2623, 540, 2868, 14521, 923, 3252, 593, 513, 1305, 1759, 593, 741, 2623, 593, 519, 10465, 540, 602, 1305, 269, 1403, 4399, 29604, 259, 568, 606, 1930, 1305, 609, 513, 4062, 3772, 5347, 10465, 543, 1269, 325, 259, 568, 2868, 25806, 538, 4399, 8663, 3189, 29604, 20954, 1287, 692, 259, 325, 18750, 264, 815, 1422, 2765, 346, 272, 2410, 273, 1422, 7032, 1775, 348, 1422, 842, 18155, 14783, 1422, 29604, 348, 1422, 2765, 346, 325, 7268, 345, 9508, 264, 546, 315, 345, 9508, 7346, 345, 9508, 22271, 348, 1422, 1422, 1422, 1422, 1721, 718, 1990, 1422, 514, 1422, 29604, 6911, 1607, 568, 513, 7415, 1249, 799, 814, 1100, 11218, 538, 1617, 19041, 762, 11810, 269, 898, 3081, 602, 952, 649, 917, 519, 2418, 540, 513, 2868, 25806, 1599, 2059, 513, 6806, 7455, 267, 1287, 649, 917, 922, 2418, 10876, 538, 519, 9703, 540, 519, 7455, 780, 10303, 1269, 345, 1422, 514, 1422, 29604, 8961, 606, 1930, 1305, 267, 621, 5205, 602, 4399, 345, 9508, 22271, 1422, 928, 336, 476, 271, 259, 585, 782, 4399, 345, 9508, 1422, 514, 1422, 14783, 1422, 29604, 10608, 9747, 519, 2076, 8681, 538, 595, 879, 16408, 781, 7533, 4542, 568, 28222, 1114, 4192, 609, 2463, 547, 1990, 267, 543, 676, 14578, 2921, 16755, 540, 1312, 5011, 267, 649, 1205, 692, 259, 325, 3867, 263, 333, 14587, 630, 345, 264, 815, 1422, 2765, 23533, 256, 2410, 273, 1422, 7032, 1775, 348, 1422, 842, 18155, 14783, 315, 29604, 348, 1422, 2765, 346, 325, 7268, 345, 9508, 264, 546, 315, 345, 9508, 2410, 7268, 345, 9508, 22271, 22722, 333, 266, 272, 3686, 1422, 1422, 1422, 1422, 1721, 718, 1990, 1422, 514, 1422, 29604, 267, 562, 1422, 514, 1422, 13992, 346, 301, 10592, 1607, 1267, 2982, 602, 2868, 25806, 640, 568, 513, 1454, 6793, 10421, 982, 1114, 6636, 269, 769, 519, 1950, 7077, 267, 952, 513, 1599, 814, 1175, 513, 2582, 12045, 538, 606, 1930, 1305, 267, 1287, 621, 814, 28222, 1082, 16755, 538, 602, 1305, 780, 17357, 3326, 2456, 540, 595, 879, 16408, 781, 14497, 692, 290, 879, 16408, 781, 14497, 543, 7533, 4542, 723, 513, 1297, 540, 3532, 1351, 3326, 2456, 1384, 1892, 20593, 10885, 540, 1379, 3126, 1403, 513, 1599, 568, 2868, 25806, 538, 513, 1167, 267, 1287, 922, 13177, 3126, 4780, 2471, 538, 713, 1167, 563, 1892, 9149, 537, 6807, 781, 14497, 1403, 513, 1599, 568, 22112, 543, 2868, 25806, 538, 782, 540, 4399, 13992, 346, 290, 4151, 1287, 621, 568, 3160, 547, 513, 3586, 563, 1892, 27284, 14497, 540, 10789, 2353, 21335, 540, 4110, 3152, 982, 4642, 609, 1950, 14170, 723, 513, 1950, 3597, 269, 901, 568, 513, 2241, 1351, 3326, 776, 540, 9149, 537, 6807, 781, 11532, 563, 1892, 25734, 540, 3252, 1403, 1079, 3252, 1269, 325, 259, 543, 1269, 326, 259, 616, 2868, 25806, 593, 513, 4448, 267, 1930, 1305, 4399, 29604, 8961, 543, 1269, 325, 18750, 6661, 326, 18750, 7751, 593, 1022, 1167, 538, 713, 1305, 267, 1287, 1269, 325, 18750, 6661, 326, 18750, 7751, 585, 782, 1269, 345, 1422, 514, 1422, 29604, 10608, 0, 258, 1215, 547, 1265, 519, 15497, 3259, 540, 513, 4009, 692, 320, 815, 2427, 3259, 7117, 815, 15497, 3259, 623, 815, 15943, 589, 815, 1858, 20734, 815, 4009, 3597, 18185, 2422, 2422, 713, 4009, 9498, 547, 1265, 519, 2427, 3259, 267, 15497, 3259, 267, 15943, 610, 1858, 540, 513, 12166, 692, 1012, 32243, 543, 769, 577, 4144, 21192, 18185, 692, 1103, 2241, 1913, 267, 519, 3259, 540, 513, 15497, 568, 3160, 547, 519, 3259, 540, 513, 2427, 16611, 676, 519, 4009, 3597, 540, 476, 273, 602, 568, 476, 272, 269, 29300, 269, 7151, 281, 14597, 519, 2427, 540, 4009, 3800, 476, 1724, 4699, 1287, 922, 15497, 786, 581, 546, 815, 521, 18414, 273, 4144, 21192, 815, 17121, 6398, 4009, 3597, 692, 1012, 4144, 21192, 540, 12384, 692, 2414, 5173, 513, 15497, 540, 513, 4009, 267, 9062, 519, 3259, 540, 835, 540, 519, 4009, 781, 5011, 676, 519, 4009, 3597, 540, 476, 273, 269, 1403, 596, 1810, 1405, 917, 519, 3259, 540, 835, 2427, 267, 596, 666, 1265, 621, 676, 726, 19982, 519, 4009, 781, 15943, 883, 519, 4542, 281, 15943, 815, 476, 275, 338, 267, 1141, 521, 568, 519, 3259, 540, 835, 2427, 269, 6423, 811, 692, 7476, 5530, 692, 7476, 19138, 568, 606, 3872, 3896, 602, 2488, 1053, 609, 1344, 593, 875, 547, 1353, 585, 741, 5049, 780, 23737, 2979, 4834, 692, 13043, 666, 581, 513, 2352, 1641, 585, 930, 1053, 267, 855, 609, 513, 2370, 9639, 543, 2259, 267, 621, 666, 581, 27058, 780, 29991, 14387, 3830, 692, 2414, 3313, 1018, 519, 2979, 1966, 568, 267, 596, 786, 991, 547, 1413, 693, 519, 2016, 1344, 543, 4137, 856, 1018, 568, 1373, 4280, 269, 4495, 596, 917, 1018, 519, 1966, 568, 267, 596, 666, 4194, 621, 1210, 519, 2016, 1344, 780, 1012, 9906, 16499, 517, 10118, 692, 27094, 621, 267, 519, 3268, 616, 2706, 2312, 269, 5395, 13124, 513, 3446, 1094, 591, 269, 4024, 2141, 946, 713, 256, 2485, 353, 15100, 267, 948, 29295, 538, 2025, 2042, 543, 1565, 1007, 2042, 269, 15020, 5363, 267, 2141, 4977, 269, 4706, 14393, 31397, 602, 649, 666, 4194, 2979, 1966, 1510, 20131, 543, 649, 666, 1451, 3728, 607, 1153, 610, 1164, 1153, 594, 600, 1360, 1970, 538, 2979, 855, 1310, 594, 946, 713, 813, 594, 546, 784, 917, 875, 594, 2968, 1101, 538, 1362, 780, 11990, 16690, 692, 276, 5182, 585, 596, 267, 1360, 1434, 543, 3551, 813, 602, 2337, 803, 609, 8357, 1944, 12596, 602, 594, 1419, 7340, 269, 6145, 1978, 3268, 585, 4834, 267, 621, 781, 31758, 782, 1250, 1966, 693, 476, 1911, 260, 6111, 267, 1100, 9073, 780, 298, 523, 12275, 21884, 692, 2791, 616, 519, 1655, 813, 10876, 256, 5272, 942, 594, 723, 7084, 593, 1250, 2979, 3992, 713, 568, 5863, 813, 14560, 596, 269, 901, 813, 568, 589, 7246, 313, 5058, 594, 9090, 4363, 621, 585, 1004, 945, 1616, 547, 1174, 606, 3830, 267, 621, 814, 782, 2645, 547, 2307, 519, 4834, 602, 3112, 581, 12193, 538, 606, 3328, 9498, 780, 21579, 3241, 30215, 692, 1012, 1215, 547, 12433, 4144, 21192, 20028, 9737, 12397, 619, 540, 513, 692, 763, 15497, 540, 4009, 4542, 815, 513, 18414, 273, 282, 1141, 1412, 320, 262, 568, 519, 2427, 3259, 269, 634, 2016, 2427, 3259, 568, 2655, 21114, 538, 713, 4542, 547, 1205, 519, 3259, 540, 519, 15497, 269, 1280, 1383, 267, 952, 519, 2427, 3259, 540, 513, 692, 24591, 942, 692, 2791, 666, 4688, 942, 676, 3257, 1919, 811, 7561, 780, 28733, 909, 2979, 1966, 692, 2252, 596, 2811, 10010, 547, 2312, 909, 513, 2979, 1966, 267, 1810, 1405, 2285, 909, 256, 1703, 616, 7899, 540, 2200, 543, 1004, 945, 666, 948, 596, 856, 269, 3807, 1832, 693, 621, 543, 596, 3513, 5555, 1205, 621, 780, 8201, 856, 14387, 1966, 692, 13043, 568, 513, 4101, 1641, 585, 1082, 1053, 267, 855, 609, 2259, 543, 18094, 267, 4896, 666, 1451, 547, 4137, 856, 1950, 4834, 780, 1012, 1215, 547, 4855, 519, 4144, 21192, 540, 513, 12384, 286, 630, 14300, 2020, 272, 269, 1280, 519, 1101, 2856, 267, 946, 519, 25355, 14497, 281, 2073, 1141, 513, 543, 536, 616, 519, 2427, 13080, 540, 519, 4009, 543, 524, 568, 519, 3259, 540, 519, 15497, 269, 476, 273, 269, 1403, 596, 917, 602, 20231, 10945, 666, 581, 1500, 883, 1079, 2027, 1318, 12730, 971, 602, 741, 7285, 616, 692, 1012, 476, 274, 18467, 547, 12433, 513, 4144, 21192, 540, 513, 12384, 692, 763, 4542, 547, 5173, 519, 1297, 540, 15497, 540, 606, 562, 21758, 20372, 815, 562, 3799, 268, 274, 8358, 273, 1141, 562, 568, 519, 1297, 540, 5011, 540, 519, 20372, 269, 1548, 568, 519, 3259, 540, 15497, 540, 513, 4009, 286, 2913, 1535, 4559, 581, 519, 692, 24169, 2262, 2055, 1932, 692, 13043, 568, 513, 1259, 540, 6061, 2042, 676, 1210, 2338, 543, 4834, 780, 5415, 982, 1175, 606, 813, 692, 2467, 781, 811, 547, 707, 3498, 982, 1175, 11423, 856, 519, 3029, 780, 29094, 6435, 6732, 692, 19185, 585, 513, 6325, 6780, 948, 2228, 286, 6744, 856, 938, 3896, 585, 476, 2190, 270, 278, 6351, 689, 938, 4274, 21493, 780, 13356, 728, 2979, 1966, 692, 296, 666, 948, 596, 609, 602, 2979, 1966, 256, 3807, 2285, 803, 513, 1906, 3764, 543, 594, 3513, 723, 519, 2626, 585, 596, 269, 0, 258, 1215, 547, 1265, 10167, 540, 476, 273, 3515, 540, 713, 3830, 2496, 273, 343, 266, 274 ]

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

[ 544, 4821, 267, 513, 19622, 6469, 543, 519, 1547, 3220, 682, 5501, 7005, 476, 24783, 272, 530, 322, 1915, 2079, 9267, 614, 682, 324, 7820, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 568, 513, 1404, 676, 561, 528, 9627, 554, 753, 9440, 713, 1404, 3217, 1747, 538, 669, 8522, 779, 5045, 2515, 930, 942, 1310, 1158, 2112, 13797, 563, 299, 528, 9627, 554, 534, 985, 9440, 779, 1404, 513, 986, 529, 514, 538, 519, 3141, 20475, 519, 9909, 543, 31536, 687, 540, 519, 1614, 2178, 4775, 3197, 538, 693, 2988, 673, 4008, 5107, 998, 1114, 5481, 561, 6511, 968, 332, 4821, 892, 7820, 568, 519, 1319, 686, 1105, 540, 519, 7820, 1920, 269, 634, 4775, 1909, 538, 513, 986, 529, 514, 538, 519, 3141, 3675, 324, 536, 561, 528, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 568, 519, 1650, 540, 513, 10010, 3109, 1920, 538, 669, 8522, 713, 1650, 24151, 554, 753, 9440, 781, 946, 540, 2178, 3109, 2021, 267, 1352, 729, 513, 10853, 7376, 267, 19832, 676, 8723, 543, 1483, 1004, 609, 1142, 835, 5693, 543, 12667, 569, 6537, 269, 31240, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 519, 3197, 538, 561, 528, 9627, 554, 753, 9440, 781, 1404, 616, 1360, 1713, 538, 1620, 519, 1404, 519, 3197, 616, 1806, 540, 789, 1259, 561, 528, 9627, 5030, 1554, 676, 1554, 1200, 2661, 950, 1352, 729, 513, 4819, 269, 9085, 30425, 281, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 519, 1404, 267, 519, 6648, 267, 543, 3109, 2021, 513, 986, 529, 514, 538, 519, 3141, 568, 513, 1404, 267, 1305, 538, 669, 8522, 1282, 519, 476, 4198, 271, 779, 2519, 593, 519, 1272, 543, 2591, 540, 513, 3109, 1920, 269, 5811, 540, 513, 986, 529, 514, 538, 519, 3141, 7005, 3332, 1557, 561, 528, 9627, 554, 753, 9440, 781, 1404, 15359, 1206, 2629, 2152, 602, 723, 5185, 19052, 22988, 281, 519, 26610, 4586, 288, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 568, 513, 1404, 827, 606, 19052, 7819, 1920, 20678, 547, 11886, 519, 7819, 5326, 538, 713, 3992, 267, 649, 4121, 827, 519, 1114, 3197, 543, 741, 1547, 634, 1404, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 676, 561, 528, 9627, 554, 753, 9440, 814, 1082, 4277, 3197, 538, 1250, 6644, 267, 519, 1034, 4241, 1915, 568, 678, 3578, 1317, 540, 1200, 1082, 4664, 543, 9159, 7209, 1352, 4422, 998, 3665, 4664, 538, 519, 1404, 971, 607, 8788, 267, 18354, 267, 10845, 267, 2566, 267, 543, 1547, 10261, 948, 593, 3197, 538, 561, 528, 9627, 554, 753, 9440, 781, 513, 986, 529, 514, 538, 519, 3141, 630, 1348, 2407, 1915, 2079, 264, 32406, 18588, 513, 986, 529, 514, 538, 519, 3141, 3197, 1396, 577, 11301, 26270, 322, 1547, 5192, 3388, 596, 991, 547, 917, 827, 561, 6511, 7820, 630, 332, 4821, 264, 538, 513, 986, 529, 514, 538, 519, 3141, 2079, 267, 1644, 10530, 267, 15415, 519, 1915, 540, 561, 6511, 7820, 630, 332, 4821, 264, 538, 513, 986, 529, 514, 538, 519, 3141, 689, 1396, 577, 11301, 1923, 519, 15888, 540, 8141, 17084, 269, 5381, 4978, 2291, 538, 519, 1404, 513, 986, 529, 514, 538, 519, 3141, 267, 676, 561, 528, 9627, 554, 753, 9440, 9267, 614, 682, 324, 267, 513, 1292, 1915, 538, 519, 1404, 267, 2829, 267, 968, 933, 835, 1895, 540, 2367, 13615, 547, 513, 5198, 540, 2021, 609, 1507, 8186, 892, 630, 327, 753, 9440, 476, 4200, 275, 1070, 10452, 513, 2631, 540, 5256, 7214, 27166, 563, 26046, 540, 2048, 320, 986, 529, 514, 538, 519, 3141, 8730, 676, 561, 528, 9627, 554, 753, 9440, 2278, 4282, 561, 528, 9627, 729, 4535, 538, 476, 4350, 271, 547, 1134, 13473, 11954, 3237, 945, 5030, 543, 5249, 538, 669, 8522, 269, 589, 1592, 540, 782, 519, 3197, 538, 513, 986, 529, 514, 538, 519, 3141, 519, 513, 986, 529, 514, 538, 519, 3141, 3197, 4988, 1331, 281, 9267, 614, 682, 324, 7820, 267, 9944, 320, 7820, 12462, 321, 3317, 773, 25257, 561, 6511, 7820, 12462, 332, 4821, 25257, 678, 3578, 7820, 267, 911, 6665, 7820, 267, 795, 24944, 607, 698, 2967, 267, 24636, 544, 3420, 2581, 267, 32275, 737, 22611, 561, 785, 1676, 267, 27342, 334, 267, 530, 11035, 554, 1551, 529, 267, 544, 3464, 795, 28427, 269, 589, 986, 529, 514, 538, 519, 3141, 281, 2178, 2021, 786, 5635, 2178, 4775, 3197, 689, 513, 986, 529, 514, 538, 519, 3141, 547, 616, 1614, 4775, 3197, 538, 561, 528, 9627, 554, 753, 9440, 779, 1404, 4586, 268, 538, 519, 1404, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 267, 835, 540, 519, 1292, 3197, 9944, 320, 7820, 13290, 547, 1265, 9887, 543, 4137, 856, 4010, 945, 1352, 568, 1352, 568, 513, 8938, 1032, 2025, 3109, 4807, 945, 1140, 1742, 2852, 538, 519, 5045, 2427, 540, 669, 8522, 269, 31240, 9627, 554, 753, 9440, 521, 1404, 513, 986, 529, 514, 538, 519, 3141, 729, 2484, 6619, 540, 922, 942, 538, 1312, 18995, 519, 4948, 1272, 540, 3109, 1004, 538, 513, 1259, 602, 544, 4821, 1915, 1547, 589, 986, 529, 514, 538, 519, 3141, 281, 1915, 2079, 1299, 7592, 544, 4821, 538, 513, 986, 529, 514, 538, 519, 3141, 281, 1915, 1299, 10530, 538, 513, 986, 529, 514, 538, 519, 3141, 267, 561, 528, 9627, 554, 753, 9440, 3091, 513, 10853, 543, 3532, 1650, 540, 513, 4586, 10403, 1557, 281, 538, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 543, 968, 335, 1156, 1580, 531, 4807, 892, 676, 949, 320, 21425, 537, 267, 1312, 554, 753, 9440, 543, 21425, 537, 946, 4008, 547, 1397, 1079, 1114, 269, 589, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 281, 2079, 540, 9944, 320, 7820, 513, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 281, 2079, 540, 9944, 320, 7820, 849, 1634, 607, 968, 332, 4821, 2223, 4564, 1547, 769, 561, 528, 9627, 554, 753, 9440, 779, 968, 320, 986, 529, 514, 538, 519, 3141, 892, 513, 3586, 6249, 540, 15691, 585, 1732, 543, 513, 1007, 1272, 6854, 4947, 883, 1404, 2429, 519, 1404, 267, 621, 568, 3833, 6654, 602, 1034, 3197, 1131, 899, 547, 723, 513, 2370, 811, 538, 1272, 267, 855, 1775, 1589, 713, 6249, 568, 1655, 3254, 998, 9267, 614, 269, 589, 986, 529, 514, 538, 519, 3141, 676, 561, 528, 9627, 554, 753, 9440, 267, 3217, 922, 2140, 689, 519, 4583, 31423, 8725, 29751, 1127, 6648, 968, 320, 5326, 1219, 518, 1042, 5608, 4171, 6249, 568, 16079, 539, 2429, 519, 1404, 538, 513, 1507, 19887, 538, 669, 8522, 538, 519, 476, 4198, 271, 338, 267, 519, 2818, 540, 519, 7820, 1920, 267, 606, 19052, 7819, 1920, 267, 1142, 723, 2462, 9909, 540, 1018, 1547, 0, 13142, 3030, 540, 7510, 326, 7356, 542, 1557, 454, 2108, 6853, 326, 7356, 542, 729, 2854, 547, 4161, 519, 1362, 1062, 267, 2757, 11475, 543, 519, 5304, 779, 269, 26346, 2079, 540, 538, 24636, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 1451, 782, 827, 875, 519, 538, 7510, 326, 7356, 542, 971, 607, 2031, 326, 1231, 543, 1714, 21289, 3565, 547, 519, 1650, 543, 875, 789, 3514, 883, 269, 589, 1915, 1557, 593, 1714, 21289, 281, 7510, 326, 7356, 542, 519, 1650, 540, 7510, 326, 7356, 542, 568, 1759, 593, 513, 8106, 7242, 267, 543, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 4249, 593, 519, 7294, 1894, 327, 269, 589, 1915, 1557, 593, 1714, 21289, 281, 7510, 326, 7356, 542, 519, 1650, 540, 7510, 326, 7356, 542, 568, 1759, 593, 513, 8106, 7242, 267, 543, 536, 1716, 731, 695, 1177, 781, 7510, 326, 7356, 542, 4249, 593, 269, 589, 2143, 6609, 540, 7510, 326, 7356, 542, 3197, 543, 741, 2956, 851, 540, 513, 1863, 1353, 3391, 689, 1433, 4048, 338, 1260, 563, 13695, 326, 7356, 542, 5288, 7168, 4807, 1557, 1032, 476, 1556, 16861, 1915, 1646, 543, 14759, 538, 7510, 326, 7356, 542, 607, 1134, 607, 7168, 4807, 269, 3367, 713, 7005, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 1714, 21289, 798, 7035, 1479, 281, 7510, 326, 7356, 542, 519, 1404, 7510, 326, 7356, 542, 676, 536, 1716, 731, 695, 1177, 814, 1082, 1114, 3197, 602, 269, 12877, 326, 7356, 542, 676, 24636, 536, 1716, 731, 695, 1177, 7005, 3332, 1557, 7510, 326, 7356, 542, 729, 513, 1915, 538, 519, 952, 596, 616, 519, 3312, 5856, 540, 713, 1557, 543, 1100, 3476, 563, 6440, 2070, 543, 4647, 7510, 326, 7356, 542, 3594, 1806, 849, 3605, 3584, 267, 10643, 267, 14592, 267, 5098, 6898, 267, 543, 8753, 585, 707, 7510, 326, 7356, 542, 1557, 269, 5131, 1557, 281, 6306, 689, 1373, 513, 7548, 540, 13093, 7497, 267, 646, 814, 513, 2620, 27527, 585, 3332, 543, 10178, 2886, 5128, 607, 513, 10564, 538, 782, 3978, 1145, 646, 14659, 269, 3367, 7510, 326, 7356, 542, 1863, 1557, 543, 936, 476, 6434, 267, 1822, 824, 1382, 6054, 7510, 326, 7356, 542, 2101, 3197, 29165, 2031, 326, 1231, 281, 4274, 13093, 2045, 1014, 543, 24401, 6150, 26137, 29134, 569, 563, 13695, 326, 7356, 542, 1557, 2688, 2875, 32275, 7510, 326, 7356, 542, 568, 513, 476, 4489, 273, 1404, 676, 24636, 536, 1716, 731, 695, 1177, 267, 3957, 1310, 513, 19967, 29631, 1915, 269, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 513, 1257, 949, 3895, 6654, 11984, 1063, 519, 2278, 658, 5639, 543, 1915, 781, 21169, 713, 666, 581, 2938, 538, 519, 1404, 540, 269, 12877, 326, 7356, 542, 1714, 21289, 798, 7035, 1479, 3349, 540, 9115, 1915, 2079, 1714, 21289, 798, 7035, 1479, 1433, 5658, 1557, 2055, 563, 288, 1592, 540, 4277, 2852, 1557, 3584, 593, 7510, 326, 7356, 542, 7510, 326, 7356, 542, 568, 835, 540, 519, 5929, 1568, 540, 5708, 602, 1018, 568, 519, 1909, 543, 4644, 540, 713, 1915, 269, 24951, 3197, 538, 2101, 3046, 321, 4673, 543, 7510, 326, 7356, 542, 910, 9236, 3197, 538, 2101, 3046, 321, 4673, 543, 7510, 326, 7356, 542, 713, 1557, 568, 1759, 593, 563, 32487, 593, 7510, 326, 7356, 542, 649, 2687, 547, 519, 19967, 7242, 543, 9065, 573, 779, 6648, 538, 23009, 4680, 267, 7510, 326, 7356, 542, 729, 513, 812, 945, 1018, 2306, 891, 3197, 269, 634, 6249, 540, 7510, 326, 7356, 542, 281, 6338, 267, 1865, 543, 5659, 3594, 7510, 326, 7356, 542, 568, 513, 1134, 1634, 1404, 602, 30237, 3278, 25654, 543, 1362, 538, 4619, 20187, 24469, 519, 1292, 269, 12877, 326, 7356, 542, 1353, 3391, 3568, 513, 12092, 540, 24636, 536, 1716, 731, 695, 1177, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 5758, 543, 2079, 7510, 326, 7356, 542, 1353, 3391, 3568, 513, 12092, 540, 24636, 536, 1716, 731, 695, 1177, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 269, 0, 6826, 19354, 15225, 711, 1152, 10100, 267, 855, 9058, 14017, 950, 646, 31439, 547, 1491, 519, 17599, 689, 1010, 23013, 1586, 267, 646, 568, 606, 1383, 540, 519, 1259, 1920, 269, 769, 1312, 30556, 540, 519, 6648, 267, 972, 616, 9087, 2812, 547, 2322, 581, 19354, 781, 10100, 883, 4334, 538, 3954, 5658, 267, 972, 568, 796, 2536, 628, 267, 945, 267, 607, 581, 19354, 2798, 856, 267, 19330, 519, 2295, 2877, 1547, 29028, 267, 513, 982, 324, 540, 1728, 326, 601, 659, 267, 4622, 540, 519, 2520, 1846, 267, 4862, 540, 6067, 526, 601, 781, 23339, 543, 2760, 1354, 723, 1775, 2938, 971, 513, 6512, 540, 21046, 538, 971, 513, 29752, 7099, 563, 8201, 476, 272, 1869, 3239, 689, 581, 19354, 543, 6067, 526, 601, 7260, 3483, 4927, 581, 519, 535, 597, 1067, 267, 2295, 519, 1183, 10273, 267, 10100, 4927, 581, 519, 811, 267, 607, 938, 1522, 1447, 839, 1934, 6013, 269, 769, 519, 12473, 6648, 1412, 2041, 19354, 3299, 10100, 568, 519, 2582, 1034, 1271, 8984, 540, 513, 24116, 649, 786, 2263, 1946, 713, 568, 3020, 538, 519, 2796, 540, 269, 29028, 781, 1101, 9028, 540, 10100, 568, 950, 646, 9396, 1846, 6067, 526, 601, 6067, 526, 601, 568, 513, 20599, 602, 814, 1044, 20739, 1136, 688, 22106, 593, 646, 528, 582, 585 ]

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

[ 568, 711, 1007, 547, 2257, 282, 3173, 723, 1634, 827, 519, 7613, 585, 5756, 269, 1809, 1906, 723, 11432, 1229, 922, 3483, 267, 1767, 2160, 540, 13325, 3662, 7350, 7548, 8230, 14529, 15607, 267, 945, 5342, 519, 1353, 609, 2022, 4777, 28118, 11001, 12253, 7647, 525, 563, 2108, 7197, 10786, 17675, 2371, 1107, 476, 3445, 2600, 1107, 26134, 741, 25450, 2223, 14529, 15607, 1767, 269, 968, 2171, 4941, 547, 917, 1018, 713, 1184, 729, 585, 3034, 1103, 513, 476, 1001, 272, 1353, 267, 14529, 15607, 543, 7647, 525, 7152, 602, 2371, 602, 4497, 538, 19856, 656, 11646, 5918, 6473, 849, 6450, 895, 811, 25525, 3585, 1310, 1373, 8697, 269, 634, 3173, 16143, 602, 11646, 5918, 6473, 729, 4758, 519, 2371, 519, 5818, 789, 2877, 547, 7753, 14488, 563, 6546, 1353, 543, 519, 1007, 835, 5059, 593, 6259, 573, 18462, 555, 6501, 320, 267, 513, 2030, 538, 519, 28401, 1920, 602, 1419, 568, 1031, 607, 513, 8047, 1641, 269, 2368, 6259, 573, 18462, 2371, 4497, 538, 11646, 5918, 6473, 543, 1866, 1810, 1406, 269, 8409, 602, 798, 666, 18645, 19421, 540, 12215, 540, 782, 540, 741, 15954, 538, 1367, 2281, 563, 1103, 519, 1007, 1353, 267, 7647, 525, 18084, 6259, 573, 18462, 2371, 602, 1185, 519, 2702, 547, 26134, 741, 25450, 609, 1346, 602, 26218, 713, 2702, 269, 1403, 519, 2078, 1063, 5027, 5918, 6473, 543, 20344, 729, 6071, 4755, 560, 766, 267, 519, 7681, 1063, 519, 1079, 1058, 14897, 538, 741, 15556, 267, 7647, 525, 1767, 563, 2108, 3719, 519, 7681, 30174, 538, 519, 15556, 2223, 646, 1767, 269, 968, 6546, 779, 519, 1101, 1899, 540, 2963, 602, 891, 1079, 7592, 3100, 547, 581, 12018, 1142, 824, 3034, 2414, 2417, 1449, 519, 8367, 267, 7647, 525, 4603, 958, 8476, 606, 6259, 573, 18462, 2030, 779, 2702, 547, 26134, 922, 11646, 269, 1261, 8359, 513, 1899, 602, 26218, 602, 2702, 543, 602, 849, 4810, 513, 2101, 5786, 538, 12680, 1310, 1373, 1178, 7458, 563, 2026, 4397, 267, 519, 12012, 2030, 6591, 519, 2702, 547, 25525, 3585, 6450, 895, 1310, 1373, 8697, 267, 519, 3173, 4080, 563, 14071, 941, 2111, 547, 4625, 11574, 519, 6382, 17672, 2360, 540, 3441, 2223, 7647, 525, 1767, 269, 968, 2467, 729, 1100, 3017, 538, 12680, 1063, 8697, 543, 3768, 600, 3042, 2371, 3034, 7049, 727, 5918, 6473, 14219, 1173, 525, 2281, 543, 2488, 811, 12215, 540, 1367, 6090, 267, 2693, 2810, 519, 2504, 540, 1883, 5946, 543, 824, 6675, 602, 5397, 1591, 2208, 267, 7647, 525, 1767, 269, 8892, 2090, 786, 1449, 891, 2093, 267, 646, 1767, 563, 763, 2817, 3163, 7690, 543, 772, 269, 540, 594, 269, 3194, 8274, 14102, 713, 1382, 563, 291, 10005, 962, 919, 1923, 31823, 2336, 6124, 4681, 948, 547, 1732, 5173, 519, 12084, 685, 9295, 547, 2916, 7939, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 10496, 10849, 2160, 6601, 5443, 575, 294, 3387, 295, 454, 1692, 13479, 543, 3327, 11103, 1223, 30396, 2569, 519, 6622, 4380, 8879, 3327, 8166, 5834, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 3353, 27528, 10713, 28059, 28228, 333, 7770, 454, 27807, 577, 2354, 723, 1044, 2919, 693, 570, 308, 654, 1329, 630, 309, 19652, 1070, 593, 799, 5160, 666, 581, 3812, 543, 8947, 269, 901, 2636, 23478, 519, 5160, 609, 1114, 6878, 538, 513, 1360, 6417, 1259, 563, 290, 738, 22899, 1480, 2281, 538, 519, 8891, 686, 8670, 568, 711, 513, 2462, 4161, 2221, 269, 21277, 1424, 5841, 5160, 267, 2705, 267, 15449, 730, 676, 5386, 1973, 8043, 267, 568, 513, 1454, 811, 2483, 293, 2120, 543, 5150, 1239, 2792, 281, 901, 568, 519, 3804, 540, 513, 1007, 4745, 1788, 5473, 21575, 689, 519, 2160, 540, 654, 14660, 345, 7921, 269, 634, 4436, 8549, 12080, 540, 4065, 543, 3194, 7482, 519, 1788, 609, 476, 1691, 269, 279, 2929, 20789, 563, 1103, 938, 3059, 1158, 1239, 3354, 543, 5150, 2792, 616, 4742, 811, 543, 811, 1271, 269, 17747, 2792, 568, 513, 9621, 1935, 547, 3035, 2483, 4002, 14349, 267, 476, 1015, 5437, 476, 1001, 279, 267, 519, 1382, 4672, 3691, 6033, 21069, 560, 1716, 786, 4734, 922, 1753, 1636, 540, 6601, 1067, 6409, 523, 267, 3808, 585, 15729, 16011, 267, 3162, 4000, 563, 2691, 7446, 2326, 547, 1118, 1945, 267, 4123, 32187, 991, 547, 581, 1500, 1063, 513, 3984, 540, 3601, 267, 971, 607, 11098, 267, 20765, 543, 2597, 269, 13689, 593, 519, 3498, 538, 2243, 267, 4466, 1175, 519, 1318, 3666, 568, 519, 3017, 1063, 1967, 543, 5821, 454, 3086, 267, 513, 2319, 540, 24282, 19296, 814, 7152, 513, 1007, 1570, 789, 1289, 834, 22974, 18201, 4580, 2437, 606, 24318, 987, 514, 6697, 540, 1351, 2607, 730, 1957, 21312, 269, 589, 4009, 2483, 24357, 27913, 693, 661, 8025, 2098, 584, 747, 6542, 875, 6959, 602, 2049, 1282, 519, 12879, 540, 7061, 1062, 666, 581, 16913, 543, 22621, 593, 519, 8038, 454, 763, 2361, 540, 7061, 19106, 814, 2938, 16854, 3356, 538, 2487, 1296, 269, 9779, 676, 3787, 267, 7061, 3457, 1376, 547, 4161, 6671, 5904, 267, 693, 2547, 2483, 6021, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 6187, 269, 1556, 269, 1001, 279, 1923, 7926, 5240, 454, 2537, 269, 1015, 269, 1001, 279, 1923, 7926, 5240, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 10049, 7070, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 2657, 543, 6925, 454, 1691, 269, 1556, 269, 1001, 279, 1923, 5020, 7070, 0, 14722, 693, 12590, 4659, 540, 5303, 630, 300, 3951, 264, 2475, 723, 2919, 513, 4715, 14029, 8084, 4480, 602, 1131, 948, 519, 476, 1708, 271, 9370, 681, 1478, 547, 1875, 2987, 11663, 1947, 2697, 21439, 602, 616, 5266, 796, 5306, 1229, 267, 543, 2226, 1454, 540, 741, 3312, 5888, 563, 22746, 29814, 5439, 786, 1450, 3744, 547, 2697, 519, 4191, 540, 5449, 1272, 267, 952, 789, 11478, 267, 593, 519, 2699, 4541, 563, 763, 1007, 4480, 568, 1759, 593, 606, 4824, 1259, 540, 16208, 519, 2164, 540, 10548, 534, 21655, 267, 513, 1455, 267, 1875, 1673, 652, 10614, 1184, 1031, 676, 2520, 5505, 547, 2697, 519, 3114, 5888, 540, 3504, 7725, 563, 1892, 898, 568, 513, 1455, 267, 1875, 1673, 652, 10614, 1184, 602, 2520, 5505, 946, 547, 2697, 519, 3114, 5888, 540, 3504, 7725, 563, 1892, 898, 568, 1031, 547, 2697, 2436, 513, 3732, 2270, 3327, 17675, 2339, 563, 1892, 634, 4527, 540, 3327, 17675, 2339, 5267, 602, 519, 3732, 949, 849, 723, 3771, 26092, 1129, 540, 1272, 563, 1892, 2060, 519, 1007, 2087, 21655, 2553, 282, 3173, 666, 1631, 849, 7447, 519, 5223, 540, 7250, 547, 3327, 8444, 538, 513, 3732, 563, 1892, 25756, 666, 581, 1031, 607, 4493, 547, 3313, 952, 513, 1978, 3732, 568, 29814, 610, 711, 563, 1892, 1403, 519, 3732, 814, 1970, 7250, 267, 621, 568, 2009, 602, 621, 814, 1995, 811, 8022, 267, 19249, 922, 5214, 2339, 543, 9561, 7250, 538, 513, 1106, 540, 15655, 563, 24916, 267, 519, 476, 1708, 271, 9370, 681, 1478, 1131, 581, 9280, 609, 1896, 3621, 2645, 1519, 2480, 8911, 13206, 3386, 2037, 4921, 609, 10548, 534, 543, 700, 29061, 12412, 585, 5029, 923, 543, 11906, 338, 630, 17239, 2207, 299, 8016, 1040, 15562, 2207, 299, 8016, 568, 606, 6293, 602, 786, 10536, 10548, 534, 26034, 689, 5439, 593, 610, 1175, 2630, 519, 6742, 1014, 2627, 269, 15562, 2207, 299, 8016, 786, 581, 11358, 538, 8159, 2436, 1272, 2479, 11478, 593, 9370, 563, 14946, 618, 540, 519, 4480, 693, 20037, 729, 4080, 538, 519, 4760, 12539, 563, 1708, 271, 9370, 681, 1478, 454, 22498, 814, 4566, 547, 10131, 513, 1007, 9370, 30024, 602, 786, 581, 25461, 547, 16785, 519, 3148, 593, 519, 4541, 5156, 547, 3180, 24790, 540, 3504, 15451, 1272, 269, 634, 30024, 786, 2445, 5439, 540, 7725, 543, 3037, 267, 543, 4558, 873, 593, 519, 6742, 1014, 2627, 563, 763, 6394, 5439, 1131, 581, 8120, 547, 3047, 28069, 538, 519, 11397, 2104, 865, 602, 3744, 666, 23939, 5659, 519, 5439, 585, 4191, 540, 1459, 610, 5449, 31373, 14111, 1272, 563, 3086, 1205, 5767, 7351, 16457, 593, 5985, 267, 8281, 1948, 476, 272, 7351, 16457, 2561, 454, 291, 3041, 290, 6369, 8379, 2207, 281, 808, 12195, 543, 922, 28930, 919, 4927, 723, 1100, 15668, 585, 1022, 5784, 267, 4555, 543, 8292, 6829, 593, 713, 2376, 269, 0, 296, 576, 1633, 26439, 545, 13192, 3143, 21784, 585, 31697, 454, 763, 15027, 5533, 602, 3262, 782, 936, 2342, 1310, 519, 20349, 540, 513, 18962, 538, 19360, 786, 711, 3914, 31697, 267, 1767, 31697, 781, 12080, 540, 13255, 563, 20288, 4751, 338, 1397, 602, 519, 11849, 12269, 786, 711, 979, 607, 2484, 607, 31697, 269, 1358, 786, 3914, 27718, 13960, 267, 17158, 7187, 27597, 267, 1034, 540, 21640, 543, 15212, 267, 543, 3262, 782, 519, 1259, 547, 519, 13323, 540, 24131, 563, 4263, 519, 1439, 540, 4728, 267, 519, 29431, 329, 2378, 329, 718, 26953, 2131, 1638, 18962, 267, 799, 1185, 1044, 26862, 585, 476, 1220, 1296, 267, 30192, 538, 5045, 19360, 269, 4706, 1743, 14823, 607, 1127, 723, 7930, 6603, 1804, 2694, 540, 2342, 543, 723, 530, 3754, 688, 22106, 693, 3864, 29032, 267, 609, 930, 476, 1704, 476, 1822, 8184, 23545, 725, 513, 1554, 269, 3509, 19426, 547, 543, 689, 31697, 781, 3854, 1924, 325, 807, 941, 849, 666, 576, 1194, 593, 11016, 563, 295, 4348, 338, 540, 5215, 540, 15915, 723, 1044, 4299, 543, 4049, 21463, 1223, 8831, 547, 1082, 2395, 547, 2097, 267, 1519, 19426, 547, 3345, 3013, 543, 5607, 936, 519, 18962, 779, 6024, 552, 20287, 540, 11849, 543, 8673, 1247, 10196, 2161, 789, 798, 711, 2503, 519, 15027, 2534, 547, 1439, 538, 519, 1985, 1906, 2395, 563, 10932, 540, 15027, 607, 1127, 3323, 1394, 538, 476, 2735, 273, 543, 729, 15427, 676, 519, 1101, 2479, 20987, 8009, 3361, 676, 15027, 5533, 269, 2334, 1032, 645, 27739, 476, 278, 5325, 10760, 689, 918, 783, 320, 700, 2086, 584, 267, 17111, 267, 547, 3131, 628, 267, 5245, 267, 18084, 513, 15027, 6531, 267, 782, 2185, 540, 922, 9817, 11074, 2324, 543, 1310, 513, 7008, 540, 28336, 8942, 267, 519, 12681, 6368, 1500, 606, 6595, 13941, 538, 12868, 781, 3854, 32021, 21840, 563, 268, 9732, 2290, 540, 519, 8262, 7465, 7464, 24529, 7767, 832, 538, 31697, 590, 20635, 922, 7935, 12027, 720, 6355, 454, 268, 9732, 23554, 657, 3873, 25376, 4582, 731, 3816, 1622, 7324, 519, 4258, 777, 652, 19255, 4771, 6790, 1115, 538, 519, 26811, 753, 454, 268, 9732, 1215, 547, 24344, 2859, 11426, 619, 538, 476, 1001, 280, 454, 268, 9732, 19678, 2103, 14308, 607, 13937, 2598, 335, 1393, 27817, 590, 13990, 5131, 4506, 454, 268, 9732, 10738, 519, 26811, 534, 13937, 16735, 267, 31697, 786, 849, 12706, 513, 13937, 16510, 454, 268, 9732, 24542, 543, 1261, 908, 31245, 538, 31697, 3816, 664, 1133, 577, 6548, 19402, 519, 7736, 540, 1261, 908, 17897, 0, 307, 516, 341, 528, 18999, 5112, 6941, 519, 2257, 3297, 14335, 3636, 5346, 7014, 1808, 547, 10977, 267, 543, 875, 513, 5265, 2966, 3636, 909, 666, 711, 1152, 2061, 5945, 855, 849, 2087, 10977, 2773, 269, 27749, 454, 10000, 11845, 707, 3636, 909, 1935, 547, 2866, 543, 6735, 454, 310, 9879, 909, 609, 513, 6422, 267, 5059, 6296, 267, 4481, 3358, 547, 707, 6074, 7328, 454, 2005, 568, 513, 1455, 1480, 17528, 547, 1413, 1360, 2182, 1107, 6148, 1932, 2182, 1107, 693, 1945, 543, 1869, 3111, 547, 1294, 1018, 779, 31325, 596, 538, 519, 3068, 269, 901, 949, 2491, 1946, 19393, 543, 9845, 723, 4797, 547, 1832, 5132, 609, 519, 2025, 16654, 3636, 5346, 5103, 20387, 2963, 602, 621, 3085, 1406, 798, 1018, 621, 3081, 593, 519, 17646, 563, 2005, 779, 513, 2016, 602, 649, 991, 547, 3636, 909, 1354, 649, 838, 11781, 267, 5734, 513, 17281, 3440, 610, 3801, 513, 2973, 543, 795, 17064, 269, 634, 1184, 22316, 721, 15508, 543, 9308, 585, 519, 4305, 6619, 269, 27603, 267, 9845, 689, 1034, 5026, 723, 1044, 1031, 547, 9870, 741, 1560, 2837, 609, 476, 276, 268, 1428, 3764, 540, 9543, 9025, 630, 20302, 264, 960, 543, 1287, 15198, 1055, 269, 1306, 513, 1279, 7914, 19002, 267, 594, 666, 3314, 28185, 3101, 513, 7008, 540, 561, 2355, 547, 1205, 2731, 3636, 267, 1287, 9361, 543, 10004, 1154, 585, 519, 1985, 3368, 606, 5662, 1247, 27581, 15198, 269, 1635, 519, 942, 519, 8400, 3323, 267, 594, 8910, 1419, 581, 4411, 1312, 9308, 543, 15508, 269, 3733, 1560, 1131, 723, 23564, 1055, 543, 594, 1131, 581, 2484, 689, 5688, 958, 5423, 585, 519, 6422, 2534 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 291, 275, 4817, 282, 568, 519, 2698, 2179, 538, 519, 2272, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 2179, 538, 519, 2272, 585, 1299, 258, 343, 272, 291, 5392, 279, 282, 1373, 1447, 982, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 4374, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 5392, 279, 282, 1341, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 5392, 279, 282, 568, 519, 4830, 4756, 269, 1948, 540, 1284, 4060, 11192, 2549, 870, 538, 10055, 630, 514, 9489, 264, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1948, 540, 3687, 2373, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 275, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 9293, 29921, 829, 3687, 1393, 1948, 1993, 24552, 23777, 539, 11192, 8649, 870, 514, 28398, 263, 785, 3326, 1513, 264, 1948, 540, 4374, 14559, 538, 14205, 902, 10055, 454, 1892, 476, 278, 269, 7689, 476, 3953, 281, 11638, 28157, 10819, 538, 519, 7464, 2622, 11261, 281, 476, 276, 270, 1626, 270, 1691, 476, 30306, 1299, 258, 343, 288, 280, 282, 476, 1001, 274, 5871, 11759, 267, 5549, 269, 2368, 2924, 11603, 269, 1455, 14537, 3820, 901, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 274, 269, 271, 1133, 19959, 17821, 269, 12924, 306, 25265, 2177, 2910, 3918, 13878, 30388, 595, 7838, 30278, 8085, 9331, 476, 277, 261, 258, 343, 1708, 273, 282, 275, 8893, 476, 3953, 1948, 540, 4374, 11192, 8649, 870, 7268, 259, 264, 11192, 2549, 870, 590, 8491, 476, 273, 269, 24910, 568, 2921, 513, 3454, 328, 689, 519, 19633, 547, 1010, 1753, 269, 1703, 568, 513, 8096, 261, 258, 343, 272, 291, 278, 291, 275, 282, 6366, 13927, 585, 14964, 538, 519, 3454, 328, 269, 769, 1840, 267, 24910, 1590, 849, 2628, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 829, 13304, 269, 3503, 606, 3830, 1141, 1299, 258, 343, 272, 291, 4366, 292, 282, 568, 519, 1297, 540, 5195, 543, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 2698, 1942, 540, 519, 3454, 328, 11878, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 1942, 585, 1299, 258, 343, 272, 291, 4366, 292, 282, 1373, 1447, 982, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 5195, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 4366, 292, 282, 1341, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 4366, 292, 282, 568, 519, 4830, 4756, 269, 1948, 540, 30683, 11192, 8779, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 278, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 20003, 282, 476, 274, 269, 17555, 3323, 609, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 269, 2701, 10710, 606, 3606, 8096, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1142, 3018, 269, 3503, 606, 3830, 602, 666, 581, 1031, 547, 3313, 519, 2698, 2179, 10710, 267, 1299, 258, 343, 272, 291, 275, 4817, 282, 267, 1310, 513, 2016, 1297, 540, 4374, 267, 1299, 258, 343, 272, 291, 5392, 279, 282, 269, 14419, 799, 4756, 568, 4830, 543, 799, 568, 8200, 269, 3973, 3113, 519, 2698, 2179, 10710, 585, 1101, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 4374, 269, 1299, 258, 343, 272, 291, 275, 4817, 282, 815, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 5392, 279, 282, 1341, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 275, 4817, 282, 568, 519, 8200, 4756, 269, 1299, 258, 343, 272, 291, 5392, 279, 282, 568, 519, 4830, 4756, 269, 1948, 540, 1284, 4060, 11192, 2549, 870, 630, 15478, 264, 1299, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 276, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 261, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 291, 277, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 11192, 21798, 7268, 259, 264, 11192, 8779, 540, 513, 12525, 328, 681, 728, 7089, 540, 30683, 454, 1892, 476, 279, 269, 7689, 476, 3953, 281, 11638, 28157, 10819, 538, 519, 7464, 2622, 11261, 281, 476, 276, 270, 1626, 270, 1691, 476, 24833, 1299, 258, 343, 288, 280, 282, 476, 1001, 274, 5871, 11759, 267, 5549, 269, 2368, 2924, 11603, 269, 1455, 14537, 3820, 901, 960, 568, 13931, 896, 513, 11300, 12780, 21922, 9539, 517, 4467, 14293, 27691, 732, 2704, 833, 476, 274, 269, 271, 1133, 19959, 17821, 269, 12924, 306, 25265, 2177, 2910, 3918, 13878, 30388, 595, 7838, 30278, 8085, 9331, 476, 277, 261, 258, 343, 1708, 273, 282, 275, 8893, 476, 3953, 476, 275, 269, 1325, 12011, 1695, 568, 11449, 3132, 693, 519, 6705, 261, 258, 343, 1001, 280, 282, 2344, 269, 2701, 4566, 547, 4444, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 4502, 540, 12277, 543, 930, 13212, 269, 634, 13212, 1942, 8096, 261, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 829, 11013, 269, 3503, 606, 3830, 547, 1397, 519, 2698, 1942, 540, 519, 3132, 267, 1141, 1299, 258, 343, 272, 291, 5325, 289, 282, 568, 519, 2698, 1942, 543, 1299, 258, 343, 272, 291, 4366, 273, 282, 568, 519, 1297, 540, 6550, 540, 13212, 269, 14419, 799, 4756, 568, 8200, 543, 4830, 269, 3973, 3113, 519, 3830, 593, 519, 11282, 7077, 269, 1299, 258, 343, 272, 291, 5325, 289, 282, 815, 1299, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 261, 258, 343, 272, 291, 4366, 273, 282, 1341, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 634, 2698, 1942, 568, 519, 8200, 4756, 269, 634, 1297, 540, 6550, 540, 13212, 568, 519, 4830, 4756, 269, 1948, 540, 623, 2432, 540, 2561, 956, 11192, 8779, 630, 15478, 264, 476, 271, 476, 1015, 1299, 258, 343, 272, 291, 278, 20003, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 20003, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 271, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 291, 272, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 273, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1299, 258, 343, 272, 291, 278, 291, 273, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 275, 282, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 1299, 258, 343, 272, 291, 278, 20003, 282, 261, 258, 343, 272, 291, 278, 291, 276, 282, 269, 1299, 258, 343, 272, 291, 278, 291, 274, 282, 261, 258, 343, 272, 291, 278, 4753, 282, 1948, 540, 18470, 269, 540, 13212, 11192, 8779, 693, 519, 26478, 261, 258, 343, 1001, 280, 282, 10369, 11192, 21798, 7268, 259, 264, 0, 258, 16448, 531, 5506, 692, 1892, 4924, 476, 279, 628, 476, 1001, 271, 267, 476, 1321, 281, 2412, 7537, 454, 331, 739, 272, 454, 15368, 673, 344, 519, 1627, 568, 912, 1789, 260, 946, 5839, 267, 476, 2004, 260, 946, 8837, 267, 476, 736, 260, 946, 12380, 563, 9827, 476, 2568, 260, 540, 5672, 814, 3644, 267, 476, 3199, 260, 540, 8837, 814, 3644, 267, 476, 1015, 260, 12380, 814, 3644, 563, 288, 4351, 2780, 568, 6074, 543, 568, 1336, 547, 723, 3644, 269, 1548, 568, 519, 5506, 602, 713, 2780, 568, 513, 8837, 7193, 2496, 2414, 513, 2147, 2243, 1250, 20131, 973, 558, 2105, 5373, 909, 513, 3349, 865, 594 ]

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

[ 1804, 11544, 12826, 267, 9192, 24268, 7423, 267, 3043, 4006, 267, 543, 6960, 4006, 2394, 1134, 6404, 269, 4635, 606, 3167, 3575, 518, 610, 31953, 267, 10726, 519, 7848, 2394, 5347, 269, 634, 4999, 540, 24268, 7423, 543, 14836, 5932, 513, 1750, 14567, 9403, 676, 7303, 1932, 1454, 15347, 5250, 1282, 519, 11544, 1184, 780, 7659, 17785, 281, 5269, 2386, 707, 7423, 3884, 1405, 9470, 3429, 3905, 950, 9256, 609, 519, 14836, 282, 6382, 267, 621, 1522, 3434, 519, 5798, 16349, 569, 538, 519, 1985, 1900, 780, 3721, 476, 274, 281, 19468, 538, 28096, 543, 11709, 8759, 6987, 847, 454, 11754, 835, 4212, 693, 513, 942, 547, 519, 7423, 1606, 13610, 7848, 267, 25588, 8499, 1310, 1142, 1840, 269, 2991, 1312, 5798, 723, 1044, 11368, 267, 13489, 538, 519, 29877, 1349, 269, 2142, 908, 519, 5798, 14350, 2636, 873, 547, 900, 6160, 1518, 5265, 883, 519, 3170, 267, 4611, 538, 513, 23887, 23739, 14859, 780, 3721, 476, 275, 281, 19837, 9876, 645, 1136, 590, 18649, 538, 12182, 4826, 454, 1103, 513, 5094, 1507, 12826, 267, 23271, 11256, 14614, 538, 3905, 1216, 269, 3973, 1039, 713, 3070, 2059, 609, 6070, 547, 519, 6632, 5820, 538, 519, 1804, 11544, 12826, 269, 853, 597, 2394, 4628, 5916, 269, 17006, 11256, 14614, 543, 3905, 1216, 14384, 5849, 1697, 3892, 2429, 519, 14859, 267, 799, 8309, 547, 1256, 8375, 1282, 11256, 780, 3721, 476, 276, 281, 26431, 2349, 754, 4469, 712, 543, 674, 1245, 538, 932, 2354, 1299, 715, 7491, 454, 306, 869, 569, 11100, 538, 7912, 267, 827, 513, 3368, 7484, 693, 513, 942, 267, 1210, 513, 12285, 22883, 3121, 269, 4495, 782, 519, 7912, 814, 1044, 3773, 267, 9900, 16784, 538, 519, 10217, 13365, 543, 10808, 952, 1210, 269, 3683, 332, 30480, 666, 1291, 547, 9157, 12897, 267, 865, 581, 6297, 711, 547, 936, 4777, 621, 269, 674, 13783, 3079, 540, 28817, 28933, 2011, 22836, 1369, 519, 14859, 267, 3056, 547, 14402, 267, 13035, 12897, 780, 7659, 10842, 5202, 281, 1280, 1655, 2164, 267, 12104, 4733, 519, 14859, 585, 693, 2547, 606, 5662, 1354, 5935, 543, 11256, 269, 901, 1964, 1974, 2636, 519, 7912, 547, 3289, 3433, 4625, 267, 7393, 8137, 1646, 543, 2949, 2497, 780, 3721, 476, 277, 281, 23426, 13648, 773, 667, 965, 454, 291, 1886, 17031, 29537, 995, 338, 540, 669, 2683, 14859, 5196, 5423, 11256, 9212, 267, 19437, 873, 827, 1079, 6279, 6306, 269, 1411, 949, 849, 946, 513, 23739, 1085, 17274, 585, 811, 7833, 7306, 269, 4964, 1524, 5594, 593, 1142, 544, 895, 547, 24609, 5594, 780, 3721, 476, 278, 281, 645, 820, 13648, 625, 454, 289, 820, 585, 476, 279, 268, 1015, 3764, 538, 840, 515, 730, 14089, 610, 2394, 8728, 616, 21066, 11344, 269, 5457, 602, 12897, 3136, 547, 27106, 13713, 1310, 8851, 689, 519, 14089, 1813, 547, 4163, 1478, 5986, 269, 7201, 321, 8898, 12897, 1267, 538, 513, 2571, 267, 1750, 14567, 4099, 267, 1247, 936, 321, 8898, 3283, 1831, 2182, 543, 29511, 344, 269, 4475, 267, 20093, 593, 519, 2427, 540, 896, 321, 1136, 585, 6099, 9403, 780, 3721, 476, 279, 281, 14190, 13648, 625, 547, 15346, 454, 4131, 3579, 593, 11256, 9212, 585, 2947, 3764, 1354, 22151, 547, 513, 5911, 9023, 24646, 269, 14190, 532, 12897, 547, 1305, 909, 7620, 593, 519, 3636, 11256, 6656, 2306, 873, 4443, 547, 6023, 1510, 8840, 6306, 269, 13159, 9023, 593, 513, 5911, 24646, 11151, 521, 17344, 1465, 3361, 676, 16290, 3002, 18284, 780, 3721, 476, 280, 281, 15188, 13648, 625, 7743, 569, 454, 1805, 648, 22799, 12897, 538, 606, 2011, 31259, 8708, 547, 2226, 4195, 1145, 269, 1403, 13936, 585, 6905, 5712, 267, 2015, 4946, 513, 20105, 540, 3694, 547, 10110, 4430, 7509, 269, 17968, 267, 19068, 30898, 8898, 11084, 540, 14859, 585, 2663, 946, 269, 15439, 555, 1177, 543, 27106, 607, 9859, 8164, 596, 7287, 28448, 19323, 12897, 780, 3528, 5402, 1739, 891, 3268, 543, 1620, 519, 7744, 3297, 1142, 2962, 267, 596, 3513, 4487, 519, 1148, 540, 11256, 632, 937, 762, 10217, 13863, 12897, 269, 8414, 11256, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 820, 930, 10217, 13863, 12897, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 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, 4495, 2390, 513, 942, 267, 538, 513, 1507, 8498, 1572, 13983, 839, 10921, 267, 5030, 1079, 1655, 2828, 3957, 6341, 543, 23183, 269, 1358, 6068, 3695, 519, 18137, 2282, 741, 5321, 543, 1565, 782, 827, 2470, 543, 875, 1919, 960, 269, 2290, 1554, 267, 789, 16686, 2390, 513, 9490, 2025, 812, 9361, 1985, 547, 513, 11164, 17331, 2156, 758, 269, 1261, 5189, 5128, 607, 6004, 269, 5700, 32717, 22433, 543, 5143, 873, 646, 729, 2324, 593, 1945, 9058, 780, 10501, 1190, 267, 6341, 543, 23183, 4280, 1864, 1018, 621, 729, 269, 2060, 513, 1000, 30257, 538, 1010, 3750, 267, 6004, 269, 5700, 32717, 22433, 7000, 606, 6946, 2203, 540, 513, 3684, 267, 7429, 4376, 519, 1453, 1185, 2479, 2938, 1354, 269, 834, 1607, 2437, 1767, 6004, 269, 5700, 32717, 22433, 267, 834, 529, 519, 2104, 256, 901, 568, 513, 18343, 795, 10154, 267, 513, 3684, 11827, 1282, 519, 11633, 7169, 602, 786, 22499, 519, 1259, 649, 1118, 9660, 3010, 2026, 789, 19557, 547, 6004, 269, 5700, 32717, 22433, 2911, 811, 827, 519, 13300, 540, 519, 11633, 7169, 267, 899, 15327, 6721, 5370, 5488, 982, 2479, 1354, 267, 14884, 8220, 4872, 267, 543, 1007, 2326, 1373, 1500, 267, 519, 3214, 7948, 1405, 2270, 741, 10761, 269, 1717, 267, 1310, 930, 2219, 267, 23183, 6743, 14126, 569, 693, 1200, 3659, 269, 834, 3719, 6341, 267, 3884, 1405, 621, 3983, 952, 3025, 6238, 3001, 2476, 689, 8105, 543, 13167, 267, 543, 3079, 1568, 1152, 538, 891, 2462, 15327, 8119, 1352, 9289, 16965, 780, 16031, 269, 5700, 32717, 22433, 20493, 27145, 267, 1620, 1200, 6161, 269, 834, 2791, 2811, 1318, 267, 1250, 15210, 269, 2755, 519, 11633, 7169, 814, 4547, 1082, 2318, 2242, 267, 621, 1705, 2097, 609, 4539, 1932, 269, 3509, 1004, 2451, 741, 11396, 543, 2757, 6009, 547, 1265, 1732, 13848, 538, 519, 2749, 15327, 267, 799, 3006, 22314, 2950, 269, 1809, 3314, 267, 3356, 2141, 2501, 609, 2591, 267, 543, 6061, 1346, 2042, 666, 1291, 721, 547, 1256, 3152, 18563, 15323, 9617, 1287, 267, 519, 2666, 9944, 873, 3323, 24373, 3423, 1836, 269, 589, 10978, 6846, 3357, 689, 19654, 1141, 1216, 2095, 539, 856, 540, 519, 4104, 269, 1677, 741, 16897, 267, 789, 7691, 602, 513, 2481, 3710, 7404, 1185, 16802, 1930, 1813, 547, 5230, 11811, 269, 5517, 1559, 909, 18182, 5950, 14107, 883, 519, 5757, 267, 7432, 519, 2899, 6986, 6908, 6757, 269, 16645, 6162, 32357, 2509, 873, 267, 17512, 1881, 602, 741, 11537, 1753, 1131, 4166, 1831, 796, 514, 4725, 3386, 1317, 540, 4028, 4853, 7269, 780, 306, 19488, 267, 519, 7772, 543, 4898, 618, 5828, 1474, 828, 269, 4634, 1498, 519, 11633, 7169, 1185, 9927, 519, 3703, 4346, 267, 2870, 5763, 543, 3255, 267, 621, 2968, 10423, 602, 711, 6236, 2825, 5222, 1223, 1267, 538, 14042, 2360, 269, 1656, 865, 267, 938, 9661, 7475, 30122, 1107, 3450, 1762, 8186, 519, 2956, 540, 13326, 5647, 609, 6940, 267, 4180, 10103, 1063, 3621, 7760, 543, 12624, 7186, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 18658, 729, 519, 1764, 540, 519, 11633, 7169, 593, 519, 3703, 4346, 888, 763, 11633, 7169, 1185, 513, 13710, 1764, 593, 519, 3703, 4346, 269, 898, 3366, 547, 513, 7372, 2333, 538, 7607, 267, 607, 6191, 543, 3157, 7494, 4824, 7607, 538, 519, 5663, 6080, 269, 898, 849, 4718, 519, 5137, 540, 1007, 6080, 971, 607, 20955, 267, 4401, 543, 5374, 5663, 267, 543, 12227, 2504, 269, 634, 8244, 540, 1007, 543, 10464, 5370, 2813, 1007, 6990, 543, 2799, 3747, 689, 1004, 945, 941, 5892, 8572, 547, 6488, 873, 269, 8528, 763, 11633, 7169, 3366, 547, 513, 10565, 2333, 538, 4123, 267, 1312, 29143, 1227, 543, 18368, 267, 543, 621, 23185, 519, 2208, 540, 519, 3703, 7276, 269, 25790, 538, 6283, 543, 2792, 267, 971, 607, 519, 5137, 540, 7841, 1811, 543, 519, 751, 25393, 267, 2417, 5818, 539, 519, 4346, 676, 1818, 621, 4443, 547, 1847, 1004, 543, 5370, 1472, 519, 2197, 543, 519, 1158, 269, 8528, 4913, 267, 519, 11633, 7169, 849, 1185, 922, 19363, 269, 634, 2208, 540, 22713, 3366, 547, 936, 10640, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3460, 998, 519, 4241, 1158, 540, 6138, 256, 4653, 649, 786, 2263, 513, 3350, 1572, 1715, 7698, 1143, 607, 851, 540, 1945, 1572, 1546, 18586, 269, 5213, 1405, 5855, 952, 891, 1913, 3280, 7294, 910, 649, 2811, 1934, 547, 2736, 873, 1524, 1927, 2439, 5331, 596, 616, 4730, 609, 707, 5172, 2679, 7161, 269, 1411, 10518, 873, 909, 267, 22545, 873, 1524, 267, 543, 1628, 1586, 269, 3962, 3625, 568, 1271, 1317, 621, 8309, 547, 519, 2898, 2497, 269, 3767, 267, 1577, 781, 1589, 827, 713, 538, 2474, 540, 938, 10450, 267, 899, 5656, 267, 6517, 267, 9660, 267, 543, 1256, 1426, 1107, 789, 2811, 782, 1500, 909, 540, 1114, 2326, 602, 2097, 1927, 547, 1711, 1945, 3730, 543, 6209, 269, 901, 2856, 13462, 547, 1018, 15806, 1289, 1412, 332, 1468, 1143, 9538, 1358, 3494, 602, 2168, 2339, 630, 3697, 1346, 2679, 7161, 264, 5546, 938, 2833, 543, 1620, 540, 519, 1158, 780, 3086, 267, 1412, 2908, 1570, 1143, 262, 3217, 1919, 513, 1900, 2417, 269, 5994, 952, 707, 2679, 7161, 1223, 2911, 1394, 547, 596, 267, 4687, 741, 1378, 2984, 543, 12018, 875, 596, 1404, 609, 873, 269, 16319, 1187, 267, 1318, 286, 4270, 267, 1007, 1570, 1235, 3494, 602, 2326, 2933, 666, 723, 8116, 267, 799, 1797, 789, 666, 1860, 1142, 824, 543, 3310, 2621, 269, 1280, 1383, 267, 950, 596, 11878, 513, 11332, 267, 1312, 596, 543, 519, 11332, 960, 1927, 282, 922, 3337, 267, 2597, 267, 543, 1374, 1764, 875, 12347, 596, 29465, 543, 27464, 269, 1924, 267, 2687, 547, 1007, 1570, 1235, 267, 1004, 543, 3615, 5749, 1405, 7357, 5094, 855, 2864, 2170, 543, 30598, 780, 3719, 7227, 267, 972, 781, 811, 256, 1284, 5018, 632, 18586, 4505, 269, 6056, 540, 7938, 571, 6137, 513, 10516, 4494, 676, 4494, 2394, 596, 1174, 1169, 4062, 3330, 269, 2334, 1184, 540, 13031, 6456, 10848, 568, 2147, 547, 632, 18586, 269, 11096, 14279, 946, 621, 547, 4161, 2757, 2081, 540, 3206, 267, 2523, 950, 3168, 693, 2462, 2035, 899, 1379, 267, 3961, 267, 543, 2528, 269, 1635, 6313, 4130, 2694, 1369, 891, 1949, 267, 789, 7866, 4296, 1063, 3425, 543, 1875, 25993, 9988, 899, 2029, 543, 2470, 780, 4131, 781, 3142, 713, 6251, 547, 1753, 269, 5620, 596, 2479, 2219, 827, 875, 707, 16335, 5540, 707, 17052, 267, 1565, 267, 610, 3232, 13467, 286, 2107, 2808, 875, 2371, 948, 2973, 519, 2011, 1472, 721, 286, 1452, 2055, 13686, 519, 3741, 540, 1007, 1570, 1143, 543, 632, 18586, 269, 1879, 649, 1413, 4514, 883, 3347, 1851, 1585, 2609, 267, 1519, 6000, 267, 3059, 3457, 267, 543, 2067, 2200, 267, 649, 2744, 4195, 5380, 593, 1272, 543, 2486, 780, 3383, 1985, 942, 596, 4497, 609, 4948, 3688, 610, 7747, 519, 1604, 267, 3314, 547, 5660, 519, 6946, 7544, 1063, 1480, 7919, 543, 2326, 269, 5808, 6487, 286, 9320, 707, 15513, 2013, 814, 930, 11580, 7996, 547, 581, 4362, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 13970, 476, 4200, 476, 274, 11586, 454, 12626, 9664, 476, 26727, 476, 5729, 476, 1220, 273, 454, 288, 5576, 2794, 614, 1014, 2079, 540, 519, 1686, 540, 519, 681, 1446 ]

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

[ 568, 547, 2161, 454, 13295, 267, 585, 3236, 267, 952, 2073, 519, 4114, 574, 656, 1131, 581, 3144, 547, 581, 454, 514, 799, 2013, 649, 1131, 1491, 454, 763, 1599, 568, 10169, 2147, 547, 519, 6024, 17286, 6199, 521, 10079, 12035, 6594, 538, 11872, 476, 275, 267, 609, 519, 1292, 3017, 1373, 602, 649, 1705, 711, 4009, 519, 27708, 2040, 607, 649, 786, 711, 991, 547, 1491, 547, 581, 1875, 24308, 269, 1306, 1279, 607, 568, 711, 1932, 1804, 267, 835, 666, 946, 930, 521, 10079, 6438, 26398, 547, 12337, 7215, 899, 3833, 8308, 269, 634, 19406, 630, 276, 264, 666, 581, 20582, 676, 1210, 513, 8799, 7447, 540, 5096, 523, 1636, 602, 28837, 519, 22994, 3780, 15554, 528, 24655, 1145, 646, 22618, 689, 26929, 476, 275, 912, 684, 6134, 569, 585, 782, 1547, 634, 22466, 21635, 616, 23696, 563, 1607, 7447, 786, 581, 8810, 676, 24590, 883, 1079, 2665, 269, 769, 519, 968, 332, 1994, 9095, 892, 2013, 950, 568, 2673, 547, 513, 7787, 609, 1507, 630, 1993, 2450, 610, 865, 1070, 713, 7447, 786, 581, 513, 12343, 540, 519, 590, 20672, 601, 8862, 2788, 529, 345, 11532, 630, 689, 11872, 476, 273, 5148, 621, 568, 519, 3498, 540, 713, 11532, 602, 568, 3743, 585, 519, 23696, 21635, 269, 769, 519, 6967, 968, 2381, 528, 9095, 892, 2013, 267, 835, 23131, 676, 1210, 513, 2036, 13541, 658, 3961, 630, 7945, 607, 966, 2795, 534, 779, 3961, 264, 547, 2769, 519, 2040, 538, 2474, 540, 21536, 710, 541, 18304, 540, 519, 1106, 2073, 543, 946, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 543, 519, 5634, 9095, 2470, 540, 547, 3489, 513, 2744, 538, 713, 2013, 269, 901, 786, 782, 581, 2944, 2630, 519, 16784, 269, 1284, 786, 849, 946, 630, 320, 11826, 4528, 540, 264, 519, 19406, 630, 277, 264, 630, 528, 630, 278, 4297, 547, 3715, 15550, 690, 2784, 990, 779, 11532, 563, 1721, 930, 602, 568, 711, 1932, 1804, 3379, 547, 1547, 634, 2409, 1031, 547, 3715, 14497, 476, 279, 666, 849, 3715, 513, 22263, 19406, 602, 2306, 630, 279, 264, 5730, 267, 543, 799, 666, 6556, 606, 14595, 6169, 540, 15550, 690, 2784, 990, 779, 11532, 282, 713, 786, 581, 2944, 2630, 519, 16784, 563, 19865, 476, 280, 8058, 602, 519, 1318, 11804, 2427, 540, 630, 279, 264, 666, 581, 17370, 9287, 607, 454, 10190, 267, 1397, 519, 16526, 454, 663, 9959, 602, 454, 263, 295, 842, 281, 585, 519, 8545, 7447, 267, 946, 14497, 476, 2767, 540, 11872, 476, 272, 8094, 763, 14170, 538, 519, 1657, 3635, 616, 3833, 2147, 547, 5688, 2213, 17286, 6199, 521, 10079, 14170, 630, 5408, 8791, 476, 273, 540, 11872, 476, 275, 1916, 5194, 19406, 547, 2073, 1644, 547, 519, 9168, 595, 1090, 2946, 337, 4351, 2203, 630, 5408, 7844, 476, 1015, 540, 26929, 476, 275, 264, 568, 454, 1721, 607, 1657, 543, 2941, 31870, 547, 1547, 1452, 4114, 574, 725, 630, 29148, 569, 1644, 547, 513, 3926, 1634, 607, 519, 968, 268, 339, 4459, 14615, 616, 711, 607, 11050, 569, 4977, 607, 519, 3105, 4114, 574, 725, 267, 855, 666, 1869, 3411, 823, 547, 3715, 15550, 690, 2784, 990, 779, 11532, 267, 543, 849, 547, 1293, 1082, 824, 5276, 3270, 538, 519, 22136, 610, 29162, 540, 519, 22136, 630, 31860, 952, 835, 7630, 338, 930, 3606, 2645, 689, 19605, 2036, 13541, 923, 267, 543, 4481, 519, 11201, 28756, 675, 585, 519, 717, 10183, 7833, 640, 8155, 5148, 1294, 713, 1957, 540, 5484, 5682, 543, 8885, 585, 811, 4901, 630, 663, 713, 811, 2487, 1957, 540, 1744, 7776, 585, 606, 2079, 540, 713, 1935, 538, 519, 2796, 540, 15550, 690, 2784, 990, 15178, 5376, 916, 1040, 634, 1739, 3635, 20475, 519, 19406, 630, 280, 264, 538, 513, 1106, 2147, 547, 519, 3105, 19406, 630, 279, 2187, 19865, 476, 1015, 2060, 607, 1657, 267, 1397, 602, 454, 1721, 782, 2067, 2338, 4586, 1765, 476, 272, 269, 5890, 11228, 18304, 936, 22136, 281, 519, 5634, 9095, 2013, 2443, 454, 2171, 2253, 676, 3384, 930, 2241, 11826, 8320, 540, 519, 1739, 2489, 646, 22618, 6240, 630, 22396, 269, 8791, 476, 274, 540, 26929, 476, 275, 2187, 32459, 2118, 476, 1556, 630, 13420, 573, 626, 9084, 6240, 264, 1323, 12825, 2040, 630, 7945, 607, 513, 5276, 2040, 610, 513, 21536, 710, 541, 2040, 5473, 513, 968, 560, 19099, 892, 5123, 1599, 1058, 8858, 930, 1875, 2389, 337, 20190, 23545, 566, 267, 8259, 972, 568, 606, 968, 984, 2365, 892, 15821, 2601, 1946, 971, 23545, 566, 949, 711, 2049, 630, 324, 3052, 269, 568, 5111, 13350, 609, 1507, 1974, 267, 610, 5111, 1232, 537, 1255, 883, 513, 2040, 30155, 2467, 616, 930, 3833, 10427, 8747, 540, 713, 6240, 538, 519, 3332, 267, 971, 607, 13158, 1676, 779, 5376, 916, 593, 1226, 573, 626, 9084, 540, 796, 760, 582, 550, 8928, 267, 5941, 538, 713, 3105, 5816, 2022, 269, 1703, 616, 2943, 2417, 5730, 8320, 540, 713, 6240, 799, 616, 28756, 3293, 547, 581, 3020, 267, 855, 585, 799, 713, 3788, 796, 2889, 1597, 630, 324, 3052, 269, 3823, 18106, 1284, 559, 18304, 538, 13113, 4610, 1040, 3371, 267, 1498, 267, 649, 786, 1445, 1152, 593, 519, 14724, 19183, 540, 713, 6240, 267, 538, 799, 568, 513, 5276, 610, 21536, 710, 541, 5123, 269, 21004, 8747, 540, 713, 2027, 2013, 540, 519, 1657, 6240, 786, 581, 1360, 3730, 538, 21501, 12825, 18304, 971, 607, 454, 514, 968, 2381, 528, 9095, 892, 3871, 538, 799, 568, 711, 1932, 2673, 547, 513, 7787, 1297, 540, 1507, 14009, 269, 634, 6967, 968, 332, 1994, 9095, 892, 2013, 950, 568, 2673, 547, 971, 513, 7787, 1297, 814, 547, 581, 17411, 676, 519, 14911, 2409, 540, 3818, 2364, 894, 1297, 3069, 267, 799, 649, 2490, 547, 2663, 538, 713, 3296, 563, 2690, 24099, 4128, 649, 4927, 1020, 8747, 540, 713, 6240, 602, 616, 538, 15333, 27168, 1106, 267, 4358, 609, 513, 8367, 602, 513, 1713, 9186, 538, 606, 12825, 2040, 568, 1459, 267, 543, 4142, 24976, 15821, 2497, 607, 513, 12343, 269, 901, 5012, 547, 9193, 602, 616, 711, 4628, 6099, 689, 513, 11050, 21169, 267, 855, 594, 3494, 789, 2285, 513, 1434, 12007, 14745, 540, 519, 9259, 1373, 23699, 1934, 563, 2171, 2253, 609, 519, 14724, 3236, 540, 20232, 476, 1556, 267, 12077, 3823, 796, 7076, 539, 5276, 18304, 540, 5276, 11775, 912, 268, 630, 328, 264, 1403, 454, 10190, 2073, 1141, 18575, 519, 3845, 689, 630, 1415, 11347, 540, 264, 547, 519, 14282, 8870, 563, 268, 630, 4512, 264, 2859, 3622, 267, 952, 454, 1721, 930, 27865, 821, 1599, 2073, 1287, 4586, 27893, 281, 3245, 519, 12166, 3126, 4542, 649, 723, 454, 663, 519, 3409, 630, 328, 264, 5205, 269, 1677, 6961, 630, 4512, 1070, 649, 2328, 543, 7747, 689, 14805, 566, 676, 2694, 602, 454, 6112, 689, 27865, 4577, 640, 649, 723, 454, 663, 519, 3409, 1287, 5205, 689, 630, 328, 264, 543, 519, 25190, 517, 23346, 6240, 563, 3086, 649, 1847, 547, 21536, 710, 541, 18304, 269, 1284, 1101, 991, 606, 10026, 19790, 2742, 912, 528, 3116, 972, 568, 513, 2067, 1297, 971, 602, 454, 3080, 666, 3489, 10169, 5857, 704, 9193, 1934, 676, 1210, 519, 8106, 3069, 540, 4797, 8454, 543, 645, 2129, 337, 5036, 267, 607, 538, 713, 3105, 5816, 2022, 267, 855, 649, 786, 711, 991, 891, 13217, 906, 1934, 563, 27893, 281, 1284, 949, 8263, 602, 543, 2073, 2094, 649, 616, 2944, 6382, 269, 3973, 972, 616, 693, 2547, 1079, 609, 2073, 543, 676, 519, 25190, 517, 23346, 6240, 649, 666, 1265, 538, 609, 543, 1547, 1635, 519, 6906, 8635, 267, 649, 9959, 602, 972, 6818, 693, 2547, 835, 2067, 1297, 585, 799, 454, 2252, 1287, 649, 616, 2944, 267, 865, 15475, 602, 1547, 14597, 602, 616, 2609, 540, 971, 602, 543, 1547, 5675, 585, 930, 2073, 649, 723, 454, 3528, 8367, 267, 6902, 4063, 602, 607, 543, 649, 849, 723, 1547, 901, 10522, 602, 543, 3976, 1547, 1284, 1287, 723, 454, 2171, 9959, 602, 585, 6378, 609, 2073, 972, 616, 693, 1034, 2609, 540, 971, 602, 1547, 594, 614, 908, 713, 609, 513, 6067, 9037, 5690, 267, 649, 1294, 602, 519, 1297, 540, 609, 568, 693, 1034, 6902, 2094, 2073, 713, 10522, 602, 454, 663, 519, 3409, 5205, 563, 3086, 649, 666, 1852, 21536, 710, 541, 18304, 540, 519, 1106, 454, 268, 630, 328, 264, 630, 13911, 594, 7447, 264, 1403, 568, 1483, 29705, 4240, 543, 27865, 821, 543, 454, 6533, 2901, 2073, 610, 972, 6818, 971, 602, 4586, 268, 630, 4512, 264, 630, 13911, 4083, 7447, 264, 1403, 454, 6533, 2901, 2073, 610, 972, 6818, 971, 602, 4586, 763, 19165, 540, 630, 328, 264, 543, 630, 4512, 264, 1058, 581, 3379, 609, 519, 24735, 23451, 454, 541, 2358, 689, 519, 6906, 8635, 543, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 563, 27893, 281, 1284, 2253, 609, 630, 328, 1040, 1635, 519, 6906, 8635, 267, 649, 723, 454, 763, 14805, 663, 538, 568, 22112, 676, 1547, 1284, 9959, 602, 454, 1721, 693, 2547, 5079, 540, 630, 10472, 568, 15864, 547, 1294, 676, 19163, 676, 27171, 1040, 16792, 19748, 2742, 476, 1321, 23870, 1070, 649, 9959, 602, 454, 1721, 693, 2547, 5079, 540, 1547, 16792, 19748, 2742, 476, 1724, 267, 649, 9959, 602, 835, 540, 2073, 2073, 610, 972, 6818, 513, 2067, 1297, 971, 602, 1547, 901, 3947, 630, 328, 264, 4849, 950, 1547, 769, 713, 2013, 267, 649, 2132, 547, 630, 1321, 1070, 799, 6585, 585, 693, 2547, 835, 2067, 1297, 2073, 543, 1305, 4586, 3086, 649, 6961, 630, 4512, 1040, 1635, 519, 6906, 8635, 267, 649, 723, 454, 663, 8754, 676, 519, 595, 879, 16408, 4149, 577, 8705, 345, 8635, 454, 763, 2451, 11804, 2427, 21040, 607, 454, 5228, 519, 6906, 8635, 267, 519, 7447, 543, 15340, 649, 9959, 602, 454, 1721, 693, 2547, 835, 3903, 540, 1547, 674, 1460, 713, 1547, 4595, 2073, 649, 3976, 723, 454, 1721, 5079, 540, 1547, 16792, 19748, 2742, 476, 1321, 9217, 1070, 649, 9959, 602, 454, 1721, 5079, 540, 1547, 16792, 19748, 2742, 476, 1724, 267, 649, 3489, 519, 3409, 563, 763, 1739, 3635, 9727, 519, 8325, 1145, 540, 519, 1657, 11532, 267, 693, 2547, 609, 14621, 547, 519, 3808, 593, 4586, 19865, 476, 1428, 2913, 581, 513, 7787, 1297, 609, 2073, 1577, 2073, 543, 1577, 581, 23385, 540, 4586, 268, 630, 328, 264, 1403, 585, 513, 18481, 1507, 6207, 3586, 2073, 1397, 602, 4586, 268, 630, 4512, 264, 1403, 568, 1256, 267, 543, 585, 513, 18481, 1507, 6207, 3586, 2073, 1397, 602, 4586, 268, 630, 328, 264, 14597, 602, 585, 930, 8884, 540, 3259, 693, 1034, 1547, 8058, 602, 972, 6818, 513, 2067, 1297, 971, 602, 1547, 630, 295, 842, 281, 32366, 593, 543, 946, 519, 8709, 3541, 4856, 1584, 8635, 630, 3682, 6570, 476, 278, 540, 11872, 476, 276, 1916, 268, 630, 4512, 264, 14597, 602, 585, 930, 8884, 8659, 538, 1547, 8058, 602, 972, 6818, 513, 2067, 1297, 971, 602, 585, 782, 630, 16694, 713, 3409, 568, 24735, 585, 15426, 630, 295, 842, 281, 946, 1524, 2072, 15632, 593, 2073, 14577, 607, 835, 4422, 2059, 267, 543, 8237, 909, 883, 10169, 2110, 12980, 3356, 687, 540, 1585, 838, 659, 902, 538, 1931, 547, 2490, 519, 1283, 4110, 3334, 540, 883, 9247, 3586, 11775, 8094, 268, 630, 13839, 264, 2422, 891, 23451, 547, 2285, 606, 14595, 6169, 540, 11644, 476, 279, 540, 11872, 476, 276, 563, 19865, 476, 1704, 630, 23797, 5511, 17326, 7645, 1284, 2643, 12825, 2040, 9193, 264, 2913, 581, 513, 9971, 538, 4632, 609, 14170, 585, 930, 1547, 2913, 543, 1547, 14597, 602, 454, 17004, 602, 2901, 835, 814, 585, 930, 2073, 610, 3116, 972, 6818, 513, 2067, 1297, 971, 602, 585, 782, 1547, 630, 9616, 281, 713, 568, 513, 2864, 16602, 3635, 267, 543, 568, 1152, 5227, 585, 1053, 945, 723, 27058, 519, 7440, 2877, 547, 4194, 519, 835, 8820, 4528, 540, 713, 3635, 689, 11644, 476, 1626, 269, 589, 3070, 568, 2016, 538, 713, 5816, 2022, 8094, 13434, 718, 602, 538, 519, 6169, 540, 519, 25512, 1512, 328, 13305, 514, 690, 2784, 990, 11532, 630, 5408, 11872, 476, 274, 1070, 18304, 971, 607, 610, 941, 17411, 676, 1210, 2036, 13541, 658, 9163, 971, 607, 966, 2795, 534, 779, 3961, 547, 8237, 610, 883, 10659, 540, 7392, 594, 610, 7392, 4083, 5996, 30055, 269, 634, 1482, 4640, 666, 581, 4294, 1934, 912, 10190, 2901, 2073, 610, 972, 6818, 513, 2067, 1297, 971, 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 ]

[ 5073, 825, 575, 22182, 3488, 7069, 1655, 12972, 568, 281, 1412, 1341, 1412, 315, 333, 262, 1341, 1193, 30044, 10734, 652, 318, 7955, 264, 1341, 1412, 315, 333, 262, 1341, 1193, 4433, 272, 264, 1341, 1412, 315, 333, 5073, 825, 575, 22182, 3488, 7069, 1655, 6060, 568, 1412, 1341, 1193, 30044, 10734, 652, 23962, 264, 1341, 1412, 315, 333, 17210, 825, 2132, 7531, 3698, 1292, 263, 1173, 341, 2187, 825, 5727, 14611, 7127, 1448, 540, 519, 1982, 281, 14509, 3403, 6119, 267, 21410, 519, 1655, 6474, 267, 543, 11339, 621, 547, 3977, 3758, 20701, 825, 1948, 1403, 1079, 6119, 711, 3403, 1540, 593, 519, 4971, 1899, 454, 825, 952, 7003, 4433, 903, 27769, 341, 264, 11203, 476, 274, 1384, 1038, 952, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 273, 912, 2018, 1820, 2891, 8253, 2614, 6119, 269, 7490, 946, 476, 273, 3728, 320, 6119, 607, 7440, 23528, 2018, 2132, 476, 272, 692, 1038, 8640, 7003, 4433, 903, 27769, 341, 264, 2652, 476, 272, 281, 476, 1948, 952, 1100, 7440, 2016, 267, 946, 9949, 6119, 454, 2018, 1820, 2891, 5591, 6119, 2016, 269, 4635, 9949, 3728, 320, 6119, 907, 23528, 2018, 3728, 2378, 850, 272, 815, 1930, 2891, 907, 270, 11907, 270, 2412, 278, 25248, 30444, 8807, 770, 320, 2580, 834, 337, 5602, 2018, 3728, 2378, 850, 273, 815, 1930, 2891, 907, 270, 11907, 270, 2412, 278, 25248, 31404, 8807, 770, 320, 2580, 834, 337, 15419, 1038, 3116, 281, 476, 1948, 3116, 952, 811, 982, 476, 274, 454, 2018, 1820, 2891, 32451, 1082, 6119, 269, 7490, 946, 476, 273, 3728, 320, 6119, 607, 7440, 23528, 2018, 2132, 476, 273, 692, 825, 3116, 281, 476, 1948, 952, 476, 273, 3403, 6119, 2016, 454, 1038, 3728, 2378, 850, 272, 815, 1930, 4433, 903, 27769, 341, 314, 272, 3910, 834, 337, 5602, 1038, 3728, 2378, 850, 273, 815, 1930, 4433, 903, 27769, 341, 314, 273, 3910, 834, 337, 15419, 825, 1948, 16259, 519, 3728, 320, 6119, 454, 825, 694, 336, 272, 815, 547, 23952, 6600, 770, 2378, 850, 272, 994, 825, 694, 336, 273, 815, 547, 23952, 6600, 770, 2378, 850, 273, 2020, 825, 1948, 14840, 5569, 318, 1873, 777, 547, 1265, 3476, 5311, 454, 825, 521, 272, 267, 521, 273, 267, 561, 272, 267, 561, 273, 815, 5569, 318, 1873, 777, 263, 572, 336, 272, 267, 694, 336, 273, 2020, 825, 1948, 14840, 1265, 10734, 652, 318, 7955, 547, 1265, 1655, 12972, 540, 9696, 454, 825, 1250, 10734, 652, 318, 7955, 267, 1250, 10734, 652, 23962, 815, 1265, 10734, 652, 318, 7955, 4433, 272, 267, 521, 273, 267, 561, 272, 267, 561, 273, 2020, 825, 1948, 19243, 3758, 454, 825, 3977, 18316, 6600, 770, 2378, 850, 272, 267, 3728, 2378, 850, 273, 267, 1250, 10734, 652, 318, 7955, 267, 1250, 10734, 652, 23962, 267, 521, 272, 2020, 825, 2132, 476, 271, 7531, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 4567, 815, 1292, 4433, 903, 27769, 341, 994, 825, 19523, 20216, 527, 263, 560, 9850, 9239, 0, 18851, 17787, 5288, 269, 1592, 2649, 687, 281, 799, 568, 5488, 286, 20701, 527, 619, 815, 476, 1911, 1822, 271, 454, 5814, 942, 527, 454, 5228, 9043, 1889, 1104, 1250, 5334, 638, 4100, 607, 1250, 5334, 638, 4100, 318, 5979, 3591, 454, 5228, 9043, 1889, 273, 1104, 1250, 5334, 638, 4100, 607, 1250, 5334, 638, 4100, 9078, 322, 7531, 18851, 5979, 3591, 5288, 269, 6443, 1505, 585, 12673, 281, 799, 568, 5488, 286, 29185, 3240, 11415, 815, 834, 7069, 5569, 4840, 5228, 9043, 1889, 1104, 1250, 19553, 7765, 607, 1250, 19553, 7765, 19553, 7765, 454, 5228, 9043, 1889, 273, 1104, 1250, 19553, 7765, 607, 1250, 19553, 7765, 7531, 258, 4939, 5503, 527, 1250, 5334, 638, 4100, 318, 5979, 3591, 263, 527, 619, 994, 258, 4939, 5503, 527, 1250, 5334, 638, 4100, 263, 527, 619, 994, 258, 4939, 5503, 527, 1250, 19553, 7765, 19553, 7765, 263, 527, 619, 267, 1250, 11415, 994, 258, 4939, 5503, 527, 1250, 19553, 7765, 263, 527, 619, 267, 1250, 11415, 9239, 5814, 942, 454, 11034, 815, 942, 28333, 4590, 3240, 5334, 638, 4100, 318, 5979, 3591, 263, 527, 619, 994, 2745, 2891, 3240, 5334, 638, 4100, 318, 5979, 3591, 3217, 4939, 325, 521, 547, 2196, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 11723, 11034, 815, 942, 28333, 4590, 3240, 5334, 638, 4100, 9078, 322, 263, 527, 619, 994, 2745, 2891, 3240, 5334, 638, 4100, 9078, 322, 3217, 4939, 325, 521, 547, 2196, 1701, 4939, 630, 5503, 28333, 3890, 910, 1376, 11723, 0, 258, 292, 30533, 320, 796, 1982, 320, 6446, 1151, 545, 924, 19448, 18085, 21059, 632, 546, 6403, 553, 586, 561, 826, 2998, 18665, 652, 516, 24140, 5451, 660, 553, 3520, 553, 267, 3097, 258, 1295, 583, 657, 586, 5302, 1495, 657, 18720, 679, 1965, 320, 18085, 21059, 632, 546, 6403, 553, 563, 2745, 2891, 290, 3201, 290, 308, 6369, 700, 3008, 670, 3036, 3008, 267, 300, 2562, 7473, 5308, 962, 590, 9680, 26685, 5308, 16692, 700, 5308, 14192, 3008, 1422, 333, 20594, 20594, 20594, 5602, 323, 5362, 815, 703, 9272, 2891, 28808, 25564, 1714, 1003, 3266, 632, 1019, 553, 281, 27363, 1817, 553, 815, 1019, 553, 2608, 476, 2190, 454, 2381, 583, 657, 815, 3520, 553, 2608, 476, 2568, 454, 572, 326, 1495, 657, 815, 1295, 583, 657, 2608, 476, 2568, 692, 2745, 2891, 5319, 834, 1341, 1193, 5560, 5362, 264, 1341, 834, 546, 807, 4433, 264, 18720, 834, 1341, 1193, 263, 1817, 553, 264, 1341, 834, 3520, 553, 267, 834, 1341, 1193, 263, 2381, 583, 657, 264, 1341, 834, 1295, 583, 657, 586, 834, 1341, 1193, 263, 572, 326, 1495, 657, 264, 1341, 834, 5302, 1495, 657, 5602, 0, 258, 303, 6403, 23014, 620, 721, 340, 9222, 6446, 3824, 516, 572, 647, 9930, 3691, 586, 561, 826, 2998, 18665, 652, 516, 3288, 1279, 2595, 632, 647, 9930, 3691, 563, 333, 558, 3691, 815, 3403, 2891, 28808, 25564, 8913, 9930, 3691, 281, 5602, 2745, 2891, 17442, 1279, 2595, 632, 8913, 9930, 3691, 1965, 281, 257, 266, 1598, 12759, 3799, 558, 3691, 21875 ]

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

[ 454, 825, 2097, 9809, 18372, 1003, 546, 5964, 562, 14243, 1067, 334, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 454, 825, 8173, 825, 12301, 19502, 6262, 1228, 807, 6831, 3326, 28739, 3799, 4917, 825, 12301, 20481, 10797, 3698, 32171, 318, 1706, 720, 332, 3799, 2187, 825, 5727, 302, 6584, 2939, 334, 13005, 524, 1228, 807, 632, 7502, 28739, 16948, 19804, 546, 5964, 562, 14243, 1067, 334, 692, 825, 1488, 7714, 912, 1038, 1535, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 692, 825, 16849, 912, 1038, 703, 281, 744, 6584, 2939, 334, 13005, 524, 1228, 807, 454, 825, 8173, 825, 2132, 7003, 6262, 1228, 807, 6831, 3326, 28739, 3799, 11723, 3698, 911, 8364, 318, 1706, 720, 332, 3799, 2187, 825, 5727, 308, 332, 27008, 320, 635, 15259, 1661, 1842, 632, 1612, 720, 332, 546, 553, 3524, 17845, 333, 857, 553, 632, 7502, 28739, 454, 825, 693, 2946, 19804, 546, 5964, 562, 14243, 1067, 334, 269, 28769, 32171, 632, 1612, 720, 332, 1303, 29868, 5498, 522, 6584, 2939, 334, 13005, 454, 825, 3524, 17845, 333, 25556, 693, 2946, 693, 532, 597, 522, 562, 14243, 1067, 334, 476, 272, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 562, 14243, 1067, 334, 538, 2772, 1929, 924, 454, 825, 8173, 825, 1661, 1842, 815, 1592, 9852, 777, 6025, 11391, 334, 318, 1706, 720, 332, 267, 2039, 263, 272, 267, 562, 1341, 476, 272, 21875, 825, 5049, 815, 476, 1911, 454, 825, 12301, 269, 7290, 6025, 655, 1842, 267, 5049, 994, 825, 12301, 26644, 3488, 307, 655, 1842, 547, 3279, 529, 632, 1612, 720, 332, 16948, 562, 14243, 1067, 657, 1303, 516, 476, 272, 552, 1412, 1341, 1193, 3799, 4917, 825, 12301, 11859, 16932, 3488, 307, 11391, 334, 632, 1612, 720, 332, 5073, 825, 12301, 269, 29786, 3488, 293, 7528, 17845, 333, 25556, 5073, 825, 12301, 20481, 10797, 258, 911, 8364, 6831, 3326, 28739, 263, 1911, 271, 994, 258, 911, 8364, 6831, 3326, 28739, 263, 1911, 272, 2020, 3698, 911, 8364, 318, 1260, 26174, 263, 867, 523, 27885, 2187, 825, 5727, 9199, 9809, 541, 19804, 1989, 5451, 325, 4815, 16948, 579, 2742, 546, 3385, 30458, 632, 3921, 523, 27885, 563, 825, 27539, 5498, 6446, 513, 705, 322, 1170, 553, 2097, 9809, 600, 900, 4642, 269, 7442, 6974, 320, 512, 3711, 2946, 332, 522, 533, 15193, 454, 825, 593, 1372, 522, 1989, 5451, 325, 4815, 693, 16636, 522, 27089, 544, 5451, 343, 24982, 780, 825, 1488, 7714, 912, 1038, 3921, 523, 27885, 630, 4289, 314, 15893, 316, 2567, 1306, 3921, 523, 27885, 798, 1989, 5451, 325, 4815, 454, 825, 8173, 825, 12301, 19502, 263, 867, 523, 27885, 994, 825, 3193, 344, 815, 3193, 263, 867, 523, 27885, 994, 825, 3193, 343, 815, 3921, 523, 27885, 28827, 9852, 25404, 994, 825, 12301, 269, 534, 2254, 622, 3488, 3488, 1341, 1193, 32384, 343, 264, 1341, 22207, 1412, 1341, 1193, 9852, 25404, 264, 1341, 1412, 264, 22779, 4449, 567, 27976, 815, 630, 10946, 343, 267, 3193, 344, 13211, 4449, 567, 27976, 3667, 815, 630, 10946, 343, 2608, 476, 272, 269, 272, 267, 3193, 344, 2608, 476, 272, 269, 272, 13211, 4449, 567, 15561, 2889, 1186, 815, 27835, 3333, 8667, 9166, 476, 271, 269, 4962, 267, 1412, 2183, 10233, 9166, 1412, 18872, 262, 348, 994, 825, 12301, 20481, 10797, 258, 911, 8364, 318, 1260, 26174, 6262, 1228, 807, 6831, 3326, 28739, 263, 1911, 4905, 264, 9239, 258, 476, 274, 9041, 1530, 529, 1989, 5451, 325, 545, 657, 14255, 8544, 2742, 4453, 3120, 692, 3698, 3586, 324, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 9041, 281, 476, 1015, 267, 5276, 3799, 4297, 2020, 3698, 2845, 541, 527, 332, 3821, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 2979, 28802, 3287, 1070, 5276, 3799, 4297, 2020, 3698, 5276, 3799, 2187, 825, 2132, 1592, 263, 9792, 263, 272, 267, 562, 1341, 476, 272, 11723, 3698, 2845, 318, 15035, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 2979, 28802, 3287, 1070, 5276, 3799, 4297, 2020, 3698, 13392, 320, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 2608, 476, 273, 267, 5276, 3799, 4297, 2020, 3698, 1163, 517, 523, 1017, 3799, 2187, 825, 2132, 1592, 9852, 777, 10857, 10033, 1535, 281, 1535, 1262, 273, 267, 5276, 3799, 4297, 2020, 3698, 694, 529, 318, 6996, 2742, 3799, 2187, 825, 5727, 5353, 529, 1989, 5451, 325, 545, 657, 632, 694, 529, 1187, 9809, 383, 369, 525, 635, 12584, 14255, 1286, 1461, 21289, 23843, 13005, 1950, 573, 1228, 454, 825, 1028, 842, 6759, 339, 3821, 632, 1187, 9809, 383, 369, 525, 269, 14642, 1989, 5451, 325, 545, 657, 3284, 732, 576, 332, 547, 323, 657, 14255, 8544, 2742, 4453, 3120, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 27089, 1929, 924, 16948, 524, 3385, 1989, 5451, 325, 4815, 563, 825, 8173, 825, 12301, 19502, 263, 6247, 14397, 3799, 1070, 567, 2681, 8782, 332, 26047, 320, 3299, 13274, 5598, 8782, 268, 5073, 825, 12301, 19502, 263, 8421, 541, 527, 332, 3821, 3799, 1070, 2681, 8782, 1097, 534, 3299, 13274, 5598, 8782, 281, 5073, 825, 12301, 19502, 263, 15035, 3799, 1070, 8587, 2681, 8782, 19990, 3299, 476, 13274, 5598, 8782, 268, 269, 5073, 825, 12301, 19502, 263, 8421, 318, 15035, 3799, 1070, 476, 2681, 8782, 1042, 3299, 567, 13274, 5598, 8782, 734, 5073, 825, 12301, 19502, 263, 638, 7310, 1738, 320, 3799, 1070, 476, 2681, 8782, 13582, 3299, 13274, 5598, 8782, 281, 5073, 825, 12301, 19502, 263, 10339, 517, 523, 1017, 3799, 1070, 2681, 8782, 18872, 3299, 476, 13274, 5598, 8782, 268, 269, 5073, 825, 12301, 20481, 30800, 258, 476, 275, 9041, 476, 277, 1178, 325, 545, 657, 900, 476, 277, 19562, 553, 692, 3698, 694, 529, 5334, 889, 7120, 3799, 2187, 825, 5727, 5353, 529, 1989, 5451, 325, 545, 657, 632, 694, 529, 1187, 9809, 383, 369, 525, 635, 12584, 14255, 1286, 1461, 21289, 23843, 13005, 1950, 573, 1228, 454, 825, 1028, 842, 6759, 339, 3821, 632, 1187, 9809, 383, 369, 525, 269, 14642, 1989, 5451, 325, 545, 657, 3284, 732, 576, 332, 900, 19562, 553, 546, 604, 5166, 525, 780, 825, 1488, 7714, 912, 1038, 562, 630, 842, 2567, 744, 705, 322, 20811, 1929, 924, 16948, 524, 3385, 19804, 13121, 1989, 5451, 325, 545, 657, 454, 825, 8173, 825, 1178, 325, 545, 657, 815, 1496, 6247, 14397, 3799, 1070, 2845, 541, 527, 332, 3821, 3799, 1070, 5276, 18692, 1038, 562, 1070, 2845, 318, 15035, 3799, 1070, 13392, 320, 3799, 1070, 1163, 517, 523, 1017, 3799, 22708, 825, 5707, 592, 657, 815, 18358, 6247, 14397, 3299, 1412, 8421, 3299, 1412, 15035, 3299, 1412, 8421, 2000, 514, 3299, 1412, 15153, 3299, 1412, 10339, 23300, 825, 585, 562, 538, 2039, 12759, 263, 6588, 325, 545, 657, 15892, 1038, 12301, 16553, 7120, 263, 273, 267, 476, 274, 267, 562, 1341, 476, 272, 264, 476, 1948, 13274, 13757, 267, 897, 684, 553, 267, 562, 14243, 1067, 334, 798, 1989, 5451, 325, 4815, 454, 1038, 12301, 19502, 263, 6588, 325, 545, 657, 19559, 7481, 1038, 12301, 26644, 6025, 527, 592, 657, 19559, 7481, 825, 12301, 20481, 30800, 258, 476, 276, 9041, 3400, 325, 4815, 536, 1551, 553, 635, 711, 553, 476, 272, 334, 606, 334, 700, 2316, 692, 3698, 536, 1551, 553, 318, 2254, 553, 10031, 825, 5727, 308, 332, 1989, 5451, 325, 4815, 632, 536, 1551, 553, 16948, 607, 711, 553, 546, 553, 5676, 21590, 798, 6305, 10098, 454, 825, 606, 334, 632, 19804, 620, 684, 334, 563, 825, 8173, 825, 3921, 523, 27885, 815, 1496, 1321, 267, 476, 1691, 267, 476, 1428, 267, 476, 866, 267, 476, 1691, 267, 476, 1704, 267, 476, 1015, 267, 476, 736, 267, 476, 1691, 2639, 825, 705, 322, 1170, 553, 815, 2039, 12759, 263, 867, 523, 27885, 4917, 825, 1696, 1172, 564, 553, 815, 18358, 3722, 3299, 1412, 4932, 272, 3299, 1412, 11520, 307, 3299, 1412, 303, 272, 3299, 1412, 4932, 273, 3299, 1412, 7709, 292, 3299, 1412, 3951, 310, 3299, 1412, 303, 273, 3299, 1412, 13612, 23300, 825, 12301, 26644, 3488, 8253, 553, 6305, 10098, 606, 334, 5073, 825, 2434, 3120, 815, 476, 271, 269, 279, 454, 825, 12301, 269, 8663, 263, 29582, 1170, 553, 267, 3921, 523, 27885, 267, 2434, 3120, 267, 2681, 815, 1412, 13582, 5073, 825, 12301, 269, 868, 6506, 263, 29582, 1170, 553, 267, 1696, 1172, 564, 553, 264, 1948, 1306, 1696, 1172, 564, 553, 535, 545, 600, 620, 514, 17495, 553, 635, 522, 538, 545, 1470, 13005, 3046, 571, 454, 258, 825, 28894, 629, 269, 868, 6506, 9852, 777, 10857, 10033, 1535, 281, 1535, 1341, 2434, 3120, 1315, 476, 273, 269, 271, 267, 705, 322, 1170, 553, 1070, 1696, 1172, 564, 553, 264, 1948, 1306, 1696, 1172, 564, 553, 535, 545, 600, 620, 514, 17495, 553, 635, 522, 1298, 549, 13005, 3046, 571, 454, 825, 12301, 20481, 30800, 258, 476, 277, 9041, 10439, 21289, 23843, 632, 1217, 320, 23843, 733, 5866, 900, 535, 7865, 328, 4592, 11483, 309, 692, 3698, 561, 518, 32269, 5091, 20601, 9222, 3799, 727, 6958, 7865, 10098, 267, 9348, 1815, 531, 14833, 22561, 2187, 825, 5727, 299, 518, 19804, 535, 7865, 10098, 11483, 309, 269, 744, 535, 7865, 10098, 533, 1712, 522, 340, 562, 14244, 1768, 9348, 324, 9809, 531, 14833, 780, 825, 1488, 7714, 912, 1038, 562, 727, 6958, 7865, 10098, 630, 1598, 2567, 744, 562, 727, 798, 535, 7865, 10098, 454, 1038, 2361, 12849, 630, 4289, 314, 1598, 3910, 18593, 2567, 476, 589, 30458, 635, 522, 562, 2345, 546, 553, 897, 684, 553, 563, 2018, 13139, 714, 541, 844, 18372, 522, 535, 7865, 10098, 562, 14244, 512, 1853, 9348, 324, 9809, 531, 14833, 269, 4347, 5435, 338, 547, 7183, 780, 825, 16849, 912, 1038, 1592, 314, 18743, 13912, 772, 2742, 30458, 632, 546, 20601, 926, 657, 635, 522, 733, 324, 14243, 4777, 798, 535, 7865, 10098, 3248, 2018, 607, 669, 2314, 798, 546, 20601, 5451, 26369, 521, 14244, 19984, 553, 13005, 6305, 4275, 13274, 3873, 798, 535, 7865, 10098, 454, 2018, 522, 340, 27764, 2784, 553, 13005, 30458, 9348, 324, 9809, 531, 14833, 563, 825, 8173, 825, 609, 1930, 3799, 727, 6958, 7865, 10098, 264, 607, 535, 7865, 10098, 32269, 912, 1038, 682, 3218, 815, 26417, 6185, 1112, 5649, 518, 6600, 7865, 10098, 32269, 267, 2361, 12849, 284, 322, 629, 1815, 531, 14833, 994, 1038, 2132, 1592, 263, 548, 3218, 2020, 3698, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 267, 897, 10044, 2187, 825, 5727, 308, 2742, 30458, 13121, 6083, 1846, 5330, 550, 525, 20221, 338, 12673, 632, 579, 2742, 897, 10044, 1003, 320, 512, 8475, 320, 780, 825, 1488, 7714, 912, 1038, 512, 8475, 320, 630, 3438, 314, 18743, 316, 2567, 589, 512, 8475, 320, 454, 1038, 897, 10044, 630, 1598, 2567, 744, 562, 727, 13005, 897, 10044, 692, 825, 16849, 912, 1038, 1592, 314, 15615, 13912, 589, 30458, 632, 10581, 454, 825, 8173, 825, 2132, 1592, 9852, 777, 10857, 10033, 13274, 3873, 281, 10581, 263, 4802, 3873, 314, 3712, 10044, 25818, 512, 8475, 320, 11723, 3698, 521, 1143, 657, 5332, 334, 8548, 23981, 10031, 825, 5727, 308, 332, 4786, 320, 635, 15259, 521, 1143, 657, 3284, 6974, 15606, 11188, 533, 2632, 657, 865, 3691, 19804, 1544, 529, 325, 2946, 26369, 563, 825, 589, 1351, 2512, 320, 513, 9588, 798, 521, 1143, 334, 563, 825, 3400, 9366, 522, 4786, 320, 1003, 535, 747, 10098, 635, 522, 562, 727, 1412, 338, 1143, 657, 26666, 23823, 825, 8173, 825, 512, 8475, 320, 815, 561, 518, 32269, 5091, 20601, 9222, 3488, 718, 318, 24629, 27406, 5073, 825, 512, 8475, 320, 318, 3916, 11985, 815, 1592, 6600, 559, 614, 18692, 1038, 25754, 13274, 3873, 281, 13274, 3873, 9131, 26245, 3363, 11172, 11203, 15234, 543, 13274, 3873, 9131, 14075, 3363, 11172, 11203, 15234, 543, 13274, 3873, 9131, 332, 698, 11172, 11203, 1412, 3299, 512, 8475, 320, 4917, 825, 1279, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 14075, 3363, 5073, 825, 4234, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 26245, 3363, 5073, 825, 3172, 6421, 815, 897, 10044, 318, 1706, 320, 318, 4148, 334, 1846, 6025, 8475, 320, 318, 3916, 11985, 267, 1412, 332, 698, 5073, 825, 12301, 31892, 2660, 10857, 784, 6421, 267, 4234, 6421 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 278, 267, 476, 278, 3910, 476, 1691, 994, 0, 5228, 17511, 1104, 5903, 692, 5035, 8827, 912, 825, 1219, 8789, 19340, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 1019, 815, 910, 272, 454, 1038, 4102, 815, 476, 271, 454, 1038, 1869, 15927, 815, 476, 271, 454, 1038, 585, 1775, 267, 1003, 538, 26246, 25225, 2187, 2018, 952, 1003, 3436, 4102, 912, 3546, 1019, 815, 1775, 454, 3546, 1869, 15927, 815, 4102, 454, 3546, 4102, 815, 1003, 454, 2018, 8640, 1003, 3436, 1869, 15927, 912, 3546, 1869, 15927, 815, 1003, 454, 1038, 952, 4102, 13843, 1869, 15927, 2608, 476, 273, 912, 2018, 2132, 1019, 454, 1038, 2132, 910, 272, 7531, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 271, 267, 271, 267, 274, 267, 273, 28413, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 274, 267, 476, 277, 267, 476, 272, 267, 476, 271, 28413, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 274, 267, 476, 277, 267, 476, 272, 267, 476, 271, 8079, 2652, 476, 272, 994, 825, 1820, 263, 11405, 14061, 3256, 5364, 19340, 8443, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 8079, 2652, 910, 272, 994, 0, 2745, 2891, 307, 655, 704, 520, 3120, 1642, 605, 806, 11456, 14826, 14826, 4840, 8587, 834, 307, 523, 655, 657, 796, 9300, 632, 2191, 520, 3120, 679, 1714, 605, 806, 11456, 1642, 1425, 573, 528, 632, 8356, 652, 571, 3227, 25564, 269, 1422, 333, 4840, 8587, 834, 5226, 699, 21573, 1387, 714, 541, 17485, 3611, 657, 605, 1602, 322, 542, 15606, 16948, 1999, 14373, 1422, 333, 4840, 8587, 834, 19561, 3181, 655, 657, 524, 3711, 3511, 1714, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 11188, 796, 334, 803, 329, 528, 269, 1422, 333, 4840, 8587, 834, 19324, 1942, 657, 334, 586, 635, 334, 1387, 16695, 632, 3611, 657, 1100, 10540, 655, 657, 547, 3405, 3375, 525, 5609, 19448, 3490, 26142, 333, 4840, 8587, 834, 3682, 1602, 322, 542, 32115, 15255, 2191, 4405, 553, 1199, 573, 553, 513, 3138, 2434, 334, 632, 15255, 476, 2190, 3520, 553, 1642, 546, 17144, 1422, 333, 4840, 8587, 834, 523, 19448, 1609, 1192, 3120, 632, 3611, 657, 632, 9133, 334, 30458, 735, 340, 652, 320, 11188, 476, 2190, 4283, 657, 24097, 333, 4840, 8587, 834, 339, 655, 704, 4405, 553, 318, 290, 815, 1496, 3451, 267, 5780, 267, 4792, 267, 271, 267, 6795, 267, 2568, 267, 7830, 267, 5038, 267, 3583, 267, 10602, 267, 3199, 267, 7597, 267, 3199, 267, 10695, 267, 6924, 267, 10170, 267, 8287, 267, 7871, 267, 2004, 267, 5392, 267, 7871, 267, 4366, 267, 3393, 267, 4375, 9948, 315, 333, 15419, 5814, 21267, 28272, 607, 12301, 692, 258, 299, 553, 1989, 5451, 325, 545, 553, 513, 2181, 1356, 534, 3678, 5451, 6776, 3512, 324, 1651, 6412, 27885, 679, 1714, 21641, 454, 258, 260, 3901, 15003, 538, 1467, 692, 258, 4347, 514, 597, 17485, 3611, 657, 552, 16660, 1535, 267, 552, 16660, 586, 454, 339, 655, 704, 4405, 553, 318, 290, 815, 1496, 3451, 267, 5780, 267, 4792, 267, 271, 267, 6795, 267, 2568, 267, 7830, 267, 5038, 267, 3583, 267, 10602, 267, 3199, 267, 10037, 267, 3199, 267, 10695, 267, 3445, 267, 8064, 267, 8618, 267, 7871, 267, 2004, 267, 5392, 267, 7871, 267, 4366, 267, 3393, 267, 4375, 2639, 1817, 553, 815, 1592, 263, 9792, 12759, 6025, 655, 704, 4405, 553, 318, 290, 4297, 2020, 258, 1989, 5451, 325, 4815, 454, 258, 4762, 580, 584, 541, 15255, 1286, 1461, 2065, 553, 1642, 1178, 325, 4815, 454, 10823, 19502, 263, 1817, 553, 267, 2191, 4405, 553, 318, 290, 267, 6003, 815, 834, 307, 655, 704, 520, 3120, 2580, 1899, 12296, 815, 476, 275, 267, 2681, 815, 834, 13582, 5602, 10823, 269, 1314, 327, 1467, 12169, 284, 3583, 267, 1899, 12296, 284, 272, 267, 2681, 8782, 337, 5073, 258, 9377, 514, 597, 562, 4861, 637, 632, 552, 329, 525, 586, 5707, 25222, 454, 10823, 11859, 16932, 3488, 1817, 553, 5073, 10823, 269, 29786, 3488, 307, 655, 704, 520, 3120, 2485, 374, 290, 5073, 10823, 26644, 3488, 307, 655, 704, 4405, 553, 632, 8356, 652, 549, 1425, 573, 528, 513, 3138, 2434, 334, 1642, 546, 17144, 5073, 258, 7197, 32057, 682, 344, 12629, 267, 24140, 611, 878, 3121, 586, 4453, 3120, 454, 10823, 269, 5586, 754, 4590, 10823, 269, 2381, 677, 6506, 318, 517, 4590, 10823, 26942, 6357, 18989, 267, 799, 8782, 332, 1994, 3299, 2681, 8782, 258, 26116, 26116, 3299, 13274, 5598, 8782, 268, 5073, 10823, 26942, 6357, 18989, 267, 799, 8782, 2381, 528, 3299, 2681, 8782, 18872, 3299, 13274, 5598, 8782, 268, 3299, 13672, 284, 271, 269, 273, 994, 10823, 20481, 10797, 2745, 2891, 3682, 1076, 2742, 14826, 4840, 8587, 834, 31333, 1714, 9300, 3713, 320, 544, 27222, 632, 476, 275, 3520, 553, 598, 2191, 4405, 553, 2706, 1470, 637, 522, 28075, 783, 525, 513, 476, 3583, 23263, 290, 1422, 333, 4840, 8587, 834, 334, 524, 783, 638, 1512, 2191, 520, 3120, 9120, 513, 476, 3199, 23263, 290, 522, 1714, 1596, 539, 1470, 2706, 320, 17485, 476, 4792, 23263, 290, 1422, 333, 4840, 8587, 834, 323, 584, 14397, 547, 4777, 1714, 546, 17144, 267, 3181, 655, 657, 3921, 523, 541, 1714, 524, 3711, 1470, 1642, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 1422, 333, 4840, 8587, 834, 1706, 320, 859, 10560, 13005, 10722, 541, 1714, 605, 806, 11456, 26142, 333, 4840, 8587, 834, 299, 334, 1368, 328, 732, 21573, 32488, 334, 513, 32488, 334, 16948, 6446, 533, 4240, 320, 547, 3405, 3288, 20068, 18059, 1422, 333, 4840, 8587, 834, 20412, 18372, 3473, 684, 657, 32488, 657, 10827, 657, 24097, 333, 15419, 2745, 2891, 17442, 31301, 520, 3120, 544, 27713, 9874, 6446, 694, 7373, 549, 1965, 815, 2580, 1295, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 2891, 17442, 31301, 520, 3120, 3193, 9874, 6446, 694, 7373, 549, 1965, 815, 2580, 3193, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 2891, 299, 553, 31301, 4405, 553, 28075, 783, 525, 522, 2706, 1470, 637, 513, 476, 3583, 23263, 290, 5067, 281, 5602, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 952, 476, 3583, 10922, 512, 912, 2018, 1820, 6025, 2020, 2745, 2891, 17442, 2191, 520, 3120, 2923, 513, 3138, 2434, 334, 1642, 546, 17144, 815, 2580, 2040, 6025, 655, 704, 4405, 553, 318, 290, 8358, 6352, 6025, 655, 704, 4405, 553, 318, 290, 4917, 2745, 19629, 333, 31333, 13398, 1512, 320, 19448, 2887, 320, 679, 1714, 9300, 513, 15255, 476, 6734, 281, 876, 586, 1100, 3061, 584, 5451, 1090, 657, 17485, 3611, 657, 267, 1422, 333, 4840, 8587, 834, 382, 379, 322, 6759, 15879, 3934, 541, 17144, 1714, 27089, 6446, 562, 657, 23881, 3279, 286, 1422, 333, 4840, 8587, 834, 17357, 2958, 597, 1965, 324, 27089, 679, 3288, 30458, 632, 2191, 4405, 553, 1701, 2020, 559, 284, 9230, 263, 339, 655, 704, 4405, 553, 318, 290, 314, 275, 316, 268, 339, 655, 704, 4405, 553, 318, 290, 314, 273, 8079, 14370, 1817, 553, 314, 275, 316, 268, 1817, 553, 314, 273, 316, 4297, 16732, 1817, 553, 314, 274, 316, 268, 1817, 553, 314, 273, 316, 4297, 266, 339, 655, 704, 4405, 553, 318, 290, 314, 273, 2639, 339, 655, 704, 4405, 553, 318, 290, 314, 274, 24557, 559, 454, 2745, 2891, 302, 24189, 18372, 1714, 1558, 29081, 632, 11410, 565, 30685, 1899, 531, 282, 1714, 27089, 1642, 9300, 513, 15255, 476, 274, 281, 876, 1422, 333, 4840, 8587, 834, 1372, 828, 807, 1583, 815, 14307, 24924, 267, 834, 4113, 322, 5602, 2745, 2891, 8266, 320, 632, 2191, 4405, 553, 2323, 326, 5866, 14826, 295, 23768, 29146, 307, 655, 704, 4405, 553, 11019, 322, 5602, 1721, 554, 538, 3520, 553, 912, 8587, 1820, 263, 1817, 553, 314, 327, 316, 2437, 281, 476, 876, 29146, 29146, 2580, 2191, 4405, 553, 318, 290, 314, 327, 20285, 2745, 2891, 289, 517, 881, 24265, 281, 8356, 652, 549, 2123, 632, 16051, 523, 574, 1304, 334, 1965, 632, 17485, 6480, 15606, 1133, 573, 657, 1422, 333, 4840, 8587, 834, 344, 1100, 2440, 526, 324, 1714, 521, 626, 9047, 544, 18863, 878, 334, 2028, 659, 1308, 269, 1422, 333, 4840, 8587, 834, 303, 553, 541, 15255, 2191, 4405, 553, 513, 5552, 657, 18278, 26142, 333, 4840, 8587, 834, 293, 6759, 3944, 3121, 281, 674, 815, 476, 272, 269, 279, 2608, 595, 1341, 476, 3953, 14826, 4840, 8587, 834, 19986, 281, 4179, 2517, 523, 25769, 3820, 28293, 270, 3519, 11437, 15058, 318, 28493, 15058, 4671, 17687, 14826, 5602, 3698, 7503, 630, 339, 655, 2187, 8587, 1661, 815, 630, 339, 655, 265, 280, 270, 276, 11924, 3953, 454, 8587, 2132, 1661, 454, 339, 655, 704, 4405, 553, 6958, 17342, 2639, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 2191, 4405, 553, 6958, 6910, 263, 935, 11437, 6025, 4917, 2745, 2891, 8266, 320, 632, 2191, 4405, 553, 6460, 573, 553, 513, 5552, 657, 18278, 14826, 4840, 8587, 834, 295, 23768, 29146, 307, 655, 704, 4405, 553, 11019, 293, 5602, 1721, 554, 538, 3520, 553, 912, 8587, 1820, 263, 1817, 553, 314, 327, 316, 2437, 281, 476, 876, 29146, 29146, 2580, 2191, 4405, 553, 6958, 314, 327, 20285, 2745, 19629, 333, 307, 5448, 3288, 3375, 14826, 4840, 8587, 834, 13434, 21838, 1372, 6446, 23313, 1714, 9300, 3713, 320, 1422, 333, 4840, 8587, 834, 332, 27222, 632, 476, 275, 3520, 553, 598, 2191, 4405, 553, 2706, 1470, 637, 522, 28075, 783, 525, 513, 476, 3583, 23263, 290, 522, 1422, 333, 4840, 8587, 834, 322, 783, 638, 1512, 2191, 520, 3120, 9120, 513, 476, 3199, 23263, 290, 522, 1422, 333, 4840, 8587, 834, 601, 1596, 539, 1470, 535, 826, 9120, 513, 476, 4792, 23263, 290, 513, 3138, 2434, 334, 1642, 546, 17144, 267, 1422, 333, 4840, 8587, 834, 1372, 321, 655, 657, 29593, 3288, 3921, 523, 632, 524, 3711, 3511, 1714, 521, 626, 9047, 632, 679, 325, 26713, 1304, 334, 1422, 333, 4840, 8587, 834, 1706, 320, 859, 10560, 1714, 10652, 580, 549, 632, 13005, 10722, 541, 1714, 16491, 334, 14826, 5602, 328, 284, 271, 454, 332, 4215, 6831, 284, 8999, 6025, 655, 704, 4405, 553, 318, 290, 8358, 6352, 6025, 655, 704, 4405, 553, 318, 290, 994, 1721, 512, 538, 2191, 4405, 553, 318, 290, 912, 8587, 952, 630, 4792, 2999, 2923, 6831, 2187, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 8587, 952, 630, 3199, 283, 339, 2187, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 8587, 952, 476, 3583, 27045, 339, 912, 16875, 1775, 6834, 476, 272, 454, 8587, 952, 476, 275, 2999, 1775, 912, 16875, 1820, 2891, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 382, 350, 23615, 291, 4696, 2207, 302, 281, 595, 4456, 10292, 2752, 20700, 590, 8780, 4932, 288, 16692, 13673, 293, 6020, 4456, 296, 7728, 302, 30314, 30314, 30314, 26008, 5602, 16875, 2736, 692, 2745, 19629, 333, 9288, 329, 23768, 13777, 32136, 14826, 15419, 2745, 2891, 5226, 699, 21573, 15255, 3520, 553, 630, 7224, 15255, 2191, 4405, 553, 264, 24140, 5984, 2191, 520, 3120, 2706, 334, 17485, 476, 3583, 23263, 290, 14826, 4840, 8587, 834, 935, 3288, 7873, 545, 18059, 632, 6446, 1965, 553, 3520, 553, 5067, 544, 27222, 632, 476, 275, 586, 13394, 583, 643, 553, 267, 1422, 333, 4840, 8587, 834, 7224, 2241, 618, 324, 3288, 2040, 320, 632, 547, 4777, 1714, 8580, 2863, 334, 269, 1422, 333, 4840, 8587, 834, 382, 379, 5353, 15921, 921, 1609, 320, 7873, 545, 18059, 286, 5602, 2745, 2891, 31333, 694, 15921, 680, 1470, 679, 1714, 521, 580, 340, 1304, 324, 8580, 2863, 334, 632, 3520, 553 ]

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

[ 7522, 19961, 540, 6394, 6786, 543, 513, 1804, 1377, 540, 5365, 1310, 29208, 267, 4170, 585, 519, 21096, 304, 3556, 6724, 616, 711, 2565, 563, 300, 984, 1006, 540, 519, 2898, 1062, 3322, 519, 946, 540, 606, 5007, 3556, 609, 513, 18292, 8818, 269, 589, 5730, 10386, 8255, 609, 1164, 6384, 543, 3340, 513, 6571, 540, 711, 1447, 982, 476, 1626, 11353, 269, 5221, 540, 519, 1382, 2601, 267, 519, 8385, 4646, 24352, 731, 1062, 1590, 1683, 513, 10386, 585, 693, 2547, 5216, 4830, 9055, 269, 634, 10386, 2557, 568, 711, 2565, 269, 2311, 519, 1283, 540, 519, 9916, 5365, 4908, 540, 476, 4335, 21636, 543, 519, 3177, 3732, 585, 519, 1884, 658, 328, 2084, 6882, 9386, 267, 972, 568, 3833, 606, 7850, 10386, 4908, 3160, 547, 476, 275, 737, 13703, 269, 4634, 1247, 2324, 609, 5216, 9055, 267, 519, 25739, 4908, 585, 519, 2898, 3556, 786, 1152, 581, 476, 3953, 737, 13703, 563, 288, 14909, 4183, 540, 519, 3556, 1031, 568, 23564, 9832, 269, 1358, 1450, 585, 513, 8465, 16369, 2039, 540, 519, 17931, 540, 519, 25541, 5365, 543, 1732, 946, 540, 6384, 667, 3722, 563, 288, 3301, 851, 540, 713, 1788, 568, 2854, 538, 595, 10030, 543, 8255, 593, 519, 12380, 5665, 1062, 269, 9603, 547, 519, 8244, 540, 10256, 267, 519, 3498, 729, 7318, 593, 12380, 13891, 1014, 267, 543, 1813, 547, 519, 24416, 4170, 267, 621, 729, 4956, 602, 519, 1982, 568, 513, 23641, 3498, 269, 634, 3077, 540, 519, 3301, 568, 1239, 11601, 267, 5365, 9936, 1436, 267, 543, 8760, 563, 274, 269, 15444, 294, 6482, 676, 1210, 7484, 11057, 543, 5595, 630, 326, 1663, 539, 264, 22809, 454, 763, 7403, 941, 1500, 676, 1210, 23287, 630, 8201, 476, 273, 264, 7484, 11057, 630, 8201, 476, 274, 264, 543, 5595, 22809, 630, 8201, 476, 275, 1040, 634, 4704, 19650, 729, 1031, 607, 835, 540, 519, 1350, 4240, 22809, 630, 8201, 476, 273, 1040, 1323, 1383, 540, 519, 4704, 1167, 19650, 13307, 568, 3254, 538, 7612, 476, 277, 563, 274, 269, 272, 269, 20970, 1062, 454, 763, 6482, 1062, 5161, 540, 22809, 267, 513, 840, 600, 680, 8595, 540, 606, 15444, 294, 5365, 267, 606, 5084, 20303, 267, 543, 513, 1617, 747, 14128, 2594, 518, 269, 1306, 606, 5084, 20303, 267, 513, 1617, 747, 14128, 2594, 518, 814, 1044, 1031, 267, 610, 513, 3280, 3556, 609, 513, 3301, 585, 3059, 5365, 4393, 563, 288, 1906, 3063, 2934, 723, 1044, 13761, 1354, 3803, 1944, 519, 12122, 540, 519, 6482, 1062, 269, 1677, 2594, 519, 2164, 540, 519, 7403, 267, 2947, 1114, 6482, 19383, 941, 1031, 269, 8422, 540, 873, 723, 1044, 12649, 11874, 269, 634, 1292, 2042, 6161, 519, 13779, 689, 519, 1379, 3761, 267, 6846, 689, 9605, 310, 790, 630, 2254, 2141, 1070, 543, 1629, 617, 1637, 540, 519, 15444, 294, 5365, 15791, 689, 513, 7404, 5925, 6728, 31092, 269, 634, 946, 540, 6007, 1379, 267, 519, 5786, 540, 15444, 294, 12904, 3259, 267, 543, 519, 946, 540, 519, 18292, 1668, 1500, 621, 2009, 547, 9004, 519, 2042, 7396, 1657, 563, 763, 15444, 294, 6786, 941, 6740, 607, 513, 5951, 3898, 3758, 609, 513, 476, 4366, 10275, 13703, 10386, 4908, 267, 609, 476, 1626, 19229, 6571, 269, 634, 15444, 294, 5365, 6384, 3914, 827, 476, 736, 28108, 267, 865, 602, 519, 5365, 6724, 616, 6190, 269, 1323, 2653, 2079, 540, 519, 6592, 6786, 568, 16798, 676, 1210, 513, 5951, 3898, 3758, 269, 4438, 519, 7403, 267, 519, 6592, 5365, 666, 581, 4767, 267, 543, 891, 6786, 666, 581, 10268, 538, 1483, 942, 269, 898, 568, 849, 2009, 547, 7696, 930, 12508, 585, 2653, 10223, 538, 519, 1985, 17279, 540, 1913, 269, 7612, 476, 278, 2982, 930, 1806, 540, 519, 2164, 540, 519, 7403, 563, 763, 7403, 941, 3177, 585, 513, 1895, 540, 476, 1691, 1004, 630, 1556, 2367, 543, 476, 274, 2021, 1070, 9907, 476, 736, 1700, 1839, 1296, 269, 589, 6093, 4087, 585, 22809, 568, 3254, 538, 7612, 476, 279, 269, 634, 22809, 685, 4087, 28209, 5594, 1063, 2043, 282, 519, 3604, 8507, 5097, 689, 519, 3604, 538, 519, 14169, 540, 519, 1480, 1560, 269, 769, 1931, 547, 2087, 519, 19428, 1063, 519, 2960, 543, 519, 22809, 267, 606, 6850, 17238, 633, 13594, 729, 1031, 269, 634, 15444, 294, 6786, 941, 6592, 609, 543, 1510, 519, 25801, 13594, 269, 634, 946, 540, 519, 13594, 538, 930, 2665, 5594, 4824, 519, 19428, 630, 1492, 6592, 15444, 294, 5365, 729, 3152, 5148, 519, 824, 1705, 711, 1860, 519, 1871, 540, 519, 15444, 294, 5365, 269, 1703, 941, 1100, 2665, 540, 21324, 540, 519, 15444, 294, 6786, 1310, 7311, 519, 13594, 563, 2414, 3035, 519, 1655, 10956, 1464, 540, 519, 6027, 6786, 267, 519, 1382, 1184, 729, 5340, 609, 519, 1739, 5650, 281, 476, 272, 264, 3498, 540, 519, 9300, 547, 519, 8405, 282, 476, 273, 264, 5365, 2638, 281, 952, 3983, 1107, 513, 1689, 540, 9300, 2990, 568, 2877, 267, 952, 1434, 1107, 10916, 519, 5365, 269, 634, 22809, 941, 7923, 676, 1210, 513, 13622, 543, 8520, 11746, 267, 4180, 519, 2604, 6617, 936, 519, 3003, 1184, 540, 7403, 563, 7628, 519, 7403, 267, 621, 729, 1336, 602, 519, 15444, 294, 6786, 21739, 8428, 1369, 519, 1895, 269, 1280, 5216, 5396, 267, 519, 2953, 2418, 540, 519, 15444, 294, 6786, 941, 5833, 5612, 267, 1247, 585, 3670, 1004, 267, 519, 2953, 2418, 1223, 711, 581, 5833, 5612, 269, 8422, 540, 891, 1004, 4121, 547, 3717, 1913, 538, 513, 2110, 942, 267, 865, 602, 519, 15444, 294, 5365, 1185, 519, 2953, 1871, 269, 634, 824, 1614, 941, 711, 2111, 547, 3489, 519, 15444, 294, 5365, 1256, 1310, 930, 942, 563, 7628, 519, 7403, 267, 476, 1015, 10221, 1431, 540, 519, 1739, 2609, 540, 519, 8675, 941, 6592, 281, 519, 24008, 513, 267, 552, 267, 1775, 267, 522, 267, 579, 267, 586, 282, 519, 1913, 281, 968, 17380, 5608, 968, 11034, 5608, 968, 23014, 329, 892, 630, 325, 1887, 1070, 968, 341, 682, 17383, 892, 630, 3847, 1070, 968, 341, 9299, 17383, 892, 630, 2431, 1070, 968, 335, 879, 5633, 892, 630, 335, 1021, 1070, 968, 10938, 5608, 968, 339, 752, 892, 630, 13433, 1070, 968, 22448, 892, 630, 7224, 1916, 2414, 1205, 519, 2953, 1297, 540, 10221, 1431, 543, 519, 7222, 8884, 1063, 1114, 1913, 267, 519, 21370, 6881, 593, 519, 5496, 729, 1031, 269, 2060, 713, 3070, 267, 519, 6786, 1705, 711, 16937, 267, 543, 621, 729, 2653, 547, 1205, 519, 2838, 1297, 540, 10221, 1431, 563, 274, 269, 274, 269, 12763, 906, 5758, 454, 2690, 2362, 2418, 540, 15444, 294, 6786, 1282, 6340, 267, 621, 568, 2556, 547, 946, 811, 6213, 8596, 269, 634, 946, 540, 519, 25801, 13594, 1705, 711, 2333, 519, 1871, 540, 519, 5365, 269, 634, 15444, 294, 5365, 814, 519, 5207, 1871, 4470, 593, 519, 5396, 543, 7158, 540, 519, 19650, 269, 15531, 519, 1655, 4087, 540, 22809, 3340, 1896, 8942, 269, 1280, 930, 1004, 267, 519, 2953, 15444, 294, 5365, 1223, 711, 581, 5833, 267, 855, 930, 540, 891, 1004, 1223, 1451, 547, 3717, 971, 1913, 267, 543, 3976, 519, 15444, 294, 6786, 941, 2953, 269, 634, 946, 540, 14461, 4087, 540, 519, 9300, 2337, 547, 2087, 519, 2953, 15444, 294, 5365, 2298, 563, 763, 1101, 6901, 1644, 547, 519, 14261, 540, 519, 15444, 294, 6786, 941, 5342, 609, 519, 946, 540, 519, 1101, 2606, 4528, 540, 519, 5907, 5547, 269, 634, 4162, 540, 713, 3926, 941, 12904, 540, 476, 272, 269, 276, 544, 267, 8220, 519, 24582, 609, 519, 2627, 22809, 267, 799, 941, 5116, 593, 519, 2960, 540, 519, 11567, 1268, 563, 1103, 519, 1184, 540, 7893, 267, 930, 2042, 941, 4767, 267, 607, 5205, 912, 14683, 1377, 1208, 540, 476, 2004, 21636, 1107, 519, 1377, 540, 713, 6846, 729, 9244, 8200, 593, 519, 12904, 2990, 2676, 4219, 540, 513, 6846, 1377, 1282, 519, 6482, 1813, 547, 4657, 540, 519, 12904, 2990, 267, 543, 454, 338, 793, 531, 689, 519, 29482, 31092, 630, 534, 11530, 5925, 1982, 1070, 4470, 593, 519, 2990, 538, 519, 2679, 563, 5472, 519, 4843, 2042, 616, 4448, 609, 513, 1804, 3259, 540, 12904, 8220, 519, 22809, 609, 519, 24582, 269, 634, 15444, 294, 6786, 24582, 814, 513, 1360, 1804, 29208, 543, 3403, 25317, 269, 898, 568, 1360, 6213, 547, 19374, 689, 519, 3167, 1700, 332, 8568, 4610, 1472, 519, 3926, 563, 763, 1655, 1505, 547, 7413, 891, 1826, 540, 19374, 568, 519, 5786, 540, 519, 5911, 3259, 689, 519, 19650, 547, 519, 24582, 269, 1677, 8275, 713, 2832, 267, 519, 9910, 4405, 1436, 540, 519, 3926, 568, 2556, 269, 634, 1101, 1900, 568, 547, 3728, 523, 519, 22809, 2047, 547, 519, 9102, 5547, 4604, 267, 543, 519, 2034, 1900, 568, 547, 1747, 519, 2898, 3926, 593, 519, 8405, 540, 519, 6027, 1268, 563, 275, 269, 3557, 540, 519, 1148, 540, 15444, 294, 4633, 6284, 454, 763, 2038, 1382, 538, 519, 2361, 540, 30402, 344, 2762, 538, 4633, 2029, 729, 10416, 5645, 856, 1152, 585, 1697, 4633, 14382, 4854, 630, 12407, 4394, 6476, 1063, 2635, 1004, 609, 14382, 4185, 1916, 5575, 1713, 8062, 547, 946, 15444, 294, 585, 13128, 4633, 6284, 941, 2944, 538, 476, 2735, 276, 1700, 2735, 277, 538, 519, 7330, 543, 3567, 269, 5651, 572, 1696, 620, 269, 476, 4294, 2185, 7302, 14128, 2627, 22809, 609, 513, 10386, 4908, 540, 476, 24423, 271, 5439, 270, 577, 14128, 4882, 269, 2991, 519, 20159, 540, 17931, 543, 4908, 6512, 547, 519, 2039, 540, 476, 1911, 1700, 1911, 271, 21636, 267, 476, 736, 10221, 1431, 540, 9678, 1913, 630, 21745, 1080, 538, 2296, 264, 585, 1079, 9739, 941, 8947, 269, 2991, 519, 946, 540, 16066, 630, 10946, 3065, 10171, 1070, 519, 8464, 693, 519, 1377, 540, 476, 2568, 260, 941, 5833, 269, 769, 513, 2663, 1382, 267, 519, 1482, 2319, 5833, 2147, 2164, 609, 519, 946, 540, 8849, 5121, 4586, 1103, 513, 6252, 1353, 267, 5545, 3744, 590, 1872, 773, 1696, 620, 269, 476, 609, 1614, 7302, 14128, 2627, 22809, 609, 513, 10386, 4908, 540, 476, 10219, 271, 5439, 270, 577, 14128, 4882, 16309, 538, 1483, 6066, 6049, 6284, 6901, 269, 1280, 1614, 9739, 543, 476, 2004, 5545, 24424, 267, 789, 6603, 513, 1697, 8760, 693, 519, 1377, 540, 476, 5038, 18336, 16449, 1382, 7740, 1141, 1034, 4359, 1568, 593, 1016, 341, 5914, 4633, 630, 22372, 593, 15444, 294, 264, 616, 2944, 267, 519, 8331, 2549, 525, 3194, 4741, 1058, 581, 5018, 1496, 1556, 267, 476, 1321, 4940, 808, 3073, 27255, 1696, 620, 269, 946, 5951, 2280, 2981, 610, 5276, 16762, 8193, 607, 519, 9936, 1436, 1505, 267, 543, 789, 946, 5841, 8849, 5121, 267, 25789, 300, 630, 26625, 677, 6152, 6191, 1070, 543, 670, 12613, 630, 327, 5200, 4460, 990, 3631, 264, 607, 1362, 13294, 269, 1280, 519, 3908, 1305, 540, 2947, 5639, 12981, 267, 789, 5833, 519, 8464, 540, 519, 1931, 540, 476, 3445, 10065, 1280, 519, 1305, 540, 2296, 11436, 543, 4775, 9739, 267, 519, 8464, 941, 2539, 1107, 693, 519, 1377, 540, 476, 2004, 10065, 7324, 3156, 2966, 676, 8331, 267, 22290, 5639, 12981, 8060, 630, 324, 3052, 1421, 585, 6552, 23376, 540, 3498, 610, 8773, 1070, 849, 4633, 6284, 538, 2352, 2175, 1058, 581, 5018, 630, 324, 3052, 1421, 17974, 1107, 609, 1164, 6846, 1377, 610, 609, 4633, 14733, 950, 519, 3154, 9633, 568, 593, 1916, 10932, 5645, 856, 676, 5576, 738, 345, 1696, 620, 269, 1496, 1724, 1700, 1428, 316, 693, 10127, 3149, 745, 515, 2160, 666, 581, 2808, 607, 519, 1034, 2629, 538, 519, 2063, 8717, 1317, 789, 6836, 547, 7753, 519, 10584, 13829, 593, 835, 1688, 543, 519, 20159, 540, 519, 10471, 593, 519, 824, 269, 634, 6394, 5365, 6538, 630, 4932, 294, 6261, 3951, 264, 729, 6592, 585, 476, 4281, 10529, 609, 519, 946, 540, 3670, 22809, 5116, 593, 519, 10584, 779, 3068, 543, 8405, 269, 1280, 519, 5365, 9936, 1436, 267, 519, 6724, 540, 942, 6389, 941, 4294, 630, 11743, 1871, 538, 7406, 267, 1648, 267, 15385, 4642, 5860, 1040, 1280, 519, 3732, 540, 476, 1691, 10529, 630, 1015, 5220, 1142, 1070, 789, 5833, 476, 5325, 269, 1428, 260, 540, 654, 2207, 630, 5320, 5470, 2557, 1916, 10048, 23042, 1696, 620, 269, 1496, 1626, 267, 476, 1704, 316, 8876, 856, 1382, 693, 519, 5545, 715, 22721, 1684, 10870, 27770, 1031, 513, 3209, 4480, 540, 4259, 540, 519, 15444, 294, 22809, 269, 769, 519, 6069, 4480, 267, 1614, 22809, 616, 1305, 593, 519, 10584 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 12558, 1491, 721, 547, 8419, 547, 1451, 827, 930, 5863, 5726, 3646, 2921, 1747, 547, 2149, 13155, 543, 1271, 2249, 899, 519, 8419, 23202, 615, 543, 634, 8419, 6371, 7749, 704, 838, 5535, 799, 568, 2808, 519, 1034, 13155, 6177, 2249, 538, 519, 18626, 772, 2529, 269, 609, 7864, 982, 476, 3199, 2937, 5017, 2451, 538, 519, 3552, 563, 5978, 16823, 568, 7325, 773, 24261, 540, 519, 2817, 13812, 25083, 5948, 269, 7325, 773, 6585, 519, 2990, 540, 8419, 543, 13323, 15789, 15440, 585, 519, 2817, 13812, 25083, 5948, 269, 7325, 773, 814, 936, 476, 2537, 1296, 685, 1995, 2324, 538, 519, 5726, 2361, 269, 7325, 773, 814, 513, 2647, 4560, 540, 1995, 543, 1702, 267, 689, 2324, 607, 513, 7320, 29489, 543, 2244, 9614, 547, 2244, 4027, 6388, 267, 2244, 5726, 1982, 1646, 267, 543, 14957, 585, 2244, 5726, 7616, 543, 3292, 563, 19878, 773, 1568, 609, 782, 2157, 540, 22257, 8041, 543, 4357, 9988, 547, 281, 1020, 5726, 4566, 585, 6870, 7320, 2249, 267, 2697, 5726, 3338, 543, 4027, 2994, 282, 1020, 15395, 6272, 267, 2359, 543, 3609, 267, 2146, 2069, 543, 23793, 543, 30393, 11558, 269, 4173, 6612, 568, 21528, 2244, 14935, 538, 7863, 741, 2067, 543, 6694, 3338, 282, 1352, 814, 3573, 1702, 543, 1995, 538, 2244, 11601, 543, 8897, 618, 3292, 267, 543, 824, 5726, 24539, 3292, 602, 666, 4217, 2244, 14935, 543, 3035, 5726, 3853, 269, 7325, 773, 6039, 607, 513, 13458, 17620, 21816, 17621, 538, 519, 29401, 6243, 543, 814, 5249, 538, 5726, 543, 6917, 1646, 538, 5824, 3013, 543, 6239, 5607, 7325, 773, 6585, 513, 9457, 779, 4110, 538, 13812, 17905, 543, 11094, 689, 519, 2160, 540, 8419, 563, 293, 27509, 20943, 2284, 540, 7909, 4045, 832, 669, 1846, 827, 12352, 267, 2679, 513, 1979, 5991, 1049, 2069, 4674, 609, 715, 599, 541, 527, 267, 6792, 267, 543, 10647, 3292, 693, 5842, 17630, 7345, 2817, 13812, 25083, 563, 2171, 2125, 924, 1107, 8940, 269, 334, 4117, 6618, 832, 3820, 454, 292, 1723, 307, 2293, 910, 4179, 2517, 334, 4117, 6618, 832, 3820, 27160, 1723, 2389, 2293, 454, 5970, 606, 12558, 2856, 286, 27189, 707, 12334, 547, 4757, 11333, 2593, 2336, 5353, 531, 16047, 2817, 13812, 25083, 568, 4092, 593, 513, 13108, 3490, 538, 21060, 6019, 267, 11404, 269, 4911, 773, 24125, 12909, 547, 9675, 9614, 25599, 715, 6614, 827, 1569, 267, 4683, 12352, 267, 543, 1010, 1378, 2619, 689, 519, 4108, 547, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 563, 288, 787, 333, 5487, 24154, 651, 267, 15445, 10615, 540, 14886, 540, 966, 4150, 632, 744, 549, 715, 29949, 267, 669, 1846, 609, 4911, 773, 24125, 827, 2679, 606, 4683, 7320, 9675, 689, 519, 2666, 909, 267, 543, 519, 2956, 540, 2146, 3403, 543, 6278, 563, 19400, 519, 5767, 3381, 827, 966, 4150, 632, 744, 549, 2817, 13812, 25083, 1934, 281, 4179, 2517, 344, 719, 340, 269, 2041, 270, 340, 302, 344, 289, 313, 298, 279, 16703, 30438, 454, 10144, 1921, 609, 2470, 538, 741, 1378, 1259, 282, 2436, 621, 779, 3168, 856, 741, 10051, 6885, 610, 30618, 532, 538, 519, 19069, 269, 1284, 782, 723, 513, 4276, 547, 2470, 543, 12624, 3047, 269, 6258, 811, 827, 7320, 1201, 1872, 525, 543, 741, 3292, 538, 5045, 7147, 543, 519, 20279, 3148, 602, 10742, 2146, 1141, 789, 616, 563, 305, 1442, 344, 13738, 1488, 11420, 531, 2817, 13812, 25083, 13216, 1869, 15109, 3294, 513, 960, 538, 3356, 543, 14767, 547, 581, 513, 30856, 4683, 3084, 7320, 9675, 538, 519, 28631, 5450, 549, 9351, 269, 634, 13216, 2882, 519, 1488, 11420, 531, 267, 27743, 4469, 1846, 543, 5565, 623, 4637, 2817, 13812, 4676, 1872, 525, 543, 568, 1753, 547, 7366, 540, 5065, 7320, 2249, 1519, 536, 2581, 267, 24052, 32608, 267, 27436, 5152, 18346, 267, 31352, 4925, 267, 1804, 2173, 1926, 18369, 267, 547, 2012, 513, 1906, 269, 1306, 835, 540, 519, 4102, 4683, 7320, 1201, 1872, 525, 538, 519, 2136, 2276, 267, 772, 2529, 269, 12551, 543, 13812, 6796, 5234, 693, 519, 25083, 616, 2921, 2962, 547, 4894, 2168, 543, 9228, 7496, 543, 10115, 538, 2069, 543, 23793, 3646, 538, 1931, 547, 581, 513, 3020, 7221, 543, 7649, 585, 519, 2146, 563, 295, 629, 18945, 1772, 7316, 898, 779, 2311, 256, 22062, 566, 609, 20550, 1695, 2904, 326, 31678, 540, 519, 2160, 540, 1715, 20252, 563, 2026, 519, 10615, 540, 26066, 4065, 14691, 267, 20550, 1695, 568, 538, 5279, 540, 1034, 4238, 693, 26066, 4065, 3194, 11120, 1006, 630, 290, 2207, 293, 264, 1519, 25640, 609, 7649, 2516, 267, 4058, 2238, 585, 9886, 30845, 2516, 267, 4509, 519, 2679, 267, 543, 865, 1454, 811, 563, 288, 6643, 609, 32065, 6938, 781, 12124, 25083, 5358, 910, 20717, 4563, 6229, 267, 4911, 773, 24125, 1299, 13225, 1173, 822, 328, 10127, 636, 19441, 827, 4683, 7320, 1201, 1872, 525, 543, 519, 25083, 5948, 781, 3646, 547, 6318, 519, 9043, 540, 476, 1691, 2475, 293, 16703, 11280, 4683, 7320, 1201, 1872, 525, 269, 19415, 543, 1451, 875, 891, 3552, 4025, 616, 3501, 585, 5275, 24176, 543, 4708, 593, 1857, 3338, 2673, 547, 4683, 7740, 949, 581, 6251, 982, 596, 1589, 269, 0, 20694, 6387, 16803, 910, 27050, 22216, 852, 630, 1220, 276, 994, 6637, 476, 3451, 269, 20796, 16775, 717, 7495, 14877, 6730, 6167, 294, 7495, 14877, 454, 4002, 4873, 476, 274, 267, 476, 9692, 280, 267, 6276, 16803, 5747, 593, 519, 1507, 267, 15027, 6532, 540, 853, 269, 27673, 267, 2348, 2451, 519, 1256, 17646, 1512, 7404, 6532, 540, 2142, 638, 807, 8370, 1296, 4505, 269, 1261, 1131, 723, 1044, 827, 32210, 1296, 2025, 269, 634, 6830, 17480, 540, 519, 9632, 16803, 1185, 2760, 4824, 267, 543, 646, 8694, 909, 16290, 593, 513, 26481, 6532, 602, 1185, 14754, 15265, 32012, 885, 1282, 519, 3105, 2185, 1296, 269, 18786, 538, 476, 9692, 276, 267, 5065, 2961, 756, 338, 17736, 1600, 609, 3943, 11317, 547, 8141, 606, 32574, 593, 519, 3703, 6532, 269, 3509, 13896, 941, 2527, 659, 1042, 543, 4006, 24914, 14616, 1354, 3703, 10136, 14697, 958, 2322, 1524, 519, 1202, 18675, 269, 901, 1590, 723, 3177, 513, 31029, 20457, 585, 519, 2063, 1296, 540, 519, 13927, 1076, 267, 10172, 16803, 269, 12138, 779, 5821, 547, 1294, 6276, 16803, 1282, 519, 2063, 13977, 21144, 1296, 540, 1010, 1272, 12651, 606, 1168, 519, 2243, 540, 2436, 646, 729, 2731, 12138, 779, 6211, 4651, 610, 2436, 12138, 3274, 5433, 9813, 730, 689, 513, 7184, 30096, 2385, 945, 1185, 9390, 539, 519, 1920, 543, 2451, 1864, 29152, 539, 1310, 1010, 3993, 779, 2669, 269, 12344, 16803, 729, 1932, 11112, 585, 513, 7552, 1394, 547, 519, 10195, 269, 21894, 519, 5168, 540, 713, 535, 987, 558, 1652, 1650, 267, 16803, 1185, 6867, 3814, 569, 3177, 1010, 4651, 609, 2883, 5351, 267, 5111, 1079, 1121, 8636, 1734, 829, 1032, 267, 1318, 909, 2394, 1010, 2063, 8569, 693, 8285, 476, 9692, 279, 563, 12024, 1082, 1582, 2987, 1203, 539, 11082, 267, 16803, 1185, 11207, 543, 9048, 22106, 2406, 1065, 644, 7007, 1010, 2250, 269, 1261, 2760, 859, 514, 1027, 519, 13581, 652, 7287, 547, 30603, 519, 20807, 338, 540, 1010, 2038, 1272, 267, 543, 1010, 909, 32523, 7283, 513, 9184, 5622, 1888, 269, 8616, 6689, 10207, 949, 723, 4797, 547, 2681, 519, 1259, 646, 4718, 1919, 267, 2523, 8474, 269, 1635, 519, 942, 646, 2451, 519, 27308, 538, 476, 9692, 276, 267, 8474, 1185, 13175, 547, 973, 27827, 538, 1715, 4789, 543, 519, 4571, 268, 4263, 23007, 2829, 269, 29049, 6816, 267, 28599, 267, 12590, 267, 1715, 24900, 267, 12425, 267, 543, 21086, 1185, 4956, 547, 13373, 880, 621, 269, 3117, 30679, 28204, 7508, 941, 1715, 3840, 543, 1715, 14948, 269, 1924, 538, 5130, 476, 9692, 279, 267, 16803, 759, 25390, 1010, 7681, 609, 519, 1715, 3840, 2494, 636, 2153, 5980, 267, 1010, 2123, 30901, 2348, 561, 17863, 1282, 1010, 15740, 1296, 269, 5082, 539, 835, 540, 922, 2185, 3656, 9666, 619, 267, 646, 5280, 9718, 1863, 17051, 950, 10553, 18544, 689, 856, 540, 1533, 6216, 1639, 12014, 540, 9042, 543, 6836, 547, 2879, 2255, 873, 1055, 519, 1715, 3840, 10754, 563, 1103, 476, 9692, 280, 267, 519, 2486, 10150, 513, 15999, 11802, 950, 519, 7361, 8549, 626, 13909, 267, 13359, 2059, 5428, 3515, 267, 3526, 539, 519, 16795, 20552, 540, 8474, 538, 1715, 3840, 3557, 676, 513, 8917, 540, 24239, 32732, 547, 8938, 31644, 269, 630, 288, 16336, 8738, 337, 267, 1498, 646, 17477, 1010, 1378, 10553, 1303, 5971, 585, 1082, 1296, 267, 8919, 539, 547, 519, 8549, 626, 5354, 4700, 1635, 476, 5197, 275, 267, 1715, 14948, 1185, 4553, 1715, 3840, 779, 1383, 267, 1028, 1005, 602, 519, 5087, 1131, 970, 597, 335, 622, 519, 2259, 936, 519, 1985, 5108, 267, 4543, 547, 1305, 519, 3942, 585, 519, 6406, 2782, 269, 769, 519, 7013, 2829, 267, 609, 741, 3728, 21212, 10553, 2551, 543, 519, 8798, 540, 519, 10412, 575, 514, 267, 8474, 2968, 811, 538, 518, 19631, 762, 269, 8409, 27428, 581, 342, 17097, 676, 519, 14810, 602, 8474, 1131, 7444, 28201, 2476, 941, 1373, 9863, 4636, 269, 26062, 1296, 1310, 1715, 3840, 4956, 547, 1439, 8474, 267, 16962, 267, 23885, 267, 543, 3933, 19172, 1869, 804, 2426, 547, 971, 7787, 3074, 267, 6031, 267, 585, 3236, 267, 602, 952, 8474, 941, 6905, 883, 519, 1007, 7262, 2829, 267, 621, 1131, 14020, 543, 5884, 563, 295, 15071, 779, 2012, 5186, 5529, 909, 30122, 538, 519, 2494, 636, 2153, 5980, 3764, 585, 922, 4728, 476, 9692, 280, 5870, 269, 634, 2486, 729, 3843, 547, 3094, 519, 5191, 540, 513, 10553, 3957, 8861, 267, 945, 1185, 1044, 4547, 547, 1715, 3840, 689, 15930, 269, 898, 5828, 856, 267, 547, 16803, 779, 19849, 14536, 267, 602, 1352, 20705, 547, 1010, 7015, 2987, 25237, 3627, 31661, 518, 5783, 269, 634, 3764, 9206, 3022, 713, 26101, 25896, 1510, 21107, 6085, 281, 968, 288, 314, 20426, 16803, 729, 8665, 585, 5783, 538, 519, 1870, 1848, 272, 3627, 543, 19664, 3821, 5783, 1185, 20399, 16803, 547, 6718, 10437, 585, 873, 1354, 741, 2132, 547, 1715, 3840, 269, 2311, 519, 1985, 5870, 267, 621, 729, 4080, 602, 519, 932, 11699, 1185, 10393, 2016, 8861, 1200, 5191, 269, 901, 10071, 18791, 519, 554, 4875, 602, 835, 610, 1312, 540, 519, 7805, 8100, 547, 10553, 16306, 538, 16803, 779, 6666, 9248, 585, 476, 9692, 277, 543, 476, 9692, 278, 5219, 547, 16306, 585, 519, 932, 11699, 267, 711, 585, 5128, 269, 1635, 3735, 476, 9692, 276, 267, 649, 11291, 267, 16803, 729, 2907, 10122, 585, 8027, 585, 1010, 13059, 14077, 563, 763, 2494, 636, 2153, 5980, 779, 960, 729, 2484, 689, 936, 269, 898, 10443, 513, 1153, 585, 835, 4627, 3109, 1453, 267, 3450, 873, 10259, 267, 2542, 267, 1603, 267, 543, 12980, 269, 898, 849, 1486, 6479, 606, 5051, 1455, 2259, 281, 1715, 3840, 10553, 6868, 941, 4931, 28124, 1533, 4031, 676, 13143, 532, 10437, 547, 519, 5045, 267, 689, 1141, 789, 941, 11843, 547, 519, 4639, 4095, 4006, 24914, 602, 16803, 1185, 1634, 607, 513, 7911, 269, 16803, 15189, 547, 6749, 1010, 9525, 538, 519, 2494, 636, 2153, 5980, 1256, 607, 1010, 556, 852, 333, 8057, 543, 1010, 19647, 27723, 16611, 269, 1261, 6854, 909, 1010, 4276, 607, 513, 3656, 9666, 518, 2394, 1010, 2669, 269, 12984, 713, 5310, 1010, 2123, 1259, 540, 14344, 519, 2250, 676, 6439, 4328, 519, 21440, 602, 1185, 11303, 1010, 2038, 1296, 888, 295, 15071, 779, 24431, 18561, 960, 538, 519, 3735, 476, 9692, 271, 338, 729, 17704, 1194, 676, 4432, 21289, 779, 3395, 17933, 593, 15773, 540, 8589, 543, 15125, 16967, 6577, 1004, 267, 960, 602, 729, 547, 20441, 519, 2063, 3368, 2540, 540, 1200, 1272, 269, 5221, 4432, 21289, 16803, 729, 513, 16434, 267, 1582, 3887, 742, 5217, 4807, 945, 15151, 10032, 1200, 1378, 5022, 543, 6836, 547, 1163, 25128, 1200, 4527, 689, 519, 1686, 2835, 267, 519, 3196, 540, 1200, 7209, 543, 519, 9588, 540, 1200, 9295, 723, 1044, 15763, 269, 4173, 5067, 12138, 267, 12789, 1421, 2899, 4330, 1200, 607, 968, 516, 5658, 762, 585, 838, 2431, 17349, 543, 642, 643, 13369, 1848, 273, 4173, 21722, 960, 547, 14867, 519, 7092, 540, 519, 4057, 814, 1044, 782, 855, 16618, 269, 968, 9515, 729, 513, 1034, 7118, 652, 267, 17615, 267, 543, 10995, 4807, 2223, 1767, 1200, 5067, 6276, 269, 968, 15463, 4497, 906, 607, 513, 9030, 540, 519, 654, 573, 3298, 5980, 543, 2107, 23782, 1306, 23796, 941, 538, 947, 656, 1848, 274, 454, 763 ]

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

[ 9547, 543, 1978, 2188, 2014, 2816, 27025, 8351, 269, 1703, 568, 849, 513, 3381, 1383, 540, 875, 621, 782, 1568, 538, 6384, 269, 769, 782, 16904, 2436, 4357, 610, 1533, 11262, 267, 8404, 4249, 513, 1883, 1909, 538, 6117, 5520, 2509, 8236, 741, 3853, 267, 10721, 3853, 543, 547, 513, 1978, 6708, 519, 9909, 540, 741, 6082, 269, 5381, 885, 540, 16549, 869, 543, 4173, 345, 6199, 7869, 540, 31802, 269, 1717, 267, 4173, 345, 6199, 779, 3069, 568, 4922, 15197, 543, 1031, 2066, 1082, 11890, 269, 634, 824, 7121, 540, 2188, 729, 1644, 547, 2048, 1492, 991, 547, 2057, 18473, 1145, 8730, 543, 729, 1634, 607, 9882, 2188, 269, 4173, 345, 6199, 4951, 602, 9045, 529, 8351, 543, 19837, 15384, 8351, 693, 960, 2097, 689, 1114, 2188, 898, 568, 2009, 547, 5352, 3350, 630, 1326, 1154, 2576, 547, 798, 1945, 264, 998, 918, 3951, 288, 812, 613, 618, 269, 901, 3069, 267, 849, 1572, 519, 31802, 6953, 344, 8958, 7869, 610, 519, 12242, 29969, 3069, 267, 729, 4050, 2740, 676, 19291, 4173, 345, 6199, 538, 476, 4198, 280, 269, 901, 1977, 18673, 267, 945, 729, 1360, 5461, 538, 1004, 781, 8404, 543, 2816, 9547, 267, 3357, 909, 2560, 4635, 16549, 869, 781, 15796, 540, 2115, 543, 4173, 345, 6199, 781, 8404, 268, 1506, 8958, 1139, 3789, 267, 713, 2754, 7135, 519, 13766, 547, 5000, 2500, 7607, 540, 922, 5520, 547, 1683, 3608, 3028, 547, 6800, 269, 4173, 345, 6199, 729, 519, 1101, 547, 1397, 602, 9547, 543, 27025, 8351, 693, 960, 5176, 2141, 21256, 689, 1114, 2188, 267, 543, 941, 711, 3274, 15852, 6547, 547, 519, 1482, 2188, 267, 607, 1185, 2141, 5892, 1044, 5156, 269, 31802, 2188, 3769, 9740, 267, 6284, 267, 519, 960, 3294, 267, 5539, 267, 13120, 543, 519, 7872, 585, 2208, 630, 15463, 345, 6199, 267, 476, 3422, 277, 282, 4173, 345, 6199, 267, 476, 1220, 274, 1040, 1452, 1079, 5036, 540, 2188, 616, 20102, 4830, 269, 634, 1079, 29969, 3069, 630, 10193, 1634, 607, 4173, 345, 6199, 779, 8404, 268, 1506, 8958, 3069, 264, 2829, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 2014, 2816, 9547, 267, 1247, 513, 5094, 1305, 540, 2188, 2014, 27025, 8351, 269, 20307, 543, 16797, 630, 1220, 274, 264, 25077, 602, 513, 4999, 540, 8404, 543, 9882, 2188, 1223, 581, 1031, 538, 7893, 8404, 543, 602, 513, 2816, 1164, 538, 8404, 543, 9882, 2188, 5012, 547, 1164, 8404, 543, 1906, 20286, 1851, 5520, 269, 4340, 547, 3223, 26710, 630, 1220, 274, 1070, 31802, 568, 835, 540, 519, 1034, 16041, 17205, 538, 519, 2296, 1893, 269, 769, 1250, 3105, 2816, 594, 1705, 711, 1205, 6976, 5781, 269, 4173, 345, 6199, 779, 7869, 540, 31802, 13290, 547, 1205, 547, 519, 3597, 540, 8404, 538, 519, 9036, 269, 670, 1173, 773, 630, 1220, 277, 264, 849, 20401, 539, 547, 713, 4214, 19163, 602, 2043, 616, 676, 2470, 3804, 9141, 543, 602, 1004, 960, 7683, 2509, 17598, 741, 9228, 2115, 676, 1106, 6819, 543, 13197, 3853, 269, 634, 1079, 29969, 3069, 630, 10193, 1634, 607, 4173, 345, 6199, 781, 8404, 268, 1506, 8958, 3069, 543, 12242, 29969, 3069, 264, 2829, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 2014, 2816, 9547, 1247, 513, 5094, 1305, 540, 2188, 2014, 27025, 8351, 267, 782, 540, 799, 957, 10446, 540, 1142, 824, 269, 3689, 5941, 538, 476, 4198, 280, 779, 31802, 547, 4518, 267, 1010, 9565, 5565, 16748, 7869, 630, 10440, 30719, 5336, 582, 10474, 7869, 264, 3964, 875, 9036, 2188, 666, 1764, 938, 8404, 2157, 538, 1079, 1360, 1114, 2081, 269, 1703, 616, 1082, 6436, 540, 8404, 602, 9946, 723, 13986, 547, 2936, 269, 1703, 616, 1614, 1292, 3069, 6688, 267, 12077, 1543, 6436, 267, 1184, 6436, 543, 4207, 519, 12929, 2507, 18412, 630, 1220, 274, 264, 3989, 8404, 607, 519, 3196, 602, 4384, 919, 543, 11479, 519, 6024, 3498, 540, 1995, 267, 6791, 543, 1983, 269, 589, 2673, 6514, 540, 4173, 345, 6199, 779, 2203, 6920, 602, 585, 1346, 5520, 945, 723, 6913, 513, 1377, 540, 1514, 543, 2804, 3356, 538, 519, 2486, 267, 2362, 7400, 2115, 540, 16549, 869, 779, 2203, 630, 652, 9851, 543, 1582, 19840, 783, 1436, 264, 616, 519, 3119, 4665, 2209, 269, 5565, 29969, 3069, 17950, 901, 2376, 6663, 547, 2689, 4173, 345, 6199, 779, 1079, 29969, 3069, 547, 9441, 8404, 538, 2221, 779, 16904, 269, 769, 713, 2796, 267, 519, 1353, 729, 5342, 13296, 519, 2833, 543, 4606, 540, 476, 1220, 8030, 543, 2272, 1218, 941, 9916, 269, 1703, 616, 1082, 6436, 540, 8404, 267, 543, 789, 6140, 2285, 513, 6935, 610, 3310, 519, 4093, 540, 9441, 2816, 9547, 269, 769, 476, 4198, 280, 4173, 345, 6199, 5206, 519, 1739, 3730, 2370, 8360, 267, 799, 2337, 2491, 713, 4909, 851, 540, 1010, 3069, 269, 19291, 4173, 345, 6199, 634, 9882, 8404, 3069, 6056, 518, 476, 9826, 19291, 4173, 345, 6199, 630, 4572, 274, 268, 1220, 271, 264, 729, 513, 2475, 4791, 18673, 945, 2663, 2968, 7905, 540, 5004, 693, 18096, 2160, 269, 3367, 713, 2376, 1631, 547, 1451, 875, 547, 4019, 621, 538, 2259, 269, 5565, 16748, 7763, 643, 1049, 7869, 4658, 616, 6766, 676, 1079, 2188, 281, 4173, 345, 6199, 779, 8404, 3069, 568, 835, 540, 519, 1543, 6436, 540, 8404, 269, 834, 2171, 666, 4228, 3267, 676, 17548, 602, 519, 2816, 6916, 4536, 4308, 609, 519, 2188, 3238, 538, 3257, 519, 2816, 267, 6466, 519, 2816, 27025, 325, 4536, 4308, 609, 519, 2188, 799, 5581, 519, 2816, 2796, 1701, 901, 729, 19430, 676, 1010, 20171, 547, 519, 667, 778, 879, 2201, 519, 2470, 540, 5316, 1081, 531, 13742, 538, 12007, 1382, 281, 4173, 345, 6199, 781, 1079, 29969, 3069, 540, 960, 8404, 269, 634, 1482, 6585, 3020, 585, 4173, 345, 6199, 779, 3312, 1382, 1374, 267, 799, 568, 1869, 1031, 676, 1699, 3173, 782, 1472, 519, 1158, 547, 2932, 2090, 593, 9036, 8404, 630, 305, 3578, 1678, 3019, 543, 29142, 684, 331, 3570, 476, 1220, 274, 267, 23111, 6242, 4345, 543, 5576, 30591, 12027, 779, 476, 1220, 273, 267, 7033, 332, 516, 1188, 476, 1220, 272, 1040, 4750, 540, 27706, 10017, 2073, 476, 2004, 263, 272, 1070, 6032, 269, 274, 268, 1691, 269, 19291, 4173, 345, 6199, 779, 5565, 6363, 18503, 7869, 267, 849, 1634, 607, 31802, 6953, 344, 8958, 7869, 610, 17271, 5288, 269, 16312, 13917, 8404, 267, 20147, 602, 972, 616, 1978, 2188, 538, 519, 9036, 602, 666, 2014, 2816, 9547, 543, 513, 5094, 1305, 540, 2188, 602, 666, 2014, 27025, 8351, 269, 1703, 568, 513, 1390, 16726, 1063, 16549, 869, 779, 543, 4173, 345, 6199, 779, 3631, 540, 8404, 269, 19291, 4173, 345, 6199, 543, 1010, 5234, 1759, 741, 8404, 587, 499, 1506, 8958, 3069, 593, 513, 3099, 540, 1480, 2115, 543, 4294, 621, 547, 513, 4640, 540, 2816, 23918, 602, 814, 4922, 6766, 8404, 543, 2816, 1374, 2994, 269, 0, 1103, 519, 2136, 2276, 267, 7429, 4683, 3270, 538, 1082, 824, 2477, 267, 6418, 4872, 2066, 519, 4182, 723, 1279, 8659, 6760, 1102, 6479, 1793, 4548, 4652, 527, 585, 1480, 3110, 2787, 563, 4407, 1454, 540, 519, 1977, 2551, 11099, 519, 2136, 2276, 568, 834, 1492, 6574, 4182, 593, 3618, 2437, 834, 577, 4923, 257, 543, 25552, 609, 834, 684, 1664, 257, 7326, 630, 320, 6249, 602, 4991, 6404, 8039, 689, 4914, 24319, 1070, 1906, 28429, 713, 23904, 5075, 2965, 2661, 538, 3013, 781, 4683, 1793, 4548, 269, 8616, 891, 2175, 616, 267, 538, 1249, 267, 851, 540, 834, 1492, 1977, 1259, 540, 1272, 4799, 10702, 267, 519, 1360, 1249, 602, 891, 2175, 723, 30174, 865, 1279, 6920, 602, 741, 1483, 3123, 723, 930, 2620, 4276, 10502, 609, 519, 4890, 1543, 540, 834, 1492, 1977, 1259, 540, 1272, 2437, 538, 519, 3029, 621, 814, 1279, 3144, 563, 2467, 814, 1044, 513, 3765, 24483, 607, 547, 1018, 834, 637, 7808, 2127, 257, 2965, 616, 269, 1358, 616, 711, 3274, 4025, 1141, 1004, 834, 637, 728, 257, 547, 4163, 593, 741, 1459, 2729, 282, 789, 616, 4025, 1141, 519, 2104, 568, 8032, 998, 519, 23462, 540, 593, 268, 5765, 5481, 269, 901, 1797, 1582, 21553, 1137, 267, 20030, 267, 3853, 267, 543, 18144, 269, 1763, 7808, 2127, 9742, 519, 2104, 17114, 540, 21939, 883, 519, 834, 10852, 6894, 257, 5288, 269, 1514, 2619, 3098, 267, 1519, 3075, 8213, 543, 10795, 6760, 267, 609, 2640, 610, 3790, 547, 2486, 693, 1804, 14178, 5756, 883, 519, 2104, 563, 288, 2101, 851, 540, 23462, 568, 1909, 3631, 269, 2290, 10421, 540, 13998, 22510, 2950, 734, 638, 924, 3622, 267, 855, 711, 2141, 734, 529, 1909, 3631, 540, 1647, 11665, 2010, 267, 17618, 22885, 267, 543, 8754, 6404, 13867, 16973, 267, 610, 693, 2547, 21084, 540, 5230, 9830, 540, 519, 9803, 5049, 269, 901, 1514, 1249, 568, 4922, 6444, 538, 1454, 540, 5375, 2342, 563, 4910, 7808, 3270, 616, 513, 5458, 3815, 7133, 519, 1915, 540, 1857, 3506, 269, 769, 519, 2136, 2276, 267, 1082, 540, 519, 9620, 547, 6963, 6418, 2275, 640, 1857, 3506, 723, 5059, 593, 519, 3506, 543, 3610, 543, 8854, 1932, 2484, 538, 1025, 5446, 873, 585, 519, 17016, 267, 1775, 4318, 269, 4057, 2875, 2773, 267, 1510, 19249, 835, 519, 1883, 11378, 267, 10821, 3270, 267, 799, 1379, 2685, 3310, 519, 2528, 540, 3237, 543, 1053, 269, 15316, 540, 891, 1153, 3146, 845, 3646, 723, 4294, 9645, 2200, 267, 543, 1951, 935, 1014, 15569, 540, 3610, 267, 855, 1287, 3812, 1152, 8792, 9283, 538, 2875, 2773, 734, 20357, 540, 3668, 540, 2875, 8404, 269, 901, 666, 581, 14360, 267, 538, 1804, 2268, 267, 547, 519, 1909, 3631, 602, 7173, 841, 3544, 519, 4928, 269, 28740, 2275, 640, 1053, 4043, 547, 1589, 543, 13789, 8335, 689, 1647, 11665, 1053, 1317, 789, 941, 711, 6659, 538, 1647, 11665, 16973, 563, 1103, 519, 2136, 2276, 267, 5103, 782, 519, 8977, 999, 689, 3288, 23579, 345, 1922, 18311, 689, 519, 561, 279, 3199, 781, 998, 519, 1715, 268, 5719, 531, 5736, 543, 3564, 267, 543, 1247, 7292, 7130, 814, 1044, 9619, 676, 9086, 543, 519, 10470, 267, 972, 814, 1044, 2370, 4683, 1514, 4058, 538, 8901, 2474, 547, 2569, 3665, 2804, 17478, 538, 10821, 3270, 563, 763, 3668, 540, 971, 1514, 4058, 3330, 519, 2136, 2276, 814, 1279, 13684, 3790, 267, 538, 930, 2665, 11999, 3790, 267, 2390, 824, 6082, 267, 585, 835, 540, 519, 4102, 6990, 585, 2182, 5061, 814, 1279, 1044, 538, 519, 6418, 4872, 540, 519, 2136, 2276, 269, 634, 3790, 538, 12052, 543, 6792, 723, 3769, 18272, 5209, 676, 3075, 14228, 338, 540, 5458, 2338, 540, 29752, 2199, 7128, 8069, 267, 16488, 267, 543, 824, 8387, 563, 25567, 753, 4043, 547, 8263, 602, 2489, 2804, 13884, 834, 331, 22284, 782, 16996, 1701, 1809, 538, 519, 2063, 3368, 540, 519, 476, 736, 628, 2540, 2175, 538, 1977, 6418, 4872, 8057, 8338, 267, 1317, 540, 1079, 1390, 2242, 538, 1977, 2486, 912, 5575, 267, 7372, 9271, 540, 5663, 6009, 7018, 267, 1317, 540, 2804, 1646, 538, 824, 2694, 540, 519, 1158, 267, 6028, 606, 1977, 834, 6412, 12966, 257, 540, 10969, 730, 2950, 563, 13553, 267, 519, 1977, 3540, 2924, 4838, 540, 519, 476, 3422, 271, 781, 4847, 1647, 11665, 2349, 2931, 547, 1847, 689, 6418, 2275, 640, 575, 515, 1777, 657, 856, 547, 1016, 31755, 269, 2776, 16227, 267, 1082, 540, 891, 6418, 2275, 640, 575, 515, 1777, 657, 1185, 513, 3818, 11665, 1915, 267, 607, 11609, 676, 519, 834, 19604, 12661, 11193, 257, 540, 519, 476, 4572, 271, 781, 543, 824, 2147, 2950, 269, 1809, 607, 519, 6821, 540, 7292, 17478, 941, 24905, 1194, 267, 713, 856, 2173, 12568, 2451, 3297, 18219, 543, 18219, 9830, 540, 519, 9803, 5049, 538, 6418, 4872, 269, 1977, 1857, 4507, 1705, 2370, 547, 22771, 585, 519, 1967, 540, 519, 3540, 8573, 2074, 4838, 269, 634, 1360, 10206, 540, 834, 4818, 839, 908, 257, 585, 834, 338, 15471, 257, 568, 2352, 585, 4892, 547, 9787, 267, 1317, 540, 741, 630, 332, 529, 7666, 3660, 264, 5132, 538, 21245, 4229, 538, 2486, 563, 1432, 1058, 2944, 912, 263, 272, 264, 8844, 519, 4346, 547, 1164, 2157, 540, 2489, 7694, 563, 263, 273, 264, 30771, 946, 540, 1857, 7482, 547, 3895, 882, 6327, 540, 1004, 856, 540, 20158, 2127, 267, 1519, 20158, 4683, 2127, 267, 547, 4025, 267, 2282, 610, 2484, 267, 1141, 6009, 616, 811, 726, 550, 3814, 563, 263, 274, 264, 30771, 2866, 543, 1427, 20995, 282, 543, 267, 547, 713, 1439, 267, 13373 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14112, 1557, 593, 5539, 540, 2875, 454, 763, 5539, 547, 2149, 568, 19493, 6304, 676, 1776, 2012, 4367, 519, 3948, 4016, 547, 519, 2165, 5539, 547, 2149, 922, 5095, 689, 21393, 267, 2112, 10963, 267, 6803, 26349, 543, 10963, 1996, 8103, 713, 5539, 14122, 519, 6604, 540, 971, 10963, 267, 1519, 741, 1651, 924, 6497, 267, 998, 3617, 543, 6054, 2147, 547, 5539, 547, 2149, 1557, 5539, 547, 2149, 281, 4101, 13210, 540, 1480, 2924, 1876, 269, 1548, 568, 2875, 5539, 2875, 5539, 4386, 950, 1053, 1491, 606, 3742, 1909, 538, 741, 1565, 676, 9301, 789, 616, 18177, 585, 741, 11645, 543, 9021, 540, 513, 2875, 1272, 568, 2110, 267, 513, 2875, 1590, 2226, 513, 3280, 1560, 538, 1931, 547, 2226, 513, 3280, 1072, 621, 568, 519, 1053, 2110, 1557, 593, 5539, 540, 513, 2875, 945, 1058, 22738, 519, 5539, 540, 8165, 713, 568, 513, 2110, 7650, 540, 519, 1883, 2489, 11645, 1557, 593, 11645, 543, 9021, 540, 269, 634, 9021, 540, 606, 4998, 2875, 519, 3483, 540, 2069, 568, 547, 3132, 4998, 7606, 547, 3068, 519, 9021, 540, 519, 2104, 713, 2832, 666, 563, 32487, 910, 4102, 6538, 540, 2298, 3732, 3594, 543, 1382, 4574, 593, 1250, 5539, 607, 513, 2875, 269, 2353, 5533, 835, 1557, 29907, 14994, 3435, 1557, 476, 1408, 1206, 18186, 739, 5856, 781, 3625, 1557, 909, 18792, 3498, 1557, 5439, 579, 342, 325, 1018, 568, 6725, 1557, 6752, 3017, 1063, 1079, 4529, 1557, 1557, 2197, 2749, 2713, 7997, 3584, 585, 3860, 1603, 7005, 3308, 1557, 585, 1250, 19033, 2915, 21604, 1557, 593, 521, 4461, 2426, 2754, 1514, 5539, 269, 13786, 4850, 540, 1434, 2875, 9021, 540, 1434, 2875, 281, 1053, 616, 2141, 1394, 5642, 540, 513, 2486, 621, 568, 1271, 9021, 540, 513, 2875, 547, 3343, 1702, 543, 3035, 1010, 4247, 609, 2407, 1990, 7002, 543, 1990, 652, 2182, 960, 568, 519, 1883, 547, 1967, 30493, 568, 6913, 998, 2182, 960, 530, 578, 8799, 1557, 586, 541, 737, 5984, 22678, 520, 646, 530, 1695, 544, 18054, 989, 1092, 646, 3777, 269, 3776, 5539, 538, 938, 1272, 1557, 513, 266, 3817, 281, 273, 1913, 281, 26493, 713, 568, 1175, 513, 3732, 547, 1205, 513, 2189, 1557, 16926, 5856, 4647, 281, 23486, 2703, 343, 649, 786, 2328, 513, 2688, 1557, 3732, 593, 938, 5539, 538, 938, 1272, 4481, 585, 596, 585, 1152, 1269, 14321, 279, 1269, 16928, 5539, 540, 519, 2875, 607, 513, 15226, 568, 1565, 1134, 267, 798, 1753, 960, 602, 814, 1044, 2016, 547, 873, 267, 9015, 538, 4881, 519, 1153, 3652, 713, 1797, 602, 1142, 2875, 568, 2838, 547, 5645, 856, 11613, 519, 9021, 563, 291, 583, 625, 543, 5539, 540, 519, 4387, 519, 7189, 2061, 519, 15435, 2550, 621, 568, 519, 960, 540, 519, 10629, 1034, 540, 519, 1004, 7092, 689, 519, 3676, 543, 519, 4387, 5539, 616, 547, 1265, 519, 10826, 540, 1346, 3676, 269, 4828, 5539, 540, 513, 1053, 9921, 1966, 1126, 1557, 948, 20410, 1557, 3584, 827, 1390, 21099, 3332, 1557, 7328, 568, 6752, 2556, 2110, 1557, 593, 1250, 9909, 2055, 1382, 1557, 3028, 1655, 5539, 1557, 1383, 1250, 2197, 4731, 904, 1014, 513, 1434, 1382, 1557, 593, 1250, 630, 331, 913, 3860, 1603, 1032, 476, 273, 3211, 264, 12103, 676, 12031, 1279, 5647, 1557, 1603, 7270, 269, 4828, 2648, 707, 1604, 1651, 8675, 2495, 540, 12031, 5967, 16724, 1557, 16724, 2079, 1895, 875, 547, 1376, 606, 1557, 585, 513, 14172, 1535, 7901, 835, 2069, 568, 519, 1152, 1259, 856, 540, 6710, 1557, 1603, 269, 5272, 2875, 1058, 723, 519, 1697, 1702, 827, 519, 11645, 543, 5539, 1100, 2875, 2479, 1140, 1622, 1360, 900, 5799, 1967, 676, 3274, 3257, 1018, 2838, 540, 1864, 281, 621, 568, 519, 2179, 543, 17284, 540, 1018, 568, 936, 267, 1007, 1032, 476, 1001, 280, 1557, 538, 7005, 585, 1053, 268, 1224, 1934, 910, 1557, 593, 1007, 1032, 6126, 1007, 1032, 476, 1001, 279, 519, 1007, 1032, 568, 9976, 782, 936, 519, 1158, 609, 1390, 15131, 543, 1187, 4505, 267, 1775, 553, 1957, 6398, 6398, 563, 10666, 8885, 1557, 585, 2875, 5539, 476, 271, 476, 1001, 279, 270, 1015, 270, 3066, 1557, 593, 1250, 5172, 9413, 596, 14654, 828, 1557, 1533, 540, 2247, 29863, 632, 28852, 1557, 2575, 543, 803, 1560, 1557, 1806, 827, 6517, 7874, 1250, 1604, 1557, 6564, 2110, 1557, 3732, 827, 1272, 909, 2675, 981, 1557, 3060, 3354, 12222, 827, 1250, 6049, 1557, 5065, 8498, 4367, 851, 540, 1557, 3732, 11090, 11530, 1557, 5339, 1603, 3028, 8039, 14703, 2359, 3584, 585, 1557, 1603, 2489, 269, 4828, 593, 519, 11645, 540, 513, 2875, 2376, 3838, 676, 476, 279, 1271, 2798, 547, 3314, 827, 713, 1557, 281, 1557, 4367, 11645, 540, 1053, 476, 31404, 1913, 2110, 1557, 593, 606, 4998, 2875, 2328, 606, 1557, 593, 11645, 543, 9021, 540, 1053, 1018, 616, 519, 1271, 11645, 540, 513, 1434, 27680, 630, 1556, 11645, 264, 513, 2110, 5037, 593, 8511, 2360, 269, 4828, 593, 1250, 1153, 1923, 1557, 593, 1250, 1153, 1272, 1923, 5037, 593, 1250, 1153, 1923, 5888, 593, 1250, 1153, 1923, 4633, 593, 1250, 1153, 782, 1053, 27043, 538, 519, 19209, 538, 519, 6640, 585, 6640, 11755, 543, 1287, 979, 547, 741, 9757, 1362, 11623, 5888, 593, 1250, 1153, 1557, 593, 1250, 1153, 1272, 5037, 593, 1250, 1153, 1153, 1272, 1557, 2110, 1557, 593, 1250, 1153, 4633, 593, 1250, 1153, 2022, 12445, 3105, 2022, 16938, 3105, 1973, 21856, 2433, 1557, 267, 4633, 267, 2376, 11783, 10374, 1557, 593, 1909, 543, 2956, 540, 1053, 538, 2486, 476, 1001, 276, 676, 9631, 3534, 887, 344, 1909, 543, 2956, 540, 1053, 538, 2486, 1053, 1590, 8275, 519, 2956, 540, 519, 2078, 1063, 606, 1367, 543, 519, 2486, 812, 568, 12851, 547, 513, 2486, 267, 543, 1053, 616, 606, 1271, 851, 540, 621, 1053, 3112, 2661, 538, 2347, 10072, 689, 519, 2146, 3734, 621, 568, 519, 1053, 945, 1058, 22738, 519, 5539, 540, 8165, 4550, 1606, 3469, 2238, 540, 513, 1906, 18348, 1004, 563, 14112, 1557, 593, 5539, 540, 2875, 454, 305, 2074, 543, 9021, 540, 4961, 1557, 585, 1362, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 543, 476, 1321, 1265, 1279, 543, 2110, 1557, 593, 2924, 543, 9021, 540, 4961, 585, 707, 3214, 267, 1453, 543, 1053, 269, 4828, 593, 968, 322, 2734, 622, 1514, 5539, 543, 7881, 1557, 593, 968, 322, 2734, 622, 1514, 5539, 543, 7881, 519, 3549, 9450, 1369, 513, 26526, 2110, 942, 543, 8118, 29099, 1082, 9513, 19093, 538, 519, 8087, 2829, 267, 28492, 543, 519, 8087, 10806, 10826, 660, 569, 267, 519, 3919, 814, 513, 2698, 269, 594, 993, 513, 476, 1015, 628, 1362, 2875, 1775, 7390, 513, 4583, 27352, 6444, 1164, 1153, 1775, 899, 1250, 1272, 693, 1153, 607, 513, 2875, 267, 1775, 723, 1978, 11645, 543, 9021, 1775, 899, 873, 1775, 2760, 2119, 547, 695, 25184, 269, 26930, 540, 513, 2875, 1557, 9073, 676, 538, 5539, 540, 513, 2875, 1557, 9073, 476, 3066, 12354, 476, 1001, 279, 2792, 543, 4950, 1557, 609, 5348, 18462, 1557, 593, 3635, 17717, 538, 737, 2335, 3385, 1557, 568, 513, 2110, 1655, 2828, 1557, 15938, 23504, 1579, 916, 517, 2893, 1655, 1557, 1603, 3028, 20410, 1565, 7005, 538, 1153, 1557, 2182, 5191, 540, 4633, 1557, 5098, 563, 268, 4828, 827, 22459, 5539, 540, 2875, 2110, 1557, 593, 2797, 2152, 12031, 1344, 1949, 11285, 5967, 2055, 9702, 3594, 538, 7005, 575, 560, 630, 1263, 1501, 7328, 1557, 17707, 264, 24185, 585, 1557, 3140, 1747, 1294, 513, 1382, 1957, 1383, 7824, 1557, 827, 9649, 5774, 320, 18105, 636, 16147, 1092, 1018, 568, 1915, 1557, 1753, 4214, 563, 268, 5441, 9021, 538, 1082, 2665, 2487, 1164, 1153, 20021, 616, 8600, 2933, 585, 519, 1995, 540, 2852, 519, 1034, 1271, 3344, 540, 13215, 707, 2069, 538, 2852, 4125, 2870, 606, 3961, 267, 8391, 606, 2069, 267, 543, 30176, 1514, 9021, 713, 1163, 563, 13625, 593, 2875, 1272, 281, 2470, 267, 11645, 267, 9021, 543, 18399, 7121, 281, 3594, 267, 9021, 281, 513, 2875, 849, 814, 1010, 9021, 891, 1058, 581, 9859, 2509, 1010, 8378, 267, 2486, 543, 2509, 1010, 2197, 2875, 1272, 568, 11344, 1272, 1107, 2110, 1557, 1018, 616, 519, 11645, 540, 513, 2875, 3237, 281, 2495, 267, 5107, 267, 9021, 543, 11645, 540, 3237, 269, 26930, 568, 513, 1360, 1898, 16023, 540, 1915, 621, 713, 1557, 593, 5539, 649, 786, 2119, 547, 5581, 1018, 621, 568, 543, 1018, 649, 991, 621, 585, 269, 1215, 798, 1775, 2328, 606, 1557, 593, 5539, 9337, 22599, 740, 676, 8239, 569, 2328, 609, 6015, 8239, 569, 781, 1863, 1603, 813, 2306, 2386, 3388, 596, 1826, 568, 2653, 547, 1224, 267, 3006, 1491, 5683, 2110, 2275, 7491, 610, 2147, 9073, 2995, 513, 1483, 1650, 827, 513, 942, 950, 596, 13948, 8959, 547, 581, 3743, 267, 1603, 3210, 3594, 1450, 1761, 1053, 547, 1459, 741, 1378, 1448, 540, 2070, 1759, 593, 2123, 1995, 11783, 3503, 606, 1557, 593, 11645, 543, 9021, 540, 1053, 2376, 3838, 676, 1053, 849, 723, 513, 1390, 5539, 547, 948, 856, 519, 1447, 26752, 2818, 540, 519, 2486, 676, 1259, 540, 1514, 960, 789, 666, 2709, 1390, 2533, 676, 3450, 2192, 30185, 1453, 540, 7404, 14252, 267, 476, 31982, 1913, 1557, 593, 1053, 543, 9015, 1557, 593, 519, 11645, 540, 513, 2875, 269, 0, 14549, 2186, 3112, 7703, 1360, 1454, 4641, 1775, 2648, 2469, 547, 5939, 593, 31914, 599, 6640, 602, 1058, 581, 519, 2219, 1184, 540, 1022, 22344, 269, 590, 10176, 1495, 1954, 644, 267, 513, 28772, 6048, 267, 2564, 4387, 267, 18673, 543, 4651, 540, 25164, 4519, 267, 568, 3622, 6444, 607, 835, 540, 519, 1034, 9565, 543, 22265, 17024, 540, 519, 14206, 2540, 269, 901, 3296, 540, 519, 6648, 4401, 1227, 10941, 525, 519, 6177, 781, 3409, 602, 30768, 3112, 7703, 1360, 1454, 4641, 281, 621, 568, 1100, 3476, 547, 7703, 4641, 538, 519, 2631, 540, 1412, 1729, 22036, 262, 4641, 621, 568, 547, 7703, 4641, 538, 519, 2631, 540, 1412, 1729, 2844, 267, 1489, 267, 1711, 262, 4641, 563, 24109, 753, 3112, 7703, 519, 4641, 540, 713, 865, 789, 2661, 538, 513, 5326, 1158, 1141, 789, 616, 3025, 781, 5869, 267, 3025, 781, 3659, 543, 2877, 29872, 766, 610, 24158, 4960, 476, 279, 1296, 3516, 476, 272, 269, 898, 1223, 581, 1732, 2854, 910, 855, 621, 568, 4277, 543, 814, 513, 2603, 540, 1360, 1434, 6138, 1315, 7326, 10530, 910, 543, 519, 3844, 5048, 540, 519, 2956, 540, 5168, 543, 4641, 616, 1360, 1271, 547, 8103, 269, 9966, 1678, 785, 3112, 7703, 1360, 1454, 4641, 267, 2523, 827, 28302, 5061, 875, 666, 513, 476, 1960, 279, 268, 1220, 278, 2518, 2333, 540, 1566, 1756, 2504, 540, 476, 9083, 260, 543, 25933, 2504, 540, 476, 736, 260, 581, 8308, 4330, 607, 563, 14549, 2186, 3112, 7703, 1360, 1454, 4641, 630, 27917, 14415, 1115, 676, 512, 338, 1714, 3999, 264, 512, 338, 1714, 3999, 781, 13085, 6965, 568, 1759, 5097, 593, 1010, 11579, 7992, 5813, 883, 519, 9808, 14923, 540, 1480, 2470, 269, 570, 11548, 609, 513, 4087, 596, 666, 1039, 4087, 1344, 547, 707, 17408, 1115, 267, 971, 607, 707, 2749, 610, 5730, 4087, 267, 689, 519, 1357, 543, 3842, 3791, 18407, 3156, 269, 2107, 621, 1522, 581, 602, 812, 3112, 7703, 1454, 4641, 630, 628, 15106, 267, 476, 3192, 279, 267, 533, 1704, 264, 621, 849, 4667, 602, 646, 568, 6031, 602, 1480, 7919, 616, 606, 6364, 540, 2067, 5542, 5310, 15470, 5156, 538, 4720, 607, 513, 1184, 22041, 547, 5555, 1711, 513, 811, 10995, 543, 20009, 1272, 563, 5804, 14646, 12457, 781, 519, 16563, 540, 519, 2831, 281, 593, 3356, 543, 824, 2413, 14868, 281, 538, 519, 1007, 16851, 621, 729, 5156, 602, 7963, 1223, 1711, 5763, 281, 22937, 2614, 2724, 547, 2614, 1004, 543, 4166, 782, 1131, 581, 3638, 269, 634, 1480, 2797, 5114, 547, 2916, 3186, 8494, 1436, 1590, 581, 16190, 543, 6157, 786, 581, 11213, 543, 1100, 2339, 875, 1454, 649, 15093, 267, 649, 666, 1152, 11574, 543, 3082, 547, 8337, 910, 711, 4368, 621, 713, 568, 513, 29695, 3932, 269, 4014, 1480, 2186, 3112, 7703, 1360, 1454, 4641, 32737, 646, 20475, 519, 1448, 267, 1101, 538, 12638, 538, 519, 26720, 267, 543, 1287, 538, 2185, 14415, 1115, 9789, 3483, 540, 513, 2528, 568, 547, 11677, 602, 21792, 3364, 1572, 2283, 2225, 281, 519, 4356, 540, 1318, 4743, 269, 1677, 11411, 721, 609 ]

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

[ 753, 264, 892, 693, 5464, 14147, 18625, 538, 6552, 2127, 267, 1352, 1767, 269, 968, 2171, 2461, 711, 1434, 693, 7421, 1804, 5666, 540, 1239, 269, 14464, 4987, 666, 798, 602, 3034, 12385, 628, 5362, 1234, 525, 267, 8689, 540, 519, 29336, 4741, 585, 5274, 7126, 8889, 693, 12370, 2160, 267, 1767, 519, 4028, 4473, 540, 5841, 4987, 814, 23185, 513, 7521, 936, 2436, 519, 2029, 786, 5555, 1020, 513, 1106, 540, 9637, 13380, 547, 3425, 563, 3891, 1767, 513, 1883, 1448, 538, 519, 7521, 729, 2436, 971, 2029, 1058, 581, 13886, 547, 2924, 10150, 676, 3425, 267, 971, 607, 519, 5191, 547, 6430, 1018, 1826, 540, 960, 547, 798, 563, 22154, 729, 513, 4241, 942, 585, 15806, 2223, 1234, 525, 1767, 269, 968, 1103, 519, 2796, 540, 5841, 4987, 267, 891, 2055, 1831, 1256, 811, 10296, 1848, 0, 6124, 10215, 3744, 723, 6659, 519, 10332, 1377, 585, 513, 9649, 18962, 1107, 799, 568, 519, 2707, 540, 3047, 779, 4102, 20349, 538, 519, 2250, 476, 276, 267, 1822, 1296, 563, 10481, 334, 15187, 3081, 621, 814, 9571, 5176, 476, 10384, 1507, 16767, 9944, 8235, 570, 879, 17763, 267, 519, 28188, 2813, 676, 519, 570, 879, 17763, 26439, 334, 543, 1715, 10215, 779, 4102, 10720, 563, 2005, 1767, 538, 513, 3948, 602, 621, 6659, 519, 18962, 10332, 1377, 547, 476, 272, 689, 476, 271, 563, 763, 18962, 9963, 1062, 568, 1759, 593, 3670, 2157, 540, 15583, 566, 540, 519, 19727, 267, 855, 2983, 517, 564, 4967, 602, 26706, 666, 2049, 693, 1022, 1377, 543, 519, 2157, 949, 711, 1847, 538, 5311, 269, 1317, 2534, 666, 1689, 6385, 563, 763, 570, 879, 17763, 18962, 2063, 30192, 827, 476, 272, 267, 8517, 1296, 3516, 267, 950, 621, 884, 14954, 811, 982, 476, 1911, 12945, 12919, 540, 1570, 883, 519, 5790, 1472, 476, 1220, 7460, 563, 763, 20349, 10969, 730, 513, 1804, 1858, 540, 1715, 10215, 779, 3844, 3345, 6816, 538, 840, 25993, 3110, 2787, 563, 10481, 517, 564, 1767, 519, 4102, 20349, 593, 519, 4541, 538, 519, 2063, 476, 276, 267, 1822, 1296, 563, 763, 8116, 3773, 602, 621, 729, 519, 1101, 942, 621, 1185, 6659, 519, 570, 879, 17763, 26439, 334, 10332, 1377, 547, 476, 272, 267, 855, 621, 729, 711, 519, 1101, 942, 972, 1185, 1044, 19727, 543, 1767, 519, 7872, 540, 606, 20349, 7283, 269, 1360, 1970, 563, 24618, 638, 1389, 2048, 16673, 3136, 20371, 2005, 1767, 281, 968, 24618, 638, 1389, 543, 22775, 725, 616, 2693, 547, 3136, 538, 519, 4947, 4374, 610, 3275, 3034, 6124, 10215, 6013, 593, 519, 10465, 1063, 519, 7414, 543, 8241, 29684, 10824, 267, 543, 814, 4810, 1082, 16767, 543, 22747, 563, 1103, 476, 1001, 280, 267, 6519, 6816, 267, 1634, 607, 1733, 10440, 926, 267, 10393, 30192, 543, 884, 14954, 9252, 543, 11849, 267, 11318, 476, 2420, 1004, 543, 12517, 3614, 1005, 476, 1839, 267, 6140, 14666, 269, 0, 27908, 27812, 8397, 11848, 4262, 4672, 10411, 15297, 798, 711, 30599, 4011, 622, 15372, 626, 6811, 540, 13778, 4262, 4672, 9271, 538, 2413, 2053, 563, 8794, 4262, 4672, 24750, 518, 21285, 630, 7709, 1839, 1070, 3744, 630, 298, 565, 1782, 1696, 620, 1421, 476, 1708, 274, 264, 723, 5462, 602, 519, 4262, 4672, 6708, 538, 519, 6997, 30786, 7256, 729, 5176, 15534, 2429, 519, 1032, 630, 29148, 547, 476, 271, 269, 271, 13179, 326, 17320, 307, 8016, 264, 585, 1454, 540, 519, 2063, 476, 280, 267, 1822, 1296, 269, 634, 4262, 4672, 729, 9803, 630, 349, 271, 269, 272, 13179, 326, 17320, 307, 8016, 264, 476, 280, 267, 4968, 547, 476, 279, 267, 12010, 1296, 3516, 267, 543, 1970, 630, 349, 271, 269, 275, 13179, 326, 17320, 307, 8016, 264, 689, 476, 278, 267, 4335, 547, 476, 275, 267, 1822, 1296, 3516, 563, 1103, 4334, 267, 2413, 4262, 4672, 1631, 16569, 476, 2537, 4374, 829, 1032, 543, 568, 519, 5207, 538, 519, 2063, 476, 280, 267, 1822, 266, 1296, 630, 349, 272, 269, 277, 13179, 326, 17320, 307, 8016, 1916, 15862, 11905, 281, 30709, 1782, 1696, 620, 1421, 476, 1708, 274, 454, 763, 3668, 540, 513, 7678, 538, 4262, 4672, 2530, 2066, 519, 6997, 30786, 7256, 568, 5812, 609, 7422, 602, 1397, 519, 3148, 814, 711, 3636, 539, 538, 519, 2063, 476, 3583, 1296, 630, 312, 1662, 599, 2801, 341, 543, 700, 18344, 267, 476, 1001, 278, 1916, 15862, 11905, 281, 962, 1662, 599, 2801, 341, 543, 700, 18344, 267, 476, 1001, 278, 454, 8448, 3744, 630, 310, 340, 1696, 620, 1421, 476, 1708, 271, 264, 5462, 602, 689, 827, 476, 1691, 267, 1822, 547, 476, 279, 267, 1822, 1296, 3516, 267, 950, 2910, 273, 19388, 1229, 2282, 476, 7742, 28327, 267, 519, 2142, 879, 3228, 7256, 630, 6635, 8157, 264, 729, 968, 333, 22022, 4672, 1863, 2429, 519, 1032, 892, 630, 283, 271, 269, 273, 623, 7709, 1839, 264, 543, 9625, 275, 9180, 15911, 982, 2221, 538, 5162, 563, 4415, 2413, 630, 2735, 279, 268, 1220, 278, 264, 2910, 273, 693, 9625, 6110, 28327, 267, 713, 3148, 568, 476, 3583, 268, 1911, 260, 4672, 2275, 2642, 630, 285, 271, 269, 279, 623, 7709, 1839, 264, 585, 476, 1015, 547, 476, 1556, 3275, 829, 1032, 563, 15862, 11905, 281, 18961, 1696, 620, 1421, 476, 1708, 271, 454, 306, 1998, 321, 731, 4262, 4672, 814, 9450, 547, 922, 5207, 6708, 540, 519, 4591, 18152, 630, 1556, 267, 10384, 1296, 3516, 547, 1459, 264, 1282, 519, 2063, 476, 4335, 547, 476, 10384, 1296, 630, 5472, 320, 691, 1696, 620, 1421, 476, 1708, 271, 1916, 763, 4591, 18152, 779, 4262, 4672, 5021, 1175, 2919, 1282, 2413, 2053, 267, 607, 519, 4589, 4063, 972, 814, 1044, 606, 968, 27463, 848, 538, 7379, 1839, 9830, 1310, 524, 269, 476, 271, 269, 278, 22144, 271, 269, 273, 1608, 269, 25697, 22680, 267, 609, 513, 5021, 538, 519, 2413, 21439, 3034, 15862, 11905, 281, 2353, 320, 691, 1696, 620, 1421, 476, 1708, 271, 454, 288, 1353, 3135, 22583, 540, 590, 1998, 321, 731, 267, 3744, 630, 27778, 823, 1696, 620, 1421, 476, 1708, 271, 264, 1265, 2221, 779, 4262, 2627, 5210, 540, 968, 283, 271, 9180, 892, 616, 693, 2547, 476, 275, 9180, 21617, 982, 789, 941, 1175, 513, 1906, 8536, 1296, 3516, 267, 950, 519, 11848, 729, 4262, 4672, 1863, 585, 782, 855, 968, 320, 7008, 540, 3275, 892, 1169, 1032, 563, 9213, 779, 4262, 4672, 10865, 8653, 630, 349, 1556, 3275, 829, 1032, 264, 543, 4832, 4262, 2627, 5210, 630, 14706, 5232, 17622, 264, 616, 1851, 519, 5207, 543, 9803, 630, 27920, 1947, 264, 540, 519, 4591, 18152, 269, 0, 1432, 568, 645, 2752, 293, 888, 763, 2165, 645, 2752, 293, 2501, 689, 519, 2296, 834, 289, 8344, 30785, 21984, 5253, 10791, 257, 543, 1797, 538, 4436, 834, 289, 8344, 267, 2249, 29003, 6151, 1426, 8487, 1607, 568, 513, 6151, 4244, 2732, 602, 729, 2919, 547, 1683, 5243, 609, 513, 9168, 1753, 2275, 10541, 2732, 602, 5161, 540, 6151, 4887, 5779, 543, 6151, 5779, 7633, 267, 5388, 543, 5613, 267, 543, 23352, 782, 9268, 3536, 563, 1432, 568, 645, 2752, 293, 1426, 1500, 540, 888, 763, 5227, 4808, 585, 645, 2752, 293, 1426, 2874, 540, 476, 3583, 260, 4887, 5779, 267, 476, 1015, 260, 6151, 17580, 7633, 267, 476, 278, 260, 5388, 267, 476, 276, 260, 6797, 267, 476, 276, 4939, 824, 5728, 800, 8219, 267, 476, 273, 260, 5452, 610, 10808, 543, 476, 272, 260, 4829, 563, 268, 26298, 5779, 630, 3583, 260, 994, 289, 2752, 293, 1426, 5161, 540, 6151, 4887, 5779, 547, 1683, 1898, 3940, 267, 11254, 7408, 543, 1216, 30320, 8324, 269, 898, 568, 5227, 602, 476, 3583, 260, 540, 2698, 3232, 6981, 2097, 689, 4887, 5779, 269, 901, 1281, 711, 1611, 267, 2705, 267, 547, 3049, 519, 2915, 14311, 609, 4887, 5779, 267, 855, 849, 609, 15459, 3170, 543, 2295, 4887, 5779, 563, 268, 21984, 17580, 7633, 630, 1015, 260, 994, 25413, 267, 6151, 17580, 7633, 616, 606, 1271, 851, 540, 519, 645, 2752, 293, 2732, 547, 1683, 1898, 7513, 267, 16903, 543, 824, 1898, 5567, 563, 268, 29641, 630, 278, 260, 994, 309, 1122, 564, 1963, 616, 3730, 5820, 547, 1683, 1898, 5567, 543, 3730, 20239, 12950, 338, 269, 29641, 616, 3730, 538, 5870, 519, 1898, 9422, 2115, 585, 5243, 563, 268, 20506, 630, 276, 260, 994, 763, 6797, 568, 1776, 1271, 5057, 602, 2488, 1898, 3170, 30320, 6171, 589, 543, 1216, 30320, 8324, 269, 4033, 5728, 800, 8219, 971, 607, 519, 8459, 849, 1683, 3730, 5820, 547, 1683, 1898, 6886, 543, 1216, 30320, 8324, 563, 268, 5452, 1299, 18041, 282, 715, 7491, 630, 273, 260, 994, 305, 1177, 5452, 543, 10808, 616, 3730, 5820, 602, 1683, 519, 645, 2752, 293, 3049, 609, 1898, 6886, 267, 9761, 7408, 543, 3170, 30320, 8324, 563, 268, 22500, 630, 272, 260, 994, 293, 8816, 3568, 3730, 5820, 543, 2488, 14434, 267, 855, 568, 10480, 538, 1507, 5666, 1813, 547, 922, 1164, 4006, 1543, 563, 19119, 540, 645, 2752, 293, 454, 18933, 26677, 547, 645, 2752, 293, 585, 707, 2915, 568, 835, 540, 519, 1655, 3664, 596, 666, 1118, 585, 707, 1093, 5255, 256, 634, 6151, 1426, 2732, 585, 5243, 3091, 5383, 267, 607, 741, 11937, 1705, 711, 3548, 5010, 562, 756, 7632, 543, 27574, 4620, 1426, 2901, 269, 2368, 540, 519, 5383, 693, 513, 16145, 912, 268, 674, 3305, 22454, 543, 1732, 12536, 454, 299, 18612, 22454, 538, 5243, 666, 581, 3833, 30414, 910, 2523, 952, 596, 723, 547, 2973, 621, 909, 1169, 1554, 269, 645, 2752, 293, 849, 7125, 585, 606, 2949, 4824, 12536, 1510, 519, 9362, 602, 2049, 538, 2915, 1426, 689, 519, 666, 610, 16152, 563, 268, 14568, 10359, 543, 8902, 2960, 454, 289, 2752, 293, 3947, 5243, 8902, 2960, 543, 513, 8902, 10359, 676, 4628, 5466, 741, 9422, 2115, 269, 1411, 1810, 1405, 723, 547, 1039, 1022, 3606, 9360, 563, 268, 3143, 811, 11959, 454, 12441, 596, 917, 602, 10568, 543, 8970, 616, 519, 1034, 1271, 1426, 23480, 538, 5243, 286, 1635, 14874, 891, 689, 707, 2732, 267, 972, 568, 1100, 3476, 1022, 14711, 12416, 610, 18915, 12014, 585, 11959, 563, 268, 13245, 267, 3043, 4522, 454, 289, 2752, 293, 5849, 8902, 4522, 543, 14779, 269, 14068, 7362, 786, 849, 979, 2476, 563, 268, 2859, 1648, 454, 5970, 596, 2479, 1185, 519, 4743, 602, 707, 2915, 3274, 814, 1100, 7287, 543, 1648, 286, 1548, 707, 2915, 22655, 814, 513, 2101, 1764, 593, 922, 2623, 543, 1648, 2157, 269, 2961, 8510, 6233, 1336, 538, 16152, 666, 2285, 707, 2915, 513, 2110, 3856, 1648, 5818, 267, 855, 646, 3513, 4166, 1745, 13110, 1586, 563, 268, 16237, 6533, 539, 21210, 3590, 454, 27288, 5243, 543, 20384, 3100, 547, 723, 7864, 10108, 543, 1072, 2042, 1317, 6151, 1426, 18791, 741, 4761, 1949, 269, 645, 2752, 293, 568, 849, 1164, 538, 9761, 7408, 543, 824, 1271, 5567, 602, 5818, 519, 4761, 1062, 563, 268, 16473, 532, 12128, 543, 1488, 9374, 454, 1320, 1157, 518, 5243, 616, 811, 12155, 547, 3987, 543, 12263, 269, 1635, 1904, 532, 585, 6151, 8023, 267, 596, 786, 7413, 519, 7872, 540, 3987, 676, 7303, 3586, 4679, 538, 1973, 4006, 269, 634, 4389, 4960, 540, 12982, 2175, 849, 2337, 2061, 12263, 269, 0, 2005, 949, 581, 14845, 585, 1082, 1004, 602, 21453, 269, 1548, 568, 519, 3017, 1063, 27046, 543, 27046, 22596, 286, 5221, 621, 779, 28113, 607, 1134, 269, 1809, 538, 1249, 950, 6158, 827, 28113, 269, 15394, 4016, 547, 2898, 28113, 269, 1656, 796, 15263, 539, 267, 1034, 1419, 1031, 607, 3662, 3049, 269, 2107, 946, 538, 519, 13184, 2872, 269, 1809, 4016, 547, 28113, 602, 723, 1044, 2666, 610, 9268, 269, 2334, 666, 581, 3434, 1426, 3533, 538, 513, 2339, 540, 3764, 269, 1284, 1419, 3548, 27046, 22596, 538, 519, 1106, 540, 23611, 267, 1039, 3905, 1216, 267, 610, 1039, 3636, 5144, 585, 14254, 269, 898, 568, 2571, 543, 30861, 2147, 547, 11188, 16466, 563, 2252, 596, 1376, 547, 1205, 19252, 540, 519, 1482, 2025, 23611, 269, 538, 519, 6640, 855, 1869, 1616, 513, 2241, 14254, 2672, 3386, 585, 554, 755, 548, 543, 11861, 548, 942, 267, 2653, 547, 6445, 267, 2653, 593, 519, 7181, 543, 1434, 585, 1072, 269, 1284, 6799, 27046, 22596, 267, 513, 1434, 4324, 689, 28113, 602, 786, 948, 707, 14254, 1100, 3476, 27865, 517, 748, 269, 1809, 772, 293, 5723, 4953, 875, 568, 1434, 585, 1072, 286, 2913, 779, 1246, 713, 2376, 563, 302, 520, 22596, 5161, 540, 28113, 602, 723, 1044, 9268 ]

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

[ 1911, 568, 5078, 952, 596, 1616, 1279, 2165, 11191, 609, 1970, 8856, 780, 24038, 476, 274, 454, 272, 476, 5655, 2798, 5788, 476, 274, 1296, 3516, 692, 296, 946, 13735, 1448, 972, 910, 585, 1383, 267, 1310, 476, 1015, 23200, 267, 519, 9115, 540, 519, 5044, 616, 1384, 314, 15886, 1789, 269, 28873, 271, 3393, 6434, 275, 7906, 267, 476, 7597, 269, 4281, 276, 4281, 273, 280, 4649, 8660, 277, 1428, 267, 476, 271, 269, 4572, 5881, 272, 24241, 15686, 15886, 275, 267, 476, 280, 269, 7176, 278, 9083, 32133, 13923, 26951, 324, 268, 4962, 267, 476, 278, 269, 13970, 28906, 6507, 274, 4366, 280, 271, 4510, 324, 268, 5400, 6540, 24038, 476, 275, 454, 274, 476, 4029, 1448, 5788, 476, 274, 1296, 3516, 692, 322, 944, 1862, 594, 729, 16207, 1055, 676, 1210, 476, 1911, 330, 1376, 3688, 594, 7058, 780, 297, 4528, 602, 3096, 13735, 1448, 3079, 540, 4351, 1138, 15975, 1384, 630, 346, 1701, 272, 538, 335, 264, 2073, 269, 630, 11783, 3436, 346, 281, 257, 272, 538, 335, 264, 2999, 257, 271, 287, 281, 263, 271, 261, 346, 15311, 266, 272, 261, 346, 15311, 268, 273, 261, 346, 15311, 17983, 272, 287, 281, 263, 316, 2073, 269, 9041, 272, 263, 347, 269, 2073, 269, 476, 8079, 476, 2608, 1142, 7565, 317, 281, 4335, 271, 264, 567, 6902, 270, 476, 1911, 2073, 476, 271, 1269, 349, 2999, 281, 1948, 538, 335, 2340, 498, 490, 21735, 18077, 361, 23708, 23708, 23708, 21735, 18077, 494, 2340, 498, 480, 320, 18077, 480, 3583, 269, 5379, 278, 280, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 321, 18077, 480, 1015, 269, 15793, 272, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 322, 18077, 480, 1428, 269, 271, 4200, 278, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 323, 18077, 480, 274, 269, 4198, 10463, 18077, 480, 2340, 498, 506, 21735, 18077, 376, 23708, 23708, 23708, 21735, 18077, 353, 2340, 498, 480, 338, 18077, 480, 272, 269, 1911, 6872, 18077, 480, 2340, 498, 498, 21735, 18077, 368, 23708, 23708, 23708, 21735, 18077, 502, 476, 1377, 476, 272, 476, 272, 476, 1724, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 667, 821, 538, 16790, 31640, 4486, 609, 2182, 2275, 10757, 2418, 269, 24438, 3403, 786, 581, 3773, 538, 513, 3787, 269, 22478, 281, 3767, 609, 3403, 16163, 518, 269, 3807, 5299, 519, 3403, 5196, 519, 17157, 4580, 543, 2196, 519, 7097, 18452, 28701, 5899, 306, 5902, 263, 5141, 760, 4580, 267, 834, 333, 2580, 834, 337, 8442, 10753, 3591, 28701, 18452, 269, 7230, 913, 263, 272, 264, 20456, 28701, 5899, 306, 5902, 263, 19152, 269, 7230, 913, 263, 272, 1070, 834, 285, 2580, 29038, 8442, 10934, 28701, 15079, 31230, 267, 4939, 20456, 8160, 1314, 19340, 3890, 268, 272, 10934, 314, 2419, 664, 314, 288, 318, 19340, 14963, 28701, 20456, 314, 288, 318, 19340, 266, 272, 316, 10934, 314, 2419, 664, 314, 2419, 664, 8160, 1314, 19340, 3890, 14963, 28701, 20456, 314, 2419, 664, 8160, 1314, 19340, 3890, 316, 26162, 28701, 15079, 585, 1142, 267, 7412, 538, 18452, 2715, 590, 5902, 28701, 5899, 306, 5902, 263, 18118, 267, 834, 24333, 834, 834, 264, 26162, 314, 306, 5902, 314, 272, 14963, 28701, 590, 5902, 314, 273, 316, 7684, 2549, 870, 338, 28701, 15079, 585, 7392, 538, 26162, 2549, 870, 338, 314, 13911, 316, 28701, 476, 271, 2549, 870, 338, 314, 2419, 664, 314, 272, 14963, 28701, 476, 1911, 31230, 267, 4939, 10753, 3591, 2715, 585, 7392, 267, 2549, 870, 538, 2549, 870, 338, 2715, 2549, 870, 338, 314, 24961, 314, 13911, 14963, 6834, 2549, 870, 265, 305, 919, 314, 13911, 316, 2549, 870, 338, 314, 13911, 316, 28701, 2549, 870, 910, 2549, 870, 265, 305, 919, 314, 13911, 316, 7684, 7684, 585, 7392, 267, 2549, 870, 538, 2549, 870, 338, 4934, 1547, 284, 7392, 834, 281, 834, 18471, 263, 8649, 870, 267, 476, 273, 264, 834, 260, 333, 257, 15516, 326, 26213, 267, 4939, 4934, 476, 1377, 476, 272, 476, 273, 2798, 5788, 476, 274, 1296, 3516, 1280, 930, 2601, 594, 6415, 2348, 513, 2603, 540, 8373, 609, 713, 269, 1879, 513, 13540, 1232, 904, 883, 513, 8250, 13540, 267, 568, 972, 1100, 3476, 1022, 20276, 656, 540, 519, 4358, 13540, 538, 519, 3732, 286, 1924, 952, 519, 4358, 3732, 6368, 1232, 904, 1310, 476, 1911, 271, 7643, 540, 513, 476, 4335, 271, 29364, 3732, 267, 1131, 602, 1611, 513, 281, 476, 3199, 260, 568, 519, 3977, 286, 594, 1589, 594, 6415, 1175, 2348, 8373, 28277, 1250, 2634, 1472, 519, 4890, 1966, 269, 590, 13446, 952, 594, 6415, 513, 2370, 3500, 267, 713, 568, 1250, 1101, 3801, 693, 835, 540, 891, 269, 1377, 476, 273, 476, 272, 476, 272, 24314, 5403, 518, 272, 1448, 5788, 476, 274, 1296, 3516, 19850, 256, 594, 4312, 3773, 513, 2417, 6609, 5037, 547, 519, 4161, 2022, 269, 594, 4126, 621, 2337, 269, 594, 1174, 713, 568, 513, 9425, 7138, 1782, 1523, 950, 596, 1101, 5873, 621, 269, 594, 4312, 6045, 621, 519, 1259, 594, 3314, 621, 269, 1377, 476, 273, 910, 272, 2798, 5788, 476, 274, 1296, 3516, 6423, 1250, 2022, 269, 1377, 476, 272, 910, 280, 476, 11025, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 595, 267, 6029, 606, 19347, 11191, 538, 519, 12363, 1210, 966, 307, 1911, 543, 4888, 10485, 9101, 9479, 269, 21115, 839, 14653, 281, 5291, 2517, 328, 269, 19112, 584, 2593, 270, 278, 295, 752, 273, 8582, 26666, 1948, 514, 2850, 2999, 560, 323, 1470, 19544, 285, 1948, 514, 2850, 2999, 560, 323, 12221, 19544, 285, 1948, 514, 2850, 2999, 551, 4286, 19544, 285, 1785, 22140, 2715, 1347, 3009, 282, 5595, 25754, 282, 703, 1293, 282, 7684, 282, 1948, 3698, 710, 654, 2839, 8025, 476, 3199, 1948, 3698, 710, 16777, 20846, 476, 2412, 20704, 18082, 263, 560, 1192, 22140, 2608, 333, 16197, 328, 267, 703, 7643, 264, 2715, 703, 5536, 314, 310, 2839, 8025, 6012, 4047, 20846, 316, 815, 2715, 346, 271, 3686, 282, 1820, 325, 19629, 343, 272, 321, 314, 273, 297, 257, 5148, 12262, 32135, 5496, 585, 630, 842, 512, 815, 476, 271, 282, 512, 2999, 7643, 282, 512, 10030, 264, 2715, 585, 630, 842, 1775, 815, 476, 271, 282, 22140, 5157, 4940, 13892, 11203, 1412, 1412, 282, 1775, 10030, 264, 22140, 5157, 4940, 12248, 815, 476, 271, 282, 282, 1820, 325, 19629, 343, 272, 321, 314, 295, 260, 476, 276, 323, 1315, 4939, 476, 276, 323, 14826, 2580, 512, 1341, 476, 272, 267, 7643, 5148, 12262, 1847, 1283, 2451, 585, 630, 842, 586, 815, 476, 271, 282, 586, 2999, 16777, 20846, 282, 586, 10030, 264, 2715, 585, 630, 842, 1535, 815, 476, 271, 282, 1535, 2999, 654, 2839, 8025, 282, 1535, 10030, 264, 2715, 703, 2608, 335, 815, 1299, 4820, 2873, 20572, 6012, 344, 22049, 952, 630, 8681, 3890, 1315, 630, 29602, 264, 681, 13263, 318, 7246, 311, 2999, 22140, 314, 265, 335, 4940, 14433, 264, 30916, 335, 264, 10030, 282, 1820, 325, 19629, 343, 272, 321, 314, 271, 282, 260, 323, 332, 260, 322, 315, 343, 272, 321, 314, 332, 2580, 476, 4029, 1341, 2608, 335, 267, 22140, 314, 265, 335, 4940, 13892, 5148, 22140, 314, 265, 335, 4940, 12248, 10030, 282, 7684, 1820, 325, 19629, 333, 257, 5148, 7684, 1315, 265, 7179, 3349, 269, 2608, 270, 585, 630, 842, 1775, 815, 476, 271, 282, 22140, 5157, 4940, 13892, 11203, 1412, 1412, 282, 1775, 10030, 264, 1820, 325, 19629, 343, 272, 321, 314, 271, 282, 260, 323, 332, 260, 322, 315, 343, 272, 321, 314, 332, 281, 4939, 268, 1015, 323, 14826, 2580, 476, 4029, 1341, 1775, 267, 22140, 5157, 4940, 13892, 267, 22140, 5157, 4940, 12248, 5148, 7684, 7684, 703, 1292, 3890, 2715, 1315, 265, 3474, 572, 3403, 269, 2608, 270, 703, 7643, 282, 11571, 325, 2891, 260, 323, 14826, 2580, 1299, 572, 6948, 5148, 703, 562, 18196, 815, 476, 271, 282, 585, 630, 842, 524, 815, 535, 1326, 322, 263, 560, 19734, 5148, 524, 11203, 1412, 315, 333, 262, 282, 524, 815, 535, 1326, 322, 263, 560, 19734, 4297, 952, 630, 529, 10401, 6262, 4297, 562, 18196, 10030, 282, 1785, 22140, 22140, 314, 660, 4885, 1341, 476, 272, 22049, 585, 630, 842, 1775, 815, 476, 271, 282, 1775, 2999, 562, 18196, 282, 1775, 10030, 264, 11571, 325, 2891, 260, 322, 281, 4939, 331, 325, 14826, 2580, 1299, 333, 16197, 328, 5157, 4940, 13892, 267, 1299, 333, 16197, 328, 5157, 4940, 14433, 5148, 22140, 314, 660, 4885, 316, 815, 630, 560, 1192, 22140, 264, 346, 262, 1412, 348, 282, 12262, 2366, 514, 601, 18082, 3799, 16197, 328, 267, 7643, 5148, 2132, 476, 271, 282, 7684, 476, 1377, 476, 273, 476, 272, 476, 272, 24314, 5403, 518, 272, 1448, 5788, 476, 274, 1296, 3516, 2334, 5654, 2731, 7168, 267, 594, 899, 621, 256, 594, 8263, 4888, 10485, 9101, 9479, 616, 1175, 513, 1970, 7400, 10682, 585, 1945, 899, 1225, 4513, 286, 1377, 476, 274, 476, 272, 1448, 5788, 476, 274, 1296, 3516, 2859, 610, 1447, 267, 9811, 269, 1358, 1450, 552, 3052, 269, 4657, 4282, 543, 32215, 7990, 543, 23684, 3350, 269, 9504, 814, 513, 1434, 3349, 609, 3137, 269, 1377, 476, 274, 910, 280, 476, 10037, 1448, 5788, 476, 274, 1296, 3516, 2334, 781, 10416, 1018, 1225, 4513, 568, 3257, 267, 1498, 621, 849, 7125, 930, 13013, 10391, 3252, 585, 1978, 12363, 6354, 2827, 267, 899, 8380, 519, 12363, 538, 6151, 7154, 269, 4888, 10485, 9101, 9479, 4805, 5749, 1405, 2614, 547, 798, 1919, 899, 13214, 519, 12363, 2450, 269, 1377, 476, 272, 476, 273, 2798, 5788, 476, 274, 1296, 3516, 5788, 12995, 476, 274, 1296, 3516, 3733, 25007, 3070, 269, 1948, 24425, 23591, 24800, 19841, 341, 6299, 344, 1948, 901, 3217, 5413, 540, 1079, 2081, 540, 1739, 519, 14255, 25771, 557, 1505, 910, 1948, 835, 1259, 10311, 11046, 1227, 543, 2141, 19765, 23660, 9178, 267, 519, 1948, 824, 3085, 1405, 543, 2141, 21467, 560, 23660, 9178, 269, 898, 11081, 519, 1948, 11191, 1900, 2450, 2394, 519, 5470, 538, 1169, 8167, 568, 2630, 513, 6378, 1948, 12939, 269, 2154, 1412, 333, 6783, 262, 11555, 12702, 7644, 3633, 318, 303, 3918, 290, 3041, 12778, 815, 476, 277, 1219, 18082, 318, 20657, 599, 318, 12294, 10734, 895, 263, 20657, 599, 318, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 9178, 318, 7798, 815, 715, 26161, 30419, 318, 3534, 263, 20657, 599, 318, 7798, 264, 17114, 815, 715, 26161, 30419, 318, 3534, 8443, 272, 316, 1341, 630, 314, 271, 316, 2608, 630, 20657, 599, 318, 7798, 32324, 910, 476, 272, 30727, 942, 815, 476, 271, 269, 271, 1900, 18045, 6745, 1307, 798, 1232, 904, 815, 17114, 2608, 9178, 318, 7798, 2608, 1900, 15481, 19670, 815, 715, 26161, 269, 15615, 263, 20657, 599, 318, 7798, 32324, 264, 19670, 314, 272, 907, 514, 5765, 32324, 268, 272, 316, 815, 1232, 904, 314, 271, 907, 514, 5765, 32324, 268, 273, 316, 17114, 815, 17114, 1341, 19670, 910, 1232, 904, 942, 6834, 1900, 15481, 1439, 17114, 30419, 19963, 1439, 1219, 18082, 318, 20657, 599, 318, 21639, 10734, 895, 263, 20657, 599, 318, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 17114, 815, 1496, 272, 316, 1341, 630, 314, 271, 316, 2608, 630, 20657, 599, 318, 7798, 32324, 910, 476, 272, 4297, 942, 815, 476, 271, 269, 271, 1900, 18045, 6745, 1307, 798, 19670, 815, 1496, 271, 316, 17114, 32324, 6745, 1307, 798, 1923, 328, 347, 17114, 5157, 316, 6834, 19670, 5157, 316, 19670, 5157, 266, 272, 316, 815, 17114, 5157, 316, 2608, 9178, 318, 7798, 5157, 316, 2608, 1900, 15481, 1439, 17114, 32324, 6745, 1307, 798, 1923, 328, 347, 17114, 5157, 316, 20699, 19670, 5157, 266, 272, 316, 1439, 942, 6834, 1900, 15481, 1439, 17114, 1439, 1219, 5173, 318, 20657, 599, 318, 7798, 263, 7798, 267, 1439, 22710, 264, 1900, 18045, 815, 476, 9083, 275, 1900, 15481, 815, 1439, 22710, 30419, 6958, 1315, 1900, 18045, 8520, 798, 5580, 318, 14310, 815, 18082, 318, 20657, 599, 318, 21639, 10734, 895, 263, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 2539, 318, 14310, 815, 18082, 318, 20657, 599, 318, 12294, 10734, 895, 263, 7798, 267, 1439, 22710, 267, 1900, 18045, 267, 1900, 15481, 264, 3193, 318, 19587, 815, 5580, 318, 14310 ]

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

[ 8173, 22322, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 1948, 22400, 2910, 14701, 28313, 912, 476, 1948, 567, 25956, 519, 8901, 10627, 1013, 768, 18807, 1780, 563, 476, 1948, 454, 476, 1948, 567, 1411, 949, 1265, 621, 3730, 547, 946, 519, 10627, 1013, 768, 4464, 1780, 596, 3097, 476, 1948, 567, 8045, 538, 670, 310, 1948, 275, 563, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 15848, 267, 546, 24472, 267, 546, 15883, 815, 7183, 267, 7183, 267, 7183, 454, 476, 15848, 267, 546, 24472, 267, 546, 15883, 284, 321, 520, 1013, 768, 318, 3724, 1189, 18828, 6745, 4920, 2821, 5560, 719, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 323, 719, 17482, 314, 271, 30297, 323, 719, 17482, 314, 273, 30297, 323, 719, 17482, 314, 274, 3910, 546, 719, 17482, 314, 272, 8079, 1070, 21461, 994, 476, 513, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 476, 715, 272, 284, 323, 719, 17482, 314, 271, 2639, 476, 595, 284, 323, 719, 17482, 314, 272, 2639, 476, 670, 284, 323, 719, 17482, 314, 273, 2639, 476, 654, 284, 323, 719, 17482, 314, 274, 2639, 476, 15848, 284, 12639, 6745, 4920, 2821, 5560, 343, 269, 31412, 9230, 301, 272, 267, 295, 267, 310, 267, 290, 24270, 263, 271, 267, 274, 267, 272, 267, 273, 4917, 476, 1948, 323, 719, 284, 12639, 6745, 4920, 2821, 5560, 719, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 323, 719, 17482, 314, 271, 30297, 323, 719, 17482, 314, 273, 30297, 323, 719, 17482, 314, 274, 3910, 546, 719, 17482, 314, 272, 28413, 3097, 22322, 476, 1948, 320, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 476, 1948, 343, 318, 1002, 284, 12639, 6745, 4920, 2821, 3287, 318, 1002, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 343, 318, 1002, 17482, 314, 271, 30297, 343, 318, 1002, 17482, 314, 273, 30297, 343, 318, 1002, 17482, 314, 274, 3910, 1535, 318, 1002, 17482, 314, 272, 28413, 476, 1948, 2745, 3287, 17482, 994, 476, 1948, 301, 272, 24210, 17482, 314, 271, 2639, 476, 1948, 290, 24210, 17482, 314, 272, 2639, 476, 1948, 295, 24210, 17482, 314, 273, 2639, 476, 1948, 310, 24210, 17482, 314, 274, 2639, 476, 1948, 343, 284, 12639, 6745, 4920, 2821, 3287, 267, 263, 271, 267, 273, 267, 274, 267, 272, 26895, 31412, 9230, 343, 17482, 314, 271, 30297, 343, 17482, 314, 273, 30297, 343, 17482, 314, 274, 3910, 1535, 17482, 314, 272, 28413, 476, 1948, 323, 15883, 284, 323, 719, 27904, 263, 9471, 284, 271, 994, 476, 1948, 323, 24472, 14352, 323, 719, 20080, 318, 1002, 1040, 8999, 263, 9471, 284, 271, 994, 476, 1948, 11459, 318, 1002, 284, 323, 719, 265, 24472, 454, 476, 1948, 6767, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 454, 476, 1948, 27219, 14352, 343, 1606, 2217, 318, 11743, 12684, 11459, 318, 1002, 454, 476, 1948, 26501, 284, 8987, 272, 14370, 338, 2217, 318, 12534, 266, 10134, 4297, 265, 27219, 454, 476, 1948, 1372, 284, 271, 269, 276, 265, 9230, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 12684, 26501, 454, 476, 1948, 323, 12534, 284, 1372, 27904, 263, 9471, 284, 271, 994, 476, 1948, 323, 14153, 15871, 6767, 27904, 263, 9471, 284, 271, 9984, 323, 12534, 16732, 273, 24474, 17482, 314, 271, 8079, 265, 9230, 343, 1606, 2217, 318, 11743, 1040, 8999, 263, 9471, 284, 271, 4917, 476, 1948, 11459, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 23444, 273, 16732, 343, 1606, 2217, 318, 11743, 8358, 343, 17482, 314, 271, 8079, 265, 323, 12534, 266, 323, 14153, 24474, 17482, 314, 271, 2639, 476, 1948, 11459, 284, 12639, 6745, 4920, 2821, 5560, 343, 269, 31412, 18217, 272, 267, 295, 267, 310, 267, 290, 32140, 271, 267, 274, 267, 272, 267, 273, 4917, 476, 1948, 11459, 284, 12639, 6745, 4920, 2821, 3287, 269, 31412, 9230, 301, 272, 267, 295, 267, 310, 267, 290, 24270, 263, 271, 267, 274, 267, 272, 267, 273, 4917, 3097, 476, 1948, 2745, 5560, 343, 17482, 994, 476, 1948, 321, 2255, 318, 3724, 1189, 5560, 719, 22698, 5995, 994, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 476, 1948, 13673, 291, 22400, 2910, 14701, 28313, 454, 476, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 8528, 476, 2132, 15848, 267, 546, 24472, 267, 546, 15883, 454, 3698, 10627, 1013, 768, 318, 3724, 1189, 5560, 719, 267, 21461, 2187, 825, 8173, 825, 7982, 1189, 1780, 585, 16801, 3339, 1436, 563, 8931, 825, 1280, 713, 6388, 267, 596, 1058, 2328, 856, 513, 19106, 3113, 585, 454, 825, 16801, 3339, 1436, 593, 1957, 543, 29608, 27080, 18807, 998, 454, 825, 13591, 9136, 563, 8931, 825, 18452, 338, 912, 825, 910, 546, 719, 281, 5455, 6894, 16755, 267, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 21461, 281, 24438, 540, 10827, 919, 689, 10627, 1013, 768, 318, 3453, 563, 8931, 825, 16849, 513, 24042, 540, 912, 825, 910, 15848, 281, 27240, 1304, 609, 2463, 547, 11378, 1535, 267, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 546, 24472, 281, 27240, 1304, 609, 2463, 547, 4336, 9936, 18325, 267, 540, 3337, 630, 291, 267, 994, 825, 910, 546, 15883, 281, 27240, 1304, 609, 2463, 547, 6521, 9936, 12498, 267, 540, 3337, 630, 291, 267, 994, 825, 8173, 825, 15848, 267, 546, 24472, 267, 546, 15883, 815, 7183, 267, 7183, 267, 7183, 22562, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 1948, 22400, 2910, 14701, 28313, 912, 825, 1948, 567, 25956, 519, 10627, 1013, 768, 18807, 1780, 267, 12719, 15848, 267, 546, 24472, 267, 543, 546, 15883, 563, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 513, 267, 324, 22698, 14720, 21726, 318, 1002, 267, 24472, 29679, 2217, 318, 12534, 29679, 2217, 318, 11743, 267, 10134, 21726, 284, 322, 5995, 454, 825, 546, 15883, 284, 323, 719, 27904, 263, 9471, 284, 271, 994, 825, 546, 24472, 14352, 323, 719, 20080, 318, 1002, 1040, 8999, 263, 9471, 284, 271, 994, 825, 15848, 318, 1002, 284, 323, 719, 265, 24472, 454, 825, 13005, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 454, 825, 24563, 14352, 343, 1606, 2217, 318, 11743, 12684, 11459, 318, 1002, 454, 825, 546, 322, 284, 8987, 272, 14370, 338, 2217, 318, 12534, 266, 10134, 4297, 265, 27219, 454, 825, 632, 284, 271, 269, 276, 265, 9230, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 12684, 26501, 454, 825, 546, 12534, 284, 1372, 27904, 263, 9471, 284, 271, 994, 825, 546, 14153, 15871, 6767, 27904, 263, 9471, 284, 271, 9984, 323, 12534, 16732, 273, 24474, 17482, 314, 271, 8079, 265, 9230, 343, 1606, 2217, 318, 11743, 1040, 8999, 263, 9471, 284, 271, 4917, 825, 15848, 14352, 272, 270, 12639, 28460, 4433, 2217, 318, 12534, 266, 10134, 4297, 265, 11459, 318, 1002, 23444, 273, 16732, 343, 1606, 2217, 318, 11743, 8358, 343, 17482, 314, 271, 8079, 265, 323, 12534, 266, 323, 14153, 24474, 17482, 314, 271, 2639, 8931, 8931, 8931, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 825, 1948, 13673, 291, 22400, 2910, 14701, 28313, 454, 825, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 8931, 825, 2132, 15848, 267, 546, 24472, 267, 546, 15883, 454, 3698, 10627, 1013, 768, 318, 3453, 3287, 267, 18325, 267, 12498, 267, 536, 333, 318, 12407, 2187, 825, 8173, 825, 28644, 1780, 585, 16801, 3339, 1436, 563, 8931, 825, 4438, 2866, 519, 3732, 1611, 543, 630, 15635, 8091, 539, 264, 3732, 13065, 616, 454, 825, 17223, 689, 1295, 756, 2255, 7194, 543, 1031, 547, 3339, 1125, 519, 19670, 1239, 563, 825, 4438, 2866, 649, 849, 1832, 606, 28354, 9178, 532, 4881, 1611, 540, 519, 1611, 454, 825, 543, 13065, 540, 1142, 4183, 267, 543, 891, 25939, 616, 1031, 547, 3339, 1125, 1239, 454, 825, 693, 1449, 6066, 780, 825, 2311, 1142, 4626, 652, 788, 649, 9337, 519, 4881, 25939, 585, 1611, 543, 13065, 1210, 454, 825, 606, 12825, 9178, 1759, 593, 519, 11610, 9936, 1384, 825, 4881, 318, 11743, 815, 11610, 2608, 4881, 318, 11743, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 11743, 454, 825, 4881, 318, 12534, 815, 11610, 2608, 4881, 318, 12534, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 12534, 692, 825, 8074, 602, 519, 16801, 3339, 1436, 1957, 5267, 513, 1114, 1449, 6066, 454, 825, 2623, 281, 789, 12337, 3732, 1611, 543, 13065, 585, 1142, 4183, 1210, 513, 454, 825, 1804, 1297, 540, 2866, 2592, 2864, 982, 1210, 513, 4881, 3328, 269, 1280, 454, 825, 713, 6388, 649, 723, 6074, 547, 946, 4881, 25939, 3079, 2094, 454, 825, 789, 798, 711, 2154, 606, 3606, 16759, 1900, 282, 519, 23290, 278, 6388, 454, 825, 540, 16801, 3339, 1436, 849, 3096, 4881, 25939, 780, 825, 18452, 912, 825, 910, 1535, 281, 4578, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 18325, 281, 17361, 9936, 540, 3337, 630, 291, 267, 994, 825, 910, 12498, 281, 29196, 533, 732, 31461, 540, 3337, 630, 291, 267, 994, 825, 910, 536, 333, 318, 12407, 281, 9218, 609, 519, 1739, 10569, 912, 8587, 910, 7154, 281, 1412, 30221, 262, 610, 1412, 11687, 262, 282, 2838, 454, 8587, 910, 552, 1186, 281, 19693, 585, 25948, 6617, 454, 8587, 910, 11610, 281, 19693, 585, 4881, 1611, 1315, 13065, 563, 8587, 910, 4881, 318, 11743, 281, 26275, 540, 3337, 630, 291, 267, 264, 4758, 4881, 1611, 540, 2934, 454, 8587, 910, 4881, 318, 12534, 26275, 540, 3337, 630, 291, 267, 264, 4758, 4881, 13065, 540, 2934, 692, 825, 16849, 513, 24042, 540, 912, 825, 910, 856, 281, 540, 3337, 630, 301, 267, 667, 994, 825, 910, 21461, 281, 589, 24042, 540, 2418, 2877, 538, 519, 18807, 1780, 454, 825, 8173, 825, 7154, 815, 536, 333, 318, 12407, 9131, 332, 1712, 23300, 825, 552, 1186, 815, 536, 333, 318, 12407, 10947, 3488, 10134, 3299, 476, 272, 324, 268, 276, 994, 825, 11610, 815, 536, 333, 318, 12407, 10947, 3488, 332, 30291, 636, 3299, 476, 271, 269, 280, 2020, 825, 715, 267, 667, 815, 1535, 17482, 454, 825, 4881, 318, 11743, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 11743, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 4917, 825, 4881, 318, 12534, 815, 536, 333, 318, 12407, 10947, 3488, 337, 7342, 318, 12534, 3299, 5286, 25910, 20573, 267, 546, 6943, 24210, 6155, 6943, 11723, 825, 856, 267, 21461, 815, 7183, 267, 7183, 454, 825, 952, 7154, 2652, 1412, 30221, 12466, 13872, 1038, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 1038, 1948, 22400, 2910, 14701, 28313, 912, 1038, 1948, 567, 589, 1906, 3268, 1934, 912, 1038, 1948, 672, 630, 272, 264, 12433, 519, 4881, 1611, 543, 13065, 540, 519, 1295, 756, 2255, 563, 1038, 1948, 672, 630, 273, 264, 16453, 1125, 519, 1437, 725, 609, 519, 4881, 1611, 543, 13065, 563, 1038, 1948, 672, 630, 274, 264, 17361, 543, 6521, 519, 28348, 1437, 725, 269, 476, 15188, 713, 454, 1038, 1948, 1363, 607, 519, 4756, 1412, 719, 7055, 1038, 1948, 672, 630, 275, 264, 15188, 1022, 4632, 596, 949, 991, 585, 519, 18807, 1780, 538, 454, 1038, 1948, 1363, 519, 1412, 322, 5995, 262, 4756, 563, 1038, 1948, 815, 25275, 13117, 7529, 4499, 2525, 284, 1948, 454, 1038, 10917, 13448, 24210, 454, 1038, 3732, 318, 11743, 284, 12639, 32557, 3287, 267, 9471, 284, 271, 994, 1038, 3732, 318, 12534, 284, 12639, 269, 12534, 3287, 267, 9471, 284, 271, 994, 1038, 4881, 318, 11743, 815, 11610, 2608, 4881, 318, 11743, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 11743, 454, 1038, 4881, 318, 12534, 815, 11610, 2608, 4881, 318, 12534, 1341, 630, 272, 910, 11610, 264, 2608, 3732, 318, 12534, 454, 1038, 513, 14352, 343, 1606, 2217, 318, 11743, 994, 1038, 552, 284, 338, 2217, 318, 12534, 266, 10134, 454, 1038, 524, 284, 12639, 28460, 16216, 994, 1038, 536, 284, 272, 11305, 454, 1038, 1535, 318, 1002, 30381, 265, 321, 454, 1038, 1535, 14352, 343, 1606 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1164, 7779, 14292, 2645, 269, 29460, 21616, 609, 519, 3668, 540, 1863, 2200, 585, 1200, 1053, 267, 1352, 2813, 5871, 299, 527, 538, 476, 1001, 274, 563, 13349, 299, 527, 13333, 513, 1863, 2228, 2542, 1982, 585, 1053, 538, 9344, 476, 274, 268, 1321, 267, 609, 2542, 4245, 2813, 676, 7924, 4966, 543, 5449, 7855, 269, 2311, 5871, 299, 527, 3820, 267, 3610, 666, 1569, 513, 1863, 3059, 744, 2207, 5399, 540, 936, 476, 274, 267, 1822, 5931, 269, 2353, 5931, 1331, 8574, 17466, 2055, 543, 21934, 1245, 539, 267, 10509, 10276, 327, 2331, 2645, 547, 1489, 10010, 1053, 269, 1358, 666, 849, 6895, 2875, 3356, 998, 519, 9906, 13437, 667, 1662, 4580, 267, 9477, 2898, 1362, 543, 1367, 2875, 2773, 676, 3044, 547, 3713, 3466, 543, 2127, 540, 6454, 543, 1544, 585, 2104, 6044, 563, 10932, 814, 9672, 602, 1053, 609, 2362, 6165, 540, 5871, 299, 527, 779, 3059, 1982, 7152, 1713, 4081, 2208, 269, 7335, 476, 277, 610, 811, 5871, 299, 527, 4245, 31426, 609, 936, 476, 272, 269, 276, 2053, 519, 3328, 4397, 2208, 256, 7324, 1164, 1153, 1053, 267, 11264, 476, 1556, 610, 811, 5871, 299, 527, 4245, 7000, 2208, 540, 476, 271, 269, 3374, 3044, 24017, 256, 901, 568, 5176, 476, 273, 343, 519, 1764, 540, 519, 6093, 1164, 1153, 6304, 630, 271, 269, 866, 1916, 13349, 299, 527, 4867, 5713, 936, 476, 736, 2929, 1053, 1472, 519, 8608, 269, 3776, 3486, 3755, 2799, 476, 4792, 277, 260, 2094, 519, 1376, 540, 519, 6855, 267, 8757, 5176, 835, 2929, 3610, 543, 1053, 269, 1284, 2503, 547, 3136, 3395, 28354, 563, 13349, 299, 527, 568, 8810, 547, 17108, 2875, 1565, 676, 909, 547, 476, 273, 343, 269, 1284, 616, 593, 3950, 538, 519, 1985, 476, 274, 1296, 547, 17108, 1565, 585, 476, 1724, 2929, 1053, 11451, 267, 543, 1831, 606, 476, 3199, 260, 12236, 8907, 1582, 1606, 20980, 18758, 563, 27645, 543, 3237, 666, 1129, 909, 585, 513, 1863, 5871, 299, 527, 2272, 538, 2296, 693, 8940, 2593, 3000, 26569, 3820, 610, 538, 5053, 693, 8940, 2593, 3000, 26569, 3820, 270, 525, 563, 2414, 1451, 811, 827, 5871, 299, 527, 543, 519, 3318, 1646, 649, 2709, 3610, 267, 5225, 3346, 3397, 755, 2088, 631, 641, 7065, 339, 630, 16942, 11333, 2593, 1040, 0, 288, 2077, 13444, 267, 606, 900, 5799, 4137, 538, 6138, 267, 1500, 1713, 26058, 538, 1620, 519, 2470, 540, 519, 2247, 269, 3502, 1152, 1705, 1010, 2093, 2482, 519, 13210, 585, 2663, 19929, 593, 6530, 543, 5042, 2257, 267, 855, 789, 849, 15748, 513, 2189, 5133, 593, 21042, 12695, 543, 7881, 563, 1607, 5816, 2022, 6663, 547, 5490, 883, 17127, 779, 1523, 540, 519, 2247, 267, 3246, 606, 16367, 3408, 540, 713, 2565, 2460, 540, 1010, 6138, 563, 1432, 9894, 17127, 17166, 6168, 519, 9650, 888, 288, 2077, 13444, 779, 2070, 540, 519, 2247, 607, 519, 5207, 4390, 540, 519, 9997, 568, 513, 1523, 7184, 18955, 883, 1010, 21042, 12695, 269, 1284, 786, 1865, 875, 646, 1064, 1243, 513, 5094, 543, 17946, 4474, 1373, 693, 519, 2295, 540, 782, 6228, 543, 2263, 875, 713, 3661, 24889, 609, 1010, 17748, 540, 519, 2247, 563, 288, 2077, 13444, 779, 5683, 4978, 267, 3226, 1010, 8561, 593, 8236, 552, 644, 2727, 8205, 630, 320, 1533, 540, 25552, 1145, 610, 8788, 264, 998, 17284, 267, 786, 581, 9916, 538, 6935, 547, 1010, 5784, 593, 519, 2247, 563, 3383, 267, 1577, 779, 7832, 593, 713, 3078, 7214, 3460, 267, 10188, 519, 32725, 540, 17127, 779, 2247, 267, 835, 2856, 693, 513, 942, 563, 272, 269, 634, 14163, 582, 27318, 9650, 281, 589, 9978, 11137, 454, 2690, 17127, 267, 519, 1480, 2247, 7012, 1406, 1175, 1776, 851, 540, 519, 1560, 282, 621, 729, 519, 533, 4883, 12386, 540, 519, 9997, 779, 5759, 269, 1261, 9763, 519, 2247, 607, 519, 5207, 4390, 540, 519, 9997, 267, 513, 1523, 602, 3029, 513, 3844, 4557, 564, 540, 1010, 10952, 2219, 269, 1306, 971, 267, 538, 1620, 17127, 779, 6138, 267, 621, 3587, 14063, 547, 9787, 713, 4909, 2856, 563, 6097, 547, 17127, 267, 519, 2247, 19299, 606, 17271, 15796, 267, 609, 2219, 1373, 519, 10700, 4390, 269, 901, 3206, 1184, 267, 610, 1018, 17127, 5219, 547, 607, 968, 1492, 1303, 601, 2946, 3832, 807, 540, 519, 2247, 2223, 568, 711, 8806, 513, 12809, 1533, 855, 606, 3742, 23314, 540, 519, 2247, 779, 1761, 640, 883, 4890, 640, 563, 1103, 12863, 1913, 267, 621, 779, 899, 519, 2247, 568, 513, 18048, 267, 543, 4555, 616, 922, 25704, 267, 4547, 547, 1272, 676, 519, 6297, 3498, 540, 1585, 19206, 267, 971, 607, 8226, 267, 9345, 267, 543, 3965, 563, 288, 2077, 13444, 779, 9650, 543, 4033, 7167, 659, 885, 454, 4913, 267, 519, 2247, 779, 2702, 547, 1589, 3085, 1406, 2291, 538, 10072, 269, 898, 568, 4890, 1242, 998, 824, 19206, 540, 519, 9997, 267, 1142, 7674, 513, 1114, 1599, 563, 268, 1280, 3236, 267, 8226, 2636, 721, 547, 1995, 519, 1158, 1472, 721, 267, 8108, 519, 6151, 1570, 585, 938, 4555, 563, 268, 22569, 1588, 2636, 721, 547, 2736, 1863, 689, 519, 695, 871, 956, 540, 519, 1459, 267, 11291, 532, 2250, 2833, 267, 610, 19424, 532, 2104, 7399, 563, 268, 15350, 3947, 721, 519, 2702, 547, 4558, 543, 23074, 1344, 267, 513, 4105, 32563, 585, 1022, 1106, 540, 1950, 3206, 563, 19602, 267, 2687, 547, 17127, 267, 519, 2247, 30230, 1186, 1991, 1790, 739, 7845, 21465, 270, 1410, 17839, 2218, 1894, 2864, 982, 4111, 1043, 3029, 269, 901, 5267, 602, 938, 4555, 616, 8032, 711, 1175, 676, 519, 3615, 610, 2093, 649, 7237, 855, 849, 676, 519, 3347, 1063, 873, 267, 3226, 538, 2474, 540, 3123, 543, 2360, 563, 1607, 1448, 2417, 11363, 519, 3742, 2470, 540, 519, 2247, 538, 17127, 779, 6138, 267, 9446, 532, 621, 607, 606, 6946, 1357, 540, 32144, 532, 4555, 543, 2093, 267, 7683, 538, 13441, 267, 8272, 337, 1681, 519, 6422, 2470, 540, 4641, 3294, 563, 2414, 17412, 267, 519, 14163, 582, 27318, 2247, 3884, 1406, 8806, 513, 8708, 585, 4555, 855, 513, 7524, 17198, 1141, 1585, 19206, 540, 519, 9997, 2097, 1927, 547, 5862, 519, 3638, 13795, 540, 1480, 9637, 563, 273, 269, 634, 9650, 4340, 547, 17127, 779, 5450, 7469, 12695, 454, 22013, 1324, 883, 17127, 779, 21042, 12695, 2337, 721, 19586, 519, 6946, 6402, 1063, 1010, 5784, 593, 2048, 7424, 8072, 543, 1010, 1523, 540, 519, 2247, 269, 17127, 4843, 513, 2864, 7096, 543, 3982, 3409, 602, 972, 6818, 513, 5094, 543, 17946, 4474, 1373, 602, 5713, 607, 519, 2707, 540, 782, 824, 7919, 269, 901, 1880, 3661, 3029, 519, 5127, 13702, 540, 1620, 17127, 779, 1523, 540, 519, 2247, 563, 288, 2077, 13444, 5156, 602, 519, 2247, 568, 519, 5207, 4390, 540, 519, 9997, 267, 609, 782, 824, 19206, 8647, 547, 4890, 1125, 3206, 267, 799, 568, 9833, 607, 519, 1303, 601, 2946, 3832, 807, 630, 1492, 4890, 1436, 610, 20106, 264, 540, 519, 2247, 563, 1103, 1010, 21042, 9713, 5133, 267, 646, 5784, 713, 5094, 543, 17946, 4474, 1373, 607, 1945, 4909, 543, 1898, 267, 1454, 899, 519, 2247, 538, 6935, 547, 519, 9997, 269, 901, 4295, 11769, 267, 610, 2048, 27146, 776, 6219, 8730, 607, 17127, 4016, 547, 621, 267, 6585, 922, 6228, 10446, 540, 782, 824, 6688, 540, 1373, 563, 21413, 713, 6219, 267, 519, 824, 6688, 3112, 2291, 267, 2147, 547, 875, 519, 824, 19206, 540, 519, 9997, 3112, 581, 7691, 1510, 519, 2247, 563, 763, 19043, 540, 17127, 779, 27284, 9861, 454, 763, 4644, 540, 713, 3661, 538, 1620, 17127, 779, 1523, 540, 519, 2247, 6013, 538, 519, 19320, 6537, 1063, 713, 3119, 6219, 543, 519, 1480, 2247, 269, 3807, 607, 519, 3119, 6219, 896, 15533, 782, 3601, 543, 2242, 538, 1945, 267, 519, 2247, 3788, 3586, 267, 5103, 519, 1585, 4555, 267, 4606, 267, 543, 11994, 621, 2833, 267, 12013, 4328, 519, 17946, 4474, 2470, 540, 519, 3119, 6219, 563, 10702, 267, 17127, 779, 26841, 540, 713, 5094, 543, 17946, 4474, 1373, 32514, 919, 1010, 8226, 540, 519, 2247, 607, 513, 2189, 543, 4830, 11769, 269, 898, 568, 711, 1175, 1776, 851, 540, 519, 1560, 610, 9997, 267, 855, 513, 1796, 29671, 11769, 602, 666, 1599, 543, 2291, 10446, 269, 634, 2247, 267, 8754, 267, 568, 711, 1152, 519, 5207, 4390, 540, 519, 9997, 855, 849, 513, 10058, 11769, 609, 606, 6228, 540, 922, 1378, 563, 8139, 17127, 779, 21042, 12695, 543, 1010, 1523, 540, 2048, 7424, 8072, 3091, 721, 513, 21950, 8223, 540, 1010, 2070, 540, 519, 2247, 269, 898, 2488, 513, 5748, 585, 16208, 1010, 5784, 593, 7881, 267, 1702, 267, 543, 1082, 824, 3344, 540, 1010, 6138, 602, 568, 23091, 609, 519, 1523, 540, 519, 2247, 563, 2026, 649, 5490, 4514, 883, 519, 6106, 540, 17127, 779, 6138, 267, 519, 7096, 3310, 540, 1010, 21042, 9713, 5784, 593, 1010, 1523, 540, 519, 2247, 3587, 5051, 10423, 563, 274, 269, 15979, 543, 519, 14163, 582, 27318, 9650, 454, 763, 5683, 4978, 540, 17127, 616, 5704, 2299, 5532, 609, 1010, 17748, 540, 519, 2247, 269, 6239, 547, 1620, 713, 4276, 568, 1010, 1523, 540, 661, 644, 2727, 8205, 267, 12484, 826, 267, 543, 519, 2856, 602, 649, 1831, 1732, 7606, 998, 2259, 563, 288, 2077, 13444, 779, 661, 644, 2727, 8205, 281, 589, 4469, 712, 5109, 9650, 454, 292, 644, 2727, 8205, 267, 1419, 12261, 607, 968, 4148, 712, 5109, 892, 610, 968, 1492, 1434, 1272, 2223, 568, 513, 22294, 540, 17127, 779, 5683, 6138, 269, 1280, 1864, 267, 552, 644, 2727, 8205, 568, 711, 8806, 513, 23644, 1533, 540, 8788, 610, 12257, 855, 513, 13455, 2783, 540, 1134, 5630, 543, 20106, 6913, 998, 2713, 513, 1272, 540, 16495, 269, 17127, 5156, 602, 713, 1533, 540, 30436, 568, 519, 10700, 3804, 540, 1480, 1272, 267, 543, 8757, 621, 3340, 519, 5207, 4390, 540, 519, 9997, 1107, 519, 2247, 563, 6097, 547, 17127, 267, 519, 2247, 4249, 513, 2565, 1909, 538, 3056, 721, 2509, 552, 644, 2727, 8205, 269, 898, 568, 998, 7787, 3206, 267, 10385, 267, 543, 7326, 602, 649, 666, 20559, 1018, 3527, 616, 4075, 6681, 543, 3442, 547, 957, 9935, 563, 13295, 267, 519, 2247, 3587, 519, 3844, 8665, 538, 13057, 938, 3527, 2509, 519, 9740, 540, 513, 30436, 1272, 563, 763, 10020, 540, 12484, 826, 538, 519, 14163, 582, 27318, 9650, 454, 288, 2077, 13444, 2022, 4327, 519, 1523, 540, 16495, 267, 610, 616, 974, 267, 607, 513, 2318, 1915, 16023, 602, 2306, 922, 4865, 528, 513, 1434, 1480, 1373, 269, 12484, 1132, 616, 6208, 610, 8741, 1431, 649, 1020, 998, 7368, 2962, 267, 11744, 17127, 779, 3661, 538, 5837, 2208, 543, 1646, 563, 763, 11601, 540, 21644, 267, 646, 11130, 267, 729, 711, 3274, 585, 13919, 779, 19160, 269, 5502, 267, 621, 729, 513, 2619, 547, 8236, 552, 644, 2727, 8205, 267, 513, 16180, 543, 30436, 1272, 563, 2690, 17127, 267, 21644, 616, 711, 17916, 855, 16916, 998, 2259, 543, 11461, 676, 519, 2247, 269, 3776, 7787, 12200, 267, 610, 2247, 267, 6087, 721, 547, 1174, 519, 4644, 540, 21644, 543, 10274, 721, 538, 8026, 873, 563, 1103, 824, 1913, 267, 519, 2247, 267, 998, 922, 4390, 585, 2601, 543, 10385, 267, 4249, 513, 2629, 1909, 538, 14237, 21644, 543, 23376, 721, 4724, 552, 644, 2727, 8205, 563, 6826, 5765, 14568, 31080, 3414, 6657, 454, 288, 2077, 13444, 16119, 4371, 602, 649, 1831, 1732, 1004, 998, 2259, 267, 25967, 1681, 519, 2956, 540, 6208, 538, 5935, 835, 779, 1915, 543, 6038, 267, 835, 779, 1272, 269, 634, 2247, 267, 538, 713, 2796, 267, 5713, 607, 519, 8689, 540, 938, 3527, 267, 8716, 721, 547, 9846, 2259, 4075, 6681, 6411, 2394, 789, 1831, 2034, 2470, 547, 721, 563, 1607, 10206, 540, 3110, 3770, 17284, 2417, 25907, 17127, 779, 2070, 540, 7881, 543, 519, 2247, 267, 20515, 519, 11358, 1909, 519, 2247, 4249, 538, 2123, 1646, 543, 5683, 2713, 563, 7437, 519, 7828, 540, 17127, 779, 6138, 267, 519, 2247, 19674, 607, 811, 982, 606, 1418, 585, 2219, 269, 898, 568, 513, 3532, 1907, 585, 5837, 5583, 267, 513, 22315, 3056, 721, 2509, 513, 4075, 6681, 267, 16180, 1272, 1107, 513, 1272, 540, 552, 644, 2727, 8205, 563, 275, 269, 12480, 624, 673, 28924, 690, 1143, 543, 23227, 894, 11310, 454, 288, 2077, 13444, 779, 6138, 5088, 806, 606, 6946, 1062, 540, 9266, 7744, 1634, 607, 519, 13172, 673, 11382, 690, 1143, 269, 589, 11382, 690, 1143, 538, 14163, 582 ]

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

[ 343, 14371, 1429, 4590, 295, 815, 562, 343, 14371, 1429, 4590, 294, 14491, 17045, 263, 272, 994, 294, 14491, 5332, 3941, 318, 5228, 8443, 273, 267, 476, 274, 7481, 294, 14491, 5332, 3941, 318, 5228, 263, 9792, 263, 275, 267, 476, 278, 4917, 295, 14491, 17045, 263, 278, 994, 294, 14491, 5332, 3941, 318, 5228, 263, 295, 994, 294, 14491, 318, 8354, 263, 272, 267, 476, 273, 994, 294, 14491, 318, 8354, 263, 272, 267, 476, 272, 994, 294, 14491, 318, 539, 2471, 318, 5228, 8443, 263, 273, 267, 274, 1070, 630, 274, 267, 277, 1070, 630, 275, 267, 277, 1070, 630, 276, 267, 277, 264, 7481, 295, 14491, 318, 539, 2471, 318, 5228, 8443, 263, 275, 267, 278, 1070, 630, 276, 267, 278, 1070, 630, 277, 267, 278, 264, 7481, 294, 14491, 318, 539, 2471, 318, 5228, 263, 295, 269, 539, 2471, 15405, 333, 343, 6155, 3863, 5332, 564, 1740, 343, 31855, 994, 0, 258, 273, 269, 18600, 823, 796, 1982, 320, 6446, 1608, 9908, 3288, 1494, 16780, 807, 632, 13121, 6746, 657, 4283, 657, 5609, 1129, 334, 1483, 714, 18372, 561, 4594, 15606, 513, 3288, 30775, 542, 964, 541, 2651, 3385, 679, 1714, 533, 2863, 334, 476, 272, 563, 692, 3698, 15273, 5416, 14720, 2187, 825, 524, 284, 271, 454, 825, 1247, 536, 285, 271, 912, 1038, 524, 284, 322, 266, 320, 454, 1038, 536, 268, 284, 272, 454, 825, 2132, 524, 19638, 3698, 1494, 5416, 14720, 2187, 825, 524, 284, 272, 454, 825, 1247, 536, 285, 271, 912, 1038, 524, 284, 332, 592, 6262, 28083, 994, 1038, 536, 268, 284, 272, 454, 825, 2132, 524, 7531, 2745, 1494, 263, 274, 267, 274, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 21588, 361, 476, 9826, 272, 28859, 351, 502, 16088, 476, 10533, 493, 418, 482, 509, 13644, 491, 24757, 10951, 361, 24757, 10524, 370, 22012, 318, 6919, 17902, 8147, 19404, 490, 30837, 351, 7511, 19540, 483, 14395, 373, 20992, 23284, 31284, 19540, 483, 14395, 373, 8147, 25051, 497, 17958, 16043, 371, 27447, 24662, 10533, 493, 418, 482, 509, 13644, 491, 13644, 511, 28793, 8147, 10254, 503, 19867, 497, 22287, 364, 24731, 15213, 8147, 12571, 355, 10254, 503, 19867, 497, 22287, 364, 24731, 5274, 7126, 25707, 20701, 454, 6919, 815, 11713, 5976, 1930, 3488, 325, 2830, 1229, 318, 6919, 17902, 10807, 607, 535, 912, 825, 585, 1899, 538, 535, 912, 1038, 1913, 6910, 263, 1467, 25331, 29328, 28361, 333, 29125, 2745, 263, 6919, 2020, 3667, 815, 3403, 4590, 604, 1022, 8443, 5320, 585, 2262, 538, 1913, 952, 2262, 538, 1257, 316, 2187, 825, 1820, 3488, 26466, 4520, 5073, 12828, 912, 825, 1820, 3488, 14549, 7126, 10807, 0, 258, 1205, 614, 476, 1305, 614, 692, 5035, 4530, 24998, 2187, 825, 1948, 28859, 503, 494, 27936, 420, 485, 359, 27936, 18263, 487, 32352, 417, 508, 489, 7511, 28098, 420, 365, 350, 9463, 359, 420, 25693, 14756, 495, 27936, 418, 509, 494, 11590, 505, 31271, 508, 26233, 356, 454, 825, 6449, 16435, 1824, 1029, 815, 18011, 318, 4067, 3299, 1412, 318, 720, 17210, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 11519, 4067, 815, 2012, 454, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 1948, 1205, 614, 454, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 692, 825, 1948, 1305, 614, 454, 825, 7711, 4067, 15630, 614, 454, 825, 1219, 2012, 4311, 267, 2012, 2187, 1038, 1582, 11519, 4067, 815, 2012, 692, 825, 1948, 28859, 507, 503, 26233, 479, 25913, 25622, 22614, 505, 368, 26406, 354, 420, 364, 481, 17958, 454, 825, 7711, 18878, 24709, 454, 825, 1219, 568, 14067, 1738, 10031, 1038, 2132, 6936, 692, 825, 1948, 13127, 506, 357, 32352, 18809, 27936, 18263, 487, 32352, 25913, 25622, 8147, 32352, 25913, 25622, 7511, 21588, 361, 22047, 9463, 480, 12255, 419, 374, 355, 27936, 12571, 491, 20992, 743, 338, 12486, 476, 20881, 504, 13213, 485, 32352, 25913, 25622, 10254, 505, 417, 375, 374, 25051, 497, 31176, 491, 32352, 7511, 28098, 420, 365, 350, 454, 825, 7711, 5035, 24709, 454, 825, 1219, 3236, 263, 743, 338, 2187, 1038, 2132, 804, 338, 3488, 14075, 3299, 476, 1321, 9239, 3698, 1292, 10031, 825, 952, 4530, 18994, 14067, 1738, 263, 2567, 1948, 22614, 505, 368, 26406, 354, 420, 364, 481, 17958, 476, 21251, 17958, 14395, 508, 28032, 489, 25060, 500, 32352, 454, 1038, 804, 320, 815, 4530, 3488, 3832, 526, 599, 324, 3299, 476, 1240, 994, 1038, 1820, 263, 743, 320, 20508, 994, 1038, 1948, 22614, 365, 375, 25913, 25622, 420, 492, 371, 9463, 500, 32352, 7511, 14395, 508, 28032, 489, 454, 1038, 804, 320, 273, 815, 4530, 269, 27349, 4590, 1038, 1820, 263, 743, 320, 273, 20508, 9239, 258, 476, 14756, 356, 19867, 379, 454, 5035, 12287, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 2187, 1038, 1582, 11519, 4067, 815, 2012, 454, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2085, 4311, 2187, 1038, 2132, 1582, 11519, 720, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 2012, 4311, 2187, 1038, 2132, 1582, 11519, 4067, 692, 825, 7711, 720, 15630, 614, 454, 825, 1219, 2085, 4311, 267, 2085, 2187, 1038, 1582, 11519, 720, 815, 2085, 692, 825, 1219, 1404, 4311, 2187, 1038, 1820, 3488, 260, 338, 27064, 358, 26033, 491, 9538, 4939, 1582, 11519, 4067, 2020, 825, 1219, 1285, 4311, 2187, 1038, 952, 1582, 11519, 720, 3436, 476, 1240, 10778, 2018, 1820, 3488, 260, 338, 419, 506, 489, 822, 9538, 4939, 1582, 11519, 4067, 994, 1038, 3116, 912, 2018, 1820, 3488, 260, 338, 419, 506, 489, 10429, 487, 14035, 368, 19764, 374, 9538, 4939, 1582, 11519, 4067, 9239, 258, 9906, 476, 14756, 356, 19867, 379, 12287, 454, 5035, 9906, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 3446, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 720, 267, 2012, 994, 1038, 1582, 11519, 14079, 815, 3446, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 3446, 4311, 2187, 1038, 2132, 1582, 11519, 14079, 692, 825, 7711, 14079, 15630, 614, 454, 825, 1219, 3446, 4311, 267, 3446, 2187, 1038, 1582, 11519, 14079, 815, 3446, 692, 825, 1219, 1404, 4311, 2187, 1038, 1820, 3488, 19404, 491, 19540, 503, 419, 486, 370, 32352, 7511, 2452, 25913, 25622, 5405, 505, 30244, 16533, 365, 15159, 14035, 504, 26233, 479, 262, 9239, 258, 11819, 476, 14756, 356, 19867, 379, 12287, 454, 5035, 11819, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 2085, 267, 1576, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 720, 267, 2012, 994, 1038, 1582, 11519, 322, 6847, 815, 1576, 692, 825, 7711, 27393, 1399, 454, 825, 1219, 1576, 4311, 2187, 1038, 2132, 1582, 11519, 322, 6847, 692, 825, 7711, 322, 6847, 15630, 614, 454, 825, 1219, 1576, 4311, 267, 1576, 2187, 1038, 1582, 11519, 322, 6847, 815, 1576, 7531, 258, 418, 488, 377, 420, 365, 350, 32352, 454, 5228, 705, 322, 1104, 13235, 300, 9508, 267, 7493, 24709, 692, 5035, 8891, 24998, 267, 19898, 5035, 284, 5723, 13967, 9508, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 12183, 2187, 1038, 1582, 11519, 333, 1157, 815, 12183, 692, 825, 7711, 629, 5724, 24709, 454, 825, 1219, 5639, 4311, 2187, 1038, 1780, 7531, 5035, 9697, 27456, 564, 2187, 825, 1219, 5639, 4311, 2187, 1038, 1820, 3488, 260, 2675, 520, 9538, 4939, 1582, 11519, 333, 1157, 9239, 5035, 13928, 27456, 564, 2187, 825, 1219, 5639, 4311, 2187, 1038, 1820, 3488, 260, 338, 27594, 9538, 4939, 1582, 11519, 333, 1157, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 3890 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12041, 281, 561, 1460, 21628, 454, 6826, 1846, 281, 476, 273, 269, 4029, 14999, 18257, 7531, 5035, 8827, 912, 825, 1219, 19467, 4311, 267, 15358, 272, 267, 544, 267, 15358, 273, 267, 562, 2187, 1038, 8173, 1038, 2433, 6943, 15358, 272, 281, 5903, 27776, 2639, 1038, 2433, 6943, 544, 281, 703, 454, 1038, 2433, 6943, 15358, 273, 281, 5903, 27776, 2639, 1038, 2433, 6943, 562, 281, 703, 454, 1038, 2433, 337, 6943, 281, 20704, 1684, 711, 2132, 4376, 267, 12189, 15358, 272, 538, 268, 2897, 3079, 563, 1038, 8173, 1038, 1775, 815, 544, 910, 476, 272, 454, 1038, 795, 815, 562, 910, 476, 272, 454, 1038, 737, 815, 544, 1341, 562, 910, 476, 272, 454, 1038, 1247, 1775, 13843, 476, 271, 543, 795, 13843, 476, 271, 912, 2018, 952, 15358, 272, 5157, 316, 13843, 15358, 273, 14728, 14158, 3546, 15358, 272, 25208, 316, 815, 15358, 272, 5157, 2639, 3546, 737, 20699, 476, 272, 454, 3546, 1775, 20699, 476, 272, 454, 2018, 3116, 912, 3546, 15358, 272, 25208, 316, 815, 15358, 273, 14728, 2639, 3546, 737, 20699, 476, 272, 454, 3546, 795, 20699, 476, 272, 692, 1038, 952, 795, 13843, 476, 271, 912, 2018, 15358, 272, 314, 271, 2433, 795, 266, 272, 316, 815, 15358, 273, 314, 271, 281, 795, 266, 272, 6540, 454, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 15358, 272, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 544, 815, 476, 274, 454, 825, 15358, 273, 815, 1496, 273, 267, 476, 276, 267, 476, 277, 2639, 825, 562, 815, 476, 274, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 266, 333, 316, 2652, 1496, 272, 267, 476, 273, 267, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 277, 6540, 825, 15358, 272, 815, 1496, 271, 2639, 825, 544, 815, 476, 271, 454, 825, 15358, 273, 815, 1496, 272, 2639, 825, 562, 815, 476, 272, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 266, 333, 316, 2652, 1496, 272, 6540, 825, 15358, 272, 815, 1496, 273, 267, 476, 271, 2639, 825, 544, 815, 476, 272, 454, 825, 15358, 273, 815, 1496, 272, 2639, 825, 562, 815, 476, 272, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 1341, 562, 316, 2652, 1496, 272, 267, 476, 273, 6540, 825, 15358, 272, 815, 1496, 275, 267, 476, 276, 267, 476, 277, 267, 476, 271, 267, 476, 271, 267, 476, 271, 2639, 825, 544, 815, 476, 274, 454, 825, 15358, 273, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 825, 562, 815, 476, 274, 454, 825, 8827, 14061, 1067, 613, 25225, 272, 267, 544, 267, 15358, 273, 267, 562, 994, 825, 1820, 25225, 272, 994, 825, 7682, 15358, 272, 11468, 332, 1341, 562, 316, 2652, 1496, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 316, 0, 18411, 1889, 564, 538, 519, 1647, 9847, 2476, 689, 519, 1647, 454, 419, 506, 489, 14395, 490, 29072, 30903, 502, 25203, 362, 8147, 16533, 365, 418, 481, 367, 419, 507, 478, 26406, 496, 31365, 12486, 22614, 482, 370, 12571, 492, 8147, 16043, 495, 16533, 365, 31308, 375, 418, 368, 501, 418, 378, 350, 29072, 8147, 419, 482, 370, 12571, 492, 16043, 495, 16533, 365, 418, 481, 367, 28996, 29072, 30244, 14748, 25913, 25622, 25707, 307, 16088, 744, 27818, 273, 2608, 715, 24724, 454, 306, 16088, 744, 27818, 301, 24724, 692, 305, 29025, 281, 476, 277, 1428, 20444, 267, 5488, 982, 476, 7367, 269, 1556, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 7043, 652, 1230, 5913, 5737, 25627, 563, 300, 25514, 26402, 281, 476, 2764, 269, 276, 15406, 267, 1447, 982, 476, 5655, 269, 10602, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 7043, 652, 1230, 5913, 5737, 25627, 563, 18411, 5035, 8827, 912, 825, 1219, 13074, 290, 2945, 322, 5737, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 703, 912, 1038, 2938, 815, 1305, 25225, 994, 1038, 20735, 815, 476, 271, 454, 1038, 1247, 2938, 912, 2018, 1775, 815, 2938, 21014, 4590, 2018, 561, 267, 678, 815, 1775, 910, 476, 272, 267, 1775, 1341, 476, 272, 454, 2018, 1247, 561, 538, 2938, 912, 3546, 2938, 31927, 10857, 994, 3546, 561, 20699, 476, 272, 454, 2018, 1247, 678, 538, 2938, 912, 3546, 2938, 31927, 16868, 994, 3546, 678, 6834, 476, 272, 454, 2018, 20735, 815, 3193, 263, 753, 267, 678, 910, 561, 910, 476, 272, 994, 13872, 1038, 2132, 20735, 3097, 0, 18411, 5263, 306, 454, 307, 281, 744, 18217, 994, 306, 281, 744, 263, 8421, 301, 2020, 305, 29025, 281, 476, 13199, 20444, 267, 5488, 982, 476, 7830, 269, 2190, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 22417, 590, 9285, 26275, 547, 23030, 9612, 10326, 563, 300, 25514, 26402, 281, 476, 1428, 269, 277, 15406, 267, 1447, 982, 476, 3953, 269, 2420, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 22417, 590, 9285, 26275, 547, 23030, 9612, 10326, 563, 18411, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 16000, 815, 2451, 454, 258, 1363, 1582, 16192, 815, 1318, 454, 5035, 8827, 912, 825, 1219, 15044, 26161, 2414, 289, 4306, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 8838, 1308, 314, 21698, 11966, 14158, 1038, 1219, 546, 12028, 263, 3847, 267, 1318, 2187, 2018, 952, 2451, 3436, 1318, 912, 3546, 2132, 7183, 3097, 2018, 952, 2451, 2652, 1318, 912, 3546, 2132, 30741, 25225, 314, 3847, 7481, 2018, 4571, 815, 630, 3847, 1341, 1318, 264, 12262, 476, 273, 454, 2018, 2132, 30741, 25225, 314, 13232, 3910, 546, 12028, 263, 3847, 267, 4571, 910, 476, 272, 1070, 546, 12028, 9852, 573, 1341, 476, 272, 267, 1318, 4917, 13872, 1038, 2132, 546, 12028, 263, 271, 267, 7003, 25225, 264, 910, 476, 272, 994, 0, 18411, 327, 1662, 3349, 692, 19867, 356, 27310, 17958, 28793, 16088, 2764, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 9032, 269, 7918, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1428, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5655, 269, 5379, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6321, 1315, 476, 6321, 454, 18411, 5035, 8827, 912, 825, 1219, 12969, 4311, 267, 15358, 272, 281, 5903, 27776, 3910, 15358, 273, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 524, 660, 272, 267, 524, 660, 273, 815, 22388, 25225, 272, 1070, 22388, 25225, 273, 994, 1038, 20735, 284, 11713, 1038, 952, 7003, 6262, 660, 272, 264, 3436, 7003, 6262, 660, 273, 2187, 2018, 524, 660, 272, 267, 524, 660, 273, 815, 524, 660, 273, 267, 524, 660, 272, 454, 1038, 585, 1535, 267, 524, 538, 524, 660, 272, 29096, 10031, 2018, 524, 273, 815, 524, 660, 273, 20572, 2639, 2018, 20735, 269, 2169, 754, 8443, 343, 316, 2608, 1295, 6262, 267, 524, 273, 4917, 1038, 2132, 20735, 8528, 18411, 19867, 356, 27310, 17958, 28793, 16088, 3607, 20444, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 10602, 269, 10602, 260, 476, 7511, 17958, 16043, 371, 454, 19540, 483, 11858, 502, 418, 370, 486, 26033, 501, 16088, 1428, 269, 272, 15406, 267, 13127, 506, 357, 19867, 478, 20069, 5124, 274, 17276, 493, 494, 11590, 353, 18809, 16583, 375, 420, 368, 354, 29072, 5655, 269, 5379, 260, 476, 7511, 17958, 16043, 371, 454, 20881, 504, 13213, 485, 418, 369, 489, 13644, 499, 17958, 28032, 489, 16088, 6321, 1315, 476, 6321, 454, 18411, 5035, 8827, 912, 825, 1219, 12969, 4311, 267, 15358, 272, 281, 5903, 27776, 3910, 15358, 273, 281, 5903, 27776, 8079, 9847, 5903, 27776, 14158, 1038, 2132, 1592, 9230, 290, 3300, 25225, 272, 264, 1299, 22388, 25225, 273, 26895, 324, 6123, 15405, 1363, 0, 18411, 342, 3994, 2626, 454, 18257, 7531, 5035, 8827, 24998, 2187, 825, 1219, 2262, 15031, 1181, 4311, 267, 4806, 267, 1193, 2187, 1038, 8173, 1038, 2433, 6943, 4806, 281, 1193, 454, 1038, 2433, 6943, 1193, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 1273, 338, 815, 1592, 263, 6312, 1181, 994, 1038, 1913, 815, 1193, 21858, 4590, 1038, 1948, 7682, 7003, 9638, 1846, 264, 2652, 7003, 263, 6919, 994, 1038, 952, 7003, 9638, 1846, 264, 11203, 7003, 263, 6919, 2187, 2018, 2132, 8771, 28329, 1038, 1273, 338, 273, 6919, 815, 31460, 1038, 585, 1775, 538, 1535, 9792, 12759, 9638, 1846, 15892, 2018, 1820, 1273, 338, 273, 6919, 454, 2018, 952, 1273, 338, 5157, 316, 538, 1273, 338, 273, 6919, 543, 1913, 5157, 316, 711, 538, 1273, 338, 273, 6919, 269, 11161, 10031, 3546, 952, 1273, 338, 273, 6919, 314, 335, 1846, 5157, 14963, 2652, 1913, 5157, 14158, 7386, 3136, 454, 3546, 3116, 912, 7386, 2132, 8771, 454, 2018, 8640, 1273, 338, 5157, 316, 538, 1273, 338, 273, 6919, 543, 1913, 5157, 316, 538, 1273, 338, 273, 6919, 269, 11161, 10031, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 1273, 338, 273, 6919, 314, 335, 1846, 5157, 14963, 815, 1913, 5157, 6540, 1038, 2132, 6936, 454, 1363, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 4806, 815, 834, 629, 9346, 4840, 825, 1193, 815, 834, 27594, 3032, 3032, 2915, 4840, 825, 7682, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 994, 825, 4806, 815, 834, 19487, 4840, 825, 1193, 815, 834, 13906, 3032, 3032, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 2020, 825, 4806, 815, 834, 19487, 19487, 4840, 825, 1193, 815, 834, 27594, 3032, 3165, 3165, 3032, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 2020, 825, 4806, 815, 834, 629, 9346, 4840, 825, 1193, 815, 834, 27594, 2915, 2915, 2915, 4840, 825, 7682, 711, 8827, 14061, 5320, 15031, 1181, 263, 6312, 1181, 267, 1193, 264, 0, 18411, 2791, 616, 1934, 2336, 7312, 678, 29025, 20054, 476, 11011, 269, 866, 4939, 540, 9226, 22347, 3827, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 3406, 30467, 4311, 267, 5119, 267, 3077, 2187, 1038, 8173, 1038, 2433, 6943, 5119, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 6943, 3077, 281, 703, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 952, 711, 5119, 912, 2018, 2132, 8771, 454, 1038, 952, 7003, 263, 9795, 314, 271, 8079, 2652, 476, 271, 912, 2018, 2132, 8771, 28329, 1038, 5044, 815, 11713, 1038, 585, 1016, 24512, 538, 5119, 912, 2018, 5044, 6834, 1016, 24512, 692, 1038, 952, 3077, 538, 5044, 912, 2018, 2132, 6936, 454, 1038, 3116, 912, 2018, 2132, 8771, 0, 18411, 327, 1662, 1305, 692, 305, 29025, 281, 476, 6942, 20444, 267, 5488, 982, 476, 4281, 269, 1691, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 300, 25514, 26402, 281, 476, 1691, 269, 277, 15406, 267, 1447, 982, 476, 10602, 269, 2764, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 18411, 5035, 8827, 912, 825, 1219, 5934, 21920, 21886, 5317, 4311, 267, 1913, 281, 5903, 314, 1598, 8079, 9847, 703, 912, 1038, 3982, 815, 1305, 263, 6919, 994, 1038, 585, 2262, 538, 1913, 912, 2018, 585, 1775, 538, 2039, 263, 272, 267, 7003, 27182, 15892, 3546, 3982, 269, 4134, 15258, 27182, 5157, 281, 476, 7481, 1038, 2132, 2040, 12759, 27182, 264, 1341, 476, 272, 585, 2262, 538, 3982, 9239, 18411, 339, 4471, 692, 305, 29025, 281, 476, 29214, 20444, 267, 5488, 982, 476, 7367, 269, 6021, 260, 540, 5124, 274, 2228, 22347, 3827, 585, 10374, 7402, 5317, 540, 9293, 563, 300, 25514, 26402, 281, 476, 1626, 269, 274, 15406, 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 ]

[ 0, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 20777, 1790, 531, 30308, 270, 692, 5035, 8827, 912, 825, 1219, 568, 21595, 30308, 4311, 267, 521, 281, 1193, 264, 9847, 536, 944, 912, 1038, 952, 711, 521, 912, 2018, 2132, 6936, 692, 1038, 840, 318, 4650, 815, 1412, 8339, 21860, 8443, 343, 31573, 3890, 585, 1535, 538, 521, 952, 1535, 18994, 10401, 3890, 610, 1535, 18994, 323, 13424, 3890, 7481, 1038, 9258, 815, 1412, 8339, 21860, 8443, 343, 31573, 3890, 585, 1535, 538, 521, 11468, 18737, 272, 316, 952, 1535, 18994, 10401, 3890, 610, 1535, 18994, 323, 13424, 3890, 20285, 1038, 1820, 263, 2181, 318, 4650, 994, 1038, 1820, 263, 516, 2091, 2020, 1038, 2132, 840, 318, 4650, 2652, 9258, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 18994, 21595, 30308, 2891, 288, 812, 267, 513, 1544, 267, 513, 12324, 281, 24861, 257, 4297, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 5035, 5903, 11966, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 12785, 815, 7183, 7531, 5035, 8827, 912, 825, 1219, 18419, 291, 340, 27289, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 1225, 318, 3650, 815, 2212, 454, 1038, 1247, 1225, 318, 3650, 568, 711, 7183, 912, 2018, 952, 1225, 318, 3650, 12785, 912, 3546, 10917, 318, 10113, 815, 1225, 318, 3650, 12785, 454, 3546, 952, 1225, 318, 3650, 22183, 2652, 10917, 318, 10113, 22183, 912, 7386, 1225, 318, 3650, 12785, 815, 10917, 318, 10113, 12785, 454, 3546, 3116, 912, 7386, 1225, 318, 3650, 815, 1225, 318, 3650, 12785, 454, 2018, 3116, 912, 3546, 2736, 692, 1038, 2132, 2212, 19638, 0, 258, 4179, 2517, 548, 564, 13892, 2593, 24579, 21793, 270, 574, 921, 618, 268, 1598, 1598, 13045, 258, 570, 7495, 302, 281, 2285, 513, 3070, 7531, 5035, 8827, 912, 825, 1219, 1193, 18360, 4311, 267, 18720, 23637, 281, 1193, 267, 13549, 281, 1193, 264, 9847, 703, 912, 1038, 952, 711, 18720, 23637, 912, 2018, 2132, 910, 272, 692, 1038, 585, 4994, 267, 1347, 538, 26246, 22607, 599, 23637, 2187, 2018, 952, 13549, 314, 271, 316, 2652, 1347, 912, 3546, 585, 1016, 16229, 267, 1775, 538, 26246, 263, 928, 539, 548, 314, 272, 281, 316, 2187, 7386, 952, 4994, 1341, 1016, 16229, 1341, 476, 272, 2999, 7003, 22607, 599, 23637, 2187, 13376, 952, 1775, 11203, 18720, 23637, 27709, 1341, 1016, 16229, 1341, 476, 272, 14158, 23351, 2736, 454, 7386, 3116, 912, 13376, 2132, 910, 272, 454, 3546, 3116, 912, 7386, 2132, 4994, 692, 1038, 2132, 910, 272, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 3070, 815, 8827, 4590, 825, 1820, 4433, 1828, 269, 1598, 18360, 2891, 12711, 12711, 2580, 834, 12711, 12711, 320, 27363, 825, 1820, 4433, 1828, 269, 1598, 18360, 2891, 15916, 2580, 834, 25900, 27363, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 692, 5814, 30220, 7531, 3698, 1292, 10031, 476, 1948, 17270, 1032, 6824, 4358, 689, 5162, 1151, 560, 823, 454, 22322, 476, 1948, 11261, 540, 5162, 1151, 560, 823, 538, 476, 1001, 276, 454, 476, 2588, 322, 1001, 276, 310, 5793, 22069, 560, 823, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 1321, 268, 2420, 476, 6860, 281, 4366, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 22322, 476, 1948, 30991, 540, 606, 24666, 1032, 454, 476, 1032, 291, 4851, 284, 323, 520, 8135, 6745, 574, 539, 12265, 5560, 904, 284, 18458, 269, 26237, 276, 994, 22322, 476, 1948, 11261, 540, 519, 4605, 454, 476, 2588, 322, 14630, 8170, 303, 27348, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 5881, 268, 1626, 476, 866, 281, 2004, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 476, 1948, 583, 322, 14630, 8170, 303, 27348, 284, 323, 520, 8135, 6155, 520, 8135, 269, 5228, 529, 334, 8971, 2891, 1001, 276, 268, 6021, 268, 2537, 476, 866, 281, 2004, 281, 876, 269, 1822, 266, 876, 281, 876, 5602, 8931, 476, 1033, 320, 11742, 284, 583, 322, 14630, 8170, 303, 27348, 268, 583, 322, 1001, 276, 310, 5793, 22069, 560, 823, 454, 22322, 476, 1820, 263, 583, 322, 1001, 276, 310, 5793, 22069, 560, 823, 994, 476, 1820, 12169, 792, 291, 4851, 994, 476, 1820, 263, 583, 322, 14630, 8170, 303, 27348, 994, 476, 1820, 5560, 9508, 11742, 994, 476, 1820, 5560, 9508, 11742, 270, 20204, 291, 4851, 994, 22322, 22322, 258, 476, 5785, 14343, 734, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1292, 10797, 692, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 476, 7531, 3698, 1292, 10031, 476, 585, 513, 538, 2039, 263, 272, 267, 1911, 2187, 825, 585, 536, 538, 2039, 263, 272, 267, 1911, 2187, 8587, 585, 524, 538, 2039, 263, 272, 267, 1911, 2187, 1038, 521, 30381, 265, 320, 17070, 265, 321, 25239, 265, 322, 454, 1038, 952, 630, 11274, 4433, 268, 1911, 876, 264, 283, 273, 2187, 16875, 1820, 19304, 4433, 11924, 9899, 834, 266, 1598, 5416, 11924, 257, 834, 266, 1598, 6357, 11924, 257, 834, 266, 1598, 6262, 11723, 258, 476, 5785, 14343, 734, 454, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 476, 1292, 4590, 0, 5814, 21795, 607, 19073, 692, 258, 8794, 17455, 553, 547, 1224, 26417, 6119, 454, 311, 815, 19073, 18667, 32269, 2891, 11907, 318, 273, 323, 27406, 2580, 20927, 815, 7183, 994, 2745, 263, 6943, 11583, 4917, 2745, 11583, 29335, 15405, 258, 1729, 917, 519, 9343, 454, 2745, 11583, 23584, 15405, 2745, 11583, 23584, 263, 274, 11723, 258, 935, 31844, 547, 5119, 454, 332, 815, 2473, 269, 11161, 454, 2745, 263, 6943, 9852, 4917, 258, 326, 1161, 6241, 2418, 540, 782, 5036, 454, 2745, 263, 6943, 11583, 314, 271, 8079, 2020, 258, 1729, 1205, 9343, 454, 2745, 11583, 269, 559, 665, 314, 271, 7481, 2745, 11583, 7456, 665, 314, 274, 20285, 258, 1729, 1205, 476, 271, 543, 476, 273, 526, 9587, 692, 2745, 11583, 314, 314, 271, 267, 273, 316, 7481, 2745, 11583, 314, 311, 314, 271, 316, 283, 276, 8079, 0, 5814, 11885, 607, 5286, 692, 2993, 815, 1496, 272, 267, 273, 267, 274, 2639, 288, 815, 5286, 15126, 8443, 272, 267, 273, 267, 274, 20285, 1721, 1775, 538, 15073, 912, 825, 1820, 9217, 2020, 1721, 1775, 538, 589, 912, 825, 1820, 9217, 2020, 2993, 6910, 263, 275, 994, 2993, 6910, 263, 276, 2020, 2745, 263, 2993, 2020, 258, 514, 1931, 585, 4946, 1142, 3693, 547, 621, 538, 1592, 649, 723, 547, 8520, 627, 8811, 322, 568, 711, 2556, 538, 11885, 692, 331, 273, 815, 11713, 1721, 1775, 538, 15073, 912, 825, 561, 273, 6910, 9217, 266, 328, 994, 2745, 10857, 273, 2020, 258, 9795, 1840, 454, 2745, 10490, 266, 288, 994, 2745, 263, 273, 265, 288, 2020, 258, 20123, 328, 6473, 29156, 519, 1592, 454, 2745, 263, 273, 265, 331, 273, 2020, 331, 274, 815, 11713, 1721, 1775, 538, 561, 273, 912, 825, 561, 274, 6910, 9217, 1262, 273, 2020, 2745, 10857, 274, 994, 2745, 10490, 1262, 273, 2020, 2745, 18828, 28460, 10490, 4917, 2745, 18828, 269, 10339, 10490, 4917, 2745, 18828, 28802, 10490, 4297, 0, 5814, 4633, 318, 13440, 10744, 607, 521, 337, 1477, 337, 815, 521, 337, 10611, 1815, 1758, 6500, 31476, 258, 1326, 3593, 3403, 585, 32197, 5897, 12803, 529, 16591, 815, 8771, 1477, 6112, 3758, 529, 16591, 2652, 8771, 6769, 825, 1820, 2891, 11767, 32197, 281, 834, 3418, 825, 3593, 18316, 815, 3403, 31476, 825, 2119, 6769, 1038, 3758, 318, 15953, 476, 815, 1930, 263, 12528, 18316, 3418, 1038, 1820, 2891, 17572, 1336, 257, 10142, 825, 4849, 1401, 4003, 607, 552, 6769, 1038, 1820, 2891, 2750, 4003, 281, 834, 1341, 1598, 16216, 264, 10142, 825, 1948, 21671, 1930, 952, 568, 530, 822, 3758, 1477, 825, 1820, 630, 12803, 318, 15953, 20508, 3418, 825, 952, 3758, 318, 15953, 20508, 269, 1742, 5976, 3488, 269, 342, 822, 262, 8029, 1363, 1820, 2891, 529, 530, 822, 14744, 1363, 3758, 529, 16591, 18989, 1477, 825, 3116, 6769, 1038, 1820, 2891, 529, 711, 5951, 269, 2119, 1586, 14744, 1038, 1948, 1410, 527, 3890, 476, 24653, 14588, 3663, 339, 284, 338, 337, 6993, 644, 1470, 17572, 263, 12528, 18316, 3418, 5976, 4633, 339, 607, 2707, 6769, 825, 8301, 815, 678, 269, 13440, 867, 4433, 1830, 3418, 339, 787, 6769, 825, 521, 815, 678, 269, 13440, 1758, 1125, 318, 2998, 4355, 5416, 644, 1470, 3418, 825, 1820, 2891, 17806, 281, 834, 266, 338, 3418, 21955, 1401, 4003, 607, 552, 6769, 825, 1820, 2891, 2750, 4003, 281, 834, 266, 1598, 16216, 264, 10142, 2745, 2891, 11767, 6206, 5320, 281, 834, 10142, 258, 4486, 5320, 815, 834, 4134, 326, 755, 532, 29177, 4486, 5320, 815, 3403, 31476, 2745, 2891, 7659, 5320, 281, 834, 1341, 4486, 5320, 10142, 4486, 12248, 815, 521, 29644, 31107, 5320, 10142, 2745, 2891, 7659, 12248, 281, 834, 1341, 1598, 31107, 12248, 17903, 0, 258, 30352, 267, 10002, 22326, 267, 4632, 692, 5228, 19523, 1104, 2415, 341, 567, 1948, 10912, 606, 1104, 547, 1039, 19523, 9074, 630, 331, 3869, 264, 689, 9226, 282, 989, 337, 341, 6763, 585, 4661, 4756, 543, 621, 3180, 519, 7440, 596, 1780, 547, 5124, 7097, 454, 27771, 267, 1101, 267, 2034, 267, 3791, 267, 8772, 815, 2415, 341, 1948, 713, 4971, 1491, 8726, 538, 989, 337, 341, 267, 10002, 871, 621, 267, 543, 3651, 621, 547, 519, 4632, 593, 519, 2451, 538, 1931, 692, 2745, 2891, 1492, 7097, 1572, 24333, 7097, 994, 2745, 2891, 20365, 1101, 15254, 2967, 762, 568, 24333, 1101, 994, 2745, 2891, 20365, 2034, 4756, 568, 24333, 2034, 994, 2745, 2891, 20365, 3791, 4756, 568, 24333, 3791, 994, 2745, 2891, 20365, 8772, 4756, 568, 2580, 8772, 994, 0, 258, 1592, 543, 8520, 692, 1492, 18045, 815, 1496, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 316, 476, 1948, 1818, 513, 1592, 454, 325, 21209, 815, 18358, 1952, 956, 3299, 1412, 528, 5190, 3299, 1412, 701, 1513, 3299, 1412, 777, 878, 1824, 23300, 4219, 815, 1496, 272, 267, 1412, 335, 3317, 625, 3299, 476, 273, 267, 1412, 323, 1307, 3299, 476, 274, 267, 1412, 18392, 23300, 6339, 1540, 8217, 815, 20886, 272, 267, 476, 273, 267, 476, 274, 3910, 18358, 1889, 3299, 1412, 9767, 3299, 1412, 29442, 11172, 316, 1948, 1118, 513, 1592, 538, 513, 1592, 692, 258, 585, 2000, 17274, 692, 1721, 1297, 538, 519, 18045, 281, 567, 1948, 10416, 8380, 834, 1492, 18045, 257, 9115, 538, 4756, 834, 15893, 4840, 825, 1820, 6600, 21893, 568, 1293, 2715, 15893, 348, 15419, 1721, 4829, 538, 5613, 912, 825, 1820, 6600, 21202, 4829, 540, 1826, 2715, 26258, 348, 15419, 1721, 1775, 538, 1689, 912, 825, 1820, 6600, 19285, 3893, 2715, 328, 348, 15419, 1721, 6221, 538, 2121, 1540, 8217, 912, 825, 1820, 6600, 257, 346, 14403, 348, 2982, 875, 547, 1592, 538, 513, 1592, 1701, 264, 476, 1948, 713, 786, 2132, 281, 1496, 272, 267, 476, 273, 267, 476, 274, 316, 2982, 875, 547, 1592, 538, 513, 1592, 563, 14030, 14030, 672, 1948, 18358, 1889, 3299, 1412, 9767, 3299, 1412, 29442, 11172, 2982, 875, 547, 1592, 538, 513, 1592, 780, 324, 6123, 815, 32582, 476, 1948, 1118, 606, 8900, 1592, 692, 1721, 1775, 538, 2039, 263, 271, 267, 476, 277, 2567, 476, 1948, 2322, 519, 2338, 538, 519, 2039, 540, 476, 271, 547, 476, 276, 3330, 4756, 834, 328, 4840, 825, 1820, 6600, 257, 29002, 2715, 328, 348, 547, 519, 1592, 23528, 825, 2609, 6910, 9217, 264, 1948, 16289, 786, 1039, 9115, 538, 834, 328, 257, 547, 519, 8900, 1592, 834, 324, 6123, 5016, 1721, 1775, 538, 2609, 912, 825, 1820, 6600, 257, 292, 2211, 729, 281, 2715, 328, 348, 15419, 21745, 1080, 815, 29129, 1721, 9704, 538, 2039, 263, 271, 267, 476, 277, 2187, 825, 1820, 6600, 257, 6034, 569, 1039, 2715, 21745, 1080, 348, 547, 8900, 1592, 5602 ]

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

[ 539, 909, 547, 7366, 540, 844, 23605, 563, 6124, 13339, 2861, 7061, 11353, 3132, 22726, 602, 949, 1683, 519, 4493, 585, 7061, 4950, 543, 17747, 5904, 267, 4080, 538, 4873, 476, 1708, 273, 454, 12867, 693, 4516, 779, 17363, 2605, 6471, 2160, 723, 3144, 513, 1007, 1413, 693, 13339, 1107, 606, 3693, 2907, 693, 519, 8998, 540, 2413, 2780, 13365, 1107, 547, 1118, 7061, 11353, 267, 610, 968, 638, 23605, 6100, 2290, 1935, 267, 3370, 538, 7186, 267, 568, 547, 946, 519, 968, 31688, 517, 1606, 11017, 892, 3812, 676, 12889, 538, 13339, 607, 513, 24923, 269, 1975, 514, 568, 606, 17271, 3959, 540, 5536, 899, 22726, 267, 799, 568, 513, 1826, 540, 16070, 11610, 269, 3487, 2873, 666, 581, 2219, 540, 607, 18343, 899, 513, 1283, 1107, 519, 5536, 616, 2901, 18343, 909, 610, 1524, 630, 3697, 7432, 519, 1283, 26700, 1524, 1040, 5455, 543, 1524, 666, 4061, 581, 12261, 883, 3283, 543, 4642, 525, 563, 19853, 1382, 267, 3370, 538, 7186, 2073, 6257, 741, 7422, 540, 936, 476, 5611, 267, 1822, 13339, 2048, 307, 8998, 685, 27141, 1606, 11017, 844, 23605, 267, 606, 1271, 24182, 602, 796, 331, 4169, 7525, 3255, 547, 4020, 2527, 1947, 27249, 7061, 5904, 543, 519, 7061, 4950, 602, 786, 1921, 873, 563, 303, 770, 1382, 814, 8612, 602, 13339, 666, 3132, 930, 540, 519, 1034, 7123, 543, 1279, 24331, 844, 23605, 538, 519, 2872, 269, 3767, 519, 1382, 3370, 676, 12253, 11612, 6265, 321, 18847, 267, 5981, 918, 24642, 329, 1014, 267, 543, 1071, 22052, 4243, 2488, 6169, 540, 6240, 602, 570, 18013, 267, 513, 1808, 561, 29061, 1417, 8919, 538, 13339, 267, 666, 1683, 513, 2048, 31688, 4577, 3095, 685, 1063, 844, 23605, 269, 901, 2501, 856, 540, 519, 24700, 308, 28541, 17747, 5303, 6997, 538, 24700, 308, 779, 8212, 4972, 267, 1071, 21445, 676, 5153, 7315, 773, 3244, 332, 976, 267, 4516, 3194, 17348, 538, 28541, 17747, 16370, 543, 7812, 634, 342, 5306, 267, 7905, 9622, 7978, 563, 22154, 960, 568, 519, 1101, 6482, 540, 2582, 570, 18013, 514, 10072, 267, 543, 2965, 267, 519, 1101, 6482, 540, 1022, 2582, 8095, 538, 13339, 547, 581, 5340, 609, 1152, 9804, 7403, 2223, 3081, 5153, 7315, 773, 3244, 332, 976, 563, 2108, 2304, 900, 7867, 899, 519, 570, 8998, 602, 10905, 1164, 26024, 8095, 844, 23605, 543, 9804, 27141, 5108, 568, 4998, 547, 1118, 27249, 267, 7856, 267, 7061, 5904, 267, 1317, 789, 666, 6023, 519, 4393, 543, 519, 10618, 1927, 267, 2864, 982, 17596, 547, 8818, 1079, 1114, 7061, 4066, 267, 835, 585, 4393, 543, 835, 585, 10618, 2223, 3244, 332, 976, 3081, 563, 1103, 1840, 267, 570, 18013, 723, 519, 5413, 540, 32749, 1769, 693, 519, 1482, 15423, 602, 2221, 779, 23195, 20249, 10618, 543, 7658, 1260, 13033, 3937, 946, 563, 2108, 4415, 570, 18013, 267, 596, 666, 1628, 7061, 21932, 602, 20244, 5968, 609, 824, 21932, 2223, 3244, 332, 976, 3081, 269, 968, 2691, 707, 13339, 844, 4226, 666, 5968, 676, 32749, 22726, 630, 2775, 264, 538, 519, 1482, 6512, 1031, 538, 1239, 18013, 543, 6775, 5121, 267, 596, 1205, 891, 1482, 2640, 585, 8220, 519, 6634, 540, 844, 23605, 2877, 585, 7061, 7384, 3034, 6635, 337, 2526, 540, 28541, 1759, 7061, 7471, 11387, 454, 303, 1886, 7859, 540, 519, 13339, 4480, 1294, 2101, 5383, 538, 1210, 513, 19202, 547, 3009, 844, 23605, 269, 1358, 666, 581, 26203, 1454, 811, 3274, 1210, 18784, 3167, 5012, 31960, 1318, 5196, 519, 13863, 269, 1656, 952, 519, 1482, 1804, 8397, 5663, 2553, 585, 1818, 13365, 1223, 581, 11843, 547, 519, 7061, 7706, 267, 621, 1223, 1831, 4443, 547, 2490, 519, 2029, 883, 5010, 2472, 563, 4913, 267, 10128, 18328, 5308, 11418, 543, 13339, 2861, 844, 23605, 883, 513, 2582, 267, 1395, 18070, 13863, 12235, 1082, 2591, 269, 769, 930, 24947, 267, 966, 299, 10485, 2029, 267, 7064, 547, 922, 1445, 593, 10893, 519, 1764, 540, 1184, 8390, 267, 18715, 513, 1377, 540, 10063, 322, 2225, 602, 1100, 824, 2872, 666, 1683, 269, 1717, 267, 538, 519, 7061, 7706, 267, 13260, 4203, 2231, 513, 1454, 2362, 4110, 540, 2956, 269, 4634, 513, 2582, 10570, 7400, 8919, 630, 1721, 1383, 538, 519, 2298, 540, 519, 17103, 610, 519, 19454, 543, 16358, 6541, 540, 519, 1570, 264, 949, 1291, 7061, 3457, 547, 1685, 1360, 8335, 563, 7212, 1312, 4066, 666, 581, 14475, 1210, 4540, 13339, 4853, 3157, 267, 891, 3157, 4867, 4125, 1114, 6639, 9136, 282, 602, 568, 267, 789, 2308, 5594, 1114, 4393, 4441, 543, 10873, 693, 519, 5663, 3942, 269, 589, 1455, 968, 5035, 673, 6709, 656, 636, 892, 6843, 786, 723, 547, 581, 2919, 543, 19597, 730, 547, 3132, 10316, 7061, 11387, 693, 4336, 563, 17359, 5610, 849, 10522, 602, 1312, 4066, 786, 723, 547, 7500, 693, 519, 1482, 2837, 269, 901, 1966, 568, 1875, 2389, 337, 20190, 2016, 602, 844, 23605, 7500, 1732, 693, 2620, 3956, 8328, 5210, 630, 320, 1906, 1984, 1731, 601, 9109, 1070, 1247, 519, 1699, 3631, 585, 7471, 2275, 1844, 3726, 1374, 616, 10355, 4977, 585, 5210, 2630, 476, 736, 918, 269, 4197, 519, 7180, 540, 13339, 27820, 630, 32355, 607, 3059, 610, 607, 1387, 4084, 5547, 2609, 264, 693, 1984, 1731, 601, 9109, 5210, 786, 2154, 513, 1646, 4674, 540, 922, 1378, 269, 1677, 1489, 602, 4674, 267, 3173, 786, 991, 547, 1020, 5730, 3631, 602, 666, 581, 16865, 883, 4540, 5907, 2780, 8584, 3660, 1374, 2645, 563, 4504, 601, 645, 1115, 898, 2052, 12414, 28064, 28541, 883, 17747, 17270, 779, 24090, 7698, 454, 4504, 601, 779, 13339, 844, 23605, 2099, 1239, 538, 513, 7061, 3959, 1572, 519, 968, 4944, 514, 892, 540, 513, 2582, 6475, 16290, 3330, 513, 9168, 4528, 540, 519, 27820, 538, 922, 4540, 5010, 13365, 269, 968, 763, 4126, 568, 602, 952, 649, 1118, 519, 1655, 27820, 267, 1287, 609, 513, 1906, 1570, 543, 1374, 2242, 649, 666, 1118, 519, 1655, 844, 23605, 2223, 3081, 22548, 651, 269, 634, 1374, 540, 519, 8095, 844, 4226, 21932, 3810, 20998, 519, 2757, 13339, 24923, 4066, 269, 2755, 972, 616, 1883, 3621, 543, 4702, 2591, 6967, 547, 4336, 713, 2029, 267, 27311, 814, 519, 3937, 543, 5989, 689, 5756, 540, 5958, 908, 27820, 693, 4336, 563, 763, 2754, 5063, 7000, 922, 17646, 5006, 7061, 13863, 2943, 1700, 527, 779, 865, 1507, 602, 621, 666, 1694, 20354, 593, 513, 15513, 2144, 6471, 269, 634, 13863, 568, 13324, 676, 844, 23605, 602, 616, 1142, 811, 982, 513, 8536, 2053, 4130, 982, 513, 2582, 18843, 540, 4552, 269, 769, 513, 6093, 21367, 532, 7061, 2780, 267, 844, 23605, 2661, 538, 1507, 17787, 540, 21367, 532, 5911, 22799, 547, 1360, 1970, 5210, 269, 27311, 779, 24923, 6954, 13863, 12346, 593, 513, 811, 19242, 267, 11593, 2139, 267, 543, 30883, 24207, 569, 2757, 5057, 281, 13339, 269, 2368, 3173, 2161, 519, 27164, 3693, 602, 6273, 606, 2872, 630, 663, 513, 14165, 267, 513, 8013, 8027, 2344, 267, 543, 513, 8613, 1397, 264, 1522, 581, 1883, 585, 519, 1985, 5123, 540, 7061, 7384, 563, 4504, 601, 814, 11827, 513, 8095, 844, 4226, 21753, 2095, 593, 922, 476, 4968, 6515, 1184, 2029, 1210, 13666, 641, 1227, 6986, 530, 2378, 619, 21433, 4481, 585, 519, 2504, 540, 8095, 6709, 4226, 1449, 13365, 269, 28577, 730, 538, 519, 1482, 9744, 607, 27311, 779, 4359, 24923, 4066, 267, 27311, 568, 1631, 4152, 519, 3355, 530, 2378, 619, 269, 10738, 513, 7008, 540, 3275, 267, 27311, 26770, 547, 581, 6721, 1082, 530, 2378, 619, 829, 3018, 267, 1142, 609, 5215, 540, 1507, 844, 4226, 14249, 563, 763, 1007, 1184, 602, 2337, 27311, 4603, 609, 13339, 844, 23605, 593, 3044, 13863, 530, 2378, 619, 267, 2919, 609, 519, 2326, 3549, 772, 1066, 1723, 543, 5794, 700, 1172, 728, 267, 1058, 948, 3432, 909, 922, 1382, 267, 3081, 12448, 667, 345, 3120, 330, 267, 945, 1568, 593, 13339, 844, 23605, 693, 519, 2160, 540, 1715, 3162, 12986, 538, 5245, 269, 14992, 3384, 21367, 532, 844, 23605, 849, 1118, 873, 1210, 4540, 13863, 21753, 2409, 269, 1809, 519, 4611, 3457, 616, 3677, 982, 27820, 267, 543, 972, 568, 1100, 10959, 585, 875, 547, 5478, 543, 10189, 873, 909, 538, 1804, 2338, 267, 3081, 667, 345, 3120, 330, 563, 5194, 1883, 20159, 267, 8891, 3279, 11363, 267, 568, 968, 332, 1468, 267, 1570, 267, 1570, 1848, 1975, 514, 844, 23605, 2154, 24215, 2973, 13339, 267, 538, 2474, 540, 3114, 19454, 543, 13666, 8084, 23918, 563, 4504, 601, 779, 1895, 814, 4080, 602, 789, 666, 1631, 4494, 519, 16600, 1790, 675, 13339, 2877, 585, 513, 7061, 2780, 5196, 519, 3044, 530, 2378, 619, 1031, 538, 13863, 15327, 269, 589, 7061, 2780, 1131, 991, 547, 723, 5215, 610, 6634, 540, 844, 23605, 547, 581, 17618, 3730, 267, 543, 547, 1205, 547, 7366, 540, 5215, 540, 844, 23605, 267, 649, 786, 991, 6909, 4702, 10727, 267, 543, 602, 568, 519, 10689, 5658, 540, 519, 19202, 2872, 267, 2687, 547, 12448, 667, 345, 3120, 330, 267, 945, 1568, 593, 13339, 844, 23605, 693, 519, 2160, 540, 1715, 3162, 12986, 538, 5245, 3081, 269, 6271, 2601, 547, 960, 593, 13339, 844, 23605, 568, 602, 789, 1058, 581, 811, 6325, 982, 519, 21367, 532, 5973, 757, 563, 22068, 6625, 17747, 17270, 623, 1399, 269, 13456, 269, 630, 306, 304, 290, 264, 568, 2324, 547, 1711, 543, 5010, 1125, 513, 7061, 2780, 1759, 593, 1158, 6122, 8172, 7214, 3959, 9715, 689, 519, 8241, 10418, 540, 28742, 585, 17747, 6156, 566, 543, 9442, 5303, 630, 290, 304, 290, 273, 307, 1040, 1284, 723, 1305, 6000, 513, 12050, 20440, 281, 547, 1020, 513, 476, 1015, 6709, 4226, 7061, 7471, 5547, 18634, 538, 13339, 676, 476, 1708, 273, 563, 23797, 636, 18289, 21048, 2812, 476, 280, 29364, 13339, 844, 4226, 454, 23797, 636, 18289, 267, 513, 2185, 4458, 6040, 5177, 2861, 23492, 568, 9307, 538, 4728, 476, 1708, 272, 513, 7061, 7384, 14634, 267, 11744, 602, 513, 7123, 844, 4226, 666, 581, 2813, 593, 513, 3044, 13339, 13863, 267, 2147, 547, 1346, 1031, 538, 16389, 269, 1635, 9023, 519, 13863, 1524, 547, 513, 2837, 1175, 1657, 6207, 4642, 630, 6629, 24129, 9180, 1070, 543, 676, 1210, 6263, 27820, 267, 519, 17747, 18289, 2319, 941, 2111, 547, 20586, 513, 2582, 6475, 543, 2268, 922, 7061, 1533, 585, 606, 4230, 15929, 8370, 7643, 269, 634, 6602, 814, 1044, 9263, 24595, 538, 519, 3621, 4760, 11553, 311, 17747, 563, 11990, 18200, 517, 267, 7548, 540, 6289, 29741, 16361, 693, 772, 12710, 543, 1071, 325, 10133, 540, 17747, 18289, 1767, 519, 17747, 18289, 4480, 1223, 581, 968, 320, 29685, 547, 30246, 938, 1259, 547, 4853, 8397, 7061, 13863, 2504, 892, 26378, 883, 519, 2907, 4540, 13339, 13863, 2872, 269, 2986, 1576, 267, 17747, 18289, 814, 7152, 1175, 835, 844, 4226, 267, 799, 949, 711, 3100, 1360, 11141, 3379, 547, 519, 476, 2004, 266, 844, 23605, 602, 723, 1044, 6913, 676, 5616, 543, 22126, 563, 2108, 13828, 476, 272, 844, 4226, 543, 476, 2004, 844, 23605, 616, 3592, 8449, 2484, 2476, 689, 476, 272, 332, 269, 2368, 4066, 949, 581, 18334, 538, 3478, 547, 476, 1015, 610, 1256, 476, 2004, 844, 23605, 855, 1131, 6560, 1310, 602, 269, 634, 1883, 568, 547, 1265, 1945, 602, 568, 5963, 27249, 2223, 646, 5143, 590, 26661, 269, 2368, 540, 519, 7061, 7384, 4066, 949, 849, 581, 3833, 4439, 5652, 950, 596, 4336, 909, 547, 2789, 5215, 540, 844, 23605, 269, 1809, 538, 3069, 267, 513, 2929, 540, 17747, 18289, 779, 6475, 1606, 11017, 844, 23605, 1223, 581, 14095, 5196, 513, 476, 272, 9492, 4009, 13863, 269, 1411, 1131, 1869, 991, 519, 14969, 669, 28888, 1512, 6438, 21067, 547, 1832, 519, 13365, 693, 513, 6824, 540, 513, 737, 601, 9109, 1657, 6207, 4642, 267, 855, 1175, 835, 971, 21067, 2443, 2147, 538, 2450, 547, 513, 7746, 24646, 2443, 666, 3180, 1082, 13365, 563, 23797, 636, 18289, 568, 835, 540, 513, 1297, 540, 7061, 2780, 3549, 602, 616, 3843, 547, 1711, 7061, 7384, 3334, 856, 540, 811, 11593, 268, 19989, 2326, 269, 5177, 2861, 10758, 7563, 267, 585, 1383, 267, 568, 1210, 3044, 9804, 10814, 1031, 538, 519, 7658, 1260, 338, 2872, 547, 20586, 2582, 22726, 585, 946, 607, 844, 23605, 269, 6270, 606, 1935, 267, 952, 3811, 267, 1131, 13497, 6175, 519, 1942, 540, 2679, 513, 7061, 2780, 267, 689, 9937, 540, 6634, 540, 9489, 547, 1447, 982, 1269, 272, 332, 563, 27066, 543, 8249, 849, 1331, 281, 0, 19111, 5530, 540, 513, 9540, 17361, 681, 27654, 744 ]

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

[ 320, 539, 634, 10417, 454, 1993, 17520, 267, 519, 1101, 1163, 3789, 593, 4160, 269, 476, 7277, 279, 1107, 28599, 16456, 11832, 1912, 710, 553, 717, 720, 454, 17495, 513, 476, 274, 20356, 11425, 9141, 998, 1010, 2634, 543, 10265, 538, 606, 14885, 1161, 8009, 267, 18385, 454, 577, 4474, 1010, 7209, 267, 30507, 3621, 6644, 827, 2634, 3252, 1373, 454, 29985, 14184, 269, 476, 7277, 280, 1107, 590, 21417, 1066, 918, 1512, 651, 8615, 731, 3370, 634, 454, 306, 32169, 772, 660, 334, 12280, 269, 2525, 284, 6977, 271, 338, 2525, 23751, 6977, 273, 1107, 19555, 2335, 20769, 2763, 3370, 6481, 10017, 610, 25665, 540, 519, 31522, 563, 6977, 277, 1107, 19555, 2335, 20769, 2763, 3459, 13629, 1010, 476, 274, 31891, 3172, 636, 1566, 639, 631, 1731, 549, 330, 657, 21573, 630, 6977, 277, 1700, 5038, 13211, 1173, 5224, 602, 2067, 4031, 540, 538, 534, 1493, 3615, 4019, 547, 1480, 8186, 543, 4703, 855, 723, 519, 454, 10818, 540, 7175, 721, 547, 2832, 585, 519, 2418, 1305, 676, 519, 25976, 267, 3976, 1818, 4055, 585, 15312, 563, 6977, 280, 1107, 24839, 645, 686, 21103, 3370, 3004, 924, 7885, 1664, 1696, 634, 7764, 1664, 632, 700, 685, 20812, 3122, 773, 269, 2525, 284, 5908, 271, 338, 2525, 23751, 5908, 271, 338, 1107, 8071, 29234, 667, 1180, 619, 1101, 1031, 1480, 5114, 942, 547, 18505, 3604, 538, 5042, 454, 30112, 269, 476, 5908, 271, 1107, 29775, 822, 23323, 528, 3171, 1013, 518, 3370, 454, 292, 6123, 540, 5369, 2684, 12695, 267, 15713, 519, 1641, 540, 2618, 2684, 12695, 563, 5908, 272, 1107, 6754, 7935, 8619, 4362, 606, 1858, 538, 519, 2451, 19548, 21571, 602, 568, 1271, 454, 1721, 4633, 2504, 267, 1631, 1634, 607, 7935, 8619, 779, 1858, 267, 15713, 5778, 17595, 1108, 563, 5908, 280, 1107, 14731, 8895, 2023, 3370, 670, 1229, 3202, 2637, 3780, 267, 19163, 585, 552, 1872, 523, 923, 269, 1261, 4682, 593, 547, 454, 11398, 2618, 6248, 338, 267, 11186, 6530, 267, 543, 519, 30827, 8367, 540, 7209, 269, 2525, 284, 6942, 271, 338, 2525, 23751, 6942, 273, 1107, 19958, 1975, 531, 3429, 3370, 1010, 6602, 540, 5626, 29501, 532, 563, 6942, 275, 1107, 30247, 654, 1495, 339, 3370, 30421, 526, 345, 6686, 613, 3541, 28772, 860, 4593, 1156, 5369, 860, 773, 630, 7468, 514, 3321, 454, 1993, 4284, 8344, 10017, 1070, 519, 1101, 1837, 540, 8097, 6530, 563, 6942, 279, 1107, 717, 269, 26304, 8065, 729, 13752, 519, 1101, 12854, 593, 513, 5626, 1888, 689, 12370, 454, 263, 514, 6138, 1040, 476, 6942, 280, 1107, 30247, 654, 1495, 339, 8118, 519, 1101, 8097, 454, 17595, 1108, 8047, 693, 519, 2160, 540, 2274, 760, 345, 580, 538, 5125, 269, 2525, 284, 6642, 271, 338, 2525, 23751, 6642, 273, 1107, 634, 5980, 585, 5369, 673, 3194, 729, 8547, 538, 4789, 563, 6642, 274, 1107, 717, 269, 26304, 8065, 8118, 519, 1101, 1977, 8097, 6530, 1382, 454, 331, 1987, 2218, 693, 8592, 22846, 2160, 269, 476, 6642, 274, 1107, 2506, 559, 26689, 788, 601, 514, 3370, 3281, 754, 1756, 454, 1457, 5369, 9332, 4471, 269, 476, 6642, 275, 1107, 25909, 623, 822, 21754, 3459, 4974, 519, 9667, 454, 572, 17917, 540, 2831, 269, 476, 6642, 275, 1107, 29110, 4958, 974, 779, 15540, 729, 1101, 4330, 563, 6642, 276, 1107, 19555, 2335, 661, 25290, 27346, 3370, 3331, 506, 828, 546, 553, 717, 539, 7564, 19816, 23036, 630, 4002, 15350, 1070, 513, 14262, 454, 1740, 1759, 593, 1582, 7721, 704, 9323, 267, 1101, 10503, 519, 1565, 7455, 267, 30534, 7455, 267, 543, 454, 4944, 5217, 1198, 269, 476, 6642, 277, 1107, 3627, 1546, 28838, 3370, 519, 1101, 1977, 454, 3667, 1504, 593, 6530, 267, 11331, 10017, 269, 476, 6642, 277, 1107, 32157, 645, 2131, 6255, 699, 341, 3964, 519, 454, 14140, 8047, 540, 8097, 6530, 538, 6576, 693, 20673, 534, 2160, 563, 6642, 277, 1107, 590, 10176, 1495, 22506, 3459, 4357, 2259, 538, 21499, 563, 6642, 278, 1107, 9677, 18379, 553, 28228, 28705, 8118, 519, 476, 273, 526, 4436, 8097, 6530, 1382, 8047, 454, 514, 717, 7238, 339, 1154, 523, 269, 476, 6642, 278, 1107, 6723, 2558, 3518, 1638, 700, 5417, 630, 312, 1446, 264, 3370, 454, 292, 6123, 540, 4284, 8344, 10017, 267, 519, 1101, 1977, 1837, 547, 1331, 513, 8101, 454, 26920, 540, 1344, 593, 519, 1007, 8097, 1106, 540, 519, 9015, 563, 6642, 278, 1107, 6276, 21025, 8696, 595, 3430, 749, 8547, 606, 8097, 6530, 8047, 693, 519, 2160, 540, 454, 303, 523, 11796, 267, 519, 476, 274, 6113, 538, 519, 2136, 2276, 269, 476, 6642, 278, 1107, 717, 269, 26304, 8065, 8547, 519, 1977, 454, 22711, 540, 10017, 609, 513, 1269, 4335, 9295, 13859, 676, 7917, 623, 8986, 718, 8055, 540, 519, 1977, 454, 306, 1539, 1214, 585, 5369, 673, 3194, 269, 476, 6642, 279, 1107, 5261, 8899, 324, 21563, 534, 8547, 519, 2136, 454, 1805, 919, 685, 476, 275, 628, 8097, 6530, 8047, 693, 18518, 2160, 563, 6642, 279, 1107, 9478, 808, 770, 992, 8547, 519, 2136, 2276, 685, 476, 276, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 16855, 1700, 32743, 2581, 269, 476, 6642, 279, 1107, 717, 269, 26304, 8065, 2451, 8592, 22846, 454, 1721, 519, 24164, 540, 519, 9241, 8547, 18412, 2160, 538, 1937, 31569, 267, 7136, 563, 6642, 280, 1107, 6276, 4460, 25930, 7773, 3370, 519, 1101, 4320, 540, 1010, 18361, 540, 10017, 2676, 339, 12822, 968, 306, 1619, 543, 2271, 5878, 6100, 476, 6642, 280, 1107, 31611, 5842, 5112, 267, 513, 5449, 2875, 454, 1993, 717, 269, 26304, 8065, 8547, 519, 2136, 2276, 685, 476, 277, 628, 8097, 6530, 8047, 693, 454, 5141, 1046, 2160, 269, 476, 6642, 280, 1107, 11977, 21582, 956, 8547, 519, 2136, 454, 1805, 919, 685, 476, 278, 628, 8097, 6530, 8047, 693, 519, 32511, 6756, 1306, 23796, 538, 654, 11232, 2917, 267, 7136, 563, 6642, 280, 1107, 16452, 17340, 651, 16423, 324, 8547, 519, 2136, 2276, 685, 476, 279, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 27228, 269, 2525, 284, 6245, 271, 338, 2525, 23751, 6245, 271, 1107, 4168, 13153, 661, 327, 1066, 325, 1564, 3370, 2201, 519, 19120, 885, 540, 4813, 267, 15713, 30123, 5306, 454, 17595, 1108, 269, 476, 6245, 271, 1107, 5261, 6276, 3370, 634, 14362, 454, 1993, 10017, 269, 476, 6245, 271, 1107, 6276, 15917, 6577, 16515, 30835, 8547, 519, 2136, 454, 1805, 919, 685, 476, 280, 628, 8097, 6530, 8047, 693, 519, 2160, 540, 12309, 563, 6245, 271, 1107, 717, 269, 570, 269, 654, 269, 18536, 8547, 519, 2136, 2276, 685, 476, 1015, 628, 8097, 6530, 8047, 454, 520, 519, 2160, 540, 19578, 269, 476, 6245, 271, 1107, 6276, 21025, 8696, 595, 3430, 749, 2451, 12425, 454, 1721, 12052, 2160, 1141, 646, 8547, 519, 2136, 2276, 685, 476, 1556, 628, 8097, 6530, 454, 331, 1987, 2218, 269, 476, 6245, 271, 1107, 6276, 4460, 25930, 7773, 8547, 519, 1101, 454, 704, 2006, 550, 8097, 6530, 8047, 538, 519, 3703, 7276, 693, 519, 2160, 540, 454, 307, 528, 15193, 269, 476, 6245, 272, 1107, 7671, 4911, 749, 8547, 519, 2136, 2276, 20371, 1321, 628, 8097, 6530, 8047, 693, 519, 26658, 2160, 563, 6245, 272, 1107, 3798, 10542, 654, 6856, 3405, 1188, 4330, 519, 654, 6856, 3405, 1188, 1198, 267, 1141, 1004, 6659, 2038, 454, 514, 1272, 538, 2673, 6469, 16133, 2663, 1831, 964, 31731, 1242, 547, 2673, 4638, 16007, 2676, 24597, 6436, 827, 519, 1651, 652, 9184, 5622, 269, 476, 6245, 273, 1107, 717, 269, 26304, 8065, 1696, 620, 269, 8547, 519, 454, 13563, 16723, 5948, 630, 4338, 288, 1040, 476, 6245, 273, 1107, 11977, 17659, 5112, 25315, 7770, 518, 3576, 513, 454, 2889, 13940, 11208, 693, 26658, 2160, 267, 13868, 7671, 4911, 749, 945, 2451, 585, 18628, 2160, 563, 6245, 273, 1107, 11977, 24747, 518, 23075, 8547, 519, 8097, 6530, 8047, 693, 454, 312, 1446, 2160, 267, 519, 476, 866, 628, 538, 2136, 2276, 269, 476, 6245, 273, 1700, 6245, 274, 1107, 8176, 589, 269, 16200, 8118, 519, 454, 23024, 14939, 6530, 8047, 693, 519, 2160, 540, 9628, 267, 519, 476, 736, 628, 538, 519, 2136, 454, 1805, 919, 267, 693, 799, 6276, 18007, 1633, 4911, 749, 5342, 519, 1101, 6901, 540, 6198, 1143, 538, 454, 6245, 277, 269, 476, 6245, 275, 1107, 20152, 4469, 1195, 25169, 14315, 729, 519, 1101, 454, 30513, 547, 581, 11292, 513, 1912, 6185, 269, 538, 10017, 1310, 1352, 6594, 896, 661, 269, 645, 269, 25315, 7770, 518, 693, 454, 290, 1941, 749, 2160, 269, 476, 6245, 275, 1107, 6276, 21025, 8696, 595, 3430, 749, 543, 6276, 4460, 454, 289, 12245, 7773, 8547, 519, 16723, 5623, 547, 14526, 609, 8065, 779, 1977, 4750, 540, 10017, 563, 6245, 276, 1107, 29775, 1511, 2274, 12844, 3370, 634, 18844, 323, 281, 589, 5530, 540, 519, 15019, 9650, 563, 6245, 277, 1107, 3627, 1546, 28838, 3370, 519, 1957, 634, 4676, 2716, 20211, 10417, 538, 10017, 267, 15713, 454, 25791, 2623, 1143, 269, 476, 6245, 277, 1107, 634, 1101, 5626, 16758, 729, 454, 641, 2989, 693, 519, 2160, 540, 12425, 676, 8752, 1676, 31864, 1067, 282, 4352, 1419, 9976, 454, 553, 16287, 519, 4332, 540, 4791, 6530, 267, 621, 729, 5059, 5097, 593, 3872, 6927, 563, 6245, 277, 1107, 11977, 645, 269, 25315, 7770, 518, 267, 2875, 540, 30247, 654, 1495, 339, 543, 5169, 1807, 540, 519, 2474, 968, 560, 24780, 1143, 7536, 663, 968, 10818, 16117, 892, 3370, 1323, 20895, 540, 10017, 563, 6245, 278, 1107, 12794, 767, 1442, 32762, 3370, 20351, 769, 11437, 269, 476, 6245, 279, 1107, 16907, 529, 28788, 529, 3370, 634, 10017, 454, 1993, 21909, 542, 281, 589, 3194, 883, 519, 4427, 10940, 7186, 540, 2494, 543, 5980, 563, 6245, 280, 1107, 2201, 476, 275, 5437, 590, 10176, 1495, 22506, 3370, 634, 28604, 540, 14134, 338, 630, 291, 773, 3004, 636, 1372, 583, 2426, 13211, 5658, 532, 519, 4098, 540, 25164, 4519, 267, 799, 8942, 547, 4308, 609, 519, 744, 539, 7625, 1950, 269, 2525, 23562, 12351, 2540, 4499, 284, 5002, 271, 338, 2525, 23751, 5002, 272, 1107, 590, 10176, 1495, 22506, 3370, 634, 5369, 31752, 540, 28064, 5020, 563, 5002, 274, 1107, 3627, 645, 269, 23846, 21783, 689, 519, 2160, 540, 9628, 282, 1010, 12031, 593, 454, 7806, 2623, 814, 1044, 4330, 607, 513, 968, 5035, 545, 540, 11095, 2618, 984, 5735, 892, 676, 14787, 454, 1993, 6530, 18496, 667, 31974, 12064, 269, 476, 5002, 274, 1107, 24796, 16399, 26741, 2917, 3370, 454, 615, 25719, 12031, 267, 634, 10076, 3004, 1080, 540, 11557, 267, 585, 799, 1352, 1185, 5342, 519, 1101, 454, 23024, 14939, 1449, 540, 3023, 3604, 269, 476, 5002, 275, 1107, 25909, 623, 822, 21754, 4465, 519, 17587, 15356, 585, 454, 20130, 2090, 540, 14555, 269, 901, 729, 519, 1101, 15356, 2016, 585, 1382, 7550, 676, 454, 17595, 5505, 269, 476, 5002, 275, 1107, 8176, 4325, 1301, 534, 3370, 519, 2376, 454, 14197, 11106, 538, 519, 1977, 4750, 540, 10017, 267, 10962, 519, 575, 3815, 3069, 454, 1993, 4987, 269, 476, 5002, 276, 1107, 21238, 645, 6839, 543, 31187, 17363, 2813, 454, 1492, 645, 6839, 4149, 30266, 4336, 547, 2697, 1053, 17596, 3063, 948, 267, 16287, 519, 4098, 454, 1993, 13387, 5626, 4152, 269, 476, 5002, 276, 1107, 11977, 18897, 526, 833, 3370, 519, 1876, 454, 1993, 1198, 269, 476, 5002, 276, 1107, 590, 10176, 1495, 22506, 3370, 8422, 10749, 454, 517, 519, 7869, 540, 11557, 7081, 269, 476, 5002, 277, 1107, 634, 4750, 540, 2806, 7538, 10017, 454, 13195, 8547, 676, 18200, 517, 13584, 267, 585, 799, 16907, 529, 28788, 529, 729, 606, 12314, 9375, 543, 1713, 454, 4186, 1026, 12460, 269, 476, 5002, 279, 1107, 590, 10176, 1495, 22506, 3370, 519, 1957, 454, 4002, 519, 20351, 28636, 540, 5753, 267, 10962, 519, 1523, 540, 4050, 529, 679, 11803, 282, 646, 849, 3370, 454, 1492, 1957, 2048, 290, 2753, 1242, 685, 20351, 5651, 1275, 543, 7073, 32471, 748, 29520, 563, 5002, 279, 1107, 12070, 15728, 570, 8527, 614, 3370, 519, 1101, 1957, 7713, 519, 23636, 15859, 563, 5002, 280, 1107, 590, 10176, 1495, 22506, 7898, 3293, 693, 18412, 2160, 267, 10888, 936, 519, 772, 2529, 269, 10661, 269, 2525, 284, 4489, 271, 338, 2525, 23751, 4489, 271, 1107, 590, 10176, 1495, 22506, 8547, 519, 4139, 5369, 15351, 3315, 3749, 5948, 630, 296, 5183, 1070, 609, 14161, 454, 297, 2426, 607, 519, 1101, 7022, 267, 543, 32572, 24419, 607, 519, 1101, 23122, 563, 4489, 271, 1107, 24553, 24796, 13573, 543, 808, 269, 14472, 534, 4752, 3370, 519, 13573 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1341, 263, 611, 1288, 264, 543, 2608, 263, 20123, 328, 6473, 264, 12427, 666, 581, 1031, 609, 12673, 607, 6677, 22760, 2209, 5897, 7078, 476, 272, 6769, 320, 815, 476, 280, 1477, 321, 815, 476, 274, 1477, 2745, 5416, 1341, 536, 264, 476, 5897, 7078, 476, 273, 6769, 320, 815, 476, 3445, 1477, 321, 815, 476, 1789, 1477, 2745, 5416, 910, 536, 10142, 7078, 476, 274, 6769, 320, 815, 476, 273, 1477, 321, 815, 476, 276, 1477, 2745, 5416, 2608, 536, 10142, 7078, 476, 275, 6769, 2745, 263, 15615, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 17903, 2745, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 3418, 2745, 17301, 263, 1015, 260, 280, 265, 272, 266, 273, 268, 276, 270, 274, 264, 10142, 7078, 476, 276, 6769, 2745, 2891, 17098, 834, 1341, 834, 14549, 9861, 257, 10142, 7078, 476, 277, 6769, 2745, 2891, 17098, 834, 2608, 476, 276, 267, 1439, 815, 27719, 333, 19530, 539, 19743, 476, 276, 2053, 14744, 5897, 4910, 1545, 6769, 272, 269, 4179, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 7090, 270, 7090, 10734, 553, 545, 318, 6016, 2209, 21867, 1477, 273, 269, 4179, 2517, 4178, 269, 613, 4060, 1721, 613, 4060, 3820, 270, 7090, 268, 6016, 2209, 270, 1477, 274, 269, 4179, 2517, 4178, 269, 16753, 7090, 3820, 19841, 270, 21995, 318, 23330, 2209, 1477, 18851, 0, 258, 1691, 6480, 1192, 32136, 632, 1852, 281, 31807, 3380, 454, 258, 289, 16197, 1999, 785, 657, 630, 338, 629, 655, 657, 24140, 27053, 642, 320, 513, 10221, 597, 572, 264, 967, 9057, 514, 5964, 630, 323, 2570, 324, 632, 3288, 552, 329, 1815, 1075, 542, 1642, 1982, 320, 994, 258, 31624, 576, 585, 1547, 306, 842, 9471, 284, 585, 4756, 538, 3693, 334, 513, 973, 528, 17243, 30458, 1257, 334, 522, 678, 24546, 23241, 1721, 1775, 538, 1496, 272, 267, 273, 267, 274, 14158, 13537, 2891, 295, 7637, 8442, 8528, 1721, 1609, 30685, 525, 538, 22373, 1440, 9874, 591, 320, 14824, 591, 8457, 14824, 9369, 25123, 14824, 514, 22609, 7224, 257, 14158, 13537, 263, 652, 30685, 525, 9239, 258, 1428, 825, 5589, 528, 17243, 12673, 267, 9133, 334, 2039, 267, 711, 30685, 525, 1965, 2133, 525, 598, 1820, 692, 258, 1439, 791, 3234, 597, 635, 334, 796, 17611, 659, 1470, 6446, 1100, 2291, 324, 454, 1721, 1775, 538, 22373, 335, 843, 23768, 14824, 514, 845, 1738, 553, 2580, 476, 274, 14158, 13537, 2891, 3128, 328, 2580, 754, 6889, 834, 2020, 258, 574, 1440, 25504, 3288, 25314, 320, 18085, 21059, 632, 1286, 716, 31013, 6446, 18720, 679, 1714, 3693, 334, 513, 973, 528, 17243, 454, 1721, 1775, 538, 834, 9857, 534, 287, 335, 843, 23768, 514, 845, 1738, 553, 269, 525, 13426, 13537, 2891, 17098, 2580, 1439, 284, 3269, 2020, 692, 16942, 25716, 454, 14741, 10387, 841, 284, 6358, 2891, 4504, 28558, 8913, 25680, 764, 542, 4757, 281, 834, 2020, 1721, 1775, 538, 11465, 10387, 841, 912, 14851, 9217, 2525, 257, 287, 257, 2187, 453, 4757, 18989, 692, 258, 604, 4757, 2525, 12148, 567, 694, 865, 3691, 11230, 29868, 476, 2357, 323, 611, 3266, 476, 679, 825, 952, 4757, 912, 604, 4757, 912, 13537, 2891, 16942, 2953, 334, 5602, 12828, 912, 13537, 2891, 16942, 11234, 334, 834, 2020, 692, 258, 550, 337, 4673, 13121, 1654, 806, 476, 23313, 1958, 340, 550, 571, 818, 549, 9346, 586, 533, 2863, 334, 454, 4186, 11456, 284, 271, 454, 14741, 10387, 841, 284, 6358, 2891, 4504, 28558, 8913, 25680, 764, 542, 4757, 281, 19515, 1721, 1775, 538, 11465, 10387, 841, 912, 14851, 9217, 2525, 257, 287, 257, 610, 1775, 2525, 257, 1701, 2187, 453, 733, 11456, 284, 4186, 11456, 266, 272, 692, 604, 733, 11456, 2525, 273, 912, 13537, 2891, 16942, 2953, 334, 5602, 12828, 912, 13537, 2891, 16942, 11234, 334, 834, 2020, 258, 920, 320, 19448, 30458, 6446, 642, 320, 1642, 476, 271, 620, 24140, 520, 549, 454, 1721, 1775, 538, 2039, 263, 276, 2187, 13537, 9217, 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 ]

[ 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 268, 10619, 815, 910, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 265, 10619, 815, 476, 27944, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10619, 281, 2745, 2891, 7597, 270, 10619, 815, 476, 271, 269, 280, 3953, 28242, 28242, 28242, 28242, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 266, 4037, 815, 476, 13893, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 268, 4037, 815, 910, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 265, 4037, 815, 476, 276, 1704, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4037, 281, 2745, 2891, 7597, 270, 4037, 815, 476, 271, 269, 10844, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 266, 10602, 815, 476, 13970, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 268, 10602, 815, 910, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 265, 10602, 815, 476, 276, 2190, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10602, 281, 2745, 2891, 7597, 270, 10602, 815, 476, 271, 269, 3445, 278, 8660, 275, 278, 3607, 279, 5655, 10755, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 266, 6507, 815, 476, 16409, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 268, 6507, 815, 910, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 265, 6507, 815, 476, 276, 4029, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6507, 281, 2745, 2891, 7597, 270, 6507, 815, 476, 271, 269, 8660, 277, 9818, 8660, 277, 9818, 8660, 277, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 266, 4281, 815, 476, 15704, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 268, 4281, 815, 910, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 265, 4281, 815, 476, 276, 4343, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 4281, 281, 2745, 2891, 7597, 270, 4281, 815, 476, 271, 269, 6434, 275, 277, 1428, 29575, 277, 1428, 29575, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 266, 8064, 815, 476, 16825, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 268, 8064, 815, 910, 1015, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 265, 8064, 815, 476, 276, 3393, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 8064, 281, 2745, 2891, 7597, 270, 8064, 815, 476, 271, 269, 9262, 274, 275, 1704, 278, 2641, 276, 1240, 7176, 278, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 266, 3199, 815, 476, 14983, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 268, 3199, 815, 910, 1556, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 265, 3199, 815, 476, 4649, 273, 271, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 3199, 281, 2745, 2891, 7597, 270, 3199, 815, 476, 271, 269, 279, 7830, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 266, 10037, 815, 476, 5611, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 268, 10037, 815, 910, 1321, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 265, 10037, 815, 476, 4649, 279, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10037, 281, 2745, 2891, 7597, 270, 10037, 815, 476, 271, 269, 5952, 272, 5952, 272, 5952, 272, 5952, 272, 5952, 272, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 266, 11025, 815, 476, 14681, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 268, 11025, 815, 910, 1724, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 265, 11025, 815, 476, 276, 4792, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 11025, 281, 2745, 2891, 7597, 270, 11025, 815, 476, 271, 269, 279, 6078, 5379, 274, 29300, 277, 4097, 16409, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 266, 10695, 815, 476, 13923, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 268, 10695, 815, 910, 1691, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 265, 10695, 815, 476, 6872, 273, 278, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10695, 281, 2745, 2891, 7597, 270, 10695, 815, 476, 271, 269, 279, 4029, 23283, 22145, 14225, 279, 866, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 266, 10019, 815, 476, 14631, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 268, 10019, 815, 910, 1428, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 265, 10019, 815, 476, 6872, 280, 277, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10019, 281, 2745, 2891, 7597, 270, 10019, 815, 476, 271, 269, 279, 2641, 275, 2764, 6872, 272, 275, 2764, 6872, 272, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 266, 5952, 815, 476, 15150, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 268, 5952, 815, 910, 1626, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 265, 5952, 815, 476, 6812, 277, 276, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 5952, 281, 2745, 2891, 7597, 270, 5952, 815, 476, 271, 269, 279, 1556, 278, 5038, 3583, 276, 6434, 273, 31134, 280, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 266, 10436, 815, 476, 14028, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 268, 10436, 815, 910, 1704, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 265, 10436, 815, 476, 6795, 274, 275, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 10436, 281, 2745, 2891, 7597, 270, 10436, 815, 476, 271, 269, 26764, 23283, 6812, 272, 4375, 276, 4097, 279, 279, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 266, 9262, 815, 476, 14444, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 268, 9262, 815, 910, 1240, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 265, 9262, 815, 476, 7785, 274, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 9262, 281, 2745, 2891, 7597, 270, 9262, 815, 476, 271, 269, 8064, 274, 9818, 275, 4366, 22550, 279, 7830, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 266, 6434, 815, 476, 14991, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 268, 6434, 815, 910, 866, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 265, 6434, 815, 476, 2568, 278, 273, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 6434, 281, 2745, 2891, 7597, 270, 6434, 815, 476, 271, 269, 4281, 275, 271, 3445, 3445, 280, 271, 3445, 3445, 280, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 266, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 266, 8660, 815, 476, 15647, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 29038, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 268, 8660, 815, 910, 736, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 265, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 265, 8660, 815, 476, 277, 1691, 272, 14744, 604, 3593, 6358, 272, 2652, 476, 7597, 543, 1129, 2652, 834, 270, 257, 543, 3593, 6358, 273, 2652, 476, 8660, 281, 2745, 2891, 7597, 270, 8660, 815, 476, 271, 269, 278 ]

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

[ 4030, 883, 23257, 1819, 20816, 267, 7175, 9858, 547, 11126, 3889, 585, 5551, 2773, 7355, 269, 1306, 2029, 8441, 267, 811, 10427, 2409, 786, 3136, 6932, 267, 2417, 9750, 938, 7207, 547, 12303, 18634, 1007, 6272, 1354, 22867, 2200, 2509, 2168, 2504, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4537, 12976, 4574, 538, 834, 17220, 4750, 540, 3752, 1749, 543, 23113, 538, 476, 1001, 279, 4840, 26950, 282, 11403, 281, 769, 713, 2376, 267, 513, 21712, 9932, 18474, 729, 4294, 547, 519, 9932, 18474, 676, 13868, 519, 5011, 540, 15279, 30368, 609, 4130, 15279, 30368, 267, 543, 519, 10763, 3435, 547, 519, 1611, 11493, 3196, 543, 29415, 2566, 941, 6508, 1759, 593, 519, 16866, 2706, 24208, 3693, 630, 7704, 25539, 264, 1505, 563, 20082, 281, 28762, 8944, 814, 1044, 5189, 547, 9932, 18474, 3889, 538, 13197, 3706, 1537, 697, 2326, 609, 14222, 7344, 3601, 269, 11048, 267, 519, 21712, 9932, 1260, 2125, 896, 519, 856, 6361, 13807, 2033, 13907, 723, 711, 1044, 1134, 6594, 4603, 958, 543, 2555, 21154, 585, 1648, 10338, 547, 4266, 269, 901, 1353, 6322, 547, 4019, 513, 2027, 7293, 15796, 547, 519, 9932, 18474, 676, 13868, 519, 5011, 540, 15279, 30368, 609, 4130, 15279, 30368, 269, 634, 29610, 3613, 1738, 1449, 540, 519, 21712, 9932, 18474, 19494, 729, 1101, 5342, 4603, 958, 547, 8495, 519, 11493, 19326, 282, 543, 1287, 519, 7222, 13113, 3693, 630, 25539, 264, 9382, 941, 5340, 269, 674, 328, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 9548, 27100, 6396, 257, 607, 851, 540, 834, 28035, 1315, 8950, 29896, 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, 8080, 547, 938, 3408, 540, 11889, 1876, 543, 9431, 2259, 256, 4653, 649, 3513, 4685, 883, 1945, 1572, 519, 15213, 540, 6176, 2920, 630, 23859, 8656, 1070, 799, 2636, 1004, 899, 596, 543, 803, 547, 1569, 1344, 4371, 676, 519, 2229, 269, 901, 2882, 1565, 827, 875, 6472, 616, 1500, 10930, 998, 6042, 1305, 909, 676, 3906, 971, 607, 519, 2817, 23681, 29853, 8881, 10029, 630, 26822, 4811, 288, 1040, 2913, 781, 1294, 1018, 713, 814, 547, 798, 609, 29332, 8656, 2439, 5331, 602, 972, 781, 1044, 513, 2487, 3377, 1650, 827, 1286, 10913, 3361, 676, 25768, 20347, 1949, 269, 1306, 8049, 4961, 945, 1416, 827, 4155, 3106, 267, 649, 1616, 547, 917, 811, 827, 891, 13685, 543, 1022, 31061, 9783, 676, 3549, 269, 1677, 1265, 856, 267, 649, 1223, 946, 519, 15213, 540, 6176, 2920, 547, 7662, 6054, 543, 1239, 689, 519, 19760, 4811, 288, 3823, 741, 7634, 883, 1346, 25768, 20347, 1949, 780, 3383, 267, 1018, 4010, 568, 29332, 8656, 286, 898, 781, 513, 5313, 1876, 5293, 538, 476, 3422, 277, 3850, 2043, 547, 2307, 585, 5638, 689, 1022, 5313, 8116, 267, 899, 519, 19760, 4811, 288, 269, 1879, 2576, 22347, 1080, 513, 29332, 8656, 7662, 267, 789, 1590, 14574, 799, 5638, 789, 1131, 899, 547, 4309, 269, 4495, 519, 7662, 568, 9268, 267, 8041, 786, 5305, 519, 16761, 6054, 8259, 1978, 23614, 687, 4019, 267, 971, 607, 952, 16089, 519, 1344, 1522, 2800, 3084, 3354, 610, 28117, 2123, 7834, 780, 3086, 1577, 781, 1589, 1394, 547, 938, 1719, 538, 6616, 811, 827, 25768, 20347, 1949, 543, 6174, 31061, 269, 1403, 649, 4941, 547, 1451, 827, 1808, 2665, 17411, 676, 519, 19760, 4811, 288, 267, 1934, 781, 1018, 649, 1223, 798, 1210, 29332, 8656, 1384, 272, 269, 10576, 519, 8116, 3743, 281, 4595, 649, 2811, 5461, 538, 18914, 3106, 267, 649, 2907, 917, 621, 781, 519, 19760, 4811, 288, 269, 1809, 950, 15388, 824, 3584, 267, 1101, 4137, 856, 799, 5313, 8116, 13327, 525, 602, 1858, 563, 273, 269, 3503, 513, 2312, 7662, 281, 16259, 513, 4484, 610, 4757, 6998, 585, 1808, 6054, 1644, 547, 707, 1888, 269, 1280, 3236, 267, 649, 949, 7662, 5359, 267, 19359, 267, 543, 1509, 657, 7234, 20347, 1062, 14286, 543, 7766, 31061, 269, 2142, 2386, 547, 13712, 29332, 8656, 543, 2491, 1946, 596, 3494, 519, 5638, 2887, 896, 922, 16278, 563, 274, 269, 27016, 3461, 569, 281, 14409, 942, 9775, 4470, 593, 1142, 8116, 781, 24913, 269, 13575, 267, 1498, 267, 6114, 1058, 2097, 1369, 476, 736, 1870, 2395, 269, 1717, 267, 1950, 13668, 1522, 1491, 3476, 1813, 547, 3656, 8039, 610, 29492, 609, 824, 13646, 563, 275, 269, 5623, 4607, 2326, 281, 2991, 3478, 519, 3210, 267, 1224, 998, 519, 5950, 5638, 5402, 269, 1411, 2760, 917, 1018, 4277, 3877, 596, 1522, 3605, 256, 5457, 267, 930, 1344, 949, 1869, 581, 2699, 716, 539, 610, 609, 18988, 1759, 593, 10858, 23614, 687, 563, 276, 269, 9523, 4681, 19100, 281, 2060, 16012, 4030, 267, 2015, 4687, 873, 31719, 543, 8308, 1247, 18245, 1866, 262, 2924, 547, 7834, 543, 22637, 269, 1635, 3257, 865, 267, 3025, 2640, 689, 2799, 11413, 543, 1620, 540, 1271, 2152, 780, 1103, 3932, 267, 519, 15213, 540, 6176, 2920, 4249, 513, 4105, 1909, 538, 5009, 22371, 543, 12477, 538, 2229, 2238, 1107, 1256, 1346, 5473, 6174, 5663, 543, 3106, 4441, 256, 4197, 29332, 8656, 1797, 16779, 6000, 607, 5483, 4961, 5827, 540, 10283, 8362, 538, 5717, 7282, 1857, 12602, 269, 8414, 3695, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26822, 4811, 288, 1299, 16359, 27990, 8881, 454, 16920, 528, 7958, 538, 938, 19760, 4811, 288, 1299, 16359, 27990, 8881, 6657, 1683, 3102, 2533, 547, 6174, 9755, 543, 14273, 547, 2327, 10220, 609, 772, 2529, 269, 5179, 6174, 3106, 4031, 24451, 676, 19760, 4811, 288, 563, 2171, 1683, 519, 3102, 2533, 596, 991, 547, 16783, 609, 772, 2529, 269, 5179, 6174, 3106, 4031, 269, 1284, 18973, 9755, 540, 18213, 6517, 267, 18114, 267, 21772, 267, 681, 26394, 267, 5179, 31260, 267, 1153, 21772, 267, 18646, 267, 543, 782, 2010, 540, 3312, 543, 1310, 21466, 3937, 630, 324, 3052, 1421, 9817, 267, 8654, 267, 26039, 267, 23376, 3334, 267, 2011, 11435, 267, 543, 6174, 11418, 1040, 1284, 849, 4196, 607, 8480, 547, 1896, 2872, 4123, 12205, 563, 2171, 666, 4217, 596, 593, 519, 2407, 2039, 540, 19760, 4811, 288, 5829, 6927, 267, 1519, 912, 268, 28597, 609, 8549, 16359, 27990, 8881, 11621, 630, 30820, 309, 7704, 338, 994, 268, 4347, 624, 1999, 5209, 267, 8919, 270, 13440, 718, 31015, 267, 543, 8919, 270, 12061, 1260, 20869, 13753, 454, 268, 570, 3918, 4696, 2920, 10220, 543, 8989, 267, 1519, 2038, 9963, 8989, 630, 11246, 305, 264, 543, 4914, 11291, 8989, 454, 268, 4886, 540, 4835, 6144, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 26466, 4520, 540, 6176, 2920, 630, 23859, 8656, 17983, 607, 851, 540, 834, 30311, 1315, 8556, 13577, 4521, 1299, 27943, 6657, 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 ]

[ 279, 454, 5575, 6445, 538, 519, 3193, 269, 1411, 917, 621, 814, 547, 581, 476, 279, 269, 634, 2039, 540, 476, 277, 6645, 596, 519, 1295, 814, 547, 581, 476, 273, 630, 279, 268, 277, 284, 273, 1040, 1411, 666, 1287, 6445, 602, 538, 269, 634, 11667, 814, 547, 581, 476, 276, 865, 476, 273, 476, 276, 781, 538, 519, 1647, 5544, 786, 2327, 602, 621, 781, 476, 276, 269, 634, 7154, 814, 547, 581, 476, 277, 267, 865, 649, 991, 693, 2547, 476, 277, 476, 277, 781, 269, 1411, 666, 1287, 6445, 519, 1964, 540, 519, 2338, 538, 267, 1818, 2386, 789, 2811, 538, 1931, 543, 602, 596, 1810, 1405, 723, 476, 274, 610, 811, 540, 1022, 824, 1297, 630, 20357, 1287, 519, 7154, 1131, 1689, 6393, 23417, 275, 3393, 276, 5780, 277, 4281, 692, 1012, 5381, 5999, 692, 272, 269, 12693, 2979, 692, 24708, 909, 513, 1305, 540, 2338, 2348, 519, 1739, 21056, 7154, 476, 2641, 11667, 476, 2190, 5021, 476, 3374, 2039, 476, 736, 454, 273, 269, 12693, 2979, 692, 13014, 909, 513, 1305, 540, 476, 278, 2338, 2348, 519, 1739, 21056, 281, 7154, 281, 476, 2641, 267, 11667, 281, 476, 2190, 267, 5021, 281, 476, 3374, 267, 2039, 281, 476, 736, 692, 6011, 547, 1118, 909, 513, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5934, 476, 274, 5021, 476, 280, 11667, 476, 278, 7154, 476, 278, 454, 275, 269, 12693, 2979, 692, 13014, 909, 513, 1305, 540, 476, 278, 2338, 2348, 519, 1739, 21056, 281, 7154, 281, 2641, 11667, 281, 2190, 5021, 281, 3374, 2039, 281, 736, 594, 798, 711, 1174, 780, 24708, 4996, 513, 1239, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5021, 476, 1240, 7154, 476, 278, 2039, 476, 1724, 11667, 476, 1321, 692, 13043, 269, 1215, 666, 594, 1118, 909, 513, 1239, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 267, 5021, 476, 1240, 281, 7154, 281, 476, 278, 267, 2039, 281, 476, 1724, 267, 11667, 281, 476, 1321, 888, 278, 269, 12693, 4569, 692, 13014, 909, 513, 1305, 540, 693, 2547, 476, 1321, 2338, 602, 723, 519, 1739, 21056, 5021, 476, 1240, 2039, 476, 1724, 7154, 476, 278, 543, 11667, 476, 1321, 0, 1012, 9046, 692, 288, 6006, 540, 476, 20981, 9748, 540, 3574, 814, 513, 476, 1626, 260, 7509, 1543, 269, 589, 3923, 2663, 267, 607, 513, 1267, 540, 15018, 267, 519, 7509, 1543, 4389, 1109, 1729, 476, 280, 4939, 269, 29894, 29894, 29894, 29894, 7545, 5231, 1548, 568, 519, 1007, 2597, 540, 519, 6006, 2496, 1012, 8382, 4427, 3939, 1772, 3502, 12232, 692, 13528, 568, 4570, 998, 5181, 1109, 1001, 277, 692, 1012, 8827, 692, 32091, 8436, 267, 9684, 596, 585, 707, 4674, 543, 3435, 269, 634, 31329, 547, 6494, 2953, 3070, 729, 4591, 3455, 269, 4270, 2944, 269, 5556, 17894, 2439, 2080, 568, 1250, 3070, 1384, 20981, 343, 271, 268, 10019, 284, 276, 5379, 9748, 269, 901, 568, 519, 7274, 540, 6986, 3574, 538, 519, 6006, 269, 476, 276, 5379, 9748, 568, 476, 11011, 260, 540, 519, 1007, 2597, 780, 1911, 260, 568, 476, 276, 5379, 876, 270, 11011, 284, 7785, 9748, 780, 763, 1007, 2597, 540, 519, 6006, 568, 476, 7785, 9748, 269, 0, 258, 23968, 5622, 5680, 9612, 692, 272, 269, 23037, 676, 692, 272, 269, 12693, 5349, 568, 519, 1858, 19315, 713, 3337, 519, 554, 697, 568, 476, 4649, 4699, 543, 519, 3490, 568, 476, 10482, 4699, 2496, 21920, 1535, 654, 5954, 269, 476, 4649, 1535, 476, 273, 284, 476, 8099, 476, 10482, 1535, 476, 273, 284, 476, 21327, 476, 8099, 1341, 476, 21327, 815, 476, 30444, 9492, 273, 11581, 3951, 281, 901, 568, 6182, 476, 277, 960, 269, 2334, 781, 7168, 8909, 596, 666, 1405, 4137, 621, 856, 780, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 736, 270, 6187, 270, 1001, 272, 692, 273, 269, 12693, 476, 3422, 4699, 676, 476, 9834, 4699, 11631, 286, 875, 1454, 568, 602, 2496, 2791, 1058, 723, 519, 4542, 585, 1858, 269, 9351, 815, 3259, 1535, 8700, 20099, 815, 476, 3422, 654, 5954, 815, 476, 9834, 9351, 815, 476, 3422, 1535, 476, 9834, 1684, 519, 2979, 267, 2638, 609, 513, 9498, 269, 476, 280, 267, 31079, 6382, 780, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 6349, 270, 4962, 270, 1001, 272, 692, 274, 269, 12693, 513, 12718, 814, 18592, 476, 1911, 9492, 543, 4463, 476, 2004, 4699, 2496, 328, 21645, 1589, 579, 991, 519, 4463, 1934, 2807, 538, 711, 3833, 2386, 1498, 269, 855, 18592, 568, 476, 273, 263, 7032, 12684, 337, 269, 865, 2807, 952, 524, 284, 273, 263, 7032, 264, 337, 1287, 678, 284, 322, 270, 273, 263, 7032, 264, 815, 476, 1911, 9492, 270, 630, 273, 265, 274, 269, 1691, 264, 815, 1911, 9492, 270, 277, 269, 2764, 815, 1428, 269, 280, 9492, 630, 7032, 264, 4564, 476, 2420, 270, 278, 610, 476, 274, 269, 1691, 1775, 21645, 723, 546, 3090, 1934, 562, 708, 476, 273, 27823, 476, 273, 979, 1205, 621, 269, 4126, 1775, 5280, 692, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 2420, 270, 1015, 270, 1220, 279, 692, 275, 269, 12693, 634, 3259, 540, 513, 13551, 568, 476, 1626, 4699, 3152, 982, 922, 8700, 269, 634, 1858, 568, 476, 3374, 9492, 11054, 269, 4855, 519, 7516, 540, 13551, 2496, 331, 342, 815, 476, 3374, 630, 342, 1341, 476, 1626, 264, 342, 815, 476, 3374, 530, 317, 273, 1341, 476, 1626, 342, 910, 476, 3374, 815, 476, 271, 2422, 519, 13392, 4542, 547, 4194, 630, 11398, 1934, 5291, 2517, 4178, 3052, 8421, 3122, 2593, 8276, 4215, 270, 275, 270, 1240, 270, 1839, 270, 4037, 270, 9264, 276, 4037, 3451, 3052, 604, 3738, 5269, 2386, 547, 946, 3169, 2418, 269, 898, 786, 1439, 909, 609, 1862, 910, 279, 13008, 476, 274, 18414, 263, 1556, 264, 3767, 596, 666, 946, 2901, 835, 547, 4194, 630, 6343, 594, 1611, 676, 13718, 273, 12226, 5788, 4065, 1299, 13129, 5788, 476, 4905, 270, 6187, 270, 1001, 272, 692, 276, 269, 12693, 14168, 2979, 2055, 855, 3478, 519, 4636, 2626, 286, 7490, 1397, 960, 2496, 331, 815, 476, 1015, 4699, 530, 815, 476, 276, 4699, 554, 815, 1535, 966, 815, 476, 7742, 4699, 317, 274, 952, 966, 815, 561, 2608, 530, 2608, 554, 1287, 554, 815, 966, 1315, 630, 331, 265, 342, 264, 554, 815, 476, 7742, 1315, 630, 1015, 265, 276, 264, 554, 815, 476, 276, 4699, 645, 476, 9339, 594, 6415, 711, 519, 6574, 609, 28809, 267, 855, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1724, 270, 5400, 270, 1001, 272, 692, 277, 269, 12693, 1548, 568, 519, 4320, 540, 513, 12106, 609, 513, 8006, 540, 476, 1691, 4699, 2496, 763, 4542, 585, 519, 4320, 540, 513, 12106, 568, 12631, 337, 23326, 630, 7032, 2053, 519, 8953, 7750, 539, 1040, 634, 8953, 540, 519, 12106, 568, 3368, 519, 8006, 267, 610, 538, 713, 2013, 476, 278, 269, 1924, 519, 4542, 609, 18839, 568, 281, 12631, 278, 23326, 12631, 29340, 476, 13040, 278, 269, 276, 4792, 4391, 476, 13040, 279, 9492, 23326, 6744, 856, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1704, 270, 4905, 270, 1001, 274, 692, 278, 269, 12693, 1496, 13043, 316, 589, 19209, 13472, 568, 476, 7742, 4699, 1279, 543, 568, 476, 1911, 9492, 1657, 519, 2666, 269, 1548, 5086, 1281, 519, 13472, 1118, 609, 519, 2666, 2496, 2252, 596, 3112, 946, 20534, 610, 25482, 1287, 713, 1797, 596, 1590, 946, 17242, 269, 1635, 519, 27099, 14298, 295, 11404, 295, 9215, 288, 267, 713, 1797, 602, 16009, 263, 9064, 6661, 31463, 270, 29951, 269, 1924, 267, 596, 1590, 1265, 519, 7508, 3259, 540, 713, 6906, 547, 4194, 713, 1966, 630, 303, 17233, 17671, 521, 13718, 276, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1556, 270, 6860, 270, 1001, 278, 692, 279, 269, 12693, 589, 11824, 3440, 814, 513, 8953, 540, 476, 736, 4699, 269, 1548, 568, 922, 4320, 2496, 11039, 267, 519, 4542, 585, 513, 12106, 781, 4320, 568, 966, 284, 275, 270, 274, 265, 7032, 265, 337, 317, 274, 8921, 1900, 568, 547, 11690, 538, 519, 2338, 543, 4194, 20800, 269, 966, 284, 275, 270, 274, 265, 274, 269, 1691, 265, 736, 317, 274, 966, 14352, 275, 270, 274, 265, 274, 269, 1691, 12684, 8517, 271, 966, 284, 275, 269, 5908, 26116, 26116, 6858, 263, 516, 701, 908, 1297, 12684, 8517, 271, 966, 284, 31172, 11152, 476, 272, 270, 274, 6600, 3555, 1131, 581, 3169, 264, 610, 596, 13718, 274, 12226, 5788, 4065, 1299, 13129, 5788, 476, 1839, 270, 6349, 270, 1001, 274, 692, 280, 269, 12693, 1548, 568, 519, 3259, 538, 4699, 540, 9474, 2496, 13679, 4699, 6153, 9939, 2439, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 6187, 270, 1015, 270, 1001, 273, 692, 1015, 269, 12693, 5173, 519, 4463, 540, 606, 31164, 6906, 4171, 5011, 616, 21412, 547, 476, 1015, 4699, 2496, 19667, 728, 519, 3490, 538, 1079, 267, 543, 596, 723, 1079, 1318, 12730, 269, 634, 3490, 568, 476, 276, 9492, 267, 519, 30494, 476, 1015, 9492, 269, 2422, 25355, 781, 11532, 547, 4194, 585, 519, 4463, 780, 272, 12226, 5788, 4065, 1299, 13129, 5788, 476, 2764, 270, 1015, 270, 1001, 273, 0, 258, 9046, 14572, 2986, 12430, 17817, 692, 30475, 281, 14195, 9324, 658, 3194, 7433, 763, 3974, 13437, 5004, 13625, 2986, 14146, 1464, 10341, 25324, 24070, 10749, 6103, 476, 276, 291, 1170, 10488, 12559, 847, 16240, 25849, 906, 1280, 476, 279, 628, 27240, 619, 11514, 15479, 633, 4828, 17437, 5295, 17806, 850, 19080, 4518, 9377, 1456, 4828, 5999, 291, 1170, 31277, 2201, 31875, 1677, 13229, 32213, 4065, 692, 10177, 767, 532, 547, 1715, 3840, 267, 799, 568, 476, 8517, 5195, 2476, 267, 693, 476, 4037, 18890, 780, 18814, 547, 519, 2470, 540, 519, 6128, 593, 713, 3135, 621, 568, 1655, 5784, 538, 5251, 7154, 780, 1103, 713, 3992, 267, 649, 3513, 711, 1152, 2259, 6061, 2042, 602, 666, 581, 12261, 883, 5276, 4834, 267, 649, 3513, 849, 1445, 593, 2042, 596, 949, 7237, 538, 707, 1272, 910, 2042, 711, 5473, 14884, 8429, 1142, 824, 269, 1403, 649, 4194, 585, 1535, 676, 18946, 476, 3374, 689, 1312, 5011, 267, 649, 1205, 1535, 815, 476, 4391, 269, 1358, 666, 581, 513, 3787, 811, 1950, 267, 899, 713, 281, 476, 1428, 1447, 982, 2185, 2053, 513, 1297, 568, 476, 6872, 780, 2026, 513, 12576, 267, 513, 568, 1175, 606, 15821, 4082, 602, 4564, 513, 1899, 780, 296, 1611, 267, 1079, 14884, 8429, 1142, 824, 693, 476, 4037, 543, 476, 3199, 5195, 829, 5662, 4465, 1405, 1294, 1142, 824, 1360, 1279, 780, 28775, 2685, 267, 519, 15915, 786, 723, 8737, 741, 5276, 3830, 2262, 2042, 543, 1413, 909, 538, 942, 547, 5951, 780, 1103, 824, 1913, 267, 513, 5276, 3830, 568, 606, 3830, 602, 666, 581, 2854, 538, 519, 1106, 2073, 1141, 616, 21635, 16611, 676, 4632, 543, 568, 513, 3586, 780, 2690, 519, 1880, 2013, 630, 338, 17532, 4756, 3830, 1070, 519, 4611, 3830, 666, 581, 1178, 335, 1117, 607, 513, 1448, 593, 519, 1297, 1899, 267, 543, 585, 519, 2013, 630, 14310, 532, 538, 513, 5276, 1599, 1070, 621, 666, 581, 1178, 335, 1117, 607, 513, 1899, 593, 519, 31951, 7077, 267, 8754, 519, 2165, 834, 15035, 257, 3830, 780, 1607, 666, 6905, 547, 513, 2489, 31951, 562, 1606, 10628, 267, 538, 799, 519, 5276, 3830, 609, 519, 7222, 1297, 540, 4632, 666, 581, 1178, 335, 1117, 607, 606, 562, 268, 272, 1606, 10628, 910, 713, 1523, 568, 519, 2856, 3297, 25107, 9511, 607, 19424, 539, 676, 674, 12938, 543, 29439, 26075, 780, 24169, 891, 5276, 4834, 676, 14467, 543, 1951, 21794, 513, 1297, 547, 519, 834, 1278, 257, 2427, 540, 519, 3160, 1129, 269, 0, 9223, 7433, 281, 7177, 29093, 7726, 7433, 910, 5412, 476, 1001, 276, 910, 3689, 5729, 7177, 630, 13729, 589, 264, 630, 306, 655, 6856, 476, 272, 264, 910, 14076, 643, 19413, 623, 9613, 344, 690, 5942, 31155, 342, 14865, 9234, 11535, 630, 305, 294, 11901, 994, 271, 692, 25811, 1359, 29093, 910, 5412, 476, 1001, 276, 692, 305, 294, 11901, 3689, 5729, 7177, 630, 13729, 589, 264, 630, 306, 655, 6856, 476, 272, 2020, 13707, 7436, 281, 4534, 454, 13707, 942, 281, 4534, 454, 2562, 22552, 10813, 16739, 454, 263, 272, 264, 27539, 3617, 1239, 543, 1533, 707, 4128, 454, 263, 273, 264, 29485, 616, 2016, 547, 519, 1318, 540, 1169, 2243 ]

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

[ 18091, 1029, 3890, 2567, 8873, 8771, 454, 1038, 2132, 6936, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 952, 1826, 4311, 18502, 272, 264, 2652, 1193, 912, 2018, 2132, 1582, 18502, 272, 454, 1038, 3116, 912, 2018, 929, 11781, 6889, 2891, 266, 1598, 4311, 18502, 272, 11924, 12887, 266, 1598, 4311, 18502, 273, 11924, 10807, 7055, 2018, 2132, 929, 11781, 454, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 2132, 476, 1582, 18502, 272, 454, 825, 1219, 1205, 13448, 4311, 2187, 1038, 952, 4311, 16691, 867, 318, 17882, 2525, 257, 290, 691, 14198, 257, 2187, 2018, 952, 630, 6943, 4311, 18502, 272, 264, 2525, 1598, 2187, 3546, 5931, 284, 1345, 18502, 272, 454, 3546, 2451, 284, 1598, 26098, 29495, 338, 10086, 3488, 994, 3546, 1318, 284, 1598, 26098, 29495, 338, 267, 3299, 5073, 3546, 1582, 18502, 272, 284, 15615, 29495, 338, 314, 3847, 266, 272, 281, 2431, 7481, 3546, 2451, 284, 1598, 26098, 29495, 338, 267, 3299, 5073, 3546, 1318, 284, 1598, 26098, 29495, 338, 10086, 264, 5073, 3546, 1582, 18502, 273, 284, 15615, 29495, 338, 314, 3847, 266, 272, 281, 2431, 7481, 3546, 2132, 1582, 18502, 272, 454, 1038, 2132, 630, 1345, 10947, 24417, 3890, 265, 4118, 269, 6523, 4311, 10947, 318, 12978, 3890, 4917, 825, 1219, 1205, 14729, 4311, 2187, 1038, 952, 4311, 16691, 867, 318, 17882, 2525, 257, 290, 691, 14198, 257, 2567, 8873, 1582, 18502, 273, 454, 1038, 2132, 630, 1345, 10947, 24417, 3890, 265, 4118, 4732, 514, 4311, 10947, 318, 12978, 3890, 4917, 825, 1219, 1205, 24417, 4311, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 303, 6897, 257, 2567, 8873, 1582, 18502, 272, 454, 1038, 2132, 2979, 269, 1506, 13607, 4311, 18502, 272, 267, 1582, 18502, 273, 994, 825, 1219, 1205, 318, 12978, 4311, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 303, 6897, 257, 2567, 8873, 1582, 18502, 273, 454, 1038, 2132, 2979, 269, 27979, 273, 4311, 18502, 273, 267, 1582, 18502, 272, 994, 825, 1219, 1305, 13448, 4311, 21726, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 257, 290, 691, 14198, 257, 2187, 2018, 2132, 454, 1038, 586, 815, 1582, 10947, 14729, 4590, 1038, 1582, 18502, 272, 815, 1535, 454, 1038, 1582, 18502, 273, 815, 586, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 290, 691, 14198, 4840, 825, 1219, 1305, 14729, 4311, 11971, 2187, 1038, 952, 630, 1345, 16691, 867, 318, 17882, 2652, 1412, 290, 691, 14198, 262, 2187, 2018, 1582, 18502, 273, 815, 586, 454, 2018, 2132, 454, 1038, 1535, 815, 1582, 10947, 13448, 4590, 1038, 1582, 18502, 272, 815, 1535, 454, 1038, 1582, 18502, 273, 815, 586, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 290, 691, 14198, 4840, 825, 1219, 1305, 24417, 4311, 267, 337, 2187, 2018, 952, 4717, 318, 17882, 2652, 21069, 912, 3546, 1582, 18502, 272, 815, 678, 454, 825, 1219, 1305, 318, 12978, 4311, 267, 12978, 2187, 1038, 678, 815, 1582, 10947, 24417, 4590, 1038, 1582, 18502, 272, 815, 678, 454, 1038, 1582, 18502, 273, 815, 943, 328, 454, 1038, 1582, 16691, 867, 318, 17882, 815, 257, 303, 6897, 4840, 22322, 5035, 21070, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 8218, 284, 271, 267, 754, 284, 271, 2187, 13872, 1038, 1582, 269, 8218, 284, 8218, 454, 1038, 1582, 269, 754, 284, 754, 692, 1038, 1582, 17679, 17342, 272, 267, 271, 2639, 1038, 952, 630, 6943, 263, 754, 264, 2525, 842, 543, 1826, 6357, 5476, 25631, 284, 842, 2187, 2018, 1582, 17679, 314, 271, 24557, 8218, 10947, 13448, 4590, 2018, 1582, 17679, 314, 272, 24557, 8218, 10947, 14729, 4590, 1038, 8640, 630, 6943, 6357, 5476, 25631, 284, 842, 2187, 2018, 1582, 17679, 314, 271, 24557, 754, 10947, 13448, 3890, 268, 8218, 10947, 13448, 4590, 2018, 1582, 17679, 314, 272, 24557, 754, 10947, 14729, 3890, 268, 8218, 10947, 14729, 30800, 825, 1219, 6449, 18091, 9191, 1345, 267, 1278, 2187, 1038, 2132, 4311, 17679, 314, 271, 316, 268, 1278, 17679, 314, 271, 316, 283, 1015, 1262, 268, 1015, 543, 1582, 17679, 314, 272, 316, 268, 1278, 17679, 314, 272, 316, 283, 1015, 1262, 268, 1015, 994, 825, 1219, 6449, 10864, 9191, 1345, 2187, 1038, 513, 284, 309, 10725, 4590, 1038, 513, 17679, 314, 271, 316, 15871, 1345, 17679, 314, 271, 2639, 1038, 513, 17679, 314, 272, 316, 15871, 1345, 17679, 314, 272, 2639, 1038, 2132, 513, 454, 825, 1219, 6449, 5417, 9191, 1345, 267, 1278, 2187, 1038, 536, 284, 309, 10725, 4590, 1038, 536, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 27994, 1278, 17679, 314, 271, 2639, 1038, 536, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 27994, 1278, 17679, 314, 272, 2639, 1038, 2132, 536, 454, 825, 1219, 6449, 11357, 9191, 1345, 267, 1278, 2187, 1038, 524, 284, 309, 10725, 4590, 1038, 524, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 316, 268, 1278, 17679, 314, 271, 2639, 1038, 524, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 316, 268, 1278, 17679, 314, 272, 2639, 1038, 2132, 524, 454, 825, 1219, 6449, 332, 592, 9191, 1345, 267, 1278, 2187, 1038, 952, 1826, 263, 1278, 25631, 284, 703, 912, 2018, 670, 284, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 8079, 265, 4118, 269, 1506, 13607, 263, 1278, 17679, 314, 271, 3910, 1278, 17679, 314, 272, 8079, 265, 9230, 1345, 17679, 314, 271, 30297, 1278, 17679, 314, 271, 27994, 1345, 17679, 314, 272, 30297, 1278, 17679, 314, 272, 8079, 14370, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 8079, 265, 4118, 269, 1506, 13607, 263, 1278, 17679, 314, 271, 3910, 1278, 17679, 314, 272, 316, 4297, 11850, 2018, 2132, 670, 454, 1038, 3116, 912, 2018, 546, 284, 309, 10725, 4590, 2018, 546, 17679, 314, 271, 24557, 1345, 17679, 314, 271, 30297, 1278, 454, 2018, 546, 17679, 314, 272, 24557, 1345, 17679, 314, 272, 30297, 1278, 454, 2018, 2132, 546, 454, 825, 1219, 3259, 4311, 2187, 1038, 670, 284, 4118, 269, 1506, 13607, 4311, 17679, 314, 271, 3910, 1345, 17679, 314, 272, 7481, 13872, 1038, 2132, 670, 454, 22322, 320, 815, 21070, 263, 11592, 263, 272, 267, 476, 273, 4917, 321, 815, 21070, 263, 11592, 8987, 273, 267, 476, 271, 1070, 8672, 8987, 272, 267, 476, 273, 11723, 604, 513, 2652, 536, 543, 536, 2652, 513, 281, 1820, 3488, 13420, 1275, 1449, 5293, 5073, 12828, 281, 1820, 3488, 13420, 1275, 1449, 8959, 17210, 3534, 476, 815, 21070, 263, 11592, 8987, 272, 267, 910, 273, 4917, 2135, 476, 815, 21070, 263, 11592, 263, 476, 272, 267, 476, 476, 271, 4917, 333, 2135, 815, 21070, 263, 11592, 8987, 272, 267, 476, 476, 271, 4917, 1195, 476, 815, 21070, 263, 11592, 263, 476, 271, 267, 476, 476, 272, 4917, 333, 1195, 815, 21070, 263, 11592, 263, 476, 271, 267, 910, 272, 4917, 604, 513, 2652, 910, 3534, 543, 14255, 2652, 910, 320, 543, 910, 2135, 2652, 1100, 343, 543, 910, 1195, 2652, 1100, 344, 281, 1820, 3488, 1103, 3200, 1449, 5293, 5073, 12828, 281, 1820, 3488, 1103, 3200, 1449, 8959, 17210, 604, 3404, 1341, 23690, 1341, 23690, 2652, 513, 543, 910, 2135, 2652, 910, 320, 1341, 23690, 1341, 23690, 281, 1820, 3488, 11764, 332, 566, 1449, 5293, 5073, 12828, 281, 1820, 3488, 11764, 332, 566, 1449, 8959, 5073, 604, 910, 2135, 1341, 23690, 2652, 23690, 910, 3404, 543, 910, 1195, 1341, 3404, 2652, 3404, 910, 23690, 281, 1820, 3488, 8138, 339, 3555, 1449, 5293, 5073, 12828, 281, 1820, 3488, 8138, 339, 3555, 1449, 8959, 5073, 22322, 604, 630, 2135, 2608, 476, 274, 2652, 3404, 1341, 3404, 1341, 3404, 543, 454, 825, 23690, 2608, 476, 274, 2652, 23690, 1341, 23690, 1341, 23690, 543, 454, 825, 3404, 2608, 11196, 274, 264, 2652, 910, 2135, 910, 3404, 910, 3404, 543, 454, 825, 23690, 2608, 11196, 274, 264, 2652, 910, 1195, 910, 23690, 910, 23690, 2567, 1820, 3488, 25648, 6473, 676, 1297, 1449, 5293, 5073, 12828, 281, 1820, 3488, 25648, 6473, 676, 1297, 1449, 8959, 5073, 22322, 604, 630, 16029, 263, 2135, 32324, 19572, 476, 272, 264, 543, 454, 825, 3160, 263, 1195, 32324, 19572, 476, 272, 264, 543, 454, 825, 3160, 9230, 2135, 2608, 476, 274, 1341, 23690, 2608, 476, 275, 1040, 26319, 19572, 476, 276, 264, 2567, 1820, 3488, 21920, 1449, 5293, 5073, 12828, 281, 1820, 3488, 21920, 1449, 8959, 5073, 22322, 604, 630, 16029, 263, 2135, 265, 2135, 267, 3404, 32324, 3890, 1262, 273, 264, 543, 454, 825, 3160, 263, 1195, 265, 1195, 267, 23690, 32324, 3890, 1262, 273, 264, 543, 454, 825, 3160, 9230, 2135, 265, 274, 1341, 23690, 265, 275, 31618, 2135, 265, 274, 1341, 23690, 265, 275, 1070, 630, 2135, 265, 274, 1341, 23690, 265, 275, 1040, 26319, 3890, 1262, 273, 264, 2567, 1820, 3488, 25648, 6473, 676, 21070, 1449, 5293, 5073, 12828, 281, 1820, 3488, 25648, 6473, 676, 21070, 1449, 8959, 17210, 0, 320, 284, 280, 269, 279, 454, 343, 271, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 1535, 271, 6889, 4917, 341, 271, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 642, 271, 6889, 4917, 339, 25507, 9272, 2891, 8563, 8563, 29391, 4138, 16021, 512, 6889, 4917, 343, 24210, 271, 266, 341, 271, 265, 339, 8584, 265, 339, 265, 339, 270, 273, 454, 334, 284, 11274, 3287, 14870, 271, 994, 2745, 2891, 13077, 4736, 13150, 3378, 9326, 17221, 3264, 284, 2580, 334, 994, 0, 320, 284, 703, 630, 6358, 15405, 321, 25507, 630, 6358, 15405, 320, 30381, 1532, 454, 321, 30381, 17070, 454, 320, 284, 321, 8584, 8931, 2745, 630, 320, 14720, 994, 0, 339, 1112, 716, 4141, 815, 22373, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 14824, 341, 728, 31116, 329, 537, 16725, 815, 476, 271, 454, 341, 1112, 334, 790, 815, 8771, 454, 339, 712, 815, 476, 271, 692, 3698, 513, 329, 719, 525, 2096, 321, 1961, 630, 339, 1112, 716, 4141, 267, 1775, 264, 10778, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 23145, 1460, 257, 610, 512, 1112, 716, 4141, 5157, 316, 2525, 257, 337, 1180, 257, 2187, 453, 13537, 2891, 290, 8291, 2013, 1609, 26955, 329, 14504, 5003, 19902, 267, 1654, 340, 4068, 345, 1094, 529, 597, 11552, 2013, 2756, 23528, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 341, 728, 257, 543, 795, 537, 16725, 260, 273, 2525, 271, 2187, 453, 453, 339, 1112, 716, 4141, 5157, 316, 815, 834, 23145, 1460, 4840, 14851, 630, 339, 1112, 716, 4141, 5157, 316, 2525, 257, 341, 728, 257, 543, 795, 537, 16725, 260, 273, 256, 284, 271, 264, 10778, 453, 453, 339, 1112, 716, 4141, 5157, 316, 815, 834, 337, 1180, 4840, 16596, 454, 4848, 454, 3698, 1449, 324, 309, 1112, 334, 790, 309, 1068, 673, 324, 630, 339, 1112, 716, 4141, 2187, 22610, 795, 538, 2039, 630, 271, 267, 274, 2187, 453, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 274, 316, 543, 512, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 277, 316, 543, 512, 1112, 716, 4141, 14728, 316, 256, 6889, 341, 728, 257, 2187, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 23145, 1460, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 5186, 1460, 8206, 5602, 15235, 16596, 6936, 454, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 337, 1180, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 678, 4637, 8206, 5602, 15235, 16596, 6936, 454, 16596, 8771, 692, 3698, 1449, 324, 309, 1112, 334, 790, 295, 528, 714, 2632, 1446, 630, 339, 1112, 716, 4141, 2187, 22610, 795, 538, 2039, 630, 271, 267, 277, 2187, 453, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 272, 316, 543, 512, 1112, 716, 4141, 14728, 316, 2525, 339, 1112, 716, 4141, 14728, 266, 273, 316, 543, 795, 260, 274, 2525, 271, 543, 512, 1112, 716, 4141, 14728, 316, 256, 6889, 341, 728, 257, 2187, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 23145, 1460, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 5186, 1460, 8206, 5602, 15235, 16596, 6936, 454, 4848, 14851, 630, 339, 1112, 716, 4141, 14728, 316, 2525, 257, 337, 1180, 257, 2187, 15235, 13537, 2891, 309, 1112, 334, 790, 13248, 8350, 678, 4637, 8206, 5602, 15235 ]

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

[ 8373, 6340, 267, 543, 10193, 5075, 2042, 563, 2750, 18075, 1215, 1772, 20539, 15282, 23618, 539, 888, 763, 3782, 3028, 8502, 786, 322, 1643, 569, 1118, 513, 5868, 689, 519, 2013, 1686, 607, 1134, 553, 2168, 6514, 269, 634, 3782, 3028, 8502, 949, 798, 824, 18362, 267, 971, 607, 6419, 19089, 9196, 630, 28122, 1070, 13461, 593, 519, 2009, 2014, 563, 9617, 1215, 1772, 20539, 15282, 7066, 730, 888, 763, 2805, 12346, 593, 519, 2014, 269, 5709, 1149, 602, 1522, 581, 4929, 9825, 15282, 786, 6157, 581, 11074, 269, 15316, 824, 5061, 971, 607, 803, 743, 714, 710, 1522, 581, 6035, 547, 948, 9825, 15282, 642, 4314, 269, 1280, 22680, 11901, 267, 519, 3782, 8502, 1522, 1847, 519, 2212, 514, 1880, 8846, 547, 5818, 519, 9825, 15282, 20136, 3797, 568, 1572, 12324, 603, 1065, 3789, 532, 630, 528, 519, 661, 921, 344, 23603, 1040, 1280, 1256, 3467, 3978, 3123, 630, 7945, 607, 606, 17974, 29648, 320, 1070, 10551, 5650, 610, 5982, 3797, 949, 581, 2838, 269, 634, 1034, 2500, 3797, 5673, 593, 519, 1808, 3597, 2014, 540, 1492, 9825, 15282, 563, 291, 11675, 607, 1134, 607, 11298, 715, 685, 25629, 538, 30047, 20539, 15282, 912, 23077, 1491, 6527, 607, 5227, 563, 23077, 1289, 707, 3782, 3028, 8502, 952, 596, 17647, 6217, 2530, 610, 25641, 11132, 4743, 15381, 543, 849, 32688, 267, 3226, 952, 527, 30778, 609, 513, 26043, 563, 291, 2177, 685, 307, 11716, 9825, 15282, 267, 3226, 950, 596, 17647, 1585, 824, 4191, 543, 2589, 563, 291, 2177, 685, 307, 946, 1360, 1164, 13066, 540, 29469, 269, 1306, 2869, 514, 1522, 2014, 9825, 15282, 950, 8246, 538, 1164, 13121, 1137, 563, 291, 2177, 685, 307, 3111, 547, 3314, 547, 1217, 707, 3782, 18261, 827, 1022, 323, 2607, 338, 596, 1491, 267, 9967, 540, 1875, 25535, 5524, 543, 849, 5214, 3688, 269, 3509, 666, 9594, 9825, 15282, 454, 1432, 2405, 1709, 1684, 1358, 2422, 1280, 20539, 15282, 454, 2691, 938, 2212, 844, 1080, 3001, 519, 1439, 565, 8233, 610, 5277, 538, 938, 12931, 1844, 983, 4754, 1023, 1579, 1513, 909, 607, 1134, 607, 10123, 13515, 3001, 267, 899, 513, 9350, 3165, 11432, 269, 634, 15392, 1418, 267, 519, 7484, 3121, 267, 844, 1080, 922, 1219, 3005, 26655, 519, 2247, 602, 972, 568, 1100, 811, 1022, 1826, 540, 10231, 610, 5163, 11941, 547, 519, 2212, 563, 1432, 4386, 1985, 568, 519, 2601, 585, 9825, 15282, 563, 288, 12627, 6238, 547, 16173, 630, 9767, 12628, 513, 4224, 538, 519, 22471, 559, 3165, 11432, 543, 849, 678, 31454, 1106, 264, 2048, 560, 574, 6819, 8072, 519, 7484, 3121, 610, 711, 6005, 1418, 540, 621, 30778, 12324, 547, 13933, 1247, 519, 1585, 824, 476, 276, 23668, 616, 26655, 519, 2247, 602, 972, 3884, 334, 2534, 540, 519, 2212, 269, 898, 568, 713, 8966, 3877, 602, 3123, 9825, 15282, 269, 769, 936, 15823, 2600, 540, 3200, 15282, 3871, 519, 12324, 602, 568, 519, 3390, 568, 519, 17911, 4754, 531, 607, 1134, 607, 519, 1655, 2126, 568, 1492, 661, 921, 344, 23603, 269, 1284, 18973, 2048, 2452, 532, 519, 17831, 8072, 543, 530, 698, 1359, 602, 707, 9825, 15282, 568, 4947, 689, 513, 17911, 4754, 531, 607, 1134, 607, 1739, 713, 1184, 563, 288, 2388, 547, 8156, 707, 1360, 1378, 9825, 15282, 563, 24375, 940, 9363, 909, 267, 2490, 707, 2212, 476, 3393, 2157, 25722, 2830, 707, 2212, 23651, 267, 1287, 9114, 1394, 16425, 563, 1607, 568, 519, 23698, 5057, 267, 8488, 269, 1403, 596, 723, 2990, 531, 9825, 15282, 707, 2589, 786, 6157, 581, 27185, 19861, 267, 711, 5401, 269, 634, 1858, 18343, 568, 1018, 596, 616, 32261, 15030, 7159, 585, 621, 547, 1780, 1247, 8066, 707, 2212, 1869, 563, 19522, 585, 14271, 11618, 2986, 20539, 15282, 454, 288, 2603, 540, 2990, 531, 9825, 15282, 13542, 616, 513, 17911, 4754, 531, 543, 849, 519, 661, 921, 344, 23603, 568, 519, 1655, 339, 13015, 585, 713, 563, 763, 2427, 602, 519, 667, 1460, 8065, 335, 833, 6514, 5433, 1256, 8338, 568, 519, 2427, 9767, 1521, 563, 2791, 666, 2119, 519, 6587, 855, 952, 707, 9825, 15282, 2731, 7959, 7920, 979, 6619, 543, 2490, 707, 2212, 3533, 547, 519, 824, 2427, 267, 3445, 2157, 267, 610, 476, 3393, 5232, 29352, 519, 824, 323, 3925, 269, 1411, 616, 4867, 3257, 519, 661, 921, 344, 23603, 563, 296, 899, 547, 946, 519, 21658, 540, 513, 3636, 1216, 8708, 538, 938, 15335, 607, 1134, 607, 519, 3636, 1216, 27983, 269, 4107, 540, 721, 723, 7725, 538, 938, 2212, 269, 1452, 12627, 560, 749, 938, 2634, 1141, 8904, 2164, 689, 741, 2597, 269, 594, 1111, 30750, 3489, 5762, 3293, 610, 7745, 2110, 789, 2842, 909, 693, 519, 5377, 540, 519, 2048, 14653, 1216, 7382, 8072, 610, 22514, 756, 2544, 269, 8616, 952, 789, 2842, 909, 538, 519, 12992, 267, 519, 10859, 2275, 1844, 983, 23668, 267, 519, 660, 30750, 1711, 782, 1826, 540, 13542, 13461, 593, 1141, 789, 979, 563, 1103, 938, 1505, 649, 1294, 2990, 531, 9825, 15282, 7218, 689, 782, 6502, 267, 689, 1762, 4079, 547, 20650, 269, 1452, 335, 1112, 999, 1397, 17333, 665, 8205, 610, 17333, 14663, 14848, 16856, 607, 1134, 607, 606, 3606, 6251, 2070, 13031, 11523, 3515, 269, 28864, 543, 849, 2085, 666, 2014, 713, 563, 23175, 5945, 610, 627, 328, 680, 1662, 666, 1711, 18015, 538, 519, 17305, 14663, 14848, 269, 769, 942, 3688, 540, 519, 17333, 14663, 666, 2736, 2110, 269, 594, 1111, 30750, 2611, 538, 519, 22514, 756, 2544, 1310, 602, 972, 616, 1100, 4191, 269, 1403, 789, 1439, 909, 538, 519, 12931, 1844, 983, 23668, 1287, 9825, 15282, 666, 1491, 1747, 563, 1432, 2405, 1709, 1684, 1358, 2422, 1280, 20539, 15282, 1107, 1548, 568, 513, 20539, 15282, 31105, 286, 1923, 1432, 3657, 12580, 540, 20539, 15282, 286, 1923, 1692, 1677, 5700, 1403, 1411, 5620, 20539, 15282, 1923, 2710, 1411, 22206, 518, 3245, 20539, 15282, 286, 1923, 1432, 1677, 1684, 1879, 1411, 5620, 20539, 15282, 1923, 29819, 543, 12580, 540, 20539, 15282, 1923, 6701, 1411, 3807, 667, 714, 5414, 2107, 1684, 1411, 5620, 20539, 15282, 286, 1923, 306, 4428, 1359, 3245, 20539, 15282, 286, 3371, 3657, 2368, 32192, 1923, 5970, 20539, 15282, 286, 1411, 3657, 3502, 1325, 821, 269, 348, 0, 4696, 8461, 568, 513, 5778, 16467, 11365, 4524, 602, 5222, 1472, 476, 276, 260, 540, 1453, 538, 10430, 269, 11838, 2126, 666, 581, 4101, 899, 782, 4713, 269, 11838, 666, 1267, 538, 2790, 543, 7803, 2152, 269, 634, 3668, 540, 2937, 11838, 2533, 538, 10430, 666, 1118, 2126, 513, 4161, 269, 11838, 666, 581, 7307, 609, 519, 1318, 948, 269, 3371, 616, 930, 4808, 547, 1205, 596, 3323, 593, 707, 2619, 547, 6051, 563, 3849, 738, 11838, 568, 513, 5778, 16467, 11365, 4524, 454, 3849, 738, 11838, 568, 513, 2783, 602, 4386, 950, 707, 1126, 610, 596, 8858, 2947, 610, 811, 540, 891, 2589, 269, 1452, 2589, 616, 711, 5078, 585, 1646, 538, 4079, 543, 1058, 581, 11117, 676, 513, 2564, 3318, 269, 589, 5868, 540, 11838, 2356, 3340, 519, 946, 540, 21911, 610, 6646, 269, 10657, 568, 2966, 547, 2087, 519, 2702, 540, 2043, 547, 13404, 543, 1589, 5693, 269, 11150, 585, 5883, 2623, 666, 581, 1031, 547, 1852, 2589, 563, 2414, 2697, 8308, 11838, 2290, 1590, 10929, 3573, 5626, 543, 2168, 18362, 269, 11671, 17595, 1670, 4255, 616, 849, 3810, 6225, 269, 634, 5354, 540, 1004, 609, 11838, 723, 513, 1071, 2173, 27225, 2790, 1072, 4524, 269, 1452, 1331, 4160, 267, 6219, 21568, 610, 7099, 4713, 267, 543, 4568, 6057, 269, 4014, 7099, 4713, 616, 606, 5817, 2783, 538, 1978, 3871, 267, 621, 568, 12863, 547, 2697, 11838, 689, 824, 2790, 10108, 602, 1860, 4079, 269, 3958, 267, 17133, 2115, 547, 581, 11117, 547, 3313, 519, 1764, 540, 2126, 269, 1703, 616, 513, 3099, 540, 6527, 2139, 547, 1521, 519, 2589, 540, 2937, 11838, 799, 1331, 513, 4999, 540, 8102, 1218, 543, 1875, 560, 574, 592, 1218, 563, 7212, 972, 3884, 1406, 513, 598, 5477, 1353, 547, 3313, 519, 2014, 540, 11838, 538, 4079, 267, 621, 568, 2009, 602, 1978, 15970, 2853, 543, 519, 946, 540, 8613, 666, 3565, 547, 519, 2589, 269, 634, 2589, 5749, 1406, 8209, 22566, 540, 513, 3668, 540, 1620, 610, 771, 323, 664, 267, 2705, 269, 21834, 616, 513, 2101, 3815, 538, 2937, 11838, 269, 4014, 972, 568, 1100, 2601, 585, 621, 855, 621, 568, 2009, 547, 581, 4299, 269, 16989, 11838, 2589, 1223, 581, 513, 1129, 540, 17299, 4524, 269, 898, 568, 606, 4576, 602, 3123, 24412, 1995, 812, 545, 610, 19591, 30181, 563, 2005, 5540, 5111, 476, 276, 260, 540, 1153, 9907, 1453, 538, 10430, 454, 4696, 8461, 568, 513, 1134, 8153, 11095, 4524, 602, 5540, 5631, 1053, 538, 519, 1153, 2085, 269, 6820, 13618, 9193, 602, 827, 476, 276, 260, 540, 13677, 1153, 18244, 7985, 689, 519, 4524, 269, 769, 10430, 972, 616, 476, 4391, 267, 1822, 1453, 945, 7985, 689, 11838, 269, 15214, 7219, 2045, 4524, 267, 519, 1034, 4049, 1826, 540, 11838, 621, 5540, 835, 538, 4557, 1453, 269, 1452, 1453, 3335, 2154, 2564, 3007, 267, 543, 1082, 3237, 723, 4145, 3823, 519, 946, 540, 1932, 1454, 6646, 563, 4696, 8461, 568, 513, 1966, 602, 5540, 827, 476, 276, 260, 540, 1453, 538, 10430, 269, 1403, 1453, 616, 10010, 693, 1153, 621, 568, 6700, 547, 1205, 513, 5868, 269, 5753, 945, 7985, 689, 11838, 6560, 547, 13404, 267, 9013, 741, 7180, 543, 616, 1419, 5409, 5562, 269, 5753, 609, 11838, 1522, 723, 2152, 538, 1153, 267, 19174, 267, 543, 9013, 741, 7180, 269, 7216, 7020, 568, 1898, 585, 4543, 873, 8011, 538, 1153, 269, 901, 2376, 786, 4983, 519, 2188, 602, 666, 948, 11838, 1453, 811, 2693, 547, 581, 3811, 693, 1153, 563, 4696, 8461, 666, 581, 513, 1279, 18835, 4524, 602, 666, 2063, 585, 1296, 269, 634, 2589, 540, 11838, 3335, 2253, 538, 6689, 2073, 855, 621, 666, 6414, 883, 15296, 269, 11838, 949, 849, 581, 2404, 609, 2618, 2670, 543, 6219, 6057, 269, 14268, 1058, 3343, 856, 3318, 2564, 2126, 585, 741, 1126, 952, 789, 8858, 11838, 2589, 269, 1358, 1058, 849, 1491, 883, 7156, 519, 7569, 602, 616, 5116, 593, 741, 1126, 269, 11838, 2589, 666, 581, 5532, 547, 30088, 1369, 707, 2634, 563, 2005, 568, 2404, 609, 1279, 3856, 2790, 1072, 2152, 454, 7212, 1279, 3856, 2790, 1072, 2042, 616, 2352, 547, 1521, 267, 789, 666, 581, 14284, 676, 5275, 2126, 2038, 269, 27999, 2242, 971, 607, 2635, 4189, 6208, 543, 2834, 2168, 3635, 616, 4105, 547, 2790, 1072, 269, 4317, 1489, 543, 2069, 616, 849, 1898, 269, 1411, 666, 3251, 593, 3950, 676, 2870, 606, 3964, 6296, 543, 6158, 609, 707, 3119, 1416, 10629, 827, 707, 2589, 269, 901, 1344, 666, 4217, 596, 538, 8939, 519, 1655, 2126, 4781, 269, 4855, 856, 811, 827, 519, 1655, 1259, 547, 6023, 1279, 3856, 2790, 1072, 2042, 563, 10144, 609, 5312, 1072, 2152, 616, 811, 12155, 547, 1020, 4965, 543, 4160, 269, 1452, 2175, 616, 1419, 5532, 609, 2362, 2564, 9276, 543, 29083, 519, 4791, 4093, 269, 3213, 2173, 27225, 2790, 2175, 666, 849, 1860, 1582, 31193, 585, 1279, 3856, 2175, 269, 4658, 945, 7985, 689, 5312, 2790, 4576, 616, 811, 2693, 547, 581, 2938, 676, 513, 10629, 811, 4749, 799, 666, 1291, 547, 25013, 4791, 4093, 543, 2539, 2298, 540, 1272, 563, 12831, 1833, 666, 581, 3361, 676, 2168, 2589, 269, 4658, 609, 5312, 2790, 4576, 7985, 689, 513, 3099, 2168, 2589, 269, 3509, 1004, 7092, 689, 2790, 4576, 1810, 1406, 3343, 856, 3782, 2394, 741, 2783, 3587, 4049, 269, 1358, 949, 849, 711, 723, 1514, 1489, 267, 543, 949, 711, 723, 2576, 547, 7618, 873, 547, 1491, 741, 6646, 267, 610, 547, 6895, 741, 1973, 4006, 2157, 269, 19768, 540, 1489, 666, 849, 1118, 1004, 811, 7925, 547, 2168, 10108, 269, 898, 568, 2629, 547, 2566, 519, 2956, 540, 2069, 543, 1489, 538, 2790, 1072, 1416, 563, 2005, 666, 1291, 547, 7803, 2932, 454, 5278, 1004, 2119, 547, 3035, 2883, 1967, 676, 1210, 10363, 2409, 269, 11524, 616, 6766, 267, 610, 9141, 547, 519, 6316, 676, 1514, 4229, 269, 21894, 519, 3597, 2014, 540, 7803, 2623, 568, 267, 621, 568, 1271, 602, 596, 1174, 875, 547, 2061, 621, 269, 3371, 616, 930, 5363, 4388, 547, 3247, 7803, 2534, 912, 10932, 5267, 602, 513, 4719, 3815, 568, 3238, 538, 7803, 2623, 269, 5525, 723, 3254, 602, 9838, 21054, 616, 811, 2693, 982, 9992, 11189, 3283, 547, 8858, 7803, 21274, 269, 3958, 267, 9838, 21054 ]

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

[ 1663, 21794, 538, 4399, 10401, 284, 271, 259, 1281, 711, 3132, 513, 4642, 538, 519, 14009, 269, 8734, 476, 2190, 6085, 8347, 532, 547, 6218, 606, 16789, 7533, 1210, 519, 2409, 540, 1950, 2079, 1269, 345, 815, 681, 552, 3867, 328, 1422, 9064, 348, 1422, 574, 18680, 546, 345, 815, 1775, 681, 552, 3867, 328, 1422, 9064, 348, 546, 24592, 10608, 0, 258, 645, 18847, 909, 1305, 5108, 543, 19280, 692, 12179, 1505, 827, 1022, 10230, 2409, 596, 917, 799, 949, 581, 4143, 267, 5225, 2022, 621, 1934, 2439, 1012, 17461, 692, 296, 723, 606, 5044, 540, 2387, 11161, 319, 585, 1142, 1305, 267, 543, 519, 4994, 547, 1142, 1871, 14687, 547, 519, 1305, 519, 1871, 568, 3808, 547, 267, 4061, 594, 2099, 513, 1305, 607, 606, 8870, 267, 1141, 2609, 2099, 519, 3787, 2990, 267, 661, 3052, 269, 513, 1305, 609, 3693, 835, 538, 621, 568, 6719, 607, 2387, 1862, 9826, 319, 1141, 2387, 272, 319, 568, 519, 2387, 11862, 289, 27471, 3383, 519, 1305, 568, 1152, 606, 4994, 543, 2760, 6740, 267, 621, 568, 6383, 593, 519, 8038, 267, 621, 568, 519, 1883, 602, 5012, 547, 519, 4994, 538, 519, 5044, 602, 2099, 2418, 540, 5036, 780, 1432, 594, 798, 568, 2016, 513, 1305, 267, 568, 519, 2040, 4364, 1871, 585, 1022, 540, 519, 6292, 3772, 771, 329, 2002, 15410, 3152, 982, 519, 1871, 585, 602, 1305, 269, 661, 3052, 269, 952, 1305, 2387, 18733, 272, 319, 723, 513, 1871, 540, 476, 274, 267, 1141, 1079, 29162, 723, 519, 1871, 540, 2387, 18089, 271, 815, 476, 273, 319, 543, 2387, 9826, 272, 815, 476, 273, 12452, 1287, 713, 24590, 568, 811, 6225, 547, 798, 269, 594, 798, 713, 585, 782, 29162, 540, 519, 1305, 780, 11693, 1614, 8069, 543, 519, 19280, 568, 519, 5036, 1297, 6041, 780, 18606, 1998, 314, 279, 316, 815, 2715, 271, 267, 272, 267, 273, 267, 275, 267, 274, 267, 273, 267, 275, 267, 273, 348, 519, 2418, 568, 711, 1271, 267, 1152, 875, 789, 616, 10288, 454, 271, 476, 271, 476, 271, 476, 271, 476, 272, 476, 272, 476, 272, 476, 272, 9049, 289, 3787, 6041, 540, 519, 4994, 454, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 454, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 700, 306, 289, 454, 32526, 16032, 24590, 540, 476, 9340, 568, 476, 18733, 543, 476, 1911, 609, 513, 2040, 540, 476, 278, 269, 1924, 547, 1205, 519, 1871, 540, 519, 1305, 799, 2270, 1152, 519, 1101, 3693, 267, 23908, 334, 476, 9826, 267, 596, 2322, 1130, 314, 272, 3910, 585, 1305, 609, 3693, 476, 272, 543, 476, 274, 263, 6200, 1070, 596, 2322, 1130, 314, 276, 316, 780, 1692, 519, 1130, 5044, 568, 10288, 950, 19882, 676, 3556, 514, 1275, 692, 18606, 1998, 314, 279, 316, 815, 2715, 271, 267, 272, 267, 273, 267, 274, 267, 275, 267, 273, 267, 275, 267, 273, 8679, 271, 476, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 476, 272, 9049, 289, 3787, 6041, 540, 519, 4994, 454, 271, 476, 271, 476, 272, 476, 271, 476, 272, 476, 271, 476, 272, 476, 272, 454, 271, 476, 272, 476, 271, 476, 271, 476, 272, 476, 272, 476, 271, 476, 272, 700, 306, 289, 454, 32526, 2080, 596, 723, 547, 14377, 519, 4994, 547, 519, 1318, 10822, 538, 519, 5044, 267, 865, 621, 1131, 1413, 899, 713, 585, 513, 1305, 609, 1152, 519, 3791, 3693, 538, 621, 263, 1911, 1070, 1130, 314, 10520, 17218, 263, 275, 264, 4940, 6056, 14249, 540, 2450, 3436, 273, 317, 1839, 2609, 269, 6733, 693, 25947, 4351, 3965, 1569, 950, 4351, 1569, 568, 2877, 585, 2417, 27792, 780, 4913, 267, 713, 2164, 538, 513, 1164, 1931, 540, 4351, 1569, 538, 519, 3965, 267, 1256, 952, 594, 1895, 873, 1310, 3556, 514, 1275, 269, 17497, 23454, 873, 676, 3556, 514, 1275, 267, 543, 10451, 606, 4994, 568, 14887, 982, 19280, 873, 1310, 519, 1297, 519, 1305, 4564, 780, 763, 1259, 594, 5352, 606, 4994, 609, 519, 5036, 19882, 676, 3556, 514, 1275, 568, 676, 1210, 533, 2444, 1023, 6906, 538, 3586, 3965, 607, 4330, 676, 519, 2626, 538, 10318, 514, 519, 682, 13877, 4919, 3845, 1063, 1079, 9981, 692, 1012, 7316, 519, 5036, 1871, 568, 4092, 950, 621, 568, 10288, 543, 19882, 676, 3556, 514, 1275, 609, 2185, 8069, 692, 18606, 333, 4994, 476, 272, 476, 476, 273, 476, 476, 275, 476, 476, 279, 672, 476, 274, 476, 476, 276, 476, 476, 277, 476, 476, 280, 476, 476, 1015, 476, 1321, 825, 476, 278, 476, 476, 1556, 476, 1724, 476, 1691, 825, 476, 1428, 454, 24801, 955, 8894, 5960, 289, 672, 476, 271, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 271, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 271, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 271, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 1923, 476, 476, 272, 454, 11862, 289, 672, 476, 272, 476, 476, 271, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 476, 272, 476, 476, 271, 476, 476, 271, 476, 1923, 476, 476, 272, 476, 476, 272, 476, 476, 272, 476, 476, 271, 476, 1923, 476, 476, 272, 454, 32526, 333, 4994, 2099, 519, 4994, 621, 1131, 723, 952, 711, 10288, 538, 3556, 514, 1275, 269, 901, 568, 1175, 547, 1397, 1141, 519, 1871, 585, 1142, 1305, 568, 4092, 780, 763, 8870, 1305, 2099, 606, 4994, 538, 519, 1871, 5044, 267, 2901, 998, 1463, 4994, 263, 6343, 594, 993, 4867, 3257, 267, 3947, 4351, 1569, 264, 610, 998, 513, 8144, 689, 519, 1305, 547, 606, 4994, 780, 1012, 634, 2856, 692, 21156, 540, 24590, 513, 1305, 883, 29162, 267, 594, 1498, 540, 10451, 519, 5036, 5377, 909, 269, 661, 3052, 269, 3079, 540, 24590, 2387, 18733, 272, 319, 547, 782, 540, 922, 6292, 3772, 771, 329, 2002, 29162, 267, 594, 1131, 693, 930, 1448, 5352, 952, 689, 519, 5036, 2387, 346, 18089, 271, 267, 9826, 272, 9574, 346, 9826, 271, 267, 18089, 272, 9574, 346, 1822, 272, 267, 18733, 271, 348, 27471, 1012, 1215, 543, 1946, 621, 1058, 960, 692, 306, 599, 649, 1616, 547, 6218, 782, 519, 8237, 14005, 540, 519, 5036, 609, 513, 3556, 514, 1275, 540, 476, 274, 267, 23908, 334, 5036, 2387, 278, 267, 1556, 267, 1724, 267, 1691, 18269, 1306, 519, 1152, 1259, 547, 8237, 513, 1305, 540, 3556, 514, 1275, 476, 274, 568, 676, 24590, 883, 5036, 540, 3556, 514, 1275, 476, 272, 543, 476, 273, 267, 649, 991, 547, 6218, 952, 519, 2040, 540, 1022, 540, 782, 519, 771, 329, 2002, 29162, 540, 3556, 514, 1275, 476, 272, 543, 476, 273, 568, 3152, 982, 519, 9769, 540, 1346, 5036, 780, 8253, 566, 540, 1018, 568, 2838, 9852, 599, 581, 513, 2370, 30096, 17107, 319, 347, 290, 347, 284, 333, 267, 4501, 478, 513, 14720, 2433, 513, 3980, 359, 536, 815, 595, 2073, 513, 3980, 358, 536, 815, 346, 383, 502, 9574, 1923, 320, 347, 266, 347, 321, 347, 815, 562, 26384, 3383, 676, 2542, 538, 519, 2418, 1210, 1071, 2297, 1027, 3965, 1569, 547, 1142, 8142, 267, 585, 1142, 29162, 602, 1106, 513, 1305, 540, 3556, 514, 1275, 562, 267, 2638, 952, 621, 922, 1871, 568, 3152, 982, 519, 4646, 1305, 267, 952, 865, 267, 9337, 519, 1871, 780, 26594, 1383, 267, 952, 2387, 333, 815, 476, 273, 319, 1287, 596, 1058, 1224, 538, 782, 2418, 609, 3556, 514, 1275, 476, 272, 267, 543, 798, 782, 10659, 540, 1346, 5036, 543, 9337, 9935, 269, 901, 1383, 568, 2653, 607, 782, 5036, 616, 771, 329, 2002, 1384, 18606, 335, 12065, 334, 3009, 585, 476, 275, 16060, 267, 3403, 3556, 272, 568, 24072, 547, 5044, 540, 5036, 1923, 338, 347, 815, 272, 454, 1029, 3333, 1563, 1029, 703, 1871, 314, 275, 30092, 7407, 314, 339, 573, 316, 815, 3556, 272, 314, 339, 573, 22049, 12262, 1071, 2297, 1027, 3965, 1569, 454, 842, 555, 7407, 815, 1871, 314, 339, 573, 22049, 12262, 6585, 519, 1871, 585, 519, 8142, 267, 547, 2057, 4871, 4655, 454, 842, 678, 7407, 314, 23026, 291, 574, 11859, 270, 273, 24557, 476, 271, 282, 12262, 9302, 519, 2040, 454, 842, 1775, 815, 3625, 291, 574, 11859, 3248, 842, 1535, 815, 476, 271, 3248, 2260, 516, 9134, 8520, 602, 21645, 5352, 26134, 5036, 454, 1721, 263, 282, 328, 285, 271, 282, 328, 9563, 284, 272, 264, 13634, 604, 6025, 573, 2999, 1775, 264, 13634, 343, 10030, 3248, 337, 7407, 20572, 268, 272, 316, 815, 1871, 27007, 339, 573, 21147, 264, 260, 23026, 291, 574, 11859, 316, 1341, 555, 7407, 3248, 8679, 8679, 1721, 9217, 815, 476, 271, 282, 1775, 2999, 1535, 282, 1775, 10030, 264, 13634, 842, 4994, 815, 1205, 8161, 6025, 573, 267, 328, 267, 272, 5148, 12262, 12033, 519, 4994, 585, 519, 1305, 621, 6383, 267, 476, 272, 2099, 519, 3556, 514, 1275, 454, 604, 263, 16059, 27709, 316, 2999, 678, 7407, 5157, 7481, 16059, 27709, 316, 815, 678, 7407, 5157, 30092, 8679, 32526, 296, 614, 566, 540, 519, 5786, 8520, 692, 18606, 1320, 1348, 1305, 1808, 585, 8142, 476, 1101, 21767, 2034, 21767, 454, 271, 8587, 476, 1822, 272, 4449, 672, 476, 1822, 272, 1341, 476, 9826, 271, 672, 476, 1822, 272, 1341, 476, 18089, 271, 454, 272, 8587, 476, 9826, 271, 4449, 672, 476, 9826, 271, 1341, 476, 18089, 271, 672, 476, 9826, 271, 1341, 476, 1911, 271, 454, 273, 8587, 476, 18089, 271, 4449, 672, 476, 18089, 271, 1341, 476, 1911, 271, 672, 9039, 454, 274, 8587, 476, 1911, 271, 4449, 672, 476, 1911, 271, 1341, 476, 1822, 272, 672, 9039, 454, 32526, 2026, 596, 1294, 267, 621, 723, 10099, 3481, 782, 519, 2418, 585, 782, 519, 15410, 602, 1106, 5036, 540, 3556, 514, 1275, 476, 273, 780, 763, 1966, 568, 2705, 602, 10451, 5036, 540, 3556, 514, 1275, 3152, 982, 476, 273, 568, 811, 8945, 1512, 267, 1813, 547, 711, 782, 5036, 616, 771, 329, 2002, 269, 661, 3052, 269, 476, 1822, 272, 543, 476, 9826, 272, 616, 711, 771, 329, 2002, 780, 16605, 538, 2247, 602, 594, 798, 711, 4558, 519, 5036, 9170, 267, 1152, 519, 1871, 585, 519, 5036, 780, 1012, 7053, 692, 1692, 1131, 596, 979, 827, 267, 2348, 713, 538, 2247, 267, 2870, 606, 5690, 602, 14509, 538, 519, 3965, 1071, 2297, 1027, 267, 543, 10451, 782, 5036, 689, 771, 329, 2002, 29162, 269, 9453, 10992, 2436, 519, 29162, 616, 771, 329, 2002, 267, 621, 1058, 581, 4625, 15002, 2065, 780, 1012, 1280, 29667, 344, 692, 763, 5690, 267, 1058, 581, 2901, 581, 4330, 1257, 609, 3982, 3268, 6825, 856, 267, 610, 29660, 3009, 780, 2005, 1058, 581, 8810, 609, 1806, 602, 621, 1568, 269, 3502, 602, 713, 5690, 4422, 909, 547, 562, 317, 3953, 5036, 267, 865, 621, 991, 547, 4336, 1134, 780, 763, 5690, 568, 4847, 547, 581, 838, 26860, 547, 1079, 610, 811, 8320, 267, 661, 3052, 269, 835, 585, 1256, 1297, 543, 835, 585, 9642, 780, 296, 1131, 19914, 569, 581, 5219, 547, 2959, 827, 519, 4480, 596, 946, 780, 763, 5690, 1058, 946, 607, 1906, 10467, 543, 5528, 607, 2009, 543, 1058, 2057, 1022, 27754, 269, 1809, 952, 596, 1589, 596, 3893, 835, 1256, 268, 2288, 596, 723, 513, 2603, 540, 713, 267, 2119, 543, 2022, 267, 594, 786, 581, 6126, 609, 1022, 1344, 780, 2252, 621, 568, 10288, 538, 1776, 1259, 855, 621, 1869, 1568, 607, 594, 723, 4330, 267, 594, 20882, 596, 547, 5225, 2022, 621, 1934, 267, 1022, 948, 568, 2731, 5363, 692, 1012, 570, 299, 270, 11403, 11822, 7778, 692, 296, 723, 606, 5044, 2387, 313, 319, 609, 2418, 267, 519, 4994, 2387, 328, 319, 607 ]

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

[ 4663, 1247, 10707, 286, 594, 4312, 4862, 789, 666, 581, 2731, 1187, 543, 8949, 2439, 7692, 281, 19743, 7705, 256, 589, 1426, 4663, 286, 6145, 3843, 1007, 3536, 538, 1114, 4025, 2496, 8334, 281, 22549, 256, 1411, 1205, 547, 6492, 2199, 32258, 543, 1451, 811, 827, 519, 2528, 998, 741, 11951, 269, 1809, 972, 616, 930, 1271, 1919, 547, 2015, 1354, 11836, 835, 780, 7692, 281, 26419, 286, 1548, 2186, 540, 1919, 2496, 8334, 281, 4270, 267, 3106, 568, 1898, 269, 1280, 1383, 267, 952, 596, 941, 3206, 540, 9683, 6792, 267, 596, 1522, 723, 8068, 602, 1978, 2127, 5749, 1405, 5227, 676, 519, 772, 2529, 269, 4972, 540, 3557, 1813, 547, 3106, 4145, 269, 1717, 267, 2694, 540, 5760, 334, 659, 17505, 1533, 267, 971, 607, 922, 3854, 2749, 267, 2859, 20377, 267, 616, 2808, 2922, 585, 14666, 269, 1924, 267, 950, 7446, 513, 1426, 4663, 267, 1118, 2386, 621, 781, 538, 513, 5150, 4087, 780, 7692, 281, 7937, 267, 594, 1294, 269, 1656, 1018, 3116, 1058, 649, 1832, 538, 2247, 2496, 8334, 281, 898, 781, 2629, 547, 1382, 519, 2754, 5356, 519, 4663, 269, 5269, 2386, 789, 2811, 18019, 267, 13931, 267, 543, 4225, 9882, 543, 19455, 4441, 269, 14856, 8265, 1426, 610, 9683, 1507, 552, 831, 625, 666, 581, 3078, 267, 855, 4189, 1945, 13572, 1223, 25010, 707, 2898, 16314, 2439, 7692, 281, 962, 10105, 267, 602, 2306, 2631, 269, 32506, 3116, 2496, 8334, 281, 2986, 1576, 256, 2142, 3222, 540, 1022, 8192, 9993, 610, 11959, 596, 949, 723, 269, 4004, 6510, 713, 5693, 547, 519, 3391, 865, 789, 666, 13918, 707, 2115, 9935, 269, 4746, 267, 3314, 602, 3006, 1282, 1426, 19150, 267, 596, 786, 3548, 811, 982, 8912, 267, 865, 10605, 3054, 2429, 519, 1554, 780, 7692, 281, 26272, 267, 7064, 585, 4687, 782, 713, 1344, 267, 7705, 256, 594, 2760, 7691, 972, 941, 865, 1082, 2188, 3238, 538, 1426, 19150, 780, 8334, 281, 3143, 1966, 267, 7585, 256, 1635, 5329, 891, 4388, 538, 2247, 267, 596, 666, 2327, 513, 9735, 1995, 1565, 827, 1114, 4529, 998, 741, 5023, 22476, 8286, 269, 9578, 267, 9327, 1405, 621, 581, 3579, 547, 2995, 3025, 1394, 1753, 799, 2189, 8670, 596, 6836, 543, 1141, 596, 1185, 621, 2496, 7692, 281, 4347, 17802, 256, 9320, 1985, 4832, 2736, 267, 649, 1223, 1544, 513, 7552, 1927, 543, 979, 593, 513, 1426, 4663, 12341, 780, 8334, 281, 16319, 3501, 256, 2913, 781, 1376, 3168, 883, 2009, 18353, 1631, 269, 1284, 1616, 547, 1118, 2386, 649, 3442, 20617, 543, 4019, 938, 9241, 4121, 1455, 2631, 1983, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 4913, 267, 5760, 334, 659, 17505, 3085, 1406, 4309, 607, 1082, 4914, 17631, 607, 1346, 824, 2829, 267, 2693, 1317, 621, 779, 593, 519, 2475, 4972, 540, 3557, 779, 968, 2710, 3502, 13488, 892, 1592, 269, 901, 568, 25031, 1317, 5760, 334, 659, 17505, 11951, 5963, 568, 835, 540, 519, 1655, 543, 1034, 4277, 538, 6792, 563, 299, 3089, 1176, 585, 721, 267, 519, 2475, 4972, 540, 3557, 1443, 2478, 1996, 782, 2951, 547, 5760, 334, 659, 534, 267, 4849, 547, 1079, 4872, 1107, 2859, 20377, 543, 32303, 16619, 9315, 523, 553, 269, 2334, 729, 782, 519, 22059, 649, 2877, 547, 1433, 1668, 17914, 547, 2859, 20377, 543, 2263, 1018, 5760, 334, 659, 17505, 1426, 729, 782, 827, 563, 2252, 596, 2951, 585, 1426, 899, 649, 798, 543, 6430, 547, 6108, 942, 538, 2859, 20377, 267, 1287, 1934, 616, 476, 1240, 1390, 14060, 547, 3643, 585, 519, 13820, 5006, 2757, 5760, 334, 659, 17505, 8286, 563, 300, 3036, 5085, 8656, 681, 12239, 288, 7838, 3198, 4811, 19532, 27912, 700, 2562, 16775, 454, 2414, 948, 596, 609, 707, 2859, 20377, 7552, 4058, 267, 649, 4076, 16432, 6402, 547, 2442, 20730, 267, 19150, 267, 543, 824, 2951, 5829, 2533, 1934, 563, 12749, 268, 3603, 20730, 538, 2578, 549, 267, 519, 1655, 1858, 547, 3251, 585, 1101, 6066, 8436, 547, 2859, 20377, 563, 268, 590, 697, 572, 4370, 12875, 281, 22337, 660, 1144, 4975, 12875, 454, 268, 4793, 345, 30501, 16619, 12875, 281, 4793, 345, 30501, 16619, 1107, 3967, 6308, 328, 3010, 2237, 513, 2143, 17187, 5188, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 15933, 570, 2293, 257, 607, 851, 540, 834, 307, 30728, 1315, 6792, 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, 1012, 4197, 9737, 1145, 2578, 337, 1275, 538, 8641, 7869, 692, 20877, 3069, 568, 513, 4241, 2361, 540, 1353, 602, 9388, 609, 519, 3601, 543, 3156, 540, 11708, 267, 799, 616, 6310, 3889, 1031, 547, 2203, 6292, 3772, 1894, 1063, 3615, 269, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 2878, 24992, 1145, 31344, 1275, 1262, 267, 513, 2268, 1031, 547, 3313, 519, 3310, 540, 513, 6843, 538, 513, 3113, 1759, 593, 519, 1297, 540, 20125, 10092, 602, 1780, 998, 621, 780, 2162, 7383, 532, 23905, 692, 6524, 649, 2253, 267, 1577, 781, 2327, 649, 723, 519, 2556, 8021, 8704, 543, 16865, 269, 1284, 786, 581, 1210, 2387, 31596, 12452, 2387, 335, 663, 553, 12452, 543, 2387, 23054, 4671, 944, 27471, 3499, 7090, 454, 5814, 11885, 454, 5814, 21795, 454, 5814, 3113, 4671, 944, 454, 5228, 3113, 4671, 944, 269, 1417, 337, 1275, 1104, 1063, 1145, 454, 7884, 2162, 20223, 9737, 1145, 2578, 337, 1275, 6206, 692, 763, 1063, 1145, 31344, 1275, 1883, 568, 513, 4756, 1031, 547, 4558, 519, 2012, 540, 519, 6241, 538, 938, 1239, 18134, 602, 786, 2270, 519, 1063, 1145, 31344, 1275, 2418, 780, 3499, 7090, 454, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 815, 1412, 24992, 1145, 318, 1417, 337, 1275, 7055, 7884, 2162, 29626, 9737, 1145, 2578, 337, 1275, 692, 3086, 267, 1577, 781, 5581, 513, 1599, 547, 5173, 519, 1063, 1145, 31344, 1275, 540, 513, 3113, 269, 901, 1599, 3217, 513, 3113, 607, 3403, 543, 7024, 1079, 1239, 325, 29707, 281, 835, 585, 519, 9136, 543, 835, 585, 519, 8728, 269, 3962, 1239, 18134, 3568, 519, 1063, 1145, 31344, 1275, 2418, 585, 519, 9757, 9136, 543, 8728, 780, 3499, 7090, 454, 3698, 3113, 10734, 15277, 1145, 318, 1417, 337, 1275, 14116, 1429, 2187, 825, 9136, 267, 8728, 815, 1063, 1145, 14116, 1429, 2020, 825, 9136, 12774, 18134, 815, 21795, 6185, 1092, 20988, 3799, 3941, 10947, 24512, 15405, 825, 8728, 12774, 18134, 815, 21795, 6185, 1092, 20988, 263, 539, 2471, 10947, 24512, 31156, 825, 9136, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 2639, 825, 8728, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 6540, 825, 9136, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 3799, 3941, 12774, 18134, 994, 825, 8728, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 263, 539, 2471, 12774, 18134, 2020, 825, 2132, 9136, 12774, 18134, 267, 8728, 12774, 18134, 454, 7884, 763, 2387, 24992, 1145, 319, 1599, 689, 519, 2387, 23054, 4671, 944, 269, 1417, 337, 1275, 319, 9074, 21410, 519, 1063, 1145, 31344, 1275, 540, 519, 9136, 543, 8728, 538, 519, 3113, 269, 634, 2164, 616, 6740, 538, 1079, 5094, 14249, 281, 2387, 333, 3941, 319, 543, 2387, 539, 2471, 18269, 1452, 14249, 616, 1287, 10736, 883, 1239, 325, 29707, 585, 4443, 12879, 543, 2079, 780, 763, 2387, 3712, 8435, 319, 14487, 540, 519, 1239, 325, 29707, 568, 1031, 547, 1305, 519, 2012, 540, 519, 6241, 5627, 519, 1063, 1145, 31344, 1275, 2418, 780, 7661, 267, 519, 2387, 338, 677, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 319, 1599, 568, 1572, 547, 4990, 519, 1239, 325, 29707, 538, 27312, 1931, 1759, 593, 519, 1063, 1145, 31344, 1275, 2418, 269, 901, 2636, 721, 547, 3362, 2697, 519, 9136, 543, 8728, 609, 519, 5207, 1063, 1145, 31344, 1275, 780, 2162, 590, 15659, 4578, 325, 29707, 585, 9737, 1145, 2578, 337, 1275, 692, 763, 2387, 338, 677, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 319, 1599, 3217, 513, 1239, 18134, 607, 3403, 543, 7024, 513, 1007, 1239, 18134, 15044, 676, 519, 1063, 1145, 31344, 1275, 2418, 538, 27312, 1931, 780, 3499, 7090, 454, 3698, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 16597, 18134, 2187, 825, 2132, 1239, 18134, 31699, 28767, 8443, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 3910, 26799, 25716, 994, 7884, 763, 2387, 338, 677, 28767, 319, 1599, 689, 519, 2387, 335, 663, 553, 319, 5399, 568, 1031, 547, 4990, 519, 1239, 18134, 269, 634, 2387, 2444, 2056, 25716, 319, 4661, 5849, 602, 519, 1239, 18134, 568, 15044, 538, 27312, 1931, 780, 2162, 10390, 692, 1103, 713, 3184, 267, 649, 723, 8268, 519, 1523, 540, 1063, 1145, 31344, 1275, 543, 4121, 875, 547, 5173, 621, 585, 519, 9136, 543, 8728, 538, 513, 3113, 269, 1284, 723, 849, 2938, 875, 547, 4990, 519, 2164, 547, 2697, 519, 9136, 543, 8728, 609, 519, 5207, 1063, 1145, 31344, 1275, 269, 901, 1702, 786, 581, 17170, 607, 649, 3136, 547, 2263, 519, 4241, 1158, 540, 3113, 3069, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 454, 5814, 21795, 454, 5814, 3113, 4671, 944, 454, 5228, 3113, 4671, 944, 269, 1417, 337, 1275, 1104, 1063, 1145, 692, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 815, 1412, 24992, 1145, 318, 1417, 337, 1275, 262, 7531, 258, 6726, 919, 519, 8006, 540, 513, 3113, 454, 3698, 3113, 10734, 15277, 1145, 318, 1417, 337, 1275, 14116, 1429, 2187, 825, 9136, 267, 8728, 815, 1063, 1145, 14116, 1429, 2020, 825, 9136, 12774, 18134, 815, 21795, 6185, 1092, 20988, 3799, 3941, 10947, 24512, 15405, 825, 8728, 12774, 18134, 815, 21795, 6185, 1092, 20988, 263, 539, 2471, 10947, 24512, 31156, 825, 9136, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 2639, 825, 8728, 12774, 18134, 31815, 8435, 815, 1496, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 6540, 825, 9136, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 3799, 3941, 12774, 18134, 994, 825, 8728, 12774, 18134, 815, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 263, 539, 2471, 12774, 18134, 2020, 825, 2132, 9136, 12774, 18134, 267, 8728, 12774, 18134, 7531, 258, 23037, 513, 1239, 18134, 5627, 6843, 1344, 585, 519, 538, 4110, 454, 3698, 4990, 318, 1721, 10734, 15277, 1145, 318, 1417, 337, 1275, 16597, 18134, 2187, 825, 2132, 1239, 18134, 31699, 28767, 8443, 24992, 1145, 318, 1417, 337, 1275, 318, 4486, 3910, 26799, 25716, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 609, 19900, 1257, 543, 3009, 12612, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 930, 2596, 1702, 540, 519, 1641, 269, 476, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 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, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 277, 281, 2334, 7815, 1143, 543, 3026, 565, 28515, 1234, 13257, 630, 3192, 280, 268, 1960, 271, 2020, 7072, 692, 763, 3735, 14206, 2540, 14754, 1713, 14759, 538, 3703, 6214, 267, 2486, 267, 543, 4346, 602, 1131, 1305, 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 ]

[ 0, 24092, 3446, 7005, 1557, 3259, 454, 12626, 3332, 1603, 3391, 476, 273, 7005, 3332, 1557, 693, 6280, 1377, 1294, 849, 519, 3446, 6934, 832, 585, 519, 7005, 3332, 8257, 2630, 476, 275, 269, 1215, 547, 2328, 606, 7005, 1557, 950, 2921, 7005, 6030, 538, 1164, 1153, 543, 2852, 267, 596, 3513, 2693, 581, 8655, 547, 2328, 3594, 949, 1267, 538, 513, 4057, 3446, 269, 4841, 1419, 18930, 936, 875, 1279, 519, 6067, 1557, 3259, 1058, 581, 1934, 568, 513, 1239, 9141, 2626, 547, 2995, 596, 827, 798, 3425, 3988, 3446, 1250, 6067, 3594, 563, 277, 628, 3446, 1557, 3584, 875, 1082, 9433, 1058, 513, 3044, 1557, 723, 1382, 4574, 543, 17440, 538, 7005, 1557, 10274, 269, 8419, 4441, 10526, 7005, 1893, 6575, 3446, 476, 274, 533, 23336, 533, 23336, 533, 23336, 476, 272, 560, 1032, 524, 23336, 2328, 606, 1557, 538, 799, 596, 2285, 707, 6644, 827, 1547, 11621, 585, 513, 524, 3446, 538, 7005, 5888, 543, 3259, 267, 543, 9356, 519, 519, 524, 1957, 5205, 519, 14908, 540, 3044, 2854, 721, 7005, 269, 1215, 547, 2328, 606, 513, 17263, 2852, 1557, 547, 519, 3375, 1373, 3144, 547, 6318, 519, 3044, 1449, 865, 513, 2362, 1665, 1797, 519, 1557, 4845, 3259, 896, 563, 1015, 628, 3446, 1557, 3594, 543, 1382, 4574, 713, 568, 519, 1482, 3259, 607, 519, 1557, 538, 3446, 476, 279, 1107, 7005, 1557, 968, 4958, 749, 3184, 476, 1428, 689, 269, 5131, 267, 7792, 476, 277, 628, 3446, 1714, 320, 1455, 4295, 3211, 2882, 1893, 267, 21141, 267, 13654, 1983, 543, 811, 946, 538, 1362, 610, 1753, 3643, 2221, 563, 19177, 628, 3446, 1603, 4441, 8772, 3446, 4441, 267, 8772, 3446, 2542, 4441, 267, 8772, 3446, 1603, 4441, 267, 8772, 3446, 1603, 267, 8772, 3446, 1983, 267, 1603, 4441, 8772, 3446, 269, 8073, 4277, 543, 1187, 3992, 4566, 585, 707, 476, 1015, 628, 3446, 7005, 5049, 3328, 3992, 3259, 281, 476, 1704, 11271, 538, 476, 1015, 628, 3446, 7005, 6437, 4199, 269, 12834, 540, 1603, 4441, 585, 1605, 22770, 543, 1000, 27097, 3446, 543, 519, 2953, 946, 540, 3044, 7819, 7005, 476, 1556, 628, 17603, 543, 513, 14436, 1557, 563, 296, 723, 593, 16746, 593, 535, 27518, 543, 1775, 9709, 547, 1826, 621, 909, 14182, 267, 855, 519, 4116, 5795, 1100, 3259, 4170, 267, 543, 1775, 4312, 1100, 2856, 875, 1279, 547, 1118, 621, 269, 10842, 5202, 547, 3044, 1557, 1106, 621, 666, 2039, 538, 3259, 689, 835, 5037, 547, 811, 982, 630, 10472, 23988, 568, 7361, 1759, 593, 7005, 1568, 693, 7086, 7596, 564, 269, 589, 536, 25900, 17486, 1125, 6281, 1153, 14469, 4199, 585, 3044, 3446, 7005, 593, 519, 2673, 2542, 981, 267, 2673, 2542, 5931, 267, 1603, 267, 5339, 3029, 267, 16664, 563, 22826, 4441, 3594, 281, 936, 476, 5197, 267, 1822, 3450, 4441, 3594, 267, 3450, 4441, 2165, 4574, 267, 3450, 4441, 1382, 1957, 267, 1433, 5359, 476, 7277, 476, 31275, 3594, 267, 2165, 543, 1382, 4574, 2139, 585, 19957, 1569, 269, 589, 1377, 268, 278, 1557, 585, 16481, 7005, 981, 1957, 476, 272, 513, 1377, 268, 278, 1557, 585, 16481, 7005, 981, 1957, 476, 272, 910, 16555, 4063, 281, 713, 568, 2025, 519, 1576, 814, 4957, 269, 14168, 543, 2241, 7005, 3594, 593, 1585, 1455, 3584, 585, 1453, 543, 1053, 1265, 1557, 3584, 543, 1557, 2093, 585, 1126, 563, 268, 476, 276, 1603, 513, 5098, 3948, 513, 5098, 3948, 568, 835, 4845, 538, 519, 6679, 3948, 540, 606, 4081, 1557, 799, 2829, 519, 1292, 2856, 540, 519, 1382, 519, 2596, 4542, 585, 513, 5098, 3948, 568, 281, 563, 268, 3212, 15501, 3044, 5359, 7650, 25411, 541, 1603, 543, 7005, 1775, 267, 13797, 267, 25831, 2200, 25411, 541, 3446, 476, 275, 1603, 751, 1186, 320, 6881, 563, 10403, 10855, 1557, 3446, 476, 277, 2681, 12773, 610, 1557, 3259, 547, 606, 11108, 3044, 519, 1966, 568, 602, 3446, 10637, 568, 9648, 811, 269, 26929, 707, 4928, 6044, 538, 1455, 4295, 7005, 1893, 6575, 4441, 910, 1603, 585, 3446, 476, 278, 609, 713, 4015, 540, 4245, 1187, 269, 1215, 1082, 2053, 814, 519, 1739, 7018, 547, 596, 281, 596, 6108, 9118, 3108, 2324, 593, 606, 8655, 7005, 1557, 543, 1869, 4309, 513, 1970, 3446, 1813, 547, 519, 17418, 547, 2743, 519, 1557, 5528, 269, 7476, 3758, 0, 29910, 281, 3864, 6611, 10837, 781, 19026, 18124, 814, 6368, 8694, 922, 5216, 4458, 5692, 1310, 2484, 23630, 922, 9709, 1272, 563, 763, 14361, 267, 799, 814, 1044, 593, 606, 14248, 18967, 673, 476, 2190, 5662, 10739, 267, 21409, 476, 5780, 476, 1822, 5998, 1657, 519, 5045, 15393, 693, 922, 9663, 1492, 560, 1448, 543, 547, 1369, 476, 1220, 5998, 936, 519, 5087, 15393, 593, 922, 14191, 1935, 267, 25356, 922, 4412, 749, 656, 1282, 513, 3126, 540, 555, 745, 3122, 17236, 547, 6318, 922, 10739, 1739, 519, 1970, 268, 5306, 3363, 7098, 984, 571, 6362, 4505, 713, 1032, 563, 4913, 267, 1310, 5216, 1296, 538, 10739, 543, 609, 4412, 749, 656, 585, 922, 27668, 1062, 4881, 1970, 267, 19026, 18124, 729, 25461, 538, 4571, 268, 1001, 275, 609, 513, 29412, 7098, 984, 571, 6362, 5859, 267, 1282, 799, 621, 1019, 5529, 24482, 2539, 883, 519, 5790, 593, 922, 14191, 4485, 547, 519, 4541, 563, 32207, 958, 267, 519, 14361, 1131, 1685, 6296, 555, 745, 3122, 17236, 547, 2327, 602, 621, 1705, 711, 2097, 1932, 2673, 547, 19026, 543, 1981, 1373, 4503, 538, 519, 5790, 269, 1809, 713, 2189, 7045, 729, 6322, 693, 8236, 519, 6587, 267, 12077, 4227, 519, 15820, 543, 3850, 606, 3408, 540, 5892, 17946, 14975, 4525, 540, 519, 5790, 563, 17359, 3346, 609, 19026, 18124, 729, 4503, 593, 476, 2764, 5437, 543, 2094, 1287, 519, 7658, 11496, 543, 7658, 12252, 6402, 1185, 1044, 13148, 556, 28004, 267, 855, 789, 941, 1360, 18633, 543, 1152, 3908, 1344, 1223, 581, 27366, 563, 15031, 4459, 9410, 267, 30673, 781, 19026, 18124, 5692, 9614, 267, 1767, 602, 519, 2139, 1344, 2488, 2963, 540, 519, 14361, 9561, 10182, 1852, 1034, 2693, 1813, 547, 19876, 2042, 1282, 519, 9870, 18902, 951, 543, 621, 4667, 2693, 267, 4061, 267, 602, 19026, 18124, 25356, 922, 6967, 4412, 749, 656, 827, 3368, 1259, 998, 519, 9709, 812, 4141, 12320, 637, 2063, 3923, 269, 0, 1432, 4523, 1985, 5673, 593, 519, 2470, 540, 519, 4837, 2627, 563, 2252, 519, 4837, 941, 9985, 6366, 267, 543, 9985, 2973, 267, 519, 2178, 28455, 1063, 519, 1216, 6675, 543, 519, 28920, 32281, 4837, 1131, 1450, 519, 1216, 547, 3262, 856, 14961, 936, 519, 2627, 540, 519, 4837, 865, 596, 1131, 1869, 581, 2111, 547, 1294, 998, 519, 4837, 563, 2252, 519, 4837, 568, 18660, 621, 814, 606, 19514, 3382, 540, 28920, 11131, 5536, 799, 6971, 519, 23287, 4229, 1063, 519, 1216, 543, 519, 2627, 4611, 538, 513, 21318, 540, 1507, 1216, 20256, 10655, 593, 519, 2627, 799, 1797, 621, 568, 9875, 547, 1294, 998, 519, 4837, 563, 25565, 2081, 540, 5329, 519, 4837, 540, 1286, 9486, 834, 325, 690, 1863, 257, 1331, 530, 31441, 519, 1216, 1055, 952, 621, 568, 593, 519, 3544, 267, 610, 7432, 593, 519, 22865, 610, 2011, 8410, 1288, 518, 547, 2333, 519, 2557, 540, 21381, 952, 519, 834, 325, 690, 257, 568, 593, 519, 3330, 540, 519, 1286, 563, 5804, 513, 7998, 1448, 540, 2070, 267, 649, 666, 1294, 972, 616, 1079, 2009, 4485, 547, 1818, 513, 15098, 585, 519, 4837, 2627, 865, 602, 621, 786, 3251, 834, 325, 690, 1863, 13426, 268, 5269, 606, 5393, 28920, 11131, 267, 12001, 15098, 267, 1287, 1022, 1216, 602, 2501, 883, 3346, 609, 519, 2627, 786, 711, 15666, 693, 782, 543, 786, 1175, 2196, 1055, 269, 901, 568, 519, 2757, 1935, 1031, 547, 1711, 1216, 28084, 550, 23541, 543, 2326, 563, 268, 5269, 606, 5393, 28920, 32281, 267, 12001, 15098, 865, 602, 1022, 1216, 982, 2501, 883, 3346, 609, 519, 2627, 786, 3262, 856, 14961, 267, 1818, 606, 5393, 6094, 267, 12001, 267, 4494, 936, 519, 2627, 269, 901, 568, 1018, 3744, 693, 589, 265, 4306, 2752, 781, 4659, 540, 10049, 3194, 543, 7177, 630, 8379, 3918, 264, 723, 2944, 269, 1358, 723, 2813, 513, 1007, 2029, 267, 11162, 28733, 267, 799, 568, 513, 14463, 543, 8628, 17375, 15098, 602, 568, 12001, 543, 2706, 5139, 5268, 32281, 267, 799, 1797, 621, 24643, 1216, 3079, 540, 1065, 2454, 621, 563, 763, 10837, 585, 3163, 267, 5303, 543, 3194, 630, 288, 265, 4306, 2752, 1040, 834, 17730, 513, 1216, 4494, 585, 513, 20501, 2070, 1701, 3163, 291, 2905, 269, 3163, 291, 2905, 267, 476, 1321, 4873, 476, 1001, 275, 269, 8940, 4732, 857, 10642, 2905, 2593, 22812, 548, 1162, 270, 1001, 275, 270, 6187, 270, 9610, 277, 1321, 18891, 25396, 21867, 563, 22296, 2248, 539, 5530, 5999, 454, 268, 3503, 513, 7059, 3114, 3830, 547, 1397, 519, 28198, 540, 31529, 1216, 593, 513, 4837, 2627, 563, 268, 3503, 513, 7059, 3114, 3830, 547, 1397, 875, 5277, 1216, 18493, 919, 1055, 513, 4837, 2627, 563, 268, 2422, 630, 7219, 2045, 264, 9325, 3069, 540, 2339, 547, 2491, 1018, 4523, 950, 1216, 7873, 5151, 543, 18493, 919, 563, 268, 16294, 519, 2474, 28920, 32281, 543, 28920, 11131, 563, 268, 16294, 519, 2474, 28455, 543, 22122, 563, 268, 11512, 1946, 1216, 3029, 20085, 20256, 563, 268, 11512, 1946, 4837, 568, 513, 28920, 32281, 2627, 563, 268, 11512, 1946, 18660, 4837, 267, 4837, 4988, 609, 522, 1176, 5536, 267, 568, 28920, 11131, 563, 268, 11512, 875, 513, 1216, 28084, 550, 15098, 593, 4837, 1522, 960, 563, 268, 9181, 1761, 2042, 609, 1210, 11162, 28733, 593, 1286, 9486, 267, 602, 568, 267, 1018, 2188, 1522, 2569, 922, 7145, 543, 1946, 269, 0, 10712, 26743, 10699, 545, 5564, 21725, 10871, 3955, 31673, 725, 454, 331, 1539, 568, 513, 3838, 5399, 585, 11410, 565, 725, 538, 909, 547, 476, 275, 7516, 269, 769, 1931, 547, 5173, 519, 14170, 540, 519, 12945, 1135, 2106, 558, 267, 1152, 2199, 2418, 616, 1031, 281, 634, 1239, 3294, 543, 782, 10659, 540, 1101, 19195, 16755, 267, 1775, 4318, 269, 538, 476, 273, 291, 535, 13448, 267, 535, 14729, 543, 535, 13448, 344, 269, 901, 568, 538, 4334, 547, 10943, 1149, 267, 1141, 519, 14170, 616, 711, 7229, 1210, 16755, 267, 855, 1875, 2000, 5914, 1239, 267, 799, 666, 1291, 547, 936, 1606, 15879, 5847, 519, 1267, 563, 763, 10325, 814, 1044, 2919, 693, 519, 2160, 540, 25611, 269, 898, 568, 1759, 593, 700, 2131, 1329, 1299, 9370, 6577, 476, 1220, 276, 267, 609, 9283, 676, 12253, 26172, 3317, 9528, 543, 8045, 676, 27055, 553, 674, 6686, 326, 4289, 29993, 538, 595, 267, 5124, 543, 27813, 563, 763, 5399, 814, 1044, 2919, 1210, 1449, 12454, 1020, 324, 618, 630, 307, 24884, 1070, 1775, 4318, 269, 513, 1449, 2013, 568, 2854, 1354, 519, 4890, 1599, 568, 8045, 269, 2334, 1259, 267, 835, 2306, 2386, 1169, 1449, 666, 3111, 267, 543, 602, 519, 4890, 1599, 10596, 519, 1449, 563, 763, 5399, 814, 1044, 7318, 609, 5595, 8856, 269, 898, 568, 2009, 547, 29289, 609, 2582, 8856, 267, 676, 10747, 519, 4756, 11555, 3201, 284, 15615, 269, 901, 814, 2705, 711, 1044, 7318, 2943, 563, 763, 5399, 666, 581, 5532, 1312, 2493, 1227, 543, 29858, 269, 589, 9226, 2914, 571, 3899, 568, 2139, 538, 9226, 15828, 1539, 267, 799, 568, 1152, 2324, 609, 5595, 8856, 693, 713, 4090, 563, 5141, 821, 513, 5299, 540, 1327, 328, 547, 707, 2199, 2780, 543, 1118, 519, 3838, 5399, 912, 326, 527, 804, 821, 4179, 2517, 326, 603, 889, 2593, 12458, 293, 826, 326, 4289, 29993, 15828, 1539, 3052, 527, 524, 323, 1327, 328, 1118, 454, 763, 3838, 5399, 786, 581, 538, 5391, 15828, 7441, 1539, 269, 810, 267, 519, 20927, 1922, 3796, 538, 1331, 32551, 519, 9226, 9074, 538, 9226, 15828, 1539, 563, 2414, 1449, 519, 2493, 1227, 5532, 1449, 1922, 3796, 267, 1826, 454, 2414, 1449, 519, 29858, 5532, 9226, 23150, 1922, 3796, 267, 1826, 454, 1410, 1636, 31298, 318, 299, 296, 16576, 14473, 318, 303, 26059, 284, 259, 17162, 318, 299, 296, 16576, 14473, 318, 303, 26059, 281, 259, 263, 335, 23424, 8358, 12221, 13143, 623, 312, 8025, 2177, 303, 26059, 284, 259, 303, 312, 8025, 2177, 303, 26059, 281, 259, 263, 335, 23424, 8358, 7090, 1118, 7510, 11687, 454, 763, 595, 23150, 325, 3796, 538, 1449, 270, 543, 519, 9226, 23150, 325, 3796, 538, 9226, 270, 11687, 616, 29499, 543, 1397, 519, 10342, 540, 782, 3252, 563, 1103, 1931, 547, 946, 1327, 328, 538, 5124, 267, 596, 1101, 991 ]

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

[ 577, 4345, 10387, 19148, 572, 2742, 32247, 30126, 17422, 2068, 630, 4596, 11520, 264, 299, 2426, 2860, 29587, 2068, 2171, 2586, 539, 4761, 1062, 289, 1258, 577, 4345, 30926, 8673, 666, 3441, 519, 11487, 14024, 267, 610, 519, 15102, 998, 799, 2011, 12599, 547, 519, 9641, 269, 4746, 267, 513, 19221, 540, 13545, 538, 519, 9641, 666, 2014, 513, 15137, 518, 547, 723, 13352, 540, 796, 19055, 762, 23472, 9950, 332, 19148, 572, 2742, 901, 2068, 666, 1118, 513, 1268, 946, 1034, 540, 1010, 610, 1200, 1648, 1175, 547, 13236, 269, 2506, 19148, 572, 2742, 568, 513, 1455, 2014, 540, 2669, 585, 21596, 269, 32247, 30126, 17422, 2068, 630, 4596, 11520, 264, 901, 2783, 2882, 5312, 32583, 267, 10447, 267, 543, 900, 19148, 572, 2742, 11482, 2426, 2860, 27819, 476, 3445, 2600, 540, 5761, 2860, 7972, 616, 3361, 676, 7296, 269, 29587, 2068, 634, 15522, 538, 10269, 7494, 4679, 519, 1981, 540, 2295, 4323, 610, 8482, 269, 2171, 2586, 539, 4761, 1062, 7043, 3856, 10269, 946, 28746, 519, 1560, 781, 23640, 1996, 1585, 3676, 269, 30926, 3755, 616, 849, 811, 2693, 547, 1205, 1455, 10108, 971, 607, 11522, 338, 267, 897, 1091, 267, 543, 11959, 563, 4391, 570, 3008, 298, 476, 274, 281, 589, 8779, 569, 14068, 13206, 527, 25003, 568, 513, 14427, 4356, 269, 2422, 519, 3896, 2630, 547, 2626, 2055, 476, 275, 543, 476, 276, 827, 875, 1454, 2724, 7296, 666, 1942, 513, 1268, 538, 835, 1032, 563, 4343, 570, 3008, 298, 476, 275, 281, 8196, 519, 3896, 2630, 547, 2097, 909, 1614, 4128, 547, 5000, 513, 2385, 547, 16718, 7296, 543, 2626, 2243, 476, 277, 563, 4375, 17130, 476, 276, 281, 30258, 547, 2372, 527, 25003, 3619, 547, 519, 3095, 2630, 543, 946, 621, 547, 2626, 2055, 476, 278, 543, 476, 279, 827, 519, 2640, 540, 29655, 7296, 563, 2412, 17130, 476, 277, 281, 10613, 585, 2372, 9231, 25003, 3619, 547, 519, 3896, 2630, 543, 547, 2626, 2243, 476, 280, 827, 29655, 7296, 563, 6078, 12327, 307, 6938, 10911, 3633, 3951, 281, 968, 1432, 8866, 17166, 6168, 30926, 892, 1403, 596, 9096, 519, 960, 693, 519, 7740, 1354, 519, 1974, 568, 936, 267, 1224, 519, 2376, 267, 968, 1432, 8866, 17166, 6168, 30926, 5608, 543, 2328, 1079, 1919, 602, 14281, 596, 610, 602, 596, 4769, 1406, 917, 269, 0, 1607, 2534, 568, 5921, 585, 2575, 3610, 547, 946, 609, 2539, 10026, 1053, 269, 634, 3483, 540, 22073, 8074, 268, 20091, 267, 5426, 476, 272, 568, 547, 16616, 1762, 2206, 619, 547, 1164, 543, 1970, 8486, 2583, 593, 519, 1726, 1076, 5234, 1247, 6220, 4063, 268, 15105, 1983, 269, 2991, 454, 1607, 2534, 10905, 4626, 3691, 267, 7664, 267, 2575, 540, 476, 2641, 560, 11416, 3979, 1977, 1290, 1842, 619, 267, 543, 6947, 1983, 609, 5678, 8551, 543, 21371, 563, 8196, 1775, 307, 17480, 610, 1022, 824, 2575, 5399, 547, 1265, 519, 8964, 7396, 593, 519, 4976, 269, 5620, 873, 0, 763, 590, 13967, 5530, 7666, 728, 281, 634, 25360, 916, 12857, 3988, 547, 13416, 14172, 593, 519, 25360, 916, 543, 547, 519, 25360, 916, 2933, 267, 711, 2547, 741, 2101, 24396, 4798, 269, 3509, 1053, 616, 14542, 609, 519, 6196, 11620, 543, 6560, 547, 1569, 621, 267, 609, 519, 9868, 540, 519, 25360, 916, 267, 799, 616, 811, 5432, 998, 741, 946, 538, 4168, 10847, 543, 2943, 2709, 3407, 4030, 883, 519, 1158, 540, 519, 6196, 11620, 269, 634, 1433, 786, 581, 3226, 3730, 585, 1053, 593, 6280, 25890, 543, 24547, 5448, 6030, 267, 3921, 514, 1343, 543, 3988, 538, 2866, 267, 543, 2043, 2324, 593, 741, 11173, 14012, 658, 2069, 610, 16462, 547, 9337, 741, 2090, 269, 3962, 3184, 814, 1257, 7901, 525, 267, 1353, 2055, 543, 10372, 585, 2417, 2542, 269, 1703, 616, 2013, 2090, 540, 930, 540, 519, 1034, 5432, 25360, 916, 543, 519, 1433, 814, 513, 29395, 540, 2930, 2474, 269, 0, 763, 3310, 540, 10795, 2686, 5389, 593, 519, 3197, 540, 12225, 2873, 540, 513, 2669, 2062, 339, 1245, 910, 575, 629, 21119, 575, 2117, 807, 2261, 4302, 345, 1557, 9551, 757, 540, 5208, 543, 14407, 21440, 602, 21656, 741, 2528, 543, 741, 1686, 269, 8836, 4282, 1557, 1806, 519, 2956, 540, 519, 11091, 540, 2528, 538, 8350, 12340, 3623, 14150, 781, 519, 812, 547, 6494, 4764, 12269, 543, 1085, 2714, 3158, 611, 599, 781, 519, 1259, 547, 269, 6744, 856, 938, 1283, 1863, 3594, 593, 7262, 2528, 3310, 538, 683, 25659, 547, 948, 596, 2328, 707, 1378, 1557, 269, 8836, 7506, 593, 2043, 2013, 1353, 9183, 1948, 273, 281, 23891, 564, 1932, 1419, 267, 649, 4043, 547, 896, 15041, 3508, 1125, 519, 3099, 540, 2686, 7506, 602, 1764, 1022, 2016, 1367, 267, 1818, 1864, 610, 1200, 519, 2189, 1268, 646, 610, 1352, 568, 630, 323, 14525, 267, 476, 1001, 272, 563, 13625, 827, 2528, 3310, 593, 1126, 1857, 6340, 8467, 1557, 7819, 16806, 7260, 24890, 1557, 2688, 1382, 1957, 1603, 3028, 7817, 12031, 8034, 10874, 4802, 1979, 32554, 773, 3768, 476, 30444, 536, 326, 321, 581, 7371, 1408, 1557, 2527, 1198, 476, 274, 6905, 10678, 10282, 1557, 269, 1215, 1250, 2528, 1491, 3310, 593, 803, 519, 5072, 540, 642, 28126, 781, 2528, 616, 16119, 5127, 4765, 538, 8536, 1296, 540, 24349, 28735, 267, 855, 824, 7506, 723, 5280, 547, 3337, 642, 28126, 781, 7214, 10781, 543, 1259, 540, 1272, 891, 616, 4470, 593, 1585, 2245, 267, 9821, 267, 543, 4525, 789, 723, 269, 9177, 1957, 5528, 281, 875, 1281, 2528, 3310, 1893, 543, 1893, 3310, 2528, 630, 322, 8590, 19795, 281, 606, 4294, 5133, 264, 713, 3135, 568, 1210, 694, 334, 536, 659, 31904, 11690, 514, 2813, 676, 1327, 14585, 648, 3836, 9708, 281, 9857, 8736, 5126, 329, 329, 276, 659, 27854, 948, 2228, 563, 290, 11857, 7506, 1480, 2623, 676, 519, 1259, 602, 596, 2170, 609, 824, 1004, 621, 849, 2337, 547, 3095, 1082, 1114, 1004, 1927, 2528, 786, 948, 596, 547, 6430, 1018, 707, 2640, 616, 267, 875, 649, 4308, 609, 824, 1004, 267, 543, 519, 3838, 2093, 602, 649, 4096, 593, 269, 4828, 593, 519, 3310, 540, 4984, 593, 1920, 281, 519, 4984, 814, 5129, 513, 1360, 1271, 543, 2629, 1909, 543, 814, 3964, 2620, 12082, 2360, 827, 1585, 9821, 543, 5389, 540, 1142, 1367, 2486, 1256, 2221, 267, 519, 2528, 543, 5389, 616, 2047, 5532, 609, 4984, 1152, 4061, 269, 9177, 543, 1646, 1557, 3732, 972, 616, 1082, 2188, 602, 3310, 1453, 585, 519, 1964, 540, 741, 2729, 543, 875, 789, 786, 2170, 543, 3514, 538, 547, 2486, 269, 5131, 1557, 281, 519, 2243, 649, 616, 16460, 568, 267, 875, 1281, 2528, 3310, 3961, 1646, 676, 519, 1439, 540, 713, 1957, 596, 1131, 581, 2111, 547, 9959, 602, 1100, 269, 634, 2243, 649, 616, 16460, 568, 267, 875, 1281, 2528, 3310, 3961, 1646, 676, 519, 1439, 540, 713, 1957, 596, 1131, 581, 2111, 547, 9959, 602, 1100, 2339, 1018, 519, 10450, 540, 606, 1367, 568, 621, 786, 723, 930, 4990, 540, 606, 1198, 593, 2901, 519, 2168, 610, 2790, 3344, 540, 606, 1367, 538, 1931, 563, 290, 11857, 12523, 538, 2790, 1072, 2533, 4978, 543, 2418, 602, 3310, 2790, 1072, 621, 666, 723, 606, 1764, 593, 875, 2790, 4576, 568, 9228, 610, 8995, 269, 7151, 4574, 476, 273, 2527, 2923, 543, 922, 3310, 593, 7819, 1402, 2528, 713, 5693, 2982, 602, 267, 1851, 519, 7506, 519, 2527, 2923, 814, 593, 7819, 1402, 2528, 269, 9177, 543, 1646, 1957, 538, 2221, 781, 1158, 267, 972, 616, 1082, 1114, 4529, 2528, 568, 851, 540, 606, 10867, 270, 18876, 781, 1646, 519, 10867, 270, 18876, 781, 2528, 2337, 873, 1020, 883, 945, 789, 1831, 950, 789, 616, 4079, 513, 1268, 781, 2528, 814, 3310, 593, 741, 4189, 267, 12008, 267, 543, 269, 11352, 707, 2686, 7506, 538, 555, 16233, 1957, 693, 10097, 5777, 609, 2661, 17549, 15276, 1260, 513, 2686, 3310, 568, 519, 1379, 689, 835, 2528, 547, 1860, 1776, 2486, 781, 6208, 543, 5615, 972, 616, 1082, 824, 4529, 602, 3310, 555, 16233, 563, 13563, 2923, 3310, 593, 2518, 2528, 1557, 910, 7819, 2923, 3310, 593, 2518, 2528, 1402, 2528, 568, 513, 2165, 22579, 676, 1914, 5505, 547, 5581, 7819, 2923, 3310, 2221, 2486, 568, 10514, 12023, 609, 4798, 602, 5581, 1402, 2528, 281, 3356, 267, 1570, 2744, 267, 1367, 5191, 543, 5763, 269, 1215, 2528, 7506, 3332, 1557, 3732, 2528, 568, 513, 2165, 602, 666, 581, 4330, 538, 1896, 2189, 2081, 4589, 267, 971, 607, 536, 11484, 18153, 334, 267, 4330, 2528, 998, 1010, 12591, 543, 1259, 540, 3332, 269, 9608, 3961, 543, 2528, 2528, 910, 519, 1259, 513, 1895, 540, 1004, 2661, 2528, 2882, 519, 1259, 1004, 10571, 267, 1118, 24181, 267, 3548, 267, 5968, 267, 1265, 31070, 267, 960, 267, 1451, 267, 616, 7038, 539, 267, 543, 1265, 5126, 538, 519, 2486, 3961, 910, 519, 7907, 602, 1118, 835, 1268, 610, 3364, 1114, 689, 269, 25792, 2528, 3584, 585, 1603, 3594, 543, 4574, 2093, 585, 2528, 1557, 1299, 1957, 3584, 4234, 3626, 7506, 12102, 6575, 538, 7819, 2528, 563, 10403, 1557, 281, 4529, 7506, 593, 1148, 609, 2242, 538, 2528, 267, 2097, 2242, 538, 1148, 2429, 1686, 267, 26620, 723, 1044, 3812, 607, 606, 32649, 540, 519, 269, 12989, 568, 606, 1557, 593, 2686, 7506, 689, 4550, 3594, 267, 707, 2707, 585, 1382, 4574, 267, 3594, 267, 543, 2165, 1957, 1806, 2686, 7506, 513, 1268, 781, 2528, 666, 581, 3989, 607, 3388, 602, 2306, 909, 606, 2043, 3003, 1259, 540, 1272, 269, 589, 2689, 1957, 593, 10721, 2528, 543, 10721, 2773, 7150, 602, 513, 2754, 781, 2528, 7506, 3388, 971, 513, 2754, 1281, 621, 568, 519, 4295, 540, 269, 8836, 3310, 1957, 5528, 281, 2328, 513, 476, 16020, 547, 476, 1911, 271, 2262, 1557, 3823, 519, 2686, 3310, 540, 2528, 593, 6219, 6057, 1851, 10708, 581, 2386, 547, 1331, 513, 2140, 2985, 267, 4367, 267, 3932, 267, 538, 17856, 14327, 543, 513, 4704, 3296, 563, 13625, 593, 513, 1268, 540, 3310, 32414, 476, 274, 6113, 267, 476, 1001, 273, 538, 606, 4674, 585, 12621, 547, 1732, 1174, 596, 607, 513, 1268, 3564, 9344, 543, 1449, 8464, 267, 789, 949, 16436, 1053, 547, 2328, 827, 1271, 7506, 538, 741, 2729, 269, 7377, 2528, 1557, 1806, 476, 4029, 2698, 2164, 606, 2079, 540, 519, 3310, 540, 1402, 2528, 543, 875, 621, 568, 6766, 676, 2527, 2923, 476, 8660, 274, 1913, 476, 273, 3817, 269, 12726, 1382, 1957, 593, 7209, 2528, 5943, 1152, 547, 519, 2686, 3310, 4330, 543, 2445, 13659, 616, 2686, 7592, 602, 4766, 519, 269, 0, 29557, 1153, 2239, 1557, 12987, 476, 272, 5172, 3965, 1603, 5401, 1589, 540, 707, 5172, 3965, 621, 1522, 581, 689, 513, 1920, 2680, 267, 513, 16314, 267, 513, 7544, 267, 513, 1362, 267, 513, 7328, 610, 1945, 596, 1705, 676, 3054, 269, 9752, 1603, 538, 1647, 1153, 910, 519, 476, 275, 268, 272, 268, 272, 910, 8653, 281, 476, 1839, 281, 6321, 1660, 902, 689, 519, 1647, 1153, 476, 6924, 267, 5325, 277, 5784, 875, 547, 2328, 513, 2239, 1557, 910, 8653, 281, 476, 1556, 281, 2412, 2144, 545, 5212, 9298, 731, 476, 3393, 267, 275, 4792, 5784, 269, 11150, 585, 1603, 513, 1650, 4098, 9625, 1863, 3992, 2238, 585, 3450, 1053, 547, 2328, 513, 13622, 585, 741, 6386, 2239, 1557, 1164, 1153, 2093, 269, 5664, 630, 324, 1203, 7406, 676, 7406, 264, 1439, 630, 935, 2424, 609, 8086, 264, 16878, 1883, 547, 513, 1390, 1557, 2123, 2239, 281, 1118, 2386, 596, 616, 1603, 547, 519, 2016, 5401, 269, 21931, 1557, 32029, 1647, 1153, 2239, 1603, 32029, 910, 1433, 4559, 4116, 1297, 476, 272, 519, 3141, 729, 3636, 593, 1250, 1394, 607, 1775, 986, 1027, 4724, 519, 7996, 563, 29973, 2055, 281, 814, 606, 2680, 689, 707, 1272, 1500, 513, 9434, 12705, 593, 596, 875, 666, 596, 21176, 1450, 2576, 547, 1995, 707, 1995, 4305, 281, 1711, 513, 2123, 2239, 1557, 2519, 593, 606, 2680, 269, 5664, 1153, 2263, 936, 476, 275, 267, 1911, 3381, 6030, 1034, 1419, 267, 2239, 3594, 616, 5143, 538, 26567, 1931, 649, 4312, 782, 15336, 883, 513, 6643, 693, 513, 1448, 1141, 1919, 4769, 1405, 2731, 1118, 269, 5623, 609, 1053, 602, 513, 2239, 1557, 568, 10213, 513, 1650, 543, 6338, 2123, 2239, 607, 513, 1647, 267, 543, 1439, 1053, 476, 276, 3446, 2239, 1603, 269, 1280, 13186, 476, 272, 2985, 476, 6812, 277, 1603, 281, 2123, 2239, 10763, 18176, 19875, 6060, 1448, 476, 273, 4098, 568, 20585, 855, 4143, 547, 2239, 4367 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5732, 14323, 5574, 563, 15152, 3339, 6381, 267, 1928, 568, 707, 1560, 779, 9963, 1062, 269, 5994, 1018, 1522, 4755, 952, 596, 4769, 1406, 1995, 1928, 267, 543, 513, 2759, 593, 519, 5377, 540, 707, 3723, 4682, 4625, 29462, 267, 607, 513, 1267, 269, 4634, 1175, 513, 1507, 12183, 666, 1831, 519, 4358, 1448, 585, 606, 3968, 602, 1223, 5555, 2154, 993, 1584, 566, 269, 901, 568, 1259, 1447, 540, 606, 608, 12000, 3130, 982, 621, 1522, 3280, 899, 282, 1928, 5713, 513, 6720, 16484, 1271, 3483, 563, 23777, 1227, 267, 1928, 2501, 538, 835, 540, 1614, 3982, 8677, 269, 4469, 822, 832, 267, 952, 596, 786, 2336, 301, 665, 823, 696, 633, 10266, 568, 2901, 3361, 676, 8143, 267, 7344, 267, 610, 3114, 1797, 269, 901, 568, 519, 1034, 4122, 7721, 704, 27624, 2186, 540, 1928, 267, 3622, 5433, 950, 519, 14242, 4991, 1932, 7920, 547, 6023, 563, 32507, 12949, 545, 10266, 2501, 689, 3441, 610, 2068, 18363, 519, 4890, 13285, 538, 707, 1560, 267, 4929, 873, 547, 3765, 13933, 538, 11213, 2081, 563, 20329, 8328, 1928, 568, 3335, 3361, 630, 528, 1500, 8338, 264, 676, 2790, 543, 8965, 2152, 2443, 1919, 899, 4965, 543, 4160, 267, 799, 666, 2014, 7181, 31191, 267, 14331, 267, 1394, 1928, 267, 543, 865, 8521, 563, 32247, 1928, 267, 1287, 267, 568, 1034, 1419, 3989, 607, 1928, 602, 16569, 585, 811, 982, 476, 1321, 4374, 269, 634, 10782, 851, 568, 602, 5312, 1928, 666, 2965, 2063, 1134, 3564, 519, 6228, 540, 8726, 1522, 723, 1044, 4929, 621, 538, 519, 1101, 1747, 267, 16304, 1472, 544, 5417, 2287, 569, 267, 1256, 1498, 972, 3884, 1406, 4376, 649, 666, 1294, 607, 1373, 922, 3597, 2014, 563, 30131, 547, 3314, 1934, 568, 602, 5312, 1928, 3884, 1406, 2965, 621, 779, 1378, 2783, 269, 13298, 267, 621, 779, 1018, 649, 8910, 4766, 607, 513, 10835, 540, 1776, 267, 3677, 1966, 2507, 6518, 2731, 1797, 602, 519, 2014, 540, 5312, 1928, 666, 581, 1022, 1297, 540, 1114, 1919, 269, 1879, 621, 2501, 547, 519, 8912, 31268, 267, 1498, 267, 972, 616, 513, 1906, 1919, 602, 2014, 5312, 1928, 811, 4749, 982, 1866, 563, 308, 2955, 2406, 2614, 267, 538, 930, 8320, 267, 519, 4693, 540, 7231, 609, 5312, 1928, 666, 4125, 1259, 811, 982, 1175, 519, 1928, 3294, 269, 2755, 621, 779, 835, 3364, 547, 723, 606, 5945, 610, 513, 1072, 1966, 602, 2501, 609, 513, 5693, 20452, 4155, 547, 8323, 543, 6051, 267, 1082, 2665, 540, 5312, 1928, 4734, 2550, 11842, 952, 789, 2461, 2479, 2469, 547, 2661, 513, 3339, 267, 1928, 6954, 1272, 2479, 1586, 563, 763, 3586, 4527, 540, 1928, 666, 267, 5667, 584, 29418, 267, 1376, 547, 723, 922, 1378, 2790, 543, 3929, 5222, 630, 21865, 1500, 8338, 676, 519, 4527, 610, 32739, 547, 2790, 1072, 2152, 267, 971, 607, 4965, 1040, 898, 779, 6059, 602, 827, 476, 1839, 260, 2043, 945, 4308, 609, 5312, 1928, 849, 4308, 609, 18127, 10266, 15540, 267, 799, 568, 6353, 607, 519, 4527, 540, 4160, 543, 4965, 4611, 689, 519, 18094, 540, 5312, 1928, 563, 2691, 621, 2501, 547, 2126, 585, 5312, 1928, 267, 519, 1655, 1576, 540, 2962, 568, 2731, 8452, 693, 593, 513, 2013, 8386, 30924, 4493, 269, 9717, 602, 5312, 1928, 568, 811, 513, 10835, 982, 922, 1378, 2783, 267, 2126, 1419, 12346, 593, 12394, 547, 8207, 8726, 814, 1044, 4929, 519, 5312, 1928, 538, 519, 1101, 1747, 563, 7712, 519, 2790, 5057, 568, 971, 513, 2462, 3815, 950, 621, 2501, 547, 5312, 1928, 267, 1082, 2126, 4566, 1419, 4125, 1919, 899, 22591, 267, 9066, 267, 543, 824, 2238, 602, 3895, 513, 811, 17159, 1259, 540, 1272, 269, 6884, 6646, 1522, 581, 1031, 267, 971, 607, 575, 629, 777, 550, 514, 267, 547, 14927, 523, 519, 6786, 938, 13285, 938, 11488, 269, 769, 824, 8320, 267, 6391, 1522, 2965, 581, 519, 3070, 563, 1103, 519, 9000, 540, 513, 835, 20695, 1922, 1080, 22433, 2626, 547, 5312, 1928, 267, 14055, 814, 7153, 607, 513, 1360, 9621, 11134, 538, 519, 6370, 1996, 513, 1272, 1500, 3765, 30514, 676, 519, 796, 2056, 4527, 540, 1928, 269, 2755, 621, 779, 15069, 711, 513, 10826, 676, 1022, 1797, 267, 2789, 2090, 723, 3254, 12800, 27546, 547, 581, 513, 14323, 543, 2500, 1110, 1275, 540, 2126, 1996, 1978, 2010, 540, 5571, 1928, 563, 8253, 1152, 814, 14055, 1044, 3254, 547, 2333, 519, 2179, 540, 513, 7623, 1572, 606, 663, 29524, 538, 519, 1973, 267, 799, 2337, 547, 10038, 519, 2179, 540, 1928, 513, 1268, 7959, 267, 855, 621, 814, 849, 1044, 3254, 547, 979, 513, 1279, 1259, 2509, 19086, 6553, 543, 3622, 16715, 1928, 1129, 13294, 2429, 519, 1560, 269, 29247, 15663, 568, 602, 519, 1382, 1472, 14055, 543, 1928, 2359, 568, 6157, 538, 922, 4505, 5933, 269, 10960, 4152, 814, 3254, 513, 2603, 540, 9153, 267, 855, 811, 1480, 8062, 616, 11613, 2877, 563, 2026, 971, 267, 621, 779, 1271, 547, 3635, 13657, 950, 1210, 14055, 547, 948, 609, 1945, 899, 5312, 1928, 269, 28423, 609, 707, 4387, 1101, 267, 543, 1118, 2386, 602, 621, 4465, 1406, 2170, 609, 1022, 824, 6527, 596, 1522, 581, 2921, 269, 2060, 519, 18262, 543, 6765, 1062, 602, 779, 1318, 585, 596, 267, 14055, 666, 5732, 581, 513, 14323, 1007, 1259, 547, 811, 3927, 4308, 609, 513, 1966, 899, 5312, 1928, 563, 11514, 25068, 281, 6176, 1336, 538, 713, 2376, 610, 593, 28994, 3814, 2593, 12582, 1406, 581, 3144, 607, 1022, 2564, 610, 3621, 6644, 267, 5796, 610, 16252, 269, 7490, 798, 707, 1378, 1382, 543, 5077, 609, 707, 4387, 1354, 10962, 12800, 27546, 547, 707, 1560, 269, 0, 2791, 1590, 581, 9896, 538, 547, 1224, 519, 1964, 540, 713, 2376, 563, 8802, 626, 1674, 593, 7131, 11246, 5454, 568, 1863, 269, 6178, 909, 2221, 2336, 2690, 326, 582, 707, 10957, 286, 8437, 3371, 2336, 9743, 6627, 10168, 267, 513, 1106, 540, 10168, 11251, 998, 4031, 543, 6042, 1369, 2486, 282, 6519, 17979, 267, 519, 6848, 17979, 4324, 1154, 3043, 1004, 936, 1875, 22554, 1004, 538, 930, 7239, 282, 543, 17499, 610, 6857, 12886, 723, 1831, 5051, 1271, 3584, 538, 519, 2136, 2276, 630, 4785, 1040, 634, 2360, 540, 891, 2010, 540, 21437, 3565, 547, 7292, 8635, 543, 666, 581, 2938, 538, 1082, 1114, 9922, 1519, 7694, 543, 1072, 1416, 269, 273, 769, 1840, 267, 519, 2475, 2551, 568, 7680, 513, 15295, 6521, 2509, 2799, 4763, 269, 17497, 267, 519, 2475, 17227, 13163, 9193, 602, 540, 476, 29044, 2929, 1977, 11317, 267, 5111, 476, 1724, 260, 616, 3979, 1977, 267, 476, 277, 260, 7489, 267, 476, 271, 269, 273, 260, 7111, 22963, 610, 4033, 910, 7414, 29474, 267, 476, 274, 260, 1079, 610, 811, 14797, 267, 543, 476, 866, 260, 21337, 610, 17104, 269, 274, 2755, 519, 2551, 4129, 5809, 267, 476, 5038, 260, 540, 1072, 1416, 7426, 616, 2392, 7631, 2299, 6519, 269, 275, 5047, 267, 1382, 5267, 267, 538, 519, 2104, 267, 27877, 270, 18345, 4205, 786, 581, 538, 3444, 7292, 11305, 8590, 10085, 6758, 269, 276, 1452, 15295, 10593, 5031, 513, 991, 585, 519, 6765, 540, 17801, 1227, 543, 15520, 19579, 1072, 1416, 267, 1519, 5711, 1072, 1416, 267, 547, 2743, 519, 2115, 540, 513, 4129, 4328, 2551, 563, 763, 4659, 540, 6925, 630, 296, 6865, 264, 8313, 267, 772, 928, 23974, 9615, 281, 4762, 1258, 1154, 30101, 543, 23532, 2598, 1706, 885, 538, 2657, 5516, 267, 514, 4034, 580, 730, 1072, 1416, 13103, 543, 519, 1909, 540, 9186, 543, 8305, 19685, 693, 519, 3461, 267, 12250, 267, 543, 1072, 1416, 1062, 1377, 269, 277, 769, 713, 1867, 267, 519, 594, 6865, 1336, 12102, 2516, 941, 1447, 2693, 547, 4309, 13487, 6527, 610, 581, 2016, 1697, 2126, 1739, 513, 13487, 2680, 267, 278, 1447, 2693, 547, 4309, 4152, 267, 9584, 267, 610, 1928, 6646, 585, 2860, 267, 277, 267, 279, 1447, 2693, 547, 4309, 8459, 31533, 610, 13003, 267, 280, 543, 1447, 2693, 547, 4309, 27179, 7486, 5061, 267, 1015, 1851, 824, 1416, 2152, 269, 634, 1867, 849, 4857, 3604, 538, 6765, 540, 1416, 547, 12102, 5095, 693, 513, 19018, 622, 2557, 269, 277, 901, 814, 1044, 513, 3140, 7678, 267, 609, 3979, 1977, 5095, 8391, 2539, 2298, 540, 1416, 3379, 547, 6519, 13413, 269, 277, 267, 278, 267, 1015, 268, 1428, 3194, 814, 849, 1336, 602, 930, 540, 891, 13103, 8831, 3564, 2126, 543, 1416, 3664, 971, 607, 12102, 2516, 8391, 1114, 2792, 689, 1072, 1416, 7426, 269, 1556, 267, 1724, 2657, 1416, 7426, 949, 6108, 1447, 942, 1282, 20499, 609, 12102, 2550, 267, 1102, 18526, 2307, 3461, 8369, 827, 2126, 3664, 267, 543, 946, 513, 811, 11913, 8789, 3159, 267, 782, 7700, 547, 12102, 2550, 4466, 741, 1416, 547, 581, 1447, 3461, 19721, 269, 1556, 267, 1724, 11086, 267, 519, 4681, 540, 713, 1867, 1489, 602, 17697, 9186, 543, 7130, 941, 7700, 2188, 7133, 1072, 1416, 7426, 543, 741, 3461, 1416, 3664, 269, 277, 454, 3412, 14032, 12886, 949, 8915, 538, 1875, 31646, 5615, 971, 607, 3750, 3346, 543, 14302, 610, 16133, 267, 543, 1419, 2099, 513, 4744, 27937, 1063, 1018, 513, 1268, 21286, 569, 11099, 543, 1018, 568, 7184, 5498, 730, 538, 741, 4555, 270, 13905, 269, 1626, 267, 1704, 1955, 14032, 12886, 616, 1114, 982, 16765, 610, 8763, 10168, 267, 789, 616, 1419, 606, 13128, 267, 17499, 267, 7164, 2942, 2219, 610, 10182, 4724, 513, 12102, 1895, 543, 666, 25340, 1860, 4791, 3375, 6194, 269, 1240, 267, 866, 634, 4527, 540, 891, 12886, 1851, 1072, 1416, 7426, 543, 519, 2360, 593, 2298, 540, 1416, 616, 7282, 267, 607, 513, 3714, 6509, 949, 711, 5431, 891, 7184, 6079, 539, 4555, 610, 3527, 543, 875, 789, 1860, 741, 2702, 547, 5838, 31717, 1416, 269, 3958, 267, 891, 12886, 949, 7500, 693, 513, 19319, 547, 606, 2907, 7925, 3461, 2551, 269, 1240, 1955, 14032, 12886, 723, 1044, 21503, 14916, 538, 1072, 1416, 282, 2705, 267, 972, 568, 513, 3668, 540, 3332, 538, 519, 5959, 3924, 269, 1280, 1383, 267, 835, 1353, 8947, 7915, 12886, 1644, 547, 5198, 543, 519, 2360, 593, 24782, 262, 3664, 547, 11177, 4522, 269, 736, 19239, 1235, 941, 2016, 513, 4791, 9183, 2059, 609, 11147, 540, 513, 4563, 543, 6519, 3461, 543, 513, 9178, 539, 5694, 269, 4437, 1162, 941, 6027, 1498, 606, 8763, 18102, 1644, 547, 875, 789, 1131, 1521, 519, 3461, 607, 1134, 607, 1955, 14032, 4889, 725, 18873, 630, 296, 2969, 264, 547, 2268, 7915, 12886, 269, 634, 1353, 1336, 602, 2949, 267, 24782, 941, 3648, 811, 2693, 547, 4363, 3597, 12324, 3797, 630, 305, 6311, 264, 547, 6519, 2550, 543, 3648, 811, 2693, 547, 4363, 10868, 585, 4563, 2550, 3079, 540, 513, 11808, 269, 736, 3958, 267, 476, 11011, 260, 540, 5171, 20639, 1164, 593, 519, 5198, 13283, 594, 2969, 1449, 543, 476, 8064, 260, 20639, 1164, 593, 519, 5198, 5959, 18756, 594, 2969, 1449, 11744, 605, 268, 19669, 12886, 585, 1312, 594, 2969, 4255, 267, 543, 10834, 602, 7292, 12886, 1522, 3310, 519, 2298, 540, 5959, 1416, 4607, 676, 4563, 2550, 269, 736, 454, 288, 1826, 540, 4207, 17697, 9186, 267, 2681, 15918, 785, 7292, 8456, 267, 949, 2491, 1699, 1382, 4681, 1644, 547, 18312, 1416, 543, 17697, 12886, 269, 7822, 15918, 785, 7292, 16809, 666, 581, 4330, 607, 513, 1305, 540, 4978, 1031, 547, 1118, 2631, 540, 1514, 6688, 5473, 5198, 602, 11363, 7663, 8864, 543, 1281, 711, 708, 12393, 2043, 945, 616, 6519, 538, 10168, 269, 272, 267, 2641, 267, 2420, 5047, 267, 513, 2681, 15918, 785, 16809, 6212, 593, 519, 3661, 602, 10168, 568, 513, 1523, 540, 519, 2250, 543, 782, 7606, 723, 3160, 3255, 538, 4207, 2486, 269, 272, 267, 2641, 8409, 945, 24049, 547, 713, 16809, 3180, 519, 3661, 602, 519, 2681, 540, 513, 1268, 781, 2960, 568, 711, 2938, 267, 3025, 568, 3160, 267, 543, 2417, 1727, 4680, 519, 2070, 602, 10168, 568, 606, 5571, 6848, 1966, 269, 2641, 901, 1361, 11043, 5133, 568, 2417, 6045, 607, 835, 602, 17648, 1362, 543, 2528, 267, 711, 12250, 10168, 267, 616, 3743, 585, 1514, 31716, 269, 2537, 3194, 5267, 950, 11117, 267, 1072, 1416, 7426, 609, 2362, 2681, 15918, 785, 7292, 16809, 8464, 949, 4497, 538, 7292, 569, 1202, 17567, 2623, 543, 8858, 606, 2333, 538, 2942, 4664, 543, 513, 3668, 540, 17801, 32241, 6568, 269, 2641, 267, 2190, 268, 2767, 3958, 267, 1382, 5267, 2043, 20401, 532, 547, 2681, 15918, 785, 6208, 949, 1397, 2362, 2157, 540, 12886, 593, 17697, 543, 8763, 3800 ]

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

[ 4959, 585, 707, 1344, 543, 2123, 946, 543, 949, 711, 581, 4421, 1315, 13931, 1315, 3838, 593, 824, 7270, 1510, 3478, 9844, 689, 922, 2278, 269, 4407, 23842, 267, 952, 585, 930, 2601, 596, 616, 711, 2111, 547, 4647, 513, 6881, 267, 519, 17404, 949, 723, 25216, 519, 3758, 689, 741, 7746, 780, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 303, 19948, 3690, 5296, 692, 8196, 707, 1770, 5858, 547, 1265, 519, 2009, 2418, 540, 19569, 365, 692, 16605, 519, 1770, 5858, 13561, 585, 4704, 1282, 2221, 779, 4967, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 2162, 476, 275, 269, 278, 769, 2091, 17832, 12793, 692, 11917, 16633, 1384, 26368, 519, 6389, 543, 2039, 540, 519, 11201, 25066, 3252, 692, 8196, 11201, 4645, 3252, 547, 1265, 7285, 692, 24066, 10663, 10659, 540, 4645, 3252, 692, 1892, 2422, 707, 9498, 547, 6218, 519, 1614, 2042, 689, 11350, 1740, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1103, 2091, 590, 710, 9577, 281, 20211, 7562, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4855, 519, 3169, 1871, 780, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4855, 519, 3169, 1871, 630, 15290, 2009, 2020, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 343, 692, 7078, 692, 1892, 4855, 519, 3169, 1871, 540, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 343, 692, 7078, 692, 1892, 4855, 519, 3169, 1871, 540, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 692, 1892, 4147, 1740, 630, 2791, 8347, 2020, 1892, 22443, 7084, 595, 310, 476, 275, 269, 278, 692, 1892, 623, 326, 269, 476, 31620, 281, 1948, 276, 268, 1428, 9642, 267, 476, 866, 268, 2537, 9642, 267, 476, 2767, 268, 7871, 9642, 267, 476, 10170, 692, 1892, 14581, 692, 1892, 22443, 7084, 670, 310, 476, 275, 269, 278, 692, 1892, 623, 326, 269, 476, 31620, 281, 1948, 2190, 267, 476, 2918, 267, 3953, 267, 476, 4366, 267, 476, 6321, 630, 21459, 2328, 5346, 1070, 476, 7761, 267, 476, 3199, 268, 10695, 782, 692, 275, 269, 278, 769, 2091, 26344, 6248, 12793, 0, 1012, 14419, 31887, 540, 19218, 267, 15379, 7177, 692, 10112, 9892, 6435, 1384, 29991, 7167, 659, 13330, 540, 19218, 1384, 288, 476, 736, 3852, 358, 19919, 568, 4448, 538, 3126, 609, 513, 16509, 267, 513, 19218, 543, 606, 993, 31461, 2066, 513, 476, 1839, 966, 4756, 4908, 3761, 269, 2755, 519, 4908, 568, 476, 6110, 21636, 267, 519, 1699, 568, 693, 922, 5021, 1871, 540, 476, 271, 269, 276, 589, 543, 1761, 3017, 2066, 519, 19218, 568, 476, 5611, 966, 269, 14419, 1384, 272, 269, 7167, 659, 13330, 540, 19218, 267, 543, 692, 273, 269, 18650, 543, 32366, 766, 540, 16509, 780, 8201, 692, 11405, 692, 5416, 264, 2913, 31887, 815, 595, 2484, 611, 692, 4910, 517, 656, 4908, 267, 535, 271, 815, 476, 6110, 21636, 692, 22479, 659, 1438, 2746, 766, 267, 2473, 595, 815, 272, 1315, 28911, 290, 815, 1741, 476, 272, 1315, 630, 273, 11027, 6398, 476, 6110, 6398, 595, 264, 815, 630, 272, 270, 8517, 11027, 6398, 595, 264, 3852, 358, 692, 14157, 5653, 2066, 4390, 815, 1955, 2473, 290, 815, 476, 5611, 966, 692, 3412, 815, 476, 271, 269, 276, 589, 692, 30043, 7673, 1109, 476, 271, 269, 276, 1315, 476, 8517, 11027, 595, 815, 476, 5611, 692, 290, 815, 1741, 476, 271, 269, 276, 1315, 630, 8517, 6398, 11027, 6398, 476, 5611, 2020, 284, 476, 272, 269, 30444, 274, 6398, 476, 1015, 268, 476, 277, 674, 692, 528, 7673, 595, 815, 476, 272, 269, 30444, 274, 13179, 293, 692, 6357, 264, 3396, 1741, 2913, 267, 681, 299, 543, 700, 581, 519, 4187, 543, 32366, 766, 540, 16509, 6606, 692, 14483, 267, 594, 544, 3396, 1109, 815, 7673, 1109, 966, 270, 630, 305, 1341, 681, 299, 2020, 271, 269, 276, 815, 476, 1839, 1315, 476, 736, 1341, 681, 299, 630, 286, 7343, 29736, 6453, 966, 815, 476, 1839, 966, 2020, 12435, 815, 476, 1789, 3852, 358, 692, 2971, 3690, 626, 528, 1979, 2084, 267, 7182, 540, 21689, 547, 3490, 1979, 2084, 692, 3916, 1080, 540, 21689, 547, 3490, 1979, 2084, 692, 2971, 1548, 568, 5921, 676, 14443, 267, 1548, 568, 5921, 676, 14443, 286, 3955, 4533, 568, 606, 13718, 1432, 568, 5921, 676, 14443, 286, 3955, 4533, 568, 606, 5007, 5365, 602, 3123, 513, 31110, 19485, 547, 7914, 547, 513, 1880, 1016, 709, 339, 710, 780, 2971, 1548, 568, 1802, 2758, 267, 1548, 568, 1473, 340, 2758, 1473, 340, 2758, 267, 849, 1634, 607, 513, 1781, 651, 267, 568, 27250, 1432, 568, 1473, 340, 2758, 1473, 340, 2758, 267, 849, 1634, 607, 513, 1781, 651, 267, 568, 1776, 12809, 1826, 5122, 5057, 2966, 547, 1491, 4324, 540, 713, 2078, 676, 8108, 513, 1454, 6793, 6419, 692, 2971, 1548, 798, 596, 1611, 676, 5123, 5311, 267, 1627, 269, 1548, 798, 596, 1611, 676, 18001, 25627, 286, 27250, 304, 269, 1548, 798, 596, 1611, 676, 18001, 25627, 286, 898, 568, 3044, 2259, 538, 519, 2136, 2276, 547, 1374, 622, 519, 5123, 589, 5174, 4211, 971, 602, 896, 7059, 2175, 519, 6453, 543, 1699, 538, 692, 2971, 5843, 19055, 518, 7679, 5217, 267, 634, 3094, 577, 3096, 513, 476, 25870, 5292, 339, 476, 2004, 21636, 8028, 5179, 267, 865, 536, 13718, 763, 3094, 577, 3096, 513, 476, 25870, 5292, 339, 476, 2004, 21636, 8028, 5179, 267, 865, 1312, 519, 909, 270, 6658, 543, 2196, 270, 17380, 8060, 2965, 7500, 1341, 2190, 309, 882, 904, 267, 4171, 17066, 6467, 519, 476, 25870, 309, 659, 547, 519, 3094, 577, 269, 634, 882, 904, 849, 605, 692, 2971, 7913, 19554, 744, 12965, 24005, 2073, 2491, 519, 7913, 19554, 744, 12965, 8113, 641, 692, 1410, 21622, 519, 7913, 19554, 744, 12965, 24005, 692, 2971, 667, 322, 3684, 267, 851, 540, 546, 322, 3684, 692, 4820, 540, 546, 322, 3684, 692, 2971, 1548, 6106, 616, 4988, 896, 1439, 547, 1439, 4494, 14479, 267, 1627, 269, 1548, 6106, 13718, 304, 269, 1548, 6106, 616, 4988, 896, 1439, 547, 1439, 4494, 14479, 286, 700, 16558, 476, 275, 268, 278, 540, 18869, 268, 5308, 296, 4704, 2203, 5968, 609, 9263, 9988, 538, 1439, 1949, 269, 769, 13591, 1949, 267, 628, 692, 2971, 8000, 11230, 6248, 1826, 546, 341, 332, 267, 8000, 11230, 6248, 1826, 667, 30470, 281, 589, 1494, 11230, 6248, 1826, 540, 13718, 22025, 11230, 6248, 1826, 667, 30470, 281, 589, 1494, 11230, 6248, 1826, 540, 667, 30470, 267, 18271, 6453, 6476, 4480, 269, 769, 713, 667, 30470, 519, 7164, 30579, 568, 3379, 609, 513, 4704, 6453, 1871, 568, 6378, 676, 692, 2971, 11512, 519, 543, 19235, 910, 31110, 19485, 267, 11512, 519, 6730, 717, 2969, 2464, 910, 12130, 1886, 549, 806, 13718, 23737, 519, 6730, 717, 2969, 2464, 910, 12130, 1886, 549, 19485, 286, 634, 6730, 717, 12442, 814, 513, 7954, 476, 272, 610, 1164, 3977, 952, 519, 3003, 11378, 616, 1164, 269, 634, 1630, 18978, 543, 3090, 4082, 585, 513, 476, 274, 2987, 1584, 6730, 10766, 568, 15524, 692, 2162, 3503, 2659, 24606, 2439, 2971, 2667, 3293, 589, 10030, 6103, 692, 7476, 16798, 9547, 1299, 942, 593, 6765, 538, 1169, 7084, 1931, 596, 6976, 609, 721, 256, 1284, 2327, 14167, 2298, 3070, 3561, 2059, 609, 1863, 2881, 660, 514, 1867, 2439, 5472, 2924, 11603, 256, 25767, 23412, 9736, 1001, 280, 268, 1708, 271, 20226, 21790, 8668, 12409, 623, 26404, 13456, 0, 258, 9351, 910, 18738, 256, 281, 8293, 4100, 267, 25351, 9201, 267, 543, 10222, 9201, 692, 6944, 1026, 12460, 281, 645, 686, 3570, 623, 4532, 615, 686, 269, 7689, 9517, 281, 476, 13647, 6349, 692, 25898, 596, 899, 519, 834, 1231, 728, 257, 1085, 17274, 593, 606, 1271, 834, 19327, 257, 540, 9511, 286, 589, 3381, 543, 2228, 2259, 786, 1397, 596, 875, 547, 1265, 875, 1082, 10945, 3514, 3330, 513, 6906, 543, 1018, 513, 6263, 13735, 834, 273, 257, 1797, 2439, 322, 20975, 692, 1012, 1773, 2033, 16387, 630, 273, 291, 2020, 11357, 915, 454, 13043, 454, 14048, 2511, 454, 24058, 454, 17367, 1275, 2511, 454, 299, 542, 267, 17305, 614, 454, 29557, 3427, 630, 277, 268, 279, 994, 8893, 7392, 454, 30022, 2372, 2044, 692, 1012, 7689, 4643, 910, 5192, 898, 2439, 29423, 1470, 1384, 288, 2863, 22123, 1175, 1572, 543, 1767, 1352, 2115, 1007, 24095, 693, 1200, 2777, 780, 1892, 2052, 596, 948, 1200, 4137, 856, 1175, 875, 1454, 32466, 547, 1931, 2496, 2171, 1810, 1405, 1616, 1200, 547, 979, 936, 543, 723, 547, 2628, 1932, 1454, 267, 610, 979, 896, 543, 711, 723, 2614, 256, 2991, 713, 3992, 267, 596, 1058, 581, 2111, 547, 2285, 1200, 606, 3169, 2626, 2439, 3086, 267, 6148, 596, 723, 606, 589, 2863, 22123, 543, 6148, 596, 1810, 1405, 269, 17859, 267, 972, 786, 2097, 513, 942, 950, 596, 723, 547, 5173, 875, 1454, 2230, 568, 3330, 540, 1945, 780, 2690, 1383, 267, 596, 786, 693, 930, 1448, 991, 547, 1265, 2901, 1858, 585, 476, 273, 291, 630, 29788, 264, 5546, 267, 610, 4320, 585, 476, 274, 291, 5546, 269, 901, 3992, 786, 1445, 593, 519, 1523, 540, 4466, 1858, 780, 22704, 568, 519, 2450, 540, 2627, 2443, 596, 666, 1589, 540, 1858, 607, 519, 6482, 5442, 306, 22432, 540, 513, 3337, 780, 303, 1021, 547, 2015, 15943, 543, 1858, 269, 1452, 1079, 1419, 1205, 11821, 267, 865, 1577, 781, 2689, 519, 3017, 1063, 519, 1079, 6482, 2474, 1354, 649, 1205, 3323, 780, 1892, 1684, 596, 917, 1018, 519, 3017, 568, 1063, 15943, 543, 1858, 2496, 2252, 596, 991, 547, 2689, 713, 3126, 262, 1101, 3992, 593, 15943, 267, 1265, 621, 896, 13565, 16497, 538, 519, 1318, 11804, 2427, 8663, 780, 2252, 596, 1767, 15943, 568, 519, 3845, 1472, 519, 744, 308, 4811, 22432, 540, 513, 3337, 267, 543, 1858, 568, 519, 6482, 5442, 306, 22432, 540, 519, 3337, 267, 1287, 596, 616, 2953, 2439, 13914, 540, 15943, 607, 513, 20545, 589, 4629, 26685, 513, 3959, 267, 543, 519, 1858, 568, 519, 3003, 13452, 5442, 306, 22432, 540, 602, 20545, 269, 6875, 513, 8792, 543, 4605, 602, 538, 707, 2247, 269, 16593, 2685, 267, 621, 786, 948, 596, 1832, 1858, 543, 15943, 2786, 780, 3383, 267, 1577, 781, 7914, 1318, 936, 519, 15943, 20545, 543, 883, 519, 1858, 540, 519, 13452, 1631, 269, 0, 1012, 18248, 692, 2162, 634, 2372, 652, 585, 476, 10384, 281, 28315, 17918, 7420, 630, 12585, 2020, 312, 16518, 267, 1109, 10048, 21908, 17918, 11540, 513, 17918, 2243, 593, 938, 5816, 269, 4653, 267, 789, 723, 4553, 909, 609, 519, 2626, 1384, 2026, 568, 519, 2013, 609, 1034, 5311, 2042, 267, 707, 1101, 1900, 568, 547, 12337, 519, 1101, 1896, 2474, 269, 634, 4542, 5654, 30299, 267, 855, 952, 596, 960, 689, 519, 3330, 856, 267, 18245, 1931, 540, 4238, 267, 596, 3580, 581, 538, 1434, 3337, 269, 1684, 519, 9273, 5402, 543, 5693, 267, 711, 1152, 865, 602, 596, 1810, 1406, 1118, 513, 12161, 855, 849, 865, 602, 596, 666, 5544, 6932, 3270, 780, 288, 562, 815, 476, 1626, 1107, 630, 275, 1107, 562, 264, 476, 274, 270, 347, 333, 1107, 476, 275, 2008, 2252, 562, 815, 476, 272, 267, 1287, 589, 476, 272, 815, 476, 1626, 1107, 630, 275, 1107, 476, 272, 264, 476, 274, 270, 347, 272, 1107, 476, 275, 347, 815, 476, 1626, 1107, 630, 274, 264, 476, 274, 270, 347, 1700, 476, 274, 347, 815, 476, 1626, 1107, 476, 274, 476, 274, 270, 274, 815, 476, 1626, 1107, 476, 274, 476, 273, 815, 476, 1626, 1107, 476, 280, 815, 476, 278, 454, 2252, 562, 815, 476, 273, 267, 1287, 589, 476, 273, 815, 476, 1626, 1107, 630, 275, 1107, 476, 273, 264, 476, 274, 270, 347, 273, 1107, 476, 275, 347, 815, 476, 1626, 1107, 630, 273, 264, 274, 270, 347, 1700, 476, 273, 347, 815, 476, 1626, 1107, 476, 2537, 270, 273, 815, 476, 1626, 1107, 476, 2420, 815, 476, 1626, 1107, 476, 275, 815, 476, 1321, 454, 2252, 562, 815, 476, 274, 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 ]

[ 0, 13043, 476, 6321, 272, 670, 12096, 476, 1001, 272, 14581, 476, 272, 667, 4319, 28226, 476, 272, 269, 2913, 717, 581, 513, 1895, 269, 28171, 602, 519, 3961, 3693, 540, 717, 568, 2189, 630, 7474, 568, 267, 972, 568, 1152, 835, 3693, 540, 717, 17598, 519, 632, 16667, 940, 3959, 540, 606, 3961, 3693, 1040, 901, 1175, 328, 16667, 525, 938, 946, 540, 519, 2027, 3090, 968, 552, 9232, 269, 476, 273, 269, 2913, 717, 581, 513, 19509, 333, 924, 1895, 269, 630, 320, 264, 8058, 602, 972, 616, 606, 9642, 1297, 540, 1535, 17995, 717, 971, 602, 1535, 476, 274, 815, 552, 1547, 630, 321, 264, 8058, 602, 972, 616, 606, 1256, 1297, 540, 1535, 17995, 717, 971, 602, 1535, 476, 273, 476, 277, 815, 552, 1547, 630, 295, 842, 281, 1548, 568, 519, 11201, 540, 1535, 562, 7790, 264, 476, 274, 269, 2913, 717, 581, 513, 19509, 333, 924, 1895, 269, 1280, 782, 513, 14720, 17995, 717, 2073, 1397, 602, 705, 543, 22678, 723, 519, 1482, 1931, 607, 2609, 540, 717, 1547, 476, 275, 269, 2913, 717, 581, 513, 1895, 543, 19509, 343, 606, 3693, 575, 17995, 717, 1547, 1546, 16667, 928, 513, 1599, 26420, 575, 2433, 717, 9890, 717, 676, 26420, 575, 630, 554, 3738, 815, 575, 327, 326, 268, 272, 585, 782, 554, 17995, 717, 1547, 630, 320, 264, 28171, 602, 26420, 575, 568, 513, 1979, 20287, 630, 821, 3562, 14633, 543, 5196, 1040, 630, 321, 264, 28171, 602, 26420, 575, 630, 705, 3738, 815, 26420, 575, 630, 513, 3738, 26420, 575, 630, 536, 3738, 585, 782, 513, 14720, 17995, 717, 1547, 1452, 1079, 3601, 1611, 602, 26420, 575, 568, 606, 3678, 6973, 1143, 630, 320, 968, 1910, 7825, 4479, 14615, 540, 717, 1547, 476, 276, 563, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 454, 17739, 519, 1964, 540, 519, 3561, 563, 1607, 4063, 729, 23345, 593, 476, 4905, 270, 5400, 270, 1001, 273, 585, 519, 1576, 13878, 295, 476, 6321, 272, 6026, 676, 7905, 28226, 1282, 519, 11354, 1412, 1556, 2165, 693, 2160, 540, 24543, 269, 0, 1607, 12744, 2982, 2985, 476, 272, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 563, 4462, 8971, 1540, 1257, 12744, 281, 575, 26169, 15301, 1724, 2567, 579, 272, 263, 1990, 267, 512, 3738, 815, 661, 272, 263, 19084, 272, 264, 543, 26169, 15301, 1626, 264, 10778, 2171, 3489, 281, 630, 2420, 264, 6684, 267, 8380, 26169, 15301, 1691, 2187, 663, 26169, 15301, 1704, 264, 10778, 10190, 267, 630, 2537, 264, 20223, 519, 25317, 5223, 14668, 607, 281, 630, 2190, 264, 1287, 267, 26169, 15301, 2537, 2187, 548, 6758, 547, 281, 630, 1839, 264, 23889, 26169, 15301, 1839, 264, 3947, 2433, 630, 2918, 264, 17006, 26169, 15301, 2420, 2187, 263, 2764, 264, 15240, 23082, 26169, 15301, 2764, 264, 883, 26169, 15301, 2918, 2187, 31711, 519, 6771, 570, 543, 8086, 11664, 681, 607, 912, 9558, 3939, 11664, 2433, 630, 1789, 264, 14506, 11664, 5236, 376, 504, 630, 4029, 264, 4635, 570, 543, 681, 267, 519, 6771, 5951, 661, 272, 6025, 266, 345, 270, 309, 272, 264, 543, 454, 1492, 8086, 5951, 674, 273, 6025, 22271, 270, 309, 273, 264, 616, 2016, 676, 281, 630, 3953, 994, 16708, 272, 267, 309, 272, 476, 273, 661, 272, 6025, 266, 345, 270, 309, 272, 6661, 307, 263, 10382, 264, 661, 273, 6025, 266, 345, 270, 309, 273, 264, 476, 272, 269, 276, 570, 454, 8469, 1756, 476, 272, 1990, 661, 273, 6025, 266, 345, 270, 309, 273, 264, 23839, 476, 273, 570, 543, 681, 476, 272, 476, 271, 269, 276, 681, 454, 271, 674, 273, 6025, 22271, 270, 309, 273, 264, 815, 307, 263, 10382, 264, 661, 273, 6025, 266, 345, 270, 309, 273, 994, 268, 271, 269, 276, 6543, 479, 273, 267, 309, 273, 14668, 284, 16708, 272, 309, 272, 270, 16708, 273, 309, 273, 476, 271, 476, 272, 454, 10382, 14668, 476, 273, 630, 275, 264, 2549, 680, 2305, 540, 513, 2627, 14404, 636, 454, 517, 519, 4702, 5127, 13702, 454, 2171, 2015, 519, 15562, 5951, 18640, 538, 513, 2627, 454, 1598, 23628, 593, 519, 4702, 5127, 13702, 267, 950, 519, 15562, 5951, 454, 292, 302, 6025, 264, 13685, 269, 634, 3830, 540, 519, 5163, 568, 2016, 676, 26169, 15301, 277, 2567, 630, 277, 994, 514, 799, 28911, 18575, 9764, 4908, 263, 2784, 32220, 5913, 1916, 8698, 9509, 11657, 454, 1607, 4063, 729, 23345, 593, 476, 6734, 270, 1691, 270, 1001, 275, 585, 519, 1576, 9460, 476, 6321, 279, 271, 6026, 676, 7905, 3220, 326, 6113, 1282, 519, 14400, 1412, 1691, 2165, 693, 4095, 4659, 540, 5303, 267, 16441, 333, 2967, 563, 268, 14400, 1412, 1691, 0, 19138, 519, 2360, 540, 2112, 998, 519, 4064, 540, 513, 1126, 269, 901, 4116, 781, 3391, 585, 13773, 7316, 1411, 3657, 543, 3973, 23680, 676, 3627, 15196, 928, 3568, 840, 268, 543, 2022, 268, 15105, 2238, 17047, 609, 5871, 11759, 3557, 11621, 269, 4841, 786, 946, 519, 960, 540, 3140, 5708, 543, 21141, 5931, 547, 1382, 875, 1004, 781, 2729, 538, 5507, 267, 4789, 4957, 1282, 543, 1310, 2622, 2782, 594, 269, 2991, 10962, 519, 4798, 538, 519, 3209, 267, 1053, 786, 1224, 543, 5659, 519, 1257, 269, 3414, 519, 3209, 267, 1382, 267, 543, 3140, 6054, 267, 789, 786, 1451, 827, 2022, 32034, 2566, 4524, 543, 2263, 2790, 1072, 2533, 2139, 547, 18884, 563, 21547, 17524, 534, 5753, 781, 14539, 6828, 568, 1753, 547, 1082, 540, 519, 1034, 3810, 28601, 543, 29810, 1453, 781, 791, 29251, 538, 13629, 281, 674, 1551, 541, 18135, 639, 12852, 26919, 267, 3171, 12685, 601, 543, 14886, 267, 3689, 5822, 267, 8361, 4591, 339, 267, 2398, 1342, 344, 7734, 267, 10162, 2130, 15588, 4964, 267, 543, 12384, 12551, 269, 631, 9573, 294, 4589, 543, 3879, 21116, 1331, 18238, 2961, 548, 267, 10793, 717, 656, 657, 267, 13690, 828, 569, 4024, 529, 4591, 339, 267, 32008, 12138, 267, 543, 8834, 590, 529, 282, 12300, 3197, 1331, 14068, 14173, 1399, 543, 14161, 519, 681, 2714, 933, 8814, 269, 0, 9617, 1317, 596, 2322, 1945, 538, 519, 9657, 10822, 3085, 1406, 1611, 621, 4991, 13381, 269, 769, 1931, 585, 513, 1570, 547, 2965, 581, 13381, 267, 2576, 1590, 1616, 547, 4444, 621, 543, 2490, 621, 883, 1945, 1007, 269, 10251, 267, 972, 616, 1312, 1483, 543, 9228, 7496, 950, 621, 2501, 547, 9657, 1031, 3536, 16291, 11183, 267, 971, 607, 4145, 827, 1426, 12526, 269, 6744, 609, 707, 9657, 9744, 827, 1018, 4523, 547, 519, 3536, 16291, 11183, 789, 4309, 563, 273, 269, 3281, 739, 707, 11183, 2443, 952, 2009, 563, 4462, 1652, 596, 2461, 5393, 30190, 609, 1129, 720, 543, 2069, 267, 6998, 14538, 547, 4990, 741, 6691, 1963, 689, 519, 17885, 949, 581, 606, 15081, 650, 6370, 269, 1879, 596, 946, 11003, 762, 2326, 267, 5561, 666, 12235, 3388, 883, 519, 1482, 10822, 269, 2334, 2306, 519, 1184, 4443, 585, 873, 543, 596, 269, 3619, 547, 4855, 3722, 20234, 8803, 2593, 547, 1265, 513, 9744, 2282, 596, 563, 274, 269, 11408, 581, 13533, 540, 3039, 31290, 563, 27916, 4768, 1218, 602, 1118, 519, 7029, 547, 979, 3039, 3068, 1776, 4161, 281, 1215, 798, 789, 917, 2436, 519, 968, 4818, 739, 762, 892, 11680, 543, 10824, 789, 4444, 2731, 616, 11003, 762, 286, 2368, 9755, 616, 2312, 827, 519, 6811, 789, 1118, 269, 11524, 5749, 1406, 269, 898, 779, 1434, 547, 2307, 2055, 543, 1271, 547, 1118, 2386, 519, 968, 13582, 892, 2472, 11751, 616, 14468, 676, 519, 21954, 22869, 15733, 4659, 267, 610, 645, 18444, 269, 2334, 786, 948, 596, 917, 4010, 1018, 596, 2461, 11449, 269, 3619, 547, 645, 18444, 779, 3896, 585, 513, 2407, 1592, 540, 14468, 2472, 563, 275, 269, 6153, 9746, 15114, 568, 1271, 547, 707, 14538, 563, 6624, 6800, 267, 3226, 7085, 3317, 10118, 267, 1616, 968, 26132, 892, 12478, 547, 957, 19100, 269, 4340, 547, 513, 2487, 5619, 676, 519, 7849, 16373, 4659, 267, 950, 772, 2529, 269, 6800, 917, 602, 513, 2754, 568, 13476, 543, 13998, 6857, 267, 476, 6812, 2600, 2161, 789, 2461, 811, 2693, 547, 2119, 922, 2472, 610, 2533, 269, 4329, 267, 476, 7871, 2600, 2161, 789, 2461, 811, 2693, 547, 1831, 10956, 5561, 269, 16639, 16291, 11183, 666, 581, 513, 3532, 1259, 547, 711, 1152, 5968, 707, 7029, 547, 6940, 267, 855, 849, 7794, 707, 6216, 779, 3239, 563, 276, 269, 1703, 616, 513, 2603, 540, 11003, 762, 11183, 5079, 563, 5804, 3048, 908, 609, 1114, 2326, 547, 8888, 1007, 2472, 267, 972, 568, 1631, 513, 2647, 3099, 540, 11003, 762, 11183, 3681, 2139, 585, 946, 269, 1452, 1331, 971, 2326, 607, 1135, 2643, 12519, 3679, 267, 610, 5068, 1500, 689, 2371, 282, 9126, 21692, 267, 519, 6775, 602, 3788, 1310, 10931, 2117, 2033, 568, 9268, 585, 4006, 282, 543, 2022, 15926, 10179, 1543, 267, 610, 1570, 602, 568, 16626, 689, 513, 1031, 1587, 543, 5828, 883, 1945, 1007, 269, 1452, 616, 782, 1373, 1031, 547, 1711, 2582, 14025, 11680, 267, 547, 30559, 11149, 267, 2759, 331, 2044, 267, 543, 824, 2010, 540, 11183, 563, 30789, 891, 2947, 2152, 538, 2247, 950, 6236, 707, 11183, 2115, 666, 1152, 948, 596, 581, 811, 3608, 543, 4264, 2469, 4464, 563, 27880, 6742, 710, 345, 568, 20885, 631, 13273, 585, 19889, 6261, 20094, 267, 799, 2306, 3536, 16291, 11183, 689, 7791, 2200, 543, 2022, 15926, 10179, 13381, 1543, 269, 0, 306, 5844, 23862, 12280, 15540, 630, 306, 10680, 264, 568, 519, 3056, 2014, 540, 2022, 928, 517, 7614, 10867, 9019, 538, 519, 2136, 2276, 269, 9737, 476, 4335, 271, 543, 476, 7785, 271, 12256, 5884, 609, 713, 5868, 1142, 1032, 267, 609, 606, 11841, 538, 476, 1960, 273, 540, 476, 272, 269, 273, 829, 476, 1911, 271, 2661, 24570, 269, 272, 590, 10680, 568, 3989, 607, 519, 6727, 2669, 540, 606, 10867, 7820, 982, 476, 272, 1032, 602, 3788, 32584, 1310, 513, 9488, 2013, 7634, 267, 1519, 2773, 540, 513, 2347, 1313, 641, 1910, 267, 6514, 540, 519, 2669, 6429, 267, 543, 2689, 540, 519, 4791, 1686, 269, 273, 5606, 1218, 609, 590, 10680, 5884, 1282, 513, 2565, 11095, 1974, 267, 799, 19589, 1063, 476, 273, 543, 476, 275, 3275, 540, 2085, 563, 8450, 849, 6032, 476, 4281, 274, 267, 476, 278, 3445, 267, 543, 476, 278, 4817, 563, 2467, 568, 2963, 689, 28772, 11043, 543, 2619, 11043, 13753, 547, 1489, 519, 1523, 602, 590, 10680, 12256, 693, 4332, 616, 1114, 689, 1346, 945, 7639, 269, 1717, 267, 972, 616, 1100, 4791, 7355, 602, 10646, 513, 20169, 607, 1164, 1981, 269, 25731, 328, 11043, 2090, 723, 8179, 4162, 538, 519, 27514, 543, 454, 310, 3739, 518, 631, 269, 12619, 19024, 543, 590, 5844, 23862, 12280, 15540, 269, 808, 24717, 269, 476, 1960, 276, 282, 24129, 263, 1015, 2567, 279, 1240, 268, 279, 866, 269, 8222, 281, 1015, 269, 1911, 272, 10768, 4821, 269, 1960, 276, 269, 271, 3374, 10711, 6110, 278, 2412, 2412, 0, 307, 11698, 267, 5147, 476, 1704, 267, 476, 1220, 278, 454, 763, 27869, 18888, 281, 3204, 523, 3130, 454, 301, 984, 1328, 3576, 803, 909, 593, 519, 2709, 547, 1831, 606, 10995, 14704, 269, 634, 3804, 729, 547, 4137, 856, 513, 1259, 540, 14291, 519, 2947, 2472, 540, 519, 11676, 8646, 5114, 883, 1614, 1007, 14041, 6675, 1496, 763, 27869, 18888, 4940, 634, 2947, 2472, 616, 1614, 3327, 630, 274, 290, 264, 7135, 543, 519, 1614, 1007, 14041, 6675, 616, 2947, 3327, 630, 276, 290, 264, 7135, 269, 3371, 781, 875, 621, 781, 2944, 4429, 10521, 476, 274, 290, 6675, 616, 8678, 547, 1118, 835, 3670, 3327, 630, 277, 290, 264, 7623, 630, 325, 28229, 1040, 3973, 1079, 540, 519, 3327, 8444, 689, 535, 28229, 616, 11843, 547, 1776, 476, 274, 290, 11140, 547, 1118, 519, 1101, 540, 519, 2947, 3327, 2472, 630, 1042, 267, 10775, 21695, 1040, 901, 3762, 513, 476, 275, 290, 11140, 602, 568, 8678, 547, 1776, 835, 540, 519, 476, 274, 290, 6675, 547, 3132, 513, 5722, 3327, 630, 278, 290, 264, 4006, 1572, 6822, 334, 515, 696, 21695, 269, 5565, 3327, 616, 11843, 689, 6822, 334, 515, 696, 21695, 547, 519, 2063, 476, 274, 290, 11140, 547, 3132, 513, 2034, 476, 276, 290, 11140, 269, 901, 3762, 519, 3791, 543, 2063, 476, 276, 290, 11140, 563, 8170, 1576, 972, 781, 513, 2603, 540, 535, 1342, 1782, 538, 519, 13374, 547, 1205, 519, 6675, 883, 519, 1318, 1106, 585, 891, 6547, 269, 3371, 781, 519, 2347, 27869 ]

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

[ 25259, 7020, 540, 18119, 1210, 8955, 14001, 28264, 21655, 630, 1805, 821, 1696, 620, 1421, 476, 1001, 273, 282, 1261, 731, 543, 623, 3739, 267, 476, 1220, 274, 264, 543, 519, 26945, 19718, 540, 32764, 273, 1210, 606, 27829, 2095, 2389, 4209, 9280, 609, 513, 23510, 7630, 528, 630, 24730, 1696, 620, 1421, 476, 1001, 274, 1070, 607, 1134, 607, 3114, 20592, 1210, 1312, 2199, 968, 7901, 892, 630, 14706, 8820, 2203, 264, 543, 1804, 8397, 2518, 7998, 20675, 1636, 3631, 630, 301, 823, 569, 1696, 620, 267, 476, 1001, 278, 282, 28199, 1696, 620, 1421, 476, 1220, 280, 1040, 634, 1382, 786, 1291, 547, 606, 4824, 6041, 540, 3114, 16617, 6127, 538, 3631, 602, 616, 1031, 585, 519, 12605, 540, 2104, 2242, 538, 2916, 543, 2011, 2298, 563, 763, 1007, 1620, 786, 1683, 1271, 3403, 883, 3631, 593, 513, 2039, 540, 8901, 10253, 3056, 547, 513, 1732, 16762, 12588, 540, 11626, 5888, 16046, 547, 5533, 543, 2916, 269, 2859, 4481, 713, 1788, 786, 1291, 547, 606, 4824, 6041, 540, 3114, 16617, 3157, 1369, 3631, 585, 12719, 1072, 543, 2916, 1644, 10250, 9362, 543, 5536, 267, 799, 568, 6417, 676, 27846, 543, 824, 12444, 1218, 267, 3056, 547, 4824, 16762, 12588, 540, 11626, 5888, 12725, 267, 3148, 958, 543, 11451, 563, 11854, 6900, 2127, 540, 1445, 585, 519, 1788, 786, 1331, 912, 268, 20970, 540, 32764, 273, 543, 21614, 273, 19718, 14170, 5196, 513, 3099, 540, 4694, 615, 1227, 4143, 1016, 2173, 545, 1258, 20851, 11169, 1210, 938, 4540, 27829, 2095, 8546, 630, 24730, 1696, 620, 1421, 476, 1001, 274, 282, 8235, 344, 1696, 620, 1421, 476, 1001, 277, 1070, 3226, 607, 513, 1599, 540, 2837, 543, 3448, 11195, 269, 1715, 267, 6213, 2409, 2919, 693, 2274, 2644, 786, 581, 1031, 547, 3713, 1367, 21614, 273, 2249, 267, 585, 1383, 676, 3114, 7503, 547, 519, 7222, 12659, 20293, 9097, 267, 21614, 267, 609, 7766, 7020, 676, 8955, 14001, 28264, 21655, 630, 4002, 601, 1696, 620, 1421, 476, 1001, 278, 1916, 268, 1677, 2268, 2047, 519, 2504, 2557, 540, 6491, 9317, 3679, 630, 295, 2177, 302, 264, 543, 18119, 630, 9816, 273, 543, 27846, 264, 689, 513, 2039, 540, 27829, 7252, 950, 25139, 693, 957, 28649, 7708, 1842, 335, 8879, 20966, 543, 896, 11626, 2175, 563, 268, 1677, 22945, 519, 11626, 5222, 540, 519, 19718, 540, 32764, 273, 543, 21614, 273, 593, 20851, 11169, 543, 519, 2504, 540, 18119, 543, 670, 2177, 302, 593, 513, 2039, 540, 8901, 10253, 267, 585, 1383, 1210, 513, 4216, 2203, 6220, 519, 2143, 9457, 11906, 11115, 1143, 267, 519, 6237, 654, 27184, 4211, 1335, 630, 5976, 606, 8561, 593, 26130, 4525, 264, 543, 2518, 772, 300, 268, 20084, 7563, 630, 20084, 2146, 11626, 7998, 8584, 14058, 565, 264, 3631, 269, 589, 1880, 1445, 568, 519, 1764, 593, 519, 19842, 4390, 543, 5888, 540, 6552, 543, 4683, 5054, 563, 22025, 1113, 585, 1164, 1764, 6364, 454, 763, 1788, 786, 5838, 606, 4824, 1620, 540, 519, 1909, 540, 20851, 11169, 538, 519, 7001, 22812, 3161, 540, 19535, 3154, 25686, 2249, 267, 3056, 547, 513, 1732, 16762, 12588, 540, 11626, 5888, 16046, 547, 5533, 543, 2916, 269, 13018, 267, 713, 1788, 786, 2087, 519, 6111, 540, 3114, 16617, 3157, 543, 2504, 540, 6281, 14107, 1369, 2011, 2298, 543, 2916, 3631, 267, 3056, 547, 4824, 16762, 12588, 540, 11626, 5888, 543, 2916, 1312, 3148, 958, 543, 11451, 269, 634, 960, 786, 581, 540, 1880, 1719, 547, 519, 4972, 540, 6355, 267, 6052, 543, 11633, 15613, 267, 543, 519, 4972, 585, 5113, 267, 5253, 543, 22798, 16457, 267, 543, 786, 849, 1683, 606, 4998, 6174, 585, 3163, 538, 5980, 2238, 267, 585, 1383, 14245, 538, 12140, 269, 634, 2164, 689, 519, 1788, 786, 581, 22412, 730, 4922, 547, 519, 3621, 2146, 998, 1164, 2298, 12326, 538, 3056, 3486, 13746, 543, 693, 3486, 19014, 563, 763, 2875, 786, 960, 896, 519, 15569, 540, 7905, 667, 3118, 928, 1261, 731, 630, 18662, 540, 11061, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 543, 4643, 8767, 11061, 6828, 1070, 3220, 23436, 1733, 531, 2917, 630, 18662, 540, 11061, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 543, 4643, 8767, 11061, 6828, 264, 543, 3220, 19378, 28199, 630, 18662, 540, 3047, 543, 5113, 267, 2274, 2644, 267, 4759, 540, 519, 27321, 11061, 543, 589, 14058, 11169, 1895, 540, 519, 4659, 585, 8693, 543, 27321, 3163, 630, 2975, 3008, 264, 543, 10615, 540, 519, 10418, 540, 28742, 585, 3525, 2454, 22014, 1877, 543, 8693, 630, 4753, 300, 3722, 1040, 634, 19217, 832, 1291, 3742, 543, 7524, 1382, 2516, 3695, 519, 1909, 540, 11626, 7998, 543, 27829, 538, 2011, 2298, 267, 1210, 8097, 543, 20592, 4485, 269, 1358, 616, 849, 2818, 540, 519, 2274, 2644, 23270, 267, 22014, 1877, 543, 11206, 630, 4041, 28425, 264, 10418, 269, 1703, 786, 849, 581, 3255, 547, 960, 609, 3486, 1788, 4891, 543, 3643, 741, 20682, 563, 2791, 786, 960, 538, 1134, 25668, 5792, 20682, 543, 581, 851, 540, 606, 3742, 267, 14762, 543, 1134, 30845, 11626, 7998, 2146, 269, 634, 2274, 2644, 2516, 4309, 7616, 689, 519, 2817, 10418, 585, 27321, 3163, 630, 10998, 3008, 264, 543, 616, 851, 540, 519, 27321, 20970, 11120, 1006, 267, 543, 723, 606, 18368, 3056, 10639, 538, 11626, 7998, 585, 2361, 7403, 540, 11626, 5888, 267, 8047, 2090, 540, 3114, 737, 27282, 543, 2584, 17190, 267, 543, 519, 1646, 540, 10230, 3631, 543, 3114, 6127, 267, 1519, 519, 9457, 11906, 11115, 1143, 630, 10157, 300, 1040, 11242, 538, 891, 1614, 2127, 616, 703, 2954, 5532, 543, 22524, 8817, 267, 3246, 513, 1713, 5413, 269, 634, 12854, 786, 1683, 513, 3376, 8552, 540, 1995, 538, 519, 946, 540, 1164, 1379, 22795, 267, 12511, 1949, 267, 25852, 267, 11418, 267, 2780, 6417, 1239, 11601, 1949, 543, 2409, 538, 10230, 9273, 12175, 1635, 2324, 609, 4274, 22602, 519, 2875, 786, 4309, 4359, 2930, 2866, 543, 3986, 741, 1983, 3490, 14320, 563, 763, 1788, 786, 849, 1331, 11285, 2866, 538, 630, 272, 264, 946, 543, 1646, 540, 4359, 10230, 3631, 267, 630, 273, 264, 2462, 1239, 2079, 267, 3308, 5314, 543, 7664, 267, 630, 274, 264, 7194, 543, 10462, 543, 630, 275, 264, 3621, 1603, 269, 1284, 9244, 1489, 1053, 547, 2328, 12326, 1282, 741, 12854, 630, 5408, 1806, 689, 3105, 1053, 593, 519, 5680, 3817, 540, 519, 19217, 832, 2016, 1657, 1040, 1411, 786, 581, 6462, 547, 7390, 1312, 3084, 543, 3486, 19014, 267, 543, 786, 4309, 513, 2647, 2039, 540, 2866, 267, 585, 1383, 538, 2792, 1983, 267, 1788, 2359, 267, 543, 609, 824, 2930, 3344, 630, 1721, 1383, 6997, 1613, 543, 7384, 1040, 4841, 723, 1569, 547, 2199, 1164, 2773, 7384, 6703, 607, 1134, 607, 1158, 11665, 1489, 998, 519, 10418, 585, 16869, 1047, 593, 3525, 2454, 519, 22014, 1877, 543, 8693, 630, 4753, 300, 3722, 264, 1107, 513, 6131, 2319, 3246, 2866, 585, 4359, 3631, 543, 1239, 563, 2791, 786, 849, 723, 1569, 547, 2866, 3177, 676, 519, 2817, 10418, 585, 27321, 3163, 971, 607, 519, 1488, 3757, 19639, 11365, 14400, 3427, 543, 824, 6030, 269, 634, 3811, 12854, 2875, 786, 723, 1569, 547, 513, 3376, 8552, 540, 2866, 11925, 602, 1331, 606, 3573, 2039, 540, 2866, 11925, 538, 10230, 20592, 267, 998, 547, 5883, 707, 4110, 267, 547, 8600, 585, 707, 642, 10216, 630, 10674, 2517, 4178, 269, 655, 525, 26973, 14259, 1456, 269, 548, 2644, 28482, 16896, 270, 1916, 24092, 715, 2207, 290, 25046, 3652, 4019, 269, 7248, 1218, 1058, 723, 513, 3689, 610, 476, 273, 281, 272, 4110, 538, 11061, 267, 8212, 267, 7025, 7070, 610, 513, 1644, 9015, 267, 610, 723, 513, 476, 273, 281, 273, 4110, 543, 849, 513, 27587, 28730, 269, 7248, 1218, 1058, 581, 513, 5177, 18299, 523, 267, 610, 606, 9167, 18299, 523, 945, 814, 5030, 538, 519, 5177, 585, 519, 2063, 476, 274, 1296, 23072, 15938, 610, 18544, 2069, 269, 15443, 573, 919, 1058, 723, 606, 1719, 538, 31627, 607, 1134, 607, 28429, 513, 4396, 6310, 5748, 269, 15232, 538, 5752, 1131, 581, 606, 5413, 563, 6635, 333, 1245, 267, 590, 269, 681, 1421, 1975, 571, 1188, 6352, 267, 667, 269, 966, 1421, 13879, 267, 808, 1421, 962, 817, 12711, 267, 715, 1421, 2233, 732, 267, 808, 1421, 645, 976, 836, 267, 645, 1421, 717, 4592, 267, 966, 1421, 3212, 2131, 523, 267, 594, 1421, 11066, 267, 589, 269, 595, 1421, 1325, 341, 664, 267, 590, 1421, 543, 631, 537, 4802, 267, 595, 12727, 16214, 540, 519, 2518, 30173, 568, 641, 16867, 2707, 543, 922, 5222, 593, 7286, 5214, 3327, 27829, 267, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 280, 267, 476, 10219, 274, 268, 14695, 273, 267, 476, 1220, 280, 454, 24730, 267, 594, 12282, 5919, 4223, 1492, 9749, 267, 623, 590, 808, 282, 1733, 531, 2917, 267, 700, 269, 918, 5919, 15588, 338, 267, 645, 5919, 2696, 323, 731, 267, 589, 5919, 645, 2801, 5633, 7304, 558, 3266, 267, 631, 11053, 5919, 1261, 731, 267, 667, 9950, 269, 12763, 906, 540, 19718, 14170, 585, 26945, 2530, 540, 32764, 273, 5196, 1016, 32342, 22803, 6070, 20851, 11169, 267, 8447, 11061, 11906, 8212, 267, 476, 1001, 274, 267, 476, 1428, 267, 476, 12553, 3066, 268, 12553, 3393, 454, 299, 820, 344, 267, 623, 269, 590, 269, 808, 1421, 7137, 651, 1889, 1512, 267, 570, 1421, 918, 1905, 325, 267, 631, 1421, 667, 2174, 523, 267, 808, 1421, 6008, 25534, 267, 590, 269, 590, 1421, 1733, 531, 2917, 267, 700, 269, 918, 1421, 769, 724, 600, 267, 570, 1421, 645, 2801, 5633, 7304, 558, 3266, 267, 631, 269, 570, 1421, 623, 7238, 338, 577, 331, 267, 772, 1421, 1744, 4275, 328, 11445, 267, 631, 1421, 2549, 10458, 267, 631, 1421, 543, 1261, 731, 267, 667, 269, 661, 12727, 634, 1198, 540, 25297, 543, 18236, 593, 519, 32764, 273, 19718, 676, 7319, 13427, 543, 6281, 5214, 27829, 5536, 267, 2311, 21573, 269, 6314, 269, 4284, 1421, 476, 1626, 267, 476, 9873, 3374, 268, 9873, 5325, 267, 476, 1001, 277, 454, 299, 2465, 808, 291, 267, 1733, 531, 2917, 700, 298, 267, 1261, 731, 16692, 267, 12942, 667, 267, 14480, 3467, 11555, 267, 16803, 808, 293, 267, 8479, 16692, 267, 30129, 808, 291, 267, 700, 879, 12028, 590, 267, 21890, 742, 10458, 808, 282, 26346, 6578, 2079, 540, 670, 2177, 302, 538, 3844, 5507, 8761, 513, 7508, 24817, 2707, 27321, 11061, 543, 8212, 476, 1626, 476, 28638, 278, 268, 28510, 275, 267, 476, 1001, 277, 454, 2662, 531, 2917, 700, 14389, 5919, 12942, 667, 5919, 6723, 594, 12282, 5919, 631, 1068, 525, 590, 5919, 11709, 18237, 868, 7967, 667, 5919, 570, 559, 326, 1676, 589, 5919, 4173, 337, 10458, 670, 5919, 27213, 631, 12282, 5919, 1261, 731, 667, 9950, 5919, 634, 3310, 540, 12269, 593, 9097, 9830, 281, 17325, 725, 543, 20592, 2090, 540, 670, 23682, 1282, 519, 10830, 7167, 13192, 774, 1005, 807, 630, 18449, 6311, 264, 5859, 538, 476, 1001, 271, 269, 27321, 11061, 543, 8212, 476, 1428, 476, 29044, 280, 268, 20065, 272, 267, 476, 1001, 276, 454, 16665, 15938, 5396, 912, 268, 27321, 2257, 454, 268, 7025, 2257, 454, 268, 2983, 26491, 2257, 454, 268, 7849, 9443, 454, 268, 8447, 2257, 0, 10111, 565, 7788, 667, 4428, 344, 779, 6648, 2048, 4537, 17415, 25578, 685, 568, 513, 6648, 538, 799, 1480, 7092, 568, 3927, 17814, 269, 667, 4428, 344, 3096, 519, 3510, 540, 13303, 20655, 540, 519, 6014, 1004, 547, 896, 1467, 713, 269, 667, 4428, 344, 779, 946, 540, 606, 24813, 2140, 267, 1927, 609, 1200, 11052, 3927, 7710, 713, 6249, 540, 1480, 7092, 563, 763, 6648, 779, 2140, 2048, 4537, 17415, 25578, 685, 5932, 513, 2631, 540, 13509, 269, 634, 2489, 25664, 725, 4294, 547, 713, 8360, 616, 602, 540, 513, 9991, 5182, 610, 5310, 519, 5898, 543, 21386, 540, 32030, 269, 1717, 621, 568, 711, 2394, 649, 3914, 519, 4890, 1543, 540, 519, 6648, 602, 649, 29311, 602, 519, 6801, 538, 2243, 616, 1346, 25578, 540, 6424, 267, 694, 1233, 593, 547, 519, 23157, 540, 7642, 593, 519, 1931, 540, 519, 13303, 12512, 269, 667, 4428, 344, 20964, 519, 14334, 543, 16897, 540, 519, 14195, 5612, 538, 519, 1101, 1899, 540, 519, 6648, 538, 519, 8360, 2048, 5475, 594, 1100, 3476, 3717, 9957, 3371, 667, 4428, 344, 5932, 606, 11212, 2178, 3239, 540, 16563, 543, 2669, 950, 519, 5639, 814, 1044, 1869, 539, 18385, 269, 634, 16897, 568, 4797, 538, 519, 3239, 2813, 676, 2048, 16269, 2736 ]

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

[ 273, 264, 575, 7251, 10490, 267, 291, 6661, 336, 19963, 575, 7251, 16360, 267, 290, 6661, 336, 10734, 7117, 14352, 336, 10734, 317, 273, 268, 336, 19963, 317, 273, 264, 7151, 476, 1428, 30381, 317, 273, 1532, 317, 273, 513, 284, 275, 536, 284, 272, 513, 284, 279, 536, 284, 278, 589, 266, 289, 284, 279, 2073, 589, 5174, 284, 275, 2073, 595, 266, 291, 284, 278, 2073, 595, 5937, 284, 272, 589, 284, 277, 2073, 289, 284, 273, 2073, 290, 284, 275, 2073, 291, 284, 274, 575, 7251, 10490, 267, 290, 6661, 273, 575, 7251, 16360, 267, 291, 6661, 272, 533, 14352, 273, 317, 273, 268, 272, 317, 273, 6661, 274, 575, 7251, 10490, 267, 291, 6661, 274, 575, 7251, 16360, 267, 290, 6661, 273, 7117, 14352, 274, 317, 273, 268, 273, 317, 273, 6661, 276, 1548, 798, 596, 1589, 827, 621, 888, 2252, 562, 568, 513, 6305, 267, 1287, 519, 3435, 547, 513, 317, 273, 815, 476, 272, 630, 7116, 562, 264, 616, 513, 815, 1341, 268, 272, 630, 7116, 562, 1040, 1403, 562, 815, 533, 265, 336, 1141, 533, 543, 7117, 616, 22136, 267, 1287, 519, 3435, 547, 513, 317, 273, 815, 476, 272, 630, 7116, 562, 264, 616, 513, 815, 1341, 268, 272, 267, 536, 267, 543, 524, 630, 7116, 562, 264, 1141, 692, 321, 815, 476, 272, 630, 7116, 533, 264, 543, 910, 272, 630, 7116, 7117, 2020, 322, 815, 910, 272, 630, 7116, 533, 264, 543, 476, 272, 630, 7116, 7117, 2020, 7312, 834, 935, 915, 675, 257, 5205, 689, 713, 1249, 780, 8310, 535, 1342, 1194, 609, 676, 24095, 23051, 593, 476, 1001, 279, 268, 6349, 268, 6734, 693, 476, 6349, 281, 5400, 692, 1001, 279, 268, 6349, 268, 6734, 267, 476, 6349, 281, 6078, 5231, 1948, 278, 454, 8364, 7065, 23051, 692, 257, 21579, 4840, 22261, 476, 1001, 277, 692, 5379, 278, 279, 24762, 692, 32621, 912, 20323, 17397, 676, 19499, 4815, 700, 788, 648, 2913, 715, 581, 513, 5033, 760, 3234, 334, 1287, 715, 30381, 317, 273, 1532, 317, 273, 786, 723, 1079, 3435, 513, 272, 14352, 301, 266, 272, 8358, 273, 543, 536, 272, 14352, 301, 268, 272, 8358, 273, 513, 273, 284, 286, 536, 273, 284, 286, 14697, 1030, 13396, 593, 536, 273, 4358, 689, 476, 271, 589, 266, 289, 30381, 272, 2073, 589, 5174, 30381, 273, 2073, 595, 266, 291, 284, 321, 272, 2073, 290, 5937, 284, 272, 575, 7251, 10490, 267, 290, 6661, 335, 19963, 575, 7251, 16360, 267, 291, 6661, 335, 10734, 533, 14352, 335, 19963, 317, 273, 1790, 10734, 317, 273, 264, 575, 7251, 10490, 267, 291, 6661, 336, 19963, 575, 7251, 16360, 267, 290, 6661, 336, 10734, 7117, 14352, 336, 10734, 317, 273, 268, 336, 19963, 317, 273, 264, 7151, 476, 1428, 30381, 317, 273, 1532, 317, 273, 513, 284, 275, 536, 284, 272, 513, 284, 279, 536, 284, 278, 589, 266, 289, 284, 279, 2073, 589, 5174, 284, 275, 2073, 595, 266, 291, 284, 278, 2073, 595, 5937, 284, 272, 589, 284, 277, 2073, 289, 284, 273, 2073, 290, 284, 275, 2073, 291, 284, 274, 575, 7251, 10490, 267, 290, 6661, 273, 575, 7251, 16360, 267, 291, 6661, 272, 533, 14352, 273, 317, 273, 268, 272, 317, 273, 6661, 274, 575, 7251, 10490, 267, 291, 6661, 274, 575, 7251, 16360, 267, 290, 6661, 273, 7117, 14352, 274, 317, 273, 268, 273, 317, 273, 6661, 276, 1548, 798, 596, 1589, 827, 621, 888, 4131, 781, 2490, 713, 883, 513, 3014, 630, 3286, 585, 1187, 6393, 2080, 649, 723, 5033, 760, 337, 1307, 715, 815, 533, 265, 336, 8151, 689, 476, 3445, 268, 1911, 9704, 269, 8058, 602, 585, 1142, 835, 267, 533, 815, 7117, 815, 476, 272, 630, 7116, 562, 264, 585, 513, 1808, 562, 269, 2334, 568, 267, 1397, 1142, 6305, 12270, 715, 814, 519, 1106, 737, 265, 333, 266, 272, 780, 2690, 1383, 10484, 301, 815, 476, 4649, 274, 26605, 12573, 10711, 30130, 29579, 276, 3066, 21076, 6795, 278, 3393, 276, 279, 4366, 6021, 279, 23884, 271, 5038, 6507, 274, 276, 1556, 8064, 274, 11260, 5881, 280, 4366, 280, 275, 4817, 29848, 26783, 14695, 4962, 280, 7597, 277, 279, 5038, 278, 7176, 3374, 279, 30420, 277, 3445, 272, 630, 333, 815, 476, 3445, 2020, 529, 513, 5033, 760, 31870, 269, 8058, 1142, 6305, 12270, 715, 814, 519, 1106, 476, 3445, 265, 330, 266, 272, 267, 610, 5973, 1836, 533, 815, 7117, 815, 476, 272, 630, 7116, 476, 3445, 264, 1141, 533, 336, 815, 715, 780, 2080, 616, 513, 1906, 811, 1806, 630, 339, 787, 543, 1397, 602, 1142, 6305, 12270, 715, 814, 519, 1106, 737, 265, 333, 266, 272, 17107, 301, 815, 476, 275, 4366, 5400, 280, 4962, 272, 5881, 277, 22550, 4281, 276, 6924, 278, 4343, 280, 275, 1240, 4343, 272, 14341, 280, 7761, 7176, 278, 26631, 271, 3607, 271, 4097, 29900, 275, 2767, 30116, 279, 7597, 16348, 277, 3445, 6321, 272, 6321, 279, 4817, 274, 276, 5379, 14225, 10384, 31256, 23470, 3374, 278, 267, 630, 333, 815, 476, 3607, 2020, 301, 815, 476, 12553, 16020, 12893, 280, 7597, 279, 2764, 16348, 25148, 8064, 273, 27038, 6321, 274, 29580, 3374, 280, 29045, 278, 5325, 280, 4343, 278, 866, 276, 5392, 24496, 24833, 26316, 11740, 276, 4200, 4037, 280, 28512, 29204, 28276, 13923, 5952, 278, 5379, 273, 4962, 278, 10037, 267, 630, 333, 815, 476, 5655, 2020, 301, 815, 476, 23283, 32133, 279, 4281, 3374, 280, 13647, 4366, 277, 2004, 273, 275, 2641, 277, 4097, 277, 4097, 32699, 14917, 28318, 4281, 274, 27898, 8064, 272, 280, 6078, 276, 1704, 279, 1240, 276, 6434, 6434, 274, 4391, 273, 275, 4343, 32146, 21497, 14689, 28670, 31079, 18733, 271, 2537, 1001, 267, 630, 333, 815, 476, 1911, 2020, 301, 815, 476, 21857, 280, 3953, 277, 2764, 277, 4281, 279, 1015, 6187, 272, 278, 4792, 25908, 9262, 275, 271, 4510, 4391, 273, 4366, 275, 4037, 276, 4366, 272, 12010, 15150, 277, 2641, 24241, 25240, 18733, 6812, 277, 275, 3066, 278, 5655, 16928, 276, 4037, 15094, 277, 1556, 6858, 272, 3583, 280, 26552, 5038, 272, 278, 267, 630, 333, 815, 476, 7176, 2020, 476, 1001, 279, 268, 6349, 268, 1626, 267, 476, 5400, 281, 2767, 1948, 279, 10911, 15124, 5264, 7545, 4119, 476, 1220, 277, 476, 15094, 276, 1626, 24762, 715, 823, 3014, 256, 16393, 596, 1397, 721, 875, 621, 1568, 2496, 5381, 27387, 338, 27387, 27387, 853, 6621, 17072, 1234, 18680, 7831, 5403, 19499, 4815, 700, 788, 648, 19499, 4815, 700, 788, 648, 476, 4366, 476, 1001, 278, 268, 1321, 268, 1789, 476, 6021, 281, 6246, 19499, 4815, 700, 788, 648, 19499, 4815, 700, 788, 648, 476, 8618, 476, 1001, 278, 268, 6021, 268, 2537, 476, 2641, 281, 7367, 24095, 23051, 16700, 3250, 10389, 4569, 476, 2767, 476, 1001, 278, 268, 4905, 268, 866, 476, 2641, 281, 876, 544, 1731, 564, 16700, 3250, 10389, 4569, 476, 277, 476, 1001, 274, 268, 4962, 268, 2420, 476, 4962, 281, 2918, 13382, 273, 3057, 514, 781, 631, 619, 26413, 268, 2456, 476, 273, 476, 1220, 274, 268, 6021, 268, 3066, 476, 866, 281, 4905, 692, 5472, 2053, 616, 27635, 269, 634, 942, 1631, 568, 476, 1240, 281, 1839, 780, 12507, 9484, 476, 2764, 476, 1240, 281, 1839, 281, 2412, 27635, 476, 1708, 271, 909, 476, 1240, 2395, 267, 476, 1428, 281, 3607, 267, 476, 272, 3593, 267, 4452, 25939, 281, 476, 272, 269, 9834, 267, 476, 273, 269, 1724, 267, 476, 273, 269, 1724, 0, 258, 476, 12571, 495, 19404, 493, 10533, 372, 11858, 372, 692, 18606, 2260, 4020, 513, 21070, 1843, 454, 341, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 274, 32007, 338, 815, 642, 269, 311, 1341, 834, 834, 1341, 642, 28629, 1341, 834, 834, 1341, 642, 269, 313, 282, 32526, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 20693, 510, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 476, 276, 267, 476, 271, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 272, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 280, 267, 586, 815, 476, 277, 267, 1990, 815, 476, 271, 692, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 418, 372, 505, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 476, 276, 267, 476, 271, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 272, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 272, 267, 586, 815, 476, 275, 267, 1990, 815, 476, 271, 454, 322, 815, 513, 2529, 889, 339, 847, 6357, 5148, 32526, 2162, 476, 12571, 495, 19404, 493, 25203, 372, 18263, 502, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 275, 267, 476, 275, 267, 476, 271, 32007, 2260, 524, 814, 1871, 1535, 815, 476, 736, 267, 586, 815, 476, 736, 267, 1990, 815, 476, 271, 454, 322, 815, 513, 2529, 7051, 263, 276, 5148, 32526, 2162, 17276, 511, 352, 26109, 493, 25060, 500, 12571, 495, 19404, 493, 421, 499, 371, 18021, 355, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 274, 11850, 320, 318, 6352, 815, 513, 11482, 2654, 16963, 2260, 1305, 519, 513, 781, 3259, 3160, 547, 476, 272, 269, 271, 454, 321, 815, 513, 12991, 5436, 1242, 3890, 3248, 322, 815, 536, 2529, 7051, 263, 276, 32007, 2260, 7003, 568, 3160, 547, 476, 276, 454, 6352, 815, 524, 11482, 2654, 282, 32526, 322, 28859, 480, 482, 15159, 418, 490, 485, 12571, 495, 420, 486, 485, 630, 272, 267, 476, 273, 267, 476, 274, 264, 22614, 505, 372, 12571, 490, 7511, 25913, 12571, 495, 8147, 12916, 484, 15159, 419, 493, 378, 21928, 421, 499, 371, 18021, 355, 419, 511, 487, 13161, 376, 476, 276, 12486, 692, 2162, 13127, 353, 500, 419, 358, 491, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 271, 267, 476, 272, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 271, 267, 476, 272, 267, 476, 272, 32007, 2260, 524, 814, 1871, 1535, 815, 910, 272, 267, 586, 815, 910, 272, 267, 1990, 815, 476, 272, 454, 322, 815, 513, 5861, 1484, 6357, 5148, 32526, 2162, 476, 10429, 356, 419, 358, 491, 692, 18606, 320, 815, 21070, 269, 3528, 10870, 24002, 263, 272, 267, 476, 273, 267, 476, 272, 11850, 321, 815, 21070, 269, 3528, 10870, 24002, 263, 276, 267, 910, 279, 267, 476, 275, 32007, 2260, 546, 814, 1871, 910, 278, 454, 323, 815, 513, 6185, 582, 6357, 5148, 32526, 8310, 8242, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 272, 692, 258, 8943, 281, 476, 280, 5723, 306, 25002, 4083, 645, 780, 24728, 594, 12054, 6856, 630, 305, 6021, 264, 4675, 11915, 1401, 3133, 725, 267, 2904, 476, 1001, 273, 11550, 289, 5723, 6579, 14510, 1299, 5254, 288, 2316, 306, 23154, 630, 300, 3663, 520, 16361, 264, 5384, 281, 476, 274, 3108, 692, 305, 6021, 692, 16655, 29485, 281, 476, 3583, 692, 5416, 264, 630, 321, 2020, 12585, 1022, 674, 25893, 2055, 2353, 2055, 4163, 3160, 7436, 2878, 30995, 2290, 3556, 568, 6537, 689, 513, 2834, 16064, 540, 476, 7367, 6486, 269, 1548, 568, 519, 5506, 540, 3556, 1373, 2901, 2699, 610, 513, 4622, 286, 589, 9126, 3568, 476, 1321, 11084, 22921, 689, 476, 272, 547, 476, 1321, 269, 1403, 513, 3440, 568, 3144, 693, 4351, 1018, 568, 519, 5506, 540, 2348, 513, 3440, 609, 513, 1297, 799, 568, 513, 2789, 540, 2901, 476, 273, 610, 476, 274, 269, 14419, 519, 4397, 1297, 540, 3885, 547, 723, 630, 320, 264, 476, 273, 8695, 543, 476, 273, 6690, 630, 321, 264, 693, 2547, 835, 7911, 630, 322, 264, 1100, 6690, 630, 323, 264, 693, 1034, 1079, 6690, 267, 856, 540, 476, 8517, 3885, 609, 476, 275, 1453, 1142, 269, 27539, 3160, 17831, 585, 8695, 543, 6690, 269, 589, 2875, 3217, 513, 3020, 610, 7301, 6514, 9967, 540, 476, 279, 2055, 269, 1261, 7058, 525, 1142, 2626, 269, 634, 7058, 525, 616, 1500, 693, 4351, 269, 4855, 519, 10545, 1871, 540, 562, 602, 519, 5506, 540, 27378, 693, 548, 770, 562, 2953, 4267, 568, 1447, 982, 1547, 6875, 476, 1789, 1793, 2354, 540, 1957, 543, 6003, 476, 276, 1142, 910, 275, 543, 476, 275, 267, 689, 1142, 910, 274, 543, 476, 274, 267, 1614, 1142, 910, 273, 543, 476, 273, 543, 1142, 910, 272, 267, 476, 271, 543, 476, 272, 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 ]

[ 0, 769, 2221, 781, 10562, 1158, 267, 519, 1909, 540, 1762, 1004, 607, 10256, 540, 1689, 814, 2760, 1044, 811, 2629, 269, 2060, 519, 13778, 4473, 538, 519, 1297, 540, 1762, 2043, 5001, 267, 972, 568, 513, 10296, 991, 547, 7668, 873, 609, 519, 2556, 1983, 543, 1702, 547, 6330, 606, 5051, 1950, 543, 6422, 5251, 269, 901, 1576, 1770, 12538, 883, 519, 1523, 540, 834, 312, 1926, 22895, 11208, 543, 4065, 21816, 324, 1359, 2437, 3246, 596, 609, 513, 4514, 1620, 540, 875, 29013, 3347, 543, 24749, 2833, 666, 948, 3337, 519, 2729, 540, 1762, 4079, 543, 3565, 547, 741, 11455, 1646, 269, 3414, 713, 1576, 267, 596, 786, 2263, 1585, 18125, 540, 6107, 30023, 543, 2069, 24749, 267, 1519, 922, 4644, 267, 2640, 267, 2591, 267, 543, 1655, 2853, 269, 1635, 6313, 1483, 8996, 1806, 267, 5969, 12967, 1382, 267, 543, 4207, 3466, 267, 596, 786, 581, 9280, 609, 519, 2645, 543, 4030, 2877, 547, 1118, 513, 6209, 1764, 593, 519, 2729, 540, 1762, 1004, 538, 707, 2146, 543, 3564, 780, 14294, 881, 766, 540, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 32458, 692, 2026, 519, 2518, 6107, 2551, 5170, 547, 1332, 693, 606, 27314, 2557, 267, 621, 3587, 1898, 547, 2232, 519, 2189, 2115, 543, 17050, 540, 713, 15295, 1895, 269, 2755, 1082, 1762, 4079, 4865, 10373, 1761, 267, 789, 1419, 3668, 5583, 267, 1489, 267, 543, 3255, 2838, 547, 12260, 741, 3020, 7207, 269, 901, 568, 1141, 30023, 543, 2069, 24749, 2097, 883, 1404, 267, 5356, 513, 3532, 1797, 540, 5807, 2123, 2208, 267, 5578, 1646, 267, 543, 1514, 5539, 1851, 1762, 2043, 780, 300, 550, 832, 4196, 607, 11967, 9666, 619, 267, 1476, 573, 1218, 267, 543, 1909, 3631, 945, 1683, 6497, 4315, 609, 3929, 267, 1514, 267, 543, 3318, 1489, 269, 1358, 2709, 3407, 4030, 267, 18836, 7326, 267, 543, 7520, 1565, 267, 7551, 7175, 1762, 4079, 547, 1628, 6043, 267, 11349, 1582, 18221, 267, 543, 3986, 741, 3375, 6194, 5759, 269, 5015, 267, 23003, 957, 607, 27857, 585, 2318, 1689, 267, 11121, 1762, 1004, 547, 11441, 585, 17284, 267, 7753, 9465, 267, 543, 11654, 741, 9909, 780, 19733, 13538, 267, 29285, 267, 4142, 6510, 741, 942, 267, 1648, 267, 543, 6791, 547, 5885, 3872, 5238, 267, 3292, 267, 543, 7341, 6322, 693, 14027, 519, 4081, 9740, 543, 1272, 1983, 540, 1762, 6267, 269, 1452, 6131, 2043, 12840, 5702, 609, 7855, 267, 16984, 267, 3237, 267, 543, 2950, 547, 1711, 23429, 267, 8537, 267, 543, 2502, 1565, 5054, 602, 8597, 547, 3309, 1565, 6163, 543, 2115, 269, 769, 3257, 865, 267, 789, 948, 8115, 10616, 538, 4199, 14305, 267, 14292, 2298, 267, 543, 2875, 6278, 267, 4180, 602, 1169, 1762, 1268, 814, 519, 4316, 547, 8011, 27268, 267, 13998, 267, 543, 14156, 780, 19119, 540, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 24801, 19030, 2162, 1280, 22895, 4315, 692, 265, 24046, 1582, 12635, 267, 6015, 267, 543, 8404, 454, 265, 20865, 2792, 267, 1966, 9010, 267, 543, 5718, 1983, 454, 265, 16842, 4656, 540, 4876, 3681, 543, 11444, 454, 265, 20523, 2631, 540, 3483, 267, 4287, 267, 543, 10362, 454, 265, 16237, 6533, 539, 6043, 267, 13916, 267, 543, 12003, 6127, 454, 265, 30771, 539, 1514, 5121, 543, 4296, 692, 2162, 1280, 22895, 832, 692, 265, 19662, 585, 2123, 2208, 267, 1565, 267, 543, 1582, 26190, 454, 265, 24046, 14375, 267, 18006, 267, 543, 5718, 1983, 454, 265, 22365, 1721, 1027, 7029, 547, 1514, 5539, 543, 18523, 6278, 454, 265, 1546, 4177, 7071, 585, 4763, 267, 9698, 267, 543, 10014, 454, 265, 23281, 540, 20106, 267, 22920, 267, 543, 9547, 454, 265, 19372, 618, 540, 1007, 17052, 543, 3318, 3347, 692, 2162, 1280, 4065, 21816, 32580, 692, 265, 2549, 680, 1881, 6612, 585, 3450, 267, 1565, 267, 543, 1818, 513, 3017, 454, 265, 22452, 547, 5499, 15338, 690, 625, 267, 4066, 267, 543, 4879, 2409, 454, 265, 12333, 1646, 998, 11925, 267, 5721, 902, 267, 543, 13033, 2621, 454, 265, 23779, 543, 12587, 585, 14222, 7418, 543, 10781, 454, 265, 7457, 547, 2200, 267, 7616, 267, 543, 11450, 3255, 454, 265, 20985, 1966, 9010, 543, 1071, 268, 21551, 540, 3435, 692, 29936, 543, 7454, 13756, 538, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 5785, 14343, 13430, 8601, 519, 16221, 2640, 2404, 609, 6107, 30023, 543, 2069, 24749, 267, 1896, 2591, 6414, 267, 26089, 6297, 7156, 543, 7580, 4058, 269, 2368, 1455, 23665, 1331, 1384, 265, 17290, 8244, 540, 5078, 23003, 543, 13538, 454, 265, 6184, 11211, 2866, 267, 1489, 267, 543, 6284, 585, 23003, 543, 13538, 454, 265, 2598, 1706, 885, 538, 1569, 547, 30023, 543, 15321, 3255, 2066, 4008, 267, 5198, 267, 14940, 267, 4638, 10066, 267, 9659, 4567, 267, 543, 14227, 4282, 454, 265, 2549, 15927, 6681, 5107, 267, 6788, 267, 543, 6302, 1063, 23003, 267, 6497, 4315, 267, 543, 13538, 454, 265, 32746, 7757, 11558, 267, 5698, 267, 543, 2792, 1851, 8639, 454, 265, 769, 324, 8997, 5464, 267, 6268, 267, 543, 6454, 540, 30023, 543, 15321, 3292, 692, 2414, 11574, 891, 2591, 543, 11126, 4093, 585, 782, 6105, 3238, 267, 20170, 547, 3964, 1655, 2853, 568, 14063, 269, 6206, 2994, 1331, 1384, 265, 4980, 22899, 513, 3309, 7535, 540, 23003, 543, 13538, 14436, 540, 519, 2950, 6039, 454, 265, 21278, 11826, 2866, 267, 5571, 15569, 267, 543, 2834, 5955, 547, 2327, 1164, 7779, 4205, 543, 2833, 454, 265, 674, 29183, 2312, 267, 5812, 267, 543, 12001, 2792, 9055, 1851, 782, 8639, 454, 265, 22034, 2963, 2861, 4485, 267, 10850, 267, 543, 2645, 547, 3391, 1982, 1374, 267, 6388, 267, 543, 4879, 454, 265, 30855, 2029, 267, 1239, 12642, 267, 543, 3059, 5867, 547, 20928, 3157, 267, 3950, 3356, 267, 543, 2268, 1764, 454, 265, 22716, 1944, 6024, 1565, 267, 9542, 267, 543, 5647, 547, 2611, 17841, 547, 6932, 3466, 267, 2115, 267, 543, 14422, 692, 14483, 12367, 543, 7464, 21509, 6201, 538, 15272, 22895, 11208, 543, 4065, 21816, 324, 1359, 454, 5785, 24801, 13430, 10907, 1484, 519, 8608, 267, 3875, 3906, 267, 5121, 267, 543, 5755, 1431, 616, 8362, 7722, 538, 5009, 6107, 30023, 543, 2069, 24749, 607, 4105, 3334, 540, 11455, 6107, 1646, 269, 7324, 519, 8037, 3466, 5935, 713, 2361, 616, 1384, 2162, 14044, 22895, 1681, 543, 21816, 324, 1359, 692, 4415, 7760, 538, 26313, 543, 2228, 5698, 2645, 267, 5691, 29013, 543, 24749, 723, 6591, 20086, 607, 14323, 8925, 547, 2757, 3068, 3562, 19904, 4497, 906, 269, 11588, 1331, 2799, 8112, 267, 13418, 267, 543, 10333, 267, 3226, 585, 1346, 2713, 538, 6552, 2127, 610, 6849, 10688, 10148, 269, 1717, 267, 10188, 2152, 1644, 547, 3972, 267, 22637, 267, 543, 12477, 3788, 513, 1883, 6161, 780, 2971, 7151, 281, 1775, 27745, 6826, 692, 328, 27745, 6826, 568, 513, 21722, 3919, 602, 13462, 9207, 5703, 14038, 609, 12391, 2937, 23003, 3842, 513, 5150, 267, 16419, 2228, 3760, 269, 4595, 922, 27299, 538, 476, 1220, 271, 267, 1775, 27745, 6826, 814, 19658, 5215, 540, 3811, 21927, 268, 618, 2465, 6292, 902, 267, 4611, 538, 4824, 1153, 20343, 267, 2362, 22692, 3928, 267, 543, 8476, 2022, 16149, 776, 23982, 1851, 10283, 6107, 780, 2162, 9061, 4149, 10725, 16890, 4721, 543, 21664, 692, 28403, 1944, 519, 1871, 540, 7104, 2962, 267, 1857, 267, 4357, 267, 543, 18758, 9988, 616, 5051, 11836, 4229, 547, 24244, 519, 3914, 267, 9165, 267, 543, 7145, 540, 6107, 30023, 543, 2069, 24749, 3646, 269, 6270, 21769, 6536, 3838, 1565, 267, 4199, 4254, 16478, 267, 543, 4390, 2679, 267, 6038, 7700, 547, 11528, 1689, 543, 4264, 1646, 780, 2971, 7151, 281, 3733, 19656, 781, 918, 2465, 704, 19137, 692, 17442, 684, 3481, 538, 476, 1001, 275, 676, 5518, 4446, 871, 15525, 267, 3733, 19656, 781, 918, 2465, 704, 19137, 6770, 1927, 2229, 8041, 267, 14078, 267, 13210, 267, 543, 2199, 2950, 547, 2232, 10770, 4316, 10616, 5185, 676, 8695, 543, 1762, 2367, 540, 2681, 269, 634, 11036, 6212, 593, 3670, 4295, 19325, 910, 10024, 1153, 4712, 547, 1451, 267, 2542, 693, 3446, 1377, 676, 3791, 3446, 267, 4271, 908, 689, 1164, 1153, 4712, 585, 2852, 543, 4876, 267, 11264, 2022, 16149, 776, 2069, 610, 2866, 267, 6707, 10024, 519, 13781, 267, 543, 4227, 5208, 543, 3246, 2034, 8458, 269, 1677, 4266, 267, 3733, 19656, 781, 918, 2465, 704, 19137, 814, 7722, 6634, 540, 1762, 2043, 267, 6462, 7366, 540, 2950, 267, 543, 10776, 7458, 9118, 12352, 543, 21769, 6322, 693, 5355, 519, 12918, 585, 8695, 543, 1762, 2367, 540, 2681, 780, 1103, 3932, 267, 6107, 30023, 543, 2069, 24749, 2099, 14984, 6472, 585, 14637, 519, 15421, 267, 18653, 267, 543, 30372, 540, 938, 24567, 6107, 2551, 269, 1306, 3743, 4961, 543, 17519, 1480, 7919, 267, 621, 1531, 334, 7174, 721, 547, 1902, 538, 891, 2565, 18129, 267, 30015, 1762, 4079, 609, 519, 1983, 267, 1702, 267, 543, 8741, 1431, 2877, 547, 8853, 538, 606, 2479, 21608, 1158, 269, 3414, 13447, 539, 4674, 267, 26772, 7029, 267, 543, 32344, 8207, 267, 649, 666, 15217, 1711, 17321, 20304, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 26670, 3496, 19793, 22777, 31802, 281, 589, 4222, 1759, 1935, 585, 15272, 4886, 454, 21292, 281, 312, 1926, 267, 19793, 22777, 31802, 267, 5020, 31853, 4065, 454, 763, 1297, 540, 1762, 1004, 11451, 568, 827, 547, 1831, 519, 4102, 538, 1686, 3448, 547, 519, 2937, 2551, 269, 3127, 568, 4397, 547, 723, 476, 4097, 269, 3451, 260, 2671, 540, 6107, 538, 2698, 2551, 676, 476, 1708, 271, 269, 1284, 616, 15691, 602, 519, 1297, 540, 6107, 786, 1294, 513, 30382, 540, 5722, 2600, 267, 602, 568, 547, 476, 272, 269, 274, 5479, 676, 519, 1032, 476, 10711, 271, 630, 7419, 7797, 267, 476, 1001, 276, 1040, 4340, 547, 519, 3561, 3812, 676, 519, 12080, 540, 10803, 543, 19510, 23840, 267, 6554, 540, 3127, 267, 538, 476, 1001, 274, 267, 834, 12671, 476, 18597, 2929, 6107, 267, 610, 476, 736, 260, 540, 782, 6107, 538, 519, 3384, 1158, 267, 616, 834, 573, 548, 257, 1107, 711, 538, 2069, 267, 7694, 610, 2866, 1701, 6736, 519, 11095, 7341, 543, 10333, 547, 519, 2200, 1034, 540, 891, 1762, 4079, 4043, 547, 6749, 856, 689, 2069, 269, 1403, 789, 616, 1134, 1790, 10517, 1563, 267, 519, 10708, 543, 1762, 4079, 538, 3384, 6082, 666, 4324, 689, 519, 2518, 4229, 602, 616, 13321, 741, 10600, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 312, 1926, 22895, 11208, 543, 4065, 21816, 324, 1359, 257, 607, 851, 540, 834, 28765, 22723, 13493, 1315, 21816, 324, 1359, 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, 18984, 1516, 570, 15711, 600, 529, 281, 27759, 2659, 7731, 543, 7991, 692, 20776, 341, 1516, 570, 15711, 600, 529, 281, 27759, 2659, 7731, 543, 7991, 692, 7072, 912, 288, 23329, 568, 513, 3126, 540, 11999, 5836, 6329, 3361, 676, 16767, 267, 14015, 26949, 1938, 267, 610, 15027, 26706, 269, 1452, 6821, 540, 1216, 666, 2014, 7839, 9552, 543, 2530, 540, 1272, 950, 789, 3914, 13272, 269, 1677, 2333, 707, 8458, 540, 17005, 513, 23329, 543, 10893, 3441, 267, 7041, 693, 1753, 267, 960, 267, 543, 1153, 568, 2629, 269, 901, 3391, 786, 3802, 596, 998, 1898, 3268, 547, 5965, 3054, 267, 707, 1920, 267, 543, 707, 2146, 585, 513, 1761, 23329, 2680, 780, 2162, 5153, 476, 272, 281, 13760, 570, 15711, 9564, 24093, 543, 2782, 940, 20050, 692, 9596, 952, 707, 1858, 568, 12155, 547, 20016, 600, 529, 676, 10992, 2199, 2200, 971, 607, 2229, 7270, 267, 17027, 12220, 267, 543, 6595, 2359, 13646, 269, 25800, 3054, 609, 9963, 4191, 899, 4028, 4262, 1377, 14380, 267, 8966, 21089, 4947, 689, 519, 5836, 267, 610, 2178, 24373, 17915, 269, 11310, 568, 1379, 282, 1373, 3222, 540, 891, 4220, 543, 10832, 786, 948, 2327, 12905, 2962, 1282, 513, 6433, 780, 2162, 5153, 476 ]

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

[ 5525, 692, 2691, 4058, 16917, 8344, 2090, 267, 8939, 3617, 6272, 5849, 4570, 8753, 269, 9050, 1292, 6688, 2291, 281, 10855, 267, 10763, 267, 8097, 267, 543, 10316, 269, 29149, 4485, 630, 324, 3052, 1421, 3444, 22891, 12220, 264, 2709, 3355, 1350, 31663, 525, 883, 2068, 3270, 1510, 22942, 532, 1757, 566, 269, 30551, 2409, 630, 13826, 20820, 267, 20165, 1070, 2705, 267, 7520, 16198, 1063, 6534, 543, 1875, 7721, 12723, 2516, 547, 18505, 12205, 269, 21885, 1305, 5725, 630, 12690, 1242, 6417, 8062, 264, 5512, 1463, 12879, 540, 4598, 4632, 267, 3246, 7347, 2963, 585, 2014, 13716, 3347, 269, 28628, 6272, 11100, 2934, 540, 2789, 2010, 267, 5356, 8112, 4470, 593, 13865, 10148, 543, 6859, 780, 13706, 519, 5571, 7521, 4478, 552, 24294, 12076, 3106, 269, 589, 17053, 20165, 1353, 676, 645, 1002, 3279, 1299, 3794, 656, 345, 630, 1001, 280, 264, 1336, 2799, 12918, 540, 26961, 658, 1102, 541, 794, 1851, 3232, 552, 24294, 12076, 3755, 3379, 547, 2760, 268, 22852, 267, 31552, 1761, 2800, 269, 1717, 267, 971, 22423, 4681, 3112, 17046, 569, 3715, 1757, 1275, 1813, 547, 1476, 15929, 12886, 7915, 538, 1875, 7721, 704, 14939, 1382, 269, 4935, 267, 11826, 7634, 19329, 3309, 1353, 23857, 3358, 547, 2232, 1808, 2055, 780, 4089, 476, 275, 281, 14362, 540, 5398, 2657, 692, 14276, 1072, 6212, 593, 5009, 543, 7863, 7104, 8171, 3842, 23499, 21769, 21214, 2069, 267, 3609, 6194, 267, 4791, 1416, 267, 543, 1382, 269, 11759, 28975, 31721, 1472, 6604, 267, 9698, 267, 1514, 5126, 267, 543, 2963, 26455, 3375, 6194, 269, 10644, 21269, 1614, 2157, 281, 2215, 867, 658, 630, 11232, 1154, 3597, 3123, 1070, 3119, 630, 16442, 1359, 26813, 1070, 543, 6281, 270, 614, 339, 10706, 630, 2466, 580, 908, 4539, 6393, 13420, 640, 1193, 1161, 547, 9004, 2057, 762, 3604, 538, 1072, 4567, 610, 1569, 547, 2533, 1759, 593, 14227, 2990, 267, 5198, 267, 4008, 267, 2085, 267, 610, 824, 14404, 13294, 269, 4317, 5126, 11498, 3564, 3782, 11865, 267, 14957, 6626, 6848, 15024, 5466, 7293, 31716, 30740, 1072, 13103, 269, 15845, 2861, 2259, 14122, 24758, 3621, 1702, 883, 29829, 4808, 5935, 7459, 543, 4507, 780, 18600, 8996, 6286, 32736, 267, 3226, 9624, 24567, 2591, 899, 2916, 1689, 543, 23776, 21568, 269, 1306, 12006, 676, 519, 1977, 5398, 2657, 5948, 630, 4338, 11190, 1070, 3665, 4365, 2621, 28978, 676, 2518, 8337, 25409, 1860, 7925, 2950, 267, 25967, 1681, 519, 23473, 540, 10128, 2916, 6043, 883, 1857, 1072, 989, 31789, 630, 4338, 11190, 267, 476, 1708, 271, 1040, 19452, 267, 32117, 23776, 5829, 28896, 3747, 13447, 539, 6114, 5473, 13178, 267, 2800, 5786, 267, 8213, 2126, 267, 543, 1928, 2359, 15024, 780, 6962, 692, 8139, 27496, 543, 1857, 1072, 3741, 28382, 14971, 13500, 609, 4105, 1983, 10489, 2056, 5127, 2515, 1416, 269, 1635, 9301, 3677, 11528, 4229, 6117, 1072, 24551, 267, 596, 666, 22299, 11455, 3435, 5807, 4824, 4093, 543, 4389, 13103, 269, 22737, 713, 5133, 607, 596, 6330, 707, 3460, 2509, 4742, 513, 17519, 267, 5483, 19995, 8149, 547, 7393, 18497, 10304, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 6701, 596, 3206, 540, 2469, 883, 4915, 286, 6969, 14045, 547, 1246, 513, 840, 2173, 539, 1576, 538, 1164, 1153, 267, 621, 568, 3810, 5227, 602, 596, 2638, 856, 513, 1906, 2564, 22631, 4721, 563, 8002, 1302, 267, 519, 5354, 540, 1164, 1153, 1053, 945, 1616, 547, 1831, 7189, 1439, 909, 4657, 741, 2101, 538, 2852, 1317, 519, 840, 2173, 539, 5049, 616, 1932, 2352, 563, 3719, 596, 2907, 917, 875, 4101, 2564, 1153, 568, 269, 898, 786, 1942, 7366, 540, 9489, 543, 1491, 1896, 1296, 269, 1677, 324, 1673, 6235, 538, 519, 1216, 1354, 2469, 782, 519, 1259, 538, 786, 4061, 581, 513, 17512, 881, 2856, 563, 1607, 1433, 786, 3382, 3388, 972, 568, 547, 917, 827, 513, 2564, 22631, 1222, 267, 519, 3255, 2139, 547, 596, 607, 513, 1164, 1153, 2875, 267, 543, 513, 1592, 540, 2564, 22631, 4721, 563, 288, 2564, 22631, 1222, 9247, 5713, 607, 513, 1445, 1448, 950, 513, 2875, 540, 4915, 3587, 513, 8026, 4387, 269, 901, 1995, 540, 3318, 1436, 543, 7127, 883, 1463, 3461, 5539, 267, 799, 814, 922, 5072, 538, 6413, 29095, 4721, 267, 814, 3144, 513, 688, 874, 1794, 731, 8905, 563, 7712, 519, 4098, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 292, 3671, 655, 5735, 543, 5398, 2657, 257, 607, 851, 540, 834, 25503, 1315, 10749, 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, 279, 281, 4934, 18721, 13474, 1107, 21207, 532, 28673, 538, 13474, 8535, 692, 5970, 596, 2479, 5433, 899, 8840, 519, 3652, 286, 2107, 6148, 596, 4312, 20402, 1946, 1978, 4808, 2291, 538, 519, 1101, 1747, 269, 1403, 865, 267, 1287, 596, 1522, 723, 1945, 538, 1455, 609, 5159, 945, 2813, 7979, 1177, 2197, 2575, 256, 901, 2189, 2511, 540, 2197, 7153, 538, 519, 3735, 476, 3422, 271, 338, 543, 2038, 1412, 3583, 338, 950, 930, 2206, 619, 543, 5152, 32392, 4956, 789, 4941, 547, 7903, 1394, 1996, 2757, 14908, 538, 1312, 3280, 543, 6197, 269, 1452, 30280, 8179, 3152, 3860, 5191, 543, 13597, 1765, 16838, 952, 621, 5921, 2469, 1996, 519, 8155, 540, 27850, 6807, 781, 8535, 18007, 267, 1141, 1082, 2442, 2197, 5638, 941, 3812, 693, 519, 942, 780, 3383, 267, 1018, 4010, 568, 7979, 1177, 2197, 286, 1677, 2322, 621, 3274, 267, 713, 24848, 516, 10905, 4224, 1412, 333, 262, 5066, 1648, 609, 6151, 267, 10002, 565, 1639, 4938, 1023, 543, 18405, 602, 1419, 10994, 9184, 5622, 5396, 269, 1809, 5310, 1256, 811, 11932, 267, 7979, 1177, 2197, 4564, 513, 6521, 2509, 1367, 1143, 1369, 519, 6626, 2796, 540, 2197, 2575, 1686, 269, 2913, 781, 4685, 883, 875, 713, 782, 3357, 547, 581, 2439, 763, 17510, 540, 4934, 18721, 13474, 454, 28598, 2414, 1174, 7979, 1177, 2197, 4628, 267, 649, 991, 547, 979, 1394, 547, 922, 5072, 269, 4438, 519, 476, 3422, 271, 338, 267, 972, 729, 3395, 27025, 8351, 1851, 1896, 7986, 2197, 12372, 3823, 519, 521, 5585, 2504, 2418, 543, 4542, 545, 5152, 8586, 4947, 856, 540, 27850, 6807, 801, 3930, 269, 1358, 1279, 539, 585, 513, 2132, 547, 519, 9135, 781, 3312, 6891, 281, 2241, 9423, 4904, 609, 7553, 267, 19969, 267, 543, 27497, 780, 3080, 11358, 4090, 3357, 950, 10916, 11653, 3794, 523, 10965, 617, 11276, 11827, 513, 1007, 1826, 540, 23673, 4216, 1572, 519, 17540, 3960, 6874, 821, 269, 4024, 773, 20307, 267, 835, 540, 519, 2104, 23806, 540, 7979, 1177, 2197, 267, 1031, 713, 1198, 593, 1010, 5734, 2582, 834, 15916, 654, 8712, 2437, 5950, 538, 476, 3422, 272, 269, 1717, 267, 621, 7012, 1405, 2394, 2663, 602, 5159, 1131, 5963, 9784, 519, 1761, 540, 16471, 13193, 326, 615, 8728, 609, 2757, 2197, 2609, 780, 10521, 1883, 5515, 538, 5935, 519, 7979, 1177, 3350, 941, 10158, 23127, 20388, 902, 543, 8751, 335, 718, 3794, 6471, 269, 5637, 2367, 1185, 6913, 1967, 607, 21088, 6411, 855, 1336, 2933, 21616, 676, 519, 10148, 13684, 2390, 873, 676, 2594, 10297, 543, 12696, 269, 769, 3210, 267, 789, 4646, 513, 10690, 7104, 1634, 607, 834, 1492, 4934, 331, 9155, 2437, 799, 3769, 824, 899, 332, 14800, 2043, 971, 607, 25014, 328, 2051, 614, 630, 310, 599, 23127, 781, 7385, 1070, 25381, 15608, 1744, 11232, 267, 6424, 30129, 3213, 324, 267, 918, 5142, 26701, 4752, 3205, 267, 543, 4024, 773, 20307, 780, 1607, 1895, 3459, 16089, 11549, 4548, 10446, 267, 1863, 689, 519, 14461, 1852, 540, 13416, 27850, 6807, 269, 4256, 3646, 19411, 730, 538, 519, 14262, 28094, 17581, 834, 310, 5896, 256, 634, 4934, 331, 9155, 2437, 5950, 538, 476, 3192, 277, 269, 3171, 520, 1005, 16125, 899, 834, 14187, 9839, 539, 19716, 257, 630, 320, 5918, 564, 1063, 10158, 23127, 543, 4024, 773, 264, 543, 834, 296, 6415, 18391, 28644, 547, 898, 257, 676, 8751, 335, 718, 3794, 6471, 267, 519, 2594, 2968, 513, 7372, 5010, 1967, 267, 8757, 1297, 835, 593, 9291, 4580, 781, 2197, 12125, 543, 9513, 936, 513, 2929, 12215, 780, 7659, 15689, 540, 4934, 18721, 13474, 454, 10900, 19567, 3086, 602, 649, 917, 875, 7979, 1177, 2197, 3893, 3323, 1577, 781, 4983, 930, 540, 922, 10747, 4162, 1384, 2162, 21984, 14675, 692, 19284, 519, 25509, 24299, 32338, 908, 689, 27850, 6807, 801, 3930, 1282, 713, 5736, 267, 7979, 1177, 2197, 17947, 513, 811, 27726, 12716, 269, 5940, 9285, 1368, 527, 1513, 267, 4174, 5529, 16365, 12417, 267, 543, 3618, 344, 13047, 5838, 625, 6353, 891, 13475, 269, 1635, 7947, 532, 7050, 6106, 540, 31627, 543, 17953, 344, 2504, 2553, 267, 7979, 1177, 5159, 6322, 547, 1711, 513, 521, 4577, 5251, 602, 8272, 549, 1042, 741, 1378, 1100, 1922, 337, 1571, 8456, 780, 2162, 21741, 5622, 11762, 692, 5194, 10689, 5658, 540, 7979, 1177, 2197, 568, 21365, 11786, 4798, 2212, 6823, 269, 3245, 3075, 946, 9497, 32292, 11155, 1299, 700, 1030, 1399, 257, 676, 16011, 525, 11709, 2098, 663, 339, 264, 547, 23948, 566, 9497, 763, 9835, 12875, 257, 676, 6723, 13643, 264, 543, 29281, 1193, 1057, 9497, 17951, 601, 674, 2391, 18320, 19171, 547, 519, 16140, 257, 676, 4024, 773, 20307, 1070, 1906, 5396, 941, 1055, 29438, 1080, 269, 3414, 6596, 11430, 878, 1143, 267, 7979, 9155, 13934, 6848, 6788, 1247, 3246, 19700, 609, 11541, 6386, 1305, 547, 6952, 344, 23964, 780, 2162, 10572, 1143, 692, 5415, 982, 4376, 3116, 267, 7979, 1177, 2197, 22993, 513, 15141, 1190, 6891, 10704, 1472, 2123, 13190, 269, 20551, 15189, 547, 14883, 547, 2872, 4441, 610, 15666, 14553, 547, 3964, 7574, 5389, 269, 5502, 267, 789, 20077, 856, 741, 10092, 267, 13197, 3860, 23118, 543, 1219, 3539, 11008, 1436, 269, 1306, 513, 1267, 267, 7979, 1177, 2197, 3788, 606, 11972, 3090, 540, 1875, 935, 845, 640, 1369, 519, 3677, 7706, 540, 2197, 2575, 780, 18698, 4329, 454, 2411, 692, 3528, 1631, 267, 596, 1058, 723, 513, 4396, 1620, 540, 1018, 7979, 1177, 2197, 568, 543, 875, 621, 8329, 547, 519, 3638, 13795, 540, 1977, 2575, 269, 1924, 267, 1141, 798, 649, 979, 689, 1934, 286, 1703, 781, 7899, 811, 547, 3605, 827, 713, 4241, 24848, 516, 2439, 2690, 26784, 267, 18167, 4514, 883, 519, 2729, 543, 11678, 540, 9565, 7979, 9155, 899, 4024, 773, 20307, 267, 10158, 23127, 20388, 902, 267, 543, 8585, 548, 670, 12000, 731, 666, 2709, 3407, 4030, 883, 741, 7499, 18144, 543, 7506, 269, 3958, 267, 6313, 4207, 5159, 8876, 593, 519, 7979, 1177, 9371, 2221, 786, 948, 9414, 519, 9434, 1764, 540, 713, 12316, 3350, 780, 1103, 14656, 267, 3314, 602, 3695, 1114, 11964, 543, 6163, 2636, 721, 547, 5660, 519, 5318, 4763, 7915, 538, 2575, 269, 3807, 607, 7979, 1177, 2197, 6719, 513, 12050, 22576, 689, 6671, 7326, 5756, 3516, 267, 865, 1932, 1281, 2413, 17634, 3136, 547, 3337, 543, 28196, 710, 519, 6302, 540, 1585, 11964, 269, 5901, 606, 1930, 2247, 267, 3251, 8049, 267, 543, 2141, 10027, 880, 519, 1379, 540, 2575, 547, 3142, 1004, 1927, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23325, 24124, 267, 12968, 5652, 6874, 517, 330, 267, 543, 595, 4592, 20108, 16319, 454, 5804, 519, 10022, 1977, 8535, 6660, 16893, 454, 288, 22256, 26797, 856, 513, 561, 2158, 727, 5152, 563, 288, 13176, 626, 726, 15085, 856, 513, 1000, 836, 344, 1291, 563, 288, 535, 1497, 6345, 6770, 856, 513, 6653, 23260, 563, 4322, 616, 519, 4992, 540, 2197, 563, 15575, 787, 2575, 9782, 856, 540, 519, 12563, 8964, 602, 11082, 4547, 547, 519, 2136, 2276, 269, 634, 2575, 3262, 689, 519, 1977, 3162, 547, 782, 936, 519, 2197, 267, 13830, 519, 13922, 543, 519, 9620, 540, 4948, 1004, 269, 769, 519, 8938, 23867, 2540, 267, 11655, 2972, 782, 12204, 540, 3552, 267, 909, 18566, 267, 543, 3001, 6163, 540, 2197, 2575, 563, 8340, 856, 1018, 6273, 519, 2197, 779, 1034, 12300, 8964, 269, 13028, 519, 2984, 540, 7979, 1177, 12372 ]

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

[ 8594, 543, 12236, 519, 10639, 540, 519, 4279, 10794, 563, 4407, 972, 941, 7899, 540, 25133, 25267, 543, 21372, 737, 7315, 919, 547, 3442, 689, 538, 519, 25610, 267, 1919, 3357, 547, 513, 2212, 950, 519, 28592, 8036, 741, 24738, 593, 3127, 269, 4634, 1354, 2921, 936, 519, 556, 1231, 689, 519, 5101, 3127, 7577, 267, 519, 2826, 29913, 1185, 2097, 547, 29311, 875, 4105, 713, 17028, 7458, 15896, 729, 547, 741, 2804, 4690, 269, 634, 4090, 789, 3893, 2842, 540, 6576, 779, 8247, 267, 621, 729, 2312, 602, 741, 12733, 1185, 547, 581, 29846, 563, 305, 27927, 25760, 779, 29570, 519, 4279, 10794, 568, 513, 1134, 25454, 5758, 540, 519, 2577, 5209, 540, 519, 1079, 23766, 543, 519, 7766, 29854, 540, 741, 3527, 563, 10214, 607, 6576, 1572, 1055, 922, 1101, 14699, 538, 476, 5197, 272, 267, 519, 3703, 3323, 2921, 6006, 540, 741, 8513, 896, 519, 4279, 26344, 2210, 3740, 11752, 269, 3414, 32462, 3646, 1247, 11837, 936, 476, 272, 267, 7785, 5195, 2066, 519, 3259, 540, 3127, 267, 789, 6368, 8452, 693, 519, 7187, 10665, 267, 1141, 789, 1631, 588, 1563, 693, 519, 11397, 1164, 10239, 267, 11235, 547, 1451, 1018, 2482, 3564, 873, 563, 4407, 5619, 532, 4095, 8513, 4843, 922, 1378, 2591, 585, 519, 3703, 267, 972, 729, 4313, 538, 519, 1249, 602, 713, 729, 1869, 741, 1378, 6389, 269, 31072, 540, 741, 10665, 1498, 267, 621, 729, 606, 3635, 17078, 523, 609, 4220, 602, 3323, 609, 11972, 519, 32716, 540, 2470, 538, 964, 25544, 1768, 23230, 1141, 1152, 519, 3514, 11687, 15068, 563, 4263, 519, 2295, 540, 519, 2239, 616, 703, 516, 3671, 3703, 7980, 267, 945, 8179, 7045, 543, 17947, 519, 24604, 602, 3357, 609, 621, 267, 607, 3379, 547, 9361, 2653, 538, 3106, 8015, 741, 10136, 563, 2026, 2038, 607, 476, 8687, 272, 267, 5261, 631, 3233, 8154, 1305, 856, 998, 7164, 8513, 593, 519, 840, 3667, 540, 9140, 519, 535, 12574, 9640, 540, 645, 758, 327, 4673, 547, 24772, 519, 3703, 29816, 269, 3683, 942, 267, 1866, 4553, 538, 1010, 3723, 25074, 267, 4466, 741, 1378, 4128, 547, 1491, 593, 971, 829, 559, 748, 15322, 269, 1879, 519, 31587, 6739, 3463, 729, 6956, 547, 12446, 936, 1633, 689, 519, 5087, 29891, 267, 621, 2968, 16122, 585, 519, 3703, 547, 13021, 1022, 4485, 689, 602, 4287, 563, 11742, 543, 1586, 267, 24816, 941, 1500, 543, 7745, 267, 607, 519, 3703, 6743, 547, 5150, 741, 2990, 8015, 25267, 538, 15787, 543, 30111, 267, 799, 8593, 2059, 519, 8905, 602, 519, 28592, 941, 2693, 547, 1491, 269, 1809, 950, 789, 6836, 547, 1174, 519, 2482, 540, 519, 2244, 3564, 891, 11182, 267, 789, 1336, 519, 7851, 540, 6239, 5607, 543, 17230, 547, 581, 13385, 267, 4611, 538, 606, 5736, 540, 3408, 602, 729, 1631, 4105, 547, 741, 6668, 563, 2691, 3703, 10492, 1305, 856, 593, 13178, 13485, 267, 789, 1483, 2213, 602, 4509, 3382, 729, 3833, 513, 4305, 269, 18279, 7338, 6723, 8053, 326, 9593, 773, 1185, 4767, 519, 8897, 609, 799, 17137, 689, 3127, 1223, 5577, 2066, 10665, 543, 4166, 8036, 513, 1906, 25165, 538, 8905, 5619, 267, 6998, 873, 547, 2594, 741, 7422, 2059, 519, 1259, 563, 2005, 5795, 4473, 547, 519, 2085, 540, 623, 1495, 1080, 1765, 29985, 2367, 538, 24320, 1047, 267, 945, 8678, 1585, 1286, 822, 753, 602, 1305, 856, 585, 11397, 3338, 269, 4256, 3106, 729, 607, 7334, 607, 741, 2132, 4266, 267, 855, 8164, 25836, 2367, 899, 715, 664, 19453, 543, 918, 842, 1575, 8120, 1753, 1310, 2909, 1324, 7366, 540, 5195, 540, 17946, 691, 1229, 8513, 267, 789, 19942, 936, 17170, 1344, 602, 5280, 519, 3703, 6445, 538, 891, 1025, 3471, 593, 519, 4786, 563, 763, 28592, 593, 519, 824, 1688, 1185, 741, 1378, 1305, 540, 4108, 1252, 1023, 267, 945, 3366, 11044, 547, 3409, 607, 1454, 8513, 607, 2009, 538, 6239, 5607, 547, 1205, 2673, 547, 3127, 269, 6736, 7368, 8942, 267, 789, 16309, 538, 3478, 1152, 607, 2484, 607, 5375, 12395, 652, 534, 267, 1247, 3624, 729, 2451, 609, 8109, 12395, 652, 534, 2066, 519, 31656, 15077, 269, 9282, 519, 3703, 6836, 547, 30549, 4708, 609, 519, 28592, 593, 513, 1906, 14026, 267, 519, 5134, 6412, 1063, 519, 1079, 581, 1335, 16251, 729, 7805, 267, 607, 4130, 5716, 16004, 519, 20015, 660, 540, 741, 3448, 538, 572, 15247, 942, 543, 1586, 563, 763, 24187, 602, 16768, 585, 936, 513, 2540, 729, 5555, 4547, 547, 513, 26699, 676, 519, 17454, 7304, 11701, 13482, 538, 476, 5002, 278, 267, 799, 8694, 513, 15999, 5736, 540, 11028, 18590, 602, 729, 10578, 1813, 547, 922, 22406, 6151, 1145, 563, 11693, 602, 1034, 540, 519, 11271, 540, 519, 1433, 616, 5094, 12531, 538, 3294, 267, 25760, 21314, 547, 7485, 1055, 513, 561, 16112, 32538, 540, 513, 2864, 1950, 2272, 609, 23538, 543, 7140, 513, 680, 4868, 269, 1280, 1346, 5432, 609, 891, 13602, 267, 519, 1433, 1223, 581, 513, 17279, 267, 1498, 606, 22555, 15415, 1223, 3142, 1007, 4030, 269, 1809, 585, 1346, 945, 2721, 513, 10145, 693, 519, 2446, 540, 519, 4279, 10794, 267, 972, 7948, 1406, 581, 513, 1732, 1259, 547, 1205, 3323, 269, 0, 6701, 596, 1373, 2922, 1247, 19855, 519, 1357, 888, 2171, 782, 2648, 519, 4950, 269, 898, 2337, 721, 609, 865, 1082, 1919, 267, 899, 5329, 721, 909, 547, 4266, 593, 519, 5767, 3377, 267, 1565, 1945, 1007, 267, 15388, 938, 5172, 1641, 267, 610, 8384, 602, 16168, 3381, 540, 513, 2915, 4730, 609, 513, 1216, 25652, 269, 21894, 596, 798, 593, 519, 4950, 267, 649, 616, 2386, 3354, 568, 835, 540, 707, 1283, 14422, 267, 607, 621, 1058, 581, 563, 1607, 3018, 649, 616, 2469, 547, 979, 936, 930, 540, 519, 12178, 547, 581, 3222, 540, 1247, 17774, 532, 519, 4950, 912, 268, 10226, 307, 4916, 269, 1403, 596, 4076, 2479, 1336, 3054, 10992, 513, 11422, 779, 15745, 547, 1294, 952, 519, 3135, 596, 2461, 1210, 568, 5150, 267, 596, 4076, 2693, 8068, 513, 2370, 9376, 12835, 538, 519, 2232, 3046, 602, 6645, 596, 952, 519, 3135, 596, 616, 1210, 568, 1373, 6039, 909, 936, 15214, 3667, 18734, 16257, 610, 10226, 307, 4916, 585, 2110, 1107, 2495, 602, 789, 723, 513, 4570, 9399, 299, 15149, 547, 2149, 1022, 1239, 1373, 10299, 269, 1403, 596, 616, 2479, 1210, 513, 3135, 602, 1281, 711, 723, 10226, 307, 4916, 610, 952, 621, 3081, 968, 8253, 24344, 892, 538, 519, 15745, 952, 596, 616, 1210, 24904, 267, 596, 949, 1616, 547, 1589, 7466, 827, 10024, 1022, 2123, 1344, 563, 268, 1912, 5109, 269, 1912, 5109, 568, 519, 3801, 547, 2119, 543, 8945, 513, 3593, 883, 4758, 909, 6213, 1344, 269, 1912, 5109, 1085, 4461, 1034, 4122, 2097, 538, 519, 1106, 540, 4757, 24401, 1993, 532, 267, 971, 607, 3843, 547, 791, 3205, 622, 513, 1164, 9043, 2754, 899, 1290, 4751, 610, 3117, 28366, 6052, 267, 10213, 596, 547, 2628, 606, 936, 16746, 3915, 610, 789, 786, 2165, 3729, 707, 3028, 5612, 269, 2480, 27980, 798, 513, 1434, 2816, 540, 1818, 891, 15737, 1413, 11307, 267, 855, 1018, 568, 1034, 1419, 513, 4666, 2285, 12537, 568, 519, 4757, 2232, 602, 621, 3357, 689, 269, 898, 568, 7363, 1360, 2673, 547, 519, 2754, 789, 616, 3843, 547, 791, 3205, 622, 267, 855, 972, 568, 2141, 1945, 1055, 952, 596, 1413, 5702, 269, 589, 1434, 1383, 1131, 581, 952, 596, 4607, 513, 26122, 4757, 689, 513, 1085, 600, 1067, 3843, 547, 1118, 621, 1413, 607, 952, 789, 941, 689, 1290, 4751, 269, 634, 4757, 2232, 786, 1034, 2693, 1413, 1945, 899, 713, 645, 3739, 287, 290, 271, 332, 4751, 338, 2593, 269, 2311, 513, 2656, 16145, 621, 666, 1413, 3833, 20310, 267, 855, 3247, 543, 1413, 585, 513, 2034, 543, 621, 779, 513, 4666, 2285, 12537, 563, 268, 681, 22095, 2264, 269, 681, 22095, 2264, 949, 581, 835, 540, 519, 1085, 2456, 339, 540, 782, 12178, 602, 561, 24642, 593, 519, 4950, 269, 1403, 596, 2461, 14542, 609, 519, 2165, 267, 26030, 2264, 568, 513, 28892, 4323, 602, 17278, 338, 519, 1239, 593, 707, 2780, 543, 6585, 621, 3984, 720, 1107, 14053, 596, 2628, 513, 26030, 538, 1931, 547, 22919, 1569, 547, 707, 3684, 269, 634, 1259, 713, 568, 2944, 568, 7363, 676, 513, 4062, 540, 18453, 1572, 513, 18858, 13568, 269, 634, 1259, 519, 18858, 13568, 4991, 593, 547, 519, 9601, 5904, 568, 7363, 676, 519, 6408, 2933, 16459, 621, 26968, 5944, 269, 18858, 329, 753, 616, 4122, 24320, 2213, 607, 16048, 6119, 269, 4495, 519, 18858, 13568, 4991, 593, 519, 9601, 2780, 267, 621, 1287, 8255, 1018, 568, 1289, 519, 968, 28324, 2903, 892, 799, 3568, 519, 26030, 2264, 269, 4495, 713, 4523, 519, 6408, 779, 2780, 543, 782, 922, 6119, 786, 581, 19526, 2476, 543, 24290, 269, 589, 7008, 2081, 547, 3251, 2922, 689, 26030, 2264, 568, 547, 5781, 9337, 707, 7193, 267, 1685, 6296, 1394, 5725, 540, 707, 1239, 267, 543, 3888, 513, 26030, 3625, 518, 269, 2142, 2523, 6297, 950, 14467, 593, 18537, 267, 6402, 543, 27589, 538, 15737, 607, 1134, 563, 763, 3106, 540, 707, 2780, 543, 1239, 1058, 2141, 581, 513, 3119, 6161, 585, 707, 1870, 269, 18227, 2834, 1394, 5725, 543, 9001, 13128, 10311, 543, 4027, 3301, 786, 979, 513, 1279, 1259, 4724, 7863, 707, 1344, 269, 1656, 952, 596, 723, 1022, 2055, 827, 1368, 8973, 707, 1949, 267, 649, 2461, 2141, 1934, 547, 948, 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 ]

[ 513, 476, 275, 269, 271, 18860, 19218, 267, 1142, 19218, 814, 1079, 23525, 1142, 269, 789, 941, 7199, 543, 1775, 1616, 547, 917, 952, 972, 568, 513, 1259, 1775, 666, 13622, 873, 1927, 547, 1205, 811, 1699, 547, 519, 16509, 952, 865, 1775, 1223, 1205, 476, 1556, 269, 276, 18860, 1775, 1616, 547, 2307, 1354, 1775, 2119, 8220, 873, 1927, 1317, 1775, 1589, 602, 2094, 519, 835, 1698, 568, 8273, 1287, 519, 824, 922, 5279, 786, 6861, 519, 4130, 19218, 563, 15916, 594, 723, 1500, 513, 27307, 16509, 9920, 602, 1568, 1210, 513, 3897, 1067, 6467, 543, 513, 476, 278, 269, 276, 579, 325, 19218, 621, 3096, 476, 8099, 341, 3600, 269, 594, 8068, 950, 519, 16509, 729, 5665, 602, 513, 17689, 602, 729, 4996, 13949, 883, 519, 3774, 729, 31300, 1359, 593, 543, 1055, 1360, 3728, 519, 6467, 593, 519, 17689, 729, 1055, 267, 708, 3478, 3049, 1394, 883, 519, 2777, 269, 594, 723, 519, 1164, 6453, 3977, 1305, 547, 9095, 547, 519, 2942, 12363, 540, 519, 16509, 267, 568, 602, 8380, 3049, 1394, 883, 519, 2777, 952, 865, 875, 666, 1775, 1689, 1250, 1305, 909, 547, 3247, 1164, 6453, 3049, 1394, 267, 519, 17689, 1100, 3476, 1568, 1775, 6836, 513, 1007, 1769, 15941, 267, 922, 22304, 563, 291, 19302, 1699, 689, 6252, 27810, 269, 17677, 6453, 585, 2048, 21468, 24733, 5537, 685, 607, 3254, 538, 519, 2539, 6516, 454, 30524, 8380, 476, 273, 27307, 27810, 538, 6252, 5595, 519, 3977, 1699, 610, 519, 3977, 6453, 888, 2791, 949, 581, 2111, 547, 1205, 2582, 31168, 952, 596, 666, 2046, 543, 5305, 707, 6467, 3728, 2614, 269, 898, 1131, 581, 7168, 2653, 547, 6633, 856, 707, 476, 273, 333, 25134, 276, 779, 899, 602, 1498, 563, 2005, 568, 11207, 4096, 656, 2390, 707, 13907, 25317, 269, 1411, 666, 5173, 519, 1699, 1210, 19315, 916, 1876, 563, 7804, 1516, 513, 1455, 12718, 1826, 27307, 16509, 693, 922, 22298, 4908, 689, 476, 1321, 309, 786, 6093, 344, 2721, 827, 476, 276, 993, 1186, 563, 5976, 476, 1321, 341, 546, 322, 875, 1454, 1699, 538, 993, 1186, 568, 2016, 607, 3403, 547, 713, 27307, 16509, 9920, 888, 302, 10798, 519, 5547, 568, 5609, 921, 679, 690, 7795, 855, 585, 519, 5365, 1223, 594, 1175, 946, 513, 6467, 543, 513, 1507, 2179, 540, 1379, 547, 9594, 519, 8141, 1287, 1310, 602, 1628, 519, 476, 27898, 5547, 7790, 744, 1492, 518, 982, 602, 594, 3580, 2322, 621, 593, 513, 13526, 4604, 543, 594, 1589, 621, 786, 960, 563, 763, 14724, 1259, 547, 1205, 9823, 568, 547, 1921, 513, 1164, 6453, 26534, 538, 3126, 609, 519, 3977, 563, 8794, 513, 1379, 13942, 1110, 15975, 1305, 547, 1164, 4908, 543, 609, 513, 5347, 532, 19218, 538, 6252, 609, 519, 3977, 786, 4196, 607, 606, 28253, 6467, 7154, 1379, 3761, 563, 6011, 666, 1775, 1205, 513, 9823, 22671, 3977, 689, 713, 27307, 16509, 9920, 286, 604, 2009, 5225, 1683, 803, 513, 5547, 269, 4517, 849, 5225, 1683, 803, 513, 476, 271, 268, 1789, 341, 476, 274, 10102, 4756, 2241, 1970, 1942, 546, 322, 1379, 3761, 1770, 5547, 6516, 585, 1250, 6901, 563, 8253, 2047, 269, 2859, 3403, 1379, 786, 2285, 3476, 31168, 607, 1279, 607, 621, 568, 711, 24906, 538, 519, 5547, 12341, 563, 19102, 2084, 519, 6453, 4294, 547, 519, 27307, 16509, 530, 961, 331, 1611, 602, 621, 786, 2721, 811, 1699, 267, 855, 621, 1223, 1175, 581, 24906, 952, 519, 4295, 568, 3587, 15459, 630, 4754, 1406, 2270, 1022, 811, 6419, 13441, 1916, 3674, 811, 1699, 689, 1379, 647, 2952, 1797, 3476, 31168, 630, 827, 476, 1240, 610, 476, 2190, 2549, 1186, 3738, 286, 594, 786, 946, 621, 547, 1379, 23592, 3213, 559, 563, 8133, 596, 666, 269, 1411, 949, 991, 547, 4188, 519, 2418, 540, 25846, 272, 547, 1732, 6474, 707, 16509, 563, 4754, 594, 946, 713, 5547, 547, 5397, 27307, 16509, 630, 609, 454, 13612, 272, 543, 26534, 585, 7863, 476, 273, 333, 25134, 276, 3738, 268, 547, 723, 835, 6007, 585, 14251, 1807, 543, 547, 723, 606, 824, 585, 15632, 16509, 888, 763, 1379, 547, 519, 27307, 16509, 2115, 547, 581, 23564, 593, 543, 1055, 14578, 269, 1635, 7311, 513, 4009, 5951, 5365, 689, 513, 5365, 11718, 267, 519, 27820, 786, 6467, 519, 1804, 14768, 585, 519, 27810, 593, 543, 1055, 538, 942, 609, 519, 5365, 563, 288, 1455, 5365, 2707, 568, 1759, 593, 513, 476, 27898, 22245, 899, 713, 18789, 5365, 11718, 563, 2791, 666, 849, 4444, 971, 513, 5547, 609, 519, 5365, 11718, 267, 1379, 24923, 543, 3773, 23644, 4027, 538, 938, 15536, 27989, 6300, 563, 7717, 787, 547, 2307, 713, 855, 1775, 993, 1360, 1007, 693, 713, 865, 1934, 1775, 979, 269, 1775, 1175, 530, 13860, 917, 1018, 568, 519, 3403, 5365, 585, 593, 570, 272, 543, 1018, 798, 596, 13622, 621, 909, 547, 888, 763, 3897, 1067, 5547, 568, 3908, 547, 513, 1970, 4908, 25244, 540, 519, 1292, 338, 4908, 563, 2791, 786, 991, 513, 5547, 2966, 585, 2362, 12451, 952, 713, 568, 1018, 596, 991, 563, 5978, 5295, 17240, 572, 3525, 15975, 786, 5397, 8038, 3724, 267, 27307, 27810, 543, 3592, 4376, 3116, 269, 634, 4908, 568, 28253, 865, 596, 666, 1305, 621, 547, 8726, 1568, 1655, 563, 15916, 1775, 2972, 630, 339, 11538, 264, 547, 1118, 782, 5686, 540, 1164, 6453, 3457, 1250, 2063, 729, 519, 3897, 1067, 19218, 543, 27307, 16509, 267, 1018, 1775, 4941, 547, 917, 568, 1223, 1775, 946, 519, 1482, 5547, 1775, 1031, 547, 1379, 519, 27307, 16509, 547, 1379, 513, 26850, 3724, 22155, 286, 610, 568, 972, 513, 630, 854, 2241, 5547, 264, 1775, 1223, 1118, 547, 1379, 519, 8038, 3724, 1775, 1616, 547, 723, 1164, 4908, 5201, 1775, 666, 25722, 1205, 602, 689, 606, 27307, 16509, 8796, 628, 3471, 454, 2791, 3100, 547, 581, 7508, 519, 1448, 269, 4658, 616, 1934, 543, 6998, 2055, 865, 789, 666, 1451, 1007, 1919, 269, 21518, 596, 11214, 4535, 609, 519, 1702, 596, 723, 888, 763, 476, 273, 333, 25134, 276, 2115, 513, 6949, 762, 1699, 585, 621, 547, 6467, 269, 9521, 513, 631, 5308, 293, 4953, 267, 891, 1419, 991, 811, 1699, 982, 606, 15096, 630, 3697, 513, 476, 27898, 264, 666, 3761, 563, 3963, 798, 649, 991, 840, 268, 600, 680, 4328, 24923, 286, 645, 293, 312, 7906, 286, 1946, 649, 18085, 1175, 6494, 5365, 2047, 547, 519, 476, 273, 333, 25134, 276, 888, 296, 3913, 819, 27810, 786, 711, 2097, 2673, 547, 519, 1379, 3977, 540, 707, 715, 4306, 269, 1358, 798, 711, 723, 1022, 1699, 12145, 3710, 538, 269, 898, 568, 1455, 547, 5397, 873, 998, 513, 1804, 1379, 19919, 540, 513, 1906, 19315, 916, 563, 2690, 513, 6070, 4248, 1698, 519, 1216, 2115, 547, 581, 15459, 609, 6070, 630, 7224, 811, 786, 23271, 1040, 4746, 2057, 26459, 607, 519, 1528, 3941, 607, 519, 6070, 1216, 786, 2014, 873, 547, 12444, 1047, 593, 519, 2627, 543, 2285, 4057, 19428, 563, 2791, 666, 1265, 519, 22671, 11503, 543, 16674, 669, 10280, 593, 552, 29074, 563, 296, 723, 513, 19440, 1129, 22155, 15951, 693, 476, 5611, 876, 24311, 693, 476, 1789, 1984, 10102, 1775, 946, 621, 585, 513, 23592, 3213, 559, 267, 529, 519, 1699, 540, 476, 273, 27307, 27810, 538, 6252, 2673, 547, 610, 2362, 1287, 476, 1789, 1984, 10102, 286, 18338, 1131, 960, 1732, 585, 519, 570, 290, 286, 594, 1616, 547, 946, 519, 27307, 27810, 865, 1775, 1810, 25722, 723, 3441, 547, 519, 715, 4306, 267, 10193, 1250, 7167, 659, 3218, 568, 513, 6070, 1216, 19218, 621, 1568, 14605, 875, 1223, 1775, 1118, 513, 1732, 1698, 610, 4444, 3283, 602, 1131, 960, 29845, 2710, 27307, 27810, 723, 1699, 12145, 899, 513, 715, 4306, 286, 798, 596, 917, 1141, 1775, 1223, 1205, 16674, 669, 10280, 547, 2149, 1250, 3026, 517, 1129, 17992, 518, 286, 11289, 596, 1360, 1454, 563, 2005, 779, 519, 3063, 1164, 28696, 543, 4881, 27810, 609, 1100, 4452, 630, 333, 5847, 593, 519, 3977, 540, 519, 16509, 264, 602, 5012, 547, 3111, 328, 675, 269, 1879, 519, 6453, 568, 1360, 1164, 543, 972, 568, 1100, 4452, 1140, 520, 3481, 267, 519, 4835, 13471, 666, 2736, 1524, 3056, 547, 513, 2110, 5547, 269, 13813, 4904, 27810, 949, 2063, 513, 2370, 3476, 1317, 519, 3282, 6411, 607, 513, 2048, 1345, 7067, 685, 30526, 267, 855, 519, 2773, 786, 5909, 534, 569, 31358, 936, 942, 563, 763, 8445, 3977, 6453, 596, 666, 1205, 689, 513, 16509, 568, 5462, 676, 519, 3403, 6453, 543, 519, 2557, 540, 1689, 540, 10826, 660, 630, 323, 296, 7933, 339, 1040, 4595, 519, 3897, 1067, 814, 2698, 1852, 936, 546, 296, 7933, 339, 543, 519, 3403, 6453, 568, 2141, 693, 1292, 338, 1377, 972, 568, 711, 1454, 596, 666, 798, 563, 2252, 513, 9823, 3977, 568, 21453, 267, 1287, 596, 1223, 946, 519, 27307, 16509, 547, 5397, 513, 6453, 12750, 1512, 585, 2799, 6453, 563, 15916, 1772, 972, 513, 1259, 547, 13622, 909, 1250, 27810, 547, 1205, 811, 6453, 602, 4465, 25722, 3441, 519, 27810, 286, 2094, 4550, 1612, 1537, 548, 331, 30001, 519, 27810, 5555, 267, 263, 12552, 585, 10213, 803, 602, 1040, 634, 5547, 708, 1210, 1568, 593, 3600, 267, 328, 1131, 899, 547, 946, 667, 322, 855, 922, 547, 1950, 585, 803, 267, 543, 9684, 596, 585, 519, 1612, 1537, 548, 331, 6516, 621, 1568, 1434, 585, 811, 1699, 563, 2791, 786, 991, 547, 1921, 27307, 27810, 538, 1612, 1537, 548, 331, 585, 811, 1699, 269, 6423, 713, 2022, 563, 763, 3119, 19218, 538, 513, 570, 290, 568, 1898, 607, 922, 1871, 11887, 519, 22298, 4908, 540, 519, 1062, 563, 296, 723, 513, 2243, 708, 2469, 547, 946, 476, 273, 27307, 27810, 538, 3126, 585, 811, 1699, 547, 1379, 513, 512, 525, 5055, 16509, 267, 2094, 519, 27307, 27810, 960, 593, 4009, 6329, 543, 519, 6281, 540, 519, 27810, 2490, 593, 543, 1055, 1082, 2053, 513, 2034, 789, 2907, 723, 513, 8375, 543, 2458, 2355, 532, 2361, 865, 1131, 1775, 1869, 991, 513, 1164, 6453, 19218, 4448, 538, 519, 3119, 524, 545, 3726, 540, 519, 512, 525, 5055, 16509, 888, 8794, 713, 5547, 609, 513, 19218, 540, 827, 476, 272, 340, 293, 585, 595, 272, 786, 2285, 9823, 20512, 1169, 2034, 610, 865, 269, 1677, 2057, 2893, 584, 908, 519, 22155, 4295, 596, 1131, 991, 547, 1305, 519, 13942, 8700, 1360, 1970, 676, 14577, 15283, 273, 563, 288, 2879, 889, 828, 5547, 540, 930, 4990, 1131, 4440, 581, 2877, 547, 3247, 1164, 6453, 26389, 14124, 519, 594, 12336, 269, 3807, 11093, 513, 19218, 2066, 519, 27810, 3403, 23525, 1131, 948, 855, 621, 1131, 849, 2569, 519, 3977, 6453, 676, 513, 1507, 2179, 563, 328, 23507, 707, 960, 543, 707, 1702, 269, 1924, 602, 5012, 803, 547, 2307, 596, 707, 5796, 593, 2679, 513, 476, 277, 18699, 3167, 535, 27247, 1210, 513, 476, 277, 18699, 1286, 16509, 29679, 6897, 13324, 547, 1832, 519, 6007, 9901, 267, 1210, 683, 27898, 22245, 267, 25134, 276, 27820, 269, 1775, 729, 11842, 952, 596, 1185, 1022, 2093, 585, 24421, 532, 519, 16509, 7157, 888, 763, 3830, 596, 2446, 568, 585, 513, 3501, 1802, 2758, 269, 901, 1797, 602, 621, 1131, 723, 1100, 4187, 543, 1100, 31887, 269, 1703, 568, 3274, 1100, 971, 3364, 538, 1022, 1316, 13519, 331, 2631, 563, 7312, 2243, 827, 513, 3020, 4009, 5951, 4929, 519, 6453, 547, 4473, 547, 20581, 568, 513, 1434, 835, 269, 901, 1131, 581, 3020, 952, 621, 941, 2009, 547, 14678, 3247, 519, 10826, 660, 13576, 538, 519, 1802, 2758, 267, 855, 1317, 540, 1896, 2188, 267, 713, 666, 711, 4755, 563, 763, 5911, 602, 2306, 519, 16509, 15069, 814, 930, 4187, 267, 855, 713, 568, 711, 938, 1292, 6161, 1317, 649, 782, 2819, 917, 602, 21367, 832, 2348, 4642, 4187, 616, 2009, 269, 32114, 649, 723, 17515, 782, 4187, 689, 519, 16509, 267, 649, 616, 1631, 2451, 609, 32366, 766, 543, 519, 1582, 31887, 540, 519, 16509, 269, 634, 1582, 31887, 568, 513, 1587, 540, 519, 694, 704, 622, 16509, 2842, 902, 543, 519, 6453, 3017, 1063, 873, 269, 901, 31887, 568, 1152, 1360, 1507, 267, 855, 621, 568, 7899, 2614, 547, 2061, 519, 6453, 8375, 547, 20581, 269, 589, 19218, 814, 606, 2404, 942, 3586, 799, 1797, 621, 786, 1491, 513, 13113, 2179, 540, 942, 547, 5279, 610, 11166, 269, 901, 11151, 1022, 8216, 1689, 540, 1699, 538, 519, 16509, 543, 4061, 7182, 519, 6453, 4473, 3812, 563, 763, 3977, 12911, 720, 568, 2301, 762, 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 ]

[ 290, 268, 476, 27898, 332, 454, 291, 268, 476, 31746, 276, 332, 692, 9172, 692, 304, 269, 2190, 1215, 1454, 476, 866, 5215, 1341, 476, 866, 7366, 1341, 476, 866, 3283, 269, 568, 7042, 288, 268, 476, 20385, 866, 454, 289, 268, 476, 1960, 866, 454, 290, 268, 476, 4489, 280, 866, 454, 291, 268, 476, 13975, 3445, 692, 304, 1839, 1215, 1082, 476, 272, 270, 279, 616, 538, 476, 272, 270, 273, 26042, 288, 268, 273, 454, 289, 268, 476, 275, 454, 290, 268, 476, 279, 454, 291, 268, 476, 1626, 692, 12585, 1883, 15618, 269, 5901, 6250, 1746, 1684, 596, 6145, 713, 1344, 7490, 2671, 547, 2828, 543, 11884, 8292, 585, 6454, 4930, 1547, 0, 258, 20943, 2045, 1648, 540, 6676, 23033, 9582, 1966, 692, 272, 269, 3057, 476, 275, 267, 476, 1001, 278, 692, 2162, 554, 526, 531, 4821, 692, 272, 269, 634, 1966, 3948, 267, 782, 4632, 543, 2016, 270, 4385, 1239, 454, 3080, 1198, 540, 6676, 23033, 9582, 568, 602, 519, 3345, 1977, 18626, 6676, 7575, 2066, 519, 3047, 779, 2627, 693, 513, 3432, 540, 827, 476, 272, 269, 1428, 4699, 270, 10455, 269, 634, 3345, 1977, 6676, 814, 606, 1858, 540, 827, 476, 3374, 2929, 4009, 12919, 267, 606, 3328, 11098, 540, 827, 476, 1839, 5998, 267, 543, 513, 5860, 540, 827, 476, 274, 575, 270, 764, 269, 1548, 568, 519, 15452, 1648, 2404, 609, 713, 3350, 2496, 273, 269, 31999, 4834, 454, 271, 269, 276, 332, 341, 273, 692, 274, 269, 634, 3801, 693, 513, 3070, 454, 14179, 2541, 284, 19327, 265, 628, 32169, 454, 14179, 2541, 284, 476, 3374, 2608, 11820, 2608, 476, 7742, 876, 815, 476, 279, 269, 4037, 2608, 6200, 275, 544, 274, 454, 323, 3748, 815, 274, 575, 270, 764, 815, 476, 4968, 271, 4846, 8276, 274, 454, 767, 6290, 284, 476, 272, 269, 1428, 9492, 270, 10455, 815, 476, 274, 269, 7597, 278, 265, 1015, 268, 1015, 544, 4882, 692, 21346, 815, 5860, 2608, 4320, 454, 21346, 284, 476, 279, 269, 4037, 2608, 6200, 275, 544, 274, 2608, 476, 4968, 271, 4846, 8276, 274, 454, 21346, 815, 476, 273, 269, 27698, 2608, 476, 6200, 279, 4846, 692, 7219, 2045, 1648, 815, 476, 271, 269, 276, 332, 341, 273, 454, 271, 269, 276, 2608, 476, 273, 269, 27698, 2608, 476, 6200, 279, 2608, 630, 274, 269, 7597, 278, 265, 1015, 268, 1015, 264, 273, 454, 284, 476, 271, 269, 9692, 808, 537, 956, 454, 7069, 2626, 568, 6825, 4636, 855, 1018, 781, 4636, 609, 621, 2496, 273, 269, 3057, 476, 275, 267, 476, 1001, 278, 692, 2162, 16065, 281, 22895, 528, 692, 13425, 707, 7503, 689, 4009, 12919, 547, 4009, 7397, 585, 519, 1858, 780, 274, 269, 3057, 476, 275, 267, 476, 1001, 278, 0, 15507, 513, 1297, 454, 30130, 6924, 272, 568, 513, 6305, 1297, 454, 26015, 11847, 19948, 454, 16535, 6200, 9826, 6200, 6200, 18733, 1822, 272, 454, 24374, 13975, 22903, 28512, 273, 454, 30329, 31648, 23417, 4905, 454, 276, 6078, 31979, 21076, 454, 277, 1556, 14631, 31746, 454, 278, 2918, 21854, 6860, 454, 24934, 11277, 30444, 272, 454, 4817, 278, 6187, 273, 276, 454, 9818, 275, 1626, 10037, 454, 12208, 15389, 279, 320, 454, 13199, 3393, 279, 4817, 454, 1724, 25900, 277, 320, 273, 454, 16825, 322, 10463, 321, 454, 14444, 321, 4343, 321, 454, 28411, 276, 3607, 321, 272, 692, 30130, 6924, 272, 814, 476, 273, 16975, 267, 4171, 2040, 568, 21566, 815, 476, 30130, 6924, 273, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 30130, 27151, 780, 763, 3105, 6305, 568, 476, 30130, 4792, 280, 269, 634, 1985, 6305, 568, 476, 30130, 6924, 278, 269, 634, 30729, 540, 476, 30130, 6924, 272, 568, 476, 5908, 16960, 780, 2005, 568, 513, 2178, 6305, 780, 2005, 666, 581, 2854, 607, 513, 2040, 540, 2318, 10945, 538, 1152, 835, 1259, 267, 1775, 4318, 1421, 476, 30130, 4962, 277, 1341, 476, 27698, 815, 476, 6812, 275, 317, 273, 1341, 476, 1839, 317, 273, 16317, 2005, 568, 513, 28023, 1297, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 30130, 6924, 272, 910, 476, 2918, 815, 476, 30130, 277, 1704, 568, 513, 6305, 780, 2005, 568, 513, 2706, 268, 273, 1297, 267, 2094, 476, 273, 9943, 30130, 6924, 272, 273, 815, 476, 22001, 5392, 272, 279, 1556, 276, 2420, 267, 799, 3568, 476, 2420, 607, 10799, 532, 780, 2005, 568, 606, 14455, 17026, 622, 1297, 267, 2094, 621, 1281, 711, 2291, 513, 1297, 562, 799, 5258, 676, 922, 2040, 540, 9704, 3947, 476, 30130, 6924, 272, 780, 2005, 568, 711, 513, 4617, 569, 6305, 267, 1317, 621, 666, 581, 4957, 883, 1776, 6305, 630, 30130, 6924, 278, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 12077, 267, 476, 10204, 279, 2412, 1341, 476, 10204, 279, 6078, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 10204, 279, 6078, 6393, 23056, 12739, 272, 568, 606, 3284, 32565, 1297, 780, 2005, 568, 606, 21443, 762, 1297, 780, 30130, 6924, 272, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 272, 6393, 30130, 6924, 272, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 30130, 6924, 272, 568, 606, 9409, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 1256, 780, 763, 1587, 540, 922, 9704, 568, 476, 6872, 277, 267, 1247, 519, 2040, 568, 476, 2537, 780, 763, 4009, 3597, 540, 476, 30130, 6924, 272, 568, 827, 476, 6812, 275, 269, 276, 4097, 5952, 278, 279, 1691, 274, 269, 634, 12945, 3597, 540, 476, 30130, 6924, 272, 568, 827, 476, 7597, 269, 280, 1015, 14444, 279, 5379, 280, 780, 2005, 666, 581, 5258, 538, 1079, 2694, 267, 476, 30130, 543, 476, 6924, 272, 267, 602, 16611, 1927, 2285, 513, 21083, 1297, 630, 22446, 21854, 815, 570, 6924, 272, 6393, 763, 10259, 540, 476, 30130, 6924, 272, 538, 1913, 568, 834, 22764, 4627, 17288, 14633, 8536, 267, 3670, 4627, 32210, 14633, 2668, 0, 1012, 23586, 4542, 692, 763, 7503, 3815, 689, 25418, 547, 5195, 829, 5662, 568, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 267, 799, 1797, 602, 476, 272, 24516, 568, 3160, 547, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 5195, 829, 5662, 1384, 272, 737, 339, 815, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 2414, 6460, 476, 280, 1704, 25418, 883, 5195, 829, 5662, 649, 723, 547, 9062, 476, 280, 1704, 676, 519, 7503, 3815, 538, 1931, 547, 1205, 519, 6991, 2179, 689, 25418, 547, 5195, 829, 5662, 269, 1284, 666, 849, 1106, 513, 2241, 8167, 547, 5173, 519, 1267, 1384, 272, 737, 339, 9890, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 280, 1704, 737, 339, 9890, 966, 9852, 874, 2020, 24169, 519, 1657, 8167, 547, 3489, 519, 6991, 966, 538, 5195, 829, 5662, 1384, 309, 9852, 874, 264, 815, 476, 280, 1704, 737, 339, 6398, 476, 272, 269, 5611, 6507, 280, 275, 4366, 28873, 276, 18890, 692, 309, 9852, 874, 264, 815, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 18890, 692, 763, 3803, 1267, 568, 1384, 280, 1704, 737, 339, 9890, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 18890, 692, 2171, 9959, 602, 476, 280, 1704, 25418, 568, 6697, 547, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 5195, 829, 5662, 1384, 280, 1704, 25418, 815, 476, 10755, 276, 269, 25784, 4037, 274, 279, 3607, 278, 5195, 829, 5662, 692, 1012, 20010, 7503, 692, 2171, 666, 849, 6460, 676, 9001, 519, 11201, 1871, 540, 519, 7503, 3815, 269, 769, 713, 2013, 476, 272, 13304, 829, 5662, 568, 3160, 547, 476, 271, 269, 1822, 280, 5325, 277, 3066, 4366, 280, 276, 3953, 277, 6398, 476, 280, 1704, 25418, 780, 5194, 1259, 568, 6031, 602, 476, 280, 1704, 25418, 568, 3160, 547, 476, 272, 21680, 476, 271, 269, 1822, 280, 5325, 277, 3066, 4366, 280, 276, 3953, 277, 5195, 829, 5662, 780, 1012, 20976, 1493, 1267, 692, 2690, 4052, 5301, 649, 666, 5180, 938, 3803, 1267, 547, 606, 16977, 10230, 1871, 269, 1284, 666, 2161, 602, 8370, 4627, 11157, 8696, 25418, 568, 5111, 835, 8536, 15823, 19317, 1448, 1079, 3670, 2947, 5195, 829, 5662, 1384, 280, 1704, 737, 339, 9881, 483, 476, 10755, 276, 269, 25228, 18890, 692, 2304, 4244, 568, 849, 602, 835, 13304, 829, 5662, 568, 5111, 4642, 1448, 4642, 4642, 835, 2053, 8370, 4627, 11157, 8696, 25418, 780, 1012, 23586, 3349, 692, 2162, 25418, 547, 5195, 829, 5662, 5750, 692, 2690, 2656, 4704, 5301, 267, 2630, 568, 519, 7503, 3349, 596, 666, 946, 547, 6460, 689, 25418, 547, 5195, 829, 5662, 692, 30893, 1824, 630, 19241, 264, 5195, 829, 5662, 630, 332, 874, 994, 280, 1240, 25418, 476, 10755, 277, 269, 275, 1626, 5195, 829, 5662, 454, 280, 866, 25418, 476, 10755, 278, 269, 276, 5780, 5195, 829, 5662, 454, 280, 736, 25418, 476, 10755, 279, 269, 278, 1704, 5195, 829, 5662, 454, 280, 2641, 25418, 476, 10755, 280, 269, 279, 6924, 5195, 829, 5662, 454, 280, 2420, 25418, 476, 11793, 272, 269, 25171, 5195, 829, 5662, 454, 280, 2537, 25418, 476, 11793, 273, 269, 15433, 5195, 829, 5662, 454, 280, 2190, 25418, 476, 11793, 274, 269, 3953, 5195, 829, 5662, 454, 280, 1839, 25418, 476, 11793, 275, 269, 5325, 272, 5195, 829, 5662, 454, 280, 2918, 25418, 476, 11793, 276, 269, 25118, 5195, 829, 5662, 454, 280, 2767, 25418, 476, 11793, 277, 269, 6507, 274, 5195, 829, 5662, 0, 9943, 454, 7476, 9509, 7457, 547, 16504, 27018, 12307, 1656, 21940, 776, 10025, 10819, 910, 476, 1015, 9990, 910, 3848, 476, 1015, 269, 276, 910, 9046, 476, 277, 454, 7476, 9509, 7457, 547, 16504, 27018, 12307, 1656, 21940, 776, 10025, 10819, 910, 476, 1015, 9990, 910, 3848, 476, 1015, 269, 276, 910, 9046, 476, 277, 692, 9943, 692, 258, 5192, 2626, 281, 769, 1142, 540, 476, 272, 998, 476, 277, 267, 3313, 2436, 519, 1505, 540, 9668, 540, 692, 25835, 281, 476, 7818, 271, 5325, 271, 3393, 279, 4029, 271, 476, 12739, 692, 1012, 8827, 585, 1966, 476, 277, 3848, 476, 1015, 269, 276, 692, 292, 11915, 27018, 12307, 543, 21940, 776, 10025, 10819, 1923, 476, 1015, 628, 9990, 692, 1892, 30930, 10298, 454, 1892, 476, 23310, 272, 5153, 8386, 9912, 3435, 12193, 676, 20485, 543, 1641, 4966, 454, 1892, 5192, 476, 2190, 270, 278, 948, 689, 5530, 306, 19281, 5691, 3450, 20843, 692, 292, 11915, 27018, 12307, 543, 21940, 776, 10025, 10819, 1923, 476, 1015, 628, 9990, 692, 275, 476, 276, 476, 272, 476, 25002, 17352, 454, 1724, 454, 273, 454, 19370, 476, 277, 692, 1103, 1142, 540, 476, 272, 998, 476, 277, 267, 3313, 2436, 519, 1505, 540, 9668, 540, 4632, 666, 581, 1031, 547, 5372, 519, 2016, 9864, 11186, 3830, 676, 513, 6292, 540, 8723, 11186, 4834, 269, 1403, 865, 267, 1265, 519, 4834, 269, 5060, 343, 1341, 579, 344, 344, 1341, 1535, 340, 815, 476, 271, 692, 3721, 8386, 28157, 8827, 912, 3721, 476, 272, 540, 476, 274, 692, 12385, 4631, 681, 9128, 1341, 681, 3918, 293, 13723, 267, 5181, 476, 278, 267, 476, 1001, 277, 476, 274, 281, 5881, 6751, 5623, 9046, 1210, 21714, 26332, 1588, 543, 7982, 1189, 15240, 3191, 910, 273, 476, 277, 910, 275, 910, 277, 910, 275, 476, 1428, 910, 273, 476, 271, 476, 276, 910, 280, 476, 2190, 476, 3393, 5457, 585, 21714, 26332, 1588, 267, 519, 3804, 568, 547, 2322, 519, 5119, 538, 681, 9128, 1677, 798, 713, 267, 1118, 519, 1101, 11664, 540, 519, 1101, 4737, 815, 476, 272, 676, 14921, 676, 910, 476, 272, 270, 273, 1715, 19336, 476, 272, 910, 274, 476, 273, 476, 274, 910, 275, 476, 1428, 910, 273, 476, 271, 476, 276, 910, 280, 476, 2190, 476, 3393, 8921, 1118, 782, 519, 2338, 18284, 519, 476, 272, 649, 1175, 1500, 883, 21325, 269, 901, 568, 2944, 676, 14921, 519, 1101, 4737, 543, 4946, 621, 547, 1776, 4737, 476, 275, 305, 272, 1341, 681, 273, 476, 275, 910, 1321, 476, 279, 476, 1321, 1715, 19336, 476, 272, 910, 274, 476, 273, 476, 274, 476, 271, 476, 274, 476, 277, 476, 1321, 476, 276, 910, 280, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 692, 258, 22958, 518, 552, 329, 6374, 334, 632, 635, 334, 11281, 3611, 657, 679, 19448, 9184, 5055, 13483, 331, 692, 339, 629, 5055, 306, 27942, 815, 27835, 333, 558, 3691, 9166, 262, 303, 539, 549, 3299, 1412, 777, 749, 18480, 9166, 262, 1412, 2073, 1412, 539, 611, 9166, 6321, 267, 1412, 857, 644, 611, 9166, 262, 309, 3218, 807, 262, 10926, 992, 815, 11713, 1721, 1883, 538, 9184, 5055, 306, 27942, 912, 825, 4737, 6910, 6025, 629, 5055, 306, 27942, 314, 4486, 7481, 2745, 21405, 2020, 935, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 32220, 11907, 7933, 520, 657, 6155, 321, 17210, 322, 815, 598, 333, 269, 19387, 10797, 258, 23453, 513, 4737, 540, 1239, 692, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 1268, 553, 966, 3201, 308, 2464, 630, 301, 26097, 267, 29845, 29845, 29845, 24047, 2580, 4737, 994, 935, 333, 2593, 2466, 30800, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 2260, 270, 692, 258, 306, 1122, 1495, 334, 552, 329, 6374, 334, 632, 1212, 541, 9184, 5055, 552, 1593, 322, 597, 3611, 657, 632, 1106, 320, 678, 5451, 3671, 320, 780, 338, 27942, 6958, 559, 916, 815, 13634, 257, 17138, 9899, 257, 289, 520, 2006, 20350, 257, 17413, 9899, 257, 2735, 280, 20350, 257, 305, 730, 9899, 257, 22333, 268, 1724, 20350, 257, 3725, 548, 1078, 9899, 257, 2537, 9947, 476, 2735, 280, 20350, 257, 305, 29025, 9899, 257, 14695, 1295, 20350, 257, 7049, 516, 9899, 257, 288, 794, 267, 23874, 20350, 257, 17445, 528, 9899, 257, 20755, 8738, 2023, 20350, 257, 310, 31581, 9899, 257, 7692, 918, 2033, 289, 520, 2006, 3197, 20350, 21202, 4701, 9899, 257, 28061, 3223, 26293, 20350, 257, 5522, 582, 9899, 257, 763, 14730, 26427, 540, 717, 1054, 600, 4975, 5956, 1010, 2112, 593, 6760, 609, 1010, 1101, 2101, 10546, 1373, 519, 804, 1144, 880, 569, 4630, 20141, 808, 20269, 1701, 2676, 257, 23458, 9899, 257, 12626, 267, 3943, 267, 5053, 20350, 257, 15575, 787, 9899, 257, 24433, 267, 5177, 20350, 21202, 2072, 9899, 257, 310, 517, 476, 272, 30546, 269, 6271, 476, 279, 17993, 1299, 476, 2918, 9930, 5209, 1701, 2676, 257, 8070, 518, 9899, 257, 10059, 2517, 332, 6230, 4215, 268, 600, 7571, 2593, 270, 30502, 19072, 19072, 309, 276, 13696, 31159, 342, 301, 329, 288, 344, 7495, 296, 344, 300, 293, 276, 13696, 331, 276, 289, 534, 289, 333, 311, 330, 293, 339, 313, 31159, 342, 301, 19699, 342, 13270, 330, 273, 11519, 309, 272, 318, 306, 311, 4968, 27970, 20350, 257, 305, 520, 902, 9899, 257, 25542, 28414, 18482, 20350, 257, 13126, 9899, 257, 18404, 659, 26578, 20350, 257, 18404, 2444, 648, 9899, 257, 7597, 20350, 257, 574, 27219, 305, 908, 9899, 257, 278, 269, 276, 20350, 257, 574, 27219, 309, 4925, 9899, 257, 27088, 267, 276, 2190, 20350, 257, 574, 27219, 2839, 9899, 257, 1777, 27947, 6924, 280, 276, 20350, 257, 13911, 9899, 257, 332, 990, 773, 20350, 257, 291, 13748, 9899, 257, 1839, 3057, 476, 1960, 278, 20350, 257, 26213, 19423, 823, 9899, 257, 301, 12458, 20350, 257, 303, 3174, 9899, 257, 23219, 1676, 645, 4592, 269, 24436, 20350, 20442, 2125, 924, 9899, 257, 301, 12458, 20350, 257, 25215, 2945, 9899, 257, 12148, 257, 10926, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 692, 258, 306, 597, 557, 16948, 1212, 541, 19448, 9184, 5055, 964, 1372, 524, 3266, 679, 19448, 3490, 632, 3611, 657, 586, 320, 1212, 3385, 780, 12399, 815, 11713, 1721, 1883, 538, 13483, 331, 6958, 559, 916, 912, 825, 10569, 6910, 31107, 2020, 322, 815, 598, 333, 269, 19387, 10797, 258, 23453, 513, 4737, 540, 1239, 454, 1721, 1883, 538, 10569, 912, 825, 524, 20216, 31146, 2891, 3201, 9898, 570, 21764, 10652, 10306, 553, 5084, 291, 23333, 9331, 301, 15079, 2668, 8971, 31107, 4917, 935, 333, 2593, 2466, 10797, 258, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 26630, 270, 692, 992, 815, 11713, 258, 11184, 557, 16948, 882, 6352, 541, 19448, 9184, 5055, 632, 3611, 657, 13483, 331, 454, 1721, 1883, 538, 13483, 331, 6958, 559, 916, 912, 825, 4737, 6910, 4433, 27942, 6958, 559, 916, 314, 4486, 7481, 2745, 21405, 2020, 322, 20216, 31146, 2891, 27486, 12224, 5442, 15674, 10652, 10306, 553, 966, 3201, 308, 2464, 630, 301, 26097, 267, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 29845, 24047, 2580, 4737, 994, 935, 333, 2593, 2466, 4590, 935, 333, 25379, 4590, 0, 258, 27273, 692, 258, 1362, 589, 10031, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 1820, 3488, 514, 1362, 513, 5073, 258, 1363, 1582, 269, 12534, 272, 815, 476, 1911, 454, 258, 1362, 645, 10490, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 2706, 14061, 1029, 8181, 1029, 4590, 258, 1363, 1820, 2891, 514, 1362, 536, 5602, 258, 1362, 595, 16360, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 2187, 258, 1363, 2706, 10490, 267, 1345, 1040, 1029, 8181, 1029, 4590, 258, 1363, 1582, 269, 12534, 273, 815, 1582, 269, 12534, 272, 1341, 476, 272, 19638, 692, 258, 3438, 1807, 328, 24140, 804, 848, 692, 258, 1362, 3733, 4504, 17301, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 15893, 2187, 258, 1363, 2706, 263, 7069, 4504, 267, 1345, 1040, 1029, 8181, 1029, 4590, 258, 1363, 1582, 8542, 3784, 284, 15893, 454, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 16482, 258, 1363, 1297, 8217, 815, 1496, 328, 585, 1775, 538, 2039, 4311, 8542, 3784, 1341, 476, 272, 22708, 258, 1363, 12055, 5334, 15036, 815, 594, 614, 272, 28840, 8217, 994, 258, 1363, 2132, 12055, 5334, 15036, 454, 16482, 258, 1362, 3733, 21803, 19304, 2187, 16482, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 6318, 3502, 25363, 7757, 19638, 19638, 692, 16482, 258, 1362, 594, 614, 272, 10031, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 3240, 8217, 281, 1592, 2187, 258, 1363, 1582, 269, 3240, 8217, 815, 1250, 8217, 454, 16482, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 2132, 1582, 454, 258, 672, 1219, 6449, 10113, 9191, 1345, 2187, 258, 1363, 952, 1582, 269, 3240, 8217, 912, 258, 17264, 2132, 1582, 269, 3240, 8217, 21014, 263, 271, 994, 258, 1363, 3116, 912, 258, 17264, 6318, 17547, 296, 614, 566, 692, 258, 1250, 318, 3438, 815, 594, 614, 272, 8443, 272, 267, 273, 267, 274, 7481, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 4917, 258, 1820, 263, 10113, 30044, 318, 3438, 11723, 258, 1362, 5136, 329, 272, 10031, 258, 672, 1219, 6449, 3438, 9191, 1345, 2187, 258, 1363, 2132, 594, 614, 272, 8443, 272, 267, 273, 267, 274, 7481, 16482, 258, 1073, 329, 272, 815, 5136, 329, 272, 4590, 258, 1073, 329, 273, 815, 3733, 4504, 263, 276, 994, 258, 1073, 329, 274, 815, 3733, 21803, 3488, 29582, 3698, 326, 5073, 16482, 258, 1820, 263, 276, 2652, 1073, 329, 273, 994, 258, 585, 1775, 538, 1073, 329, 273, 912, 258, 672, 1820, 9217, 994, 258, 585, 1775, 538, 1073, 329, 274, 912, 258, 672, 1820, 9217, 2020, 258, 585, 1775, 538, 1073, 329, 272, 912, 258, 672, 1820, 9217, 267, 1826, 9217, 11723, 692, 258, 1362, 3733, 17572, 15411, 10031, 258, 672, 1219, 6449, 10938, 9191, 1345, 2187, 258, 1363, 1820, 3488, 1103, 4283, 1505, 5073, 258, 672, 1219, 6449, 1410, 527, 9191, 1345, 267, 1410, 322, 25292, 267, 1410, 322, 26371, 267, 1410, 322, 4671, 321, 2187, 258, 1363, 1820, 3488, 1103, 14827, 1505, 5073, 258, 1363, 1104, 942, 454, 258, 1363, 942, 4732, 2748, 263, 273, 994, 16482, 258, 609, 3733, 17572, 15411, 3890, 607, 1250, 18316, 318, 13449, 912, 258, 672, 1820, 3488, 1103, 2796, 5073, 258, 672, 6318, 5900, 25572, 13286, 692, 5035, 5124, 24927, 7476, 3890, 1384, 454, 825, 1219, 6449, 10938, 9191, 1345, 2187, 1038, 535, 815, 1930, 3488, 3240, 18316, 3299, 1412, 342, 5073, 1038, 1582, 8807, 815, 535, 454, 1038, 2132, 1582, 454, 825, 1219, 1205, 6831, 1712, 4311, 2187, 1038, 5401, 815, 1412, 24257, 1412, 454, 1038, 25034, 815, 476, 275, 2608, 1412, 1412, 454, 1038, 4831, 815, 476, 271, 454, 1038, 513, 815, 3403, 9638, 668, 696, 1341, 4831, 2608, 25034, 994, 1038, 1582, 8807, 22182, 6262, 3300, 2608, 25034, 1341, 513, 1341, 1412, 315, 333, 5073, 1038, 1247, 513, 610, 4831, 11203, 476, 271, 912, 2018, 952, 513, 269, 1742, 5976, 3488, 281, 262, 2187, 3546, 5401, 815, 1412, 1862, 1412, 1341, 25034, 2608, 4831, 454, 3546, 4831, 6834, 476, 272, 692, 2018, 513, 815, 3403, 9638, 668, 696, 1341, 4831, 2608, 25034, 994, 2018, 952, 513, 2525, 5257, 912, 3546, 4831, 20699, 476, 272, 454, 2018, 1582, 8807, 22182, 6262, 3300, 2608, 25034, 1341, 513, 1341, 1412, 315, 333, 5073, 825, 1219, 6449, 1410, 527, 9191, 1345, 267, 1410, 322, 25292, 267, 1410, 322, 26371, 267, 1410, 322, 4671, 321, 2187, 1038, 1582, 8807, 25379, 10797, 7531, 5976, 5124, 24927, 7476, 3890, 607, 3009, 318, 1326, 912, 825, 3009, 318, 1326, 10947, 6831, 1712, 10797, 0, 258, 476, 736, 303, 454, 258, 6744, 9598, 15058, 318, 29798, 543, 3313, 799, 1599, 814, 519, 10545, 1871, 538, 519, 1592, 540, 2418, 692, 3698, 1628, 5416, 267, 536, 267, 524, 2187, 825, 1219, 3210, 3287, 2187, 1038, 1267, 815, 476, 271, 454, 1038, 1267, 815, 513, 2608, 1535, 2878, 476, 273, 1341, 536, 2608, 1535, 1341, 524, 454, 1038, 2132, 1267, 454, 825, 2132, 3210, 692, 4289, 15058, 6958, 17313, 815, 11713, 18743, 15058, 318, 29798, 815, 2715, 10926, 1721, 513, 267, 536, 267, 524, 538, 16733, 272, 267, 910, 273, 267, 476, 273, 1070, 630, 273, 267, 910, 275, 267, 476, 275, 1070, 630, 274, 267, 910, 277, 267, 476, 277, 15892, 825, 1592, 15058, 6958, 17313, 6910, 6357, 4265, 5416, 14720, 22698, 11723, 1721, 1599, 538, 1592, 15058, 6958, 17313, 912, 825, 1592, 28767, 815, 11713, 825, 585, 586, 538, 2039, 8987, 1015, 267, 476, 1015, 17107, 1038, 1592, 28767, 6910, 6600, 4233, 12169, 4917, 825, 9598, 15058, 318, 29798, 314, 10818, 316, 815, 1592, 28767, 19638, 10818, 318, 5976, 5334, 332, 718, 652, 318, 14310, 815, 7183, 454, 20791, 652, 19056, 815, 7183, 454, 4289, 28804, 28767, 815, 11713, 1721, 1599, 267, 2418, 538, 9598, 15058, 318, 29798, 29096, 10031, 825, 1592, 28804, 28767, 6910, 263, 2381, 263, 11161, 4917, 825, 10545, 19056, 815, 1295, 17338, 28804, 28767, 994, 825, 585, 3693, 538, 2418, 912, 1038, 952, 263, 2381, 17338, 28804, 28767, 264, 2652, 3693, 2187, 2018, 1599, 318, 5976, 5334, 332, 718, 652, 318, 14310, 815, 1599, 454, 2745, 3488, 20791, 652, 1871, 815, 22207, 20791, 652, 19056, 994, 2745, 3488, 10818, 609, 519, 10545, 1267, 815, 22207, 10818, 318, 5976, 5334, 332, 718, 652, 318, 14310, 2020, 19638, 19638, 19638, 19638, 19638, 19638, 19638, 692, 7531, 0, 18851, 14581, 476, 276, 910, 2115, 547, 581, 4843, 1354, 981, 1554, 20701, 258, 1284, 1616, 547, 1711, 1362, 585, 606, 1843, 602, 31136, 899, 513, 6906, 267, 602, 814, 8465, 5011, 543, 7285, 563, 258, 5221, 540, 4114, 574, 725, 538, 9226, 519, 6906, 786, 1205, 25302, 1310, 930, 540, 519, 2242, 865, 713, 568, 711, 513, 454, 258, 3501, 2203, 692, 258, 476, 1789, 303, 454, 258, 476, 910, 1362, 4020, 528, 666, 4309, 476, 274, 7440, 585, 7285, 630, 5976, 9949, 1871, 540, 476, 2568, 264, 543, 476, 274, 7440, 585, 5011, 630, 5976, 454, 258, 9949, 1871, 540, 476, 272, 994, 258, 1362, 4632, 585, 5011, 786, 581, 1572, 589, 267, 645, 267, 595, 454, 258, 1362, 4632, 585, 7285, 786, 581, 1572, 9474, 267, 7460, 267, 11404, 630, 785, 21899, 5011, 2020, 258, 476, 1789, 303, 454, 258, 910, 1362, 28352, 1505, 547, 12189, 318, 4120, 912, 258, 567, 910, 12189, 318, 4120, 1505, 3217, 1079, 4661, 912, 258, 11434, 910, 834, 4120, 257, 543, 666, 581, 835, 540, 476, 274, 5569, 2418, 1412, 5723, 3299, 1412, 6195, 3299, 1412, 7563, 7055, 258, 11434, 910, 834, 19592, 4181, 257, 602, 666, 581, 513, 2318, 610, 2942, 543, 4564, 519, 2179, 676, 799, 519, 5086, 786, 581 ]

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

[ 636, 331, 1695, 272, 10031, 453, 16596, 15552, 14857, 329, 636, 331, 1695, 692, 453, 258, 1505, 11979, 562, 11391, 601, 1183, 1073, 329, 2131, 15854, 1362, 454, 453, 287, 18878, 24709, 1948, 1372, 14585, 1807, 454, 22592, 1205, 297, 636, 331, 1695, 273, 10031, 453, 16596, 15552, 14857, 329, 636, 331, 1695, 692, 453, 287, 5035, 24709, 454, 22592, 1205, 297, 636, 331, 1695, 274, 263, 743, 338, 2187, 453, 16596, 804, 338, 14857, 329, 636, 331, 1695, 692, 338, 14269, 704, 815, 15552, 3488, 338, 14269, 704, 5073, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 15405, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 272, 15405, 20891, 31483, 340, 815, 15552, 3488, 20891, 31483, 340, 5073, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 273, 15405, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 273, 15405, 323, 992, 337, 9734, 815, 15552, 3488, 323, 992, 337, 9734, 5073, 2745, 263, 295, 3266, 10947, 297, 636, 331, 1695, 274, 15405, 2745, 4433, 14269, 704, 10947, 297, 636, 331, 1695, 274, 28829, 0, 25900, 284, 6358, 4590, 325, 17342, 2639, 1721, 522, 538, 27652, 912, 14851, 522, 18994, 333, 10179, 545, 10031, 453, 453, 325, 6910, 263, 334, 994, 2745, 3488, 8339, 21860, 6600, 4917, 0, 822, 284, 4289, 9272, 15405, 14269, 17342, 2639, 1721, 575, 538, 1285, 912, 567, 952, 575, 711, 538, 562, 328, 912, 8587, 562, 328, 6910, 14116, 994, 604, 1285, 2525, 14269, 912, 567, 1820, 2891, 8133, 5602, 12828, 912, 567, 1820, 2891, 5591, 5602, 0, 3698, 19389, 31374, 263, 2855, 267, 7003, 3738, 2433, 1477, 825, 585, 1775, 538, 2039, 12759, 910, 476, 272, 8029, 1038, 585, 795, 538, 2039, 12759, 910, 476, 272, 910, 1775, 8029, 2018, 952, 2855, 14728, 316, 3436, 2855, 14728, 1341, 476, 272, 316, 6769, 3546, 2855, 14728, 3910, 2855, 14728, 1341, 476, 272, 316, 815, 2855, 14728, 1341, 476, 272, 3910, 2855, 14728, 316, 24653, 6352, 815, 703, 263, 3403, 263, 834, 11767, 20099, 540, 5044, 2433, 834, 3738, 476, 10142, 1551, 815, 32582, 5897, 1721, 1775, 538, 2039, 263, 7003, 3738, 2433, 1477, 825, 1535, 815, 703, 263, 3403, 263, 834, 11767, 1871, 538, 5044, 2433, 834, 3738, 476, 3418, 825, 2855, 6910, 263, 1535, 476, 10142, 2745, 263, 834, 308, 985, 9285, 5044, 568, 2433, 14307, 2855, 476, 10142, 321, 889, 1076, 31374, 263, 2855, 267, 7003, 476, 10142, 2745, 263, 834, 292, 6123, 538, 15044, 1931, 616, 2433, 14307, 2855, 3738 ]

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

[ 1480, 6608, 1058, 1246, 519, 1383, 540, 2696, 538, 18245, 519, 2924, 540, 1169, 12504, 543, 8156, 3025, 9425, 543, 8449, 896, 519, 1876, 269, 3143, 835, 1058, 581, 968, 629, 913, 519, 1876, 2223, 711, 1256, 519, 5207, 8387, 538, 519, 2229, 269, 3958, 267, 519, 2924, 543, 22624, 540, 519, 4617, 652, 2818, 540, 2486, 1058, 581, 9856, 539, 607, 1990, 7002, 3585, 607, 519, 22624, 540, 519, 16999, 2818, 563, 2108, 303, 2720, 3726, 540, 8788, 892, 3085, 1406, 1611, 13287, 540, 12257, 454, 763, 1318, 547, 11654, 835, 779, 1378, 8788, 630, 528, 2147, 2262, 532, 264, 568, 513, 1523, 1336, 538, 1896, 6054, 689, 519, 476, 1704, 628, 2540, 4464, 267, 1519, 519, 476, 15433, 274, 4828, 19634, 940, 5274, 4197, 676, 3703, 2797, 14544, 3627, 28676, 269, 28676, 267, 945, 1419, 5219, 547, 519, 6392, 540, 519, 6426, 267, 729, 513, 2101, 3310, 593, 7338, 16962, 267, 15656, 17566, 543, 824, 1977, 27428, 269, 1809, 519, 8561, 538, 891, 3105, 12591, 729, 2760, 593, 513, 13719, 13287, 540, 2283, 783, 12257, 563, 9213, 267, 1082, 1004, 2015, 519, 13287, 540, 8788, 513, 1164, 10862, 267, 855, 538, 513, 1259, 1454, 1114, 982, 519, 1977, 15713, 18971, 1185, 538, 2247, 269, 4653, 779, 1582, 19721, 267, 5905, 344, 1922, 2465, 569, 2486, 568, 13856, 676, 1570, 1143, 267, 1480, 1143, 543, 15949, 517, 1143, 1765, 1117, 517, 1143, 1373, 519, 968, 335, 2720, 3726, 540, 610, 20174, 547, 12257, 267, 2523, 547, 519, 5418, 9778, 540, 519, 12823, 892, 630, 763, 1977, 11595, 9218, 540, 519, 2296, 5678, 267, 19549, 9990, 1916, 1103, 513, 1612, 762, 827, 519, 5609, 540, 524, 913, 339, 748, 1145, 267, 4906, 19230, 1996, 513, 6159, 1324, 547, 968, 339, 820, 707, 8897, 282, 3548, 267, 4235, 267, 543, 581, 5789, 787, 892, 630, 299, 8123, 476, 1321, 281, 1428, 268, 2641, 1916, 763, 19980, 548, 6754, 5206, 267, 968, 3719, 917, 713, 267, 602, 538, 519, 2063, 2395, 829, 559, 748, 2053, 786, 2097, 281, 1280, 2367, 786, 581, 18798, 540, 2933, 267, 18798, 540, 2724, 2507, 23719, 1582, 20820, 2507, 3650, 17641, 267, 688, 7676, 1399, 267, 18798, 540, 12257, 2864, 982, 18798, 540, 2696, 892, 630, 273, 30227, 476, 274, 281, 272, 268, 275, 1040, 769, 891, 968, 18431, 2395, 2223, 4896, 666, 1294, 602, 891, 2042, 616, 6385, 3478, 8338, 563, 12148, 267, 9434, 8788, 666, 1152, 581, 5833, 676, 2713, 513, 4075, 6681, 1272, 543, 2348, 513, 2673, 2078, 609, 2696, 269, 769, 1034, 6426, 16627, 267, 519, 10726, 6421, 540, 15623, 476, 276, 281, 274, 268, 1015, 2253, 609, 968, 289, 1652, 539, 616, 2507, 892, 1717, 267, 519, 5259, 2262, 12261, 968, 321, 1652, 539, 892, 666, 849, 581, 12261, 607, 968, 327, 7026, 3034, 28074, 811, 982, 8788, 267, 519, 6426, 11363, 7772, 269, 19732, 1465, 666, 581, 9763, 607, 513, 10151, 7553, 1759, 593, 1018, 568, 4867, 8345, 267, 6466, 7772, 666, 581, 513, 8628, 1533, 540, 2247, 269, 968, 18661, 3947, 7326, 543, 1702, 543, 7772, 547, 513, 812, 945, 568, 1434, 538, 3571, 8289, 892, 630, 31319, 27036, 770, 525, 476, 273, 281, 2918, 1916, 2005, 779, 2067, 547, 2972, 12257, 267, 855, 1082, 1004, 723, 741, 14422, 26700, 1524, 269, 1358, 616, 968, 5979, 951, 540, 12257, 2864, 982, 18798, 540, 2696, 892, 950, 621, 1058, 581, 519, 824, 1259, 1472, 269, 634, 2136, 2276, 814, 1044, 25552, 547, 723, 1044, 8547, 676, 2367, 543, 2021, 945, 267, 538, 1034, 2665, 267, 6068, 2696, 811, 982, 789, 6068, 12257, 563, 303, 2720, 3726, 540, 8788, 6772, 2355, 609, 1272, 543, 15698, 454, 2414, 1174, 519, 1318, 547, 11654, 8788, 267, 1577, 779, 1101, 2015, 922, 1034, 3693, 531, 2495, 9789, 5191, 547, 11654, 8726, 596, 1589, 786, 1118, 596, 18668, 269, 769, 713, 2063, 4845, 267, 968, 327, 1952, 1512, 892, 568, 811, 3617, 982, 968, 327, 7026, 1848, 634, 27428, 941, 4440, 782, 9921, 2614, 711, 547, 1589, 538, 2474, 540, 968, 296, 3580, 581, 6126, 1152, 1310, 594, 10536, 610, 9585, 1945, 3034, 763, 1318, 547, 11654, 1018, 596, 1589, 786, 1118, 596, 18668, 568, 513, 3376, 10137, 540, 519, 2696, 3766, 1508, 2924, 547, 1272, 543, 15698, 269, 634, 27428, 4941, 547, 1118, 621, 2312, 602, 938, 23118, 979, 1134, 3564, 1373, 1863, 689, 28112, 2335, 673, 4341, 610, 26646, 563, 2005, 666, 581, 5363, 547, 1589, 540, 519, 2078, 1063, 519, 1913, 968, 327, 7026, 892, 543, 968, 327, 1952, 523, 1848, 13298, 982, 513, 1268, 6236, 5128, 630, 528, 9887, 264, 547, 581, 513, 688, 20439, 543, 27303, 6408, 267, 646, 666, 8275, 602, 646, 814, 5191, 543, 1761, 547, 1118, 1919, 4755, 563, 763, 1318, 547, 1378, 3959, 454, 2414, 519, 27428, 267, 519, 1318, 547, 519, 968, 335, 2720, 3726, 540, 8788, 892, 3769, 1978, 1808, 1919, 267, 1519, 519, 1318, 547, 10536, 543, 1378, 3959, 269, 1358, 5156, 602, 519, 7060, 540, 5313, 6608, 1058, 581, 7361, 3908, 547, 7863, 1018, 3627, 28676, 2808, 519, 1614, 1390, 2067, 2924, 1765, 5158, 267, 15698, 543, 3959, 31539, 6937, 689, 1369, 630, 13062, 830, 264, 543, 1510, 630, 28717, 5235, 1916, 7468, 10675, 3959, 568, 4909, 547, 15698, 269, 3627, 17566, 267, 2034, 7022, 540, 519, 2136, 2276, 267, 4718, 4357, 3959, 607, 519, 1034, 1271, 2582, 5748, 6149, 896, 326, 2273, 532, 1480, 15698, 269, 1261, 1767, 267, 968, 19187, 1399, 1590, 581, 17956, 610, 15698, 3112, 2291, 3034, 7804, 269, 32400, 13153, 631, 2478, 630, 6642, 272, 268, 3192, 274, 264, 540, 15212, 267, 835, 540, 519, 1158, 779, 19466, 24192, 543, 28288, 540, 11309, 31791, 267, 5206, 267, 968, 5472, 12977, 723, 909, 547, 1631, 1044, 1759, 593, 4357, 3959, 269, 8307, 6082, 8149, 547, 519, 6240, 540, 4357, 3959, 723, 24111, 1657, 4050, 1722, 543, 3812, 2257, 267, 1148, 267, 543, 3332, 3034, 7468, 10675, 3959, 2882, 3388, 513, 1268, 22595, 267, 1519, 1018, 646, 610, 1352, 5932, 269, 1809, 538, 1034, 5717, 267, 519, 1445, 568, 593, 2244, 543, 1018, 602, 2244, 666, 3132, 269, 1403, 513, 1268, 814, 513, 2777, 543, 513, 4062, 540, 2244, 609, 4055, 585, 513, 4677, 602, 616, 7963, 6954, 543, 3454, 6954, 267, 646, 610, 1352, 1223, 1205, 676, 609, 1360, 2370, 4747, 269, 3958, 267, 2244, 666, 1683, 606, 4316, 585, 513, 19311, 3484, 610, 32119, 2872, 269, 1656, 2244, 666, 581, 32097, 585, 2877, 3854, 563, 5472, 540, 835, 779, 3959, 543, 5763, 666, 581, 1572, 968, 5115, 1388, 1848, 1703, 568, 1454, 5168, 538, 519, 3948, 267, 968, 2005, 3217, 2724, 547, 1118, 2724, 1848, 4475, 267, 519, 2596, 2856, 540, 16851, 568, 519, 946, 540, 3854, 630, 19989, 2724, 267, 3959, 543, 824, 7221, 264, 547, 3132, 5370, 610, 2533, 602, 786, 581, 20019, 30039, 269, 898, 779, 25031, 602, 519, 2262, 968, 5115, 1388, 1143, 892, 568, 3006, 1031, 547, 3277, 547, 26846, 543, 30907, 12485, 269, 634, 2489, 2495, 540, 16851, 568, 519, 4999, 540, 4357, 3959, 543, 513, 1863, 2344, 4346, 269, 1452, 616, 3741, 6026, 538, 519, 6426, 267, 543, 649, 1294, 1806, 540, 16851, 2429, 519, 6426, 563, 763, 6426, 7512, 4357, 9562, 540, 3959, 454, 18661, 779, 4971, 906, 602, 17246, 573, 27560, 543, 524, 913, 1154, 1095, 2541, 519, 1318, 540, 4357, 3959, 269, 769, 1840, 267, 519, 1062, 540, 5126, 18796, 1065, 9653, 543, 1964, 3191, 547, 519, 6408, 540, 17403, 2864, 982, 22717, 6976, 547, 519, 1533, 269, 1403, 519, 555, 3971, 1185, 13385, 2724, 543, 5370, 547, 1118, 1964, 3191, 267, 646, 610, 1352, 729, 711, 1055, 519, 13622, 269, 634, 555, 3971, 1223, 968, 8688, 892, 1864, 610, 9887, 883, 7963, 1425, 3363, 547, 519, 3959, 8227, 2394, 519, 7963, 729, 6976, 269, 1809, 519, 5021, 942, 540, 1425, 3363, 729, 3670, 1296, 563, 18661, 267, 540, 1576, 267, 568, 519, 10700, 13574, 518, 540, 968, 1492, 1158, 2507, 663, 782, 922, 2407, 1145, 892, 630, 11679, 531, 332, 476, 2004, 281, 1321, 1040, 1717, 267, 950, 2696, 2813, 14088, 543, 18832, 267, 1261, 5795, 873, 543, 741, 18939, 968, 3256, 514, 542, 892, 630, 22364, 543, 19642, 264, 936, 519, 3618, 543, 782, 922, 7068, 630, 7049, 8412, 476, 272, 281, 2764, 1040, 1306, 519, 533, 15680, 332, 626, 2322, 621, 267, 968, 763, 3618, 1261, 1496, 18661, 316, 814, 2016, 547, 519, 1453, 540, 2367, 892, 630, 11679, 531, 332, 476, 12893, 281, 1626, 1040, 901, 10522, 2696, 779, 7287, 585, 1142, 1920, 547, 968, 1144, 892, 513, 7963, 6954, 4062, 540, 3959, 630, 3697, 513, 8628, 25755, 540, 2696, 779, 3959, 1040, 901, 568, 3810, 1713, 563, 2691, 2696, 4646, 3571, 1378, 4182, 9789, 4182, 540, 5840, 1765, 3891, 5795, 519, 4961, 513, 8748, 1376, 269, 2696, 1185, 16219, 547, 2285, 519, 1453, 540, 5840, 968, 26171, 543, 4190, 4872, 799, 596, 1705, 711, 1628, 267, 8075, 2407, 540, 782, 1434, 1919, 267, 799, 596, 1705, 711, 6445, 267, 646, 1233, 13050, 19401, 799, 596, 1705, 711, 2007, 267, 11903, 29288, 543, 14462, 4054, 799, 596, 1705, 711, 2030, 892, 630, 5719, 17458, 16860, 476, 277, 281, 1015, 268, 1556, 1040, 2334, 729, 782, 7963, 6954, 543, 3454, 6954, 2336, 5194, 25133, 942, 729, 1282, 519, 12081, 540, 3751, 21125, 950, 968, 297, 644, 1695, 543, 5840, 546, 342, 3881, 9108, 267, 1142, 812, 896, 1010, 11903, 543, 1010, 4453, 3529, 892, 630, 272, 18301, 476, 275, 281, 1839, 1916, 7628, 519, 4947, 7085, 3317, 1756, 267, 896, 2441, 779, 4341, 267, 968, 25444, 4927, 1694, 896, 1010, 11903, 543, 896, 1010, 4453, 3529, 267, 543, 1100, 835, 4927, 1118, 873, 12922, 892, 630, 31466, 1695, 476, 275, 281, 275, 1916, 13010, 267, 2696, 26017, 513, 968, 1633, 590, 30117, 892, 1169, 18749, 1032, 630, 299, 5271, 12792, 639, 476, 1839, 281, 272, 268, 278, 1040, 901, 1876, 1185, 1896, 2640, 269, 2290, 729, 602, 20471, 2244, 729, 4421, 267, 971, 607, 547, 2628, 513, 7963, 267, 519, 3312, 8227, 610, 835, 540, 1010, 14077, 1185, 519, 1318, 547, 28099, 655, 621, 630, 321, 8500, 621, 1394, 264, 693, 1022, 942, 630, 299, 5271, 12792, 639, 476, 1839, 281, 2190, 268, 2767, 1916, 4517, 513, 1034, 7415, 1876, 729, 602, 540, 519, 968, 297, 889, 850, 324, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 279, 268, 866, 1040, 901, 476, 2004, 628, 1032, 729, 513, 13411, 1032, 602, 729, 606, 3606, 2244, 590, 30117, 269, 2859, 11932, 267, 621, 729, 519, 1032, 950, 782, 2244, 729, 8120, 547, 519, 3312, 5411, 610, 741, 18939, 269, 4935, 267, 952, 513, 1920, 1185, 711, 1044, 2111, 547, 4444, 1394, 741, 2244, 1354, 519, 808, 889, 850, 324, 1032, 267, 789, 1131, 1869, 22919, 15896, 540, 602, 2244, 538, 519, 808, 889, 850, 324, 1032, 269, 4935, 267, 5840, 779, 2244, 10643, 941, 538, 531, 1329, 762, 630, 6866, 547, 581, 18385, 11843, 1916, 763, 808, 889, 850, 324, 779, 23318, 729, 606, 3078, 2680, 281, 968, 4517, 596, 4927, 13394, 3433, 519, 535, 3424, 328, 996, 1032, 267, 543, 605, 8010, 15698, 2429, 782, 519, 2244, 547, 782, 922, 11317, 269, 898, 4927, 581, 513, 808, 889, 850, 324, 585, 596, 282, 543, 1142, 540, 596, 4927, 2132, 547, 1010, 15896, 267, 543, 1142, 540, 596, 4927, 2132, 547, 1010, 1920, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 1015, 1916, 18661, 6045, 267, 968, 763, 2244, 4927, 711, 581, 4421, 18385, 267, 585, 519, 2244, 568, 17719, 282, 585, 596, 616, 21046, 543, 865, 30394, 2996, 609, 2725, 892, 630, 299, 5271, 12792, 639, 476, 1839, 281, 2537, 1040, 769, 513, 2631, 267, 2244, 729, 711, 2965, 4421, 22924, 729, 682, 1078, 585, 513, 5021, 540, 476, 5392, 1296, 269, 634, 3959, 1871, 540, 513, 25755, 729, 513, 3902, 8167, 622, 547, 519, 942, 561, 8985, 2394, 519, 808, 889, 850, 324, 630, 951, 525, 476, 1428, 268, 1626, 1916, 763, 808, 889, 850, 324, 1876, 1185, 1082, 6286, 543, 2640, 269, 898, 5280, 547, 2061, 519, 3638, 689, 2921, 5413, 540, 519, 4057, 543, 519, 32117, 1966, 540, 968, 1492, 3638, 1205, 21950, 543, 519, 4057, 1205, 25013, 1848, 898, 7361, 15286, 7814, 673, 2804, 1244, 11306, 269, 1809, 1034, 15069, 267, 621, 4951, 2696, 779, 7287, 585, 3885, 547, 1378, 4357, 3959, 538, 10419, 8462, 563, 5278 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5629, 2390, 513, 942, 267, 972, 729, 513, 6653, 2370, 21963, 32120, 3957, 16452, 269, 16452, 5030, 538, 513, 18241, 21799, 538, 513, 3636, 543, 15962, 1753, 269, 1261, 1185, 3388, 646, 2877, 1107, 513, 2571, 5127, 267, 8949, 1426, 267, 543, 9162, 547, 1404, 609, 2439, 3080, 1554, 267, 513, 8049, 2370, 8004, 3957, 15039, 3357, 547, 3643, 269, 2701, 6743, 693, 16452, 609, 2647, 4064, 543, 4280, 267, 968, 300, 20207, 267, 1018, 779, 602, 9495, 8672, 532, 2509, 16452, 267, 1352, 4941, 547, 917, 811, 827, 1864, 269, 4173, 3158, 14452, 9900, 267, 968, 6546, 779, 513, 4620, 21963, 32120, 267, 15210, 269, 3571, 2012, 568, 16452, 14325, 299, 1176, 14059, 519, 21799, 7444, 267, 6297, 711, 547, 29057, 16452, 269, 16474, 6045, 267, 968, 295, 14019, 2115, 930, 2230, 267, 865, 649, 1810, 1406, 1616, 547, 1093, 651, 938, 11263, 3330, 1010, 2777, 10393, 269, 3807, 899, 875, 596, 1616, 707, 2123, 2230, 950, 4730, 609, 707, 2828, 14325, 10501, 1190, 267, 15039, 4280, 267, 968, 1692, 1281, 16452, 3548, 267, 631, 20207, 286, 6496, 646, 946, 513, 22635, 899, 803, 9495, 2060, 513, 12837, 267, 3158, 12943, 267, 968, 5591, 267, 9932, 269, 6423, 267, 16452, 22655, 1010, 1426, 689, 513, 12826, 5116, 1318, 1934, 269, 1261, 3096, 1010, 6263, 533, 9155, 547, 4584, 909, 519, 1426, 543, 2972, 621, 256, 10640, 2026, 789, 14478, 16452, 544, 684, 4221, 2476, 25747, 267, 15039, 9289, 16965, 267, 968, 4692, 594, 5905, 1864, 286, 4024, 646, 1205, 18901, 9495, 16474, 15260, 3293, 1200, 267, 968, 8170, 1576, 267, 29593, 1782, 256, 1809, 3314, 267, 581, 9543, 269, 2913, 781, 2307, 16452, 952, 646, 6499, 524, 3291, 956, 1101, 269, 1403, 646, 20061, 883, 513, 3440, 267, 602, 1797, 646, 6499, 930, 9602, 942, 14325, 4415, 3158, 779, 5583, 267, 15039, 4121, 547, 5402, 3180, 16452, 1510, 9292, 1154, 1864, 269, 1358, 6170, 3108, 1927, 2542, 2835, 267, 13465, 8964, 267, 543, 1256, 2348, 513, 2370, 7401, 5428, 256, 28064, 3688, 971, 607, 11680, 267, 10824, 267, 543, 838, 9398, 2968, 3078, 605, 1186, 1282, 713, 1187, 7045, 780, 306, 3019, 2614, 267, 15039, 7691, 602, 2921, 1416, 540, 2576, 3116, 1500, 1200, 6126, 1932, 269, 1879, 23040, 942, 8452, 267, 789, 512, 26786, 16452, 1394, 883, 1010, 635, 325, 344, 5127, 269, 6969, 2469, 547, 3207, 9887, 267, 15039, 26866, 1229, 561, 990, 5944, 267, 968, 14187, 9519, 267, 1250, 533, 4459, 569, 3659, 256, 10640, 5804, 1287, 27477, 267, 1169, 12784, 4718, 15039, 678, 5241, 936, 1310, 1153, 547, 6108, 2298, 942, 609, 1200, 32620, 4620, 21963, 32120, 267, 1565, 1945, 1007, 1142, 1554, 1247, 14304, 741, 10475, 6125, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9083, 1295, 5437, 476, 1428, 281, 634, 911, 8814, 585, 519, 19347, 3126, 623, 756, 2421, 4465, 513, 1849, 1470, 30007, 13815, 585, 7454, 22731, 12474, 693, 519, 476, 1708, 273, 1849, 1470, 22952, 269, 4956, 569, 6404, 4606, 827, 623, 1460, 1513, 2063, 856, 532, 267, 2638, 856, 18947, 27752, 4793, 878, 807, 10658, 550, 525, 2407, 2689, 585, 9105, 267, 519, 631, 2313, 3336, 3751, 20819, 1034, 538, 24683, 663, 726, 3784, 270, 12516, 5828, 476, 2412, 267, 5915, 517, 6215, 9707, 630, 298, 574, 1115, 340, 1100, 962, 320, 756, 320, 264, 634, 28414, 281, 631, 1872, 523, 21541, 269, 1323, 11582, 267, 10374, 267, 11059, 267, 7641, 25286, 18281, 2398, 3430, 814, 1044, 5641, 607, 631, 9222, 267, 543, 602, 1249, 4805, 568, 6028, 721, 7168, 26617, 711, 1175, 827, 519, 7260, 267, 855, 827, 519, 15415, 941, 2713, 538, 269, 1677, 14710, 1677, 343, 528, 267, 23183, 543, 1200, 1007, 2828, 1590, 1246, 538, 519, 3723, 25074, 540, 519, 26704, 5869, 710, 540, 2578, 18701, 543, 26595, 1614, 3504, 10007, 269, 5484, 5576, 23702, 345, 267, 744, 3405, 645, 21672, 16019, 267, 15576, 24023, 267, 21013, 645, 1066, 518, 267, 15952, 517, 3733, 577, 531, 8055, 267, 18238, 645, 879, 5633, 267, 670, 1446, 344, 11835, 601, 14642, 618, 269, 476, 10170, 1295, 1323, 9721, 7911, 3957, 3223, 1122, 534, 543, 513, 5053, 8004, 3957, 631, 30377, 3460, 883, 519, 26704, 1158, 540, 519, 631, 20235, 665, 14058, 717, 580, 14397, 639, 945, 4001, 873, 547, 5660, 5211, 323, 766, 607, 513, 11812, 540, 1272, 269, 11370, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 12292, 1315, 623, 1115, 1315, 670, 8354, 327, 9233, 607, 623, 1115, 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, 7170, 281, 1215, 547, 4980, 10675, 513, 11146, 585, 7335, 538, 20390, 30105, 585, 9608, 12618, 692, 272, 269, 10576, 707, 21717, 781, 4690, 281, 10670, 676, 1620, 1018, 19306, 707, 7141, 781, 3007, 269, 901, 786, 948, 3391, 707, 5542, 950, 7446, 2835, 602, 8597, 547, 741, 7375, 269, 1635, 3257, 865, 267, 789, 616, 811, 2693, 547, 2972, 519, 2542, 1995, 563, 273, 269, 10812, 1585, 11964, 281, 11559, 707, 21717, 547, 2119, 856, 3309, 11964, 899, 14810, 267, 2257, 5708, 267, 9814, 267, 3140, 5708, 267, 22808, 267, 543, 1582, 25298, 2835, 269, 3962, 9135, 3091, 2189, 5380, 543, 4798, 602, 3565, 547, 9750, 835, 781, 23381, 563, 274, 269, 8073, 513, 20009, 1604, 585, 2542, 281, 5590, 909, 513, 6899, 2230, 609, 1697, 8654, 1141, 707, 21717, 666, 6001, 1247, 2502, 538, 741, 2542, 1570, 269, 7799, 1746, 19240, 267, 971, 607, 7432, 1055, 5907, 3457, 1282, 11280, 2542, 942, 267, 8992, 5834, 543, 21599, 538, 519, 1650, 1467, 563, 275, 269, 21480, 2834, 2542, 2053, 281, 19372, 3232, 610, 12353, 13467, 6131, 9003, 547, 2542, 269, 3117, 29548, 11942, 6208, 282, 3976, 267, 6220, 2542, 883, 707, 15730, 781, 8430, 4679, 519, 10171, 540, 3384, 513, 15400, 2648, 585, 3332, 563, 276, 269, 9523, 707, 1378, 15131, 585, 2542, 281, 18124, 707, 10761, 827, 2835, 596, 4312, 5063, 4362, 610, 20460, 1243, 269, 2659, 9758, 6612, 1522, 8141, 7279, 1369, 707, 21717, 267, 11121, 873, 547, 2263, 891, 2984, 10446, 563, 277, 269, 12160, 622, 1927, 538, 1433, 5717, 281, 12056, 538, 7391, 827, 519, 3197, 267, 4729, 23538, 267, 543, 6835, 24829, 998, 3332, 18791, 8223, 1983, 543, 2620, 839, 4296, 4646, 609, 5931, 269, 6333, 11836, 2199, 8021, 610, 3506, 16475, 1433, 15731, 5078, 585, 1312, 4079, 543, 14038, 563, 278, 269, 22982, 2029, 547, 7520, 10333, 281, 10748, 328, 984, 23697, 543, 552, 20486, 1683, 4244, 2081, 585, 2043, 945, 6560, 609, 2757, 12043, 1813, 547, 1565, 9124, 610, 3308, 23043, 269, 3509, 5867, 849, 2709, 1863, 2200, 267, 1818, 7924, 3015, 547, 3025, 7488, 540, 2883, 10148, 563, 279, 269, 4045, 3332, 547, 1483, 3734, 2833, 281, 8571, 19320, 1063, 2621, 13269, 538, 2835, 543, 1699, 2152, 5185, 676, 2486, 610, 2123, 2591, 11402, 676, 707, 21717, 269, 23227, 908, 10083, 7512, 6278, 543, 2565, 3206, 563, 280, 269, 18554, 3356, 1510, 1373, 703, 28424, 281, 17115, 2638, 538, 593, 707, 21717, 781, 2542, 3460, 1510, 17729, 9013, 610, 10385, 531, 269, 5510, 1359, 5583, 543, 1489, 950, 2877, 25040, 2318, 15699, 563, 1015, 269, 18270, 622, 19325, 6913, 2429, 519, 1184, 281, 20876, 18517, 267, 2436, 18138, 513, 4101, 3209, 610, 9846, 5870, 1305, 3853, 267, 4665, 919, 4797, 2208, 269, 16217, 1047, 3646, 16539, 2059, 519, 1259, 2864, 982, 2519, 9003, 593, 4093, 25189, 780, 3528, 7598, 891, 3268, 267, 596, 6536, 606, 7071, 585, 3332, 1369, 707, 15730, 267, 6038, 7700, 547, 4824, 5042, 5759, 267, 6568, 1646, 267, 543, 2949, 8171, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2791, 2461, 3168, 585, 519, 7454, 7734, 1280, 8479, 20661, 21058, 286, 3973, 713, 2376, 568, 5363, 547, 596, 563, 15371, 707, 15730, 568, 513, 14468, 1433, 11988, 610, 513, 26997, 5856, 267, 16764, 949, 2744, 689, 11362, 1318, 883, 513, 9735, 1433, 269, 1855, 839, 945, 1224, 17618, 666, 1732, 4383, 1950, 18765, 267, 6060, 1732, 593, 13387, 4255, 267, 543, 4043, 547, 581, 811, 16561, 540, 1004, 602, 616, 1114, 689, 2933, 563, 4517, 585, 513, 2898, 2603, 540, 12322, 945, 3409, 547, 16339, 1047, 2542, 267, 29466, 519, 3501, 1641, 2339, 949, 6961, 519, 7934, 1063, 1989, 22824, 936, 11264, 741, 16601, 2542, 1592, 543, 1821, 28666, 513, 1007, 8313, 1510, 1071, 1314, 532, 563, 7712, 1647, 3446, 543, 1762, 2937, 9089, 723, 811, 547, 2709, 982, 2479, 1354, 267, 1100, 3668, 540, 9735, 3332, 2139, 14753, 2786, 547, 1272, 543, 707, 2637, 2098, 518, 563, 2419, 1734, 616, 596, 2907, 1174, 519, 25761, 1568, 676, 5339, 17691, 971, 607, 22489, 10557, 543, 808, 6185, 269, 590, 2718, 518, 267, 519, 28531, 8941, 838, 684, 676, 808, 14389, 18007, 1782, 267, 543, 519, 2295, 11415, 8913, 21794, 1164, 1153, 32741, 799, 1050, 322, 3010, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 306, 23852, 29803, 1315, 7763, 643, 1049, 1299, 6184, 2869, 1049, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 563, 268, 7994, 513, 13598, 2140, 602, 3085, 1405, 1445, 593, 13061, 1344, 538, 519, 1357, 1349, 269, 0, 3848, 476, 1724, 281, 27505, 1359, 4750, 1235, 540, 7822, 910, 27915, 31875, 543, 1744, 12686, 3778, 692, 7072, 692, 22711, 1143, 814, 2141, 1044, 513, 2565, 5057, 540, 11180, 7239, 267, 7674, 607, 513, 4585, 27594, 585, 1346, 538, 1379, 543, 3246, 4961, 609, 1898, 1344, 827, 741, 2950, 267, 4182, 267, 543, 1158, 269, 1717, 267, 20859, 540, 2681, 723, 13840, 5185, 1713, 7496, 547, 7127, 267, 1519, 11528, 10168, 267, 7130, 267, 543, 3668, 540, 1569, 547, 2069, 543, 2200, 269, 6736, 891, 2591, 267, 1082, 23806, 540, 2681, 13264, 998, 891, 9465, 543, 1500, 9434, 7418, 547, 19761, 543, 2486, 693, 1804, 269, 901, 3184, 786, 5490, 883, 519, 2729, 543, 18517, 540, 1896, 971, 13009, 4565, 1794, 619, 267, 6313, 741, 1764, 593, 519, 2361, 540, 19761, 543, 875, 741, 960, 5170, 547, 13469, 2221, 780, 4089, 476, 272, 281, 594, 6767, 645, 269, 28243, 910, 634, 14640, 6441, 2106, 4221, 12724, 14575, 692, 296, 6767, 645, 269, 28243, 729, 606, 3979, 12677, 19784, 267, 3411, 4048, 626, 267, 543, 3540, 2924, 19191, 945, 5129, 513, 11358, 1909, 538, 20392, 519, 22266, 4641, 540, 561, 2106, 577, 902, 538, 519, 2136, 2276, 1282, 519, 3735, 13524, 543, 2038, 14206, 5553, 269, 18004, 883, 8474, 538, 4591, 569, 25951, 267, 14967, 267, 538, 476, 5908, 273, 267, 28243, 1131, 979, 593, 547, 1831, 835, 540, 519, 1034, 7986, 9739, 14957, 585, 7292, 5126, 543, 7862, 538, 3013, 780, 11039, 338, 3459, 1200, 4876, 607, 513, 4116, 538, 6490, 874, 529, 267, 17906, 267, 1141, 1352, 849, 5249, 607, 513, 5856, 543, 9375, 585, 1585, 2199, 14786, 269, 769, 476, 6642, 280, 267, 1352, 12349, 513, 2671, 538, 519, 5131, 16594, 543, 10361, 2775, 267, 4742, 922, 1071, 268, 26782, 543, 21107, 5234, 269, 898, 729, 1934, 602, 28243, 1131, 2253, 1200, 5880, 1228, 1996, 561, 2106, 4221, 1310, 1614, 540, 1200, 2828, 941, 14697, 958, 23689, 676, 513, 3043, 4254, 538, 476, 6245, 273, 269, 4173, 8989, 6534, 519, 7301, 840, 3667, 338, 1419, 1031, 547, 17854, 561, 2106, 577, 902, 27137, 607, 7863, 3043, 2021, 781, 8956, 11652, 7000, 873, 3079, 607, 6411, 540, 9810, 2966, 547, 2226, 3043, 29686, 780, 1103, 3210, 547, 28243, 262, 14262, 3329 ]

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

[ 1261, 272, 580, 565, 663, 23542, 819, 20381, 6901, 269, 2311, 519, 7662, 540, 4515, 269, 14811, 4565, 611, 267, 10615, 540, 14351, 27048, 25076, 267, 12417, 616, 1373, 1500, 547, 10141, 513, 942, 5365, 9967, 540, 513, 6024, 3126, 540, 24754, 15956, 689, 476, 1556, 269, 4962, 547, 476, 1626, 269, 736, 772, 11053, 269, 1282, 519, 24256, 593, 2904, 476, 736, 267, 476, 3707, 278, 269, 1452, 6786, 786, 581, 2234, 7007, 689, 681, 1872, 2421, 717, 16576, 593, 476, 1626, 737, 322, 32220, 338, 543, 689, 1079, 9290, 2406, 9859, 2110, 5951, 10141, 1562, 799, 723, 1044, 21248, 585, 519, 3483, 676, 519, 9316, 540, 519, 23910, 2987, 16644, 3971, 267, 5403, 8433, 563, 4263, 5682, 16049, 513, 19239, 26273, 6417, 676, 10374, 339, 476, 6858, 814, 1044, 3246, 513, 15395, 3028, 540, 3670, 1673, 1824, 942, 6786, 585, 519, 645, 11065, 5861, 269, 543, 5662, 569, 6786, 585, 519, 5403, 8433, 269, 10313, 11143, 1063, 713, 9219, 543, 1346, 693, 2806, 5424, 723, 1044, 1500, 3232, 936, 513, 2244, 11060, 269, 634, 9075, 267, 12123, 269, 3937, 267, 543, 1852, 4604, 585, 519, 3670, 21247, 23234, 723, 1044, 8704, 543, 960, 568, 538, 3356, 538, 7041, 585, 519, 6765, 540, 519, 23234, 2933, 563, 763, 5234, 540, 519, 11418, 8047, 814, 24625, 730, 538, 519, 1374, 540, 3937, 585, 519, 1852, 4055, 267, 543, 538, 519, 4070, 540, 930, 540, 519, 4559, 269, 634, 8097, 31092, 267, 799, 729, 4330, 2063, 1032, 267, 729, 538, 946, 2394, 4989, 476, 2537, 585, 519, 5982, 540, 519, 476, 273, 5062, 4882, 3044, 4908, 18993, 3827, 269, 1323, 19666, 12805, 1770, 814, 1044, 2966, 543, 1500, 267, 543, 513, 9645, 2333, 538, 2234, 7007, 1379, 814, 1044, 1198, 539, 269, 589, 476, 4968, 26910, 31092, 814, 1631, 1044, 9862, 585, 713, 3483, 267, 543, 814, 1044, 538, 946, 2094, 4989, 476, 2190, 269, 769, 519, 1374, 540, 519, 476, 1911, 737, 322, 32220, 338, 547, 476, 273, 5062, 4882, 20303, 1390, 3007, 814, 1044, 2016, 547, 17516, 513, 1164, 5123, 6617, 269, 1234, 4003, 568, 4080, 547, 581, 7357, 25685, 693, 519, 5403, 8433, 3194, 8534, 14898, 543, 693, 519, 3703, 16340, 26511, 15278, 25547, 1516, 13749, 267, 543, 8856, 4908, 16198, 616, 1500, 3232, 269, 589, 5639, 23318, 814, 8719, 519, 2849, 572, 1289, 1129, 5892, 6964, 543, 693, 519, 1439, 540, 1142, 6771, 267, 513, 1008, 29850, 15494, 547, 519, 2234, 7007, 4908, 568, 2016, 269, 18043, 15175, 267, 1110, 6819, 543, 5464, 3937, 585, 10859, 22052, 11703, 5106, 540, 519, 31092, 814, 1044, 2966, 267, 9112, 543, 7318, 267, 543, 568, 1631, 538, 1576, 540, 10380, 563, 763, 1279, 5951, 17513, 267, 4628, 4330, 538, 519, 476, 3707, 276, 1867, 267, 814, 1044, 2417, 9168, 269, 589, 1007, 5925, 23151, 1770, 267, 609, 2362, 2744, 547, 11863, 2500, 5106, 593, 26838, 313, 267, 799, 3947, 513, 2539, 5365, 4222, 982, 717, 16576, 267, 814, 1044, 2966, 543, 568, 1631, 896, 4070, 269, 4033, 12381, 723, 1044, 1500, 547, 1118, 519, 17513, 1582, 19295, 9535, 538, 922, 11941, 267, 543, 811, 11741, 563, 763, 7872, 540, 1210, 4908, 3900, 619, 540, 519, 13942, 10203, 1826, 1524, 547, 1360, 1970, 12451, 267, 3976, 7006, 14819, 609, 943, 4577, 16546, 267, 568, 1373, 11567, 269, 1703, 616, 1082, 3156, 538, 799, 519, 2144, 7806, 923, 7915, 538, 943, 4577, 16546, 3112, 581, 7109, 730, 267, 543, 621, 568, 4397, 602, 713, 3900, 518, 949, 1265, 3096, 6306, 689, 519, 1279, 5951, 17513, 4152, 3937, 585, 799, 621, 729, 5097, 5497, 269, 1280, 713, 4152, 3937, 2027, 5276, 942, 3490, 11387, 723, 1044, 2966, 543, 7318, 543, 513, 6712, 540, 519, 30932, 18422, 8546, 3937, 814, 1044, 9112, 563, 763, 7797, 1934, 4843, 4016, 547, 519, 1974, 689, 476, 3707, 278, 2904, 476, 272, 547, 476, 3707, 279, 4989, 476, 1789, 543, 15225, 519, 1533, 540, 519, 25076, 593, 519, 2063, 3957, 1554, 563, 296, 269, 16140, 338, 543, 29844, 563, 5416, 264, 5682, 16049, 269, 2560, 634, 2025, 16592, 17270, 18740, 814, 1044, 1500, 883, 513, 6513, 18740, 585, 519, 3670, 21247, 23234, 282, 621, 814, 1044, 3177, 609, 513, 1007, 18109, 543, 556, 11546, 14585, 730, 267, 607, 814, 519, 2025, 29942, 18740, 563, 6357, 264, 2806, 5424, 269, 589, 1007, 23510, 9505, 614, 814, 1044, 19034, 547, 519, 8122, 540, 519, 645, 600, 6199, 18302, 554, 583, 269, 589, 1297, 540, 5906, 4054, 538, 519, 7525, 25610, 540, 519, 5656, 610, 536, 867, 1359, 593, 1857, 3723, 12949, 338, 723, 1044, 535, 8215, 269, 634, 20662, 2218, 6703, 723, 1044, 6905, 267, 543, 5634, 1568, 540, 7816, 543, 5826, 5645, 856, 269, 12071, 2803, 1417, 8654, 814, 1044, 8704, 2429, 519, 13646, 267, 20682, 267, 13186, 543, 1852, 4055, 563, 2862, 269, 29698, 267, 2561, 541, 9850, 543, 7732, 563, 763, 645, 600, 6199, 7745, 18302, 267, 799, 1185, 1044, 1360, 8499, 11028, 1288, 539, 538, 519, 25076, 13186, 267, 729, 8704, 693, 2806, 5424, 538, 5147, 269, 634, 9187, 1824, 1185, 1044, 26388, 13807, 730, 543, 1287, 561, 11474, 676, 1688, 609, 3573, 631, 1731, 8527, 770, 7403, 269, 4256, 3803, 4137, 8977, 539, 689, 519, 9764, 676, 513, 1360, 1906, 4627, 2195, 540, 513, 25050, 1152, 269, 634, 4890, 10512, 4137, 267, 1519, 519, 2360, 540, 3282, 543, 782, 6959, 540, 2542, 267, 568, 971, 602, 513, 2898, 3781, 779, 2157, 4749, 2887, 1134, 1369, 606, 2949, 2039, 540, 513, 2034, 540, 9095, 267, 543, 865, 2484, 607, 666, 581, 24565, 676, 5920, 519, 26388, 568, 7555, 909, 1134, 547, 5957, 269, 634, 3803, 14649, 540, 513, 3781, 779, 7422, 568, 827, 1079, 555, 8674, 540, 602, 5892, 5833, 609, 9540, 3690, 527, 667, 563, 22102, 3690, 527, 667, 3294, 1185, 29285, 14016, 730, 282, 621, 729, 32585, 689, 946, 538, 5130, 267, 2094, 621, 1223, 1100, 3476, 1118, 513, 6190, 9295, 547, 17854, 519, 11668, 3238, 269, 3690, 527, 595, 568, 693, 1459, 1373, 9168, 693, 5682, 16049, 547, 5372, 621, 282, 519, 9187, 1824, 723, 1044, 726, 730, 543, 23125, 267, 519, 1007, 26149, 1606, 2448, 814, 1044, 8704, 267, 543, 513, 2597, 3146, 12340, 1324, 10591, 568, 1373, 3773, 269, 3690, 527, 645, 267, 799, 568, 693, 1459, 538, 946, 693, 5682, 16049, 609, 16243, 5374, 9187, 1824, 267, 568, 11173, 547, 2285, 1434, 3028, 267, 855, 782, 891, 1875, 1532, 549, 5287, 7405, 7985, 689, 519, 2721, 3724, 602, 519, 1193, 4575, 7400, 1590, 16111, 581, 6569, 543, 8719, 267, 609, 513, 1981, 540, 7133, 922, 4642, 267, 543, 609, 519, 3978, 19319, 602, 519, 1377, 666, 1152, 581, 5116, 593, 519, 22141, 538, 1978, 7158, 267, 865, 602, 21376, 5957, 2164, 269, 589, 10325, 585, 16304, 519, 1377, 676, 1279, 1045, 541, 22203, 267, 865, 602, 621, 666, 3251, 18385, 538, 1747, 267, 568, 896, 7156, 267, 543, 930, 960, 814, 849, 1044, 2944, 593, 606, 9804, 1377, 1782, 1505, 5473, 513, 11604, 15841, 593, 513, 31181, 28764, 607, 513, 3044, 7299, 7077, 563, 763, 3670, 21247, 14848, 267, 2516, 589, 543, 674, 267, 941, 8704, 693, 5682, 16049, 2038, 538, 519, 4832, 540, 476, 3707, 278, 543, 723, 8669, 1221, 1524, 865, 4794, 26476, 1176, 602, 789, 616, 2907, 1851, 519, 1655, 538, 519, 25076, 269, 630, 1607, 568, 1100, 8969, 14356, 1813, 547, 519, 1249, 602, 789, 1185, 5892, 1044, 2196, 585, 6905, 5712, 538, 519, 5403, 8433, 20682, 1040, 1717, 267, 519, 3002, 2919, 676, 741, 6117, 543, 25581, 11387, 568, 971, 602, 519, 17102, 568, 4881, 5906, 569, 2282, 519, 2837, 693, 799, 15059, 949, 581, 4397, 269, 28081, 906, 616, 1373, 1500, 547, 5887, 30968, 519, 7750, 2873, 547, 513, 4756, 6708, 267, 865, 607, 547, 11863, 1852, 693, 513, 2539, 2837, 269, 634, 2837, 568, 849, 12517, 8200, 267, 693, 1459, 267, 593, 519, 1292, 338, 6453, 267, 543, 513, 6453, 15696, 15975, 568, 547, 581, 8704, 563, 4263, 2806, 5424, 267, 519, 1007, 1852, 4055, 814, 1044, 6192, 18481, 547, 3142, 621, 883, 2407, 5106, 269, 634, 960, 814, 3144, 1614, 1296, 267, 543, 1498, 513, 9645, 1297, 540, 27644, 2242, 538, 4170, 723, 7018, 2094, 621, 729, 1101, 9709, 621, 4667, 1134, 9862, 547, 1459, 2115, 267, 543, 519, 2489, 960, 540, 5365, 3146, 4003, 543, 9219, 10687, 1706, 2581, 814, 1044, 7494, 19658, 269, 634, 1995, 6591, 786, 581, 540, 1390, 1871, 538, 4058, 519, 12417, 693, 4173, 560, 3000, 576, 5060, 563, 763, 1007, 5365, 20675, 2466, 1154, 16546, 723, 1044, 4607, 689, 11619, 3464, 269, 16334, 597, 3650, 267, 855, 1454, 8097, 543, 4070, 531, 960, 786, 723, 547, 581, 6192, 1354, 789, 666, 581, 8704, 269, 1306, 824, 811, 14849, 960, 267, 971, 607, 12381, 547, 519, 12627, 27687, 520, 1852, 11387, 267, 1869, 3788, 547, 581, 6192, 267, 621, 568, 12691, 602, 519, 16546, 786, 581, 4547, 883, 946, 1354, 519, 1439, 540, 713, 1032, 269, 24410, 1076, 814, 1044, 4810, 5063, 609, 519, 3001, 18396, 559, 12225, 21106, 269, 1358, 723, 2016, 1279, 543, 3407, 3028, 267, 855, 519, 6006, 540, 10682, 27810, 814, 1044, 25356, 543, 1100, 1007, 2707, 540, 3761, 814, 1044, 1336, 269, 634, 3001, 18396, 559, 4559, 723, 9935, 1044, 8719, 609, 9168, 543, 17370, 895, 8701, 1242, 882, 904, 267, 799, 723, 513, 1360, 1769, 3001, 1770, 269, 1358, 616, 4758, 513, 2773, 799, 19776, 7957, 2227, 29087, 609, 602, 5892, 5833, 563, 288, 4579, 814, 1044, 5116, 585, 519, 3761, 540, 1079, 5617, 514, 12225, 21106, 2147, 547, 1346, 1031, 693, 519, 13163, 4139, 632, 561, 685, 3891, 675, 269, 1452, 12225, 21106, 616, 16887, 2966, 585, 519, 10916, 540, 1611, 6066, 543, 24754, 942, 1606, 793, 1023, 267, 543, 1058, 2743, 519, 1279, 1922, 3881, 991, 585, 513, 8628, 2594, 547, 7110, 519, 8856, 7403, 1500, 2009, 609, 519, 8918, 4831, 12225, 18852, 269, 589, 681, 1001, 17784, 4763, 17513, 814, 1044, 1500, 2139, 593, 10211, 676, 519, 2782, 8433, 538, 1931, 547, 8495, 922, 29839, 585, 519, 21200, 540, 11397, 5925, 942, 1606, 793, 1023, 269, 634, 4255, 616, 16607, 267, 2705, 267, 533, 2056, 12032, 540, 16395, 585, 519, 552, 14431, 540, 5078, 7098, 10118, 563, 10702, 6901, 593, 21200, 540, 1279, 2914, 1511, 942, 1606, 793, 1023, 723, 1044, 5645, 856, 543, 267, 607, 513, 1267, 267, 513, 1007, 18634, 17513, 814, 1044, 8704, 543, 3379, 609, 519, 3105, 2203, 269, 3245, 519, 1995, 6591, 267, 543, 607, 513, 1267, 540, 2417, 8097, 960, 538, 519, 11418, 8047, 267, 513, 1007, 1374, 814, 1044, 5423, 543, 2185, 2256, 1392, 616, 1631, 896, 4070, 269, 5565, 786, 581, 1031, 693, 2806, 5424, 267, 543, 1079, 693, 5682, 16049, 538, 10682, 540, 519, 31288, 1399, 4806, 1279, 2914, 1511, 17513, 1631, 17303, 6964, 563, 763, 2025, 1852, 4055, 814, 1631, 1044, 4625, 23498, 540, 3937, 609, 519, 9868, 540, 519, 28764, 23234, 267, 543, 786, 581, 1031, 547, 2777, 519, 21247, 9219, 5833, 689, 519, 4284, 1731, 23653, 3832, 2073, 20007, 27528, 25415, 338, 534, 560, 5306, 269, 1323, 6514, 540, 713, 9219, 543, 540, 922, 2110, 3856, 2773, 814, 1044, 6192, 693, 519, 5403, 269, 8433, 15571, 25032, 8534, 14898, 267, 543, 568, 9034, 2213, 538, 15571, 25032, 7797, 476, 14065, 271, 269, 898, 568, 12479, 547, 1305, 519, 9219, 538, 5106, 693, 2806, 5424, 267, 1927, 609, 1007, 3900, 518, 3937, 543, 519, 3312, 4436, 943, 4577, 5179, 267, 543, 547, 3313, 922, 6617, 936, 1279, 5712, 563, 7656, 13562, 13929, 543, 15571, 17325, 725, 454, 763, 1739, 7422, 585, 9219, 5470, 723, 1044, 5833, 1282, 519, 5712, 7150, 281, 8894, 347, 6781, 5424, 267, 9540, 3690, 527, 667, 630, 1729, 3967, 269, 476, 736, 10534, 10463, 2008, 347, 6781, 5424, 267, 645, 600, 6199, 630, 5228, 5147, 476, 1724, 10534, 6642, 2008, 347, 16675, 16049, 267, 9540, 3690, 527, 645, 630, 20204, 10534, 17734, 2008, 763, 1804, 1297, 540, 7422, 630, 18034, 693, 5682, 16049, 264, 814, 1044, 1500, 2009, 1152, 676, 2348, 1079, 11645, 593, 835, 3781, 8164, 1316, 27809, 269, 901, 267, 1927, 609, 519, 1249, 602, 1360, 1906, 24319, 941, 7722, 630, 520, 5682, 16049, 1152, 1079, 264, 814, 14320, 8669, 1221, 519, 2123, 4834, 267, 543, 513, 18476, 6454, 538, 2949, 6111, 814, 8507, 267, 538, 1840, 547, 9283, 540, 15747, 5169, 269, 2311, 519, 1482, 942, 267, 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 ]

[ 4855, 519, 2450, 540, 519, 29571, 693, 519, 2063, 4994, 563, 825, 630, 273, 264, 1403, 519, 2450, 20489, 4390, 630, 275, 13211, 1038, 26905, 3399, 513, 1007, 10518, 693, 519, 1985, 4994, 543, 7903, 519, 1007, 3693, 883, 602, 1007, 10518, 693, 602, 1007, 4994, 563, 825, 630, 274, 264, 1403, 519, 2450, 11298, 2464, 10691, 9765, 4390, 2676, 1038, 26905, 6875, 519, 29571, 693, 602, 4994, 543, 16289, 27969, 454, 825, 1219, 7903, 4311, 267, 6221, 2187, 1038, 952, 7003, 4311, 15126, 15058, 14067, 2931, 264, 2652, 476, 271, 912, 2018, 1582, 15126, 15058, 14067, 2931, 6910, 8443, 14403, 7481, 1038, 3116, 912, 2018, 952, 7003, 4311, 15126, 15058, 14067, 2931, 15631, 272, 8079, 3436, 476, 274, 912, 3546, 1582, 15126, 15058, 14067, 2931, 6910, 8443, 14403, 7481, 2018, 3116, 912, 3546, 1582, 15126, 15058, 14067, 2931, 15631, 272, 4940, 6572, 263, 14403, 9239, 825, 8173, 825, 630, 272, 264, 4855, 519, 2450, 540, 519, 29571, 693, 519, 2063, 4994, 563, 825, 630, 273, 264, 1403, 519, 2450, 568, 1175, 476, 272, 2676, 1038, 26905, 2422, 519, 29571, 1547, 16647, 3890, 5106, 547, 3097, 2018, 630, 272, 264, 4688, 519, 1871, 543, 2132, 621, 267, 543, 849, 3097, 2018, 630, 273, 264, 4894, 519, 2898, 29571, 689, 602, 4994, 538, 519, 26275, 563, 825, 630, 274, 264, 1403, 519, 2450, 20489, 476, 272, 2676, 1038, 4534, 3807, 1491, 519, 29571, 693, 602, 4994, 543, 946, 519, 10518, 1547, 16647, 3890, 1505, 563, 825, 8173, 825, 1219, 1402, 4311, 2187, 1038, 952, 7003, 4311, 15126, 15058, 14067, 2931, 264, 2652, 476, 271, 912, 2018, 6318, 8745, 13286, 2891, 4692, 1405, 4894, 4376, 689, 606, 8900, 5044, 540, 588, 2931, 32405, 1038, 3116, 912, 2018, 3077, 21223, 2211, 815, 1582, 15126, 15058, 14067, 2931, 15631, 272, 6012, 268, 272, 2639, 2018, 952, 7003, 4311, 15126, 15058, 14067, 2931, 15631, 272, 8079, 2652, 476, 272, 912, 3546, 1642, 1582, 15126, 15058, 14067, 2931, 15631, 272, 2639, 2018, 3116, 912, 3546, 1642, 1582, 15126, 15058, 14067, 2931, 15631, 272, 6012, 268, 272, 2639, 2018, 2132, 3077, 21223, 2211, 22562, 13729, 8170, 1805, 2931, 815, 5590, 8170, 1805, 2931, 0, 5814, 4351, 692, 5035, 23030, 21698, 24998, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 1871, 815, 7183, 267, 2451, 815, 7183, 267, 1318, 815, 7183, 2187, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 454, 1038, 1582, 27841, 815, 1871, 692, 825, 1219, 1205, 19056, 4311, 2187, 1038, 2132, 1582, 27841, 692, 825, 1219, 1305, 19056, 4311, 267, 1871, 2187, 1038, 1582, 27841, 815, 1871, 454, 1038, 2132, 1582, 10947, 19056, 10797, 825, 1219, 1205, 318, 2431, 4311, 2187, 1038, 2132, 1582, 16192, 692, 825, 1219, 1205, 318, 3847, 4311, 2187, 1038, 2132, 1582, 16000, 692, 825, 1219, 1305, 318, 2431, 4311, 267, 6978, 2187, 1038, 1582, 16192, 815, 6978, 454, 1038, 2132, 1582, 10947, 318, 2431, 10797, 825, 1219, 1305, 318, 3847, 4311, 267, 6978, 2187, 1038, 1582, 16000, 815, 6978, 454, 1038, 2132, 1582, 10947, 318, 3847, 10797, 825, 1219, 607, 18380, 4311, 2187, 1038, 952, 1582, 16000, 568, 7183, 543, 1582, 16192, 568, 7183, 912, 2018, 2132, 1582, 27841, 454, 1038, 3116, 912, 2018, 3529, 18380, 815, 13634, 3546, 1412, 3847, 9166, 7183, 2676, 3546, 1412, 7407, 9166, 1582, 27841, 2676, 3546, 1412, 2431, 9166, 7183, 454, 2018, 7684, 454, 2018, 952, 1582, 16000, 568, 711, 7183, 912, 25639, 3529, 18380, 9131, 3847, 11172, 815, 1582, 16000, 269, 553, 18380, 4590, 2018, 952, 1582, 16192, 568, 711, 7183, 912, 25639, 3529, 18380, 9131, 2431, 11172, 815, 1582, 16192, 269, 553, 18380, 10797, 1038, 2132, 3529, 18380, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1582, 269, 553, 18380, 10797, 3698, 1205, 318, 12690, 8217, 318, 842, 17338, 28747, 815, 476, 1015, 267, 1295, 318, 842, 815, 476, 271, 267, 3193, 318, 842, 815, 476, 1015, 2187, 825, 2132, 1496, 12690, 27110, 263, 2381, 318, 842, 267, 3193, 318, 842, 264, 585, 1775, 538, 1535, 9792, 17338, 28747, 264, 6540, 3698, 1205, 318, 12690, 4671, 872, 263, 548, 12069, 815, 476, 1015, 2187, 825, 3597, 815, 23030, 21698, 263, 12690, 27110, 263, 271, 267, 1015, 4917, 825, 952, 2157, 2652, 476, 272, 912, 1038, 2132, 3597, 454, 825, 8640, 2157, 3436, 476, 272, 912, 1038, 3597, 15630, 318, 3847, 263, 1326, 318, 12690, 4671, 872, 263, 548, 12069, 910, 476, 272, 4917, 1038, 3597, 15630, 318, 2431, 263, 1326, 318, 12690, 4671, 872, 263, 548, 12069, 910, 476, 272, 4917, 825, 3116, 912, 1038, 6318, 1401, 4003, 692, 825, 2132, 3597, 454, 0, 18851, 1477, 14030, 23526, 5358, 24265, 594, 1477, 14030, 17264, 1477, 825, 674, 7419, 5746, 2177, 2464, 281, 661, 329, 2075, 545, 1470, 476, 272, 5897, 825, 2677, 541, 1503, 548, 19448, 30775, 542, 6446, 973, 756, 320, 512, 637, 6746, 657, 27082, 643, 657, 586, 1821, 3241, 9366, 1714, 25650, 632, 17485, 512, 637, 1477, 825, 21088, 23313, 1609, 324, 1965, 796, 4815, 630, 16673, 528, 1609, 878, 1729, 1040, 2037, 8732, 334, 632, 1100, 2291, 597, 1714, 25650, 1609, 878, 1729, 267, 1821, 565, 591, 910, 272, 23228, 825, 1100, 3351, 714, 541, 1766, 611, 2803, 561, 6759, 11551, 657, 630, 663, 267, 528, 267, 2254, 1040, 2677, 541, 2651, 541, 512, 3711, 328, 26408, 796, 1982, 320, 16948, 3824, 637, 541, 1477, 825, 17485, 512, 637, 1130, 2803, 267, 1045, 665, 541, 513, 3288, 1187, 857, 11252, 586, 1034, 32057, 1714, 544, 5451, 343, 24982, 10689, 5964, 267, 1477, 825, 522, 796, 544, 839, 1690, 324, 1217, 520, 16343, 23313, 1609, 324, 1100, 2291, 324, 23228, 567, 12843, 21228, 21228, 6303, 27702, 5897, 14030, 14030, 4449, 13376, 5727, 1477, 258, 293, 772, 715, 595, 594, 744, 715, 1477, 3698, 25650, 15307, 878, 1729, 5719, 307, 637, 5416, 14720, 22698, 8029, 825, 759, 15871, 272, 1477, 825, 17028, 284, 271, 1477, 825, 5302, 284, 271, 1477, 825, 952, 513, 3436, 536, 6769, 1038, 952, 513, 3436, 524, 6769, 2018, 17028, 30381, 1477, 2018, 952, 536, 3436, 524, 6769, 3546, 5302, 284, 321, 1477, 2018, 3116, 6769, 3546, 5302, 284, 322, 1477, 1038, 3116, 6769, 2018, 17028, 284, 322, 1477, 2018, 5302, 30381, 1477, 825, 3116, 6769, 1038, 952, 536, 3436, 524, 6769, 2018, 17028, 284, 321, 1477, 2018, 952, 513, 3436, 524, 6769, 3546, 5302, 30381, 1477, 2018, 3116, 6769, 3546, 5302, 284, 322, 1477, 1038, 3116, 6769, 2018, 17028, 284, 322, 1477, 2018, 5302, 284, 321, 1477, 825, 952, 17028, 11203, 5302, 6769, 1038, 759, 284, 3064, 1477, 825, 2132, 759, 672, 5897, 258, 623, 681, 744, 717, 681, 589, 631, 589, 21506, 333, 549, 272, 25507, 9272, 2891, 28808, 516, 572, 1714, 29194, 1003, 3266, 281, 834, 17903, 333, 549, 273, 25507, 9272, 2891, 28808, 516, 572, 1714, 5302, 1495, 334, 1003, 3266, 281, 834, 17903, 333, 549, 274, 25507, 9272, 2891, 28808, 516, 572, 1714, 1768, 1356, 1003, 3266, 281, 834, 17903, 16673, 528, 284, 16673, 528, 15307, 878, 1729, 5719, 307, 637, 3799, 549, 272, 19885, 549, 273, 19885, 549, 274, 3418, 604, 25650, 11203, 910, 272, 6769, 825, 1820, 2891, 14976, 25650, 1003, 3266, 1965, 281, 14307, 25650, 267, 834, 10590, 3418, 12828, 6769, 825, 1820, 2891, 5591, 2291, 324, 796, 1003, 3266, 25650, 1303, 516, 17485, 512, 637, 256, 2433, 263, 834, 10142, 18851, 1477, 567, 12843, 21228, 21228, 6303, 1693, 5897, 825, 661, 1598, 1538, 807, 6769, 3546, 5487, 18085, 21059, 632, 7989, 583, 30685, 525, 632, 476, 274, 3693, 657, 1965, 476, 274, 256, 23228, 3546, 1477, 3546, 2037, 476, 274, 632, 15255, 476, 277, 7989, 583, 30685, 525, 1064, 17156, 267, 513, 3436, 536, 586, 679, 15255, 17333, 6652, 476, 274, 267, 513, 2999, 536, 23228, 3546, 589, 647, 1654, 345, 267, 679, 5605, 657, 8732, 657, 267, 2291, 523, 476, 273, 1064, 756, 559, 573, 3547, 632, 7989, 583, 541, 524, 1547, 1477, 3546, 2037, 3490, 513, 1965, 320, 561, 6759, 326, 3821, 267, 694, 533, 4240, 324, 6516, 541, 1714, 3473, 528, 527, 15879, 6446, 1999, 2088, 1477, 3546, 24140, 5451, 956, 5067, 15255, 476, 273, 2215, 10327, 1064, 20601, 525, 2891, 3064, 257, 586, 834, 572, 326, 20257, 1477, 3546, 10507, 683, 806, 9222, 26453, 518, 20393, 16948, 561, 826, 2998, 2357, 881, 541, 6446, 1714, 25650, 4262, 1609, 878, 1729, 23228, 4449, 1477, 3546, 5487, 1768, 1356, 320, 1064, 545, 18059, 1100, 1104, 320, 267, 11188, 4302, 11863, 574, 657, 6446, 2291, 534, 476, 273, 2367, 2803, 28075, 783, 525, 269, 21506, 4449, 1477, 3546, 4432, 1267, 5964, 6446, 1821, 3241, 557, 3288, 30775, 542, 521, 22044, 2181, 1965, 910, 272, 23228, 3546, 3131, 334, 23313, 834, 3064, 257, 586, 834, 572, 326, 257, 5067, 1253, 842, 657, 267, 1542, 320, 6446, 18720, 796, 25650, 1609, 878, 1729, 586, 267, 21506, 3546, 521, 6759, 5979, 679, 1609, 324, 8732, 334, 267, 1267, 5964, 547, 2742, 1714, 27089, 632, 834, 3064, 2668, 1477, 567, 12843, 21228, 21228, 6303, 1693, 5897, 14030, 14030, 4449, 13376, 5727, 1477, 0, 3698, 15377, 263, 3000, 20364, 267, 18085, 21059, 2187, 825, 1267, 815, 476, 271, 454, 825, 1948, 12507, 20364, 16402, 454, 825, 952, 1395, 20364, 2652, 476, 272, 281, 3097, 1038, 1267, 815, 18085, 21059, 2608, 476, 272, 269, 1240, 454, 1038, 1820, 6600, 257, 346, 322, 656, 21059, 348, 20789, 338, 5973, 523, 513, 2715, 14310, 348, 12373, 4100, 19515, 825, 1948, 12507, 20364, 9779, 1723, 842, 454, 825, 8640, 1395, 20364, 2652, 476, 273, 912, 1038, 1267, 815, 18085, 21059, 2608, 476, 14444, 3374, 269, 2568, 3097, 1038, 1820, 630, 325, 257, 346, 322, 656, 21059, 348, 3787, 23915, 5973, 523, 513, 2715, 14310, 348, 12373, 4100, 19515, 825, 1948, 12507, 20364, 3624, 454, 825, 8640, 1395, 20364, 2652, 476, 274, 912, 1038, 1267, 815, 18085, 21059, 2608, 476, 271, 269, 1428, 454, 1038, 1820, 630, 325, 257, 346, 322, 656, 21059, 348, 586, 340, 6951, 5973, 523, 513, 2715, 14310, 348, 257, 12467, 825, 1948, 302, 339, 549, 454, 825, 3116, 281, 3097, 1038, 1820, 2891, 28808, 25564, 21088, 796, 1003, 3266, 632, 3288, 30458, 834, 2020, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 10778, 825, 2119, 912, 1038, 1395, 20364, 815, 703, 9272, 2891, 3269, 454, 1038, 16016, 25564, 1714, 538, 573, 823, 632, 3288, 1395, 20364, 6446, 844, 773, 637, 4780, 597, 513, 12373, 4100, 912, 2018, 1496, 272, 316, 3933, 20364, 20789, 513, 546, 6897, 454, 2018, 1496, 273, 316, 3933, 20364, 19682, 513, 546, 6897, 454, 2018, 1496, 274, 316, 3933, 20364, 586, 10224, 513, 546, 6897, 454, 1038, 1530, 548, 322, 542, 320, 281, 18851, 4917, 1038, 1820, 2891, 20594, 11960, 265, 5602, 1038, 18085, 21059, 815, 703, 9272, 2891, 28808, 25564, 3288, 18085, 21059, 6446, 844, 773, 637, 12768, 339, 597, 27363, 1038, 15377, 263, 3000, 20364, 267, 18085, 21059, 994, 825, 4849, 912, 1038, 1820, 2891, 7052, 2207, 305, 3036, 7052, 5602, 1038, 1820, 2891, 303, 528, 3870, 267, 16016, 516, 572, 21088, 1130, 2803, 25948, 657, 5602, 0, 5035, 623, 19991, 912, 825, 8173, 825, 815, 2525, 284, 3430, 25572, 4499, 454, 825, 2012, 281, 12328, 2012, 454, 825, 1883, 281, 4062, 7121, 454, 825, 2681, 281, 1412, 337, 610, 1412, 321, 7055, 825, 4994, 281, 1412, 272, 262, 610, 1412, 273, 7055, 825, 1064, 281, 4062, 2990, 692, 825, 815, 2525, 284, 24709, 4499, 454, 825, 568, 7272, 19991, 263, 2567, 2638, 8900, 610, 4062, 692, 825, 29185, 825, 2012, 815, 7183, 454, 825, 1883, 815, 7183, 454, 825, 2681, 815, 7183, 454, 825, 4994, 815, 7183, 454, 825, 1064, 815, 29129, 825, 1219, 6449, 8181, 9191, 1345, 267, 2012, 267, 1064, 2187, 1038, 952, 2012, 568, 711, 7183, 543, 1064, 568, 711, 7183, 912, 2018, 1582, 20508, 815, 2012, 454, 2018, 1582, 269, 4486, 815, 2012, 314, 272, 2639, 2018, 1582, 269, 10233, 815, 2012, 314, 271, 2639, 2018, 1582, 28827, 815, 2012, 314, 273, 2639, 2018, 1582, 269, 1842, 815, 1064, 454, 1038, 3116, 912, 2018, 1582, 20508, 815, 7183, 692, 825, 1219, 568, 7272, 19991, 4311, 2187, 1038, 952, 1582, 20508, 568, 7183, 912, 2018, 2132, 8771, 454, 1038, 2132, 6936, 692, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 952, 1582, 20508, 568, 711, 7183, 912, 2018, 2132, 1582, 20508, 454, 1038, 3116, 912, 2018, 2132, 1412, 24105, 4062, 7055 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3873, 27968, 547, 6338, 3755, 547, 590, 454, 24783, 476, 5780, 476, 1556, 11586, 3367, 811, 454, 1607, 1433, 3382, 2370, 3564, 519, 7746, 12319, 602, 781, 1331, 585, 1863, 269, 1403, 707, 3978, 827, 1210, 7746, 2676, 4391, 280, 476, 11025, 476, 276, 11586, 3367, 811, 454, 1607, 4320, 12116, 519, 1995, 540, 27782, 16330, 779, 5912, 936, 519, 2250, 476, 1789, 1296, 267, 7713, 519, 2797, 543, 552, 935, 454, 1960, 476, 1428, 476, 280, 11586, 3367, 811, 454, 288, 10875, 3308, 543, 2123, 3460, 538, 3406, 540, 519, 11599, 2462, 3032, 267, 519, 6777, 682, 16985, 269, 634, 6777, 682, 16985, 267, 1634, 607, 555, 454, 27244, 476, 5038, 476, 7830, 11586, 3367, 811, 454, 763, 2551, 540, 519, 14655, 682, 16985, 630, 303, 656, 515, 571, 533, 731, 639, 1094, 13877, 565, 528, 264, 814, 20427, 17379, 282, 713, 7489, 682, 16985, 7449, 29347, 773, 454, 30420, 476, 6507, 476, 1724, 11586, 3367, 811, 454, 18770, 823, 543, 2553, 602, 596, 991, 547, 1205, 519, 2816, 2944, 269, 18391, 585, 2081, 547, 20928, 707, 960, 865, 602, 596, 666, 1445, 454, 21878, 476, 14056, 476, 4391, 11586, 3367, 811, 454, 1607, 1433, 568, 519, 4241, 2594, 540, 1546, 309, 9369, 779, 5880, 1228, 547, 4688, 519, 4639, 689, 3294, 269, 1547, 1547, 1547, 3571, 7440, 267, 1202, 3010, 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, 20154, 26306, 543, 8682, 268, 18719, 22777, 538, 519, 15840, 5451, 262, 6403, 18321, 692, 763, 15840, 5451, 262, 6403, 18321, 267, 8547, 538, 519, 4571, 5991, 12078, 2540, 538, 1018, 568, 1631, 2413, 6377, 9459, 267, 11363, 519, 2956, 540, 5289, 7004, 543, 1582, 21553, 2889, 22777, 607, 1898, 3334, 540, 922, 10752, 269, 634, 5132, 8992, 9322, 543, 10103, 1851, 782, 1004, 267, 7488, 540, 741, 22874, 267, 5198, 267, 4008, 267, 610, 14227, 4282, 269, 901, 1557, 786, 5490, 883, 519, 3741, 543, 2853, 602, 6536, 5289, 2208, 543, 1582, 21553, 2889, 22777, 1369, 519, 2796, 540, 519, 15840, 5451, 262, 6403, 18321, 267, 5373, 4296, 1063, 891, 10752, 543, 4207, 2152, 971, 607, 1480, 2924, 543, 6848, 7130, 780, 23338, 14210, 1115, 540, 15840, 5451, 262, 6403, 17546, 902, 692, 6524, 3695, 519, 4798, 540, 5289, 7004, 543, 1582, 21553, 2889, 22777, 267, 621, 568, 2629, 547, 1174, 930, 4295, 4978, 540, 519, 15840, 5451, 262, 6403, 18321, 269, 7324, 873, 616, 1384, 265, 2201, 8864, 540, 2696, 281, 1703, 568, 1152, 835, 10143, 29763, 267, 945, 568, 3564, 1480, 8223, 563, 265, 30767, 540, 9671, 687, 281, 2353, 2101, 10764, 2671, 1455, 8129, 543, 6038, 6565, 689, 519, 1482, 10143, 2707, 269, 28626, 13414, 10522, 602, 8103, 11392, 1007, 3909, 18408, 693, 1114, 5933, 538, 1686, 998, 10143, 569, 12912, 3190, 12310, 899, 14062, 267, 30730, 267, 15584, 267, 17700, 267, 2098, 19660, 2120, 267, 4906, 2441, 267, 17124, 267, 519, 645, 5451, 321, 630, 295, 14283, 540, 519, 15840, 5451, 262, 6403, 18321, 1070, 543, 15840, 5451, 262, 340, 3513, 5451, 327, 630, 293, 10133, 540, 519, 15840, 5451, 262, 6403, 18321, 1916, 265, 24442, 9737, 3163, 543, 15215, 281, 5637, 2257, 543, 4984, 616, 10092, 2509, 1620, 4641, 282, 789, 9148, 2864, 982, 17591, 1142, 824, 563, 265, 18763, 27148, 540, 18266, 281, 3962, 1367, 814, 519, 5539, 547, 3406, 585, 5168, 10446, 267, 1863, 689, 14882, 543, 26608, 18727, 2093, 780, 293, 29183, 20154, 12618, 3414, 27302, 543, 25990, 692, 288, 4909, 2259, 538, 519, 15840, 5451, 262, 6403, 18321, 547, 7520, 5289, 1646, 568, 11755, 543, 9066, 269, 15840, 5451, 262, 6403, 338, 3494, 602, 2834, 2792, 609, 519, 23942, 11942, 6418, 4708, 267, 18791, 5837, 2418, 267, 543, 10597, 835, 781, 4390, 547, 2648, 1866, 14955, 3431, 269, 1358, 5431, 1079, 2010, 540, 19001, 281, 8078, 2218, 543, 1821, 10899, 269, 744, 4565, 580, 2218, 19001, 1590, 581, 973, 1243, 3232, 693, 1808, 2053, 267, 1247, 1821, 10899, 19001, 666, 581, 6035, 31380, 2429, 519, 1554, 269, 3958, 267, 7104, 10847, 2533, 1572, 715, 31106, 4303, 3171, 6814, 1683, 3255, 585, 18497, 11755, 543, 8086, 780, 306, 16291, 547, 11524, 607, 513, 11202, 3118, 27870, 25947, 2290, 781, 10886, 692, 1103, 12972, 609, 922, 8561, 593, 9322, 267, 519, 15840, 5451, 262, 6403, 18321, 19156, 3028, 547, 1866, 607, 513, 1797, 540, 2123, 1915, 6454, 269, 1635, 2502, 538, 6411, 540, 11587, 543, 8296, 267, 2043, 11349, 21644, 971, 607, 21548, 267, 9639, 267, 28908, 267, 543, 19807, 269, 5015, 267, 9525, 538, 2146, 20671, 2238, 2337, 3895, 1514, 22122, 543, 8994, 1489, 1851, 3309, 2516, 540, 1004, 269, 1280, 3236, 267, 15840, 5451, 262, 529, 1472, 519, 1158, 7119, 538, 1353, 10580, 267, 1453, 781, 5049, 267, 21738, 6107, 2516, 267, 543, 1821, 10899, 11401, 6322, 693, 16779, 2199, 2950, 543, 14637, 2318, 1689, 780, 11754, 7675, 4317, 12983, 3414, 31197, 543, 4065, 692, 289, 1695, 5451, 262, 6403, 338, 849, 11441, 585, 5289, 7004, 543, 1582, 21553, 2889, 22777, 676, 5466, 10296, 1514, 4145, 899, 1480, 2924, 19374, 267, 7130, 267, 543, 8635, 269, 634, 15840, 5451, 262, 6403, 4139, 7991, 8362, 22851, 538, 14223, 3646, 5059, 593, 5009, 5126, 267, 16701, 21899, 6710, 267, 14027, 2021, 781, 2924, 267, 543, 5885, 4264, 1646, 269, 5047, 267, 2069, 4249, 513, 11358, 1909, 538, 30015, 2043, 609, 1702, 543, 1983, 2556, 547, 3565, 25006, 547, 2486, 269, 1306, 5018, 4505, 267, 15840, 5451, 262, 529, 7500, 1585, 3872, 3292, 3358, 547, 2743, 519, 2115, 540, 1114, 2085, 2516, 269, 1452, 7341, 2832, 547, 1128, 650, 5683, 2418, 267, 2565, 3206, 5759, 267, 543, 513, 7029, 547, 4196, 8103, 780, 21010, 532, 15840, 5451, 262, 6403, 14362, 2060, 12634, 12694, 692, 2026, 23576, 676, 519, 3355, 1349, 3177, 267, 1082, 2477, 1869, 3068, 1713, 2591, 3823, 3540, 23118, 267, 5191, 540, 4082, 267, 543, 7130, 1996, 12790, 5095, 269, 16792, 15840, 5451, 262, 6403, 3741, 547, 2232, 891, 2152, 1223, 6556, 9621, 2164, 269, 1280, 1383, 1384, 265, 18964, 1930, 5188, 543, 16614, 11407, 1131, 948, 2149, 5191, 540, 4633, 543, 3895, 16268, 6278, 2066, 28836, 16752, 563, 265, 22716, 1944, 3838, 2418, 7915, 538, 782, 10764, 1522, 11574, 3392, 4115, 13253, 543, 6536, 7679, 28216, 9316, 563, 265, 18601, 11528, 3123, 540, 7130, 543, 15746, 3340, 13447, 539, 3646, 689, 1312, 22257, 5238, 543, 18523, 3906, 6131, 547, 30176, 1480, 15683, 780, 6962, 692, 9961, 713, 4901, 267, 649, 723, 8268, 875, 519, 15840, 5451, 262, 6403, 18321, 7512, 5289, 7004, 543, 1582, 21553, 2889, 22777, 3842, 11755, 543, 9066, 267, 3028, 547, 1866, 267, 543, 14223, 585, 1514, 5126, 269, 1635, 7311, 891, 3741, 538, 938, 2729, 543, 2950, 267, 649, 666, 960, 1927, 2509, 2679, 513, 811, 18900, 543, 12581, 1158, 1107, 835, 6353, 676, 9322, 267, 10892, 267, 543, 2463, 585, 1480, 2924, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12709, 11847, 2176, 14549, 7126, 18614, 1862, 20578, 7797, 910, 476, 273, 325, 27888, 323, 659, 271, 323, 12404, 5274, 7126, 18614, 11426, 7797, 1401, 1356, 14186, 281, 15787, 267, 9459, 267, 12925, 267, 12832, 31804, 7699, 267, 6576, 267, 27816, 13163, 540, 22640, 267, 5274, 7126, 267, 543, 8534, 23037, 676, 13474, 23037, 676, 8791, 769, 713, 3296, 1315, 15787, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 9459, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 12925, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 12832, 31804, 7699, 8791, 476, 273, 269, 21727, 585, 6406, 19115, 625, 267, 26451, 281, 513, 269, 15213, 540, 20309, 267, 26451, 585, 519, 4964, 8791, 476, 277, 269, 26521, 267, 5081, 13926, 2806, 4926, 267, 543, 3004, 16751, 538, 31080, 6576, 8791, 476, 273, 269, 1234, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 26306, 543, 8682, 268, 18719, 22777, 257, 607, 851, 540, 834, 32628, 1315, 15840, 320, 262, 328, 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, 6092, 5149, 281, 4197, 23027, 18289, 543, 29079, 18868, 692, 8702, 267, 1762, 3744, 256, 4653, 267, 649, 2811, 2469, 593, 606, 7045, 998, 519, 4241, 1158, 540, 5951, 5163, 543, 5714, 6384, 269, 5620, 596, 2479, 11074, 547, 1589, 827, 875, 5836, 6329, 1106, 610, 1946, 2842, 2306, 1919, 15309, 548, 286, 1452, 9259, 616, 782, 851, 540, 519, 9159, 2257, 3297, 5951, 5163, 543, 5714, 6384, 269, 2913, 781, 4685, 883, 713, 13858, 1641, 1927, 2439, 6637, 476, 272, 281, 1548, 3657, 31515, 888, 10900, 19567, 5331, 18530, 513, 6149, 883, 513, 1869, 11432, 269, 1411, 1294, 678, 31454, 10825, 856, 2066, 519, 1216, 781, 2627, 267, 1318, 286, 8409, 678, 31454, 616, 1572, 2878, 30335, 1262, 269, 2859, 4481, 267, 789, 616, 7344, 6329, 602, 4483, 1648, 998, 2339, 1107, 538, 713, 2013, 267, 1216, 269, 20996, 6329, 991, 513, 5420, 630, 7945, 607, 2011, 267, 1216, 267, 610, 1256, 17571, 899, 887, 6647, 610, 20950, 264, 547, 2951, 269, 1358, 666, 581, 19040, 883, 1079, 2010, 281, 29529, 543, 19976, 6329, 780, 265, 9558, 2091, 6329, 15846, 1403, 596, 941, 547, 7747, 519, 3350, 540, 1367, 5536, 1369, 519, 5420, 1247, 519, 5951, 10596, 998, 621, 267, 1346, 5536, 1131, 1847, 909, 543, 1524, 13902, 569, 547, 519, 4287, 519, 5951, 12599, 269, 1280, 1383, 267, 950, 596, 12235, 513, 890, 321, 1076, 883, 513, 7535, 267, 519, 9764, 3270, 2813, 616, 1813, 547, 29529, 6329, 10707, 2059, 519, 1216, 781, 2627, 780, 265, 16524, 15994, 6329, 15846, 3767, 4952, 726, 31902, 513, 1793, 1074, 344, 543, 11287, 1018, 4523, 269, 1306, 519, 5951, 7575, 2059, 519, 3259, 540, 519, 1793, 1074, 344, 267, 922, 27810, 14771, 543, 4228, 6252, 547, 519, 5951, 781, 4287, 269, 2334, 1394, 7146, 16519, 628, 13496, 543, 7269, 21656, 19976, 6329, 269, 14675, 6329, 616, 513, 1455, 1826, 540, 19976, 5951, 1141, 6675, 5854, 622, 1394, 543, 8521, 4929, 2604, 2242, 538, 519, 4478, 2011, 780, 6637, 476, 273, 281, 10289, 29079, 18868, 454, 29432, 3086, 1577, 781, 1445, 593, 513, 2027, 15410, 540, 11707, 1634, 607, 2608, 22381, 573, 6384, 24682, 799, 9388, 609, 1620, 875, 15559, 543, 9362, 2095, 269, 1879, 4974, 5714, 6384, 267, 3744, 8495, 1585, 2188, 971, 607, 6991, 267, 5860, 267, 25297, 267, 543, 2604, 269, 1635, 7421, 891, 3601, 267, 3173, 10625, 11580, 6456, 2620, 3330, 2067, 3157, 5473, 12862, 780, 2690, 3236, 267, 1705, 596, 917, 602, 12269, 5749, 1405, 1175, 2770, 27918, 3043, 10412, 11084, 13735, 2832, 8393, 538, 519, 6607, 286, 715, 2100, 256, 1849, 10796, 2874, 540, 6263, 5277, 20256, 610, 4672, 14848, 17735, 538, 519, 5790, 269, 4256, 5322, 1246, 1808, 3270, 9598, 730, 676, 1950, 5714, 6422, 3741, 2439, 12244, 5384, 2336, 1366, 19567, 4131, 781 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 18851, 744, 8544, 15879, 7548, 798, 964, 2378, 1470, 18751, 454, 825, 844, 518, 4990, 792, 513, 3921, 655, 632, 3284, 6974, 320, 23843, 632, 3097, 825, 911, 4472, 327, 657, 13121, 620, 684, 657, 269, 13056, 9809, 320, 19804, 1982, 320, 6446, 454, 825, 682, 807, 522, 562, 727, 13121, 844, 520, 549, 620, 684, 657, 552, 1034, 516, 513, 3921, 655, 454, 825, 4990, 1737, 320, 269, 29185, 5228, 4351, 1104, 695, 28984, 692, 320, 272, 815, 1193, 9272, 3488, 28269, 10098, 620, 684, 334, 281, 1412, 4917, 320, 273, 815, 1193, 9272, 3488, 306, 1122, 1495, 334, 620, 684, 334, 281, 1412, 4917, 320, 274, 815, 1193, 9272, 3488, 24404, 576, 10098, 620, 684, 334, 281, 1412, 4917, 320, 275, 815, 1193, 9272, 3488, 5226, 691, 334, 620, 684, 334, 281, 1412, 4917, 2993, 815, 1496, 320, 272, 267, 513, 273, 267, 513, 274, 267, 513, 275, 2639, 3333, 28984, 263, 2993, 994, 2745, 3488, 288, 3921, 655, 632, 3284, 6974, 320, 23843, 1583, 5451, 281, 30386, 2745, 263, 2993, 264, 0, 18851, 13056, 9809, 320, 19804, 1982, 320, 6446, 682, 807, 3097, 825, 522, 562, 727, 1264, 1729, 632, 579, 2742, 533, 612, 10394, 3097, 825, 1034, 8681, 334, 900, 5302, 340, 5866, 522, 6305, 10098, 552, 522, 454, 825, 3706, 24982, 562, 727, 3021, 611, 3512, 324, 8528, 825, 1401, 281, 17630, 15636, 601, 14833, 632, 27804, 5633, 454, 825, 11788, 10098, 815, 17630, 454, 825, 8299, 24982, 815, 27804, 5633, 29185, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 562, 727, 1264, 1729, 281, 1412, 26895, 29328, 4590, 333, 727, 815, 562, 727, 21858, 4590, 2745, 3488, 5353, 340, 6305, 10098, 562, 727, 20527, 15079, 8339, 8971, 3799, 727, 314, 271, 28413, 2745, 3488, 5353, 340, 3706, 24982, 562, 727, 20527, 15079, 8339, 8971, 3799, 727, 314, 6352, 3799, 727, 264, 910, 476, 272, 316, 4297, 0, 18851, 3955, 668, 12323, 334, 10221, 328, 9809, 383, 369, 525, 2755, 3097, 338, 815, 476, 271, 454, 333, 815, 476, 271, 454, 6112, 6936, 912, 825, 562, 815, 703, 9272, 3488, 14707, 924, 19804, 562, 14243, 1067, 334, 281, 1412, 4917, 825, 952, 562, 2652, 476, 15886, 912, 1038, 2736, 454, 825, 521, 6834, 562, 454, 2745, 6600, 262, 288, 1474, 320, 1130, 324, 2715, 338, 348, 10807, 825, 1948, 715, 10976, 302, 570, 7709, 302, 16692, 11123, 21316, 5727, 7531, 18851, 1401, 6374, 657, 632, 535, 5569, 8173, 333, 727, 815, 1193, 9272, 3488, 14707, 924, 694, 340, 562, 727, 281, 1412, 4917, 573, 1228, 815, 703, 9272, 3488, 14707, 924, 647, 320, 7329, 1228, 281, 1412, 4917, 2745, 6600, 24202, 15710, 562, 727, 20527, 2715, 333, 727, 348, 552, 647, 320, 7329, 1228, 20527, 2715, 573, 1228, 348, 10807, 0, 18851, 13056, 9809, 320, 19804, 1982, 320, 6446, 682, 807, 522, 6584, 2939, 334, 3097, 4777, 3032, 16587, 1566, 739, 334, 632, 19804, 3032, 16587, 11105, 324, 632, 19804, 959, 514, 698, 25222, 454, 5632, 9908, 552, 1034, 516, 522, 6584, 2939, 334, 13005, 12048, 582, 523, 25901, 20701, 5228, 2979, 1104, 5492, 454, 1723, 815, 10581, 9272, 3488, 290, 7112, 1440, 2939, 334, 798, 3032, 16587, 1566, 739, 334, 281, 1412, 4917, 8619, 815, 10581, 9272, 3488, 4467, 1440, 2939, 334, 798, 3032, 16587, 11105, 324, 281, 1412, 4917, 6062, 815, 5492, 263, 1723, 267, 8619, 994, 2745, 3488, 288, 12048, 582, 523, 25901, 642, 2967, 1199, 597, 2715, 15545, 273, 325, 348, 8339, 8971, 263, 6062, 4297, 0, 5035, 8274, 912, 8931, 825, 1219, 6449, 8181, 9191, 1345, 267, 4463, 267, 8700, 2187, 1038, 1582, 269, 19417, 815, 4463, 454, 1038, 1582, 9884, 5954, 815, 8700, 454, 1038, 1582, 4732, 331, 1824, 815, 1496, 9131, 1412, 316, 2608, 1582, 9884, 5954, 585, 4737, 538, 2039, 4311, 269, 19417, 264, 6540, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1038, 5727, 16849, 513, 5569, 6041, 585, 513, 8274, 1843, 563, 1038, 8173, 1038, 521, 815, 15234, 476, 1948, 2253, 609, 606, 8900, 5569, 692, 1038, 1948, 1039, 835, 4737, 540, 27061, 693, 513, 942, 454, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 2187, 2018, 521, 6834, 1412, 347, 262, 476, 1948, 1039, 835, 7299, 3046, 693, 519, 1376, 540, 519, 4737, 692, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 3546, 521, 6834, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 1341, 1412, 347, 28847, 2018, 521, 6834, 1412, 315, 333, 262, 476, 1948, 1007, 1467, 693, 519, 1439, 540, 519, 4737, 692, 1038, 1948, 1039, 3834, 2380, 585, 5377, 6316, 454, 1038, 1948, 7466, 607, 1082, 2094, 1657, 3009, 3769, 1582, 4732, 331, 1824, 454, 1038, 585, 897, 538, 2039, 263, 273, 2608, 1582, 9884, 5954, 1341, 476, 272, 2187, 2018, 521, 6834, 25023, 692, 1038, 521, 6834, 1412, 315, 333, 28847, 1038, 1948, 1039, 6241, 2338, 2630, 5377, 6316, 454, 1038, 1003, 815, 476, 271, 454, 1038, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 2018, 521, 6834, 1412, 1412, 1341, 1193, 16325, 994, 2018, 1003, 6834, 476, 272, 454, 2018, 1003, 815, 1003, 4939, 476, 1015, 692, 1038, 2132, 521, 692, 825, 1219, 1039, 318, 13765, 518, 4311, 267, 2638, 518, 267, 897, 2187, 1038, 5727, 8591, 519, 9138, 2638, 518, 547, 6241, 897, 454, 2018, 540, 519, 1572, 8274, 1843, 454, 1038, 8173, 1038, 1948, 13182, 11378, 454, 1038, 7682, 263, 13765, 518, 2652, 1412, 311, 262, 610, 2638, 518, 2652, 1412, 302, 5073, 1038, 7682, 263, 271, 10922, 897, 2999, 1582, 9884, 5954, 2020, 1038, 4737, 815, 476, 271, 454, 1038, 1247, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 1412, 1412, 543, 4737, 2999, 1582, 269, 19417, 910, 476, 272, 912, 2018, 4737, 6834, 476, 272, 692, 1038, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 11203, 1412, 1412, 281, 1948, 649, 11074, 693, 513, 2638, 518, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 910, 476, 272, 6012, 3712, 316, 815, 2638, 518, 454, 1038, 3116, 281, 4449, 19930, 1948, 4737, 568, 519, 5377, 18921, 540, 897, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 2638, 518, 692, 825, 1219, 19268, 4311, 2187, 1038, 5727, 759, 1115, 519, 8274, 1843, 593, 799, 621, 454, 2018, 568, 1572, 676, 4259, 782, 27061, 547, 2270, 513, 2230, 1915, 563, 1038, 8173, 1038, 1582, 4732, 331, 1824, 815, 1496, 9131, 1412, 316, 2608, 1582, 9884, 5954, 585, 4737, 538, 2039, 4311, 269, 19417, 264, 6540, 825, 1219, 666, 318, 5417, 15461, 4311, 267, 897, 2187, 1038, 5727, 7024, 6936, 952, 621, 568, 4570, 547, 1747, 513, 2638, 518, 454, 2018, 538, 519, 6241, 897, 593, 519, 10912, 8274, 1843, 267, 6382, 8771, 454, 1038, 8173, 1038, 952, 897, 13843, 1582, 9884, 5954, 912, 2018, 2132, 8771, 692, 1038, 952, 897, 2999, 476, 271, 912, 2018, 2132, 8771, 692, 1038, 1948, 952, 519, 1283, 4737, 568, 711, 8900, 267, 519, 6241, 568, 2407, 454, 1038, 952, 1582, 4732, 331, 1824, 314, 271, 6012, 3712, 316, 11203, 1412, 1412, 912, 2018, 2132, 8771, 28329, 1038, 2132, 6936, 692, 825, 1219, 568, 318, 21459, 4311, 2187, 1038, 5727, 7024, 6936, 952, 519, 1572, 8274, 1843, 568, 4625, 454, 2018, 2407, 540, 2638, 619, 267, 543, 7024, 8771, 6382, 563, 1038, 8173, 1038, 897, 815, 476, 271, 454, 1038, 1247, 711, 1582, 269, 4754, 318, 5417, 15461, 263, 3712, 264, 543, 897, 2999, 1582, 9884, 5954, 912, 2018, 897, 6834, 476, 272, 692, 1038, 1948, 952, 649, 6854, 2469, 21266, 519, 2063, 6241, 267, 519, 4604, 568, 2407, 454, 1038, 1948, 543, 897, 568, 856, 540, 2039, 540, 1582, 4732, 331, 1824, 454, 1038, 952, 897, 2652, 1582, 9884, 5954, 912, 2018, 2132, 6936, 28329, 1038, 2132, 8771, 692, 825, 1219, 4894, 318, 13765, 518, 4311, 267, 897, 2187, 1038, 5727, 18788, 519, 1283, 2638, 518, 689, 6241, 897, 540, 519, 1572, 8274, 1843, 454, 1038, 8173, 1038, 4737, 815, 476, 271, 692, 1038, 1948, 952, 897, 568, 2407, 267, 4894, 2638, 518, 689, 1283, 2173, 739, 2230, 538, 897, 454, 1038, 952, 711, 1582, 269, 4754, 318, 5417, 15461, 263, 3712, 2187, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 1412, 1412, 692, 1038, 3116, 912, 2018, 1948, 952, 649, 666, 1039, 547, 519, 897, 543, 519, 5377, 4737, 538, 897, 454, 2018, 1948, 568, 8900, 267, 2132, 2094, 519, 897, 568, 2907, 8900, 454, 2018, 952, 1582, 4732, 331, 1824, 314, 1345, 269, 19417, 910, 476, 272, 6012, 3712, 316, 2652, 1412, 1412, 912, 3546, 2132, 692, 2018, 1247, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 1412, 1412, 543, 4737, 2999, 1582, 269, 19417, 910, 476, 272, 912, 3546, 4737, 6834, 476, 272, 454, 4449, 454, 2018, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 815, 1412, 1412, 692, 1038, 2132, 692, 825, 1219, 568, 318, 7773, 318, 1721, 4311, 267, 2638, 518, 2187, 1038, 5727, 7125, 25961, 3252, 602, 3313, 782, 2009, 2081, 547, 3094, 4045, 454, 2018, 9050, 543, 7024, 952, 519, 3403, 2638, 518, 568, 519, 16771, 540, 519, 3014, 630, 12148, 994, 2018, 610, 711, 630, 16178, 994, 1038, 8173, 1038, 7682, 263, 13765, 518, 2652, 1412, 311, 262, 610, 2638, 518, 2652, 1412, 302, 17210, 1038, 1948, 1289, 519, 25961, 3252, 543, 946, 741, 2132, 2418, 547, 454, 1038, 1948, 3313, 2436, 547, 2132, 6936, 610, 8771, 454, 1038, 5997, 815, 1582, 18994, 318, 1817, 714, 7267, 318, 7773, 263, 13765, 518, 994, 1038, 9825, 815, 1582, 18994, 318, 3200, 673, 318, 7773, 263, 13765, 518, 994, 1038, 546, 10972, 698, 815, 1582, 18994, 5091, 1144, 5091, 328, 21192, 318, 7773, 263, 13765, 518, 994, 1038, 579, 10972, 698, 815, 1582, 18994, 318, 1575, 5091, 328, 21192, 318, 7773, 263, 13765, 518, 2020, 1038, 2132, 5997, 610, 9825, 610, 546, 10972, 698, 610, 579, 10972, 698, 692, 825, 1219, 568, 318, 1817, 714, 7267, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 8880, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 910, 476, 274, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9587, 538, 713, 4737, 454, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 272, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 273, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 1341, 476, 274, 316, 2652, 2638, 518, 912, 7386, 2132, 6936, 692, 1038, 1948, 952, 649, 1118, 621, 1934, 267, 972, 941, 1100, 8880, 17993, 454, 1038, 2132, 8771, 22562, 825, 1219, 568, 318, 3200, 673, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 7299, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 910, 476, 274, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9343, 538, 713, 6241, 454, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 272, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 273, 6012, 3712, 316, 2652, 2638, 518, 543, 26444, 4449, 567, 1582, 4732, 331, 1824, 314, 992, 1341, 476, 274, 6012, 3712, 316, 2652, 2638, 518, 912, 7386, 2132, 6936, 692, 1038, 1948, 952, 649, 1118, 621, 1934, 267, 972, 941, 1100, 7299, 17993, 454, 1038, 2132, 8771, 22562, 825, 1219, 568, 5091, 1144, 5091, 328, 21192, 318, 7773, 4311, 267, 2638, 518, 2187, 1038, 5727, 4258, 4242, 585, 513, 15497, 3094, 585, 519, 9138, 2638, 518, 563, 1038, 8173, 1038, 585, 4737, 538, 2039, 4311, 269, 19417, 910, 476, 274, 2187, 2018, 585, 897, 538, 2039, 4311, 9884, 5954, 910, 476, 274, 2187, 3546, 1948, 6744, 952, 519, 1985, 2185, 9587, 543, 9343, 630, 10972, 21192, 994, 3546, 1948, 2270, 519, 9138, 2638, 518, 563, 3546, 952, 1582, 4732, 331, 1824, 314, 992, 6012, 3712 ]

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

[ 630, 28926, 8160, 1314, 267, 11723, 825, 1219, 5544, 4311, 2187, 1038, 8173, 1038, 901, 4971, 6238, 519, 20128, 7738, 7154, 269, 901, 568, 519, 1482, 607, 10296, 10162, 4861, 320, 781, 20128, 7735, 267, 543, 454, 1038, 786, 23249, 513, 7738, 4783, 952, 835, 568, 2907, 538, 3356, 780, 1038, 12232, 538, 12331, 281, 10426, 633, 267, 15822, 267, 610, 9509, 282, 15448, 7154, 547, 281, 10426, 633, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 2580, 630, 28926, 2529, 13607, 267, 11723, 825, 1219, 3343, 5091, 1442, 4311, 2187, 1038, 8173, 1038, 901, 4971, 1463, 338, 10162, 4861, 320, 547, 5397, 5196, 519, 546, 1442, 519, 1985, 942, 621, 13341, 519, 546, 12177, 20832, 563, 1038, 901, 568, 519, 1482, 607, 10296, 10162, 4861, 320, 781, 667, 1442, 7735, 267, 543, 786, 23249, 513, 7738, 4783, 952, 835, 568, 2907, 538, 454, 1038, 3356, 780, 1038, 12232, 538, 12331, 281, 10426, 633, 267, 15822, 267, 610, 9509, 282, 15448, 7154, 547, 281, 10426, 633, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 2580, 630, 28926, 2529, 324, 2131, 291, 1442, 267, 11723, 825, 1219, 5397, 4311, 267, 6991, 18425, 318, 7825, 30648, 318, 5913, 267, 8953, 18425, 318, 7825, 2187, 1038, 8173, 1038, 901, 4971, 8060, 10162, 4861, 320, 781, 5397, 14743, 780, 1038, 8074, 281, 18378, 543, 2825, 9993, 949, 2061, 10162, 4861, 320, 689, 8308, 8876, 856, 930, 5397, 454, 1038, 12981, 269, 1280, 1383, 267, 621, 949, 711, 581, 2009, 585, 10162, 4861, 320, 547, 5397, 693, 2407, 3432, 538, 606, 9095, 609, 513, 1804, 454, 1038, 8953, 540, 22441, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 780, 1038, 1488, 7714, 912, 2018, 6991, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 270, 5913, 269, 15474, 1871, 1611, 4464, 543, 2942, 23651, 563, 2018, 8953, 18425, 318, 7825, 630, 15759, 518, 2567, 910, 1220, 271, 910, 476, 1220, 271, 6515, 563, 3546, 634, 8953, 568, 6027, 689, 519, 4099, 540, 519, 7432, 5858, 547, 519, 4099, 540, 10162, 4861, 320, 563, 3546, 7981, 2665, 912, 7386, 476, 27628, 6924, 610, 476, 27628, 6858, 281, 3619, 2786, 563, 7386, 910, 272, 281, 12414, 538, 1747, 29628, 563, 7386, 476, 272, 281, 12414, 538, 1747, 4831, 22018, 3772, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 267, 6991, 18425, 318, 7825, 30648, 318, 5913, 267, 8953, 18425, 318, 7825, 11723, 825, 1219, 5397, 5091, 1311, 4311, 267, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 267, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 2187, 1038, 8173, 1038, 901, 4971, 13071, 596, 1852, 519, 4464, 543, 18807, 5163, 540, 10162, 4861, 320, 781, 5397, 14743, 454, 1038, 10446, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 780, 1038, 1488, 7714, 912, 2018, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 4732, 269, 15474, 1797, 4464, 563, 2018, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 6515, 4882, 269, 15474, 1797, 4464, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 17445, 267, 1318, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 267, 2451, 16062, 31856, 318, 767, 6290, 18425, 318, 7825, 30648, 318, 5913, 11723, 825, 1219, 5397, 7272, 342, 332, 4311, 267, 1318, 7272, 342, 332, 267, 2451, 7272, 342, 332, 2187, 1038, 8173, 1038, 901, 4971, 13071, 596, 1852, 519, 6151, 4464, 543, 18807, 5163, 540, 10162, 4861, 320, 781, 5397, 14743, 454, 1038, 10446, 780, 1038, 12232, 538, 12331, 281, 15822, 610, 9509, 282, 15448, 7154, 547, 281, 3143, 7827, 692, 1038, 1488, 7714, 912, 2018, 1318, 7272, 342, 332, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 269, 15474, 1797, 4464, 563, 2018, 2451, 7272, 342, 332, 630, 15759, 518, 2567, 910, 4335, 910, 476, 4335, 269, 15474, 1797, 4464, 563, 1038, 8173, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 327, 327, 2580, 630, 28926, 6185, 337, 633, 303, 342, 332, 267, 1318, 7272, 342, 332, 267, 2451, 7272, 342, 332, 11723, 825, 1219, 16546, 4311, 267, 5512, 318, 2515, 318, 20815, 267, 5512, 24449, 659, 10840, 267, 5512, 8548, 664, 318, 20815, 2676, 25639, 2427, 318, 20815, 318, 22018, 3772, 25716, 267, 1292, 318, 20815, 318, 719, 1189, 25716, 2187, 1038, 1239, 815, 630, 10852, 318, 20815, 318, 719, 1189, 24177, 476, 275, 264, 26444, 25639, 1923, 630, 2515, 318, 20815, 318, 22018, 3772, 24177, 476, 274, 264, 26444, 25639, 1923, 630, 523, 762, 8548, 664, 318, 20815, 24177, 476, 273, 264, 26444, 25639, 1923, 630, 523, 762, 24449, 659, 10840, 24177, 476, 272, 264, 26444, 25639, 1923, 630, 523, 762, 318, 2515, 318, 20815, 24177, 476, 271, 994, 1038, 1582, 11519, 338, 754, 2891, 285, 17668, 2580, 630, 28926, 8160, 582, 832, 267, 1239, 11723, 825, 1219, 533, 342, 332, 8548, 582, 832, 4311, 267, 1292, 318, 20815, 7272, 342, 332, 267, 2427, 318, 20815, 7272, 342, 332, 267, 12511, 7272, 342, 332, 2187, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 6277, 321, 2580, 630, 28926, 10422, 342, 332, 300, 582, 832, 267, 1292, 318, 20815, 7272, 342, 332, 267, 2427, 318, 20815, 7272, 342, 332, 267, 12511, 7272, 342, 332, 11723, 825, 1219, 561, 2644, 4311, 267, 11935, 267, 5544, 267, 546, 1442, 267, 2638, 318, 13681, 582, 267, 1379, 318, 1194, 318, 10233, 267, 1379, 318, 1194, 318, 842, 3748, 2187, 1038, 1239, 815, 630, 13765, 318, 13681, 582, 24177, 476, 274, 264, 26444, 25639, 1923, 630, 323, 1442, 24177, 476, 273, 264, 26444, 25639, 1923, 630, 4944, 582, 24177, 476, 272, 264, 26444, 25639, 1923, 630, 1372, 11421, 24177, 476, 271, 994, 1038, 1582, 11519, 338, 754, 2891, 285, 17668, 17668, 2580, 630, 28926, 11482, 2644, 267, 1239, 267, 1379, 318, 1194, 318, 10233, 267, 1379, 318, 1194, 318, 842, 3748, 11723, 825, 1219, 9704, 318, 1194, 338, 318, 30913, 328, 4311, 267, 1239, 2187, 1038, 1239, 318, 718, 815, 1239, 1341, 536, 262, 825, 1412, 454, 1038, 1582, 11519, 338, 754, 2891, 285, 289, 6277, 6277, 2580, 630, 28926, 6185, 580, 1080, 299, 2644, 2026, 857, 328, 267, 1239, 318, 718, 314, 271, 3910, 1239, 318, 718, 314, 272, 3910, 1239, 318, 718, 314, 273, 3910, 1239, 318, 718, 314, 274, 8079, 2020, 825, 1219, 1376, 318, 6894, 4311, 267, 9300, 318, 1749, 2187, 1038, 1582, 11519, 28947, 22182, 263, 560, 1192, 4877, 871, 2891, 285, 289, 321, 2580, 14956, 269, 1805, 3195, 267, 7003, 4433, 16428, 318, 1749, 21875, 1038, 585, 9300, 16182, 538, 9300, 318, 1749, 912, 2018, 1582, 11519, 28947, 22182, 263, 560, 1192, 4877, 871, 2891, 285, 321, 2580, 9300, 16182, 11723, 825, 1219, 9337, 4311, 2187, 1038, 1582, 11519, 321, 4428, 518, 6834, 1582, 11519, 28947, 18667, 4311, 11519, 28947, 23357, 310, 320, 1746, 15405, 1038, 1775, 815, 476, 271, 454, 1038, 1533, 815, 7183, 454, 1038, 1247, 1775, 2999, 7003, 4311, 11519, 321, 4428, 518, 264, 910, 476, 272, 912, 2018, 952, 1582, 11519, 321, 4428, 518, 5157, 316, 2652, 476, 866, 912, 3546, 2450, 815, 1582, 11519, 321, 4428, 518, 5157, 266, 272, 2639, 3546, 1948, 1820, 2891, 11398, 476, 866, 834, 1341, 1193, 4433, 1125, 4917, 3546, 952, 7003, 4311, 11519, 321, 4428, 518, 264, 3436, 2450, 1341, 1775, 1341, 476, 273, 912, 7386, 1948, 1820, 2891, 14075, 2614, 5602, 7386, 1948, 2638, 11974, 636, 454, 7386, 11974, 636, 815, 476, 271, 454, 7386, 585, 795, 538, 2039, 9217, 267, 2450, 266, 328, 266, 274, 2187, 13376, 11974, 636, 6834, 1582, 11519, 321, 4428, 518, 14728, 6540, 7386, 952, 630, 3832, 4242, 636, 1299, 476, 271, 343, 13697, 264, 2652, 476, 271, 912, 13376, 1948, 1612, 572, 17142, 454, 13376, 1064, 815, 1775, 1341, 476, 273, 454, 13376, 1533, 815, 3557, 4590, 13376, 1247, 1064, 2999, 1775, 1341, 2450, 1341, 476, 273, 912, 23351, 9300, 815, 1582, 11519, 321, 4428, 518, 314, 1842, 2639, 23351, 1064, 6834, 476, 272, 454, 23351, 952, 9300, 2652, 32190, 20166, 8379, 1712, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 6230, 1712, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 2419, 1173, 532, 13750, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 269, 12737, 532, 13750, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1533, 269, 12737, 532, 13750, 815, 932, 1173, 532, 13750, 263, 8063, 269, 12737, 532, 13750, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 14157, 5653, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 269, 14179, 5653, 1103, 300, 309, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 5861, 584, 1370, 912, 4449, 3546, 535, 31198, 815, 834, 285, 327, 4840, 4449, 3546, 1533, 269, 9690, 1103, 7246, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11053, 17687, 912, 4449, 3546, 535, 31198, 815, 834, 285, 289, 4840, 4449, 3546, 1533, 6745, 17687, 1103, 291, 1122, 290, 601, 857, 639, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11065, 19495, 2419, 1618, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 12500, 19495, 2419, 1618, 1103, 7246, 295, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 11065, 19495, 22479, 13369, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 12500, 19495, 22479, 13369, 1103, 7246, 295, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 29381, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 29381, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 293, 3224, 29381, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 293, 3224, 29381, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 293, 3224, 14738, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 293, 3224, 14738, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 269, 5632, 14369, 1125, 6600, 31198, 994, 23351, 8640, 9300, 2652, 32190, 269, 5141, 858, 14738, 14294, 531, 912, 4449, 3546, 535, 31198, 815, 834, 285, 295, 4840, 4449, 3546, 1533, 17085, 858, 14738, 14294, 531, 1805, 31104, 267, 815, 1785, 26509, 17569, 318, 5228, 6600, 31198, 267, 1582, 11519, 321, 4428, 518, 267, 1064, 994, 4449, 3546, 1064, 6834, 1785, 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 ]

[ 454, 14683, 318, 9792, 815, 476, 276, 3199, 318, 278, 7597, 692, 258, 10426, 5320, 16448, 476, 272, 910, 20099, 540, 10957, 568, 3670, 9704, 454, 3698, 568, 28747, 5334, 1460, 630, 842, 19056, 2187, 825, 952, 7003, 19304, 17301, 19056, 4297, 2652, 476, 277, 912, 11434, 2132, 6936, 454, 825, 3116, 912, 11434, 2132, 8771, 692, 258, 10426, 5320, 16448, 476, 273, 910, 10426, 5320, 814, 3654, 326, 548, 9704, 267, 855, 711, 811, 982, 476, 273, 18615, 569, 563, 3698, 814, 5091, 19302, 5091, 580, 1080, 630, 842, 19056, 2187, 825, 1871, 23952, 815, 1193, 17301, 19056, 994, 825, 1871, 28747, 815, 7003, 263, 7407, 23952, 994, 825, 1948, 30498, 909, 1871, 8675, 609, 12523, 540, 1142, 1297, 454, 825, 1871, 18380, 815, 9598, 18750, 760, 3488, 23713, 24833, 277, 4281, 280, 3299, 314, 271, 30297, 1015, 4917, 825, 585, 1775, 538, 2039, 263, 7407, 28747, 2187, 1038, 1871, 18380, 314, 7407, 23952, 5157, 14963, 815, 1871, 18380, 314, 7407, 23952, 5157, 14963, 1341, 476, 272, 3097, 3097, 825, 1948, 594, 614, 919, 998, 543, 9060, 8424, 540, 2338, 543, 11974, 609, 1871, 18380, 952, 621, 1152, 5526, 7466, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 28747, 2187, 1038, 952, 1871, 23952, 5157, 316, 2652, 1871, 23952, 5157, 268, 272, 14158, 2018, 952, 1871, 18380, 314, 7407, 23952, 5157, 14963, 2652, 476, 273, 912, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 258, 10426, 5320, 16448, 476, 274, 910, 10426, 5320, 2418, 2760, 6175, 2469, 2451, 547, 1318, 267, 1152, 3251, 519, 1482, 610, 1213, 572, 454, 3698, 2760, 318, 1372, 920, 1162, 630, 842, 19056, 2187, 825, 1871, 23952, 815, 1193, 17301, 19056, 994, 825, 1871, 28747, 815, 7003, 263, 7407, 23952, 994, 825, 1293, 815, 476, 271, 3097, 825, 585, 1775, 538, 2039, 263, 272, 267, 1871, 28747, 2187, 1038, 952, 1871, 23952, 5157, 316, 13843, 1871, 23952, 5157, 268, 272, 14158, 2018, 1293, 6834, 476, 272, 454, 825, 952, 1293, 2652, 476, 276, 912, 1038, 2132, 6936, 454, 825, 3116, 912, 1038, 2132, 8771, 692, 258, 10318, 1149, 952, 10957, 10742, 7355, 267, 7024, 6936, 952, 621, 1281, 563, 3698, 10957, 318, 13765, 17301, 19056, 2567, 11434, 454, 825, 952, 568, 28747, 5334, 1460, 17301, 19056, 2187, 1038, 952, 814, 5091, 19302, 5091, 580, 1080, 17301, 19056, 2187, 2018, 952, 2760, 318, 1372, 920, 1162, 17301, 19056, 2187, 3546, 2132, 6936, 454, 825, 2132, 8771, 692, 258, 10426, 5320, 31098, 9577, 910, 12055, 919, 998, 2009, 2039, 543, 7024, 1592, 540, 2009, 18538, 454, 258, 14348, 4440, 2744, 513, 3432, 2333, 952, 594, 5916, 2175, 476, 273, 543, 476, 274, 883, 1482, 8520, 454, 3698, 5352, 7272, 817, 5320, 8217, 263, 869, 318, 9792, 267, 1164, 318, 9792, 2187, 825, 10957, 8217, 815, 32582, 8931, 825, 585, 1775, 538, 2039, 263, 869, 318, 9792, 267, 1164, 318, 9792, 266, 272, 2187, 1038, 952, 10957, 318, 13765, 9217, 2187, 2018, 10957, 8217, 6910, 9217, 994, 825, 2132, 10957, 8217, 692, 258, 6301, 1505, 8931, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1948, 4530, 2665, 454, 825, 7682, 10957, 318, 13765, 263, 12208, 22001, 264, 2652, 6936, 454, 825, 7682, 10957, 318, 13765, 263, 11277, 29900, 264, 2652, 8771, 454, 825, 7682, 10957, 318, 13765, 263, 9340, 14338, 264, 2652, 6936, 454, 3097, 825, 1948, 2398, 6493, 3259, 540, 6383, 10957, 1592, 454, 825, 1820, 12759, 263, 2102, 4733, 7272, 817, 5320, 8217, 263, 869, 318, 9792, 267, 1164, 318, 9792, 4297, 2020, 0, 5814, 19523, 267, 27368, 454, 6853, 18524, 269, 8181, 10797, 21653, 815, 8700, 267, 4463, 815, 476, 8517, 267, 476, 8517, 454, 19009, 815, 476, 14838, 267, 476, 14838, 267, 476, 14838, 454, 22018, 815, 27368, 28333, 269, 5141, 1442, 3890, 3248, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 4433, 1125, 994, 4252, 815, 27368, 269, 13548, 269, 2903, 2891, 842, 549, 318, 4252, 26666, 5602, 343, 267, 586, 815, 630, 12296, 910, 476, 6321, 264, 1315, 476, 273, 267, 630, 19417, 910, 476, 6321, 264, 1315, 476, 273, 22322, 343, 318, 4219, 815, 476, 271, 454, 344, 318, 4219, 815, 476, 271, 7531, 6112, 476, 272, 912, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 1363, 453, 338, 903, 20216, 527, 4590, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 291, 32052, 912, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 1363, 453, 453, 344, 318, 4219, 6834, 910, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 1363, 453, 453, 344, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 1363, 453, 453, 343, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 1363, 453, 453, 343, 318, 4219, 6834, 910, 276, 454, 1038, 952, 2680, 269, 6943, 2652, 27368, 14389, 292, 312, 16810, 912, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 305, 20846, 912, 1363, 453, 453, 343, 318, 4219, 6834, 910, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 4041, 10499, 912, 1363, 453, 453, 343, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 318, 16810, 912, 1363, 453, 453, 344, 318, 4219, 6834, 476, 276, 454, 1363, 14851, 2680, 269, 4486, 2652, 27368, 14389, 32707, 32052, 912, 1363, 453, 453, 344, 318, 4219, 6834, 910, 276, 7531, 825, 1535, 6834, 1535, 318, 4219, 454, 825, 586, 6834, 586, 318, 4219, 454, 825, 1820, 3287, 318, 4219, 267, 1439, 815, 834, 19515, 825, 1820, 12169, 318, 4219, 994, 825, 454, 825, 5496, 8807, 650, 263, 19009, 994, 825, 5496, 269, 4565, 527, 263, 4252, 267, 630, 343, 267, 586, 4917, 825, 27368, 269, 5891, 269, 26303, 4590, 825, 9219, 6745, 1157, 263, 2568, 994, 0, 343, 815, 834, 1706, 1446, 548, 335, 21317, 334, 29177, 335, 517, 974, 10098, 815, 7003, 3287, 10142, 3698, 10799, 532, 4433, 19885, 2567, 1948, 521, 815, 5569, 513, 1583, 23666, 320, 6902, 562, 815, 562, 14243, 1067, 334, 632, 1286, 716, 31013, 13005, 5569, 1477, 825, 585, 795, 538, 2039, 3799, 266, 272, 8029, 1038, 952, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 476, 271, 543, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 7183, 6769, 2018, 1820, 4433, 11468, 329, 316, 10142, 1038, 8640, 521, 28827, 4433, 14728, 268, 272, 8079, 2652, 7003, 4433, 264, 543, 521, 28827, 4433, 14728, 266, 272, 8079, 2652, 7183, 6769, 2018, 1820, 4433, 10142, 1038, 3116, 6769, 2018, 1820, 4433, 11468, 329, 29573, 1721, 795, 538, 1535, 6769, 825, 10799, 532, 3287, 267, 6352, 3287, 17903, 825, 1535, 815, 1535, 27007, 343, 28827, 27203, 11924, 272, 2567, 316, 5897, 5897, 5897, 5897, 24653, 0, 5814, 19523, 454, 5814, 15259, 454, 3698, 26250, 28442, 267, 23882, 25716, 267, 11503, 25716, 2187, 825, 952, 23882, 912, 1038, 28551, 815, 834, 295, 7637, 2437, 1341, 2012, 454, 825, 3116, 912, 1038, 28551, 815, 834, 15916, 2437, 1341, 2012, 692, 825, 952, 11503, 912, 1038, 1820, 14116, 516, 7566, 269, 21639, 263, 3738, 994, 825, 3116, 912, 1038, 1820, 14116, 516, 7566, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 23882, 18989, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 11503, 18989, 994, 326, 22901, 2891, 298, 5271, 514, 2580, 23882, 18989, 267, 11503, 18989, 994, 0, 5814, 11885, 7531, 5035, 4975, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 267, 586, 267, 6003, 2187, 1038, 1582, 269, 573, 815, 6003, 454, 1038, 1582, 7456, 665, 815, 11885, 15126, 9230, 343, 267, 586, 11723, 825, 1219, 3845, 15461, 4311, 267, 2749, 2187, 1038, 2132, 11885, 7456, 1400, 326, 8542, 768, 6262, 640, 7456, 665, 910, 1582, 7456, 665, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 346, 1345, 269, 573, 348, 281, 630, 346, 1345, 7456, 665, 16585, 5016, 454, 5035, 9351, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4872, 2187, 1038, 1582, 6983, 885, 815, 4872, 692, 825, 1219, 1205, 6958, 5893, 4311, 2187, 1038, 8516, 815, 476, 271, 269, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 4311, 6983, 885, 264, 910, 476, 272, 2187, 2018, 8516, 6834, 1582, 6983, 885, 5157, 4940, 323, 2700, 15461, 4311, 6983, 885, 5157, 1341, 476, 272, 7481, 1038, 2132, 8516, 22562, 825, 1219, 1205, 6831, 640, 9078, 629, 1564, 4311, 2187, 1038, 2132, 1496, 1598, 6262, 269, 573, 264, 585, 524, 538, 1582, 6983, 885, 6540, 825, 1219, 6449, 6352, 9191, 1345, 2187, 1038, 2132, 7003, 4311, 6983, 885, 2020, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 535, 257, 22704, 281, 7003, 6262, 885, 6661, 346, 6352, 4311, 6983, 885, 264, 9574, 8516, 28121, 1345, 10947, 6958, 5893, 3890, 9574, 10297, 28121, 1345, 10947, 6831, 640, 9078, 629, 1564, 3890, 348, 4840, 0, 26611, 23591, 24800, 19841, 341, 9226, 274, 454, 5814, 19523, 267, 556, 454, 5814, 2415, 27785, 692, 29514, 3181, 1872, 692, 9418, 2745, 815, 1820, 692, 3698, 546, 2745, 28949, 16911, 2187, 825, 952, 3181, 1872, 912, 1038, 1483, 2745, 28949, 16911, 2020, 2745, 815, 546, 2745, 692, 3698, 1292, 263, 16911, 2187, 825, 2518, 3181, 1872, 454, 825, 609, 1930, 263, 16911, 8807, 32327, 267, 1412, 337, 10807, 607, 535, 323, 912, 1038, 1435, 318, 4486, 6831, 731, 267, 1435, 318, 4486, 5091, 3233, 815, 1496, 842, 263, 1467, 14714, 8692, 28829, 585, 1899, 538, 535, 323, 18667, 6050, 3890, 2639, 825, 1820, 2891, 25205, 5398, 6206, 281, 15079, 2668, 8971, 9638, 889, 318, 4486, 6831, 731, 4917, 825, 1820, 2891, 2710, 528, 5398, 6206, 281, 15079, 2668, 8971, 9638, 889, 318, 4486, 5091, 3233, 4917, 8931, 825, 1641, 20311, 815, 476, 278, 454, 825, 8520, 15481, 6831, 731, 815, 1265, 318, 31467, 15481, 9638, 889, 318, 4486, 6831, 731, 267, 1641, 20311, 994, 825, 1820, 2891, 25205, 8520, 2450, 281, 15079, 2668, 8971, 263, 31467, 15481, 6831, 731, 4917, 825, 8520, 15481, 5091, 3233, 815, 1265, 318, 31467, 15481, 9638, 889, 318, 4486, 5091, 3233, 267, 1641, 20311, 994, 825, 1820, 2891, 2710, 528, 8520, 2450, 281, 15079, 2668, 8971, 263, 31467, 15481, 5091, 3233, 11723, 825, 14238, 318, 4486, 318, 272, 815, 1205, 318, 16780, 11736, 318, 4486, 9638, 889, 318, 4486, 6831, 731, 267, 8520, 15481, 5091, 3233, 994, 825, 14238, 318, 4486, 318, 273, 815, 1205, 318, 16780, 11736, 318, 4486, 9638, 889, 318, 4486, 5091, 3233, 267, 8520, 15481, 6831, 731, 994, 825, 1820, 2891, 272, 281, 2715, 9574, 476, 273, 281, 15079, 2668, 8971, 263, 16780, 11736, 318, 4486, 318, 272, 267, 14238, 318, 4486, 318, 273, 11723, 258, 713, 568, 1175, 886, 773, 13463, 961, 2006, 2483, 3698, 1265, 318, 31467, 15481, 9638, 3016, 318, 4486, 267, 1641, 20311, 2187, 825, 1871, 815, 476, 272, 454, 825, 8520, 15481, 815, 476, 271, 454, 825, 1247, 1871, 11203, 1857, 318, 4486, 912, 1038, 1871, 815, 630, 7407, 2608, 1641, 20311, 264, 4939, 476, 1708, 23713, 2767, 454, 1038, 8520, 15481, 6834, 476, 272, 454, 825, 2132, 8520, 15481, 692, 3698, 1205, 318, 16780, 11736, 318, 4486, 4433, 889, 915, 20311, 267, 8520, 15481, 2187, 825, 1883, 815, 476, 272, 454, 825, 585, 1775, 538, 2039, 263, 31467, 15481, 2187, 1038, 1883, 815, 630, 4486, 2608, 1641, 20311, 264, 4939, 476, 1708, 23713, 2767, 454, 1038, 1775, 6834, 476, 272, 454, 825, 2132, 1883, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2518, 3181, 1872, 454, 825, 3181, 1872, 815, 6936, 454, 825, 16163, 518, 815, 2415, 27785, 269, 26855, 2163, 303, 32242, 4590, 825, 16163, 518, 14491, 318, 30348, 2891, 16344, 17575, 2580, 948, 6889, 15675, 606, 3403, 3758, 269, 4347, 5435, 338, 547, 3403, 17902, 2580, 9949, 6889, 6358, 17902, 2580, 1826, 284, 1598, 994, 825, 16163, 518, 14491, 318, 30348, 2891, 268, 323, 2580, 948, 6889, 5719, 30132, 269, 4347, 5435, 338, 547, 8771, 2580, 2962, 8782, 32697, 4671, 4902, 5073, 825, 26571, 815, 16163, 518, 269, 27785, 318, 16911, 4590, 825, 952, 711, 26571, 6155, 912, 1038, 3181, 1872, 815, 8771, 454, 825, 1820, 2891, 5719, 30132, 7154, 593, 5602, 825, 1483, 2745, 2891, 1607, 1058, 1820, 7488, 540, 3181, 1872, 5602, 825, 1292, 263, 16911, 994 ]

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

[ 1383, 1577, 781, 2161, 707, 3804, 568, 547, 4688, 8096, 1015, 267, 1822, 538, 513, 1032, 865, 596, 666, 979, 543, 2508, 606, 552, 1260, 12692, 1870, 780, 3086, 1577, 781, 1711, 513, 1544, 547, 3035, 519, 1657, 3804, 13718, 5575, 267, 649, 991, 547, 5173, 2713, 9276, 281, 681, 550, 267, 12014, 267, 1426, 267, 3560, 3092, 269, 2913, 781, 8263, 602, 7140, 856, 547, 581, 8096, 273, 267, 4335, 270, 24629, 269, 3371, 781, 513, 22343, 1907, 596, 666, 946, 1934, 780, 13553, 267, 649, 991, 547, 5173, 875, 1454, 649, 1058, 4688, 829, 3923, 676, 12270, 519, 3804, 2179, 676, 519, 942, 649, 1616, 547, 3035, 519, 3804, 269, 1924, 602, 781, 8096, 1015, 267, 1822, 270, 1321, 815, 8096, 279, 3451, 269, 3451, 270, 24629, 269, 2913, 781, 1175, 5180, 602, 909, 547, 8096, 279, 2412, 270, 24629, 780, 23612, 267, 649, 5173, 938, 10865, 4747, 3804, 865, 649, 917, 875, 1454, 649, 991, 547, 7118, 547, 581, 2111, 547, 4628, 3382, 9276, 543, 3035, 938, 10865, 9494, 3804, 269, 2422, 519, 1739, 3830, 281, 9276, 1341, 10865, 9494, 3804, 269, 1924, 267, 602, 781, 8096, 273, 267, 4335, 1341, 8096, 279, 2412, 815, 8096, 31172, 271, 270, 24629, 610, 8096, 2412, 267, 24699, 270, 20204, 269, 2334, 781, 519, 5934, 2179, 596, 991, 547, 1118, 1142, 3923, 547, 3035, 707, 3804, 780, 31094, 958, 267, 594, 9364, 4363, 596, 1930, 1079, 4871, 6589, 282, 835, 585, 9276, 543, 835, 585, 9494, 2724, 855, 602, 781, 909, 547, 596, 780, 7476, 26133, 630, 307, 2464, 5357, 2020, 2467, 781, 1100, 8969, 2348, 513, 15149, 568, 835, 540, 519, 1655, 2081, 547, 5818, 17258, 538, 519, 2344, 269, 634, 454, 4754, 581, 3144, 676, 4896, 945, 781, 31402, 538, 2296, 547, 1831, 513, 11727, 26613, 270, 9128, 299, 4116, 1472, 519, 1158, 780, 2005, 3217, 1152, 3108, 547, 2347, 519, 1576, 543, 568, 1360, 10097, 269, 2986, 1576, 267, 596, 1223, 979, 519, 2757, 1505, 543, 1205, 513, 4110, 689, 513, 6280, 1862, 855, 713, 568, 519, 10464, 652, 8905, 547, 1205, 14468, 269, 769, 713, 1554, 543, 2085, 267, 1004, 2503, 930, 4990, 540, 13995, 865, 602, 781, 1946, 596, 991, 835, 780, 18794, 6732, 15107, 13257, 692, 2252, 596, 2811, 2469, 547, 4001, 2296, 2228, 2864, 982, 22356, 1287, 596, 3513, 991, 547, 6443, 2228, 5867, 1141, 596, 666, 1265, 1053, 547, 4001, 563, 2252, 596, 9364, 899, 606, 22356, 2816, 1287, 596, 666, 4019, 585, 6009, 593, 2442, 6009, 2572, 538, 519, 1858, 596, 1616, 547, 960, 538, 269, 1809, 267, 585, 1346, 945, 1544, 547, 4001, 2228, 1934, 781, 513, 1592, 540, 930, 2228, 5867, 596, 666, 1129, 909, 585, 2483, 4517, 1454, 811, 269, 1411, 666, 849, 5616, 834, 15697, 2296, 22868, 2580, 834, 2464, 299, 22868, 6732, 257, 543, 4376, 547, 602, 2470, 780, 7476, 15232, 1299, 12706, 513, 3115, 16615, 692, 2791, 723, 1100, 1995, 267, 1100, 10639, 543, 972, 616, 2296, 3610, 856, 972, 945, 723, 811, 1995, 982, 596, 945, 1053, 4782, 547, 979, 3079, 540, 596, 780, 5591, 19048, 267, 621, 781, 519, 1482, 538, 782, 519, 824, 6990, 269, 1809, 267, 621, 781, 711, 513, 1966, 269, 1703, 781, 513, 1259, 547, 6445, 602, 7934, 1360, 3362, 780, 5575, 267, 596, 991, 547, 917, 875, 1082, 3108, 540, 1995, 596, 991, 547, 1205, 596, 3323, 269, 2913, 781, 2161, 476, 1015, 3108, 780, 13553, 267, 979, 856, 543, 2709, 547, 4001, 1004, 693, 606, 5393, 10464, 1942, 610, 1256, 513, 1863, 5662, 865, 789, 666, 1449, 596, 856, 543, 1205, 3054, 513, 1906, 16499, 517, 10118, 780, 23612, 267, 2285, 621, 782, 596, 4312, 3893, 269, 5221, 538, 891, 1101, 1906, 3108, 596, 4465, 1405, 7118, 1454, 267, 855, 596, 3513, 2744, 3407, 1995, 780, 2252, 596, 1705, 782, 519, 960, 1287, 538, 1447, 982, 513, 3018, 596, 1058, 723, 513, 1906, 3108, 540, 1995, 896, 707, 12966, 269, 1411, 666, 6368, 1376, 22589, 593, 707, 1544, 547, 3035, 707, 3804, 540, 9494, 8096, 1015, 267, 1822, 780, 9359, 2423, 940, 692, 1432, 596, 991, 1631, 568, 513, 5812, 6908, 540, 4747, 269, 634, 1259, 547, 3035, 602, 568, 547, 1445, 593, 3478, 2834, 1053, 543, 711, 835, 13726, 269, 3807, 513, 19625, 540, 2834, 1053, 568, 2614, 547, 1205, 513, 11931, 4747, 6908, 780, 2467, 781, 1100, 3551, 1259, 547, 798, 713, 267, 596, 3513, 1175, 723, 547, 1413, 585, 607, 1082, 1053, 607, 596, 666, 543, 4126, 930, 540, 873, 786, 6529, 609, 596, 269, 2986, 1576, 267, 602, 1797, 596, 3513, 991, 547, 2119, 707, 1655, 547, 948, 1142, 2875, 269, 5213, 1405, 1577, 707, 29677, 585, 7274, 25010, 519, 2298, 540, 707, 3450, 780, 28775, 2685, 267, 538, 513, 3275, 262, 942, 596, 1058, 723, 1336, 513, 1906, 1053, 945, 1616, 547, 6529, 1472, 585, 930, 942, 780, 2791, 3513, 991, 547, 3715, 875, 1454, 596, 3513, 5279, 829, 5662, 543, 875, 1082, 3108, 596, 991, 547, 960, 829, 3018, 780, 3086, 1577, 781, 2161, 596, 2811, 2469, 547, 5279, 8096, 2412, 606, 5662, 269, 2334, 1797, 596, 991, 547, 960, 476, 10019, 3108, 538, 513, 3923, 547, 3035, 707, 8096, 274, 267, 22430, 270, 24629, 3804, 630, 15478, 31172, 271, 270, 15478, 2412, 1040, 2334, 781, 476, 2641, 3108, 829, 3018, 630, 10019, 270, 275, 1040, 2334, 781, 476, 275, 268, 276, 3108, 513, 1554, 269, 2986, 1576, 267, 519, 811, 596, 5279, 829, 5662, 267, 519, 1447, 3108, 596, 991, 547, 960, 780, 2791, 666, 1287, 3442, 513, 1907, 971, 607, 5616, 11706, 547, 8430, 707, 3450, 27061, 543, 10891, 707, 1272, 780, 2791, 2811, 20290, 1703, 692, 4415, 513, 3787, 540, 2182, 960, 543, 9639, 596, 3513, 3035, 707, 3853, 19692, 982, 596, 1589, 269, 7454, 540, 782, 267, 596, 2811, 8236, 707, 3853, 1210, 513, 5578, 596, 2907, 723, 780, 7197, 1004, 1152, 5326, 540, 2713, 606, 2653, 1272, 899, 713, 267, 855, 585, 596, 621, 666, 581, 513, 4641, 780, 3383, 1205, 856, 513, 4050, 543, 1957, 543, 1376, 1603, 707, 1272, 1544, 2221, 269, 0, 1012, 476, 6642, 4366, 692, 1240, 267, 279, 4366, 630, 324, 697, 8696, 8536, 5216, 4627, 17288, 32732, 264, 568, 606, 1256, 2947, 1673, 580, 1080, 12432, 1297, 1739, 476, 6642, 5325, 543, 18631, 476, 6642, 5392, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 272, 269, 6434, 275, 279, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 3066, 269, 898, 814, 513, 2698, 540, 476, 278, 6305, 2188, 543, 476, 2190, 2318, 16975, 269, 1703, 616, 476, 279, 267, 25953, 2318, 9981, 630, 1575, 547, 476, 6642, 4366, 264, 602, 616, 5266, 6305, 547, 476, 6642, 4366, 780, 1012, 9978, 3601, 692, 1892, 1772, 11788, 286, 3143, 454, 1892, 7089, 26027, 4634, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 3066, 454, 1892, 7913, 17848, 476, 273, 692, 1012, 8745, 692, 14112, 2012, 476, 1240, 8536, 476, 279, 4366, 29933, 8536, 5216, 4627, 17288, 32732, 692, 1012, 3502, 566, 692, 26199, 10035, 476, 272, 269, 6434, 275, 279, 6398, 476, 10441, 476, 1240, 269, 279, 4366, 6398, 476, 9818, 692, 1012, 11788, 16748, 1436, 540, 476, 6642, 4366, 692, 28269, 16748, 1436, 476, 1839, 6398, 476, 866, 6398, 476, 4029, 692, 4467, 22683, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 274, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 278, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 14056, 279, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 476, 271, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 271, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 1240, 267, 279, 4366, 568, 476, 1839, 6398, 476, 866, 6398, 476, 4029, 269, 4595, 621, 814, 513, 2698, 540, 476, 278, 6305, 2188, 267, 476, 1240, 267, 279, 4366, 568, 513, 12432, 1297, 780, 1012, 6555, 30583, 540, 476, 6642, 4366, 692, 272, 267, 476, 273, 267, 476, 275, 267, 476, 279, 267, 476, 1626, 267, 476, 866, 267, 476, 4029, 267, 476, 3953, 267, 476, 4343, 267, 476, 7830, 267, 476, 10602, 267, 476, 14862, 267, 476, 13923, 267, 476, 27886, 267, 476, 19054, 267, 476, 5392, 277, 267, 476, 6812, 280, 267, 476, 2568, 279, 267, 476, 4200, 273, 267, 476, 14056, 279, 267, 476, 20720, 277, 267, 476, 5325, 272, 273, 267, 476, 280, 5655, 275, 267, 476, 6642, 4366, 692, 2190, 16975, 692, 4634, 16975, 476, 736, 476, 275, 476, 273, 476, 273, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 2190, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 29889, 736, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 20969, 7761, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 12739, 271, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 15389, 269, 25971, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 1556, 269, 25546, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 1240, 267, 279, 4366, 666, 581, 5258, 676, 476, 2190, 2318, 16975, 630, 719, 540, 799, 476, 736, 616, 1256, 267, 543, 476, 275, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 1240, 267, 279, 4366, 264, 568, 476, 2412, 267, 17168, 267, 519, 3328, 568, 476, 272, 267, 27151, 780, 1012, 4033, 25226, 12793, 630, 333, 815, 476, 6642, 4366, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 279, 5038, 271, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 24798, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 21497, 271, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 271, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 279, 267, 25953, 2318, 9981, 630, 1652, 982, 476, 1240, 267, 279, 4366, 264, 602, 616, 2941, 31870, 609, 476, 1240, 267, 279, 4366, 269, 1656, 972, 616, 5111, 476, 273, 267, 5611, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 1240, 267, 279, 4366, 780, 1012, 6555, 529, 2225, 540, 476, 6642, 4366, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 271, 476, 273, 476, 271, 476, 274, 476, 273, 476, 275, 476, 271, 476, 273, 692, 763, 1297, 476, 1240, 267, 279, 4366, 568, 16883, 676, 476, 273, 267, 476, 275, 543, 476, 279, 780, 1012, 19032, 540, 476, 6642, 4366, 692, 1892, 25226, 454, 1892, 2806, 1495, 656, 692, 2162, 18124, 1043, 3842, 1808, 18304, 692, 1892, 2717, 924, 454, 1892, 19750, 454, 1892, 6348, 268, 1506, 13607, 26664, 692, 1012, 12476, 7503, 630, 6642, 4366, 2020, 26015, 3590, 10025, 454, 273, 23030, 476, 1911, 1911, 8099, 1911, 1822, 454, 274, 570, 1716, 776, 476, 21854, 18891, 16573, 454, 275, 2372, 15715, 776, 476, 9083, 14338, 876, 454, 276, 2372, 2435, 476, 8099, 271, 4097, 274, 454, 277, 7354, 776, 476, 23417, 15171, 454, 279, 4239, 531, 476, 4510, 277, 2412, 454, 1015, 27252, 476, 6642, 4366, 454, 1321, 13660, 1712, 31565, 513, 12711, 279, 454, 736, 966, 580, 525, 2711, 476, 26604, 279 ]

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

[ 11600, 547, 3391, 596, 888, 5649, 5708, 267, 4249, 267, 6965, 286, 0, 276, 18838, 2055, 454, 276, 631, 10248, 2055, 454, 268, 29110, 2583, 16856, 29935, 17011, 267, 528, 5711, 12862, 855, 11298, 2464, 10691, 23309, 563, 268, 7720, 626, 14333, 281, 9252, 896, 2604, 563, 268, 476, 1428, 268, 1789, 7273, 2604, 630, 27923, 994, 268, 8299, 337, 21319, 7738, 454, 268, 476, 1789, 7643, 454, 268, 513, 1548, 568, 834, 572, 6193, 15560, 257, 2627, 7121, 888, 268, 536, 1215, 1279, 798, 649, 23574, 1216, 3515, 538, 1063, 1142, 3461, 888, 268, 524, 1548, 568, 519, 1826, 540, 10322, 16478, 649, 946, 693, 674, 307, 6717, 888, 268, 546, 1215, 1454, 2604, 568, 1031, 585, 5848, 3002, 10322, 16478, 888, 268, 552, 1548, 1184, 568, 10930, 982, 8261, 7738, 1991, 547, 10322, 16478, 888, 276, 13038, 3903, 2055, 454, 268, 1548, 1281, 543, 24498, 11906, 25824, 1807, 798, 888, 268, 1548, 798, 596, 798, 1310, 596, 723, 10443, 707, 7405, 998, 519, 24318, 21319, 3684, 888, 268, 1548, 616, 930, 1806, 540, 834, 523, 16652, 257, 3615, 888, 268, 1548, 616, 930, 1806, 540, 1713, 23927, 888, 268, 1548, 616, 930, 1806, 540, 834, 572, 6193, 15560, 257, 3615, 888, 276, 6936, 270, 16178, 2055, 454, 3412, 9712, 2299, 11547, 10138, 609, 12853, 543, 1216, 267, 4469, 2313, 1858, 609, 2312, 1216, 29649, 267, 7797, 547, 1268, 538, 5279, 267, 13159, 10071, 1867, 267, 1246, 11540, 5773, 540, 9036, 267, 543, 1246, 519, 1034, 2487, 2022, 1410, 17068, 4808, 3177, 676, 519, 2475, 6583, 331, 322, 2657, 6796, 269, 9890, 1548, 616, 519, 11393, 540, 11906, 966, 8388, 28238, 16478, 888, 5591, 14809, 267, 1434, 585, 2326, 602, 3112, 581, 16271, 547, 9252, 896, 2604, 267, 950, 693, 2953, 10917, 269, 621, 568, 1134, 14018, 585, 8325, 7405, 269, 9890, 1548, 616, 930, 540, 519, 5383, 540, 11906, 966, 8388, 28238, 16478, 888, 288, 572, 10364, 26435, 9890, 1548, 568, 606, 1383, 540, 21536, 16479, 5464, 888, 272, 268, 273, 3108, 9890, 1548, 568, 519, 942, 2039, 585, 3819, 3002, 10322, 16478, 888, 14096, 4113, 674, 910, 476, 15171, 4113, 674, 630, 18605, 4113, 595, 910, 476, 17734, 4113, 595, 264, 9890, 1548, 568, 519, 2837, 2039, 585, 3819, 3002, 10322, 16478, 286, 0, 27455, 5658, 2475, 10966, 7040, 5947, 902, 2429, 1686, 454, 1103, 513, 476, 276, 268, 275, 8917, 267, 519, 10966, 7040, 12199, 2221, 602, 519, 16470, 540, 25141, 2920, 15194, 267, 610, 667, 6865, 288, 267, 729, 796, 6247, 6627, 269, 5221, 540, 713, 15194, 267, 9310, 1482, 20967, 15185, 1058, 1205, 519, 1482, 5313, 2640, 607, 10636, 18400, 15185, 563, 1103, 1776, 3375, 827, 4993, 781, 11330, 476, 279, 267, 519, 10966, 7040, 4956, 621, 1705, 711, 723, 16278, 547, 5873, 519, 11330, 476, 279, 2013, 267, 15603, 1796, 513, 2539, 5480, 15194, 16765, 9506, 11330, 476, 279, 563, 11693, 519, 6612, 540, 1312, 14447, 7365, 15156, 543, 2757, 1235, 267, 891, 3664, 616, 26405, 547, 581, 11786, 563, 4415, 891, 2665, 538, 2247, 267, 1934, 568, 513, 1592, 540, 930, 19506, 10966, 7040, 5947, 902, 689, 1686, 269, 1358, 616, 5258, 883, 2185, 6688, 281, 5947, 902, 16765, 9506, 5313, 1876, 267, 5947, 902, 16765, 9506, 1533, 1876, 267, 5947, 902, 30176, 5313, 1876, 543, 5947, 902, 30176, 1533, 1876, 563, 268, 1412, 291, 3089, 19092, 262, 8250, 16853, 547, 4168, 2483, 268, 18096, 1920, 3792, 1206, 476, 273, 29507, 476, 277, 4374, 6306, 454, 268, 12984, 6379, 15555, 528, 513, 3815, 538, 11318, 540, 2483, 268, 5565, 2367, 9901, 609, 642, 663, 531, 1944, 700, 9169, 5939, 2483, 268, 700, 9169, 5783, 32245, 1079, 1007, 3594, 593, 2250, 2483, 268, 31932, 3282, 7615, 11832, 781, 1560, 1336, 2282, 31996, 531, 454, 268, 4414, 543, 9791, 5589, 21209, 281, 634, 6268, 1184, 2483, 268, 5565, 4168, 26110, 20549, 547, 1685, 2483, 268, 769, 938, 6644, 281, 18096, 7784, 1876, 602, 1862, 476, 5611, 454, 268, 9400, 16026, 281, 2052, 513, 30963, 711, 581, 513, 1862, 476, 7597, 454, 268, 769, 938, 6644, 281, 1715, 15061, 2112, 593, 1862, 476, 7871, 454, 268, 769, 938, 6644, 281, 7316, 814, 519, 1920, 1862, 476, 7871, 454, 268, 20289, 5345, 27255, 281, 1284, 2811, 4742, 513, 4182, 1862, 476, 4343, 454, 268, 14594, 281, 1548, 568, 2048, 21720, 1434, 286, 685, 476, 4029, 454, 268, 7917, 26999, 9116, 281, 4813, 518, 16470, 1862, 476, 3066, 454, 268, 14594, 281, 16497, 585, 15535, 13852, 476, 2764 ]

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